TSTP Solution File: SWW474^3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW474^3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 : Fri Sep 1 00:21:10 EDT 2023
% Result : Theorem 1.85s 2.23s
% Output : Proof 1.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.30 % Problem : SWW474^3 : TPTP v8.1.2. Released v5.3.0.
% 0.15/0.31 % Command : do_cvc5 %s %d
% 0.31/0.51 % Computer : n018.cluster.edu
% 0.31/0.51 % Model : x86_64 x86_64
% 0.31/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.31/0.51 % Memory : 8042.1875MB
% 0.31/0.51 % OS : Linux 3.10.0-693.el7.x86_64
% 0.31/0.51 % CPULimit : 300
% 0.31/0.51 % WCLimit : 300
% 0.31/0.51 % DateTime : Sun Aug 27 20:37:46 EDT 2023
% 0.31/0.51 % CPUTime :
% 0.60/0.81 %----Proving TH0
% 0.66/0.82 %------------------------------------------------------------------------------
% 0.66/0.82 % File : SWW474^3 : TPTP v8.1.2. Released v5.3.0.
% 0.66/0.82 % Domain : Software Verification
% 0.66/0.82 % Problem : Hoare's Logic with Procedures line 440, 1000 axioms selected
% 0.66/0.82 % Version : Especial.
% 0.66/0.82 % English :
% 0.66/0.82
% 0.66/0.82 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.66/0.82 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 0.66/0.82 % Source : [Bla11]
% 0.66/0.82 % Names : hoare_1000_thf_l440 [Bla11]
% 0.66/0.82
% 0.66/0.82 % Status : Theorem
% 0.66/0.82 % Rating : 0.38 v8.1.0, 0.45 v7.5.0, 0.43 v7.4.0, 0.67 v7.2.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0, 0.43 v6.1.0, 0.71 v5.5.0, 0.67 v5.4.0, 1.00 v5.3.0
% 0.66/0.82 % Syntax : Number of formulae : 1408 ( 309 unt; 183 typ; 0 def)
% 0.66/0.82 % Number of atoms : 5625 ( 988 equ; 98 cnn)
% 0.66/0.82 % Maximal formula atoms : 14 ( 4 avg)
% 0.66/0.82 % Number of connectives : 10844 ( 371 ~; 67 |; 218 &;8598 @)
% 0.66/0.82 % ( 250 <=>;1340 =>; 0 <=; 0 <~>)
% 0.66/0.82 % Maximal formula depth : 19 ( 7 avg)
% 0.66/0.82 % Number of types : 8 ( 7 usr)
% 0.66/0.82 % Number of type conns : 3712 (3712 >; 0 *; 0 +; 0 <<)
% 0.66/0.82 % Number of symbols : 183 ( 176 usr; 15 con; 0-5 aty)
% 0.66/0.82 % Number of variables : 3382 ( 194 ^;3110 !; 78 ?;3382 :)
% 0.66/0.82 % SPC : TH0_THM_EQU_NAR
% 0.66/0.82
% 0.66/0.82 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 0.66/0.82 % 2011-08-09 20:06:01
% 0.66/0.82 %------------------------------------------------------------------------------
% 0.66/0.82 %----Should-be-implicit typings (7)
% 0.66/0.82 thf(ty_ty_tc__Com__Ocom,type,
% 0.66/0.82 com: $tType ).
% 0.66/0.82
% 0.66/0.82 thf(ty_ty_tc__Com__Opname,type,
% 0.66/0.82 pname: $tType ).
% 0.66/0.82
% 0.66/0.82 thf(ty_ty_tc__Com__Ostate,type,
% 0.66/0.82 state: $tType ).
% 0.66/0.82
% 0.66/0.82 thf(ty_ty_tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate_J,type,
% 0.66/0.82 hoare_1708887482_state: $tType ).
% 0.66/0.82
% 0.66/0.82 thf(ty_ty_tc__Option__Ooption_Itc__Com__Ocom_J,type,
% 0.66/0.82 option_com: $tType ).
% 0.66/0.82
% 0.66/0.82 thf(ty_ty_tc__Option__Ooption_Itc__Com__Opname_J,type,
% 0.66/0.82 option_pname: $tType ).
% 0.66/0.82
% 0.66/0.82 thf(ty_ty_tc__Option__Ooption_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Co,type,
% 0.66/0.82 option1624383643_state: $tType ).
% 0.66/0.82
% 0.66/0.82 %----Explicit typings (176)
% 0.66/0.82 thf(sy_c_Big__Operators_Olattice__class_OInf__fin_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 big_la1126801287name_o: ( ( pname > $o ) > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Big__Operators_Olattice__class_OInf__fin_000_062_Itc__Hoare____Mirabelle___,type,
% 0.66/0.82 big_la781588935tate_o: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Com_OWT,type,
% 0.66/0.82 wt: com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Com_OWT__bodies,type,
% 0.66/0.82 wT_bodies: $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Com_Obody,type,
% 0.66/0.82 body: pname > option_com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Com_Ocom_OBODY,type,
% 0.66/0.82 body_1: pname > com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Com_Ocom_OSKIP,type,
% 0.66/0.82 skip: com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Com_Ocom_OSemi,type,
% 0.66/0.82 semi: com > com > com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Com_Ocom_OWhile,type,
% 0.66/0.82 while: ( state > $o ) > com > com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ocomp__fun__idem_000_062_Itc__Com__Opname_M_Eo_J_000_062_Itc__C,type,
% 0.66/0.82 finite138924780name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ocomp__fun__idem_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv_,type,
% 0.66/0.82 finite2034616076tate_o: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ocomp__fun__idem_000_Eo_000_Eo,type,
% 0.66/0.82 finite2048025996em_o_o: ( $o > $o > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ocomp__fun__idem_000tc__Com__Ocom_000_062_Itc__Com__Ocom_M_Eo_J,type,
% 0.66/0.82 finite567462577_com_o: ( com > ( com > $o ) > com > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ocomp__fun__idem_000tc__Com__Opname_000_062_Itc__Com__Opname_M_,type,
% 0.66/0.82 finite1123817265name_o: ( pname > ( pname > $o ) > pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ocomp__fun__idem_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otrip,type,
% 0.66/0.82 finite662762081tate_o: ( hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofinite_000_062_I_062_Itc__Com__Opname_M_Eo_J_M_Eo_J,type,
% 0.66/0.82 finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofinite_000_062_I_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Ot,type,
% 0.66/0.82 finite1019950101te_o_o: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofinite_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofinite_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_,type,
% 0.66/0.82 finite1329924456tate_o: ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofinite_000_Eo,type,
% 0.66/0.82 finite_finite_o: ( $o > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofinite_000tc__Com__Ocom,type,
% 0.66/0.82 finite_finite_com: ( com > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofinite_000tc__Com__Opname,type,
% 0.66/0.82 finite_finite_pname: ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofinite_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__C,type,
% 0.66/0.82 finite1625599783_state: ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000_062_Itc__Com__Opname_M_Eo_J_000_062_I_062_Itc__Com__O,type,
% 0.66/0.82 finite1849951719me_o_o: ( ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000_062_Itc__Com__Opname_M_Eo_J_000_062_Itc__Com__Opname_,type,
% 0.66/0.82 finite472615016name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_It,type,
% 0.66/0.82 finite463603445te_o_o: ( ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_It_001,type,
% 0.66/0.82 finite822533768tate_o: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000_Eo_000_Eo,type,
% 0.66/0.82 finite_fold_o_o: ( $o > $o > $o ) > $o > ( $o > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000tc__Com__Ocom_000_062_Itc__Com__Ocom_M_Eo_J,type,
% 0.66/0.82 finite504235573_com_o: ( com > ( com > $o ) > com > $o ) > ( com > $o ) > ( com > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000tc__Com__Ocom_000tc__Com__Ocom,type,
% 0.66/0.82 finite_fold_com_com: ( com > com > com ) > com > ( com > $o ) > com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000tc__Com__Opname_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 finite603803317name_o: ( pname > ( pname > $o ) > pname > $o ) > ( pname > $o ) > ( pname > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000tc__Com__Opname_000tc__Com__Opname,type,
% 0.66/0.82 finite1657623752_pname: ( pname > pname > pname ) > pname > ( pname > $o ) > pname ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com,type,
% 0.66/0.82 finite96880613tate_o: ( hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com_002,type,
% 0.66/0.82 finite309095018_state: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofold__image_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otr,type,
% 0.66/0.82 finite2139561282_pname: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( pname > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 finite349908348name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( ( ( pname > $o ) > $o ) > pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Ot,type,
% 0.66/0.82 finite928843026tate_o: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one_000tc__Com__Ocom,type,
% 0.66/0.82 finite860057415ne_com: ( com > com > com ) > ( ( com > $o ) > com ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one_000tc__Com__Opname,type,
% 0.66/0.82 finite1282449217_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_,type,
% 0.66/0.82 finite1615457021_state: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one__idem_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 finite697516351name_o: ( ( pname > $o ) > ( pname > $o ) > pname > $o ) > ( ( ( pname > $o ) > $o ) > pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one__idem_000_062_Itc__Hoare____Mirabelle____nqhfsdfv,type,
% 0.66/0.82 finite621643279tate_o: ( ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one__idem_000tc__Com__Ocom,type,
% 0.66/0.82 finite666746948em_com: ( com > com > com ) > ( ( com > $o ) > com ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one__idem_000tc__Com__Opname,type,
% 0.66/0.82 finite89670078_pname: ( pname > pname > pname ) > ( ( pname > $o ) > pname ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Finite__Set_Ofolding__one__idem_000tc__Hoare____Mirabelle____nqhfsdfvyv__Ot,type,
% 0.66/0.82 finite1347568576_state: ( hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ) > ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Ofun__upd_000tc__Com__Opname_000tc__Hoare____Mirabelle____nqhfsdfvyv__O,type,
% 0.66/0.82 fun_up1986763201_state: ( pname > hoare_1708887482_state ) > pname > hoare_1708887482_state > pname > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Ofun__upd_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Ocom_J,type,
% 0.66/0.82 fun_up879233478on_com: ( pname > option_com ) > pname > option_com > pname > option_com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000_062_Itc__Com__Opname_M_Eo_J_000_062_Itc__Com__Opname_M_Eo_,type,
% 0.66/0.82 inj_on691924881name_o: ( ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Co,type,
% 0.66/0.82 inj_on176908593tate_o: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000tc__Com__Ocom_000tc__Option__Ooption_Itc__Com__Ocom_J,type,
% 0.66/0.82 inj_on11367768on_com: ( com > option_com ) > ( com > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000tc__Com__Opname_000tc__Com__Opname,type,
% 0.66/0.82 inj_on_pname_pname: ( pname > pname ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000tc__Com__Opname_000tc__Hoare____Mirabelle____nqhfsdfvyv__Ot,type,
% 0.66/0.82 inj_on1553129421_state: ( pname > hoare_1708887482_state ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Opname_J,type,
% 0.66/0.82 inj_on737724108_pname: ( pname > option_pname ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ost,type,
% 0.66/0.82 inj_on1945914667_pname: ( hoare_1708887482_state > pname ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ost_003,type,
% 0.66/0.82 inj_on632008595_state: ( hoare_1708887482_state > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Oinj__on_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ost_004,type,
% 0.66/0.82 inj_on945311362_state: ( hoare_1708887482_state > option1624383643_state ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Fun_Ooverride__on_000tc__Com__Opname_000tc__Option__Ooption_Itc__Com__Ocom_,type,
% 0.66/0.82 overri1496249029on_com: ( pname > option_com ) > ( pname > option_com ) > ( pname > $o ) > pname > option_com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Groups_Ominus__class_Ominus_000_062_I_062_Itc__Com__Opname_M_Eo_J_M_Eo_J,type,
% 0.66/0.82 minus_1480864103me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Groups_Ominus__class_Ominus_000_062_I_062_Itc__Hoare____Mirabelle____nqhfsd,type,
% 0.66/0.82 minus_548038231te_o_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Groups_Ominus__class_Ominus_000_062_Itc__Com__Ocom_M_Eo_J,type,
% 0.66/0.82 minus_minus_com_o: ( com > $o ) > ( com > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Groups_Ominus__class_Ominus_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 minus_minus_pname_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Groups_Ominus__class_Ominus_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__,type,
% 0.66/0.82 minus_2056855718tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_HOL_OThe_000tc__Com__Ocom,type,
% 0.66/0.82 the_com_1: ( com > $o ) > com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_HOL_OThe_000tc__Com__Opname,type,
% 0.66/0.82 the_pname: ( pname > $o ) > pname ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_HOL_OThe_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate_,type,
% 0.66/0.82 the_Ho851197897_state: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Hoare__Mirabelle__nqhfsdfvyv_OMGT,type,
% 0.66/0.82 hoare_Mirabelle_MGT: com > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Hoare__Mirabelle__nqhfsdfvyv_Ohoare__derivs_000tc__Com__Ostate,type,
% 0.66/0.82 hoare_90032982_state: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Hoare__Mirabelle__nqhfsdfvyv_Ohoare__valids_000tc__Com__Ostate,type,
% 0.66/0.82 hoare_496444244_state: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Hoare__Mirabelle__nqhfsdfvyv_Ostate__not__singleton,type,
% 0.66/0.82 hoare_1160767572gleton: $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Hoare__Mirabelle__nqhfsdfvyv_Otriple_Otriple_000tc__Com__Ostate,type,
% 0.66/0.82 hoare_858012674_state: ( state > state > $o ) > com > ( state > state > $o ) > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_If_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate_J,type,
% 0.66/0.82 if_Hoa1374726218_state: $o > hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_If_000tc__Option__Ooption_Itc__Com__Ocom_J,type,
% 0.66/0.82 if_option_com: $o > option_com > option_com > option_com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__inf__class_Oinf_000_062_I_062_Itc__Com__Opname_M_Eo_,type,
% 0.66/0.82 semila2013987940me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__inf__class_Oinf_000_062_I_062_Itc__Hoare____Mirabell,type,
% 0.66/0.82 semila598060698te_o_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__inf__class_Oinf_000_062_Itc__Com__Ocom_M_Eo_J,type,
% 0.66/0.82 semila513601829_com_o: ( com > $o ) > ( com > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__inf__class_Oinf_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 semila1673364395name_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__inf__class_Oinf_000_062_Itc__Hoare____Mirabelle____n,type,
% 0.66/0.82 semila129691299tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__inf__class_Oinf_000_Eo,type,
% 0.66/0.82 semila854092349_inf_o: $o > $o > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__sup__class_Osup_000_062_I_062_Itc__Com__Opname_M_Eo_,type,
% 0.66/0.82 semila181081674me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__sup__class_Osup_000_062_I_062_Itc__Hoare____Mirabell,type,
% 0.66/0.82 semila1853742644te_o_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__sup__class_Osup_000_062_Itc__Com__Ocom_M_Eo_J,type,
% 0.66/0.82 semila1562558655_com_o: ( com > $o ) > ( com > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__sup__class_Osup_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 semila1780557381name_o: ( pname > $o ) > ( pname > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__sup__class_Osup_000_062_Itc__Hoare____Mirabelle____n,type,
% 0.66/0.82 semila1122118281tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Lattices_Osemilattice__sup__class_Osup_000_Eo,type,
% 0.66/0.82 semila10642723_sup_o: $o > $o > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Map_Odom_000tc__Com__Ocom_000tc__Com__Ocom,type,
% 0.66/0.82 dom_com_com: ( com > option_com ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Ocom,type,
% 0.66/0.82 dom_pname_com: ( pname > option_com ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Map_Odom_000tc__Com__Opname_000tc__Com__Opname,type,
% 0.66/0.82 dom_pname_pname: ( pname > option_pname ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Map_Odom_000tc__Com__Opname_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otripl,type,
% 0.66/0.82 dom_pn1412407212_state: ( pname > option1624383643_state ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Map_Odom_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate_,type,
% 0.66/0.82 dom_Ho1805192458_pname: ( hoare_1708887482_state > option_pname ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Map_Odom_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate__005,type,
% 0.66/0.82 dom_Ho1703271284_state: ( hoare_1708887482_state > option1624383643_state ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Map_Orestrict__map_000tc__Com__Opname_000tc__Com__Ocom,type,
% 0.66/0.82 restri1382200118me_com: ( pname > option_com ) > ( pname > $o ) > pname > option_com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Natural_Oevalc,type,
% 0.66/0.82 evalc: com > state > state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ois__none_000tc__Com__Ocom,type,
% 0.66/0.82 is_none_com: option_com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ois__none_000tc__Com__Opname,type,
% 0.66/0.82 is_none_pname: option_pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ois__none_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com_,type,
% 0.66/0.82 is_non163157940_state: option1624383643_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ooption_ONone_000tc__Com__Ocom,type,
% 0.66/0.82 none_com: option_com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ooption_ONone_000tc__Com__Opname,type,
% 0.66/0.82 none_pname: option_pname ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ooption_ONone_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__,type,
% 0.66/0.82 none_H1106584047_state: option1624383643_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ooption_OSome_000tc__Com__Ocom,type,
% 0.66/0.82 some_com: com > option_com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ooption_OSome_000tc__Com__Opname,type,
% 0.66/0.82 some_pname: pname > option_pname ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Ooption_OSome_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__,type,
% 0.66/0.82 some_H1974565227_state: hoare_1708887482_state > option1624383643_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Oset_000tc__Com__Ocom,type,
% 0.66/0.82 set_com: option_com > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Oset_000tc__Com__Opname,type,
% 0.66/0.82 set_pname: option_pname > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Oset_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Osta,type,
% 0.66/0.82 set_Ho525251890_state: option1624383643_state > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Othe_000tc__Com__Ocom,type,
% 0.66/0.82 the_com: option_com > com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Othe_000tc__Com__Opname,type,
% 0.66/0.82 the_pname_1: option_pname > pname ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Option_Othe_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Osta,type,
% 0.66/0.82 the_Ho963921505_state: option1624383643_state > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Obot__class_Obot_000_062_I_062_Itc__Com__Opname_M_Eo_J_M_Eo_J,type,
% 0.66/0.82 bot_bot_pname_o_o: ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Obot__class_Obot_000_062_I_062_Itc__Hoare____Mirabelle____nqhfsdf,type,
% 0.66/0.82 bot_bo1678742418te_o_o: ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Obot__class_Obot_000_062_Itc__Com__Ocom_M_Eo_J,type,
% 0.66/0.82 bot_bot_com_o: com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Obot__class_Obot_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 bot_bot_pname_o: pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Obot__class_Obot_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__O,type,
% 0.66/0.82 bot_bo19817387tate_o: hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Obot__class_Obot_000_Eo,type,
% 0.66/0.82 bot_bot_o: $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Oord__class_Oless__eq_000_062_I_062_Itc__Com__Opname_M_Eo_J_M_Eo_,type,
% 0.66/0.82 ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Oord__class_Oless__eq_000_062_I_062_Itc__Hoare____Mirabelle____nq,type,
% 0.66/0.82 ord_le1728773982te_o_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Oord__class_Oless__eq_000_062_Itc__Com__Ocom_M_Eo_J,type,
% 0.66/0.82 ord_less_eq_com_o: ( com > $o ) > ( com > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Oord__class_Oless__eq_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Oord__class_Oless__eq_000_062_Itc__Hoare____Mirabelle____nqhfsdfv,type,
% 0.66/0.82 ord_le777019615tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Oord__class_Oless__eq_000_Eo,type,
% 0.66/0.82 ord_less_eq_o: $o > $o > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Otop__class_Otop_000_062_Itc__Com__Ocom_M_Eo_J,type,
% 0.66/0.82 top_top_com_o: com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Otop__class_Otop_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 top_top_pname_o: pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Orderings_Otop__class_Otop_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__O,type,
% 0.66/0.82 top_to832624271tate_o: hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Partial__Function_Oflat__lub_000tc__Com__Ocom,type,
% 0.66/0.82 partial_flat_lub_com: com > ( com > $o ) > com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Partial__Function_Oflat__lub_000tc__Com__Opname,type,
% 0.66/0.82 partia752020666_pname: pname > ( pname > $o ) > pname ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Partial__Function_Oflat__lub_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otrip,type,
% 0.66/0.82 partia1256728516_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_OCollect_000_062_I_062_Itc__Com__Opname_M_Eo_J_M_Eo_J,type,
% 0.66/0.82 collect_pname_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_OCollect_000_062_I_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_I,type,
% 0.66/0.82 collec58007891te_o_o: ( ( ( hoare_1708887482_state > $o ) > $o ) > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_OCollect_000_062_Itc__Com__Opname_M_Eo_J,type,
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% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_OCollect_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Co,type,
% 0.66/0.82 collec219771562tate_o: ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_OCollect_000tc__Com__Ocom,type,
% 0.66/0.82 collect_com: ( com > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_OCollect_000tc__Com__Opname,type,
% 0.66/0.82 collect_pname: ( pname > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_OCollect_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ost,type,
% 0.66/0.82 collec1568722789_state: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000_062_Itc__Com__Opname_M_Eo_J_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 image_1085733413name_o: ( ( pname > $o ) > pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000_062_Itc__Com__Opname_M_Eo_J_000tc__Com__Opname,type,
% 0.66/0.82 image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000_062_Itc__Com__Opname_M_Eo_J_000tc__Hoare____Mirabelle____nqh,type,
% 0.66/0.82 image_1922967206_state: ( ( pname > $o ) > hoare_1708887482_state ) > ( ( pname > $o ) > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com_,type,
% 0.66/0.82 image_909543877tate_o: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__006,type,
% 0.66/0.82 image_2051418740_pname: ( ( hoare_1708887482_state > $o ) > pname ) > ( ( hoare_1708887482_state > $o ) > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__007,type,
% 0.66/0.82 image_27005066_state: ( ( hoare_1708887482_state > $o ) > hoare_1708887482_state ) > ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Com__Ocom_000tc__Com__Ocom,type,
% 0.66/0.82 image_com_com: ( com > com ) > ( com > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Com__Ocom_000tc__Com__Opname,type,
% 0.66/0.82 image_com_pname: ( com > pname ) > ( com > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Com__Ocom_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otripl,type,
% 0.66/0.82 image_934102463_state: ( com > hoare_1708887482_state ) > ( com > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Com__Opname_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 image_pname_pname_o: ( pname > pname > $o ) > ( pname > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Com__Opname_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv,type,
% 0.66/0.82 image_425134806tate_o: ( pname > hoare_1708887482_state > $o ) > ( pname > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Ocom,type,
% 0.66/0.82 image_pname_com: ( pname > com ) > ( pname > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Com__Opname_000tc__Com__Opname,type,
% 0.66/0.82 image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Com__Opname_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otri,type,
% 0.66/0.82 image_1116629049_state: ( pname > hoare_1708887482_state ) > ( pname > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostat,type,
% 0.66/0.82 image_1552895654name_o: ( hoare_1708887482_state > pname > $o ) > ( hoare_1708887482_state > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostat_008,type,
% 0.66/0.82 image_1551509096tate_o: ( hoare_1708887482_state > hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostat_009,type,
% 0.66/0.82 image_1604448413te_com: ( hoare_1708887482_state > com ) > ( hoare_1708887482_state > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostat_010,type,
% 0.66/0.82 image_1509414295_pname: ( hoare_1708887482_state > pname ) > ( hoare_1708887482_state > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oimage_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostat_011,type,
% 0.66/0.82 image_757158439_state: ( hoare_1708887482_state > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oinsert_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 insert_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oinsert_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com,type,
% 0.66/0.82 insert949073679tate_o: ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oinsert_000_Eo,type,
% 0.66/0.82 insert_o: $o > ( $o > $o ) > $o > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oinsert_000tc__Com__Ocom,type,
% 0.66/0.82 insert_com: com > ( com > $o ) > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oinsert_000tc__Com__Opname,type,
% 0.66/0.82 insert_pname: pname > ( pname > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Oinsert_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Osta,type,
% 0.66/0.82 insert528405184_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Othe__elem_000tc__Com__Ocom,type,
% 0.66/0.82 the_elem_com: ( com > $o ) > com ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Othe__elem_000tc__Com__Opname,type,
% 0.66/0.82 the_elem_pname: ( pname > $o ) > pname ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Othe__elem_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__O,type,
% 0.66/0.82 the_el864710747_state: ( hoare_1708887482_state > $o ) > hoare_1708887482_state ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_Set_Ovimage_000tc__Com__Opname_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otr,type,
% 0.66/0.82 vimage1943311875_state: ( pname > hoare_1708887482_state ) > ( hoare_1708887482_state > $o ) > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_fequal_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 fequal_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_fequal_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ost,type,
% 0.66/0.82 fequal1436017556tate_o: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_fequal_000tc__Com__Ocom,type,
% 0.66/0.82 fequal_com: com > com > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_fequal_000tc__Com__Opname,type,
% 0.66/0.82 fequal_pname: pname > pname > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_fequal_000tc__Com__Ostate,type,
% 0.66/0.82 fequal_state: state > state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_fequal_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate_J,type,
% 0.66/0.82 fequal224822779_state: hoare_1708887482_state > hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_member_000_062_Itc__Com__Opname_M_Eo_J,type,
% 0.66/0.82 member_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_member_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ost,type,
% 0.66/0.82 member814030440tate_o: ( hoare_1708887482_state > $o ) > ( ( hoare_1708887482_state > $o ) > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_member_000_Eo,type,
% 0.66/0.82 member_o: $o > ( $o > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_member_000tc__Com__Ocom,type,
% 0.66/0.82 member_com: com > ( com > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_member_000tc__Com__Opname,type,
% 0.66/0.82 member_pname: pname > ( pname > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_c_member_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate_J,type,
% 0.66/0.82 member451959335_state: hoare_1708887482_state > ( hoare_1708887482_state > $o ) > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_v_Fa,type,
% 0.66/0.82 fa: hoare_1708887482_state > $o ).
% 0.66/0.82
% 0.66/0.82 thf(sy_v_pn,type,
% 0.66/0.82 pn: pname ).
% 0.66/0.82
% 0.66/0.82 thf(sy_v_y,type,
% 0.66/0.82 y: com ).
% 0.66/0.82
% 0.66/0.82 %----Relevant facts (1199)
% 0.66/0.82 thf(fact_0_empty,axiom,
% 0.66/0.82 ! [G_7: hoare_1708887482_state > $o] : ( hoare_90032982_state @ G_7 @ bot_bo19817387tate_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_1_asm,axiom,
% 0.66/0.82 ! [Ts_7: hoare_1708887482_state > $o,G_39: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ Ts_7 @ G_39 )
% 0.66/0.82 => ( hoare_90032982_state @ G_39 @ Ts_7 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_2_weaken,axiom,
% 0.66/0.82 ! [Ts_6: hoare_1708887482_state > $o,G_38: hoare_1708887482_state > $o,Ts_5: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_38 @ Ts_5 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ Ts_6 @ Ts_5 )
% 0.66/0.82 => ( hoare_90032982_state @ G_38 @ Ts_6 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_3_thin,axiom,
% 0.66/0.82 ! [G_37: hoare_1708887482_state > $o,G_36: hoare_1708887482_state > $o,Ts_4: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_36 @ Ts_4 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ G_36 @ G_37 )
% 0.66/0.82 => ( hoare_90032982_state @ G_37 @ Ts_4 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_4_cut,axiom,
% 0.66/0.82 ! [G_35: hoare_1708887482_state > $o,G_34: hoare_1708887482_state > $o,Ts_3: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_34 @ Ts_3 )
% 0.66/0.82 => ( ( hoare_90032982_state @ G_35 @ G_34 )
% 0.66/0.82 => ( hoare_90032982_state @ G_35 @ Ts_3 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_5_hoare__derivs_Oinsert,axiom,
% 0.66/0.82 ! [Ts_2: hoare_1708887482_state > $o,G_33: hoare_1708887482_state > $o,T_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_33 @ ( insert528405184_state @ T_3 @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( ( hoare_90032982_state @ G_33 @ Ts_2 )
% 0.66/0.82 => ( hoare_90032982_state @ G_33 @ ( insert528405184_state @ T_3 @ Ts_2 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_6_derivs__insertD,axiom,
% 0.66/0.82 ! [G_32: hoare_1708887482_state > $o,T_2: hoare_1708887482_state,Ts_1: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_32 @ ( insert528405184_state @ T_2 @ Ts_1 ) )
% 0.66/0.82 => ( ( hoare_90032982_state @ G_32 @ ( insert528405184_state @ T_2 @ bot_bo19817387tate_o ) )
% 0.66/0.82 & ( hoare_90032982_state @ G_32 @ Ts_1 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_7_MGT__BodyN,axiom,
% 0.66/0.82 ! [Pn_1: pname,G_7: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ ( body_1 @ Pn_1 ) ) @ G_7 ) @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ ( the_com @ ( body @ Pn_1 ) ) ) @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_7 @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ ( body_1 @ Pn_1 ) ) @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_8_finite__Collect__subsets,axiom,
% 0.66/0.82 ! [A_274: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ A_274 )
% 0.66/0.82 => ( finite1066544169me_o_o
% 0.66/0.82 @ ( collect_pname_o_o
% 0.66/0.82 @ ^ [B_84: ( pname > $o ) > $o] : ( ord_le1205211808me_o_o @ B_84 @ A_274 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_9_finite__Collect__subsets,axiom,
% 0.66/0.82 ! [A_274: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ A_274 )
% 0.66/0.82 => ( finite1019950101te_o_o
% 0.66/0.82 @ ( collec58007891te_o_o
% 0.66/0.82 @ ^ [B_84: ( hoare_1708887482_state > $o ) > $o] : ( ord_le1728773982te_o_o @ B_84 @ A_274 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_10_finite__Collect__subsets,axiom,
% 0.66/0.82 ! [A_274: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ A_274 )
% 0.66/0.82 => ( finite1329924456tate_o
% 0.66/0.82 @ ( collec219771562tate_o
% 0.66/0.82 @ ^ [B_84: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ B_84 @ A_274 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_11_finite__Collect__subsets,axiom,
% 0.66/0.82 ! [A_274: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ A_274 )
% 0.66/0.82 => ( finite297249702name_o
% 0.66/0.82 @ ( collect_pname_o
% 0.66/0.82 @ ^ [B_84: pname > $o] : ( ord_less_eq_pname_o @ B_84 @ A_274 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_12_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: hoare_1708887482_state > pname > $o,F_88: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ F_88 )
% 0.66/0.82 => ( finite297249702name_o @ ( image_1552895654name_o @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_13_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: hoare_1708887482_state > hoare_1708887482_state > $o,F_88: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ F_88 )
% 0.66/0.82 => ( finite1329924456tate_o @ ( image_1551509096tate_o @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_14_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: pname > pname > $o,F_88: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ F_88 )
% 0.66/0.82 => ( finite297249702name_o @ ( image_pname_pname_o @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_15_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: pname > hoare_1708887482_state > $o,F_88: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ F_88 )
% 0.66/0.82 => ( finite1329924456tate_o @ ( image_425134806tate_o @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_16_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: ( pname > $o ) > hoare_1708887482_state,F_88: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ F_88 )
% 0.66/0.82 => ( finite1625599783_state @ ( image_1922967206_state @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_17_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: ( hoare_1708887482_state > $o ) > hoare_1708887482_state,F_88: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ F_88 )
% 0.66/0.82 => ( finite1625599783_state @ ( image_27005066_state @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_18_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: ( pname > $o ) > pname,F_88: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ F_88 )
% 0.66/0.82 => ( finite_finite_pname @ ( image_pname_o_pname @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_19_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: ( hoare_1708887482_state > $o ) > pname,F_88: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ F_88 )
% 0.66/0.82 => ( finite_finite_pname @ ( image_2051418740_pname @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_20_finite__imageI,axiom,
% 0.66/0.82 ! [H_2: pname > hoare_1708887482_state,F_88: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ F_88 )
% 0.66/0.82 => ( finite1625599783_state @ ( image_1116629049_state @ H_2 @ F_88 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_21_empty__subsetI,axiom,
% 0.66/0.82 ! [A_273: pname > $o] : ( ord_less_eq_pname_o @ bot_bot_pname_o @ A_273 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_22_empty__subsetI,axiom,
% 0.66/0.82 ! [A_273: com > $o] : ( ord_less_eq_com_o @ bot_bot_com_o @ A_273 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_23_empty__subsetI,axiom,
% 0.66/0.82 ! [A_273: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ bot_bo19817387tate_o @ A_273 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_24_finite_OinsertI,axiom,
% 0.66/0.82 ! [A_272: com,A_271: com > $o] :
% 0.66/0.82 ( ( finite_finite_com @ A_271 )
% 0.66/0.82 => ( finite_finite_com @ ( insert_com @ A_272 @ A_271 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_25_finite_OinsertI,axiom,
% 0.66/0.82 ! [A_272: pname > $o,A_271: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ A_271 )
% 0.66/0.82 => ( finite297249702name_o @ ( insert_pname_o @ A_272 @ A_271 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_26_finite_OinsertI,axiom,
% 0.66/0.82 ! [A_272: hoare_1708887482_state > $o,A_271: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ A_271 )
% 0.66/0.82 => ( finite1329924456tate_o @ ( insert949073679tate_o @ A_272 @ A_271 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_27_finite_OinsertI,axiom,
% 0.66/0.82 ! [A_272: pname,A_271: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ A_271 )
% 0.66/0.82 => ( finite_finite_pname @ ( insert_pname @ A_272 @ A_271 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_28_finite_OinsertI,axiom,
% 0.66/0.82 ! [A_272: hoare_1708887482_state,A_271: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ A_271 )
% 0.66/0.82 => ( finite1625599783_state @ ( insert528405184_state @ A_272 @ A_271 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_29_finite_OemptyI,axiom,
% 0.66/0.82 finite297249702name_o @ bot_bot_pname_o_o ).
% 0.66/0.82
% 0.66/0.82 thf(fact_30_finite_OemptyI,axiom,
% 0.66/0.82 finite1329924456tate_o @ bot_bo1678742418te_o_o ).
% 0.66/0.82
% 0.66/0.82 thf(fact_31_finite_OemptyI,axiom,
% 0.66/0.82 finite_finite_com @ bot_bot_com_o ).
% 0.66/0.82
% 0.66/0.82 thf(fact_32_finite_OemptyI,axiom,
% 0.66/0.82 finite1625599783_state @ bot_bo19817387tate_o ).
% 0.66/0.82
% 0.66/0.82 thf(fact_33_finite_OemptyI,axiom,
% 0.66/0.82 finite_finite_pname @ bot_bot_pname_o ).
% 0.66/0.82
% 0.66/0.82 thf(fact_34_finite__Collect__conjI,axiom,
% 0.66/0.82 ! [Q_26: ( pname > $o ) > $o,P_45: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( ( finite297249702name_o @ ( collect_pname_o @ P_45 ) )
% 0.66/0.82 | ( finite297249702name_o @ ( collect_pname_o @ Q_26 ) ) )
% 0.66/0.82 => ( finite297249702name_o
% 0.66/0.82 @ ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (&) @ ( P_45 @ X_3 ) @ ( Q_26 @ X_3 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_35_finite__Collect__conjI,axiom,
% 0.66/0.82 ! [Q_26: ( hoare_1708887482_state > $o ) > $o,P_45: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( ( finite1329924456tate_o @ ( collec219771562tate_o @ P_45 ) )
% 0.66/0.82 | ( finite1329924456tate_o @ ( collec219771562tate_o @ Q_26 ) ) )
% 0.66/0.82 => ( finite1329924456tate_o
% 0.66/0.82 @ ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (&) @ ( P_45 @ X_3 ) @ ( Q_26 @ X_3 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_36_finite__Collect__conjI,axiom,
% 0.66/0.82 ! [Q_26: hoare_1708887482_state > $o,P_45: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( finite1625599783_state @ ( collec1568722789_state @ P_45 ) )
% 0.66/0.82 | ( finite1625599783_state @ ( collec1568722789_state @ Q_26 ) ) )
% 0.66/0.82 => ( finite1625599783_state
% 0.66/0.82 @ ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (&) @ ( P_45 @ X_3 ) @ ( Q_26 @ X_3 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_37_finite__Collect__conjI,axiom,
% 0.66/0.82 ! [Q_26: pname > $o,P_45: pname > $o] :
% 0.66/0.82 ( ( ( finite_finite_pname @ ( collect_pname @ P_45 ) )
% 0.66/0.82 | ( finite_finite_pname @ ( collect_pname @ Q_26 ) ) )
% 0.66/0.82 => ( finite_finite_pname
% 0.66/0.82 @ ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (&) @ ( P_45 @ X_3 ) @ ( Q_26 @ X_3 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_38_image__constant__conv,axiom,
% 0.66/0.82 ! [C_68: pname,A_270: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( A_270 = bot_bo19817387tate_o )
% 0.66/0.82 => ( ( image_1509414295_pname
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : C_68
% 0.66/0.82 @ A_270 )
% 0.66/0.82 = bot_bot_pname_o ) )
% 0.66/0.82 & ( ( A_270 != bot_bo19817387tate_o )
% 0.66/0.82 => ( ( image_1509414295_pname
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : C_68
% 0.66/0.82 @ A_270 )
% 0.66/0.82 = ( insert_pname @ C_68 @ bot_bot_pname_o ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_39_image__constant__conv,axiom,
% 0.66/0.82 ! [C_68: com,A_270: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( A_270 = bot_bo19817387tate_o )
% 0.66/0.82 => ( ( image_1604448413te_com
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : C_68
% 0.66/0.82 @ A_270 )
% 0.66/0.82 = bot_bot_com_o ) )
% 0.66/0.82 & ( ( A_270 != bot_bo19817387tate_o )
% 0.66/0.82 => ( ( image_1604448413te_com
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : C_68
% 0.66/0.82 @ A_270 )
% 0.66/0.82 = ( insert_com @ C_68 @ bot_bot_com_o ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_40_image__constant__conv,axiom,
% 0.66/0.82 ! [C_68: hoare_1708887482_state,A_270: com > $o] :
% 0.66/0.82 ( ( ( A_270 = bot_bot_com_o )
% 0.66/0.82 => ( ( image_934102463_state
% 0.66/0.82 @ ^ [X_3: com] : C_68
% 0.66/0.82 @ A_270 )
% 0.66/0.82 = bot_bo19817387tate_o ) )
% 0.66/0.82 & ( ( A_270 != bot_bot_com_o )
% 0.66/0.82 => ( ( image_934102463_state
% 0.66/0.82 @ ^ [X_3: com] : C_68
% 0.66/0.82 @ A_270 )
% 0.66/0.82 = ( insert528405184_state @ C_68 @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_41_image__constant__conv,axiom,
% 0.66/0.82 ! [C_68: hoare_1708887482_state,A_270: pname > $o] :
% 0.66/0.82 ( ( ( A_270 = bot_bot_pname_o )
% 0.66/0.82 => ( ( image_1116629049_state
% 0.66/0.82 @ ^ [X_3: pname] : C_68
% 0.66/0.82 @ A_270 )
% 0.66/0.82 = bot_bo19817387tate_o ) )
% 0.66/0.82 & ( ( A_270 != bot_bot_pname_o )
% 0.66/0.82 => ( ( image_1116629049_state
% 0.66/0.82 @ ^ [X_3: pname] : C_68
% 0.66/0.82 @ A_270 )
% 0.66/0.82 = ( insert528405184_state @ C_68 @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_42_image__constant,axiom,
% 0.66/0.82 ! [C_67: pname,X_119: hoare_1708887482_state,A_269: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ X_119 @ A_269 )
% 0.66/0.82 => ( ( image_1509414295_pname
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : C_67
% 0.66/0.82 @ A_269 )
% 0.66/0.82 = ( insert_pname @ C_67 @ bot_bot_pname_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_43_image__constant,axiom,
% 0.66/0.82 ! [C_67: com,X_119: hoare_1708887482_state,A_269: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ X_119 @ A_269 )
% 0.66/0.82 => ( ( image_1604448413te_com
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : C_67
% 0.66/0.82 @ A_269 )
% 0.66/0.82 = ( insert_com @ C_67 @ bot_bot_com_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_44_image__constant,axiom,
% 0.66/0.82 ! [C_67: pname,X_119: pname,A_269: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_119 @ A_269 )
% 0.66/0.82 => ( ( image_pname_pname
% 0.66/0.82 @ ^ [X_3: pname] : C_67
% 0.66/0.82 @ A_269 )
% 0.66/0.82 = ( insert_pname @ C_67 @ bot_bot_pname_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_45_image__constant,axiom,
% 0.66/0.82 ! [C_67: com,X_119: pname,A_269: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_119 @ A_269 )
% 0.66/0.82 => ( ( image_pname_com
% 0.66/0.82 @ ^ [X_3: pname] : C_67
% 0.66/0.82 @ A_269 )
% 0.66/0.82 = ( insert_com @ C_67 @ bot_bot_com_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_46_image__constant,axiom,
% 0.66/0.82 ! [C_67: hoare_1708887482_state,X_119: com,A_269: com > $o] :
% 0.66/0.82 ( ( member_com @ X_119 @ A_269 )
% 0.66/0.82 => ( ( image_934102463_state
% 0.66/0.82 @ ^ [X_3: com] : C_67
% 0.66/0.82 @ A_269 )
% 0.66/0.82 = ( insert528405184_state @ C_67 @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_47_image__constant,axiom,
% 0.66/0.82 ! [C_67: hoare_1708887482_state,X_119: pname,A_269: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_119 @ A_269 )
% 0.66/0.82 => ( ( image_1116629049_state
% 0.66/0.82 @ ^ [X_3: pname] : C_67
% 0.66/0.82 @ A_269 )
% 0.66/0.82 = ( insert528405184_state @ C_67 @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_48_insert__dom,axiom,
% 0.66/0.82 ! [F_87: com > option_com,X_118: com,Y_53: com] :
% 0.66/0.82 ( ( ( F_87 @ X_118 )
% 0.66/0.82 = ( some_com @ Y_53 ) )
% 0.66/0.82 => ( ( insert_com @ X_118 @ ( dom_com_com @ F_87 ) )
% 0.66/0.82 = ( dom_com_com @ F_87 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_49_insert__dom,axiom,
% 0.66/0.82 ! [F_87: hoare_1708887482_state > option_pname,X_118: hoare_1708887482_state,Y_53: pname] :
% 0.66/0.82 ( ( ( F_87 @ X_118 )
% 0.66/0.82 = ( some_pname @ Y_53 ) )
% 0.66/0.82 => ( ( insert528405184_state @ X_118 @ ( dom_Ho1805192458_pname @ F_87 ) )
% 0.66/0.82 = ( dom_Ho1805192458_pname @ F_87 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_50_insert__dom,axiom,
% 0.66/0.82 ! [F_87: hoare_1708887482_state > option1624383643_state,X_118: hoare_1708887482_state,Y_53: hoare_1708887482_state] :
% 0.66/0.82 ( ( ( F_87 @ X_118 )
% 0.66/0.82 = ( some_H1974565227_state @ Y_53 ) )
% 0.66/0.82 => ( ( insert528405184_state @ X_118 @ ( dom_Ho1703271284_state @ F_87 ) )
% 0.66/0.82 = ( dom_Ho1703271284_state @ F_87 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_51_insert__dom,axiom,
% 0.66/0.82 ! [F_87: pname > option_com,X_118: pname,Y_53: com] :
% 0.66/0.82 ( ( ( F_87 @ X_118 )
% 0.66/0.82 = ( some_com @ Y_53 ) )
% 0.66/0.82 => ( ( insert_pname @ X_118 @ ( dom_pname_com @ F_87 ) )
% 0.66/0.82 = ( dom_pname_com @ F_87 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_52_finite__surj,axiom,
% 0.66/0.82 ! [B_171: ( pname > $o ) > $o,F_86: hoare_1708887482_state > pname > $o,A_268: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ A_268 )
% 0.66/0.82 => ( ( ord_le1205211808me_o_o @ B_171 @ ( image_1552895654name_o @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite297249702name_o @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_53_finite__surj,axiom,
% 0.66/0.82 ! [B_171: ( hoare_1708887482_state > $o ) > $o,F_86: hoare_1708887482_state > hoare_1708887482_state > $o,A_268: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ A_268 )
% 0.66/0.82 => ( ( ord_le1728773982te_o_o @ B_171 @ ( image_1551509096tate_o @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite1329924456tate_o @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_54_finite__surj,axiom,
% 0.66/0.82 ! [B_171: pname > $o,F_86: hoare_1708887482_state > pname,A_268: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ A_268 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_171 @ ( image_1509414295_pname @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite_finite_pname @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_55_finite__surj,axiom,
% 0.66/0.82 ! [B_171: ( pname > $o ) > $o,F_86: pname > pname > $o,A_268: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ A_268 )
% 0.66/0.82 => ( ( ord_le1205211808me_o_o @ B_171 @ ( image_pname_pname_o @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite297249702name_o @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_56_finite__surj,axiom,
% 0.66/0.82 ! [B_171: ( hoare_1708887482_state > $o ) > $o,F_86: pname > hoare_1708887482_state > $o,A_268: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ A_268 )
% 0.66/0.82 => ( ( ord_le1728773982te_o_o @ B_171 @ ( image_425134806tate_o @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite1329924456tate_o @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_57_finite__surj,axiom,
% 0.66/0.82 ! [B_171: pname > $o,F_86: pname > pname,A_268: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ A_268 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_171 @ ( image_pname_pname @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite_finite_pname @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_58_finite__surj,axiom,
% 0.66/0.82 ! [B_171: hoare_1708887482_state > $o,F_86: ( pname > $o ) > hoare_1708887482_state,A_268: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ A_268 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_171 @ ( image_1922967206_state @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite1625599783_state @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_59_finite__surj,axiom,
% 0.66/0.82 ! [B_171: hoare_1708887482_state > $o,F_86: ( hoare_1708887482_state > $o ) > hoare_1708887482_state,A_268: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ A_268 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_171 @ ( image_27005066_state @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite1625599783_state @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_60_finite__surj,axiom,
% 0.66/0.82 ! [B_171: pname > $o,F_86: ( pname > $o ) > pname,A_268: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ A_268 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_171 @ ( image_pname_o_pname @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite_finite_pname @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_61_finite__surj,axiom,
% 0.66/0.82 ! [B_171: pname > $o,F_86: ( hoare_1708887482_state > $o ) > pname,A_268: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ A_268 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_171 @ ( image_2051418740_pname @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite_finite_pname @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_62_finite__surj,axiom,
% 0.66/0.82 ! [B_171: hoare_1708887482_state > $o,F_86: pname > hoare_1708887482_state,A_268: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ A_268 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_171 @ ( image_1116629049_state @ F_86 @ A_268 ) )
% 0.66/0.82 => ( finite1625599783_state @ B_171 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_63_subset__singletonD,axiom,
% 0.66/0.82 ! [A_267: pname > $o,X_117: pname] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_267 @ ( insert_pname @ X_117 @ bot_bot_pname_o ) )
% 0.66/0.82 => ( ( A_267 = bot_bot_pname_o )
% 0.66/0.82 | ( A_267
% 0.66/0.82 = ( insert_pname @ X_117 @ bot_bot_pname_o ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_64_subset__singletonD,axiom,
% 0.66/0.82 ! [A_267: com > $o,X_117: com] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ A_267 @ ( insert_com @ X_117 @ bot_bot_com_o ) )
% 0.66/0.82 => ( ( A_267 = bot_bot_com_o )
% 0.66/0.82 | ( A_267
% 0.66/0.82 = ( insert_com @ X_117 @ bot_bot_com_o ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_65_subset__singletonD,axiom,
% 0.66/0.82 ! [A_267: hoare_1708887482_state > $o,X_117: hoare_1708887482_state] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_267 @ ( insert528405184_state @ X_117 @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( ( A_267 = bot_bo19817387tate_o )
% 0.66/0.82 | ( A_267
% 0.66/0.82 = ( insert528405184_state @ X_117 @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_66_MGF,axiom,
% 0.66/0.82 ! [C_34: com] :
% 0.66/0.82 ( hoare_1160767572gleton
% 0.66/0.82 => ( wT_bodies
% 0.66/0.82 => ( ( wt @ C_34 )
% 0.66/0.82 => ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ C_34 ) @ bot_bo19817387tate_o ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_67_emptyE,axiom,
% 0.66/0.82 ! [A_266: com] :
% 0.66/0.82 ~ ( member_com @ A_266 @ bot_bot_com_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_68_emptyE,axiom,
% 0.66/0.82 ! [A_266: hoare_1708887482_state] :
% 0.66/0.82 ~ ( member451959335_state @ A_266 @ bot_bo19817387tate_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_69_emptyE,axiom,
% 0.66/0.82 ! [A_266: pname] :
% 0.66/0.82 ~ ( member_pname @ A_266 @ bot_bot_pname_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_70_insertCI,axiom,
% 0.66/0.82 ! [B_170: com,A_265: com,B_169: com > $o] :
% 0.66/0.82 ( ( ~ ( member_com @ A_265 @ B_169 )
% 0.66/0.82 => ( A_265 = B_170 ) )
% 0.66/0.82 => ( member_com @ A_265 @ ( insert_com @ B_170 @ B_169 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_71_insertCI,axiom,
% 0.66/0.82 ! [B_170: pname,A_265: pname,B_169: pname > $o] :
% 0.66/0.82 ( ( ~ ( member_pname @ A_265 @ B_169 )
% 0.66/0.82 => ( A_265 = B_170 ) )
% 0.66/0.82 => ( member_pname @ A_265 @ ( insert_pname @ B_170 @ B_169 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_72_insertCI,axiom,
% 0.66/0.82 ! [B_170: hoare_1708887482_state,A_265: hoare_1708887482_state,B_169: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ~ ( member451959335_state @ A_265 @ B_169 )
% 0.66/0.82 => ( A_265 = B_170 ) )
% 0.66/0.82 => ( member451959335_state @ A_265 @ ( insert528405184_state @ B_170 @ B_169 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_73_insertE,axiom,
% 0.66/0.82 ! [A_264: com,B_168: com,A_263: com > $o] :
% 0.66/0.82 ( ( member_com @ A_264 @ ( insert_com @ B_168 @ A_263 ) )
% 0.66/0.82 => ( ( A_264 != B_168 )
% 0.66/0.82 => ( member_com @ A_264 @ A_263 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_74_insertE,axiom,
% 0.66/0.82 ! [A_264: pname,B_168: pname,A_263: pname > $o] :
% 0.66/0.82 ( ( member_pname @ A_264 @ ( insert_pname @ B_168 @ A_263 ) )
% 0.66/0.82 => ( ( A_264 != B_168 )
% 0.66/0.82 => ( member_pname @ A_264 @ A_263 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_75_insertE,axiom,
% 0.66/0.82 ! [A_264: hoare_1708887482_state,B_168: hoare_1708887482_state,A_263: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ A_264 @ ( insert528405184_state @ B_168 @ A_263 ) )
% 0.66/0.82 => ( ( A_264 != B_168 )
% 0.66/0.82 => ( member451959335_state @ A_264 @ A_263 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_76_equalityI,axiom,
% 0.66/0.82 ! [A_262: pname > $o,B_167: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_262 @ B_167 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_167 @ A_262 )
% 0.66/0.82 => ( A_262 = B_167 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_77_equalityI,axiom,
% 0.66/0.82 ! [A_262: hoare_1708887482_state > $o,B_167: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_262 @ B_167 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_167 @ A_262 )
% 0.66/0.82 => ( A_262 = B_167 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_78_subsetD,axiom,
% 0.66/0.82 ! [C_66: com,A_261: com > $o,B_166: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ A_261 @ B_166 )
% 0.66/0.82 => ( ( member_com @ C_66 @ A_261 )
% 0.66/0.82 => ( member_com @ C_66 @ B_166 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_79_subsetD,axiom,
% 0.66/0.82 ! [C_66: hoare_1708887482_state,A_261: hoare_1708887482_state > $o,B_166: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_261 @ B_166 )
% 0.66/0.82 => ( ( member451959335_state @ C_66 @ A_261 )
% 0.66/0.82 => ( member451959335_state @ C_66 @ B_166 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_80_subsetD,axiom,
% 0.66/0.82 ! [C_66: pname,A_261: pname > $o,B_166: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_261 @ B_166 )
% 0.66/0.82 => ( ( member_pname @ C_66 @ A_261 )
% 0.66/0.82 => ( member_pname @ C_66 @ B_166 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_81_image__eqI,axiom,
% 0.66/0.82 ! [A_260: hoare_1708887482_state > $o,B_165: com,F_85: hoare_1708887482_state > com,X_116: hoare_1708887482_state] :
% 0.66/0.82 ( ( B_165
% 0.66/0.82 = ( F_85 @ X_116 ) )
% 0.66/0.82 => ( ( member451959335_state @ X_116 @ A_260 )
% 0.66/0.82 => ( member_com @ B_165 @ ( image_1604448413te_com @ F_85 @ A_260 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_82_image__eqI,axiom,
% 0.66/0.82 ! [A_260: pname > $o,B_165: com,F_85: pname > com,X_116: pname] :
% 0.66/0.82 ( ( B_165
% 0.66/0.82 = ( F_85 @ X_116 ) )
% 0.66/0.82 => ( ( member_pname @ X_116 @ A_260 )
% 0.66/0.82 => ( member_com @ B_165 @ ( image_pname_com @ F_85 @ A_260 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_83_image__eqI,axiom,
% 0.66/0.82 ! [A_260: com > $o,B_165: hoare_1708887482_state,F_85: com > hoare_1708887482_state,X_116: com] :
% 0.66/0.82 ( ( B_165
% 0.66/0.82 = ( F_85 @ X_116 ) )
% 0.66/0.82 => ( ( member_com @ X_116 @ A_260 )
% 0.66/0.82 => ( member451959335_state @ B_165 @ ( image_934102463_state @ F_85 @ A_260 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_84_image__eqI,axiom,
% 0.66/0.82 ! [A_260: com > $o,B_165: pname,F_85: com > pname,X_116: com] :
% 0.66/0.82 ( ( B_165
% 0.66/0.82 = ( F_85 @ X_116 ) )
% 0.66/0.82 => ( ( member_com @ X_116 @ A_260 )
% 0.66/0.82 => ( member_pname @ B_165 @ ( image_com_pname @ F_85 @ A_260 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_85_image__eqI,axiom,
% 0.66/0.82 ! [A_260: pname > $o,B_165: hoare_1708887482_state,F_85: pname > hoare_1708887482_state,X_116: pname] :
% 0.66/0.82 ( ( B_165
% 0.66/0.82 = ( F_85 @ X_116 ) )
% 0.66/0.82 => ( ( member_pname @ X_116 @ A_260 )
% 0.66/0.82 => ( member451959335_state @ B_165 @ ( image_1116629049_state @ F_85 @ A_260 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_86_equals0D,axiom,
% 0.66/0.82 ! [A_259: com,A_258: com > $o] :
% 0.66/0.82 ( ( A_258 = bot_bot_com_o )
% 0.66/0.82 => ~ ( member_com @ A_259 @ A_258 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_87_equals0D,axiom,
% 0.66/0.82 ! [A_259: hoare_1708887482_state,A_258: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_258 = bot_bo19817387tate_o )
% 0.66/0.82 => ~ ( member451959335_state @ A_259 @ A_258 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_88_equals0D,axiom,
% 0.66/0.82 ! [A_259: pname,A_258: pname > $o] :
% 0.66/0.82 ( ( A_258 = bot_bot_pname_o )
% 0.66/0.82 => ~ ( member_pname @ A_259 @ A_258 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_89_Collect__empty__eq,axiom,
% 0.66/0.82 ! [P_44: pname > $o] :
% 0.66/0.82 ( ( ( collect_pname @ P_44 )
% 0.66/0.82 = bot_bot_pname_o )
% 0.66/0.82 <=> ! [X_3: pname] :
% 0.66/0.82 ~ ( P_44 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_90_Collect__empty__eq,axiom,
% 0.66/0.82 ! [P_44: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( ( collect_pname_o @ P_44 )
% 0.66/0.82 = bot_bot_pname_o_o )
% 0.66/0.82 <=> ! [X_3: pname > $o] :
% 0.66/0.82 ~ ( P_44 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_91_Collect__empty__eq,axiom,
% 0.66/0.82 ! [P_44: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( ( collec219771562tate_o @ P_44 )
% 0.66/0.82 = bot_bo1678742418te_o_o )
% 0.66/0.82 <=> ! [X_3: hoare_1708887482_state > $o] :
% 0.66/0.82 ~ ( P_44 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_92_Collect__empty__eq,axiom,
% 0.66/0.82 ! [P_44: com > $o] :
% 0.66/0.82 ( ( ( collect_com @ P_44 )
% 0.66/0.82 = bot_bot_com_o )
% 0.66/0.82 <=> ! [X_3: com] :
% 0.66/0.82 ~ ( P_44 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_93_Collect__empty__eq,axiom,
% 0.66/0.82 ! [P_44: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( collec1568722789_state @ P_44 )
% 0.66/0.82 = bot_bo19817387tate_o )
% 0.66/0.82 <=> ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ~ ( P_44 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_94_empty__iff,axiom,
% 0.66/0.82 ! [C_65: com] :
% 0.66/0.82 ~ ( member_com @ C_65 @ bot_bot_com_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_95_empty__iff,axiom,
% 0.66/0.82 ! [C_65: hoare_1708887482_state] :
% 0.66/0.82 ~ ( member451959335_state @ C_65 @ bot_bo19817387tate_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_96_empty__iff,axiom,
% 0.66/0.82 ! [C_65: pname] :
% 0.66/0.82 ~ ( member_pname @ C_65 @ bot_bot_pname_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_97_empty__Collect__eq,axiom,
% 0.66/0.82 ! [P_43: pname > $o] :
% 0.66/0.82 ( ( bot_bot_pname_o
% 0.66/0.82 = ( collect_pname @ P_43 ) )
% 0.66/0.82 <=> ! [X_3: pname] :
% 0.66/0.82 ~ ( P_43 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_98_empty__Collect__eq,axiom,
% 0.66/0.82 ! [P_43: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( bot_bot_pname_o_o
% 0.66/0.82 = ( collect_pname_o @ P_43 ) )
% 0.66/0.82 <=> ! [X_3: pname > $o] :
% 0.66/0.82 ~ ( P_43 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_99_empty__Collect__eq,axiom,
% 0.66/0.82 ! [P_43: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( bot_bo1678742418te_o_o
% 0.66/0.82 = ( collec219771562tate_o @ P_43 ) )
% 0.66/0.82 <=> ! [X_3: hoare_1708887482_state > $o] :
% 0.66/0.82 ~ ( P_43 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_100_empty__Collect__eq,axiom,
% 0.66/0.82 ! [P_43: com > $o] :
% 0.66/0.82 ( ( bot_bot_com_o
% 0.66/0.82 = ( collect_com @ P_43 ) )
% 0.66/0.82 <=> ! [X_3: com] :
% 0.66/0.82 ~ ( P_43 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_101_empty__Collect__eq,axiom,
% 0.66/0.82 ! [P_43: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( bot_bo19817387tate_o
% 0.66/0.82 = ( collec1568722789_state @ P_43 ) )
% 0.66/0.82 <=> ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ~ ( P_43 @ X_3 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_102_ex__in__conv,axiom,
% 0.66/0.82 ! [A_257: com > $o] :
% 0.66/0.82 ( ? [X_3: com] : ( member_com @ X_3 @ A_257 )
% 0.66/0.82 <=> ( A_257 != bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_103_ex__in__conv,axiom,
% 0.66/0.82 ! [A_257: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ? [X_3: hoare_1708887482_state] : ( member451959335_state @ X_3 @ A_257 )
% 0.66/0.82 <=> ( A_257 != bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_104_ex__in__conv,axiom,
% 0.66/0.82 ! [A_257: pname > $o] :
% 0.66/0.82 ( ? [X_3: pname] : ( member_pname @ X_3 @ A_257 )
% 0.66/0.82 <=> ( A_257 != bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_105_all__not__in__conv,axiom,
% 0.66/0.82 ! [A_256: com > $o] :
% 0.66/0.82 ( ! [X_3: com] :
% 0.66/0.82 ~ ( member_com @ X_3 @ A_256 )
% 0.66/0.82 <=> ( A_256 = bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_106_all__not__in__conv,axiom,
% 0.66/0.82 ! [A_256: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ~ ( member451959335_state @ X_3 @ A_256 )
% 0.66/0.82 <=> ( A_256 = bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_107_all__not__in__conv,axiom,
% 0.66/0.82 ! [A_256: pname > $o] :
% 0.66/0.82 ( ! [X_3: pname] :
% 0.66/0.82 ~ ( member_pname @ X_3 @ A_256 )
% 0.66/0.82 <=> ( A_256 = bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_108_empty__def,axiom,
% 0.66/0.82 ( bot_bot_pname_o
% 0.66/0.82 = ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : $false ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_109_empty__def,axiom,
% 0.66/0.82 ( bot_bot_pname_o_o
% 0.66/0.82 = ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : $false ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_110_empty__def,axiom,
% 0.66/0.82 ( bot_bo1678742418te_o_o
% 0.66/0.82 = ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : $false ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_111_empty__def,axiom,
% 0.66/0.82 ( bot_bot_com_o
% 0.66/0.82 = ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : $false ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_112_empty__def,axiom,
% 0.66/0.82 ( bot_bo19817387tate_o
% 0.66/0.82 = ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : $false ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_113_insert__absorb,axiom,
% 0.66/0.82 ! [A_255: com,A_254: com > $o] :
% 0.66/0.82 ( ( member_com @ A_255 @ A_254 )
% 0.66/0.82 => ( ( insert_com @ A_255 @ A_254 )
% 0.66/0.82 = A_254 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_114_insert__absorb,axiom,
% 0.66/0.82 ! [A_255: pname,A_254: pname > $o] :
% 0.66/0.82 ( ( member_pname @ A_255 @ A_254 )
% 0.66/0.82 => ( ( insert_pname @ A_255 @ A_254 )
% 0.66/0.82 = A_254 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_115_insert__absorb,axiom,
% 0.66/0.82 ! [A_255: hoare_1708887482_state,A_254: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ A_255 @ A_254 )
% 0.66/0.82 => ( ( insert528405184_state @ A_255 @ A_254 )
% 0.66/0.82 = A_254 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_116_insertI2,axiom,
% 0.66/0.82 ! [B_164: com,A_253: com,B_163: com > $o] :
% 0.66/0.82 ( ( member_com @ A_253 @ B_163 )
% 0.66/0.82 => ( member_com @ A_253 @ ( insert_com @ B_164 @ B_163 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_117_insertI2,axiom,
% 0.66/0.82 ! [B_164: pname,A_253: pname,B_163: pname > $o] :
% 0.66/0.82 ( ( member_pname @ A_253 @ B_163 )
% 0.66/0.82 => ( member_pname @ A_253 @ ( insert_pname @ B_164 @ B_163 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_118_insertI2,axiom,
% 0.66/0.82 ! [B_164: hoare_1708887482_state,A_253: hoare_1708887482_state,B_163: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ A_253 @ B_163 )
% 0.66/0.82 => ( member451959335_state @ A_253 @ ( insert528405184_state @ B_164 @ B_163 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_119_insert__ident,axiom,
% 0.66/0.82 ! [B_162: com > $o,X_115: com,A_252: com > $o] :
% 0.66/0.82 ( ~ ( member_com @ X_115 @ A_252 )
% 0.66/0.82 => ( ~ ( member_com @ X_115 @ B_162 )
% 0.66/0.82 => ( ( ( insert_com @ X_115 @ A_252 )
% 0.66/0.82 = ( insert_com @ X_115 @ B_162 ) )
% 0.66/0.82 <=> ( A_252 = B_162 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_120_insert__ident,axiom,
% 0.66/0.82 ! [B_162: pname > $o,X_115: pname,A_252: pname > $o] :
% 0.66/0.82 ( ~ ( member_pname @ X_115 @ A_252 )
% 0.66/0.82 => ( ~ ( member_pname @ X_115 @ B_162 )
% 0.66/0.82 => ( ( ( insert_pname @ X_115 @ A_252 )
% 0.66/0.82 = ( insert_pname @ X_115 @ B_162 ) )
% 0.66/0.82 <=> ( A_252 = B_162 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_121_insert__ident,axiom,
% 0.66/0.82 ! [B_162: hoare_1708887482_state > $o,X_115: hoare_1708887482_state,A_252: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ~ ( member451959335_state @ X_115 @ A_252 )
% 0.66/0.82 => ( ~ ( member451959335_state @ X_115 @ B_162 )
% 0.66/0.82 => ( ( ( insert528405184_state @ X_115 @ A_252 )
% 0.66/0.82 = ( insert528405184_state @ X_115 @ B_162 ) )
% 0.66/0.82 <=> ( A_252 = B_162 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_122_insert__code,axiom,
% 0.66/0.82 ! [Y_52: pname,A_251: pname > $o,X_114: pname] :
% 0.66/0.82 ( ( insert_pname @ Y_52 @ A_251 @ X_114 )
% 0.66/0.82 <=> ( ( Y_52 = X_114 )
% 0.66/0.82 | ( A_251 @ X_114 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_123_insert__code,axiom,
% 0.66/0.82 ! [Y_52: com,A_251: com > $o,X_114: com] :
% 0.66/0.82 ( ( insert_com @ Y_52 @ A_251 @ X_114 )
% 0.66/0.82 <=> ( ( Y_52 = X_114 )
% 0.66/0.82 | ( A_251 @ X_114 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_124_insert__code,axiom,
% 0.66/0.82 ! [Y_52: hoare_1708887482_state,A_251: hoare_1708887482_state > $o,X_114: hoare_1708887482_state] :
% 0.66/0.82 ( ( insert528405184_state @ Y_52 @ A_251 @ X_114 )
% 0.66/0.82 <=> ( ( Y_52 = X_114 )
% 0.66/0.82 | ( A_251 @ X_114 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_125_insert__iff,axiom,
% 0.66/0.82 ! [A_250: com,B_161: com,A_249: com > $o] :
% 0.66/0.82 ( ( member_com @ A_250 @ ( insert_com @ B_161 @ A_249 ) )
% 0.66/0.82 <=> ( ( A_250 = B_161 )
% 0.66/0.82 | ( member_com @ A_250 @ A_249 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_126_insert__iff,axiom,
% 0.66/0.82 ! [A_250: pname,B_161: pname,A_249: pname > $o] :
% 0.66/0.82 ( ( member_pname @ A_250 @ ( insert_pname @ B_161 @ A_249 ) )
% 0.66/0.82 <=> ( ( A_250 = B_161 )
% 0.66/0.82 | ( member_pname @ A_250 @ A_249 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_127_insert__iff,axiom,
% 0.66/0.82 ! [A_250: hoare_1708887482_state,B_161: hoare_1708887482_state,A_249: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ A_250 @ ( insert528405184_state @ B_161 @ A_249 ) )
% 0.66/0.82 <=> ( ( A_250 = B_161 )
% 0.66/0.82 | ( member451959335_state @ A_250 @ A_249 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_128_insert__commute,axiom,
% 0.66/0.82 ! [X_113: pname,Y_51: pname,A_248: pname > $o] :
% 0.66/0.82 ( ( insert_pname @ X_113 @ ( insert_pname @ Y_51 @ A_248 ) )
% 0.66/0.82 = ( insert_pname @ Y_51 @ ( insert_pname @ X_113 @ A_248 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_129_insert__commute,axiom,
% 0.66/0.82 ! [X_113: com,Y_51: com,A_248: com > $o] :
% 0.66/0.82 ( ( insert_com @ X_113 @ ( insert_com @ Y_51 @ A_248 ) )
% 0.66/0.82 = ( insert_com @ Y_51 @ ( insert_com @ X_113 @ A_248 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_130_insert__commute,axiom,
% 0.66/0.82 ! [X_113: hoare_1708887482_state,Y_51: hoare_1708887482_state,A_248: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( insert528405184_state @ X_113 @ ( insert528405184_state @ Y_51 @ A_248 ) )
% 0.66/0.82 = ( insert528405184_state @ Y_51 @ ( insert528405184_state @ X_113 @ A_248 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_131_insert__absorb2,axiom,
% 0.66/0.82 ! [X_112: pname,A_247: pname > $o] :
% 0.66/0.82 ( ( insert_pname @ X_112 @ ( insert_pname @ X_112 @ A_247 ) )
% 0.66/0.82 = ( insert_pname @ X_112 @ A_247 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_132_insert__absorb2,axiom,
% 0.66/0.82 ! [X_112: com,A_247: com > $o] :
% 0.66/0.82 ( ( insert_com @ X_112 @ ( insert_com @ X_112 @ A_247 ) )
% 0.66/0.82 = ( insert_com @ X_112 @ A_247 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_133_insert__absorb2,axiom,
% 0.66/0.82 ! [X_112: hoare_1708887482_state,A_247: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( insert528405184_state @ X_112 @ ( insert528405184_state @ X_112 @ A_247 ) )
% 0.66/0.82 = ( insert528405184_state @ X_112 @ A_247 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_134_insert__Collect,axiom,
% 0.66/0.82 ! [A_246: pname,P_42: pname > $o] :
% 0.66/0.82 ( ( insert_pname @ A_246 @ ( collect_pname @ P_42 ) )
% 0.66/0.82 = ( collect_pname
% 0.66/0.82 @ ^ [U_2: pname] : ( (=>) @ ( (~) @ ( U_2 = A_246 ) ) @ ( P_42 @ U_2 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_135_insert__Collect,axiom,
% 0.66/0.82 ! [A_246: com,P_42: com > $o] :
% 0.66/0.82 ( ( insert_com @ A_246 @ ( collect_com @ P_42 ) )
% 0.66/0.82 = ( collect_com
% 0.66/0.82 @ ^ [U_2: com] : ( (=>) @ ( (~) @ ( U_2 = A_246 ) ) @ ( P_42 @ U_2 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_136_insert__Collect,axiom,
% 0.66/0.82 ! [A_246: pname > $o,P_42: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( insert_pname_o @ A_246 @ ( collect_pname_o @ P_42 ) )
% 0.66/0.82 = ( collect_pname_o
% 0.66/0.82 @ ^ [U_2: pname > $o] : ( (=>) @ ( (~) @ ( U_2 = A_246 ) ) @ ( P_42 @ U_2 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_137_insert__Collect,axiom,
% 0.66/0.82 ! [A_246: hoare_1708887482_state > $o,P_42: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( insert949073679tate_o @ A_246 @ ( collec219771562tate_o @ P_42 ) )
% 0.66/0.82 = ( collec219771562tate_o
% 0.66/0.82 @ ^ [U_2: hoare_1708887482_state > $o] : ( (=>) @ ( (~) @ ( U_2 = A_246 ) ) @ ( P_42 @ U_2 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_138_insert__Collect,axiom,
% 0.66/0.82 ! [A_246: hoare_1708887482_state,P_42: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( insert528405184_state @ A_246 @ ( collec1568722789_state @ P_42 ) )
% 0.66/0.82 = ( collec1568722789_state
% 0.66/0.82 @ ^ [U_2: hoare_1708887482_state] : ( (=>) @ ( (~) @ ( U_2 = A_246 ) ) @ ( P_42 @ U_2 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_139_insert__compr,axiom,
% 0.66/0.82 ! [A_245: com,B_160: com > $o] :
% 0.66/0.82 ( ( insert_com @ A_245 @ B_160 )
% 0.66/0.82 = ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : ( (|) @ ( X_3 = A_245 ) @ ( member_com @ X_3 @ B_160 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_140_insert__compr,axiom,
% 0.66/0.82 ! [A_245: pname > $o,B_160: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( insert_pname_o @ A_245 @ B_160 )
% 0.66/0.82 = ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (|) @ ( X_3 = A_245 ) @ ( member_pname_o @ X_3 @ B_160 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_141_insert__compr,axiom,
% 0.66/0.82 ! [A_245: hoare_1708887482_state > $o,B_160: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( insert949073679tate_o @ A_245 @ B_160 )
% 0.66/0.82 = ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (|) @ ( X_3 = A_245 ) @ ( member814030440tate_o @ X_3 @ B_160 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_142_insert__compr,axiom,
% 0.66/0.82 ! [A_245: pname,B_160: pname > $o] :
% 0.66/0.82 ( ( insert_pname @ A_245 @ B_160 )
% 0.66/0.82 = ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (|) @ ( X_3 = A_245 ) @ ( member_pname @ X_3 @ B_160 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_143_insert__compr,axiom,
% 0.66/0.82 ! [A_245: hoare_1708887482_state,B_160: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( insert528405184_state @ A_245 @ B_160 )
% 0.66/0.82 = ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (|) @ ( X_3 = A_245 ) @ ( member451959335_state @ X_3 @ B_160 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_144_insertI1,axiom,
% 0.66/0.82 ! [A_244: com,B_159: com > $o] : ( member_com @ A_244 @ ( insert_com @ A_244 @ B_159 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_145_insertI1,axiom,
% 0.66/0.82 ! [A_244: pname,B_159: pname > $o] : ( member_pname @ A_244 @ ( insert_pname @ A_244 @ B_159 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_146_insertI1,axiom,
% 0.66/0.82 ! [A_244: hoare_1708887482_state,B_159: hoare_1708887482_state > $o] : ( member451959335_state @ A_244 @ ( insert528405184_state @ A_244 @ B_159 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_147_equalityE,axiom,
% 0.66/0.82 ! [A_243: pname > $o,B_158: pname > $o] :
% 0.66/0.82 ( ( A_243 = B_158 )
% 0.66/0.82 => ~ ( ( ord_less_eq_pname_o @ A_243 @ B_158 )
% 0.66/0.82 => ~ ( ord_less_eq_pname_o @ B_158 @ A_243 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_148_equalityE,axiom,
% 0.66/0.82 ! [A_243: hoare_1708887482_state > $o,B_158: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_243 = B_158 )
% 0.66/0.82 => ~ ( ( ord_le777019615tate_o @ A_243 @ B_158 )
% 0.66/0.82 => ~ ( ord_le777019615tate_o @ B_158 @ A_243 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_149_subset__trans,axiom,
% 0.66/0.82 ! [C_64: pname > $o,A_242: pname > $o,B_157: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_242 @ B_157 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_157 @ C_64 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ A_242 @ C_64 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_150_subset__trans,axiom,
% 0.66/0.82 ! [C_64: hoare_1708887482_state > $o,A_242: hoare_1708887482_state > $o,B_157: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_242 @ B_157 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_157 @ C_64 )
% 0.66/0.82 => ( ord_le777019615tate_o @ A_242 @ C_64 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_151_set__mp,axiom,
% 0.66/0.82 ! [X_111: com,A_241: com > $o,B_156: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ A_241 @ B_156 )
% 0.66/0.82 => ( ( member_com @ X_111 @ A_241 )
% 0.66/0.82 => ( member_com @ X_111 @ B_156 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_152_set__mp,axiom,
% 0.66/0.82 ! [X_111: hoare_1708887482_state,A_241: hoare_1708887482_state > $o,B_156: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_241 @ B_156 )
% 0.66/0.82 => ( ( member451959335_state @ X_111 @ A_241 )
% 0.66/0.82 => ( member451959335_state @ X_111 @ B_156 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_153_set__mp,axiom,
% 0.66/0.82 ! [X_111: pname,A_241: pname > $o,B_156: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_241 @ B_156 )
% 0.66/0.82 => ( ( member_pname @ X_111 @ A_241 )
% 0.66/0.82 => ( member_pname @ X_111 @ B_156 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_154_set__rev__mp,axiom,
% 0.66/0.82 ! [B_155: com > $o,X_110: com,A_240: com > $o] :
% 0.66/0.82 ( ( member_com @ X_110 @ A_240 )
% 0.66/0.82 => ( ( ord_less_eq_com_o @ A_240 @ B_155 )
% 0.66/0.82 => ( member_com @ X_110 @ B_155 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_155_set__rev__mp,axiom,
% 0.66/0.82 ! [B_155: hoare_1708887482_state > $o,X_110: hoare_1708887482_state,A_240: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ X_110 @ A_240 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ A_240 @ B_155 )
% 0.66/0.82 => ( member451959335_state @ X_110 @ B_155 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_156_set__rev__mp,axiom,
% 0.66/0.82 ! [B_155: pname > $o,X_110: pname,A_240: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_110 @ A_240 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ A_240 @ B_155 )
% 0.66/0.82 => ( member_pname @ X_110 @ B_155 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_157_in__mono,axiom,
% 0.66/0.82 ! [X_109: com,A_239: com > $o,B_154: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ A_239 @ B_154 )
% 0.66/0.82 => ( ( member_com @ X_109 @ A_239 )
% 0.66/0.82 => ( member_com @ X_109 @ B_154 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_158_in__mono,axiom,
% 0.66/0.82 ! [X_109: hoare_1708887482_state,A_239: hoare_1708887482_state > $o,B_154: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_239 @ B_154 )
% 0.66/0.82 => ( ( member451959335_state @ X_109 @ A_239 )
% 0.66/0.82 => ( member451959335_state @ X_109 @ B_154 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_159_in__mono,axiom,
% 0.66/0.82 ! [X_109: pname,A_239: pname > $o,B_154: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_239 @ B_154 )
% 0.66/0.82 => ( ( member_pname @ X_109 @ A_239 )
% 0.66/0.82 => ( member_pname @ X_109 @ B_154 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_160_equalityD2,axiom,
% 0.66/0.82 ! [A_238: pname > $o,B_153: pname > $o] :
% 0.66/0.82 ( ( A_238 = B_153 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ B_153 @ A_238 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_161_equalityD2,axiom,
% 0.66/0.82 ! [A_238: hoare_1708887482_state > $o,B_153: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_238 = B_153 )
% 0.66/0.82 => ( ord_le777019615tate_o @ B_153 @ A_238 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_162_equalityD1,axiom,
% 0.66/0.82 ! [A_237: pname > $o,B_152: pname > $o] :
% 0.66/0.82 ( ( A_237 = B_152 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ A_237 @ B_152 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_163_equalityD1,axiom,
% 0.66/0.82 ! [A_237: hoare_1708887482_state > $o,B_152: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_237 = B_152 )
% 0.66/0.82 => ( ord_le777019615tate_o @ A_237 @ B_152 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_164_set__eq__subset,axiom,
% 0.66/0.82 ! [A_236: pname > $o,B_151: pname > $o] :
% 0.66/0.82 ( ( A_236 = B_151 )
% 0.66/0.82 <=> ( ( ord_less_eq_pname_o @ A_236 @ B_151 )
% 0.66/0.82 & ( ord_less_eq_pname_o @ B_151 @ A_236 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_165_set__eq__subset,axiom,
% 0.66/0.82 ! [A_236: hoare_1708887482_state > $o,B_151: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_236 = B_151 )
% 0.66/0.82 <=> ( ( ord_le777019615tate_o @ A_236 @ B_151 )
% 0.66/0.82 & ( ord_le777019615tate_o @ B_151 @ A_236 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_166_subset__refl,axiom,
% 0.66/0.82 ! [A_235: pname > $o] : ( ord_less_eq_pname_o @ A_235 @ A_235 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_167_subset__refl,axiom,
% 0.66/0.82 ! [A_235: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ A_235 @ A_235 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_168_rev__image__eqI,axiom,
% 0.66/0.82 ! [B_150: com,F_84: hoare_1708887482_state > com,X_108: hoare_1708887482_state,A_234: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ X_108 @ A_234 )
% 0.66/0.82 => ( ( B_150
% 0.66/0.82 = ( F_84 @ X_108 ) )
% 0.66/0.82 => ( member_com @ B_150 @ ( image_1604448413te_com @ F_84 @ A_234 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_169_rev__image__eqI,axiom,
% 0.66/0.82 ! [B_150: com,F_84: pname > com,X_108: pname,A_234: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_108 @ A_234 )
% 0.66/0.82 => ( ( B_150
% 0.66/0.82 = ( F_84 @ X_108 ) )
% 0.66/0.82 => ( member_com @ B_150 @ ( image_pname_com @ F_84 @ A_234 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_170_rev__image__eqI,axiom,
% 0.66/0.82 ! [B_150: hoare_1708887482_state,F_84: com > hoare_1708887482_state,X_108: com,A_234: com > $o] :
% 0.66/0.82 ( ( member_com @ X_108 @ A_234 )
% 0.66/0.82 => ( ( B_150
% 0.66/0.82 = ( F_84 @ X_108 ) )
% 0.66/0.82 => ( member451959335_state @ B_150 @ ( image_934102463_state @ F_84 @ A_234 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_171_rev__image__eqI,axiom,
% 0.66/0.82 ! [B_150: pname,F_84: com > pname,X_108: com,A_234: com > $o] :
% 0.66/0.82 ( ( member_com @ X_108 @ A_234 )
% 0.66/0.82 => ( ( B_150
% 0.66/0.82 = ( F_84 @ X_108 ) )
% 0.66/0.82 => ( member_pname @ B_150 @ ( image_com_pname @ F_84 @ A_234 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_172_rev__image__eqI,axiom,
% 0.66/0.82 ! [B_150: hoare_1708887482_state,F_84: pname > hoare_1708887482_state,X_108: pname,A_234: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_108 @ A_234 )
% 0.66/0.82 => ( ( B_150
% 0.66/0.82 = ( F_84 @ X_108 ) )
% 0.66/0.82 => ( member451959335_state @ B_150 @ ( image_1116629049_state @ F_84 @ A_234 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_173_imageI,axiom,
% 0.66/0.82 ! [F_83: hoare_1708887482_state > com,X_107: hoare_1708887482_state,A_233: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ X_107 @ A_233 )
% 0.66/0.82 => ( member_com @ ( F_83 @ X_107 ) @ ( image_1604448413te_com @ F_83 @ A_233 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_174_imageI,axiom,
% 0.66/0.82 ! [F_83: pname > com,X_107: pname,A_233: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_107 @ A_233 )
% 0.66/0.82 => ( member_com @ ( F_83 @ X_107 ) @ ( image_pname_com @ F_83 @ A_233 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_175_imageI,axiom,
% 0.66/0.82 ! [F_83: com > hoare_1708887482_state,X_107: com,A_233: com > $o] :
% 0.66/0.82 ( ( member_com @ X_107 @ A_233 )
% 0.66/0.82 => ( member451959335_state @ ( F_83 @ X_107 ) @ ( image_934102463_state @ F_83 @ A_233 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_176_imageI,axiom,
% 0.66/0.82 ! [F_83: com > pname,X_107: com,A_233: com > $o] :
% 0.66/0.82 ( ( member_com @ X_107 @ A_233 )
% 0.66/0.82 => ( member_pname @ ( F_83 @ X_107 ) @ ( image_com_pname @ F_83 @ A_233 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_177_imageI,axiom,
% 0.66/0.82 ! [F_83: pname > hoare_1708887482_state,X_107: pname,A_233: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_107 @ A_233 )
% 0.66/0.82 => ( member451959335_state @ ( F_83 @ X_107 ) @ ( image_1116629049_state @ F_83 @ A_233 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_178_image__iff,axiom,
% 0.66/0.82 ! [Z_21: hoare_1708887482_state,F_82: pname > hoare_1708887482_state,A_232: pname > $o] :
% 0.66/0.82 ( ( member451959335_state @ Z_21 @ ( image_1116629049_state @ F_82 @ A_232 ) )
% 0.66/0.82 <=> ? [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_232 )
% 0.66/0.82 & ( Z_21
% 0.66/0.82 = ( F_82 @ X_3 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_179_finite__Collect__disjI,axiom,
% 0.66/0.82 ! [P_41: ( pname > $o ) > $o,Q_25: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o
% 0.66/0.82 @ ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (|) @ ( P_41 @ X_3 ) @ ( Q_25 @ X_3 ) ) ) )
% 0.66/0.82 <=> ( ( finite297249702name_o @ ( collect_pname_o @ P_41 ) )
% 0.66/0.82 & ( finite297249702name_o @ ( collect_pname_o @ Q_25 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_180_finite__Collect__disjI,axiom,
% 0.66/0.82 ! [P_41: ( hoare_1708887482_state > $o ) > $o,Q_25: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o
% 0.66/0.82 @ ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (|) @ ( P_41 @ X_3 ) @ ( Q_25 @ X_3 ) ) ) )
% 0.66/0.82 <=> ( ( finite1329924456tate_o @ ( collec219771562tate_o @ P_41 ) )
% 0.66/0.82 & ( finite1329924456tate_o @ ( collec219771562tate_o @ Q_25 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_181_finite__Collect__disjI,axiom,
% 0.66/0.82 ! [P_41: hoare_1708887482_state > $o,Q_25: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state
% 0.66/0.82 @ ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (|) @ ( P_41 @ X_3 ) @ ( Q_25 @ X_3 ) ) ) )
% 0.66/0.82 <=> ( ( finite1625599783_state @ ( collec1568722789_state @ P_41 ) )
% 0.66/0.82 & ( finite1625599783_state @ ( collec1568722789_state @ Q_25 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_182_finite__Collect__disjI,axiom,
% 0.66/0.82 ! [P_41: pname > $o,Q_25: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname
% 0.66/0.82 @ ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (|) @ ( P_41 @ X_3 ) @ ( Q_25 @ X_3 ) ) ) )
% 0.66/0.82 <=> ( ( finite_finite_pname @ ( collect_pname @ P_41 ) )
% 0.66/0.82 & ( finite_finite_pname @ ( collect_pname @ Q_25 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_183_insert__compr__raw,axiom,
% 0.66/0.82 ! [X_3: com,Xa: com > $o] :
% 0.66/0.82 ( ( insert_com @ X_3 @ Xa )
% 0.66/0.82 = ( collect_com
% 0.66/0.82 @ ^ [Y_4: com] : ( (|) @ ( Y_4 = X_3 ) @ ( member_com @ Y_4 @ Xa ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_184_insert__compr__raw,axiom,
% 0.66/0.82 ! [X_3: pname > $o,Xa: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( insert_pname_o @ X_3 @ Xa )
% 0.66/0.82 = ( collect_pname_o
% 0.66/0.82 @ ^ [Y_4: pname > $o] : ( (|) @ ( Y_4 = X_3 ) @ ( member_pname_o @ Y_4 @ Xa ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_185_insert__compr__raw,axiom,
% 0.66/0.82 ! [X_3: hoare_1708887482_state > $o,Xa: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( insert949073679tate_o @ X_3 @ Xa )
% 0.66/0.82 = ( collec219771562tate_o
% 0.66/0.82 @ ^ [Y_4: hoare_1708887482_state > $o] : ( (|) @ ( Y_4 = X_3 ) @ ( member814030440tate_o @ Y_4 @ Xa ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_186_insert__compr__raw,axiom,
% 0.66/0.82 ! [X_3: pname,Xa: pname > $o] :
% 0.66/0.82 ( ( insert_pname @ X_3 @ Xa )
% 0.66/0.82 = ( collect_pname
% 0.66/0.82 @ ^ [Y_4: pname] : ( (|) @ ( Y_4 = X_3 ) @ ( member_pname @ Y_4 @ Xa ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_187_insert__compr__raw,axiom,
% 0.66/0.82 ! [X_3: hoare_1708887482_state,Xa: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( insert528405184_state @ X_3 @ Xa )
% 0.66/0.82 = ( collec1568722789_state
% 0.66/0.82 @ ^ [Y_4: hoare_1708887482_state] : ( (|) @ ( Y_4 = X_3 ) @ ( member451959335_state @ Y_4 @ Xa ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_188_singleton__inject,axiom,
% 0.66/0.82 ! [A_231: pname,B_149: pname] :
% 0.66/0.82 ( ( ( insert_pname @ A_231 @ bot_bot_pname_o )
% 0.66/0.82 = ( insert_pname @ B_149 @ bot_bot_pname_o ) )
% 0.66/0.82 => ( A_231 = B_149 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_189_singleton__inject,axiom,
% 0.66/0.82 ! [A_231: com,B_149: com] :
% 0.66/0.82 ( ( ( insert_com @ A_231 @ bot_bot_com_o )
% 0.66/0.82 = ( insert_com @ B_149 @ bot_bot_com_o ) )
% 0.66/0.82 => ( A_231 = B_149 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_190_singleton__inject,axiom,
% 0.66/0.82 ! [A_231: hoare_1708887482_state,B_149: hoare_1708887482_state] :
% 0.66/0.82 ( ( ( insert528405184_state @ A_231 @ bot_bo19817387tate_o )
% 0.66/0.82 = ( insert528405184_state @ B_149 @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( A_231 = B_149 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_191_singletonE,axiom,
% 0.66/0.82 ! [B_148: com,A_230: com] :
% 0.66/0.82 ( ( member_com @ B_148 @ ( insert_com @ A_230 @ bot_bot_com_o ) )
% 0.66/0.82 => ( B_148 = A_230 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_192_singletonE,axiom,
% 0.66/0.82 ! [B_148: pname,A_230: pname] :
% 0.66/0.82 ( ( member_pname @ B_148 @ ( insert_pname @ A_230 @ bot_bot_pname_o ) )
% 0.66/0.82 => ( B_148 = A_230 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_193_singletonE,axiom,
% 0.66/0.82 ! [B_148: hoare_1708887482_state,A_230: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ B_148 @ ( insert528405184_state @ A_230 @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( B_148 = A_230 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_194_doubleton__eq__iff,axiom,
% 0.66/0.82 ! [A_229: pname,B_147: pname,C_63: pname,D_7: pname] :
% 0.66/0.82 ( ( ( insert_pname @ A_229 @ ( insert_pname @ B_147 @ bot_bot_pname_o ) )
% 0.66/0.82 = ( insert_pname @ C_63 @ ( insert_pname @ D_7 @ bot_bot_pname_o ) ) )
% 0.66/0.82 <=> ( ( ( A_229 = C_63 )
% 0.66/0.82 & ( B_147 = D_7 ) )
% 0.66/0.82 | ( ( A_229 = D_7 )
% 0.66/0.82 & ( B_147 = C_63 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_195_doubleton__eq__iff,axiom,
% 0.66/0.82 ! [A_229: com,B_147: com,C_63: com,D_7: com] :
% 0.66/0.82 ( ( ( insert_com @ A_229 @ ( insert_com @ B_147 @ bot_bot_com_o ) )
% 0.66/0.82 = ( insert_com @ C_63 @ ( insert_com @ D_7 @ bot_bot_com_o ) ) )
% 0.66/0.82 <=> ( ( ( A_229 = C_63 )
% 0.66/0.82 & ( B_147 = D_7 ) )
% 0.66/0.82 | ( ( A_229 = D_7 )
% 0.66/0.82 & ( B_147 = C_63 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_196_doubleton__eq__iff,axiom,
% 0.66/0.82 ! [A_229: hoare_1708887482_state,B_147: hoare_1708887482_state,C_63: hoare_1708887482_state,D_7: hoare_1708887482_state] :
% 0.66/0.82 ( ( ( insert528405184_state @ A_229 @ ( insert528405184_state @ B_147 @ bot_bo19817387tate_o ) )
% 0.66/0.82 = ( insert528405184_state @ C_63 @ ( insert528405184_state @ D_7 @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 <=> ( ( ( A_229 = C_63 )
% 0.66/0.82 & ( B_147 = D_7 ) )
% 0.66/0.82 | ( ( A_229 = D_7 )
% 0.66/0.82 & ( B_147 = C_63 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_197_singleton__iff,axiom,
% 0.66/0.82 ! [B_146: com,A_228: com] :
% 0.66/0.82 ( ( member_com @ B_146 @ ( insert_com @ A_228 @ bot_bot_com_o ) )
% 0.66/0.82 <=> ( B_146 = A_228 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_198_singleton__iff,axiom,
% 0.66/0.82 ! [B_146: pname,A_228: pname] :
% 0.66/0.82 ( ( member_pname @ B_146 @ ( insert_pname @ A_228 @ bot_bot_pname_o ) )
% 0.66/0.82 <=> ( B_146 = A_228 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_199_singleton__iff,axiom,
% 0.66/0.82 ! [B_146: hoare_1708887482_state,A_228: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ B_146 @ ( insert528405184_state @ A_228 @ bot_bo19817387tate_o ) )
% 0.66/0.82 <=> ( B_146 = A_228 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_200_insert__not__empty,axiom,
% 0.66/0.82 ! [A_227: pname,A_226: pname > $o] :
% 0.66/0.82 ( ( insert_pname @ A_227 @ A_226 )
% 0.66/0.82 != bot_bot_pname_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_201_insert__not__empty,axiom,
% 0.66/0.82 ! [A_227: com,A_226: com > $o] :
% 0.66/0.82 ( ( insert_com @ A_227 @ A_226 )
% 0.66/0.82 != bot_bot_com_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_202_insert__not__empty,axiom,
% 0.66/0.82 ! [A_227: hoare_1708887482_state,A_226: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( insert528405184_state @ A_227 @ A_226 )
% 0.66/0.82 != bot_bo19817387tate_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_203_empty__not__insert,axiom,
% 0.66/0.82 ! [A_225: pname,A_224: pname > $o] :
% 0.66/0.82 ( bot_bot_pname_o
% 0.66/0.82 != ( insert_pname @ A_225 @ A_224 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_204_empty__not__insert,axiom,
% 0.66/0.82 ! [A_225: com,A_224: com > $o] :
% 0.66/0.82 ( bot_bot_com_o
% 0.66/0.82 != ( insert_com @ A_225 @ A_224 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_205_empty__not__insert,axiom,
% 0.66/0.82 ! [A_225: hoare_1708887482_state,A_224: hoare_1708887482_state > $o] :
% 0.66/0.82 ( bot_bo19817387tate_o
% 0.66/0.82 != ( insert528405184_state @ A_225 @ A_224 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_206_finite__insert,axiom,
% 0.66/0.82 ! [A_223: com,A_222: com > $o] :
% 0.66/0.82 ( ( finite_finite_com @ ( insert_com @ A_223 @ A_222 ) )
% 0.66/0.82 <=> ( finite_finite_com @ A_222 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_207_finite__insert,axiom,
% 0.66/0.82 ! [A_223: pname > $o,A_222: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ ( insert_pname_o @ A_223 @ A_222 ) )
% 0.66/0.82 <=> ( finite297249702name_o @ A_222 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_208_finite__insert,axiom,
% 0.66/0.82 ! [A_223: hoare_1708887482_state > $o,A_222: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ ( insert949073679tate_o @ A_223 @ A_222 ) )
% 0.66/0.82 <=> ( finite1329924456tate_o @ A_222 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_209_finite__insert,axiom,
% 0.66/0.82 ! [A_223: pname,A_222: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ ( insert_pname @ A_223 @ A_222 ) )
% 0.66/0.82 <=> ( finite_finite_pname @ A_222 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_210_finite__insert,axiom,
% 0.66/0.82 ! [A_223: hoare_1708887482_state,A_222: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ ( insert528405184_state @ A_223 @ A_222 ) )
% 0.66/0.82 <=> ( finite1625599783_state @ A_222 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_211_subset__empty,axiom,
% 0.66/0.82 ! [A_221: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_221 @ bot_bot_pname_o )
% 0.66/0.82 <=> ( A_221 = bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_212_subset__empty,axiom,
% 0.66/0.82 ! [A_221: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ A_221 @ bot_bot_com_o )
% 0.66/0.82 <=> ( A_221 = bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_213_subset__empty,axiom,
% 0.66/0.82 ! [A_221: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_221 @ bot_bo19817387tate_o )
% 0.66/0.82 <=> ( A_221 = bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_214_image__is__empty,axiom,
% 0.66/0.82 ! [F_81: com > hoare_1708887482_state,A_220: com > $o] :
% 0.66/0.82 ( ( ( image_934102463_state @ F_81 @ A_220 )
% 0.66/0.82 = bot_bo19817387tate_o )
% 0.66/0.82 <=> ( A_220 = bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_215_image__is__empty,axiom,
% 0.66/0.82 ! [F_81: hoare_1708887482_state > pname,A_220: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( image_1509414295_pname @ F_81 @ A_220 )
% 0.66/0.82 = bot_bot_pname_o )
% 0.66/0.82 <=> ( A_220 = bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_216_image__is__empty,axiom,
% 0.66/0.82 ! [F_81: hoare_1708887482_state > com,A_220: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( image_1604448413te_com @ F_81 @ A_220 )
% 0.66/0.82 = bot_bot_com_o )
% 0.66/0.82 <=> ( A_220 = bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_217_image__is__empty,axiom,
% 0.66/0.82 ! [F_81: pname > hoare_1708887482_state,A_220: pname > $o] :
% 0.66/0.82 ( ( ( image_1116629049_state @ F_81 @ A_220 )
% 0.66/0.82 = bot_bo19817387tate_o )
% 0.66/0.82 <=> ( A_220 = bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_218_image__empty,axiom,
% 0.66/0.82 ! [F_80: hoare_1708887482_state > pname] :
% 0.66/0.82 ( ( image_1509414295_pname @ F_80 @ bot_bo19817387tate_o )
% 0.66/0.82 = bot_bot_pname_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_219_image__empty,axiom,
% 0.66/0.82 ! [F_80: hoare_1708887482_state > com] :
% 0.66/0.82 ( ( image_1604448413te_com @ F_80 @ bot_bo19817387tate_o )
% 0.66/0.82 = bot_bot_com_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_220_image__empty,axiom,
% 0.66/0.82 ! [F_80: com > hoare_1708887482_state] :
% 0.66/0.82 ( ( image_934102463_state @ F_80 @ bot_bot_com_o )
% 0.66/0.82 = bot_bo19817387tate_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_221_image__empty,axiom,
% 0.66/0.82 ! [F_80: pname > hoare_1708887482_state] :
% 0.66/0.82 ( ( image_1116629049_state @ F_80 @ bot_bot_pname_o )
% 0.66/0.82 = bot_bo19817387tate_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_222_empty__is__image,axiom,
% 0.66/0.82 ! [F_79: com > hoare_1708887482_state,A_219: com > $o] :
% 0.66/0.82 ( ( bot_bo19817387tate_o
% 0.66/0.82 = ( image_934102463_state @ F_79 @ A_219 ) )
% 0.66/0.82 <=> ( A_219 = bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_223_empty__is__image,axiom,
% 0.66/0.82 ! [F_79: hoare_1708887482_state > pname,A_219: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( bot_bot_pname_o
% 0.66/0.82 = ( image_1509414295_pname @ F_79 @ A_219 ) )
% 0.66/0.82 <=> ( A_219 = bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_224_empty__is__image,axiom,
% 0.66/0.82 ! [F_79: hoare_1708887482_state > com,A_219: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( bot_bot_com_o
% 0.66/0.82 = ( image_1604448413te_com @ F_79 @ A_219 ) )
% 0.66/0.82 <=> ( A_219 = bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_225_empty__is__image,axiom,
% 0.66/0.82 ! [F_79: pname > hoare_1708887482_state,A_219: pname > $o] :
% 0.66/0.82 ( ( bot_bo19817387tate_o
% 0.66/0.82 = ( image_1116629049_state @ F_79 @ A_219 ) )
% 0.66/0.82 <=> ( A_219 = bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_226_finite__subset,axiom,
% 0.66/0.82 ! [A_218: ( pname > $o ) > $o,B_145: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( ord_le1205211808me_o_o @ A_218 @ B_145 )
% 0.66/0.82 => ( ( finite297249702name_o @ B_145 )
% 0.66/0.82 => ( finite297249702name_o @ A_218 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_227_finite__subset,axiom,
% 0.66/0.82 ! [A_218: ( hoare_1708887482_state > $o ) > $o,B_145: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( ord_le1728773982te_o_o @ A_218 @ B_145 )
% 0.66/0.82 => ( ( finite1329924456tate_o @ B_145 )
% 0.66/0.82 => ( finite1329924456tate_o @ A_218 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_228_finite__subset,axiom,
% 0.66/0.82 ! [A_218: hoare_1708887482_state > $o,B_145: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_218 @ B_145 )
% 0.66/0.82 => ( ( finite1625599783_state @ B_145 )
% 0.66/0.82 => ( finite1625599783_state @ A_218 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_229_finite__subset,axiom,
% 0.66/0.82 ! [A_218: pname > $o,B_145: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_218 @ B_145 )
% 0.66/0.82 => ( ( finite_finite_pname @ B_145 )
% 0.66/0.82 => ( finite_finite_pname @ A_218 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_230_rev__finite__subset,axiom,
% 0.66/0.82 ! [A_217: ( pname > $o ) > $o,B_144: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ B_144 )
% 0.66/0.82 => ( ( ord_le1205211808me_o_o @ A_217 @ B_144 )
% 0.66/0.82 => ( finite297249702name_o @ A_217 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_231_rev__finite__subset,axiom,
% 0.66/0.82 ! [A_217: ( hoare_1708887482_state > $o ) > $o,B_144: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ B_144 )
% 0.66/0.82 => ( ( ord_le1728773982te_o_o @ A_217 @ B_144 )
% 0.66/0.82 => ( finite1329924456tate_o @ A_217 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_232_rev__finite__subset,axiom,
% 0.66/0.82 ! [A_217: hoare_1708887482_state > $o,B_144: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ B_144 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ A_217 @ B_144 )
% 0.66/0.82 => ( finite1625599783_state @ A_217 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_233_rev__finite__subset,axiom,
% 0.66/0.82 ! [A_217: pname > $o,B_144: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ B_144 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ A_217 @ B_144 )
% 0.66/0.82 => ( finite_finite_pname @ A_217 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_234_insert__mono,axiom,
% 0.66/0.82 ! [A_216: pname,C_62: pname > $o,D_6: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ C_62 @ D_6 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ ( insert_pname @ A_216 @ C_62 ) @ ( insert_pname @ A_216 @ D_6 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_235_insert__mono,axiom,
% 0.66/0.82 ! [A_216: com,C_62: com > $o,D_6: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ C_62 @ D_6 )
% 0.66/0.82 => ( ord_less_eq_com_o @ ( insert_com @ A_216 @ C_62 ) @ ( insert_com @ A_216 @ D_6 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_236_insert__mono,axiom,
% 0.66/0.82 ! [A_216: hoare_1708887482_state,C_62: hoare_1708887482_state > $o,D_6: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ C_62 @ D_6 )
% 0.66/0.82 => ( ord_le777019615tate_o @ ( insert528405184_state @ A_216 @ C_62 ) @ ( insert528405184_state @ A_216 @ D_6 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_237_mem__def,axiom,
% 0.66/0.82 ! [X_106: com,A_215: com > $o] :
% 0.66/0.82 ( ( member_com @ X_106 @ A_215 )
% 0.66/0.82 <=> ( A_215 @ X_106 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_238_mem__def,axiom,
% 0.66/0.82 ! [X_106: hoare_1708887482_state,A_215: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ X_106 @ A_215 )
% 0.66/0.82 <=> ( A_215 @ X_106 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_239_mem__def,axiom,
% 0.66/0.82 ! [X_106: pname,A_215: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_106 @ A_215 )
% 0.66/0.82 <=> ( A_215 @ X_106 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_240_Collect__def,axiom,
% 0.66/0.82 ! [P_40: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( collec1568722789_state @ P_40 )
% 0.66/0.82 = P_40 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_241_Collect__def,axiom,
% 0.66/0.82 ! [P_40: pname > $o] :
% 0.66/0.82 ( ( collect_pname @ P_40 )
% 0.66/0.82 = P_40 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_242_Collect__def,axiom,
% 0.66/0.82 ! [P_40: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( collect_pname_o @ P_40 )
% 0.66/0.82 = P_40 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_243_Collect__def,axiom,
% 0.66/0.82 ! [P_40: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( collec219771562tate_o @ P_40 )
% 0.66/0.82 = P_40 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_244_subset__insertI2,axiom,
% 0.66/0.82 ! [B_143: pname,A_214: pname > $o,B_142: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_214 @ B_142 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ A_214 @ ( insert_pname @ B_143 @ B_142 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_245_subset__insertI2,axiom,
% 0.66/0.82 ! [B_143: com,A_214: com > $o,B_142: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ A_214 @ B_142 )
% 0.66/0.82 => ( ord_less_eq_com_o @ A_214 @ ( insert_com @ B_143 @ B_142 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_246_subset__insertI2,axiom,
% 0.66/0.82 ! [B_143: hoare_1708887482_state,A_214: hoare_1708887482_state > $o,B_142: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_214 @ B_142 )
% 0.66/0.82 => ( ord_le777019615tate_o @ A_214 @ ( insert528405184_state @ B_143 @ B_142 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_247_subset__insert,axiom,
% 0.66/0.82 ! [B_141: com > $o,X_105: com,A_213: com > $o] :
% 0.66/0.82 ( ~ ( member_com @ X_105 @ A_213 )
% 0.66/0.82 => ( ( ord_less_eq_com_o @ A_213 @ ( insert_com @ X_105 @ B_141 ) )
% 0.66/0.82 <=> ( ord_less_eq_com_o @ A_213 @ B_141 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_248_subset__insert,axiom,
% 0.66/0.82 ! [B_141: pname > $o,X_105: pname,A_213: pname > $o] :
% 0.66/0.82 ( ~ ( member_pname @ X_105 @ A_213 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ A_213 @ ( insert_pname @ X_105 @ B_141 ) )
% 0.66/0.82 <=> ( ord_less_eq_pname_o @ A_213 @ B_141 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_249_subset__insert,axiom,
% 0.66/0.82 ! [B_141: hoare_1708887482_state > $o,X_105: hoare_1708887482_state,A_213: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ~ ( member451959335_state @ X_105 @ A_213 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ A_213 @ ( insert528405184_state @ X_105 @ B_141 ) )
% 0.66/0.82 <=> ( ord_le777019615tate_o @ A_213 @ B_141 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_250_insert__subset,axiom,
% 0.66/0.82 ! [X_104: com,A_212: com > $o,B_140: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ ( insert_com @ X_104 @ A_212 ) @ B_140 )
% 0.66/0.82 <=> ( ( member_com @ X_104 @ B_140 )
% 0.66/0.82 & ( ord_less_eq_com_o @ A_212 @ B_140 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_251_insert__subset,axiom,
% 0.66/0.82 ! [X_104: pname,A_212: pname > $o,B_140: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ ( insert_pname @ X_104 @ A_212 ) @ B_140 )
% 0.66/0.82 <=> ( ( member_pname @ X_104 @ B_140 )
% 0.66/0.82 & ( ord_less_eq_pname_o @ A_212 @ B_140 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_252_insert__subset,axiom,
% 0.66/0.82 ! [X_104: hoare_1708887482_state,A_212: hoare_1708887482_state > $o,B_140: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ ( insert528405184_state @ X_104 @ A_212 ) @ B_140 )
% 0.66/0.82 <=> ( ( member451959335_state @ X_104 @ B_140 )
% 0.66/0.82 & ( ord_le777019615tate_o @ A_212 @ B_140 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_253_subset__insertI,axiom,
% 0.66/0.82 ! [B_139: pname > $o,A_211: pname] : ( ord_less_eq_pname_o @ B_139 @ ( insert_pname @ A_211 @ B_139 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_254_subset__insertI,axiom,
% 0.66/0.82 ! [B_139: com > $o,A_211: com] : ( ord_less_eq_com_o @ B_139 @ ( insert_com @ A_211 @ B_139 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_255_subset__insertI,axiom,
% 0.66/0.82 ! [B_139: hoare_1708887482_state > $o,A_211: hoare_1708887482_state] : ( ord_le777019615tate_o @ B_139 @ ( insert528405184_state @ A_211 @ B_139 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_256_insert__image,axiom,
% 0.66/0.82 ! [F_78: hoare_1708887482_state > pname,X_103: hoare_1708887482_state,A_210: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ X_103 @ A_210 )
% 0.66/0.82 => ( ( insert_pname @ ( F_78 @ X_103 ) @ ( image_1509414295_pname @ F_78 @ A_210 ) )
% 0.66/0.82 = ( image_1509414295_pname @ F_78 @ A_210 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_257_insert__image,axiom,
% 0.66/0.82 ! [F_78: hoare_1708887482_state > com,X_103: hoare_1708887482_state,A_210: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ X_103 @ A_210 )
% 0.66/0.82 => ( ( insert_com @ ( F_78 @ X_103 ) @ ( image_1604448413te_com @ F_78 @ A_210 ) )
% 0.66/0.82 = ( image_1604448413te_com @ F_78 @ A_210 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_258_insert__image,axiom,
% 0.66/0.82 ! [F_78: pname > pname,X_103: pname,A_210: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_103 @ A_210 )
% 0.66/0.82 => ( ( insert_pname @ ( F_78 @ X_103 ) @ ( image_pname_pname @ F_78 @ A_210 ) )
% 0.66/0.82 = ( image_pname_pname @ F_78 @ A_210 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_259_insert__image,axiom,
% 0.66/0.82 ! [F_78: pname > com,X_103: pname,A_210: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_103 @ A_210 )
% 0.66/0.82 => ( ( insert_com @ ( F_78 @ X_103 ) @ ( image_pname_com @ F_78 @ A_210 ) )
% 0.66/0.82 = ( image_pname_com @ F_78 @ A_210 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_260_insert__image,axiom,
% 0.66/0.82 ! [F_78: com > hoare_1708887482_state,X_103: com,A_210: com > $o] :
% 0.66/0.82 ( ( member_com @ X_103 @ A_210 )
% 0.66/0.82 => ( ( insert528405184_state @ ( F_78 @ X_103 ) @ ( image_934102463_state @ F_78 @ A_210 ) )
% 0.66/0.82 = ( image_934102463_state @ F_78 @ A_210 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_261_insert__image,axiom,
% 0.66/0.82 ! [F_78: pname > hoare_1708887482_state,X_103: pname,A_210: pname > $o] :
% 0.66/0.82 ( ( member_pname @ X_103 @ A_210 )
% 0.66/0.82 => ( ( insert528405184_state @ ( F_78 @ X_103 ) @ ( image_1116629049_state @ F_78 @ A_210 ) )
% 0.66/0.82 = ( image_1116629049_state @ F_78 @ A_210 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_262_image__insert,axiom,
% 0.66/0.82 ! [F_77: hoare_1708887482_state > pname,A_209: hoare_1708887482_state,B_138: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( image_1509414295_pname @ F_77 @ ( insert528405184_state @ A_209 @ B_138 ) )
% 0.66/0.82 = ( insert_pname @ ( F_77 @ A_209 ) @ ( image_1509414295_pname @ F_77 @ B_138 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_263_image__insert,axiom,
% 0.66/0.82 ! [F_77: hoare_1708887482_state > com,A_209: hoare_1708887482_state,B_138: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( image_1604448413te_com @ F_77 @ ( insert528405184_state @ A_209 @ B_138 ) )
% 0.66/0.82 = ( insert_com @ ( F_77 @ A_209 ) @ ( image_1604448413te_com @ F_77 @ B_138 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_264_image__insert,axiom,
% 0.66/0.82 ! [F_77: com > hoare_1708887482_state,A_209: com,B_138: com > $o] :
% 0.66/0.82 ( ( image_934102463_state @ F_77 @ ( insert_com @ A_209 @ B_138 ) )
% 0.66/0.82 = ( insert528405184_state @ ( F_77 @ A_209 ) @ ( image_934102463_state @ F_77 @ B_138 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_265_image__insert,axiom,
% 0.66/0.82 ! [F_77: pname > hoare_1708887482_state,A_209: pname,B_138: pname > $o] :
% 0.66/0.82 ( ( image_1116629049_state @ F_77 @ ( insert_pname @ A_209 @ B_138 ) )
% 0.66/0.82 = ( insert528405184_state @ ( F_77 @ A_209 ) @ ( image_1116629049_state @ F_77 @ B_138 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_266_image__mono,axiom,
% 0.66/0.82 ! [F_76: hoare_1708887482_state > pname,A_208: hoare_1708887482_state > $o,B_137: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_208 @ B_137 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ ( image_1509414295_pname @ F_76 @ A_208 ) @ ( image_1509414295_pname @ F_76 @ B_137 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_267_image__mono,axiom,
% 0.66/0.82 ! [F_76: pname > hoare_1708887482_state,A_208: pname > $o,B_137: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_208 @ B_137 )
% 0.66/0.82 => ( ord_le777019615tate_o @ ( image_1116629049_state @ F_76 @ A_208 ) @ ( image_1116629049_state @ F_76 @ B_137 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_268_subset__image__iff,axiom,
% 0.66/0.82 ! [B_136: pname > $o,F_75: hoare_1708887482_state > pname,A_207: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ B_136 @ ( image_1509414295_pname @ F_75 @ A_207 ) )
% 0.66/0.82 <=> ? [AA: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ AA @ A_207 )
% 0.66/0.82 & ( B_136
% 0.66/0.82 = ( image_1509414295_pname @ F_75 @ AA ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_269_subset__image__iff,axiom,
% 0.66/0.82 ! [B_136: hoare_1708887482_state > $o,F_75: pname > hoare_1708887482_state,A_207: pname > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ B_136 @ ( image_1116629049_state @ F_75 @ A_207 ) )
% 0.66/0.82 <=> ? [AA: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ AA @ A_207 )
% 0.66/0.82 & ( B_136
% 0.66/0.82 = ( image_1116629049_state @ F_75 @ AA ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_270_domI,axiom,
% 0.66/0.82 ! [M_5: com > option_com,A_206: com,B_135: com] :
% 0.66/0.82 ( ( ( M_5 @ A_206 )
% 0.66/0.82 = ( some_com @ B_135 ) )
% 0.66/0.82 => ( member_com @ A_206 @ ( dom_com_com @ M_5 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_271_domI,axiom,
% 0.66/0.82 ! [M_5: hoare_1708887482_state > option_pname,A_206: hoare_1708887482_state,B_135: pname] :
% 0.66/0.82 ( ( ( M_5 @ A_206 )
% 0.66/0.82 = ( some_pname @ B_135 ) )
% 0.66/0.82 => ( member451959335_state @ A_206 @ ( dom_Ho1805192458_pname @ M_5 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_272_domI,axiom,
% 0.66/0.82 ! [M_5: hoare_1708887482_state > option1624383643_state,A_206: hoare_1708887482_state,B_135: hoare_1708887482_state] :
% 0.66/0.82 ( ( ( M_5 @ A_206 )
% 0.66/0.82 = ( some_H1974565227_state @ B_135 ) )
% 0.66/0.82 => ( member451959335_state @ A_206 @ ( dom_Ho1703271284_state @ M_5 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_273_domI,axiom,
% 0.66/0.82 ! [M_5: pname > option_pname,A_206: pname,B_135: pname] :
% 0.66/0.82 ( ( ( M_5 @ A_206 )
% 0.66/0.82 = ( some_pname @ B_135 ) )
% 0.66/0.82 => ( member_pname @ A_206 @ ( dom_pname_pname @ M_5 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_274_domI,axiom,
% 0.66/0.82 ! [M_5: pname > option1624383643_state,A_206: pname,B_135: hoare_1708887482_state] :
% 0.66/0.82 ( ( ( M_5 @ A_206 )
% 0.66/0.82 = ( some_H1974565227_state @ B_135 ) )
% 0.66/0.82 => ( member_pname @ A_206 @ ( dom_pn1412407212_state @ M_5 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_275_domI,axiom,
% 0.66/0.82 ! [M_5: pname > option_com,A_206: pname,B_135: com] :
% 0.66/0.82 ( ( ( M_5 @ A_206 )
% 0.66/0.82 = ( some_com @ B_135 ) )
% 0.66/0.82 => ( member_pname @ A_206 @ ( dom_pname_com @ M_5 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_276_Collect__conv__if,axiom,
% 0.66/0.82 ! [P_39: pname > $o,A_205: pname] :
% 0.66/0.82 ( ( ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = ( insert_pname @ A_205 @ bot_bot_pname_o ) ) )
% 0.66/0.82 & ( ~ ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = bot_bot_pname_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_277_Collect__conv__if,axiom,
% 0.66/0.82 ! [P_39: com > $o,A_205: com] :
% 0.66/0.82 ( ( ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = ( insert_com @ A_205 @ bot_bot_com_o ) ) )
% 0.66/0.82 & ( ~ ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = bot_bot_com_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_278_Collect__conv__if,axiom,
% 0.66/0.82 ! [P_39: ( pname > $o ) > $o,A_205: pname > $o] :
% 0.66/0.82 ( ( ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = ( insert_pname_o @ A_205 @ bot_bot_pname_o_o ) ) )
% 0.66/0.82 & ( ~ ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = bot_bot_pname_o_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_279_Collect__conv__if,axiom,
% 0.66/0.82 ! [P_39: ( hoare_1708887482_state > $o ) > $o,A_205: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = ( insert949073679tate_o @ A_205 @ bot_bo1678742418te_o_o ) ) )
% 0.66/0.82 & ( ~ ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = bot_bo1678742418te_o_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_280_Collect__conv__if,axiom,
% 0.66/0.82 ! [P_39: hoare_1708887482_state > $o,A_205: hoare_1708887482_state] :
% 0.66/0.82 ( ( ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = ( insert528405184_state @ A_205 @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 & ( ~ ( P_39 @ A_205 )
% 0.66/0.82 => ( ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (&) @ ( X_3 = A_205 ) @ ( P_39 @ X_3 ) ) )
% 0.66/0.82 = bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_281_Collect__conv__if2,axiom,
% 0.66/0.82 ! [P_38: pname > $o,A_204: pname] :
% 0.66/0.82 ( ( ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = ( insert_pname @ A_204 @ bot_bot_pname_o ) ) )
% 0.66/0.82 & ( ~ ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = bot_bot_pname_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_282_Collect__conv__if2,axiom,
% 0.66/0.82 ! [P_38: com > $o,A_204: com] :
% 0.66/0.82 ( ( ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = ( insert_com @ A_204 @ bot_bot_com_o ) ) )
% 0.66/0.82 & ( ~ ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = bot_bot_com_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_283_Collect__conv__if2,axiom,
% 0.66/0.82 ! [P_38: ( pname > $o ) > $o,A_204: pname > $o] :
% 0.66/0.82 ( ( ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = ( insert_pname_o @ A_204 @ bot_bot_pname_o_o ) ) )
% 0.66/0.82 & ( ~ ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = bot_bot_pname_o_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_284_Collect__conv__if2,axiom,
% 0.66/0.82 ! [P_38: ( hoare_1708887482_state > $o ) > $o,A_204: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = ( insert949073679tate_o @ A_204 @ bot_bo1678742418te_o_o ) ) )
% 0.66/0.82 & ( ~ ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = bot_bo1678742418te_o_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_285_Collect__conv__if2,axiom,
% 0.66/0.82 ! [P_38: hoare_1708887482_state > $o,A_204: hoare_1708887482_state] :
% 0.66/0.82 ( ( ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = ( insert528405184_state @ A_204 @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 & ( ~ ( P_38 @ A_204 )
% 0.66/0.82 => ( ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (&) @ ( A_204 = X_3 ) @ ( P_38 @ X_3 ) ) )
% 0.66/0.82 = bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_286_singleton__conv,axiom,
% 0.66/0.82 ! [A_203: pname] :
% 0.66/0.82 ( ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( X_3 = A_203 ) )
% 0.66/0.82 = ( insert_pname @ A_203 @ bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_287_singleton__conv,axiom,
% 0.66/0.82 ! [A_203: com] :
% 0.66/0.82 ( ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : ( X_3 = A_203 ) )
% 0.66/0.82 = ( insert_com @ A_203 @ bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_288_singleton__conv,axiom,
% 0.66/0.82 ! [A_203: pname > $o] :
% 0.66/0.82 ( ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( X_3 = A_203 ) )
% 0.66/0.82 = ( insert_pname_o @ A_203 @ bot_bot_pname_o_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_289_singleton__conv,axiom,
% 0.66/0.82 ! [A_203: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( X_3 = A_203 ) )
% 0.66/0.82 = ( insert949073679tate_o @ A_203 @ bot_bo1678742418te_o_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_290_singleton__conv,axiom,
% 0.66/0.82 ! [A_203: hoare_1708887482_state] :
% 0.66/0.82 ( ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( X_3 = A_203 ) )
% 0.66/0.82 = ( insert528405184_state @ A_203 @ bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_291_singleton__conv2,axiom,
% 0.66/0.82 ! [A_202: pname] :
% 0.66/0.82 ( ( collect_pname @ ( fequal_pname @ A_202 ) )
% 0.66/0.82 = ( insert_pname @ A_202 @ bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_292_singleton__conv2,axiom,
% 0.66/0.82 ! [A_202: com] :
% 0.66/0.82 ( ( collect_com @ ( fequal_com @ A_202 ) )
% 0.66/0.82 = ( insert_com @ A_202 @ bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_293_singleton__conv2,axiom,
% 0.66/0.82 ! [A_202: pname > $o] :
% 0.66/0.82 ( ( collect_pname_o @ ( fequal_pname_o @ A_202 ) )
% 0.66/0.82 = ( insert_pname_o @ A_202 @ bot_bot_pname_o_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_294_singleton__conv2,axiom,
% 0.66/0.82 ! [A_202: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( collec219771562tate_o @ ( fequal1436017556tate_o @ A_202 ) )
% 0.66/0.82 = ( insert949073679tate_o @ A_202 @ bot_bo1678742418te_o_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_295_singleton__conv2,axiom,
% 0.66/0.82 ! [A_202: hoare_1708887482_state] :
% 0.66/0.82 ( ( collec1568722789_state @ ( fequal224822779_state @ A_202 ) )
% 0.66/0.82 = ( insert528405184_state @ A_202 @ bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_296_MGF__lemma1,axiom,
% 0.66/0.82 ! [C_34: com,G_7: hoare_1708887482_state > $o] :
% 0.66/0.82 ( hoare_1160767572gleton
% 0.66/0.82 => ( ! [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ ( dom_pname_com @ body ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_7 @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ ( body_1 @ X_3 ) ) @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 => ( ( wt @ C_34 )
% 0.66/0.82 => ( hoare_90032982_state @ G_7 @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ C_34 ) @ bot_bo19817387tate_o ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_297_WT__bodiesD,axiom,
% 0.66/0.82 ! [Pn_1: pname,B_82: com] :
% 0.66/0.82 ( wT_bodies
% 0.66/0.82 => ( ( ( body @ Pn_1 )
% 0.66/0.82 = ( some_com @ B_82 ) )
% 0.66/0.82 => ( wt @ B_82 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_298_imageE,axiom,
% 0.66/0.82 ! [B_134: hoare_1708887482_state,F_74: com > hoare_1708887482_state,A_201: com > $o] :
% 0.66/0.82 ( ( member451959335_state @ B_134 @ ( image_934102463_state @ F_74 @ A_201 ) )
% 0.66/0.82 => ~ ! [X_3: com] :
% 0.66/0.82 ( ( B_134
% 0.66/0.82 = ( F_74 @ X_3 ) )
% 0.66/0.82 => ~ ( member_com @ X_3 @ A_201 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_299_imageE,axiom,
% 0.66/0.82 ! [B_134: pname,F_74: com > pname,A_201: com > $o] :
% 0.66/0.82 ( ( member_pname @ B_134 @ ( image_com_pname @ F_74 @ A_201 ) )
% 0.66/0.82 => ~ ! [X_3: com] :
% 0.66/0.82 ( ( B_134
% 0.66/0.82 = ( F_74 @ X_3 ) )
% 0.66/0.82 => ~ ( member_com @ X_3 @ A_201 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_300_imageE,axiom,
% 0.66/0.82 ! [B_134: com,F_74: hoare_1708887482_state > com,A_201: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member_com @ B_134 @ ( image_1604448413te_com @ F_74 @ A_201 ) )
% 0.66/0.82 => ~ ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( B_134
% 0.66/0.82 = ( F_74 @ X_3 ) )
% 0.66/0.82 => ~ ( member451959335_state @ X_3 @ A_201 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_301_imageE,axiom,
% 0.66/0.82 ! [B_134: com,F_74: pname > com,A_201: pname > $o] :
% 0.66/0.82 ( ( member_com @ B_134 @ ( image_pname_com @ F_74 @ A_201 ) )
% 0.66/0.82 => ~ ! [X_3: pname] :
% 0.66/0.82 ( ( B_134
% 0.66/0.82 = ( F_74 @ X_3 ) )
% 0.66/0.82 => ~ ( member_pname @ X_3 @ A_201 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_302_imageE,axiom,
% 0.66/0.82 ! [B_134: hoare_1708887482_state,F_74: pname > hoare_1708887482_state,A_201: pname > $o] :
% 0.66/0.82 ( ( member451959335_state @ B_134 @ ( image_1116629049_state @ F_74 @ A_201 ) )
% 0.66/0.82 => ~ ! [X_3: pname] :
% 0.66/0.82 ( ( B_134
% 0.66/0.82 = ( F_74 @ X_3 ) )
% 0.66/0.82 => ~ ( member_pname @ X_3 @ A_201 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_303_finite__subset__induct,axiom,
% 0.66/0.82 ! [P_37: ( com > $o ) > $o,A_200: com > $o,F_73: com > $o] :
% 0.66/0.82 ( ( finite_finite_com @ F_73 )
% 0.66/0.82 => ( ( ord_less_eq_com_o @ F_73 @ A_200 )
% 0.66/0.82 => ( ( P_37 @ bot_bot_com_o )
% 0.66/0.82 => ( ! [A_6: com,F_53: com > $o] :
% 0.66/0.82 ( ( finite_finite_com @ F_53 )
% 0.66/0.82 => ( ( member_com @ A_6 @ A_200 )
% 0.66/0.82 => ( ~ ( member_com @ A_6 @ F_53 )
% 0.66/0.82 => ( ( P_37 @ F_53 )
% 0.66/0.82 => ( P_37 @ ( insert_com @ A_6 @ F_53 ) ) ) ) ) )
% 0.66/0.82 => ( P_37 @ F_73 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_304_finite__subset__induct,axiom,
% 0.66/0.82 ! [P_37: ( ( pname > $o ) > $o ) > $o,A_200: ( pname > $o ) > $o,F_73: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ F_73 )
% 0.66/0.82 => ( ( ord_le1205211808me_o_o @ F_73 @ A_200 )
% 0.66/0.82 => ( ( P_37 @ bot_bot_pname_o_o )
% 0.66/0.82 => ( ! [A_6: pname > $o,F_53: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ F_53 )
% 0.66/0.82 => ( ( member_pname_o @ A_6 @ A_200 )
% 0.66/0.82 => ( ~ ( member_pname_o @ A_6 @ F_53 )
% 0.66/0.82 => ( ( P_37 @ F_53 )
% 0.66/0.82 => ( P_37 @ ( insert_pname_o @ A_6 @ F_53 ) ) ) ) ) )
% 0.66/0.82 => ( P_37 @ F_73 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_305_finite__subset__induct,axiom,
% 0.66/0.82 ! [P_37: ( ( hoare_1708887482_state > $o ) > $o ) > $o,A_200: ( hoare_1708887482_state > $o ) > $o,F_73: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ F_73 )
% 0.66/0.82 => ( ( ord_le1728773982te_o_o @ F_73 @ A_200 )
% 0.66/0.82 => ( ( P_37 @ bot_bo1678742418te_o_o )
% 0.66/0.82 => ( ! [A_6: hoare_1708887482_state > $o,F_53: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ F_53 )
% 0.66/0.82 => ( ( member814030440tate_o @ A_6 @ A_200 )
% 0.66/0.82 => ( ~ ( member814030440tate_o @ A_6 @ F_53 )
% 0.66/0.82 => ( ( P_37 @ F_53 )
% 0.66/0.82 => ( P_37 @ ( insert949073679tate_o @ A_6 @ F_53 ) ) ) ) ) )
% 0.66/0.82 => ( P_37 @ F_73 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_306_finite__subset__induct,axiom,
% 0.66/0.82 ! [P_37: ( pname > $o ) > $o,A_200: pname > $o,F_73: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ F_73 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ F_73 @ A_200 )
% 0.66/0.82 => ( ( P_37 @ bot_bot_pname_o )
% 0.66/0.82 => ( ! [A_6: pname,F_53: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ F_53 )
% 0.66/0.82 => ( ( member_pname @ A_6 @ A_200 )
% 0.66/0.82 => ( ~ ( member_pname @ A_6 @ F_53 )
% 0.66/0.82 => ( ( P_37 @ F_53 )
% 0.66/0.82 => ( P_37 @ ( insert_pname @ A_6 @ F_53 ) ) ) ) ) )
% 0.66/0.82 => ( P_37 @ F_73 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_307_finite__subset__induct,axiom,
% 0.66/0.82 ! [P_37: ( hoare_1708887482_state > $o ) > $o,A_200: hoare_1708887482_state > $o,F_73: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ F_73 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ F_73 @ A_200 )
% 0.66/0.82 => ( ( P_37 @ bot_bo19817387tate_o )
% 0.66/0.82 => ( ! [A_6: hoare_1708887482_state,F_53: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ F_53 )
% 0.66/0.82 => ( ( member451959335_state @ A_6 @ A_200 )
% 0.66/0.82 => ( ~ ( member451959335_state @ A_6 @ F_53 )
% 0.66/0.82 => ( ( P_37 @ F_53 )
% 0.66/0.82 => ( P_37 @ ( insert528405184_state @ A_6 @ F_53 ) ) ) ) ) )
% 0.66/0.82 => ( P_37 @ F_73 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_308_WTs__elim__cases_I7_J,axiom,
% 0.66/0.82 ! [P: pname] :
% 0.66/0.82 ( ( wt @ ( body_1 @ P ) )
% 0.66/0.82 => ~ ! [Y_4: com] :
% 0.66/0.82 ( ( body @ P )
% 0.66/0.82 != ( some_com @ Y_4 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_309_subsetI,axiom,
% 0.66/0.82 ! [B_133: com > $o,A_199: com > $o] :
% 0.66/0.82 ( ! [X_3: com] :
% 0.66/0.82 ( ( member_com @ X_3 @ A_199 )
% 0.66/0.82 => ( member_com @ X_3 @ B_133 ) )
% 0.66/0.82 => ( ord_less_eq_com_o @ A_199 @ B_133 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_310_subsetI,axiom,
% 0.66/0.82 ! [B_133: hoare_1708887482_state > $o,A_199: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_199 )
% 0.66/0.82 => ( member451959335_state @ X_3 @ B_133 ) )
% 0.66/0.82 => ( ord_le777019615tate_o @ A_199 @ B_133 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_311_subsetI,axiom,
% 0.66/0.82 ! [B_133: pname > $o,A_199: pname > $o] :
% 0.66/0.82 ( ! [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_199 )
% 0.66/0.82 => ( member_pname @ X_3 @ B_133 ) )
% 0.66/0.82 => ( ord_less_eq_pname_o @ A_199 @ B_133 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_312_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: ( pname > $o ) > hoare_1708887482_state,A_198: ( pname > $o ) > $o,B_132: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ B_132 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_132 @ ( image_1922967206_state @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( ord_le1205211808me_o_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite297249702name_o @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_1922967206_state @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_313_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: ( hoare_1708887482_state > $o ) > hoare_1708887482_state,A_198: ( hoare_1708887482_state > $o ) > $o,B_132: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ B_132 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_132 @ ( image_27005066_state @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( ord_le1728773982te_o_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite1329924456tate_o @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_27005066_state @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_314_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: ( pname > $o ) > pname,A_198: ( pname > $o ) > $o,B_132: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ B_132 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_132 @ ( image_pname_o_pname @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( ord_le1205211808me_o_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite297249702name_o @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_pname_o_pname @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_315_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: ( hoare_1708887482_state > $o ) > pname,A_198: ( hoare_1708887482_state > $o ) > $o,B_132: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ B_132 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_132 @ ( image_2051418740_pname @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( ord_le1728773982te_o_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite1329924456tate_o @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_2051418740_pname @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_316_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: hoare_1708887482_state > pname > $o,A_198: hoare_1708887482_state > $o,B_132: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ B_132 )
% 0.66/0.82 => ( ( ord_le1205211808me_o_o @ B_132 @ ( image_1552895654name_o @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite1625599783_state @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_1552895654name_o @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_317_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: hoare_1708887482_state > hoare_1708887482_state > $o,A_198: hoare_1708887482_state > $o,B_132: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ B_132 )
% 0.66/0.82 => ( ( ord_le1728773982te_o_o @ B_132 @ ( image_1551509096tate_o @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite1625599783_state @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_1551509096tate_o @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_318_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: hoare_1708887482_state > pname,A_198: hoare_1708887482_state > $o,B_132: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ B_132 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_132 @ ( image_1509414295_pname @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite1625599783_state @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_1509414295_pname @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_319_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: pname > pname > $o,A_198: pname > $o,B_132: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ B_132 )
% 0.66/0.82 => ( ( ord_le1205211808me_o_o @ B_132 @ ( image_pname_pname_o @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite_finite_pname @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_pname_pname_o @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_320_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: pname > hoare_1708887482_state > $o,A_198: pname > $o,B_132: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ B_132 )
% 0.66/0.82 => ( ( ord_le1728773982te_o_o @ B_132 @ ( image_425134806tate_o @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite_finite_pname @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_425134806tate_o @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_321_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: pname > pname,A_198: pname > $o,B_132: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ B_132 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_132 @ ( image_pname_pname @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite_finite_pname @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_pname_pname @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_322_finite__subset__image,axiom,
% 0.66/0.82 ! [F_72: pname > hoare_1708887482_state,A_198: pname > $o,B_132: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ B_132 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_132 @ ( image_1116629049_state @ F_72 @ A_198 ) )
% 0.66/0.82 => ? [C_61: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ C_61 @ A_198 )
% 0.66/0.82 & ( finite_finite_pname @ C_61 )
% 0.66/0.82 & ( B_132
% 0.66/0.82 = ( image_1116629049_state @ F_72 @ C_61 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_323_finite__dom__body,axiom,
% 0.66/0.82 finite_finite_pname @ ( dom_pname_com @ body ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_324_finite__induct,axiom,
% 0.66/0.82 ! [P_36: ( com > $o ) > $o,F_71: com > $o] :
% 0.66/0.82 ( ( finite_finite_com @ F_71 )
% 0.66/0.82 => ( ( P_36 @ bot_bot_com_o )
% 0.66/0.82 => ( ! [X_3: com,F_53: com > $o] :
% 0.66/0.82 ( ( finite_finite_com @ F_53 )
% 0.66/0.82 => ( ~ ( member_com @ X_3 @ F_53 )
% 0.66/0.82 => ( ( P_36 @ F_53 )
% 0.66/0.82 => ( P_36 @ ( insert_com @ X_3 @ F_53 ) ) ) ) )
% 0.66/0.82 => ( P_36 @ F_71 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_325_finite__induct,axiom,
% 0.66/0.82 ! [P_36: ( ( pname > $o ) > $o ) > $o,F_71: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ F_71 )
% 0.66/0.82 => ( ( P_36 @ bot_bot_pname_o_o )
% 0.66/0.82 => ( ! [X_3: pname > $o,F_53: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ F_53 )
% 0.66/0.82 => ( ~ ( member_pname_o @ X_3 @ F_53 )
% 0.66/0.82 => ( ( P_36 @ F_53 )
% 0.66/0.82 => ( P_36 @ ( insert_pname_o @ X_3 @ F_53 ) ) ) ) )
% 0.66/0.82 => ( P_36 @ F_71 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_326_finite__induct,axiom,
% 0.66/0.82 ! [P_36: ( ( hoare_1708887482_state > $o ) > $o ) > $o,F_71: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ F_71 )
% 0.66/0.82 => ( ( P_36 @ bot_bo1678742418te_o_o )
% 0.66/0.82 => ( ! [X_3: hoare_1708887482_state > $o,F_53: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ F_53 )
% 0.66/0.82 => ( ~ ( member814030440tate_o @ X_3 @ F_53 )
% 0.66/0.82 => ( ( P_36 @ F_53 )
% 0.66/0.82 => ( P_36 @ ( insert949073679tate_o @ X_3 @ F_53 ) ) ) ) )
% 0.66/0.82 => ( P_36 @ F_71 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_327_finite__induct,axiom,
% 0.66/0.82 ! [P_36: ( pname > $o ) > $o,F_71: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ F_71 )
% 0.66/0.82 => ( ( P_36 @ bot_bot_pname_o )
% 0.66/0.82 => ( ! [X_3: pname,F_53: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ F_53 )
% 0.66/0.82 => ( ~ ( member_pname @ X_3 @ F_53 )
% 0.66/0.82 => ( ( P_36 @ F_53 )
% 0.66/0.82 => ( P_36 @ ( insert_pname @ X_3 @ F_53 ) ) ) ) )
% 0.66/0.82 => ( P_36 @ F_71 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_328_finite__induct,axiom,
% 0.66/0.82 ! [P_36: ( hoare_1708887482_state > $o ) > $o,F_71: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ F_71 )
% 0.66/0.82 => ( ( P_36 @ bot_bo19817387tate_o )
% 0.66/0.82 => ( ! [X_3: hoare_1708887482_state,F_53: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ F_53 )
% 0.66/0.82 => ( ~ ( member451959335_state @ X_3 @ F_53 )
% 0.66/0.82 => ( ( P_36 @ F_53 )
% 0.66/0.82 => ( P_36 @ ( insert528405184_state @ X_3 @ F_53 ) ) ) ) )
% 0.66/0.82 => ( P_36 @ F_71 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_329_finite_Osimps,axiom,
% 0.66/0.82 ! [A_197: com > $o] :
% 0.66/0.82 ( ( finite_finite_com @ A_197 )
% 0.66/0.82 <=> ( ( A_197 = bot_bot_com_o )
% 0.66/0.82 | ? [A_39: com > $o,A_6: com] :
% 0.66/0.82 ( ( A_197
% 0.66/0.82 = ( insert_com @ A_6 @ A_39 ) )
% 0.66/0.82 & ( finite_finite_com @ A_39 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_330_finite_Osimps,axiom,
% 0.66/0.82 ! [A_197: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ A_197 )
% 0.66/0.82 <=> ( ( A_197 = bot_bot_pname_o_o )
% 0.66/0.82 | ? [A_39: ( pname > $o ) > $o,A_6: pname > $o] :
% 0.66/0.82 ( ( A_197
% 0.66/0.82 = ( insert_pname_o @ A_6 @ A_39 ) )
% 0.66/0.82 & ( finite297249702name_o @ A_39 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_331_finite_Osimps,axiom,
% 0.66/0.82 ! [A_197: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ A_197 )
% 0.66/0.82 <=> ( ( A_197 = bot_bo1678742418te_o_o )
% 0.66/0.82 | ? [A_39: ( hoare_1708887482_state > $o ) > $o,A_6: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_197
% 0.66/0.82 = ( insert949073679tate_o @ A_6 @ A_39 ) )
% 0.66/0.82 & ( finite1329924456tate_o @ A_39 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_332_finite_Osimps,axiom,
% 0.66/0.82 ! [A_197: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ A_197 )
% 0.66/0.82 <=> ( ( A_197 = bot_bot_pname_o )
% 0.66/0.82 | ? [A_39: pname > $o,A_6: pname] :
% 0.66/0.82 ( ( A_197
% 0.66/0.82 = ( insert_pname @ A_6 @ A_39 ) )
% 0.66/0.82 & ( finite_finite_pname @ A_39 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_333_finite_Osimps,axiom,
% 0.66/0.82 ! [A_197: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ A_197 )
% 0.66/0.82 <=> ( ( A_197 = bot_bo19817387tate_o )
% 0.66/0.82 | ? [A_39: hoare_1708887482_state > $o,A_6: hoare_1708887482_state] :
% 0.66/0.82 ( ( A_197
% 0.66/0.82 = ( insert528405184_state @ A_6 @ A_39 ) )
% 0.66/0.82 & ( finite1625599783_state @ A_39 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_334_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: com > hoare_1708887482_state,A_196: com > $o] :
% 0.66/0.82 ( ~ ( finite_finite_com @ A_196 )
% 0.66/0.82 => ( ( finite1625599783_state @ ( image_934102463_state @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: com] :
% 0.66/0.82 ( ( member_com @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite_finite_com
% 0.66/0.82 @ ( collect_com
% 0.66/0.82 @ ^ [A_6: com] :
% 0.66/0.82 ( (&) @ ( member_com @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_335_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: hoare_1708887482_state > hoare_1708887482_state,A_196: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ~ ( finite1625599783_state @ A_196 )
% 0.66/0.82 => ( ( finite1625599783_state @ ( image_757158439_state @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite1625599783_state
% 0.66/0.82 @ ( collec1568722789_state
% 0.66/0.82 @ ^ [A_6: hoare_1708887482_state] :
% 0.66/0.82 ( (&) @ ( member451959335_state @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_336_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: ( pname > $o ) > hoare_1708887482_state,A_196: ( pname > $o ) > $o] :
% 0.66/0.82 ( ~ ( finite297249702name_o @ A_196 )
% 0.66/0.82 => ( ( finite1625599783_state @ ( image_1922967206_state @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: pname > $o] :
% 0.66/0.82 ( ( member_pname_o @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite297249702name_o
% 0.66/0.82 @ ( collect_pname_o
% 0.66/0.82 @ ^ [A_6: pname > $o] :
% 0.66/0.82 ( (&) @ ( member_pname_o @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_337_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: ( hoare_1708887482_state > $o ) > hoare_1708887482_state,A_196: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ~ ( finite1329924456tate_o @ A_196 )
% 0.66/0.82 => ( ( finite1625599783_state @ ( image_27005066_state @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member814030440tate_o @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite1329924456tate_o
% 0.66/0.82 @ ( collec219771562tate_o
% 0.66/0.82 @ ^ [A_6: hoare_1708887482_state > $o] :
% 0.66/0.82 ( (&) @ ( member814030440tate_o @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_338_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: com > pname,A_196: com > $o] :
% 0.66/0.82 ( ~ ( finite_finite_com @ A_196 )
% 0.66/0.82 => ( ( finite_finite_pname @ ( image_com_pname @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: com] :
% 0.66/0.82 ( ( member_com @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite_finite_com
% 0.66/0.82 @ ( collect_com
% 0.66/0.82 @ ^ [A_6: com] :
% 0.66/0.82 ( (&) @ ( member_com @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_339_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: hoare_1708887482_state > pname,A_196: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ~ ( finite1625599783_state @ A_196 )
% 0.66/0.82 => ( ( finite_finite_pname @ ( image_1509414295_pname @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite1625599783_state
% 0.66/0.82 @ ( collec1568722789_state
% 0.66/0.82 @ ^ [A_6: hoare_1708887482_state] :
% 0.66/0.82 ( (&) @ ( member451959335_state @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_340_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: pname > pname,A_196: pname > $o] :
% 0.66/0.82 ( ~ ( finite_finite_pname @ A_196 )
% 0.66/0.82 => ( ( finite_finite_pname @ ( image_pname_pname @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite_finite_pname
% 0.66/0.82 @ ( collect_pname
% 0.66/0.82 @ ^ [A_6: pname] :
% 0.66/0.82 ( (&) @ ( member_pname @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_341_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: ( pname > $o ) > pname,A_196: ( pname > $o ) > $o] :
% 0.66/0.82 ( ~ ( finite297249702name_o @ A_196 )
% 0.66/0.82 => ( ( finite_finite_pname @ ( image_pname_o_pname @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: pname > $o] :
% 0.66/0.82 ( ( member_pname_o @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite297249702name_o
% 0.66/0.82 @ ( collect_pname_o
% 0.66/0.82 @ ^ [A_6: pname > $o] :
% 0.66/0.82 ( (&) @ ( member_pname_o @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_342_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: ( hoare_1708887482_state > $o ) > pname,A_196: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ~ ( finite1329924456tate_o @ A_196 )
% 0.66/0.82 => ( ( finite_finite_pname @ ( image_2051418740_pname @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member814030440tate_o @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite1329924456tate_o
% 0.66/0.82 @ ( collec219771562tate_o
% 0.66/0.82 @ ^ [A_6: hoare_1708887482_state > $o] :
% 0.66/0.82 ( (&) @ ( member814030440tate_o @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_343_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: hoare_1708887482_state > pname > $o,A_196: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ~ ( finite1625599783_state @ A_196 )
% 0.66/0.82 => ( ( finite297249702name_o @ ( image_1552895654name_o @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite1625599783_state
% 0.66/0.82 @ ( collec1568722789_state
% 0.66/0.82 @ ^ [A_6: hoare_1708887482_state] :
% 0.66/0.82 ( (&) @ ( member451959335_state @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_344_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: hoare_1708887482_state > hoare_1708887482_state > $o,A_196: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ~ ( finite1625599783_state @ A_196 )
% 0.66/0.82 => ( ( finite1329924456tate_o @ ( image_1551509096tate_o @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite1625599783_state
% 0.66/0.82 @ ( collec1568722789_state
% 0.66/0.82 @ ^ [A_6: hoare_1708887482_state] :
% 0.66/0.82 ( (&) @ ( member451959335_state @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_345_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: pname > pname > $o,A_196: pname > $o] :
% 0.66/0.82 ( ~ ( finite_finite_pname @ A_196 )
% 0.66/0.82 => ( ( finite297249702name_o @ ( image_pname_pname_o @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite_finite_pname
% 0.66/0.82 @ ( collect_pname
% 0.66/0.82 @ ^ [A_6: pname] :
% 0.66/0.82 ( (&) @ ( member_pname @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_346_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: pname > hoare_1708887482_state > $o,A_196: pname > $o] :
% 0.66/0.82 ( ~ ( finite_finite_pname @ A_196 )
% 0.66/0.82 => ( ( finite1329924456tate_o @ ( image_425134806tate_o @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite_finite_pname
% 0.66/0.82 @ ( collect_pname
% 0.66/0.82 @ ^ [A_6: pname] :
% 0.66/0.82 ( (&) @ ( member_pname @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_347_pigeonhole__infinite,axiom,
% 0.66/0.82 ! [F_70: pname > hoare_1708887482_state,A_196: pname > $o] :
% 0.66/0.82 ( ~ ( finite_finite_pname @ A_196 )
% 0.66/0.82 => ( ( finite1625599783_state @ ( image_1116629049_state @ F_70 @ A_196 ) )
% 0.66/0.82 => ? [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_196 )
% 0.66/0.82 & ~ ( finite_finite_pname
% 0.66/0.82 @ ( collect_pname
% 0.66/0.82 @ ^ [A_6: pname] :
% 0.66/0.82 ( (&) @ ( member_pname @ A_6 @ A_196 )
% 0.66/0.82 @ ( ( F_70 @ A_6 )
% 0.66/0.82 = ( F_70 @ X_3 ) ) ) ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_348_com_Osimps_I6_J,axiom,
% 0.66/0.82 ! [Pname_1: pname,Pname: pname] :
% 0.66/0.82 ( ( ( body_1 @ Pname_1 )
% 0.66/0.82 = ( body_1 @ Pname ) )
% 0.66/0.82 <=> ( Pname_1 = Pname ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_349_MGT__Body,axiom,
% 0.66/0.82 ! [G_7: hoare_1708887482_state > $o,Procs_3: pname > $o] :
% 0.66/0.82 ( ( hoare_90032982_state
% 0.66/0.82 @ ( semila1122118281tate_o @ G_7
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
% 0.66/0.82 @ Procs_3 ) )
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( the_com @ ( body @ Pn ) ) )
% 0.66/0.82 @ Procs_3 ) )
% 0.66/0.82 => ( ( finite_finite_pname @ Procs_3 )
% 0.66/0.82 => ( hoare_90032982_state @ G_7
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
% 0.66/0.82 @ Procs_3 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_350_domD,axiom,
% 0.66/0.82 ! [A_195: com,M_4: com > option_com] :
% 0.66/0.82 ( ( member_com @ A_195 @ ( dom_com_com @ M_4 ) )
% 0.66/0.82 => ? [B_131: com] :
% 0.66/0.82 ( ( M_4 @ A_195 )
% 0.66/0.82 = ( some_com @ B_131 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_351_domD,axiom,
% 0.66/0.82 ! [A_195: hoare_1708887482_state,M_4: hoare_1708887482_state > option_pname] :
% 0.66/0.82 ( ( member451959335_state @ A_195 @ ( dom_Ho1805192458_pname @ M_4 ) )
% 0.66/0.82 => ? [B_131: pname] :
% 0.66/0.82 ( ( M_4 @ A_195 )
% 0.66/0.82 = ( some_pname @ B_131 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_352_domD,axiom,
% 0.66/0.82 ! [A_195: hoare_1708887482_state,M_4: hoare_1708887482_state > option1624383643_state] :
% 0.66/0.82 ( ( member451959335_state @ A_195 @ ( dom_Ho1703271284_state @ M_4 ) )
% 0.66/0.82 => ? [B_131: hoare_1708887482_state] :
% 0.66/0.82 ( ( M_4 @ A_195 )
% 0.66/0.82 = ( some_H1974565227_state @ B_131 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_353_domD,axiom,
% 0.66/0.82 ! [A_195: pname,M_4: pname > option_pname] :
% 0.66/0.82 ( ( member_pname @ A_195 @ ( dom_pname_pname @ M_4 ) )
% 0.66/0.82 => ? [B_131: pname] :
% 0.66/0.82 ( ( M_4 @ A_195 )
% 0.66/0.82 = ( some_pname @ B_131 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_354_domD,axiom,
% 0.66/0.82 ! [A_195: pname,M_4: pname > option1624383643_state] :
% 0.66/0.82 ( ( member_pname @ A_195 @ ( dom_pn1412407212_state @ M_4 ) )
% 0.66/0.82 => ? [B_131: hoare_1708887482_state] :
% 0.66/0.82 ( ( M_4 @ A_195 )
% 0.66/0.82 = ( some_H1974565227_state @ B_131 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_355_domD,axiom,
% 0.66/0.82 ! [A_195: pname,M_4: pname > option_com] :
% 0.66/0.82 ( ( member_pname @ A_195 @ ( dom_pname_com @ M_4 ) )
% 0.66/0.82 => ? [B_131: com] :
% 0.66/0.82 ( ( M_4 @ A_195 )
% 0.66/0.82 = ( some_com @ B_131 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_356_the__elem__eq,axiom,
% 0.66/0.82 ! [X_102: pname] :
% 0.66/0.82 ( ( the_elem_pname @ ( insert_pname @ X_102 @ bot_bot_pname_o ) )
% 0.66/0.82 = X_102 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_357_the__elem__eq,axiom,
% 0.66/0.82 ! [X_102: com] :
% 0.66/0.82 ( ( the_elem_com @ ( insert_com @ X_102 @ bot_bot_com_o ) )
% 0.66/0.82 = X_102 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_358_the__elem__eq,axiom,
% 0.66/0.82 ! [X_102: hoare_1708887482_state] :
% 0.66/0.82 ( ( the_el864710747_state @ ( insert528405184_state @ X_102 @ bot_bo19817387tate_o ) )
% 0.66/0.82 = X_102 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_359_image__subsetI,axiom,
% 0.66/0.82 ! [F_69: hoare_1708887482_state > com,B_130: com > $o,A_194: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_194 )
% 0.66/0.82 => ( member_com @ ( F_69 @ X_3 ) @ B_130 ) )
% 0.66/0.82 => ( ord_less_eq_com_o @ ( image_1604448413te_com @ F_69 @ A_194 ) @ B_130 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_360_image__subsetI,axiom,
% 0.66/0.82 ! [F_69: hoare_1708887482_state > pname,B_130: pname > $o,A_194: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_194 )
% 0.66/0.82 => ( member_pname @ ( F_69 @ X_3 ) @ B_130 ) )
% 0.66/0.82 => ( ord_less_eq_pname_o @ ( image_1509414295_pname @ F_69 @ A_194 ) @ B_130 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_361_image__subsetI,axiom,
% 0.66/0.82 ! [F_69: pname > com,B_130: com > $o,A_194: pname > $o] :
% 0.66/0.82 ( ! [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_194 )
% 0.66/0.82 => ( member_com @ ( F_69 @ X_3 ) @ B_130 ) )
% 0.66/0.82 => ( ord_less_eq_com_o @ ( image_pname_com @ F_69 @ A_194 ) @ B_130 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_362_image__subsetI,axiom,
% 0.66/0.82 ! [F_69: pname > pname,B_130: pname > $o,A_194: pname > $o] :
% 0.66/0.82 ( ! [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_194 )
% 0.66/0.82 => ( member_pname @ ( F_69 @ X_3 ) @ B_130 ) )
% 0.66/0.82 => ( ord_less_eq_pname_o @ ( image_pname_pname @ F_69 @ A_194 ) @ B_130 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_363_image__subsetI,axiom,
% 0.66/0.82 ! [F_69: com > hoare_1708887482_state,B_130: hoare_1708887482_state > $o,A_194: com > $o] :
% 0.66/0.82 ( ! [X_3: com] :
% 0.66/0.82 ( ( member_com @ X_3 @ A_194 )
% 0.66/0.82 => ( member451959335_state @ ( F_69 @ X_3 ) @ B_130 ) )
% 0.66/0.82 => ( ord_le777019615tate_o @ ( image_934102463_state @ F_69 @ A_194 ) @ B_130 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_364_image__subsetI,axiom,
% 0.66/0.82 ! [F_69: com > pname,B_130: pname > $o,A_194: com > $o] :
% 0.66/0.82 ( ! [X_3: com] :
% 0.66/0.82 ( ( member_com @ X_3 @ A_194 )
% 0.66/0.82 => ( member_pname @ ( F_69 @ X_3 ) @ B_130 ) )
% 0.66/0.82 => ( ord_less_eq_pname_o @ ( image_com_pname @ F_69 @ A_194 ) @ B_130 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_365_image__subsetI,axiom,
% 0.66/0.82 ! [F_69: pname > hoare_1708887482_state,B_130: hoare_1708887482_state > $o,A_194: pname > $o] :
% 0.66/0.82 ( ! [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_194 )
% 0.66/0.82 => ( member451959335_state @ ( F_69 @ X_3 ) @ B_130 ) )
% 0.66/0.82 => ( ord_le777019615tate_o @ ( image_1116629049_state @ F_69 @ A_194 ) @ B_130 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_366_order__refl,axiom,
% 0.66/0.82 ! [X_101: pname > $o] : ( ord_less_eq_pname_o @ X_101 @ X_101 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_367_order__refl,axiom,
% 0.66/0.82 ! [X_101: $o] : ( ord_less_eq_o @ X_101 @ X_101 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_368_order__refl,axiom,
% 0.66/0.82 ! [X_101: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ X_101 @ X_101 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_369_nonempty__iff,axiom,
% 0.66/0.82 ! [A_193: com > $o] :
% 0.66/0.82 ( ( A_193 != bot_bot_com_o )
% 0.66/0.82 <=> ? [X_3: com,B_84: com > $o] :
% 0.66/0.82 ( ( A_193
% 0.66/0.82 = ( insert_com @ X_3 @ B_84 ) )
% 0.66/0.82 & ~ ( member_com @ X_3 @ B_84 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_370_nonempty__iff,axiom,
% 0.66/0.82 ! [A_193: pname > $o] :
% 0.66/0.82 ( ( A_193 != bot_bot_pname_o )
% 0.66/0.82 <=> ? [X_3: pname,B_84: pname > $o] :
% 0.66/0.82 ( ( A_193
% 0.66/0.82 = ( insert_pname @ X_3 @ B_84 ) )
% 0.66/0.82 & ~ ( member_pname @ X_3 @ B_84 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_371_nonempty__iff,axiom,
% 0.66/0.82 ! [A_193: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_193 != bot_bo19817387tate_o )
% 0.66/0.82 <=> ? [X_3: hoare_1708887482_state,B_84: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_193
% 0.66/0.82 = ( insert528405184_state @ X_3 @ B_84 ) )
% 0.66/0.82 & ~ ( member451959335_state @ X_3 @ B_84 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_372_the_Osimps,axiom,
% 0.66/0.82 ! [X_100: pname] :
% 0.66/0.82 ( ( the_pname_1 @ ( some_pname @ X_100 ) )
% 0.66/0.82 = X_100 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_373_the_Osimps,axiom,
% 0.66/0.82 ! [X_100: hoare_1708887482_state] :
% 0.66/0.82 ( ( the_Ho963921505_state @ ( some_H1974565227_state @ X_100 ) )
% 0.66/0.82 = X_100 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_374_the_Osimps,axiom,
% 0.66/0.82 ! [X_100: com] :
% 0.66/0.82 ( ( the_com @ ( some_com @ X_100 ) )
% 0.66/0.82 = X_100 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_375_weak__Body,axiom,
% 0.66/0.82 ! [G_31: hoare_1708887482_state > $o,P_35: state > state > $o,Pn_4: pname,Q_24: state > state > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_31 @ ( insert528405184_state @ ( hoare_858012674_state @ P_35 @ ( the_com @ ( body @ Pn_4 ) ) @ Q_24 ) @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_31 @ ( insert528405184_state @ ( hoare_858012674_state @ P_35 @ ( body_1 @ Pn_4 ) @ Q_24 ) @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_376_BodyN,axiom,
% 0.66/0.82 ! [P_34: state > state > $o,Pn_3: pname,Q_23: state > state > $o,G_30: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ ( insert528405184_state @ ( hoare_858012674_state @ P_34 @ ( body_1 @ Pn_3 ) @ Q_23 ) @ G_30 ) @ ( insert528405184_state @ ( hoare_858012674_state @ P_34 @ ( the_com @ ( body @ Pn_3 ) ) @ Q_23 ) @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_30 @ ( insert528405184_state @ ( hoare_858012674_state @ P_34 @ ( body_1 @ Pn_3 ) @ Q_23 ) @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_377_state__not__singleton__def,axiom,
% 0.66/0.82 ( hoare_1160767572gleton
% 0.66/0.82 <=> ? [S_2: state,T_1: state] : ( S_2 != T_1 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_378_UnCI,axiom,
% 0.66/0.82 ! [A_192: com > $o,C_60: com,B_129: com > $o] :
% 0.66/0.82 ( ( ~ ( member_com @ C_60 @ B_129 )
% 0.66/0.82 => ( member_com @ C_60 @ A_192 ) )
% 0.66/0.82 => ( member_com @ C_60 @ ( semila1562558655_com_o @ A_192 @ B_129 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_379_UnCI,axiom,
% 0.66/0.82 ! [A_192: hoare_1708887482_state > $o,C_60: hoare_1708887482_state,B_129: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ~ ( member451959335_state @ C_60 @ B_129 )
% 0.66/0.82 => ( member451959335_state @ C_60 @ A_192 ) )
% 0.66/0.82 => ( member451959335_state @ C_60 @ ( semila1122118281tate_o @ A_192 @ B_129 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_380_UnCI,axiom,
% 0.66/0.82 ! [A_192: pname > $o,C_60: pname,B_129: pname > $o] :
% 0.66/0.82 ( ( ~ ( member_pname @ C_60 @ B_129 )
% 0.66/0.82 => ( member_pname @ C_60 @ A_192 ) )
% 0.66/0.82 => ( member_pname @ C_60 @ ( semila1780557381name_o @ A_192 @ B_129 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_381_UnE,axiom,
% 0.66/0.82 ! [C_59: com,A_191: com > $o,B_128: com > $o] :
% 0.66/0.82 ( ( member_com @ C_59 @ ( semila1562558655_com_o @ A_191 @ B_128 ) )
% 0.66/0.82 => ( ~ ( member_com @ C_59 @ A_191 )
% 0.66/0.82 => ( member_com @ C_59 @ B_128 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_382_UnE,axiom,
% 0.66/0.82 ! [C_59: hoare_1708887482_state,A_191: hoare_1708887482_state > $o,B_128: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ C_59 @ ( semila1122118281tate_o @ A_191 @ B_128 ) )
% 0.66/0.82 => ( ~ ( member451959335_state @ C_59 @ A_191 )
% 0.66/0.82 => ( member451959335_state @ C_59 @ B_128 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_383_UnE,axiom,
% 0.66/0.82 ! [C_59: pname,A_191: pname > $o,B_128: pname > $o] :
% 0.66/0.82 ( ( member_pname @ C_59 @ ( semila1780557381name_o @ A_191 @ B_128 ) )
% 0.66/0.82 => ( ~ ( member_pname @ C_59 @ A_191 )
% 0.66/0.82 => ( member_pname @ C_59 @ B_128 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_384_triple_Oinject,axiom,
% 0.66/0.82 ! [Fun1_2: state > state > $o,Com_4: com,Fun2_2: state > state > $o,Fun1_1: state > state > $o,Com_3: com,Fun2_1: state > state > $o] :
% 0.66/0.82 ( ( ( hoare_858012674_state @ Fun1_2 @ Com_4 @ Fun2_2 )
% 0.66/0.82 = ( hoare_858012674_state @ Fun1_1 @ Com_3 @ Fun2_1 ) )
% 0.66/0.82 <=> ( ( Fun1_2 = Fun1_1 )
% 0.66/0.82 & ( Com_4 = Com_3 )
% 0.66/0.82 & ( Fun2_2 = Fun2_1 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_385_UnI2,axiom,
% 0.66/0.82 ! [A_190: com > $o,C_58: com,B_127: com > $o] :
% 0.66/0.82 ( ( member_com @ C_58 @ B_127 )
% 0.66/0.82 => ( member_com @ C_58 @ ( semila1562558655_com_o @ A_190 @ B_127 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_386_UnI2,axiom,
% 0.66/0.82 ! [A_190: hoare_1708887482_state > $o,C_58: hoare_1708887482_state,B_127: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ C_58 @ B_127 )
% 0.66/0.82 => ( member451959335_state @ C_58 @ ( semila1122118281tate_o @ A_190 @ B_127 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_387_UnI2,axiom,
% 0.66/0.82 ! [A_190: pname > $o,C_58: pname,B_127: pname > $o] :
% 0.66/0.82 ( ( member_pname @ C_58 @ B_127 )
% 0.66/0.82 => ( member_pname @ C_58 @ ( semila1780557381name_o @ A_190 @ B_127 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_388_UnI1,axiom,
% 0.66/0.82 ! [B_126: com > $o,C_57: com,A_189: com > $o] :
% 0.66/0.82 ( ( member_com @ C_57 @ A_189 )
% 0.66/0.82 => ( member_com @ C_57 @ ( semila1562558655_com_o @ A_189 @ B_126 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_389_UnI1,axiom,
% 0.66/0.82 ! [B_126: hoare_1708887482_state > $o,C_57: hoare_1708887482_state,A_189: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ C_57 @ A_189 )
% 0.66/0.82 => ( member451959335_state @ C_57 @ ( semila1122118281tate_o @ A_189 @ B_126 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_390_UnI1,axiom,
% 0.66/0.82 ! [B_126: pname > $o,C_57: pname,A_189: pname > $o] :
% 0.66/0.82 ( ( member_pname @ C_57 @ A_189 )
% 0.66/0.82 => ( member_pname @ C_57 @ ( semila1780557381name_o @ A_189 @ B_126 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_391_ball__Un,axiom,
% 0.66/0.82 ! [P_33: pname > $o,A_188: pname > $o,B_125: pname > $o] :
% 0.66/0.82 ( ! [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ ( semila1780557381name_o @ A_188 @ B_125 ) )
% 0.66/0.82 => ( P_33 @ X_3 ) )
% 0.66/0.82 <=> ( ! [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_188 )
% 0.66/0.82 => ( P_33 @ X_3 ) )
% 0.66/0.82 & ! [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ B_125 )
% 0.66/0.82 => ( P_33 @ X_3 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_392_ball__Un,axiom,
% 0.66/0.82 ! [P_33: hoare_1708887482_state > $o,A_188: hoare_1708887482_state > $o,B_125: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ ( semila1122118281tate_o @ A_188 @ B_125 ) )
% 0.66/0.82 => ( P_33 @ X_3 ) )
% 0.66/0.82 <=> ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_188 )
% 0.66/0.82 => ( P_33 @ X_3 ) )
% 0.66/0.82 & ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ B_125 )
% 0.66/0.82 => ( P_33 @ X_3 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_393_bex__Un,axiom,
% 0.66/0.82 ! [P_32: pname > $o,A_187: pname > $o,B_124: pname > $o] :
% 0.66/0.82 ( ? [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ ( semila1780557381name_o @ A_187 @ B_124 ) )
% 0.66/0.82 & ( P_32 @ X_3 ) )
% 0.66/0.82 <=> ( ? [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ A_187 )
% 0.66/0.82 & ( P_32 @ X_3 ) )
% 0.66/0.82 | ? [X_3: pname] :
% 0.66/0.82 ( ( member_pname @ X_3 @ B_124 )
% 0.66/0.82 & ( P_32 @ X_3 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_394_bex__Un,axiom,
% 0.66/0.82 ! [P_32: hoare_1708887482_state > $o,A_187: hoare_1708887482_state > $o,B_124: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ? [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ ( semila1122118281tate_o @ A_187 @ B_124 ) )
% 0.66/0.82 & ( P_32 @ X_3 ) )
% 0.66/0.82 <=> ( ? [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ A_187 )
% 0.66/0.82 & ( P_32 @ X_3 ) )
% 0.66/0.82 | ? [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( member451959335_state @ X_3 @ B_124 )
% 0.66/0.82 & ( P_32 @ X_3 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_395_Un__assoc,axiom,
% 0.66/0.82 ! [A_186: pname > $o,B_123: pname > $o,C_56: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ ( semila1780557381name_o @ A_186 @ B_123 ) @ C_56 )
% 0.66/0.82 = ( semila1780557381name_o @ A_186 @ ( semila1780557381name_o @ B_123 @ C_56 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_396_Un__assoc,axiom,
% 0.66/0.82 ! [A_186: hoare_1708887482_state > $o,B_123: hoare_1708887482_state > $o,C_56: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ ( semila1122118281tate_o @ A_186 @ B_123 ) @ C_56 )
% 0.66/0.82 = ( semila1122118281tate_o @ A_186 @ ( semila1122118281tate_o @ B_123 @ C_56 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_397_Un__iff,axiom,
% 0.66/0.82 ! [C_55: com,A_185: com > $o,B_122: com > $o] :
% 0.66/0.82 ( ( member_com @ C_55 @ ( semila1562558655_com_o @ A_185 @ B_122 ) )
% 0.66/0.82 <=> ( ( member_com @ C_55 @ A_185 )
% 0.66/0.82 | ( member_com @ C_55 @ B_122 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_398_Un__iff,axiom,
% 0.66/0.82 ! [C_55: hoare_1708887482_state,A_185: hoare_1708887482_state > $o,B_122: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( member451959335_state @ C_55 @ ( semila1122118281tate_o @ A_185 @ B_122 ) )
% 0.66/0.82 <=> ( ( member451959335_state @ C_55 @ A_185 )
% 0.66/0.82 | ( member451959335_state @ C_55 @ B_122 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_399_Un__iff,axiom,
% 0.66/0.82 ! [C_55: pname,A_185: pname > $o,B_122: pname > $o] :
% 0.66/0.82 ( ( member_pname @ C_55 @ ( semila1780557381name_o @ A_185 @ B_122 ) )
% 0.66/0.82 <=> ( ( member_pname @ C_55 @ A_185 )
% 0.66/0.82 | ( member_pname @ C_55 @ B_122 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_400_Un__left__commute,axiom,
% 0.66/0.82 ! [A_184: pname > $o,B_121: pname > $o,C_54: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ A_184 @ ( semila1780557381name_o @ B_121 @ C_54 ) )
% 0.66/0.82 = ( semila1780557381name_o @ B_121 @ ( semila1780557381name_o @ A_184 @ C_54 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_401_Un__left__commute,axiom,
% 0.66/0.82 ! [A_184: hoare_1708887482_state > $o,B_121: hoare_1708887482_state > $o,C_54: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ A_184 @ ( semila1122118281tate_o @ B_121 @ C_54 ) )
% 0.66/0.82 = ( semila1122118281tate_o @ B_121 @ ( semila1122118281tate_o @ A_184 @ C_54 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_402_Un__left__absorb,axiom,
% 0.66/0.82 ! [A_183: pname > $o,B_120: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ A_183 @ ( semila1780557381name_o @ A_183 @ B_120 ) )
% 0.66/0.82 = ( semila1780557381name_o @ A_183 @ B_120 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_403_Un__left__absorb,axiom,
% 0.66/0.82 ! [A_183: hoare_1708887482_state > $o,B_120: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ A_183 @ ( semila1122118281tate_o @ A_183 @ B_120 ) )
% 0.66/0.82 = ( semila1122118281tate_o @ A_183 @ B_120 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_404_Un__commute,axiom,
% 0.66/0.82 ! [A_182: pname > $o,B_119: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ A_182 @ B_119 )
% 0.66/0.82 = ( semila1780557381name_o @ B_119 @ A_182 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_405_Un__commute,axiom,
% 0.66/0.82 ! [A_182: hoare_1708887482_state > $o,B_119: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ A_182 @ B_119 )
% 0.66/0.82 = ( semila1122118281tate_o @ B_119 @ A_182 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_406_Un__def,axiom,
% 0.66/0.82 ! [A_181: com > $o,B_118: com > $o] :
% 0.66/0.82 ( ( semila1562558655_com_o @ A_181 @ B_118 )
% 0.66/0.82 = ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : ( (|) @ ( member_com @ X_3 @ A_181 ) @ ( member_com @ X_3 @ B_118 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_407_Un__def,axiom,
% 0.66/0.82 ! [A_181: ( pname > $o ) > $o,B_118: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( semila181081674me_o_o @ A_181 @ B_118 )
% 0.66/0.82 = ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (|) @ ( member_pname_o @ X_3 @ A_181 ) @ ( member_pname_o @ X_3 @ B_118 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_408_Un__def,axiom,
% 0.66/0.82 ! [A_181: ( hoare_1708887482_state > $o ) > $o,B_118: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( semila1853742644te_o_o @ A_181 @ B_118 )
% 0.66/0.82 = ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (|) @ ( member814030440tate_o @ X_3 @ A_181 ) @ ( member814030440tate_o @ X_3 @ B_118 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_409_Un__def,axiom,
% 0.66/0.82 ! [A_181: hoare_1708887482_state > $o,B_118: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ A_181 @ B_118 )
% 0.66/0.82 = ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (|) @ ( member451959335_state @ X_3 @ A_181 ) @ ( member451959335_state @ X_3 @ B_118 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_410_Un__def,axiom,
% 0.66/0.82 ! [A_181: pname > $o,B_118: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ A_181 @ B_118 )
% 0.66/0.82 = ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (|) @ ( member_pname @ X_3 @ A_181 ) @ ( member_pname @ X_3 @ B_118 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_411_Un__absorb,axiom,
% 0.66/0.82 ! [A_180: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ A_180 @ A_180 )
% 0.66/0.82 = A_180 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_412_Un__absorb,axiom,
% 0.66/0.82 ! [A_180: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ A_180 @ A_180 )
% 0.66/0.82 = A_180 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_413_Collect__disj__eq,axiom,
% 0.66/0.82 ! [P_31: pname > $o,Q_22: pname > $o] :
% 0.66/0.82 ( ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( (|) @ ( P_31 @ X_3 ) @ ( Q_22 @ X_3 ) ) )
% 0.66/0.82 = ( semila1780557381name_o @ ( collect_pname @ P_31 ) @ ( collect_pname @ Q_22 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_414_Collect__disj__eq,axiom,
% 0.66/0.82 ! [P_31: ( pname > $o ) > $o,Q_22: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( (|) @ ( P_31 @ X_3 ) @ ( Q_22 @ X_3 ) ) )
% 0.66/0.82 = ( semila181081674me_o_o @ ( collect_pname_o @ P_31 ) @ ( collect_pname_o @ Q_22 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_415_Collect__disj__eq,axiom,
% 0.66/0.82 ! [P_31: ( hoare_1708887482_state > $o ) > $o,Q_22: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( (|) @ ( P_31 @ X_3 ) @ ( Q_22 @ X_3 ) ) )
% 0.66/0.82 = ( semila1853742644te_o_o @ ( collec219771562tate_o @ P_31 ) @ ( collec219771562tate_o @ Q_22 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_416_Collect__disj__eq,axiom,
% 0.66/0.82 ! [P_31: hoare_1708887482_state > $o,Q_22: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( (|) @ ( P_31 @ X_3 ) @ ( Q_22 @ X_3 ) ) )
% 0.66/0.82 = ( semila1122118281tate_o @ ( collec1568722789_state @ P_31 ) @ ( collec1568722789_state @ Q_22 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_417_Un__empty,axiom,
% 0.66/0.82 ! [A_179: pname > $o,B_117: pname > $o] :
% 0.66/0.82 ( ( ( semila1780557381name_o @ A_179 @ B_117 )
% 0.66/0.82 = bot_bot_pname_o )
% 0.66/0.82 <=> ( ( A_179 = bot_bot_pname_o )
% 0.66/0.82 & ( B_117 = bot_bot_pname_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_418_Un__empty,axiom,
% 0.66/0.82 ! [A_179: com > $o,B_117: com > $o] :
% 0.66/0.82 ( ( ( semila1562558655_com_o @ A_179 @ B_117 )
% 0.66/0.82 = bot_bot_com_o )
% 0.66/0.82 <=> ( ( A_179 = bot_bot_com_o )
% 0.66/0.82 & ( B_117 = bot_bot_com_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_419_Un__empty,axiom,
% 0.66/0.82 ! [A_179: hoare_1708887482_state > $o,B_117: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ( semila1122118281tate_o @ A_179 @ B_117 )
% 0.66/0.82 = bot_bo19817387tate_o )
% 0.66/0.82 <=> ( ( A_179 = bot_bo19817387tate_o )
% 0.66/0.82 & ( B_117 = bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_420_Un__empty__right,axiom,
% 0.66/0.82 ! [A_178: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ A_178 @ bot_bot_pname_o )
% 0.66/0.82 = A_178 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_421_Un__empty__right,axiom,
% 0.66/0.82 ! [A_178: com > $o] :
% 0.66/0.82 ( ( semila1562558655_com_o @ A_178 @ bot_bot_com_o )
% 0.66/0.82 = A_178 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_422_Un__empty__right,axiom,
% 0.66/0.82 ! [A_178: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ A_178 @ bot_bo19817387tate_o )
% 0.66/0.82 = A_178 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_423_Un__empty__left,axiom,
% 0.66/0.82 ! [B_116: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ bot_bot_pname_o @ B_116 )
% 0.66/0.82 = B_116 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_424_Un__empty__left,axiom,
% 0.66/0.82 ! [B_116: com > $o] :
% 0.66/0.82 ( ( semila1562558655_com_o @ bot_bot_com_o @ B_116 )
% 0.66/0.82 = B_116 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_425_Un__empty__left,axiom,
% 0.66/0.82 ! [B_116: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ bot_bo19817387tate_o @ B_116 )
% 0.66/0.82 = B_116 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_426_finite__UnI,axiom,
% 0.66/0.82 ! [G_29: ( pname > $o ) > $o,F_68: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ F_68 )
% 0.66/0.82 => ( ( finite297249702name_o @ G_29 )
% 0.66/0.82 => ( finite297249702name_o @ ( semila181081674me_o_o @ F_68 @ G_29 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_427_finite__UnI,axiom,
% 0.66/0.82 ! [G_29: ( hoare_1708887482_state > $o ) > $o,F_68: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ F_68 )
% 0.66/0.82 => ( ( finite1329924456tate_o @ G_29 )
% 0.66/0.82 => ( finite1329924456tate_o @ ( semila1853742644te_o_o @ F_68 @ G_29 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_428_finite__UnI,axiom,
% 0.66/0.82 ! [G_29: hoare_1708887482_state > $o,F_68: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ F_68 )
% 0.66/0.82 => ( ( finite1625599783_state @ G_29 )
% 0.66/0.82 => ( finite1625599783_state @ ( semila1122118281tate_o @ F_68 @ G_29 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_429_finite__UnI,axiom,
% 0.66/0.82 ! [G_29: pname > $o,F_68: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ F_68 )
% 0.66/0.82 => ( ( finite_finite_pname @ G_29 )
% 0.66/0.82 => ( finite_finite_pname @ ( semila1780557381name_o @ F_68 @ G_29 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_430_finite__Un,axiom,
% 0.66/0.82 ! [F_67: ( pname > $o ) > $o,G_28: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ ( semila181081674me_o_o @ F_67 @ G_28 ) )
% 0.66/0.82 <=> ( ( finite297249702name_o @ F_67 )
% 0.66/0.82 & ( finite297249702name_o @ G_28 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_431_finite__Un,axiom,
% 0.66/0.82 ! [F_67: ( hoare_1708887482_state > $o ) > $o,G_28: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ ( semila1853742644te_o_o @ F_67 @ G_28 ) )
% 0.66/0.82 <=> ( ( finite1329924456tate_o @ F_67 )
% 0.66/0.82 & ( finite1329924456tate_o @ G_28 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_432_finite__Un,axiom,
% 0.66/0.82 ! [F_67: hoare_1708887482_state > $o,G_28: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( finite1625599783_state @ ( semila1122118281tate_o @ F_67 @ G_28 ) )
% 0.66/0.82 <=> ( ( finite1625599783_state @ F_67 )
% 0.66/0.82 & ( finite1625599783_state @ G_28 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_433_finite__Un,axiom,
% 0.66/0.82 ! [F_67: pname > $o,G_28: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ ( semila1780557381name_o @ F_67 @ G_28 ) )
% 0.66/0.82 <=> ( ( finite_finite_pname @ F_67 )
% 0.66/0.82 & ( finite_finite_pname @ G_28 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_434_Un__insert__left,axiom,
% 0.66/0.82 ! [A_177: pname,B_115: pname > $o,C_53: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ ( insert_pname @ A_177 @ B_115 ) @ C_53 )
% 0.66/0.82 = ( insert_pname @ A_177 @ ( semila1780557381name_o @ B_115 @ C_53 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_435_Un__insert__left,axiom,
% 0.66/0.82 ! [A_177: com,B_115: com > $o,C_53: com > $o] :
% 0.66/0.82 ( ( semila1562558655_com_o @ ( insert_com @ A_177 @ B_115 ) @ C_53 )
% 0.66/0.82 = ( insert_com @ A_177 @ ( semila1562558655_com_o @ B_115 @ C_53 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_436_Un__insert__left,axiom,
% 0.66/0.82 ! [A_177: hoare_1708887482_state,B_115: hoare_1708887482_state > $o,C_53: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ ( insert528405184_state @ A_177 @ B_115 ) @ C_53 )
% 0.66/0.82 = ( insert528405184_state @ A_177 @ ( semila1122118281tate_o @ B_115 @ C_53 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_437_Un__insert__right,axiom,
% 0.66/0.82 ! [A_176: pname > $o,A_175: pname,B_114: pname > $o] :
% 0.66/0.82 ( ( semila1780557381name_o @ A_176 @ ( insert_pname @ A_175 @ B_114 ) )
% 0.66/0.82 = ( insert_pname @ A_175 @ ( semila1780557381name_o @ A_176 @ B_114 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_438_Un__insert__right,axiom,
% 0.66/0.82 ! [A_176: com > $o,A_175: com,B_114: com > $o] :
% 0.66/0.82 ( ( semila1562558655_com_o @ A_176 @ ( insert_com @ A_175 @ B_114 ) )
% 0.66/0.82 = ( insert_com @ A_175 @ ( semila1562558655_com_o @ A_176 @ B_114 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_439_Un__insert__right,axiom,
% 0.66/0.82 ! [A_176: hoare_1708887482_state > $o,A_175: hoare_1708887482_state,B_114: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( semila1122118281tate_o @ A_176 @ ( insert528405184_state @ A_175 @ B_114 ) )
% 0.66/0.82 = ( insert528405184_state @ A_175 @ ( semila1122118281tate_o @ A_176 @ B_114 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_440_Un__mono,axiom,
% 0.66/0.82 ! [B_113: pname > $o,D_5: pname > $o,A_174: pname > $o,C_52: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_174 @ C_52 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_113 @ D_5 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ ( semila1780557381name_o @ A_174 @ B_113 ) @ ( semila1780557381name_o @ C_52 @ D_5 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_441_Un__mono,axiom,
% 0.66/0.82 ! [B_113: hoare_1708887482_state > $o,D_5: hoare_1708887482_state > $o,A_174: hoare_1708887482_state > $o,C_52: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_174 @ C_52 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_113 @ D_5 )
% 0.66/0.82 => ( ord_le777019615tate_o @ ( semila1122118281tate_o @ A_174 @ B_113 ) @ ( semila1122118281tate_o @ C_52 @ D_5 ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_442_Un__least,axiom,
% 0.66/0.82 ! [B_112: pname > $o,A_173: pname > $o,C_51: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_173 @ C_51 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_112 @ C_51 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ ( semila1780557381name_o @ A_173 @ B_112 ) @ C_51 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_443_Un__least,axiom,
% 0.66/0.82 ! [B_112: hoare_1708887482_state > $o,A_173: hoare_1708887482_state > $o,C_51: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_173 @ C_51 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_112 @ C_51 )
% 0.66/0.82 => ( ord_le777019615tate_o @ ( semila1122118281tate_o @ A_173 @ B_112 ) @ C_51 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_444_Un__absorb2,axiom,
% 0.66/0.82 ! [B_111: pname > $o,A_172: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ B_111 @ A_172 )
% 0.66/0.82 => ( ( semila1780557381name_o @ A_172 @ B_111 )
% 0.66/0.82 = A_172 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_445_Un__absorb2,axiom,
% 0.66/0.82 ! [B_111: hoare_1708887482_state > $o,A_172: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ B_111 @ A_172 )
% 0.66/0.82 => ( ( semila1122118281tate_o @ A_172 @ B_111 )
% 0.66/0.82 = A_172 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_446_Un__absorb1,axiom,
% 0.66/0.82 ! [A_171: pname > $o,B_110: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_171 @ B_110 )
% 0.66/0.82 => ( ( semila1780557381name_o @ A_171 @ B_110 )
% 0.66/0.82 = B_110 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_447_Un__absorb1,axiom,
% 0.66/0.82 ! [A_171: hoare_1708887482_state > $o,B_110: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_171 @ B_110 )
% 0.66/0.82 => ( ( semila1122118281tate_o @ A_171 @ B_110 )
% 0.66/0.82 = B_110 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_448_subset__Un__eq,axiom,
% 0.66/0.82 ! [A_170: pname > $o,B_109: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_170 @ B_109 )
% 0.66/0.82 <=> ( ( semila1780557381name_o @ A_170 @ B_109 )
% 0.66/0.82 = B_109 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_449_subset__Un__eq,axiom,
% 0.66/0.82 ! [A_170: hoare_1708887482_state > $o,B_109: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_170 @ B_109 )
% 0.66/0.82 <=> ( ( semila1122118281tate_o @ A_170 @ B_109 )
% 0.66/0.82 = B_109 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_450_Un__upper2,axiom,
% 0.66/0.82 ! [B_108: pname > $o,A_169: pname > $o] : ( ord_less_eq_pname_o @ B_108 @ ( semila1780557381name_o @ A_169 @ B_108 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_451_Un__upper2,axiom,
% 0.66/0.82 ! [B_108: hoare_1708887482_state > $o,A_169: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ B_108 @ ( semila1122118281tate_o @ A_169 @ B_108 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_452_Un__upper1,axiom,
% 0.66/0.82 ! [A_168: pname > $o,B_107: pname > $o] : ( ord_less_eq_pname_o @ A_168 @ ( semila1780557381name_o @ A_168 @ B_107 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_453_Un__upper1,axiom,
% 0.66/0.82 ! [A_168: hoare_1708887482_state > $o,B_107: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ A_168 @ ( semila1122118281tate_o @ A_168 @ B_107 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_454_image__Un,axiom,
% 0.66/0.82 ! [F_66: hoare_1708887482_state > pname,A_167: hoare_1708887482_state > $o,B_106: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( image_1509414295_pname @ F_66 @ ( semila1122118281tate_o @ A_167 @ B_106 ) )
% 0.66/0.82 = ( semila1780557381name_o @ ( image_1509414295_pname @ F_66 @ A_167 ) @ ( image_1509414295_pname @ F_66 @ B_106 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_455_image__Un,axiom,
% 0.66/0.82 ! [F_66: pname > hoare_1708887482_state,A_167: pname > $o,B_106: pname > $o] :
% 0.66/0.82 ( ( image_1116629049_state @ F_66 @ ( semila1780557381name_o @ A_167 @ B_106 ) )
% 0.66/0.82 = ( semila1122118281tate_o @ ( image_1116629049_state @ F_66 @ A_167 ) @ ( image_1116629049_state @ F_66 @ B_106 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_456_insert__def,axiom,
% 0.66/0.82 ! [A_166: pname,B_105: pname > $o] :
% 0.66/0.82 ( ( insert_pname @ A_166 @ B_105 )
% 0.66/0.82 = ( semila1780557381name_o
% 0.66/0.82 @ ( collect_pname
% 0.66/0.82 @ ^ [X_3: pname] : ( X_3 = A_166 ) )
% 0.66/0.82 @ B_105 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_457_insert__def,axiom,
% 0.66/0.82 ! [A_166: com,B_105: com > $o] :
% 0.66/0.82 ( ( insert_com @ A_166 @ B_105 )
% 0.66/0.82 = ( semila1562558655_com_o
% 0.66/0.82 @ ( collect_com
% 0.66/0.82 @ ^ [X_3: com] : ( X_3 = A_166 ) )
% 0.66/0.82 @ B_105 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_458_insert__def,axiom,
% 0.66/0.82 ! [A_166: pname > $o,B_105: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( insert_pname_o @ A_166 @ B_105 )
% 0.66/0.82 = ( semila181081674me_o_o
% 0.66/0.82 @ ( collect_pname_o
% 0.66/0.82 @ ^ [X_3: pname > $o] : ( X_3 = A_166 ) )
% 0.66/0.82 @ B_105 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_459_insert__def,axiom,
% 0.66/0.82 ! [A_166: hoare_1708887482_state > $o,B_105: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( insert949073679tate_o @ A_166 @ B_105 )
% 0.66/0.82 = ( semila1853742644te_o_o
% 0.66/0.82 @ ( collec219771562tate_o
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state > $o] : ( X_3 = A_166 ) )
% 0.66/0.82 @ B_105 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_460_insert__def,axiom,
% 0.66/0.82 ! [A_166: hoare_1708887482_state,B_105: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( insert528405184_state @ A_166 @ B_105 )
% 0.66/0.82 = ( semila1122118281tate_o
% 0.66/0.82 @ ( collec1568722789_state
% 0.66/0.82 @ ^ [X_3: hoare_1708887482_state] : ( X_3 = A_166 ) )
% 0.66/0.82 @ B_105 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_461_insert__is__Un,axiom,
% 0.66/0.82 ! [A_165: pname,A_164: pname > $o] :
% 0.66/0.82 ( ( insert_pname @ A_165 @ A_164 )
% 0.66/0.82 = ( semila1780557381name_o @ ( insert_pname @ A_165 @ bot_bot_pname_o ) @ A_164 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_462_insert__is__Un,axiom,
% 0.66/0.82 ! [A_165: com,A_164: com > $o] :
% 0.66/0.82 ( ( insert_com @ A_165 @ A_164 )
% 0.66/0.82 = ( semila1562558655_com_o @ ( insert_com @ A_165 @ bot_bot_com_o ) @ A_164 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_463_insert__is__Un,axiom,
% 0.66/0.82 ! [A_165: hoare_1708887482_state,A_164: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( insert528405184_state @ A_165 @ A_164 )
% 0.66/0.82 = ( semila1122118281tate_o @ ( insert528405184_state @ A_165 @ bot_bo19817387tate_o ) @ A_164 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_464_hoare__derivs_OBody,axiom,
% 0.66/0.82 ! [G_27: hoare_1708887482_state > $o,P_30: pname > state > state > $o,Q_21: pname > state > state > $o,Procs_2: pname > $o] :
% 0.66/0.82 ( ( hoare_90032982_state
% 0.66/0.82 @ ( semila1122118281tate_o @ G_27
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [P_27: pname] : ( hoare_858012674_state @ ( P_30 @ P_27 ) @ ( body_1 @ P_27 ) @ ( Q_21 @ P_27 ) )
% 0.66/0.82 @ Procs_2 ) )
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [P_27: pname] : ( hoare_858012674_state @ ( P_30 @ P_27 ) @ ( the_com @ ( body @ P_27 ) ) @ ( Q_21 @ P_27 ) )
% 0.66/0.82 @ Procs_2 ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_27
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [P_27: pname] : ( hoare_858012674_state @ ( P_30 @ P_27 ) @ ( body_1 @ P_27 ) @ ( Q_21 @ P_27 ) )
% 0.66/0.82 @ Procs_2 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_465_xt1_I6_J,axiom,
% 0.66/0.82 ! [Z_20: pname > $o,Y_50: pname > $o,X_99: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ Y_50 @ X_99 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ Z_20 @ Y_50 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ Z_20 @ X_99 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_466_xt1_I6_J,axiom,
% 0.66/0.82 ! [Z_20: $o,Y_50: $o,X_99: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ Y_50 @ X_99 )
% 0.66/0.82 => ( ( ord_less_eq_o @ Z_20 @ Y_50 )
% 0.66/0.82 => ( ord_less_eq_o @ Z_20 @ X_99 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_467_xt1_I6_J,axiom,
% 0.66/0.82 ! [Z_20: hoare_1708887482_state > $o,Y_50: hoare_1708887482_state > $o,X_99: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ Y_50 @ X_99 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ Z_20 @ Y_50 )
% 0.66/0.82 => ( ord_le777019615tate_o @ Z_20 @ X_99 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_468_xt1_I5_J,axiom,
% 0.66/0.82 ! [Y_49: pname > $o,X_98: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ Y_49 @ X_98 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ X_98 @ Y_49 )
% 0.66/0.82 => ( X_98 = Y_49 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_469_xt1_I5_J,axiom,
% 0.66/0.82 ! [Y_49: $o,X_98: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ Y_49 @ X_98 )
% 0.66/0.82 => ( ( ord_less_eq_o @ X_98 @ Y_49 )
% 0.66/0.82 => ( X_98
% 0.66/0.82 <=> Y_49 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_470_xt1_I5_J,axiom,
% 0.66/0.82 ! [Y_49: hoare_1708887482_state > $o,X_98: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ Y_49 @ X_98 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ X_98 @ Y_49 )
% 0.66/0.82 => ( X_98 = Y_49 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_471_order__trans,axiom,
% 0.66/0.82 ! [Z_19: pname > $o,X_97: pname > $o,Y_48: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ X_97 @ Y_48 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ Y_48 @ Z_19 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ X_97 @ Z_19 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_472_order__trans,axiom,
% 0.66/0.82 ! [Z_19: $o,X_97: $o,Y_48: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ X_97 @ Y_48 )
% 0.66/0.82 => ( ( ord_less_eq_o @ Y_48 @ Z_19 )
% 0.66/0.82 => ( ord_less_eq_o @ X_97 @ Z_19 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_473_order__trans,axiom,
% 0.66/0.82 ! [Z_19: hoare_1708887482_state > $o,X_97: hoare_1708887482_state > $o,Y_48: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ X_97 @ Y_48 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ Y_48 @ Z_19 )
% 0.66/0.82 => ( ord_le777019615tate_o @ X_97 @ Z_19 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_474_order__antisym,axiom,
% 0.66/0.82 ! [X_96: pname > $o,Y_47: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ X_96 @ Y_47 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ Y_47 @ X_96 )
% 0.66/0.82 => ( X_96 = Y_47 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_475_order__antisym,axiom,
% 0.66/0.82 ! [X_96: $o,Y_47: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ X_96 @ Y_47 )
% 0.66/0.82 => ( ( ord_less_eq_o @ Y_47 @ X_96 )
% 0.66/0.82 => ( X_96
% 0.66/0.82 <=> Y_47 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_476_order__antisym,axiom,
% 0.66/0.82 ! [X_96: hoare_1708887482_state > $o,Y_47: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ X_96 @ Y_47 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ Y_47 @ X_96 )
% 0.66/0.82 => ( X_96 = Y_47 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_477_xt1_I4_J,axiom,
% 0.66/0.82 ! [C_50: pname > $o,B_104: pname > $o,A_163: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ B_104 @ A_163 )
% 0.66/0.82 => ( ( B_104 = C_50 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ C_50 @ A_163 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_478_xt1_I4_J,axiom,
% 0.66/0.82 ! [C_50: $o,B_104: $o,A_163: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ B_104 @ A_163 )
% 0.66/0.82 => ( ( B_104
% 0.66/0.82 <=> C_50 )
% 0.66/0.82 => ( ord_less_eq_o @ C_50 @ A_163 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_479_xt1_I4_J,axiom,
% 0.66/0.82 ! [C_50: hoare_1708887482_state > $o,B_104: hoare_1708887482_state > $o,A_163: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ B_104 @ A_163 )
% 0.66/0.82 => ( ( B_104 = C_50 )
% 0.66/0.82 => ( ord_le777019615tate_o @ C_50 @ A_163 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_480_ord__le__eq__trans,axiom,
% 0.66/0.82 ! [C_49: pname > $o,A_162: pname > $o,B_103: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_162 @ B_103 )
% 0.66/0.82 => ( ( B_103 = C_49 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ A_162 @ C_49 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_481_ord__le__eq__trans,axiom,
% 0.66/0.82 ! [C_49: $o,A_162: $o,B_103: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ A_162 @ B_103 )
% 0.66/0.82 => ( ( B_103
% 0.66/0.82 <=> C_49 )
% 0.66/0.82 => ( ord_less_eq_o @ A_162 @ C_49 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_482_ord__le__eq__trans,axiom,
% 0.66/0.82 ! [C_49: hoare_1708887482_state > $o,A_162: hoare_1708887482_state > $o,B_103: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_162 @ B_103 )
% 0.66/0.82 => ( ( B_103 = C_49 )
% 0.66/0.82 => ( ord_le777019615tate_o @ A_162 @ C_49 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_483_xt1_I3_J,axiom,
% 0.66/0.82 ! [C_48: pname > $o,A_161: pname > $o,B_102: pname > $o] :
% 0.66/0.82 ( ( A_161 = B_102 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ C_48 @ B_102 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ C_48 @ A_161 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_484_xt1_I3_J,axiom,
% 0.66/0.82 ! [C_48: $o,B_102: $o,A_161: $o] :
% 0.66/0.82 ( ( A_161
% 0.66/0.82 <=> B_102 )
% 0.66/0.82 => ( ( ord_less_eq_o @ C_48 @ B_102 )
% 0.66/0.82 => ( ord_less_eq_o @ C_48 @ A_161 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_485_xt1_I3_J,axiom,
% 0.66/0.82 ! [C_48: hoare_1708887482_state > $o,A_161: hoare_1708887482_state > $o,B_102: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_161 = B_102 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ C_48 @ B_102 )
% 0.66/0.82 => ( ord_le777019615tate_o @ C_48 @ A_161 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_486_ord__eq__le__trans,axiom,
% 0.66/0.82 ! [C_47: pname > $o,A_160: pname > $o,B_101: pname > $o] :
% 0.66/0.82 ( ( A_160 = B_101 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ B_101 @ C_47 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ A_160 @ C_47 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_487_ord__eq__le__trans,axiom,
% 0.66/0.82 ! [C_47: $o,B_101: $o,A_160: $o] :
% 0.66/0.82 ( ( A_160
% 0.66/0.82 <=> B_101 )
% 0.66/0.82 => ( ( ord_less_eq_o @ B_101 @ C_47 )
% 0.66/0.82 => ( ord_less_eq_o @ A_160 @ C_47 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_488_ord__eq__le__trans,axiom,
% 0.66/0.82 ! [C_47: hoare_1708887482_state > $o,A_160: hoare_1708887482_state > $o,B_101: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( A_160 = B_101 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ B_101 @ C_47 )
% 0.66/0.82 => ( ord_le777019615tate_o @ A_160 @ C_47 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_489_order__antisym__conv,axiom,
% 0.66/0.82 ! [Y_46: pname > $o,X_95: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ Y_46 @ X_95 )
% 0.66/0.82 => ( ( ord_less_eq_pname_o @ X_95 @ Y_46 )
% 0.66/0.82 <=> ( X_95 = Y_46 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_490_order__antisym__conv,axiom,
% 0.66/0.82 ! [Y_46: $o,X_95: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ Y_46 @ X_95 )
% 0.66/0.82 => ( ( ord_less_eq_o @ X_95 @ Y_46 )
% 0.66/0.82 <=> ( X_95
% 0.66/0.82 <=> Y_46 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_491_order__antisym__conv,axiom,
% 0.66/0.82 ! [Y_46: hoare_1708887482_state > $o,X_95: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ Y_46 @ X_95 )
% 0.66/0.82 => ( ( ord_le777019615tate_o @ X_95 @ Y_46 )
% 0.66/0.82 <=> ( X_95 = Y_46 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_492_order__eq__refl,axiom,
% 0.66/0.82 ! [X_94: pname > $o,Y_45: pname > $o] :
% 0.66/0.82 ( ( X_94 = Y_45 )
% 0.66/0.82 => ( ord_less_eq_pname_o @ X_94 @ Y_45 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_493_order__eq__refl,axiom,
% 0.66/0.82 ! [Y_45: $o,X_94: $o] :
% 0.66/0.82 ( ( X_94
% 0.66/0.82 <=> Y_45 )
% 0.66/0.82 => ( ord_less_eq_o @ X_94 @ Y_45 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_494_order__eq__refl,axiom,
% 0.66/0.82 ! [X_94: hoare_1708887482_state > $o,Y_45: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( X_94 = Y_45 )
% 0.66/0.82 => ( ord_le777019615tate_o @ X_94 @ Y_45 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_495_order__eq__iff,axiom,
% 0.66/0.82 ! [X_93: pname > $o,Y_44: pname > $o] :
% 0.66/0.82 ( ( X_93 = Y_44 )
% 0.66/0.82 <=> ( ( ord_less_eq_pname_o @ X_93 @ Y_44 )
% 0.66/0.82 & ( ord_less_eq_pname_o @ Y_44 @ X_93 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_496_order__eq__iff,axiom,
% 0.66/0.82 ! [Y_44: $o,X_93: $o] :
% 0.66/0.82 ( ( X_93
% 0.66/0.82 <=> Y_44 )
% 0.66/0.82 <=> ( ( ord_less_eq_o @ X_93 @ Y_44 )
% 0.66/0.82 & ( ord_less_eq_o @ Y_44 @ X_93 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_497_order__eq__iff,axiom,
% 0.66/0.82 ! [X_93: hoare_1708887482_state > $o,Y_44: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( X_93 = Y_44 )
% 0.66/0.82 <=> ( ( ord_le777019615tate_o @ X_93 @ Y_44 )
% 0.66/0.82 & ( ord_le777019615tate_o @ Y_44 @ X_93 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_498_option_Oinject,axiom,
% 0.66/0.82 ! [A_159: pname,A_158: pname] :
% 0.66/0.82 ( ( ( some_pname @ A_159 )
% 0.66/0.82 = ( some_pname @ A_158 ) )
% 0.66/0.82 <=> ( A_159 = A_158 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_499_option_Oinject,axiom,
% 0.66/0.82 ! [A_159: hoare_1708887482_state,A_158: hoare_1708887482_state] :
% 0.66/0.82 ( ( ( some_H1974565227_state @ A_159 )
% 0.66/0.82 = ( some_H1974565227_state @ A_158 ) )
% 0.66/0.82 <=> ( A_159 = A_158 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_500_option_Oinject,axiom,
% 0.66/0.82 ! [A_159: com,A_158: com] :
% 0.66/0.82 ( ( ( some_com @ A_159 )
% 0.66/0.82 = ( some_com @ A_158 ) )
% 0.66/0.82 <=> ( A_159 = A_158 ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_501_constant,axiom,
% 0.66/0.82 ! [G_26: hoare_1708887482_state > $o,P_29: state > state > $o,C_46: com,Q_20: state > state > $o,C_45: $o] :
% 0.66/0.82 ( ( C_45
% 0.66/0.82 => ( hoare_90032982_state @ G_26 @ ( insert528405184_state @ ( hoare_858012674_state @ P_29 @ C_46 @ Q_20 ) @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_26
% 0.66/0.82 @ ( insert528405184_state
% 0.66/0.82 @ ( hoare_858012674_state
% 0.66/0.82 @ ^ [Z_11: state,S_2: state] : ( (&) @ ( P_29 @ Z_11 @ S_2 ) @ C_45 )
% 0.66/0.82 @ C_46
% 0.66/0.82 @ Q_20 )
% 0.66/0.82 @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_502_Body1,axiom,
% 0.66/0.82 ! [Pn_2: pname,G_25: hoare_1708887482_state > $o,P_28: pname > state > state > $o,Q_19: pname > state > state > $o,Procs_1: pname > $o] :
% 0.66/0.82 ( ( hoare_90032982_state
% 0.66/0.82 @ ( semila1122118281tate_o @ G_25
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [P_27: pname] : ( hoare_858012674_state @ ( P_28 @ P_27 ) @ ( body_1 @ P_27 ) @ ( Q_19 @ P_27 ) )
% 0.66/0.82 @ Procs_1 ) )
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [P_27: pname] : ( hoare_858012674_state @ ( P_28 @ P_27 ) @ ( the_com @ ( body @ P_27 ) ) @ ( Q_19 @ P_27 ) )
% 0.66/0.82 @ Procs_1 ) )
% 0.66/0.82 => ( ( member_pname @ Pn_2 @ Procs_1 )
% 0.66/0.82 => ( hoare_90032982_state @ G_25 @ ( insert528405184_state @ ( hoare_858012674_state @ ( P_28 @ Pn_2 ) @ ( body_1 @ Pn_2 ) @ ( Q_19 @ Pn_2 ) ) @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_503_le__bot,axiom,
% 0.66/0.82 ! [A_157: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_157 @ bot_bot_pname_o )
% 0.66/0.82 => ( A_157 = bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_504_le__bot,axiom,
% 0.66/0.82 ! [A_157: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ A_157 @ bot_bot_com_o )
% 0.66/0.82 => ( A_157 = bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_505_le__bot,axiom,
% 0.66/0.82 ! [A_157: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ A_157 @ bot_bot_o )
% 0.66/0.82 => ( A_157
% 0.66/0.82 <=> bot_bot_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_506_le__bot,axiom,
% 0.66/0.82 ! [A_157: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_157 @ bot_bo19817387tate_o )
% 0.66/0.82 => ( A_157 = bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_507_bot__unique,axiom,
% 0.66/0.82 ! [A_156: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ A_156 @ bot_bot_pname_o )
% 0.66/0.82 <=> ( A_156 = bot_bot_pname_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_508_bot__unique,axiom,
% 0.66/0.82 ! [A_156: com > $o] :
% 0.66/0.82 ( ( ord_less_eq_com_o @ A_156 @ bot_bot_com_o )
% 0.66/0.82 <=> ( A_156 = bot_bot_com_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_509_bot__unique,axiom,
% 0.66/0.82 ! [A_156: $o] :
% 0.66/0.82 ( ( ord_less_eq_o @ A_156 @ bot_bot_o )
% 0.66/0.82 <=> ( A_156
% 0.66/0.82 <=> bot_bot_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_510_bot__unique,axiom,
% 0.66/0.82 ! [A_156: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ A_156 @ bot_bo19817387tate_o )
% 0.66/0.82 <=> ( A_156 = bot_bo19817387tate_o ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_511_bot__least,axiom,
% 0.66/0.82 ! [A_155: pname > $o] : ( ord_less_eq_pname_o @ bot_bot_pname_o @ A_155 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_512_bot__least,axiom,
% 0.66/0.82 ! [A_155: com > $o] : ( ord_less_eq_com_o @ bot_bot_com_o @ A_155 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_513_bot__least,axiom,
% 0.66/0.82 ! [A_155: $o] : ( ord_less_eq_o @ bot_bot_o @ A_155 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_514_bot__least,axiom,
% 0.66/0.82 ! [A_155: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ bot_bo19817387tate_o @ A_155 ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_515_le__funE,axiom,
% 0.66/0.82 ! [X_92: pname,F_65: pname > $o,G_24: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ F_65 @ G_24 )
% 0.66/0.82 => ( ord_less_eq_o @ ( F_65 @ X_92 ) @ ( G_24 @ X_92 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_516_le__funE,axiom,
% 0.66/0.82 ! [X_92: hoare_1708887482_state,F_65: hoare_1708887482_state > $o,G_24: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ F_65 @ G_24 )
% 0.66/0.82 => ( ord_less_eq_o @ ( F_65 @ X_92 ) @ ( G_24 @ X_92 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_517_le__funD,axiom,
% 0.66/0.82 ! [X_91: pname,F_64: pname > $o,G_23: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ F_64 @ G_23 )
% 0.66/0.82 => ( ord_less_eq_o @ ( F_64 @ X_91 ) @ ( G_23 @ X_91 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_518_le__funD,axiom,
% 0.66/0.82 ! [X_91: hoare_1708887482_state,F_64: hoare_1708887482_state > $o,G_23: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ F_64 @ G_23 )
% 0.66/0.82 => ( ord_less_eq_o @ ( F_64 @ X_91 ) @ ( G_23 @ X_91 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_519_le__fun__def,axiom,
% 0.66/0.82 ! [F_63: pname > $o,G_22: pname > $o] :
% 0.66/0.82 ( ( ord_less_eq_pname_o @ F_63 @ G_22 )
% 0.66/0.82 <=> ! [X_3: pname] : ( ord_less_eq_o @ ( F_63 @ X_3 ) @ ( G_22 @ X_3 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_520_le__fun__def,axiom,
% 0.66/0.82 ! [F_63: hoare_1708887482_state > $o,G_22: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( ord_le777019615tate_o @ F_63 @ G_22 )
% 0.66/0.82 <=> ! [X_3: hoare_1708887482_state] : ( ord_less_eq_o @ ( F_63 @ X_3 ) @ ( G_22 @ X_3 ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_521_bot__apply,axiom,
% 0.66/0.82 ! [X_90: pname] :
% 0.66/0.82 ( ( bot_bot_pname_o @ X_90 )
% 0.66/0.82 <=> bot_bot_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_522_bot__apply,axiom,
% 0.66/0.82 ! [X_90: com] :
% 0.66/0.82 ( ( bot_bot_com_o @ X_90 )
% 0.66/0.82 <=> bot_bot_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_523_bot__apply,axiom,
% 0.66/0.82 ! [X_90: hoare_1708887482_state] :
% 0.66/0.82 ( ( bot_bo19817387tate_o @ X_90 )
% 0.66/0.82 <=> bot_bot_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_524_bot__fun__def,axiom,
% 0.66/0.82 ! [X_3: pname] :
% 0.66/0.82 ( ( bot_bot_pname_o @ X_3 )
% 0.66/0.82 <=> bot_bot_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_525_bot__fun__def,axiom,
% 0.66/0.82 ! [X_3: com] :
% 0.66/0.82 ( ( bot_bot_com_o @ X_3 )
% 0.66/0.82 <=> bot_bot_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_526_bot__fun__def,axiom,
% 0.66/0.82 ! [X_3: hoare_1708887482_state] :
% 0.66/0.82 ( ( bot_bo19817387tate_o @ X_3 )
% 0.66/0.82 <=> bot_bot_o ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_527_finite__pointwise,axiom,
% 0.66/0.82 ! [P_26: ( pname > $o ) > state > state > $o,Q_18: ( pname > $o ) > state > state > $o,G_21: hoare_1708887482_state > $o,P_25: ( pname > $o ) > state > state > $o,C0_1: ( pname > $o ) > com,Q_17: ( pname > $o ) > state > state > $o,U_1: ( pname > $o ) > $o] :
% 0.66/0.82 ( ( finite297249702name_o @ U_1 )
% 0.66/0.82 => ( ! [P_27: pname > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_21 @ ( insert528405184_state @ ( hoare_858012674_state @ ( P_25 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_17 @ P_27 ) ) @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_21 @ ( insert528405184_state @ ( hoare_858012674_state @ ( P_26 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_18 @ P_27 ) ) @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 => ( ( hoare_90032982_state @ G_21
% 0.66/0.82 @ ( image_1922967206_state
% 0.66/0.82 @ ^ [P_27: pname > $o] : ( hoare_858012674_state @ ( P_25 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_17 @ P_27 ) )
% 0.66/0.82 @ U_1 ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_21
% 0.66/0.82 @ ( image_1922967206_state
% 0.66/0.82 @ ^ [P_27: pname > $o] : ( hoare_858012674_state @ ( P_26 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_18 @ P_27 ) )
% 0.66/0.82 @ U_1 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_528_finite__pointwise,axiom,
% 0.66/0.82 ! [P_26: ( hoare_1708887482_state > $o ) > state > state > $o,Q_18: ( hoare_1708887482_state > $o ) > state > state > $o,G_21: hoare_1708887482_state > $o,P_25: ( hoare_1708887482_state > $o ) > state > state > $o,C0_1: ( hoare_1708887482_state > $o ) > com,Q_17: ( hoare_1708887482_state > $o ) > state > state > $o,U_1: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.82 ( ( finite1329924456tate_o @ U_1 )
% 0.66/0.82 => ( ! [P_27: hoare_1708887482_state > $o] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_21 @ ( insert528405184_state @ ( hoare_858012674_state @ ( P_25 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_17 @ P_27 ) ) @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_21 @ ( insert528405184_state @ ( hoare_858012674_state @ ( P_26 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_18 @ P_27 ) ) @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 => ( ( hoare_90032982_state @ G_21
% 0.66/0.82 @ ( image_27005066_state
% 0.66/0.82 @ ^ [P_27: hoare_1708887482_state > $o] : ( hoare_858012674_state @ ( P_25 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_17 @ P_27 ) )
% 0.66/0.82 @ U_1 ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_21
% 0.66/0.82 @ ( image_27005066_state
% 0.66/0.82 @ ^ [P_27: hoare_1708887482_state > $o] : ( hoare_858012674_state @ ( P_26 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_18 @ P_27 ) )
% 0.66/0.82 @ U_1 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_529_finite__pointwise,axiom,
% 0.66/0.82 ! [P_26: pname > state > state > $o,Q_18: pname > state > state > $o,G_21: hoare_1708887482_state > $o,P_25: pname > state > state > $o,C0_1: pname > com,Q_17: pname > state > state > $o,U_1: pname > $o] :
% 0.66/0.82 ( ( finite_finite_pname @ U_1 )
% 0.66/0.82 => ( ! [P_27: pname] :
% 0.66/0.82 ( ( hoare_90032982_state @ G_21 @ ( insert528405184_state @ ( hoare_858012674_state @ ( P_25 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_17 @ P_27 ) ) @ bot_bo19817387tate_o ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_21 @ ( insert528405184_state @ ( hoare_858012674_state @ ( P_26 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_18 @ P_27 ) ) @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 => ( ( hoare_90032982_state @ G_21
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [P_27: pname] : ( hoare_858012674_state @ ( P_25 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_17 @ P_27 ) )
% 0.66/0.82 @ U_1 ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_21
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [P_27: pname] : ( hoare_858012674_state @ ( P_26 @ P_27 ) @ ( C0_1 @ P_27 ) @ ( Q_18 @ P_27 ) )
% 0.66/0.82 @ U_1 ) ) ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_530_escape,axiom,
% 0.66/0.82 ! [G_20: hoare_1708887482_state > $o,C_44: com,Q_16: state > state > $o,P_24: state > state > $o] :
% 0.66/0.82 ( ! [Z_11: state,S_2: state] :
% 0.66/0.82 ( ( P_24 @ Z_11 @ S_2 )
% 0.66/0.82 => ( hoare_90032982_state @ G_20
% 0.66/0.82 @ ( insert528405184_state
% 0.66/0.82 @ ( hoare_858012674_state
% 0.66/0.82 @ ^ [Za: state,S_3: state] : ( S_3 = S_2 )
% 0.66/0.82 @ C_44
% 0.66/0.82 @ ^ [Z_12: state] : ( Q_16 @ Z_11 ) )
% 0.66/0.82 @ bot_bo19817387tate_o ) ) )
% 0.66/0.82 => ( hoare_90032982_state @ G_20 @ ( insert528405184_state @ ( hoare_858012674_state @ P_24 @ C_44 @ Q_16 ) @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.82
% 0.66/0.82 thf(fact_531_Body__sound__lemma,axiom,
% 0.66/0.82 ! [G_19: hoare_1708887482_state > $o,P_23: pname > state > state > $o,Q_15: pname > state > state > $o,Procs: pname > $o] :
% 0.66/0.82 ( ( hoare_496444244_state
% 0.66/0.82 @ ( semila1122118281tate_o @ G_19
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [Pn: pname] : ( hoare_858012674_state @ ( P_23 @ Pn ) @ ( body_1 @ Pn ) @ ( Q_15 @ Pn ) )
% 0.66/0.82 @ Procs ) )
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [Pn: pname] : ( hoare_858012674_state @ ( P_23 @ Pn ) @ ( the_com @ ( body @ Pn ) ) @ ( Q_15 @ Pn ) )
% 0.66/0.82 @ Procs ) )
% 0.66/0.82 => ( hoare_496444244_state @ G_19
% 0.66/0.82 @ ( image_1116629049_state
% 0.66/0.82 @ ^ [Pn: pname] : ( hoare_858012674_state @ ( P_23 @ Pn ) @ ( body_1 @ Pn ) @ ( Q_15 @ Pn ) )
% 0.66/0.83 @ Procs ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_532_conseq1,axiom,
% 0.66/0.83 ! [P_22: state > state > $o,G_18: hoare_1708887482_state > $o,P_21: state > state > $o,C_43: com,Q_14: state > state > $o] :
% 0.66/0.83 ( ( hoare_90032982_state @ G_18 @ ( insert528405184_state @ ( hoare_858012674_state @ P_21 @ C_43 @ Q_14 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( ! [Z_11: state,S_2: state] :
% 0.66/0.83 ( ( P_22 @ Z_11 @ S_2 )
% 0.66/0.83 => ( P_21 @ Z_11 @ S_2 ) )
% 0.66/0.83 => ( hoare_90032982_state @ G_18 @ ( insert528405184_state @ ( hoare_858012674_state @ P_22 @ C_43 @ Q_14 ) @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_533_conseq2,axiom,
% 0.66/0.83 ! [Q_13: state > state > $o,G_17: hoare_1708887482_state > $o,P_20: state > state > $o,C_42: com,Q_12: state > state > $o] :
% 0.66/0.83 ( ( hoare_90032982_state @ G_17 @ ( insert528405184_state @ ( hoare_858012674_state @ P_20 @ C_42 @ Q_12 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( ! [Z_11: state,S_2: state] :
% 0.66/0.83 ( ( Q_12 @ Z_11 @ S_2 )
% 0.66/0.83 => ( Q_13 @ Z_11 @ S_2 ) )
% 0.66/0.83 => ( hoare_90032982_state @ G_17 @ ( insert528405184_state @ ( hoare_858012674_state @ P_20 @ C_42 @ Q_13 ) @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_534_MGF__complete,axiom,
% 0.66/0.83 ! [P: state > state > $o,Q_11: state > state > $o,C_34: com] :
% 0.66/0.83 ( ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ C_34 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( ( hoare_496444244_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_858012674_state @ P @ C_34 @ Q_11 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( hoare_90032982_state @ bot_bo19817387tate_o @ ( insert528405184_state @ ( hoare_858012674_state @ P @ C_34 @ Q_11 ) @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_535_sup1E,axiom,
% 0.66/0.83 ! [A_154: pname > $o,B_100: pname > $o,X_89: pname] :
% 0.66/0.83 ( ( semila1780557381name_o @ A_154 @ B_100 @ X_89 )
% 0.66/0.83 => ( ~ ( A_154 @ X_89 )
% 0.66/0.83 => ( B_100 @ X_89 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_536_sup1E,axiom,
% 0.66/0.83 ! [A_154: hoare_1708887482_state > $o,B_100: hoare_1708887482_state > $o,X_89: hoare_1708887482_state] :
% 0.66/0.83 ( ( semila1122118281tate_o @ A_154 @ B_100 @ X_89 )
% 0.66/0.83 => ( ~ ( A_154 @ X_89 )
% 0.66/0.83 => ( B_100 @ X_89 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_537_sup1CI,axiom,
% 0.66/0.83 ! [A_153: pname > $o,B_99: pname > $o,X_88: pname] :
% 0.66/0.83 ( ( ~ ( B_99 @ X_88 )
% 0.66/0.83 => ( A_153 @ X_88 ) )
% 0.66/0.83 => ( semila1780557381name_o @ A_153 @ B_99 @ X_88 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_538_sup1CI,axiom,
% 0.66/0.83 ! [A_153: hoare_1708887482_state > $o,B_99: hoare_1708887482_state > $o,X_88: hoare_1708887482_state] :
% 0.66/0.83 ( ( ~ ( B_99 @ X_88 )
% 0.66/0.83 => ( A_153 @ X_88 ) )
% 0.66/0.83 => ( semila1122118281tate_o @ A_153 @ B_99 @ X_88 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_539_conseq12,axiom,
% 0.66/0.83 ! [Q_10: state > state > $o,P_19: state > state > $o,G_16: hoare_1708887482_state > $o,P_18: state > state > $o,C_41: com,Q_9: state > state > $o] :
% 0.66/0.83 ( ( hoare_90032982_state @ G_16 @ ( insert528405184_state @ ( hoare_858012674_state @ P_18 @ C_41 @ Q_9 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( ! [Z_11: state,S_2: state] :
% 0.66/0.83 ( ( P_19 @ Z_11 @ S_2 )
% 0.66/0.83 => ! [S_3: state] :
% 0.66/0.83 ( ! [Z_12: state] :
% 0.66/0.83 ( ( P_18 @ Z_12 @ S_2 )
% 0.66/0.83 => ( Q_9 @ Z_12 @ S_3 ) )
% 0.66/0.83 => ( Q_10 @ Z_11 @ S_3 ) ) )
% 0.66/0.83 => ( hoare_90032982_state @ G_16 @ ( insert528405184_state @ ( hoare_858012674_state @ P_19 @ C_41 @ Q_10 ) @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_540_hoare__sound,axiom,
% 0.66/0.83 ! [G_15: hoare_1708887482_state > $o,Ts: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( hoare_90032982_state @ G_15 @ Ts )
% 0.66/0.83 => ( hoare_496444244_state @ G_15 @ Ts ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_541_bot__empty__eq,axiom,
% 0.66/0.83 ! [X_3: com] :
% 0.66/0.83 ( ( bot_bot_com_o @ X_3 )
% 0.66/0.83 <=> ( member_com @ X_3 @ bot_bot_com_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_542_bot__empty__eq,axiom,
% 0.66/0.83 ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( bot_bo19817387tate_o @ X_3 )
% 0.66/0.83 <=> ( member451959335_state @ X_3 @ bot_bo19817387tate_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_543_bot__empty__eq,axiom,
% 0.66/0.83 ! [X_3: pname] :
% 0.66/0.83 ( ( bot_bot_pname_o @ X_3 )
% 0.66/0.83 <=> ( member_pname @ X_3 @ bot_bot_pname_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_544_rev__predicate1D,axiom,
% 0.66/0.83 ! [Q_8: pname > $o,P_17: pname > $o,X_87: pname] :
% 0.66/0.83 ( ( P_17 @ X_87 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ P_17 @ Q_8 )
% 0.66/0.83 => ( Q_8 @ X_87 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_545_rev__predicate1D,axiom,
% 0.66/0.83 ! [Q_8: hoare_1708887482_state > $o,P_17: hoare_1708887482_state > $o,X_87: hoare_1708887482_state] :
% 0.66/0.83 ( ( P_17 @ X_87 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ P_17 @ Q_8 )
% 0.66/0.83 => ( Q_8 @ X_87 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_546_predicate1D,axiom,
% 0.66/0.83 ! [X_86: pname,P_16: pname > $o,Q_7: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ P_16 @ Q_7 )
% 0.66/0.83 => ( ( P_16 @ X_86 )
% 0.66/0.83 => ( Q_7 @ X_86 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_547_predicate1D,axiom,
% 0.66/0.83 ! [X_86: hoare_1708887482_state,P_16: hoare_1708887482_state > $o,Q_7: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ P_16 @ Q_7 )
% 0.66/0.83 => ( ( P_16 @ X_86 )
% 0.66/0.83 => ( Q_7 @ X_86 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_548_sup1I2,axiom,
% 0.66/0.83 ! [A_152: pname > $o,B_98: pname > $o,X_85: pname] :
% 0.66/0.83 ( ( B_98 @ X_85 )
% 0.66/0.83 => ( semila1780557381name_o @ A_152 @ B_98 @ X_85 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_549_sup1I2,axiom,
% 0.66/0.83 ! [A_152: hoare_1708887482_state > $o,B_98: hoare_1708887482_state > $o,X_85: hoare_1708887482_state] :
% 0.66/0.83 ( ( B_98 @ X_85 )
% 0.66/0.83 => ( semila1122118281tate_o @ A_152 @ B_98 @ X_85 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_550_sup1I1,axiom,
% 0.66/0.83 ! [B_97: pname > $o,A_151: pname > $o,X_84: pname] :
% 0.66/0.83 ( ( A_151 @ X_84 )
% 0.66/0.83 => ( semila1780557381name_o @ A_151 @ B_97 @ X_84 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_551_sup1I1,axiom,
% 0.66/0.83 ! [B_97: hoare_1708887482_state > $o,A_151: hoare_1708887482_state > $o,X_84: hoare_1708887482_state] :
% 0.66/0.83 ( ( A_151 @ X_84 )
% 0.66/0.83 => ( semila1122118281tate_o @ A_151 @ B_97 @ X_84 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_552_pred__subset__eq,axiom,
% 0.66/0.83 ! [R_3: com > $o,S_6: com > $o] :
% 0.66/0.83 ( ( ord_less_eq_com_o
% 0.66/0.83 @ ^ [X_3: com] : ( member_com @ X_3 @ R_3 )
% 0.66/0.83 @ ^ [X_3: com] : ( member_com @ X_3 @ S_6 ) )
% 0.66/0.83 <=> ( ord_less_eq_com_o @ R_3 @ S_6 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_553_pred__subset__eq,axiom,
% 0.66/0.83 ! [R_3: hoare_1708887482_state > $o,S_6: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state] : ( member451959335_state @ X_3 @ R_3 )
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state] : ( member451959335_state @ X_3 @ S_6 ) )
% 0.66/0.83 <=> ( ord_le777019615tate_o @ R_3 @ S_6 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_554_pred__subset__eq,axiom,
% 0.66/0.83 ! [R_3: pname > $o,S_6: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o
% 0.66/0.83 @ ^ [X_3: pname] : ( member_pname @ X_3 @ R_3 )
% 0.66/0.83 @ ^ [X_3: pname] : ( member_pname @ X_3 @ S_6 ) )
% 0.66/0.83 <=> ( ord_less_eq_pname_o @ R_3 @ S_6 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_555_sup__Un__eq,axiom,
% 0.66/0.83 ! [R_2: com > $o,S_5: com > $o,X_3: com] :
% 0.66/0.83 ( ( semila1562558655_com_o
% 0.66/0.83 @ ^ [Y_4: com] : ( member_com @ Y_4 @ R_2 )
% 0.66/0.83 @ ^ [Y_4: com] : ( member_com @ Y_4 @ S_5 )
% 0.66/0.83 @ X_3 )
% 0.66/0.83 <=> ( member_com @ X_3 @ ( semila1562558655_com_o @ R_2 @ S_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_556_sup__Un__eq,axiom,
% 0.66/0.83 ! [R_2: hoare_1708887482_state > $o,S_5: hoare_1708887482_state > $o,X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( semila1122118281tate_o
% 0.66/0.83 @ ^ [Y_4: hoare_1708887482_state] : ( member451959335_state @ Y_4 @ R_2 )
% 0.66/0.83 @ ^ [Y_4: hoare_1708887482_state] : ( member451959335_state @ Y_4 @ S_5 )
% 0.66/0.83 @ X_3 )
% 0.66/0.83 <=> ( member451959335_state @ X_3 @ ( semila1122118281tate_o @ R_2 @ S_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_557_sup__Un__eq,axiom,
% 0.66/0.83 ! [R_2: pname > $o,S_5: pname > $o,X_3: pname] :
% 0.66/0.83 ( ( semila1780557381name_o
% 0.66/0.83 @ ^ [Y_4: pname] : ( member_pname @ Y_4 @ R_2 )
% 0.66/0.83 @ ^ [Y_4: pname] : ( member_pname @ Y_4 @ S_5 )
% 0.66/0.83 @ X_3 )
% 0.66/0.83 <=> ( member_pname @ X_3 @ ( semila1780557381name_o @ R_2 @ S_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_558_le__funI,axiom,
% 0.66/0.83 ! [F_62: pname > $o,G_14: pname > $o] :
% 0.66/0.83 ( ! [X_3: pname] : ( ord_less_eq_o @ ( F_62 @ X_3 ) @ ( G_14 @ X_3 ) )
% 0.66/0.83 => ( ord_less_eq_pname_o @ F_62 @ G_14 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_559_le__funI,axiom,
% 0.66/0.83 ! [F_62: hoare_1708887482_state > $o,G_14: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ! [X_3: hoare_1708887482_state] : ( ord_less_eq_o @ ( F_62 @ X_3 ) @ ( G_14 @ X_3 ) )
% 0.66/0.83 => ( ord_le777019615tate_o @ F_62 @ G_14 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_560_Option_Oset_Osimps_I2_J,axiom,
% 0.66/0.83 ! [X_83: pname] :
% 0.66/0.83 ( ( set_pname @ ( some_pname @ X_83 ) )
% 0.66/0.83 = ( insert_pname @ X_83 @ bot_bot_pname_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_561_Option_Oset_Osimps_I2_J,axiom,
% 0.66/0.83 ! [X_83: com] :
% 0.66/0.83 ( ( set_com @ ( some_com @ X_83 ) )
% 0.66/0.83 = ( insert_com @ X_83 @ bot_bot_com_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_562_Option_Oset_Osimps_I2_J,axiom,
% 0.66/0.83 ! [X_83: hoare_1708887482_state] :
% 0.66/0.83 ( ( set_Ho525251890_state @ ( some_H1974565227_state @ X_83 ) )
% 0.66/0.83 = ( insert528405184_state @ X_83 @ bot_bo19817387tate_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_563_sup__apply,axiom,
% 0.66/0.83 ! [F_61: pname > $o,G_13: pname > $o,X_82: pname] :
% 0.66/0.83 ( ( semila1780557381name_o @ F_61 @ G_13 @ X_82 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ ( F_61 @ X_82 ) @ ( G_13 @ X_82 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_564_sup__apply,axiom,
% 0.66/0.83 ! [F_61: hoare_1708887482_state > $o,G_13: hoare_1708887482_state > $o,X_82: hoare_1708887482_state] :
% 0.66/0.83 ( ( semila1122118281tate_o @ F_61 @ G_13 @ X_82 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ ( F_61 @ X_82 ) @ ( G_13 @ X_82 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_565_sup__fun__def,axiom,
% 0.66/0.83 ! [F_60: pname > $o,G_12: pname > $o,X_3: pname] :
% 0.66/0.83 ( ( semila1780557381name_o @ F_60 @ G_12 @ X_3 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ ( F_60 @ X_3 ) @ ( G_12 @ X_3 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_566_sup__fun__def,axiom,
% 0.66/0.83 ! [F_60: hoare_1708887482_state > $o,G_12: hoare_1708887482_state > $o,X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( semila1122118281tate_o @ F_60 @ G_12 @ X_3 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ ( F_60 @ X_3 ) @ ( G_12 @ X_3 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_567_single__stateE,axiom,
% 0.66/0.83 ( hoare_1160767572gleton
% 0.66/0.83 => ! [T_1: state] :
% 0.66/0.83 ~ ! [S_2: state] : ( S_2 = T_1 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_568_sup__eq__bot__iff,axiom,
% 0.66/0.83 ! [X_81: pname > $o,Y_43: pname > $o] :
% 0.66/0.83 ( ( ( semila1780557381name_o @ X_81 @ Y_43 )
% 0.66/0.83 = bot_bot_pname_o )
% 0.66/0.83 <=> ( ( X_81 = bot_bot_pname_o )
% 0.66/0.83 & ( Y_43 = bot_bot_pname_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_569_sup__eq__bot__iff,axiom,
% 0.66/0.83 ! [X_81: com > $o,Y_43: com > $o] :
% 0.66/0.83 ( ( ( semila1562558655_com_o @ X_81 @ Y_43 )
% 0.66/0.83 = bot_bot_com_o )
% 0.66/0.83 <=> ( ( X_81 = bot_bot_com_o )
% 0.66/0.83 & ( Y_43 = bot_bot_com_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_570_sup__eq__bot__iff,axiom,
% 0.66/0.83 ! [X_81: $o,Y_43: $o] :
% 0.66/0.83 ( ( ( semila10642723_sup_o @ X_81 @ Y_43 )
% 0.66/0.83 <=> bot_bot_o )
% 0.66/0.83 <=> ( ( X_81
% 0.66/0.83 <=> bot_bot_o )
% 0.66/0.83 & ( Y_43
% 0.66/0.83 <=> bot_bot_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_571_sup__eq__bot__iff,axiom,
% 0.66/0.83 ! [X_81: hoare_1708887482_state > $o,Y_43: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ( semila1122118281tate_o @ X_81 @ Y_43 )
% 0.66/0.83 = bot_bo19817387tate_o )
% 0.66/0.83 <=> ( ( X_81 = bot_bo19817387tate_o )
% 0.66/0.83 & ( Y_43 = bot_bo19817387tate_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_572_elem__set,axiom,
% 0.66/0.83 ! [X_80: com,Xo_1: option_com] :
% 0.66/0.83 ( ( member_com @ X_80 @ ( set_com @ Xo_1 ) )
% 0.66/0.83 <=> ( Xo_1
% 0.66/0.83 = ( some_com @ X_80 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_573_elem__set,axiom,
% 0.66/0.83 ! [X_80: hoare_1708887482_state,Xo_1: option1624383643_state] :
% 0.66/0.83 ( ( member451959335_state @ X_80 @ ( set_Ho525251890_state @ Xo_1 ) )
% 0.66/0.83 <=> ( Xo_1
% 0.66/0.83 = ( some_H1974565227_state @ X_80 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_574_elem__set,axiom,
% 0.66/0.83 ! [X_80: pname,Xo_1: option_pname] :
% 0.66/0.83 ( ( member_pname @ X_80 @ ( set_pname @ Xo_1 ) )
% 0.66/0.83 <=> ( Xo_1
% 0.66/0.83 = ( some_pname @ X_80 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_575_sup_Oidem,axiom,
% 0.66/0.83 ! [A_150: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ A_150 @ A_150 )
% 0.66/0.83 = A_150 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_576_sup_Oidem,axiom,
% 0.66/0.83 ! [A_150: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ A_150 @ A_150 )
% 0.66/0.83 <=> A_150 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_577_sup_Oidem,axiom,
% 0.66/0.83 ! [A_150: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ A_150 @ A_150 )
% 0.66/0.83 = A_150 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_578_sup__idem,axiom,
% 0.66/0.83 ! [X_79: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_79 @ X_79 )
% 0.66/0.83 = X_79 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_579_sup__idem,axiom,
% 0.66/0.83 ! [X_79: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_79 @ X_79 )
% 0.66/0.83 <=> X_79 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_580_sup__idem,axiom,
% 0.66/0.83 ! [X_79: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_79 @ X_79 )
% 0.66/0.83 = X_79 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_581_sup_Ocommute,axiom,
% 0.66/0.83 ! [A_149: pname > $o,B_96: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ A_149 @ B_96 )
% 0.66/0.83 = ( semila1780557381name_o @ B_96 @ A_149 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_582_sup_Ocommute,axiom,
% 0.66/0.83 ! [A_149: $o,B_96: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ A_149 @ B_96 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ B_96 @ A_149 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_583_sup_Ocommute,axiom,
% 0.66/0.83 ! [A_149: hoare_1708887482_state > $o,B_96: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ A_149 @ B_96 )
% 0.66/0.83 = ( semila1122118281tate_o @ B_96 @ A_149 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_584_inf__sup__aci_I5_J,axiom,
% 0.66/0.83 ! [X_78: pname > $o,Y_42: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_78 @ Y_42 )
% 0.66/0.83 = ( semila1780557381name_o @ Y_42 @ X_78 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_585_inf__sup__aci_I5_J,axiom,
% 0.66/0.83 ! [X_78: $o,Y_42: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_78 @ Y_42 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ Y_42 @ X_78 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_586_inf__sup__aci_I5_J,axiom,
% 0.66/0.83 ! [X_78: hoare_1708887482_state > $o,Y_42: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_78 @ Y_42 )
% 0.66/0.83 = ( semila1122118281tate_o @ Y_42 @ X_78 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_587_sup__commute,axiom,
% 0.66/0.83 ! [X_77: pname > $o,Y_41: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_77 @ Y_41 )
% 0.66/0.83 = ( semila1780557381name_o @ Y_41 @ X_77 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_588_sup__commute,axiom,
% 0.66/0.83 ! [X_77: $o,Y_41: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_77 @ Y_41 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ Y_41 @ X_77 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_589_sup__commute,axiom,
% 0.66/0.83 ! [X_77: hoare_1708887482_state > $o,Y_41: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_77 @ Y_41 )
% 0.66/0.83 = ( semila1122118281tate_o @ Y_41 @ X_77 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_590_sup_Oleft__idem,axiom,
% 0.66/0.83 ! [A_148: pname > $o,B_95: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ A_148 @ ( semila1780557381name_o @ A_148 @ B_95 ) )
% 0.66/0.83 = ( semila1780557381name_o @ A_148 @ B_95 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_591_sup_Oleft__idem,axiom,
% 0.66/0.83 ! [A_148: $o,B_95: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ A_148 @ ( semila10642723_sup_o @ A_148 @ B_95 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ A_148 @ B_95 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_592_sup_Oleft__idem,axiom,
% 0.66/0.83 ! [A_148: hoare_1708887482_state > $o,B_95: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ A_148 @ ( semila1122118281tate_o @ A_148 @ B_95 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ A_148 @ B_95 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_593_inf__sup__aci_I8_J,axiom,
% 0.66/0.83 ! [X_76: pname > $o,Y_40: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_76 @ ( semila1780557381name_o @ X_76 @ Y_40 ) )
% 0.66/0.83 = ( semila1780557381name_o @ X_76 @ Y_40 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_594_inf__sup__aci_I8_J,axiom,
% 0.66/0.83 ! [X_76: $o,Y_40: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_76 @ ( semila10642723_sup_o @ X_76 @ Y_40 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ X_76 @ Y_40 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_595_inf__sup__aci_I8_J,axiom,
% 0.66/0.83 ! [X_76: hoare_1708887482_state > $o,Y_40: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_76 @ ( semila1122118281tate_o @ X_76 @ Y_40 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ X_76 @ Y_40 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_596_sup__left__idem,axiom,
% 0.66/0.83 ! [X_75: pname > $o,Y_39: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_75 @ ( semila1780557381name_o @ X_75 @ Y_39 ) )
% 0.66/0.83 = ( semila1780557381name_o @ X_75 @ Y_39 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_597_sup__left__idem,axiom,
% 0.66/0.83 ! [X_75: $o,Y_39: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_75 @ ( semila10642723_sup_o @ X_75 @ Y_39 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ X_75 @ Y_39 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_598_sup__left__idem,axiom,
% 0.66/0.83 ! [X_75: hoare_1708887482_state > $o,Y_39: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_75 @ ( semila1122118281tate_o @ X_75 @ Y_39 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ X_75 @ Y_39 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_599_sup_Oleft__commute,axiom,
% 0.66/0.83 ! [B_94: pname > $o,A_147: pname > $o,C_40: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ B_94 @ ( semila1780557381name_o @ A_147 @ C_40 ) )
% 0.66/0.83 = ( semila1780557381name_o @ A_147 @ ( semila1780557381name_o @ B_94 @ C_40 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_600_sup_Oleft__commute,axiom,
% 0.66/0.83 ! [B_94: $o,A_147: $o,C_40: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ B_94 @ ( semila10642723_sup_o @ A_147 @ C_40 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ A_147 @ ( semila10642723_sup_o @ B_94 @ C_40 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_601_sup_Oleft__commute,axiom,
% 0.66/0.83 ! [B_94: hoare_1708887482_state > $o,A_147: hoare_1708887482_state > $o,C_40: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ B_94 @ ( semila1122118281tate_o @ A_147 @ C_40 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ A_147 @ ( semila1122118281tate_o @ B_94 @ C_40 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_602_inf__sup__aci_I7_J,axiom,
% 0.66/0.83 ! [X_74: pname > $o,Y_38: pname > $o,Z_18: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_74 @ ( semila1780557381name_o @ Y_38 @ Z_18 ) )
% 0.66/0.83 = ( semila1780557381name_o @ Y_38 @ ( semila1780557381name_o @ X_74 @ Z_18 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_603_inf__sup__aci_I7_J,axiom,
% 0.66/0.83 ! [X_74: $o,Y_38: $o,Z_18: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_74 @ ( semila10642723_sup_o @ Y_38 @ Z_18 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ Y_38 @ ( semila10642723_sup_o @ X_74 @ Z_18 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_604_inf__sup__aci_I7_J,axiom,
% 0.66/0.83 ! [X_74: hoare_1708887482_state > $o,Y_38: hoare_1708887482_state > $o,Z_18: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_74 @ ( semila1122118281tate_o @ Y_38 @ Z_18 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ Y_38 @ ( semila1122118281tate_o @ X_74 @ Z_18 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_605_sup__left__commute,axiom,
% 0.66/0.83 ! [X_73: pname > $o,Y_37: pname > $o,Z_17: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_73 @ ( semila1780557381name_o @ Y_37 @ Z_17 ) )
% 0.66/0.83 = ( semila1780557381name_o @ Y_37 @ ( semila1780557381name_o @ X_73 @ Z_17 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_606_sup__left__commute,axiom,
% 0.66/0.83 ! [X_73: $o,Y_37: $o,Z_17: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_73 @ ( semila10642723_sup_o @ Y_37 @ Z_17 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ Y_37 @ ( semila10642723_sup_o @ X_73 @ Z_17 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_607_sup__left__commute,axiom,
% 0.66/0.83 ! [X_73: hoare_1708887482_state > $o,Y_37: hoare_1708887482_state > $o,Z_17: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_73 @ ( semila1122118281tate_o @ Y_37 @ Z_17 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ Y_37 @ ( semila1122118281tate_o @ X_73 @ Z_17 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_608_sup_Oassoc,axiom,
% 0.66/0.83 ! [A_146: pname > $o,B_93: pname > $o,C_39: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ ( semila1780557381name_o @ A_146 @ B_93 ) @ C_39 )
% 0.66/0.83 = ( semila1780557381name_o @ A_146 @ ( semila1780557381name_o @ B_93 @ C_39 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_609_sup_Oassoc,axiom,
% 0.66/0.83 ! [A_146: $o,B_93: $o,C_39: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ ( semila10642723_sup_o @ A_146 @ B_93 ) @ C_39 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ A_146 @ ( semila10642723_sup_o @ B_93 @ C_39 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_610_sup_Oassoc,axiom,
% 0.66/0.83 ! [A_146: hoare_1708887482_state > $o,B_93: hoare_1708887482_state > $o,C_39: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ ( semila1122118281tate_o @ A_146 @ B_93 ) @ C_39 )
% 0.66/0.83 = ( semila1122118281tate_o @ A_146 @ ( semila1122118281tate_o @ B_93 @ C_39 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_611_inf__sup__aci_I6_J,axiom,
% 0.66/0.83 ! [X_72: pname > $o,Y_36: pname > $o,Z_16: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ ( semila1780557381name_o @ X_72 @ Y_36 ) @ Z_16 )
% 0.66/0.83 = ( semila1780557381name_o @ X_72 @ ( semila1780557381name_o @ Y_36 @ Z_16 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_612_inf__sup__aci_I6_J,axiom,
% 0.66/0.83 ! [X_72: $o,Y_36: $o,Z_16: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ ( semila10642723_sup_o @ X_72 @ Y_36 ) @ Z_16 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ X_72 @ ( semila10642723_sup_o @ Y_36 @ Z_16 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_613_inf__sup__aci_I6_J,axiom,
% 0.66/0.83 ! [X_72: hoare_1708887482_state > $o,Y_36: hoare_1708887482_state > $o,Z_16: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ ( semila1122118281tate_o @ X_72 @ Y_36 ) @ Z_16 )
% 0.66/0.83 = ( semila1122118281tate_o @ X_72 @ ( semila1122118281tate_o @ Y_36 @ Z_16 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_614_sup__assoc,axiom,
% 0.66/0.83 ! [X_71: pname > $o,Y_35: pname > $o,Z_15: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ ( semila1780557381name_o @ X_71 @ Y_35 ) @ Z_15 )
% 0.66/0.83 = ( semila1780557381name_o @ X_71 @ ( semila1780557381name_o @ Y_35 @ Z_15 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_615_sup__assoc,axiom,
% 0.66/0.83 ! [X_71: $o,Y_35: $o,Z_15: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ ( semila10642723_sup_o @ X_71 @ Y_35 ) @ Z_15 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ X_71 @ ( semila10642723_sup_o @ Y_35 @ Z_15 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_616_sup__assoc,axiom,
% 0.66/0.83 ! [X_71: hoare_1708887482_state > $o,Y_35: hoare_1708887482_state > $o,Z_15: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ ( semila1122118281tate_o @ X_71 @ Y_35 ) @ Z_15 )
% 0.66/0.83 = ( semila1122118281tate_o @ X_71 @ ( semila1122118281tate_o @ Y_35 @ Z_15 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_617_inf__sup__ord_I3_J,axiom,
% 0.66/0.83 ! [X_70: pname > $o,Y_34: pname > $o] : ( ord_less_eq_pname_o @ X_70 @ ( semila1780557381name_o @ X_70 @ Y_34 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_618_inf__sup__ord_I3_J,axiom,
% 0.66/0.83 ! [X_70: $o,Y_34: $o] : ( ord_less_eq_o @ X_70 @ ( semila10642723_sup_o @ X_70 @ Y_34 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_619_inf__sup__ord_I3_J,axiom,
% 0.66/0.83 ! [X_70: hoare_1708887482_state > $o,Y_34: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ X_70 @ ( semila1122118281tate_o @ X_70 @ Y_34 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_620_sup__ge1,axiom,
% 0.66/0.83 ! [X_69: pname > $o,Y_33: pname > $o] : ( ord_less_eq_pname_o @ X_69 @ ( semila1780557381name_o @ X_69 @ Y_33 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_621_sup__ge1,axiom,
% 0.66/0.83 ! [X_69: $o,Y_33: $o] : ( ord_less_eq_o @ X_69 @ ( semila10642723_sup_o @ X_69 @ Y_33 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_622_sup__ge1,axiom,
% 0.66/0.83 ! [X_69: hoare_1708887482_state > $o,Y_33: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ X_69 @ ( semila1122118281tate_o @ X_69 @ Y_33 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_623_inf__sup__ord_I4_J,axiom,
% 0.66/0.83 ! [Y_32: pname > $o,X_68: pname > $o] : ( ord_less_eq_pname_o @ Y_32 @ ( semila1780557381name_o @ X_68 @ Y_32 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_624_inf__sup__ord_I4_J,axiom,
% 0.66/0.83 ! [Y_32: $o,X_68: $o] : ( ord_less_eq_o @ Y_32 @ ( semila10642723_sup_o @ X_68 @ Y_32 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_625_inf__sup__ord_I4_J,axiom,
% 0.66/0.83 ! [Y_32: hoare_1708887482_state > $o,X_68: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ Y_32 @ ( semila1122118281tate_o @ X_68 @ Y_32 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_626_sup__ge2,axiom,
% 0.66/0.83 ! [Y_31: pname > $o,X_67: pname > $o] : ( ord_less_eq_pname_o @ Y_31 @ ( semila1780557381name_o @ X_67 @ Y_31 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_627_sup__ge2,axiom,
% 0.66/0.83 ! [Y_31: $o,X_67: $o] : ( ord_less_eq_o @ Y_31 @ ( semila10642723_sup_o @ X_67 @ Y_31 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_628_sup__ge2,axiom,
% 0.66/0.83 ! [Y_31: hoare_1708887482_state > $o,X_67: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ Y_31 @ ( semila1122118281tate_o @ X_67 @ Y_31 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_629_le__iff__sup,axiom,
% 0.66/0.83 ! [X_66: pname > $o,Y_30: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_66 @ Y_30 )
% 0.66/0.83 <=> ( ( semila1780557381name_o @ X_66 @ Y_30 )
% 0.66/0.83 = Y_30 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_630_le__iff__sup,axiom,
% 0.66/0.83 ! [X_66: $o,Y_30: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_66 @ Y_30 )
% 0.66/0.83 <=> ( ( semila10642723_sup_o @ X_66 @ Y_30 )
% 0.66/0.83 <=> Y_30 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_631_le__iff__sup,axiom,
% 0.66/0.83 ! [X_66: hoare_1708887482_state > $o,Y_30: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_66 @ Y_30 )
% 0.66/0.83 <=> ( ( semila1122118281tate_o @ X_66 @ Y_30 )
% 0.66/0.83 = Y_30 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_632_le__sup__iff,axiom,
% 0.66/0.83 ! [X_65: pname > $o,Y_29: pname > $o,Z_14: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ ( semila1780557381name_o @ X_65 @ Y_29 ) @ Z_14 )
% 0.66/0.83 <=> ( ( ord_less_eq_pname_o @ X_65 @ Z_14 )
% 0.66/0.83 & ( ord_less_eq_pname_o @ Y_29 @ Z_14 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_633_le__sup__iff,axiom,
% 0.66/0.83 ! [X_65: $o,Y_29: $o,Z_14: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ ( semila10642723_sup_o @ X_65 @ Y_29 ) @ Z_14 )
% 0.66/0.83 <=> ( ( ord_less_eq_o @ X_65 @ Z_14 )
% 0.66/0.83 & ( ord_less_eq_o @ Y_29 @ Z_14 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_634_le__sup__iff,axiom,
% 0.66/0.83 ! [X_65: hoare_1708887482_state > $o,Y_29: hoare_1708887482_state > $o,Z_14: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ ( semila1122118281tate_o @ X_65 @ Y_29 ) @ Z_14 )
% 0.66/0.83 <=> ( ( ord_le777019615tate_o @ X_65 @ Z_14 )
% 0.66/0.83 & ( ord_le777019615tate_o @ Y_29 @ Z_14 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_635_le__supI1,axiom,
% 0.66/0.83 ! [B_92: pname > $o,X_64: pname > $o,A_145: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_64 @ A_145 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ X_64 @ ( semila1780557381name_o @ A_145 @ B_92 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_636_le__supI1,axiom,
% 0.66/0.83 ! [B_92: $o,X_64: $o,A_145: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_64 @ A_145 )
% 0.66/0.83 => ( ord_less_eq_o @ X_64 @ ( semila10642723_sup_o @ A_145 @ B_92 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_637_le__supI1,axiom,
% 0.66/0.83 ! [B_92: hoare_1708887482_state > $o,X_64: hoare_1708887482_state > $o,A_145: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_64 @ A_145 )
% 0.66/0.83 => ( ord_le777019615tate_o @ X_64 @ ( semila1122118281tate_o @ A_145 @ B_92 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_638_le__supI2,axiom,
% 0.66/0.83 ! [A_144: pname > $o,X_63: pname > $o,B_91: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_63 @ B_91 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ X_63 @ ( semila1780557381name_o @ A_144 @ B_91 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_639_le__supI2,axiom,
% 0.66/0.83 ! [A_144: $o,X_63: $o,B_91: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_63 @ B_91 )
% 0.66/0.83 => ( ord_less_eq_o @ X_63 @ ( semila10642723_sup_o @ A_144 @ B_91 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_640_le__supI2,axiom,
% 0.66/0.83 ! [A_144: hoare_1708887482_state > $o,X_63: hoare_1708887482_state > $o,B_91: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_63 @ B_91 )
% 0.66/0.83 => ( ord_le777019615tate_o @ X_63 @ ( semila1122118281tate_o @ A_144 @ B_91 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_641_sup__absorb2,axiom,
% 0.66/0.83 ! [X_62: pname > $o,Y_28: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_62 @ Y_28 )
% 0.66/0.83 => ( ( semila1780557381name_o @ X_62 @ Y_28 )
% 0.66/0.83 = Y_28 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_642_sup__absorb2,axiom,
% 0.66/0.83 ! [X_62: $o,Y_28: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_62 @ Y_28 )
% 0.66/0.83 => ( ( semila10642723_sup_o @ X_62 @ Y_28 )
% 0.66/0.83 <=> Y_28 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_643_sup__absorb2,axiom,
% 0.66/0.83 ! [X_62: hoare_1708887482_state > $o,Y_28: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_62 @ Y_28 )
% 0.66/0.83 => ( ( semila1122118281tate_o @ X_62 @ Y_28 )
% 0.66/0.83 = Y_28 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_644_sup__absorb1,axiom,
% 0.66/0.83 ! [Y_27: pname > $o,X_61: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ Y_27 @ X_61 )
% 0.66/0.83 => ( ( semila1780557381name_o @ X_61 @ Y_27 )
% 0.66/0.83 = X_61 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_645_sup__absorb1,axiom,
% 0.66/0.83 ! [Y_27: $o,X_61: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ Y_27 @ X_61 )
% 0.66/0.83 => ( ( semila10642723_sup_o @ X_61 @ Y_27 )
% 0.66/0.83 <=> X_61 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_646_sup__absorb1,axiom,
% 0.66/0.83 ! [Y_27: hoare_1708887482_state > $o,X_61: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ Y_27 @ X_61 )
% 0.66/0.83 => ( ( semila1122118281tate_o @ X_61 @ Y_27 )
% 0.66/0.83 = X_61 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_647_le__supI,axiom,
% 0.66/0.83 ! [B_90: pname > $o,A_143: pname > $o,X_60: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_143 @ X_60 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ B_90 @ X_60 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1780557381name_o @ A_143 @ B_90 ) @ X_60 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_648_le__supI,axiom,
% 0.66/0.83 ! [B_90: $o,A_143: $o,X_60: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ A_143 @ X_60 )
% 0.66/0.83 => ( ( ord_less_eq_o @ B_90 @ X_60 )
% 0.66/0.83 => ( ord_less_eq_o @ ( semila10642723_sup_o @ A_143 @ B_90 ) @ X_60 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_649_le__supI,axiom,
% 0.66/0.83 ! [B_90: hoare_1708887482_state > $o,A_143: hoare_1708887482_state > $o,X_60: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_143 @ X_60 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ B_90 @ X_60 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila1122118281tate_o @ A_143 @ B_90 ) @ X_60 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_650_sup__least,axiom,
% 0.66/0.83 ! [Z_13: pname > $o,Y_26: pname > $o,X_59: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ Y_26 @ X_59 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ Z_13 @ X_59 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1780557381name_o @ Y_26 @ Z_13 ) @ X_59 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_651_sup__least,axiom,
% 0.66/0.83 ! [Z_13: $o,Y_26: $o,X_59: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ Y_26 @ X_59 )
% 0.66/0.83 => ( ( ord_less_eq_o @ Z_13 @ X_59 )
% 0.66/0.83 => ( ord_less_eq_o @ ( semila10642723_sup_o @ Y_26 @ Z_13 ) @ X_59 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_652_sup__least,axiom,
% 0.66/0.83 ! [Z_13: hoare_1708887482_state > $o,Y_26: hoare_1708887482_state > $o,X_59: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ Y_26 @ X_59 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ Z_13 @ X_59 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila1122118281tate_o @ Y_26 @ Z_13 ) @ X_59 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_653_sup__mono,axiom,
% 0.66/0.83 ! [B_89: pname > $o,D_4: pname > $o,A_142: pname > $o,C_38: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_142 @ C_38 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ B_89 @ D_4 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1780557381name_o @ A_142 @ B_89 ) @ ( semila1780557381name_o @ C_38 @ D_4 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_654_sup__mono,axiom,
% 0.66/0.83 ! [B_89: $o,D_4: $o,A_142: $o,C_38: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ A_142 @ C_38 )
% 0.66/0.83 => ( ( ord_less_eq_o @ B_89 @ D_4 )
% 0.66/0.83 => ( ord_less_eq_o @ ( semila10642723_sup_o @ A_142 @ B_89 ) @ ( semila10642723_sup_o @ C_38 @ D_4 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_655_sup__mono,axiom,
% 0.66/0.83 ! [B_89: hoare_1708887482_state > $o,D_4: hoare_1708887482_state > $o,A_142: hoare_1708887482_state > $o,C_38: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_142 @ C_38 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ B_89 @ D_4 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila1122118281tate_o @ A_142 @ B_89 ) @ ( semila1122118281tate_o @ C_38 @ D_4 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_656_le__supE,axiom,
% 0.66/0.83 ! [A_141: pname > $o,B_88: pname > $o,X_58: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ ( semila1780557381name_o @ A_141 @ B_88 ) @ X_58 )
% 0.66/0.83 => ~ ( ( ord_less_eq_pname_o @ A_141 @ X_58 )
% 0.66/0.83 => ~ ( ord_less_eq_pname_o @ B_88 @ X_58 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_657_le__supE,axiom,
% 0.66/0.83 ! [A_141: $o,B_88: $o,X_58: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ ( semila10642723_sup_o @ A_141 @ B_88 ) @ X_58 )
% 0.66/0.83 => ~ ( ( ord_less_eq_o @ A_141 @ X_58 )
% 0.66/0.83 => ~ ( ord_less_eq_o @ B_88 @ X_58 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_658_le__supE,axiom,
% 0.66/0.83 ! [A_141: hoare_1708887482_state > $o,B_88: hoare_1708887482_state > $o,X_58: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ ( semila1122118281tate_o @ A_141 @ B_88 ) @ X_58 )
% 0.66/0.83 => ~ ( ( ord_le777019615tate_o @ A_141 @ X_58 )
% 0.66/0.83 => ~ ( ord_le777019615tate_o @ B_88 @ X_58 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_659_sup__bot__left,axiom,
% 0.66/0.83 ! [X_57: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ bot_bot_pname_o @ X_57 )
% 0.66/0.83 = X_57 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_660_sup__bot__left,axiom,
% 0.66/0.83 ! [X_57: com > $o] :
% 0.66/0.83 ( ( semila1562558655_com_o @ bot_bot_com_o @ X_57 )
% 0.66/0.83 = X_57 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_661_sup__bot__left,axiom,
% 0.66/0.83 ! [X_57: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ bot_bot_o @ X_57 )
% 0.66/0.83 <=> X_57 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_662_sup__bot__left,axiom,
% 0.66/0.83 ! [X_57: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ bot_bo19817387tate_o @ X_57 )
% 0.66/0.83 = X_57 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_663_sup__bot__right,axiom,
% 0.66/0.83 ! [X_56: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_56 @ bot_bot_pname_o )
% 0.66/0.83 = X_56 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_664_sup__bot__right,axiom,
% 0.66/0.83 ! [X_56: com > $o] :
% 0.66/0.83 ( ( semila1562558655_com_o @ X_56 @ bot_bot_com_o )
% 0.66/0.83 = X_56 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_665_sup__bot__right,axiom,
% 0.66/0.83 ! [X_56: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_56 @ bot_bot_o )
% 0.66/0.83 <=> X_56 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_666_sup__bot__right,axiom,
% 0.66/0.83 ! [X_56: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_56 @ bot_bo19817387tate_o )
% 0.66/0.83 = X_56 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_667_ospec,axiom,
% 0.66/0.83 ! [X_55: pname,P_15: pname > $o,A_140: option_pname] :
% 0.66/0.83 ( ! [X_3: pname] :
% 0.66/0.83 ( ( member_pname @ X_3 @ ( set_pname @ A_140 ) )
% 0.66/0.83 => ( P_15 @ X_3 ) )
% 0.66/0.83 => ( ( A_140
% 0.66/0.83 = ( some_pname @ X_55 ) )
% 0.66/0.83 => ( P_15 @ X_55 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_668_ospec,axiom,
% 0.66/0.83 ! [X_55: hoare_1708887482_state,P_15: hoare_1708887482_state > $o,A_140: option1624383643_state] :
% 0.66/0.83 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( member451959335_state @ X_3 @ ( set_Ho525251890_state @ A_140 ) )
% 0.66/0.83 => ( P_15 @ X_3 ) )
% 0.66/0.83 => ( ( A_140
% 0.66/0.83 = ( some_H1974565227_state @ X_55 ) )
% 0.66/0.83 => ( P_15 @ X_55 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_669_ospec,axiom,
% 0.66/0.83 ! [X_55: com,P_15: com > $o,A_140: option_com] :
% 0.66/0.83 ( ! [X_3: com] :
% 0.66/0.83 ( ( member_com @ X_3 @ ( set_com @ A_140 ) )
% 0.66/0.83 => ( P_15 @ X_3 ) )
% 0.66/0.83 => ( ( A_140
% 0.66/0.83 = ( some_com @ X_55 ) )
% 0.66/0.83 => ( P_15 @ X_55 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_670_folding__one__idem_Ounion__idem,axiom,
% 0.66/0.83 ! [B_87: ( pname > $o ) > $o,A_139: ( pname > $o ) > $o,F_59: ( pname > $o ) > ( pname > $o ) > pname > $o,F_58: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite697516351name_o @ F_59 @ F_58 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_139 )
% 0.66/0.83 => ( ( A_139 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( finite297249702name_o @ B_87 )
% 0.66/0.83 => ( ( B_87 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_58 @ ( semila181081674me_o_o @ A_139 @ B_87 ) )
% 0.66/0.83 = ( F_59 @ ( F_58 @ A_139 ) @ ( F_58 @ B_87 ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_671_folding__one__idem_Ounion__idem,axiom,
% 0.66/0.83 ! [B_87: ( hoare_1708887482_state > $o ) > $o,A_139: ( hoare_1708887482_state > $o ) > $o,F_59: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_58: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite621643279tate_o @ F_59 @ F_58 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_139 )
% 0.66/0.83 => ( ( A_139 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( finite1329924456tate_o @ B_87 )
% 0.66/0.83 => ( ( B_87 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_58 @ ( semila1853742644te_o_o @ A_139 @ B_87 ) )
% 0.66/0.83 = ( F_59 @ ( F_58 @ A_139 ) @ ( F_58 @ B_87 ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_672_folding__one__idem_Ounion__idem,axiom,
% 0.66/0.83 ! [B_87: com > $o,A_139: com > $o,F_59: com > com > com,F_58: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite666746948em_com @ F_59 @ F_58 )
% 0.66/0.83 => ( ( finite_finite_com @ A_139 )
% 0.66/0.83 => ( ( A_139 != bot_bot_com_o )
% 0.66/0.83 => ( ( finite_finite_com @ B_87 )
% 0.66/0.83 => ( ( B_87 != bot_bot_com_o )
% 0.66/0.83 => ( ( F_58 @ ( semila1562558655_com_o @ A_139 @ B_87 ) )
% 0.66/0.83 = ( F_59 @ ( F_58 @ A_139 ) @ ( F_58 @ B_87 ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_673_folding__one__idem_Ounion__idem,axiom,
% 0.66/0.83 ! [B_87: hoare_1708887482_state > $o,A_139: hoare_1708887482_state > $o,F_59: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_58: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1347568576_state @ F_59 @ F_58 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_139 )
% 0.66/0.83 => ( ( A_139 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( finite1625599783_state @ B_87 )
% 0.66/0.83 => ( ( B_87 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_58 @ ( semila1122118281tate_o @ A_139 @ B_87 ) )
% 0.66/0.83 = ( F_59 @ ( F_58 @ A_139 ) @ ( F_58 @ B_87 ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_674_folding__one__idem_Ounion__idem,axiom,
% 0.66/0.83 ! [B_87: pname > $o,A_139: pname > $o,F_59: pname > pname > pname,F_58: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite89670078_pname @ F_59 @ F_58 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_139 )
% 0.66/0.83 => ( ( A_139 != bot_bot_pname_o )
% 0.66/0.83 => ( ( finite_finite_pname @ B_87 )
% 0.66/0.83 => ( ( B_87 != bot_bot_pname_o )
% 0.66/0.83 => ( ( F_58 @ ( semila1780557381name_o @ A_139 @ B_87 ) )
% 0.66/0.83 = ( F_59 @ ( F_58 @ A_139 ) @ ( F_58 @ B_87 ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_675_folding__one__idem_Osubset__idem,axiom,
% 0.66/0.83 ! [B_86: ( pname > $o ) > $o,A_138: ( pname > $o ) > $o,F_57: ( pname > $o ) > ( pname > $o ) > pname > $o,F_56: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite697516351name_o @ F_57 @ F_56 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_138 )
% 0.66/0.83 => ( ( B_86 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( ord_le1205211808me_o_o @ B_86 @ A_138 )
% 0.66/0.83 => ( ( F_57 @ ( F_56 @ B_86 ) @ ( F_56 @ A_138 ) )
% 0.66/0.83 = ( F_56 @ A_138 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_676_folding__one__idem_Osubset__idem,axiom,
% 0.66/0.83 ! [B_86: ( hoare_1708887482_state > $o ) > $o,A_138: ( hoare_1708887482_state > $o ) > $o,F_57: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_56: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite621643279tate_o @ F_57 @ F_56 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_138 )
% 0.66/0.83 => ( ( B_86 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( ord_le1728773982te_o_o @ B_86 @ A_138 )
% 0.66/0.83 => ( ( F_57 @ ( F_56 @ B_86 ) @ ( F_56 @ A_138 ) )
% 0.66/0.83 = ( F_56 @ A_138 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_677_folding__one__idem_Osubset__idem,axiom,
% 0.66/0.83 ! [B_86: com > $o,A_138: com > $o,F_57: com > com > com,F_56: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite666746948em_com @ F_57 @ F_56 )
% 0.66/0.83 => ( ( finite_finite_com @ A_138 )
% 0.66/0.83 => ( ( B_86 != bot_bot_com_o )
% 0.66/0.83 => ( ( ord_less_eq_com_o @ B_86 @ A_138 )
% 0.66/0.83 => ( ( F_57 @ ( F_56 @ B_86 ) @ ( F_56 @ A_138 ) )
% 0.66/0.83 = ( F_56 @ A_138 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_678_folding__one__idem_Osubset__idem,axiom,
% 0.66/0.83 ! [B_86: hoare_1708887482_state > $o,A_138: hoare_1708887482_state > $o,F_57: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_56: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1347568576_state @ F_57 @ F_56 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_138 )
% 0.66/0.83 => ( ( B_86 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ B_86 @ A_138 )
% 0.66/0.83 => ( ( F_57 @ ( F_56 @ B_86 ) @ ( F_56 @ A_138 ) )
% 0.66/0.83 = ( F_56 @ A_138 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_679_folding__one__idem_Osubset__idem,axiom,
% 0.66/0.83 ! [B_86: pname > $o,A_138: pname > $o,F_57: pname > pname > pname,F_56: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite89670078_pname @ F_57 @ F_56 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_138 )
% 0.66/0.83 => ( ( B_86 != bot_bot_pname_o )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ B_86 @ A_138 )
% 0.66/0.83 => ( ( F_57 @ ( F_56 @ B_86 ) @ ( F_56 @ A_138 ) )
% 0.66/0.83 = ( F_56 @ A_138 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_680_hoare__derivs_OSkip,axiom,
% 0.66/0.83 ! [G_11: hoare_1708887482_state > $o,P_14: state > state > $o] : ( hoare_90032982_state @ G_11 @ ( insert528405184_state @ ( hoare_858012674_state @ P_14 @ skip @ P_14 ) @ bot_bo19817387tate_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_681_folding__one__idem_Oinsert__idem,axiom,
% 0.66/0.83 ! [X_54: com,A_137: com > $o,F_55: com > com > com,F_54: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite666746948em_com @ F_55 @ F_54 )
% 0.66/0.83 => ( ( finite_finite_com @ A_137 )
% 0.66/0.83 => ( ( A_137 != bot_bot_com_o )
% 0.66/0.83 => ( ( F_54 @ ( insert_com @ X_54 @ A_137 ) )
% 0.66/0.83 = ( F_55 @ X_54 @ ( F_54 @ A_137 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_682_folding__one__idem_Oinsert__idem,axiom,
% 0.66/0.83 ! [X_54: pname > $o,A_137: ( pname > $o ) > $o,F_55: ( pname > $o ) > ( pname > $o ) > pname > $o,F_54: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite697516351name_o @ F_55 @ F_54 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_137 )
% 0.66/0.83 => ( ( A_137 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_54 @ ( insert_pname_o @ X_54 @ A_137 ) )
% 0.66/0.83 = ( F_55 @ X_54 @ ( F_54 @ A_137 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_683_folding__one__idem_Oinsert__idem,axiom,
% 0.66/0.83 ! [X_54: hoare_1708887482_state > $o,A_137: ( hoare_1708887482_state > $o ) > $o,F_55: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_54: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite621643279tate_o @ F_55 @ F_54 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_137 )
% 0.66/0.83 => ( ( A_137 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_54 @ ( insert949073679tate_o @ X_54 @ A_137 ) )
% 0.66/0.83 = ( F_55 @ X_54 @ ( F_54 @ A_137 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_684_folding__one__idem_Oinsert__idem,axiom,
% 0.66/0.83 ! [X_54: pname,A_137: pname > $o,F_55: pname > pname > pname,F_54: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite89670078_pname @ F_55 @ F_54 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_137 )
% 0.66/0.83 => ( ( A_137 != bot_bot_pname_o )
% 0.66/0.83 => ( ( F_54 @ ( insert_pname @ X_54 @ A_137 ) )
% 0.66/0.83 = ( F_55 @ X_54 @ ( F_54 @ A_137 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_685_folding__one__idem_Oinsert__idem,axiom,
% 0.66/0.83 ! [X_54: hoare_1708887482_state,A_137: hoare_1708887482_state > $o,F_55: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_54: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1347568576_state @ F_55 @ F_54 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_137 )
% 0.66/0.83 => ( ( A_137 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_54 @ ( insert528405184_state @ X_54 @ A_137 ) )
% 0.66/0.83 = ( F_55 @ X_54 @ ( F_54 @ A_137 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_686_finite__ne__induct,axiom,
% 0.66/0.83 ! [P_13: ( com > $o ) > $o,F_52: com > $o] :
% 0.66/0.83 ( ( finite_finite_com @ F_52 )
% 0.66/0.83 => ( ( F_52 != bot_bot_com_o )
% 0.66/0.83 => ( ! [X_3: com] : ( P_13 @ ( insert_com @ X_3 @ bot_bot_com_o ) )
% 0.66/0.83 => ( ! [X_3: com,F_53: com > $o] :
% 0.66/0.83 ( ( finite_finite_com @ F_53 )
% 0.66/0.83 => ( ( F_53 != bot_bot_com_o )
% 0.66/0.83 => ( ~ ( member_com @ X_3 @ F_53 )
% 0.66/0.83 => ( ( P_13 @ F_53 )
% 0.66/0.83 => ( P_13 @ ( insert_com @ X_3 @ F_53 ) ) ) ) ) )
% 0.66/0.83 => ( P_13 @ F_52 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_687_finite__ne__induct,axiom,
% 0.66/0.83 ! [P_13: ( ( pname > $o ) > $o ) > $o,F_52: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ F_52 )
% 0.66/0.83 => ( ( F_52 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ! [X_3: pname > $o] : ( P_13 @ ( insert_pname_o @ X_3 @ bot_bot_pname_o_o ) )
% 0.66/0.83 => ( ! [X_3: pname > $o,F_53: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ F_53 )
% 0.66/0.83 => ( ( F_53 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ~ ( member_pname_o @ X_3 @ F_53 )
% 0.66/0.83 => ( ( P_13 @ F_53 )
% 0.66/0.83 => ( P_13 @ ( insert_pname_o @ X_3 @ F_53 ) ) ) ) ) )
% 0.66/0.83 => ( P_13 @ F_52 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_688_finite__ne__induct,axiom,
% 0.66/0.83 ! [P_13: ( ( hoare_1708887482_state > $o ) > $o ) > $o,F_52: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ F_52 )
% 0.66/0.83 => ( ( F_52 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o] : ( P_13 @ ( insert949073679tate_o @ X_3 @ bot_bo1678742418te_o_o ) )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o,F_53: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ F_53 )
% 0.66/0.83 => ( ( F_53 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ~ ( member814030440tate_o @ X_3 @ F_53 )
% 0.66/0.83 => ( ( P_13 @ F_53 )
% 0.66/0.83 => ( P_13 @ ( insert949073679tate_o @ X_3 @ F_53 ) ) ) ) ) )
% 0.66/0.83 => ( P_13 @ F_52 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_689_finite__ne__induct,axiom,
% 0.66/0.83 ! [P_13: ( pname > $o ) > $o,F_52: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ F_52 )
% 0.66/0.83 => ( ( F_52 != bot_bot_pname_o )
% 0.66/0.83 => ( ! [X_3: pname] : ( P_13 @ ( insert_pname @ X_3 @ bot_bot_pname_o ) )
% 0.66/0.83 => ( ! [X_3: pname,F_53: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ F_53 )
% 0.66/0.83 => ( ( F_53 != bot_bot_pname_o )
% 0.66/0.83 => ( ~ ( member_pname @ X_3 @ F_53 )
% 0.66/0.83 => ( ( P_13 @ F_53 )
% 0.66/0.83 => ( P_13 @ ( insert_pname @ X_3 @ F_53 ) ) ) ) ) )
% 0.66/0.83 => ( P_13 @ F_52 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_690_finite__ne__induct,axiom,
% 0.66/0.83 ! [P_13: ( hoare_1708887482_state > $o ) > $o,F_52: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ F_52 )
% 0.66/0.83 => ( ( F_52 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state] : ( P_13 @ ( insert528405184_state @ X_3 @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state,F_53: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ F_53 )
% 0.66/0.83 => ( ( F_53 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ~ ( member451959335_state @ X_3 @ F_53 )
% 0.66/0.83 => ( ( P_13 @ F_53 )
% 0.66/0.83 => ( P_13 @ ( insert528405184_state @ X_3 @ F_53 ) ) ) ) ) )
% 0.66/0.83 => ( P_13 @ F_52 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_691_LoopF,axiom,
% 0.66/0.83 ! [G_10: hoare_1708887482_state > $o,P_12: state > state > $o,B_85: state > $o,C_37: com] :
% 0.66/0.83 ( hoare_90032982_state @ G_10
% 0.66/0.83 @ ( insert528405184_state
% 0.66/0.83 @ ( hoare_858012674_state
% 0.66/0.83 @ ^ [Z_11: state,S_2: state] : ( (&) @ ( P_12 @ Z_11 @ S_2 ) @ ( (~) @ ( B_85 @ S_2 ) ) )
% 0.66/0.83 @ ( while @ B_85 @ C_37 )
% 0.66/0.83 @ P_12 )
% 0.66/0.83 @ bot_bo19817387tate_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_692_Comp,axiom,
% 0.66/0.83 ! [D_3: com,R_1: state > state > $o,G_9: hoare_1708887482_state > $o,P_11: state > state > $o,C_36: com,Q_6: state > state > $o] :
% 0.66/0.83 ( ( hoare_90032982_state @ G_9 @ ( insert528405184_state @ ( hoare_858012674_state @ P_11 @ C_36 @ Q_6 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( ( hoare_90032982_state @ G_9 @ ( insert528405184_state @ ( hoare_858012674_state @ Q_6 @ D_3 @ R_1 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( hoare_90032982_state @ G_9 @ ( insert528405184_state @ ( hoare_858012674_state @ P_11 @ ( semi @ C_36 @ D_3 ) @ R_1 ) @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_693_WTs__elim__cases_I6_J,axiom,
% 0.66/0.83 ! [B_82: state > $o,C_34: com] :
% 0.66/0.83 ( ( wt @ ( while @ B_82 @ C_34 ) )
% 0.66/0.83 => ( wt @ C_34 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_694_WTs__elim__cases_I4_J,axiom,
% 0.66/0.83 ! [C1: com,C2: com] :
% 0.66/0.83 ( ( wt @ ( semi @ C1 @ C2 ) )
% 0.66/0.83 => ~ ( ( wt @ C1 )
% 0.66/0.83 => ~ ( wt @ C2 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_695_folding__one__idem_Oidem,axiom,
% 0.66/0.83 ! [X_53: hoare_1708887482_state,F_51: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_50: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1347568576_state @ F_51 @ F_50 )
% 0.66/0.83 => ( ( F_51 @ X_53 @ X_53 )
% 0.66/0.83 = X_53 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_696_folding__one__idem_Oidem,axiom,
% 0.66/0.83 ! [X_53: pname,F_51: pname > pname > pname,F_50: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite89670078_pname @ F_51 @ F_50 )
% 0.66/0.83 => ( ( F_51 @ X_53 @ X_53 )
% 0.66/0.83 = X_53 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_697_com_Osimps_I12_J,axiom,
% 0.66/0.83 ! [Com1_1: com,Com2_1: com] :
% 0.66/0.83 ( skip
% 0.66/0.83 != ( semi @ Com1_1 @ Com2_1 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_698_com_Osimps_I16_J,axiom,
% 0.66/0.83 ! [Fun_1: state > $o,Com_2: com] :
% 0.66/0.83 ( skip
% 0.66/0.83 != ( while @ Fun_1 @ Com_2 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_699_com_Osimps_I13_J,axiom,
% 0.66/0.83 ! [Com1_1: com,Com2_1: com] :
% 0.66/0.83 ( ( semi @ Com1_1 @ Com2_1 )
% 0.66/0.83 != skip ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_700_com_Osimps_I17_J,axiom,
% 0.66/0.83 ! [Fun_1: state > $o,Com_2: com] :
% 0.66/0.83 ( ( while @ Fun_1 @ Com_2 )
% 0.66/0.83 != skip ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_701_com_Osimps_I46_J,axiom,
% 0.66/0.83 ! [Com1: com,Com2: com,Fun_1: state > $o,Com_2: com] :
% 0.66/0.83 ( ( semi @ Com1 @ Com2 )
% 0.66/0.83 != ( while @ Fun_1 @ Com_2 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_702_com_Osimps_I47_J,axiom,
% 0.66/0.83 ! [Fun_1: state > $o,Com_2: com,Com1: com,Com2: com] :
% 0.66/0.83 ( ( while @ Fun_1 @ Com_2 )
% 0.66/0.83 != ( semi @ Com1 @ Com2 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_703_com_Osimps_I3_J,axiom,
% 0.66/0.83 ! [Com1: com,Com2: com,Com1_1: com,Com2_1: com] :
% 0.66/0.83 ( ( ( semi @ Com1 @ Com2 )
% 0.66/0.83 = ( semi @ Com1_1 @ Com2_1 ) )
% 0.66/0.83 <=> ( ( Com1 = Com1_1 )
% 0.66/0.83 & ( Com2 = Com2_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_704_com_Osimps_I5_J,axiom,
% 0.66/0.83 ! [Fun: state > $o,Com_1: com,Fun_1: state > $o,Com_2: com] :
% 0.66/0.83 ( ( ( while @ Fun @ Com_1 )
% 0.66/0.83 = ( while @ Fun_1 @ Com_2 ) )
% 0.66/0.83 <=> ( ( Fun = Fun_1 )
% 0.66/0.83 & ( Com_1 = Com_2 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_705_com_Osimps_I59_J,axiom,
% 0.66/0.83 ! [Pname: pname,Fun: state > $o,Com_1: com] :
% 0.66/0.83 ( ( body_1 @ Pname )
% 0.66/0.83 != ( while @ Fun @ Com_1 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_706_com_Osimps_I58_J,axiom,
% 0.66/0.83 ! [Fun: state > $o,Com_1: com,Pname: pname] :
% 0.66/0.83 ( ( while @ Fun @ Com_1 )
% 0.66/0.83 != ( body_1 @ Pname ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_707_While,axiom,
% 0.66/0.83 ! [B_82: state > $o,C_34: com] :
% 0.66/0.83 ( ( wt @ C_34 )
% 0.66/0.83 => ( wt @ ( while @ B_82 @ C_34 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_708_com_Osimps_I49_J,axiom,
% 0.66/0.83 ! [Pname: pname,Com1: com,Com2: com] :
% 0.66/0.83 ( ( body_1 @ Pname )
% 0.66/0.83 != ( semi @ Com1 @ Com2 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_709_com_Osimps_I48_J,axiom,
% 0.66/0.83 ! [Com1: com,Com2: com,Pname: pname] :
% 0.66/0.83 ( ( semi @ Com1 @ Com2 )
% 0.66/0.83 != ( body_1 @ Pname ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_710_WT_OSemi,axiom,
% 0.66/0.83 ! [C1: com,C0: com] :
% 0.66/0.83 ( ( wt @ C0 )
% 0.66/0.83 => ( ( wt @ C1 )
% 0.66/0.83 => ( wt @ ( semi @ C0 @ C1 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_711_com_Osimps_I18_J,axiom,
% 0.66/0.83 ! [Pname: pname] :
% 0.66/0.83 ( skip
% 0.66/0.83 != ( body_1 @ Pname ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_712_com_Osimps_I19_J,axiom,
% 0.66/0.83 ! [Pname: pname] :
% 0.66/0.83 ( ( body_1 @ Pname )
% 0.66/0.83 != skip ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_713_WT_OSkip,axiom,
% 0.66/0.83 wt @ skip ).
% 0.66/0.83
% 0.66/0.83 thf(fact_714_folding__one__idem_Oin__idem,axiom,
% 0.66/0.83 ! [X_52: com,A_136: com > $o,F_49: com > com > com,F_48: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite666746948em_com @ F_49 @ F_48 )
% 0.66/0.83 => ( ( finite_finite_com @ A_136 )
% 0.66/0.83 => ( ( member_com @ X_52 @ A_136 )
% 0.66/0.83 => ( ( F_49 @ X_52 @ ( F_48 @ A_136 ) )
% 0.66/0.83 = ( F_48 @ A_136 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_715_folding__one__idem_Oin__idem,axiom,
% 0.66/0.83 ! [X_52: pname,A_136: pname > $o,F_49: pname > pname > pname,F_48: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite89670078_pname @ F_49 @ F_48 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_136 )
% 0.66/0.83 => ( ( member_pname @ X_52 @ A_136 )
% 0.66/0.83 => ( ( F_49 @ X_52 @ ( F_48 @ A_136 ) )
% 0.66/0.83 = ( F_48 @ A_136 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_716_folding__one__idem_Oin__idem,axiom,
% 0.66/0.83 ! [X_52: hoare_1708887482_state,A_136: hoare_1708887482_state > $o,F_49: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_48: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1347568576_state @ F_49 @ F_48 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_136 )
% 0.66/0.83 => ( ( member451959335_state @ X_52 @ A_136 )
% 0.66/0.83 => ( ( F_49 @ X_52 @ ( F_48 @ A_136 ) )
% 0.66/0.83 = ( F_48 @ A_136 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_717_folding__one__idem_Oin__idem,axiom,
% 0.66/0.83 ! [X_52: pname > $o,A_136: ( pname > $o ) > $o,F_49: ( pname > $o ) > ( pname > $o ) > pname > $o,F_48: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite697516351name_o @ F_49 @ F_48 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_136 )
% 0.66/0.83 => ( ( member_pname_o @ X_52 @ A_136 )
% 0.66/0.83 => ( ( F_49 @ X_52 @ ( F_48 @ A_136 ) )
% 0.66/0.83 = ( F_48 @ A_136 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_718_folding__one__idem_Oin__idem,axiom,
% 0.66/0.83 ! [X_52: hoare_1708887482_state > $o,A_136: ( hoare_1708887482_state > $o ) > $o,F_49: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_48: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite621643279tate_o @ F_49 @ F_48 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_136 )
% 0.66/0.83 => ( ( member814030440tate_o @ X_52 @ A_136 )
% 0.66/0.83 => ( ( F_49 @ X_52 @ ( F_48 @ A_136 ) )
% 0.66/0.83 = ( F_48 @ A_136 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_719_folding__one__idem_Ohom__commute,axiom,
% 0.66/0.83 ! [N_1: ( pname > $o ) > $o,H_1: ( pname > $o ) > pname > $o,F_47: ( pname > $o ) > ( pname > $o ) > pname > $o,F_46: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite697516351name_o @ F_47 @ F_46 )
% 0.66/0.83 => ( ! [X_3: pname > $o,Y_4: pname > $o] :
% 0.66/0.83 ( ( H_1 @ ( F_47 @ X_3 @ Y_4 ) )
% 0.66/0.83 = ( F_47 @ ( H_1 @ X_3 ) @ ( H_1 @ Y_4 ) ) )
% 0.66/0.83 => ( ( finite297249702name_o @ N_1 )
% 0.66/0.83 => ( ( N_1 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( H_1 @ ( F_46 @ N_1 ) )
% 0.66/0.83 = ( F_46 @ ( image_1085733413name_o @ H_1 @ N_1 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_720_folding__one__idem_Ohom__commute,axiom,
% 0.66/0.83 ! [N_1: ( hoare_1708887482_state > $o ) > $o,H_1: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_47: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_46: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite621643279tate_o @ F_47 @ F_46 )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o,Y_4: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( H_1 @ ( F_47 @ X_3 @ Y_4 ) )
% 0.66/0.83 = ( F_47 @ ( H_1 @ X_3 ) @ ( H_1 @ Y_4 ) ) )
% 0.66/0.83 => ( ( finite1329924456tate_o @ N_1 )
% 0.66/0.83 => ( ( N_1 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( H_1 @ ( F_46 @ N_1 ) )
% 0.66/0.83 = ( F_46 @ ( image_909543877tate_o @ H_1 @ N_1 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_721_folding__one__idem_Ohom__commute,axiom,
% 0.66/0.83 ! [N_1: pname > $o,H_1: pname > pname,F_47: pname > pname > pname,F_46: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite89670078_pname @ F_47 @ F_46 )
% 0.66/0.83 => ( ! [X_3: pname,Y_4: pname] :
% 0.66/0.83 ( ( H_1 @ ( F_47 @ X_3 @ Y_4 ) )
% 0.66/0.83 = ( F_47 @ ( H_1 @ X_3 ) @ ( H_1 @ Y_4 ) ) )
% 0.66/0.83 => ( ( finite_finite_pname @ N_1 )
% 0.66/0.83 => ( ( N_1 != bot_bot_pname_o )
% 0.66/0.83 => ( ( H_1 @ ( F_46 @ N_1 ) )
% 0.66/0.83 = ( F_46 @ ( image_pname_pname @ H_1 @ N_1 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_722_folding__one__idem_Ohom__commute,axiom,
% 0.66/0.83 ! [N_1: hoare_1708887482_state > $o,H_1: hoare_1708887482_state > hoare_1708887482_state,F_47: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_46: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1347568576_state @ F_47 @ F_46 )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state,Y_4: hoare_1708887482_state] :
% 0.66/0.83 ( ( H_1 @ ( F_47 @ X_3 @ Y_4 ) )
% 0.66/0.83 = ( F_47 @ ( H_1 @ X_3 ) @ ( H_1 @ Y_4 ) ) )
% 0.66/0.83 => ( ( finite1625599783_state @ N_1 )
% 0.66/0.83 => ( ( N_1 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( H_1 @ ( F_46 @ N_1 ) )
% 0.66/0.83 = ( F_46 @ ( image_757158439_state @ H_1 @ N_1 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_723_folding__one__idem_Ohom__commute,axiom,
% 0.66/0.83 ! [N_1: com > $o,H_1: com > com,F_47: com > com > com,F_46: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite666746948em_com @ F_47 @ F_46 )
% 0.66/0.83 => ( ! [X_3: com,Y_4: com] :
% 0.66/0.83 ( ( H_1 @ ( F_47 @ X_3 @ Y_4 ) )
% 0.66/0.83 = ( F_47 @ ( H_1 @ X_3 ) @ ( H_1 @ Y_4 ) ) )
% 0.66/0.83 => ( ( finite_finite_com @ N_1 )
% 0.66/0.83 => ( ( N_1 != bot_bot_com_o )
% 0.66/0.83 => ( ( H_1 @ ( F_46 @ N_1 ) )
% 0.66/0.83 = ( F_46 @ ( image_com_com @ H_1 @ N_1 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_724_the__elem__def,axiom,
% 0.66/0.83 ! [X_51: com > $o] :
% 0.66/0.83 ( ( the_elem_com @ X_51 )
% 0.66/0.83 = ( the_com_1
% 0.66/0.83 @ ^ [X_3: com] :
% 0.66/0.83 ( X_51
% 0.66/0.83 = ( insert_com @ X_3 @ bot_bot_com_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_725_the__elem__def,axiom,
% 0.66/0.83 ! [X_51: pname > $o] :
% 0.66/0.83 ( ( the_elem_pname @ X_51 )
% 0.66/0.83 = ( the_pname
% 0.66/0.83 @ ^ [X_3: pname] :
% 0.66/0.83 ( X_51
% 0.66/0.83 = ( insert_pname @ X_3 @ bot_bot_pname_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_726_the__elem__def,axiom,
% 0.66/0.83 ! [X_51: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( the_el864710747_state @ X_51 )
% 0.66/0.83 = ( the_Ho851197897_state
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( X_51
% 0.66/0.83 = ( insert528405184_state @ X_3 @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_727_folding__one_Oinsert,axiom,
% 0.66/0.83 ! [X_50: com,A_135: com > $o,F_45: com > com > com,F_44: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite860057415ne_com @ F_45 @ F_44 )
% 0.66/0.83 => ( ( finite_finite_com @ A_135 )
% 0.66/0.83 => ( ~ ( member_com @ X_50 @ A_135 )
% 0.66/0.83 => ( ( A_135 != bot_bot_com_o )
% 0.66/0.83 => ( ( F_44 @ ( insert_com @ X_50 @ A_135 ) )
% 0.66/0.83 = ( F_45 @ X_50 @ ( F_44 @ A_135 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_728_folding__one_Oinsert,axiom,
% 0.66/0.83 ! [X_50: pname,A_135: pname > $o,F_45: pname > pname > pname,F_44: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite1282449217_pname @ F_45 @ F_44 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_135 )
% 0.66/0.83 => ( ~ ( member_pname @ X_50 @ A_135 )
% 0.66/0.83 => ( ( A_135 != bot_bot_pname_o )
% 0.66/0.83 => ( ( F_44 @ ( insert_pname @ X_50 @ A_135 ) )
% 0.66/0.83 = ( F_45 @ X_50 @ ( F_44 @ A_135 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_729_folding__one_Oinsert,axiom,
% 0.66/0.83 ! [X_50: hoare_1708887482_state,A_135: hoare_1708887482_state > $o,F_45: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_44: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1615457021_state @ F_45 @ F_44 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_135 )
% 0.66/0.83 => ( ~ ( member451959335_state @ X_50 @ A_135 )
% 0.66/0.83 => ( ( A_135 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_44 @ ( insert528405184_state @ X_50 @ A_135 ) )
% 0.66/0.83 = ( F_45 @ X_50 @ ( F_44 @ A_135 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_730_folding__one_Oinsert,axiom,
% 0.66/0.83 ! [X_50: pname > $o,A_135: ( pname > $o ) > $o,F_45: ( pname > $o ) > ( pname > $o ) > pname > $o,F_44: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite349908348name_o @ F_45 @ F_44 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_135 )
% 0.66/0.83 => ( ~ ( member_pname_o @ X_50 @ A_135 )
% 0.66/0.83 => ( ( A_135 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_44 @ ( insert_pname_o @ X_50 @ A_135 ) )
% 0.66/0.83 = ( F_45 @ X_50 @ ( F_44 @ A_135 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_731_folding__one_Oinsert,axiom,
% 0.66/0.83 ! [X_50: hoare_1708887482_state > $o,A_135: ( hoare_1708887482_state > $o ) > $o,F_45: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_44: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite928843026tate_o @ F_45 @ F_44 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_135 )
% 0.66/0.83 => ( ~ ( member814030440tate_o @ X_50 @ A_135 )
% 0.66/0.83 => ( ( A_135 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_44 @ ( insert949073679tate_o @ X_50 @ A_135 ) )
% 0.66/0.83 = ( F_45 @ X_50 @ ( F_44 @ A_135 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_732_triple_Oexhaust,axiom,
% 0.66/0.83 ! [Y_25: hoare_1708887482_state] :
% 0.66/0.83 ~ ! [Fun1: state > state > $o,Com: com,Fun2: state > state > $o] :
% 0.66/0.83 ( Y_25
% 0.66/0.83 != ( hoare_858012674_state @ Fun1 @ Com @ Fun2 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_733_folding__one_Osingleton,axiom,
% 0.66/0.83 ! [X_49: com,F_43: com > com > com,F_42: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite860057415ne_com @ F_43 @ F_42 )
% 0.66/0.83 => ( ( F_42 @ ( insert_com @ X_49 @ bot_bot_com_o ) )
% 0.66/0.83 = X_49 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_734_folding__one_Osingleton,axiom,
% 0.66/0.83 ! [X_49: pname,F_43: pname > pname > pname,F_42: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite1282449217_pname @ F_43 @ F_42 )
% 0.66/0.83 => ( ( F_42 @ ( insert_pname @ X_49 @ bot_bot_pname_o ) )
% 0.66/0.83 = X_49 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_735_folding__one_Osingleton,axiom,
% 0.66/0.83 ! [X_49: hoare_1708887482_state,F_43: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_42: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1615457021_state @ F_43 @ F_42 )
% 0.66/0.83 => ( ( F_42 @ ( insert528405184_state @ X_49 @ bot_bo19817387tate_o ) )
% 0.66/0.83 = X_49 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_736_folding__one_Oclosed,axiom,
% 0.66/0.83 ! [A_134: com > $o,F_41: com > com > com,F_40: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite860057415ne_com @ F_41 @ F_40 )
% 0.66/0.83 => ( ( finite_finite_com @ A_134 )
% 0.66/0.83 => ( ( A_134 != bot_bot_com_o )
% 0.66/0.83 => ( ! [X_3: com,Y_4: com] : ( member_com @ ( F_41 @ X_3 @ Y_4 ) @ ( insert_com @ X_3 @ ( insert_com @ Y_4 @ bot_bot_com_o ) ) )
% 0.66/0.83 => ( member_com @ ( F_40 @ A_134 ) @ A_134 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_737_folding__one_Oclosed,axiom,
% 0.66/0.83 ! [A_134: pname > $o,F_41: pname > pname > pname,F_40: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite1282449217_pname @ F_41 @ F_40 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_134 )
% 0.66/0.83 => ( ( A_134 != bot_bot_pname_o )
% 0.66/0.83 => ( ! [X_3: pname,Y_4: pname] : ( member_pname @ ( F_41 @ X_3 @ Y_4 ) @ ( insert_pname @ X_3 @ ( insert_pname @ Y_4 @ bot_bot_pname_o ) ) )
% 0.66/0.83 => ( member_pname @ ( F_40 @ A_134 ) @ A_134 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_738_folding__one_Oclosed,axiom,
% 0.66/0.83 ! [A_134: hoare_1708887482_state > $o,F_41: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_40: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1615457021_state @ F_41 @ F_40 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_134 )
% 0.66/0.83 => ( ( A_134 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state,Y_4: hoare_1708887482_state] : ( member451959335_state @ ( F_41 @ X_3 @ Y_4 ) @ ( insert528405184_state @ X_3 @ ( insert528405184_state @ Y_4 @ bot_bo19817387tate_o ) ) )
% 0.66/0.83 => ( member451959335_state @ ( F_40 @ A_134 ) @ A_134 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_739_folding__one_Oclosed,axiom,
% 0.66/0.83 ! [A_134: ( pname > $o ) > $o,F_41: ( pname > $o ) > ( pname > $o ) > pname > $o,F_40: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite349908348name_o @ F_41 @ F_40 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_134 )
% 0.66/0.83 => ( ( A_134 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ! [X_3: pname > $o,Y_4: pname > $o] : ( member_pname_o @ ( F_41 @ X_3 @ Y_4 ) @ ( insert_pname_o @ X_3 @ ( insert_pname_o @ Y_4 @ bot_bot_pname_o_o ) ) )
% 0.66/0.83 => ( member_pname_o @ ( F_40 @ A_134 ) @ A_134 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_740_folding__one_Oclosed,axiom,
% 0.66/0.83 ! [A_134: ( hoare_1708887482_state > $o ) > $o,F_41: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_40: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite928843026tate_o @ F_41 @ F_40 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_134 )
% 0.66/0.83 => ( ( A_134 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o,Y_4: hoare_1708887482_state > $o] : ( member814030440tate_o @ ( F_41 @ X_3 @ Y_4 ) @ ( insert949073679tate_o @ X_3 @ ( insert949073679tate_o @ Y_4 @ bot_bo1678742418te_o_o ) ) )
% 0.66/0.83 => ( member814030440tate_o @ ( F_40 @ A_134 ) @ A_134 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_741_image__cong,axiom,
% 0.66/0.83 ! [F_39: pname > hoare_1708887482_state,G_8: pname > hoare_1708887482_state,M_3: pname > $o,N: pname > $o] :
% 0.66/0.83 ( ( M_3 = N )
% 0.66/0.83 => ( ! [X_3: pname] :
% 0.66/0.83 ( ( member_pname @ X_3 @ N )
% 0.66/0.83 => ( ( F_39 @ X_3 )
% 0.66/0.83 = ( G_8 @ X_3 ) ) )
% 0.66/0.83 => ( ( image_1116629049_state @ F_39 @ M_3 )
% 0.66/0.83 = ( image_1116629049_state @ G_8 @ N ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_742_Collect__mono,axiom,
% 0.66/0.83 ! [Q_5: hoare_1708887482_state > $o,P_10: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( P_10 @ X_3 )
% 0.66/0.83 => ( Q_5 @ X_3 ) )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( collec1568722789_state @ P_10 ) @ ( collec1568722789_state @ Q_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_743_Collect__mono,axiom,
% 0.66/0.83 ! [Q_5: pname > $o,P_10: pname > $o] :
% 0.66/0.83 ( ! [X_3: pname] :
% 0.66/0.83 ( ( P_10 @ X_3 )
% 0.66/0.83 => ( Q_5 @ X_3 ) )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( collect_pname @ P_10 ) @ ( collect_pname @ Q_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_744_Collect__mono,axiom,
% 0.66/0.83 ! [Q_5: ( pname > $o ) > $o,P_10: ( pname > $o ) > $o] :
% 0.66/0.83 ( ! [X_3: pname > $o] :
% 0.66/0.83 ( ( P_10 @ X_3 )
% 0.66/0.83 => ( Q_5 @ X_3 ) )
% 0.66/0.83 => ( ord_le1205211808me_o_o @ ( collect_pname_o @ P_10 ) @ ( collect_pname_o @ Q_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_745_Collect__mono,axiom,
% 0.66/0.83 ! [Q_5: ( hoare_1708887482_state > $o ) > $o,P_10: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ! [X_3: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( P_10 @ X_3 )
% 0.66/0.83 => ( Q_5 @ X_3 ) )
% 0.66/0.83 => ( ord_le1728773982te_o_o @ ( collec219771562tate_o @ P_10 ) @ ( collec219771562tate_o @ Q_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_746_predicate1I,axiom,
% 0.66/0.83 ! [Q_4: pname > $o,P_9: pname > $o] :
% 0.66/0.83 ( ! [X_3: pname] :
% 0.66/0.83 ( ( P_9 @ X_3 )
% 0.66/0.83 => ( Q_4 @ X_3 ) )
% 0.66/0.83 => ( ord_less_eq_pname_o @ P_9 @ Q_4 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_747_predicate1I,axiom,
% 0.66/0.83 ! [Q_4: hoare_1708887482_state > $o,P_9: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( P_9 @ X_3 )
% 0.66/0.83 => ( Q_4 @ X_3 ) )
% 0.66/0.83 => ( ord_le777019615tate_o @ P_9 @ Q_4 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_748_mk__disjoint__insert,axiom,
% 0.66/0.83 ! [A_133: com,A_132: com > $o] :
% 0.66/0.83 ( ( member_com @ A_133 @ A_132 )
% 0.66/0.83 => ? [B_84: com > $o] :
% 0.66/0.83 ( ( A_132
% 0.66/0.83 = ( insert_com @ A_133 @ B_84 ) )
% 0.66/0.83 & ~ ( member_com @ A_133 @ B_84 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_749_mk__disjoint__insert,axiom,
% 0.66/0.83 ! [A_133: pname,A_132: pname > $o] :
% 0.66/0.83 ( ( member_pname @ A_133 @ A_132 )
% 0.66/0.83 => ? [B_84: pname > $o] :
% 0.66/0.83 ( ( A_132
% 0.66/0.83 = ( insert_pname @ A_133 @ B_84 ) )
% 0.66/0.83 & ~ ( member_pname @ A_133 @ B_84 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_750_mk__disjoint__insert,axiom,
% 0.66/0.83 ! [A_133: hoare_1708887482_state,A_132: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ A_133 @ A_132 )
% 0.66/0.83 => ? [B_84: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( A_132
% 0.66/0.83 = ( insert528405184_state @ A_133 @ B_84 ) )
% 0.66/0.83 & ~ ( member451959335_state @ A_133 @ B_84 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_751_Set_Oset__insert,axiom,
% 0.66/0.83 ! [X_48: com,A_131: com > $o] :
% 0.66/0.83 ( ( member_com @ X_48 @ A_131 )
% 0.66/0.83 => ~ ! [B_84: com > $o] :
% 0.66/0.83 ( ( A_131
% 0.66/0.83 = ( insert_com @ X_48 @ B_84 ) )
% 0.66/0.83 => ( member_com @ X_48 @ B_84 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_752_Set_Oset__insert,axiom,
% 0.66/0.83 ! [X_48: pname,A_131: pname > $o] :
% 0.66/0.83 ( ( member_pname @ X_48 @ A_131 )
% 0.66/0.83 => ~ ! [B_84: pname > $o] :
% 0.66/0.83 ( ( A_131
% 0.66/0.83 = ( insert_pname @ X_48 @ B_84 ) )
% 0.66/0.83 => ( member_pname @ X_48 @ B_84 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_753_Set_Oset__insert,axiom,
% 0.66/0.83 ! [X_48: hoare_1708887482_state,A_131: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ X_48 @ A_131 )
% 0.66/0.83 => ~ ! [B_84: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( A_131
% 0.66/0.83 = ( insert528405184_state @ X_48 @ B_84 ) )
% 0.66/0.83 => ( member451959335_state @ X_48 @ B_84 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_754_equals0I,axiom,
% 0.66/0.83 ! [A_130: com > $o] :
% 0.66/0.83 ( ! [Y_4: com] :
% 0.66/0.83 ~ ( member_com @ Y_4 @ A_130 )
% 0.66/0.83 => ( A_130 = bot_bot_com_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_755_equals0I,axiom,
% 0.66/0.83 ! [A_130: pname > $o] :
% 0.66/0.83 ( ! [Y_4: pname] :
% 0.66/0.83 ~ ( member_pname @ Y_4 @ A_130 )
% 0.66/0.83 => ( A_130 = bot_bot_pname_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_756_equals0I,axiom,
% 0.66/0.83 ! [A_130: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ! [Y_4: hoare_1708887482_state] :
% 0.66/0.83 ~ ( member451959335_state @ Y_4 @ A_130 )
% 0.66/0.83 => ( A_130 = bot_bo19817387tate_o ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_757_MGT__alternD,axiom,
% 0.66/0.83 ! [G_7: hoare_1708887482_state > $o,C_34: com] :
% 0.66/0.83 ( hoare_1160767572gleton
% 0.66/0.83 => ( ( hoare_90032982_state @ G_7
% 0.66/0.83 @ ( insert528405184_state
% 0.66/0.83 @ ( hoare_858012674_state
% 0.66/0.83 @ ^ [Z_11: state,S0_1: state] :
% 0.66/0.83 ! [S1: state] : ( (=>) @ ( evalc @ C_34 @ S0_1 @ S1 ) @ ( Z_11 = S1 ) )
% 0.66/0.83 @ C_34
% 0.66/0.83 @ fequal_state )
% 0.66/0.83 @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( hoare_90032982_state @ G_7 @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ C_34 ) @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_758_xt1_I15_J,axiom,
% 0.66/0.83 ! [C_35: $o,F_38: $o > $o,B_83: $o,A_129: $o] :
% 0.66/0.83 ( ( A_129
% 0.66/0.83 <=> ( F_38 @ B_83 ) )
% 0.66/0.83 => ( ( ord_less_eq_o @ C_35 @ B_83 )
% 0.66/0.83 => ( ! [X_3: $o,Y_4: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ Y_4 @ X_3 )
% 0.66/0.83 => ( ord_less_eq_o @ ( F_38 @ Y_4 ) @ ( F_38 @ X_3 ) ) )
% 0.66/0.83 => ( ord_less_eq_o @ ( F_38 @ C_35 ) @ A_129 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_759_xt1_I15_J,axiom,
% 0.66/0.83 ! [C_35: pname > $o,A_129: pname > $o,F_38: ( pname > $o ) > pname > $o,B_83: pname > $o] :
% 0.66/0.83 ( ( A_129
% 0.66/0.83 = ( F_38 @ B_83 ) )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ C_35 @ B_83 )
% 0.66/0.83 => ( ! [X_3: pname > $o,Y_4: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ Y_4 @ X_3 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( F_38 @ Y_4 ) @ ( F_38 @ X_3 ) ) )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( F_38 @ C_35 ) @ A_129 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_760_xt1_I15_J,axiom,
% 0.66/0.83 ! [C_35: hoare_1708887482_state > $o,A_129: hoare_1708887482_state > $o,F_38: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,B_83: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( A_129
% 0.66/0.83 = ( F_38 @ B_83 ) )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ C_35 @ B_83 )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o,Y_4: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ Y_4 @ X_3 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( F_38 @ Y_4 ) @ ( F_38 @ X_3 ) ) )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( F_38 @ C_35 ) @ A_129 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_761_MGT__alternI,axiom,
% 0.66/0.83 ! [G_7: hoare_1708887482_state > $o,C_34: com] :
% 0.66/0.83 ( ( hoare_90032982_state @ G_7 @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ C_34 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( hoare_90032982_state @ G_7
% 0.66/0.83 @ ( insert528405184_state
% 0.66/0.83 @ ( hoare_858012674_state
% 0.66/0.83 @ ^ [Z_11: state,S0_1: state] :
% 0.66/0.83 ! [S1: state] : ( (=>) @ ( evalc @ C_34 @ S0_1 @ S1 ) @ ( Z_11 = S1 ) )
% 0.66/0.83 @ C_34
% 0.66/0.83 @ fequal_state )
% 0.66/0.83 @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_762_MGT__def,axiom,
% 0.66/0.83 ! [C_34: com] :
% 0.66/0.83 ( ( hoare_Mirabelle_MGT @ C_34 )
% 0.66/0.83 = ( hoare_858012674_state @ fequal_state @ C_34 @ ( evalc @ C_34 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_763_evalc__elim__cases_I6_J,axiom,
% 0.66/0.83 ! [P: pname,S_4: state,S1_1: state] :
% 0.66/0.83 ( ( evalc @ ( body_1 @ P ) @ S_4 @ S1_1 )
% 0.66/0.83 => ( evalc @ ( the_com @ ( body @ P ) ) @ S_4 @ S1_1 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_764_evalc_OBody,axiom,
% 0.66/0.83 ! [Pn_1: pname,S0: state,S1_1: state] :
% 0.66/0.83 ( ( evalc @ ( the_com @ ( body @ Pn_1 ) ) @ S0 @ S1_1 )
% 0.66/0.83 => ( evalc @ ( body_1 @ Pn_1 ) @ S0 @ S1_1 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_765_evalc__elim__cases_I1_J,axiom,
% 0.66/0.83 ! [S_4: state,T: state] :
% 0.66/0.83 ( ( evalc @ skip @ S_4 @ T )
% 0.66/0.83 => ( T = S_4 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_766_evalc_OSkip,axiom,
% 0.66/0.83 ! [S_4: state] : ( evalc @ skip @ S_4 @ S_4 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_767_evalc_OSemi,axiom,
% 0.66/0.83 ! [C1: com,S2: state,C0: com,S0: state,S1_1: state] :
% 0.66/0.83 ( ( evalc @ C0 @ S0 @ S1_1 )
% 0.66/0.83 => ( ( evalc @ C1 @ S1_1 @ S2 )
% 0.66/0.83 => ( evalc @ ( semi @ C0 @ C1 ) @ S0 @ S2 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_768_evalc_OWhileTrue,axiom,
% 0.66/0.83 ! [S2: state,C_34: com,S1_1: state,B_82: state > $o,S0: state] :
% 0.66/0.83 ( ( B_82 @ S0 )
% 0.66/0.83 => ( ( evalc @ C_34 @ S0 @ S1_1 )
% 0.66/0.83 => ( ( evalc @ ( while @ B_82 @ C_34 ) @ S1_1 @ S2 )
% 0.66/0.83 => ( evalc @ ( while @ B_82 @ C_34 ) @ S0 @ S2 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_769_evalc_OWhileFalse,axiom,
% 0.66/0.83 ! [C_34: com,B_82: state > $o,S_4: state] :
% 0.66/0.83 ( ~ ( B_82 @ S_4 )
% 0.66/0.83 => ( evalc @ ( while @ B_82 @ C_34 ) @ S_4 @ S_4 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_770_com__det,axiom,
% 0.66/0.83 ! [U: state,C_34: com,S_4: state,T: state] :
% 0.66/0.83 ( ( evalc @ C_34 @ S_4 @ T )
% 0.66/0.83 => ( ( evalc @ C_34 @ S_4 @ U )
% 0.66/0.83 => ( U = T ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_771_evalc__elim__cases_I4_J,axiom,
% 0.66/0.83 ! [C1: com,C2: com,S_4: state,T: state] :
% 0.66/0.83 ( ( evalc @ ( semi @ C1 @ C2 ) @ S_4 @ T )
% 0.66/0.83 => ~ ! [S1: state] :
% 0.66/0.83 ( ( evalc @ C1 @ S_4 @ S1 )
% 0.66/0.83 => ~ ( evalc @ C2 @ S1 @ T ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_772_evalc__WHILE__case,axiom,
% 0.66/0.83 ! [B_82: state > $o,C_34: com,S_4: state,T: state] :
% 0.66/0.83 ( ( evalc @ ( while @ B_82 @ C_34 ) @ S_4 @ T )
% 0.66/0.83 => ( ( ( T = S_4 )
% 0.66/0.83 => ( B_82 @ S_4 ) )
% 0.66/0.83 => ~ ( ( B_82 @ S_4 )
% 0.66/0.83 => ! [S1: state] :
% 0.66/0.83 ( ( evalc @ C_34 @ S_4 @ S1 )
% 0.66/0.83 => ~ ( evalc @ ( while @ B_82 @ C_34 ) @ S1 @ T ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_773_xt1_I16_J,axiom,
% 0.66/0.83 ! [C_33: $o,F_37: $o > $o,B_81: $o,A_128: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ B_81 @ A_128 )
% 0.66/0.83 => ( ( ( F_37 @ B_81 )
% 0.66/0.83 <=> C_33 )
% 0.66/0.83 => ( ! [X_3: $o,Y_4: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ Y_4 @ X_3 )
% 0.66/0.83 => ( ord_less_eq_o @ ( F_37 @ Y_4 ) @ ( F_37 @ X_3 ) ) )
% 0.66/0.83 => ( ord_less_eq_o @ C_33 @ ( F_37 @ A_128 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_774_xt1_I16_J,axiom,
% 0.66/0.83 ! [F_37: ( pname > $o ) > pname > $o,C_33: pname > $o,B_81: pname > $o,A_128: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ B_81 @ A_128 )
% 0.66/0.83 => ( ( ( F_37 @ B_81 )
% 0.66/0.83 = C_33 )
% 0.66/0.83 => ( ! [X_3: pname > $o,Y_4: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ Y_4 @ X_3 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( F_37 @ Y_4 ) @ ( F_37 @ X_3 ) ) )
% 0.66/0.83 => ( ord_less_eq_pname_o @ C_33 @ ( F_37 @ A_128 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_775_xt1_I16_J,axiom,
% 0.66/0.83 ! [F_37: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,C_33: hoare_1708887482_state > $o,B_81: hoare_1708887482_state > $o,A_128: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ B_81 @ A_128 )
% 0.66/0.83 => ( ( ( F_37 @ B_81 )
% 0.66/0.83 = C_33 )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o,Y_4: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ Y_4 @ X_3 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( F_37 @ Y_4 ) @ ( F_37 @ X_3 ) ) )
% 0.66/0.83 => ( ord_le777019615tate_o @ C_33 @ ( F_37 @ A_128 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_776_folding__one_Ounion__inter,axiom,
% 0.66/0.83 ! [B_80: ( pname > $o ) > $o,A_127: ( pname > $o ) > $o,F_36: ( pname > $o ) > ( pname > $o ) > pname > $o,F_35: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite349908348name_o @ F_36 @ F_35 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_127 )
% 0.66/0.83 => ( ( finite297249702name_o @ B_80 )
% 0.66/0.83 => ( ( ( semila2013987940me_o_o @ A_127 @ B_80 )
% 0.66/0.83 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_36 @ ( F_35 @ ( semila181081674me_o_o @ A_127 @ B_80 ) ) @ ( F_35 @ ( semila2013987940me_o_o @ A_127 @ B_80 ) ) )
% 0.66/0.83 = ( F_36 @ ( F_35 @ A_127 ) @ ( F_35 @ B_80 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_777_folding__one_Ounion__inter,axiom,
% 0.66/0.83 ! [B_80: ( hoare_1708887482_state > $o ) > $o,A_127: ( hoare_1708887482_state > $o ) > $o,F_36: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_35: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite928843026tate_o @ F_36 @ F_35 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_127 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ B_80 )
% 0.66/0.83 => ( ( ( semila598060698te_o_o @ A_127 @ B_80 )
% 0.66/0.83 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_36 @ ( F_35 @ ( semila1853742644te_o_o @ A_127 @ B_80 ) ) @ ( F_35 @ ( semila598060698te_o_o @ A_127 @ B_80 ) ) )
% 0.66/0.83 = ( F_36 @ ( F_35 @ A_127 ) @ ( F_35 @ B_80 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_778_folding__one_Ounion__inter,axiom,
% 0.66/0.83 ! [B_80: pname > $o,A_127: pname > $o,F_36: pname > pname > pname,F_35: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite1282449217_pname @ F_36 @ F_35 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_127 )
% 0.66/0.83 => ( ( finite_finite_pname @ B_80 )
% 0.66/0.83 => ( ( ( semila1673364395name_o @ A_127 @ B_80 )
% 0.66/0.83 != bot_bot_pname_o )
% 0.66/0.83 => ( ( F_36 @ ( F_35 @ ( semila1780557381name_o @ A_127 @ B_80 ) ) @ ( F_35 @ ( semila1673364395name_o @ A_127 @ B_80 ) ) )
% 0.66/0.83 = ( F_36 @ ( F_35 @ A_127 ) @ ( F_35 @ B_80 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_779_folding__one_Ounion__inter,axiom,
% 0.66/0.83 ! [B_80: hoare_1708887482_state > $o,A_127: hoare_1708887482_state > $o,F_36: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_35: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1615457021_state @ F_36 @ F_35 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_127 )
% 0.66/0.83 => ( ( finite1625599783_state @ B_80 )
% 0.66/0.83 => ( ( ( semila129691299tate_o @ A_127 @ B_80 )
% 0.66/0.83 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_36 @ ( F_35 @ ( semila1122118281tate_o @ A_127 @ B_80 ) ) @ ( F_35 @ ( semila129691299tate_o @ A_127 @ B_80 ) ) )
% 0.66/0.83 = ( F_36 @ ( F_35 @ A_127 ) @ ( F_35 @ B_80 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_780_folding__one_Ounion__inter,axiom,
% 0.66/0.83 ! [B_80: com > $o,A_127: com > $o,F_36: com > com > com,F_35: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite860057415ne_com @ F_36 @ F_35 )
% 0.66/0.83 => ( ( finite_finite_com @ A_127 )
% 0.66/0.83 => ( ( finite_finite_com @ B_80 )
% 0.66/0.83 => ( ( ( semila513601829_com_o @ A_127 @ B_80 )
% 0.66/0.83 != bot_bot_com_o )
% 0.66/0.83 => ( ( F_36 @ ( F_35 @ ( semila1562558655_com_o @ A_127 @ B_80 ) ) @ ( F_35 @ ( semila513601829_com_o @ A_127 @ B_80 ) ) )
% 0.66/0.83 = ( F_36 @ ( F_35 @ A_127 ) @ ( F_35 @ B_80 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_781_folding__one_Ounion__disjoint,axiom,
% 0.66/0.83 ! [B_79: ( pname > $o ) > $o,A_126: ( pname > $o ) > $o,F_34: ( pname > $o ) > ( pname > $o ) > pname > $o,F_33: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite349908348name_o @ F_34 @ F_33 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_126 )
% 0.66/0.83 => ( ( A_126 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( finite297249702name_o @ B_79 )
% 0.66/0.83 => ( ( B_79 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( ( semila2013987940me_o_o @ A_126 @ B_79 )
% 0.66/0.83 = bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_33 @ ( semila181081674me_o_o @ A_126 @ B_79 ) )
% 0.66/0.83 = ( F_34 @ ( F_33 @ A_126 ) @ ( F_33 @ B_79 ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_782_folding__one_Ounion__disjoint,axiom,
% 0.66/0.83 ! [B_79: ( hoare_1708887482_state > $o ) > $o,A_126: ( hoare_1708887482_state > $o ) > $o,F_34: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_33: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite928843026tate_o @ F_34 @ F_33 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_126 )
% 0.66/0.83 => ( ( A_126 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( finite1329924456tate_o @ B_79 )
% 0.66/0.83 => ( ( B_79 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( ( semila598060698te_o_o @ A_126 @ B_79 )
% 0.66/0.83 = bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_33 @ ( semila1853742644te_o_o @ A_126 @ B_79 ) )
% 0.66/0.83 = ( F_34 @ ( F_33 @ A_126 ) @ ( F_33 @ B_79 ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_783_folding__one_Ounion__disjoint,axiom,
% 0.66/0.83 ! [B_79: pname > $o,A_126: pname > $o,F_34: pname > pname > pname,F_33: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite1282449217_pname @ F_34 @ F_33 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_126 )
% 0.66/0.83 => ( ( A_126 != bot_bot_pname_o )
% 0.66/0.83 => ( ( finite_finite_pname @ B_79 )
% 0.66/0.83 => ( ( B_79 != bot_bot_pname_o )
% 0.66/0.83 => ( ( ( semila1673364395name_o @ A_126 @ B_79 )
% 0.66/0.83 = bot_bot_pname_o )
% 0.66/0.83 => ( ( F_33 @ ( semila1780557381name_o @ A_126 @ B_79 ) )
% 0.66/0.83 = ( F_34 @ ( F_33 @ A_126 ) @ ( F_33 @ B_79 ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_784_folding__one_Ounion__disjoint,axiom,
% 0.66/0.83 ! [B_79: hoare_1708887482_state > $o,A_126: hoare_1708887482_state > $o,F_34: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_33: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1615457021_state @ F_34 @ F_33 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_126 )
% 0.66/0.83 => ( ( A_126 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( finite1625599783_state @ B_79 )
% 0.66/0.83 => ( ( B_79 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( ( semila129691299tate_o @ A_126 @ B_79 )
% 0.66/0.83 = bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_33 @ ( semila1122118281tate_o @ A_126 @ B_79 ) )
% 0.66/0.83 = ( F_34 @ ( F_33 @ A_126 ) @ ( F_33 @ B_79 ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_785_folding__one_Ounion__disjoint,axiom,
% 0.66/0.83 ! [B_79: com > $o,A_126: com > $o,F_34: com > com > com,F_33: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite860057415ne_com @ F_34 @ F_33 )
% 0.66/0.83 => ( ( finite_finite_com @ A_126 )
% 0.66/0.83 => ( ( A_126 != bot_bot_com_o )
% 0.66/0.83 => ( ( finite_finite_com @ B_79 )
% 0.66/0.83 => ( ( B_79 != bot_bot_com_o )
% 0.66/0.83 => ( ( ( semila513601829_com_o @ A_126 @ B_79 )
% 0.66/0.83 = bot_bot_com_o )
% 0.66/0.83 => ( ( F_33 @ ( semila1562558655_com_o @ A_126 @ B_79 ) )
% 0.66/0.83 = ( F_34 @ ( F_33 @ A_126 ) @ ( F_33 @ B_79 ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_786_folding__one_Oinsert__remove,axiom,
% 0.66/0.83 ! [X_47: com,A_125: com > $o,F_32: com > com > com,F_31: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite860057415ne_com @ F_32 @ F_31 )
% 0.66/0.83 => ( ( finite_finite_com @ A_125 )
% 0.66/0.83 => ( ( ( ( minus_minus_com_o @ A_125 @ ( insert_com @ X_47 @ bot_bot_com_o ) )
% 0.66/0.83 = bot_bot_com_o )
% 0.66/0.83 => ( ( F_31 @ ( insert_com @ X_47 @ A_125 ) )
% 0.66/0.83 = X_47 ) )
% 0.66/0.83 & ( ( ( minus_minus_com_o @ A_125 @ ( insert_com @ X_47 @ bot_bot_com_o ) )
% 0.66/0.83 != bot_bot_com_o )
% 0.66/0.83 => ( ( F_31 @ ( insert_com @ X_47 @ A_125 ) )
% 0.66/0.83 = ( F_32 @ X_47 @ ( F_31 @ ( minus_minus_com_o @ A_125 @ ( insert_com @ X_47 @ bot_bot_com_o ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_787_folding__one_Oinsert__remove,axiom,
% 0.66/0.83 ! [X_47: pname,A_125: pname > $o,F_32: pname > pname > pname,F_31: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite1282449217_pname @ F_32 @ F_31 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_125 )
% 0.66/0.83 => ( ( ( ( minus_minus_pname_o @ A_125 @ ( insert_pname @ X_47 @ bot_bot_pname_o ) )
% 0.66/0.83 = bot_bot_pname_o )
% 0.66/0.83 => ( ( F_31 @ ( insert_pname @ X_47 @ A_125 ) )
% 0.66/0.83 = X_47 ) )
% 0.66/0.83 & ( ( ( minus_minus_pname_o @ A_125 @ ( insert_pname @ X_47 @ bot_bot_pname_o ) )
% 0.66/0.83 != bot_bot_pname_o )
% 0.66/0.83 => ( ( F_31 @ ( insert_pname @ X_47 @ A_125 ) )
% 0.66/0.83 = ( F_32 @ X_47 @ ( F_31 @ ( minus_minus_pname_o @ A_125 @ ( insert_pname @ X_47 @ bot_bot_pname_o ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_788_folding__one_Oinsert__remove,axiom,
% 0.66/0.83 ! [X_47: hoare_1708887482_state,A_125: hoare_1708887482_state > $o,F_32: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_31: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1615457021_state @ F_32 @ F_31 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_125 )
% 0.66/0.83 => ( ( ( ( minus_2056855718tate_o @ A_125 @ ( insert528405184_state @ X_47 @ bot_bo19817387tate_o ) )
% 0.66/0.83 = bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_31 @ ( insert528405184_state @ X_47 @ A_125 ) )
% 0.66/0.83 = X_47 ) )
% 0.66/0.83 & ( ( ( minus_2056855718tate_o @ A_125 @ ( insert528405184_state @ X_47 @ bot_bo19817387tate_o ) )
% 0.66/0.83 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_31 @ ( insert528405184_state @ X_47 @ A_125 ) )
% 0.66/0.83 = ( F_32 @ X_47 @ ( F_31 @ ( minus_2056855718tate_o @ A_125 @ ( insert528405184_state @ X_47 @ bot_bo19817387tate_o ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_789_folding__one_Oinsert__remove,axiom,
% 0.66/0.83 ! [X_47: pname > $o,A_125: ( pname > $o ) > $o,F_32: ( pname > $o ) > ( pname > $o ) > pname > $o,F_31: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite349908348name_o @ F_32 @ F_31 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_125 )
% 0.66/0.83 => ( ( ( ( minus_1480864103me_o_o @ A_125 @ ( insert_pname_o @ X_47 @ bot_bot_pname_o_o ) )
% 0.66/0.83 = bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_31 @ ( insert_pname_o @ X_47 @ A_125 ) )
% 0.66/0.83 = X_47 ) )
% 0.66/0.83 & ( ( ( minus_1480864103me_o_o @ A_125 @ ( insert_pname_o @ X_47 @ bot_bot_pname_o_o ) )
% 0.66/0.83 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_31 @ ( insert_pname_o @ X_47 @ A_125 ) )
% 0.66/0.83 = ( F_32 @ X_47 @ ( F_31 @ ( minus_1480864103me_o_o @ A_125 @ ( insert_pname_o @ X_47 @ bot_bot_pname_o_o ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_790_folding__one_Oinsert__remove,axiom,
% 0.66/0.83 ! [X_47: hoare_1708887482_state > $o,A_125: ( hoare_1708887482_state > $o ) > $o,F_32: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_31: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite928843026tate_o @ F_32 @ F_31 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_125 )
% 0.66/0.83 => ( ( ( ( minus_548038231te_o_o @ A_125 @ ( insert949073679tate_o @ X_47 @ bot_bo1678742418te_o_o ) )
% 0.66/0.83 = bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_31 @ ( insert949073679tate_o @ X_47 @ A_125 ) )
% 0.66/0.83 = X_47 ) )
% 0.66/0.83 & ( ( ( minus_548038231te_o_o @ A_125 @ ( insert949073679tate_o @ X_47 @ bot_bo1678742418te_o_o ) )
% 0.66/0.83 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_31 @ ( insert949073679tate_o @ X_47 @ A_125 ) )
% 0.66/0.83 = ( F_32 @ X_47 @ ( F_31 @ ( minus_548038231te_o_o @ A_125 @ ( insert949073679tate_o @ X_47 @ bot_bo1678742418te_o_o ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_791_folding__one_Oremove,axiom,
% 0.66/0.83 ! [X_46: com,A_124: com > $o,F_30: com > com > com,F_29: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite860057415ne_com @ F_30 @ F_29 )
% 0.66/0.83 => ( ( finite_finite_com @ A_124 )
% 0.66/0.83 => ( ( member_com @ X_46 @ A_124 )
% 0.66/0.83 => ( ( ( ( minus_minus_com_o @ A_124 @ ( insert_com @ X_46 @ bot_bot_com_o ) )
% 0.66/0.83 = bot_bot_com_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = X_46 ) )
% 0.66/0.83 & ( ( ( minus_minus_com_o @ A_124 @ ( insert_com @ X_46 @ bot_bot_com_o ) )
% 0.66/0.83 != bot_bot_com_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = ( F_30 @ X_46 @ ( F_29 @ ( minus_minus_com_o @ A_124 @ ( insert_com @ X_46 @ bot_bot_com_o ) ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_792_folding__one_Oremove,axiom,
% 0.66/0.83 ! [X_46: pname,A_124: pname > $o,F_30: pname > pname > pname,F_29: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite1282449217_pname @ F_30 @ F_29 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_124 )
% 0.66/0.83 => ( ( member_pname @ X_46 @ A_124 )
% 0.66/0.83 => ( ( ( ( minus_minus_pname_o @ A_124 @ ( insert_pname @ X_46 @ bot_bot_pname_o ) )
% 0.66/0.83 = bot_bot_pname_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = X_46 ) )
% 0.66/0.83 & ( ( ( minus_minus_pname_o @ A_124 @ ( insert_pname @ X_46 @ bot_bot_pname_o ) )
% 0.66/0.83 != bot_bot_pname_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = ( F_30 @ X_46 @ ( F_29 @ ( minus_minus_pname_o @ A_124 @ ( insert_pname @ X_46 @ bot_bot_pname_o ) ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_793_folding__one_Oremove,axiom,
% 0.66/0.83 ! [X_46: hoare_1708887482_state,A_124: hoare_1708887482_state > $o,F_30: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_29: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1615457021_state @ F_30 @ F_29 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_124 )
% 0.66/0.83 => ( ( member451959335_state @ X_46 @ A_124 )
% 0.66/0.83 => ( ( ( ( minus_2056855718tate_o @ A_124 @ ( insert528405184_state @ X_46 @ bot_bo19817387tate_o ) )
% 0.66/0.83 = bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = X_46 ) )
% 0.66/0.83 & ( ( ( minus_2056855718tate_o @ A_124 @ ( insert528405184_state @ X_46 @ bot_bo19817387tate_o ) )
% 0.66/0.83 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = ( F_30 @ X_46 @ ( F_29 @ ( minus_2056855718tate_o @ A_124 @ ( insert528405184_state @ X_46 @ bot_bo19817387tate_o ) ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_794_folding__one_Oremove,axiom,
% 0.66/0.83 ! [X_46: pname > $o,A_124: ( pname > $o ) > $o,F_30: ( pname > $o ) > ( pname > $o ) > pname > $o,F_29: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite349908348name_o @ F_30 @ F_29 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_124 )
% 0.66/0.83 => ( ( member_pname_o @ X_46 @ A_124 )
% 0.66/0.83 => ( ( ( ( minus_1480864103me_o_o @ A_124 @ ( insert_pname_o @ X_46 @ bot_bot_pname_o_o ) )
% 0.66/0.83 = bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = X_46 ) )
% 0.66/0.83 & ( ( ( minus_1480864103me_o_o @ A_124 @ ( insert_pname_o @ X_46 @ bot_bot_pname_o_o ) )
% 0.66/0.83 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = ( F_30 @ X_46 @ ( F_29 @ ( minus_1480864103me_o_o @ A_124 @ ( insert_pname_o @ X_46 @ bot_bot_pname_o_o ) ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_795_folding__one_Oremove,axiom,
% 0.66/0.83 ! [X_46: hoare_1708887482_state > $o,A_124: ( hoare_1708887482_state > $o ) > $o,F_30: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_29: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite928843026tate_o @ F_30 @ F_29 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_124 )
% 0.66/0.83 => ( ( member814030440tate_o @ X_46 @ A_124 )
% 0.66/0.83 => ( ( ( ( minus_548038231te_o_o @ A_124 @ ( insert949073679tate_o @ X_46 @ bot_bo1678742418te_o_o ) )
% 0.66/0.83 = bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = X_46 ) )
% 0.66/0.83 & ( ( ( minus_548038231te_o_o @ A_124 @ ( insert949073679tate_o @ X_46 @ bot_bo1678742418te_o_o ) )
% 0.66/0.83 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( F_29 @ A_124 )
% 0.66/0.83 = ( F_30 @ X_46 @ ( F_29 @ ( minus_548038231te_o_o @ A_124 @ ( insert949073679tate_o @ X_46 @ bot_bo1678742418te_o_o ) ) ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_796_is__none__code_I2_J,axiom,
% 0.66/0.83 ! [X_45: pname] :
% 0.66/0.83 ~ ( is_none_pname @ ( some_pname @ X_45 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_797_is__none__code_I2_J,axiom,
% 0.66/0.83 ! [X_45: hoare_1708887482_state] :
% 0.66/0.83 ~ ( is_non163157940_state @ ( some_H1974565227_state @ X_45 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_798_is__none__code_I2_J,axiom,
% 0.66/0.83 ! [X_45: com] :
% 0.66/0.83 ~ ( is_none_com @ ( some_com @ X_45 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_799_conseq,axiom,
% 0.66/0.83 ! [Q_2: state > state > $o,G_6: hoare_1708887482_state > $o,C_32: com,P_7: state > state > $o] :
% 0.66/0.83 ( ! [Z_11: state,S_2: state] :
% 0.66/0.83 ( ( P_7 @ Z_11 @ S_2 )
% 0.66/0.83 => ? [P_8: state > state > $o,Q_3: state > state > $o] :
% 0.66/0.83 ( ( hoare_90032982_state @ G_6 @ ( insert528405184_state @ ( hoare_858012674_state @ P_8 @ C_32 @ Q_3 ) @ bot_bo19817387tate_o ) )
% 0.66/0.83 & ! [S_3: state] :
% 0.66/0.83 ( ! [Z_12: state] :
% 0.66/0.83 ( ( P_8 @ Z_12 @ S_2 )
% 0.66/0.83 => ( Q_3 @ Z_12 @ S_3 ) )
% 0.66/0.83 => ( Q_2 @ Z_11 @ S_3 ) ) ) )
% 0.66/0.83 => ( hoare_90032982_state @ G_6 @ ( insert528405184_state @ ( hoare_858012674_state @ P_7 @ C_32 @ Q_2 ) @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_800_IntE,axiom,
% 0.66/0.83 ! [C_31: com,A_123: com > $o,B_78: com > $o] :
% 0.66/0.83 ( ( member_com @ C_31 @ ( semila513601829_com_o @ A_123 @ B_78 ) )
% 0.66/0.83 => ~ ( ( member_com @ C_31 @ A_123 )
% 0.66/0.83 => ~ ( member_com @ C_31 @ B_78 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_801_IntE,axiom,
% 0.66/0.83 ! [C_31: pname,A_123: pname > $o,B_78: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_31 @ ( semila1673364395name_o @ A_123 @ B_78 ) )
% 0.66/0.83 => ~ ( ( member_pname @ C_31 @ A_123 )
% 0.66/0.83 => ~ ( member_pname @ C_31 @ B_78 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_802_IntE,axiom,
% 0.66/0.83 ! [C_31: hoare_1708887482_state,A_123: hoare_1708887482_state > $o,B_78: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_31 @ ( semila129691299tate_o @ A_123 @ B_78 ) )
% 0.66/0.83 => ~ ( ( member451959335_state @ C_31 @ A_123 )
% 0.66/0.83 => ~ ( member451959335_state @ C_31 @ B_78 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_803_IntI,axiom,
% 0.66/0.83 ! [B_77: com > $o,C_30: com,A_122: com > $o] :
% 0.66/0.83 ( ( member_com @ C_30 @ A_122 )
% 0.66/0.83 => ( ( member_com @ C_30 @ B_77 )
% 0.66/0.83 => ( member_com @ C_30 @ ( semila513601829_com_o @ A_122 @ B_77 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_804_IntI,axiom,
% 0.66/0.83 ! [B_77: pname > $o,C_30: pname,A_122: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_30 @ A_122 )
% 0.66/0.83 => ( ( member_pname @ C_30 @ B_77 )
% 0.66/0.83 => ( member_pname @ C_30 @ ( semila1673364395name_o @ A_122 @ B_77 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_805_IntI,axiom,
% 0.66/0.83 ! [B_77: hoare_1708887482_state > $o,C_30: hoare_1708887482_state,A_122: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_30 @ A_122 )
% 0.66/0.83 => ( ( member451959335_state @ C_30 @ B_77 )
% 0.66/0.83 => ( member451959335_state @ C_30 @ ( semila129691299tate_o @ A_122 @ B_77 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_806_DiffE,axiom,
% 0.66/0.83 ! [C_29: com,A_121: com > $o,B_76: com > $o] :
% 0.66/0.83 ( ( member_com @ C_29 @ ( minus_minus_com_o @ A_121 @ B_76 ) )
% 0.66/0.83 => ~ ( ( member_com @ C_29 @ A_121 )
% 0.66/0.83 => ( member_com @ C_29 @ B_76 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_807_DiffE,axiom,
% 0.66/0.83 ! [C_29: pname,A_121: pname > $o,B_76: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_29 @ ( minus_minus_pname_o @ A_121 @ B_76 ) )
% 0.66/0.83 => ~ ( ( member_pname @ C_29 @ A_121 )
% 0.66/0.83 => ( member_pname @ C_29 @ B_76 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_808_DiffE,axiom,
% 0.66/0.83 ! [C_29: hoare_1708887482_state,A_121: hoare_1708887482_state > $o,B_76: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_29 @ ( minus_2056855718tate_o @ A_121 @ B_76 ) )
% 0.66/0.83 => ~ ( ( member451959335_state @ C_29 @ A_121 )
% 0.66/0.83 => ( member451959335_state @ C_29 @ B_76 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_809_DiffI,axiom,
% 0.66/0.83 ! [B_75: com > $o,C_28: com,A_120: com > $o] :
% 0.66/0.83 ( ( member_com @ C_28 @ A_120 )
% 0.66/0.83 => ( ~ ( member_com @ C_28 @ B_75 )
% 0.66/0.83 => ( member_com @ C_28 @ ( minus_minus_com_o @ A_120 @ B_75 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_810_DiffI,axiom,
% 0.66/0.83 ! [B_75: pname > $o,C_28: pname,A_120: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_28 @ A_120 )
% 0.66/0.83 => ( ~ ( member_pname @ C_28 @ B_75 )
% 0.66/0.83 => ( member_pname @ C_28 @ ( minus_minus_pname_o @ A_120 @ B_75 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_811_DiffI,axiom,
% 0.66/0.83 ! [B_75: hoare_1708887482_state > $o,C_28: hoare_1708887482_state,A_120: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_28 @ A_120 )
% 0.66/0.83 => ( ~ ( member451959335_state @ C_28 @ B_75 )
% 0.66/0.83 => ( member451959335_state @ C_28 @ ( minus_2056855718tate_o @ A_120 @ B_75 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_812_finite__Int,axiom,
% 0.66/0.83 ! [G_5: ( pname > $o ) > $o,F_28: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( ( finite297249702name_o @ F_28 )
% 0.66/0.83 | ( finite297249702name_o @ G_5 ) )
% 0.66/0.83 => ( finite297249702name_o @ ( semila2013987940me_o_o @ F_28 @ G_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_813_finite__Int,axiom,
% 0.66/0.83 ! [G_5: ( hoare_1708887482_state > $o ) > $o,F_28: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( ( finite1329924456tate_o @ F_28 )
% 0.66/0.83 | ( finite1329924456tate_o @ G_5 ) )
% 0.66/0.83 => ( finite1329924456tate_o @ ( semila598060698te_o_o @ F_28 @ G_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_814_finite__Int,axiom,
% 0.66/0.83 ! [G_5: pname > $o,F_28: pname > $o] :
% 0.66/0.83 ( ( ( finite_finite_pname @ F_28 )
% 0.66/0.83 | ( finite_finite_pname @ G_5 ) )
% 0.66/0.83 => ( finite_finite_pname @ ( semila1673364395name_o @ F_28 @ G_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_815_finite__Int,axiom,
% 0.66/0.83 ! [G_5: hoare_1708887482_state > $o,F_28: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ( finite1625599783_state @ F_28 )
% 0.66/0.83 | ( finite1625599783_state @ G_5 ) )
% 0.66/0.83 => ( finite1625599783_state @ ( semila129691299tate_o @ F_28 @ G_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_816_finite__Diff,axiom,
% 0.66/0.83 ! [B_74: ( pname > $o ) > $o,A_119: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_119 )
% 0.66/0.83 => ( finite297249702name_o @ ( minus_1480864103me_o_o @ A_119 @ B_74 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_817_finite__Diff,axiom,
% 0.66/0.83 ! [B_74: ( hoare_1708887482_state > $o ) > $o,A_119: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_119 )
% 0.66/0.83 => ( finite1329924456tate_o @ ( minus_548038231te_o_o @ A_119 @ B_74 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_818_finite__Diff,axiom,
% 0.66/0.83 ! [B_74: pname > $o,A_119: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ A_119 )
% 0.66/0.83 => ( finite_finite_pname @ ( minus_minus_pname_o @ A_119 @ B_74 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_819_finite__Diff,axiom,
% 0.66/0.83 ! [B_74: hoare_1708887482_state > $o,A_119: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ A_119 )
% 0.66/0.83 => ( finite1625599783_state @ ( minus_2056855718tate_o @ A_119 @ B_74 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_820_inf__Int__eq,axiom,
% 0.66/0.83 ! [R: com > $o,S_1: com > $o,X_3: com] :
% 0.66/0.83 ( ( semila513601829_com_o
% 0.66/0.83 @ ^ [Y_4: com] : ( member_com @ Y_4 @ R )
% 0.66/0.83 @ ^ [Y_4: com] : ( member_com @ Y_4 @ S_1 )
% 0.66/0.83 @ X_3 )
% 0.66/0.83 <=> ( member_com @ X_3 @ ( semila513601829_com_o @ R @ S_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_821_inf__Int__eq,axiom,
% 0.66/0.83 ! [R: pname > $o,S_1: pname > $o,X_3: pname] :
% 0.66/0.83 ( ( semila1673364395name_o
% 0.66/0.83 @ ^ [Y_4: pname] : ( member_pname @ Y_4 @ R )
% 0.66/0.83 @ ^ [Y_4: pname] : ( member_pname @ Y_4 @ S_1 )
% 0.66/0.83 @ X_3 )
% 0.66/0.83 <=> ( member_pname @ X_3 @ ( semila1673364395name_o @ R @ S_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_822_inf__Int__eq,axiom,
% 0.66/0.83 ! [R: hoare_1708887482_state > $o,S_1: hoare_1708887482_state > $o,X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( semila129691299tate_o
% 0.66/0.83 @ ^ [Y_4: hoare_1708887482_state] : ( member451959335_state @ Y_4 @ R )
% 0.66/0.83 @ ^ [Y_4: hoare_1708887482_state] : ( member451959335_state @ Y_4 @ S_1 )
% 0.66/0.83 @ X_3 )
% 0.66/0.83 <=> ( member451959335_state @ X_3 @ ( semila129691299tate_o @ R @ S_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_823_Diff__disjoint,axiom,
% 0.66/0.83 ! [A_118: com > $o,B_73: com > $o] :
% 0.66/0.83 ( ( semila513601829_com_o @ A_118 @ ( minus_minus_com_o @ B_73 @ A_118 ) )
% 0.66/0.83 = bot_bot_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_824_Diff__disjoint,axiom,
% 0.66/0.83 ! [A_118: pname > $o,B_73: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ A_118 @ ( minus_minus_pname_o @ B_73 @ A_118 ) )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_825_Diff__disjoint,axiom,
% 0.66/0.83 ! [A_118: hoare_1708887482_state > $o,B_73: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ A_118 @ ( minus_2056855718tate_o @ B_73 @ A_118 ) )
% 0.66/0.83 = bot_bo19817387tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_826_Diff__triv,axiom,
% 0.66/0.83 ! [A_117: com > $o,B_72: com > $o] :
% 0.66/0.83 ( ( ( semila513601829_com_o @ A_117 @ B_72 )
% 0.66/0.83 = bot_bot_com_o )
% 0.66/0.83 => ( ( minus_minus_com_o @ A_117 @ B_72 )
% 0.66/0.83 = A_117 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_827_Diff__triv,axiom,
% 0.66/0.83 ! [A_117: pname > $o,B_72: pname > $o] :
% 0.66/0.83 ( ( ( semila1673364395name_o @ A_117 @ B_72 )
% 0.66/0.83 = bot_bot_pname_o )
% 0.66/0.83 => ( ( minus_minus_pname_o @ A_117 @ B_72 )
% 0.66/0.83 = A_117 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_828_Diff__triv,axiom,
% 0.66/0.83 ! [A_117: hoare_1708887482_state > $o,B_72: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ( semila129691299tate_o @ A_117 @ B_72 )
% 0.66/0.83 = bot_bo19817387tate_o )
% 0.66/0.83 => ( ( minus_2056855718tate_o @ A_117 @ B_72 )
% 0.66/0.83 = A_117 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_829_DiffD2,axiom,
% 0.66/0.83 ! [C_27: com,A_116: com > $o,B_71: com > $o] :
% 0.66/0.83 ( ( member_com @ C_27 @ ( minus_minus_com_o @ A_116 @ B_71 ) )
% 0.66/0.83 => ~ ( member_com @ C_27 @ B_71 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_830_DiffD2,axiom,
% 0.66/0.83 ! [C_27: pname,A_116: pname > $o,B_71: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_27 @ ( minus_minus_pname_o @ A_116 @ B_71 ) )
% 0.66/0.83 => ~ ( member_pname @ C_27 @ B_71 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_831_DiffD2,axiom,
% 0.66/0.83 ! [C_27: hoare_1708887482_state,A_116: hoare_1708887482_state > $o,B_71: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_27 @ ( minus_2056855718tate_o @ A_116 @ B_71 ) )
% 0.66/0.83 => ~ ( member451959335_state @ C_27 @ B_71 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_832_IntD2,axiom,
% 0.66/0.83 ! [C_26: com,A_115: com > $o,B_70: com > $o] :
% 0.66/0.83 ( ( member_com @ C_26 @ ( semila513601829_com_o @ A_115 @ B_70 ) )
% 0.66/0.83 => ( member_com @ C_26 @ B_70 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_833_IntD2,axiom,
% 0.66/0.83 ! [C_26: pname,A_115: pname > $o,B_70: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_26 @ ( semila1673364395name_o @ A_115 @ B_70 ) )
% 0.66/0.83 => ( member_pname @ C_26 @ B_70 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_834_IntD2,axiom,
% 0.66/0.83 ! [C_26: hoare_1708887482_state,A_115: hoare_1708887482_state > $o,B_70: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_26 @ ( semila129691299tate_o @ A_115 @ B_70 ) )
% 0.66/0.83 => ( member451959335_state @ C_26 @ B_70 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_835_IntD1,axiom,
% 0.66/0.83 ! [C_25: com,A_114: com > $o,B_69: com > $o] :
% 0.66/0.83 ( ( member_com @ C_25 @ ( semila513601829_com_o @ A_114 @ B_69 ) )
% 0.66/0.83 => ( member_com @ C_25 @ A_114 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_836_IntD1,axiom,
% 0.66/0.83 ! [C_25: pname,A_114: pname > $o,B_69: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_25 @ ( semila1673364395name_o @ A_114 @ B_69 ) )
% 0.66/0.83 => ( member_pname @ C_25 @ A_114 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_837_IntD1,axiom,
% 0.66/0.83 ! [C_25: hoare_1708887482_state,A_114: hoare_1708887482_state > $o,B_69: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_25 @ ( semila129691299tate_o @ A_114 @ B_69 ) )
% 0.66/0.83 => ( member451959335_state @ C_25 @ A_114 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_838_DiffD1,axiom,
% 0.66/0.83 ! [C_24: com,A_113: com > $o,B_68: com > $o] :
% 0.66/0.83 ( ( member_com @ C_24 @ ( minus_minus_com_o @ A_113 @ B_68 ) )
% 0.66/0.83 => ( member_com @ C_24 @ A_113 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_839_DiffD1,axiom,
% 0.66/0.83 ! [C_24: pname,A_113: pname > $o,B_68: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_24 @ ( minus_minus_pname_o @ A_113 @ B_68 ) )
% 0.66/0.83 => ( member_pname @ C_24 @ A_113 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_840_DiffD1,axiom,
% 0.66/0.83 ! [C_24: hoare_1708887482_state,A_113: hoare_1708887482_state > $o,B_68: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_24 @ ( minus_2056855718tate_o @ A_113 @ B_68 ) )
% 0.66/0.83 => ( member451959335_state @ C_24 @ A_113 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_841_Int__iff,axiom,
% 0.66/0.83 ! [C_23: com,A_112: com > $o,B_67: com > $o] :
% 0.66/0.83 ( ( member_com @ C_23 @ ( semila513601829_com_o @ A_112 @ B_67 ) )
% 0.66/0.83 <=> ( ( member_com @ C_23 @ A_112 )
% 0.66/0.83 & ( member_com @ C_23 @ B_67 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_842_Int__iff,axiom,
% 0.66/0.83 ! [C_23: pname,A_112: pname > $o,B_67: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_23 @ ( semila1673364395name_o @ A_112 @ B_67 ) )
% 0.66/0.83 <=> ( ( member_pname @ C_23 @ A_112 )
% 0.66/0.83 & ( member_pname @ C_23 @ B_67 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_843_Int__iff,axiom,
% 0.66/0.83 ! [C_23: hoare_1708887482_state,A_112: hoare_1708887482_state > $o,B_67: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_23 @ ( semila129691299tate_o @ A_112 @ B_67 ) )
% 0.66/0.83 <=> ( ( member451959335_state @ C_23 @ A_112 )
% 0.66/0.83 & ( member451959335_state @ C_23 @ B_67 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_844_Diff__iff,axiom,
% 0.66/0.83 ! [C_22: com,A_111: com > $o,B_66: com > $o] :
% 0.66/0.83 ( ( member_com @ C_22 @ ( minus_minus_com_o @ A_111 @ B_66 ) )
% 0.66/0.83 <=> ( ( member_com @ C_22 @ A_111 )
% 0.66/0.83 & ~ ( member_com @ C_22 @ B_66 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_845_Diff__iff,axiom,
% 0.66/0.83 ! [C_22: pname,A_111: pname > $o,B_66: pname > $o] :
% 0.66/0.83 ( ( member_pname @ C_22 @ ( minus_minus_pname_o @ A_111 @ B_66 ) )
% 0.66/0.83 <=> ( ( member_pname @ C_22 @ A_111 )
% 0.66/0.83 & ~ ( member_pname @ C_22 @ B_66 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_846_Diff__iff,axiom,
% 0.66/0.83 ! [C_22: hoare_1708887482_state,A_111: hoare_1708887482_state > $o,B_66: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ C_22 @ ( minus_2056855718tate_o @ A_111 @ B_66 ) )
% 0.66/0.83 <=> ( ( member451959335_state @ C_22 @ A_111 )
% 0.66/0.83 & ~ ( member451959335_state @ C_22 @ B_66 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_847_Int__def,axiom,
% 0.66/0.83 ! [A_110: com > $o,B_65: com > $o] :
% 0.66/0.83 ( ( semila513601829_com_o @ A_110 @ B_65 )
% 0.66/0.83 = ( collect_com
% 0.66/0.83 @ ^ [X_3: com] : ( (&) @ ( member_com @ X_3 @ A_110 ) @ ( member_com @ X_3 @ B_65 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_848_Int__def,axiom,
% 0.66/0.83 ! [A_110: pname > $o,B_65: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ A_110 @ B_65 )
% 0.66/0.83 = ( collect_pname
% 0.66/0.83 @ ^ [X_3: pname] : ( (&) @ ( member_pname @ X_3 @ A_110 ) @ ( member_pname @ X_3 @ B_65 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_849_Int__def,axiom,
% 0.66/0.83 ! [A_110: hoare_1708887482_state > $o,B_65: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ A_110 @ B_65 )
% 0.66/0.83 = ( collec1568722789_state
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state] : ( (&) @ ( member451959335_state @ X_3 @ A_110 ) @ ( member451959335_state @ X_3 @ B_65 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_850_Int__def,axiom,
% 0.66/0.83 ! [A_110: ( pname > $o ) > $o,B_65: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( semila2013987940me_o_o @ A_110 @ B_65 )
% 0.66/0.83 = ( collect_pname_o
% 0.66/0.83 @ ^ [X_3: pname > $o] : ( (&) @ ( member_pname_o @ X_3 @ A_110 ) @ ( member_pname_o @ X_3 @ B_65 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_851_Int__def,axiom,
% 0.66/0.83 ! [A_110: ( hoare_1708887482_state > $o ) > $o,B_65: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( semila598060698te_o_o @ A_110 @ B_65 )
% 0.66/0.83 = ( collec219771562tate_o
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state > $o] : ( (&) @ ( member814030440tate_o @ X_3 @ A_110 ) @ ( member814030440tate_o @ X_3 @ B_65 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_852_set__diff__eq,axiom,
% 0.66/0.83 ! [A_109: com > $o,B_64: com > $o] :
% 0.66/0.83 ( ( minus_minus_com_o @ A_109 @ B_64 )
% 0.66/0.83 = ( collect_com
% 0.66/0.83 @ ^ [X_3: com] : ( (&) @ ( member_com @ X_3 @ A_109 ) @ ( (~) @ ( member_com @ X_3 @ B_64 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_853_set__diff__eq,axiom,
% 0.66/0.83 ! [A_109: pname > $o,B_64: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ A_109 @ B_64 )
% 0.66/0.83 = ( collect_pname
% 0.66/0.83 @ ^ [X_3: pname] : ( (&) @ ( member_pname @ X_3 @ A_109 ) @ ( (~) @ ( member_pname @ X_3 @ B_64 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_854_set__diff__eq,axiom,
% 0.66/0.83 ! [A_109: hoare_1708887482_state > $o,B_64: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ A_109 @ B_64 )
% 0.66/0.83 = ( collec1568722789_state
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state] : ( (&) @ ( member451959335_state @ X_3 @ A_109 ) @ ( (~) @ ( member451959335_state @ X_3 @ B_64 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_855_set__diff__eq,axiom,
% 0.66/0.83 ! [A_109: ( pname > $o ) > $o,B_64: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( minus_1480864103me_o_o @ A_109 @ B_64 )
% 0.66/0.83 = ( collect_pname_o
% 0.66/0.83 @ ^ [X_3: pname > $o] : ( (&) @ ( member_pname_o @ X_3 @ A_109 ) @ ( (~) @ ( member_pname_o @ X_3 @ B_64 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_856_set__diff__eq,axiom,
% 0.66/0.83 ! [A_109: ( hoare_1708887482_state > $o ) > $o,B_64: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( minus_548038231te_o_o @ A_109 @ B_64 )
% 0.66/0.83 = ( collec219771562tate_o
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state > $o] : ( (&) @ ( member814030440tate_o @ X_3 @ A_109 ) @ ( (~) @ ( member814030440tate_o @ X_3 @ B_64 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_857_Int__Collect,axiom,
% 0.66/0.83 ! [X_44: com,A_108: com > $o,P_6: com > $o] :
% 0.66/0.83 ( ( member_com @ X_44 @ ( semila513601829_com_o @ A_108 @ ( collect_com @ P_6 ) ) )
% 0.66/0.83 <=> ( ( member_com @ X_44 @ A_108 )
% 0.66/0.83 & ( P_6 @ X_44 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_858_Int__Collect,axiom,
% 0.66/0.83 ! [X_44: pname,A_108: pname > $o,P_6: pname > $o] :
% 0.66/0.83 ( ( member_pname @ X_44 @ ( semila1673364395name_o @ A_108 @ ( collect_pname @ P_6 ) ) )
% 0.66/0.83 <=> ( ( member_pname @ X_44 @ A_108 )
% 0.66/0.83 & ( P_6 @ X_44 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_859_Int__Collect,axiom,
% 0.66/0.83 ! [X_44: hoare_1708887482_state,A_108: hoare_1708887482_state > $o,P_6: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ X_44 @ ( semila129691299tate_o @ A_108 @ ( collec1568722789_state @ P_6 ) ) )
% 0.66/0.83 <=> ( ( member451959335_state @ X_44 @ A_108 )
% 0.66/0.83 & ( P_6 @ X_44 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_860_Int__Collect,axiom,
% 0.66/0.83 ! [X_44: pname > $o,A_108: ( pname > $o ) > $o,P_6: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( member_pname_o @ X_44 @ ( semila2013987940me_o_o @ A_108 @ ( collect_pname_o @ P_6 ) ) )
% 0.66/0.83 <=> ( ( member_pname_o @ X_44 @ A_108 )
% 0.66/0.83 & ( P_6 @ X_44 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_861_Int__Collect,axiom,
% 0.66/0.83 ! [X_44: hoare_1708887482_state > $o,A_108: ( hoare_1708887482_state > $o ) > $o,P_6: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( member814030440tate_o @ X_44 @ ( semila598060698te_o_o @ A_108 @ ( collec219771562tate_o @ P_6 ) ) )
% 0.66/0.83 <=> ( ( member814030440tate_o @ X_44 @ A_108 )
% 0.66/0.83 & ( P_6 @ X_44 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_862_Collect__conj__eq,axiom,
% 0.66/0.83 ! [P_5: hoare_1708887482_state > $o,Q_1: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( collec1568722789_state
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state] : ( (&) @ ( P_5 @ X_3 ) @ ( Q_1 @ X_3 ) ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( collec1568722789_state @ P_5 ) @ ( collec1568722789_state @ Q_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_863_Collect__conj__eq,axiom,
% 0.66/0.83 ! [P_5: pname > $o,Q_1: pname > $o] :
% 0.66/0.83 ( ( collect_pname
% 0.66/0.83 @ ^ [X_3: pname] : ( (&) @ ( P_5 @ X_3 ) @ ( Q_1 @ X_3 ) ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( collect_pname @ P_5 ) @ ( collect_pname @ Q_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_864_Collect__conj__eq,axiom,
% 0.66/0.83 ! [P_5: ( pname > $o ) > $o,Q_1: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( collect_pname_o
% 0.66/0.83 @ ^ [X_3: pname > $o] : ( (&) @ ( P_5 @ X_3 ) @ ( Q_1 @ X_3 ) ) )
% 0.66/0.83 = ( semila2013987940me_o_o @ ( collect_pname_o @ P_5 ) @ ( collect_pname_o @ Q_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_865_Collect__conj__eq,axiom,
% 0.66/0.83 ! [P_5: ( hoare_1708887482_state > $o ) > $o,Q_1: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( collec219771562tate_o
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state > $o] : ( (&) @ ( P_5 @ X_3 ) @ ( Q_1 @ X_3 ) ) )
% 0.66/0.83 = ( semila598060698te_o_o @ ( collec219771562tate_o @ P_5 ) @ ( collec219771562tate_o @ Q_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_866_Diff__Int,axiom,
% 0.66/0.83 ! [A_107: pname > $o,B_63: pname > $o,C_21: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ A_107 @ ( semila1673364395name_o @ B_63 @ C_21 ) )
% 0.66/0.83 = ( semila1780557381name_o @ ( minus_minus_pname_o @ A_107 @ B_63 ) @ ( minus_minus_pname_o @ A_107 @ C_21 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_867_Diff__Int,axiom,
% 0.66/0.83 ! [A_107: hoare_1708887482_state > $o,B_63: hoare_1708887482_state > $o,C_21: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ A_107 @ ( semila129691299tate_o @ B_63 @ C_21 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ ( minus_2056855718tate_o @ A_107 @ B_63 ) @ ( minus_2056855718tate_o @ A_107 @ C_21 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_868_Diff__Un,axiom,
% 0.66/0.83 ! [A_106: pname > $o,B_62: pname > $o,C_20: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ A_106 @ ( semila1780557381name_o @ B_62 @ C_20 ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( minus_minus_pname_o @ A_106 @ B_62 ) @ ( minus_minus_pname_o @ A_106 @ C_20 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_869_Diff__Un,axiom,
% 0.66/0.83 ! [A_106: hoare_1708887482_state > $o,B_62: hoare_1708887482_state > $o,C_20: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ A_106 @ ( semila1122118281tate_o @ B_62 @ C_20 ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( minus_2056855718tate_o @ A_106 @ B_62 ) @ ( minus_2056855718tate_o @ A_106 @ C_20 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_870_Un__Diff__Int,axiom,
% 0.66/0.83 ! [A_105: pname > $o,B_61: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ ( minus_minus_pname_o @ A_105 @ B_61 ) @ ( semila1673364395name_o @ A_105 @ B_61 ) )
% 0.66/0.83 = A_105 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_871_Un__Diff__Int,axiom,
% 0.66/0.83 ! [A_105: hoare_1708887482_state > $o,B_61: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ ( minus_2056855718tate_o @ A_105 @ B_61 ) @ ( semila129691299tate_o @ A_105 @ B_61 ) )
% 0.66/0.83 = A_105 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_872_inf__sup__ord_I1_J,axiom,
% 0.66/0.83 ! [X_43: $o,Y_24: $o] : ( ord_less_eq_o @ ( semila854092349_inf_o @ X_43 @ Y_24 ) @ X_43 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_873_inf__sup__ord_I1_J,axiom,
% 0.66/0.83 ! [X_43: pname > $o,Y_24: pname > $o] : ( ord_less_eq_pname_o @ ( semila1673364395name_o @ X_43 @ Y_24 ) @ X_43 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_874_inf__sup__ord_I1_J,axiom,
% 0.66/0.83 ! [X_43: hoare_1708887482_state > $o,Y_24: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( semila129691299tate_o @ X_43 @ Y_24 ) @ X_43 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_875_inf__le1,axiom,
% 0.66/0.83 ! [X_42: $o,Y_23: $o] : ( ord_less_eq_o @ ( semila854092349_inf_o @ X_42 @ Y_23 ) @ X_42 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_876_inf__le1,axiom,
% 0.66/0.83 ! [X_42: pname > $o,Y_23: pname > $o] : ( ord_less_eq_pname_o @ ( semila1673364395name_o @ X_42 @ Y_23 ) @ X_42 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_877_inf__le1,axiom,
% 0.66/0.83 ! [X_42: hoare_1708887482_state > $o,Y_23: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( semila129691299tate_o @ X_42 @ Y_23 ) @ X_42 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_878_inf__sup__ord_I2_J,axiom,
% 0.66/0.83 ! [X_41: $o,Y_22: $o] : ( ord_less_eq_o @ ( semila854092349_inf_o @ X_41 @ Y_22 ) @ Y_22 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_879_inf__sup__ord_I2_J,axiom,
% 0.66/0.83 ! [X_41: pname > $o,Y_22: pname > $o] : ( ord_less_eq_pname_o @ ( semila1673364395name_o @ X_41 @ Y_22 ) @ Y_22 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_880_inf__sup__ord_I2_J,axiom,
% 0.66/0.83 ! [X_41: hoare_1708887482_state > $o,Y_22: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( semila129691299tate_o @ X_41 @ Y_22 ) @ Y_22 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_881_inf__le2,axiom,
% 0.66/0.83 ! [X_40: $o,Y_21: $o] : ( ord_less_eq_o @ ( semila854092349_inf_o @ X_40 @ Y_21 ) @ Y_21 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_882_inf__le2,axiom,
% 0.66/0.83 ! [X_40: pname > $o,Y_21: pname > $o] : ( ord_less_eq_pname_o @ ( semila1673364395name_o @ X_40 @ Y_21 ) @ Y_21 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_883_inf__le2,axiom,
% 0.66/0.83 ! [X_40: hoare_1708887482_state > $o,Y_21: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( semila129691299tate_o @ X_40 @ Y_21 ) @ Y_21 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_884_le__iff__inf,axiom,
% 0.66/0.83 ! [X_39: $o,Y_20: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_39 @ Y_20 )
% 0.66/0.83 <=> ( ( semila854092349_inf_o @ X_39 @ Y_20 )
% 0.66/0.83 <=> X_39 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_885_le__iff__inf,axiom,
% 0.66/0.83 ! [X_39: pname > $o,Y_20: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_39 @ Y_20 )
% 0.66/0.83 <=> ( ( semila1673364395name_o @ X_39 @ Y_20 )
% 0.66/0.83 = X_39 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_886_le__iff__inf,axiom,
% 0.66/0.83 ! [X_39: hoare_1708887482_state > $o,Y_20: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_39 @ Y_20 )
% 0.66/0.83 <=> ( ( semila129691299tate_o @ X_39 @ Y_20 )
% 0.66/0.83 = X_39 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_887_le__inf__iff,axiom,
% 0.66/0.83 ! [X_38: $o,Y_19: $o,Z_10: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_38 @ ( semila854092349_inf_o @ Y_19 @ Z_10 ) )
% 0.66/0.83 <=> ( ( ord_less_eq_o @ X_38 @ Y_19 )
% 0.66/0.83 & ( ord_less_eq_o @ X_38 @ Z_10 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_888_le__inf__iff,axiom,
% 0.66/0.83 ! [X_38: pname > $o,Y_19: pname > $o,Z_10: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_38 @ ( semila1673364395name_o @ Y_19 @ Z_10 ) )
% 0.66/0.83 <=> ( ( ord_less_eq_pname_o @ X_38 @ Y_19 )
% 0.66/0.83 & ( ord_less_eq_pname_o @ X_38 @ Z_10 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_889_le__inf__iff,axiom,
% 0.66/0.83 ! [X_38: hoare_1708887482_state > $o,Y_19: hoare_1708887482_state > $o,Z_10: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_38 @ ( semila129691299tate_o @ Y_19 @ Z_10 ) )
% 0.66/0.83 <=> ( ( ord_le777019615tate_o @ X_38 @ Y_19 )
% 0.66/0.83 & ( ord_le777019615tate_o @ X_38 @ Z_10 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_890_le__infI1,axiom,
% 0.66/0.83 ! [B_60: $o,A_104: $o,X_37: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ A_104 @ X_37 )
% 0.66/0.83 => ( ord_less_eq_o @ ( semila854092349_inf_o @ A_104 @ B_60 ) @ X_37 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_891_le__infI1,axiom,
% 0.66/0.83 ! [B_60: pname > $o,A_104: pname > $o,X_37: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_104 @ X_37 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1673364395name_o @ A_104 @ B_60 ) @ X_37 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_892_le__infI1,axiom,
% 0.66/0.83 ! [B_60: hoare_1708887482_state > $o,A_104: hoare_1708887482_state > $o,X_37: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_104 @ X_37 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila129691299tate_o @ A_104 @ B_60 ) @ X_37 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_893_le__infI2,axiom,
% 0.66/0.83 ! [A_103: $o,B_59: $o,X_36: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ B_59 @ X_36 )
% 0.66/0.83 => ( ord_less_eq_o @ ( semila854092349_inf_o @ A_103 @ B_59 ) @ X_36 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_894_le__infI2,axiom,
% 0.66/0.83 ! [A_103: pname > $o,B_59: pname > $o,X_36: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ B_59 @ X_36 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1673364395name_o @ A_103 @ B_59 ) @ X_36 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_895_le__infI2,axiom,
% 0.66/0.83 ! [A_103: hoare_1708887482_state > $o,B_59: hoare_1708887482_state > $o,X_36: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ B_59 @ X_36 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila129691299tate_o @ A_103 @ B_59 ) @ X_36 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_896_inf__absorb1,axiom,
% 0.66/0.83 ! [X_35: $o,Y_18: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_35 @ Y_18 )
% 0.66/0.83 => ( ( semila854092349_inf_o @ X_35 @ Y_18 )
% 0.66/0.83 <=> X_35 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_897_inf__absorb1,axiom,
% 0.66/0.83 ! [X_35: pname > $o,Y_18: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_35 @ Y_18 )
% 0.66/0.83 => ( ( semila1673364395name_o @ X_35 @ Y_18 )
% 0.66/0.83 = X_35 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_898_inf__absorb1,axiom,
% 0.66/0.83 ! [X_35: hoare_1708887482_state > $o,Y_18: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_35 @ Y_18 )
% 0.66/0.83 => ( ( semila129691299tate_o @ X_35 @ Y_18 )
% 0.66/0.83 = X_35 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_899_inf__absorb2,axiom,
% 0.66/0.83 ! [Y_17: $o,X_34: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ Y_17 @ X_34 )
% 0.66/0.83 => ( ( semila854092349_inf_o @ X_34 @ Y_17 )
% 0.66/0.83 <=> Y_17 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_900_inf__absorb2,axiom,
% 0.66/0.83 ! [Y_17: pname > $o,X_34: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ Y_17 @ X_34 )
% 0.66/0.83 => ( ( semila1673364395name_o @ X_34 @ Y_17 )
% 0.66/0.83 = Y_17 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_901_inf__absorb2,axiom,
% 0.66/0.83 ! [Y_17: hoare_1708887482_state > $o,X_34: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ Y_17 @ X_34 )
% 0.66/0.83 => ( ( semila129691299tate_o @ X_34 @ Y_17 )
% 0.66/0.83 = Y_17 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_902_le__infI,axiom,
% 0.66/0.83 ! [B_58: $o,X_33: $o,A_102: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_33 @ A_102 )
% 0.66/0.83 => ( ( ord_less_eq_o @ X_33 @ B_58 )
% 0.66/0.83 => ( ord_less_eq_o @ X_33 @ ( semila854092349_inf_o @ A_102 @ B_58 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_903_le__infI,axiom,
% 0.66/0.83 ! [B_58: pname > $o,X_33: pname > $o,A_102: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_33 @ A_102 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ X_33 @ B_58 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ X_33 @ ( semila1673364395name_o @ A_102 @ B_58 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_904_le__infI,axiom,
% 0.66/0.83 ! [B_58: hoare_1708887482_state > $o,X_33: hoare_1708887482_state > $o,A_102: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_33 @ A_102 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ X_33 @ B_58 )
% 0.66/0.83 => ( ord_le777019615tate_o @ X_33 @ ( semila129691299tate_o @ A_102 @ B_58 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_905_inf__greatest,axiom,
% 0.66/0.83 ! [Z_9: $o,X_32: $o,Y_16: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_32 @ Y_16 )
% 0.66/0.83 => ( ( ord_less_eq_o @ X_32 @ Z_9 )
% 0.66/0.83 => ( ord_less_eq_o @ X_32 @ ( semila854092349_inf_o @ Y_16 @ Z_9 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_906_inf__greatest,axiom,
% 0.66/0.83 ! [Z_9: pname > $o,X_32: pname > $o,Y_16: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_32 @ Y_16 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ X_32 @ Z_9 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ X_32 @ ( semila1673364395name_o @ Y_16 @ Z_9 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_907_inf__greatest,axiom,
% 0.66/0.83 ! [Z_9: hoare_1708887482_state > $o,X_32: hoare_1708887482_state > $o,Y_16: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_32 @ Y_16 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ X_32 @ Z_9 )
% 0.66/0.83 => ( ord_le777019615tate_o @ X_32 @ ( semila129691299tate_o @ Y_16 @ Z_9 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_908_inf__mono,axiom,
% 0.66/0.83 ! [B_57: $o,D_2: $o,A_101: $o,C_19: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ A_101 @ C_19 )
% 0.66/0.83 => ( ( ord_less_eq_o @ B_57 @ D_2 )
% 0.66/0.83 => ( ord_less_eq_o @ ( semila854092349_inf_o @ A_101 @ B_57 ) @ ( semila854092349_inf_o @ C_19 @ D_2 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_909_inf__mono,axiom,
% 0.66/0.83 ! [B_57: pname > $o,D_2: pname > $o,A_101: pname > $o,C_19: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_101 @ C_19 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ B_57 @ D_2 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1673364395name_o @ A_101 @ B_57 ) @ ( semila1673364395name_o @ C_19 @ D_2 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_910_inf__mono,axiom,
% 0.66/0.83 ! [B_57: hoare_1708887482_state > $o,D_2: hoare_1708887482_state > $o,A_101: hoare_1708887482_state > $o,C_19: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_101 @ C_19 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ B_57 @ D_2 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila129691299tate_o @ A_101 @ B_57 ) @ ( semila129691299tate_o @ C_19 @ D_2 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_911_le__infE,axiom,
% 0.66/0.83 ! [X_31: $o,A_100: $o,B_56: $o] :
% 0.66/0.83 ( ( ord_less_eq_o @ X_31 @ ( semila854092349_inf_o @ A_100 @ B_56 ) )
% 0.66/0.83 => ~ ( ( ord_less_eq_o @ X_31 @ A_100 )
% 0.66/0.83 => ~ ( ord_less_eq_o @ X_31 @ B_56 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_912_le__infE,axiom,
% 0.66/0.83 ! [X_31: pname > $o,A_100: pname > $o,B_56: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ X_31 @ ( semila1673364395name_o @ A_100 @ B_56 ) )
% 0.66/0.83 => ~ ( ( ord_less_eq_pname_o @ X_31 @ A_100 )
% 0.66/0.83 => ~ ( ord_less_eq_pname_o @ X_31 @ B_56 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_913_le__infE,axiom,
% 0.66/0.83 ! [X_31: hoare_1708887482_state > $o,A_100: hoare_1708887482_state > $o,B_56: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ X_31 @ ( semila129691299tate_o @ A_100 @ B_56 ) )
% 0.66/0.83 => ~ ( ( ord_le777019615tate_o @ X_31 @ A_100 )
% 0.66/0.83 => ~ ( ord_le777019615tate_o @ X_31 @ B_56 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_914_inf__bot__right,axiom,
% 0.66/0.83 ! [X_30: com > $o] :
% 0.66/0.83 ( ( semila513601829_com_o @ X_30 @ bot_bot_com_o )
% 0.66/0.83 = bot_bot_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_915_inf__bot__right,axiom,
% 0.66/0.83 ! [X_30: $o] :
% 0.66/0.83 ( ( semila854092349_inf_o @ X_30 @ bot_bot_o )
% 0.66/0.83 <=> bot_bot_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_916_inf__bot__right,axiom,
% 0.66/0.83 ! [X_30: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ X_30 @ bot_bot_pname_o )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_917_inf__bot__right,axiom,
% 0.66/0.83 ! [X_30: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ X_30 @ bot_bo19817387tate_o )
% 0.66/0.83 = bot_bo19817387tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_918_inf__bot__left,axiom,
% 0.66/0.83 ! [X_29: com > $o] :
% 0.66/0.83 ( ( semila513601829_com_o @ bot_bot_com_o @ X_29 )
% 0.66/0.83 = bot_bot_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_919_inf__bot__left,axiom,
% 0.66/0.83 ! [X_29: $o] :
% 0.66/0.83 ( ( semila854092349_inf_o @ bot_bot_o @ X_29 )
% 0.66/0.83 <=> bot_bot_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_920_inf__bot__left,axiom,
% 0.66/0.83 ! [X_29: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ bot_bot_pname_o @ X_29 )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_921_inf__bot__left,axiom,
% 0.66/0.83 ! [X_29: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ bot_bo19817387tate_o @ X_29 )
% 0.66/0.83 = bot_bo19817387tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_922_inf__sup__absorb,axiom,
% 0.66/0.83 ! [X_28: $o,Y_15: $o] :
% 0.66/0.83 ( ( semila854092349_inf_o @ X_28 @ ( semila10642723_sup_o @ X_28 @ Y_15 ) )
% 0.66/0.83 <=> X_28 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_923_inf__sup__absorb,axiom,
% 0.66/0.83 ! [X_28: pname > $o,Y_15: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ X_28 @ ( semila1780557381name_o @ X_28 @ Y_15 ) )
% 0.66/0.83 = X_28 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_924_inf__sup__absorb,axiom,
% 0.66/0.83 ! [X_28: hoare_1708887482_state > $o,Y_15: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ X_28 @ ( semila1122118281tate_o @ X_28 @ Y_15 ) )
% 0.66/0.83 = X_28 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_925_sup__inf__absorb,axiom,
% 0.66/0.83 ! [X_27: $o,Y_14: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_27 @ ( semila854092349_inf_o @ X_27 @ Y_14 ) )
% 0.66/0.83 <=> X_27 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_926_sup__inf__absorb,axiom,
% 0.66/0.83 ! [X_27: pname > $o,Y_14: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_27 @ ( semila1673364395name_o @ X_27 @ Y_14 ) )
% 0.66/0.83 = X_27 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_927_sup__inf__absorb,axiom,
% 0.66/0.83 ! [X_27: hoare_1708887482_state > $o,Y_14: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_27 @ ( semila129691299tate_o @ X_27 @ Y_14 ) )
% 0.66/0.83 = X_27 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_928_inf__sup__distrib1,axiom,
% 0.66/0.83 ! [X_26: $o,Y_13: $o,Z_8: $o] :
% 0.66/0.83 ( ( semila854092349_inf_o @ X_26 @ ( semila10642723_sup_o @ Y_13 @ Z_8 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ ( semila854092349_inf_o @ X_26 @ Y_13 ) @ ( semila854092349_inf_o @ X_26 @ Z_8 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_929_inf__sup__distrib1,axiom,
% 0.66/0.83 ! [X_26: pname > $o,Y_13: pname > $o,Z_8: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ X_26 @ ( semila1780557381name_o @ Y_13 @ Z_8 ) )
% 0.66/0.83 = ( semila1780557381name_o @ ( semila1673364395name_o @ X_26 @ Y_13 ) @ ( semila1673364395name_o @ X_26 @ Z_8 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_930_inf__sup__distrib1,axiom,
% 0.66/0.83 ! [X_26: hoare_1708887482_state > $o,Y_13: hoare_1708887482_state > $o,Z_8: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ X_26 @ ( semila1122118281tate_o @ Y_13 @ Z_8 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ ( semila129691299tate_o @ X_26 @ Y_13 ) @ ( semila129691299tate_o @ X_26 @ Z_8 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_931_sup__inf__distrib1,axiom,
% 0.66/0.83 ! [X_25: $o,Y_12: $o,Z_7: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_25 @ ( semila854092349_inf_o @ Y_12 @ Z_7 ) )
% 0.66/0.83 <=> ( semila854092349_inf_o @ ( semila10642723_sup_o @ X_25 @ Y_12 ) @ ( semila10642723_sup_o @ X_25 @ Z_7 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_932_sup__inf__distrib1,axiom,
% 0.66/0.83 ! [X_25: pname > $o,Y_12: pname > $o,Z_7: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_25 @ ( semila1673364395name_o @ Y_12 @ Z_7 ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( semila1780557381name_o @ X_25 @ Y_12 ) @ ( semila1780557381name_o @ X_25 @ Z_7 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_933_sup__inf__distrib1,axiom,
% 0.66/0.83 ! [X_25: hoare_1708887482_state > $o,Y_12: hoare_1708887482_state > $o,Z_7: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_25 @ ( semila129691299tate_o @ Y_12 @ Z_7 ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( semila1122118281tate_o @ X_25 @ Y_12 ) @ ( semila1122118281tate_o @ X_25 @ Z_7 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_934_inf__sup__distrib2,axiom,
% 0.66/0.83 ! [Y_11: $o,Z_6: $o,X_24: $o] :
% 0.66/0.83 ( ( semila854092349_inf_o @ ( semila10642723_sup_o @ Y_11 @ Z_6 ) @ X_24 )
% 0.66/0.83 <=> ( semila10642723_sup_o @ ( semila854092349_inf_o @ Y_11 @ X_24 ) @ ( semila854092349_inf_o @ Z_6 @ X_24 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_935_inf__sup__distrib2,axiom,
% 0.66/0.83 ! [Y_11: pname > $o,Z_6: pname > $o,X_24: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ ( semila1780557381name_o @ Y_11 @ Z_6 ) @ X_24 )
% 0.66/0.83 = ( semila1780557381name_o @ ( semila1673364395name_o @ Y_11 @ X_24 ) @ ( semila1673364395name_o @ Z_6 @ X_24 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_936_inf__sup__distrib2,axiom,
% 0.66/0.83 ! [Y_11: hoare_1708887482_state > $o,Z_6: hoare_1708887482_state > $o,X_24: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ ( semila1122118281tate_o @ Y_11 @ Z_6 ) @ X_24 )
% 0.66/0.83 = ( semila1122118281tate_o @ ( semila129691299tate_o @ Y_11 @ X_24 ) @ ( semila129691299tate_o @ Z_6 @ X_24 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_937_sup__inf__distrib2,axiom,
% 0.66/0.83 ! [Y_10: $o,Z_5: $o,X_23: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ ( semila854092349_inf_o @ Y_10 @ Z_5 ) @ X_23 )
% 0.66/0.83 <=> ( semila854092349_inf_o @ ( semila10642723_sup_o @ Y_10 @ X_23 ) @ ( semila10642723_sup_o @ Z_5 @ X_23 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_938_sup__inf__distrib2,axiom,
% 0.66/0.83 ! [Y_10: pname > $o,Z_5: pname > $o,X_23: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ ( semila1673364395name_o @ Y_10 @ Z_5 ) @ X_23 )
% 0.66/0.83 = ( semila1673364395name_o @ ( semila1780557381name_o @ Y_10 @ X_23 ) @ ( semila1780557381name_o @ Z_5 @ X_23 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_939_sup__inf__distrib2,axiom,
% 0.66/0.83 ! [Y_10: hoare_1708887482_state > $o,Z_5: hoare_1708887482_state > $o,X_23: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ ( semila129691299tate_o @ Y_10 @ Z_5 ) @ X_23 )
% 0.66/0.83 = ( semila129691299tate_o @ ( semila1122118281tate_o @ Y_10 @ X_23 ) @ ( semila1122118281tate_o @ Z_5 @ X_23 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_940_Diff__cancel,axiom,
% 0.66/0.83 ! [A_99: com > $o] :
% 0.66/0.83 ( ( minus_minus_com_o @ A_99 @ A_99 )
% 0.66/0.83 = bot_bot_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_941_Diff__cancel,axiom,
% 0.66/0.83 ! [A_99: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ A_99 @ A_99 )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_942_Diff__cancel,axiom,
% 0.66/0.83 ! [A_99: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ A_99 @ A_99 )
% 0.66/0.83 = bot_bo19817387tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_943_Diff__empty,axiom,
% 0.66/0.83 ! [A_98: com > $o] :
% 0.66/0.83 ( ( minus_minus_com_o @ A_98 @ bot_bot_com_o )
% 0.66/0.83 = A_98 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_944_Diff__empty,axiom,
% 0.66/0.83 ! [A_98: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ A_98 @ bot_bot_pname_o )
% 0.66/0.83 = A_98 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_945_Diff__empty,axiom,
% 0.66/0.83 ! [A_98: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ A_98 @ bot_bo19817387tate_o )
% 0.66/0.83 = A_98 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_946_empty__Diff,axiom,
% 0.66/0.83 ! [A_97: com > $o] :
% 0.66/0.83 ( ( minus_minus_com_o @ bot_bot_com_o @ A_97 )
% 0.66/0.83 = bot_bot_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_947_empty__Diff,axiom,
% 0.66/0.83 ! [A_97: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ bot_bot_pname_o @ A_97 )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_948_empty__Diff,axiom,
% 0.66/0.83 ! [A_97: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ bot_bo19817387tate_o @ A_97 )
% 0.66/0.83 = bot_bo19817387tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_949_finite__Diff2,axiom,
% 0.66/0.83 ! [A_96: ( pname > $o ) > $o,B_55: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ B_55 )
% 0.66/0.83 => ( ( finite297249702name_o @ ( minus_1480864103me_o_o @ A_96 @ B_55 ) )
% 0.66/0.83 <=> ( finite297249702name_o @ A_96 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_950_finite__Diff2,axiom,
% 0.66/0.83 ! [A_96: ( hoare_1708887482_state > $o ) > $o,B_55: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ B_55 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ ( minus_548038231te_o_o @ A_96 @ B_55 ) )
% 0.66/0.83 <=> ( finite1329924456tate_o @ A_96 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_951_finite__Diff2,axiom,
% 0.66/0.83 ! [A_96: pname > $o,B_55: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ B_55 )
% 0.66/0.83 => ( ( finite_finite_pname @ ( minus_minus_pname_o @ A_96 @ B_55 ) )
% 0.66/0.83 <=> ( finite_finite_pname @ A_96 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_952_finite__Diff2,axiom,
% 0.66/0.83 ! [A_96: hoare_1708887482_state > $o,B_55: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ B_55 )
% 0.66/0.83 => ( ( finite1625599783_state @ ( minus_2056855718tate_o @ A_96 @ B_55 ) )
% 0.66/0.83 <=> ( finite1625599783_state @ A_96 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_953_insert__Diff1,axiom,
% 0.66/0.83 ! [A_95: com > $o,X_22: com,B_54: com > $o] :
% 0.66/0.83 ( ( member_com @ X_22 @ B_54 )
% 0.66/0.83 => ( ( minus_minus_com_o @ ( insert_com @ X_22 @ A_95 ) @ B_54 )
% 0.66/0.83 = ( minus_minus_com_o @ A_95 @ B_54 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_954_insert__Diff1,axiom,
% 0.66/0.83 ! [A_95: pname > $o,X_22: pname,B_54: pname > $o] :
% 0.66/0.83 ( ( member_pname @ X_22 @ B_54 )
% 0.66/0.83 => ( ( minus_minus_pname_o @ ( insert_pname @ X_22 @ A_95 ) @ B_54 )
% 0.66/0.83 = ( minus_minus_pname_o @ A_95 @ B_54 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_955_insert__Diff1,axiom,
% 0.66/0.83 ! [A_95: hoare_1708887482_state > $o,X_22: hoare_1708887482_state,B_54: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ X_22 @ B_54 )
% 0.66/0.83 => ( ( minus_2056855718tate_o @ ( insert528405184_state @ X_22 @ A_95 ) @ B_54 )
% 0.66/0.83 = ( minus_2056855718tate_o @ A_95 @ B_54 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_956_insert__Diff__if,axiom,
% 0.66/0.83 ! [A_94: com > $o,X_21: com,B_53: com > $o] :
% 0.66/0.83 ( ( ( member_com @ X_21 @ B_53 )
% 0.66/0.83 => ( ( minus_minus_com_o @ ( insert_com @ X_21 @ A_94 ) @ B_53 )
% 0.66/0.83 = ( minus_minus_com_o @ A_94 @ B_53 ) ) )
% 0.66/0.83 & ( ~ ( member_com @ X_21 @ B_53 )
% 0.66/0.83 => ( ( minus_minus_com_o @ ( insert_com @ X_21 @ A_94 ) @ B_53 )
% 0.66/0.83 = ( insert_com @ X_21 @ ( minus_minus_com_o @ A_94 @ B_53 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_957_insert__Diff__if,axiom,
% 0.66/0.83 ! [A_94: pname > $o,X_21: pname,B_53: pname > $o] :
% 0.66/0.83 ( ( ( member_pname @ X_21 @ B_53 )
% 0.66/0.83 => ( ( minus_minus_pname_o @ ( insert_pname @ X_21 @ A_94 ) @ B_53 )
% 0.66/0.83 = ( minus_minus_pname_o @ A_94 @ B_53 ) ) )
% 0.66/0.83 & ( ~ ( member_pname @ X_21 @ B_53 )
% 0.66/0.83 => ( ( minus_minus_pname_o @ ( insert_pname @ X_21 @ A_94 ) @ B_53 )
% 0.66/0.83 = ( insert_pname @ X_21 @ ( minus_minus_pname_o @ A_94 @ B_53 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_958_insert__Diff__if,axiom,
% 0.66/0.83 ! [A_94: hoare_1708887482_state > $o,X_21: hoare_1708887482_state,B_53: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ( member451959335_state @ X_21 @ B_53 )
% 0.66/0.83 => ( ( minus_2056855718tate_o @ ( insert528405184_state @ X_21 @ A_94 ) @ B_53 )
% 0.66/0.83 = ( minus_2056855718tate_o @ A_94 @ B_53 ) ) )
% 0.66/0.83 & ( ~ ( member451959335_state @ X_21 @ B_53 )
% 0.66/0.83 => ( ( minus_2056855718tate_o @ ( insert528405184_state @ X_21 @ A_94 ) @ B_53 )
% 0.66/0.83 = ( insert528405184_state @ X_21 @ ( minus_2056855718tate_o @ A_94 @ B_53 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_959_disjoint__iff__not__equal,axiom,
% 0.66/0.83 ! [A_93: com > $o,B_52: com > $o] :
% 0.66/0.83 ( ( ( semila513601829_com_o @ A_93 @ B_52 )
% 0.66/0.83 = bot_bot_com_o )
% 0.66/0.83 <=> ! [X_3: com] :
% 0.66/0.83 ( ( member_com @ X_3 @ A_93 )
% 0.66/0.83 => ! [Xa: com] :
% 0.66/0.83 ( ( member_com @ Xa @ B_52 )
% 0.66/0.83 => ( X_3 != Xa ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_960_disjoint__iff__not__equal,axiom,
% 0.66/0.83 ! [A_93: pname > $o,B_52: pname > $o] :
% 0.66/0.83 ( ( ( semila1673364395name_o @ A_93 @ B_52 )
% 0.66/0.83 = bot_bot_pname_o )
% 0.66/0.83 <=> ! [X_3: pname] :
% 0.66/0.83 ( ( member_pname @ X_3 @ A_93 )
% 0.66/0.83 => ! [Xa: pname] :
% 0.66/0.83 ( ( member_pname @ Xa @ B_52 )
% 0.66/0.83 => ( X_3 != Xa ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_961_disjoint__iff__not__equal,axiom,
% 0.66/0.83 ! [A_93: hoare_1708887482_state > $o,B_52: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ( semila129691299tate_o @ A_93 @ B_52 )
% 0.66/0.83 = bot_bo19817387tate_o )
% 0.66/0.83 <=> ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( member451959335_state @ X_3 @ A_93 )
% 0.66/0.83 => ! [Xa: hoare_1708887482_state] :
% 0.66/0.83 ( ( member451959335_state @ Xa @ B_52 )
% 0.66/0.83 => ( X_3 != Xa ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_962_Int__empty__right,axiom,
% 0.66/0.83 ! [A_92: com > $o] :
% 0.66/0.83 ( ( semila513601829_com_o @ A_92 @ bot_bot_com_o )
% 0.66/0.83 = bot_bot_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_963_Int__empty__right,axiom,
% 0.66/0.83 ! [A_92: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ A_92 @ bot_bot_pname_o )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_964_Int__empty__right,axiom,
% 0.66/0.83 ! [A_92: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ A_92 @ bot_bo19817387tate_o )
% 0.66/0.83 = bot_bo19817387tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_965_Int__empty__left,axiom,
% 0.66/0.83 ! [B_51: com > $o] :
% 0.66/0.83 ( ( semila513601829_com_o @ bot_bot_com_o @ B_51 )
% 0.66/0.83 = bot_bot_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_966_Int__empty__left,axiom,
% 0.66/0.83 ! [B_51: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ bot_bot_pname_o @ B_51 )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_967_Int__empty__left,axiom,
% 0.66/0.83 ! [B_51: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ bot_bo19817387tate_o @ B_51 )
% 0.66/0.83 = bot_bo19817387tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_968_double__diff,axiom,
% 0.66/0.83 ! [C_18: pname > $o,A_91: pname > $o,B_50: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_91 @ B_50 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ B_50 @ C_18 )
% 0.66/0.83 => ( ( minus_minus_pname_o @ B_50 @ ( minus_minus_pname_o @ C_18 @ A_91 ) )
% 0.66/0.83 = A_91 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_969_double__diff,axiom,
% 0.66/0.83 ! [C_18: hoare_1708887482_state > $o,A_91: hoare_1708887482_state > $o,B_50: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_91 @ B_50 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ B_50 @ C_18 )
% 0.66/0.83 => ( ( minus_2056855718tate_o @ B_50 @ ( minus_2056855718tate_o @ C_18 @ A_91 ) )
% 0.66/0.83 = A_91 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_970_Diff__mono,axiom,
% 0.66/0.83 ! [D_1: pname > $o,B_49: pname > $o,A_90: pname > $o,C_17: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_90 @ C_17 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ D_1 @ B_49 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( minus_minus_pname_o @ A_90 @ B_49 ) @ ( minus_minus_pname_o @ C_17 @ D_1 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_971_Diff__mono,axiom,
% 0.66/0.83 ! [D_1: hoare_1708887482_state > $o,B_49: hoare_1708887482_state > $o,A_90: hoare_1708887482_state > $o,C_17: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_90 @ C_17 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ D_1 @ B_49 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( minus_2056855718tate_o @ A_90 @ B_49 ) @ ( minus_2056855718tate_o @ C_17 @ D_1 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_972_Diff__subset,axiom,
% 0.66/0.83 ! [A_89: pname > $o,B_48: pname > $o] : ( ord_less_eq_pname_o @ ( minus_minus_pname_o @ A_89 @ B_48 ) @ A_89 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_973_Diff__subset,axiom,
% 0.66/0.83 ! [A_89: hoare_1708887482_state > $o,B_48: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( minus_2056855718tate_o @ A_89 @ B_48 ) @ A_89 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_974_Un__Diff,axiom,
% 0.66/0.83 ! [A_88: pname > $o,B_47: pname > $o,C_16: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ ( semila1780557381name_o @ A_88 @ B_47 ) @ C_16 )
% 0.66/0.83 = ( semila1780557381name_o @ ( minus_minus_pname_o @ A_88 @ C_16 ) @ ( minus_minus_pname_o @ B_47 @ C_16 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_975_Un__Diff,axiom,
% 0.66/0.83 ! [A_88: hoare_1708887482_state > $o,B_47: hoare_1708887482_state > $o,C_16: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ ( semila1122118281tate_o @ A_88 @ B_47 ) @ C_16 )
% 0.66/0.83 = ( semila1122118281tate_o @ ( minus_2056855718tate_o @ A_88 @ C_16 ) @ ( minus_2056855718tate_o @ B_47 @ C_16 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_976_Un__Diff__cancel2,axiom,
% 0.66/0.83 ! [B_46: pname > $o,A_87: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ ( minus_minus_pname_o @ B_46 @ A_87 ) @ A_87 )
% 0.66/0.83 = ( semila1780557381name_o @ B_46 @ A_87 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_977_Un__Diff__cancel2,axiom,
% 0.66/0.83 ! [B_46: hoare_1708887482_state > $o,A_87: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ ( minus_2056855718tate_o @ B_46 @ A_87 ) @ A_87 )
% 0.66/0.83 = ( semila1122118281tate_o @ B_46 @ A_87 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_978_Un__Diff__cancel,axiom,
% 0.66/0.83 ! [A_86: pname > $o,B_45: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ A_86 @ ( minus_minus_pname_o @ B_45 @ A_86 ) )
% 0.66/0.83 = ( semila1780557381name_o @ A_86 @ B_45 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_979_Un__Diff__cancel,axiom,
% 0.66/0.83 ! [A_86: hoare_1708887482_state > $o,B_45: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ A_86 @ ( minus_2056855718tate_o @ B_45 @ A_86 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ A_86 @ B_45 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_980_Int__insert__left__if1,axiom,
% 0.66/0.83 ! [B_44: com > $o,A_85: com,C_15: com > $o] :
% 0.66/0.83 ( ( member_com @ A_85 @ C_15 )
% 0.66/0.83 => ( ( semila513601829_com_o @ ( insert_com @ A_85 @ B_44 ) @ C_15 )
% 0.66/0.83 = ( insert_com @ A_85 @ ( semila513601829_com_o @ B_44 @ C_15 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_981_Int__insert__left__if1,axiom,
% 0.66/0.83 ! [B_44: pname > $o,A_85: pname,C_15: pname > $o] :
% 0.66/0.83 ( ( member_pname @ A_85 @ C_15 )
% 0.66/0.83 => ( ( semila1673364395name_o @ ( insert_pname @ A_85 @ B_44 ) @ C_15 )
% 0.66/0.83 = ( insert_pname @ A_85 @ ( semila1673364395name_o @ B_44 @ C_15 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_982_Int__insert__left__if1,axiom,
% 0.66/0.83 ! [B_44: hoare_1708887482_state > $o,A_85: hoare_1708887482_state,C_15: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ A_85 @ C_15 )
% 0.66/0.83 => ( ( semila129691299tate_o @ ( insert528405184_state @ A_85 @ B_44 ) @ C_15 )
% 0.66/0.83 = ( insert528405184_state @ A_85 @ ( semila129691299tate_o @ B_44 @ C_15 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_983_Int__insert__right__if1,axiom,
% 0.66/0.83 ! [B_43: com > $o,A_84: com,A_83: com > $o] :
% 0.66/0.83 ( ( member_com @ A_84 @ A_83 )
% 0.66/0.83 => ( ( semila513601829_com_o @ A_83 @ ( insert_com @ A_84 @ B_43 ) )
% 0.66/0.83 = ( insert_com @ A_84 @ ( semila513601829_com_o @ A_83 @ B_43 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_984_Int__insert__right__if1,axiom,
% 0.66/0.83 ! [B_43: pname > $o,A_84: pname,A_83: pname > $o] :
% 0.66/0.83 ( ( member_pname @ A_84 @ A_83 )
% 0.66/0.83 => ( ( semila1673364395name_o @ A_83 @ ( insert_pname @ A_84 @ B_43 ) )
% 0.66/0.83 = ( insert_pname @ A_84 @ ( semila1673364395name_o @ A_83 @ B_43 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_985_Int__insert__right__if1,axiom,
% 0.66/0.83 ! [B_43: hoare_1708887482_state > $o,A_84: hoare_1708887482_state,A_83: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ A_84 @ A_83 )
% 0.66/0.83 => ( ( semila129691299tate_o @ A_83 @ ( insert528405184_state @ A_84 @ B_43 ) )
% 0.66/0.83 = ( insert528405184_state @ A_84 @ ( semila129691299tate_o @ A_83 @ B_43 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_986_Int__insert__left__if0,axiom,
% 0.66/0.83 ! [B_42: com > $o,A_82: com,C_14: com > $o] :
% 0.66/0.83 ( ~ ( member_com @ A_82 @ C_14 )
% 0.66/0.83 => ( ( semila513601829_com_o @ ( insert_com @ A_82 @ B_42 ) @ C_14 )
% 0.66/0.83 = ( semila513601829_com_o @ B_42 @ C_14 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_987_Int__insert__left__if0,axiom,
% 0.66/0.83 ! [B_42: pname > $o,A_82: pname,C_14: pname > $o] :
% 0.66/0.83 ( ~ ( member_pname @ A_82 @ C_14 )
% 0.66/0.83 => ( ( semila1673364395name_o @ ( insert_pname @ A_82 @ B_42 ) @ C_14 )
% 0.66/0.83 = ( semila1673364395name_o @ B_42 @ C_14 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_988_Int__insert__left__if0,axiom,
% 0.66/0.83 ! [B_42: hoare_1708887482_state > $o,A_82: hoare_1708887482_state,C_14: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ~ ( member451959335_state @ A_82 @ C_14 )
% 0.66/0.83 => ( ( semila129691299tate_o @ ( insert528405184_state @ A_82 @ B_42 ) @ C_14 )
% 0.66/0.83 = ( semila129691299tate_o @ B_42 @ C_14 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_989_Int__insert__right__if0,axiom,
% 0.66/0.83 ! [B_41: com > $o,A_81: com,A_80: com > $o] :
% 0.66/0.83 ( ~ ( member_com @ A_81 @ A_80 )
% 0.66/0.83 => ( ( semila513601829_com_o @ A_80 @ ( insert_com @ A_81 @ B_41 ) )
% 0.66/0.83 = ( semila513601829_com_o @ A_80 @ B_41 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_990_Int__insert__right__if0,axiom,
% 0.66/0.83 ! [B_41: pname > $o,A_81: pname,A_80: pname > $o] :
% 0.66/0.83 ( ~ ( member_pname @ A_81 @ A_80 )
% 0.66/0.83 => ( ( semila1673364395name_o @ A_80 @ ( insert_pname @ A_81 @ B_41 ) )
% 0.66/0.83 = ( semila1673364395name_o @ A_80 @ B_41 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_991_Int__insert__right__if0,axiom,
% 0.66/0.83 ! [B_41: hoare_1708887482_state > $o,A_81: hoare_1708887482_state,A_80: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ~ ( member451959335_state @ A_81 @ A_80 )
% 0.66/0.83 => ( ( semila129691299tate_o @ A_80 @ ( insert528405184_state @ A_81 @ B_41 ) )
% 0.66/0.83 = ( semila129691299tate_o @ A_80 @ B_41 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_992_insert__inter__insert,axiom,
% 0.66/0.83 ! [A_79: com,A_78: com > $o,B_40: com > $o] :
% 0.66/0.83 ( ( semila513601829_com_o @ ( insert_com @ A_79 @ A_78 ) @ ( insert_com @ A_79 @ B_40 ) )
% 0.66/0.83 = ( insert_com @ A_79 @ ( semila513601829_com_o @ A_78 @ B_40 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_993_insert__inter__insert,axiom,
% 0.66/0.83 ! [A_79: pname,A_78: pname > $o,B_40: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ ( insert_pname @ A_79 @ A_78 ) @ ( insert_pname @ A_79 @ B_40 ) )
% 0.66/0.83 = ( insert_pname @ A_79 @ ( semila1673364395name_o @ A_78 @ B_40 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_994_insert__inter__insert,axiom,
% 0.66/0.83 ! [A_79: hoare_1708887482_state,A_78: hoare_1708887482_state > $o,B_40: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ ( insert528405184_state @ A_79 @ A_78 ) @ ( insert528405184_state @ A_79 @ B_40 ) )
% 0.66/0.83 = ( insert528405184_state @ A_79 @ ( semila129691299tate_o @ A_78 @ B_40 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_995_Int__insert__left,axiom,
% 0.66/0.83 ! [B_39: com > $o,A_77: com,C_13: com > $o] :
% 0.66/0.83 ( ( ( member_com @ A_77 @ C_13 )
% 0.66/0.83 => ( ( semila513601829_com_o @ ( insert_com @ A_77 @ B_39 ) @ C_13 )
% 0.66/0.83 = ( insert_com @ A_77 @ ( semila513601829_com_o @ B_39 @ C_13 ) ) ) )
% 0.66/0.83 & ( ~ ( member_com @ A_77 @ C_13 )
% 0.66/0.83 => ( ( semila513601829_com_o @ ( insert_com @ A_77 @ B_39 ) @ C_13 )
% 0.66/0.83 = ( semila513601829_com_o @ B_39 @ C_13 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_996_Int__insert__left,axiom,
% 0.66/0.83 ! [B_39: pname > $o,A_77: pname,C_13: pname > $o] :
% 0.66/0.83 ( ( ( member_pname @ A_77 @ C_13 )
% 0.66/0.83 => ( ( semila1673364395name_o @ ( insert_pname @ A_77 @ B_39 ) @ C_13 )
% 0.66/0.83 = ( insert_pname @ A_77 @ ( semila1673364395name_o @ B_39 @ C_13 ) ) ) )
% 0.66/0.83 & ( ~ ( member_pname @ A_77 @ C_13 )
% 0.66/0.83 => ( ( semila1673364395name_o @ ( insert_pname @ A_77 @ B_39 ) @ C_13 )
% 0.66/0.83 = ( semila1673364395name_o @ B_39 @ C_13 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_997_Int__insert__left,axiom,
% 0.66/0.83 ! [B_39: hoare_1708887482_state > $o,A_77: hoare_1708887482_state,C_13: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ( member451959335_state @ A_77 @ C_13 )
% 0.66/0.83 => ( ( semila129691299tate_o @ ( insert528405184_state @ A_77 @ B_39 ) @ C_13 )
% 0.66/0.83 = ( insert528405184_state @ A_77 @ ( semila129691299tate_o @ B_39 @ C_13 ) ) ) )
% 0.66/0.83 & ( ~ ( member451959335_state @ A_77 @ C_13 )
% 0.66/0.83 => ( ( semila129691299tate_o @ ( insert528405184_state @ A_77 @ B_39 ) @ C_13 )
% 0.66/0.83 = ( semila129691299tate_o @ B_39 @ C_13 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_998_Int__insert__right,axiom,
% 0.66/0.83 ! [B_38: com > $o,A_76: com,A_75: com > $o] :
% 0.66/0.83 ( ( ( member_com @ A_76 @ A_75 )
% 0.66/0.83 => ( ( semila513601829_com_o @ A_75 @ ( insert_com @ A_76 @ B_38 ) )
% 0.66/0.83 = ( insert_com @ A_76 @ ( semila513601829_com_o @ A_75 @ B_38 ) ) ) )
% 0.66/0.83 & ( ~ ( member_com @ A_76 @ A_75 )
% 0.66/0.83 => ( ( semila513601829_com_o @ A_75 @ ( insert_com @ A_76 @ B_38 ) )
% 0.66/0.83 = ( semila513601829_com_o @ A_75 @ B_38 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_999_Int__insert__right,axiom,
% 0.66/0.83 ! [B_38: pname > $o,A_76: pname,A_75: pname > $o] :
% 0.66/0.83 ( ( ( member_pname @ A_76 @ A_75 )
% 0.66/0.83 => ( ( semila1673364395name_o @ A_75 @ ( insert_pname @ A_76 @ B_38 ) )
% 0.66/0.83 = ( insert_pname @ A_76 @ ( semila1673364395name_o @ A_75 @ B_38 ) ) ) )
% 0.66/0.83 & ( ~ ( member_pname @ A_76 @ A_75 )
% 0.66/0.83 => ( ( semila1673364395name_o @ A_75 @ ( insert_pname @ A_76 @ B_38 ) )
% 0.66/0.83 = ( semila1673364395name_o @ A_75 @ B_38 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1000_Int__insert__right,axiom,
% 0.66/0.83 ! [B_38: hoare_1708887482_state > $o,A_76: hoare_1708887482_state,A_75: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ( member451959335_state @ A_76 @ A_75 )
% 0.66/0.83 => ( ( semila129691299tate_o @ A_75 @ ( insert528405184_state @ A_76 @ B_38 ) )
% 0.66/0.83 = ( insert528405184_state @ A_76 @ ( semila129691299tate_o @ A_75 @ B_38 ) ) ) )
% 0.66/0.83 & ( ~ ( member451959335_state @ A_76 @ A_75 )
% 0.66/0.83 => ( ( semila129691299tate_o @ A_75 @ ( insert528405184_state @ A_76 @ B_38 ) )
% 0.66/0.83 = ( semila129691299tate_o @ A_75 @ B_38 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1001_Int__mono,axiom,
% 0.66/0.83 ! [B_37: pname > $o,D: pname > $o,A_74: pname > $o,C_12: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_74 @ C_12 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ B_37 @ D )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1673364395name_o @ A_74 @ B_37 ) @ ( semila1673364395name_o @ C_12 @ D ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1002_Int__mono,axiom,
% 0.66/0.83 ! [B_37: hoare_1708887482_state > $o,D: hoare_1708887482_state > $o,A_74: hoare_1708887482_state > $o,C_12: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_74 @ C_12 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ B_37 @ D )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila129691299tate_o @ A_74 @ B_37 ) @ ( semila129691299tate_o @ C_12 @ D ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1003_Int__greatest,axiom,
% 0.66/0.83 ! [B_36: pname > $o,C_11: pname > $o,A_73: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ C_11 @ A_73 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ C_11 @ B_36 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ C_11 @ ( semila1673364395name_o @ A_73 @ B_36 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1004_Int__greatest,axiom,
% 0.66/0.83 ! [B_36: hoare_1708887482_state > $o,C_11: hoare_1708887482_state > $o,A_73: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ C_11 @ A_73 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ C_11 @ B_36 )
% 0.66/0.83 => ( ord_le777019615tate_o @ C_11 @ ( semila129691299tate_o @ A_73 @ B_36 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1005_Int__absorb1,axiom,
% 0.66/0.83 ! [B_35: pname > $o,A_72: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ B_35 @ A_72 )
% 0.66/0.83 => ( ( semila1673364395name_o @ A_72 @ B_35 )
% 0.66/0.83 = B_35 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1006_Int__absorb1,axiom,
% 0.66/0.83 ! [B_35: hoare_1708887482_state > $o,A_72: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ B_35 @ A_72 )
% 0.66/0.83 => ( ( semila129691299tate_o @ A_72 @ B_35 )
% 0.66/0.83 = B_35 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1007_Int__absorb2,axiom,
% 0.66/0.83 ! [A_71: pname > $o,B_34: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_71 @ B_34 )
% 0.66/0.83 => ( ( semila1673364395name_o @ A_71 @ B_34 )
% 0.66/0.83 = A_71 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1008_Int__absorb2,axiom,
% 0.66/0.83 ! [A_71: hoare_1708887482_state > $o,B_34: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_71 @ B_34 )
% 0.66/0.83 => ( ( semila129691299tate_o @ A_71 @ B_34 )
% 0.66/0.83 = A_71 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1009_Int__lower2,axiom,
% 0.66/0.83 ! [A_70: pname > $o,B_33: pname > $o] : ( ord_less_eq_pname_o @ ( semila1673364395name_o @ A_70 @ B_33 ) @ B_33 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1010_Int__lower2,axiom,
% 0.66/0.83 ! [A_70: hoare_1708887482_state > $o,B_33: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( semila129691299tate_o @ A_70 @ B_33 ) @ B_33 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1011_Int__lower1,axiom,
% 0.66/0.83 ! [A_69: pname > $o,B_32: pname > $o] : ( ord_less_eq_pname_o @ ( semila1673364395name_o @ A_69 @ B_32 ) @ A_69 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1012_Int__lower1,axiom,
% 0.66/0.83 ! [A_69: hoare_1708887482_state > $o,B_32: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( semila129691299tate_o @ A_69 @ B_32 ) @ A_69 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1013_Un__Int__crazy,axiom,
% 0.66/0.83 ! [A_68: pname > $o,B_31: pname > $o,C_10: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ ( semila1780557381name_o @ ( semila1673364395name_o @ A_68 @ B_31 ) @ ( semila1673364395name_o @ B_31 @ C_10 ) ) @ ( semila1673364395name_o @ C_10 @ A_68 ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( semila1673364395name_o @ ( semila1780557381name_o @ A_68 @ B_31 ) @ ( semila1780557381name_o @ B_31 @ C_10 ) ) @ ( semila1780557381name_o @ C_10 @ A_68 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1014_Un__Int__crazy,axiom,
% 0.66/0.83 ! [A_68: hoare_1708887482_state > $o,B_31: hoare_1708887482_state > $o,C_10: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ ( semila1122118281tate_o @ ( semila129691299tate_o @ A_68 @ B_31 ) @ ( semila129691299tate_o @ B_31 @ C_10 ) ) @ ( semila129691299tate_o @ C_10 @ A_68 ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( semila129691299tate_o @ ( semila1122118281tate_o @ A_68 @ B_31 ) @ ( semila1122118281tate_o @ B_31 @ C_10 ) ) @ ( semila1122118281tate_o @ C_10 @ A_68 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1015_Un__Int__distrib2,axiom,
% 0.66/0.83 ! [B_30: pname > $o,C_9: pname > $o,A_67: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ ( semila1673364395name_o @ B_30 @ C_9 ) @ A_67 )
% 0.66/0.83 = ( semila1673364395name_o @ ( semila1780557381name_o @ B_30 @ A_67 ) @ ( semila1780557381name_o @ C_9 @ A_67 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1016_Un__Int__distrib2,axiom,
% 0.66/0.83 ! [B_30: hoare_1708887482_state > $o,C_9: hoare_1708887482_state > $o,A_67: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ ( semila129691299tate_o @ B_30 @ C_9 ) @ A_67 )
% 0.66/0.83 = ( semila129691299tate_o @ ( semila1122118281tate_o @ B_30 @ A_67 ) @ ( semila1122118281tate_o @ C_9 @ A_67 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1017_Int__Un__distrib2,axiom,
% 0.66/0.83 ! [B_29: pname > $o,C_8: pname > $o,A_66: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ ( semila1780557381name_o @ B_29 @ C_8 ) @ A_66 )
% 0.66/0.83 = ( semila1780557381name_o @ ( semila1673364395name_o @ B_29 @ A_66 ) @ ( semila1673364395name_o @ C_8 @ A_66 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1018_Int__Un__distrib2,axiom,
% 0.66/0.83 ! [B_29: hoare_1708887482_state > $o,C_8: hoare_1708887482_state > $o,A_66: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ ( semila1122118281tate_o @ B_29 @ C_8 ) @ A_66 )
% 0.66/0.83 = ( semila1122118281tate_o @ ( semila129691299tate_o @ B_29 @ A_66 ) @ ( semila129691299tate_o @ C_8 @ A_66 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1019_Un__Int__distrib,axiom,
% 0.66/0.83 ! [A_65: pname > $o,B_28: pname > $o,C_7: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ A_65 @ ( semila1673364395name_o @ B_28 @ C_7 ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( semila1780557381name_o @ A_65 @ B_28 ) @ ( semila1780557381name_o @ A_65 @ C_7 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1020_Un__Int__distrib,axiom,
% 0.66/0.83 ! [A_65: hoare_1708887482_state > $o,B_28: hoare_1708887482_state > $o,C_7: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ A_65 @ ( semila129691299tate_o @ B_28 @ C_7 ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( semila1122118281tate_o @ A_65 @ B_28 ) @ ( semila1122118281tate_o @ A_65 @ C_7 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1021_Int__Un__distrib,axiom,
% 0.66/0.83 ! [A_64: pname > $o,B_27: pname > $o,C_6: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ A_64 @ ( semila1780557381name_o @ B_27 @ C_6 ) )
% 0.66/0.83 = ( semila1780557381name_o @ ( semila1673364395name_o @ A_64 @ B_27 ) @ ( semila1673364395name_o @ A_64 @ C_6 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1022_Int__Un__distrib,axiom,
% 0.66/0.83 ! [A_64: hoare_1708887482_state > $o,B_27: hoare_1708887482_state > $o,C_6: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ A_64 @ ( semila1122118281tate_o @ B_27 @ C_6 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ ( semila129691299tate_o @ A_64 @ B_27 ) @ ( semila129691299tate_o @ A_64 @ C_6 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1023_distrib__inf__le,axiom,
% 0.66/0.83 ! [X_20: $o,Y_9: $o,Z_4: $o] : ( ord_less_eq_o @ ( semila10642723_sup_o @ ( semila854092349_inf_o @ X_20 @ Y_9 ) @ ( semila854092349_inf_o @ X_20 @ Z_4 ) ) @ ( semila854092349_inf_o @ X_20 @ ( semila10642723_sup_o @ Y_9 @ Z_4 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1024_distrib__inf__le,axiom,
% 0.66/0.83 ! [X_20: pname > $o,Y_9: pname > $o,Z_4: pname > $o] : ( ord_less_eq_pname_o @ ( semila1780557381name_o @ ( semila1673364395name_o @ X_20 @ Y_9 ) @ ( semila1673364395name_o @ X_20 @ Z_4 ) ) @ ( semila1673364395name_o @ X_20 @ ( semila1780557381name_o @ Y_9 @ Z_4 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1025_distrib__inf__le,axiom,
% 0.66/0.83 ! [X_20: hoare_1708887482_state > $o,Y_9: hoare_1708887482_state > $o,Z_4: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( semila1122118281tate_o @ ( semila129691299tate_o @ X_20 @ Y_9 ) @ ( semila129691299tate_o @ X_20 @ Z_4 ) ) @ ( semila129691299tate_o @ X_20 @ ( semila1122118281tate_o @ Y_9 @ Z_4 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1026_distrib__sup__le,axiom,
% 0.66/0.83 ! [X_19: $o,Y_8: $o,Z_3: $o] : ( ord_less_eq_o @ ( semila10642723_sup_o @ X_19 @ ( semila854092349_inf_o @ Y_8 @ Z_3 ) ) @ ( semila854092349_inf_o @ ( semila10642723_sup_o @ X_19 @ Y_8 ) @ ( semila10642723_sup_o @ X_19 @ Z_3 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1027_distrib__sup__le,axiom,
% 0.66/0.83 ! [X_19: pname > $o,Y_8: pname > $o,Z_3: pname > $o] : ( ord_less_eq_pname_o @ ( semila1780557381name_o @ X_19 @ ( semila1673364395name_o @ Y_8 @ Z_3 ) ) @ ( semila1673364395name_o @ ( semila1780557381name_o @ X_19 @ Y_8 ) @ ( semila1780557381name_o @ X_19 @ Z_3 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1028_distrib__sup__le,axiom,
% 0.66/0.83 ! [X_19: hoare_1708887482_state > $o,Y_8: hoare_1708887482_state > $o,Z_3: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( semila1122118281tate_o @ X_19 @ ( semila129691299tate_o @ Y_8 @ Z_3 ) ) @ ( semila129691299tate_o @ ( semila1122118281tate_o @ X_19 @ Y_8 ) @ ( semila1122118281tate_o @ X_19 @ Z_3 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1029_insert__Diff,axiom,
% 0.66/0.83 ! [A_63: com,A_62: com > $o] :
% 0.66/0.83 ( ( member_com @ A_63 @ A_62 )
% 0.66/0.83 => ( ( insert_com @ A_63 @ ( minus_minus_com_o @ A_62 @ ( insert_com @ A_63 @ bot_bot_com_o ) ) )
% 0.66/0.83 = A_62 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1030_insert__Diff,axiom,
% 0.66/0.83 ! [A_63: pname,A_62: pname > $o] :
% 0.66/0.83 ( ( member_pname @ A_63 @ A_62 )
% 0.66/0.83 => ( ( insert_pname @ A_63 @ ( minus_minus_pname_o @ A_62 @ ( insert_pname @ A_63 @ bot_bot_pname_o ) ) )
% 0.66/0.83 = A_62 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1031_insert__Diff,axiom,
% 0.66/0.83 ! [A_63: hoare_1708887482_state,A_62: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member451959335_state @ A_63 @ A_62 )
% 0.66/0.83 => ( ( insert528405184_state @ A_63 @ ( minus_2056855718tate_o @ A_62 @ ( insert528405184_state @ A_63 @ bot_bo19817387tate_o ) ) )
% 0.66/0.83 = A_62 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1032_Diff__insert__absorb,axiom,
% 0.66/0.83 ! [X_18: com,A_61: com > $o] :
% 0.66/0.83 ( ~ ( member_com @ X_18 @ A_61 )
% 0.66/0.83 => ( ( minus_minus_com_o @ ( insert_com @ X_18 @ A_61 ) @ ( insert_com @ X_18 @ bot_bot_com_o ) )
% 0.66/0.83 = A_61 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1033_Diff__insert__absorb,axiom,
% 0.66/0.83 ! [X_18: pname,A_61: pname > $o] :
% 0.66/0.83 ( ~ ( member_pname @ X_18 @ A_61 )
% 0.66/0.83 => ( ( minus_minus_pname_o @ ( insert_pname @ X_18 @ A_61 ) @ ( insert_pname @ X_18 @ bot_bot_pname_o ) )
% 0.66/0.83 = A_61 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1034_Diff__insert__absorb,axiom,
% 0.66/0.83 ! [X_18: hoare_1708887482_state,A_61: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ~ ( member451959335_state @ X_18 @ A_61 )
% 0.66/0.83 => ( ( minus_2056855718tate_o @ ( insert528405184_state @ X_18 @ A_61 ) @ ( insert528405184_state @ X_18 @ bot_bo19817387tate_o ) )
% 0.66/0.83 = A_61 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1035_insert__Diff__single,axiom,
% 0.66/0.83 ! [A_60: com,A_59: com > $o] :
% 0.66/0.83 ( ( insert_com @ A_60 @ ( minus_minus_com_o @ A_59 @ ( insert_com @ A_60 @ bot_bot_com_o ) ) )
% 0.66/0.83 = ( insert_com @ A_60 @ A_59 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1036_insert__Diff__single,axiom,
% 0.66/0.83 ! [A_60: pname,A_59: pname > $o] :
% 0.66/0.83 ( ( insert_pname @ A_60 @ ( minus_minus_pname_o @ A_59 @ ( insert_pname @ A_60 @ bot_bot_pname_o ) ) )
% 0.66/0.83 = ( insert_pname @ A_60 @ A_59 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1037_insert__Diff__single,axiom,
% 0.66/0.83 ! [A_60: hoare_1708887482_state,A_59: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( insert528405184_state @ A_60 @ ( minus_2056855718tate_o @ A_59 @ ( insert528405184_state @ A_60 @ bot_bo19817387tate_o ) ) )
% 0.66/0.83 = ( insert528405184_state @ A_60 @ A_59 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1038_Diff__insert2,axiom,
% 0.66/0.83 ! [A_58: com > $o,A_57: com,B_26: com > $o] :
% 0.66/0.83 ( ( minus_minus_com_o @ A_58 @ ( insert_com @ A_57 @ B_26 ) )
% 0.66/0.83 = ( minus_minus_com_o @ ( minus_minus_com_o @ A_58 @ ( insert_com @ A_57 @ bot_bot_com_o ) ) @ B_26 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1039_Diff__insert2,axiom,
% 0.66/0.83 ! [A_58: pname > $o,A_57: pname,B_26: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ A_58 @ ( insert_pname @ A_57 @ B_26 ) )
% 0.66/0.83 = ( minus_minus_pname_o @ ( minus_minus_pname_o @ A_58 @ ( insert_pname @ A_57 @ bot_bot_pname_o ) ) @ B_26 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1040_Diff__insert2,axiom,
% 0.66/0.83 ! [A_58: hoare_1708887482_state > $o,A_57: hoare_1708887482_state,B_26: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ A_58 @ ( insert528405184_state @ A_57 @ B_26 ) )
% 0.66/0.83 = ( minus_2056855718tate_o @ ( minus_2056855718tate_o @ A_58 @ ( insert528405184_state @ A_57 @ bot_bo19817387tate_o ) ) @ B_26 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1041_Diff__insert,axiom,
% 0.66/0.83 ! [A_56: com > $o,A_55: com,B_25: com > $o] :
% 0.66/0.83 ( ( minus_minus_com_o @ A_56 @ ( insert_com @ A_55 @ B_25 ) )
% 0.66/0.83 = ( minus_minus_com_o @ ( minus_minus_com_o @ A_56 @ B_25 ) @ ( insert_com @ A_55 @ bot_bot_com_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1042_Diff__insert,axiom,
% 0.66/0.83 ! [A_56: pname > $o,A_55: pname,B_25: pname > $o] :
% 0.66/0.83 ( ( minus_minus_pname_o @ A_56 @ ( insert_pname @ A_55 @ B_25 ) )
% 0.66/0.83 = ( minus_minus_pname_o @ ( minus_minus_pname_o @ A_56 @ B_25 ) @ ( insert_pname @ A_55 @ bot_bot_pname_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1043_Diff__insert,axiom,
% 0.66/0.83 ! [A_56: hoare_1708887482_state > $o,A_55: hoare_1708887482_state,B_25: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( minus_2056855718tate_o @ A_56 @ ( insert528405184_state @ A_55 @ B_25 ) )
% 0.66/0.83 = ( minus_2056855718tate_o @ ( minus_2056855718tate_o @ A_56 @ B_25 ) @ ( insert528405184_state @ A_55 @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1044_finite__Diff__insert,axiom,
% 0.66/0.83 ! [A_54: com > $o,A_53: com,B_24: com > $o] :
% 0.66/0.83 ( ( finite_finite_com @ ( minus_minus_com_o @ A_54 @ ( insert_com @ A_53 @ B_24 ) ) )
% 0.66/0.83 <=> ( finite_finite_com @ ( minus_minus_com_o @ A_54 @ B_24 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1045_finite__Diff__insert,axiom,
% 0.66/0.83 ! [A_54: pname > $o,A_53: pname,B_24: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ ( minus_minus_pname_o @ A_54 @ ( insert_pname @ A_53 @ B_24 ) ) )
% 0.66/0.83 <=> ( finite_finite_pname @ ( minus_minus_pname_o @ A_54 @ B_24 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1046_finite__Diff__insert,axiom,
% 0.66/0.83 ! [A_54: hoare_1708887482_state > $o,A_53: hoare_1708887482_state,B_24: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ ( minus_2056855718tate_o @ A_54 @ ( insert528405184_state @ A_53 @ B_24 ) ) )
% 0.66/0.83 <=> ( finite1625599783_state @ ( minus_2056855718tate_o @ A_54 @ B_24 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1047_finite__Diff__insert,axiom,
% 0.66/0.83 ! [A_54: ( pname > $o ) > $o,A_53: pname > $o,B_24: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ ( minus_1480864103me_o_o @ A_54 @ ( insert_pname_o @ A_53 @ B_24 ) ) )
% 0.66/0.83 <=> ( finite297249702name_o @ ( minus_1480864103me_o_o @ A_54 @ B_24 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1048_finite__Diff__insert,axiom,
% 0.66/0.83 ! [A_54: ( hoare_1708887482_state > $o ) > $o,A_53: hoare_1708887482_state > $o,B_24: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ ( minus_548038231te_o_o @ A_54 @ ( insert949073679tate_o @ A_53 @ B_24 ) ) )
% 0.66/0.83 <=> ( finite1329924456tate_o @ ( minus_548038231te_o_o @ A_54 @ B_24 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1049_image__diff__subset,axiom,
% 0.66/0.83 ! [F_27: pname > hoare_1708887482_state,A_52: pname > $o,B_23: pname > $o] : ( ord_le777019615tate_o @ ( minus_2056855718tate_o @ ( image_1116629049_state @ F_27 @ A_52 ) @ ( image_1116629049_state @ F_27 @ B_23 ) ) @ ( image_1116629049_state @ F_27 @ ( minus_minus_pname_o @ A_52 @ B_23 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1050_Diff__partition,axiom,
% 0.66/0.83 ! [A_51: pname > $o,B_22: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_51 @ B_22 )
% 0.66/0.83 => ( ( semila1780557381name_o @ A_51 @ ( minus_minus_pname_o @ B_22 @ A_51 ) )
% 0.66/0.83 = B_22 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1051_Diff__partition,axiom,
% 0.66/0.83 ! [A_51: hoare_1708887482_state > $o,B_22: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_51 @ B_22 )
% 0.66/0.83 => ( ( semila1122118281tate_o @ A_51 @ ( minus_2056855718tate_o @ B_22 @ A_51 ) )
% 0.66/0.83 = B_22 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1052_Diff__subset__conv,axiom,
% 0.66/0.83 ! [A_50: pname > $o,B_21: pname > $o,C_5: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ ( minus_minus_pname_o @ A_50 @ B_21 ) @ C_5 )
% 0.66/0.83 <=> ( ord_less_eq_pname_o @ A_50 @ ( semila1780557381name_o @ B_21 @ C_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1053_Diff__subset__conv,axiom,
% 0.66/0.83 ! [A_50: hoare_1708887482_state > $o,B_21: hoare_1708887482_state > $o,C_5: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ ( minus_2056855718tate_o @ A_50 @ B_21 ) @ C_5 )
% 0.66/0.83 <=> ( ord_le777019615tate_o @ A_50 @ ( semila1122118281tate_o @ B_21 @ C_5 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1054_image__Int__subset,axiom,
% 0.66/0.83 ! [F_26: pname > hoare_1708887482_state,A_49: pname > $o,B_20: pname > $o] : ( ord_le777019615tate_o @ ( image_1116629049_state @ F_26 @ ( semila1673364395name_o @ A_49 @ B_20 ) ) @ ( semila129691299tate_o @ ( image_1116629049_state @ F_26 @ A_49 ) @ ( image_1116629049_state @ F_26 @ B_20 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1055_Un__Int__assoc__eq,axiom,
% 0.66/0.83 ! [A_48: pname > $o,B_19: pname > $o,C_4: pname > $o] :
% 0.66/0.83 ( ( ( semila1780557381name_o @ ( semila1673364395name_o @ A_48 @ B_19 ) @ C_4 )
% 0.66/0.83 = ( semila1673364395name_o @ A_48 @ ( semila1780557381name_o @ B_19 @ C_4 ) ) )
% 0.66/0.83 <=> ( ord_less_eq_pname_o @ C_4 @ A_48 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1056_Un__Int__assoc__eq,axiom,
% 0.66/0.83 ! [A_48: hoare_1708887482_state > $o,B_19: hoare_1708887482_state > $o,C_4: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ( semila1122118281tate_o @ ( semila129691299tate_o @ A_48 @ B_19 ) @ C_4 )
% 0.66/0.83 = ( semila129691299tate_o @ A_48 @ ( semila1122118281tate_o @ B_19 @ C_4 ) ) )
% 0.66/0.83 <=> ( ord_le777019615tate_o @ C_4 @ A_48 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1057_if__image__distrib,axiom,
% 0.66/0.83 ! [P_4: pname > $o,F_25: pname > hoare_1708887482_state,G_4: pname > hoare_1708887482_state,S: pname > $o] :
% 0.66/0.83 ( ( image_1116629049_state
% 0.66/0.83 @ ^ [X_3: pname] : ( if_Hoa1374726218_state @ ( P_4 @ X_3 ) @ ( F_25 @ X_3 ) @ ( G_4 @ X_3 ) )
% 0.66/0.83 @ S )
% 0.66/0.83 = ( semila1122118281tate_o @ ( image_1116629049_state @ F_25 @ ( semila1673364395name_o @ S @ ( collect_pname @ P_4 ) ) )
% 0.66/0.83 @ ( image_1116629049_state @ G_4
% 0.66/0.83 @ ( semila1673364395name_o @ S
% 0.66/0.83 @ ( collect_pname
% 0.66/0.83 @ ^ [X_3: pname] : ( (~) @ ( P_4 @ X_3 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1058_dom__if,axiom,
% 0.66/0.83 ! [P_3: pname > $o,F_24: pname > option_com,G_3: pname > option_com] :
% 0.66/0.83 ( ( dom_pname_com
% 0.66/0.83 @ ^ [X_3: pname] : ( if_option_com @ ( P_3 @ X_3 ) @ ( F_24 @ X_3 ) @ ( G_3 @ X_3 ) ) )
% 0.66/0.83 = ( semila1780557381name_o @ ( semila1673364395name_o @ ( dom_pname_com @ F_24 ) @ ( collect_pname @ P_3 ) )
% 0.66/0.83 @ ( semila1673364395name_o @ ( dom_pname_com @ G_3 )
% 0.66/0.83 @ ( collect_pname
% 0.66/0.83 @ ^ [X_3: pname] : ( (~) @ ( P_3 @ X_3 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1059_diff__single__insert,axiom,
% 0.66/0.83 ! [A_47: com > $o,X_17: com,B_18: com > $o] :
% 0.66/0.83 ( ( ord_less_eq_com_o @ ( minus_minus_com_o @ A_47 @ ( insert_com @ X_17 @ bot_bot_com_o ) ) @ B_18 )
% 0.66/0.83 => ( ( member_com @ X_17 @ A_47 )
% 0.66/0.83 => ( ord_less_eq_com_o @ A_47 @ ( insert_com @ X_17 @ B_18 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1060_diff__single__insert,axiom,
% 0.66/0.83 ! [A_47: pname > $o,X_17: pname,B_18: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ ( minus_minus_pname_o @ A_47 @ ( insert_pname @ X_17 @ bot_bot_pname_o ) ) @ B_18 )
% 0.66/0.83 => ( ( member_pname @ X_17 @ A_47 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ A_47 @ ( insert_pname @ X_17 @ B_18 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1061_diff__single__insert,axiom,
% 0.66/0.83 ! [A_47: hoare_1708887482_state > $o,X_17: hoare_1708887482_state,B_18: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ ( minus_2056855718tate_o @ A_47 @ ( insert528405184_state @ X_17 @ bot_bo19817387tate_o ) ) @ B_18 )
% 0.66/0.83 => ( ( member451959335_state @ X_17 @ A_47 )
% 0.66/0.83 => ( ord_le777019615tate_o @ A_47 @ ( insert528405184_state @ X_17 @ B_18 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1062_subset__insert__iff,axiom,
% 0.66/0.83 ! [A_46: com > $o,X_16: com,B_17: com > $o] :
% 0.66/0.83 ( ( ord_less_eq_com_o @ A_46 @ ( insert_com @ X_16 @ B_17 ) )
% 0.66/0.83 <=> ( ( ( member_com @ X_16 @ A_46 )
% 0.66/0.83 => ( ord_less_eq_com_o @ ( minus_minus_com_o @ A_46 @ ( insert_com @ X_16 @ bot_bot_com_o ) ) @ B_17 ) )
% 0.66/0.83 & ( ~ ( member_com @ X_16 @ A_46 )
% 0.66/0.83 => ( ord_less_eq_com_o @ A_46 @ B_17 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1063_subset__insert__iff,axiom,
% 0.66/0.83 ! [A_46: pname > $o,X_16: pname,B_17: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_46 @ ( insert_pname @ X_16 @ B_17 ) )
% 0.66/0.83 <=> ( ( ( member_pname @ X_16 @ A_46 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( minus_minus_pname_o @ A_46 @ ( insert_pname @ X_16 @ bot_bot_pname_o ) ) @ B_17 ) )
% 0.66/0.83 & ( ~ ( member_pname @ X_16 @ A_46 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ A_46 @ B_17 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1064_subset__insert__iff,axiom,
% 0.66/0.83 ! [A_46: hoare_1708887482_state > $o,X_16: hoare_1708887482_state,B_17: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_46 @ ( insert528405184_state @ X_16 @ B_17 ) )
% 0.66/0.83 <=> ( ( ( member451959335_state @ X_16 @ A_46 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( minus_2056855718tate_o @ A_46 @ ( insert528405184_state @ X_16 @ bot_bo19817387tate_o ) ) @ B_17 ) )
% 0.66/0.83 & ( ~ ( member451959335_state @ X_16 @ A_46 )
% 0.66/0.83 => ( ord_le777019615tate_o @ A_46 @ B_17 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1065_finite__empty__induct,axiom,
% 0.66/0.83 ! [P_2: ( com > $o ) > $o,A_45: com > $o] :
% 0.66/0.83 ( ( finite_finite_com @ A_45 )
% 0.66/0.83 => ( ( P_2 @ A_45 )
% 0.66/0.83 => ( ! [A_6: com,A_39: com > $o] :
% 0.66/0.83 ( ( finite_finite_com @ A_39 )
% 0.66/0.83 => ( ( member_com @ A_6 @ A_39 )
% 0.66/0.83 => ( ( P_2 @ A_39 )
% 0.66/0.83 => ( P_2 @ ( minus_minus_com_o @ A_39 @ ( insert_com @ A_6 @ bot_bot_com_o ) ) ) ) ) )
% 0.66/0.83 => ( P_2 @ bot_bot_com_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1066_finite__empty__induct,axiom,
% 0.66/0.83 ! [P_2: ( pname > $o ) > $o,A_45: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ A_45 )
% 0.66/0.83 => ( ( P_2 @ A_45 )
% 0.66/0.83 => ( ! [A_6: pname,A_39: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ A_39 )
% 0.66/0.83 => ( ( member_pname @ A_6 @ A_39 )
% 0.66/0.83 => ( ( P_2 @ A_39 )
% 0.66/0.83 => ( P_2 @ ( minus_minus_pname_o @ A_39 @ ( insert_pname @ A_6 @ bot_bot_pname_o ) ) ) ) ) )
% 0.66/0.83 => ( P_2 @ bot_bot_pname_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1067_finite__empty__induct,axiom,
% 0.66/0.83 ! [P_2: ( hoare_1708887482_state > $o ) > $o,A_45: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ A_45 )
% 0.66/0.83 => ( ( P_2 @ A_45 )
% 0.66/0.83 => ( ! [A_6: hoare_1708887482_state,A_39: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ A_39 )
% 0.66/0.83 => ( ( member451959335_state @ A_6 @ A_39 )
% 0.66/0.83 => ( ( P_2 @ A_39 )
% 0.66/0.83 => ( P_2 @ ( minus_2056855718tate_o @ A_39 @ ( insert528405184_state @ A_6 @ bot_bo19817387tate_o ) ) ) ) ) )
% 0.66/0.83 => ( P_2 @ bot_bo19817387tate_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1068_finite__empty__induct,axiom,
% 0.66/0.83 ! [P_2: ( ( pname > $o ) > $o ) > $o,A_45: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_45 )
% 0.66/0.83 => ( ( P_2 @ A_45 )
% 0.66/0.83 => ( ! [A_6: pname > $o,A_39: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_39 )
% 0.66/0.83 => ( ( member_pname_o @ A_6 @ A_39 )
% 0.66/0.83 => ( ( P_2 @ A_39 )
% 0.66/0.83 => ( P_2 @ ( minus_1480864103me_o_o @ A_39 @ ( insert_pname_o @ A_6 @ bot_bot_pname_o_o ) ) ) ) ) )
% 0.66/0.83 => ( P_2 @ bot_bot_pname_o_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1069_finite__empty__induct,axiom,
% 0.66/0.83 ! [P_2: ( ( hoare_1708887482_state > $o ) > $o ) > $o,A_45: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_45 )
% 0.66/0.83 => ( ( P_2 @ A_45 )
% 0.66/0.83 => ( ! [A_6: hoare_1708887482_state > $o,A_39: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_39 )
% 0.66/0.83 => ( ( member814030440tate_o @ A_6 @ A_39 )
% 0.66/0.83 => ( ( P_2 @ A_39 )
% 0.66/0.83 => ( P_2 @ ( minus_548038231te_o_o @ A_39 @ ( insert949073679tate_o @ A_6 @ bot_bo1678742418te_o_o ) ) ) ) ) )
% 0.66/0.83 => ( P_2 @ bot_bo1678742418te_o_o ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1070_dom__override__on,axiom,
% 0.66/0.83 ! [F_23: pname > option_com,G_2: pname > option_com,A_44: pname > $o] :
% 0.66/0.83 ( ( dom_pname_com @ ( overri1496249029on_com @ F_23 @ G_2 @ A_44 ) )
% 0.66/0.83 = ( semila1780557381name_o
% 0.66/0.83 @ ( minus_minus_pname_o @ ( dom_pname_com @ F_23 )
% 0.66/0.83 @ ( collect_pname
% 0.66/0.83 @ ^ [A_6: pname] : ( member_pname @ A_6 @ ( minus_minus_pname_o @ A_44 @ ( dom_pname_com @ G_2 ) ) ) ) )
% 0.66/0.83 @ ( collect_pname
% 0.66/0.83 @ ^ [A_6: pname] : ( member_pname @ A_6 @ ( semila1673364395name_o @ A_44 @ ( dom_pname_com @ G_2 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1071_Int__Collect__mono,axiom,
% 0.66/0.83 ! [Q: com > $o,P_1: com > $o,A_43: com > $o,B_16: com > $o] :
% 0.66/0.83 ( ( ord_less_eq_com_o @ A_43 @ B_16 )
% 0.66/0.83 => ( ! [X_3: com] :
% 0.66/0.83 ( ( member_com @ X_3 @ A_43 )
% 0.66/0.83 => ( ( P_1 @ X_3 )
% 0.66/0.83 => ( Q @ X_3 ) ) )
% 0.66/0.83 => ( ord_less_eq_com_o @ ( semila513601829_com_o @ A_43 @ ( collect_com @ P_1 ) ) @ ( semila513601829_com_o @ B_16 @ ( collect_com @ Q ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1072_Int__Collect__mono,axiom,
% 0.66/0.83 ! [Q: pname > $o,P_1: pname > $o,A_43: pname > $o,B_16: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_43 @ B_16 )
% 0.66/0.83 => ( ! [X_3: pname] :
% 0.66/0.83 ( ( member_pname @ X_3 @ A_43 )
% 0.66/0.83 => ( ( P_1 @ X_3 )
% 0.66/0.83 => ( Q @ X_3 ) ) )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1673364395name_o @ A_43 @ ( collect_pname @ P_1 ) ) @ ( semila1673364395name_o @ B_16 @ ( collect_pname @ Q ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1073_Int__Collect__mono,axiom,
% 0.66/0.83 ! [Q: hoare_1708887482_state > $o,P_1: hoare_1708887482_state > $o,A_43: hoare_1708887482_state > $o,B_16: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_43 @ B_16 )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( member451959335_state @ X_3 @ A_43 )
% 0.66/0.83 => ( ( P_1 @ X_3 )
% 0.66/0.83 => ( Q @ X_3 ) ) )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila129691299tate_o @ A_43 @ ( collec1568722789_state @ P_1 ) ) @ ( semila129691299tate_o @ B_16 @ ( collec1568722789_state @ Q ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1074_Int__Collect__mono,axiom,
% 0.66/0.83 ! [Q: ( pname > $o ) > $o,P_1: ( pname > $o ) > $o,A_43: ( pname > $o ) > $o,B_16: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( ord_le1205211808me_o_o @ A_43 @ B_16 )
% 0.66/0.83 => ( ! [X_3: pname > $o] :
% 0.66/0.83 ( ( member_pname_o @ X_3 @ A_43 )
% 0.66/0.83 => ( ( P_1 @ X_3 )
% 0.66/0.83 => ( Q @ X_3 ) ) )
% 0.66/0.83 => ( ord_le1205211808me_o_o @ ( semila2013987940me_o_o @ A_43 @ ( collect_pname_o @ P_1 ) ) @ ( semila2013987940me_o_o @ B_16 @ ( collect_pname_o @ Q ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1075_Int__Collect__mono,axiom,
% 0.66/0.83 ! [Q: ( hoare_1708887482_state > $o ) > $o,P_1: ( hoare_1708887482_state > $o ) > $o,A_43: ( hoare_1708887482_state > $o ) > $o,B_16: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( ord_le1728773982te_o_o @ A_43 @ B_16 )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member814030440tate_o @ X_3 @ A_43 )
% 0.66/0.83 => ( ( P_1 @ X_3 )
% 0.66/0.83 => ( Q @ X_3 ) ) )
% 0.66/0.83 => ( ord_le1728773982te_o_o @ ( semila598060698te_o_o @ A_43 @ ( collec219771562tate_o @ P_1 ) ) @ ( semila598060698te_o_o @ B_16 @ ( collec219771562tate_o @ Q ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1076_distrib__imp2,axiom,
% 0.66/0.83 ! [X_15: $o,Y_7: $o,Z_2: $o] :
% 0.66/0.83 ( ! [X_3: $o,Y_4: $o,Z_1: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_3 @ ( semila854092349_inf_o @ Y_4 @ Z_1 ) )
% 0.66/0.83 <=> ( semila854092349_inf_o @ ( semila10642723_sup_o @ X_3 @ Y_4 ) @ ( semila10642723_sup_o @ X_3 @ Z_1 ) ) )
% 0.66/0.83 => ( ( semila854092349_inf_o @ X_15 @ ( semila10642723_sup_o @ Y_7 @ Z_2 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ ( semila854092349_inf_o @ X_15 @ Y_7 ) @ ( semila854092349_inf_o @ X_15 @ Z_2 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1077_distrib__imp2,axiom,
% 0.66/0.83 ! [X_15: pname > $o,Y_7: pname > $o,Z_2: pname > $o] :
% 0.66/0.83 ( ! [X_3: pname > $o,Y_4: pname > $o,Z_1: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_3 @ ( semila1673364395name_o @ Y_4 @ Z_1 ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( semila1780557381name_o @ X_3 @ Y_4 ) @ ( semila1780557381name_o @ X_3 @ Z_1 ) ) )
% 0.66/0.83 => ( ( semila1673364395name_o @ X_15 @ ( semila1780557381name_o @ Y_7 @ Z_2 ) )
% 0.66/0.83 = ( semila1780557381name_o @ ( semila1673364395name_o @ X_15 @ Y_7 ) @ ( semila1673364395name_o @ X_15 @ Z_2 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1078_distrib__imp2,axiom,
% 0.66/0.83 ! [X_15: hoare_1708887482_state > $o,Y_7: hoare_1708887482_state > $o,Z_2: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ! [X_3: hoare_1708887482_state > $o,Y_4: hoare_1708887482_state > $o,Z_1: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_3 @ ( semila129691299tate_o @ Y_4 @ Z_1 ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( semila1122118281tate_o @ X_3 @ Y_4 ) @ ( semila1122118281tate_o @ X_3 @ Z_1 ) ) )
% 0.66/0.83 => ( ( semila129691299tate_o @ X_15 @ ( semila1122118281tate_o @ Y_7 @ Z_2 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ ( semila129691299tate_o @ X_15 @ Y_7 ) @ ( semila129691299tate_o @ X_15 @ Z_2 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1079_distrib__imp1,axiom,
% 0.66/0.83 ! [X_14: $o,Y_6: $o,Z: $o] :
% 0.66/0.83 ( ! [X_3: $o,Y_4: $o,Z_1: $o] :
% 0.66/0.83 ( ( semila854092349_inf_o @ X_3 @ ( semila10642723_sup_o @ Y_4 @ Z_1 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ ( semila854092349_inf_o @ X_3 @ Y_4 ) @ ( semila854092349_inf_o @ X_3 @ Z_1 ) ) )
% 0.66/0.83 => ( ( semila10642723_sup_o @ X_14 @ ( semila854092349_inf_o @ Y_6 @ Z ) )
% 0.66/0.83 <=> ( semila854092349_inf_o @ ( semila10642723_sup_o @ X_14 @ Y_6 ) @ ( semila10642723_sup_o @ X_14 @ Z ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1080_distrib__imp1,axiom,
% 0.66/0.83 ! [X_14: pname > $o,Y_6: pname > $o,Z: pname > $o] :
% 0.66/0.83 ( ! [X_3: pname > $o,Y_4: pname > $o,Z_1: pname > $o] :
% 0.66/0.83 ( ( semila1673364395name_o @ X_3 @ ( semila1780557381name_o @ Y_4 @ Z_1 ) )
% 0.66/0.83 = ( semila1780557381name_o @ ( semila1673364395name_o @ X_3 @ Y_4 ) @ ( semila1673364395name_o @ X_3 @ Z_1 ) ) )
% 0.66/0.83 => ( ( semila1780557381name_o @ X_14 @ ( semila1673364395name_o @ Y_6 @ Z ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( semila1780557381name_o @ X_14 @ Y_6 ) @ ( semila1780557381name_o @ X_14 @ Z ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1081_distrib__imp1,axiom,
% 0.66/0.83 ! [X_14: hoare_1708887482_state > $o,Y_6: hoare_1708887482_state > $o,Z: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ! [X_3: hoare_1708887482_state > $o,Y_4: hoare_1708887482_state > $o,Z_1: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila129691299tate_o @ X_3 @ ( semila1122118281tate_o @ Y_4 @ Z_1 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ ( semila129691299tate_o @ X_3 @ Y_4 ) @ ( semila129691299tate_o @ X_3 @ Z_1 ) ) )
% 0.66/0.83 => ( ( semila1122118281tate_o @ X_14 @ ( semila129691299tate_o @ Y_6 @ Z ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( semila1122118281tate_o @ X_14 @ Y_6 ) @ ( semila1122118281tate_o @ X_14 @ Z ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1082_flat__lub__def,axiom,
% 0.66/0.83 ! [A_42: com > $o,B_15: com] :
% 0.66/0.83 ( ( ( ord_less_eq_com_o @ A_42 @ ( insert_com @ B_15 @ bot_bot_com_o ) )
% 0.66/0.83 => ( ( partial_flat_lub_com @ B_15 @ A_42 )
% 0.66/0.83 = B_15 ) )
% 0.66/0.83 & ( ~ ( ord_less_eq_com_o @ A_42 @ ( insert_com @ B_15 @ bot_bot_com_o ) )
% 0.66/0.83 => ( ( partial_flat_lub_com @ B_15 @ A_42 )
% 0.66/0.83 = ( the_com_1
% 0.66/0.83 @ ^ [X_3: com] : ( member_com @ X_3 @ ( minus_minus_com_o @ A_42 @ ( insert_com @ B_15 @ bot_bot_com_o ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1083_flat__lub__def,axiom,
% 0.66/0.83 ! [A_42: pname > $o,B_15: pname] :
% 0.66/0.83 ( ( ( ord_less_eq_pname_o @ A_42 @ ( insert_pname @ B_15 @ bot_bot_pname_o ) )
% 0.66/0.83 => ( ( partia752020666_pname @ B_15 @ A_42 )
% 0.66/0.83 = B_15 ) )
% 0.66/0.83 & ( ~ ( ord_less_eq_pname_o @ A_42 @ ( insert_pname @ B_15 @ bot_bot_pname_o ) )
% 0.66/0.83 => ( ( partia752020666_pname @ B_15 @ A_42 )
% 0.66/0.83 = ( the_pname
% 0.66/0.83 @ ^ [X_3: pname] : ( member_pname @ X_3 @ ( minus_minus_pname_o @ A_42 @ ( insert_pname @ B_15 @ bot_bot_pname_o ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1084_flat__lub__def,axiom,
% 0.66/0.83 ! [A_42: hoare_1708887482_state > $o,B_15: hoare_1708887482_state] :
% 0.66/0.83 ( ( ( ord_le777019615tate_o @ A_42 @ ( insert528405184_state @ B_15 @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( ( partia1256728516_state @ B_15 @ A_42 )
% 0.66/0.83 = B_15 ) )
% 0.66/0.83 & ( ~ ( ord_le777019615tate_o @ A_42 @ ( insert528405184_state @ B_15 @ bot_bo19817387tate_o ) )
% 0.66/0.83 => ( ( partia1256728516_state @ B_15 @ A_42 )
% 0.66/0.83 = ( the_Ho851197897_state
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state] : ( member451959335_state @ X_3 @ ( minus_2056855718tate_o @ A_42 @ ( insert528405184_state @ B_15 @ bot_bo19817387tate_o ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1085_comp__fun__idem__remove,axiom,
% 0.66/0.83 ( finite567462577_com_o
% 0.66/0.83 @ ^ [X_3: com,A_39: com > $o] : ( minus_minus_com_o @ A_39 @ ( insert_com @ X_3 @ bot_bot_com_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1086_comp__fun__idem__remove,axiom,
% 0.66/0.83 ( finite1123817265name_o
% 0.66/0.83 @ ^ [X_3: pname,A_39: pname > $o] : ( minus_minus_pname_o @ A_39 @ ( insert_pname @ X_3 @ bot_bot_pname_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1087_comp__fun__idem__remove,axiom,
% 0.66/0.83 ( finite662762081tate_o
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state,A_39: hoare_1708887482_state > $o] : ( minus_2056855718tate_o @ A_39 @ ( insert528405184_state @ X_3 @ bot_bo19817387tate_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1088_fun__upd__image,axiom,
% 0.66/0.83 ! [F_22: pname > hoare_1708887482_state,Y_5: hoare_1708887482_state,X_13: pname,A_41: pname > $o] :
% 0.66/0.83 ( ( ( member_pname @ X_13 @ A_41 )
% 0.66/0.83 => ( ( image_1116629049_state @ ( fun_up1986763201_state @ F_22 @ X_13 @ Y_5 ) @ A_41 )
% 0.66/0.83 = ( insert528405184_state @ Y_5 @ ( image_1116629049_state @ F_22 @ ( minus_minus_pname_o @ A_41 @ ( insert_pname @ X_13 @ bot_bot_pname_o ) ) ) ) ) )
% 0.66/0.83 & ( ~ ( member_pname @ X_13 @ A_41 )
% 0.66/0.83 => ( ( image_1116629049_state @ ( fun_up1986763201_state @ F_22 @ X_13 @ Y_5 ) @ A_41 )
% 0.66/0.83 = ( image_1116629049_state @ F_22 @ A_41 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1089_comp__fun__idem__insert,axiom,
% 0.66/0.83 finite567462577_com_o @ insert_com ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1090_comp__fun__idem__insert,axiom,
% 0.66/0.83 finite1123817265name_o @ insert_pname ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1091_comp__fun__idem__insert,axiom,
% 0.66/0.83 finite662762081tate_o @ insert528405184_state ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1092_comp__fun__idem__sup,axiom,
% 0.66/0.83 finite2048025996em_o_o @ semila10642723_sup_o ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1093_comp__fun__idem__sup,axiom,
% 0.66/0.83 finite138924780name_o @ semila1780557381name_o ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1094_comp__fun__idem__sup,axiom,
% 0.66/0.83 finite2034616076tate_o @ semila1122118281tate_o ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1095_inj__on__Un,axiom,
% 0.66/0.83 ! [F_21: pname > hoare_1708887482_state,A_40: pname > $o,B_14: pname > $o] :
% 0.66/0.83 ( ( inj_on1553129421_state @ F_21 @ ( semila1780557381name_o @ A_40 @ B_14 ) )
% 0.66/0.83 <=> ( ( inj_on1553129421_state @ F_21 @ A_40 )
% 0.66/0.83 & ( inj_on1553129421_state @ F_21 @ B_14 )
% 0.66/0.83 & ( ( semila129691299tate_o @ ( image_1116629049_state @ F_21 @ ( minus_minus_pname_o @ A_40 @ B_14 ) ) @ ( image_1116629049_state @ F_21 @ ( minus_minus_pname_o @ B_14 @ A_40 ) ) )
% 0.66/0.83 = bot_bo19817387tate_o ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1096_dom__eq__singleton__conv,axiom,
% 0.66/0.83 ! [F_20: pname > option_com,X_12: pname] :
% 0.66/0.83 ( ( ( dom_pname_com @ F_20 )
% 0.66/0.83 = ( insert_pname @ X_12 @ bot_bot_pname_o ) )
% 0.66/0.83 <=> ? [V: com] :
% 0.66/0.83 ( F_20
% 0.66/0.83 = ( fun_up879233478on_com
% 0.66/0.83 @ ^ [X_3: pname] : none_com
% 0.66/0.83 @ X_12
% 0.66/0.83 @ ( some_com @ V ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1097_minus__fold__remove,axiom,
% 0.66/0.83 ! [B_13: com > $o,A_38: com > $o] :
% 0.66/0.83 ( ( finite_finite_com @ A_38 )
% 0.66/0.83 => ( ( minus_minus_com_o @ B_13 @ A_38 )
% 0.66/0.83 = ( finite504235573_com_o
% 0.66/0.83 @ ^ [X_3: com,A_39: com > $o] : ( minus_minus_com_o @ A_39 @ ( insert_com @ X_3 @ bot_bot_com_o ) )
% 0.66/0.83 @ B_13
% 0.66/0.83 @ A_38 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1098_minus__fold__remove,axiom,
% 0.66/0.83 ! [B_13: pname > $o,A_38: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ A_38 )
% 0.66/0.83 => ( ( minus_minus_pname_o @ B_13 @ A_38 )
% 0.66/0.83 = ( finite603803317name_o
% 0.66/0.83 @ ^ [X_3: pname,A_39: pname > $o] : ( minus_minus_pname_o @ A_39 @ ( insert_pname @ X_3 @ bot_bot_pname_o ) )
% 0.66/0.83 @ B_13
% 0.66/0.83 @ A_38 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1099_minus__fold__remove,axiom,
% 0.66/0.83 ! [B_13: hoare_1708887482_state > $o,A_38: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ A_38 )
% 0.66/0.83 => ( ( minus_2056855718tate_o @ B_13 @ A_38 )
% 0.66/0.83 = ( finite96880613tate_o
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state,A_39: hoare_1708887482_state > $o] : ( minus_2056855718tate_o @ A_39 @ ( insert528405184_state @ X_3 @ bot_bo19817387tate_o ) )
% 0.66/0.83 @ B_13
% 0.66/0.83 @ A_38 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1100_minus__fold__remove,axiom,
% 0.66/0.83 ! [B_13: ( pname > $o ) > $o,A_38: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_38 )
% 0.66/0.83 => ( ( minus_1480864103me_o_o @ B_13 @ A_38 )
% 0.66/0.83 = ( finite1849951719me_o_o
% 0.66/0.83 @ ^ [X_3: pname > $o,A_39: ( pname > $o ) > $o] : ( minus_1480864103me_o_o @ A_39 @ ( insert_pname_o @ X_3 @ bot_bot_pname_o_o ) )
% 0.66/0.83 @ B_13
% 0.66/0.83 @ A_38 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1101_minus__fold__remove,axiom,
% 0.66/0.83 ! [B_13: ( hoare_1708887482_state > $o ) > $o,A_38: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_38 )
% 0.66/0.83 => ( ( minus_548038231te_o_o @ B_13 @ A_38 )
% 0.66/0.83 = ( finite463603445te_o_o
% 0.66/0.83 @ ^ [X_3: hoare_1708887482_state > $o,A_39: ( hoare_1708887482_state > $o ) > $o] : ( minus_548038231te_o_o @ A_39 @ ( insert949073679tate_o @ X_3 @ bot_bo1678742418te_o_o ) )
% 0.66/0.83 @ B_13
% 0.66/0.83 @ A_38 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1102_image__eq__fold__image,axiom,
% 0.66/0.83 ! [F_19: pname > hoare_1708887482_state,A_37: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ A_37 )
% 0.66/0.83 => ( ( image_1116629049_state @ F_19 @ A_37 )
% 0.66/0.83 = ( finite2139561282_pname @ semila1122118281tate_o
% 0.66/0.83 @ ^ [X_3: pname] : ( insert528405184_state @ ( F_19 @ X_3 ) @ bot_bo19817387tate_o )
% 0.66/0.83 @ bot_bo19817387tate_o
% 0.66/0.83 @ A_37 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1103_inj__Some,axiom,
% 0.66/0.83 ! [A_36: pname > $o] : ( inj_on737724108_pname @ some_pname @ A_36 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1104_inj__Some,axiom,
% 0.66/0.83 ! [A_36: hoare_1708887482_state > $o] : ( inj_on945311362_state @ some_H1974565227_state @ A_36 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1105_inj__Some,axiom,
% 0.66/0.83 ! [A_36: com > $o] : ( inj_on11367768on_com @ some_com @ A_36 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1106_option_Osimps_I2_J,axiom,
% 0.66/0.83 ! [A_35: com] :
% 0.66/0.83 ( none_com
% 0.66/0.83 != ( some_com @ A_35 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1107_option_Osimps_I2_J,axiom,
% 0.66/0.83 ! [A_35: pname] :
% 0.66/0.83 ( none_pname
% 0.66/0.83 != ( some_pname @ A_35 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1108_option_Osimps_I2_J,axiom,
% 0.66/0.83 ! [A_35: hoare_1708887482_state] :
% 0.66/0.83 ( none_H1106584047_state
% 0.66/0.83 != ( some_H1974565227_state @ A_35 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1109_option_Osimps_I3_J,axiom,
% 0.66/0.83 ! [A_34: com] :
% 0.66/0.83 ( ( some_com @ A_34 )
% 0.66/0.83 != none_com ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1110_option_Osimps_I3_J,axiom,
% 0.66/0.83 ! [A_34: pname] :
% 0.66/0.83 ( ( some_pname @ A_34 )
% 0.66/0.83 != none_pname ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1111_option_Osimps_I3_J,axiom,
% 0.66/0.83 ! [A_34: hoare_1708887482_state] :
% 0.66/0.83 ( ( some_H1974565227_state @ A_34 )
% 0.66/0.83 != none_H1106584047_state ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1112_not__Some__eq,axiom,
% 0.66/0.83 ! [X_11: option_com] :
% 0.66/0.83 ( ! [Y_4: com] :
% 0.66/0.83 ( X_11
% 0.66/0.83 != ( some_com @ Y_4 ) )
% 0.66/0.83 <=> ( X_11 = none_com ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1113_not__Some__eq,axiom,
% 0.66/0.83 ! [X_11: option_pname] :
% 0.66/0.83 ( ! [Y_4: pname] :
% 0.66/0.83 ( X_11
% 0.66/0.83 != ( some_pname @ Y_4 ) )
% 0.66/0.83 <=> ( X_11 = none_pname ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1114_not__Some__eq,axiom,
% 0.66/0.83 ! [X_11: option1624383643_state] :
% 0.66/0.83 ( ! [Y_4: hoare_1708887482_state] :
% 0.66/0.83 ( X_11
% 0.66/0.83 != ( some_H1974565227_state @ Y_4 ) )
% 0.66/0.83 <=> ( X_11 = none_H1106584047_state ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1115_not__None__eq,axiom,
% 0.66/0.83 ! [X_10: option_com] :
% 0.66/0.83 ( ( X_10 != none_com )
% 0.66/0.83 <=> ? [Y_4: com] :
% 0.66/0.83 ( X_10
% 0.66/0.83 = ( some_com @ Y_4 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1116_not__None__eq,axiom,
% 0.66/0.83 ! [X_10: option_pname] :
% 0.66/0.83 ( ( X_10 != none_pname )
% 0.66/0.83 <=> ? [Y_4: pname] :
% 0.66/0.83 ( X_10
% 0.66/0.83 = ( some_pname @ Y_4 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1117_not__None__eq,axiom,
% 0.66/0.83 ! [X_10: option1624383643_state] :
% 0.66/0.83 ( ( X_10 != none_H1106584047_state )
% 0.66/0.83 <=> ? [Y_4: hoare_1708887482_state] :
% 0.66/0.83 ( X_10
% 0.66/0.83 = ( some_H1974565227_state @ Y_4 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1118_dom__def,axiom,
% 0.66/0.83 ! [M_2: pname > option_com] :
% 0.66/0.83 ( ( dom_pname_com @ M_2 )
% 0.66/0.83 = ( collect_pname
% 0.66/0.83 @ ^ [A_6: pname] :
% 0.66/0.83 ( (~)
% 0.66/0.83 @ ( ( M_2 @ A_6 )
% 0.66/0.83 = none_com ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1119_domIff,axiom,
% 0.66/0.83 ! [A_33: pname,M_1: pname > option_com] :
% 0.66/0.83 ( ( member_pname @ A_33 @ ( dom_pname_com @ M_1 ) )
% 0.66/0.83 <=> ( ( M_1 @ A_33 )
% 0.66/0.83 != none_com ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1120_finite__imageD,axiom,
% 0.66/0.83 ! [F_18: pname > hoare_1708887482_state,A_32: pname > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ ( image_1116629049_state @ F_18 @ A_32 ) )
% 0.66/0.83 => ( ( inj_on1553129421_state @ F_18 @ A_32 )
% 0.66/0.83 => ( finite_finite_pname @ A_32 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1121_inj__on__Un__image__eq__iff,axiom,
% 0.66/0.83 ! [F_17: pname > hoare_1708887482_state,A_31: pname > $o,B_12: pname > $o] :
% 0.66/0.83 ( ( inj_on1553129421_state @ F_17 @ ( semila1780557381name_o @ A_31 @ B_12 ) )
% 0.66/0.83 => ( ( ( image_1116629049_state @ F_17 @ A_31 )
% 0.66/0.83 = ( image_1116629049_state @ F_17 @ B_12 ) )
% 0.66/0.83 <=> ( A_31 = B_12 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1122_is__none__def,axiom,
% 0.66/0.83 ! [X_9: option_com] :
% 0.66/0.83 ( ( is_none_com @ X_9 )
% 0.66/0.83 <=> ( X_9 = none_com ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1123_is__none__code_I1_J,axiom,
% 0.66/0.83 is_none_com @ none_com ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1124_inj__on__fun__updI,axiom,
% 0.66/0.83 ! [X_8: pname,Y_3: hoare_1708887482_state,F_16: pname > hoare_1708887482_state,A_30: pname > $o] :
% 0.66/0.83 ( ( inj_on1553129421_state @ F_16 @ A_30 )
% 0.66/0.83 => ( ~ ( member451959335_state @ Y_3 @ ( image_1116629049_state @ F_16 @ A_30 ) )
% 0.66/0.83 => ( inj_on1553129421_state @ ( fun_up1986763201_state @ F_16 @ X_8 @ Y_3 ) @ A_30 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1125_sup__le__fold__sup,axiom,
% 0.66/0.83 ! [B_11: pname > $o,A_29: pname > $o,A_28: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_28 )
% 0.66/0.83 => ( ( member_pname_o @ A_29 @ A_28 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1780557381name_o @ A_29 @ B_11 ) @ ( finite472615016name_o @ semila1780557381name_o @ B_11 @ A_28 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1126_sup__le__fold__sup,axiom,
% 0.66/0.83 ! [B_11: hoare_1708887482_state > $o,A_29: hoare_1708887482_state > $o,A_28: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_28 )
% 0.66/0.83 => ( ( member814030440tate_o @ A_29 @ A_28 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila1122118281tate_o @ A_29 @ B_11 ) @ ( finite822533768tate_o @ semila1122118281tate_o @ B_11 @ A_28 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1127_sup__le__fold__sup,axiom,
% 0.66/0.83 ! [B_11: $o,A_29: $o,A_28: $o > $o] :
% 0.66/0.83 ( ( finite_finite_o @ A_28 )
% 0.66/0.83 => ( ( member_o @ A_29 @ A_28 )
% 0.66/0.83 => ( ord_less_eq_o @ ( semila10642723_sup_o @ A_29 @ B_11 ) @ ( finite_fold_o_o @ semila10642723_sup_o @ B_11 @ A_28 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1128_fold__inf__le__inf,axiom,
% 0.66/0.83 ! [B_10: pname > $o,A_27: pname > $o,A_26: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_26 )
% 0.66/0.83 => ( ( member_pname_o @ A_27 @ A_26 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( finite472615016name_o @ semila1673364395name_o @ B_10 @ A_26 ) @ ( semila1673364395name_o @ A_27 @ B_10 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1129_fold__inf__le__inf,axiom,
% 0.66/0.83 ! [B_10: hoare_1708887482_state > $o,A_27: hoare_1708887482_state > $o,A_26: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_26 )
% 0.66/0.83 => ( ( member814030440tate_o @ A_27 @ A_26 )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( finite822533768tate_o @ semila129691299tate_o @ B_10 @ A_26 ) @ ( semila129691299tate_o @ A_27 @ B_10 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1130_fold__inf__le__inf,axiom,
% 0.66/0.83 ! [B_10: $o,A_27: $o,A_26: $o > $o] :
% 0.66/0.83 ( ( finite_finite_o @ A_26 )
% 0.66/0.83 => ( ( member_o @ A_27 @ A_26 )
% 0.66/0.83 => ( ord_less_eq_o @ ( finite_fold_o_o @ semila854092349_inf_o @ B_10 @ A_26 ) @ ( semila854092349_inf_o @ A_27 @ B_10 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1131_fold__sup__insert,axiom,
% 0.66/0.83 ! [B_9: pname > $o,A_25: pname > $o,A_24: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_24 )
% 0.66/0.83 => ( ( finite472615016name_o @ semila1780557381name_o @ B_9 @ ( insert_pname_o @ A_25 @ A_24 ) )
% 0.66/0.83 = ( semila1780557381name_o @ A_25 @ ( finite472615016name_o @ semila1780557381name_o @ B_9 @ A_24 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1132_fold__sup__insert,axiom,
% 0.66/0.83 ! [B_9: hoare_1708887482_state > $o,A_25: hoare_1708887482_state > $o,A_24: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_24 )
% 0.66/0.83 => ( ( finite822533768tate_o @ semila1122118281tate_o @ B_9 @ ( insert949073679tate_o @ A_25 @ A_24 ) )
% 0.66/0.83 = ( semila1122118281tate_o @ A_25 @ ( finite822533768tate_o @ semila1122118281tate_o @ B_9 @ A_24 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1133_fold__sup__insert,axiom,
% 0.66/0.83 ! [B_9: $o,A_25: $o,A_24: $o > $o] :
% 0.66/0.83 ( ( finite_finite_o @ A_24 )
% 0.66/0.83 => ( ( finite_fold_o_o @ semila10642723_sup_o @ B_9 @ ( insert_o @ A_25 @ A_24 ) )
% 0.66/0.83 <=> ( semila10642723_sup_o @ A_25 @ ( finite_fold_o_o @ semila10642723_sup_o @ B_9 @ A_24 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1134_fold__inf__insert,axiom,
% 0.66/0.83 ! [B_8: pname > $o,A_23: pname > $o,A_22: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_22 )
% 0.66/0.83 => ( ( finite472615016name_o @ semila1673364395name_o @ B_8 @ ( insert_pname_o @ A_23 @ A_22 ) )
% 0.66/0.83 = ( semila1673364395name_o @ A_23 @ ( finite472615016name_o @ semila1673364395name_o @ B_8 @ A_22 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1135_fold__inf__insert,axiom,
% 0.66/0.83 ! [B_8: hoare_1708887482_state > $o,A_23: hoare_1708887482_state > $o,A_22: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_22 )
% 0.66/0.83 => ( ( finite822533768tate_o @ semila129691299tate_o @ B_8 @ ( insert949073679tate_o @ A_23 @ A_22 ) )
% 0.66/0.83 = ( semila129691299tate_o @ A_23 @ ( finite822533768tate_o @ semila129691299tate_o @ B_8 @ A_22 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1136_dom__eq__empty__conv,axiom,
% 0.66/0.83 ! [F_15: pname > option_com] :
% 0.66/0.83 ( ( ( dom_pname_com @ F_15 )
% 0.66/0.83 = bot_bot_pname_o )
% 0.66/0.83 <=> ! [X_3: pname] :
% 0.66/0.83 ( ( F_15 @ X_3 )
% 0.66/0.83 = none_com ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1137_dom__empty,axiom,
% 0.66/0.83 ( ( dom_pname_com
% 0.66/0.83 @ ^ [X_3: pname] : none_com )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1138_Option_Oset_Osimps_I1_J,axiom,
% 0.66/0.83 ( ( set_com @ none_com )
% 0.66/0.83 = bot_bot_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1139_Option_Oset_Osimps_I1_J,axiom,
% 0.66/0.83 ( ( set_pname @ none_pname )
% 0.66/0.83 = bot_bot_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1140_Option_Oset_Osimps_I1_J,axiom,
% 0.66/0.83 ( ( set_Ho525251890_state @ none_H1106584047_state )
% 0.66/0.83 = bot_bo19817387tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1141_set__empty__eq,axiom,
% 0.66/0.83 ! [Xo: option_com] :
% 0.66/0.83 ( ( ( set_com @ Xo )
% 0.66/0.83 = bot_bot_com_o )
% 0.66/0.83 <=> ( Xo = none_com ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1142_set__empty__eq,axiom,
% 0.66/0.83 ! [Xo: option_pname] :
% 0.66/0.83 ( ( ( set_pname @ Xo )
% 0.66/0.83 = bot_bot_pname_o )
% 0.66/0.83 <=> ( Xo = none_pname ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1143_set__empty__eq,axiom,
% 0.66/0.83 ! [Xo: option1624383643_state] :
% 0.66/0.83 ( ( ( set_Ho525251890_state @ Xo )
% 0.66/0.83 = bot_bo19817387tate_o )
% 0.66/0.83 <=> ( Xo = none_H1106584047_state ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1144_endo__inj__surj,axiom,
% 0.66/0.83 ! [F_14: ( pname > $o ) > pname > $o,A_21: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_21 )
% 0.66/0.83 => ( ( ord_le1205211808me_o_o @ ( image_1085733413name_o @ F_14 @ A_21 ) @ A_21 )
% 0.66/0.83 => ( ( inj_on691924881name_o @ F_14 @ A_21 )
% 0.66/0.83 => ( ( image_1085733413name_o @ F_14 @ A_21 )
% 0.66/0.83 = A_21 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1145_endo__inj__surj,axiom,
% 0.66/0.83 ! [F_14: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,A_21: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_21 )
% 0.66/0.83 => ( ( ord_le1728773982te_o_o @ ( image_909543877tate_o @ F_14 @ A_21 ) @ A_21 )
% 0.66/0.83 => ( ( inj_on176908593tate_o @ F_14 @ A_21 )
% 0.66/0.83 => ( ( image_909543877tate_o @ F_14 @ A_21 )
% 0.66/0.83 = A_21 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1146_endo__inj__surj,axiom,
% 0.66/0.83 ! [F_14: pname > pname,A_21: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ A_21 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ ( image_pname_pname @ F_14 @ A_21 ) @ A_21 )
% 0.66/0.83 => ( ( inj_on_pname_pname @ F_14 @ A_21 )
% 0.66/0.83 => ( ( image_pname_pname @ F_14 @ A_21 )
% 0.66/0.83 = A_21 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1147_endo__inj__surj,axiom,
% 0.66/0.83 ! [F_14: hoare_1708887482_state > hoare_1708887482_state,A_21: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ A_21 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ ( image_757158439_state @ F_14 @ A_21 ) @ A_21 )
% 0.66/0.83 => ( ( inj_on632008595_state @ F_14 @ A_21 )
% 0.66/0.83 => ( ( image_757158439_state @ F_14 @ A_21 )
% 0.66/0.83 = A_21 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1148_finite__surj__inj,axiom,
% 0.66/0.83 ! [F_13: ( pname > $o ) > pname > $o,A_20: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_20 )
% 0.66/0.83 => ( ( ord_le1205211808me_o_o @ A_20 @ ( image_1085733413name_o @ F_13 @ A_20 ) )
% 0.66/0.83 => ( inj_on691924881name_o @ F_13 @ A_20 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1149_finite__surj__inj,axiom,
% 0.66/0.83 ! [F_13: ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,A_20: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_20 )
% 0.66/0.83 => ( ( ord_le1728773982te_o_o @ A_20 @ ( image_909543877tate_o @ F_13 @ A_20 ) )
% 0.66/0.83 => ( inj_on176908593tate_o @ F_13 @ A_20 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1150_finite__surj__inj,axiom,
% 0.66/0.83 ! [F_13: pname > pname,A_20: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ A_20 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ A_20 @ ( image_pname_pname @ F_13 @ A_20 ) )
% 0.66/0.83 => ( inj_on_pname_pname @ F_13 @ A_20 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1151_finite__surj__inj,axiom,
% 0.66/0.83 ! [F_13: hoare_1708887482_state > hoare_1708887482_state,A_20: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ A_20 )
% 0.66/0.83 => ( ( ord_le777019615tate_o @ A_20 @ ( image_757158439_state @ F_13 @ A_20 ) )
% 0.66/0.83 => ( inj_on632008595_state @ F_13 @ A_20 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1152_inj__on__image__Int,axiom,
% 0.66/0.83 ! [B_7: pname > $o,A_19: pname > $o,F_12: pname > hoare_1708887482_state,C_3: pname > $o] :
% 0.66/0.83 ( ( inj_on1553129421_state @ F_12 @ C_3 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ A_19 @ C_3 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ B_7 @ C_3 )
% 0.66/0.83 => ( ( image_1116629049_state @ F_12 @ ( semila1673364395name_o @ A_19 @ B_7 ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( image_1116629049_state @ F_12 @ A_19 ) @ ( image_1116629049_state @ F_12 @ B_7 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1153_inj__on__image__set__diff,axiom,
% 0.66/0.83 ! [B_6: pname > $o,A_18: pname > $o,F_11: pname > hoare_1708887482_state,C_2: pname > $o] :
% 0.66/0.83 ( ( inj_on1553129421_state @ F_11 @ C_2 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ A_18 @ C_2 )
% 0.66/0.83 => ( ( ord_less_eq_pname_o @ B_6 @ C_2 )
% 0.66/0.83 => ( ( image_1116629049_state @ F_11 @ ( minus_minus_pname_o @ A_18 @ B_6 ) )
% 0.66/0.83 = ( minus_2056855718tate_o @ ( image_1116629049_state @ F_11 @ A_18 ) @ ( image_1116629049_state @ F_11 @ B_6 ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1154_union__fold__insert,axiom,
% 0.66/0.83 ! [B_5: com > $o,A_17: com > $o] :
% 0.66/0.83 ( ( finite_finite_com @ A_17 )
% 0.66/0.83 => ( ( semila1562558655_com_o @ A_17 @ B_5 )
% 0.66/0.83 = ( finite504235573_com_o @ insert_com @ B_5 @ A_17 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1155_union__fold__insert,axiom,
% 0.66/0.83 ! [B_5: pname > $o,A_17: pname > $o] :
% 0.66/0.83 ( ( finite_finite_pname @ A_17 )
% 0.66/0.83 => ( ( semila1780557381name_o @ A_17 @ B_5 )
% 0.66/0.83 = ( finite603803317name_o @ insert_pname @ B_5 @ A_17 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1156_union__fold__insert,axiom,
% 0.66/0.83 ! [B_5: hoare_1708887482_state > $o,A_17: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite1625599783_state @ A_17 )
% 0.66/0.83 => ( ( semila1122118281tate_o @ A_17 @ B_5 )
% 0.66/0.83 = ( finite96880613tate_o @ insert528405184_state @ B_5 @ A_17 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1157_union__fold__insert,axiom,
% 0.66/0.83 ! [B_5: ( pname > $o ) > $o,A_17: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_17 )
% 0.66/0.83 => ( ( semila181081674me_o_o @ A_17 @ B_5 )
% 0.66/0.83 = ( finite1849951719me_o_o @ insert_pname_o @ B_5 @ A_17 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1158_union__fold__insert,axiom,
% 0.66/0.83 ! [B_5: ( hoare_1708887482_state > $o ) > $o,A_17: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_17 )
% 0.66/0.83 => ( ( semila1853742644te_o_o @ A_17 @ B_5 )
% 0.66/0.83 = ( finite463603445te_o_o @ insert949073679tate_o @ B_5 @ A_17 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1159_dom__minus,axiom,
% 0.66/0.83 ! [A_16: pname > $o,F_10: pname > option_com,X_7: pname] :
% 0.66/0.83 ( ( ( F_10 @ X_7 )
% 0.66/0.83 = none_com )
% 0.66/0.83 => ( ( minus_minus_pname_o @ ( dom_pname_com @ F_10 ) @ ( insert_pname @ X_7 @ A_16 ) )
% 0.66/0.83 = ( minus_minus_pname_o @ ( dom_pname_com @ F_10 ) @ A_16 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1160_Sup__fin_Oidem,axiom,
% 0.66/0.83 ! [X_6: $o] :
% 0.66/0.83 ( ( semila10642723_sup_o @ X_6 @ X_6 )
% 0.66/0.83 <=> X_6 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1161_Sup__fin_Oidem,axiom,
% 0.66/0.83 ! [X_6: pname > $o] :
% 0.66/0.83 ( ( semila1780557381name_o @ X_6 @ X_6 )
% 0.66/0.83 = X_6 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1162_Sup__fin_Oidem,axiom,
% 0.66/0.83 ! [X_6: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( semila1122118281tate_o @ X_6 @ X_6 )
% 0.66/0.83 = X_6 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1163_folding__one_Oeq__fold_H,axiom,
% 0.66/0.83 ! [X_5: com,A_15: com > $o,F_9: com > com > com,F_8: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite860057415ne_com @ F_9 @ F_8 )
% 0.66/0.83 => ( ( finite_finite_com @ A_15 )
% 0.66/0.83 => ( ~ ( member_com @ X_5 @ A_15 )
% 0.66/0.83 => ( ( F_8 @ ( insert_com @ X_5 @ A_15 ) )
% 0.66/0.83 = ( finite_fold_com_com @ F_9 @ X_5 @ A_15 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1164_folding__one_Oeq__fold_H,axiom,
% 0.66/0.83 ! [X_5: pname,A_15: pname > $o,F_9: pname > pname > pname,F_8: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite1282449217_pname @ F_9 @ F_8 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_15 )
% 0.66/0.83 => ( ~ ( member_pname @ X_5 @ A_15 )
% 0.66/0.83 => ( ( F_8 @ ( insert_pname @ X_5 @ A_15 ) )
% 0.66/0.83 = ( finite1657623752_pname @ F_9 @ X_5 @ A_15 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1165_folding__one_Oeq__fold_H,axiom,
% 0.66/0.83 ! [X_5: hoare_1708887482_state,A_15: hoare_1708887482_state > $o,F_9: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_8: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1615457021_state @ F_9 @ F_8 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_15 )
% 0.66/0.83 => ( ~ ( member451959335_state @ X_5 @ A_15 )
% 0.66/0.83 => ( ( F_8 @ ( insert528405184_state @ X_5 @ A_15 ) )
% 0.66/0.83 = ( finite309095018_state @ F_9 @ X_5 @ A_15 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1166_folding__one_Oeq__fold_H,axiom,
% 0.66/0.83 ! [X_5: pname > $o,A_15: ( pname > $o ) > $o,F_9: ( pname > $o ) > ( pname > $o ) > pname > $o,F_8: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite349908348name_o @ F_9 @ F_8 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_15 )
% 0.66/0.83 => ( ~ ( member_pname_o @ X_5 @ A_15 )
% 0.66/0.83 => ( ( F_8 @ ( insert_pname_o @ X_5 @ A_15 ) )
% 0.66/0.83 = ( finite472615016name_o @ F_9 @ X_5 @ A_15 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1167_folding__one_Oeq__fold_H,axiom,
% 0.66/0.83 ! [X_5: hoare_1708887482_state > $o,A_15: ( hoare_1708887482_state > $o ) > $o,F_9: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_8: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite928843026tate_o @ F_9 @ F_8 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_15 )
% 0.66/0.83 => ( ~ ( member814030440tate_o @ X_5 @ A_15 )
% 0.66/0.83 => ( ( F_8 @ ( insert949073679tate_o @ X_5 @ A_15 ) )
% 0.66/0.83 = ( finite822533768tate_o @ F_9 @ X_5 @ A_15 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1168_folding__one__idem_Oeq__fold__idem_H,axiom,
% 0.66/0.83 ! [A_14: com,A_13: com > $o,F_7: com > com > com,F_6: ( com > $o ) > com] :
% 0.66/0.83 ( ( finite666746948em_com @ F_7 @ F_6 )
% 0.66/0.83 => ( ( finite_finite_com @ A_13 )
% 0.66/0.83 => ( ( F_6 @ ( insert_com @ A_14 @ A_13 ) )
% 0.66/0.83 = ( finite_fold_com_com @ F_7 @ A_14 @ A_13 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1169_folding__one__idem_Oeq__fold__idem_H,axiom,
% 0.66/0.83 ! [A_14: pname,A_13: pname > $o,F_7: pname > pname > pname,F_6: ( pname > $o ) > pname] :
% 0.66/0.83 ( ( finite89670078_pname @ F_7 @ F_6 )
% 0.66/0.83 => ( ( finite_finite_pname @ A_13 )
% 0.66/0.83 => ( ( F_6 @ ( insert_pname @ A_14 @ A_13 ) )
% 0.66/0.83 = ( finite1657623752_pname @ F_7 @ A_14 @ A_13 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1170_folding__one__idem_Oeq__fold__idem_H,axiom,
% 0.66/0.83 ! [A_14: hoare_1708887482_state,A_13: hoare_1708887482_state > $o,F_7: hoare_1708887482_state > hoare_1708887482_state > hoare_1708887482_state,F_6: ( hoare_1708887482_state > $o ) > hoare_1708887482_state] :
% 0.66/0.83 ( ( finite1347568576_state @ F_7 @ F_6 )
% 0.66/0.83 => ( ( finite1625599783_state @ A_13 )
% 0.66/0.83 => ( ( F_6 @ ( insert528405184_state @ A_14 @ A_13 ) )
% 0.66/0.83 = ( finite309095018_state @ F_7 @ A_14 @ A_13 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1171_folding__one__idem_Oeq__fold__idem_H,axiom,
% 0.66/0.83 ! [A_14: pname > $o,A_13: ( pname > $o ) > $o,F_7: ( pname > $o ) > ( pname > $o ) > pname > $o,F_6: ( ( pname > $o ) > $o ) > pname > $o] :
% 0.66/0.83 ( ( finite697516351name_o @ F_7 @ F_6 )
% 0.66/0.83 => ( ( finite297249702name_o @ A_13 )
% 0.66/0.83 => ( ( F_6 @ ( insert_pname_o @ A_14 @ A_13 ) )
% 0.66/0.83 = ( finite472615016name_o @ F_7 @ A_14 @ A_13 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1172_folding__one__idem_Oeq__fold__idem_H,axiom,
% 0.66/0.83 ! [A_14: hoare_1708887482_state > $o,A_13: ( hoare_1708887482_state > $o ) > $o,F_7: ( hoare_1708887482_state > $o ) > ( hoare_1708887482_state > $o ) > hoare_1708887482_state > $o,F_6: ( ( hoare_1708887482_state > $o ) > $o ) > hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( finite621643279tate_o @ F_7 @ F_6 )
% 0.66/0.83 => ( ( finite1329924456tate_o @ A_13 )
% 0.66/0.83 => ( ( F_6 @ ( insert949073679tate_o @ A_14 @ A_13 ) )
% 0.66/0.83 = ( finite822533768tate_o @ F_7 @ A_14 @ A_13 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1173_WT_OBody,axiom,
% 0.66/0.83 ! [Pn_1: pname] :
% 0.66/0.83 ( ( ( body @ Pn_1 )
% 0.66/0.83 != none_com )
% 0.66/0.83 => ( wt @ ( body_1 @ Pn_1 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1174_inj__on__insert,axiom,
% 0.66/0.83 ! [F_5: pname > hoare_1708887482_state,A_12: pname,A_11: pname > $o] :
% 0.66/0.83 ( ( inj_on1553129421_state @ F_5 @ ( insert_pname @ A_12 @ A_11 ) )
% 0.66/0.83 <=> ( ( inj_on1553129421_state @ F_5 @ A_11 )
% 0.66/0.83 & ~ ( member451959335_state @ ( F_5 @ A_12 ) @ ( image_1116629049_state @ F_5 @ ( minus_minus_pname_o @ A_11 @ ( insert_pname @ A_12 @ bot_bot_pname_o ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1175_dom__fun__upd,axiom,
% 0.66/0.83 ! [F_4: pname > option_com,X_4: pname,Y_2: option_com] :
% 0.66/0.83 ( ( ( Y_2 = none_com )
% 0.66/0.83 => ( ( dom_pname_com @ ( fun_up879233478on_com @ F_4 @ X_4 @ Y_2 ) )
% 0.66/0.83 = ( minus_minus_pname_o @ ( dom_pname_com @ F_4 ) @ ( insert_pname @ X_4 @ bot_bot_pname_o ) ) ) )
% 0.66/0.83 & ( ( Y_2 != none_com )
% 0.66/0.83 => ( ( dom_pname_com @ ( fun_up879233478on_com @ F_4 @ X_4 @ Y_2 ) )
% 0.66/0.83 = ( insert_pname @ X_4 @ ( dom_pname_com @ F_4 ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1176_inf__le__fold__inf,axiom,
% 0.66/0.83 ! [C_1: pname > $o,B_4: pname > $o,A_10: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_10 )
% 0.66/0.83 => ( ! [X_3: pname > $o] :
% 0.66/0.83 ( ( member_pname_o @ X_3 @ A_10 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ B_4 @ X_3 ) )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( semila1673364395name_o @ B_4 @ C_1 ) @ ( finite472615016name_o @ semila1673364395name_o @ C_1 @ A_10 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1177_inf__le__fold__inf,axiom,
% 0.66/0.83 ! [C_1: hoare_1708887482_state > $o,B_4: hoare_1708887482_state > $o,A_10: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_10 )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member814030440tate_o @ X_3 @ A_10 )
% 0.66/0.83 => ( ord_le777019615tate_o @ B_4 @ X_3 ) )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( semila129691299tate_o @ B_4 @ C_1 ) @ ( finite822533768tate_o @ semila129691299tate_o @ C_1 @ A_10 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1178_inf__le__fold__inf,axiom,
% 0.66/0.83 ! [C_1: $o,B_4: $o,A_10: $o > $o] :
% 0.66/0.83 ( ( finite_finite_o @ A_10 )
% 0.66/0.83 => ( ! [X_3: $o] :
% 0.66/0.83 ( ( member_o @ X_3 @ A_10 )
% 0.66/0.83 => ( ord_less_eq_o @ B_4 @ X_3 ) )
% 0.66/0.83 => ( ord_less_eq_o @ ( semila854092349_inf_o @ B_4 @ C_1 ) @ ( finite_fold_o_o @ semila854092349_inf_o @ C_1 @ A_10 ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1179_fold__sup__le__sup,axiom,
% 0.66/0.83 ! [C: pname > $o,B_3: pname > $o,A_9: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_9 )
% 0.66/0.83 => ( ! [X_3: pname > $o] :
% 0.66/0.83 ( ( member_pname_o @ X_3 @ A_9 )
% 0.66/0.83 => ( ord_less_eq_pname_o @ X_3 @ B_3 ) )
% 0.66/0.83 => ( ord_less_eq_pname_o @ ( finite472615016name_o @ semila1780557381name_o @ C @ A_9 ) @ ( semila1780557381name_o @ B_3 @ C ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1180_fold__sup__le__sup,axiom,
% 0.66/0.83 ! [C: hoare_1708887482_state > $o,B_3: hoare_1708887482_state > $o,A_9: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_9 )
% 0.66/0.83 => ( ! [X_3: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( member814030440tate_o @ X_3 @ A_9 )
% 0.66/0.83 => ( ord_le777019615tate_o @ X_3 @ B_3 ) )
% 0.66/0.83 => ( ord_le777019615tate_o @ ( finite822533768tate_o @ semila1122118281tate_o @ C @ A_9 ) @ ( semila1122118281tate_o @ B_3 @ C ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1181_fold__sup__le__sup,axiom,
% 0.66/0.83 ! [C: $o,B_3: $o,A_9: $o > $o] :
% 0.66/0.83 ( ( finite_finite_o @ A_9 )
% 0.66/0.83 => ( ! [X_3: $o] :
% 0.66/0.83 ( ( member_o @ X_3 @ A_9 )
% 0.66/0.83 => ( ord_less_eq_o @ X_3 @ B_3 ) )
% 0.66/0.83 => ( ord_less_eq_o @ ( finite_fold_o_o @ semila10642723_sup_o @ C @ A_9 ) @ ( semila10642723_sup_o @ B_3 @ C ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1182_inj__on__iff__surj,axiom,
% 0.66/0.83 ! [A_8: pname > $o,A_7: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( A_7 != bot_bo19817387tate_o )
% 0.66/0.83 => ( ? [F_3: hoare_1708887482_state > pname] :
% 0.66/0.83 ( ( inj_on1945914667_pname @ F_3 @ A_7 )
% 0.66/0.83 & ( ord_less_eq_pname_o @ ( image_1509414295_pname @ F_3 @ A_7 ) @ A_8 ) )
% 0.66/0.83 <=> ? [G_1: pname > hoare_1708887482_state] :
% 0.66/0.83 ( ( image_1116629049_state @ G_1 @ A_8 )
% 0.66/0.83 = A_7 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1183_inj__on__iff__surj,axiom,
% 0.66/0.83 ! [A_8: hoare_1708887482_state > $o,A_7: pname > $o] :
% 0.66/0.83 ( ( A_7 != bot_bot_pname_o )
% 0.66/0.83 => ( ? [F_3: pname > hoare_1708887482_state] :
% 0.66/0.83 ( ( inj_on1553129421_state @ F_3 @ A_7 )
% 0.66/0.83 & ( ord_le777019615tate_o @ ( image_1116629049_state @ F_3 @ A_7 ) @ A_8 ) )
% 0.66/0.83 <=> ? [G_1: hoare_1708887482_state > pname] :
% 0.66/0.83 ( ( image_1509414295_pname @ G_1 @ A_8 )
% 0.66/0.83 = A_7 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1184_option_Oexhaust,axiom,
% 0.66/0.83 ! [Y_1: option_com] :
% 0.66/0.83 ( ( Y_1 != none_com )
% 0.66/0.83 => ~ ! [A_6: com] :
% 0.66/0.83 ( Y_1
% 0.66/0.83 != ( some_com @ A_6 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1185_option_Oexhaust,axiom,
% 0.66/0.83 ! [Y_1: option_pname] :
% 0.66/0.83 ( ( Y_1 != none_pname )
% 0.66/0.83 => ~ ! [A_6: pname] :
% 0.66/0.83 ( Y_1
% 0.66/0.83 != ( some_pname @ A_6 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1186_option_Oexhaust,axiom,
% 0.66/0.83 ! [Y_1: option1624383643_state] :
% 0.66/0.83 ( ( Y_1 != none_H1106584047_state )
% 0.66/0.83 => ~ ! [A_6: hoare_1708887482_state] :
% 0.66/0.83 ( Y_1
% 0.66/0.83 != ( some_H1974565227_state @ A_6 ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1187_Cantor__Bernstein__aux,axiom,
% 0.66/0.83 ! [G: hoare_1708887482_state > pname,B_2: hoare_1708887482_state > $o,F_2: pname > hoare_1708887482_state,A_4: pname > $o] :
% 0.66/0.83 ? [A_5: pname > $o] :
% 0.66/0.83 ( ( ord_less_eq_pname_o @ A_5 @ A_4 )
% 0.66/0.83 & ! [X_3: pname] :
% 0.66/0.83 ( ( member_pname @ X_3 @ A_5 )
% 0.66/0.83 => ~ ( member_pname @ X_3 @ ( image_1509414295_pname @ G @ ( minus_2056855718tate_o @ B_2 @ ( image_1116629049_state @ F_2 @ A_5 ) ) ) ) )
% 0.66/0.83 & ? [H: pname > hoare_1708887482_state] :
% 0.66/0.83 ( ! [X_3: pname] :
% 0.66/0.83 ( ( member_pname @ X_3 @ A_5 )
% 0.66/0.83 => ( ( H @ X_3 )
% 0.66/0.83 = ( F_2 @ X_3 ) ) )
% 0.66/0.83 & ! [X_3: pname] :
% 0.66/0.83 ( ( member_pname @ X_3 @ ( minus_minus_pname_o @ A_4 @ A_5 ) )
% 0.66/0.83 => ( ( member451959335_state @ ( H @ X_3 ) @ ( minus_2056855718tate_o @ B_2 @ ( image_1116629049_state @ F_2 @ A_5 ) ) )
% 0.66/0.83 & ( X_3
% 0.66/0.83 = ( G @ ( H @ X_3 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1188_Cantor__Bernstein__aux,axiom,
% 0.66/0.83 ! [G: pname > hoare_1708887482_state,B_2: pname > $o,F_2: hoare_1708887482_state > pname,A_4: hoare_1708887482_state > $o] :
% 0.66/0.83 ? [A_5: hoare_1708887482_state > $o] :
% 0.66/0.83 ( ( ord_le777019615tate_o @ A_5 @ A_4 )
% 0.66/0.83 & ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( member451959335_state @ X_3 @ A_5 )
% 0.66/0.83 => ~ ( member451959335_state @ X_3 @ ( image_1116629049_state @ G @ ( minus_minus_pname_o @ B_2 @ ( image_1509414295_pname @ F_2 @ A_5 ) ) ) ) )
% 0.66/0.83 & ? [H: hoare_1708887482_state > pname] :
% 0.66/0.83 ( ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( member451959335_state @ X_3 @ A_5 )
% 0.66/0.83 => ( ( H @ X_3 )
% 0.66/0.83 = ( F_2 @ X_3 ) ) )
% 0.66/0.83 & ! [X_3: hoare_1708887482_state] :
% 0.66/0.83 ( ( member451959335_state @ X_3 @ ( minus_2056855718tate_o @ A_4 @ A_5 ) )
% 0.66/0.83 => ( ( member_pname @ ( H @ X_3 ) @ ( minus_minus_pname_o @ B_2 @ ( image_1509414295_pname @ F_2 @ A_5 ) ) )
% 0.66/0.83 & ( X_3
% 0.66/0.83 = ( G @ ( H @ X_3 ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1189_image__vimage__subset,axiom,
% 0.66/0.83 ! [F_1: pname > hoare_1708887482_state,A_3: hoare_1708887482_state > $o] : ( ord_le777019615tate_o @ ( image_1116629049_state @ F_1 @ ( vimage1943311875_state @ F_1 @ A_3 ) ) @ A_3 ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1190_dom__restrict,axiom,
% 0.66/0.83 ! [M: pname > option_com,A_2: pname > $o] :
% 0.66/0.83 ( ( dom_pname_com @ ( restri1382200118me_com @ M @ A_2 ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( dom_pname_com @ M ) @ A_2 ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1191_Inf__fin_Ounion__disjoint,axiom,
% 0.66/0.83 ! [B_1: ( pname > $o ) > $o,A_1: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A_1 )
% 0.66/0.83 => ( ( A_1 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( finite297249702name_o @ B_1 )
% 0.66/0.83 => ( ( B_1 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( ( semila2013987940me_o_o @ A_1 @ B_1 )
% 0.66/0.83 = bot_bot_pname_o_o )
% 0.66/0.83 => ( ( big_la1126801287name_o @ ( semila181081674me_o_o @ A_1 @ B_1 ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( big_la1126801287name_o @ A_1 ) @ ( big_la1126801287name_o @ B_1 ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1192_Inf__fin_Ounion__disjoint,axiom,
% 0.66/0.83 ! [B_1: ( hoare_1708887482_state > $o ) > $o,A_1: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A_1 )
% 0.66/0.83 => ( ( A_1 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( finite1329924456tate_o @ B_1 )
% 0.66/0.83 => ( ( B_1 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( ( semila598060698te_o_o @ A_1 @ B_1 )
% 0.66/0.83 = bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( big_la781588935tate_o @ ( semila1853742644te_o_o @ A_1 @ B_1 ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( big_la781588935tate_o @ A_1 ) @ ( big_la781588935tate_o @ B_1 ) ) ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1193_Inf__fin_Ounion__inter,axiom,
% 0.66/0.83 ! [B: ( pname > $o ) > $o,A: ( pname > $o ) > $o] :
% 0.66/0.83 ( ( finite297249702name_o @ A )
% 0.66/0.83 => ( ( finite297249702name_o @ B )
% 0.66/0.83 => ( ( ( semila2013987940me_o_o @ A @ B )
% 0.66/0.83 != bot_bot_pname_o_o )
% 0.66/0.83 => ( ( semila1673364395name_o @ ( big_la1126801287name_o @ ( semila181081674me_o_o @ A @ B ) ) @ ( big_la1126801287name_o @ ( semila2013987940me_o_o @ A @ B ) ) )
% 0.66/0.83 = ( semila1673364395name_o @ ( big_la1126801287name_o @ A ) @ ( big_la1126801287name_o @ B ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1194_Inf__fin_Ounion__inter,axiom,
% 0.66/0.83 ! [B: ( hoare_1708887482_state > $o ) > $o,A: ( hoare_1708887482_state > $o ) > $o] :
% 0.66/0.83 ( ( finite1329924456tate_o @ A )
% 0.66/0.83 => ( ( finite1329924456tate_o @ B )
% 0.66/0.83 => ( ( ( semila598060698te_o_o @ A @ B )
% 0.66/0.83 != bot_bo1678742418te_o_o )
% 0.66/0.83 => ( ( semila129691299tate_o @ ( big_la781588935tate_o @ ( semila1853742644te_o_o @ A @ B ) ) @ ( big_la781588935tate_o @ ( semila598060698te_o_o @ A @ B ) ) )
% 0.66/0.83 = ( semila129691299tate_o @ ( big_la781588935tate_o @ A ) @ ( big_la781588935tate_o @ B ) ) ) ) ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1195_UNIV__I,axiom,
% 0.66/0.83 ! [X_2: com] : ( member_com @ X_2 @ top_top_com_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1196_UNIV__I,axiom,
% 0.66/0.83 ! [X_2: pname] : ( member_pname @ X_2 @ top_top_pname_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1197_UNIV__I,axiom,
% 0.66/0.83 ! [X_2: hoare_1708887482_state] : ( member451959335_state @ X_2 @ top_to832624271tate_o ) ).
% 0.66/0.83
% 0.66/0.83 thf(fact_1198_rangeI,axiom,
% 0.66/0.83 ! [F: pname > hoare_1708887482_state,X_1: pname] : ( member451959335_state @ ( F @ X_1 ) @ ( image_1116629049_state @ F @ top_top_pname_o ) ) ).
% 0.66/0.83
% 0.66/0.83 %----Helper facts (18)
% 0.66/0.83 thf(help_fequal_1_1_fequal_000tc__Com__Ocom_T,axiom,
% 0.66/0.83 ! [X: com,Y: com] :
% 0.66/0.83 ( ~ ( fequal_com @ X @ Y )
% 0.66/0.83 | ( X = Y ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(help_fequal_2_1_fequal_000tc__Com__Ocom_T,axiom,
% 0.66/0.83 ! [X: com,Y: com] :
% 0.66/0.83 ( ( X != Y )
% 0.66/0.83 | ( fequal_com @ X @ Y ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(help_fequal_1_1_fequal_000tc__Com__Opname_T,axiom,
% 0.66/0.83 ! [X: pname,Y: pname] :
% 0.66/0.83 ( ~ ( fequal_pname @ X @ Y )
% 0.66/0.83 | ( X = Y ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(help_fequal_2_1_fequal_000tc__Com__Opname_T,axiom,
% 0.66/0.83 ! [X: pname,Y: pname] :
% 0.66/0.83 ( ( X != Y )
% 0.66/0.83 | ( fequal_pname @ X @ Y ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(help_fequal_1_1_fequal_000tc__Com__Ostate_T,axiom,
% 0.66/0.83 ! [X: state,Y: state] :
% 0.66/0.83 ( ~ ( fequal_state @ X @ Y )
% 0.66/0.83 | ( X = Y ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(help_fequal_2_1_fequal_000tc__Com__Ostate_T,axiom,
% 0.66/0.83 ! [X: state,Y: state] :
% 0.66/0.83 ( ( X != Y )
% 0.66/0.83 | ( fequal_state @ X @ Y ) ) ).
% 0.66/0.83
% 0.66/0.83 thf(help_fequal_1_1_fequal_000_062_Itc__Com__Opname_M_Eo_J_T,axiom,
% 0.66/0.83 ! [X: pname > $o,Y: pname > $o] :
% 0.66/0.83 ( ~ ( fequal_pname_o @ X @ Y )
% 0.66/1.04 | ( X = Y ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_fequal_2_1_fequal_000_062_Itc__Com__Opname_M_Eo_J_T,axiom,
% 0.66/1.04 ! [X: pname > $o,Y: pname > $o] :
% 0.66/1.04 ( ( X != Y )
% 0.66/1.04 | ( fequal_pname_o @ X @ Y ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_If_1_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T,axiom,
% 0.66/1.04 ! [X: option_com,Y: option_com] :
% 0.66/1.04 ( ( if_option_com @ $true @ X @ Y )
% 0.66/1.04 = X ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_If_2_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T,axiom,
% 0.66/1.04 ! [X: option_com,Y: option_com] :
% 0.66/1.04 ( ( if_option_com @ $false @ X @ Y )
% 0.66/1.04 = Y ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_If_3_1_If_000tc__Option__Ooption_Itc__Com__Ocom_J_T,axiom,
% 0.66/1.04 ! [P: $o] :
% 0.66/1.04 ( ( P = $true )
% 0.66/1.04 | ( P = $false ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_If_1_1_If_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate,axiom,
% 0.66/1.04 ! [X: hoare_1708887482_state,Y: hoare_1708887482_state] :
% 0.66/1.04 ( ( if_Hoa1374726218_state @ $true @ X @ Y )
% 0.66/1.04 = X ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_If_2_1_If_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate,axiom,
% 0.66/1.04 ! [X: hoare_1708887482_state,Y: hoare_1708887482_state] :
% 0.66/1.04 ( ( if_Hoa1374726218_state @ $false @ X @ Y )
% 0.66/1.04 = Y ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_If_3_1_If_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com__Ostate,axiom,
% 0.66/1.04 ! [P: $o] :
% 0.66/1.04 ( ( P = $true )
% 0.66/1.04 | ( P = $false ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_fequal_1_1_fequal_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com,axiom,
% 0.66/1.04 ! [X: hoare_1708887482_state,Y: hoare_1708887482_state] :
% 0.66/1.04 ( ~ ( fequal224822779_state @ X @ Y )
% 0.66/1.04 | ( X = Y ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_fequal_2_1_fequal_000tc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_Itc__Com,axiom,
% 0.66/1.04 ! [X: hoare_1708887482_state,Y: hoare_1708887482_state] :
% 0.66/1.04 ( ( X != Y )
% 0.66/1.04 | ( fequal224822779_state @ X @ Y ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_fequal_1_1_fequal_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_It,axiom,
% 0.66/1.04 ! [X: hoare_1708887482_state > $o,Y: hoare_1708887482_state > $o] :
% 0.66/1.04 ( ~ ( fequal1436017556tate_o @ X @ Y )
% 0.66/1.04 | ( X = Y ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(help_fequal_2_1_fequal_000_062_Itc__Hoare____Mirabelle____nqhfsdfvyv__Otriple_It,axiom,
% 0.66/1.04 ! [X: hoare_1708887482_state > $o,Y: hoare_1708887482_state > $o] :
% 0.66/1.04 ( ( X != Y )
% 0.66/1.04 | ( fequal1436017556tate_o @ X @ Y ) ) ).
% 0.66/1.04
% 0.66/1.04 %----Conjectures (8)
% 0.66/1.04 thf(conj_0,hypothesis,
% 0.66/1.04 hoare_1160767572gleton ).
% 0.66/1.04
% 0.66/1.04 thf(conj_1,hypothesis,
% 0.66/1.04 wT_bodies ).
% 0.66/1.04
% 0.66/1.04 thf(conj_2,hypothesis,
% 0.66/1.04 finite1625599783_state @ fa ).
% 0.66/1.04
% 0.66/1.04 thf(conj_3,hypothesis,
% 0.66/1.04 ~ ( member451959335_state @ ( hoare_Mirabelle_MGT @ y ) @ fa ) ).
% 0.66/1.04
% 0.66/1.04 thf(conj_4,hypothesis,
% 0.66/1.04 ( ord_le777019615tate_o @ fa
% 0.66/1.04 @ ( image_1116629049_state
% 0.66/1.04 @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( the_com @ ( body @ Pn ) ) )
% 0.66/1.04 @ ( dom_pname_com @ body ) ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(conj_5,hypothesis,
% 0.66/1.04 ( ( body @ pn )
% 0.66/1.04 = ( some_com @ y ) ) ).
% 0.66/1.04
% 0.66/1.04 thf(conj_6,hypothesis,
% 0.66/1.04 ( hoare_90032982_state
% 0.66/1.04 @ ( image_1116629049_state
% 0.66/1.04 @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
% 0.66/1.04 @ ( dom_pname_com @ body ) )
% 0.66/1.04 @ fa ) ).
% 0.66/1.04
% 0.66/1.04 thf(conj_7,conjecture,
% 0.66/1.04 ( hoare_90032982_state
% 0.66/1.04 @ ( image_1116629049_state
% 0.66/1.04 @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
% 0.66/1.04 @ ( dom_pname_com @ body ) )
% 0.66/1.04 @ ( insert528405184_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo19817387tate_o ) ) ).
% 0.66/1.04
% 0.66/1.04 %------------------------------------------------------------------------------
% 0.66/1.04 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1ZgruLpZtm/cvc5---1.0.5_29699.p...
% 0.66/1.04 (declare-sort $$unsorted 0)
% 0.66/1.04 (declare-sort tptp.com 0)
% 0.66/1.04 (declare-sort tptp.pname 0)
% 0.66/1.04 (declare-sort tptp.state 0)
% 0.66/1.04 (declare-sort tptp.hoare_1708887482_state 0)
% 0.66/1.04 (declare-sort tptp.option_com 0)
% 0.66/1.04 (declare-sort tptp.option_pname 0)
% 0.66/1.04 (declare-sort tptp.option1624383643_state 0)
% 0.66/1.04 (declare-fun tptp.big_la1126801287name_o ((-> (-> tptp.pname Bool) Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.big_la781588935tate_o ((-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.wt (tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.wT_bodies () Bool)
% 0.66/1.04 (declare-fun tptp.body (tptp.pname) tptp.option_com)
% 0.66/1.04 (declare-fun tptp.body_1 (tptp.pname) tptp.com)
% 0.66/1.04 (declare-fun tptp.skip () tptp.com)
% 0.66/1.04 (declare-fun tptp.semi (tptp.com tptp.com) tptp.com)
% 0.66/1.04 (declare-fun tptp.while ((-> tptp.state Bool) tptp.com) tptp.com)
% 0.66/1.04 (declare-fun tptp.finite138924780name_o ((-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite2034616076tate_o ((-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite2048025996em_o_o ((-> Bool Bool Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite567462577_com_o ((-> tptp.com (-> tptp.com Bool) tptp.com Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1123817265name_o ((-> tptp.pname (-> tptp.pname Bool) tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite662762081tate_o ((-> tptp.hoare_1708887482_state (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1066544169me_o_o ((-> (-> (-> tptp.pname Bool) Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1019950101te_o_o ((-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite297249702name_o ((-> (-> tptp.pname Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1329924456tate_o ((-> (-> tptp.hoare_1708887482_state Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite_finite_o ((-> Bool Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite_finite_com ((-> tptp.com Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite_finite_pname ((-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1625599783_state ((-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1849951719me_o_o ((-> (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite472615016name_o ((-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool) (-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.finite463603445te_o_o ((-> (-> tptp.hoare_1708887482_state Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> tptp.hoare_1708887482_state Bool) Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite822533768tate_o ((-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.finite_fold_o_o ((-> Bool Bool Bool) Bool (-> Bool Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite504235573_com_o ((-> tptp.com (-> tptp.com Bool) tptp.com Bool) (-> tptp.com Bool) (-> tptp.com Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.finite_fold_com_com ((-> tptp.com tptp.com tptp.com) tptp.com (-> tptp.com Bool)) tptp.com)
% 0.66/1.04 (declare-fun tptp.finite603803317name_o ((-> tptp.pname (-> tptp.pname Bool) tptp.pname Bool) (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.finite1657623752_pname ((-> tptp.pname tptp.pname tptp.pname) tptp.pname (-> tptp.pname Bool)) tptp.pname)
% 0.66/1.04 (declare-fun tptp.finite96880613tate_o ((-> tptp.hoare_1708887482_state (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.finite309095018_state ((-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state) tptp.hoare_1708887482_state (-> tptp.hoare_1708887482_state Bool)) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.finite2139561282_pname ((-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool) (-> tptp.pname tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) (-> tptp.pname Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.finite349908348name_o ((-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool) (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite928843026tate_o ((-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool) (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite860057415ne_com ((-> tptp.com tptp.com tptp.com) (-> (-> tptp.com Bool) tptp.com)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1282449217_pname ((-> tptp.pname tptp.pname tptp.pname) (-> (-> tptp.pname Bool) tptp.pname)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1615457021_state ((-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state) (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) Bool)
% 0.66/1.04 (declare-fun tptp.finite697516351name_o ((-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool) (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite621643279tate_o ((-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool) (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.finite666746948em_com ((-> tptp.com tptp.com tptp.com) (-> (-> tptp.com Bool) tptp.com)) Bool)
% 0.66/1.04 (declare-fun tptp.finite89670078_pname ((-> tptp.pname tptp.pname tptp.pname) (-> (-> tptp.pname Bool) tptp.pname)) Bool)
% 0.66/1.04 (declare-fun tptp.finite1347568576_state ((-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state) (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) Bool)
% 0.66/1.04 (declare-fun tptp.fun_up1986763201_state ((-> tptp.pname tptp.hoare_1708887482_state) tptp.pname tptp.hoare_1708887482_state tptp.pname) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.fun_up879233478on_com ((-> tptp.pname tptp.option_com) tptp.pname tptp.option_com tptp.pname) tptp.option_com)
% 0.66/1.04 (declare-fun tptp.inj_on691924881name_o ((-> (-> tptp.pname Bool) tptp.pname Bool) (-> (-> tptp.pname Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.inj_on176908593tate_o ((-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.inj_on11367768on_com ((-> tptp.com tptp.option_com) (-> tptp.com Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.inj_on_pname_pname ((-> tptp.pname tptp.pname) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.inj_on1553129421_state ((-> tptp.pname tptp.hoare_1708887482_state) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.inj_on737724108_pname ((-> tptp.pname tptp.option_pname) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.inj_on1945914667_pname ((-> tptp.hoare_1708887482_state tptp.pname) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.inj_on632008595_state ((-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.inj_on945311362_state ((-> tptp.hoare_1708887482_state tptp.option1624383643_state) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.overri1496249029on_com ((-> tptp.pname tptp.option_com) (-> tptp.pname tptp.option_com) (-> tptp.pname Bool) tptp.pname) tptp.option_com)
% 0.66/1.04 (declare-fun tptp.minus_1480864103me_o_o ((-> (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.minus_548038231te_o_o ((-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.minus_minus_com_o ((-> tptp.com Bool) (-> tptp.com Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.minus_minus_pname_o ((-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.minus_2056855718tate_o ((-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.the_com_1 ((-> tptp.com Bool)) tptp.com)
% 0.66/1.04 (declare-fun tptp.the_pname ((-> tptp.pname Bool)) tptp.pname)
% 0.66/1.04 (declare-fun tptp.the_Ho851197897_state ((-> tptp.hoare_1708887482_state Bool)) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.hoare_Mirabelle_MGT (tptp.com) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.hoare_90032982_state ((-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.hoare_496444244_state ((-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.hoare_1160767572gleton () Bool)
% 0.66/1.04 (declare-fun tptp.hoare_858012674_state ((-> tptp.state tptp.state Bool) tptp.com (-> tptp.state tptp.state Bool)) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.if_Hoa1374726218_state (Bool tptp.hoare_1708887482_state tptp.hoare_1708887482_state) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.if_option_com (Bool tptp.option_com tptp.option_com) tptp.option_com)
% 0.66/1.04 (declare-fun tptp.semila2013987940me_o_o ((-> (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.semila598060698te_o_o ((-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.semila513601829_com_o ((-> tptp.com Bool) (-> tptp.com Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.semila1673364395name_o ((-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.semila129691299tate_o ((-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.semila854092349_inf_o (Bool Bool) Bool)
% 0.66/1.04 (declare-fun tptp.semila181081674me_o_o ((-> (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.semila1853742644te_o_o ((-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.semila1562558655_com_o ((-> tptp.com Bool) (-> tptp.com Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.semila1780557381name_o ((-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.semila1122118281tate_o ((-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.semila10642723_sup_o (Bool Bool) Bool)
% 0.66/1.04 (declare-fun tptp.dom_com_com ((-> tptp.com tptp.option_com) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.dom_pname_com ((-> tptp.pname tptp.option_com) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.dom_pname_pname ((-> tptp.pname tptp.option_pname) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.dom_pn1412407212_state ((-> tptp.pname tptp.option1624383643_state) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.dom_Ho1805192458_pname ((-> tptp.hoare_1708887482_state tptp.option_pname) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.dom_Ho1703271284_state ((-> tptp.hoare_1708887482_state tptp.option1624383643_state) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.restri1382200118me_com ((-> tptp.pname tptp.option_com) (-> tptp.pname Bool) tptp.pname) tptp.option_com)
% 0.66/1.04 (declare-fun tptp.evalc (tptp.com tptp.state tptp.state) Bool)
% 0.66/1.04 (declare-fun tptp.is_none_com (tptp.option_com) Bool)
% 0.66/1.04 (declare-fun tptp.is_none_pname (tptp.option_pname) Bool)
% 0.66/1.04 (declare-fun tptp.is_non163157940_state (tptp.option1624383643_state) Bool)
% 0.66/1.04 (declare-fun tptp.none_com () tptp.option_com)
% 0.66/1.04 (declare-fun tptp.none_pname () tptp.option_pname)
% 0.66/1.04 (declare-fun tptp.none_H1106584047_state () tptp.option1624383643_state)
% 0.66/1.04 (declare-fun tptp.some_com (tptp.com) tptp.option_com)
% 0.66/1.04 (declare-fun tptp.some_pname (tptp.pname) tptp.option_pname)
% 0.66/1.04 (declare-fun tptp.some_H1974565227_state (tptp.hoare_1708887482_state) tptp.option1624383643_state)
% 0.66/1.04 (declare-fun tptp.set_com (tptp.option_com tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.set_pname (tptp.option_pname tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.set_Ho525251890_state (tptp.option1624383643_state tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.the_com (tptp.option_com) tptp.com)
% 0.66/1.04 (declare-fun tptp.the_pname_1 (tptp.option_pname) tptp.pname)
% 0.66/1.04 (declare-fun tptp.the_Ho963921505_state (tptp.option1624383643_state) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.bot_bot_pname_o_o ((-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.bot_bo1678742418te_o_o ((-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.bot_bot_com_o (tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.bot_bot_pname_o (tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.bot_bo19817387tate_o (tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.bot_bot_o () Bool)
% 0.66/1.04 (declare-fun tptp.ord_le1205211808me_o_o ((-> (-> tptp.pname Bool) Bool) (-> (-> tptp.pname Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.ord_le1728773982te_o_o ((-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.ord_less_eq_com_o ((-> tptp.com Bool) (-> tptp.com Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.ord_less_eq_pname_o ((-> tptp.pname Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.ord_le777019615tate_o ((-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.ord_less_eq_o (Bool Bool) Bool)
% 0.66/1.04 (declare-fun tptp.top_top_com_o (tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.top_top_pname_o (tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.top_to832624271tate_o (tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.partial_flat_lub_com (tptp.com (-> tptp.com Bool)) tptp.com)
% 0.66/1.04 (declare-fun tptp.partia752020666_pname (tptp.pname (-> tptp.pname Bool)) tptp.pname)
% 0.66/1.04 (declare-fun tptp.partia1256728516_state (tptp.hoare_1708887482_state (-> tptp.hoare_1708887482_state Bool)) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.collect_pname_o_o ((-> (-> (-> tptp.pname Bool) Bool) Bool) (-> (-> tptp.pname Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.collec58007891te_o_o ((-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.collect_pname_o ((-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.collec219771562tate_o ((-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.collect_com ((-> tptp.com Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.collect_pname ((-> tptp.pname Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.collec1568722789_state ((-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.image_1085733413name_o ((-> (-> tptp.pname Bool) tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.image_pname_o_pname ((-> (-> tptp.pname Bool) tptp.pname) (-> (-> tptp.pname Bool) Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.image_1922967206_state ((-> (-> tptp.pname Bool) tptp.hoare_1708887482_state) (-> (-> tptp.pname Bool) Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.image_909543877tate_o ((-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.image_2051418740_pname ((-> (-> tptp.hoare_1708887482_state Bool) tptp.pname) (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.image_27005066_state ((-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state) (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.image_com_com ((-> tptp.com tptp.com) (-> tptp.com Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.image_com_pname ((-> tptp.com tptp.pname) (-> tptp.com Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.image_934102463_state ((-> tptp.com tptp.hoare_1708887482_state) (-> tptp.com Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.image_pname_pname_o ((-> tptp.pname tptp.pname Bool) (-> tptp.pname Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.image_425134806tate_o ((-> tptp.pname tptp.hoare_1708887482_state Bool) (-> tptp.pname Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.image_pname_com ((-> tptp.pname tptp.com) (-> tptp.pname Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.image_pname_pname ((-> tptp.pname tptp.pname) (-> tptp.pname Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.image_1116629049_state ((-> tptp.pname tptp.hoare_1708887482_state) (-> tptp.pname Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.image_1552895654name_o ((-> tptp.hoare_1708887482_state tptp.pname Bool) (-> tptp.hoare_1708887482_state Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.image_1551509096tate_o ((-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.image_1604448413te_com ((-> tptp.hoare_1708887482_state tptp.com) (-> tptp.hoare_1708887482_state Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.image_1509414295_pname ((-> tptp.hoare_1708887482_state tptp.pname) (-> tptp.hoare_1708887482_state Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.image_757158439_state ((-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.insert_pname_o ((-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.insert949073679tate_o ((-> tptp.hoare_1708887482_state Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.insert_o (Bool (-> Bool Bool) Bool) Bool)
% 0.66/1.04 (declare-fun tptp.insert_com (tptp.com (-> tptp.com Bool) tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.insert_pname (tptp.pname (-> tptp.pname Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.insert528405184_state (tptp.hoare_1708887482_state (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.the_elem_com ((-> tptp.com Bool)) tptp.com)
% 0.66/1.04 (declare-fun tptp.the_elem_pname ((-> tptp.pname Bool)) tptp.pname)
% 0.66/1.04 (declare-fun tptp.the_el864710747_state ((-> tptp.hoare_1708887482_state Bool)) tptp.hoare_1708887482_state)
% 0.66/1.04 (declare-fun tptp.vimage1943311875_state ((-> tptp.pname tptp.hoare_1708887482_state) (-> tptp.hoare_1708887482_state Bool) tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.fequal_pname_o ((-> tptp.pname Bool) (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.fequal1436017556tate_o ((-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.fequal_com (tptp.com tptp.com) Bool)
% 0.66/1.04 (declare-fun tptp.fequal_pname (tptp.pname tptp.pname) Bool)
% 0.66/1.04 (declare-fun tptp.fequal_state (tptp.state tptp.state) Bool)
% 0.66/1.04 (declare-fun tptp.fequal224822779_state (tptp.hoare_1708887482_state tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.member_pname_o ((-> tptp.pname Bool) (-> (-> tptp.pname Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.member814030440tate_o ((-> tptp.hoare_1708887482_state Bool) (-> (-> tptp.hoare_1708887482_state Bool) Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.member_o (Bool (-> Bool Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.member_com (tptp.com (-> tptp.com Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.member_pname (tptp.pname (-> tptp.pname Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.member451959335_state (tptp.hoare_1708887482_state (-> tptp.hoare_1708887482_state Bool)) Bool)
% 0.66/1.04 (declare-fun tptp.fa (tptp.hoare_1708887482_state) Bool)
% 0.66/1.04 (declare-fun tptp.pn () tptp.pname)
% 0.66/1.04 (declare-fun tptp.y () tptp.com)
% 0.66/1.04 (assert (forall ((G_7 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.hoare_90032982_state G_7) tptp.bot_bo19817387tate_o)))
% 0.66/1.04 (assert (forall ((Ts_7 (-> tptp.hoare_1708887482_state Bool)) (G_39 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Ts_7) G_39) (@ (@ tptp.hoare_90032982_state G_39) Ts_7))))
% 0.66/1.04 (assert (forall ((Ts_6 (-> tptp.hoare_1708887482_state Bool)) (G_38 (-> tptp.hoare_1708887482_state Bool)) (Ts_5 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_38))) (=> (@ _let_1 Ts_5) (=> (@ (@ tptp.ord_le777019615tate_o Ts_6) Ts_5) (@ _let_1 Ts_6))))))
% 0.66/1.04 (assert (forall ((G_37 (-> tptp.hoare_1708887482_state Bool)) (G_36 (-> tptp.hoare_1708887482_state Bool)) (Ts_4 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.hoare_90032982_state G_36) Ts_4) (=> (@ (@ tptp.ord_le777019615tate_o G_36) G_37) (@ (@ tptp.hoare_90032982_state G_37) Ts_4)))))
% 0.66/1.04 (assert (forall ((G_35 (-> tptp.hoare_1708887482_state Bool)) (G_34 (-> tptp.hoare_1708887482_state Bool)) (Ts_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_35))) (=> (@ (@ tptp.hoare_90032982_state G_34) Ts_3) (=> (@ _let_1 G_34) (@ _let_1 Ts_3))))))
% 0.66/1.04 (assert (forall ((Ts_2 (-> tptp.hoare_1708887482_state Bool)) (G_33 (-> tptp.hoare_1708887482_state Bool)) (T_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.insert528405184_state T_3))) (let ((_let_2 (@ tptp.hoare_90032982_state G_33))) (=> (@ _let_2 (@ _let_1 tptp.bot_bo19817387tate_o)) (=> (@ _let_2 Ts_2) (@ _let_2 (@ _let_1 Ts_2))))))))
% 0.66/1.04 (assert (forall ((G_32 (-> tptp.hoare_1708887482_state Bool)) (T_2 tptp.hoare_1708887482_state) (Ts_1 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_32))) (let ((_let_2 (@ tptp.insert528405184_state T_2))) (=> (@ _let_1 (@ _let_2 Ts_1)) (and (@ _let_1 (@ _let_2 tptp.bot_bo19817387tate_o)) (@ _let_1 Ts_1)))))))
% 0.66/1.04 (assert (forall ((Pn_1 tptp.pname) (G_7 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn_1))))) (=> (@ (@ tptp.hoare_90032982_state (@ _let_1 G_7)) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT (@ tptp.the_com (@ tptp.body Pn_1)))) tptp.bot_bo19817387tate_o)) (@ (@ tptp.hoare_90032982_state G_7) (@ _let_1 tptp.bot_bo19817387tate_o))))))
% 0.66/1.04 (assert (forall ((A_274 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_274) (@ tptp.finite1066544169me_o_o (@ tptp.collect_pname_o_o (lambda ((B_84 (-> (-> tptp.pname Bool) Bool))) (@ (@ tptp.ord_le1205211808me_o_o B_84) A_274)))))))
% 0.66/1.04 (assert (forall ((A_274 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_274) (@ tptp.finite1019950101te_o_o (@ tptp.collec58007891te_o_o (lambda ((B_84 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (@ (@ tptp.ord_le1728773982te_o_o B_84) A_274)))))))
% 0.66/1.04 (assert (forall ((A_274 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_274) (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o (lambda ((B_84 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o B_84) A_274)))))))
% 0.66/1.04 (assert (forall ((A_274 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_274) (@ tptp.finite297249702name_o (@ tptp.collect_pname_o (lambda ((B_84 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o B_84) A_274)))))))
% 0.66/1.04 (assert (forall ((H_2 (-> tptp.hoare_1708887482_state tptp.pname Bool)) (F_88 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_88) (@ tptp.finite297249702name_o (@ (@ tptp.image_1552895654name_o H_2) F_88)))))
% 0.66/1.04 (assert (forall ((H_2 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)) (F_88 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_88) (@ tptp.finite1329924456tate_o (@ (@ tptp.image_1551509096tate_o H_2) F_88)))))
% 0.66/1.04 (assert (forall ((H_2 (-> tptp.pname tptp.pname Bool)) (F_88 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_88) (@ tptp.finite297249702name_o (@ (@ tptp.image_pname_pname_o H_2) F_88)))))
% 0.66/1.04 (assert (forall ((H_2 (-> tptp.pname tptp.hoare_1708887482_state Bool)) (F_88 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_88) (@ tptp.finite1329924456tate_o (@ (@ tptp.image_425134806tate_o H_2) F_88)))))
% 0.66/1.04 (assert (forall ((H_2 (-> (-> tptp.pname Bool) tptp.hoare_1708887482_state)) (F_88 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_88) (@ tptp.finite1625599783_state (@ (@ tptp.image_1922967206_state H_2) F_88)))))
% 0.66/1.04 (assert (forall ((H_2 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) (F_88 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_88) (@ tptp.finite1625599783_state (@ (@ tptp.image_27005066_state H_2) F_88)))))
% 0.66/1.04 (assert (forall ((H_2 (-> (-> tptp.pname Bool) tptp.pname)) (F_88 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_88) (@ tptp.finite_finite_pname (@ (@ tptp.image_pname_o_pname H_2) F_88)))))
% 0.66/1.04 (assert (forall ((H_2 (-> (-> tptp.hoare_1708887482_state Bool) tptp.pname)) (F_88 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_88) (@ tptp.finite_finite_pname (@ (@ tptp.image_2051418740_pname H_2) F_88)))))
% 0.66/1.04 (assert (forall ((H_2 (-> tptp.pname tptp.hoare_1708887482_state)) (F_88 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_88) (@ tptp.finite1625599783_state (@ (@ tptp.image_1116629049_state H_2) F_88)))))
% 0.66/1.04 (assert (forall ((A_273 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o tptp.bot_bot_pname_o) A_273)))
% 0.66/1.04 (assert (forall ((A_273 (-> tptp.com Bool))) (@ (@ tptp.ord_less_eq_com_o tptp.bot_bot_com_o) A_273)))
% 0.66/1.04 (assert (forall ((A_273 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o tptp.bot_bo19817387tate_o) A_273)))
% 0.66/1.04 (assert (forall ((A_272 tptp.com) (A_271 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_271) (@ tptp.finite_finite_com (@ (@ tptp.insert_com A_272) A_271)))))
% 0.66/1.04 (assert (forall ((A_272 (-> tptp.pname Bool)) (A_271 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_271) (@ tptp.finite297249702name_o (@ (@ tptp.insert_pname_o A_272) A_271)))))
% 0.66/1.04 (assert (forall ((A_272 (-> tptp.hoare_1708887482_state Bool)) (A_271 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_271) (@ tptp.finite1329924456tate_o (@ (@ tptp.insert949073679tate_o A_272) A_271)))))
% 0.66/1.04 (assert (forall ((A_272 tptp.pname) (A_271 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_271) (@ tptp.finite_finite_pname (@ (@ tptp.insert_pname A_272) A_271)))))
% 0.66/1.05 (assert (forall ((A_272 tptp.hoare_1708887482_state) (A_271 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_271) (@ tptp.finite1625599783_state (@ (@ tptp.insert528405184_state A_272) A_271)))))
% 0.66/1.05 (assert (@ tptp.finite297249702name_o tptp.bot_bot_pname_o_o))
% 0.66/1.05 (assert (@ tptp.finite1329924456tate_o tptp.bot_bo1678742418te_o_o))
% 0.66/1.05 (assert (@ tptp.finite_finite_com tptp.bot_bot_com_o))
% 0.66/1.05 (assert (@ tptp.finite1625599783_state tptp.bot_bo19817387tate_o))
% 0.66/1.05 (assert (@ tptp.finite_finite_pname tptp.bot_bot_pname_o))
% 0.66/1.05 (assert (forall ((Q_26 (-> (-> tptp.pname Bool) Bool)) (P_45 (-> (-> tptp.pname Bool) Bool))) (=> (or (@ tptp.finite297249702name_o (@ tptp.collect_pname_o P_45)) (@ tptp.finite297249702name_o (@ tptp.collect_pname_o Q_26))) (@ tptp.finite297249702name_o (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (@ P_45 X_3) (@ Q_26 X_3))))))))
% 0.66/1.05 (assert (forall ((Q_26 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (P_45 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (or (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o P_45)) (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o Q_26))) (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (@ P_45 X_3) (@ Q_26 X_3))))))))
% 0.66/1.05 (assert (forall ((Q_26 (-> tptp.hoare_1708887482_state Bool)) (P_45 (-> tptp.hoare_1708887482_state Bool))) (=> (or (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state P_45)) (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state Q_26))) (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (@ P_45 X_3) (@ Q_26 X_3))))))))
% 0.66/1.05 (assert (forall ((Q_26 (-> tptp.pname Bool)) (P_45 (-> tptp.pname Bool))) (=> (or (@ tptp.finite_finite_pname (@ tptp.collect_pname P_45)) (@ tptp.finite_finite_pname (@ tptp.collect_pname Q_26))) (@ tptp.finite_finite_pname (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (@ P_45 X_3) (@ Q_26 X_3))))))))
% 0.66/1.05 (assert (forall ((C_68 tptp.pname) (A_270 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (= A_270 tptp.bot_bo19817387tate_o))) (and (=> _let_1 (= (@ (@ tptp.image_1509414295_pname (lambda ((X_3 tptp.hoare_1708887482_state)) C_68)) A_270) tptp.bot_bot_pname_o)) (=> (not _let_1) (= (@ (@ tptp.image_1509414295_pname (lambda ((X_3 tptp.hoare_1708887482_state)) C_68)) A_270) (@ (@ tptp.insert_pname C_68) tptp.bot_bot_pname_o)))))))
% 0.66/1.05 (assert (forall ((C_68 tptp.com) (A_270 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (= A_270 tptp.bot_bo19817387tate_o))) (and (=> _let_1 (= (@ (@ tptp.image_1604448413te_com (lambda ((X_3 tptp.hoare_1708887482_state)) C_68)) A_270) tptp.bot_bot_com_o)) (=> (not _let_1) (= (@ (@ tptp.image_1604448413te_com (lambda ((X_3 tptp.hoare_1708887482_state)) C_68)) A_270) (@ (@ tptp.insert_com C_68) tptp.bot_bot_com_o)))))))
% 0.66/1.05 (assert (forall ((C_68 tptp.hoare_1708887482_state) (A_270 (-> tptp.com Bool))) (let ((_let_1 (= A_270 tptp.bot_bot_com_o))) (and (=> _let_1 (= (@ (@ tptp.image_934102463_state (lambda ((X_3 tptp.com)) C_68)) A_270) tptp.bot_bo19817387tate_o)) (=> (not _let_1) (= (@ (@ tptp.image_934102463_state (lambda ((X_3 tptp.com)) C_68)) A_270) (@ (@ tptp.insert528405184_state C_68) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((C_68 tptp.hoare_1708887482_state) (A_270 (-> tptp.pname Bool))) (let ((_let_1 (= A_270 tptp.bot_bot_pname_o))) (and (=> _let_1 (= (@ (@ tptp.image_1116629049_state (lambda ((X_3 tptp.pname)) C_68)) A_270) tptp.bot_bo19817387tate_o)) (=> (not _let_1) (= (@ (@ tptp.image_1116629049_state (lambda ((X_3 tptp.pname)) C_68)) A_270) (@ (@ tptp.insert528405184_state C_68) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((C_67 tptp.pname) (X_119 tptp.hoare_1708887482_state) (A_269 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_119) A_269) (= (@ (@ tptp.image_1509414295_pname (lambda ((X_3 tptp.hoare_1708887482_state)) C_67)) A_269) (@ (@ tptp.insert_pname C_67) tptp.bot_bot_pname_o)))))
% 0.66/1.05 (assert (forall ((C_67 tptp.com) (X_119 tptp.hoare_1708887482_state) (A_269 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_119) A_269) (= (@ (@ tptp.image_1604448413te_com (lambda ((X_3 tptp.hoare_1708887482_state)) C_67)) A_269) (@ (@ tptp.insert_com C_67) tptp.bot_bot_com_o)))))
% 0.66/1.05 (assert (forall ((C_67 tptp.pname) (X_119 tptp.pname) (A_269 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_119) A_269) (= (@ (@ tptp.image_pname_pname (lambda ((X_3 tptp.pname)) C_67)) A_269) (@ (@ tptp.insert_pname C_67) tptp.bot_bot_pname_o)))))
% 0.66/1.05 (assert (forall ((C_67 tptp.com) (X_119 tptp.pname) (A_269 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_119) A_269) (= (@ (@ tptp.image_pname_com (lambda ((X_3 tptp.pname)) C_67)) A_269) (@ (@ tptp.insert_com C_67) tptp.bot_bot_com_o)))))
% 0.66/1.05 (assert (forall ((C_67 tptp.hoare_1708887482_state) (X_119 tptp.com) (A_269 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_119) A_269) (= (@ (@ tptp.image_934102463_state (lambda ((X_3 tptp.com)) C_67)) A_269) (@ (@ tptp.insert528405184_state C_67) tptp.bot_bo19817387tate_o)))))
% 0.66/1.05 (assert (forall ((C_67 tptp.hoare_1708887482_state) (X_119 tptp.pname) (A_269 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_119) A_269) (= (@ (@ tptp.image_1116629049_state (lambda ((X_3 tptp.pname)) C_67)) A_269) (@ (@ tptp.insert528405184_state C_67) tptp.bot_bo19817387tate_o)))))
% 0.66/1.05 (assert (forall ((F_87 (-> tptp.com tptp.option_com)) (X_118 tptp.com) (Y_53 tptp.com)) (let ((_let_1 (@ tptp.dom_com_com F_87))) (=> (= (@ F_87 X_118) (@ tptp.some_com Y_53)) (= (@ (@ tptp.insert_com X_118) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_87 (-> tptp.hoare_1708887482_state tptp.option_pname)) (X_118 tptp.hoare_1708887482_state) (Y_53 tptp.pname)) (let ((_let_1 (@ tptp.dom_Ho1805192458_pname F_87))) (=> (= (@ F_87 X_118) (@ tptp.some_pname Y_53)) (= (@ (@ tptp.insert528405184_state X_118) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_87 (-> tptp.hoare_1708887482_state tptp.option1624383643_state)) (X_118 tptp.hoare_1708887482_state) (Y_53 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.dom_Ho1703271284_state F_87))) (=> (= (@ F_87 X_118) (@ tptp.some_H1974565227_state Y_53)) (= (@ (@ tptp.insert528405184_state X_118) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_87 (-> tptp.pname tptp.option_com)) (X_118 tptp.pname) (Y_53 tptp.com)) (let ((_let_1 (@ tptp.dom_pname_com F_87))) (=> (= (@ F_87 X_118) (@ tptp.some_com Y_53)) (= (@ (@ tptp.insert_pname X_118) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((B_171 (-> (-> tptp.pname Bool) Bool)) (F_86 (-> tptp.hoare_1708887482_state tptp.pname Bool)) (A_268 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_268) (=> (@ (@ tptp.ord_le1205211808me_o_o B_171) (@ (@ tptp.image_1552895654name_o F_86) A_268)) (@ tptp.finite297249702name_o B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_86 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)) (A_268 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_268) (=> (@ (@ tptp.ord_le1728773982te_o_o B_171) (@ (@ tptp.image_1551509096tate_o F_86) A_268)) (@ tptp.finite1329924456tate_o B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> tptp.pname Bool)) (F_86 (-> tptp.hoare_1708887482_state tptp.pname)) (A_268 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_268) (=> (@ (@ tptp.ord_less_eq_pname_o B_171) (@ (@ tptp.image_1509414295_pname F_86) A_268)) (@ tptp.finite_finite_pname B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> (-> tptp.pname Bool) Bool)) (F_86 (-> tptp.pname tptp.pname Bool)) (A_268 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_268) (=> (@ (@ tptp.ord_le1205211808me_o_o B_171) (@ (@ tptp.image_pname_pname_o F_86) A_268)) (@ tptp.finite297249702name_o B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_86 (-> tptp.pname tptp.hoare_1708887482_state Bool)) (A_268 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_268) (=> (@ (@ tptp.ord_le1728773982te_o_o B_171) (@ (@ tptp.image_425134806tate_o F_86) A_268)) (@ tptp.finite1329924456tate_o B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> tptp.pname Bool)) (F_86 (-> tptp.pname tptp.pname)) (A_268 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_268) (=> (@ (@ tptp.ord_less_eq_pname_o B_171) (@ (@ tptp.image_pname_pname F_86) A_268)) (@ tptp.finite_finite_pname B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> tptp.hoare_1708887482_state Bool)) (F_86 (-> (-> tptp.pname Bool) tptp.hoare_1708887482_state)) (A_268 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_268) (=> (@ (@ tptp.ord_le777019615tate_o B_171) (@ (@ tptp.image_1922967206_state F_86) A_268)) (@ tptp.finite1625599783_state B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> tptp.hoare_1708887482_state Bool)) (F_86 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) (A_268 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_268) (=> (@ (@ tptp.ord_le777019615tate_o B_171) (@ (@ tptp.image_27005066_state F_86) A_268)) (@ tptp.finite1625599783_state B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> tptp.pname Bool)) (F_86 (-> (-> tptp.pname Bool) tptp.pname)) (A_268 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_268) (=> (@ (@ tptp.ord_less_eq_pname_o B_171) (@ (@ tptp.image_pname_o_pname F_86) A_268)) (@ tptp.finite_finite_pname B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> tptp.pname Bool)) (F_86 (-> (-> tptp.hoare_1708887482_state Bool) tptp.pname)) (A_268 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_268) (=> (@ (@ tptp.ord_less_eq_pname_o B_171) (@ (@ tptp.image_2051418740_pname F_86) A_268)) (@ tptp.finite_finite_pname B_171)))))
% 0.66/1.05 (assert (forall ((B_171 (-> tptp.hoare_1708887482_state Bool)) (F_86 (-> tptp.pname tptp.hoare_1708887482_state)) (A_268 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_268) (=> (@ (@ tptp.ord_le777019615tate_o B_171) (@ (@ tptp.image_1116629049_state F_86) A_268)) (@ tptp.finite1625599783_state B_171)))))
% 0.66/1.05 (assert (forall ((A_267 (-> tptp.pname Bool)) (X_117 tptp.pname)) (let ((_let_1 (@ (@ tptp.insert_pname X_117) tptp.bot_bot_pname_o))) (=> (@ (@ tptp.ord_less_eq_pname_o A_267) _let_1) (or (= A_267 tptp.bot_bot_pname_o) (= A_267 _let_1))))))
% 0.66/1.05 (assert (forall ((A_267 (-> tptp.com Bool)) (X_117 tptp.com)) (let ((_let_1 (@ (@ tptp.insert_com X_117) tptp.bot_bot_com_o))) (=> (@ (@ tptp.ord_less_eq_com_o A_267) _let_1) (or (= A_267 tptp.bot_bot_com_o) (= A_267 _let_1))))))
% 0.66/1.05 (assert (forall ((A_267 (-> tptp.hoare_1708887482_state Bool)) (X_117 tptp.hoare_1708887482_state)) (let ((_let_1 (@ (@ tptp.insert528405184_state X_117) tptp.bot_bo19817387tate_o))) (=> (@ (@ tptp.ord_le777019615tate_o A_267) _let_1) (or (= A_267 tptp.bot_bo19817387tate_o) (= A_267 _let_1))))))
% 0.66/1.05 (assert (forall ((C_34 tptp.com)) (=> tptp.hoare_1160767572gleton (=> tptp.wT_bodies (=> (@ tptp.wt C_34) (@ (@ tptp.hoare_90032982_state tptp.bot_bo19817387tate_o) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((A_266 tptp.com)) (not (@ (@ tptp.member_com A_266) tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_266 tptp.hoare_1708887482_state)) (not (@ (@ tptp.member451959335_state A_266) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((A_266 tptp.pname)) (not (@ (@ tptp.member_pname A_266) tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((B_170 tptp.com) (A_265 tptp.com) (B_169 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com A_265))) (=> (=> (not (@ _let_1 B_169)) (= A_265 B_170)) (@ _let_1 (@ (@ tptp.insert_com B_170) B_169))))))
% 0.66/1.05 (assert (forall ((B_170 tptp.pname) (A_265 tptp.pname) (B_169 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname A_265))) (=> (=> (not (@ _let_1 B_169)) (= A_265 B_170)) (@ _let_1 (@ (@ tptp.insert_pname B_170) B_169))))))
% 0.66/1.05 (assert (forall ((B_170 tptp.hoare_1708887482_state) (A_265 tptp.hoare_1708887482_state) (B_169 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state A_265))) (=> (=> (not (@ _let_1 B_169)) (= A_265 B_170)) (@ _let_1 (@ (@ tptp.insert528405184_state B_170) B_169))))))
% 0.66/1.05 (assert (forall ((A_264 tptp.com) (B_168 tptp.com) (A_263 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com A_264))) (=> (@ _let_1 (@ (@ tptp.insert_com B_168) A_263)) (=> (not (= A_264 B_168)) (@ _let_1 A_263))))))
% 0.66/1.05 (assert (forall ((A_264 tptp.pname) (B_168 tptp.pname) (A_263 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname A_264))) (=> (@ _let_1 (@ (@ tptp.insert_pname B_168) A_263)) (=> (not (= A_264 B_168)) (@ _let_1 A_263))))))
% 0.66/1.05 (assert (forall ((A_264 tptp.hoare_1708887482_state) (B_168 tptp.hoare_1708887482_state) (A_263 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state A_264))) (=> (@ _let_1 (@ (@ tptp.insert528405184_state B_168) A_263)) (=> (not (= A_264 B_168)) (@ _let_1 A_263))))))
% 0.66/1.05 (assert (forall ((A_262 (-> tptp.pname Bool)) (B_167 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_262) B_167) (=> (@ (@ tptp.ord_less_eq_pname_o B_167) A_262) (= A_262 B_167)))))
% 0.66/1.05 (assert (forall ((A_262 (-> tptp.hoare_1708887482_state Bool)) (B_167 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_262) B_167) (=> (@ (@ tptp.ord_le777019615tate_o B_167) A_262) (= A_262 B_167)))))
% 0.66/1.05 (assert (forall ((C_66 tptp.com) (A_261 (-> tptp.com Bool)) (B_166 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_66))) (=> (@ (@ tptp.ord_less_eq_com_o A_261) B_166) (=> (@ _let_1 A_261) (@ _let_1 B_166))))))
% 0.66/1.05 (assert (forall ((C_66 tptp.hoare_1708887482_state) (A_261 (-> tptp.hoare_1708887482_state Bool)) (B_166 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_66))) (=> (@ (@ tptp.ord_le777019615tate_o A_261) B_166) (=> (@ _let_1 A_261) (@ _let_1 B_166))))))
% 0.66/1.05 (assert (forall ((C_66 tptp.pname) (A_261 (-> tptp.pname Bool)) (B_166 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_66))) (=> (@ (@ tptp.ord_less_eq_pname_o A_261) B_166) (=> (@ _let_1 A_261) (@ _let_1 B_166))))))
% 0.66/1.05 (assert (forall ((A_260 (-> tptp.hoare_1708887482_state Bool)) (B_165 tptp.com) (F_85 (-> tptp.hoare_1708887482_state tptp.com)) (X_116 tptp.hoare_1708887482_state)) (=> (= B_165 (@ F_85 X_116)) (=> (@ (@ tptp.member451959335_state X_116) A_260) (@ (@ tptp.member_com B_165) (@ (@ tptp.image_1604448413te_com F_85) A_260))))))
% 0.66/1.05 (assert (forall ((A_260 (-> tptp.pname Bool)) (B_165 tptp.com) (F_85 (-> tptp.pname tptp.com)) (X_116 tptp.pname)) (=> (= B_165 (@ F_85 X_116)) (=> (@ (@ tptp.member_pname X_116) A_260) (@ (@ tptp.member_com B_165) (@ (@ tptp.image_pname_com F_85) A_260))))))
% 0.66/1.05 (assert (forall ((A_260 (-> tptp.com Bool)) (B_165 tptp.hoare_1708887482_state) (F_85 (-> tptp.com tptp.hoare_1708887482_state)) (X_116 tptp.com)) (=> (= B_165 (@ F_85 X_116)) (=> (@ (@ tptp.member_com X_116) A_260) (@ (@ tptp.member451959335_state B_165) (@ (@ tptp.image_934102463_state F_85) A_260))))))
% 0.66/1.05 (assert (forall ((A_260 (-> tptp.com Bool)) (B_165 tptp.pname) (F_85 (-> tptp.com tptp.pname)) (X_116 tptp.com)) (=> (= B_165 (@ F_85 X_116)) (=> (@ (@ tptp.member_com X_116) A_260) (@ (@ tptp.member_pname B_165) (@ (@ tptp.image_com_pname F_85) A_260))))))
% 0.66/1.05 (assert (forall ((A_260 (-> tptp.pname Bool)) (B_165 tptp.hoare_1708887482_state) (F_85 (-> tptp.pname tptp.hoare_1708887482_state)) (X_116 tptp.pname)) (=> (= B_165 (@ F_85 X_116)) (=> (@ (@ tptp.member_pname X_116) A_260) (@ (@ tptp.member451959335_state B_165) (@ (@ tptp.image_1116629049_state F_85) A_260))))))
% 0.66/1.05 (assert (forall ((A_259 tptp.com) (A_258 (-> tptp.com Bool))) (=> (= A_258 tptp.bot_bot_com_o) (not (@ (@ tptp.member_com A_259) A_258)))))
% 0.66/1.05 (assert (forall ((A_259 tptp.hoare_1708887482_state) (A_258 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_258 tptp.bot_bo19817387tate_o) (not (@ (@ tptp.member451959335_state A_259) A_258)))))
% 0.66/1.05 (assert (forall ((A_259 tptp.pname) (A_258 (-> tptp.pname Bool))) (=> (= A_258 tptp.bot_bot_pname_o) (not (@ (@ tptp.member_pname A_259) A_258)))))
% 0.66/1.05 (assert (forall ((P_44 (-> tptp.pname Bool))) (= (= (@ tptp.collect_pname P_44) tptp.bot_bot_pname_o) (forall ((X_3 tptp.pname)) (not (@ P_44 X_3))))))
% 0.66/1.05 (assert (forall ((P_44 (-> (-> tptp.pname Bool) Bool))) (= (= (@ tptp.collect_pname_o P_44) tptp.bot_bot_pname_o_o) (forall ((X_3 (-> tptp.pname Bool))) (not (@ P_44 X_3))))))
% 0.66/1.05 (assert (forall ((P_44 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (= (@ tptp.collec219771562tate_o P_44) tptp.bot_bo1678742418te_o_o) (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (not (@ P_44 X_3))))))
% 0.66/1.05 (assert (forall ((P_44 (-> tptp.com Bool))) (= (= (@ tptp.collect_com P_44) tptp.bot_bot_com_o) (forall ((X_3 tptp.com)) (not (@ P_44 X_3))))))
% 0.66/1.05 (assert (forall ((P_44 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ tptp.collec1568722789_state P_44) tptp.bot_bo19817387tate_o) (forall ((X_3 tptp.hoare_1708887482_state)) (not (@ P_44 X_3))))))
% 0.66/1.05 (assert (forall ((C_65 tptp.com)) (not (@ (@ tptp.member_com C_65) tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((C_65 tptp.hoare_1708887482_state)) (not (@ (@ tptp.member451959335_state C_65) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((C_65 tptp.pname)) (not (@ (@ tptp.member_pname C_65) tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((P_43 (-> tptp.pname Bool))) (= (= tptp.bot_bot_pname_o (@ tptp.collect_pname P_43)) (forall ((X_3 tptp.pname)) (not (@ P_43 X_3))))))
% 0.66/1.05 (assert (forall ((P_43 (-> (-> tptp.pname Bool) Bool))) (= (= tptp.bot_bot_pname_o_o (@ tptp.collect_pname_o P_43)) (forall ((X_3 (-> tptp.pname Bool))) (not (@ P_43 X_3))))))
% 0.66/1.05 (assert (forall ((P_43 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (= tptp.bot_bo1678742418te_o_o (@ tptp.collec219771562tate_o P_43)) (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (not (@ P_43 X_3))))))
% 0.66/1.05 (assert (forall ((P_43 (-> tptp.com Bool))) (= (= tptp.bot_bot_com_o (@ tptp.collect_com P_43)) (forall ((X_3 tptp.com)) (not (@ P_43 X_3))))))
% 0.66/1.05 (assert (forall ((P_43 (-> tptp.hoare_1708887482_state Bool))) (= (= tptp.bot_bo19817387tate_o (@ tptp.collec1568722789_state P_43)) (forall ((X_3 tptp.hoare_1708887482_state)) (not (@ P_43 X_3))))))
% 0.66/1.05 (assert (forall ((A_257 (-> tptp.com Bool))) (= (exists ((X_3 tptp.com)) (@ (@ tptp.member_com X_3) A_257)) (not (= A_257 tptp.bot_bot_com_o)))))
% 0.66/1.05 (assert (forall ((A_257 (-> tptp.hoare_1708887482_state Bool))) (= (exists ((X_3 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state X_3) A_257)) (not (= A_257 tptp.bot_bo19817387tate_o)))))
% 0.66/1.05 (assert (forall ((A_257 (-> tptp.pname Bool))) (= (exists ((X_3 tptp.pname)) (@ (@ tptp.member_pname X_3) A_257)) (not (= A_257 tptp.bot_bot_pname_o)))))
% 0.66/1.05 (assert (forall ((A_256 (-> tptp.com Bool))) (= (forall ((X_3 tptp.com)) (not (@ (@ tptp.member_com X_3) A_256))) (= A_256 tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_256 (-> tptp.hoare_1708887482_state Bool))) (= (forall ((X_3 tptp.hoare_1708887482_state)) (not (@ (@ tptp.member451959335_state X_3) A_256))) (= A_256 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((A_256 (-> tptp.pname Bool))) (= (forall ((X_3 tptp.pname)) (not (@ (@ tptp.member_pname X_3) A_256))) (= A_256 tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (= tptp.bot_bot_pname_o (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) false))))
% 0.66/1.05 (assert (= tptp.bot_bot_pname_o_o (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) false))))
% 0.66/1.05 (assert (= tptp.bot_bo1678742418te_o_o (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) false))))
% 0.66/1.05 (assert (= tptp.bot_bot_com_o (@ tptp.collect_com (lambda ((X_3 tptp.com)) false))))
% 0.66/1.05 (assert (= tptp.bot_bo19817387tate_o (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) false))))
% 0.66/1.05 (assert (forall ((A_255 tptp.com) (A_254 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com A_255) A_254) (= (@ (@ tptp.insert_com A_255) A_254) A_254))))
% 0.66/1.05 (assert (forall ((A_255 tptp.pname) (A_254 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname A_255) A_254) (= (@ (@ tptp.insert_pname A_255) A_254) A_254))))
% 0.66/1.05 (assert (forall ((A_255 tptp.hoare_1708887482_state) (A_254 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state A_255) A_254) (= (@ (@ tptp.insert528405184_state A_255) A_254) A_254))))
% 0.66/1.05 (assert (forall ((B_164 tptp.com) (A_253 tptp.com) (B_163 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com A_253))) (=> (@ _let_1 B_163) (@ _let_1 (@ (@ tptp.insert_com B_164) B_163))))))
% 0.66/1.05 (assert (forall ((B_164 tptp.pname) (A_253 tptp.pname) (B_163 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname A_253))) (=> (@ _let_1 B_163) (@ _let_1 (@ (@ tptp.insert_pname B_164) B_163))))))
% 0.66/1.05 (assert (forall ((B_164 tptp.hoare_1708887482_state) (A_253 tptp.hoare_1708887482_state) (B_163 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state A_253))) (=> (@ _let_1 B_163) (@ _let_1 (@ (@ tptp.insert528405184_state B_164) B_163))))))
% 0.66/1.05 (assert (forall ((B_162 (-> tptp.com Bool)) (X_115 tptp.com) (A_252 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com X_115))) (let ((_let_2 (@ tptp.member_com X_115))) (=> (not (@ _let_2 A_252)) (=> (not (@ _let_2 B_162)) (= (= (@ _let_1 A_252) (@ _let_1 B_162)) (= A_252 B_162))))))))
% 0.66/1.05 (assert (forall ((B_162 (-> tptp.pname Bool)) (X_115 tptp.pname) (A_252 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname X_115))) (let ((_let_2 (@ tptp.member_pname X_115))) (=> (not (@ _let_2 A_252)) (=> (not (@ _let_2 B_162)) (= (= (@ _let_1 A_252) (@ _let_1 B_162)) (= A_252 B_162))))))))
% 0.66/1.05 (assert (forall ((B_162 (-> tptp.hoare_1708887482_state Bool)) (X_115 tptp.hoare_1708887482_state) (A_252 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state X_115))) (let ((_let_2 (@ tptp.member451959335_state X_115))) (=> (not (@ _let_2 A_252)) (=> (not (@ _let_2 B_162)) (= (= (@ _let_1 A_252) (@ _let_1 B_162)) (= A_252 B_162))))))))
% 0.66/1.05 (assert (forall ((Y_52 tptp.pname) (A_251 (-> tptp.pname Bool)) (X_114 tptp.pname)) (= (@ (@ (@ tptp.insert_pname Y_52) A_251) X_114) (or (= Y_52 X_114) (@ A_251 X_114)))))
% 0.66/1.05 (assert (forall ((Y_52 tptp.com) (A_251 (-> tptp.com Bool)) (X_114 tptp.com)) (= (@ (@ (@ tptp.insert_com Y_52) A_251) X_114) (or (= Y_52 X_114) (@ A_251 X_114)))))
% 0.66/1.05 (assert (forall ((Y_52 tptp.hoare_1708887482_state) (A_251 (-> tptp.hoare_1708887482_state Bool)) (X_114 tptp.hoare_1708887482_state)) (= (@ (@ (@ tptp.insert528405184_state Y_52) A_251) X_114) (or (= Y_52 X_114) (@ A_251 X_114)))))
% 0.66/1.05 (assert (forall ((A_250 tptp.com) (B_161 tptp.com) (A_249 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com A_250))) (= (@ _let_1 (@ (@ tptp.insert_com B_161) A_249)) (or (= A_250 B_161) (@ _let_1 A_249))))))
% 0.66/1.05 (assert (forall ((A_250 tptp.pname) (B_161 tptp.pname) (A_249 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname A_250))) (= (@ _let_1 (@ (@ tptp.insert_pname B_161) A_249)) (or (= A_250 B_161) (@ _let_1 A_249))))))
% 0.66/1.05 (assert (forall ((A_250 tptp.hoare_1708887482_state) (B_161 tptp.hoare_1708887482_state) (A_249 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state A_250))) (= (@ _let_1 (@ (@ tptp.insert528405184_state B_161) A_249)) (or (= A_250 B_161) (@ _let_1 A_249))))))
% 0.66/1.05 (assert (forall ((X_113 tptp.pname) (Y_51 tptp.pname) (A_248 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname X_113))) (let ((_let_2 (@ tptp.insert_pname Y_51))) (= (@ _let_1 (@ _let_2 A_248)) (@ _let_2 (@ _let_1 A_248)))))))
% 0.66/1.05 (assert (forall ((X_113 tptp.com) (Y_51 tptp.com) (A_248 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com X_113))) (let ((_let_2 (@ tptp.insert_com Y_51))) (= (@ _let_1 (@ _let_2 A_248)) (@ _let_2 (@ _let_1 A_248)))))))
% 0.66/1.05 (assert (forall ((X_113 tptp.hoare_1708887482_state) (Y_51 tptp.hoare_1708887482_state) (A_248 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state X_113))) (let ((_let_2 (@ tptp.insert528405184_state Y_51))) (= (@ _let_1 (@ _let_2 A_248)) (@ _let_2 (@ _let_1 A_248)))))))
% 0.66/1.05 (assert (forall ((X_112 tptp.pname) (A_247 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname X_112))) (let ((_let_2 (@ _let_1 A_247))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((X_112 tptp.com) (A_247 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com X_112))) (let ((_let_2 (@ _let_1 A_247))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((X_112 tptp.hoare_1708887482_state) (A_247 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state X_112))) (let ((_let_2 (@ _let_1 A_247))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((A_246 tptp.pname) (P_42 (-> tptp.pname Bool))) (= (@ (@ tptp.insert_pname A_246) (@ tptp.collect_pname P_42)) (@ tptp.collect_pname (lambda ((U_2 tptp.pname)) (=> (not (= U_2 A_246)) (@ P_42 U_2)))))))
% 0.66/1.05 (assert (forall ((A_246 tptp.com) (P_42 (-> tptp.com Bool))) (= (@ (@ tptp.insert_com A_246) (@ tptp.collect_com P_42)) (@ tptp.collect_com (lambda ((U_2 tptp.com)) (=> (not (= U_2 A_246)) (@ P_42 U_2)))))))
% 0.66/1.05 (assert (forall ((A_246 (-> tptp.pname Bool)) (P_42 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.insert_pname_o A_246) (@ tptp.collect_pname_o P_42)) (@ tptp.collect_pname_o (lambda ((U_2 (-> tptp.pname Bool))) (=> (not (= U_2 A_246)) (@ P_42 U_2)))))))
% 0.66/1.05 (assert (forall ((A_246 (-> tptp.hoare_1708887482_state Bool)) (P_42 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.insert949073679tate_o A_246) (@ tptp.collec219771562tate_o P_42)) (@ tptp.collec219771562tate_o (lambda ((U_2 (-> tptp.hoare_1708887482_state Bool))) (=> (not (= U_2 A_246)) (@ P_42 U_2)))))))
% 0.66/1.05 (assert (forall ((A_246 tptp.hoare_1708887482_state) (P_42 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.insert528405184_state A_246) (@ tptp.collec1568722789_state P_42)) (@ tptp.collec1568722789_state (lambda ((U_2 tptp.hoare_1708887482_state)) (=> (not (= U_2 A_246)) (@ P_42 U_2)))))))
% 0.66/1.05 (assert (forall ((A_245 tptp.com) (B_160 (-> tptp.com Bool))) (= (@ (@ tptp.insert_com A_245) B_160) (@ tptp.collect_com (lambda ((X_3 tptp.com)) (or (= X_3 A_245) (@ (@ tptp.member_com X_3) B_160)))))))
% 0.66/1.05 (assert (forall ((A_245 (-> tptp.pname Bool)) (B_160 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.insert_pname_o A_245) B_160) (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (or (= X_3 A_245) (@ (@ tptp.member_pname_o X_3) B_160)))))))
% 0.66/1.05 (assert (forall ((A_245 (-> tptp.hoare_1708887482_state Bool)) (B_160 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.insert949073679tate_o A_245) B_160) (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (or (= X_3 A_245) (@ (@ tptp.member814030440tate_o X_3) B_160)))))))
% 0.66/1.05 (assert (forall ((A_245 tptp.pname) (B_160 (-> tptp.pname Bool))) (= (@ (@ tptp.insert_pname A_245) B_160) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (or (= X_3 A_245) (@ (@ tptp.member_pname X_3) B_160)))))))
% 0.66/1.05 (assert (forall ((A_245 tptp.hoare_1708887482_state) (B_160 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.insert528405184_state A_245) B_160) (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (or (= X_3 A_245) (@ (@ tptp.member451959335_state X_3) B_160)))))))
% 0.66/1.05 (assert (forall ((A_244 tptp.com) (B_159 (-> tptp.com Bool))) (@ (@ tptp.member_com A_244) (@ (@ tptp.insert_com A_244) B_159))))
% 0.66/1.05 (assert (forall ((A_244 tptp.pname) (B_159 (-> tptp.pname Bool))) (@ (@ tptp.member_pname A_244) (@ (@ tptp.insert_pname A_244) B_159))))
% 0.66/1.05 (assert (forall ((A_244 tptp.hoare_1708887482_state) (B_159 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.member451959335_state A_244) (@ (@ tptp.insert528405184_state A_244) B_159))))
% 0.66/1.05 (assert (forall ((A_243 (-> tptp.pname Bool)) (B_158 (-> tptp.pname Bool))) (=> (= A_243 B_158) (not (=> (@ (@ tptp.ord_less_eq_pname_o A_243) B_158) (not (@ (@ tptp.ord_less_eq_pname_o B_158) A_243)))))))
% 0.66/1.05 (assert (forall ((A_243 (-> tptp.hoare_1708887482_state Bool)) (B_158 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_243 B_158) (not (=> (@ (@ tptp.ord_le777019615tate_o A_243) B_158) (not (@ (@ tptp.ord_le777019615tate_o B_158) A_243)))))))
% 0.66/1.05 (assert (forall ((C_64 (-> tptp.pname Bool)) (A_242 (-> tptp.pname Bool)) (B_157 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_242))) (=> (@ _let_1 B_157) (=> (@ (@ tptp.ord_less_eq_pname_o B_157) C_64) (@ _let_1 C_64))))))
% 0.66/1.05 (assert (forall ((C_64 (-> tptp.hoare_1708887482_state Bool)) (A_242 (-> tptp.hoare_1708887482_state Bool)) (B_157 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_242))) (=> (@ _let_1 B_157) (=> (@ (@ tptp.ord_le777019615tate_o B_157) C_64) (@ _let_1 C_64))))))
% 0.66/1.05 (assert (forall ((X_111 tptp.com) (A_241 (-> tptp.com Bool)) (B_156 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com X_111))) (=> (@ (@ tptp.ord_less_eq_com_o A_241) B_156) (=> (@ _let_1 A_241) (@ _let_1 B_156))))))
% 0.66/1.05 (assert (forall ((X_111 tptp.hoare_1708887482_state) (A_241 (-> tptp.hoare_1708887482_state Bool)) (B_156 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state X_111))) (=> (@ (@ tptp.ord_le777019615tate_o A_241) B_156) (=> (@ _let_1 A_241) (@ _let_1 B_156))))))
% 0.66/1.05 (assert (forall ((X_111 tptp.pname) (A_241 (-> tptp.pname Bool)) (B_156 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname X_111))) (=> (@ (@ tptp.ord_less_eq_pname_o A_241) B_156) (=> (@ _let_1 A_241) (@ _let_1 B_156))))))
% 0.66/1.05 (assert (forall ((B_155 (-> tptp.com Bool)) (X_110 tptp.com) (A_240 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com X_110))) (=> (@ _let_1 A_240) (=> (@ (@ tptp.ord_less_eq_com_o A_240) B_155) (@ _let_1 B_155))))))
% 0.66/1.05 (assert (forall ((B_155 (-> tptp.hoare_1708887482_state Bool)) (X_110 tptp.hoare_1708887482_state) (A_240 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state X_110))) (=> (@ _let_1 A_240) (=> (@ (@ tptp.ord_le777019615tate_o A_240) B_155) (@ _let_1 B_155))))))
% 0.66/1.05 (assert (forall ((B_155 (-> tptp.pname Bool)) (X_110 tptp.pname) (A_240 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname X_110))) (=> (@ _let_1 A_240) (=> (@ (@ tptp.ord_less_eq_pname_o A_240) B_155) (@ _let_1 B_155))))))
% 0.66/1.05 (assert (forall ((X_109 tptp.com) (A_239 (-> tptp.com Bool)) (B_154 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com X_109))) (=> (@ (@ tptp.ord_less_eq_com_o A_239) B_154) (=> (@ _let_1 A_239) (@ _let_1 B_154))))))
% 0.66/1.05 (assert (forall ((X_109 tptp.hoare_1708887482_state) (A_239 (-> tptp.hoare_1708887482_state Bool)) (B_154 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state X_109))) (=> (@ (@ tptp.ord_le777019615tate_o A_239) B_154) (=> (@ _let_1 A_239) (@ _let_1 B_154))))))
% 0.66/1.05 (assert (forall ((X_109 tptp.pname) (A_239 (-> tptp.pname Bool)) (B_154 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname X_109))) (=> (@ (@ tptp.ord_less_eq_pname_o A_239) B_154) (=> (@ _let_1 A_239) (@ _let_1 B_154))))))
% 0.66/1.05 (assert (forall ((A_238 (-> tptp.pname Bool)) (B_153 (-> tptp.pname Bool))) (=> (= A_238 B_153) (@ (@ tptp.ord_less_eq_pname_o B_153) A_238))))
% 0.66/1.05 (assert (forall ((A_238 (-> tptp.hoare_1708887482_state Bool)) (B_153 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_238 B_153) (@ (@ tptp.ord_le777019615tate_o B_153) A_238))))
% 0.66/1.05 (assert (forall ((A_237 (-> tptp.pname Bool)) (B_152 (-> tptp.pname Bool))) (=> (= A_237 B_152) (@ (@ tptp.ord_less_eq_pname_o A_237) B_152))))
% 0.66/1.05 (assert (forall ((A_237 (-> tptp.hoare_1708887482_state Bool)) (B_152 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_237 B_152) (@ (@ tptp.ord_le777019615tate_o A_237) B_152))))
% 0.66/1.05 (assert (forall ((A_236 (-> tptp.pname Bool)) (B_151 (-> tptp.pname Bool))) (= (= A_236 B_151) (and (@ (@ tptp.ord_less_eq_pname_o A_236) B_151) (@ (@ tptp.ord_less_eq_pname_o B_151) A_236)))))
% 0.66/1.05 (assert (forall ((A_236 (-> tptp.hoare_1708887482_state Bool)) (B_151 (-> tptp.hoare_1708887482_state Bool))) (= (= A_236 B_151) (and (@ (@ tptp.ord_le777019615tate_o A_236) B_151) (@ (@ tptp.ord_le777019615tate_o B_151) A_236)))))
% 0.66/1.05 (assert (forall ((A_235 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o A_235) A_235)))
% 0.66/1.05 (assert (forall ((A_235 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o A_235) A_235)))
% 0.66/1.05 (assert (forall ((B_150 tptp.com) (F_84 (-> tptp.hoare_1708887482_state tptp.com)) (X_108 tptp.hoare_1708887482_state) (A_234 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member_com B_150) (@ (@ tptp.image_1604448413te_com F_84) A_234))))))
% 0.66/1.05 (assert (forall ((B_150 tptp.com) (F_84 (-> tptp.pname tptp.com)) (X_108 tptp.pname) (A_234 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member_com B_150) (@ (@ tptp.image_pname_com F_84) A_234))))))
% 0.66/1.05 (assert (forall ((B_150 tptp.hoare_1708887482_state) (F_84 (-> tptp.com tptp.hoare_1708887482_state)) (X_108 tptp.com) (A_234 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member451959335_state B_150) (@ (@ tptp.image_934102463_state F_84) A_234))))))
% 0.66/1.05 (assert (forall ((B_150 tptp.pname) (F_84 (-> tptp.com tptp.pname)) (X_108 tptp.com) (A_234 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member_pname B_150) (@ (@ tptp.image_com_pname F_84) A_234))))))
% 0.66/1.05 (assert (forall ((B_150 tptp.hoare_1708887482_state) (F_84 (-> tptp.pname tptp.hoare_1708887482_state)) (X_108 tptp.pname) (A_234 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member451959335_state B_150) (@ (@ tptp.image_1116629049_state F_84) A_234))))))
% 0.66/1.05 (assert (forall ((F_83 (-> tptp.hoare_1708887482_state tptp.com)) (X_107 tptp.hoare_1708887482_state) (A_233 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_107) A_233) (@ (@ tptp.member_com (@ F_83 X_107)) (@ (@ tptp.image_1604448413te_com F_83) A_233)))))
% 0.66/1.05 (assert (forall ((F_83 (-> tptp.pname tptp.com)) (X_107 tptp.pname) (A_233 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_107) A_233) (@ (@ tptp.member_com (@ F_83 X_107)) (@ (@ tptp.image_pname_com F_83) A_233)))))
% 0.66/1.05 (assert (forall ((F_83 (-> tptp.com tptp.hoare_1708887482_state)) (X_107 tptp.com) (A_233 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_107) A_233) (@ (@ tptp.member451959335_state (@ F_83 X_107)) (@ (@ tptp.image_934102463_state F_83) A_233)))))
% 0.66/1.05 (assert (forall ((F_83 (-> tptp.com tptp.pname)) (X_107 tptp.com) (A_233 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_107) A_233) (@ (@ tptp.member_pname (@ F_83 X_107)) (@ (@ tptp.image_com_pname F_83) A_233)))))
% 0.66/1.05 (assert (forall ((F_83 (-> tptp.pname tptp.hoare_1708887482_state)) (X_107 tptp.pname) (A_233 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_107) A_233) (@ (@ tptp.member451959335_state (@ F_83 X_107)) (@ (@ tptp.image_1116629049_state F_83) A_233)))))
% 0.66/1.05 (assert (forall ((Z_21 tptp.hoare_1708887482_state) (F_82 (-> tptp.pname tptp.hoare_1708887482_state)) (A_232 (-> tptp.pname Bool))) (= (@ (@ tptp.member451959335_state Z_21) (@ (@ tptp.image_1116629049_state F_82) A_232)) (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) A_232) (= Z_21 (@ F_82 X_3)))))))
% 0.66/1.05 (assert (forall ((P_41 (-> (-> tptp.pname Bool) Bool)) (Q_25 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.finite297249702name_o (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (or (@ P_41 X_3) (@ Q_25 X_3))))) (and (@ tptp.finite297249702name_o (@ tptp.collect_pname_o P_41)) (@ tptp.finite297249702name_o (@ tptp.collect_pname_o Q_25))))))
% 0.66/1.05 (assert (forall ((P_41 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (Q_25 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (or (@ P_41 X_3) (@ Q_25 X_3))))) (and (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o P_41)) (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o Q_25))))))
% 0.66/1.05 (assert (forall ((P_41 (-> tptp.hoare_1708887482_state Bool)) (Q_25 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (or (@ P_41 X_3) (@ Q_25 X_3))))) (and (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state P_41)) (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state Q_25))))))
% 0.66/1.05 (assert (forall ((P_41 (-> tptp.pname Bool)) (Q_25 (-> tptp.pname Bool))) (= (@ tptp.finite_finite_pname (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (or (@ P_41 X_3) (@ Q_25 X_3))))) (and (@ tptp.finite_finite_pname (@ tptp.collect_pname P_41)) (@ tptp.finite_finite_pname (@ tptp.collect_pname Q_25))))))
% 0.66/1.05 (assert (forall ((X_3 tptp.com) (Xa (-> tptp.com Bool))) (= (@ (@ tptp.insert_com X_3) Xa) (@ tptp.collect_com (lambda ((Y_4 tptp.com)) (or (= Y_4 X_3) (@ (@ tptp.member_com Y_4) Xa)))))))
% 0.66/1.05 (assert (forall ((X_3 (-> tptp.pname Bool)) (Xa (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.insert_pname_o X_3) Xa) (@ tptp.collect_pname_o (lambda ((Y_4 (-> tptp.pname Bool))) (or (= Y_4 X_3) (@ (@ tptp.member_pname_o Y_4) Xa)))))))
% 0.66/1.05 (assert (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Xa (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.insert949073679tate_o X_3) Xa) (@ tptp.collec219771562tate_o (lambda ((Y_4 (-> tptp.hoare_1708887482_state Bool))) (or (= Y_4 X_3) (@ (@ tptp.member814030440tate_o Y_4) Xa)))))))
% 0.66/1.05 (assert (forall ((X_3 tptp.pname) (Xa (-> tptp.pname Bool))) (= (@ (@ tptp.insert_pname X_3) Xa) (@ tptp.collect_pname (lambda ((Y_4 tptp.pname)) (or (= Y_4 X_3) (@ (@ tptp.member_pname Y_4) Xa)))))))
% 0.66/1.05 (assert (forall ((X_3 tptp.hoare_1708887482_state) (Xa (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.insert528405184_state X_3) Xa) (@ tptp.collec1568722789_state (lambda ((Y_4 tptp.hoare_1708887482_state)) (or (= Y_4 X_3) (@ (@ tptp.member451959335_state Y_4) Xa)))))))
% 0.66/1.05 (assert (forall ((A_231 tptp.pname) (B_149 tptp.pname)) (=> (= (@ (@ tptp.insert_pname A_231) tptp.bot_bot_pname_o) (@ (@ tptp.insert_pname B_149) tptp.bot_bot_pname_o)) (= A_231 B_149))))
% 0.66/1.05 (assert (forall ((A_231 tptp.com) (B_149 tptp.com)) (=> (= (@ (@ tptp.insert_com A_231) tptp.bot_bot_com_o) (@ (@ tptp.insert_com B_149) tptp.bot_bot_com_o)) (= A_231 B_149))))
% 0.66/1.05 (assert (forall ((A_231 tptp.hoare_1708887482_state) (B_149 tptp.hoare_1708887482_state)) (=> (= (@ (@ tptp.insert528405184_state A_231) tptp.bot_bo19817387tate_o) (@ (@ tptp.insert528405184_state B_149) tptp.bot_bo19817387tate_o)) (= A_231 B_149))))
% 0.66/1.05 (assert (forall ((B_148 tptp.com) (A_230 tptp.com)) (=> (@ (@ tptp.member_com B_148) (@ (@ tptp.insert_com A_230) tptp.bot_bot_com_o)) (= B_148 A_230))))
% 0.66/1.05 (assert (forall ((B_148 tptp.pname) (A_230 tptp.pname)) (=> (@ (@ tptp.member_pname B_148) (@ (@ tptp.insert_pname A_230) tptp.bot_bot_pname_o)) (= B_148 A_230))))
% 0.66/1.05 (assert (forall ((B_148 tptp.hoare_1708887482_state) (A_230 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state B_148) (@ (@ tptp.insert528405184_state A_230) tptp.bot_bo19817387tate_o)) (= B_148 A_230))))
% 0.66/1.05 (assert (forall ((A_229 tptp.pname) (B_147 tptp.pname) (C_63 tptp.pname) (D_7 tptp.pname)) (= (= (@ (@ tptp.insert_pname A_229) (@ (@ tptp.insert_pname B_147) tptp.bot_bot_pname_o)) (@ (@ tptp.insert_pname C_63) (@ (@ tptp.insert_pname D_7) tptp.bot_bot_pname_o))) (or (and (= A_229 C_63) (= B_147 D_7)) (and (= A_229 D_7) (= B_147 C_63))))))
% 0.66/1.05 (assert (forall ((A_229 tptp.com) (B_147 tptp.com) (C_63 tptp.com) (D_7 tptp.com)) (= (= (@ (@ tptp.insert_com A_229) (@ (@ tptp.insert_com B_147) tptp.bot_bot_com_o)) (@ (@ tptp.insert_com C_63) (@ (@ tptp.insert_com D_7) tptp.bot_bot_com_o))) (or (and (= A_229 C_63) (= B_147 D_7)) (and (= A_229 D_7) (= B_147 C_63))))))
% 0.66/1.05 (assert (forall ((A_229 tptp.hoare_1708887482_state) (B_147 tptp.hoare_1708887482_state) (C_63 tptp.hoare_1708887482_state) (D_7 tptp.hoare_1708887482_state)) (= (= (@ (@ tptp.insert528405184_state A_229) (@ (@ tptp.insert528405184_state B_147) tptp.bot_bo19817387tate_o)) (@ (@ tptp.insert528405184_state C_63) (@ (@ tptp.insert528405184_state D_7) tptp.bot_bo19817387tate_o))) (or (and (= A_229 C_63) (= B_147 D_7)) (and (= A_229 D_7) (= B_147 C_63))))))
% 0.66/1.05 (assert (forall ((B_146 tptp.com) (A_228 tptp.com)) (= (@ (@ tptp.member_com B_146) (@ (@ tptp.insert_com A_228) tptp.bot_bot_com_o)) (= B_146 A_228))))
% 0.66/1.05 (assert (forall ((B_146 tptp.pname) (A_228 tptp.pname)) (= (@ (@ tptp.member_pname B_146) (@ (@ tptp.insert_pname A_228) tptp.bot_bot_pname_o)) (= B_146 A_228))))
% 0.66/1.05 (assert (forall ((B_146 tptp.hoare_1708887482_state) (A_228 tptp.hoare_1708887482_state)) (= (@ (@ tptp.member451959335_state B_146) (@ (@ tptp.insert528405184_state A_228) tptp.bot_bo19817387tate_o)) (= B_146 A_228))))
% 0.66/1.05 (assert (forall ((A_227 tptp.pname) (A_226 (-> tptp.pname Bool))) (not (= (@ (@ tptp.insert_pname A_227) A_226) tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((A_227 tptp.com) (A_226 (-> tptp.com Bool))) (not (= (@ (@ tptp.insert_com A_227) A_226) tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_227 tptp.hoare_1708887482_state) (A_226 (-> tptp.hoare_1708887482_state Bool))) (not (= (@ (@ tptp.insert528405184_state A_227) A_226) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((A_225 tptp.pname) (A_224 (-> tptp.pname Bool))) (not (= tptp.bot_bot_pname_o (@ (@ tptp.insert_pname A_225) A_224)))))
% 0.66/1.05 (assert (forall ((A_225 tptp.com) (A_224 (-> tptp.com Bool))) (not (= tptp.bot_bot_com_o (@ (@ tptp.insert_com A_225) A_224)))))
% 0.66/1.05 (assert (forall ((A_225 tptp.hoare_1708887482_state) (A_224 (-> tptp.hoare_1708887482_state Bool))) (not (= tptp.bot_bo19817387tate_o (@ (@ tptp.insert528405184_state A_225) A_224)))))
% 0.66/1.05 (assert (forall ((A_223 tptp.com) (A_222 (-> tptp.com Bool))) (= (@ tptp.finite_finite_com (@ (@ tptp.insert_com A_223) A_222)) (@ tptp.finite_finite_com A_222))))
% 0.66/1.05 (assert (forall ((A_223 (-> tptp.pname Bool)) (A_222 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.finite297249702name_o (@ (@ tptp.insert_pname_o A_223) A_222)) (@ tptp.finite297249702name_o A_222))))
% 0.66/1.05 (assert (forall ((A_223 (-> tptp.hoare_1708887482_state Bool)) (A_222 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.finite1329924456tate_o (@ (@ tptp.insert949073679tate_o A_223) A_222)) (@ tptp.finite1329924456tate_o A_222))))
% 0.66/1.05 (assert (forall ((A_223 tptp.pname) (A_222 (-> tptp.pname Bool))) (= (@ tptp.finite_finite_pname (@ (@ tptp.insert_pname A_223) A_222)) (@ tptp.finite_finite_pname A_222))))
% 0.66/1.05 (assert (forall ((A_223 tptp.hoare_1708887482_state) (A_222 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.finite1625599783_state (@ (@ tptp.insert528405184_state A_223) A_222)) (@ tptp.finite1625599783_state A_222))))
% 0.66/1.05 (assert (forall ((A_221 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o A_221) tptp.bot_bot_pname_o) (= A_221 tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((A_221 (-> tptp.com Bool))) (= (@ (@ tptp.ord_less_eq_com_o A_221) tptp.bot_bot_com_o) (= A_221 tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_221 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o A_221) tptp.bot_bo19817387tate_o) (= A_221 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((F_81 (-> tptp.com tptp.hoare_1708887482_state)) (A_220 (-> tptp.com Bool))) (= (= (@ (@ tptp.image_934102463_state F_81) A_220) tptp.bot_bo19817387tate_o) (= A_220 tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((F_81 (-> tptp.hoare_1708887482_state tptp.pname)) (A_220 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.image_1509414295_pname F_81) A_220) tptp.bot_bot_pname_o) (= A_220 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((F_81 (-> tptp.hoare_1708887482_state tptp.com)) (A_220 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.image_1604448413te_com F_81) A_220) tptp.bot_bot_com_o) (= A_220 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((F_81 (-> tptp.pname tptp.hoare_1708887482_state)) (A_220 (-> tptp.pname Bool))) (= (= (@ (@ tptp.image_1116629049_state F_81) A_220) tptp.bot_bo19817387tate_o) (= A_220 tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((F_80 (-> tptp.hoare_1708887482_state tptp.pname))) (= (@ (@ tptp.image_1509414295_pname F_80) tptp.bot_bo19817387tate_o) tptp.bot_bot_pname_o)))
% 0.66/1.05 (assert (forall ((F_80 (-> tptp.hoare_1708887482_state tptp.com))) (= (@ (@ tptp.image_1604448413te_com F_80) tptp.bot_bo19817387tate_o) tptp.bot_bot_com_o)))
% 0.66/1.05 (assert (forall ((F_80 (-> tptp.com tptp.hoare_1708887482_state))) (= (@ (@ tptp.image_934102463_state F_80) tptp.bot_bot_com_o) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((F_80 (-> tptp.pname tptp.hoare_1708887482_state))) (= (@ (@ tptp.image_1116629049_state F_80) tptp.bot_bot_pname_o) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((F_79 (-> tptp.com tptp.hoare_1708887482_state)) (A_219 (-> tptp.com Bool))) (= (= tptp.bot_bo19817387tate_o (@ (@ tptp.image_934102463_state F_79) A_219)) (= A_219 tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((F_79 (-> tptp.hoare_1708887482_state tptp.pname)) (A_219 (-> tptp.hoare_1708887482_state Bool))) (= (= tptp.bot_bot_pname_o (@ (@ tptp.image_1509414295_pname F_79) A_219)) (= A_219 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((F_79 (-> tptp.hoare_1708887482_state tptp.com)) (A_219 (-> tptp.hoare_1708887482_state Bool))) (= (= tptp.bot_bot_com_o (@ (@ tptp.image_1604448413te_com F_79) A_219)) (= A_219 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((F_79 (-> tptp.pname tptp.hoare_1708887482_state)) (A_219 (-> tptp.pname Bool))) (= (= tptp.bot_bo19817387tate_o (@ (@ tptp.image_1116629049_state F_79) A_219)) (= A_219 tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((A_218 (-> (-> tptp.pname Bool) Bool)) (B_145 (-> (-> tptp.pname Bool) Bool))) (=> (@ (@ tptp.ord_le1205211808me_o_o A_218) B_145) (=> (@ tptp.finite297249702name_o B_145) (@ tptp.finite297249702name_o A_218)))))
% 0.66/1.05 (assert (forall ((A_218 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_145 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ (@ tptp.ord_le1728773982te_o_o A_218) B_145) (=> (@ tptp.finite1329924456tate_o B_145) (@ tptp.finite1329924456tate_o A_218)))))
% 0.66/1.05 (assert (forall ((A_218 (-> tptp.hoare_1708887482_state Bool)) (B_145 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_218) B_145) (=> (@ tptp.finite1625599783_state B_145) (@ tptp.finite1625599783_state A_218)))))
% 0.66/1.05 (assert (forall ((A_218 (-> tptp.pname Bool)) (B_145 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_218) B_145) (=> (@ tptp.finite_finite_pname B_145) (@ tptp.finite_finite_pname A_218)))))
% 0.66/1.05 (assert (forall ((A_217 (-> (-> tptp.pname Bool) Bool)) (B_144 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o B_144) (=> (@ (@ tptp.ord_le1205211808me_o_o A_217) B_144) (@ tptp.finite297249702name_o A_217)))))
% 0.66/1.05 (assert (forall ((A_217 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_144 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o B_144) (=> (@ (@ tptp.ord_le1728773982te_o_o A_217) B_144) (@ tptp.finite1329924456tate_o A_217)))))
% 0.66/1.05 (assert (forall ((A_217 (-> tptp.hoare_1708887482_state Bool)) (B_144 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_144) (=> (@ (@ tptp.ord_le777019615tate_o A_217) B_144) (@ tptp.finite1625599783_state A_217)))))
% 0.66/1.05 (assert (forall ((A_217 (-> tptp.pname Bool)) (B_144 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_144) (=> (@ (@ tptp.ord_less_eq_pname_o A_217) B_144) (@ tptp.finite_finite_pname A_217)))))
% 0.66/1.05 (assert (forall ((A_216 tptp.pname) (C_62 (-> tptp.pname Bool)) (D_6 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_216))) (=> (@ (@ tptp.ord_less_eq_pname_o C_62) D_6) (@ (@ tptp.ord_less_eq_pname_o (@ _let_1 C_62)) (@ _let_1 D_6))))))
% 0.66/1.05 (assert (forall ((A_216 tptp.com) (C_62 (-> tptp.com Bool)) (D_6 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_216))) (=> (@ (@ tptp.ord_less_eq_com_o C_62) D_6) (@ (@ tptp.ord_less_eq_com_o (@ _let_1 C_62)) (@ _let_1 D_6))))))
% 0.66/1.05 (assert (forall ((A_216 tptp.hoare_1708887482_state) (C_62 (-> tptp.hoare_1708887482_state Bool)) (D_6 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_216))) (=> (@ (@ tptp.ord_le777019615tate_o C_62) D_6) (@ (@ tptp.ord_le777019615tate_o (@ _let_1 C_62)) (@ _let_1 D_6))))))
% 0.66/1.05 (assert (forall ((X_106 tptp.com) (A_215 (-> tptp.com Bool))) (= (@ (@ tptp.member_com X_106) A_215) (@ A_215 X_106))))
% 0.66/1.05 (assert (forall ((X_106 tptp.hoare_1708887482_state) (A_215 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.member451959335_state X_106) A_215) (@ A_215 X_106))))
% 0.66/1.05 (assert (forall ((X_106 tptp.pname) (A_215 (-> tptp.pname Bool))) (= (@ (@ tptp.member_pname X_106) A_215) (@ A_215 X_106))))
% 0.66/1.05 (assert (forall ((P_40 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec1568722789_state P_40) P_40)))
% 0.66/1.05 (assert (forall ((P_40 (-> tptp.pname Bool))) (= (@ tptp.collect_pname P_40) P_40)))
% 0.66/1.05 (assert (forall ((P_40 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.collect_pname_o P_40) P_40)))
% 0.66/1.05 (assert (forall ((P_40 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.collec219771562tate_o P_40) P_40)))
% 0.66/1.05 (assert (forall ((B_143 tptp.pname) (A_214 (-> tptp.pname Bool)) (B_142 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_214))) (=> (@ _let_1 B_142) (@ _let_1 (@ (@ tptp.insert_pname B_143) B_142))))))
% 0.66/1.05 (assert (forall ((B_143 tptp.com) (A_214 (-> tptp.com Bool)) (B_142 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.ord_less_eq_com_o A_214))) (=> (@ _let_1 B_142) (@ _let_1 (@ (@ tptp.insert_com B_143) B_142))))))
% 0.66/1.05 (assert (forall ((B_143 tptp.hoare_1708887482_state) (A_214 (-> tptp.hoare_1708887482_state Bool)) (B_142 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_214))) (=> (@ _let_1 B_142) (@ _let_1 (@ (@ tptp.insert528405184_state B_143) B_142))))))
% 0.66/1.05 (assert (forall ((B_141 (-> tptp.com Bool)) (X_105 tptp.com) (A_213 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.ord_less_eq_com_o A_213))) (=> (not (@ (@ tptp.member_com X_105) A_213)) (= (@ _let_1 (@ (@ tptp.insert_com X_105) B_141)) (@ _let_1 B_141))))))
% 0.66/1.05 (assert (forall ((B_141 (-> tptp.pname Bool)) (X_105 tptp.pname) (A_213 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_213))) (=> (not (@ (@ tptp.member_pname X_105) A_213)) (= (@ _let_1 (@ (@ tptp.insert_pname X_105) B_141)) (@ _let_1 B_141))))))
% 0.66/1.05 (assert (forall ((B_141 (-> tptp.hoare_1708887482_state Bool)) (X_105 tptp.hoare_1708887482_state) (A_213 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_213))) (=> (not (@ (@ tptp.member451959335_state X_105) A_213)) (= (@ _let_1 (@ (@ tptp.insert528405184_state X_105) B_141)) (@ _let_1 B_141))))))
% 0.66/1.05 (assert (forall ((X_104 tptp.com) (A_212 (-> tptp.com Bool)) (B_140 (-> tptp.com Bool))) (= (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.insert_com X_104) A_212)) B_140) (and (@ (@ tptp.member_com X_104) B_140) (@ (@ tptp.ord_less_eq_com_o A_212) B_140)))))
% 0.66/1.05 (assert (forall ((X_104 tptp.pname) (A_212 (-> tptp.pname Bool)) (B_140 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.insert_pname X_104) A_212)) B_140) (and (@ (@ tptp.member_pname X_104) B_140) (@ (@ tptp.ord_less_eq_pname_o A_212) B_140)))))
% 0.66/1.05 (assert (forall ((X_104 tptp.hoare_1708887482_state) (A_212 (-> tptp.hoare_1708887482_state Bool)) (B_140 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.insert528405184_state X_104) A_212)) B_140) (and (@ (@ tptp.member451959335_state X_104) B_140) (@ (@ tptp.ord_le777019615tate_o A_212) B_140)))))
% 0.66/1.05 (assert (forall ((B_139 (-> tptp.pname Bool)) (A_211 tptp.pname)) (@ (@ tptp.ord_less_eq_pname_o B_139) (@ (@ tptp.insert_pname A_211) B_139))))
% 0.66/1.05 (assert (forall ((B_139 (-> tptp.com Bool)) (A_211 tptp.com)) (@ (@ tptp.ord_less_eq_com_o B_139) (@ (@ tptp.insert_com A_211) B_139))))
% 0.66/1.05 (assert (forall ((B_139 (-> tptp.hoare_1708887482_state Bool)) (A_211 tptp.hoare_1708887482_state)) (@ (@ tptp.ord_le777019615tate_o B_139) (@ (@ tptp.insert528405184_state A_211) B_139))))
% 0.66/1.05 (assert (forall ((F_78 (-> tptp.hoare_1708887482_state tptp.pname)) (X_103 tptp.hoare_1708887482_state) (A_210 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.image_1509414295_pname F_78) A_210))) (=> (@ (@ tptp.member451959335_state X_103) A_210) (= (@ (@ tptp.insert_pname (@ F_78 X_103)) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_78 (-> tptp.hoare_1708887482_state tptp.com)) (X_103 tptp.hoare_1708887482_state) (A_210 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.image_1604448413te_com F_78) A_210))) (=> (@ (@ tptp.member451959335_state X_103) A_210) (= (@ (@ tptp.insert_com (@ F_78 X_103)) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_78 (-> tptp.pname tptp.pname)) (X_103 tptp.pname) (A_210 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.image_pname_pname F_78) A_210))) (=> (@ (@ tptp.member_pname X_103) A_210) (= (@ (@ tptp.insert_pname (@ F_78 X_103)) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_78 (-> tptp.pname tptp.com)) (X_103 tptp.pname) (A_210 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.image_pname_com F_78) A_210))) (=> (@ (@ tptp.member_pname X_103) A_210) (= (@ (@ tptp.insert_com (@ F_78 X_103)) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_78 (-> tptp.com tptp.hoare_1708887482_state)) (X_103 tptp.com) (A_210 (-> tptp.com Bool))) (let ((_let_1 (@ (@ tptp.image_934102463_state F_78) A_210))) (=> (@ (@ tptp.member_com X_103) A_210) (= (@ (@ tptp.insert528405184_state (@ F_78 X_103)) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_78 (-> tptp.pname tptp.hoare_1708887482_state)) (X_103 tptp.pname) (A_210 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.image_1116629049_state F_78) A_210))) (=> (@ (@ tptp.member_pname X_103) A_210) (= (@ (@ tptp.insert528405184_state (@ F_78 X_103)) _let_1) _let_1)))))
% 0.66/1.05 (assert (forall ((F_77 (-> tptp.hoare_1708887482_state tptp.pname)) (A_209 tptp.hoare_1708887482_state) (B_138 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.image_1509414295_pname F_77))) (= (@ _let_1 (@ (@ tptp.insert528405184_state A_209) B_138)) (@ (@ tptp.insert_pname (@ F_77 A_209)) (@ _let_1 B_138))))))
% 0.66/1.05 (assert (forall ((F_77 (-> tptp.hoare_1708887482_state tptp.com)) (A_209 tptp.hoare_1708887482_state) (B_138 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.image_1604448413te_com F_77))) (= (@ _let_1 (@ (@ tptp.insert528405184_state A_209) B_138)) (@ (@ tptp.insert_com (@ F_77 A_209)) (@ _let_1 B_138))))))
% 0.66/1.05 (assert (forall ((F_77 (-> tptp.com tptp.hoare_1708887482_state)) (A_209 tptp.com) (B_138 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.image_934102463_state F_77))) (= (@ _let_1 (@ (@ tptp.insert_com A_209) B_138)) (@ (@ tptp.insert528405184_state (@ F_77 A_209)) (@ _let_1 B_138))))))
% 0.66/1.05 (assert (forall ((F_77 (-> tptp.pname tptp.hoare_1708887482_state)) (A_209 tptp.pname) (B_138 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_77))) (= (@ _let_1 (@ (@ tptp.insert_pname A_209) B_138)) (@ (@ tptp.insert528405184_state (@ F_77 A_209)) (@ _let_1 B_138))))))
% 0.66/1.05 (assert (forall ((F_76 (-> tptp.hoare_1708887482_state tptp.pname)) (A_208 (-> tptp.hoare_1708887482_state Bool)) (B_137 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.image_1509414295_pname F_76))) (=> (@ (@ tptp.ord_le777019615tate_o A_208) B_137) (@ (@ tptp.ord_less_eq_pname_o (@ _let_1 A_208)) (@ _let_1 B_137))))))
% 0.66/1.05 (assert (forall ((F_76 (-> tptp.pname tptp.hoare_1708887482_state)) (A_208 (-> tptp.pname Bool)) (B_137 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_76))) (=> (@ (@ tptp.ord_less_eq_pname_o A_208) B_137) (@ (@ tptp.ord_le777019615tate_o (@ _let_1 A_208)) (@ _let_1 B_137))))))
% 0.66/1.05 (assert (forall ((B_136 (-> tptp.pname Bool)) (F_75 (-> tptp.hoare_1708887482_state tptp.pname)) (A_207 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_less_eq_pname_o B_136) (@ (@ tptp.image_1509414295_pname F_75) A_207)) (exists ((AA (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.ord_le777019615tate_o AA) A_207) (= B_136 (@ (@ tptp.image_1509414295_pname F_75) AA)))))))
% 0.66/1.05 (assert (forall ((B_136 (-> tptp.hoare_1708887482_state Bool)) (F_75 (-> tptp.pname tptp.hoare_1708887482_state)) (A_207 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_le777019615tate_o B_136) (@ (@ tptp.image_1116629049_state F_75) A_207)) (exists ((AA (-> tptp.pname Bool))) (and (@ (@ tptp.ord_less_eq_pname_o AA) A_207) (= B_136 (@ (@ tptp.image_1116629049_state F_75) AA)))))))
% 0.66/1.05 (assert (forall ((M_5 (-> tptp.com tptp.option_com)) (A_206 tptp.com) (B_135 tptp.com)) (=> (= (@ M_5 A_206) (@ tptp.some_com B_135)) (@ (@ tptp.member_com A_206) (@ tptp.dom_com_com M_5)))))
% 0.66/1.05 (assert (forall ((M_5 (-> tptp.hoare_1708887482_state tptp.option_pname)) (A_206 tptp.hoare_1708887482_state) (B_135 tptp.pname)) (=> (= (@ M_5 A_206) (@ tptp.some_pname B_135)) (@ (@ tptp.member451959335_state A_206) (@ tptp.dom_Ho1805192458_pname M_5)))))
% 0.66/1.05 (assert (forall ((M_5 (-> tptp.hoare_1708887482_state tptp.option1624383643_state)) (A_206 tptp.hoare_1708887482_state) (B_135 tptp.hoare_1708887482_state)) (=> (= (@ M_5 A_206) (@ tptp.some_H1974565227_state B_135)) (@ (@ tptp.member451959335_state A_206) (@ tptp.dom_Ho1703271284_state M_5)))))
% 0.66/1.05 (assert (forall ((M_5 (-> tptp.pname tptp.option_pname)) (A_206 tptp.pname) (B_135 tptp.pname)) (=> (= (@ M_5 A_206) (@ tptp.some_pname B_135)) (@ (@ tptp.member_pname A_206) (@ tptp.dom_pname_pname M_5)))))
% 0.66/1.05 (assert (forall ((M_5 (-> tptp.pname tptp.option1624383643_state)) (A_206 tptp.pname) (B_135 tptp.hoare_1708887482_state)) (=> (= (@ M_5 A_206) (@ tptp.some_H1974565227_state B_135)) (@ (@ tptp.member_pname A_206) (@ tptp.dom_pn1412407212_state M_5)))))
% 0.66/1.05 (assert (forall ((M_5 (-> tptp.pname tptp.option_com)) (A_206 tptp.pname) (B_135 tptp.com)) (=> (= (@ M_5 A_206) (@ tptp.some_com B_135)) (@ (@ tptp.member_pname A_206) (@ tptp.dom_pname_com M_5)))))
% 0.66/1.05 (assert (forall ((P_39 (-> tptp.pname Bool)) (A_205 tptp.pname)) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert_pname A_205) tptp.bot_bot_pname_o))) (=> (not _let_1) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bot_pname_o))))))
% 0.66/1.05 (assert (forall ((P_39 (-> tptp.com Bool)) (A_205 tptp.com)) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert_com A_205) tptp.bot_bot_com_o))) (=> (not _let_1) (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bot_com_o))))))
% 0.66/1.05 (assert (forall ((P_39 (-> (-> tptp.pname Bool) Bool)) (A_205 (-> tptp.pname Bool))) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert_pname_o A_205) tptp.bot_bot_pname_o_o))) (=> (not _let_1) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bot_pname_o_o))))))
% 0.66/1.05 (assert (forall ((P_39 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_205 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert949073679tate_o A_205) tptp.bot_bo1678742418te_o_o))) (=> (not _let_1) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bo1678742418te_o_o))))))
% 0.66/1.05 (assert (forall ((P_39 (-> tptp.hoare_1708887482_state Bool)) (A_205 tptp.hoare_1708887482_state)) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert528405184_state A_205) tptp.bot_bo19817387tate_o))) (=> (not _let_1) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bo19817387tate_o))))))
% 0.66/1.05 (assert (forall ((P_38 (-> tptp.pname Bool)) (A_204 tptp.pname)) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert_pname A_204) tptp.bot_bot_pname_o))) (=> (not _let_1) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bot_pname_o))))))
% 0.66/1.05 (assert (forall ((P_38 (-> tptp.com Bool)) (A_204 tptp.com)) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert_com A_204) tptp.bot_bot_com_o))) (=> (not _let_1) (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bot_com_o))))))
% 0.66/1.05 (assert (forall ((P_38 (-> (-> tptp.pname Bool) Bool)) (A_204 (-> tptp.pname Bool))) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert_pname_o A_204) tptp.bot_bot_pname_o_o))) (=> (not _let_1) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bot_pname_o_o))))))
% 0.66/1.05 (assert (forall ((P_38 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_204 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert949073679tate_o A_204) tptp.bot_bo1678742418te_o_o))) (=> (not _let_1) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bo1678742418te_o_o))))))
% 0.66/1.05 (assert (forall ((P_38 (-> tptp.hoare_1708887482_state Bool)) (A_204 tptp.hoare_1708887482_state)) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert528405184_state A_204) tptp.bot_bo19817387tate_o))) (=> (not _let_1) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bo19817387tate_o))))))
% 0.66/1.05 (assert (forall ((A_203 tptp.pname)) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (= X_3 A_203))) (@ (@ tptp.insert_pname A_203) tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((A_203 tptp.com)) (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (= X_3 A_203))) (@ (@ tptp.insert_com A_203) tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_203 (-> tptp.pname Bool))) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (= X_3 A_203))) (@ (@ tptp.insert_pname_o A_203) tptp.bot_bot_pname_o_o))))
% 0.66/1.05 (assert (forall ((A_203 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (= X_3 A_203))) (@ (@ tptp.insert949073679tate_o A_203) tptp.bot_bo1678742418te_o_o))))
% 0.66/1.05 (assert (forall ((A_203 tptp.hoare_1708887482_state)) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (= X_3 A_203))) (@ (@ tptp.insert528405184_state A_203) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((A_202 tptp.pname)) (= (@ tptp.collect_pname (@ tptp.fequal_pname A_202)) (@ (@ tptp.insert_pname A_202) tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((A_202 tptp.com)) (= (@ tptp.collect_com (@ tptp.fequal_com A_202)) (@ (@ tptp.insert_com A_202) tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_202 (-> tptp.pname Bool))) (= (@ tptp.collect_pname_o (@ tptp.fequal_pname_o A_202)) (@ (@ tptp.insert_pname_o A_202) tptp.bot_bot_pname_o_o))))
% 0.66/1.05 (assert (forall ((A_202 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec219771562tate_o (@ tptp.fequal1436017556tate_o A_202)) (@ (@ tptp.insert949073679tate_o A_202) tptp.bot_bo1678742418te_o_o))))
% 0.66/1.05 (assert (forall ((A_202 tptp.hoare_1708887482_state)) (= (@ tptp.collec1568722789_state (@ tptp.fequal224822779_state A_202)) (@ (@ tptp.insert528405184_state A_202) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((C_34 tptp.com) (G_7 (-> tptp.hoare_1708887482_state Bool))) (=> tptp.hoare_1160767572gleton (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) (@ tptp.dom_pname_com tptp.body)) (@ (@ tptp.hoare_90032982_state G_7) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 X_3))) tptp.bot_bo19817387tate_o)))) (=> (@ tptp.wt C_34) (@ (@ tptp.hoare_90032982_state G_7) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((Pn_1 tptp.pname) (B_82 tptp.com)) (=> tptp.wT_bodies (=> (= (@ tptp.body Pn_1) (@ tptp.some_com B_82)) (@ tptp.wt B_82)))))
% 0.66/1.05 (assert (forall ((B_134 tptp.hoare_1708887482_state) (F_74 (-> tptp.com tptp.hoare_1708887482_state)) (A_201 (-> tptp.com Bool))) (=> (@ (@ tptp.member451959335_state B_134) (@ (@ tptp.image_934102463_state F_74) A_201)) (not (forall ((X_3 tptp.com)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member_com X_3) A_201))))))))
% 0.66/1.05 (assert (forall ((B_134 tptp.pname) (F_74 (-> tptp.com tptp.pname)) (A_201 (-> tptp.com Bool))) (=> (@ (@ tptp.member_pname B_134) (@ (@ tptp.image_com_pname F_74) A_201)) (not (forall ((X_3 tptp.com)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member_com X_3) A_201))))))))
% 0.66/1.05 (assert (forall ((B_134 tptp.com) (F_74 (-> tptp.hoare_1708887482_state tptp.com)) (A_201 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member_com B_134) (@ (@ tptp.image_1604448413te_com F_74) A_201)) (not (forall ((X_3 tptp.hoare_1708887482_state)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member451959335_state X_3) A_201))))))))
% 0.66/1.05 (assert (forall ((B_134 tptp.com) (F_74 (-> tptp.pname tptp.com)) (A_201 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_com B_134) (@ (@ tptp.image_pname_com F_74) A_201)) (not (forall ((X_3 tptp.pname)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member_pname X_3) A_201))))))))
% 0.66/1.05 (assert (forall ((B_134 tptp.hoare_1708887482_state) (F_74 (-> tptp.pname tptp.hoare_1708887482_state)) (A_201 (-> tptp.pname Bool))) (=> (@ (@ tptp.member451959335_state B_134) (@ (@ tptp.image_1116629049_state F_74) A_201)) (not (forall ((X_3 tptp.pname)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member_pname X_3) A_201))))))))
% 0.66/1.05 (assert (forall ((P_37 (-> (-> tptp.com Bool) Bool)) (A_200 (-> tptp.com Bool)) (F_73 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com F_73) (=> (@ (@ tptp.ord_less_eq_com_o F_73) A_200) (=> (@ P_37 tptp.bot_bot_com_o) (=> (forall ((A_6 tptp.com) (F_53 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com A_6))) (=> (@ tptp.finite_finite_com F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert_com A_6) F_53)))))))) (@ P_37 F_73)))))))
% 0.66/1.05 (assert (forall ((P_37 (-> (-> (-> tptp.pname Bool) Bool) Bool)) (A_200 (-> (-> tptp.pname Bool) Bool)) (F_73 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_73) (=> (@ (@ tptp.ord_le1205211808me_o_o F_73) A_200) (=> (@ P_37 tptp.bot_bot_pname_o_o) (=> (forall ((A_6 (-> tptp.pname Bool)) (F_53 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ tptp.member_pname_o A_6))) (=> (@ tptp.finite297249702name_o F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert_pname_o A_6) F_53)))))))) (@ P_37 F_73)))))))
% 0.66/1.05 (assert (forall ((P_37 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool)) (A_200 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_73 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_73) (=> (@ (@ tptp.ord_le1728773982te_o_o F_73) A_200) (=> (@ P_37 tptp.bot_bo1678742418te_o_o) (=> (forall ((A_6 (-> tptp.hoare_1708887482_state Bool)) (F_53 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ tptp.member814030440tate_o A_6))) (=> (@ tptp.finite1329924456tate_o F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert949073679tate_o A_6) F_53)))))))) (@ P_37 F_73)))))))
% 0.66/1.05 (assert (forall ((P_37 (-> (-> tptp.pname Bool) Bool)) (A_200 (-> tptp.pname Bool)) (F_73 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_73) (=> (@ (@ tptp.ord_less_eq_pname_o F_73) A_200) (=> (@ P_37 tptp.bot_bot_pname_o) (=> (forall ((A_6 tptp.pname) (F_53 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname A_6))) (=> (@ tptp.finite_finite_pname F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert_pname A_6) F_53)))))))) (@ P_37 F_73)))))))
% 0.66/1.05 (assert (forall ((P_37 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_200 (-> tptp.hoare_1708887482_state Bool)) (F_73 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_73) (=> (@ (@ tptp.ord_le777019615tate_o F_73) A_200) (=> (@ P_37 tptp.bot_bo19817387tate_o) (=> (forall ((A_6 tptp.hoare_1708887482_state) (F_53 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state A_6))) (=> (@ tptp.finite1625599783_state F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert528405184_state A_6) F_53)))))))) (@ P_37 F_73)))))))
% 0.66/1.05 (assert (forall ((P tptp.pname)) (=> (@ tptp.wt (@ tptp.body_1 P)) (not (forall ((Y_4 tptp.com)) (not (= (@ tptp.body P) (@ tptp.some_com Y_4))))))))
% 0.66/1.05 (assert (forall ((B_133 (-> tptp.com Bool)) (A_199 (-> tptp.com Bool))) (=> (forall ((X_3 tptp.com)) (let ((_let_1 (@ tptp.member_com X_3))) (=> (@ _let_1 A_199) (@ _let_1 B_133)))) (@ (@ tptp.ord_less_eq_com_o A_199) B_133))))
% 0.66/1.05 (assert (forall ((B_133 (-> tptp.hoare_1708887482_state Bool)) (A_199 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (=> (@ _let_1 A_199) (@ _let_1 B_133)))) (@ (@ tptp.ord_le777019615tate_o A_199) B_133))))
% 0.66/1.05 (assert (forall ((B_133 (-> tptp.pname Bool)) (A_199 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (=> (@ _let_1 A_199) (@ _let_1 B_133)))) (@ (@ tptp.ord_less_eq_pname_o A_199) B_133))))
% 0.66/1.05 (assert (forall ((F_72 (-> (-> tptp.pname Bool) tptp.hoare_1708887482_state)) (A_198 (-> (-> tptp.pname Bool) Bool)) (B_132 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_132) (=> (@ (@ tptp.ord_le777019615tate_o B_132) (@ (@ tptp.image_1922967206_state F_72) A_198)) (exists ((C_61 (-> (-> tptp.pname Bool) Bool))) (and (@ (@ tptp.ord_le1205211808me_o_o C_61) A_198) (@ tptp.finite297249702name_o C_61) (= B_132 (@ (@ tptp.image_1922967206_state F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) (A_198 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_132 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_132) (=> (@ (@ tptp.ord_le777019615tate_o B_132) (@ (@ tptp.image_27005066_state F_72) A_198)) (exists ((C_61 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (and (@ (@ tptp.ord_le1728773982te_o_o C_61) A_198) (@ tptp.finite1329924456tate_o C_61) (= B_132 (@ (@ tptp.image_27005066_state F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> (-> tptp.pname Bool) tptp.pname)) (A_198 (-> (-> tptp.pname Bool) Bool)) (B_132 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_132) (=> (@ (@ tptp.ord_less_eq_pname_o B_132) (@ (@ tptp.image_pname_o_pname F_72) A_198)) (exists ((C_61 (-> (-> tptp.pname Bool) Bool))) (and (@ (@ tptp.ord_le1205211808me_o_o C_61) A_198) (@ tptp.finite297249702name_o C_61) (= B_132 (@ (@ tptp.image_pname_o_pname F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> (-> tptp.hoare_1708887482_state Bool) tptp.pname)) (A_198 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_132 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_132) (=> (@ (@ tptp.ord_less_eq_pname_o B_132) (@ (@ tptp.image_2051418740_pname F_72) A_198)) (exists ((C_61 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (and (@ (@ tptp.ord_le1728773982te_o_o C_61) A_198) (@ tptp.finite1329924456tate_o C_61) (= B_132 (@ (@ tptp.image_2051418740_pname F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> tptp.hoare_1708887482_state tptp.pname Bool)) (A_198 (-> tptp.hoare_1708887482_state Bool)) (B_132 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o B_132) (=> (@ (@ tptp.ord_le1205211808me_o_o B_132) (@ (@ tptp.image_1552895654name_o F_72) A_198)) (exists ((C_61 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.ord_le777019615tate_o C_61) A_198) (@ tptp.finite1625599783_state C_61) (= B_132 (@ (@ tptp.image_1552895654name_o F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)) (A_198 (-> tptp.hoare_1708887482_state Bool)) (B_132 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o B_132) (=> (@ (@ tptp.ord_le1728773982te_o_o B_132) (@ (@ tptp.image_1551509096tate_o F_72) A_198)) (exists ((C_61 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.ord_le777019615tate_o C_61) A_198) (@ tptp.finite1625599783_state C_61) (= B_132 (@ (@ tptp.image_1551509096tate_o F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> tptp.hoare_1708887482_state tptp.pname)) (A_198 (-> tptp.hoare_1708887482_state Bool)) (B_132 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_132) (=> (@ (@ tptp.ord_less_eq_pname_o B_132) (@ (@ tptp.image_1509414295_pname F_72) A_198)) (exists ((C_61 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.ord_le777019615tate_o C_61) A_198) (@ tptp.finite1625599783_state C_61) (= B_132 (@ (@ tptp.image_1509414295_pname F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> tptp.pname tptp.pname Bool)) (A_198 (-> tptp.pname Bool)) (B_132 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o B_132) (=> (@ (@ tptp.ord_le1205211808me_o_o B_132) (@ (@ tptp.image_pname_pname_o F_72) A_198)) (exists ((C_61 (-> tptp.pname Bool))) (and (@ (@ tptp.ord_less_eq_pname_o C_61) A_198) (@ tptp.finite_finite_pname C_61) (= B_132 (@ (@ tptp.image_pname_pname_o F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> tptp.pname tptp.hoare_1708887482_state Bool)) (A_198 (-> tptp.pname Bool)) (B_132 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o B_132) (=> (@ (@ tptp.ord_le1728773982te_o_o B_132) (@ (@ tptp.image_425134806tate_o F_72) A_198)) (exists ((C_61 (-> tptp.pname Bool))) (and (@ (@ tptp.ord_less_eq_pname_o C_61) A_198) (@ tptp.finite_finite_pname C_61) (= B_132 (@ (@ tptp.image_425134806tate_o F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> tptp.pname tptp.pname)) (A_198 (-> tptp.pname Bool)) (B_132 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_132) (=> (@ (@ tptp.ord_less_eq_pname_o B_132) (@ (@ tptp.image_pname_pname F_72) A_198)) (exists ((C_61 (-> tptp.pname Bool))) (and (@ (@ tptp.ord_less_eq_pname_o C_61) A_198) (@ tptp.finite_finite_pname C_61) (= B_132 (@ (@ tptp.image_pname_pname F_72) C_61))))))))
% 0.66/1.05 (assert (forall ((F_72 (-> tptp.pname tptp.hoare_1708887482_state)) (A_198 (-> tptp.pname Bool)) (B_132 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_132) (=> (@ (@ tptp.ord_le777019615tate_o B_132) (@ (@ tptp.image_1116629049_state F_72) A_198)) (exists ((C_61 (-> tptp.pname Bool))) (and (@ (@ tptp.ord_less_eq_pname_o C_61) A_198) (@ tptp.finite_finite_pname C_61) (= B_132 (@ (@ tptp.image_1116629049_state F_72) C_61))))))))
% 0.66/1.05 (assert (@ tptp.finite_finite_pname (@ tptp.dom_pname_com tptp.body)))
% 0.66/1.05 (assert (forall ((P_36 (-> (-> tptp.com Bool) Bool)) (F_71 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com F_71) (=> (@ P_36 tptp.bot_bot_com_o) (=> (forall ((X_3 tptp.com) (F_53 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com F_53) (=> (not (@ (@ tptp.member_com X_3) F_53)) (=> (@ P_36 F_53) (@ P_36 (@ (@ tptp.insert_com X_3) F_53)))))) (@ P_36 F_71))))))
% 0.66/1.05 (assert (forall ((P_36 (-> (-> (-> tptp.pname Bool) Bool) Bool)) (F_71 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_71) (=> (@ P_36 tptp.bot_bot_pname_o_o) (=> (forall ((X_3 (-> tptp.pname Bool)) (F_53 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_53) (=> (not (@ (@ tptp.member_pname_o X_3) F_53)) (=> (@ P_36 F_53) (@ P_36 (@ (@ tptp.insert_pname_o X_3) F_53)))))) (@ P_36 F_71))))))
% 0.66/1.05 (assert (forall ((P_36 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool)) (F_71 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_71) (=> (@ P_36 tptp.bot_bo1678742418te_o_o) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (F_53 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_53) (=> (not (@ (@ tptp.member814030440tate_o X_3) F_53)) (=> (@ P_36 F_53) (@ P_36 (@ (@ tptp.insert949073679tate_o X_3) F_53)))))) (@ P_36 F_71))))))
% 0.66/1.05 (assert (forall ((P_36 (-> (-> tptp.pname Bool) Bool)) (F_71 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_71) (=> (@ P_36 tptp.bot_bot_pname_o) (=> (forall ((X_3 tptp.pname) (F_53 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_53) (=> (not (@ (@ tptp.member_pname X_3) F_53)) (=> (@ P_36 F_53) (@ P_36 (@ (@ tptp.insert_pname X_3) F_53)))))) (@ P_36 F_71))))))
% 0.66/1.05 (assert (forall ((P_36 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_71 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_71) (=> (@ P_36 tptp.bot_bo19817387tate_o) (=> (forall ((X_3 tptp.hoare_1708887482_state) (F_53 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_53) (=> (not (@ (@ tptp.member451959335_state X_3) F_53)) (=> (@ P_36 F_53) (@ P_36 (@ (@ tptp.insert528405184_state X_3) F_53)))))) (@ P_36 F_71))))))
% 0.66/1.05 (assert (forall ((A_197 (-> tptp.com Bool))) (= (@ tptp.finite_finite_com A_197) (or (= A_197 tptp.bot_bot_com_o) (exists ((A_39 (-> tptp.com Bool)) (A_6 tptp.com)) (and (= A_197 (@ (@ tptp.insert_com A_6) A_39)) (@ tptp.finite_finite_com A_39)))))))
% 0.66/1.05 (assert (forall ((A_197 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.finite297249702name_o A_197) (or (= A_197 tptp.bot_bot_pname_o_o) (exists ((A_39 (-> (-> tptp.pname Bool) Bool)) (A_6 (-> tptp.pname Bool))) (and (= A_197 (@ (@ tptp.insert_pname_o A_6) A_39)) (@ tptp.finite297249702name_o A_39)))))))
% 0.66/1.05 (assert (forall ((A_197 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.finite1329924456tate_o A_197) (or (= A_197 tptp.bot_bo1678742418te_o_o) (exists ((A_39 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_6 (-> tptp.hoare_1708887482_state Bool))) (and (= A_197 (@ (@ tptp.insert949073679tate_o A_6) A_39)) (@ tptp.finite1329924456tate_o A_39)))))))
% 0.66/1.05 (assert (forall ((A_197 (-> tptp.pname Bool))) (= (@ tptp.finite_finite_pname A_197) (or (= A_197 tptp.bot_bot_pname_o) (exists ((A_39 (-> tptp.pname Bool)) (A_6 tptp.pname)) (and (= A_197 (@ (@ tptp.insert_pname A_6) A_39)) (@ tptp.finite_finite_pname A_39)))))))
% 0.66/1.05 (assert (forall ((A_197 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.finite1625599783_state A_197) (or (= A_197 tptp.bot_bo19817387tate_o) (exists ((A_39 (-> tptp.hoare_1708887482_state Bool)) (A_6 tptp.hoare_1708887482_state)) (and (= A_197 (@ (@ tptp.insert528405184_state A_6) A_39)) (@ tptp.finite1625599783_state A_39)))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.com tptp.hoare_1708887482_state)) (A_196 (-> tptp.com Bool))) (=> (not (@ tptp.finite_finite_com A_196)) (=> (@ tptp.finite1625599783_state (@ (@ tptp.image_934102463_state F_70) A_196)) (exists ((X_3 tptp.com)) (and (@ (@ tptp.member_com X_3) A_196) (not (@ tptp.finite_finite_com (@ tptp.collect_com (lambda ((A_6 tptp.com)) (and (@ (@ tptp.member_com A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (A_196 (-> tptp.hoare_1708887482_state Bool))) (=> (not (@ tptp.finite1625599783_state A_196)) (=> (@ tptp.finite1625599783_state (@ (@ tptp.image_757158439_state F_70) A_196)) (exists ((X_3 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state X_3) A_196) (not (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state (lambda ((A_6 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> (-> tptp.pname Bool) tptp.hoare_1708887482_state)) (A_196 (-> (-> tptp.pname Bool) Bool))) (=> (not (@ tptp.finite297249702name_o A_196)) (=> (@ tptp.finite1625599783_state (@ (@ tptp.image_1922967206_state F_70) A_196)) (exists ((X_3 (-> tptp.pname Bool))) (and (@ (@ tptp.member_pname_o X_3) A_196) (not (@ tptp.finite297249702name_o (@ tptp.collect_pname_o (lambda ((A_6 (-> tptp.pname Bool))) (and (@ (@ tptp.member_pname_o A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) (A_196 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (not (@ tptp.finite1329924456tate_o A_196)) (=> (@ tptp.finite1625599783_state (@ (@ tptp.image_27005066_state F_70) A_196)) (exists ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.member814030440tate_o X_3) A_196) (not (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o (lambda ((A_6 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.member814030440tate_o A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.com tptp.pname)) (A_196 (-> tptp.com Bool))) (=> (not (@ tptp.finite_finite_com A_196)) (=> (@ tptp.finite_finite_pname (@ (@ tptp.image_com_pname F_70) A_196)) (exists ((X_3 tptp.com)) (and (@ (@ tptp.member_com X_3) A_196) (not (@ tptp.finite_finite_com (@ tptp.collect_com (lambda ((A_6 tptp.com)) (and (@ (@ tptp.member_com A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.hoare_1708887482_state tptp.pname)) (A_196 (-> tptp.hoare_1708887482_state Bool))) (=> (not (@ tptp.finite1625599783_state A_196)) (=> (@ tptp.finite_finite_pname (@ (@ tptp.image_1509414295_pname F_70) A_196)) (exists ((X_3 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state X_3) A_196) (not (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state (lambda ((A_6 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.pname tptp.pname)) (A_196 (-> tptp.pname Bool))) (=> (not (@ tptp.finite_finite_pname A_196)) (=> (@ tptp.finite_finite_pname (@ (@ tptp.image_pname_pname F_70) A_196)) (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) A_196) (not (@ tptp.finite_finite_pname (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (and (@ (@ tptp.member_pname A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> (-> tptp.pname Bool) tptp.pname)) (A_196 (-> (-> tptp.pname Bool) Bool))) (=> (not (@ tptp.finite297249702name_o A_196)) (=> (@ tptp.finite_finite_pname (@ (@ tptp.image_pname_o_pname F_70) A_196)) (exists ((X_3 (-> tptp.pname Bool))) (and (@ (@ tptp.member_pname_o X_3) A_196) (not (@ tptp.finite297249702name_o (@ tptp.collect_pname_o (lambda ((A_6 (-> tptp.pname Bool))) (and (@ (@ tptp.member_pname_o A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> (-> tptp.hoare_1708887482_state Bool) tptp.pname)) (A_196 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (not (@ tptp.finite1329924456tate_o A_196)) (=> (@ tptp.finite_finite_pname (@ (@ tptp.image_2051418740_pname F_70) A_196)) (exists ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.member814030440tate_o X_3) A_196) (not (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o (lambda ((A_6 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.member814030440tate_o A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.hoare_1708887482_state tptp.pname Bool)) (A_196 (-> tptp.hoare_1708887482_state Bool))) (=> (not (@ tptp.finite1625599783_state A_196)) (=> (@ tptp.finite297249702name_o (@ (@ tptp.image_1552895654name_o F_70) A_196)) (exists ((X_3 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state X_3) A_196) (not (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state (lambda ((A_6 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)) (A_196 (-> tptp.hoare_1708887482_state Bool))) (=> (not (@ tptp.finite1625599783_state A_196)) (=> (@ tptp.finite1329924456tate_o (@ (@ tptp.image_1551509096tate_o F_70) A_196)) (exists ((X_3 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state X_3) A_196) (not (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state (lambda ((A_6 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.pname tptp.pname Bool)) (A_196 (-> tptp.pname Bool))) (=> (not (@ tptp.finite_finite_pname A_196)) (=> (@ tptp.finite297249702name_o (@ (@ tptp.image_pname_pname_o F_70) A_196)) (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) A_196) (not (@ tptp.finite_finite_pname (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (and (@ (@ tptp.member_pname A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.pname tptp.hoare_1708887482_state Bool)) (A_196 (-> tptp.pname Bool))) (=> (not (@ tptp.finite_finite_pname A_196)) (=> (@ tptp.finite1329924456tate_o (@ (@ tptp.image_425134806tate_o F_70) A_196)) (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) A_196) (not (@ tptp.finite_finite_pname (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (and (@ (@ tptp.member_pname A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((F_70 (-> tptp.pname tptp.hoare_1708887482_state)) (A_196 (-> tptp.pname Bool))) (=> (not (@ tptp.finite_finite_pname A_196)) (=> (@ tptp.finite1625599783_state (@ (@ tptp.image_1116629049_state F_70) A_196)) (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) A_196) (not (@ tptp.finite_finite_pname (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (and (@ (@ tptp.member_pname A_6) A_196) (= (@ F_70 A_6) (@ F_70 X_3)))))))))))))
% 0.66/1.05 (assert (forall ((Pname_1 tptp.pname) (Pname tptp.pname)) (= (= (@ tptp.body_1 Pname_1) (@ tptp.body_1 Pname)) (= Pname_1 Pname))))
% 0.66/1.05 (assert (forall ((G_7 (-> tptp.hoare_1708887482_state Bool)) (Procs_3 (-> tptp.pname Bool))) (=> (@ (@ tptp.hoare_90032982_state (@ (@ tptp.semila1122118281tate_o G_7) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn)))) Procs_3))) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.the_com (@ tptp.body Pn))))) Procs_3)) (=> (@ tptp.finite_finite_pname Procs_3) (@ (@ tptp.hoare_90032982_state G_7) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn)))) Procs_3))))))
% 0.66/1.05 (assert (forall ((A_195 tptp.com) (M_4 (-> tptp.com tptp.option_com))) (=> (@ (@ tptp.member_com A_195) (@ tptp.dom_com_com M_4)) (exists ((B_131 tptp.com)) (= (@ M_4 A_195) (@ tptp.some_com B_131))))))
% 0.66/1.05 (assert (forall ((A_195 tptp.hoare_1708887482_state) (M_4 (-> tptp.hoare_1708887482_state tptp.option_pname))) (=> (@ (@ tptp.member451959335_state A_195) (@ tptp.dom_Ho1805192458_pname M_4)) (exists ((B_131 tptp.pname)) (= (@ M_4 A_195) (@ tptp.some_pname B_131))))))
% 0.66/1.05 (assert (forall ((A_195 tptp.hoare_1708887482_state) (M_4 (-> tptp.hoare_1708887482_state tptp.option1624383643_state))) (=> (@ (@ tptp.member451959335_state A_195) (@ tptp.dom_Ho1703271284_state M_4)) (exists ((B_131 tptp.hoare_1708887482_state)) (= (@ M_4 A_195) (@ tptp.some_H1974565227_state B_131))))))
% 0.66/1.05 (assert (forall ((A_195 tptp.pname) (M_4 (-> tptp.pname tptp.option_pname))) (=> (@ (@ tptp.member_pname A_195) (@ tptp.dom_pname_pname M_4)) (exists ((B_131 tptp.pname)) (= (@ M_4 A_195) (@ tptp.some_pname B_131))))))
% 0.66/1.05 (assert (forall ((A_195 tptp.pname) (M_4 (-> tptp.pname tptp.option1624383643_state))) (=> (@ (@ tptp.member_pname A_195) (@ tptp.dom_pn1412407212_state M_4)) (exists ((B_131 tptp.hoare_1708887482_state)) (= (@ M_4 A_195) (@ tptp.some_H1974565227_state B_131))))))
% 0.66/1.05 (assert (forall ((A_195 tptp.pname) (M_4 (-> tptp.pname tptp.option_com))) (=> (@ (@ tptp.member_pname A_195) (@ tptp.dom_pname_com M_4)) (exists ((B_131 tptp.com)) (= (@ M_4 A_195) (@ tptp.some_com B_131))))))
% 0.66/1.05 (assert (forall ((X_102 tptp.pname)) (= (@ tptp.the_elem_pname (@ (@ tptp.insert_pname X_102) tptp.bot_bot_pname_o)) X_102)))
% 0.66/1.05 (assert (forall ((X_102 tptp.com)) (= (@ tptp.the_elem_com (@ (@ tptp.insert_com X_102) tptp.bot_bot_com_o)) X_102)))
% 0.66/1.05 (assert (forall ((X_102 tptp.hoare_1708887482_state)) (= (@ tptp.the_el864710747_state (@ (@ tptp.insert528405184_state X_102) tptp.bot_bo19817387tate_o)) X_102)))
% 0.66/1.05 (assert (forall ((F_69 (-> tptp.hoare_1708887482_state tptp.com)) (B_130 (-> tptp.com Bool)) (A_194 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_194) (@ (@ tptp.member_com (@ F_69 X_3)) B_130))) (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.image_1604448413te_com F_69) A_194)) B_130))))
% 0.66/1.05 (assert (forall ((F_69 (-> tptp.hoare_1708887482_state tptp.pname)) (B_130 (-> tptp.pname Bool)) (A_194 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_194) (@ (@ tptp.member_pname (@ F_69 X_3)) B_130))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.image_1509414295_pname F_69) A_194)) B_130))))
% 0.66/1.05 (assert (forall ((F_69 (-> tptp.pname tptp.com)) (B_130 (-> tptp.com Bool)) (A_194 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_194) (@ (@ tptp.member_com (@ F_69 X_3)) B_130))) (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.image_pname_com F_69) A_194)) B_130))))
% 0.66/1.05 (assert (forall ((F_69 (-> tptp.pname tptp.pname)) (B_130 (-> tptp.pname Bool)) (A_194 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_194) (@ (@ tptp.member_pname (@ F_69 X_3)) B_130))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.image_pname_pname F_69) A_194)) B_130))))
% 0.66/1.05 (assert (forall ((F_69 (-> tptp.com tptp.hoare_1708887482_state)) (B_130 (-> tptp.hoare_1708887482_state Bool)) (A_194 (-> tptp.com Bool))) (=> (forall ((X_3 tptp.com)) (=> (@ (@ tptp.member_com X_3) A_194) (@ (@ tptp.member451959335_state (@ F_69 X_3)) B_130))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.image_934102463_state F_69) A_194)) B_130))))
% 0.66/1.05 (assert (forall ((F_69 (-> tptp.com tptp.pname)) (B_130 (-> tptp.pname Bool)) (A_194 (-> tptp.com Bool))) (=> (forall ((X_3 tptp.com)) (=> (@ (@ tptp.member_com X_3) A_194) (@ (@ tptp.member_pname (@ F_69 X_3)) B_130))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.image_com_pname F_69) A_194)) B_130))))
% 0.66/1.05 (assert (forall ((F_69 (-> tptp.pname tptp.hoare_1708887482_state)) (B_130 (-> tptp.hoare_1708887482_state Bool)) (A_194 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_194) (@ (@ tptp.member451959335_state (@ F_69 X_3)) B_130))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.image_1116629049_state F_69) A_194)) B_130))))
% 0.66/1.05 (assert (forall ((X_101 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o X_101) X_101)))
% 0.66/1.05 (assert (forall ((X_101 Bool)) (@ (@ tptp.ord_less_eq_o X_101) X_101)))
% 0.66/1.05 (assert (forall ((X_101 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o X_101) X_101)))
% 0.66/1.05 (assert (forall ((A_193 (-> tptp.com Bool))) (= (not (= A_193 tptp.bot_bot_com_o)) (exists ((X_3 tptp.com) (B_84 (-> tptp.com Bool))) (and (= A_193 (@ (@ tptp.insert_com X_3) B_84)) (not (@ (@ tptp.member_com X_3) B_84)))))))
% 0.66/1.05 (assert (forall ((A_193 (-> tptp.pname Bool))) (= (not (= A_193 tptp.bot_bot_pname_o)) (exists ((X_3 tptp.pname) (B_84 (-> tptp.pname Bool))) (and (= A_193 (@ (@ tptp.insert_pname X_3) B_84)) (not (@ (@ tptp.member_pname X_3) B_84)))))))
% 0.66/1.05 (assert (forall ((A_193 (-> tptp.hoare_1708887482_state Bool))) (= (not (= A_193 tptp.bot_bo19817387tate_o)) (exists ((X_3 tptp.hoare_1708887482_state) (B_84 (-> tptp.hoare_1708887482_state Bool))) (and (= A_193 (@ (@ tptp.insert528405184_state X_3) B_84)) (not (@ (@ tptp.member451959335_state X_3) B_84)))))))
% 0.66/1.05 (assert (forall ((X_100 tptp.pname)) (= (@ tptp.the_pname_1 (@ tptp.some_pname X_100)) X_100)))
% 0.66/1.05 (assert (forall ((X_100 tptp.hoare_1708887482_state)) (= (@ tptp.the_Ho963921505_state (@ tptp.some_H1974565227_state X_100)) X_100)))
% 0.66/1.05 (assert (forall ((X_100 tptp.com)) (= (@ tptp.the_com (@ tptp.some_com X_100)) X_100)))
% 0.66/1.05 (assert (forall ((G_31 (-> tptp.hoare_1708887482_state Bool)) (P_35 (-> tptp.state tptp.state Bool)) (Pn_4 tptp.pname) (Q_24 (-> tptp.state tptp.state Bool))) (let ((_let_1 (@ tptp.hoare_858012674_state P_35))) (let ((_let_2 (@ tptp.hoare_90032982_state G_31))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ _let_1 (@ tptp.the_com (@ tptp.body Pn_4))) Q_24)) tptp.bot_bo19817387tate_o)) (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ _let_1 (@ tptp.body_1 Pn_4)) Q_24)) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((P_34 (-> tptp.state tptp.state Bool)) (Pn_3 tptp.pname) (Q_23 (-> tptp.state tptp.state Bool)) (G_30 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.hoare_858012674_state P_34))) (let ((_let_2 (@ tptp.insert528405184_state (@ (@ _let_1 (@ tptp.body_1 Pn_3)) Q_23)))) (=> (@ (@ tptp.hoare_90032982_state (@ _let_2 G_30)) (@ (@ tptp.insert528405184_state (@ (@ _let_1 (@ tptp.the_com (@ tptp.body Pn_3))) Q_23)) tptp.bot_bo19817387tate_o)) (@ (@ tptp.hoare_90032982_state G_30) (@ _let_2 tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (= tptp.hoare_1160767572gleton (exists ((S_2 tptp.state) (T_1 tptp.state)) (not (= S_2 T_1)))))
% 0.66/1.05 (assert (forall ((A_192 (-> tptp.com Bool)) (C_60 tptp.com) (B_129 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_60))) (=> (=> (not (@ _let_1 B_129)) (@ _let_1 A_192)) (@ _let_1 (@ (@ tptp.semila1562558655_com_o A_192) B_129))))))
% 0.66/1.05 (assert (forall ((A_192 (-> tptp.hoare_1708887482_state Bool)) (C_60 tptp.hoare_1708887482_state) (B_129 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_60))) (=> (=> (not (@ _let_1 B_129)) (@ _let_1 A_192)) (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_192) B_129))))))
% 0.66/1.05 (assert (forall ((A_192 (-> tptp.pname Bool)) (C_60 tptp.pname) (B_129 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_60))) (=> (=> (not (@ _let_1 B_129)) (@ _let_1 A_192)) (@ _let_1 (@ (@ tptp.semila1780557381name_o A_192) B_129))))))
% 0.66/1.05 (assert (forall ((C_59 tptp.com) (A_191 (-> tptp.com Bool)) (B_128 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_59))) (=> (@ _let_1 (@ (@ tptp.semila1562558655_com_o A_191) B_128)) (=> (not (@ _let_1 A_191)) (@ _let_1 B_128))))))
% 0.66/1.05 (assert (forall ((C_59 tptp.hoare_1708887482_state) (A_191 (-> tptp.hoare_1708887482_state Bool)) (B_128 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_59))) (=> (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_191) B_128)) (=> (not (@ _let_1 A_191)) (@ _let_1 B_128))))))
% 0.66/1.05 (assert (forall ((C_59 tptp.pname) (A_191 (-> tptp.pname Bool)) (B_128 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_59))) (=> (@ _let_1 (@ (@ tptp.semila1780557381name_o A_191) B_128)) (=> (not (@ _let_1 A_191)) (@ _let_1 B_128))))))
% 0.66/1.05 (assert (forall ((Fun1_2 (-> tptp.state tptp.state Bool)) (Com_4 tptp.com) (Fun2_2 (-> tptp.state tptp.state Bool)) (Fun1_1 (-> tptp.state tptp.state Bool)) (Com_3 tptp.com) (Fun2_1 (-> tptp.state tptp.state Bool))) (= (= (@ (@ (@ tptp.hoare_858012674_state Fun1_2) Com_4) Fun2_2) (@ (@ (@ tptp.hoare_858012674_state Fun1_1) Com_3) Fun2_1)) (and (= Fun1_2 Fun1_1) (= Com_4 Com_3) (= Fun2_2 Fun2_1)))))
% 0.66/1.05 (assert (forall ((A_190 (-> tptp.com Bool)) (C_58 tptp.com) (B_127 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_58))) (=> (@ _let_1 B_127) (@ _let_1 (@ (@ tptp.semila1562558655_com_o A_190) B_127))))))
% 0.66/1.05 (assert (forall ((A_190 (-> tptp.hoare_1708887482_state Bool)) (C_58 tptp.hoare_1708887482_state) (B_127 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_58))) (=> (@ _let_1 B_127) (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_190) B_127))))))
% 0.66/1.05 (assert (forall ((A_190 (-> tptp.pname Bool)) (C_58 tptp.pname) (B_127 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_58))) (=> (@ _let_1 B_127) (@ _let_1 (@ (@ tptp.semila1780557381name_o A_190) B_127))))))
% 0.66/1.05 (assert (forall ((B_126 (-> tptp.com Bool)) (C_57 tptp.com) (A_189 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_57))) (=> (@ _let_1 A_189) (@ _let_1 (@ (@ tptp.semila1562558655_com_o A_189) B_126))))))
% 0.66/1.05 (assert (forall ((B_126 (-> tptp.hoare_1708887482_state Bool)) (C_57 tptp.hoare_1708887482_state) (A_189 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_57))) (=> (@ _let_1 A_189) (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_189) B_126))))))
% 0.66/1.05 (assert (forall ((B_126 (-> tptp.pname Bool)) (C_57 tptp.pname) (A_189 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_57))) (=> (@ _let_1 A_189) (@ _let_1 (@ (@ tptp.semila1780557381name_o A_189) B_126))))))
% 0.66/1.05 (assert (forall ((P_33 (-> tptp.pname Bool)) (A_188 (-> tptp.pname Bool)) (B_125 (-> tptp.pname Bool))) (= (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) (@ (@ tptp.semila1780557381name_o A_188) B_125)) (@ P_33 X_3))) (and (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_188) (@ P_33 X_3))) (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) B_125) (@ P_33 X_3)))))))
% 0.66/1.05 (assert (forall ((P_33 (-> tptp.hoare_1708887482_state Bool)) (A_188 (-> tptp.hoare_1708887482_state Bool)) (B_125 (-> tptp.hoare_1708887482_state Bool))) (= (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.semila1122118281tate_o A_188) B_125)) (@ P_33 X_3))) (and (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_188) (@ P_33 X_3))) (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) B_125) (@ P_33 X_3)))))))
% 0.66/1.05 (assert (forall ((P_32 (-> tptp.pname Bool)) (A_187 (-> tptp.pname Bool)) (B_124 (-> tptp.pname Bool))) (= (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) (@ (@ tptp.semila1780557381name_o A_187) B_124)) (@ P_32 X_3))) (or (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) A_187) (@ P_32 X_3))) (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) B_124) (@ P_32 X_3)))))))
% 0.66/1.05 (assert (forall ((P_32 (-> tptp.hoare_1708887482_state Bool)) (A_187 (-> tptp.hoare_1708887482_state Bool)) (B_124 (-> tptp.hoare_1708887482_state Bool))) (= (exists ((X_3 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.semila1122118281tate_o A_187) B_124)) (@ P_32 X_3))) (or (exists ((X_3 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state X_3) A_187) (@ P_32 X_3))) (exists ((X_3 tptp.hoare_1708887482_state)) (and (@ (@ tptp.member451959335_state X_3) B_124) (@ P_32 X_3)))))))
% 0.66/1.05 (assert (forall ((A_186 (-> tptp.pname Bool)) (B_123 (-> tptp.pname Bool)) (C_56 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_186))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 B_123)) C_56) (@ _let_1 (@ (@ tptp.semila1780557381name_o B_123) C_56))))))
% 0.66/1.05 (assert (forall ((A_186 (-> tptp.hoare_1708887482_state Bool)) (B_123 (-> tptp.hoare_1708887482_state Bool)) (C_56 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_186))) (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_123)) C_56) (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_123) C_56))))))
% 0.66/1.05 (assert (forall ((C_55 tptp.com) (A_185 (-> tptp.com Bool)) (B_122 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_55))) (= (@ _let_1 (@ (@ tptp.semila1562558655_com_o A_185) B_122)) (or (@ _let_1 A_185) (@ _let_1 B_122))))))
% 0.66/1.05 (assert (forall ((C_55 tptp.hoare_1708887482_state) (A_185 (-> tptp.hoare_1708887482_state Bool)) (B_122 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_55))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_185) B_122)) (or (@ _let_1 A_185) (@ _let_1 B_122))))))
% 0.66/1.05 (assert (forall ((C_55 tptp.pname) (A_185 (-> tptp.pname Bool)) (B_122 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_55))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o A_185) B_122)) (or (@ _let_1 A_185) (@ _let_1 B_122))))))
% 0.66/1.05 (assert (forall ((A_184 (-> tptp.pname Bool)) (B_121 (-> tptp.pname Bool)) (C_54 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_184))) (let ((_let_2 (@ tptp.semila1780557381name_o B_121))) (= (@ _let_1 (@ _let_2 C_54)) (@ _let_2 (@ _let_1 C_54)))))))
% 0.66/1.05 (assert (forall ((A_184 (-> tptp.hoare_1708887482_state Bool)) (B_121 (-> tptp.hoare_1708887482_state Bool)) (C_54 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_184))) (let ((_let_2 (@ tptp.semila1122118281tate_o B_121))) (= (@ _let_1 (@ _let_2 C_54)) (@ _let_2 (@ _let_1 C_54)))))))
% 0.66/1.05 (assert (forall ((A_183 (-> tptp.pname Bool)) (B_120 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_183))) (let ((_let_2 (@ _let_1 B_120))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((A_183 (-> tptp.hoare_1708887482_state Bool)) (B_120 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_183))) (let ((_let_2 (@ _let_1 B_120))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((A_182 (-> tptp.pname Bool)) (B_119 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_182) B_119) (@ (@ tptp.semila1780557381name_o B_119) A_182))))
% 0.66/1.05 (assert (forall ((A_182 (-> tptp.hoare_1708887482_state Bool)) (B_119 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_182) B_119) (@ (@ tptp.semila1122118281tate_o B_119) A_182))))
% 0.66/1.05 (assert (forall ((A_181 (-> tptp.com Bool)) (B_118 (-> tptp.com Bool))) (= (@ (@ tptp.semila1562558655_com_o A_181) B_118) (@ tptp.collect_com (lambda ((X_3 tptp.com)) (let ((_let_1 (@ tptp.member_com X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))))
% 0.66/1.05 (assert (forall ((A_181 (-> (-> tptp.pname Bool) Bool)) (B_118 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.semila181081674me_o_o A_181) B_118) (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname_o X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))))
% 0.66/1.05 (assert (forall ((A_181 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_118 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.semila1853742644te_o_o A_181) B_118) (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))))
% 0.66/1.05 (assert (forall ((A_181 (-> tptp.hoare_1708887482_state Bool)) (B_118 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_181) B_118) (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))))
% 0.66/1.05 (assert (forall ((A_181 (-> tptp.pname Bool)) (B_118 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_181) B_118) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))))
% 0.66/1.05 (assert (forall ((A_180 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_180) A_180) A_180)))
% 0.66/1.05 (assert (forall ((A_180 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_180) A_180) A_180)))
% 0.66/1.05 (assert (forall ((P_31 (-> tptp.pname Bool)) (Q_22 (-> tptp.pname Bool))) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (or (@ P_31 X_3) (@ Q_22 X_3)))) (@ (@ tptp.semila1780557381name_o (@ tptp.collect_pname P_31)) (@ tptp.collect_pname Q_22)))))
% 0.66/1.05 (assert (forall ((P_31 (-> (-> tptp.pname Bool) Bool)) (Q_22 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (or (@ P_31 X_3) (@ Q_22 X_3)))) (@ (@ tptp.semila181081674me_o_o (@ tptp.collect_pname_o P_31)) (@ tptp.collect_pname_o Q_22)))))
% 0.66/1.05 (assert (forall ((P_31 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (Q_22 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (or (@ P_31 X_3) (@ Q_22 X_3)))) (@ (@ tptp.semila1853742644te_o_o (@ tptp.collec219771562tate_o P_31)) (@ tptp.collec219771562tate_o Q_22)))))
% 0.66/1.05 (assert (forall ((P_31 (-> tptp.hoare_1708887482_state Bool)) (Q_22 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (or (@ P_31 X_3) (@ Q_22 X_3)))) (@ (@ tptp.semila1122118281tate_o (@ tptp.collec1568722789_state P_31)) (@ tptp.collec1568722789_state Q_22)))))
% 0.66/1.05 (assert (forall ((A_179 (-> tptp.pname Bool)) (B_117 (-> tptp.pname Bool))) (= (= (@ (@ tptp.semila1780557381name_o A_179) B_117) tptp.bot_bot_pname_o) (and (= A_179 tptp.bot_bot_pname_o) (= B_117 tptp.bot_bot_pname_o)))))
% 0.66/1.05 (assert (forall ((A_179 (-> tptp.com Bool)) (B_117 (-> tptp.com Bool))) (= (= (@ (@ tptp.semila1562558655_com_o A_179) B_117) tptp.bot_bot_com_o) (and (= A_179 tptp.bot_bot_com_o) (= B_117 tptp.bot_bot_com_o)))))
% 0.66/1.05 (assert (forall ((A_179 (-> tptp.hoare_1708887482_state Bool)) (B_117 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.semila1122118281tate_o A_179) B_117) tptp.bot_bo19817387tate_o) (and (= A_179 tptp.bot_bo19817387tate_o) (= B_117 tptp.bot_bo19817387tate_o)))))
% 0.66/1.05 (assert (forall ((A_178 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_178) tptp.bot_bot_pname_o) A_178)))
% 0.66/1.05 (assert (forall ((A_178 (-> tptp.com Bool))) (= (@ (@ tptp.semila1562558655_com_o A_178) tptp.bot_bot_com_o) A_178)))
% 0.66/1.05 (assert (forall ((A_178 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_178) tptp.bot_bo19817387tate_o) A_178)))
% 0.66/1.05 (assert (forall ((B_116 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o tptp.bot_bot_pname_o) B_116) B_116)))
% 0.66/1.05 (assert (forall ((B_116 (-> tptp.com Bool))) (= (@ (@ tptp.semila1562558655_com_o tptp.bot_bot_com_o) B_116) B_116)))
% 0.66/1.05 (assert (forall ((B_116 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o tptp.bot_bo19817387tate_o) B_116) B_116)))
% 0.66/1.05 (assert (forall ((G_29 (-> (-> tptp.pname Bool) Bool)) (F_68 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_68) (=> (@ tptp.finite297249702name_o G_29) (@ tptp.finite297249702name_o (@ (@ tptp.semila181081674me_o_o F_68) G_29))))))
% 0.66/1.05 (assert (forall ((G_29 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_68 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_68) (=> (@ tptp.finite1329924456tate_o G_29) (@ tptp.finite1329924456tate_o (@ (@ tptp.semila1853742644te_o_o F_68) G_29))))))
% 0.66/1.05 (assert (forall ((G_29 (-> tptp.hoare_1708887482_state Bool)) (F_68 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_68) (=> (@ tptp.finite1625599783_state G_29) (@ tptp.finite1625599783_state (@ (@ tptp.semila1122118281tate_o F_68) G_29))))))
% 0.66/1.05 (assert (forall ((G_29 (-> tptp.pname Bool)) (F_68 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_68) (=> (@ tptp.finite_finite_pname G_29) (@ tptp.finite_finite_pname (@ (@ tptp.semila1780557381name_o F_68) G_29))))))
% 0.66/1.05 (assert (forall ((F_67 (-> (-> tptp.pname Bool) Bool)) (G_28 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.finite297249702name_o (@ (@ tptp.semila181081674me_o_o F_67) G_28)) (and (@ tptp.finite297249702name_o F_67) (@ tptp.finite297249702name_o G_28)))))
% 0.66/1.05 (assert (forall ((F_67 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (G_28 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.finite1329924456tate_o (@ (@ tptp.semila1853742644te_o_o F_67) G_28)) (and (@ tptp.finite1329924456tate_o F_67) (@ tptp.finite1329924456tate_o G_28)))))
% 0.66/1.05 (assert (forall ((F_67 (-> tptp.hoare_1708887482_state Bool)) (G_28 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.finite1625599783_state (@ (@ tptp.semila1122118281tate_o F_67) G_28)) (and (@ tptp.finite1625599783_state F_67) (@ tptp.finite1625599783_state G_28)))))
% 0.66/1.05 (assert (forall ((F_67 (-> tptp.pname Bool)) (G_28 (-> tptp.pname Bool))) (= (@ tptp.finite_finite_pname (@ (@ tptp.semila1780557381name_o F_67) G_28)) (and (@ tptp.finite_finite_pname F_67) (@ tptp.finite_finite_pname G_28)))))
% 0.66/1.05 (assert (forall ((A_177 tptp.pname) (B_115 (-> tptp.pname Bool)) (C_53 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_177))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 B_115)) C_53) (@ _let_1 (@ (@ tptp.semila1780557381name_o B_115) C_53))))))
% 0.66/1.05 (assert (forall ((A_177 tptp.com) (B_115 (-> tptp.com Bool)) (C_53 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_177))) (= (@ (@ tptp.semila1562558655_com_o (@ _let_1 B_115)) C_53) (@ _let_1 (@ (@ tptp.semila1562558655_com_o B_115) C_53))))))
% 0.66/1.05 (assert (forall ((A_177 tptp.hoare_1708887482_state) (B_115 (-> tptp.hoare_1708887482_state Bool)) (C_53 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_177))) (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_115)) C_53) (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_115) C_53))))))
% 0.66/1.05 (assert (forall ((A_176 (-> tptp.pname Bool)) (A_175 tptp.pname) (B_114 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_176))) (let ((_let_2 (@ tptp.insert_pname A_175))) (= (@ _let_1 (@ _let_2 B_114)) (@ _let_2 (@ _let_1 B_114)))))))
% 0.66/1.05 (assert (forall ((A_176 (-> tptp.com Bool)) (A_175 tptp.com) (B_114 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.semila1562558655_com_o A_176))) (let ((_let_2 (@ tptp.insert_com A_175))) (= (@ _let_1 (@ _let_2 B_114)) (@ _let_2 (@ _let_1 B_114)))))))
% 0.66/1.05 (assert (forall ((A_176 (-> tptp.hoare_1708887482_state Bool)) (A_175 tptp.hoare_1708887482_state) (B_114 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_176))) (let ((_let_2 (@ tptp.insert528405184_state A_175))) (= (@ _let_1 (@ _let_2 B_114)) (@ _let_2 (@ _let_1 B_114)))))))
% 0.66/1.05 (assert (forall ((B_113 (-> tptp.pname Bool)) (D_5 (-> tptp.pname Bool)) (A_174 (-> tptp.pname Bool)) (C_52 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_174) C_52) (=> (@ (@ tptp.ord_less_eq_pname_o B_113) D_5) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_174) B_113)) (@ (@ tptp.semila1780557381name_o C_52) D_5))))))
% 0.66/1.05 (assert (forall ((B_113 (-> tptp.hoare_1708887482_state Bool)) (D_5 (-> tptp.hoare_1708887482_state Bool)) (A_174 (-> tptp.hoare_1708887482_state Bool)) (C_52 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_174) C_52) (=> (@ (@ tptp.ord_le777019615tate_o B_113) D_5) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_174) B_113)) (@ (@ tptp.semila1122118281tate_o C_52) D_5))))))
% 0.66/1.05 (assert (forall ((B_112 (-> tptp.pname Bool)) (A_173 (-> tptp.pname Bool)) (C_51 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_173) C_51) (=> (@ (@ tptp.ord_less_eq_pname_o B_112) C_51) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_173) B_112)) C_51)))))
% 0.66/1.05 (assert (forall ((B_112 (-> tptp.hoare_1708887482_state Bool)) (A_173 (-> tptp.hoare_1708887482_state Bool)) (C_51 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_173) C_51) (=> (@ (@ tptp.ord_le777019615tate_o B_112) C_51) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_173) B_112)) C_51)))))
% 0.66/1.05 (assert (forall ((B_111 (-> tptp.pname Bool)) (A_172 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_111) A_172) (= (@ (@ tptp.semila1780557381name_o A_172) B_111) A_172))))
% 0.66/1.05 (assert (forall ((B_111 (-> tptp.hoare_1708887482_state Bool)) (A_172 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_111) A_172) (= (@ (@ tptp.semila1122118281tate_o A_172) B_111) A_172))))
% 0.66/1.05 (assert (forall ((A_171 (-> tptp.pname Bool)) (B_110 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_171) B_110) (= (@ (@ tptp.semila1780557381name_o A_171) B_110) B_110))))
% 0.66/1.05 (assert (forall ((A_171 (-> tptp.hoare_1708887482_state Bool)) (B_110 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_171) B_110) (= (@ (@ tptp.semila1122118281tate_o A_171) B_110) B_110))))
% 0.66/1.05 (assert (forall ((A_170 (-> tptp.pname Bool)) (B_109 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o A_170) B_109) (= (@ (@ tptp.semila1780557381name_o A_170) B_109) B_109))))
% 0.66/1.05 (assert (forall ((A_170 (-> tptp.hoare_1708887482_state Bool)) (B_109 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o A_170) B_109) (= (@ (@ tptp.semila1122118281tate_o A_170) B_109) B_109))))
% 0.66/1.05 (assert (forall ((B_108 (-> tptp.pname Bool)) (A_169 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o B_108) (@ (@ tptp.semila1780557381name_o A_169) B_108))))
% 0.66/1.05 (assert (forall ((B_108 (-> tptp.hoare_1708887482_state Bool)) (A_169 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o B_108) (@ (@ tptp.semila1122118281tate_o A_169) B_108))))
% 0.66/1.05 (assert (forall ((A_168 (-> tptp.pname Bool)) (B_107 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o A_168) (@ (@ tptp.semila1780557381name_o A_168) B_107))))
% 0.66/1.05 (assert (forall ((A_168 (-> tptp.hoare_1708887482_state Bool)) (B_107 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o A_168) (@ (@ tptp.semila1122118281tate_o A_168) B_107))))
% 0.66/1.05 (assert (forall ((F_66 (-> tptp.hoare_1708887482_state tptp.pname)) (A_167 (-> tptp.hoare_1708887482_state Bool)) (B_106 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.image_1509414295_pname F_66))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_167) B_106)) (@ (@ tptp.semila1780557381name_o (@ _let_1 A_167)) (@ _let_1 B_106))))))
% 0.66/1.05 (assert (forall ((F_66 (-> tptp.pname tptp.hoare_1708887482_state)) (A_167 (-> tptp.pname Bool)) (B_106 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_66))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o A_167) B_106)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 A_167)) (@ _let_1 B_106))))))
% 0.66/1.05 (assert (forall ((A_166 tptp.pname) (B_105 (-> tptp.pname Bool))) (= (@ (@ tptp.insert_pname A_166) B_105) (@ (@ tptp.semila1780557381name_o (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (= X_3 A_166)))) B_105))))
% 0.66/1.05 (assert (forall ((A_166 tptp.com) (B_105 (-> tptp.com Bool))) (= (@ (@ tptp.insert_com A_166) B_105) (@ (@ tptp.semila1562558655_com_o (@ tptp.collect_com (lambda ((X_3 tptp.com)) (= X_3 A_166)))) B_105))))
% 0.66/1.05 (assert (forall ((A_166 (-> tptp.pname Bool)) (B_105 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.insert_pname_o A_166) B_105) (@ (@ tptp.semila181081674me_o_o (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (= X_3 A_166)))) B_105))))
% 0.66/1.05 (assert (forall ((A_166 (-> tptp.hoare_1708887482_state Bool)) (B_105 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.insert949073679tate_o A_166) B_105) (@ (@ tptp.semila1853742644te_o_o (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (= X_3 A_166)))) B_105))))
% 0.66/1.05 (assert (forall ((A_166 tptp.hoare_1708887482_state) (B_105 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.insert528405184_state A_166) B_105) (@ (@ tptp.semila1122118281tate_o (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (= X_3 A_166)))) B_105))))
% 0.66/1.05 (assert (forall ((A_165 tptp.pname) (A_164 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_165))) (= (@ _let_1 A_164) (@ (@ tptp.semila1780557381name_o (@ _let_1 tptp.bot_bot_pname_o)) A_164)))))
% 0.66/1.05 (assert (forall ((A_165 tptp.com) (A_164 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_165))) (= (@ _let_1 A_164) (@ (@ tptp.semila1562558655_com_o (@ _let_1 tptp.bot_bot_com_o)) A_164)))))
% 0.66/1.05 (assert (forall ((A_165 tptp.hoare_1708887482_state) (A_164 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_165))) (= (@ _let_1 A_164) (@ (@ tptp.semila1122118281tate_o (@ _let_1 tptp.bot_bo19817387tate_o)) A_164)))))
% 0.66/1.05 (assert (forall ((G_27 (-> tptp.hoare_1708887482_state Bool)) (P_30 (-> tptp.pname tptp.state tptp.state Bool)) (Q_21 (-> tptp.pname tptp.state tptp.state Bool)) (Procs_2 (-> tptp.pname Bool))) (=> (@ (@ tptp.hoare_90032982_state (@ (@ tptp.semila1122118281tate_o G_27) (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_30 P_27)) (@ tptp.body_1 P_27)) (@ Q_21 P_27)))) Procs_2))) (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_30 P_27)) (@ tptp.the_com (@ tptp.body P_27))) (@ Q_21 P_27)))) Procs_2)) (@ (@ tptp.hoare_90032982_state G_27) (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_30 P_27)) (@ tptp.body_1 P_27)) (@ Q_21 P_27)))) Procs_2)))))
% 0.66/1.05 (assert (forall ((Z_20 (-> tptp.pname Bool)) (Y_50 (-> tptp.pname Bool)) (X_99 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o Z_20))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_50) X_99) (=> (@ _let_1 Y_50) (@ _let_1 X_99))))))
% 0.66/1.05 (assert (forall ((Z_20 Bool) (Y_50 Bool) (X_99 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o Z_20))) (=> (@ (@ tptp.ord_less_eq_o Y_50) X_99) (=> (@ _let_1 Y_50) (@ _let_1 X_99))))))
% 0.66/1.05 (assert (forall ((Z_20 (-> tptp.hoare_1708887482_state Bool)) (Y_50 (-> tptp.hoare_1708887482_state Bool)) (X_99 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o Z_20))) (=> (@ (@ tptp.ord_le777019615tate_o Y_50) X_99) (=> (@ _let_1 Y_50) (@ _let_1 X_99))))))
% 0.66/1.05 (assert (forall ((Y_49 (-> tptp.pname Bool)) (X_98 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_49) X_98) (=> (@ (@ tptp.ord_less_eq_pname_o X_98) Y_49) (= X_98 Y_49)))))
% 0.66/1.05 (assert (forall ((Y_49 Bool) (X_98 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_49) X_98) (=> (@ (@ tptp.ord_less_eq_o X_98) Y_49) (= X_98 Y_49)))))
% 0.66/1.05 (assert (forall ((Y_49 (-> tptp.hoare_1708887482_state Bool)) (X_98 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_49) X_98) (=> (@ (@ tptp.ord_le777019615tate_o X_98) Y_49) (= X_98 Y_49)))))
% 0.66/1.05 (assert (forall ((Z_19 (-> tptp.pname Bool)) (X_97 (-> tptp.pname Bool)) (Y_48 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_97))) (=> (@ _let_1 Y_48) (=> (@ (@ tptp.ord_less_eq_pname_o Y_48) Z_19) (@ _let_1 Z_19))))))
% 0.66/1.05 (assert (forall ((Z_19 Bool) (X_97 Bool) (Y_48 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_97))) (=> (@ _let_1 Y_48) (=> (@ (@ tptp.ord_less_eq_o Y_48) Z_19) (@ _let_1 Z_19))))))
% 0.66/1.05 (assert (forall ((Z_19 (-> tptp.hoare_1708887482_state Bool)) (X_97 (-> tptp.hoare_1708887482_state Bool)) (Y_48 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_97))) (=> (@ _let_1 Y_48) (=> (@ (@ tptp.ord_le777019615tate_o Y_48) Z_19) (@ _let_1 Z_19))))))
% 0.66/1.05 (assert (forall ((X_96 (-> tptp.pname Bool)) (Y_47 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o X_96) Y_47) (=> (@ (@ tptp.ord_less_eq_pname_o Y_47) X_96) (= X_96 Y_47)))))
% 0.66/1.05 (assert (forall ((X_96 Bool) (Y_47 Bool)) (=> (@ (@ tptp.ord_less_eq_o X_96) Y_47) (=> (@ (@ tptp.ord_less_eq_o Y_47) X_96) (= X_96 Y_47)))))
% 0.66/1.05 (assert (forall ((X_96 (-> tptp.hoare_1708887482_state Bool)) (Y_47 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o X_96) Y_47) (=> (@ (@ tptp.ord_le777019615tate_o Y_47) X_96) (= X_96 Y_47)))))
% 0.66/1.05 (assert (forall ((C_50 (-> tptp.pname Bool)) (B_104 (-> tptp.pname Bool)) (A_163 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_104) A_163) (=> (= B_104 C_50) (@ (@ tptp.ord_less_eq_pname_o C_50) A_163)))))
% 0.66/1.05 (assert (forall ((C_50 Bool) (B_104 Bool) (A_163 Bool)) (=> (@ (@ tptp.ord_less_eq_o B_104) A_163) (=> (= B_104 C_50) (@ (@ tptp.ord_less_eq_o C_50) A_163)))))
% 0.66/1.05 (assert (forall ((C_50 (-> tptp.hoare_1708887482_state Bool)) (B_104 (-> tptp.hoare_1708887482_state Bool)) (A_163 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_104) A_163) (=> (= B_104 C_50) (@ (@ tptp.ord_le777019615tate_o C_50) A_163)))))
% 0.66/1.05 (assert (forall ((C_49 (-> tptp.pname Bool)) (A_162 (-> tptp.pname Bool)) (B_103 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_162))) (=> (@ _let_1 B_103) (=> (= B_103 C_49) (@ _let_1 C_49))))))
% 0.66/1.05 (assert (forall ((C_49 Bool) (A_162 Bool) (B_103 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o A_162))) (=> (@ _let_1 B_103) (=> (= B_103 C_49) (@ _let_1 C_49))))))
% 0.66/1.05 (assert (forall ((C_49 (-> tptp.hoare_1708887482_state Bool)) (A_162 (-> tptp.hoare_1708887482_state Bool)) (B_103 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_162))) (=> (@ _let_1 B_103) (=> (= B_103 C_49) (@ _let_1 C_49))))))
% 0.66/1.05 (assert (forall ((C_48 (-> tptp.pname Bool)) (A_161 (-> tptp.pname Bool)) (B_102 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o C_48))) (=> (= A_161 B_102) (=> (@ _let_1 B_102) (@ _let_1 A_161))))))
% 0.66/1.05 (assert (forall ((C_48 Bool) (B_102 Bool) (A_161 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o C_48))) (=> (= A_161 B_102) (=> (@ _let_1 B_102) (@ _let_1 A_161))))))
% 0.66/1.05 (assert (forall ((C_48 (-> tptp.hoare_1708887482_state Bool)) (A_161 (-> tptp.hoare_1708887482_state Bool)) (B_102 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o C_48))) (=> (= A_161 B_102) (=> (@ _let_1 B_102) (@ _let_1 A_161))))))
% 0.66/1.05 (assert (forall ((C_47 (-> tptp.pname Bool)) (A_160 (-> tptp.pname Bool)) (B_101 (-> tptp.pname Bool))) (=> (= A_160 B_101) (=> (@ (@ tptp.ord_less_eq_pname_o B_101) C_47) (@ (@ tptp.ord_less_eq_pname_o A_160) C_47)))))
% 0.66/1.05 (assert (forall ((C_47 Bool) (B_101 Bool) (A_160 Bool)) (=> (= A_160 B_101) (=> (@ (@ tptp.ord_less_eq_o B_101) C_47) (@ (@ tptp.ord_less_eq_o A_160) C_47)))))
% 0.66/1.05 (assert (forall ((C_47 (-> tptp.hoare_1708887482_state Bool)) (A_160 (-> tptp.hoare_1708887482_state Bool)) (B_101 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_160 B_101) (=> (@ (@ tptp.ord_le777019615tate_o B_101) C_47) (@ (@ tptp.ord_le777019615tate_o A_160) C_47)))))
% 0.66/1.05 (assert (forall ((Y_46 (-> tptp.pname Bool)) (X_95 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_46) X_95) (= (@ (@ tptp.ord_less_eq_pname_o X_95) Y_46) (= X_95 Y_46)))))
% 0.66/1.05 (assert (forall ((Y_46 Bool) (X_95 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_46) X_95) (= (@ (@ tptp.ord_less_eq_o X_95) Y_46) (= X_95 Y_46)))))
% 0.66/1.05 (assert (forall ((Y_46 (-> tptp.hoare_1708887482_state Bool)) (X_95 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_46) X_95) (= (@ (@ tptp.ord_le777019615tate_o X_95) Y_46) (= X_95 Y_46)))))
% 0.66/1.05 (assert (forall ((X_94 (-> tptp.pname Bool)) (Y_45 (-> tptp.pname Bool))) (=> (= X_94 Y_45) (@ (@ tptp.ord_less_eq_pname_o X_94) Y_45))))
% 0.66/1.05 (assert (forall ((Y_45 Bool) (X_94 Bool)) (=> (= X_94 Y_45) (@ (@ tptp.ord_less_eq_o X_94) Y_45))))
% 0.66/1.05 (assert (forall ((X_94 (-> tptp.hoare_1708887482_state Bool)) (Y_45 (-> tptp.hoare_1708887482_state Bool))) (=> (= X_94 Y_45) (@ (@ tptp.ord_le777019615tate_o X_94) Y_45))))
% 0.66/1.05 (assert (forall ((X_93 (-> tptp.pname Bool)) (Y_44 (-> tptp.pname Bool))) (= (= X_93 Y_44) (and (@ (@ tptp.ord_less_eq_pname_o X_93) Y_44) (@ (@ tptp.ord_less_eq_pname_o Y_44) X_93)))))
% 0.66/1.05 (assert (forall ((Y_44 Bool) (X_93 Bool)) (= (= X_93 Y_44) (and (@ (@ tptp.ord_less_eq_o X_93) Y_44) (@ (@ tptp.ord_less_eq_o Y_44) X_93)))))
% 0.66/1.05 (assert (forall ((X_93 (-> tptp.hoare_1708887482_state Bool)) (Y_44 (-> tptp.hoare_1708887482_state Bool))) (= (= X_93 Y_44) (and (@ (@ tptp.ord_le777019615tate_o X_93) Y_44) (@ (@ tptp.ord_le777019615tate_o Y_44) X_93)))))
% 0.66/1.05 (assert (forall ((A_159 tptp.pname) (A_158 tptp.pname)) (= (= (@ tptp.some_pname A_159) (@ tptp.some_pname A_158)) (= A_159 A_158))))
% 0.66/1.05 (assert (forall ((A_159 tptp.hoare_1708887482_state) (A_158 tptp.hoare_1708887482_state)) (= (= (@ tptp.some_H1974565227_state A_159) (@ tptp.some_H1974565227_state A_158)) (= A_159 A_158))))
% 0.66/1.05 (assert (forall ((A_159 tptp.com) (A_158 tptp.com)) (= (= (@ tptp.some_com A_159) (@ tptp.some_com A_158)) (= A_159 A_158))))
% 0.66/1.05 (assert (forall ((G_26 (-> tptp.hoare_1708887482_state Bool)) (P_29 (-> tptp.state tptp.state Bool)) (C_46 tptp.com) (Q_20 (-> tptp.state tptp.state Bool)) (C_45 Bool)) (let ((_let_1 (@ tptp.hoare_90032982_state G_26))) (=> (=> C_45 (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_29) C_46) Q_20)) tptp.bot_bo19817387tate_o))) (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Z_11 tptp.state) (S_2 tptp.state)) (and (@ (@ P_29 Z_11) S_2) C_45))) C_46) Q_20)) tptp.bot_bo19817387tate_o))))))
% 0.66/1.05 (assert (forall ((Pn_2 tptp.pname) (G_25 (-> tptp.hoare_1708887482_state Bool)) (P_28 (-> tptp.pname tptp.state tptp.state Bool)) (Q_19 (-> tptp.pname tptp.state tptp.state Bool)) (Procs_1 (-> tptp.pname Bool))) (=> (@ (@ tptp.hoare_90032982_state (@ (@ tptp.semila1122118281tate_o G_25) (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_28 P_27)) (@ tptp.body_1 P_27)) (@ Q_19 P_27)))) Procs_1))) (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_28 P_27)) (@ tptp.the_com (@ tptp.body P_27))) (@ Q_19 P_27)))) Procs_1)) (=> (@ (@ tptp.member_pname Pn_2) Procs_1) (@ (@ tptp.hoare_90032982_state G_25) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_28 Pn_2)) (@ tptp.body_1 Pn_2)) (@ Q_19 Pn_2))) tptp.bot_bo19817387tate_o))))))
% 0.66/1.05 (assert (forall ((A_157 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_157) tptp.bot_bot_pname_o) (= A_157 tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((A_157 (-> tptp.com Bool))) (=> (@ (@ tptp.ord_less_eq_com_o A_157) tptp.bot_bot_com_o) (= A_157 tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_157 Bool)) (=> (@ (@ tptp.ord_less_eq_o A_157) tptp.bot_bot_o) (= A_157 tptp.bot_bot_o))))
% 0.66/1.05 (assert (forall ((A_157 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_157) tptp.bot_bo19817387tate_o) (= A_157 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((A_156 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o A_156) tptp.bot_bot_pname_o) (= A_156 tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((A_156 (-> tptp.com Bool))) (= (@ (@ tptp.ord_less_eq_com_o A_156) tptp.bot_bot_com_o) (= A_156 tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_156 Bool)) (= (@ (@ tptp.ord_less_eq_o A_156) tptp.bot_bot_o) (= A_156 tptp.bot_bot_o))))
% 0.66/1.05 (assert (forall ((A_156 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o A_156) tptp.bot_bo19817387tate_o) (= A_156 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((A_155 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o tptp.bot_bot_pname_o) A_155)))
% 0.66/1.05 (assert (forall ((A_155 (-> tptp.com Bool))) (@ (@ tptp.ord_less_eq_com_o tptp.bot_bot_com_o) A_155)))
% 0.66/1.05 (assert (forall ((A_155 Bool)) (@ (@ tptp.ord_less_eq_o tptp.bot_bot_o) A_155)))
% 0.66/1.05 (assert (forall ((A_155 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o tptp.bot_bo19817387tate_o) A_155)))
% 0.66/1.05 (assert (forall ((X_92 tptp.pname) (F_65 (-> tptp.pname Bool)) (G_24 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o F_65) G_24) (@ (@ tptp.ord_less_eq_o (@ F_65 X_92)) (@ G_24 X_92)))))
% 0.66/1.05 (assert (forall ((X_92 tptp.hoare_1708887482_state) (F_65 (-> tptp.hoare_1708887482_state Bool)) (G_24 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o F_65) G_24) (@ (@ tptp.ord_less_eq_o (@ F_65 X_92)) (@ G_24 X_92)))))
% 0.66/1.05 (assert (forall ((X_91 tptp.pname) (F_64 (-> tptp.pname Bool)) (G_23 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o F_64) G_23) (@ (@ tptp.ord_less_eq_o (@ F_64 X_91)) (@ G_23 X_91)))))
% 0.66/1.05 (assert (forall ((X_91 tptp.hoare_1708887482_state) (F_64 (-> tptp.hoare_1708887482_state Bool)) (G_23 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o F_64) G_23) (@ (@ tptp.ord_less_eq_o (@ F_64 X_91)) (@ G_23 X_91)))))
% 0.66/1.05 (assert (forall ((F_63 (-> tptp.pname Bool)) (G_22 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o F_63) G_22) (forall ((X_3 tptp.pname)) (@ (@ tptp.ord_less_eq_o (@ F_63 X_3)) (@ G_22 X_3))))))
% 0.66/1.05 (assert (forall ((F_63 (-> tptp.hoare_1708887482_state Bool)) (G_22 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o F_63) G_22) (forall ((X_3 tptp.hoare_1708887482_state)) (@ (@ tptp.ord_less_eq_o (@ F_63 X_3)) (@ G_22 X_3))))))
% 0.66/1.05 (assert (forall ((X_90 tptp.pname)) (= (@ tptp.bot_bot_pname_o X_90) tptp.bot_bot_o)))
% 0.66/1.05 (assert (forall ((X_90 tptp.com)) (= (@ tptp.bot_bot_com_o X_90) tptp.bot_bot_o)))
% 0.66/1.05 (assert (forall ((X_90 tptp.hoare_1708887482_state)) (= (@ tptp.bot_bo19817387tate_o X_90) tptp.bot_bot_o)))
% 0.66/1.05 (assert (forall ((X_3 tptp.pname)) (= (@ tptp.bot_bot_pname_o X_3) tptp.bot_bot_o)))
% 0.66/1.05 (assert (forall ((X_3 tptp.com)) (= (@ tptp.bot_bot_com_o X_3) tptp.bot_bot_o)))
% 0.66/1.05 (assert (forall ((X_3 tptp.hoare_1708887482_state)) (= (@ tptp.bot_bo19817387tate_o X_3) tptp.bot_bot_o)))
% 0.66/1.05 (assert (forall ((P_26 (-> (-> tptp.pname Bool) tptp.state tptp.state Bool)) (Q_18 (-> (-> tptp.pname Bool) tptp.state tptp.state Bool)) (G_21 (-> tptp.hoare_1708887482_state Bool)) (P_25 (-> (-> tptp.pname Bool) tptp.state tptp.state Bool)) (C0_1 (-> (-> tptp.pname Bool) tptp.com)) (Q_17 (-> (-> tptp.pname Bool) tptp.state tptp.state Bool)) (U_1 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_21))) (=> (@ tptp.finite297249702name_o U_1) (=> (forall ((P_27 (-> tptp.pname Bool))) (let ((_let_1 (@ C0_1 P_27))) (let ((_let_2 (@ tptp.hoare_90032982_state G_21))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) _let_1) (@ Q_17 P_27))) tptp.bot_bo19817387tate_o)) (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) _let_1) (@ Q_18 P_27))) tptp.bot_bo19817387tate_o)))))) (=> (@ _let_1 (@ (@ tptp.image_1922967206_state (lambda ((P_27 (-> tptp.pname Bool))) (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) (@ C0_1 P_27)) (@ Q_17 P_27)))) U_1)) (@ _let_1 (@ (@ tptp.image_1922967206_state (lambda ((P_27 (-> tptp.pname Bool))) (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) (@ C0_1 P_27)) (@ Q_18 P_27)))) U_1))))))))
% 0.66/1.05 (assert (forall ((P_26 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (Q_18 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (G_21 (-> tptp.hoare_1708887482_state Bool)) (P_25 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (C0_1 (-> (-> tptp.hoare_1708887482_state Bool) tptp.com)) (Q_17 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (U_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_21))) (=> (@ tptp.finite1329924456tate_o U_1) (=> (forall ((P_27 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ C0_1 P_27))) (let ((_let_2 (@ tptp.hoare_90032982_state G_21))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) _let_1) (@ Q_17 P_27))) tptp.bot_bo19817387tate_o)) (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) _let_1) (@ Q_18 P_27))) tptp.bot_bo19817387tate_o)))))) (=> (@ _let_1 (@ (@ tptp.image_27005066_state (lambda ((P_27 (-> tptp.hoare_1708887482_state Bool))) (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) (@ C0_1 P_27)) (@ Q_17 P_27)))) U_1)) (@ _let_1 (@ (@ tptp.image_27005066_state (lambda ((P_27 (-> tptp.hoare_1708887482_state Bool))) (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) (@ C0_1 P_27)) (@ Q_18 P_27)))) U_1))))))))
% 0.66/1.05 (assert (forall ((P_26 (-> tptp.pname tptp.state tptp.state Bool)) (Q_18 (-> tptp.pname tptp.state tptp.state Bool)) (G_21 (-> tptp.hoare_1708887482_state Bool)) (P_25 (-> tptp.pname tptp.state tptp.state Bool)) (C0_1 (-> tptp.pname tptp.com)) (Q_17 (-> tptp.pname tptp.state tptp.state Bool)) (U_1 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_21))) (=> (@ tptp.finite_finite_pname U_1) (=> (forall ((P_27 tptp.pname)) (let ((_let_1 (@ C0_1 P_27))) (let ((_let_2 (@ tptp.hoare_90032982_state G_21))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) _let_1) (@ Q_17 P_27))) tptp.bot_bo19817387tate_o)) (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) _let_1) (@ Q_18 P_27))) tptp.bot_bo19817387tate_o)))))) (=> (@ _let_1 (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) (@ C0_1 P_27)) (@ Q_17 P_27)))) U_1)) (@ _let_1 (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) (@ C0_1 P_27)) (@ Q_18 P_27)))) U_1))))))))
% 0.66/1.05 (assert (forall ((G_20 (-> tptp.hoare_1708887482_state Bool)) (C_44 tptp.com) (Q_16 (-> tptp.state tptp.state Bool)) (P_24 (-> tptp.state tptp.state Bool))) (=> (forall ((Z_11 tptp.state) (S_2 tptp.state)) (=> (@ (@ P_24 Z_11) S_2) (@ (@ tptp.hoare_90032982_state G_20) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Za tptp.state) (S_3 tptp.state)) (= S_3 S_2))) C_44) (lambda ((Z_12 tptp.state) (__flatten_var_0 tptp.state)) (@ (@ Q_16 Z_11) __flatten_var_0)))) tptp.bot_bo19817387tate_o)))) (@ (@ tptp.hoare_90032982_state G_20) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_24) C_44) Q_16)) tptp.bot_bo19817387tate_o)))))
% 0.66/1.05 (assert (forall ((G_19 (-> tptp.hoare_1708887482_state Bool)) (P_23 (-> tptp.pname tptp.state tptp.state Bool)) (Q_15 (-> tptp.pname tptp.state tptp.state Bool)) (Procs (-> tptp.pname Bool))) (=> (@ (@ tptp.hoare_496444244_state (@ (@ tptp.semila1122118281tate_o G_19) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_23 Pn)) (@ tptp.body_1 Pn)) (@ Q_15 Pn)))) Procs))) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_23 Pn)) (@ tptp.the_com (@ tptp.body Pn))) (@ Q_15 Pn)))) Procs)) (@ (@ tptp.hoare_496444244_state G_19) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_23 Pn)) (@ tptp.body_1 Pn)) (@ Q_15 Pn)))) Procs)))))
% 0.66/1.05 (assert (forall ((P_22 (-> tptp.state tptp.state Bool)) (G_18 (-> tptp.hoare_1708887482_state Bool)) (P_21 (-> tptp.state tptp.state Bool)) (C_43 tptp.com) (Q_14 (-> tptp.state tptp.state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_18))) (=> (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_21) C_43) Q_14)) tptp.bot_bo19817387tate_o)) (=> (forall ((Z_11 tptp.state) (S_2 tptp.state)) (=> (@ (@ P_22 Z_11) S_2) (@ (@ P_21 Z_11) S_2))) (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_22) C_43) Q_14)) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((Q_13 (-> tptp.state tptp.state Bool)) (G_17 (-> tptp.hoare_1708887482_state Bool)) (P_20 (-> tptp.state tptp.state Bool)) (C_42 tptp.com) (Q_12 (-> tptp.state tptp.state Bool))) (let ((_let_1 (@ (@ tptp.hoare_858012674_state P_20) C_42))) (let ((_let_2 (@ tptp.hoare_90032982_state G_17))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ _let_1 Q_12)) tptp.bot_bo19817387tate_o)) (=> (forall ((Z_11 tptp.state) (S_2 tptp.state)) (=> (@ (@ Q_12 Z_11) S_2) (@ (@ Q_13 Z_11) S_2))) (@ _let_2 (@ (@ tptp.insert528405184_state (@ _let_1 Q_13)) tptp.bot_bo19817387tate_o))))))))
% 0.66/1.05 (assert (forall ((P (-> tptp.state tptp.state Bool)) (Q_11 (-> tptp.state tptp.state Bool)) (C_34 tptp.com)) (let ((_let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P) C_34) Q_11)) tptp.bot_bo19817387tate_o))) (let ((_let_2 (@ tptp.hoare_90032982_state tptp.bot_bo19817387tate_o))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)) (=> (@ (@ tptp.hoare_496444244_state tptp.bot_bo19817387tate_o) _let_1) (@ _let_2 _let_1)))))))
% 0.66/1.05 (assert (forall ((A_154 (-> tptp.pname Bool)) (B_100 (-> tptp.pname Bool)) (X_89 tptp.pname)) (=> (@ (@ (@ tptp.semila1780557381name_o A_154) B_100) X_89) (=> (not (@ A_154 X_89)) (@ B_100 X_89)))))
% 0.66/1.05 (assert (forall ((A_154 (-> tptp.hoare_1708887482_state Bool)) (B_100 (-> tptp.hoare_1708887482_state Bool)) (X_89 tptp.hoare_1708887482_state)) (=> (@ (@ (@ tptp.semila1122118281tate_o A_154) B_100) X_89) (=> (not (@ A_154 X_89)) (@ B_100 X_89)))))
% 0.66/1.05 (assert (forall ((A_153 (-> tptp.pname Bool)) (B_99 (-> tptp.pname Bool)) (X_88 tptp.pname)) (=> (=> (not (@ B_99 X_88)) (@ A_153 X_88)) (@ (@ (@ tptp.semila1780557381name_o A_153) B_99) X_88))))
% 0.66/1.05 (assert (forall ((A_153 (-> tptp.hoare_1708887482_state Bool)) (B_99 (-> tptp.hoare_1708887482_state Bool)) (X_88 tptp.hoare_1708887482_state)) (=> (=> (not (@ B_99 X_88)) (@ A_153 X_88)) (@ (@ (@ tptp.semila1122118281tate_o A_153) B_99) X_88))))
% 0.66/1.05 (assert (forall ((Q_10 (-> tptp.state tptp.state Bool)) (P_19 (-> tptp.state tptp.state Bool)) (G_16 (-> tptp.hoare_1708887482_state Bool)) (P_18 (-> tptp.state tptp.state Bool)) (C_41 tptp.com) (Q_9 (-> tptp.state tptp.state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_16))) (=> (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_18) C_41) Q_9)) tptp.bot_bo19817387tate_o)) (=> (forall ((Z_11 tptp.state) (S_2 tptp.state)) (=> (@ (@ P_19 Z_11) S_2) (forall ((S_3 tptp.state)) (=> (forall ((Z_12 tptp.state)) (=> (@ (@ P_18 Z_12) S_2) (@ (@ Q_9 Z_12) S_3))) (@ (@ Q_10 Z_11) S_3))))) (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_19) C_41) Q_10)) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((G_15 (-> tptp.hoare_1708887482_state Bool)) (Ts (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.hoare_90032982_state G_15) Ts) (@ (@ tptp.hoare_496444244_state G_15) Ts))))
% 0.66/1.05 (assert (forall ((X_3 tptp.com)) (= (@ tptp.bot_bot_com_o X_3) (@ (@ tptp.member_com X_3) tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((X_3 tptp.hoare_1708887482_state)) (= (@ tptp.bot_bo19817387tate_o X_3) (@ (@ tptp.member451959335_state X_3) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((X_3 tptp.pname)) (= (@ tptp.bot_bot_pname_o X_3) (@ (@ tptp.member_pname X_3) tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((Q_8 (-> tptp.pname Bool)) (P_17 (-> tptp.pname Bool)) (X_87 tptp.pname)) (=> (@ P_17 X_87) (=> (@ (@ tptp.ord_less_eq_pname_o P_17) Q_8) (@ Q_8 X_87)))))
% 0.66/1.05 (assert (forall ((Q_8 (-> tptp.hoare_1708887482_state Bool)) (P_17 (-> tptp.hoare_1708887482_state Bool)) (X_87 tptp.hoare_1708887482_state)) (=> (@ P_17 X_87) (=> (@ (@ tptp.ord_le777019615tate_o P_17) Q_8) (@ Q_8 X_87)))))
% 0.66/1.05 (assert (forall ((X_86 tptp.pname) (P_16 (-> tptp.pname Bool)) (Q_7 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o P_16) Q_7) (=> (@ P_16 X_86) (@ Q_7 X_86)))))
% 0.66/1.05 (assert (forall ((X_86 tptp.hoare_1708887482_state) (P_16 (-> tptp.hoare_1708887482_state Bool)) (Q_7 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o P_16) Q_7) (=> (@ P_16 X_86) (@ Q_7 X_86)))))
% 0.66/1.05 (assert (forall ((A_152 (-> tptp.pname Bool)) (B_98 (-> tptp.pname Bool)) (X_85 tptp.pname)) (=> (@ B_98 X_85) (@ (@ (@ tptp.semila1780557381name_o A_152) B_98) X_85))))
% 0.66/1.05 (assert (forall ((A_152 (-> tptp.hoare_1708887482_state Bool)) (B_98 (-> tptp.hoare_1708887482_state Bool)) (X_85 tptp.hoare_1708887482_state)) (=> (@ B_98 X_85) (@ (@ (@ tptp.semila1122118281tate_o A_152) B_98) X_85))))
% 0.66/1.05 (assert (forall ((B_97 (-> tptp.pname Bool)) (A_151 (-> tptp.pname Bool)) (X_84 tptp.pname)) (=> (@ A_151 X_84) (@ (@ (@ tptp.semila1780557381name_o A_151) B_97) X_84))))
% 0.66/1.05 (assert (forall ((B_97 (-> tptp.hoare_1708887482_state Bool)) (A_151 (-> tptp.hoare_1708887482_state Bool)) (X_84 tptp.hoare_1708887482_state)) (=> (@ A_151 X_84) (@ (@ (@ tptp.semila1122118281tate_o A_151) B_97) X_84))))
% 0.66/1.05 (assert (forall ((R_3 (-> tptp.com Bool)) (S_6 (-> tptp.com Bool))) (= (@ (@ tptp.ord_less_eq_com_o (lambda ((X_3 tptp.com)) (@ (@ tptp.member_com X_3) R_3))) (lambda ((X_3 tptp.com)) (@ (@ tptp.member_com X_3) S_6))) (@ (@ tptp.ord_less_eq_com_o R_3) S_6))))
% 0.66/1.05 (assert (forall ((R_3 (-> tptp.hoare_1708887482_state Bool)) (S_6 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o (lambda ((X_3 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state X_3) R_3))) (lambda ((X_3 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state X_3) S_6))) (@ (@ tptp.ord_le777019615tate_o R_3) S_6))))
% 0.66/1.05 (assert (forall ((R_3 (-> tptp.pname Bool)) (S_6 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o (lambda ((X_3 tptp.pname)) (@ (@ tptp.member_pname X_3) R_3))) (lambda ((X_3 tptp.pname)) (@ (@ tptp.member_pname X_3) S_6))) (@ (@ tptp.ord_less_eq_pname_o R_3) S_6))))
% 0.66/1.05 (assert (forall ((R_2 (-> tptp.com Bool)) (S_5 (-> tptp.com Bool)) (X_3 tptp.com)) (= (@ (@ (@ tptp.semila1562558655_com_o (lambda ((Y_4 tptp.com)) (@ (@ tptp.member_com Y_4) R_2))) (lambda ((Y_4 tptp.com)) (@ (@ tptp.member_com Y_4) S_5))) X_3) (@ (@ tptp.member_com X_3) (@ (@ tptp.semila1562558655_com_o R_2) S_5)))))
% 0.66/1.05 (assert (forall ((R_2 (-> tptp.hoare_1708887482_state Bool)) (S_5 (-> tptp.hoare_1708887482_state Bool)) (X_3 tptp.hoare_1708887482_state)) (= (@ (@ (@ tptp.semila1122118281tate_o (lambda ((Y_4 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state Y_4) R_2))) (lambda ((Y_4 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state Y_4) S_5))) X_3) (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.semila1122118281tate_o R_2) S_5)))))
% 0.66/1.05 (assert (forall ((R_2 (-> tptp.pname Bool)) (S_5 (-> tptp.pname Bool)) (X_3 tptp.pname)) (= (@ (@ (@ tptp.semila1780557381name_o (lambda ((Y_4 tptp.pname)) (@ (@ tptp.member_pname Y_4) R_2))) (lambda ((Y_4 tptp.pname)) (@ (@ tptp.member_pname Y_4) S_5))) X_3) (@ (@ tptp.member_pname X_3) (@ (@ tptp.semila1780557381name_o R_2) S_5)))))
% 0.66/1.05 (assert (forall ((F_62 (-> tptp.pname Bool)) (G_14 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (@ (@ tptp.ord_less_eq_o (@ F_62 X_3)) (@ G_14 X_3))) (@ (@ tptp.ord_less_eq_pname_o F_62) G_14))))
% 0.66/1.05 (assert (forall ((F_62 (-> tptp.hoare_1708887482_state Bool)) (G_14 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (@ (@ tptp.ord_less_eq_o (@ F_62 X_3)) (@ G_14 X_3))) (@ (@ tptp.ord_le777019615tate_o F_62) G_14))))
% 0.66/1.05 (assert (forall ((X_83 tptp.pname)) (= (@ tptp.set_pname (@ tptp.some_pname X_83)) (@ (@ tptp.insert_pname X_83) tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((X_83 tptp.com)) (= (@ tptp.set_com (@ tptp.some_com X_83)) (@ (@ tptp.insert_com X_83) tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((X_83 tptp.hoare_1708887482_state)) (= (@ tptp.set_Ho525251890_state (@ tptp.some_H1974565227_state X_83)) (@ (@ tptp.insert528405184_state X_83) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((F_61 (-> tptp.pname Bool)) (G_13 (-> tptp.pname Bool)) (X_82 tptp.pname)) (= (@ (@ (@ tptp.semila1780557381name_o F_61) G_13) X_82) (@ (@ tptp.semila10642723_sup_o (@ F_61 X_82)) (@ G_13 X_82)))))
% 0.66/1.05 (assert (forall ((F_61 (-> tptp.hoare_1708887482_state Bool)) (G_13 (-> tptp.hoare_1708887482_state Bool)) (X_82 tptp.hoare_1708887482_state)) (= (@ (@ (@ tptp.semila1122118281tate_o F_61) G_13) X_82) (@ (@ tptp.semila10642723_sup_o (@ F_61 X_82)) (@ G_13 X_82)))))
% 0.66/1.05 (assert (forall ((F_60 (-> tptp.pname Bool)) (G_12 (-> tptp.pname Bool)) (X_3 tptp.pname)) (= (@ (@ (@ tptp.semila1780557381name_o F_60) G_12) X_3) (@ (@ tptp.semila10642723_sup_o (@ F_60 X_3)) (@ G_12 X_3)))))
% 0.66/1.05 (assert (forall ((F_60 (-> tptp.hoare_1708887482_state Bool)) (G_12 (-> tptp.hoare_1708887482_state Bool)) (X_3 tptp.hoare_1708887482_state)) (= (@ (@ (@ tptp.semila1122118281tate_o F_60) G_12) X_3) (@ (@ tptp.semila10642723_sup_o (@ F_60 X_3)) (@ G_12 X_3)))))
% 0.66/1.05 (assert (=> tptp.hoare_1160767572gleton (forall ((T_1 tptp.state)) (not (forall ((S_2 tptp.state)) (= S_2 T_1))))))
% 0.66/1.05 (assert (forall ((X_81 (-> tptp.pname Bool)) (Y_43 (-> tptp.pname Bool))) (= (= (@ (@ tptp.semila1780557381name_o X_81) Y_43) tptp.bot_bot_pname_o) (and (= X_81 tptp.bot_bot_pname_o) (= Y_43 tptp.bot_bot_pname_o)))))
% 0.66/1.05 (assert (forall ((X_81 (-> tptp.com Bool)) (Y_43 (-> tptp.com Bool))) (= (= (@ (@ tptp.semila1562558655_com_o X_81) Y_43) tptp.bot_bot_com_o) (and (= X_81 tptp.bot_bot_com_o) (= Y_43 tptp.bot_bot_com_o)))))
% 0.66/1.05 (assert (forall ((X_81 Bool) (Y_43 Bool)) (= (= (@ (@ tptp.semila10642723_sup_o X_81) Y_43) tptp.bot_bot_o) (and (= X_81 tptp.bot_bot_o) (= Y_43 tptp.bot_bot_o)))))
% 0.66/1.05 (assert (forall ((X_81 (-> tptp.hoare_1708887482_state Bool)) (Y_43 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.semila1122118281tate_o X_81) Y_43) tptp.bot_bo19817387tate_o) (and (= X_81 tptp.bot_bo19817387tate_o) (= Y_43 tptp.bot_bo19817387tate_o)))))
% 0.66/1.05 (assert (forall ((X_80 tptp.com) (Xo_1 tptp.option_com)) (= (@ (@ tptp.member_com X_80) (@ tptp.set_com Xo_1)) (= Xo_1 (@ tptp.some_com X_80)))))
% 0.66/1.05 (assert (forall ((X_80 tptp.hoare_1708887482_state) (Xo_1 tptp.option1624383643_state)) (= (@ (@ tptp.member451959335_state X_80) (@ tptp.set_Ho525251890_state Xo_1)) (= Xo_1 (@ tptp.some_H1974565227_state X_80)))))
% 0.66/1.05 (assert (forall ((X_80 tptp.pname) (Xo_1 tptp.option_pname)) (= (@ (@ tptp.member_pname X_80) (@ tptp.set_pname Xo_1)) (= Xo_1 (@ tptp.some_pname X_80)))))
% 0.66/1.05 (assert (forall ((A_150 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_150) A_150) A_150)))
% 0.66/1.05 (assert (forall ((A_150 Bool)) (= (@ (@ tptp.semila10642723_sup_o A_150) A_150) A_150)))
% 0.66/1.05 (assert (forall ((A_150 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_150) A_150) A_150)))
% 0.66/1.05 (assert (forall ((X_79 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o X_79) X_79) X_79)))
% 0.66/1.05 (assert (forall ((X_79 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_79) X_79) X_79)))
% 0.66/1.05 (assert (forall ((X_79 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_79) X_79) X_79)))
% 0.66/1.05 (assert (forall ((A_149 (-> tptp.pname Bool)) (B_96 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_149) B_96) (@ (@ tptp.semila1780557381name_o B_96) A_149))))
% 0.66/1.05 (assert (forall ((A_149 Bool) (B_96 Bool)) (= (@ (@ tptp.semila10642723_sup_o A_149) B_96) (@ (@ tptp.semila10642723_sup_o B_96) A_149))))
% 0.66/1.05 (assert (forall ((A_149 (-> tptp.hoare_1708887482_state Bool)) (B_96 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_149) B_96) (@ (@ tptp.semila1122118281tate_o B_96) A_149))))
% 0.66/1.05 (assert (forall ((X_78 (-> tptp.pname Bool)) (Y_42 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o X_78) Y_42) (@ (@ tptp.semila1780557381name_o Y_42) X_78))))
% 0.66/1.05 (assert (forall ((X_78 Bool) (Y_42 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_78) Y_42) (@ (@ tptp.semila10642723_sup_o Y_42) X_78))))
% 0.66/1.05 (assert (forall ((X_78 (-> tptp.hoare_1708887482_state Bool)) (Y_42 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_78) Y_42) (@ (@ tptp.semila1122118281tate_o Y_42) X_78))))
% 0.66/1.05 (assert (forall ((X_77 (-> tptp.pname Bool)) (Y_41 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o X_77) Y_41) (@ (@ tptp.semila1780557381name_o Y_41) X_77))))
% 0.66/1.05 (assert (forall ((X_77 Bool) (Y_41 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_77) Y_41) (@ (@ tptp.semila10642723_sup_o Y_41) X_77))))
% 0.66/1.05 (assert (forall ((X_77 (-> tptp.hoare_1708887482_state Bool)) (Y_41 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_77) Y_41) (@ (@ tptp.semila1122118281tate_o Y_41) X_77))))
% 0.66/1.05 (assert (forall ((A_148 (-> tptp.pname Bool)) (B_95 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_148))) (let ((_let_2 (@ _let_1 B_95))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((A_148 Bool) (B_95 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o A_148))) (let ((_let_2 (@ _let_1 B_95))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((A_148 (-> tptp.hoare_1708887482_state Bool)) (B_95 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_148))) (let ((_let_2 (@ _let_1 B_95))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((X_76 (-> tptp.pname Bool)) (Y_40 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_76))) (let ((_let_2 (@ _let_1 Y_40))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((X_76 Bool) (Y_40 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_76))) (let ((_let_2 (@ _let_1 Y_40))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((X_76 (-> tptp.hoare_1708887482_state Bool)) (Y_40 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_76))) (let ((_let_2 (@ _let_1 Y_40))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((X_75 (-> tptp.pname Bool)) (Y_39 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_75))) (let ((_let_2 (@ _let_1 Y_39))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((X_75 Bool) (Y_39 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_75))) (let ((_let_2 (@ _let_1 Y_39))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((X_75 (-> tptp.hoare_1708887482_state Bool)) (Y_39 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_75))) (let ((_let_2 (@ _let_1 Y_39))) (= (@ _let_1 _let_2) _let_2)))))
% 0.66/1.05 (assert (forall ((B_94 (-> tptp.pname Bool)) (A_147 (-> tptp.pname Bool)) (C_40 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o B_94))) (let ((_let_2 (@ tptp.semila1780557381name_o A_147))) (= (@ _let_1 (@ _let_2 C_40)) (@ _let_2 (@ _let_1 C_40)))))))
% 0.66/1.05 (assert (forall ((B_94 Bool) (A_147 Bool) (C_40 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o B_94))) (let ((_let_2 (@ tptp.semila10642723_sup_o A_147))) (= (@ _let_1 (@ _let_2 C_40)) (@ _let_2 (@ _let_1 C_40)))))))
% 0.66/1.05 (assert (forall ((B_94 (-> tptp.hoare_1708887482_state Bool)) (A_147 (-> tptp.hoare_1708887482_state Bool)) (C_40 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o B_94))) (let ((_let_2 (@ tptp.semila1122118281tate_o A_147))) (= (@ _let_1 (@ _let_2 C_40)) (@ _let_2 (@ _let_1 C_40)))))))
% 0.66/1.05 (assert (forall ((X_74 (-> tptp.pname Bool)) (Y_38 (-> tptp.pname Bool)) (Z_18 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_74))) (let ((_let_2 (@ tptp.semila1780557381name_o Y_38))) (= (@ _let_1 (@ _let_2 Z_18)) (@ _let_2 (@ _let_1 Z_18)))))))
% 0.66/1.05 (assert (forall ((X_74 Bool) (Y_38 Bool) (Z_18 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_74))) (let ((_let_2 (@ tptp.semila10642723_sup_o Y_38))) (= (@ _let_1 (@ _let_2 Z_18)) (@ _let_2 (@ _let_1 Z_18)))))))
% 0.66/1.05 (assert (forall ((X_74 (-> tptp.hoare_1708887482_state Bool)) (Y_38 (-> tptp.hoare_1708887482_state Bool)) (Z_18 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_74))) (let ((_let_2 (@ tptp.semila1122118281tate_o Y_38))) (= (@ _let_1 (@ _let_2 Z_18)) (@ _let_2 (@ _let_1 Z_18)))))))
% 0.66/1.05 (assert (forall ((X_73 (-> tptp.pname Bool)) (Y_37 (-> tptp.pname Bool)) (Z_17 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_73))) (let ((_let_2 (@ tptp.semila1780557381name_o Y_37))) (= (@ _let_1 (@ _let_2 Z_17)) (@ _let_2 (@ _let_1 Z_17)))))))
% 0.66/1.05 (assert (forall ((X_73 Bool) (Y_37 Bool) (Z_17 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_73))) (let ((_let_2 (@ tptp.semila10642723_sup_o Y_37))) (= (@ _let_1 (@ _let_2 Z_17)) (@ _let_2 (@ _let_1 Z_17)))))))
% 0.66/1.05 (assert (forall ((X_73 (-> tptp.hoare_1708887482_state Bool)) (Y_37 (-> tptp.hoare_1708887482_state Bool)) (Z_17 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_73))) (let ((_let_2 (@ tptp.semila1122118281tate_o Y_37))) (= (@ _let_1 (@ _let_2 Z_17)) (@ _let_2 (@ _let_1 Z_17)))))))
% 0.66/1.05 (assert (forall ((A_146 (-> tptp.pname Bool)) (B_93 (-> tptp.pname Bool)) (C_39 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_146))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 B_93)) C_39) (@ _let_1 (@ (@ tptp.semila1780557381name_o B_93) C_39))))))
% 0.66/1.05 (assert (forall ((A_146 Bool) (B_93 Bool) (C_39 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o A_146))) (= (@ (@ tptp.semila10642723_sup_o (@ _let_1 B_93)) C_39) (@ _let_1 (@ (@ tptp.semila10642723_sup_o B_93) C_39))))))
% 0.66/1.05 (assert (forall ((A_146 (-> tptp.hoare_1708887482_state Bool)) (B_93 (-> tptp.hoare_1708887482_state Bool)) (C_39 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_146))) (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_93)) C_39) (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_93) C_39))))))
% 0.66/1.05 (assert (forall ((X_72 (-> tptp.pname Bool)) (Y_36 (-> tptp.pname Bool)) (Z_16 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_72))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_36)) Z_16) (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_36) Z_16))))))
% 0.66/1.05 (assert (forall ((X_72 Bool) (Y_36 Bool) (Z_16 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_72))) (= (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_36)) Z_16) (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_36) Z_16))))))
% 0.66/1.05 (assert (forall ((X_72 (-> tptp.hoare_1708887482_state Bool)) (Y_36 (-> tptp.hoare_1708887482_state Bool)) (Z_16 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_72))) (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_36)) Z_16) (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_36) Z_16))))))
% 0.66/1.05 (assert (forall ((X_71 (-> tptp.pname Bool)) (Y_35 (-> tptp.pname Bool)) (Z_15 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_71))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_35)) Z_15) (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_35) Z_15))))))
% 0.66/1.05 (assert (forall ((X_71 Bool) (Y_35 Bool) (Z_15 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_71))) (= (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_35)) Z_15) (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_35) Z_15))))))
% 0.66/1.05 (assert (forall ((X_71 (-> tptp.hoare_1708887482_state Bool)) (Y_35 (-> tptp.hoare_1708887482_state Bool)) (Z_15 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_71))) (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_35)) Z_15) (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_35) Z_15))))))
% 0.66/1.05 (assert (forall ((X_70 (-> tptp.pname Bool)) (Y_34 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o X_70) (@ (@ tptp.semila1780557381name_o X_70) Y_34))))
% 0.66/1.05 (assert (forall ((X_70 Bool) (Y_34 Bool)) (@ (@ tptp.ord_less_eq_o X_70) (@ (@ tptp.semila10642723_sup_o X_70) Y_34))))
% 0.66/1.05 (assert (forall ((X_70 (-> tptp.hoare_1708887482_state Bool)) (Y_34 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o X_70) (@ (@ tptp.semila1122118281tate_o X_70) Y_34))))
% 0.66/1.05 (assert (forall ((X_69 (-> tptp.pname Bool)) (Y_33 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o X_69) (@ (@ tptp.semila1780557381name_o X_69) Y_33))))
% 0.66/1.05 (assert (forall ((X_69 Bool) (Y_33 Bool)) (@ (@ tptp.ord_less_eq_o X_69) (@ (@ tptp.semila10642723_sup_o X_69) Y_33))))
% 0.66/1.05 (assert (forall ((X_69 (-> tptp.hoare_1708887482_state Bool)) (Y_33 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o X_69) (@ (@ tptp.semila1122118281tate_o X_69) Y_33))))
% 0.66/1.05 (assert (forall ((Y_32 (-> tptp.pname Bool)) (X_68 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o Y_32) (@ (@ tptp.semila1780557381name_o X_68) Y_32))))
% 0.66/1.05 (assert (forall ((Y_32 Bool) (X_68 Bool)) (@ (@ tptp.ord_less_eq_o Y_32) (@ (@ tptp.semila10642723_sup_o X_68) Y_32))))
% 0.66/1.05 (assert (forall ((Y_32 (-> tptp.hoare_1708887482_state Bool)) (X_68 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o Y_32) (@ (@ tptp.semila1122118281tate_o X_68) Y_32))))
% 0.66/1.05 (assert (forall ((Y_31 (-> tptp.pname Bool)) (X_67 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o Y_31) (@ (@ tptp.semila1780557381name_o X_67) Y_31))))
% 0.66/1.05 (assert (forall ((Y_31 Bool) (X_67 Bool)) (@ (@ tptp.ord_less_eq_o Y_31) (@ (@ tptp.semila10642723_sup_o X_67) Y_31))))
% 0.66/1.05 (assert (forall ((Y_31 (-> tptp.hoare_1708887482_state Bool)) (X_67 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o Y_31) (@ (@ tptp.semila1122118281tate_o X_67) Y_31))))
% 0.66/1.05 (assert (forall ((X_66 (-> tptp.pname Bool)) (Y_30 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o X_66) Y_30) (= (@ (@ tptp.semila1780557381name_o X_66) Y_30) Y_30))))
% 0.66/1.05 (assert (forall ((X_66 Bool) (Y_30 Bool)) (= (@ (@ tptp.ord_less_eq_o X_66) Y_30) (= (@ (@ tptp.semila10642723_sup_o X_66) Y_30) Y_30))))
% 0.66/1.05 (assert (forall ((X_66 (-> tptp.hoare_1708887482_state Bool)) (Y_30 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o X_66) Y_30) (= (@ (@ tptp.semila1122118281tate_o X_66) Y_30) Y_30))))
% 0.66/1.05 (assert (forall ((X_65 (-> tptp.pname Bool)) (Y_29 (-> tptp.pname Bool)) (Z_14 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o X_65) Y_29)) Z_14) (and (@ (@ tptp.ord_less_eq_pname_o X_65) Z_14) (@ (@ tptp.ord_less_eq_pname_o Y_29) Z_14)))))
% 0.66/1.05 (assert (forall ((X_65 Bool) (Y_29 Bool) (Z_14 Bool)) (= (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o X_65) Y_29)) Z_14) (and (@ (@ tptp.ord_less_eq_o X_65) Z_14) (@ (@ tptp.ord_less_eq_o Y_29) Z_14)))))
% 0.66/1.05 (assert (forall ((X_65 (-> tptp.hoare_1708887482_state Bool)) (Y_29 (-> tptp.hoare_1708887482_state Bool)) (Z_14 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o X_65) Y_29)) Z_14) (and (@ (@ tptp.ord_le777019615tate_o X_65) Z_14) (@ (@ tptp.ord_le777019615tate_o Y_29) Z_14)))))
% 0.66/1.05 (assert (forall ((B_92 (-> tptp.pname Bool)) (X_64 (-> tptp.pname Bool)) (A_145 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_64))) (=> (@ _let_1 A_145) (@ _let_1 (@ (@ tptp.semila1780557381name_o A_145) B_92))))))
% 0.66/1.05 (assert (forall ((B_92 Bool) (X_64 Bool) (A_145 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_64))) (=> (@ _let_1 A_145) (@ _let_1 (@ (@ tptp.semila10642723_sup_o A_145) B_92))))))
% 0.66/1.05 (assert (forall ((B_92 (-> tptp.hoare_1708887482_state Bool)) (X_64 (-> tptp.hoare_1708887482_state Bool)) (A_145 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_64))) (=> (@ _let_1 A_145) (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_145) B_92))))))
% 0.66/1.05 (assert (forall ((A_144 (-> tptp.pname Bool)) (X_63 (-> tptp.pname Bool)) (B_91 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_63))) (=> (@ _let_1 B_91) (@ _let_1 (@ (@ tptp.semila1780557381name_o A_144) B_91))))))
% 0.66/1.05 (assert (forall ((A_144 Bool) (X_63 Bool) (B_91 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_63))) (=> (@ _let_1 B_91) (@ _let_1 (@ (@ tptp.semila10642723_sup_o A_144) B_91))))))
% 0.66/1.05 (assert (forall ((A_144 (-> tptp.hoare_1708887482_state Bool)) (X_63 (-> tptp.hoare_1708887482_state Bool)) (B_91 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_63))) (=> (@ _let_1 B_91) (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_144) B_91))))))
% 0.66/1.05 (assert (forall ((X_62 (-> tptp.pname Bool)) (Y_28 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o X_62) Y_28) (= (@ (@ tptp.semila1780557381name_o X_62) Y_28) Y_28))))
% 0.66/1.05 (assert (forall ((X_62 Bool) (Y_28 Bool)) (=> (@ (@ tptp.ord_less_eq_o X_62) Y_28) (= (@ (@ tptp.semila10642723_sup_o X_62) Y_28) Y_28))))
% 0.66/1.05 (assert (forall ((X_62 (-> tptp.hoare_1708887482_state Bool)) (Y_28 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o X_62) Y_28) (= (@ (@ tptp.semila1122118281tate_o X_62) Y_28) Y_28))))
% 0.66/1.05 (assert (forall ((Y_27 (-> tptp.pname Bool)) (X_61 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_27) X_61) (= (@ (@ tptp.semila1780557381name_o X_61) Y_27) X_61))))
% 0.66/1.05 (assert (forall ((Y_27 Bool) (X_61 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_27) X_61) (= (@ (@ tptp.semila10642723_sup_o X_61) Y_27) X_61))))
% 0.66/1.05 (assert (forall ((Y_27 (-> tptp.hoare_1708887482_state Bool)) (X_61 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_27) X_61) (= (@ (@ tptp.semila1122118281tate_o X_61) Y_27) X_61))))
% 0.66/1.05 (assert (forall ((B_90 (-> tptp.pname Bool)) (A_143 (-> tptp.pname Bool)) (X_60 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_143) X_60) (=> (@ (@ tptp.ord_less_eq_pname_o B_90) X_60) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_143) B_90)) X_60)))))
% 0.66/1.05 (assert (forall ((B_90 Bool) (A_143 Bool) (X_60 Bool)) (=> (@ (@ tptp.ord_less_eq_o A_143) X_60) (=> (@ (@ tptp.ord_less_eq_o B_90) X_60) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o A_143) B_90)) X_60)))))
% 0.66/1.05 (assert (forall ((B_90 (-> tptp.hoare_1708887482_state Bool)) (A_143 (-> tptp.hoare_1708887482_state Bool)) (X_60 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_143) X_60) (=> (@ (@ tptp.ord_le777019615tate_o B_90) X_60) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_143) B_90)) X_60)))))
% 0.66/1.05 (assert (forall ((Z_13 (-> tptp.pname Bool)) (Y_26 (-> tptp.pname Bool)) (X_59 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_26) X_59) (=> (@ (@ tptp.ord_less_eq_pname_o Z_13) X_59) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o Y_26) Z_13)) X_59)))))
% 0.66/1.05 (assert (forall ((Z_13 Bool) (Y_26 Bool) (X_59 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_26) X_59) (=> (@ (@ tptp.ord_less_eq_o Z_13) X_59) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o Y_26) Z_13)) X_59)))))
% 0.66/1.05 (assert (forall ((Z_13 (-> tptp.hoare_1708887482_state Bool)) (Y_26 (-> tptp.hoare_1708887482_state Bool)) (X_59 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_26) X_59) (=> (@ (@ tptp.ord_le777019615tate_o Z_13) X_59) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o Y_26) Z_13)) X_59)))))
% 0.66/1.05 (assert (forall ((B_89 (-> tptp.pname Bool)) (D_4 (-> tptp.pname Bool)) (A_142 (-> tptp.pname Bool)) (C_38 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_142) C_38) (=> (@ (@ tptp.ord_less_eq_pname_o B_89) D_4) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_142) B_89)) (@ (@ tptp.semila1780557381name_o C_38) D_4))))))
% 0.66/1.05 (assert (forall ((B_89 Bool) (D_4 Bool) (A_142 Bool) (C_38 Bool)) (=> (@ (@ tptp.ord_less_eq_o A_142) C_38) (=> (@ (@ tptp.ord_less_eq_o B_89) D_4) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o A_142) B_89)) (@ (@ tptp.semila10642723_sup_o C_38) D_4))))))
% 0.66/1.05 (assert (forall ((B_89 (-> tptp.hoare_1708887482_state Bool)) (D_4 (-> tptp.hoare_1708887482_state Bool)) (A_142 (-> tptp.hoare_1708887482_state Bool)) (C_38 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_142) C_38) (=> (@ (@ tptp.ord_le777019615tate_o B_89) D_4) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_142) B_89)) (@ (@ tptp.semila1122118281tate_o C_38) D_4))))))
% 0.66/1.05 (assert (forall ((A_141 (-> tptp.pname Bool)) (B_88 (-> tptp.pname Bool)) (X_58 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_141) B_88)) X_58) (not (=> (@ (@ tptp.ord_less_eq_pname_o A_141) X_58) (not (@ (@ tptp.ord_less_eq_pname_o B_88) X_58)))))))
% 0.66/1.05 (assert (forall ((A_141 Bool) (B_88 Bool) (X_58 Bool)) (=> (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o A_141) B_88)) X_58) (not (=> (@ (@ tptp.ord_less_eq_o A_141) X_58) (not (@ (@ tptp.ord_less_eq_o B_88) X_58)))))))
% 0.66/1.05 (assert (forall ((A_141 (-> tptp.hoare_1708887482_state Bool)) (B_88 (-> tptp.hoare_1708887482_state Bool)) (X_58 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_141) B_88)) X_58) (not (=> (@ (@ tptp.ord_le777019615tate_o A_141) X_58) (not (@ (@ tptp.ord_le777019615tate_o B_88) X_58)))))))
% 0.66/1.05 (assert (forall ((X_57 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o tptp.bot_bot_pname_o) X_57) X_57)))
% 0.66/1.05 (assert (forall ((X_57 (-> tptp.com Bool))) (= (@ (@ tptp.semila1562558655_com_o tptp.bot_bot_com_o) X_57) X_57)))
% 0.66/1.05 (assert (forall ((X_57 Bool)) (= (@ (@ tptp.semila10642723_sup_o tptp.bot_bot_o) X_57) X_57)))
% 0.66/1.05 (assert (forall ((X_57 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o tptp.bot_bo19817387tate_o) X_57) X_57)))
% 0.66/1.05 (assert (forall ((X_56 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o X_56) tptp.bot_bot_pname_o) X_56)))
% 0.66/1.05 (assert (forall ((X_56 (-> tptp.com Bool))) (= (@ (@ tptp.semila1562558655_com_o X_56) tptp.bot_bot_com_o) X_56)))
% 0.66/1.05 (assert (forall ((X_56 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_56) tptp.bot_bot_o) X_56)))
% 0.66/1.05 (assert (forall ((X_56 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_56) tptp.bot_bo19817387tate_o) X_56)))
% 0.66/1.05 (assert (forall ((X_55 tptp.pname) (P_15 (-> tptp.pname Bool)) (A_140 tptp.option_pname)) (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) (@ tptp.set_pname A_140)) (@ P_15 X_3))) (=> (= A_140 (@ tptp.some_pname X_55)) (@ P_15 X_55)))))
% 0.66/1.05 (assert (forall ((X_55 tptp.hoare_1708887482_state) (P_15 (-> tptp.hoare_1708887482_state Bool)) (A_140 tptp.option1624383643_state)) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) (@ tptp.set_Ho525251890_state A_140)) (@ P_15 X_3))) (=> (= A_140 (@ tptp.some_H1974565227_state X_55)) (@ P_15 X_55)))))
% 0.66/1.05 (assert (forall ((X_55 tptp.com) (P_15 (-> tptp.com Bool)) (A_140 tptp.option_com)) (=> (forall ((X_3 tptp.com)) (=> (@ (@ tptp.member_com X_3) (@ tptp.set_com A_140)) (@ P_15 X_3))) (=> (= A_140 (@ tptp.some_com X_55)) (@ P_15 X_55)))))
% 0.66/1.05 (assert (forall ((B_87 (-> (-> tptp.pname Bool) Bool)) (A_139 (-> (-> tptp.pname Bool) Bool)) (F_59 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_58 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite697516351name_o F_59) F_58) (=> (@ tptp.finite297249702name_o A_139) (=> (not (= A_139 tptp.bot_bot_pname_o_o)) (=> (@ tptp.finite297249702name_o B_87) (=> (not (= B_87 tptp.bot_bot_pname_o_o)) (= (@ F_58 (@ (@ tptp.semila181081674me_o_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))))
% 0.66/1.05 (assert (forall ((B_87 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_139 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_59 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_58 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite621643279tate_o F_59) F_58) (=> (@ tptp.finite1329924456tate_o A_139) (=> (not (= A_139 tptp.bot_bo1678742418te_o_o)) (=> (@ tptp.finite1329924456tate_o B_87) (=> (not (= B_87 tptp.bot_bo1678742418te_o_o)) (= (@ F_58 (@ (@ tptp.semila1853742644te_o_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))))
% 0.66/1.05 (assert (forall ((B_87 (-> tptp.com Bool)) (A_139 (-> tptp.com Bool)) (F_59 (-> tptp.com tptp.com tptp.com)) (F_58 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite666746948em_com F_59) F_58) (=> (@ tptp.finite_finite_com A_139) (=> (not (= A_139 tptp.bot_bot_com_o)) (=> (@ tptp.finite_finite_com B_87) (=> (not (= B_87 tptp.bot_bot_com_o)) (= (@ F_58 (@ (@ tptp.semila1562558655_com_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))))
% 0.66/1.05 (assert (forall ((B_87 (-> tptp.hoare_1708887482_state Bool)) (A_139 (-> tptp.hoare_1708887482_state Bool)) (F_59 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_58 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_59) F_58) (=> (@ tptp.finite1625599783_state A_139) (=> (not (= A_139 tptp.bot_bo19817387tate_o)) (=> (@ tptp.finite1625599783_state B_87) (=> (not (= B_87 tptp.bot_bo19817387tate_o)) (= (@ F_58 (@ (@ tptp.semila1122118281tate_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))))
% 0.66/1.05 (assert (forall ((B_87 (-> tptp.pname Bool)) (A_139 (-> tptp.pname Bool)) (F_59 (-> tptp.pname tptp.pname tptp.pname)) (F_58 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_59) F_58) (=> (@ tptp.finite_finite_pname A_139) (=> (not (= A_139 tptp.bot_bot_pname_o)) (=> (@ tptp.finite_finite_pname B_87) (=> (not (= B_87 tptp.bot_bot_pname_o)) (= (@ F_58 (@ (@ tptp.semila1780557381name_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))))
% 0.66/1.05 (assert (forall ((B_86 (-> (-> tptp.pname Bool) Bool)) (A_138 (-> (-> tptp.pname Bool) Bool)) (F_57 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_56 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite697516351name_o F_57) F_56) (=> (@ tptp.finite297249702name_o A_138) (=> (not (= B_86 tptp.bot_bot_pname_o_o)) (=> (@ (@ tptp.ord_le1205211808me_o_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))))
% 0.66/1.05 (assert (forall ((B_86 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_138 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_57 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_56 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite621643279tate_o F_57) F_56) (=> (@ tptp.finite1329924456tate_o A_138) (=> (not (= B_86 tptp.bot_bo1678742418te_o_o)) (=> (@ (@ tptp.ord_le1728773982te_o_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))))
% 0.66/1.05 (assert (forall ((B_86 (-> tptp.com Bool)) (A_138 (-> tptp.com Bool)) (F_57 (-> tptp.com tptp.com tptp.com)) (F_56 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite666746948em_com F_57) F_56) (=> (@ tptp.finite_finite_com A_138) (=> (not (= B_86 tptp.bot_bot_com_o)) (=> (@ (@ tptp.ord_less_eq_com_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))))
% 0.66/1.05 (assert (forall ((B_86 (-> tptp.hoare_1708887482_state Bool)) (A_138 (-> tptp.hoare_1708887482_state Bool)) (F_57 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_56 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite1347568576_state F_57) F_56) (=> (@ tptp.finite1625599783_state A_138) (=> (not (= B_86 tptp.bot_bo19817387tate_o)) (=> (@ (@ tptp.ord_le777019615tate_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))))
% 0.66/1.05 (assert (forall ((B_86 (-> tptp.pname Bool)) (A_138 (-> tptp.pname Bool)) (F_57 (-> tptp.pname tptp.pname tptp.pname)) (F_56 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite89670078_pname F_57) F_56) (=> (@ tptp.finite_finite_pname A_138) (=> (not (= B_86 tptp.bot_bot_pname_o)) (=> (@ (@ tptp.ord_less_eq_pname_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))))
% 0.66/1.05 (assert (forall ((G_11 (-> tptp.hoare_1708887482_state Bool)) (P_14 (-> tptp.state tptp.state Bool))) (@ (@ tptp.hoare_90032982_state G_11) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_14) tptp.skip) P_14)) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((X_54 tptp.com) (A_137 (-> tptp.com Bool)) (F_55 (-> tptp.com tptp.com tptp.com)) (F_54 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite666746948em_com F_55) F_54) (=> (@ tptp.finite_finite_com A_137) (=> (not (= A_137 tptp.bot_bot_com_o)) (= (@ F_54 (@ (@ tptp.insert_com X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))))
% 0.66/1.05 (assert (forall ((X_54 (-> tptp.pname Bool)) (A_137 (-> (-> tptp.pname Bool) Bool)) (F_55 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_54 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite697516351name_o F_55) F_54) (=> (@ tptp.finite297249702name_o A_137) (=> (not (= A_137 tptp.bot_bot_pname_o_o)) (= (@ F_54 (@ (@ tptp.insert_pname_o X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))))
% 0.66/1.05 (assert (forall ((X_54 (-> tptp.hoare_1708887482_state Bool)) (A_137 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_55 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_54 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite621643279tate_o F_55) F_54) (=> (@ tptp.finite1329924456tate_o A_137) (=> (not (= A_137 tptp.bot_bo1678742418te_o_o)) (= (@ F_54 (@ (@ tptp.insert949073679tate_o X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))))
% 0.66/1.05 (assert (forall ((X_54 tptp.pname) (A_137 (-> tptp.pname Bool)) (F_55 (-> tptp.pname tptp.pname tptp.pname)) (F_54 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_55) F_54) (=> (@ tptp.finite_finite_pname A_137) (=> (not (= A_137 tptp.bot_bot_pname_o)) (= (@ F_54 (@ (@ tptp.insert_pname X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))))
% 0.66/1.05 (assert (forall ((X_54 tptp.hoare_1708887482_state) (A_137 (-> tptp.hoare_1708887482_state Bool)) (F_55 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_54 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_55) F_54) (=> (@ tptp.finite1625599783_state A_137) (=> (not (= A_137 tptp.bot_bo19817387tate_o)) (= (@ F_54 (@ (@ tptp.insert528405184_state X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))))
% 0.66/1.05 (assert (forall ((P_13 (-> (-> tptp.com Bool) Bool)) (F_52 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com F_52) (=> (not (= F_52 tptp.bot_bot_com_o)) (=> (forall ((X_3 tptp.com)) (@ P_13 (@ (@ tptp.insert_com X_3) tptp.bot_bot_com_o))) (=> (forall ((X_3 tptp.com) (F_53 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com F_53) (=> (not (= F_53 tptp.bot_bot_com_o)) (=> (not (@ (@ tptp.member_com X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert_com X_3) F_53))))))) (@ P_13 F_52)))))))
% 0.66/1.05 (assert (forall ((P_13 (-> (-> (-> tptp.pname Bool) Bool) Bool)) (F_52 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_52) (=> (not (= F_52 tptp.bot_bot_pname_o_o)) (=> (forall ((X_3 (-> tptp.pname Bool))) (@ P_13 (@ (@ tptp.insert_pname_o X_3) tptp.bot_bot_pname_o_o))) (=> (forall ((X_3 (-> tptp.pname Bool)) (F_53 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_53) (=> (not (= F_53 tptp.bot_bot_pname_o_o)) (=> (not (@ (@ tptp.member_pname_o X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert_pname_o X_3) F_53))))))) (@ P_13 F_52)))))))
% 0.66/1.05 (assert (forall ((P_13 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool)) (F_52 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_52) (=> (not (= F_52 tptp.bot_bo1678742418te_o_o)) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (@ P_13 (@ (@ tptp.insert949073679tate_o X_3) tptp.bot_bo1678742418te_o_o))) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (F_53 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_53) (=> (not (= F_53 tptp.bot_bo1678742418te_o_o)) (=> (not (@ (@ tptp.member814030440tate_o X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert949073679tate_o X_3) F_53))))))) (@ P_13 F_52)))))))
% 0.66/1.05 (assert (forall ((P_13 (-> (-> tptp.pname Bool) Bool)) (F_52 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_52) (=> (not (= F_52 tptp.bot_bot_pname_o)) (=> (forall ((X_3 tptp.pname)) (@ P_13 (@ (@ tptp.insert_pname X_3) tptp.bot_bot_pname_o))) (=> (forall ((X_3 tptp.pname) (F_53 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_53) (=> (not (= F_53 tptp.bot_bot_pname_o)) (=> (not (@ (@ tptp.member_pname X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert_pname X_3) F_53))))))) (@ P_13 F_52)))))))
% 0.66/1.05 (assert (forall ((P_13 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_52 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_52) (=> (not (= F_52 tptp.bot_bo19817387tate_o)) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (@ P_13 (@ (@ tptp.insert528405184_state X_3) tptp.bot_bo19817387tate_o))) (=> (forall ((X_3 tptp.hoare_1708887482_state) (F_53 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_53) (=> (not (= F_53 tptp.bot_bo19817387tate_o)) (=> (not (@ (@ tptp.member451959335_state X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert528405184_state X_3) F_53))))))) (@ P_13 F_52)))))))
% 0.66/1.05 (assert (forall ((G_10 (-> tptp.hoare_1708887482_state Bool)) (P_12 (-> tptp.state tptp.state Bool)) (B_85 (-> tptp.state Bool)) (C_37 tptp.com)) (@ (@ tptp.hoare_90032982_state G_10) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Z_11 tptp.state) (S_2 tptp.state)) (and (@ (@ P_12 Z_11) S_2) (not (@ B_85 S_2))))) (@ (@ tptp.while B_85) C_37)) P_12)) tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((D_3 tptp.com) (R_1 (-> tptp.state tptp.state Bool)) (G_9 (-> tptp.hoare_1708887482_state Bool)) (P_11 (-> tptp.state tptp.state Bool)) (C_36 tptp.com) (Q_6 (-> tptp.state tptp.state Bool))) (let ((_let_1 (@ tptp.hoare_858012674_state P_11))) (let ((_let_2 (@ tptp.hoare_90032982_state G_9))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ _let_1 C_36) Q_6)) tptp.bot_bo19817387tate_o)) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state Q_6) D_3) R_1)) tptp.bot_bo19817387tate_o)) (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ _let_1 (@ (@ tptp.semi C_36) D_3)) R_1)) tptp.bot_bo19817387tate_o))))))))
% 0.66/1.05 (assert (forall ((B_82 (-> tptp.state Bool)) (C_34 tptp.com)) (=> (@ tptp.wt (@ (@ tptp.while B_82) C_34)) (@ tptp.wt C_34))))
% 0.66/1.05 (assert (forall ((C1 tptp.com) (C2 tptp.com)) (=> (@ tptp.wt (@ (@ tptp.semi C1) C2)) (not (=> (@ tptp.wt C1) (not (@ tptp.wt C2)))))))
% 0.66/1.05 (assert (forall ((X_53 tptp.hoare_1708887482_state) (F_51 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_50 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_51) F_50) (= (@ (@ F_51 X_53) X_53) X_53))))
% 0.66/1.05 (assert (forall ((X_53 tptp.pname) (F_51 (-> tptp.pname tptp.pname tptp.pname)) (F_50 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_51) F_50) (= (@ (@ F_51 X_53) X_53) X_53))))
% 0.66/1.05 (assert (forall ((Com1_1 tptp.com) (Com2_1 tptp.com)) (not (= tptp.skip (@ (@ tptp.semi Com1_1) Com2_1)))))
% 0.66/1.05 (assert (forall ((Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com)) (not (= tptp.skip (@ (@ tptp.while Fun_1) Com_2)))))
% 0.66/1.05 (assert (forall ((Com1_1 tptp.com) (Com2_1 tptp.com)) (not (= (@ (@ tptp.semi Com1_1) Com2_1) tptp.skip))))
% 0.66/1.05 (assert (forall ((Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com)) (not (= (@ (@ tptp.while Fun_1) Com_2) tptp.skip))))
% 0.66/1.05 (assert (forall ((Com1 tptp.com) (Com2 tptp.com) (Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com)) (not (= (@ (@ tptp.semi Com1) Com2) (@ (@ tptp.while Fun_1) Com_2)))))
% 0.66/1.05 (assert (forall ((Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com) (Com1 tptp.com) (Com2 tptp.com)) (not (= (@ (@ tptp.while Fun_1) Com_2) (@ (@ tptp.semi Com1) Com2)))))
% 0.66/1.05 (assert (forall ((Com1 tptp.com) (Com2 tptp.com) (Com1_1 tptp.com) (Com2_1 tptp.com)) (= (= (@ (@ tptp.semi Com1) Com2) (@ (@ tptp.semi Com1_1) Com2_1)) (and (= Com1 Com1_1) (= Com2 Com2_1)))))
% 0.66/1.05 (assert (forall ((Fun (-> tptp.state Bool)) (Com_1 tptp.com) (Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com)) (= (= (@ (@ tptp.while Fun) Com_1) (@ (@ tptp.while Fun_1) Com_2)) (and (= Fun Fun_1) (= Com_1 Com_2)))))
% 0.66/1.05 (assert (forall ((Pname tptp.pname) (Fun (-> tptp.state Bool)) (Com_1 tptp.com)) (not (= (@ tptp.body_1 Pname) (@ (@ tptp.while Fun) Com_1)))))
% 0.66/1.05 (assert (forall ((Fun (-> tptp.state Bool)) (Com_1 tptp.com) (Pname tptp.pname)) (not (= (@ (@ tptp.while Fun) Com_1) (@ tptp.body_1 Pname)))))
% 0.66/1.05 (assert (forall ((B_82 (-> tptp.state Bool)) (C_34 tptp.com)) (=> (@ tptp.wt C_34) (@ tptp.wt (@ (@ tptp.while B_82) C_34)))))
% 0.66/1.05 (assert (forall ((Pname tptp.pname) (Com1 tptp.com) (Com2 tptp.com)) (not (= (@ tptp.body_1 Pname) (@ (@ tptp.semi Com1) Com2)))))
% 0.66/1.05 (assert (forall ((Com1 tptp.com) (Com2 tptp.com) (Pname tptp.pname)) (not (= (@ (@ tptp.semi Com1) Com2) (@ tptp.body_1 Pname)))))
% 0.66/1.05 (assert (forall ((C1 tptp.com) (C0 tptp.com)) (=> (@ tptp.wt C0) (=> (@ tptp.wt C1) (@ tptp.wt (@ (@ tptp.semi C0) C1))))))
% 0.66/1.05 (assert (forall ((Pname tptp.pname)) (not (= tptp.skip (@ tptp.body_1 Pname)))))
% 0.66/1.05 (assert (forall ((Pname tptp.pname)) (not (= (@ tptp.body_1 Pname) tptp.skip))))
% 0.66/1.05 (assert (@ tptp.wt tptp.skip))
% 0.66/1.05 (assert (forall ((X_52 tptp.com) (A_136 (-> tptp.com Bool)) (F_49 (-> tptp.com tptp.com tptp.com)) (F_48 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite666746948em_com F_49) F_48) (=> (@ tptp.finite_finite_com A_136) (=> (@ (@ tptp.member_com X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))))
% 0.66/1.05 (assert (forall ((X_52 tptp.pname) (A_136 (-> tptp.pname Bool)) (F_49 (-> tptp.pname tptp.pname tptp.pname)) (F_48 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite89670078_pname F_49) F_48) (=> (@ tptp.finite_finite_pname A_136) (=> (@ (@ tptp.member_pname X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))))
% 0.66/1.05 (assert (forall ((X_52 tptp.hoare_1708887482_state) (A_136 (-> tptp.hoare_1708887482_state Bool)) (F_49 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_48 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite1347568576_state F_49) F_48) (=> (@ tptp.finite1625599783_state A_136) (=> (@ (@ tptp.member451959335_state X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))))
% 0.66/1.05 (assert (forall ((X_52 (-> tptp.pname Bool)) (A_136 (-> (-> tptp.pname Bool) Bool)) (F_49 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_48 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite697516351name_o F_49) F_48) (=> (@ tptp.finite297249702name_o A_136) (=> (@ (@ tptp.member_pname_o X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))))
% 0.66/1.05 (assert (forall ((X_52 (-> tptp.hoare_1708887482_state Bool)) (A_136 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_49 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_48 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite621643279tate_o F_49) F_48) (=> (@ tptp.finite1329924456tate_o A_136) (=> (@ (@ tptp.member814030440tate_o X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))))
% 0.66/1.05 (assert (forall ((N_1 (-> (-> tptp.pname Bool) Bool)) (H_1 (-> (-> tptp.pname Bool) tptp.pname Bool)) (F_47 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_46 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite697516351name_o F_47) F_46) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool))) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite297249702name_o N_1) (=> (not (= N_1 tptp.bot_bot_pname_o_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_1085733413name_o H_1) N_1)))))))))
% 0.66/1.05 (assert (forall ((N_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (H_1 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_47 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_46 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite621643279tate_o F_47) F_46) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool))) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite1329924456tate_o N_1) (=> (not (= N_1 tptp.bot_bo1678742418te_o_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_909543877tate_o H_1) N_1)))))))))
% 0.66/1.05 (assert (forall ((N_1 (-> tptp.pname Bool)) (H_1 (-> tptp.pname tptp.pname)) (F_47 (-> tptp.pname tptp.pname tptp.pname)) (F_46 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_47) F_46) (=> (forall ((X_3 tptp.pname) (Y_4 tptp.pname)) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite_finite_pname N_1) (=> (not (= N_1 tptp.bot_bot_pname_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_pname_pname H_1) N_1)))))))))
% 0.66/1.05 (assert (forall ((N_1 (-> tptp.hoare_1708887482_state Bool)) (H_1 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_47 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_46 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_47) F_46) (=> (forall ((X_3 tptp.hoare_1708887482_state) (Y_4 tptp.hoare_1708887482_state)) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite1625599783_state N_1) (=> (not (= N_1 tptp.bot_bo19817387tate_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_757158439_state H_1) N_1)))))))))
% 0.66/1.05 (assert (forall ((N_1 (-> tptp.com Bool)) (H_1 (-> tptp.com tptp.com)) (F_47 (-> tptp.com tptp.com tptp.com)) (F_46 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite666746948em_com F_47) F_46) (=> (forall ((X_3 tptp.com) (Y_4 tptp.com)) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite_finite_com N_1) (=> (not (= N_1 tptp.bot_bot_com_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_com_com H_1) N_1)))))))))
% 0.66/1.05 (assert (forall ((X_51 (-> tptp.com Bool))) (= (@ tptp.the_elem_com X_51) (@ tptp.the_com_1 (lambda ((X_3 tptp.com)) (= X_51 (@ (@ tptp.insert_com X_3) tptp.bot_bot_com_o)))))))
% 0.66/1.05 (assert (forall ((X_51 (-> tptp.pname Bool))) (= (@ tptp.the_elem_pname X_51) (@ tptp.the_pname (lambda ((X_3 tptp.pname)) (= X_51 (@ (@ tptp.insert_pname X_3) tptp.bot_bot_pname_o)))))))
% 0.66/1.05 (assert (forall ((X_51 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.the_el864710747_state X_51) (@ tptp.the_Ho851197897_state (lambda ((X_3 tptp.hoare_1708887482_state)) (= X_51 (@ (@ tptp.insert528405184_state X_3) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((X_50 tptp.com) (A_135 (-> tptp.com Bool)) (F_45 (-> tptp.com tptp.com tptp.com)) (F_44 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_45) F_44) (=> (@ tptp.finite_finite_com A_135) (=> (not (@ (@ tptp.member_com X_50) A_135)) (=> (not (= A_135 tptp.bot_bot_com_o)) (= (@ F_44 (@ (@ tptp.insert_com X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))))
% 0.66/1.05 (assert (forall ((X_50 tptp.pname) (A_135 (-> tptp.pname Bool)) (F_45 (-> tptp.pname tptp.pname tptp.pname)) (F_44 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite1282449217_pname F_45) F_44) (=> (@ tptp.finite_finite_pname A_135) (=> (not (@ (@ tptp.member_pname X_50) A_135)) (=> (not (= A_135 tptp.bot_bot_pname_o)) (= (@ F_44 (@ (@ tptp.insert_pname X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))))
% 0.66/1.05 (assert (forall ((X_50 tptp.hoare_1708887482_state) (A_135 (-> tptp.hoare_1708887482_state Bool)) (F_45 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_44 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1615457021_state F_45) F_44) (=> (@ tptp.finite1625599783_state A_135) (=> (not (@ (@ tptp.member451959335_state X_50) A_135)) (=> (not (= A_135 tptp.bot_bo19817387tate_o)) (= (@ F_44 (@ (@ tptp.insert528405184_state X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))))
% 0.66/1.05 (assert (forall ((X_50 (-> tptp.pname Bool)) (A_135 (-> (-> tptp.pname Bool) Bool)) (F_45 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_44 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite349908348name_o F_45) F_44) (=> (@ tptp.finite297249702name_o A_135) (=> (not (@ (@ tptp.member_pname_o X_50) A_135)) (=> (not (= A_135 tptp.bot_bot_pname_o_o)) (= (@ F_44 (@ (@ tptp.insert_pname_o X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))))
% 0.66/1.05 (assert (forall ((X_50 (-> tptp.hoare_1708887482_state Bool)) (A_135 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_45 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_44 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite928843026tate_o F_45) F_44) (=> (@ tptp.finite1329924456tate_o A_135) (=> (not (@ (@ tptp.member814030440tate_o X_50) A_135)) (=> (not (= A_135 tptp.bot_bo1678742418te_o_o)) (= (@ F_44 (@ (@ tptp.insert949073679tate_o X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))))
% 0.66/1.05 (assert (forall ((Y_25 tptp.hoare_1708887482_state)) (not (forall ((Fun1 (-> tptp.state tptp.state Bool)) (Com tptp.com) (Fun2 (-> tptp.state tptp.state Bool))) (not (= Y_25 (@ (@ (@ tptp.hoare_858012674_state Fun1) Com) Fun2)))))))
% 0.66/1.05 (assert (forall ((X_49 tptp.com) (F_43 (-> tptp.com tptp.com tptp.com)) (F_42 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_43) F_42) (= (@ F_42 (@ (@ tptp.insert_com X_49) tptp.bot_bot_com_o)) X_49))))
% 0.66/1.05 (assert (forall ((X_49 tptp.pname) (F_43 (-> tptp.pname tptp.pname tptp.pname)) (F_42 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite1282449217_pname F_43) F_42) (= (@ F_42 (@ (@ tptp.insert_pname X_49) tptp.bot_bot_pname_o)) X_49))))
% 0.66/1.05 (assert (forall ((X_49 tptp.hoare_1708887482_state) (F_43 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_42 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1615457021_state F_43) F_42) (= (@ F_42 (@ (@ tptp.insert528405184_state X_49) tptp.bot_bo19817387tate_o)) X_49))))
% 0.66/1.05 (assert (forall ((A_134 (-> tptp.com Bool)) (F_41 (-> tptp.com tptp.com tptp.com)) (F_40 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_41) F_40) (=> (@ tptp.finite_finite_com A_134) (=> (not (= A_134 tptp.bot_bot_com_o)) (=> (forall ((X_3 tptp.com) (Y_4 tptp.com)) (@ (@ tptp.member_com (@ (@ F_41 X_3) Y_4)) (@ (@ tptp.insert_com X_3) (@ (@ tptp.insert_com Y_4) tptp.bot_bot_com_o)))) (@ (@ tptp.member_com (@ F_40 A_134)) A_134)))))))
% 0.66/1.05 (assert (forall ((A_134 (-> tptp.pname Bool)) (F_41 (-> tptp.pname tptp.pname tptp.pname)) (F_40 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite1282449217_pname F_41) F_40) (=> (@ tptp.finite_finite_pname A_134) (=> (not (= A_134 tptp.bot_bot_pname_o)) (=> (forall ((X_3 tptp.pname) (Y_4 tptp.pname)) (@ (@ tptp.member_pname (@ (@ F_41 X_3) Y_4)) (@ (@ tptp.insert_pname X_3) (@ (@ tptp.insert_pname Y_4) tptp.bot_bot_pname_o)))) (@ (@ tptp.member_pname (@ F_40 A_134)) A_134)))))))
% 0.66/1.05 (assert (forall ((A_134 (-> tptp.hoare_1708887482_state Bool)) (F_41 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_40 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1615457021_state F_41) F_40) (=> (@ tptp.finite1625599783_state A_134) (=> (not (= A_134 tptp.bot_bo19817387tate_o)) (=> (forall ((X_3 tptp.hoare_1708887482_state) (Y_4 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state (@ (@ F_41 X_3) Y_4)) (@ (@ tptp.insert528405184_state X_3) (@ (@ tptp.insert528405184_state Y_4) tptp.bot_bo19817387tate_o)))) (@ (@ tptp.member451959335_state (@ F_40 A_134)) A_134)))))))
% 0.66/1.05 (assert (forall ((A_134 (-> (-> tptp.pname Bool) Bool)) (F_41 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_40 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite349908348name_o F_41) F_40) (=> (@ tptp.finite297249702name_o A_134) (=> (not (= A_134 tptp.bot_bot_pname_o_o)) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool))) (@ (@ tptp.member_pname_o (@ (@ F_41 X_3) Y_4)) (@ (@ tptp.insert_pname_o X_3) (@ (@ tptp.insert_pname_o Y_4) tptp.bot_bot_pname_o_o)))) (@ (@ tptp.member_pname_o (@ F_40 A_134)) A_134)))))))
% 0.66/1.05 (assert (forall ((A_134 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_41 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_40 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite928843026tate_o F_41) F_40) (=> (@ tptp.finite1329924456tate_o A_134) (=> (not (= A_134 tptp.bot_bo1678742418te_o_o)) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.member814030440tate_o (@ (@ F_41 X_3) Y_4)) (@ (@ tptp.insert949073679tate_o X_3) (@ (@ tptp.insert949073679tate_o Y_4) tptp.bot_bo1678742418te_o_o)))) (@ (@ tptp.member814030440tate_o (@ F_40 A_134)) A_134)))))))
% 0.66/1.05 (assert (forall ((F_39 (-> tptp.pname tptp.hoare_1708887482_state)) (G_8 (-> tptp.pname tptp.hoare_1708887482_state)) (M_3 (-> tptp.pname Bool)) (N (-> tptp.pname Bool))) (=> (= M_3 N) (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) N) (= (@ F_39 X_3) (@ G_8 X_3)))) (= (@ (@ tptp.image_1116629049_state F_39) M_3) (@ (@ tptp.image_1116629049_state G_8) N))))))
% 0.66/1.05 (assert (forall ((Q_5 (-> tptp.hoare_1708887482_state Bool)) (P_10 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ P_10 X_3) (@ Q_5 X_3))) (@ (@ tptp.ord_le777019615tate_o (@ tptp.collec1568722789_state P_10)) (@ tptp.collec1568722789_state Q_5)))))
% 0.66/1.05 (assert (forall ((Q_5 (-> tptp.pname Bool)) (P_10 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (=> (@ P_10 X_3) (@ Q_5 X_3))) (@ (@ tptp.ord_less_eq_pname_o (@ tptp.collect_pname P_10)) (@ tptp.collect_pname Q_5)))))
% 0.66/1.05 (assert (forall ((Q_5 (-> (-> tptp.pname Bool) Bool)) (P_10 (-> (-> tptp.pname Bool) Bool))) (=> (forall ((X_3 (-> tptp.pname Bool))) (=> (@ P_10 X_3) (@ Q_5 X_3))) (@ (@ tptp.ord_le1205211808me_o_o (@ tptp.collect_pname_o P_10)) (@ tptp.collect_pname_o Q_5)))))
% 0.66/1.05 (assert (forall ((Q_5 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (P_10 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (=> (@ P_10 X_3) (@ Q_5 X_3))) (@ (@ tptp.ord_le1728773982te_o_o (@ tptp.collec219771562tate_o P_10)) (@ tptp.collec219771562tate_o Q_5)))))
% 0.66/1.05 (assert (forall ((Q_4 (-> tptp.pname Bool)) (P_9 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (=> (@ P_9 X_3) (@ Q_4 X_3))) (@ (@ tptp.ord_less_eq_pname_o P_9) Q_4))))
% 0.66/1.05 (assert (forall ((Q_4 (-> tptp.hoare_1708887482_state Bool)) (P_9 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ P_9 X_3) (@ Q_4 X_3))) (@ (@ tptp.ord_le777019615tate_o P_9) Q_4))))
% 0.66/1.05 (assert (forall ((A_133 tptp.com) (A_132 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com A_133) A_132) (exists ((B_84 (-> tptp.com Bool))) (and (= A_132 (@ (@ tptp.insert_com A_133) B_84)) (not (@ (@ tptp.member_com A_133) B_84)))))))
% 0.66/1.05 (assert (forall ((A_133 tptp.pname) (A_132 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname A_133) A_132) (exists ((B_84 (-> tptp.pname Bool))) (and (= A_132 (@ (@ tptp.insert_pname A_133) B_84)) (not (@ (@ tptp.member_pname A_133) B_84)))))))
% 0.66/1.05 (assert (forall ((A_133 tptp.hoare_1708887482_state) (A_132 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state A_133) A_132) (exists ((B_84 (-> tptp.hoare_1708887482_state Bool))) (and (= A_132 (@ (@ tptp.insert528405184_state A_133) B_84)) (not (@ (@ tptp.member451959335_state A_133) B_84)))))))
% 0.66/1.05 (assert (forall ((X_48 tptp.com) (A_131 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_48) A_131) (not (forall ((B_84 (-> tptp.com Bool))) (=> (= A_131 (@ (@ tptp.insert_com X_48) B_84)) (@ (@ tptp.member_com X_48) B_84)))))))
% 0.66/1.05 (assert (forall ((X_48 tptp.pname) (A_131 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_48) A_131) (not (forall ((B_84 (-> tptp.pname Bool))) (=> (= A_131 (@ (@ tptp.insert_pname X_48) B_84)) (@ (@ tptp.member_pname X_48) B_84)))))))
% 0.66/1.05 (assert (forall ((X_48 tptp.hoare_1708887482_state) (A_131 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_48) A_131) (not (forall ((B_84 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_131 (@ (@ tptp.insert528405184_state X_48) B_84)) (@ (@ tptp.member451959335_state X_48) B_84)))))))
% 0.66/1.05 (assert (forall ((A_130 (-> tptp.com Bool))) (=> (forall ((Y_4 tptp.com)) (not (@ (@ tptp.member_com Y_4) A_130))) (= A_130 tptp.bot_bot_com_o))))
% 0.66/1.05 (assert (forall ((A_130 (-> tptp.pname Bool))) (=> (forall ((Y_4 tptp.pname)) (not (@ (@ tptp.member_pname Y_4) A_130))) (= A_130 tptp.bot_bot_pname_o))))
% 0.66/1.05 (assert (forall ((A_130 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((Y_4 tptp.hoare_1708887482_state)) (not (@ (@ tptp.member451959335_state Y_4) A_130))) (= A_130 tptp.bot_bo19817387tate_o))))
% 0.66/1.05 (assert (forall ((G_7 (-> tptp.hoare_1708887482_state Bool)) (C_34 tptp.com)) (let ((_let_1 (@ tptp.hoare_90032982_state G_7))) (=> tptp.hoare_1160767572gleton (=> (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Z_11 tptp.state) (S0_1 tptp.state)) (forall ((S1 tptp.state)) (=> (@ (@ (@ tptp.evalc C_34) S0_1) S1) (= Z_11 S1))))) C_34) tptp.fequal_state)) tptp.bot_bo19817387tate_o)) (@ _let_1 (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((C_35 Bool) (F_38 (-> Bool Bool)) (B_83 Bool) (A_129 Bool)) (=> (= A_129 (@ F_38 B_83)) (=> (@ (@ tptp.ord_less_eq_o C_35) B_83) (=> (forall ((X_3 Bool) (Y_4 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_4) X_3) (@ (@ tptp.ord_less_eq_o (@ F_38 Y_4)) (@ F_38 X_3)))) (@ (@ tptp.ord_less_eq_o (@ F_38 C_35)) A_129))))))
% 0.66/1.05 (assert (forall ((C_35 (-> tptp.pname Bool)) (A_129 (-> tptp.pname Bool)) (F_38 (-> (-> tptp.pname Bool) tptp.pname Bool)) (B_83 (-> tptp.pname Bool))) (=> (= A_129 (@ F_38 B_83)) (=> (@ (@ tptp.ord_less_eq_pname_o C_35) B_83) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_4) X_3) (@ (@ tptp.ord_less_eq_pname_o (@ F_38 Y_4)) (@ F_38 X_3)))) (@ (@ tptp.ord_less_eq_pname_o (@ F_38 C_35)) A_129))))))
% 0.66/1.05 (assert (forall ((C_35 (-> tptp.hoare_1708887482_state Bool)) (A_129 (-> tptp.hoare_1708887482_state Bool)) (F_38 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (B_83 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_129 (@ F_38 B_83)) (=> (@ (@ tptp.ord_le777019615tate_o C_35) B_83) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_4) X_3) (@ (@ tptp.ord_le777019615tate_o (@ F_38 Y_4)) (@ F_38 X_3)))) (@ (@ tptp.ord_le777019615tate_o (@ F_38 C_35)) A_129))))))
% 0.66/1.05 (assert (forall ((G_7 (-> tptp.hoare_1708887482_state Bool)) (C_34 tptp.com)) (let ((_let_1 (@ tptp.hoare_90032982_state G_7))) (=> (@ _let_1 (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)) (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Z_11 tptp.state) (S0_1 tptp.state)) (forall ((S1 tptp.state)) (=> (@ (@ (@ tptp.evalc C_34) S0_1) S1) (= Z_11 S1))))) C_34) tptp.fequal_state)) tptp.bot_bo19817387tate_o))))))
% 0.66/1.05 (assert (forall ((C_34 tptp.com)) (= (@ tptp.hoare_Mirabelle_MGT C_34) (@ (@ (@ tptp.hoare_858012674_state tptp.fequal_state) C_34) (@ tptp.evalc C_34)))))
% 0.66/1.05 (assert (forall ((P tptp.pname) (S_4 tptp.state) (S1_1 tptp.state)) (=> (@ (@ (@ tptp.evalc (@ tptp.body_1 P)) S_4) S1_1) (@ (@ (@ tptp.evalc (@ tptp.the_com (@ tptp.body P))) S_4) S1_1))))
% 0.66/1.05 (assert (forall ((Pn_1 tptp.pname) (S0 tptp.state) (S1_1 tptp.state)) (=> (@ (@ (@ tptp.evalc (@ tptp.the_com (@ tptp.body Pn_1))) S0) S1_1) (@ (@ (@ tptp.evalc (@ tptp.body_1 Pn_1)) S0) S1_1))))
% 0.66/1.05 (assert (forall ((S_4 tptp.state) (T tptp.state)) (=> (@ (@ (@ tptp.evalc tptp.skip) S_4) T) (= T S_4))))
% 0.66/1.05 (assert (forall ((S_4 tptp.state)) (@ (@ (@ tptp.evalc tptp.skip) S_4) S_4)))
% 0.66/1.05 (assert (forall ((C1 tptp.com) (S2 tptp.state) (C0 tptp.com) (S0 tptp.state) (S1_1 tptp.state)) (=> (@ (@ (@ tptp.evalc C0) S0) S1_1) (=> (@ (@ (@ tptp.evalc C1) S1_1) S2) (@ (@ (@ tptp.evalc (@ (@ tptp.semi C0) C1)) S0) S2)))))
% 0.66/1.05 (assert (forall ((S2 tptp.state) (C_34 tptp.com) (S1_1 tptp.state) (B_82 (-> tptp.state Bool)) (S0 tptp.state)) (let ((_let_1 (@ tptp.evalc (@ (@ tptp.while B_82) C_34)))) (=> (@ B_82 S0) (=> (@ (@ (@ tptp.evalc C_34) S0) S1_1) (=> (@ (@ _let_1 S1_1) S2) (@ (@ _let_1 S0) S2)))))))
% 0.66/1.05 (assert (forall ((C_34 tptp.com) (B_82 (-> tptp.state Bool)) (S_4 tptp.state)) (=> (not (@ B_82 S_4)) (@ (@ (@ tptp.evalc (@ (@ tptp.while B_82) C_34)) S_4) S_4))))
% 0.66/1.05 (assert (forall ((U tptp.state) (C_34 tptp.com) (S_4 tptp.state) (T tptp.state)) (let ((_let_1 (@ (@ tptp.evalc C_34) S_4))) (=> (@ _let_1 T) (=> (@ _let_1 U) (= U T))))))
% 0.66/1.05 (assert (forall ((C1 tptp.com) (C2 tptp.com) (S_4 tptp.state) (T tptp.state)) (=> (@ (@ (@ tptp.evalc (@ (@ tptp.semi C1) C2)) S_4) T) (not (forall ((S1 tptp.state)) (=> (@ (@ (@ tptp.evalc C1) S_4) S1) (not (@ (@ (@ tptp.evalc C2) S1) T))))))))
% 0.66/1.05 (assert (forall ((B_82 (-> tptp.state Bool)) (C_34 tptp.com) (S_4 tptp.state) (T tptp.state)) (let ((_let_1 (@ B_82 S_4))) (=> (@ (@ (@ tptp.evalc (@ (@ tptp.while B_82) C_34)) S_4) T) (=> (=> (= T S_4) _let_1) (not (=> _let_1 (forall ((S1 tptp.state)) (=> (@ (@ (@ tptp.evalc C_34) S_4) S1) (not (@ (@ (@ tptp.evalc (@ (@ tptp.while B_82) C_34)) S1) T)))))))))))
% 0.66/1.05 (assert (forall ((C_33 Bool) (F_37 (-> Bool Bool)) (B_81 Bool) (A_128 Bool)) (=> (@ (@ tptp.ord_less_eq_o B_81) A_128) (=> (= (@ F_37 B_81) C_33) (=> (forall ((X_3 Bool) (Y_4 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_4) X_3) (@ (@ tptp.ord_less_eq_o (@ F_37 Y_4)) (@ F_37 X_3)))) (@ (@ tptp.ord_less_eq_o C_33) (@ F_37 A_128)))))))
% 0.66/1.05 (assert (forall ((F_37 (-> (-> tptp.pname Bool) tptp.pname Bool)) (C_33 (-> tptp.pname Bool)) (B_81 (-> tptp.pname Bool)) (A_128 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_81) A_128) (=> (= (@ F_37 B_81) C_33) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_4) X_3) (@ (@ tptp.ord_less_eq_pname_o (@ F_37 Y_4)) (@ F_37 X_3)))) (@ (@ tptp.ord_less_eq_pname_o C_33) (@ F_37 A_128)))))))
% 0.66/1.05 (assert (forall ((F_37 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (C_33 (-> tptp.hoare_1708887482_state Bool)) (B_81 (-> tptp.hoare_1708887482_state Bool)) (A_128 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_81) A_128) (=> (= (@ F_37 B_81) C_33) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_4) X_3) (@ (@ tptp.ord_le777019615tate_o (@ F_37 Y_4)) (@ F_37 X_3)))) (@ (@ tptp.ord_le777019615tate_o C_33) (@ F_37 A_128)))))))
% 0.66/1.05 (assert (forall ((B_80 (-> (-> tptp.pname Bool) Bool)) (A_127 (-> (-> tptp.pname Bool) Bool)) (F_36 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_35 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.semila2013987940me_o_o A_127) B_80))) (=> (@ (@ tptp.finite349908348name_o F_36) F_35) (=> (@ tptp.finite297249702name_o A_127) (=> (@ tptp.finite297249702name_o B_80) (=> (not (= _let_1 tptp.bot_bot_pname_o_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila181081674me_o_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))))
% 0.66/1.05 (assert (forall ((B_80 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_127 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_36 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_35 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.semila598060698te_o_o A_127) B_80))) (=> (@ (@ tptp.finite928843026tate_o F_36) F_35) (=> (@ tptp.finite1329924456tate_o A_127) (=> (@ tptp.finite1329924456tate_o B_80) (=> (not (= _let_1 tptp.bot_bo1678742418te_o_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila1853742644te_o_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))))
% 0.66/1.05 (assert (forall ((B_80 (-> tptp.pname Bool)) (A_127 (-> tptp.pname Bool)) (F_36 (-> tptp.pname tptp.pname tptp.pname)) (F_35 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ (@ tptp.semila1673364395name_o A_127) B_80))) (=> (@ (@ tptp.finite1282449217_pname F_36) F_35) (=> (@ tptp.finite_finite_pname A_127) (=> (@ tptp.finite_finite_pname B_80) (=> (not (= _let_1 tptp.bot_bot_pname_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila1780557381name_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))))
% 0.66/1.05 (assert (forall ((B_80 (-> tptp.hoare_1708887482_state Bool)) (A_127 (-> tptp.hoare_1708887482_state Bool)) (F_36 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_35 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ (@ tptp.semila129691299tate_o A_127) B_80))) (=> (@ (@ tptp.finite1615457021_state F_36) F_35) (=> (@ tptp.finite1625599783_state A_127) (=> (@ tptp.finite1625599783_state B_80) (=> (not (= _let_1 tptp.bot_bo19817387tate_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila1122118281tate_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))))
% 0.66/1.05 (assert (forall ((B_80 (-> tptp.com Bool)) (A_127 (-> tptp.com Bool)) (F_36 (-> tptp.com tptp.com tptp.com)) (F_35 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ (@ tptp.semila513601829_com_o A_127) B_80))) (=> (@ (@ tptp.finite860057415ne_com F_36) F_35) (=> (@ tptp.finite_finite_com A_127) (=> (@ tptp.finite_finite_com B_80) (=> (not (= _let_1 tptp.bot_bot_com_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila1562558655_com_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))))
% 0.66/1.05 (assert (forall ((B_79 (-> (-> tptp.pname Bool) Bool)) (A_126 (-> (-> tptp.pname Bool) Bool)) (F_34 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_33 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite349908348name_o F_34) F_33) (=> (@ tptp.finite297249702name_o A_126) (=> (not (= A_126 tptp.bot_bot_pname_o_o)) (=> (@ tptp.finite297249702name_o B_79) (=> (not (= B_79 tptp.bot_bot_pname_o_o)) (=> (= (@ (@ tptp.semila2013987940me_o_o A_126) B_79) tptp.bot_bot_pname_o_o) (= (@ F_33 (@ (@ tptp.semila181081674me_o_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))))
% 0.66/1.05 (assert (forall ((B_79 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_126 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_34 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_33 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite928843026tate_o F_34) F_33) (=> (@ tptp.finite1329924456tate_o A_126) (=> (not (= A_126 tptp.bot_bo1678742418te_o_o)) (=> (@ tptp.finite1329924456tate_o B_79) (=> (not (= B_79 tptp.bot_bo1678742418te_o_o)) (=> (= (@ (@ tptp.semila598060698te_o_o A_126) B_79) tptp.bot_bo1678742418te_o_o) (= (@ F_33 (@ (@ tptp.semila1853742644te_o_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))))
% 0.66/1.05 (assert (forall ((B_79 (-> tptp.pname Bool)) (A_126 (-> tptp.pname Bool)) (F_34 (-> tptp.pname tptp.pname tptp.pname)) (F_33 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite1282449217_pname F_34) F_33) (=> (@ tptp.finite_finite_pname A_126) (=> (not (= A_126 tptp.bot_bot_pname_o)) (=> (@ tptp.finite_finite_pname B_79) (=> (not (= B_79 tptp.bot_bot_pname_o)) (=> (= (@ (@ tptp.semila1673364395name_o A_126) B_79) tptp.bot_bot_pname_o) (= (@ F_33 (@ (@ tptp.semila1780557381name_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))))
% 0.66/1.05 (assert (forall ((B_79 (-> tptp.hoare_1708887482_state Bool)) (A_126 (-> tptp.hoare_1708887482_state Bool)) (F_34 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_33 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1615457021_state F_34) F_33) (=> (@ tptp.finite1625599783_state A_126) (=> (not (= A_126 tptp.bot_bo19817387tate_o)) (=> (@ tptp.finite1625599783_state B_79) (=> (not (= B_79 tptp.bot_bo19817387tate_o)) (=> (= (@ (@ tptp.semila129691299tate_o A_126) B_79) tptp.bot_bo19817387tate_o) (= (@ F_33 (@ (@ tptp.semila1122118281tate_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))))
% 0.66/1.05 (assert (forall ((B_79 (-> tptp.com Bool)) (A_126 (-> tptp.com Bool)) (F_34 (-> tptp.com tptp.com tptp.com)) (F_33 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_34) F_33) (=> (@ tptp.finite_finite_com A_126) (=> (not (= A_126 tptp.bot_bot_com_o)) (=> (@ tptp.finite_finite_com B_79) (=> (not (= B_79 tptp.bot_bot_com_o)) (=> (= (@ (@ tptp.semila513601829_com_o A_126) B_79) tptp.bot_bot_com_o) (= (@ F_33 (@ (@ tptp.semila1562558655_com_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))))
% 0.66/1.05 (assert (forall ((X_47 tptp.com) (A_125 (-> tptp.com Bool)) (F_32 (-> tptp.com tptp.com tptp.com)) (F_31 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ tptp.insert_com X_47))) (let ((_let_2 (@ (@ tptp.minus_minus_com_o A_125) (@ _let_1 tptp.bot_bot_com_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bot_com_o))) (=> (@ (@ tptp.finite860057415ne_com F_32) F_31) (=> (@ tptp.finite_finite_com A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))))
% 0.66/1.05 (assert (forall ((X_47 tptp.pname) (A_125 (-> tptp.pname Bool)) (F_32 (-> tptp.pname tptp.pname tptp.pname)) (F_31 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ tptp.insert_pname X_47))) (let ((_let_2 (@ (@ tptp.minus_minus_pname_o A_125) (@ _let_1 tptp.bot_bot_pname_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bot_pname_o))) (=> (@ (@ tptp.finite1282449217_pname F_32) F_31) (=> (@ tptp.finite_finite_pname A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))))
% 0.66/1.05 (assert (forall ((X_47 tptp.hoare_1708887482_state) (A_125 (-> tptp.hoare_1708887482_state Bool)) (F_32 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_31 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ tptp.insert528405184_state X_47))) (let ((_let_2 (@ (@ tptp.minus_2056855718tate_o A_125) (@ _let_1 tptp.bot_bo19817387tate_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bo19817387tate_o))) (=> (@ (@ tptp.finite1615457021_state F_32) F_31) (=> (@ tptp.finite1625599783_state A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))))
% 0.66/1.05 (assert (forall ((X_47 (-> tptp.pname Bool)) (A_125 (-> (-> tptp.pname Bool) Bool)) (F_32 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_31 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname_o X_47))) (let ((_let_2 (@ (@ tptp.minus_1480864103me_o_o A_125) (@ _let_1 tptp.bot_bot_pname_o_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bot_pname_o_o))) (=> (@ (@ tptp.finite349908348name_o F_32) F_31) (=> (@ tptp.finite297249702name_o A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))))
% 0.66/1.05 (assert (forall ((X_47 (-> tptp.hoare_1708887482_state Bool)) (A_125 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_32 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_31 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert949073679tate_o X_47))) (let ((_let_2 (@ (@ tptp.minus_548038231te_o_o A_125) (@ _let_1 tptp.bot_bo1678742418te_o_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bo1678742418te_o_o))) (=> (@ (@ tptp.finite928843026tate_o F_32) F_31) (=> (@ tptp.finite1329924456tate_o A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))))
% 0.66/1.05 (assert (forall ((X_46 tptp.com) (A_124 (-> tptp.com Bool)) (F_30 (-> tptp.com tptp.com tptp.com)) (F_29 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ (@ tptp.minus_minus_com_o A_124) (@ (@ tptp.insert_com X_46) tptp.bot_bot_com_o)))) (let ((_let_2 (@ F_29 A_124))) (let ((_let_3 (= _let_1 tptp.bot_bot_com_o))) (=> (@ (@ tptp.finite860057415ne_com F_30) F_29) (=> (@ tptp.finite_finite_com A_124) (=> (@ (@ tptp.member_com X_46) A_124) (and (=> _let_3 (= _let_2 X_46)) (=> (not _let_3) (= _let_2 (@ (@ F_30 X_46) (@ F_29 _let_1)))))))))))))
% 0.66/1.05 (assert (forall ((X_46 tptp.pname) (A_124 (-> tptp.pname Bool)) (F_30 (-> tptp.pname tptp.pname tptp.pname)) (F_29 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ (@ tptp.minus_minus_pname_o A_124) (@ (@ tptp.insert_pname X_46) tptp.bot_bot_pname_o)))) (let ((_let_2 (@ F_29 A_124))) (let ((_let_3 (= _let_1 tptp.bot_bot_pname_o))) (=> (@ (@ tptp.finite1282449217_pname F_30) F_29) (=> (@ tptp.finite_finite_pname A_124) (=> (@ (@ tptp.member_pname X_46) A_124) (and (=> _let_3 (= _let_2 X_46)) (=> (not _let_3) (= _let_2 (@ (@ F_30 X_46) (@ F_29 _let_1)))))))))))))
% 0.66/1.05 (assert (forall ((X_46 tptp.hoare_1708887482_state) (A_124 (-> tptp.hoare_1708887482_state Bool)) (F_30 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_29 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ (@ tptp.minus_2056855718tate_o A_124) (@ (@ tptp.insert528405184_state X_46) tptp.bot_bo19817387tate_o)))) (let ((_let_2 (@ F_29 A_124))) (let ((_let_3 (= _let_1 tptp.bot_bo19817387tate_o))) (=> (@ (@ tptp.finite1615457021_state F_30) F_29) (=> (@ tptp.finite1625599783_state A_124) (=> (@ (@ tptp.member451959335_state X_46) A_124) (and (=> _let_3 (= _let_2 X_46)) (=> (not _let_3) (= _let_2 (@ (@ F_30 X_46) (@ F_29 _let_1)))))))))))))
% 0.66/1.05 (assert (forall ((X_46 (-> tptp.pname Bool)) (A_124 (-> (-> tptp.pname Bool) Bool)) (F_30 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_29 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.minus_1480864103me_o_o A_124) (@ (@ tptp.insert_pname_o X_46) tptp.bot_bot_pname_o_o)))) (let ((_let_2 (@ F_29 A_124))) (let ((_let_3 (= _let_1 tptp.bot_bot_pname_o_o))) (=> (@ (@ tptp.finite349908348name_o F_30) F_29) (=> (@ tptp.finite297249702name_o A_124) (=> (@ (@ tptp.member_pname_o X_46) A_124) (and (=> _let_3 (= _let_2 X_46)) (=> (not _let_3) (= _let_2 (@ (@ F_30 X_46) (@ F_29 _let_1)))))))))))))
% 0.66/1.05 (assert (forall ((X_46 (-> tptp.hoare_1708887482_state Bool)) (A_124 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_30 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_29 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.minus_548038231te_o_o A_124) (@ (@ tptp.insert949073679tate_o X_46) tptp.bot_bo1678742418te_o_o)))) (let ((_let_2 (@ F_29 A_124))) (let ((_let_3 (= _let_1 tptp.bot_bo1678742418te_o_o))) (=> (@ (@ tptp.finite928843026tate_o F_30) F_29) (=> (@ tptp.finite1329924456tate_o A_124) (=> (@ (@ tptp.member814030440tate_o X_46) A_124) (and (=> _let_3 (= _let_2 X_46)) (=> (not _let_3) (= _let_2 (@ (@ F_30 X_46) (@ F_29 _let_1)))))))))))))
% 0.66/1.05 (assert (forall ((X_45 tptp.pname)) (not (@ tptp.is_none_pname (@ tptp.some_pname X_45)))))
% 0.66/1.05 (assert (forall ((X_45 tptp.hoare_1708887482_state)) (not (@ tptp.is_non163157940_state (@ tptp.some_H1974565227_state X_45)))))
% 0.66/1.05 (assert (forall ((X_45 tptp.com)) (not (@ tptp.is_none_com (@ tptp.some_com X_45)))))
% 0.66/1.05 (assert (forall ((Q_2 (-> tptp.state tptp.state Bool)) (G_6 (-> tptp.hoare_1708887482_state Bool)) (C_32 tptp.com) (P_7 (-> tptp.state tptp.state Bool))) (=> (forall ((Z_11 tptp.state) (S_2 tptp.state)) (=> (@ (@ P_7 Z_11) S_2) (exists ((P_8 (-> tptp.state tptp.state Bool)) (Q_3 (-> tptp.state tptp.state Bool))) (and (@ (@ tptp.hoare_90032982_state G_6) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_8) C_32) Q_3)) tptp.bot_bo19817387tate_o)) (forall ((S_3 tptp.state)) (=> (forall ((Z_12 tptp.state)) (=> (@ (@ P_8 Z_12) S_2) (@ (@ Q_3 Z_12) S_3))) (@ (@ Q_2 Z_11) S_3))))))) (@ (@ tptp.hoare_90032982_state G_6) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_7) C_32) Q_2)) tptp.bot_bo19817387tate_o)))))
% 0.66/1.05 (assert (forall ((C_31 tptp.com) (A_123 (-> tptp.com Bool)) (B_78 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_31))) (=> (@ _let_1 (@ (@ tptp.semila513601829_com_o A_123) B_78)) (not (=> (@ _let_1 A_123) (not (@ _let_1 B_78))))))))
% 0.66/1.05 (assert (forall ((C_31 tptp.pname) (A_123 (-> tptp.pname Bool)) (B_78 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_31))) (=> (@ _let_1 (@ (@ tptp.semila1673364395name_o A_123) B_78)) (not (=> (@ _let_1 A_123) (not (@ _let_1 B_78))))))))
% 0.66/1.05 (assert (forall ((C_31 tptp.hoare_1708887482_state) (A_123 (-> tptp.hoare_1708887482_state Bool)) (B_78 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_31))) (=> (@ _let_1 (@ (@ tptp.semila129691299tate_o A_123) B_78)) (not (=> (@ _let_1 A_123) (not (@ _let_1 B_78))))))))
% 0.66/1.05 (assert (forall ((B_77 (-> tptp.com Bool)) (C_30 tptp.com) (A_122 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_30))) (=> (@ _let_1 A_122) (=> (@ _let_1 B_77) (@ _let_1 (@ (@ tptp.semila513601829_com_o A_122) B_77)))))))
% 0.66/1.05 (assert (forall ((B_77 (-> tptp.pname Bool)) (C_30 tptp.pname) (A_122 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_30))) (=> (@ _let_1 A_122) (=> (@ _let_1 B_77) (@ _let_1 (@ (@ tptp.semila1673364395name_o A_122) B_77)))))))
% 0.66/1.05 (assert (forall ((B_77 (-> tptp.hoare_1708887482_state Bool)) (C_30 tptp.hoare_1708887482_state) (A_122 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_30))) (=> (@ _let_1 A_122) (=> (@ _let_1 B_77) (@ _let_1 (@ (@ tptp.semila129691299tate_o A_122) B_77)))))))
% 0.66/1.05 (assert (forall ((C_29 tptp.com) (A_121 (-> tptp.com Bool)) (B_76 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_29))) (=> (@ _let_1 (@ (@ tptp.minus_minus_com_o A_121) B_76)) (not (=> (@ _let_1 A_121) (@ _let_1 B_76)))))))
% 0.66/1.05 (assert (forall ((C_29 tptp.pname) (A_121 (-> tptp.pname Bool)) (B_76 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_29))) (=> (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_121) B_76)) (not (=> (@ _let_1 A_121) (@ _let_1 B_76)))))))
% 0.66/1.05 (assert (forall ((C_29 tptp.hoare_1708887482_state) (A_121 (-> tptp.hoare_1708887482_state Bool)) (B_76 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_29))) (=> (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_121) B_76)) (not (=> (@ _let_1 A_121) (@ _let_1 B_76)))))))
% 0.66/1.05 (assert (forall ((B_75 (-> tptp.com Bool)) (C_28 tptp.com) (A_120 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_28))) (=> (@ _let_1 A_120) (=> (not (@ _let_1 B_75)) (@ _let_1 (@ (@ tptp.minus_minus_com_o A_120) B_75)))))))
% 0.66/1.05 (assert (forall ((B_75 (-> tptp.pname Bool)) (C_28 tptp.pname) (A_120 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_28))) (=> (@ _let_1 A_120) (=> (not (@ _let_1 B_75)) (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_120) B_75)))))))
% 0.66/1.05 (assert (forall ((B_75 (-> tptp.hoare_1708887482_state Bool)) (C_28 tptp.hoare_1708887482_state) (A_120 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_28))) (=> (@ _let_1 A_120) (=> (not (@ _let_1 B_75)) (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_120) B_75)))))))
% 0.66/1.05 (assert (forall ((G_5 (-> (-> tptp.pname Bool) Bool)) (F_28 (-> (-> tptp.pname Bool) Bool))) (=> (or (@ tptp.finite297249702name_o F_28) (@ tptp.finite297249702name_o G_5)) (@ tptp.finite297249702name_o (@ (@ tptp.semila2013987940me_o_o F_28) G_5)))))
% 0.66/1.05 (assert (forall ((G_5 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_28 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (or (@ tptp.finite1329924456tate_o F_28) (@ tptp.finite1329924456tate_o G_5)) (@ tptp.finite1329924456tate_o (@ (@ tptp.semila598060698te_o_o F_28) G_5)))))
% 0.66/1.05 (assert (forall ((G_5 (-> tptp.pname Bool)) (F_28 (-> tptp.pname Bool))) (=> (or (@ tptp.finite_finite_pname F_28) (@ tptp.finite_finite_pname G_5)) (@ tptp.finite_finite_pname (@ (@ tptp.semila1673364395name_o F_28) G_5)))))
% 0.66/1.05 (assert (forall ((G_5 (-> tptp.hoare_1708887482_state Bool)) (F_28 (-> tptp.hoare_1708887482_state Bool))) (=> (or (@ tptp.finite1625599783_state F_28) (@ tptp.finite1625599783_state G_5)) (@ tptp.finite1625599783_state (@ (@ tptp.semila129691299tate_o F_28) G_5)))))
% 0.66/1.05 (assert (forall ((B_74 (-> (-> tptp.pname Bool) Bool)) (A_119 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_119) (@ tptp.finite297249702name_o (@ (@ tptp.minus_1480864103me_o_o A_119) B_74)))))
% 0.66/1.05 (assert (forall ((B_74 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_119 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_119) (@ tptp.finite1329924456tate_o (@ (@ tptp.minus_548038231te_o_o A_119) B_74)))))
% 0.66/1.05 (assert (forall ((B_74 (-> tptp.pname Bool)) (A_119 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_119) (@ tptp.finite_finite_pname (@ (@ tptp.minus_minus_pname_o A_119) B_74)))))
% 0.66/1.05 (assert (forall ((B_74 (-> tptp.hoare_1708887482_state Bool)) (A_119 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_119) (@ tptp.finite1625599783_state (@ (@ tptp.minus_2056855718tate_o A_119) B_74)))))
% 0.66/1.05 (assert (forall ((R (-> tptp.com Bool)) (S_1 (-> tptp.com Bool)) (X_3 tptp.com)) (= (@ (@ (@ tptp.semila513601829_com_o (lambda ((Y_4 tptp.com)) (@ (@ tptp.member_com Y_4) R))) (lambda ((Y_4 tptp.com)) (@ (@ tptp.member_com Y_4) S_1))) X_3) (@ (@ tptp.member_com X_3) (@ (@ tptp.semila513601829_com_o R) S_1)))))
% 0.66/1.05 (assert (forall ((R (-> tptp.pname Bool)) (S_1 (-> tptp.pname Bool)) (X_3 tptp.pname)) (= (@ (@ (@ tptp.semila1673364395name_o (lambda ((Y_4 tptp.pname)) (@ (@ tptp.member_pname Y_4) R))) (lambda ((Y_4 tptp.pname)) (@ (@ tptp.member_pname Y_4) S_1))) X_3) (@ (@ tptp.member_pname X_3) (@ (@ tptp.semila1673364395name_o R) S_1)))))
% 0.66/1.05 (assert (forall ((R (-> tptp.hoare_1708887482_state Bool)) (S_1 (-> tptp.hoare_1708887482_state Bool)) (X_3 tptp.hoare_1708887482_state)) (= (@ (@ (@ tptp.semila129691299tate_o (lambda ((Y_4 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state Y_4) R))) (lambda ((Y_4 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state Y_4) S_1))) X_3) (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.semila129691299tate_o R) S_1)))))
% 0.66/1.05 (assert (forall ((A_118 (-> tptp.com Bool)) (B_73 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o A_118) (@ (@ tptp.minus_minus_com_o B_73) A_118)) tptp.bot_bot_com_o)))
% 0.66/1.05 (assert (forall ((A_118 (-> tptp.pname Bool)) (B_73 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o A_118) (@ (@ tptp.minus_minus_pname_o B_73) A_118)) tptp.bot_bot_pname_o)))
% 0.66/1.05 (assert (forall ((A_118 (-> tptp.hoare_1708887482_state Bool)) (B_73 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o A_118) (@ (@ tptp.minus_2056855718tate_o B_73) A_118)) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((A_117 (-> tptp.com Bool)) (B_72 (-> tptp.com Bool))) (=> (= (@ (@ tptp.semila513601829_com_o A_117) B_72) tptp.bot_bot_com_o) (= (@ (@ tptp.minus_minus_com_o A_117) B_72) A_117))))
% 0.66/1.05 (assert (forall ((A_117 (-> tptp.pname Bool)) (B_72 (-> tptp.pname Bool))) (=> (= (@ (@ tptp.semila1673364395name_o A_117) B_72) tptp.bot_bot_pname_o) (= (@ (@ tptp.minus_minus_pname_o A_117) B_72) A_117))))
% 0.66/1.05 (assert (forall ((A_117 (-> tptp.hoare_1708887482_state Bool)) (B_72 (-> tptp.hoare_1708887482_state Bool))) (=> (= (@ (@ tptp.semila129691299tate_o A_117) B_72) tptp.bot_bo19817387tate_o) (= (@ (@ tptp.minus_2056855718tate_o A_117) B_72) A_117))))
% 0.66/1.05 (assert (forall ((C_27 tptp.com) (A_116 (-> tptp.com Bool)) (B_71 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_27))) (=> (@ _let_1 (@ (@ tptp.minus_minus_com_o A_116) B_71)) (not (@ _let_1 B_71))))))
% 0.66/1.05 (assert (forall ((C_27 tptp.pname) (A_116 (-> tptp.pname Bool)) (B_71 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_27))) (=> (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_116) B_71)) (not (@ _let_1 B_71))))))
% 0.66/1.05 (assert (forall ((C_27 tptp.hoare_1708887482_state) (A_116 (-> tptp.hoare_1708887482_state Bool)) (B_71 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_27))) (=> (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_116) B_71)) (not (@ _let_1 B_71))))))
% 0.66/1.05 (assert (forall ((C_26 tptp.com) (A_115 (-> tptp.com Bool)) (B_70 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_26))) (=> (@ _let_1 (@ (@ tptp.semila513601829_com_o A_115) B_70)) (@ _let_1 B_70)))))
% 0.66/1.05 (assert (forall ((C_26 tptp.pname) (A_115 (-> tptp.pname Bool)) (B_70 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_26))) (=> (@ _let_1 (@ (@ tptp.semila1673364395name_o A_115) B_70)) (@ _let_1 B_70)))))
% 0.66/1.05 (assert (forall ((C_26 tptp.hoare_1708887482_state) (A_115 (-> tptp.hoare_1708887482_state Bool)) (B_70 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_26))) (=> (@ _let_1 (@ (@ tptp.semila129691299tate_o A_115) B_70)) (@ _let_1 B_70)))))
% 0.66/1.05 (assert (forall ((C_25 tptp.com) (A_114 (-> tptp.com Bool)) (B_69 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_25))) (=> (@ _let_1 (@ (@ tptp.semila513601829_com_o A_114) B_69)) (@ _let_1 A_114)))))
% 0.66/1.05 (assert (forall ((C_25 tptp.pname) (A_114 (-> tptp.pname Bool)) (B_69 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_25))) (=> (@ _let_1 (@ (@ tptp.semila1673364395name_o A_114) B_69)) (@ _let_1 A_114)))))
% 0.66/1.05 (assert (forall ((C_25 tptp.hoare_1708887482_state) (A_114 (-> tptp.hoare_1708887482_state Bool)) (B_69 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_25))) (=> (@ _let_1 (@ (@ tptp.semila129691299tate_o A_114) B_69)) (@ _let_1 A_114)))))
% 0.66/1.05 (assert (forall ((C_24 tptp.com) (A_113 (-> tptp.com Bool)) (B_68 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_24))) (=> (@ _let_1 (@ (@ tptp.minus_minus_com_o A_113) B_68)) (@ _let_1 A_113)))))
% 0.66/1.05 (assert (forall ((C_24 tptp.pname) (A_113 (-> tptp.pname Bool)) (B_68 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_24))) (=> (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_113) B_68)) (@ _let_1 A_113)))))
% 0.66/1.05 (assert (forall ((C_24 tptp.hoare_1708887482_state) (A_113 (-> tptp.hoare_1708887482_state Bool)) (B_68 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_24))) (=> (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_113) B_68)) (@ _let_1 A_113)))))
% 0.66/1.05 (assert (forall ((C_23 tptp.com) (A_112 (-> tptp.com Bool)) (B_67 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_23))) (= (@ _let_1 (@ (@ tptp.semila513601829_com_o A_112) B_67)) (and (@ _let_1 A_112) (@ _let_1 B_67))))))
% 0.66/1.05 (assert (forall ((C_23 tptp.pname) (A_112 (-> tptp.pname Bool)) (B_67 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_23))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o A_112) B_67)) (and (@ _let_1 A_112) (@ _let_1 B_67))))))
% 0.66/1.05 (assert (forall ((C_23 tptp.hoare_1708887482_state) (A_112 (-> tptp.hoare_1708887482_state Bool)) (B_67 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_23))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o A_112) B_67)) (and (@ _let_1 A_112) (@ _let_1 B_67))))))
% 0.66/1.05 (assert (forall ((C_22 tptp.com) (A_111 (-> tptp.com Bool)) (B_66 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_22))) (= (@ _let_1 (@ (@ tptp.minus_minus_com_o A_111) B_66)) (and (@ _let_1 A_111) (not (@ _let_1 B_66)))))))
% 0.66/1.05 (assert (forall ((C_22 tptp.pname) (A_111 (-> tptp.pname Bool)) (B_66 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_22))) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_111) B_66)) (and (@ _let_1 A_111) (not (@ _let_1 B_66)))))))
% 0.66/1.05 (assert (forall ((C_22 tptp.hoare_1708887482_state) (A_111 (-> tptp.hoare_1708887482_state Bool)) (B_66 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_22))) (= (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_111) B_66)) (and (@ _let_1 A_111) (not (@ _let_1 B_66)))))))
% 0.66/1.05 (assert (forall ((A_110 (-> tptp.com Bool)) (B_65 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o A_110) B_65) (@ tptp.collect_com (lambda ((X_3 tptp.com)) (let ((_let_1 (@ tptp.member_com X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))))
% 0.66/1.05 (assert (forall ((A_110 (-> tptp.pname Bool)) (B_65 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o A_110) B_65) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))))
% 0.66/1.05 (assert (forall ((A_110 (-> tptp.hoare_1708887482_state Bool)) (B_65 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o A_110) B_65) (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))))
% 0.66/1.05 (assert (forall ((A_110 (-> (-> tptp.pname Bool) Bool)) (B_65 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.semila2013987940me_o_o A_110) B_65) (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname_o X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))))
% 0.66/1.05 (assert (forall ((A_110 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_65 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.semila598060698te_o_o A_110) B_65) (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))))
% 0.66/1.05 (assert (forall ((A_109 (-> tptp.com Bool)) (B_64 (-> tptp.com Bool))) (= (@ (@ tptp.minus_minus_com_o A_109) B_64) (@ tptp.collect_com (lambda ((X_3 tptp.com)) (let ((_let_1 (@ tptp.member_com X_3))) (and (@ _let_1 A_109) (not (@ _let_1 B_64)))))))))
% 0.66/1.05 (assert (forall ((A_109 (-> tptp.pname Bool)) (B_64 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o A_109) B_64) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (and (@ _let_1 A_109) (not (@ _let_1 B_64)))))))))
% 0.66/1.05 (assert (forall ((A_109 (-> tptp.hoare_1708887482_state Bool)) (B_64 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o A_109) B_64) (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (and (@ _let_1 A_109) (not (@ _let_1 B_64)))))))))
% 0.66/1.05 (assert (forall ((A_109 (-> (-> tptp.pname Bool) Bool)) (B_64 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.minus_1480864103me_o_o A_109) B_64) (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname_o X_3))) (and (@ _let_1 A_109) (not (@ _let_1 B_64)))))))))
% 0.66/1.05 (assert (forall ((A_109 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_64 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.minus_548038231te_o_o A_109) B_64) (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o X_3))) (and (@ _let_1 A_109) (not (@ _let_1 B_64)))))))))
% 0.66/1.05 (assert (forall ((X_44 tptp.com) (A_108 (-> tptp.com Bool)) (P_6 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com X_44))) (= (@ _let_1 (@ (@ tptp.semila513601829_com_o A_108) (@ tptp.collect_com P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))))
% 0.66/1.05 (assert (forall ((X_44 tptp.pname) (A_108 (-> tptp.pname Bool)) (P_6 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname X_44))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o A_108) (@ tptp.collect_pname P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))))
% 0.66/1.05 (assert (forall ((X_44 tptp.hoare_1708887482_state) (A_108 (-> tptp.hoare_1708887482_state Bool)) (P_6 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state X_44))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o A_108) (@ tptp.collec1568722789_state P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))))
% 0.66/1.05 (assert (forall ((X_44 (-> tptp.pname Bool)) (A_108 (-> (-> tptp.pname Bool) Bool)) (P_6 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ tptp.member_pname_o X_44))) (= (@ _let_1 (@ (@ tptp.semila2013987940me_o_o A_108) (@ tptp.collect_pname_o P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))))
% 0.66/1.05 (assert (forall ((X_44 (-> tptp.hoare_1708887482_state Bool)) (A_108 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (P_6 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ tptp.member814030440tate_o X_44))) (= (@ _let_1 (@ (@ tptp.semila598060698te_o_o A_108) (@ tptp.collec219771562tate_o P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))))
% 0.66/1.05 (assert (forall ((P_5 (-> tptp.hoare_1708887482_state Bool)) (Q_1 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (@ P_5 X_3) (@ Q_1 X_3)))) (@ (@ tptp.semila129691299tate_o (@ tptp.collec1568722789_state P_5)) (@ tptp.collec1568722789_state Q_1)))))
% 0.66/1.05 (assert (forall ((P_5 (-> tptp.pname Bool)) (Q_1 (-> tptp.pname Bool))) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (@ P_5 X_3) (@ Q_1 X_3)))) (@ (@ tptp.semila1673364395name_o (@ tptp.collect_pname P_5)) (@ tptp.collect_pname Q_1)))))
% 0.66/1.05 (assert (forall ((P_5 (-> (-> tptp.pname Bool) Bool)) (Q_1 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (@ P_5 X_3) (@ Q_1 X_3)))) (@ (@ tptp.semila2013987940me_o_o (@ tptp.collect_pname_o P_5)) (@ tptp.collect_pname_o Q_1)))))
% 0.66/1.05 (assert (forall ((P_5 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (Q_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (@ P_5 X_3) (@ Q_1 X_3)))) (@ (@ tptp.semila598060698te_o_o (@ tptp.collec219771562tate_o P_5)) (@ tptp.collec219771562tate_o Q_1)))))
% 0.66/1.05 (assert (forall ((A_107 (-> tptp.pname Bool)) (B_63 (-> tptp.pname Bool)) (C_21 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.minus_minus_pname_o A_107))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o B_63) C_21)) (@ (@ tptp.semila1780557381name_o (@ _let_1 B_63)) (@ _let_1 C_21))))))
% 0.66/1.05 (assert (forall ((A_107 (-> tptp.hoare_1708887482_state Bool)) (B_63 (-> tptp.hoare_1708887482_state Bool)) (C_21 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.minus_2056855718tate_o A_107))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o B_63) C_21)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_63)) (@ _let_1 C_21))))))
% 0.66/1.05 (assert (forall ((A_106 (-> tptp.pname Bool)) (B_62 (-> tptp.pname Bool)) (C_20 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.minus_minus_pname_o A_106))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o B_62) C_20)) (@ (@ tptp.semila1673364395name_o (@ _let_1 B_62)) (@ _let_1 C_20))))))
% 0.66/1.05 (assert (forall ((A_106 (-> tptp.hoare_1708887482_state Bool)) (B_62 (-> tptp.hoare_1708887482_state Bool)) (C_20 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.minus_2056855718tate_o A_106))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_62) C_20)) (@ (@ tptp.semila129691299tate_o (@ _let_1 B_62)) (@ _let_1 C_20))))))
% 0.66/1.05 (assert (forall ((A_105 (-> tptp.pname Bool)) (B_61 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.minus_minus_pname_o A_105) B_61)) (@ (@ tptp.semila1673364395name_o A_105) B_61)) A_105)))
% 0.66/1.05 (assert (forall ((A_105 (-> tptp.hoare_1708887482_state Bool)) (B_61 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.minus_2056855718tate_o A_105) B_61)) (@ (@ tptp.semila129691299tate_o A_105) B_61)) A_105)))
% 0.66/1.05 (assert (forall ((X_43 Bool) (Y_24 Bool)) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o X_43) Y_24)) X_43)))
% 0.66/1.05 (assert (forall ((X_43 (-> tptp.pname Bool)) (Y_24 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o X_43) Y_24)) X_43)))
% 0.66/1.05 (assert (forall ((X_43 (-> tptp.hoare_1708887482_state Bool)) (Y_24 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o X_43) Y_24)) X_43)))
% 0.66/1.05 (assert (forall ((X_42 Bool) (Y_23 Bool)) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o X_42) Y_23)) X_42)))
% 0.66/1.05 (assert (forall ((X_42 (-> tptp.pname Bool)) (Y_23 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o X_42) Y_23)) X_42)))
% 0.66/1.05 (assert (forall ((X_42 (-> tptp.hoare_1708887482_state Bool)) (Y_23 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o X_42) Y_23)) X_42)))
% 0.66/1.05 (assert (forall ((X_41 Bool) (Y_22 Bool)) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o X_41) Y_22)) Y_22)))
% 0.66/1.05 (assert (forall ((X_41 (-> tptp.pname Bool)) (Y_22 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o X_41) Y_22)) Y_22)))
% 0.66/1.05 (assert (forall ((X_41 (-> tptp.hoare_1708887482_state Bool)) (Y_22 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o X_41) Y_22)) Y_22)))
% 0.66/1.05 (assert (forall ((X_40 Bool) (Y_21 Bool)) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o X_40) Y_21)) Y_21)))
% 0.66/1.05 (assert (forall ((X_40 (-> tptp.pname Bool)) (Y_21 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o X_40) Y_21)) Y_21)))
% 0.66/1.05 (assert (forall ((X_40 (-> tptp.hoare_1708887482_state Bool)) (Y_21 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o X_40) Y_21)) Y_21)))
% 0.66/1.05 (assert (forall ((X_39 Bool) (Y_20 Bool)) (= (@ (@ tptp.ord_less_eq_o X_39) Y_20) (= (@ (@ tptp.semila854092349_inf_o X_39) Y_20) X_39))))
% 0.66/1.05 (assert (forall ((X_39 (-> tptp.pname Bool)) (Y_20 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o X_39) Y_20) (= (@ (@ tptp.semila1673364395name_o X_39) Y_20) X_39))))
% 0.66/1.05 (assert (forall ((X_39 (-> tptp.hoare_1708887482_state Bool)) (Y_20 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o X_39) Y_20) (= (@ (@ tptp.semila129691299tate_o X_39) Y_20) X_39))))
% 0.66/1.05 (assert (forall ((X_38 Bool) (Y_19 Bool) (Z_10 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_38))) (= (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_19) Z_10)) (and (@ _let_1 Y_19) (@ _let_1 Z_10))))))
% 0.66/1.05 (assert (forall ((X_38 (-> tptp.pname Bool)) (Y_19 (-> tptp.pname Bool)) (Z_10 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_38))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_19) Z_10)) (and (@ _let_1 Y_19) (@ _let_1 Z_10))))))
% 0.66/1.05 (assert (forall ((X_38 (-> tptp.hoare_1708887482_state Bool)) (Y_19 (-> tptp.hoare_1708887482_state Bool)) (Z_10 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_38))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_19) Z_10)) (and (@ _let_1 Y_19) (@ _let_1 Z_10))))))
% 0.66/1.05 (assert (forall ((B_60 Bool) (A_104 Bool) (X_37 Bool)) (=> (@ (@ tptp.ord_less_eq_o A_104) X_37) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o A_104) B_60)) X_37))))
% 0.66/1.05 (assert (forall ((B_60 (-> tptp.pname Bool)) (A_104 (-> tptp.pname Bool)) (X_37 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_104) X_37) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_104) B_60)) X_37))))
% 0.66/1.05 (assert (forall ((B_60 (-> tptp.hoare_1708887482_state Bool)) (A_104 (-> tptp.hoare_1708887482_state Bool)) (X_37 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_104) X_37) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_104) B_60)) X_37))))
% 0.66/1.05 (assert (forall ((A_103 Bool) (B_59 Bool) (X_36 Bool)) (=> (@ (@ tptp.ord_less_eq_o B_59) X_36) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o A_103) B_59)) X_36))))
% 0.66/1.05 (assert (forall ((A_103 (-> tptp.pname Bool)) (B_59 (-> tptp.pname Bool)) (X_36 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_59) X_36) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_103) B_59)) X_36))))
% 0.66/1.05 (assert (forall ((A_103 (-> tptp.hoare_1708887482_state Bool)) (B_59 (-> tptp.hoare_1708887482_state Bool)) (X_36 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_59) X_36) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_103) B_59)) X_36))))
% 0.66/1.05 (assert (forall ((X_35 Bool) (Y_18 Bool)) (=> (@ (@ tptp.ord_less_eq_o X_35) Y_18) (= (@ (@ tptp.semila854092349_inf_o X_35) Y_18) X_35))))
% 0.66/1.05 (assert (forall ((X_35 (-> tptp.pname Bool)) (Y_18 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o X_35) Y_18) (= (@ (@ tptp.semila1673364395name_o X_35) Y_18) X_35))))
% 0.66/1.05 (assert (forall ((X_35 (-> tptp.hoare_1708887482_state Bool)) (Y_18 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o X_35) Y_18) (= (@ (@ tptp.semila129691299tate_o X_35) Y_18) X_35))))
% 0.66/1.05 (assert (forall ((Y_17 Bool) (X_34 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_17) X_34) (= (@ (@ tptp.semila854092349_inf_o X_34) Y_17) Y_17))))
% 0.66/1.05 (assert (forall ((Y_17 (-> tptp.pname Bool)) (X_34 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_17) X_34) (= (@ (@ tptp.semila1673364395name_o X_34) Y_17) Y_17))))
% 0.66/1.05 (assert (forall ((Y_17 (-> tptp.hoare_1708887482_state Bool)) (X_34 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_17) X_34) (= (@ (@ tptp.semila129691299tate_o X_34) Y_17) Y_17))))
% 0.66/1.05 (assert (forall ((B_58 Bool) (X_33 Bool) (A_102 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_33))) (=> (@ _let_1 A_102) (=> (@ _let_1 B_58) (@ _let_1 (@ (@ tptp.semila854092349_inf_o A_102) B_58)))))))
% 0.66/1.05 (assert (forall ((B_58 (-> tptp.pname Bool)) (X_33 (-> tptp.pname Bool)) (A_102 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_33))) (=> (@ _let_1 A_102) (=> (@ _let_1 B_58) (@ _let_1 (@ (@ tptp.semila1673364395name_o A_102) B_58)))))))
% 0.66/1.05 (assert (forall ((B_58 (-> tptp.hoare_1708887482_state Bool)) (X_33 (-> tptp.hoare_1708887482_state Bool)) (A_102 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_33))) (=> (@ _let_1 A_102) (=> (@ _let_1 B_58) (@ _let_1 (@ (@ tptp.semila129691299tate_o A_102) B_58)))))))
% 0.66/1.05 (assert (forall ((Z_9 Bool) (X_32 Bool) (Y_16 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_32))) (=> (@ _let_1 Y_16) (=> (@ _let_1 Z_9) (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_16) Z_9)))))))
% 0.66/1.05 (assert (forall ((Z_9 (-> tptp.pname Bool)) (X_32 (-> tptp.pname Bool)) (Y_16 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_32))) (=> (@ _let_1 Y_16) (=> (@ _let_1 Z_9) (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_16) Z_9)))))))
% 0.66/1.05 (assert (forall ((Z_9 (-> tptp.hoare_1708887482_state Bool)) (X_32 (-> tptp.hoare_1708887482_state Bool)) (Y_16 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_32))) (=> (@ _let_1 Y_16) (=> (@ _let_1 Z_9) (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_16) Z_9)))))))
% 0.66/1.05 (assert (forall ((B_57 Bool) (D_2 Bool) (A_101 Bool) (C_19 Bool)) (=> (@ (@ tptp.ord_less_eq_o A_101) C_19) (=> (@ (@ tptp.ord_less_eq_o B_57) D_2) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o A_101) B_57)) (@ (@ tptp.semila854092349_inf_o C_19) D_2))))))
% 0.66/1.05 (assert (forall ((B_57 (-> tptp.pname Bool)) (D_2 (-> tptp.pname Bool)) (A_101 (-> tptp.pname Bool)) (C_19 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_101) C_19) (=> (@ (@ tptp.ord_less_eq_pname_o B_57) D_2) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_101) B_57)) (@ (@ tptp.semila1673364395name_o C_19) D_2))))))
% 0.66/1.05 (assert (forall ((B_57 (-> tptp.hoare_1708887482_state Bool)) (D_2 (-> tptp.hoare_1708887482_state Bool)) (A_101 (-> tptp.hoare_1708887482_state Bool)) (C_19 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_101) C_19) (=> (@ (@ tptp.ord_le777019615tate_o B_57) D_2) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_101) B_57)) (@ (@ tptp.semila129691299tate_o C_19) D_2))))))
% 0.66/1.05 (assert (forall ((X_31 Bool) (A_100 Bool) (B_56 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_31))) (=> (@ _let_1 (@ (@ tptp.semila854092349_inf_o A_100) B_56)) (not (=> (@ _let_1 A_100) (not (@ _let_1 B_56))))))))
% 0.66/1.05 (assert (forall ((X_31 (-> tptp.pname Bool)) (A_100 (-> tptp.pname Bool)) (B_56 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_31))) (=> (@ _let_1 (@ (@ tptp.semila1673364395name_o A_100) B_56)) (not (=> (@ _let_1 A_100) (not (@ _let_1 B_56))))))))
% 0.66/1.05 (assert (forall ((X_31 (-> tptp.hoare_1708887482_state Bool)) (A_100 (-> tptp.hoare_1708887482_state Bool)) (B_56 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_31))) (=> (@ _let_1 (@ (@ tptp.semila129691299tate_o A_100) B_56)) (not (=> (@ _let_1 A_100) (not (@ _let_1 B_56))))))))
% 0.66/1.05 (assert (forall ((X_30 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o X_30) tptp.bot_bot_com_o) tptp.bot_bot_com_o)))
% 0.66/1.05 (assert (forall ((X_30 Bool)) (= (@ (@ tptp.semila854092349_inf_o X_30) tptp.bot_bot_o) tptp.bot_bot_o)))
% 0.66/1.05 (assert (forall ((X_30 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o X_30) tptp.bot_bot_pname_o) tptp.bot_bot_pname_o)))
% 0.66/1.05 (assert (forall ((X_30 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o X_30) tptp.bot_bo19817387tate_o) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((X_29 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o tptp.bot_bot_com_o) X_29) tptp.bot_bot_com_o)))
% 0.66/1.05 (assert (forall ((X_29 Bool)) (= (@ (@ tptp.semila854092349_inf_o tptp.bot_bot_o) X_29) tptp.bot_bot_o)))
% 0.66/1.05 (assert (forall ((X_29 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o tptp.bot_bot_pname_o) X_29) tptp.bot_bot_pname_o)))
% 0.66/1.05 (assert (forall ((X_29 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o tptp.bot_bo19817387tate_o) X_29) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((X_28 Bool) (Y_15 Bool)) (= (@ (@ tptp.semila854092349_inf_o X_28) (@ (@ tptp.semila10642723_sup_o X_28) Y_15)) X_28)))
% 0.66/1.05 (assert (forall ((X_28 (-> tptp.pname Bool)) (Y_15 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o X_28) (@ (@ tptp.semila1780557381name_o X_28) Y_15)) X_28)))
% 0.66/1.05 (assert (forall ((X_28 (-> tptp.hoare_1708887482_state Bool)) (Y_15 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o X_28) (@ (@ tptp.semila1122118281tate_o X_28) Y_15)) X_28)))
% 0.66/1.05 (assert (forall ((X_27 Bool) (Y_14 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_27) (@ (@ tptp.semila854092349_inf_o X_27) Y_14)) X_27)))
% 0.66/1.05 (assert (forall ((X_27 (-> tptp.pname Bool)) (Y_14 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o X_27) (@ (@ tptp.semila1673364395name_o X_27) Y_14)) X_27)))
% 0.66/1.05 (assert (forall ((X_27 (-> tptp.hoare_1708887482_state Bool)) (Y_14 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_27) (@ (@ tptp.semila129691299tate_o X_27) Y_14)) X_27)))
% 0.66/1.05 (assert (forall ((X_26 Bool) (Y_13 Bool) (Z_8 Bool)) (let ((_let_1 (@ tptp.semila854092349_inf_o X_26))) (= (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_13) Z_8)) (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_13)) (@ _let_1 Z_8))))))
% 0.66/1.05 (assert (forall ((X_26 (-> tptp.pname Bool)) (Y_13 (-> tptp.pname Bool)) (Z_8 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o X_26))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_13) Z_8)) (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_13)) (@ _let_1 Z_8))))))
% 0.66/1.05 (assert (forall ((X_26 (-> tptp.hoare_1708887482_state Bool)) (Y_13 (-> tptp.hoare_1708887482_state Bool)) (Z_8 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o X_26))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_13) Z_8)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_13)) (@ _let_1 Z_8))))))
% 0.66/1.05 (assert (forall ((X_25 Bool) (Y_12 Bool) (Z_7 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_25))) (= (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_12) Z_7)) (@ (@ tptp.semila854092349_inf_o (@ _let_1 Y_12)) (@ _let_1 Z_7))))))
% 0.66/1.05 (assert (forall ((X_25 (-> tptp.pname Bool)) (Y_12 (-> tptp.pname Bool)) (Z_7 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_25))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_12) Z_7)) (@ (@ tptp.semila1673364395name_o (@ _let_1 Y_12)) (@ _let_1 Z_7))))))
% 0.66/1.05 (assert (forall ((X_25 (-> tptp.hoare_1708887482_state Bool)) (Y_12 (-> tptp.hoare_1708887482_state Bool)) (Z_7 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_25))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_12) Z_7)) (@ (@ tptp.semila129691299tate_o (@ _let_1 Y_12)) (@ _let_1 Z_7))))))
% 0.66/1.05 (assert (forall ((Y_11 Bool) (Z_6 Bool) (X_24 Bool)) (= (@ (@ tptp.semila854092349_inf_o (@ (@ tptp.semila10642723_sup_o Y_11) Z_6)) X_24) (@ (@ tptp.semila10642723_sup_o (@ (@ tptp.semila854092349_inf_o Y_11) X_24)) (@ (@ tptp.semila854092349_inf_o Z_6) X_24)))))
% 0.66/1.05 (assert (forall ((Y_11 (-> tptp.pname Bool)) (Z_6 (-> tptp.pname Bool)) (X_24 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o Y_11) Z_6)) X_24) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o Y_11) X_24)) (@ (@ tptp.semila1673364395name_o Z_6) X_24)))))
% 0.66/1.05 (assert (forall ((Y_11 (-> tptp.hoare_1708887482_state Bool)) (Z_6 (-> tptp.hoare_1708887482_state Bool)) (X_24 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o Y_11) Z_6)) X_24) (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o Y_11) X_24)) (@ (@ tptp.semila129691299tate_o Z_6) X_24)))))
% 0.66/1.05 (assert (forall ((Y_10 Bool) (Z_5 Bool) (X_23 Bool)) (= (@ (@ tptp.semila10642723_sup_o (@ (@ tptp.semila854092349_inf_o Y_10) Z_5)) X_23) (@ (@ tptp.semila854092349_inf_o (@ (@ tptp.semila10642723_sup_o Y_10) X_23)) (@ (@ tptp.semila10642723_sup_o Z_5) X_23)))))
% 0.66/1.05 (assert (forall ((Y_10 (-> tptp.pname Bool)) (Z_5 (-> tptp.pname Bool)) (X_23 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o Y_10) Z_5)) X_23) (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o Y_10) X_23)) (@ (@ tptp.semila1780557381name_o Z_5) X_23)))))
% 0.66/1.05 (assert (forall ((Y_10 (-> tptp.hoare_1708887482_state Bool)) (Z_5 (-> tptp.hoare_1708887482_state Bool)) (X_23 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o Y_10) Z_5)) X_23) (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o Y_10) X_23)) (@ (@ tptp.semila1122118281tate_o Z_5) X_23)))))
% 0.66/1.05 (assert (forall ((A_99 (-> tptp.com Bool))) (= (@ (@ tptp.minus_minus_com_o A_99) A_99) tptp.bot_bot_com_o)))
% 0.66/1.05 (assert (forall ((A_99 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o A_99) A_99) tptp.bot_bot_pname_o)))
% 0.66/1.05 (assert (forall ((A_99 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o A_99) A_99) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((A_98 (-> tptp.com Bool))) (= (@ (@ tptp.minus_minus_com_o A_98) tptp.bot_bot_com_o) A_98)))
% 0.66/1.05 (assert (forall ((A_98 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o A_98) tptp.bot_bot_pname_o) A_98)))
% 0.66/1.05 (assert (forall ((A_98 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o A_98) tptp.bot_bo19817387tate_o) A_98)))
% 0.66/1.05 (assert (forall ((A_97 (-> tptp.com Bool))) (= (@ (@ tptp.minus_minus_com_o tptp.bot_bot_com_o) A_97) tptp.bot_bot_com_o)))
% 0.66/1.05 (assert (forall ((A_97 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o tptp.bot_bot_pname_o) A_97) tptp.bot_bot_pname_o)))
% 0.66/1.05 (assert (forall ((A_97 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o tptp.bot_bo19817387tate_o) A_97) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((A_96 (-> (-> tptp.pname Bool) Bool)) (B_55 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o B_55) (= (@ tptp.finite297249702name_o (@ (@ tptp.minus_1480864103me_o_o A_96) B_55)) (@ tptp.finite297249702name_o A_96)))))
% 0.66/1.05 (assert (forall ((A_96 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_55 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o B_55) (= (@ tptp.finite1329924456tate_o (@ (@ tptp.minus_548038231te_o_o A_96) B_55)) (@ tptp.finite1329924456tate_o A_96)))))
% 0.66/1.05 (assert (forall ((A_96 (-> tptp.pname Bool)) (B_55 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_55) (= (@ tptp.finite_finite_pname (@ (@ tptp.minus_minus_pname_o A_96) B_55)) (@ tptp.finite_finite_pname A_96)))))
% 0.66/1.05 (assert (forall ((A_96 (-> tptp.hoare_1708887482_state Bool)) (B_55 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_55) (= (@ tptp.finite1625599783_state (@ (@ tptp.minus_2056855718tate_o A_96) B_55)) (@ tptp.finite1625599783_state A_96)))))
% 0.66/1.05 (assert (forall ((A_95 (-> tptp.com Bool)) (X_22 tptp.com) (B_54 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_22) B_54) (= (@ (@ tptp.minus_minus_com_o (@ (@ tptp.insert_com X_22) A_95)) B_54) (@ (@ tptp.minus_minus_com_o A_95) B_54)))))
% 0.66/1.05 (assert (forall ((A_95 (-> tptp.pname Bool)) (X_22 tptp.pname) (B_54 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_22) B_54) (= (@ (@ tptp.minus_minus_pname_o (@ (@ tptp.insert_pname X_22) A_95)) B_54) (@ (@ tptp.minus_minus_pname_o A_95) B_54)))))
% 0.66/1.05 (assert (forall ((A_95 (-> tptp.hoare_1708887482_state Bool)) (X_22 tptp.hoare_1708887482_state) (B_54 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_22) B_54) (= (@ (@ tptp.minus_2056855718tate_o (@ (@ tptp.insert528405184_state X_22) A_95)) B_54) (@ (@ tptp.minus_2056855718tate_o A_95) B_54)))))
% 0.66/1.05 (assert (forall ((A_94 (-> tptp.com Bool)) (X_21 tptp.com) (B_53 (-> tptp.com Bool))) (let ((_let_1 (@ (@ tptp.minus_minus_com_o A_94) B_53))) (let ((_let_2 (@ tptp.insert_com X_21))) (let ((_let_3 (@ (@ tptp.minus_minus_com_o (@ _let_2 A_94)) B_53))) (let ((_let_4 (@ (@ tptp.member_com X_21) B_53))) (and (=> _let_4 (= _let_3 _let_1)) (=> (not _let_4) (= _let_3 (@ _let_2 _let_1))))))))))
% 0.66/1.05 (assert (forall ((A_94 (-> tptp.pname Bool)) (X_21 tptp.pname) (B_53 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.minus_minus_pname_o A_94) B_53))) (let ((_let_2 (@ tptp.insert_pname X_21))) (let ((_let_3 (@ (@ tptp.minus_minus_pname_o (@ _let_2 A_94)) B_53))) (let ((_let_4 (@ (@ tptp.member_pname X_21) B_53))) (and (=> _let_4 (= _let_3 _let_1)) (=> (not _let_4) (= _let_3 (@ _let_2 _let_1))))))))))
% 0.66/1.05 (assert (forall ((A_94 (-> tptp.hoare_1708887482_state Bool)) (X_21 tptp.hoare_1708887482_state) (B_53 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.minus_2056855718tate_o A_94) B_53))) (let ((_let_2 (@ tptp.insert528405184_state X_21))) (let ((_let_3 (@ (@ tptp.minus_2056855718tate_o (@ _let_2 A_94)) B_53))) (let ((_let_4 (@ (@ tptp.member451959335_state X_21) B_53))) (and (=> _let_4 (= _let_3 _let_1)) (=> (not _let_4) (= _let_3 (@ _let_2 _let_1))))))))))
% 0.66/1.05 (assert (forall ((A_93 (-> tptp.com Bool)) (B_52 (-> tptp.com Bool))) (= (= (@ (@ tptp.semila513601829_com_o A_93) B_52) tptp.bot_bot_com_o) (forall ((X_3 tptp.com)) (=> (@ (@ tptp.member_com X_3) A_93) (forall ((Xa tptp.com)) (=> (@ (@ tptp.member_com Xa) B_52) (not (= X_3 Xa)))))))))
% 0.66/1.05 (assert (forall ((A_93 (-> tptp.pname Bool)) (B_52 (-> tptp.pname Bool))) (= (= (@ (@ tptp.semila1673364395name_o A_93) B_52) tptp.bot_bot_pname_o) (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_93) (forall ((Xa tptp.pname)) (=> (@ (@ tptp.member_pname Xa) B_52) (not (= X_3 Xa)))))))))
% 0.66/1.05 (assert (forall ((A_93 (-> tptp.hoare_1708887482_state Bool)) (B_52 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.semila129691299tate_o A_93) B_52) tptp.bot_bo19817387tate_o) (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_93) (forall ((Xa tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state Xa) B_52) (not (= X_3 Xa)))))))))
% 0.66/1.05 (assert (forall ((A_92 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o A_92) tptp.bot_bot_com_o) tptp.bot_bot_com_o)))
% 0.66/1.05 (assert (forall ((A_92 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o A_92) tptp.bot_bot_pname_o) tptp.bot_bot_pname_o)))
% 0.66/1.05 (assert (forall ((A_92 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o A_92) tptp.bot_bo19817387tate_o) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((B_51 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o tptp.bot_bot_com_o) B_51) tptp.bot_bot_com_o)))
% 0.66/1.05 (assert (forall ((B_51 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o tptp.bot_bot_pname_o) B_51) tptp.bot_bot_pname_o)))
% 0.66/1.05 (assert (forall ((B_51 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o tptp.bot_bo19817387tate_o) B_51) tptp.bot_bo19817387tate_o)))
% 0.66/1.05 (assert (forall ((C_18 (-> tptp.pname Bool)) (A_91 (-> tptp.pname Bool)) (B_50 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_91) B_50) (=> (@ (@ tptp.ord_less_eq_pname_o B_50) C_18) (= (@ (@ tptp.minus_minus_pname_o B_50) (@ (@ tptp.minus_minus_pname_o C_18) A_91)) A_91)))))
% 0.66/1.05 (assert (forall ((C_18 (-> tptp.hoare_1708887482_state Bool)) (A_91 (-> tptp.hoare_1708887482_state Bool)) (B_50 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_91) B_50) (=> (@ (@ tptp.ord_le777019615tate_o B_50) C_18) (= (@ (@ tptp.minus_2056855718tate_o B_50) (@ (@ tptp.minus_2056855718tate_o C_18) A_91)) A_91)))))
% 0.66/1.05 (assert (forall ((D_1 (-> tptp.pname Bool)) (B_49 (-> tptp.pname Bool)) (A_90 (-> tptp.pname Bool)) (C_17 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_90) C_17) (=> (@ (@ tptp.ord_less_eq_pname_o D_1) B_49) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_90) B_49)) (@ (@ tptp.minus_minus_pname_o C_17) D_1))))))
% 0.66/1.05 (assert (forall ((D_1 (-> tptp.hoare_1708887482_state Bool)) (B_49 (-> tptp.hoare_1708887482_state Bool)) (A_90 (-> tptp.hoare_1708887482_state Bool)) (C_17 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_90) C_17) (=> (@ (@ tptp.ord_le777019615tate_o D_1) B_49) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_90) B_49)) (@ (@ tptp.minus_2056855718tate_o C_17) D_1))))))
% 0.66/1.05 (assert (forall ((A_89 (-> tptp.pname Bool)) (B_48 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_89) B_48)) A_89)))
% 0.66/1.05 (assert (forall ((A_89 (-> tptp.hoare_1708887482_state Bool)) (B_48 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_89) B_48)) A_89)))
% 0.66/1.05 (assert (forall ((A_88 (-> tptp.pname Bool)) (B_47 (-> tptp.pname Bool)) (C_16 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o (@ (@ tptp.semila1780557381name_o A_88) B_47)) C_16) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.minus_minus_pname_o A_88) C_16)) (@ (@ tptp.minus_minus_pname_o B_47) C_16)))))
% 0.66/1.05 (assert (forall ((A_88 (-> tptp.hoare_1708887482_state Bool)) (B_47 (-> tptp.hoare_1708887482_state Bool)) (C_16 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o (@ (@ tptp.semila1122118281tate_o A_88) B_47)) C_16) (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.minus_2056855718tate_o A_88) C_16)) (@ (@ tptp.minus_2056855718tate_o B_47) C_16)))))
% 0.66/1.05 (assert (forall ((B_46 (-> tptp.pname Bool)) (A_87 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.minus_minus_pname_o B_46) A_87)) A_87) (@ (@ tptp.semila1780557381name_o B_46) A_87))))
% 0.66/1.05 (assert (forall ((B_46 (-> tptp.hoare_1708887482_state Bool)) (A_87 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.minus_2056855718tate_o B_46) A_87)) A_87) (@ (@ tptp.semila1122118281tate_o B_46) A_87))))
% 0.66/1.05 (assert (forall ((A_86 (-> tptp.pname Bool)) (B_45 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_86))) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o B_45) A_86)) (@ _let_1 B_45)))))
% 0.66/1.05 (assert (forall ((A_86 (-> tptp.hoare_1708887482_state Bool)) (B_45 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_86))) (= (@ _let_1 (@ (@ tptp.minus_2056855718tate_o B_45) A_86)) (@ _let_1 B_45)))))
% 0.66/1.05 (assert (forall ((B_44 (-> tptp.com Bool)) (A_85 tptp.com) (C_15 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_85))) (=> (@ (@ tptp.member_com A_85) C_15) (= (@ (@ tptp.semila513601829_com_o (@ _let_1 B_44)) C_15) (@ _let_1 (@ (@ tptp.semila513601829_com_o B_44) C_15)))))))
% 0.66/1.05 (assert (forall ((B_44 (-> tptp.pname Bool)) (A_85 tptp.pname) (C_15 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_85))) (=> (@ (@ tptp.member_pname A_85) C_15) (= (@ (@ tptp.semila1673364395name_o (@ _let_1 B_44)) C_15) (@ _let_1 (@ (@ tptp.semila1673364395name_o B_44) C_15)))))))
% 0.66/1.05 (assert (forall ((B_44 (-> tptp.hoare_1708887482_state Bool)) (A_85 tptp.hoare_1708887482_state) (C_15 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_85))) (=> (@ (@ tptp.member451959335_state A_85) C_15) (= (@ (@ tptp.semila129691299tate_o (@ _let_1 B_44)) C_15) (@ _let_1 (@ (@ tptp.semila129691299tate_o B_44) C_15)))))))
% 0.66/1.05 (assert (forall ((B_43 (-> tptp.com Bool)) (A_84 tptp.com) (A_83 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.semila513601829_com_o A_83))) (let ((_let_2 (@ tptp.insert_com A_84))) (=> (@ (@ tptp.member_com A_84) A_83) (= (@ _let_1 (@ _let_2 B_43)) (@ _let_2 (@ _let_1 B_43))))))))
% 0.66/1.05 (assert (forall ((B_43 (-> tptp.pname Bool)) (A_84 tptp.pname) (A_83 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_83))) (let ((_let_2 (@ tptp.insert_pname A_84))) (=> (@ (@ tptp.member_pname A_84) A_83) (= (@ _let_1 (@ _let_2 B_43)) (@ _let_2 (@ _let_1 B_43))))))))
% 0.66/1.05 (assert (forall ((B_43 (-> tptp.hoare_1708887482_state Bool)) (A_84 tptp.hoare_1708887482_state) (A_83 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_83))) (let ((_let_2 (@ tptp.insert528405184_state A_84))) (=> (@ (@ tptp.member451959335_state A_84) A_83) (= (@ _let_1 (@ _let_2 B_43)) (@ _let_2 (@ _let_1 B_43))))))))
% 0.66/1.05 (assert (forall ((B_42 (-> tptp.com Bool)) (A_82 tptp.com) (C_14 (-> tptp.com Bool))) (=> (not (@ (@ tptp.member_com A_82) C_14)) (= (@ (@ tptp.semila513601829_com_o (@ (@ tptp.insert_com A_82) B_42)) C_14) (@ (@ tptp.semila513601829_com_o B_42) C_14)))))
% 0.66/1.05 (assert (forall ((B_42 (-> tptp.pname Bool)) (A_82 tptp.pname) (C_14 (-> tptp.pname Bool))) (=> (not (@ (@ tptp.member_pname A_82) C_14)) (= (@ (@ tptp.semila1673364395name_o (@ (@ tptp.insert_pname A_82) B_42)) C_14) (@ (@ tptp.semila1673364395name_o B_42) C_14)))))
% 0.66/1.05 (assert (forall ((B_42 (-> tptp.hoare_1708887482_state Bool)) (A_82 tptp.hoare_1708887482_state) (C_14 (-> tptp.hoare_1708887482_state Bool))) (=> (not (@ (@ tptp.member451959335_state A_82) C_14)) (= (@ (@ tptp.semila129691299tate_o (@ (@ tptp.insert528405184_state A_82) B_42)) C_14) (@ (@ tptp.semila129691299tate_o B_42) C_14)))))
% 0.66/1.05 (assert (forall ((B_41 (-> tptp.com Bool)) (A_81 tptp.com) (A_80 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.semila513601829_com_o A_80))) (=> (not (@ (@ tptp.member_com A_81) A_80)) (= (@ _let_1 (@ (@ tptp.insert_com A_81) B_41)) (@ _let_1 B_41))))))
% 0.66/1.05 (assert (forall ((B_41 (-> tptp.pname Bool)) (A_81 tptp.pname) (A_80 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_80))) (=> (not (@ (@ tptp.member_pname A_81) A_80)) (= (@ _let_1 (@ (@ tptp.insert_pname A_81) B_41)) (@ _let_1 B_41))))))
% 0.66/1.05 (assert (forall ((B_41 (-> tptp.hoare_1708887482_state Bool)) (A_81 tptp.hoare_1708887482_state) (A_80 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_80))) (=> (not (@ (@ tptp.member451959335_state A_81) A_80)) (= (@ _let_1 (@ (@ tptp.insert528405184_state A_81) B_41)) (@ _let_1 B_41))))))
% 0.66/1.05 (assert (forall ((A_79 tptp.com) (A_78 (-> tptp.com Bool)) (B_40 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_79))) (= (@ (@ tptp.semila513601829_com_o (@ _let_1 A_78)) (@ _let_1 B_40)) (@ _let_1 (@ (@ tptp.semila513601829_com_o A_78) B_40))))))
% 0.66/1.05 (assert (forall ((A_79 tptp.pname) (A_78 (-> tptp.pname Bool)) (B_40 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_79))) (= (@ (@ tptp.semila1673364395name_o (@ _let_1 A_78)) (@ _let_1 B_40)) (@ _let_1 (@ (@ tptp.semila1673364395name_o A_78) B_40))))))
% 0.66/1.05 (assert (forall ((A_79 tptp.hoare_1708887482_state) (A_78 (-> tptp.hoare_1708887482_state Bool)) (B_40 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_79))) (= (@ (@ tptp.semila129691299tate_o (@ _let_1 A_78)) (@ _let_1 B_40)) (@ _let_1 (@ (@ tptp.semila129691299tate_o A_78) B_40))))))
% 0.66/1.05 (assert (forall ((B_39 (-> tptp.com Bool)) (A_77 tptp.com) (C_13 (-> tptp.com Bool))) (let ((_let_1 (@ (@ tptp.semila513601829_com_o B_39) C_13))) (let ((_let_2 (@ tptp.insert_com A_77))) (let ((_let_3 (@ (@ tptp.semila513601829_com_o (@ _let_2 B_39)) C_13))) (let ((_let_4 (@ (@ tptp.member_com A_77) C_13))) (and (=> _let_4 (= _let_3 (@ _let_2 _let_1))) (=> (not _let_4) (= _let_3 _let_1)))))))))
% 0.66/1.05 (assert (forall ((B_39 (-> tptp.pname Bool)) (A_77 tptp.pname) (C_13 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.semila1673364395name_o B_39) C_13))) (let ((_let_2 (@ tptp.insert_pname A_77))) (let ((_let_3 (@ (@ tptp.semila1673364395name_o (@ _let_2 B_39)) C_13))) (let ((_let_4 (@ (@ tptp.member_pname A_77) C_13))) (and (=> _let_4 (= _let_3 (@ _let_2 _let_1))) (=> (not _let_4) (= _let_3 _let_1)))))))))
% 0.66/1.05 (assert (forall ((B_39 (-> tptp.hoare_1708887482_state Bool)) (A_77 tptp.hoare_1708887482_state) (C_13 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.semila129691299tate_o B_39) C_13))) (let ((_let_2 (@ tptp.insert528405184_state A_77))) (let ((_let_3 (@ (@ tptp.semila129691299tate_o (@ _let_2 B_39)) C_13))) (let ((_let_4 (@ (@ tptp.member451959335_state A_77) C_13))) (and (=> _let_4 (= _let_3 (@ _let_2 _let_1))) (=> (not _let_4) (= _let_3 _let_1)))))))))
% 0.66/1.05 (assert (forall ((B_38 (-> tptp.com Bool)) (A_76 tptp.com) (A_75 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.semila513601829_com_o A_75))) (let ((_let_2 (@ _let_1 B_38))) (let ((_let_3 (@ tptp.insert_com A_76))) (let ((_let_4 (@ _let_1 (@ _let_3 B_38)))) (let ((_let_5 (@ (@ tptp.member_com A_76) A_75))) (and (=> _let_5 (= _let_4 (@ _let_3 _let_2))) (=> (not _let_5) (= _let_4 _let_2))))))))))
% 0.66/1.05 (assert (forall ((B_38 (-> tptp.pname Bool)) (A_76 tptp.pname) (A_75 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_75))) (let ((_let_2 (@ _let_1 B_38))) (let ((_let_3 (@ tptp.insert_pname A_76))) (let ((_let_4 (@ _let_1 (@ _let_3 B_38)))) (let ((_let_5 (@ (@ tptp.member_pname A_76) A_75))) (and (=> _let_5 (= _let_4 (@ _let_3 _let_2))) (=> (not _let_5) (= _let_4 _let_2))))))))))
% 0.66/1.05 (assert (forall ((B_38 (-> tptp.hoare_1708887482_state Bool)) (A_76 tptp.hoare_1708887482_state) (A_75 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_75))) (let ((_let_2 (@ _let_1 B_38))) (let ((_let_3 (@ tptp.insert528405184_state A_76))) (let ((_let_4 (@ _let_1 (@ _let_3 B_38)))) (let ((_let_5 (@ (@ tptp.member451959335_state A_76) A_75))) (and (=> _let_5 (= _let_4 (@ _let_3 _let_2))) (=> (not _let_5) (= _let_4 _let_2))))))))))
% 0.66/1.05 (assert (forall ((B_37 (-> tptp.pname Bool)) (D (-> tptp.pname Bool)) (A_74 (-> tptp.pname Bool)) (C_12 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_74) C_12) (=> (@ (@ tptp.ord_less_eq_pname_o B_37) D) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_74) B_37)) (@ (@ tptp.semila1673364395name_o C_12) D))))))
% 0.66/1.05 (assert (forall ((B_37 (-> tptp.hoare_1708887482_state Bool)) (D (-> tptp.hoare_1708887482_state Bool)) (A_74 (-> tptp.hoare_1708887482_state Bool)) (C_12 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_74) C_12) (=> (@ (@ tptp.ord_le777019615tate_o B_37) D) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_74) B_37)) (@ (@ tptp.semila129691299tate_o C_12) D))))))
% 0.66/1.05 (assert (forall ((B_36 (-> tptp.pname Bool)) (C_11 (-> tptp.pname Bool)) (A_73 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o C_11))) (=> (@ _let_1 A_73) (=> (@ _let_1 B_36) (@ _let_1 (@ (@ tptp.semila1673364395name_o A_73) B_36)))))))
% 0.66/1.05 (assert (forall ((B_36 (-> tptp.hoare_1708887482_state Bool)) (C_11 (-> tptp.hoare_1708887482_state Bool)) (A_73 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o C_11))) (=> (@ _let_1 A_73) (=> (@ _let_1 B_36) (@ _let_1 (@ (@ tptp.semila129691299tate_o A_73) B_36)))))))
% 0.66/1.05 (assert (forall ((B_35 (-> tptp.pname Bool)) (A_72 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_35) A_72) (= (@ (@ tptp.semila1673364395name_o A_72) B_35) B_35))))
% 0.66/1.05 (assert (forall ((B_35 (-> tptp.hoare_1708887482_state Bool)) (A_72 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_35) A_72) (= (@ (@ tptp.semila129691299tate_o A_72) B_35) B_35))))
% 0.66/1.05 (assert (forall ((A_71 (-> tptp.pname Bool)) (B_34 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_71) B_34) (= (@ (@ tptp.semila1673364395name_o A_71) B_34) A_71))))
% 0.66/1.05 (assert (forall ((A_71 (-> tptp.hoare_1708887482_state Bool)) (B_34 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_71) B_34) (= (@ (@ tptp.semila129691299tate_o A_71) B_34) A_71))))
% 0.66/1.05 (assert (forall ((A_70 (-> tptp.pname Bool)) (B_33 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_70) B_33)) B_33)))
% 0.66/1.05 (assert (forall ((A_70 (-> tptp.hoare_1708887482_state Bool)) (B_33 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_70) B_33)) B_33)))
% 0.66/1.05 (assert (forall ((A_69 (-> tptp.pname Bool)) (B_32 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_69) B_32)) A_69)))
% 0.66/1.05 (assert (forall ((A_69 (-> tptp.hoare_1708887482_state Bool)) (B_32 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_69) B_32)) A_69)))
% 0.66/1.05 (assert (forall ((A_68 (-> tptp.pname Bool)) (B_31 (-> tptp.pname Bool)) (C_10 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o A_68) B_31)) (@ (@ tptp.semila1673364395name_o B_31) C_10))) (@ (@ tptp.semila1673364395name_o C_10) A_68)) (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o A_68) B_31)) (@ (@ tptp.semila1780557381name_o B_31) C_10))) (@ (@ tptp.semila1780557381name_o C_10) A_68)))))
% 0.66/1.05 (assert (forall ((A_68 (-> tptp.hoare_1708887482_state Bool)) (B_31 (-> tptp.hoare_1708887482_state Bool)) (C_10 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o A_68) B_31)) (@ (@ tptp.semila129691299tate_o B_31) C_10))) (@ (@ tptp.semila129691299tate_o C_10) A_68)) (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o A_68) B_31)) (@ (@ tptp.semila1122118281tate_o B_31) C_10))) (@ (@ tptp.semila1122118281tate_o C_10) A_68)))))
% 0.66/1.05 (assert (forall ((B_30 (-> tptp.pname Bool)) (C_9 (-> tptp.pname Bool)) (A_67 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o B_30) C_9)) A_67) (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o B_30) A_67)) (@ (@ tptp.semila1780557381name_o C_9) A_67)))))
% 0.66/1.05 (assert (forall ((B_30 (-> tptp.hoare_1708887482_state Bool)) (C_9 (-> tptp.hoare_1708887482_state Bool)) (A_67 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o B_30) C_9)) A_67) (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o B_30) A_67)) (@ (@ tptp.semila1122118281tate_o C_9) A_67)))))
% 0.66/1.05 (assert (forall ((B_29 (-> tptp.pname Bool)) (C_8 (-> tptp.pname Bool)) (A_66 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o B_29) C_8)) A_66) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o B_29) A_66)) (@ (@ tptp.semila1673364395name_o C_8) A_66)))))
% 0.66/1.05 (assert (forall ((B_29 (-> tptp.hoare_1708887482_state Bool)) (C_8 (-> tptp.hoare_1708887482_state Bool)) (A_66 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o B_29) C_8)) A_66) (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o B_29) A_66)) (@ (@ tptp.semila129691299tate_o C_8) A_66)))))
% 0.66/1.05 (assert (forall ((A_65 (-> tptp.pname Bool)) (B_28 (-> tptp.pname Bool)) (C_7 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_65))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o B_28) C_7)) (@ (@ tptp.semila1673364395name_o (@ _let_1 B_28)) (@ _let_1 C_7))))))
% 0.66/1.05 (assert (forall ((A_65 (-> tptp.hoare_1708887482_state Bool)) (B_28 (-> tptp.hoare_1708887482_state Bool)) (C_7 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_65))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o B_28) C_7)) (@ (@ tptp.semila129691299tate_o (@ _let_1 B_28)) (@ _let_1 C_7))))))
% 0.66/1.05 (assert (forall ((A_64 (-> tptp.pname Bool)) (B_27 (-> tptp.pname Bool)) (C_6 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_64))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o B_27) C_6)) (@ (@ tptp.semila1780557381name_o (@ _let_1 B_27)) (@ _let_1 C_6))))))
% 0.66/1.05 (assert (forall ((A_64 (-> tptp.hoare_1708887482_state Bool)) (B_27 (-> tptp.hoare_1708887482_state Bool)) (C_6 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_64))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_27) C_6)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_27)) (@ _let_1 C_6))))))
% 0.66/1.05 (assert (forall ((X_20 Bool) (Y_9 Bool) (Z_4 Bool)) (let ((_let_1 (@ tptp.semila854092349_inf_o X_20))) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_9)) (@ _let_1 Z_4))) (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_9) Z_4))))))
% 0.66/1.05 (assert (forall ((X_20 (-> tptp.pname Bool)) (Y_9 (-> tptp.pname Bool)) (Z_4 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o X_20))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_9)) (@ _let_1 Z_4))) (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_9) Z_4))))))
% 0.66/1.05 (assert (forall ((X_20 (-> tptp.hoare_1708887482_state Bool)) (Y_9 (-> tptp.hoare_1708887482_state Bool)) (Z_4 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o X_20))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_9)) (@ _let_1 Z_4))) (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_9) Z_4))))))
% 0.66/1.05 (assert (forall ((X_19 Bool) (Y_8 Bool) (Z_3 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_19))) (@ (@ tptp.ord_less_eq_o (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_8) Z_3))) (@ (@ tptp.semila854092349_inf_o (@ _let_1 Y_8)) (@ _let_1 Z_3))))))
% 0.66/1.05 (assert (forall ((X_19 (-> tptp.pname Bool)) (Y_8 (-> tptp.pname Bool)) (Z_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_19))) (@ (@ tptp.ord_less_eq_pname_o (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_8) Z_3))) (@ (@ tptp.semila1673364395name_o (@ _let_1 Y_8)) (@ _let_1 Z_3))))))
% 0.66/1.05 (assert (forall ((X_19 (-> tptp.hoare_1708887482_state Bool)) (Y_8 (-> tptp.hoare_1708887482_state Bool)) (Z_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_19))) (@ (@ tptp.ord_le777019615tate_o (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_8) Z_3))) (@ (@ tptp.semila129691299tate_o (@ _let_1 Y_8)) (@ _let_1 Z_3))))))
% 0.66/1.05 (assert (forall ((A_63 tptp.com) (A_62 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_63))) (=> (@ (@ tptp.member_com A_63) A_62) (= (@ _let_1 (@ (@ tptp.minus_minus_com_o A_62) (@ _let_1 tptp.bot_bot_com_o))) A_62)))))
% 0.66/1.05 (assert (forall ((A_63 tptp.pname) (A_62 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_63))) (=> (@ (@ tptp.member_pname A_63) A_62) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_62) (@ _let_1 tptp.bot_bot_pname_o))) A_62)))))
% 0.66/1.05 (assert (forall ((A_63 tptp.hoare_1708887482_state) (A_62 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_63))) (=> (@ (@ tptp.member451959335_state A_63) A_62) (= (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_62) (@ _let_1 tptp.bot_bo19817387tate_o))) A_62)))))
% 0.66/1.05 (assert (forall ((X_18 tptp.com) (A_61 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com X_18))) (=> (not (@ (@ tptp.member_com X_18) A_61)) (= (@ (@ tptp.minus_minus_com_o (@ _let_1 A_61)) (@ _let_1 tptp.bot_bot_com_o)) A_61)))))
% 0.66/1.05 (assert (forall ((X_18 tptp.pname) (A_61 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname X_18))) (=> (not (@ (@ tptp.member_pname X_18) A_61)) (= (@ (@ tptp.minus_minus_pname_o (@ _let_1 A_61)) (@ _let_1 tptp.bot_bot_pname_o)) A_61)))))
% 0.66/1.05 (assert (forall ((X_18 tptp.hoare_1708887482_state) (A_61 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state X_18))) (=> (not (@ (@ tptp.member451959335_state X_18) A_61)) (= (@ (@ tptp.minus_2056855718tate_o (@ _let_1 A_61)) (@ _let_1 tptp.bot_bo19817387tate_o)) A_61)))))
% 0.66/1.05 (assert (forall ((A_60 tptp.com) (A_59 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_60))) (= (@ _let_1 (@ (@ tptp.minus_minus_com_o A_59) (@ _let_1 tptp.bot_bot_com_o))) (@ _let_1 A_59)))))
% 0.66/1.05 (assert (forall ((A_60 tptp.pname) (A_59 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_60))) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_59) (@ _let_1 tptp.bot_bot_pname_o))) (@ _let_1 A_59)))))
% 0.66/1.05 (assert (forall ((A_60 tptp.hoare_1708887482_state) (A_59 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_60))) (= (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_59) (@ _let_1 tptp.bot_bo19817387tate_o))) (@ _let_1 A_59)))))
% 0.66/1.05 (assert (forall ((A_58 (-> tptp.com Bool)) (A_57 tptp.com) (B_26 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_57))) (let ((_let_2 (@ tptp.minus_minus_com_o A_58))) (= (@ _let_2 (@ _let_1 B_26)) (@ (@ tptp.minus_minus_com_o (@ _let_2 (@ _let_1 tptp.bot_bot_com_o))) B_26))))))
% 0.66/1.05 (assert (forall ((A_58 (-> tptp.pname Bool)) (A_57 tptp.pname) (B_26 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_57))) (let ((_let_2 (@ tptp.minus_minus_pname_o A_58))) (= (@ _let_2 (@ _let_1 B_26)) (@ (@ tptp.minus_minus_pname_o (@ _let_2 (@ _let_1 tptp.bot_bot_pname_o))) B_26))))))
% 0.66/1.05 (assert (forall ((A_58 (-> tptp.hoare_1708887482_state Bool)) (A_57 tptp.hoare_1708887482_state) (B_26 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_57))) (let ((_let_2 (@ tptp.minus_2056855718tate_o A_58))) (= (@ _let_2 (@ _let_1 B_26)) (@ (@ tptp.minus_2056855718tate_o (@ _let_2 (@ _let_1 tptp.bot_bo19817387tate_o))) B_26))))))
% 0.66/1.05 (assert (forall ((A_56 (-> tptp.com Bool)) (A_55 tptp.com) (B_25 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_55))) (let ((_let_2 (@ tptp.minus_minus_com_o A_56))) (= (@ _let_2 (@ _let_1 B_25)) (@ (@ tptp.minus_minus_com_o (@ _let_2 B_25)) (@ _let_1 tptp.bot_bot_com_o)))))))
% 0.66/1.05 (assert (forall ((A_56 (-> tptp.pname Bool)) (A_55 tptp.pname) (B_25 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_55))) (let ((_let_2 (@ tptp.minus_minus_pname_o A_56))) (= (@ _let_2 (@ _let_1 B_25)) (@ (@ tptp.minus_minus_pname_o (@ _let_2 B_25)) (@ _let_1 tptp.bot_bot_pname_o)))))))
% 0.66/1.05 (assert (forall ((A_56 (-> tptp.hoare_1708887482_state Bool)) (A_55 tptp.hoare_1708887482_state) (B_25 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_55))) (let ((_let_2 (@ tptp.minus_2056855718tate_o A_56))) (= (@ _let_2 (@ _let_1 B_25)) (@ (@ tptp.minus_2056855718tate_o (@ _let_2 B_25)) (@ _let_1 tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((A_54 (-> tptp.com Bool)) (A_53 tptp.com) (B_24 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.minus_minus_com_o A_54))) (= (@ tptp.finite_finite_com (@ _let_1 (@ (@ tptp.insert_com A_53) B_24))) (@ tptp.finite_finite_com (@ _let_1 B_24))))))
% 0.66/1.05 (assert (forall ((A_54 (-> tptp.pname Bool)) (A_53 tptp.pname) (B_24 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.minus_minus_pname_o A_54))) (= (@ tptp.finite_finite_pname (@ _let_1 (@ (@ tptp.insert_pname A_53) B_24))) (@ tptp.finite_finite_pname (@ _let_1 B_24))))))
% 0.66/1.05 (assert (forall ((A_54 (-> tptp.hoare_1708887482_state Bool)) (A_53 tptp.hoare_1708887482_state) (B_24 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.minus_2056855718tate_o A_54))) (= (@ tptp.finite1625599783_state (@ _let_1 (@ (@ tptp.insert528405184_state A_53) B_24))) (@ tptp.finite1625599783_state (@ _let_1 B_24))))))
% 0.66/1.05 (assert (forall ((A_54 (-> (-> tptp.pname Bool) Bool)) (A_53 (-> tptp.pname Bool)) (B_24 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ tptp.minus_1480864103me_o_o A_54))) (= (@ tptp.finite297249702name_o (@ _let_1 (@ (@ tptp.insert_pname_o A_53) B_24))) (@ tptp.finite297249702name_o (@ _let_1 B_24))))))
% 0.66/1.05 (assert (forall ((A_54 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_53 (-> tptp.hoare_1708887482_state Bool)) (B_24 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ tptp.minus_548038231te_o_o A_54))) (= (@ tptp.finite1329924456tate_o (@ _let_1 (@ (@ tptp.insert949073679tate_o A_53) B_24))) (@ tptp.finite1329924456tate_o (@ _let_1 B_24))))))
% 0.66/1.05 (assert (forall ((F_27 (-> tptp.pname tptp.hoare_1708887482_state)) (A_52 (-> tptp.pname Bool)) (B_23 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_27))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o (@ _let_1 A_52)) (@ _let_1 B_23))) (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_52) B_23))))))
% 0.66/1.05 (assert (forall ((A_51 (-> tptp.pname Bool)) (B_22 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_51) B_22) (= (@ (@ tptp.semila1780557381name_o A_51) (@ (@ tptp.minus_minus_pname_o B_22) A_51)) B_22))))
% 0.66/1.05 (assert (forall ((A_51 (-> tptp.hoare_1708887482_state Bool)) (B_22 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_51) B_22) (= (@ (@ tptp.semila1122118281tate_o A_51) (@ (@ tptp.minus_2056855718tate_o B_22) A_51)) B_22))))
% 0.66/1.05 (assert (forall ((A_50 (-> tptp.pname Bool)) (B_21 (-> tptp.pname Bool)) (C_5 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_50) B_21)) C_5) (@ (@ tptp.ord_less_eq_pname_o A_50) (@ (@ tptp.semila1780557381name_o B_21) C_5)))))
% 0.66/1.05 (assert (forall ((A_50 (-> tptp.hoare_1708887482_state Bool)) (B_21 (-> tptp.hoare_1708887482_state Bool)) (C_5 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_50) B_21)) C_5) (@ (@ tptp.ord_le777019615tate_o A_50) (@ (@ tptp.semila1122118281tate_o B_21) C_5)))))
% 0.66/1.05 (assert (forall ((F_26 (-> tptp.pname tptp.hoare_1708887482_state)) (A_49 (-> tptp.pname Bool)) (B_20 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_26))) (@ (@ tptp.ord_le777019615tate_o (@ _let_1 (@ (@ tptp.semila1673364395name_o A_49) B_20))) (@ (@ tptp.semila129691299tate_o (@ _let_1 A_49)) (@ _let_1 B_20))))))
% 0.66/1.05 (assert (forall ((A_48 (-> tptp.pname Bool)) (B_19 (-> tptp.pname Bool)) (C_4 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_48))) (= (= (@ (@ tptp.semila1780557381name_o (@ _let_1 B_19)) C_4) (@ _let_1 (@ (@ tptp.semila1780557381name_o B_19) C_4))) (@ (@ tptp.ord_less_eq_pname_o C_4) A_48)))))
% 0.66/1.05 (assert (forall ((A_48 (-> tptp.hoare_1708887482_state Bool)) (B_19 (-> tptp.hoare_1708887482_state Bool)) (C_4 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_48))) (= (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_19)) C_4) (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_19) C_4))) (@ (@ tptp.ord_le777019615tate_o C_4) A_48)))))
% 0.66/1.05 (assert (forall ((P_4 (-> tptp.pname Bool)) (F_25 (-> tptp.pname tptp.hoare_1708887482_state)) (G_4 (-> tptp.pname tptp.hoare_1708887482_state)) (S (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o S))) (= (@ (@ tptp.image_1116629049_state (lambda ((X_3 tptp.pname)) (@ (@ (@ tptp.if_Hoa1374726218_state (@ P_4 X_3)) (@ F_25 X_3)) (@ G_4 X_3)))) S) (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.image_1116629049_state F_25) (@ _let_1 (@ tptp.collect_pname P_4)))) (@ (@ tptp.image_1116629049_state G_4) (@ _let_1 (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (not (@ P_4 X_3)))))))))))
% 0.66/1.05 (assert (forall ((P_3 (-> tptp.pname Bool)) (F_24 (-> tptp.pname tptp.option_com)) (G_3 (-> tptp.pname tptp.option_com))) (= (@ tptp.dom_pname_com (lambda ((X_3 tptp.pname)) (@ (@ (@ tptp.if_option_com (@ P_3 X_3)) (@ F_24 X_3)) (@ G_3 X_3)))) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o (@ tptp.dom_pname_com F_24)) (@ tptp.collect_pname P_3))) (@ (@ tptp.semila1673364395name_o (@ tptp.dom_pname_com G_3)) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (not (@ P_3 X_3)))))))))
% 0.66/1.05 (assert (forall ((A_47 (-> tptp.com Bool)) (X_17 tptp.com) (B_18 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com X_17))) (=> (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.minus_minus_com_o A_47) (@ _let_1 tptp.bot_bot_com_o))) B_18) (=> (@ (@ tptp.member_com X_17) A_47) (@ (@ tptp.ord_less_eq_com_o A_47) (@ _let_1 B_18)))))))
% 0.66/1.05 (assert (forall ((A_47 (-> tptp.pname Bool)) (X_17 tptp.pname) (B_18 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname X_17))) (=> (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_47) (@ _let_1 tptp.bot_bot_pname_o))) B_18) (=> (@ (@ tptp.member_pname X_17) A_47) (@ (@ tptp.ord_less_eq_pname_o A_47) (@ _let_1 B_18)))))))
% 0.66/1.05 (assert (forall ((A_47 (-> tptp.hoare_1708887482_state Bool)) (X_17 tptp.hoare_1708887482_state) (B_18 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state X_17))) (=> (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_47) (@ _let_1 tptp.bot_bo19817387tate_o))) B_18) (=> (@ (@ tptp.member451959335_state X_17) A_47) (@ (@ tptp.ord_le777019615tate_o A_47) (@ _let_1 B_18)))))))
% 0.66/1.05 (assert (forall ((A_46 (-> tptp.com Bool)) (X_16 tptp.com) (B_17 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.ord_less_eq_com_o A_46))) (let ((_let_2 (@ (@ tptp.member_com X_16) A_46))) (let ((_let_3 (@ tptp.insert_com X_16))) (= (@ _let_1 (@ _let_3 B_17)) (and (=> _let_2 (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.minus_minus_com_o A_46) (@ _let_3 tptp.bot_bot_com_o))) B_17)) (=> (not _let_2) (@ _let_1 B_17)))))))))
% 0.66/1.05 (assert (forall ((A_46 (-> tptp.pname Bool)) (X_16 tptp.pname) (B_17 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_46))) (let ((_let_2 (@ (@ tptp.member_pname X_16) A_46))) (let ((_let_3 (@ tptp.insert_pname X_16))) (= (@ _let_1 (@ _let_3 B_17)) (and (=> _let_2 (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_46) (@ _let_3 tptp.bot_bot_pname_o))) B_17)) (=> (not _let_2) (@ _let_1 B_17)))))))))
% 0.66/1.05 (assert (forall ((A_46 (-> tptp.hoare_1708887482_state Bool)) (X_16 tptp.hoare_1708887482_state) (B_17 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_46))) (let ((_let_2 (@ (@ tptp.member451959335_state X_16) A_46))) (let ((_let_3 (@ tptp.insert528405184_state X_16))) (= (@ _let_1 (@ _let_3 B_17)) (and (=> _let_2 (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_46) (@ _let_3 tptp.bot_bo19817387tate_o))) B_17)) (=> (not _let_2) (@ _let_1 B_17)))))))))
% 0.66/1.05 (assert (forall ((P_2 (-> (-> tptp.com Bool) Bool)) (A_45 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 tptp.com) (A_39 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_39) (=> (@ (@ tptp.member_com A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_minus_com_o A_39) (@ (@ tptp.insert_com A_6) tptp.bot_bot_com_o))))))) (@ P_2 tptp.bot_bot_com_o))))))
% 0.66/1.05 (assert (forall ((P_2 (-> (-> tptp.pname Bool) Bool)) (A_45 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 tptp.pname) (A_39 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_39) (=> (@ (@ tptp.member_pname A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_minus_pname_o A_39) (@ (@ tptp.insert_pname A_6) tptp.bot_bot_pname_o))))))) (@ P_2 tptp.bot_bot_pname_o))))))
% 0.66/1.05 (assert (forall ((P_2 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_45 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 tptp.hoare_1708887482_state) (A_39 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_39) (=> (@ (@ tptp.member451959335_state A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_2056855718tate_o A_39) (@ (@ tptp.insert528405184_state A_6) tptp.bot_bo19817387tate_o))))))) (@ P_2 tptp.bot_bo19817387tate_o))))))
% 0.66/1.05 (assert (forall ((P_2 (-> (-> (-> tptp.pname Bool) Bool) Bool)) (A_45 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 (-> tptp.pname Bool)) (A_39 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_39) (=> (@ (@ tptp.member_pname_o A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_1480864103me_o_o A_39) (@ (@ tptp.insert_pname_o A_6) tptp.bot_bot_pname_o_o))))))) (@ P_2 tptp.bot_bot_pname_o_o))))))
% 0.66/1.05 (assert (forall ((P_2 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool)) (A_45 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 (-> tptp.hoare_1708887482_state Bool)) (A_39 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_39) (=> (@ (@ tptp.member814030440tate_o A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_548038231te_o_o A_39) (@ (@ tptp.insert949073679tate_o A_6) tptp.bot_bo1678742418te_o_o))))))) (@ P_2 tptp.bot_bo1678742418te_o_o))))))
% 0.66/1.05 (assert (forall ((F_23 (-> tptp.pname tptp.option_com)) (G_2 (-> tptp.pname tptp.option_com)) (A_44 (-> tptp.pname Bool))) (= (@ tptp.dom_pname_com (@ (@ (@ tptp.overri1496249029on_com F_23) G_2) A_44)) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.minus_minus_pname_o (@ tptp.dom_pname_com F_23)) (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (@ (@ tptp.member_pname A_6) (@ (@ tptp.minus_minus_pname_o A_44) (@ tptp.dom_pname_com G_2))))))) (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (@ (@ tptp.member_pname A_6) (@ (@ tptp.semila1673364395name_o A_44) (@ tptp.dom_pname_com G_2)))))))))
% 0.66/1.05 (assert (forall ((Q (-> tptp.com Bool)) (P_1 (-> tptp.com Bool)) (A_43 (-> tptp.com Bool)) (B_16 (-> tptp.com Bool))) (=> (@ (@ tptp.ord_less_eq_com_o A_43) B_16) (=> (forall ((X_3 tptp.com)) (=> (@ (@ tptp.member_com X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.semila513601829_com_o A_43) (@ tptp.collect_com P_1))) (@ (@ tptp.semila513601829_com_o B_16) (@ tptp.collect_com Q)))))))
% 0.66/1.05 (assert (forall ((Q (-> tptp.pname Bool)) (P_1 (-> tptp.pname Bool)) (A_43 (-> tptp.pname Bool)) (B_16 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_43) B_16) (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_43) (@ tptp.collect_pname P_1))) (@ (@ tptp.semila1673364395name_o B_16) (@ tptp.collect_pname Q)))))))
% 0.66/1.05 (assert (forall ((Q (-> tptp.hoare_1708887482_state Bool)) (P_1 (-> tptp.hoare_1708887482_state Bool)) (A_43 (-> tptp.hoare_1708887482_state Bool)) (B_16 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_43) B_16) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_43) (@ tptp.collec1568722789_state P_1))) (@ (@ tptp.semila129691299tate_o B_16) (@ tptp.collec1568722789_state Q)))))))
% 0.66/1.05 (assert (forall ((Q (-> (-> tptp.pname Bool) Bool)) (P_1 (-> (-> tptp.pname Bool) Bool)) (A_43 (-> (-> tptp.pname Bool) Bool)) (B_16 (-> (-> tptp.pname Bool) Bool))) (=> (@ (@ tptp.ord_le1205211808me_o_o A_43) B_16) (=> (forall ((X_3 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname_o X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_le1205211808me_o_o (@ (@ tptp.semila2013987940me_o_o A_43) (@ tptp.collect_pname_o P_1))) (@ (@ tptp.semila2013987940me_o_o B_16) (@ tptp.collect_pname_o Q)))))))
% 0.66/1.05 (assert (forall ((Q (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (P_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_43 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_16 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ (@ tptp.ord_le1728773982te_o_o A_43) B_16) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member814030440tate_o X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_le1728773982te_o_o (@ (@ tptp.semila598060698te_o_o A_43) (@ tptp.collec219771562tate_o P_1))) (@ (@ tptp.semila598060698te_o_o B_16) (@ tptp.collec219771562tate_o Q)))))))
% 0.66/1.05 (assert (forall ((X_15 Bool) (Y_7 Bool) (Z_2 Bool)) (let ((_let_1 (@ tptp.semila854092349_inf_o X_15))) (=> (forall ((X_3 Bool) (Y_4 Bool) (Z_1 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_3))) (= (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_4) Z_1)) (@ (@ tptp.semila854092349_inf_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_7) Z_2)) (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_7)) (@ _let_1 Z_2)))))))
% 0.66/1.05 (assert (forall ((X_15 (-> tptp.pname Bool)) (Y_7 (-> tptp.pname Bool)) (Z_2 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o X_15))) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool)) (Z_1 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_3))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_4) Z_1)) (@ (@ tptp.semila1673364395name_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_7) Z_2)) (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_7)) (@ _let_1 Z_2)))))))
% 0.66/1.05 (assert (forall ((X_15 (-> tptp.hoare_1708887482_state Bool)) (Y_7 (-> tptp.hoare_1708887482_state Bool)) (Z_2 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o X_15))) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool)) (Z_1 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_3))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_4) Z_1)) (@ (@ tptp.semila129691299tate_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_7) Z_2)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_7)) (@ _let_1 Z_2)))))))
% 0.66/1.05 (assert (forall ((X_14 Bool) (Y_6 Bool) (Z Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_14))) (=> (forall ((X_3 Bool) (Y_4 Bool) (Z_1 Bool)) (let ((_let_1 (@ tptp.semila854092349_inf_o X_3))) (= (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_4) Z_1)) (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_6) Z)) (@ (@ tptp.semila854092349_inf_o (@ _let_1 Y_6)) (@ _let_1 Z)))))))
% 0.66/1.05 (assert (forall ((X_14 (-> tptp.pname Bool)) (Y_6 (-> tptp.pname Bool)) (Z (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_14))) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool)) (Z_1 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o X_3))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_4) Z_1)) (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_6) Z)) (@ (@ tptp.semila1673364395name_o (@ _let_1 Y_6)) (@ _let_1 Z)))))))
% 0.66/1.05 (assert (forall ((X_14 (-> tptp.hoare_1708887482_state Bool)) (Y_6 (-> tptp.hoare_1708887482_state Bool)) (Z (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_14))) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool)) (Z_1 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o X_3))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_4) Z_1)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_6) Z)) (@ (@ tptp.semila129691299tate_o (@ _let_1 Y_6)) (@ _let_1 Z)))))))
% 0.66/1.05 (assert (forall ((A_42 (-> tptp.com Bool)) (B_15 tptp.com)) (let ((_let_1 (@ (@ tptp.partial_flat_lub_com B_15) A_42))) (let ((_let_2 (@ (@ tptp.ord_less_eq_com_o A_42) (@ (@ tptp.insert_com B_15) tptp.bot_bot_com_o)))) (and (=> _let_2 (= _let_1 B_15)) (=> (not _let_2) (= _let_1 (@ tptp.the_com_1 (lambda ((X_3 tptp.com)) (@ (@ tptp.member_com X_3) (@ (@ tptp.minus_minus_com_o A_42) (@ (@ tptp.insert_com B_15) tptp.bot_bot_com_o))))))))))))
% 0.66/1.05 (assert (forall ((A_42 (-> tptp.pname Bool)) (B_15 tptp.pname)) (let ((_let_1 (@ (@ tptp.partia752020666_pname B_15) A_42))) (let ((_let_2 (@ (@ tptp.ord_less_eq_pname_o A_42) (@ (@ tptp.insert_pname B_15) tptp.bot_bot_pname_o)))) (and (=> _let_2 (= _let_1 B_15)) (=> (not _let_2) (= _let_1 (@ tptp.the_pname (lambda ((X_3 tptp.pname)) (@ (@ tptp.member_pname X_3) (@ (@ tptp.minus_minus_pname_o A_42) (@ (@ tptp.insert_pname B_15) tptp.bot_bot_pname_o))))))))))))
% 0.66/1.05 (assert (forall ((A_42 (-> tptp.hoare_1708887482_state Bool)) (B_15 tptp.hoare_1708887482_state)) (let ((_let_1 (@ (@ tptp.partia1256728516_state B_15) A_42))) (let ((_let_2 (@ (@ tptp.ord_le777019615tate_o A_42) (@ (@ tptp.insert528405184_state B_15) tptp.bot_bo19817387tate_o)))) (and (=> _let_2 (= _let_1 B_15)) (=> (not _let_2) (= _let_1 (@ tptp.the_Ho851197897_state (lambda ((X_3 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.minus_2056855718tate_o A_42) (@ (@ tptp.insert528405184_state B_15) tptp.bot_bo19817387tate_o))))))))))))
% 0.66/1.05 (assert (@ tptp.finite567462577_com_o (lambda ((X_3 tptp.com) (A_39 (-> tptp.com Bool)) (__flatten_var_0 tptp.com)) (@ (@ (@ tptp.minus_minus_com_o A_39) (@ (@ tptp.insert_com X_3) tptp.bot_bot_com_o)) __flatten_var_0))))
% 0.66/1.05 (assert (@ tptp.finite1123817265name_o (lambda ((X_3 tptp.pname) (A_39 (-> tptp.pname Bool)) (__flatten_var_0 tptp.pname)) (@ (@ (@ tptp.minus_minus_pname_o A_39) (@ (@ tptp.insert_pname X_3) tptp.bot_bot_pname_o)) __flatten_var_0))))
% 0.66/1.05 (assert (@ tptp.finite662762081tate_o (lambda ((X_3 tptp.hoare_1708887482_state) (A_39 (-> tptp.hoare_1708887482_state Bool)) (__flatten_var_0 tptp.hoare_1708887482_state)) (@ (@ (@ tptp.minus_2056855718tate_o A_39) (@ (@ tptp.insert528405184_state X_3) tptp.bot_bo19817387tate_o)) __flatten_var_0))))
% 0.66/1.05 (assert (forall ((F_22 (-> tptp.pname tptp.hoare_1708887482_state)) (Y_5 tptp.hoare_1708887482_state) (X_13 tptp.pname) (A_41 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_22))) (let ((_let_2 (@ (@ tptp.image_1116629049_state (@ (@ (@ tptp.fun_up1986763201_state F_22) X_13) Y_5)) A_41))) (let ((_let_3 (@ (@ tptp.member_pname X_13) A_41))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert528405184_state Y_5) (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_41) (@ (@ tptp.insert_pname X_13) tptp.bot_bot_pname_o)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A_41)))))))))
% 0.66/1.05 (assert (@ tptp.finite567462577_com_o tptp.insert_com))
% 0.66/1.05 (assert (@ tptp.finite1123817265name_o tptp.insert_pname))
% 0.66/1.05 (assert (@ tptp.finite662762081tate_o tptp.insert528405184_state))
% 0.66/1.05 (assert (@ tptp.finite2048025996em_o_o tptp.semila10642723_sup_o))
% 0.66/1.05 (assert (@ tptp.finite138924780name_o tptp.semila1780557381name_o))
% 0.66/1.05 (assert (@ tptp.finite2034616076tate_o tptp.semila1122118281tate_o))
% 0.66/1.05 (assert (forall ((F_21 (-> tptp.pname tptp.hoare_1708887482_state)) (A_40 (-> tptp.pname Bool)) (B_14 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_21))) (let ((_let_2 (@ tptp.inj_on1553129421_state F_21))) (= (@ _let_2 (@ (@ tptp.semila1780557381name_o A_40) B_14)) (and (@ _let_2 A_40) (@ _let_2 B_14) (= (@ (@ tptp.semila129691299tate_o (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_40) B_14))) (@ _let_1 (@ (@ tptp.minus_minus_pname_o B_14) A_40))) tptp.bot_bo19817387tate_o)))))))
% 0.66/1.05 (assert (forall ((F_20 (-> tptp.pname tptp.option_com)) (X_12 tptp.pname)) (= (= (@ tptp.dom_pname_com F_20) (@ (@ tptp.insert_pname X_12) tptp.bot_bot_pname_o)) (exists ((V tptp.com)) (= F_20 (@ (@ (@ tptp.fun_up879233478on_com (lambda ((X_3 tptp.pname)) tptp.none_com)) X_12) (@ tptp.some_com V)))))))
% 0.66/1.05 (assert (forall ((B_13 (-> tptp.com Bool)) (A_38 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_38) (= (@ (@ tptp.minus_minus_com_o B_13) A_38) (@ (@ (@ tptp.finite504235573_com_o (lambda ((X_3 tptp.com) (A_39 (-> tptp.com Bool)) (__flatten_var_0 tptp.com)) (@ (@ (@ tptp.minus_minus_com_o A_39) (@ (@ tptp.insert_com X_3) tptp.bot_bot_com_o)) __flatten_var_0))) B_13) A_38)))))
% 0.66/1.05 (assert (forall ((B_13 (-> tptp.pname Bool)) (A_38 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_38) (= (@ (@ tptp.minus_minus_pname_o B_13) A_38) (@ (@ (@ tptp.finite603803317name_o (lambda ((X_3 tptp.pname) (A_39 (-> tptp.pname Bool)) (__flatten_var_0 tptp.pname)) (@ (@ (@ tptp.minus_minus_pname_o A_39) (@ (@ tptp.insert_pname X_3) tptp.bot_bot_pname_o)) __flatten_var_0))) B_13) A_38)))))
% 0.66/1.05 (assert (forall ((B_13 (-> tptp.hoare_1708887482_state Bool)) (A_38 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_38) (= (@ (@ tptp.minus_2056855718tate_o B_13) A_38) (@ (@ (@ tptp.finite96880613tate_o (lambda ((X_3 tptp.hoare_1708887482_state) (A_39 (-> tptp.hoare_1708887482_state Bool)) (__flatten_var_0 tptp.hoare_1708887482_state)) (@ (@ (@ tptp.minus_2056855718tate_o A_39) (@ (@ tptp.insert528405184_state X_3) tptp.bot_bo19817387tate_o)) __flatten_var_0))) B_13) A_38)))))
% 0.66/1.05 (assert (forall ((B_13 (-> (-> tptp.pname Bool) Bool)) (A_38 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_38) (= (@ (@ tptp.minus_1480864103me_o_o B_13) A_38) (@ (@ (@ tptp.finite1849951719me_o_o (lambda ((X_3 (-> tptp.pname Bool)) (A_39 (-> (-> tptp.pname Bool) Bool)) (__flatten_var_0 (-> tptp.pname Bool))) (@ (@ (@ tptp.minus_1480864103me_o_o A_39) (@ (@ tptp.insert_pname_o X_3) tptp.bot_bot_pname_o_o)) __flatten_var_0))) B_13) A_38)))))
% 0.66/1.05 (assert (forall ((B_13 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_38 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_38) (= (@ (@ tptp.minus_548038231te_o_o B_13) A_38) (@ (@ (@ tptp.finite463603445te_o_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool)) (A_39 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (__flatten_var_0 (-> tptp.hoare_1708887482_state Bool))) (@ (@ (@ tptp.minus_548038231te_o_o A_39) (@ (@ tptp.insert949073679tate_o X_3) tptp.bot_bo1678742418te_o_o)) __flatten_var_0))) B_13) A_38)))))
% 0.66/1.05 (assert (forall ((F_19 (-> tptp.pname tptp.hoare_1708887482_state)) (A_37 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_37) (= (@ (@ tptp.image_1116629049_state F_19) A_37) (@ (@ (@ (@ tptp.finite2139561282_pname tptp.semila1122118281tate_o) (lambda ((X_3 tptp.pname) (__flatten_var_0 tptp.hoare_1708887482_state)) (@ (@ (@ tptp.insert528405184_state (@ F_19 X_3)) tptp.bot_bo19817387tate_o) __flatten_var_0))) tptp.bot_bo19817387tate_o) A_37)))))
% 0.66/1.05 (assert (forall ((A_36 (-> tptp.pname Bool))) (@ (@ tptp.inj_on737724108_pname tptp.some_pname) A_36)))
% 0.66/1.05 (assert (forall ((A_36 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.inj_on945311362_state tptp.some_H1974565227_state) A_36)))
% 0.66/1.05 (assert (forall ((A_36 (-> tptp.com Bool))) (@ (@ tptp.inj_on11367768on_com tptp.some_com) A_36)))
% 0.66/1.05 (assert (forall ((A_35 tptp.com)) (not (= tptp.none_com (@ tptp.some_com A_35)))))
% 0.66/1.05 (assert (forall ((A_35 tptp.pname)) (not (= tptp.none_pname (@ tptp.some_pname A_35)))))
% 0.66/1.05 (assert (forall ((A_35 tptp.hoare_1708887482_state)) (not (= tptp.none_H1106584047_state (@ tptp.some_H1974565227_state A_35)))))
% 0.66/1.05 (assert (forall ((A_34 tptp.com)) (not (= (@ tptp.some_com A_34) tptp.none_com))))
% 0.66/1.05 (assert (forall ((A_34 tptp.pname)) (not (= (@ tptp.some_pname A_34) tptp.none_pname))))
% 0.66/1.05 (assert (forall ((A_34 tptp.hoare_1708887482_state)) (not (= (@ tptp.some_H1974565227_state A_34) tptp.none_H1106584047_state))))
% 0.66/1.05 (assert (forall ((X_11 tptp.option_com)) (= (forall ((Y_4 tptp.com)) (not (= X_11 (@ tptp.some_com Y_4)))) (= X_11 tptp.none_com))))
% 0.66/1.05 (assert (forall ((X_11 tptp.option_pname)) (= (forall ((Y_4 tptp.pname)) (not (= X_11 (@ tptp.some_pname Y_4)))) (= X_11 tptp.none_pname))))
% 0.66/1.05 (assert (forall ((X_11 tptp.option1624383643_state)) (= (forall ((Y_4 tptp.hoare_1708887482_state)) (not (= X_11 (@ tptp.some_H1974565227_state Y_4)))) (= X_11 tptp.none_H1106584047_state))))
% 0.66/1.05 (assert (forall ((X_10 tptp.option_com)) (= (not (= X_10 tptp.none_com)) (exists ((Y_4 tptp.com)) (= X_10 (@ tptp.some_com Y_4))))))
% 0.66/1.05 (assert (forall ((X_10 tptp.option_pname)) (= (not (= X_10 tptp.none_pname)) (exists ((Y_4 tptp.pname)) (= X_10 (@ tptp.some_pname Y_4))))))
% 0.66/1.05 (assert (forall ((X_10 tptp.option1624383643_state)) (= (not (= X_10 tptp.none_H1106584047_state)) (exists ((Y_4 tptp.hoare_1708887482_state)) (= X_10 (@ tptp.some_H1974565227_state Y_4))))))
% 0.66/1.05 (assert (forall ((M_2 (-> tptp.pname tptp.option_com))) (= (@ tptp.dom_pname_com M_2) (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (not (= (@ M_2 A_6) tptp.none_com)))))))
% 0.66/1.05 (assert (forall ((A_33 tptp.pname) (M_1 (-> tptp.pname tptp.option_com))) (= (@ (@ tptp.member_pname A_33) (@ tptp.dom_pname_com M_1)) (not (= (@ M_1 A_33) tptp.none_com)))))
% 0.66/1.05 (assert (forall ((F_18 (-> tptp.pname tptp.hoare_1708887482_state)) (A_32 (-> tptp.pname Bool))) (=> (@ tptp.finite1625599783_state (@ (@ tptp.image_1116629049_state F_18) A_32)) (=> (@ (@ tptp.inj_on1553129421_state F_18) A_32) (@ tptp.finite_finite_pname A_32)))))
% 0.66/1.05 (assert (forall ((F_17 (-> tptp.pname tptp.hoare_1708887482_state)) (A_31 (-> tptp.pname Bool)) (B_12 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_17))) (=> (@ (@ tptp.inj_on1553129421_state F_17) (@ (@ tptp.semila1780557381name_o A_31) B_12)) (= (= (@ _let_1 A_31) (@ _let_1 B_12)) (= A_31 B_12))))))
% 0.66/1.05 (assert (forall ((X_9 tptp.option_com)) (= (@ tptp.is_none_com X_9) (= X_9 tptp.none_com))))
% 0.66/1.05 (assert (@ tptp.is_none_com tptp.none_com))
% 0.66/1.05 (assert (forall ((X_8 tptp.pname) (Y_3 tptp.hoare_1708887482_state) (F_16 (-> tptp.pname tptp.hoare_1708887482_state)) (A_30 (-> tptp.pname Bool))) (=> (@ (@ tptp.inj_on1553129421_state F_16) A_30) (=> (not (@ (@ tptp.member451959335_state Y_3) (@ (@ tptp.image_1116629049_state F_16) A_30))) (@ (@ tptp.inj_on1553129421_state (@ (@ (@ tptp.fun_up1986763201_state F_16) X_8) Y_3)) A_30)))))
% 0.66/1.05 (assert (forall ((B_11 (-> tptp.pname Bool)) (A_29 (-> tptp.pname Bool)) (A_28 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_28) (=> (@ (@ tptp.member_pname_o A_29) A_28) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_29) B_11)) (@ (@ (@ tptp.finite472615016name_o tptp.semila1780557381name_o) B_11) A_28))))))
% 0.66/1.05 (assert (forall ((B_11 (-> tptp.hoare_1708887482_state Bool)) (A_29 (-> tptp.hoare_1708887482_state Bool)) (A_28 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_28) (=> (@ (@ tptp.member814030440tate_o A_29) A_28) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_29) B_11)) (@ (@ (@ tptp.finite822533768tate_o tptp.semila1122118281tate_o) B_11) A_28))))))
% 0.66/1.05 (assert (forall ((B_11 Bool) (A_29 Bool) (A_28 (-> Bool Bool))) (=> (@ tptp.finite_finite_o A_28) (=> (@ (@ tptp.member_o A_29) A_28) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o A_29) B_11)) (@ (@ (@ tptp.finite_fold_o_o tptp.semila10642723_sup_o) B_11) A_28))))))
% 0.66/1.05 (assert (forall ((B_10 (-> tptp.pname Bool)) (A_27 (-> tptp.pname Bool)) (A_26 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_26) (=> (@ (@ tptp.member_pname_o A_27) A_26) (@ (@ tptp.ord_less_eq_pname_o (@ (@ (@ tptp.finite472615016name_o tptp.semila1673364395name_o) B_10) A_26)) (@ (@ tptp.semila1673364395name_o A_27) B_10))))))
% 0.66/1.05 (assert (forall ((B_10 (-> tptp.hoare_1708887482_state Bool)) (A_27 (-> tptp.hoare_1708887482_state Bool)) (A_26 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_26) (=> (@ (@ tptp.member814030440tate_o A_27) A_26) (@ (@ tptp.ord_le777019615tate_o (@ (@ (@ tptp.finite822533768tate_o tptp.semila129691299tate_o) B_10) A_26)) (@ (@ tptp.semila129691299tate_o A_27) B_10))))))
% 0.66/1.05 (assert (forall ((B_10 Bool) (A_27 Bool) (A_26 (-> Bool Bool))) (=> (@ tptp.finite_finite_o A_26) (=> (@ (@ tptp.member_o A_27) A_26) (@ (@ tptp.ord_less_eq_o (@ (@ (@ tptp.finite_fold_o_o tptp.semila854092349_inf_o) B_10) A_26)) (@ (@ tptp.semila854092349_inf_o A_27) B_10))))))
% 0.66/1.05 (assert (forall ((B_9 (-> tptp.pname Bool)) (A_25 (-> tptp.pname Bool)) (A_24 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ (@ tptp.finite472615016name_o tptp.semila1780557381name_o) B_9))) (=> (@ tptp.finite297249702name_o A_24) (= (@ _let_1 (@ (@ tptp.insert_pname_o A_25) A_24)) (@ (@ tptp.semila1780557381name_o A_25) (@ _let_1 A_24)))))))
% 0.66/1.05 (assert (forall ((B_9 (-> tptp.hoare_1708887482_state Bool)) (A_25 (-> tptp.hoare_1708887482_state Bool)) (A_24 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ (@ tptp.finite822533768tate_o tptp.semila1122118281tate_o) B_9))) (=> (@ tptp.finite1329924456tate_o A_24) (= (@ _let_1 (@ (@ tptp.insert949073679tate_o A_25) A_24)) (@ (@ tptp.semila1122118281tate_o A_25) (@ _let_1 A_24)))))))
% 0.66/1.05 (assert (forall ((B_9 Bool) (A_25 Bool) (A_24 (-> Bool Bool))) (let ((_let_1 (@ (@ tptp.finite_fold_o_o tptp.semila10642723_sup_o) B_9))) (=> (@ tptp.finite_finite_o A_24) (= (@ _let_1 (@ (@ tptp.insert_o A_25) A_24)) (@ (@ tptp.semila10642723_sup_o A_25) (@ _let_1 A_24)))))))
% 0.66/1.05 (assert (forall ((B_8 (-> tptp.pname Bool)) (A_23 (-> tptp.pname Bool)) (A_22 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ (@ tptp.finite472615016name_o tptp.semila1673364395name_o) B_8))) (=> (@ tptp.finite297249702name_o A_22) (= (@ _let_1 (@ (@ tptp.insert_pname_o A_23) A_22)) (@ (@ tptp.semila1673364395name_o A_23) (@ _let_1 A_22)))))))
% 0.66/1.05 (assert (forall ((B_8 (-> tptp.hoare_1708887482_state Bool)) (A_23 (-> tptp.hoare_1708887482_state Bool)) (A_22 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ (@ tptp.finite822533768tate_o tptp.semila129691299tate_o) B_8))) (=> (@ tptp.finite1329924456tate_o A_22) (= (@ _let_1 (@ (@ tptp.insert949073679tate_o A_23) A_22)) (@ (@ tptp.semila129691299tate_o A_23) (@ _let_1 A_22)))))))
% 0.66/1.05 (assert (forall ((F_15 (-> tptp.pname tptp.option_com))) (= (= (@ tptp.dom_pname_com F_15) tptp.bot_bot_pname_o) (forall ((X_3 tptp.pname)) (= (@ F_15 X_3) tptp.none_com)))))
% 0.66/1.05 (assert (= (@ tptp.dom_pname_com (lambda ((X_3 tptp.pname)) tptp.none_com)) tptp.bot_bot_pname_o))
% 0.66/1.05 (assert (= (@ tptp.set_com tptp.none_com) tptp.bot_bot_com_o))
% 0.66/1.05 (assert (= (@ tptp.set_pname tptp.none_pname) tptp.bot_bot_pname_o))
% 0.66/1.05 (assert (= (@ tptp.set_Ho525251890_state tptp.none_H1106584047_state) tptp.bot_bo19817387tate_o))
% 0.66/1.05 (assert (forall ((Xo tptp.option_com)) (= (= (@ tptp.set_com Xo) tptp.bot_bot_com_o) (= Xo tptp.none_com))))
% 0.66/1.05 (assert (forall ((Xo tptp.option_pname)) (= (= (@ tptp.set_pname Xo) tptp.bot_bot_pname_o) (= Xo tptp.none_pname))))
% 0.66/1.05 (assert (forall ((Xo tptp.option1624383643_state)) (= (= (@ tptp.set_Ho525251890_state Xo) tptp.bot_bo19817387tate_o) (= Xo tptp.none_H1106584047_state))))
% 0.66/1.05 (assert (forall ((F_14 (-> (-> tptp.pname Bool) tptp.pname Bool)) (A_21 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ (@ tptp.image_1085733413name_o F_14) A_21))) (=> (@ tptp.finite297249702name_o A_21) (=> (@ (@ tptp.ord_le1205211808me_o_o _let_1) A_21) (=> (@ (@ tptp.inj_on691924881name_o F_14) A_21) (= _let_1 A_21)))))))
% 0.66/1.05 (assert (forall ((F_14 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (A_21 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ (@ tptp.image_909543877tate_o F_14) A_21))) (=> (@ tptp.finite1329924456tate_o A_21) (=> (@ (@ tptp.ord_le1728773982te_o_o _let_1) A_21) (=> (@ (@ tptp.inj_on176908593tate_o F_14) A_21) (= _let_1 A_21)))))))
% 0.66/1.05 (assert (forall ((F_14 (-> tptp.pname tptp.pname)) (A_21 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.image_pname_pname F_14) A_21))) (=> (@ tptp.finite_finite_pname A_21) (=> (@ (@ tptp.ord_less_eq_pname_o _let_1) A_21) (=> (@ (@ tptp.inj_on_pname_pname F_14) A_21) (= _let_1 A_21)))))))
% 0.66/1.05 (assert (forall ((F_14 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (A_21 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.image_757158439_state F_14) A_21))) (=> (@ tptp.finite1625599783_state A_21) (=> (@ (@ tptp.ord_le777019615tate_o _let_1) A_21) (=> (@ (@ tptp.inj_on632008595_state F_14) A_21) (= _let_1 A_21)))))))
% 0.66/1.05 (assert (forall ((F_13 (-> (-> tptp.pname Bool) tptp.pname Bool)) (A_20 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_20) (=> (@ (@ tptp.ord_le1205211808me_o_o A_20) (@ (@ tptp.image_1085733413name_o F_13) A_20)) (@ (@ tptp.inj_on691924881name_o F_13) A_20)))))
% 0.66/1.05 (assert (forall ((F_13 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (A_20 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_20) (=> (@ (@ tptp.ord_le1728773982te_o_o A_20) (@ (@ tptp.image_909543877tate_o F_13) A_20)) (@ (@ tptp.inj_on176908593tate_o F_13) A_20)))))
% 0.66/1.05 (assert (forall ((F_13 (-> tptp.pname tptp.pname)) (A_20 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_20) (=> (@ (@ tptp.ord_less_eq_pname_o A_20) (@ (@ tptp.image_pname_pname F_13) A_20)) (@ (@ tptp.inj_on_pname_pname F_13) A_20)))))
% 0.66/1.05 (assert (forall ((F_13 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (A_20 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_20) (=> (@ (@ tptp.ord_le777019615tate_o A_20) (@ (@ tptp.image_757158439_state F_13) A_20)) (@ (@ tptp.inj_on632008595_state F_13) A_20)))))
% 0.66/1.05 (assert (forall ((B_7 (-> tptp.pname Bool)) (A_19 (-> tptp.pname Bool)) (F_12 (-> tptp.pname tptp.hoare_1708887482_state)) (C_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_12))) (=> (@ (@ tptp.inj_on1553129421_state F_12) C_3) (=> (@ (@ tptp.ord_less_eq_pname_o A_19) C_3) (=> (@ (@ tptp.ord_less_eq_pname_o B_7) C_3) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o A_19) B_7)) (@ (@ tptp.semila129691299tate_o (@ _let_1 A_19)) (@ _let_1 B_7)))))))))
% 0.66/1.05 (assert (forall ((B_6 (-> tptp.pname Bool)) (A_18 (-> tptp.pname Bool)) (F_11 (-> tptp.pname tptp.hoare_1708887482_state)) (C_2 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_11))) (=> (@ (@ tptp.inj_on1553129421_state F_11) C_2) (=> (@ (@ tptp.ord_less_eq_pname_o A_18) C_2) (=> (@ (@ tptp.ord_less_eq_pname_o B_6) C_2) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_18) B_6)) (@ (@ tptp.minus_2056855718tate_o (@ _let_1 A_18)) (@ _let_1 B_6)))))))))
% 0.66/1.05 (assert (forall ((B_5 (-> tptp.com Bool)) (A_17 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_17) (= (@ (@ tptp.semila1562558655_com_o A_17) B_5) (@ (@ (@ tptp.finite504235573_com_o tptp.insert_com) B_5) A_17)))))
% 0.66/1.05 (assert (forall ((B_5 (-> tptp.pname Bool)) (A_17 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_17) (= (@ (@ tptp.semila1780557381name_o A_17) B_5) (@ (@ (@ tptp.finite603803317name_o tptp.insert_pname) B_5) A_17)))))
% 0.66/1.05 (assert (forall ((B_5 (-> tptp.hoare_1708887482_state Bool)) (A_17 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_17) (= (@ (@ tptp.semila1122118281tate_o A_17) B_5) (@ (@ (@ tptp.finite96880613tate_o tptp.insert528405184_state) B_5) A_17)))))
% 0.66/1.05 (assert (forall ((B_5 (-> (-> tptp.pname Bool) Bool)) (A_17 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_17) (= (@ (@ tptp.semila181081674me_o_o A_17) B_5) (@ (@ (@ tptp.finite1849951719me_o_o tptp.insert_pname_o) B_5) A_17)))))
% 0.66/1.05 (assert (forall ((B_5 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_17 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_17) (= (@ (@ tptp.semila1853742644te_o_o A_17) B_5) (@ (@ (@ tptp.finite463603445te_o_o tptp.insert949073679tate_o) B_5) A_17)))))
% 0.66/1.05 (assert (forall ((A_16 (-> tptp.pname Bool)) (F_10 (-> tptp.pname tptp.option_com)) (X_7 tptp.pname)) (let ((_let_1 (@ tptp.minus_minus_pname_o (@ tptp.dom_pname_com F_10)))) (=> (= (@ F_10 X_7) tptp.none_com) (= (@ _let_1 (@ (@ tptp.insert_pname X_7) A_16)) (@ _let_1 A_16))))))
% 0.66/1.05 (assert (forall ((X_6 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_6) X_6) X_6)))
% 0.66/1.05 (assert (forall ((X_6 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o X_6) X_6) X_6)))
% 0.66/1.05 (assert (forall ((X_6 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_6) X_6) X_6)))
% 0.66/1.05 (assert (forall ((X_5 tptp.com) (A_15 (-> tptp.com Bool)) (F_9 (-> tptp.com tptp.com tptp.com)) (F_8 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_9) F_8) (=> (@ tptp.finite_finite_com A_15) (=> (not (@ (@ tptp.member_com X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert_com X_5) A_15)) (@ (@ (@ tptp.finite_fold_com_com F_9) X_5) A_15)))))))
% 0.66/1.05 (assert (forall ((X_5 tptp.pname) (A_15 (-> tptp.pname Bool)) (F_9 (-> tptp.pname tptp.pname tptp.pname)) (F_8 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite1282449217_pname F_9) F_8) (=> (@ tptp.finite_finite_pname A_15) (=> (not (@ (@ tptp.member_pname X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert_pname X_5) A_15)) (@ (@ (@ tptp.finite1657623752_pname F_9) X_5) A_15)))))))
% 0.66/1.05 (assert (forall ((X_5 tptp.hoare_1708887482_state) (A_15 (-> tptp.hoare_1708887482_state Bool)) (F_9 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_8 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1615457021_state F_9) F_8) (=> (@ tptp.finite1625599783_state A_15) (=> (not (@ (@ tptp.member451959335_state X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert528405184_state X_5) A_15)) (@ (@ (@ tptp.finite309095018_state F_9) X_5) A_15)))))))
% 0.66/1.05 (assert (forall ((X_5 (-> tptp.pname Bool)) (A_15 (-> (-> tptp.pname Bool) Bool)) (F_9 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_8 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite349908348name_o F_9) F_8) (=> (@ tptp.finite297249702name_o A_15) (=> (not (@ (@ tptp.member_pname_o X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert_pname_o X_5) A_15)) (@ (@ (@ tptp.finite472615016name_o F_9) X_5) A_15)))))))
% 0.66/1.05 (assert (forall ((X_5 (-> tptp.hoare_1708887482_state Bool)) (A_15 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_9 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_8 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite928843026tate_o F_9) F_8) (=> (@ tptp.finite1329924456tate_o A_15) (=> (not (@ (@ tptp.member814030440tate_o X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert949073679tate_o X_5) A_15)) (@ (@ (@ tptp.finite822533768tate_o F_9) X_5) A_15)))))))
% 0.66/1.05 (assert (forall ((A_14 tptp.com) (A_13 (-> tptp.com Bool)) (F_7 (-> tptp.com tptp.com tptp.com)) (F_6 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite666746948em_com F_7) F_6) (=> (@ tptp.finite_finite_com A_13) (= (@ F_6 (@ (@ tptp.insert_com A_14) A_13)) (@ (@ (@ tptp.finite_fold_com_com F_7) A_14) A_13))))))
% 0.66/1.05 (assert (forall ((A_14 tptp.pname) (A_13 (-> tptp.pname Bool)) (F_7 (-> tptp.pname tptp.pname tptp.pname)) (F_6 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_7) F_6) (=> (@ tptp.finite_finite_pname A_13) (= (@ F_6 (@ (@ tptp.insert_pname A_14) A_13)) (@ (@ (@ tptp.finite1657623752_pname F_7) A_14) A_13))))))
% 0.66/1.05 (assert (forall ((A_14 tptp.hoare_1708887482_state) (A_13 (-> tptp.hoare_1708887482_state Bool)) (F_7 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_6 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_7) F_6) (=> (@ tptp.finite1625599783_state A_13) (= (@ F_6 (@ (@ tptp.insert528405184_state A_14) A_13)) (@ (@ (@ tptp.finite309095018_state F_7) A_14) A_13))))))
% 0.66/1.05 (assert (forall ((A_14 (-> tptp.pname Bool)) (A_13 (-> (-> tptp.pname Bool) Bool)) (F_7 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_6 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite697516351name_o F_7) F_6) (=> (@ tptp.finite297249702name_o A_13) (= (@ F_6 (@ (@ tptp.insert_pname_o A_14) A_13)) (@ (@ (@ tptp.finite472615016name_o F_7) A_14) A_13))))))
% 0.66/1.05 (assert (forall ((A_14 (-> tptp.hoare_1708887482_state Bool)) (A_13 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_7 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_6 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite621643279tate_o F_7) F_6) (=> (@ tptp.finite1329924456tate_o A_13) (= (@ F_6 (@ (@ tptp.insert949073679tate_o A_14) A_13)) (@ (@ (@ tptp.finite822533768tate_o F_7) A_14) A_13))))))
% 0.66/1.05 (assert (forall ((Pn_1 tptp.pname)) (=> (not (= (@ tptp.body Pn_1) tptp.none_com)) (@ tptp.wt (@ tptp.body_1 Pn_1)))))
% 0.66/1.05 (assert (forall ((F_5 (-> tptp.pname tptp.hoare_1708887482_state)) (A_12 tptp.pname) (A_11 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_12))) (let ((_let_2 (@ tptp.inj_on1553129421_state F_5))) (= (@ _let_2 (@ _let_1 A_11)) (and (@ _let_2 A_11) (not (@ (@ tptp.member451959335_state (@ F_5 A_12)) (@ (@ tptp.image_1116629049_state F_5) (@ (@ tptp.minus_minus_pname_o A_11) (@ _let_1 tptp.bot_bot_pname_o)))))))))))
% 0.66/1.05 (assert (forall ((F_4 (-> tptp.pname tptp.option_com)) (X_4 tptp.pname) (Y_2 tptp.option_com)) (let ((_let_1 (@ tptp.dom_pname_com F_4))) (let ((_let_2 (@ tptp.insert_pname X_4))) (let ((_let_3 (@ tptp.dom_pname_com (@ (@ (@ tptp.fun_up879233478on_com F_4) X_4) Y_2)))) (let ((_let_4 (= Y_2 tptp.none_com))) (and (=> _let_4 (= _let_3 (@ (@ tptp.minus_minus_pname_o _let_1) (@ _let_2 tptp.bot_bot_pname_o)))) (=> (not _let_4) (= _let_3 (@ _let_2 _let_1))))))))))
% 0.66/1.05 (assert (forall ((C_1 (-> tptp.pname Bool)) (B_4 (-> tptp.pname Bool)) (A_10 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_10) (=> (forall ((X_3 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname_o X_3) A_10) (@ (@ tptp.ord_less_eq_pname_o B_4) X_3))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o B_4) C_1)) (@ (@ (@ tptp.finite472615016name_o tptp.semila1673364395name_o) C_1) A_10))))))
% 0.66/1.05 (assert (forall ((C_1 (-> tptp.hoare_1708887482_state Bool)) (B_4 (-> tptp.hoare_1708887482_state Bool)) (A_10 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_10) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member814030440tate_o X_3) A_10) (@ (@ tptp.ord_le777019615tate_o B_4) X_3))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o B_4) C_1)) (@ (@ (@ tptp.finite822533768tate_o tptp.semila129691299tate_o) C_1) A_10))))))
% 0.66/1.05 (assert (forall ((C_1 Bool) (B_4 Bool) (A_10 (-> Bool Bool))) (=> (@ tptp.finite_finite_o A_10) (=> (forall ((X_3 Bool)) (=> (@ (@ tptp.member_o X_3) A_10) (@ (@ tptp.ord_less_eq_o B_4) X_3))) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o B_4) C_1)) (@ (@ (@ tptp.finite_fold_o_o tptp.semila854092349_inf_o) C_1) A_10))))))
% 0.66/1.05 (assert (forall ((C (-> tptp.pname Bool)) (B_3 (-> tptp.pname Bool)) (A_9 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_9) (=> (forall ((X_3 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname_o X_3) A_9) (@ (@ tptp.ord_less_eq_pname_o X_3) B_3))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ (@ tptp.finite472615016name_o tptp.semila1780557381name_o) C) A_9)) (@ (@ tptp.semila1780557381name_o B_3) C))))))
% 0.66/1.05 (assert (forall ((C (-> tptp.hoare_1708887482_state Bool)) (B_3 (-> tptp.hoare_1708887482_state Bool)) (A_9 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_9) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member814030440tate_o X_3) A_9) (@ (@ tptp.ord_le777019615tate_o X_3) B_3))) (@ (@ tptp.ord_le777019615tate_o (@ (@ (@ tptp.finite822533768tate_o tptp.semila1122118281tate_o) C) A_9)) (@ (@ tptp.semila1122118281tate_o B_3) C))))))
% 0.66/1.05 (assert (forall ((C Bool) (B_3 Bool) (A_9 (-> Bool Bool))) (=> (@ tptp.finite_finite_o A_9) (=> (forall ((X_3 Bool)) (=> (@ (@ tptp.member_o X_3) A_9) (@ (@ tptp.ord_less_eq_o X_3) B_3))) (@ (@ tptp.ord_less_eq_o (@ (@ (@ tptp.finite_fold_o_o tptp.semila10642723_sup_o) C) A_9)) (@ (@ tptp.semila10642723_sup_o B_3) C))))))
% 0.66/1.05 (assert (forall ((A_8 (-> tptp.pname Bool)) (A_7 (-> tptp.hoare_1708887482_state Bool))) (=> (not (= A_7 tptp.bot_bo19817387tate_o)) (= (exists ((F_3 (-> tptp.hoare_1708887482_state tptp.pname))) (and (@ (@ tptp.inj_on1945914667_pname F_3) A_7) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.image_1509414295_pname F_3) A_7)) A_8))) (exists ((G_1 (-> tptp.pname tptp.hoare_1708887482_state))) (= (@ (@ tptp.image_1116629049_state G_1) A_8) A_7))))))
% 0.66/1.05 (assert (forall ((A_8 (-> tptp.hoare_1708887482_state Bool)) (A_7 (-> tptp.pname Bool))) (=> (not (= A_7 tptp.bot_bot_pname_o)) (= (exists ((F_3 (-> tptp.pname tptp.hoare_1708887482_state))) (and (@ (@ tptp.inj_on1553129421_state F_3) A_7) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.image_1116629049_state F_3) A_7)) A_8))) (exists ((G_1 (-> tptp.hoare_1708887482_state tptp.pname))) (= (@ (@ tptp.image_1509414295_pname G_1) A_8) A_7))))))
% 0.66/1.05 (assert (forall ((Y_1 tptp.option_com)) (=> (not (= Y_1 tptp.none_com)) (not (forall ((A_6 tptp.com)) (not (= Y_1 (@ tptp.some_com A_6))))))))
% 0.66/1.05 (assert (forall ((Y_1 tptp.option_pname)) (=> (not (= Y_1 tptp.none_pname)) (not (forall ((A_6 tptp.pname)) (not (= Y_1 (@ tptp.some_pname A_6))))))))
% 0.66/1.05 (assert (forall ((Y_1 tptp.option1624383643_state)) (=> (not (= Y_1 tptp.none_H1106584047_state)) (not (forall ((A_6 tptp.hoare_1708887482_state)) (not (= Y_1 (@ tptp.some_H1974565227_state A_6))))))))
% 0.66/1.05 (assert (forall ((G (-> tptp.hoare_1708887482_state tptp.pname)) (B_2 (-> tptp.hoare_1708887482_state Bool)) (F_2 (-> tptp.pname tptp.hoare_1708887482_state)) (A_4 (-> tptp.pname Bool))) (exists ((A_5 (-> tptp.pname Bool))) (and (@ (@ tptp.ord_less_eq_pname_o A_5) A_4) (forall ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (=> (@ _let_1 A_5) (not (@ _let_1 (@ (@ tptp.image_1509414295_pname G) (@ (@ tptp.minus_2056855718tate_o B_2) (@ (@ tptp.image_1116629049_state F_2) A_5)))))))) (exists ((H (-> tptp.pname tptp.hoare_1708887482_state))) (and (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_5) (= (@ H X_3) (@ F_2 X_3)))) (forall ((X_3 tptp.pname)) (let ((_let_1 (@ H X_3))) (=> (@ (@ tptp.member_pname X_3) (@ (@ tptp.minus_minus_pname_o A_4) A_5)) (and (@ (@ tptp.member451959335_state _let_1) (@ (@ tptp.minus_2056855718tate_o B_2) (@ (@ tptp.image_1116629049_state F_2) A_5))) (= X_3 (@ G _let_1))))))))))))
% 0.66/1.05 (assert (forall ((G (-> tptp.pname tptp.hoare_1708887482_state)) (B_2 (-> tptp.pname Bool)) (F_2 (-> tptp.hoare_1708887482_state tptp.pname)) (A_4 (-> tptp.hoare_1708887482_state Bool))) (exists ((A_5 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.ord_le777019615tate_o A_5) A_4) (forall ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (=> (@ _let_1 A_5) (not (@ _let_1 (@ (@ tptp.image_1116629049_state G) (@ (@ tptp.minus_minus_pname_o B_2) (@ (@ tptp.image_1509414295_pname F_2) A_5)))))))) (exists ((H (-> tptp.hoare_1708887482_state tptp.pname))) (and (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_5) (= (@ H X_3) (@ F_2 X_3)))) (forall ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ H X_3))) (=> (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.minus_2056855718tate_o A_4) A_5)) (and (@ (@ tptp.member_pname _let_1) (@ (@ tptp.minus_minus_pname_o B_2) (@ (@ tptp.image_1509414295_pname F_2) A_5))) (= X_3 (@ G _let_1))))))))))))
% 0.66/1.05 (assert (forall ((F_1 (-> tptp.pname tptp.hoare_1708887482_state)) (A_3 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.image_1116629049_state F_1) (@ (@ tptp.vimage1943311875_state F_1) A_3))) A_3)))
% 0.66/1.05 (assert (forall ((M (-> tptp.pname tptp.option_com)) (A_2 (-> tptp.pname Bool))) (= (@ tptp.dom_pname_com (@ (@ tptp.restri1382200118me_com M) A_2)) (@ (@ tptp.semila1673364395name_o (@ tptp.dom_pname_com M)) A_2))))
% 0.66/1.05 (assert (forall ((B_1 (-> (-> tptp.pname Bool) Bool)) (A_1 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_1) (=> (not (= A_1 tptp.bot_bot_pname_o_o)) (=> (@ tptp.finite297249702name_o B_1) (=> (not (= B_1 tptp.bot_bot_pname_o_o)) (=> (= (@ (@ tptp.semila2013987940me_o_o A_1) B_1) tptp.bot_bot_pname_o_o) (= (@ tptp.big_la1126801287name_o (@ (@ tptp.semila181081674me_o_o A_1) B_1)) (@ (@ tptp.semila1673364395name_o (@ tptp.big_la1126801287name_o A_1)) (@ tptp.big_la1126801287name_o B_1))))))))))
% 0.66/1.05 (assert (forall ((B_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_1) (=> (not (= A_1 tptp.bot_bo1678742418te_o_o)) (=> (@ tptp.finite1329924456tate_o B_1) (=> (not (= B_1 tptp.bot_bo1678742418te_o_o)) (=> (= (@ (@ tptp.semila598060698te_o_o A_1) B_1) tptp.bot_bo1678742418te_o_o) (= (@ tptp.big_la781588935tate_o (@ (@ tptp.semila1853742644te_o_o A_1) B_1)) (@ (@ tptp.semila129691299tate_o (@ tptp.big_la781588935tate_o A_1)) (@ tptp.big_la781588935tate_o B_1))))))))))
% 0.66/1.05 (assert (forall ((B (-> (-> tptp.pname Bool) Bool)) (A (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ (@ tptp.semila2013987940me_o_o A) B))) (=> (@ tptp.finite297249702name_o A) (=> (@ tptp.finite297249702name_o B) (=> (not (= _let_1 tptp.bot_bot_pname_o_o)) (= (@ (@ tptp.semila1673364395name_o (@ tptp.big_la1126801287name_o (@ (@ tptp.semila181081674me_o_o A) B))) (@ tptp.big_la1126801287name_o _let_1)) (@ (@ tptp.semila1673364395name_o (@ tptp.big_la1126801287name_o A)) (@ tptp.big_la1126801287name_o B)))))))))
% 0.66/1.05 (assert (forall ((B (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ (@ tptp.semila598060698te_o_o A) B))) (=> (@ tptp.finite1329924456tate_o A) (=> (@ tptp.finite1329924456tate_o B) (=> (not (= _let_1 tptp.bot_bo1678742418te_o_o)) (= (@ (@ tptp.semila129691299tate_o (@ tptp.big_la781588935tate_o (@ (@ tptp.semila1853742644te_o_o A) B))) (@ tptp.big_la781588935tate_o _let_1)) (@ (@ tptp.semila129691299tate_o (@ tptp.big_la781588935tate_o A)) (@ tptp.big_la781588935tate_o B)))))))))
% 0.66/1.05 (assert (forall ((X_2 tptp.com)) (@ (@ tptp.member_com X_2) tptp.top_top_com_o)))
% 0.66/1.05 (assert (forall ((X_2 tptp.pname)) (@ (@ tptp.member_pname X_2) tptp.top_top_pname_o)))
% 0.66/1.05 (assert (forall ((X_2 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state X_2) tptp.top_to832624271tate_o)))
% 0.66/1.05 (assert (forall ((F (-> tptp.pname tptp.hoare_1708887482_state)) (X_1 tptp.pname)) (@ (@ tptp.member451959335_state (@ F X_1)) (@ (@ tptp.image_1116629049_state F) tptp.top_top_pname_o))))
% 0.66/1.05 (assert (forall ((X tptp.com) (Y tptp.com)) (or (not (@ (@ tptp.fequal_com X) Y)) (= X Y))))
% 0.66/1.05 (assert (forall ((X tptp.com) (Y tptp.com)) (or (not (= X Y)) (@ (@ tptp.fequal_com X) Y))))
% 0.66/1.05 (assert (forall ((X tptp.pname) (Y tptp.pname)) (or (not (@ (@ tptp.fequal_pname X) Y)) (= X Y))))
% 0.66/1.05 (assert (forall ((X tptp.pname) (Y tptp.pname)) (or (not (= X Y)) (@ (@ tptp.fequal_pname X) Y))))
% 0.66/1.05 (assert (forall ((X tptp.state) (Y tptp.state)) (or (not (@ (@ tptp.fequal_state X) Y)) (= X Y))))
% 0.66/1.05 (assert (forall ((X tptp.state) (Y tptp.state)) (or (not (= X Y)) (@ (@ tptp.fequal_state X) Y))))
% 0.66/1.05 (assert (forall ((X (-> tptp.pname Bool)) (Y (-> tptp.pname Bool))) (or (not (@ (@ tptp.fequal_pname_o X) Y)) (= X Y))))
% 0.66/1.05 (assert (forall ((X (-> tptp.pname Bool)) (Y (-> tptp.pname Bool))) (or (not (= X Y)) (@ (@ tptp.fequal_pname_o X) Y))))
% 0.66/1.05 (assert (forall ((X tptp.option_com) (Y tptp.option_com)) (= (@ (@ (@ tptp.if_option_com true) X) Y) X)))
% 0.66/1.05 (assert (forall ((X tptp.option_com) (Y tptp.option_com)) (= (@ (@ (@ tptp.if_option_com false) X) Y) Y)))
% 0.66/1.05 (assert (forall ((P Bool)) (or (= P true) (= P false))))
% 0.66/1.05 (assert (forall ((X tptp.hoare_1708887482_state) (Y tptp.hoare_1708887482_state)) (= (@ (@ (@ tptp.if_Hoa1374726218_state true) X) Y) X)))
% 1.85/2.23 (assert (forall ((X tptp.hoare_1708887482_state) (Y tptp.hoare_1708887482_state)) (= (@ (@ (@ tptp.if_Hoa1374726218_state false) X) Y) Y)))
% 1.85/2.23 (assert (forall ((P Bool)) (or (= P true) (= P false))))
% 1.85/2.23 (assert (forall ((X tptp.hoare_1708887482_state) (Y tptp.hoare_1708887482_state)) (or (not (@ (@ tptp.fequal224822779_state X) Y)) (= X Y))))
% 1.85/2.23 (assert (forall ((X tptp.hoare_1708887482_state) (Y tptp.hoare_1708887482_state)) (or (not (= X Y)) (@ (@ tptp.fequal224822779_state X) Y))))
% 1.85/2.23 (assert (forall ((X (-> tptp.hoare_1708887482_state Bool)) (Y (-> tptp.hoare_1708887482_state Bool))) (or (not (@ (@ tptp.fequal1436017556tate_o X) Y)) (= X Y))))
% 1.85/2.23 (assert (forall ((X (-> tptp.hoare_1708887482_state Bool)) (Y (-> tptp.hoare_1708887482_state Bool))) (or (not (= X Y)) (@ (@ tptp.fequal1436017556tate_o X) Y))))
% 1.85/2.23 (assert tptp.hoare_1160767572gleton)
% 1.85/2.23 (assert tptp.wT_bodies)
% 1.85/2.23 (assert (@ tptp.finite1625599783_state tptp.fa))
% 1.85/2.23 (assert (not (@ (@ tptp.member451959335_state (@ tptp.hoare_Mirabelle_MGT tptp.y)) tptp.fa)))
% 1.85/2.23 (assert (@ (@ tptp.ord_le777019615tate_o tptp.fa) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.the_com (@ tptp.body Pn))))) (@ tptp.dom_pname_com tptp.body))))
% 1.85/2.23 (assert (= (@ tptp.body tptp.pn) (@ tptp.some_com tptp.y)))
% 1.85/2.23 (assert (@ (@ tptp.hoare_90032982_state (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn)))) (@ tptp.dom_pname_com tptp.body))) tptp.fa))
% 1.85/2.23 (assert (not (@ (@ tptp.hoare_90032982_state (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn)))) (@ tptp.dom_pname_com tptp.body))) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT tptp.y)) tptp.bot_bo19817387tate_o))))
% 1.85/2.23 (set-info :filename cvc5---1.0.5_29699)
% 1.85/2.23 (check-sat-assuming ( true ))
% 1.85/2.23 ------- get file name : TPTP file name is SWW474^3
% 1.85/2.23 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29699.smt2...
% 1.85/2.23 --- Run --ho-elim --full-saturate-quant at 10...
% 1.85/2.23 % SZS status Theorem for SWW474^3
% 1.85/2.23 % SZS output start Proof for SWW474^3
% 1.85/2.23 (
% 1.85/2.23 (let ((_let_1 (@ tptp.hoare_Mirabelle_MGT tptp.y))) (let ((_let_2 (@ tptp.insert528405184_state _let_1))) (let ((_let_3 (@ tptp.dom_pname_com tptp.body))) (let ((_let_4 (@ tptp.hoare_90032982_state (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn)))) _let_3)))) (let ((_let_5 (not (@ _let_4 (@ _let_2 tptp.bot_bo19817387tate_o))))) (let ((_let_6 (= (@ tptp.body tptp.pn) (@ tptp.some_com tptp.y)))) (let ((_let_7 (= tptp.hoare_1160767572gleton (exists ((S_2 tptp.state) (T_1 tptp.state)) (not (= S_2 T_1)))))) (let ((_let_8 (forall ((Pn_1 tptp.pname) (B_82 tptp.com)) (=> tptp.wT_bodies (=> (= (@ tptp.body Pn_1) (@ tptp.some_com B_82)) (@ tptp.wt B_82)))))) (let ((_let_9 (= tptp.bot_bo19817387tate_o (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) false))))) (let ((_let_10 (= tptp.bot_bot_com_o (@ tptp.collect_com (lambda ((X_3 tptp.com)) false))))) (let ((_let_11 (= tptp.bot_bo1678742418te_o_o (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) false))))) (let ((_let_12 (= tptp.bot_bot_pname_o_o (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) false))))) (let ((_let_13 (= tptp.bot_bot_pname_o (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) false))))) (let ((_let_14 (forall ((C_34 tptp.com)) (=> tptp.hoare_1160767572gleton (=> tptp.wT_bodies (=> (@ tptp.wt C_34) (@ (@ tptp.hoare_90032982_state tptp.bot_bo19817387tate_o) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)))))))) (let ((_let_15 (forall ((G_35 (-> tptp.hoare_1708887482_state Bool)) (G_34 (-> tptp.hoare_1708887482_state Bool)) (Ts_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_35))) (=> (@ (@ tptp.hoare_90032982_state G_34) Ts_3) (=> (@ _let_1 G_34) (@ _let_1 Ts_3))))))) (let ((_let_16 (forall ((G_7 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.hoare_90032982_state G_7) tptp.bot_bo19817387tate_o)))) (let ((_let_17 (forall ((BOUND_VARIABLE_40024 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_40027 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_40023 |u_(-> tptp.hoare_1708887482_state Bool)|)) (let ((_let_1 (ho_385 k_529 BOUND_VARIABLE_40024))) (or (not (ho_210 (ho_385 k_529 BOUND_VARIABLE_40027) BOUND_VARIABLE_40023)) (not (ho_210 _let_1 BOUND_VARIABLE_40027)) (ho_210 _let_1 BOUND_VARIABLE_40023)))))) (let ((_let_18 (ho_203 k_202 k_200))) (let ((_let_19 (ho_203 (ho_205 k_204 (ho_189 k_188 tptp.y)) _let_18))) (let ((_let_20 (ho_566 (ho_565 k_564 k_184) (ho_198 k_269 k_192)))) (let ((_let_21 (ho_385 k_529 _let_20))) (let ((_let_22 (ho_210 _let_21 _let_19))) (let ((_let_23 (ho_210 _let_21 _let_18))) (let ((_let_24 (not _let_23))) (let ((_let_25 (ho_210 (ho_385 k_529 _let_18) _let_19))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_15)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((G_35 (-> tptp.hoare_1708887482_state Bool)) (G_34 (-> tptp.hoare_1708887482_state Bool)) (Ts_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_35))) (or (not (@ (@ tptp.hoare_90032982_state G_34) Ts_3)) (not (@ _let_1 G_34)) (@ _let_1 Ts_3)))) _let_17))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (ho_239 k_597 tptp.y))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_25))) (let ((_let_33 (forall ((C_34 tptp.com)) (let ((_let_1 (ho_203 k_202 k_200))) (or (not (ho_239 k_597 C_34)) (ho_210 (ho_385 k_529 _let_1) (ho_203 (ho_205 k_204 (ho_189 k_188 C_34)) _let_1))))))) (let ((_let_34 (forall ((S_2 tptp.state) (T_1 tptp.state)) (= S_2 T_1)))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (or _let_34 (forall ((C_34 tptp.com)) (let ((_let_1 (@ tptp.collec1568722789_state ll_2))) (or (not (@ tptp.wt C_34)) (@ (@ tptp.hoare_90032982_state _let_1) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) _let_1)))))))) (let ((_let_37 (not tptp.wT_bodies))) (let ((_let_38 (AND_INTRO (MACRO_SR_PRED_TRANSFORM (ASSUME :args (tptp.wT_bodies)) :args ((= tptp.wT_bodies true))) _let_35 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_39 (_let_33))) (let ((_let_40 (= (ho_584 k_587 tptp.y) (ho_193 k_192 tptp.pn)))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_30))) (let ((_let_43 (forall ((Pn_1 tptp.pname) (B_82 tptp.com)) (or (not (= (ho_584 k_587 B_82) (ho_193 k_192 Pn_1))) (ho_239 k_597 B_82))))) (let ((_let_44 (forall ((Pn_1 tptp.pname) (B_82 tptp.com)) (or (not (= (@ tptp.body Pn_1) (@ tptp.some_com B_82))) (@ tptp.wt B_82))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_38 :args ((or _let_37 _let_44) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= _let_44 _let_43))))))) (let ((_let_46 (forall ((BOUND_VARIABLE_39557 |u_(-> tptp.hoare_1708887482_state Bool)|)) (ho_210 (ho_385 k_529 BOUND_VARIABLE_39557) (ho_203 k_202 k_200))))) (let ((_let_47 (forall ((u |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname)|) (e |u_(-> tptp.hoare_1708887482_state tptp.pname)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname)|)) (not (forall ((ii tptp.pname)) (= (ho_506 v ii) (ite (= i ii) e (ho_506 u ii)))))))))) (let ((_let_48 (forall ((x |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname)|) (y |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname)|)) (or (not (forall ((z tptp.pname)) (= (ho_506 x z) (ho_506 y z)))) (= x y))))) (let ((_let_49 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (= (ho_425 v ii) (ite (= i ii) e (ho_425 u ii)))))))))) (let ((_let_50 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (= (ho_425 x z) (ho_425 y z)))) (= x y))))) (let ((_let_51 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|) (e tptp.com) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_367 v ii) (ite (= i ii) e (ho_367 u ii)))))))))) (let ((_let_52 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_367 x z) (ho_367 y z)))) (= x y))))) (let ((_let_53 (forall ((u |u_(-> tptp.com tptp.hoare_1708887482_state tptp.com)|) (e |u_(-> tptp.hoare_1708887482_state tptp.com)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.hoare_1708887482_state tptp.com)|)) (not (forall ((ii tptp.com)) (= (ho_503 v ii) (ite (= i ii) e (ho_503 u ii)))))))))) (let ((_let_54 (forall ((x |u_(-> tptp.com tptp.hoare_1708887482_state tptp.com)|) (y |u_(-> tptp.com tptp.hoare_1708887482_state tptp.com)|)) (or (not (forall ((z tptp.com)) (= (ho_503 x z) (ho_503 y z)))) (= x y))))) (let ((_let_55 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_750 v ii) (ite (= i ii) e (ho_750 u ii)))))))))) (let ((_let_56 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_750 x z) (ho_750 y z)))) (= x y))))) (let ((_let_57 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.com)|) (e tptp.com) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.com)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_504 v ii) (ite (= i ii) e (ho_504 u ii)))))))))) (let ((_let_58 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.com)|) (y |u_(-> tptp.hoare_1708887482_state tptp.com)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_504 x z) (ho_504 y z)))) (= x y))))) (let ((_let_59 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (= (ho_433 v ii) (ite (= i ii) e (ho_433 u ii)))))))))) (let ((_let_60 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (= (ho_433 x z) (ho_433 y z)))) (= x y))))) (let ((_let_61 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|)) (= (ho_370 v ii) (ite (= i ii) e (ho_370 u ii)))))))))) (let ((_let_62 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|)) (= (ho_370 x z) (ho_370 y z)))) (= x y))))) (let ((_let_63 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|) (e |u_(-> tptp.pname tptp.option_com)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_686 v ii) (ite (= i ii) e (ho_686 u ii)))))))))) (let ((_let_64 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_686 x z) (ho_686 y z)))) (= x y))))) (let ((_let_65 (forall ((u |u_(-> _u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (= (ho_694 v ii) (ite (= i ii) e (ho_694 u ii)))))))))) (let ((_let_66 (forall ((x |u_(-> _u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (= (ho_694 x z) (ho_694 y z)))) (= x y))))) (let ((_let_67 (forall ((u |u_(-> tptp.pname tptp.pname tptp.pname)|) (e |u_(-> tptp.pname tptp.pname)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.pname tptp.pname)|)) (not (forall ((ii tptp.pname)) (= (ho_501 v ii) (ite (= i ii) e (ho_501 u ii)))))))))) (let ((_let_68 (forall ((x |u_(-> tptp.pname tptp.pname tptp.pname)|) (y |u_(-> tptp.pname tptp.pname tptp.pname)|)) (or (not (forall ((z tptp.pname)) (= (ho_501 x z) (ho_501 y z)))) (= x y))))) (let ((_let_69 (forall ((u |u_(-> tptp.com tptp.pname tptp.com)|) (e |u_(-> tptp.pname tptp.com)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.pname tptp.com)|)) (not (forall ((ii tptp.com)) (= (ho_499 v ii) (ite (= i ii) e (ho_499 u ii)))))))))) (let ((_let_70 (forall ((x |u_(-> tptp.com tptp.pname tptp.com)|) (y |u_(-> tptp.com tptp.pname tptp.com)|)) (or (not (forall ((z tptp.com)) (= (ho_499 x z) (ho_499 y z)))) (= x y))))) (let ((_let_71 (forall ((u |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_692 v ii) (ite (= i ii) e (ho_692 u ii)))))))))) (let ((_let_72 (forall ((x |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_692 x z) (ho_692 y z)))) (= x y))))) (let ((_let_73 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_445 v ii) (ite (= i ii) e (ho_445 u ii)))))))))) (let ((_let_74 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_445 x z) (ho_445 y z)))) (= x y))))) (let ((_let_75 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option_pname)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.option_pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option_pname)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.option_pname)|)) (= (ho_590 v ii) (ite (= i ii) e (ho_590 u ii)))))))))) (let ((_let_76 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option_pname)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option_pname)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.option_pname)|)) (= (ho_590 x z) (ho_590 y z)))) (= x y))))) (let ((_let_77 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_446 v ii) (ite (= i ii) e (ho_446 u ii)))))))))) (let ((_let_78 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_446 x z) (ho_446 y z)))) (= x y))))) (let ((_let_79 (forall ((u |u_(-> tptp.option1624383643_state Bool)|) (e Bool) (i tptp.option1624383643_state)) (not (forall ((v |u_(-> tptp.option1624383643_state Bool)|)) (not (forall ((ii tptp.option1624383643_state)) (= (ho_679 v ii) (ite (= i ii) e (ho_679 u ii)))))))))) (let ((_let_80 (forall ((x |u_(-> tptp.option1624383643_state Bool)|) (y |u_(-> tptp.option1624383643_state Bool)|)) (or (not (forall ((z tptp.option1624383643_state)) (= (ho_679 x z) (ho_679 y z)))) (= x y))))) (let ((_let_81 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_442 v ii) (ite (= i ii) e (ho_442 u ii)))))))))) (let ((_let_82 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_442 x z) (ho_442 y z)))) (= x y))))) (let ((_let_83 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_544 v ii) (ite (= i ii) e (ho_544 u ii)))))))))) (let ((_let_84 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_544 x z) (ho_544 y z)))) (= x y))))) (let ((_let_85 (forall ((u |u_(-> tptp.option1624383643_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i tptp.option1624383643_state)) (not (forall ((v |u_(-> tptp.option1624383643_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii tptp.option1624383643_state)) (= (ho_635 v ii) (ite (= i ii) e (ho_635 u ii)))))))))) (let ((_let_86 (forall ((x |u_(-> tptp.option1624383643_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> tptp.option1624383643_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z tptp.option1624383643_state)) (= (ho_635 x z) (ho_635 y z)))) (= x y))))) (let ((_let_87 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_440 v ii) (ite (= i ii) e (ho_440 u ii)))))))))) (let ((_let_88 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_440 x z) (ho_440 y z)))) (= x y))))) (let ((_let_89 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|) (e |u_(-> _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_436 v ii) (ite (= i ii) e (ho_436 u ii)))))))))) (let ((_let_90 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_436 x z) (ho_436 y z)))) (= x y))))) (let ((_let_91 (forall ((u |u_(-> tptp.com tptp.pname)|) (e tptp.pname) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.pname)|)) (not (forall ((ii tptp.com)) (= (ho_434 v ii) (ite (= i ii) e (ho_434 u ii)))))))))) (let ((_let_92 (forall ((x |u_(-> tptp.com tptp.pname)|) (y |u_(-> tptp.com tptp.pname)|)) (or (not (forall ((z tptp.com)) (= (ho_434 x z) (ho_434 y z)))) (= x y))))) (let ((_let_93 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.pname)|) (e tptp.pname) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_430 v ii) (ite (= i ii) e (ho_430 u ii)))))))))) (let ((_let_94 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.pname)|) (y |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_430 x z) (ho_430 y z)))) (= x y))))) (let ((_let_95 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_424 v ii) (ite (= i ii) e (ho_424 u ii)))))))))) (let ((_let_96 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_424 x z) (ho_424 y z)))) (= x y))))) (let ((_let_97 (forall ((u |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_252 v ii) (ite (= i ii) e (ho_252 u ii)))))))))) (let ((_let_98 (forall ((x |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_252 x z) (ho_252 y z)))) (= x y))))) (let ((_let_99 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|) (e tptp.pname) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_422 v ii) (ite (= i ii) e (ho_422 u ii)))))))))) (let ((_let_100 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_422 x z) (ho_422 y z)))) (= x y))))) (let ((_let_101 (forall ((u |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (i |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (= (ho_343 v ii) (ite (= i ii) e (ho_343 u ii)))))))))) (let ((_let_102 (forall ((x |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (= (ho_343 x z) (ho_343 y z)))) (= x y))))) (let ((_let_103 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|)) (= (ho_421 v ii) (ite (= i ii) e (ho_421 u ii)))))))))) (let ((_let_104 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|)) (= (ho_421 x z) (ho_421 y z)))) (= x y))))) (let ((_let_105 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_414 v ii) (ite (= i ii) e (ho_414 u ii)))))))))) (let ((_let_106 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|) (y |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_414 x z) (ho_414 y z)))) (= x y))))) (let ((_let_107 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_707 v ii) (ite (= i ii) e (ho_707 u ii)))))))))) (let ((_let_108 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_707 x z) (ho_707 y z)))) (= x y))))) (let ((_let_109 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_412 v ii) (ite (= i ii) e (ho_412 u ii)))))))))) (let ((_let_110 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_412 x z) (ho_412 y z)))) (= x y))))) (let ((_let_111 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|) (e |u_(-> tptp.state tptp.state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_358 v ii) (ite (= i ii) e (ho_358 u ii)))))))))) (let ((_let_112 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_358 x z) (ho_358 y z)))) (= x y))))) (let ((_let_113 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_739 v ii) (ite (= i ii) e (ho_739 u ii)))))))))) (let ((_let_114 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_739 x z) (ho_739 y z)))) (= x y))))) (let ((_let_115 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (= (ho_413 v ii) (ite (= i ii) e (ho_413 u ii)))))))))) (let ((_let_116 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (= (ho_413 x z) (ho_413 y z)))) (= x y))))) (let ((_let_117 (forall ((u |u_(-> tptp.state tptp.state tptp.state Bool)|) (e |u_(-> tptp.state tptp.state Bool)|) (i tptp.state)) (not (forall ((v |u_(-> tptp.state tptp.state tptp.state Bool)|)) (not (forall ((ii tptp.state)) (= (ho_351 v ii) (ite (= i ii) e (ho_351 u ii)))))))))) (let ((_let_118 (forall ((x |u_(-> tptp.state tptp.state tptp.state Bool)|) (y |u_(-> tptp.state tptp.state tptp.state Bool)|)) (or (not (forall ((z tptp.state)) (= (ho_351 x z) (ho_351 y z)))) (= x y))))) (let ((_let_119 (forall ((u |u_(-> tptp.state tptp.state Bool)|) (e |u_(-> tptp.state Bool)|) (i tptp.state)) (not (forall ((v |u_(-> tptp.state tptp.state Bool)|)) (not (forall ((ii tptp.state)) (= (ho_318 v ii) (ite (= i ii) e (ho_318 u ii)))))))))) (let ((_let_120 (forall ((x |u_(-> tptp.state tptp.state Bool)|) (y |u_(-> tptp.state tptp.state Bool)|)) (or (not (forall ((z tptp.state)) (= (ho_318 x z) (ho_318 y z)))) (= x y))))) (let ((_let_121 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_416 v ii) (ite (= i ii) e (ho_416 u ii)))))))))) (let ((_let_122 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_416 x z) (ho_416 y z)))) (= x y))))) (let ((_let_123 (forall ((u |u_(-> tptp.pname tptp.pname)|) (e tptp.pname) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.pname)|)) (not (forall ((ii tptp.pname)) (= (ho_426 v ii) (ite (= i ii) e (ho_426 u ii)))))))))) (let ((_let_124 (forall ((x |u_(-> tptp.pname tptp.pname)|) (y |u_(-> tptp.pname tptp.pname)|)) (or (not (forall ((z tptp.pname)) (= (ho_426 x z) (ho_426 y z)))) (= x y))))) (let ((_let_125 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_387 v ii) (ite (= i ii) e (ho_387 u ii)))))))))) (let ((_let_126 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_387 x z) (ho_387 y z)))) (= x y))))) (let ((_let_127 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_495 v ii) (ite (= i ii) e (ho_495 u ii)))))))))) (let ((_let_128 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_495 x z) (ho_495 y z)))) (= x y))))) (let ((_let_129 (forall ((u |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|) (e |u_(-> tptp.com tptp.com Bool)|) (i |u_(-> tptp.com tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com tptp.hoare_1708887482_state)|)) (= (ho_449 v ii) (ite (= i ii) e (ho_449 u ii)))))))))) (let ((_let_130 (forall ((x |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com tptp.hoare_1708887482_state)|)) (= (ho_449 x z) (ho_449 y z)))) (= x y))))) (let ((_let_131 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_385 v ii) (ite (= i ii) e (ho_385 u ii)))))))))) (let ((_let_132 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_385 x z) (ho_385 y z)))) (= x y))))) (let ((_let_133 (forall ((u |u_(-> Bool tptp.state tptp.state Bool)|) (e |u_(-> tptp.state tptp.state Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.state tptp.state Bool)|)) (not (forall ((ii Bool)) (= (ho_379 v ii) (ite (= i ii) e (ho_379 u ii)))))))))) (let ((_let_134 (forall ((x |u_(-> Bool tptp.state tptp.state Bool)|) (y |u_(-> Bool tptp.state tptp.state Bool)|)) (or (not (forall ((z Bool)) (= (ho_379 x z) (ho_379 y z)))) (= x y))))) (let ((_let_135 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|) (e tptp.option1624383643_state) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_593 v ii) (ite (= i ii) e (ho_593 u ii)))))))))) (let ((_let_136 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|) (y |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_593 x z) (ho_593 y z)))) (= x y))))) (let ((_let_137 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|)) (= (ho_369 v ii) (ite (= i ii) e (ho_369 u ii)))))))))) (let ((_let_138 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|)) (= (ho_369 x z) (ho_369 y z)))) (= x y))))) (let ((_let_139 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (= (ho_559 v ii) (ite (= i ii) e (ho_559 u ii)))))))))) (let ((_let_140 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (= (ho_559 x z) (ho_559 y z)))) (= x y))))) (let ((_let_141 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> Bool Bool)|) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_748 v ii) (ite (= i ii) e (ho_748 u ii)))))))))) (let ((_let_142 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_748 x z) (ho_748 y z)))) (= x y))))) (let ((_let_143 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|) (e |u_(-> tptp.state tptp.state Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_366 v ii) (ite (= i ii) e (ho_366 u ii)))))))))) (let ((_let_144 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_366 x z) (ho_366 y z)))) (= x y))))) (let ((_let_145 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (i |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_762 v ii) (ite (= i ii) e (ho_762 u ii)))))))))) (let ((_let_146 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_762 x z) (ho_762 y z)))) (= x y))))) (let ((_let_147 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|) (e tptp.com) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_359 v ii) (ite (= i ii) e (ho_359 u ii)))))))))) (let ((_let_148 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_359 x z) (ho_359 y z)))) (= x y))))) (let ((_let_149 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|)) (= (ho_363 v ii) (ite (= i ii) e (ho_363 u ii)))))))))) (let ((_let_150 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|)) (= (ho_363 x z) (ho_363 y z)))) (= x y))))) (let ((_let_151 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_638 v ii) (ite (= i ii) e (ho_638 u ii)))))))))) (let ((_let_152 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_638 x z) (ho_638 y z)))) (= x y))))) (let ((_let_153 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.com tptp.hoare_1708887482_state)|) (e |u_(-> tptp.com tptp.hoare_1708887482_state)|) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.com tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_497 v ii) (ite (= i ii) e (ho_497 u ii)))))))))) (let ((_let_154 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.com tptp.hoare_1708887482_state)|) (y |u_(-> tptp.hoare_1708887482_state tptp.com tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_497 x z) (ho_497 y z)))) (= x y))))) (let ((_let_155 (forall ((u |u_(-> _u_(-> tptp.state tptp.state Bool)_ Bool tptp.state tptp.state Bool)|) (e |u_(-> Bool tptp.state tptp.state Bool)|) (i |u_(-> tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.state tptp.state Bool)_ Bool tptp.state tptp.state Bool)|)) (not (forall ((ii |u_(-> tptp.state tptp.state Bool)|)) (= (ho_378 v ii) (ite (= i ii) e (ho_378 u ii)))))))))) (let ((_let_156 (forall ((x |u_(-> _u_(-> tptp.state tptp.state Bool)_ Bool tptp.state tptp.state Bool)|) (y |u_(-> _u_(-> tptp.state tptp.state Bool)_ Bool tptp.state tptp.state Bool)|)) (or (not (forall ((z |u_(-> tptp.state tptp.state Bool)|)) (= (ho_378 x z) (ho_378 y z)))) (= x y))))) (let ((_let_157 (forall ((u |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (i |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (= (ho_355 v ii) (ite (= i ii) e (ho_355 u ii)))))))))) (let ((_let_158 (forall ((x |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (= (ho_355 x z) (ho_355 y z)))) (= x y))))) (let ((_let_159 (forall ((u |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (i |u_(-> tptp.pname tptp.com)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname tptp.com)|)) (= (ho_356 v ii) (ite (= i ii) e (ho_356 u ii)))))))))) (let ((_let_160 (forall ((x |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.com)|)) (= (ho_356 x z) (ho_356 y z)))) (= x y))))) (let ((_let_161 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_428 v ii) (ite (= i ii) e (ho_428 u ii)))))))))) (let ((_let_162 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_428 x z) (ho_428 y z)))) (= x y))))) (let ((_let_163 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (= (ho_538 v ii) (ite (= i ii) e (ho_538 u ii)))))))))) (let ((_let_164 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (= (ho_538 x z) (ho_538 y z)))) (= x y))))) (let ((_let_165 (forall ((u |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|) (i |u_(-> tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.state tptp.state Bool)|)) (= (ho_345 v ii) (ite (= i ii) e (ho_345 u ii)))))))))) (let ((_let_166 (forall ((x |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.state tptp.state Bool)|)) (= (ho_345 x z) (ho_345 y z)))) (= x y))))) (let ((_let_167 (forall ((u |u_(-> tptp.pname tptp.state tptp.state Bool)|) (e |u_(-> tptp.state tptp.state Bool)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (not (forall ((ii tptp.pname)) (= (ho_340 v ii) (ite (= i ii) e (ho_340 u ii)))))))))) (let ((_let_168 (forall ((x |u_(-> tptp.pname tptp.state tptp.state Bool)|) (y |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (or (not (forall ((z tptp.pname)) (= (ho_340 x z) (ho_340 y z)))) (= x y))))) (let ((_let_169 (forall ((u |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|) (e tptp.hoare_1708887482_state) (i |u_(-> tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.state tptp.state Bool)|)) (= (ho_347 v ii) (ite (= i ii) e (ho_347 u ii)))))))))) (let ((_let_170 (forall ((x |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.state tptp.state Bool)|)) (= (ho_347 x z) (ho_347 y z)))) (= x y))))) (let ((_let_171 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_223 v ii) (ite (= i ii) e (ho_223 u ii)))))))))) (let ((_let_172 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_223 x z) (ho_223 y z)))) (= x y))))) (let ((_let_173 (forall ((u |u_(-> _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|) (e |u_(-> tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.pname)|)) (= (ho_429 v ii) (ite (= i ii) e (ho_429 u ii)))))))))) (let ((_let_174 (forall ((x |u_(-> _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.pname)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.pname)|)) (= (ho_429 x z) (ho_429 y z)))) (= x y))))) (let ((_let_175 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_721 v ii) (ite (= i ii) e (ho_721 u ii)))))))))) (let ((_let_176 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_721 x z) (ho_721 y z)))) (= x y))))) (let ((_let_177 (forall ((u |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (i |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (= (ho_342 v ii) (ite (= i ii) e (ho_342 u ii)))))))))) (let ((_let_178 (forall ((x |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname tptp.state tptp.state Bool)_ _u_(-> tptp.pname tptp.state tptp.state Bool)_ tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.state tptp.state Bool)|)) (= (ho_342 x z) (ho_342 y z)))) (= x y))))) (let ((_let_179 (forall ((u |u_(-> tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.com)) (= (ho_346 v ii) (ite (= i ii) e (ho_346 u ii)))))))))) (let ((_let_180 (forall ((x |u_(-> tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> tptp.com _u_(-> tptp.state tptp.state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.com)) (= (ho_346 x z) (ho_346 y z)))) (= x y))))) (let ((_let_181 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|) (e |u_(-> tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_404 v ii) (ite (= i ii) e (ho_404 u ii)))))))))) (let ((_let_182 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_404 x z) (ho_404 y z)))) (= x y))))) (let ((_let_183 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_420 v ii) (ite (= i ii) e (ho_420 u ii)))))))))) (let ((_let_184 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_420 x z) (ho_420 y z)))) (= x y))))) (let ((_let_185 (forall ((u |u_(-> _u_(-> tptp.pname tptp.pname tptp.pname)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|) (i |u_(-> tptp.pname tptp.pname tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.pname tptp.pname)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.pname tptp.pname)|)) (= (ho_652 v ii) (ite (= i ii) e (ho_652 u ii)))))))))) (let ((_let_186 (forall ((x |u_(-> _u_(-> tptp.pname tptp.pname tptp.pname)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.pname tptp.pname)_ _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.pname tptp.pname)|)) (= (ho_652 x z) (ho_652 y z)))) (= x y))))) (let ((_let_187 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|)) (= (ho_362 v ii) (ite (= i ii) e (ho_362 u ii)))))))))) (let ((_let_188 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|)) (= (ho_362 x z) (ho_362 y z)))) (= x y))))) (let ((_let_189 (forall ((u |u_(-> _u_(-> tptp.state tptp.state Bool)_ _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|) (e |u_(-> _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|) (i |u_(-> tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.state tptp.state Bool)_ _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|)) (not (forall ((ii |u_(-> tptp.state tptp.state Bool)|)) (= (ho_326 v ii) (ite (= i ii) e (ho_326 u ii)))))))))) (let ((_let_190 (forall ((x |u_(-> _u_(-> tptp.state tptp.state Bool)_ _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|) (y |u_(-> _u_(-> tptp.state tptp.state Bool)_ _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|)) (or (not (forall ((z |u_(-> tptp.state tptp.state Bool)|)) (= (ho_326 x z) (ho_326 y z)))) (= x y))))) (let ((_let_191 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|) (e |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_448 v ii) (ite (= i ii) e (ho_448 u ii)))))))))) (let ((_let_192 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com tptp.hoare_1708887482_state)_ tptp.com tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_448 x z) (ho_448 y z)))) (= x y))))) (let ((_let_193 (forall ((u |u_(-> Bool tptp.option_com tptp.option_com tptp.option_com)|) (e |u_(-> tptp.option_com tptp.option_com tptp.option_com)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.option_com tptp.option_com tptp.option_com)|)) (not (forall ((ii Bool)) (= (ho_277 v ii) (ite (= i ii) e (ho_277 u ii)))))))))) (let ((_let_194 (forall ((x |u_(-> Bool tptp.option_com tptp.option_com tptp.option_com)|) (y |u_(-> Bool tptp.option_com tptp.option_com tptp.option_com)|)) (or (not (forall ((z Bool)) (= (ho_277 x z) (ho_277 y z)))) (= x y))))) (let ((_let_195 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (= (ho_726 v ii) (ite (= i ii) e (ho_726 u ii)))))))))) (let ((_let_196 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (= (ho_726 x z) (ho_726 y z)))) (= x y))))) (let ((_let_197 (forall ((u |u_(-> tptp.com Bool)|) (e Bool) (i tptp.com)) (not (forall ((v |u_(-> tptp.com Bool)|)) (not (forall ((ii tptp.com)) (= (ho_239 v ii) (ite (= i ii) e (ho_239 u ii)))))))))) (let ((_let_198 (forall ((x |u_(-> tptp.com Bool)|) (y |u_(-> tptp.com Bool)|)) (or (not (forall ((z tptp.com)) (= (ho_239 x z) (ho_239 y z)))) (= x y))))) (let ((_let_199 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (e tptp.hoare_1708887482_state) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_372 v ii) (ite (= i ii) e (ho_372 u ii)))))))))) (let ((_let_200 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_372 x z) (ho_372 y z)))) (= x y))))) (let ((_let_201 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (e tptp.hoare_1708887482_state) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_288 v ii) (ite (= i ii) e (ho_288 u ii)))))))))) (let ((_let_202 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (y |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_288 x z) (ho_288 y z)))) (= x y))))) (let ((_let_203 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_236 v ii) (ite (= i ii) e (ho_236 u ii)))))))))) (let ((_let_204 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_236 x z) (ho_236 y z)))) (= x y))))) (let ((_let_205 (forall ((u |u_(-> _u_(-> tptp.pname tptp.pname)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.pname)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.pname)|)) (= (ho_580 v ii) (ite (= i ii) e (ho_580 u ii)))))))))) (let ((_let_206 (forall ((x |u_(-> _u_(-> tptp.pname tptp.pname)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.pname)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.pname)|)) (= (ho_580 x z) (ho_580 y z)))) (= x y))))) (let ((_let_207 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_439 v ii) (ite (= i ii) e (ho_439 u ii)))))))))) (let ((_let_208 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_439 x z) (ho_439 y z)))) (= x y))))) (let ((_let_209 (forall ((u |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii tptp.pname)) (= (ho_208 v ii) (ite (= i ii) e (ho_208 u ii)))))))))) (let ((_let_210 (forall ((x |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|) (y |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z tptp.pname)) (= (ho_208 x z) (ho_208 y z)))) (= x y))))) (let ((_let_211 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|) (e |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_273 v ii) (ite (= i ii) e (ho_273 u ii)))))))))) (let ((_let_212 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_273 x z) (ho_273 y z)))) (= x y))))) (let ((_let_213 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 v ii) (ite (= i ii) e (ho_210 u ii)))))))))) (let ((_let_214 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 x z) (ho_210 y z)))) (= x y))))) (let ((_let_215 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_296 v ii) (ite (= i ii) e (ho_296 u ii)))))))))) (let ((_let_216 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_296 x z) (ho_296 y z)))) (= x y))))) (let ((_let_217 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_214 v ii) (ite (= i ii) e (ho_214 u ii)))))))))) (let ((_let_218 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_214 x z) (ho_214 y z)))) (= x y))))) (let ((_let_219 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.pname Bool)|) (e |u_(-> tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_259 v ii) (ite (= i ii) e (ho_259 u ii)))))))))) (let ((_let_220 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_259 x z) (ho_259 y z)))) (= x y))))) (let ((_let_221 (forall ((u |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.state tptp.state tptp.state Bool)|) (e |u_(-> tptp.state tptp.state tptp.state Bool)|) (i |u_(-> tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.state tptp.state tptp.state Bool)|)) (not (forall ((ii |u_(-> tptp.state tptp.state Bool)|)) (= (ho_353 v ii) (ite (= i ii) e (ho_353 u ii)))))))))) (let ((_let_222 (forall ((x |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.state tptp.state tptp.state Bool)|) (y |u_(-> _u_(-> tptp.state tptp.state Bool)_ tptp.state tptp.state tptp.state Bool)|)) (or (not (forall ((z |u_(-> tptp.state tptp.state Bool)|)) (= (ho_353 x z) (ho_353 y z)))) (= x y))))) (let ((_let_223 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_225 v ii) (ite (= i ii) e (ho_225 u ii)))))))))) (let ((_let_224 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_225 x z) (ho_225 y z)))) (= x y))))) (let ((_let_225 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_221 v ii) (ite (= i ii) e (ho_221 u ii)))))))))) (let ((_let_226 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_221 x z) (ho_221 y z)))) (= x y))))) (let ((_let_227 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (e |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_287 v ii) (ite (= i ii) e (ho_287 u ii)))))))))) (let ((_let_228 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (y |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_287 x z) (ho_287 y z)))) (= x y))))) (let ((_let_229 (forall ((u |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|) (e |u_(-> tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.pname Bool)|)) (= (ho_410 v ii) (ite (= i ii) e (ho_410 u ii)))))))))) (let ((_let_230 (forall ((x |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.pname Bool)|)) (= (ho_410 x z) (ho_410 y z)))) (= x y))))) (let ((_let_231 (forall ((u |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ tptp.com Bool)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (not (forall ((ii tptp.com)) (= (ho_243 v ii) (ite (= i ii) e (ho_243 u ii)))))))))) (let ((_let_232 (forall ((x |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|) (y |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (or (not (forall ((z tptp.com)) (= (ho_243 x z) (ho_243 y z)))) (= x y))))) (let ((_let_233 (forall ((u |u_(-> tptp.pname tptp.option_com tptp.pname tptp.option_com)|) (e |u_(-> tptp.option_com tptp.pname tptp.option_com)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.option_com tptp.pname tptp.option_com)|)) (not (forall ((ii tptp.pname)) (= (ho_712 v ii) (ite (= i ii) e (ho_712 u ii)))))))))) (let ((_let_234 (forall ((x |u_(-> tptp.pname tptp.option_com tptp.pname tptp.option_com)|) (y |u_(-> tptp.pname tptp.option_com tptp.pname tptp.option_com)|)) (or (not (forall ((z tptp.pname)) (= (ho_712 x z) (ho_712 y z)))) (= x y))))) (let ((_let_235 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|)) (= (ho_371 v ii) (ite (= i ii) e (ho_371 u ii)))))))))) (let ((_let_236 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|)) (= (ho_371 x z) (ho_371 y z)))) (= x y))))) (let ((_let_237 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.com)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.com)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.com)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.com)|)) (= (ho_574 v ii) (ite (= i ii) e (ho_574 u ii)))))))))) (let ((_let_238 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.com)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.com)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.com)|)) (= (ho_574 x z) (ho_574 y z)))) (= x y))))) (let ((_let_239 (forall ((u |u_(-> tptp.option_com tptp.pname tptp.option_com)|) (e |u_(-> tptp.pname tptp.option_com)|) (i tptp.option_com)) (not (forall ((v |u_(-> tptp.option_com tptp.pname tptp.option_com)|)) (not (forall ((ii tptp.option_com)) (= (ho_713 v ii) (ite (= i ii) e (ho_713 u ii)))))))))) (let ((_let_240 (forall ((x |u_(-> tptp.option_com tptp.pname tptp.option_com)|) (y |u_(-> tptp.option_com tptp.pname tptp.option_com)|)) (or (not (forall ((z tptp.option_com)) (= (ho_713 x z) (ho_713 y z)))) (= x y))))) (let ((_let_241 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|) (e |u_(-> tptp.pname tptp.option_com)|) (i |u_(-> tptp.pname tptp.option_com)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option_com)|)) (= (ho_275 v ii) (ite (= i ii) e (ho_275 u ii)))))))))) (let ((_let_242 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|) (y |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option_com)|)) (= (ho_275 x z) (ho_275 y z)))) (= x y))))) (let ((_let_243 (forall ((u |u_(-> tptp.pname tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.pname Bool)|)) (not (forall ((ii tptp.pname)) (= (ho_260 v ii) (ite (= i ii) e (ho_260 u ii)))))))))) (let ((_let_244 (forall ((x |u_(-> tptp.pname tptp.pname Bool)|) (y |u_(-> tptp.pname tptp.pname Bool)|)) (or (not (forall ((z tptp.pname)) (= (ho_260 x z) (ho_260 y z)))) (= x y))))) (let ((_let_245 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_432 v ii) (ite (= i ii) e (ho_432 u ii)))))))))) (let ((_let_246 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state tptp.pname)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_432 x z) (ho_432 y z)))) (= x y))))) (let ((_let_247 (forall ((u |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname Bool)_ tptp.com Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.com Bool)|) (i |u_(-> tptp.pname tptp.com)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname Bool)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.com)|)) (= (ho_582 v ii) (ite (= i ii) e (ho_582 u ii)))))))))) (let ((_let_248 (forall ((x |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname Bool)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.com)_ _u_(-> tptp.pname Bool)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.com)|)) (= (ho_582 x z) (ho_582 y z)))) (= x y))))) (let ((_let_249 (forall ((u |u_(-> _u_(-> tptp.state Bool)_ tptp.com tptp.com)|) (e |u_(-> tptp.com tptp.com)|) (i |u_(-> tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.state Bool)_ tptp.com tptp.com)|)) (not (forall ((ii |u_(-> tptp.state Bool)|)) (= (ho_655 v ii) (ite (= i ii) e (ho_655 u ii)))))))))) (let ((_let_250 (forall ((x |u_(-> _u_(-> tptp.state Bool)_ tptp.com tptp.com)|) (y |u_(-> _u_(-> tptp.state Bool)_ tptp.com tptp.com)|)) (or (not (forall ((z |u_(-> tptp.state Bool)|)) (= (ho_655 x z) (ho_655 y z)))) (= x y))))) (let ((_let_251 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_219 v ii) (ite (= i ii) e (ho_219 u ii)))))))))) (let ((_let_252 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_219 x z) (ho_219 y z)))) (= x y))))) (let ((_let_253 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|) (e tptp.pname) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_418 v ii) (ite (= i ii) e (ho_418 u ii)))))))))) (let ((_let_254 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_418 x z) (ho_418 y z)))) (= x y))))) (let ((_let_255 (forall ((u |u_(-> tptp.pname Bool)|) (e Bool) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname Bool)|)) (not (forall ((ii tptp.pname)) (= (ho_199 v ii) (ite (= i ii) e (ho_199 u ii)))))))))) (let ((_let_256 (forall ((x |u_(-> tptp.pname Bool)|) (y |u_(-> tptp.pname Bool)|)) (or (not (forall ((z tptp.pname)) (= (ho_199 x z) (ho_199 y z)))) (= x y))))) (let ((_let_257 (forall ((u |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (e tptp.hoare_1708887482_state) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.pname)) (= (ho_185 v ii) (ite (= i ii) e (ho_185 u ii)))))))))) (let ((_let_258 (forall ((x |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.pname)) (= (ho_185 x z) (ho_185 y z)))) (= x y))))) (let ((_let_259 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_406 v ii) (ite (= i ii) e (ho_406 u ii)))))))))) (let ((_let_260 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_406 x z) (ho_406 y z)))) (= x y))))) (let ((_let_261 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_297 v ii) (ite (= i ii) e (ho_297 u ii)))))))))) (let ((_let_262 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_297 x z) (ho_297 y z)))) (= x y))))) (let ((_let_263 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|)) (= (ho_361 v ii) (ite (= i ii) e (ho_361 u ii)))))))))) (let ((_let_264 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|)) (= (ho_361 x z) (ho_361 y z)))) (= x y))))) (let ((_let_265 (forall ((u |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_205 v ii) (ite (= i ii) e (ho_205 u ii)))))))))) (let ((_let_266 (forall ((x |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_205 x z) (ho_205 y z)))) (= x y))))) (let ((_let_267 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_612 v ii) (ite (= i ii) e (ho_612 u ii)))))))))) (let ((_let_268 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_612 x z) (ho_612 y z)))) (= x y))))) (let ((_let_269 (forall ((u |u_(-> Bool tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (e |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (i Bool)) (not (forall ((v |u_(-> Bool tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (not (forall ((ii Bool)) (= (ho_286 v ii) (ite (= i ii) e (ho_286 u ii)))))))))) (let ((_let_270 (forall ((x |u_(-> Bool tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (y |u_(-> Bool tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (or (not (forall ((z Bool)) (= (ho_286 x z) (ho_286 y z)))) (= x y))))) (let ((_let_271 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ tptp.com Bool)|) (e |u_(-> tptp.com Bool)|) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_241 v ii) (ite (= i ii) e (ho_241 u ii)))))))))) (let ((_let_272 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_241 x z) (ho_241 y z)))) (= x y))))) (let ((_let_273 (forall ((u |u_(-> tptp.com tptp.state tptp.state Bool)|) (e |u_(-> tptp.state tptp.state Bool)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.state tptp.state Bool)|)) (not (forall ((ii tptp.com)) (= (ho_317 v ii) (ite (= i ii) e (ho_317 u ii)))))))))) (let ((_let_274 (forall ((x |u_(-> tptp.com tptp.state tptp.state Bool)|) (y |u_(-> tptp.com tptp.state tptp.state Bool)|)) (or (not (forall ((z tptp.com)) (= (ho_317 x z) (ho_317 y z)))) (= x y))))) (let ((_let_275 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_642 v ii) (ite (= i ii) e (ho_642 u ii)))))))))) (let ((_let_276 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_642 x z) (ho_642 y z)))) (= x y))))) (let ((_let_277 (forall ((u |u_(-> tptp.pname tptp.com)|) (e tptp.com) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.com)|)) (not (forall ((ii tptp.pname)) (= (ho_187 v ii) (ite (= i ii) e (ho_187 u ii)))))))))) (let ((_let_278 (forall ((x |u_(-> tptp.pname tptp.com)|) (y |u_(-> tptp.pname tptp.com)|)) (or (not (forall ((z tptp.pname)) (= (ho_187 x z) (ho_187 y z)))) (= x y))))) (let ((_let_279 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|) (e |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|) (i |u_(-> tptp.pname tptp.option_com)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option_com)|)) (= (ho_274 v ii) (ite (= i ii) e (ho_274 u ii)))))))))) (let ((_let_280 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|) (y |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option_com)|)) (= (ho_274 x z) (ho_274 y z)))) (= x y))))) (let ((_let_281 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_563 v ii) (ite (= i ii) e (ho_563 u ii)))))))))) (let ((_let_282 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_563 x z) (ho_563 y z)))) (= x y))))) (let ((_let_283 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (= (ho_653 v ii) (ite (= i ii) e (ho_653 u ii)))))))))) (let ((_let_284 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|)) (= (ho_653 x z) (ho_653 y z)))) (= x y))))) (let ((_let_285 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_409 v ii) (ite (= i ii) e (ho_409 u ii)))))))))) (let ((_let_286 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.pname Bool)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_409 x z) (ho_409 y z)))) (= x y))))) (let ((_let_287 (forall ((u |u_(-> tptp.state Bool)|) (e Bool) (i tptp.state)) (not (forall ((v |u_(-> tptp.state Bool)|)) (not (forall ((ii tptp.state)) (= (ho_319 v ii) (ite (= i ii) e (ho_319 u ii)))))))))) (let ((_let_288 (forall ((x |u_(-> tptp.state Bool)|) (y |u_(-> tptp.state Bool)|)) (or (not (forall ((z tptp.state)) (= (ho_319 x z) (ho_319 y z)))) (= x y))))) (let ((_let_289 (forall ((u |u_(-> tptp.com tptp.hoare_1708887482_state)|) (e tptp.hoare_1708887482_state) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.com)) (= (ho_189 v ii) (ite (= i ii) e (ho_189 u ii)))))))))) (let ((_let_290 (forall ((x |u_(-> tptp.com tptp.hoare_1708887482_state)|) (y |u_(-> tptp.com tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.com)) (= (ho_189 x z) (ho_189 y z)))) (= x y))))) (let ((_let_291 (forall ((u |u_(-> tptp.option_com tptp.com)|) (e tptp.com) (i tptp.option_com)) (not (forall ((v |u_(-> tptp.option_com tptp.com)|)) (not (forall ((ii tptp.option_com)) (= (ho_195 v ii) (ite (= i ii) e (ho_195 u ii)))))))))) (let ((_let_292 (forall ((x |u_(-> tptp.option_com tptp.com)|) (y |u_(-> tptp.option_com tptp.com)|)) (or (not (forall ((z tptp.option_com)) (= (ho_195 x z) (ho_195 y z)))) (= x y))))) (let ((_let_293 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.option_com)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option_com)|)) (= (ho_198 v ii) (ite (= i ii) e (ho_198 u ii)))))))))) (let ((_let_294 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option_com)|)) (= (ho_198 x z) (ho_198 y z)))) (= x y))))) (let ((_let_295 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|) (e |u_(-> tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (= (ho_407 v ii) (ite (= i ii) e (ho_407 u ii)))))))))) (let ((_let_296 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (= (ho_407 x z) (ho_407 y z)))) (= x y))))) (let ((_let_297 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_283 v ii) (ite (= i ii) e (ho_283 u ii)))))))))) (let ((_let_298 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_283 x z) (ho_283 y z)))) (= x y))))) (let ((_let_299 (forall ((u |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((ii tptp.pname)) (= (ho_234 v ii) (ite (= i ii) e (ho_234 u ii)))))))))) (let ((_let_300 (forall ((x |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (y |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (or (not (forall ((z tptp.pname)) (= (ho_234 x z) (ho_234 y z)))) (= x y))))) (let ((_let_301 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_228 v ii) (ite (= i ii) e (ho_228 u ii)))))))))) (let ((_let_302 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_228 x z) (ho_228 y z)))) (= x y))))) (let ((_let_303 (forall ((u |u_(-> tptp.hoare_1708887482_state Bool)|) (e Bool) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_201 v ii) (ite (= i ii) e (ho_201 u ii)))))))))) (let ((_let_304 (forall ((x |u_(-> tptp.hoare_1708887482_state Bool)|) (y |u_(-> tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_201 x z) (ho_201 y z)))) (= x y))))) (let ((_let_305 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_556 v ii) (ite (= i ii) e (ho_556 u ii)))))))))) (let ((_let_306 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_556 x z) (ho_556 y z)))) (= x y))))) (let ((_let_307 (forall ((u |u_(-> tptp.pname tptp.option_com)|) (e tptp.option_com) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.option_com)|)) (not (forall ((ii tptp.pname)) (= (ho_193 v ii) (ite (= i ii) e (ho_193 u ii)))))))))) (let ((_let_308 (forall ((x |u_(-> tptp.pname tptp.option_com)|) (y |u_(-> tptp.pname tptp.option_com)|)) (or (not (forall ((z tptp.pname)) (= (ho_193 x z) (ho_193 y z)))) (= x y))))) (let ((_let_309 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ tptp.com Bool)|) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_245 v ii) (ite (= i ii) e (ho_245 u ii)))))))))) (let ((_let_310 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_245 x z) (ho_245 y z)))) (= x y))))) (let ((_let_311 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|)) (= (ho_417 v ii) (ite (= i ii) e (ho_417 u ii)))))))))) (let ((_let_312 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|)) (= (ho_417 x z) (ho_417 y z)))) (= x y))))) (let ((_let_313 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_268 v ii) (ite (= i ii) e (ho_268 u ii)))))))))) (let ((_let_314 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.option_com)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_268 x z) (ho_268 y z)))) (= x y))))) (let ((_let_315 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_756 v ii) (ite (= i ii) e (ho_756 u ii)))))))))) (let ((_let_316 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_756 x z) (ho_756 y z)))) (= x y))))) (let ((_let_317 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_203 v ii) (ite (= i ii) e (ho_203 u ii)))))))))) (let ((_let_318 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_203 x z) (ho_203 y z)))) (= x y))))) (let ((_let_319 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (e tptp.hoare_1708887482_state) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_364 v ii) (ite (= i ii) e (ho_364 u ii)))))))))) (let ((_let_320 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_364 x z) (ho_364 y z)))) (= x y))))) (let ((_let_321 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_254 v ii) (ite (= i ii) e (ho_254 u ii)))))))))) (let ((_let_322 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_254 x z) (ho_254 y z)))) (= x y))))) (let ((_let_323 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_403 v ii) (ite (= i ii) e (ho_403 u ii)))))))))) (let ((_let_324 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_403 x z) (ho_403 y z)))) (= x y))))) (let ((_let_325 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_263 v ii) (ite (= i ii) e (ho_263 u ii)))))))))) (let ((_let_326 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_263 x z) (ho_263 y z)))) (= x y))))) (let ((_let_327 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_443 v ii) (ite (= i ii) e (ho_443 u ii)))))))))) (let ((_let_328 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_443 x z) (ho_443 y z)))) (= x y))))) (let ((_let_329 (forall ((u |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii tptp.pname)) (= (ho_257 v ii) (ite (= i ii) e (ho_257 u ii)))))))))) (let ((_let_330 (forall ((x |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z tptp.pname)) (= (ho_257 x z) (ho_257 y z)))) (= x y))))) (let ((_let_331 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_207 v ii) (ite (= i ii) e (ho_207 u ii)))))))))) (let ((_let_332 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_207 x z) (ho_207 y z)))) (= x y))))) (let ((_let_333 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_255 v ii) (ite (= i ii) e (ho_255 u ii)))))))))) (let ((_let_334 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (y |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_255 x z) (ho_255 y z)))) (= x y))))) (let ((_let_335 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ Bool)|) (e Bool) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_703 v ii) (ite (= i ii) e (ho_703 u ii)))))))))) (let ((_let_336 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_703 x z) (ho_703 y z)))) (= x y))))) (let ((_let_337 (forall ((u |u_(-> tptp.com _u_(-> tptp.com Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ Bool)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com _u_(-> tptp.com Bool)_ Bool)|)) (not (forall ((ii tptp.com)) (= (ho_262 v ii) (ite (= i ii) e (ho_262 u ii)))))))))) (let ((_let_338 (forall ((x |u_(-> tptp.com _u_(-> tptp.com Bool)_ Bool)|) (y |u_(-> tptp.com _u_(-> tptp.com Bool)_ Bool)|)) (or (not (forall ((z tptp.com)) (= (ho_262 x z) (ho_262 y z)))) (= x y))))) (let ((_let_339 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_216 v ii) (ite (= i ii) e (ho_216 u ii)))))))))) (let ((_let_340 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_216 x z) (ho_216 y z)))) (= x y))))) (let ((_let_341 (forall ((u |u_(-> tptp.com tptp.com Bool)|) (e |u_(-> tptp.com Bool)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.com Bool)|)) (not (forall ((ii tptp.com)) (= (ho_266 v ii) (ite (= i ii) e (ho_266 u ii)))))))))) (let ((_let_342 (forall ((x |u_(-> tptp.com tptp.com Bool)|) (y |u_(-> tptp.com tptp.com Bool)|)) (or (not (forall ((z tptp.com)) (= (ho_266 x z) (ho_266 y z)))) (= x y))))) (let ((_let_343 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ tptp.com tptp.com Bool)|) (e |u_(-> tptp.com tptp.com Bool)|) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ tptp.com tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_265 v ii) (ite (= i ii) e (ho_265 u ii)))))))))) (let ((_let_344 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ tptp.com tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ tptp.com tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_265 x z) (ho_265 y z)))) (= x y))))) (let ((_let_345 (forall ((u |u_(-> tptp.option_com tptp.option_com)|) (e tptp.option_com) (i tptp.option_com)) (not (forall ((v |u_(-> tptp.option_com tptp.option_com)|)) (not (forall ((ii tptp.option_com)) (= (ho_279 v ii) (ite (= i ii) e (ho_279 u ii)))))))))) (let ((_let_346 (forall ((x |u_(-> tptp.option_com tptp.option_com)|) (y |u_(-> tptp.option_com tptp.option_com)|)) (or (not (forall ((z tptp.option_com)) (= (ho_279 x z) (ho_279 y z)))) (= x y))))) (let ((_let_347 (forall ((u |u_(-> _u_(-> tptp.com tptp.pname)_ _u_(-> tptp.com Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ tptp.pname Bool)|) (i |u_(-> tptp.com tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.pname)_ _u_(-> tptp.com Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.com tptp.pname)|)) (= (ho_599 v ii) (ite (= i ii) e (ho_599 u ii)))))))))) (let ((_let_348 (forall ((x |u_(-> _u_(-> tptp.com tptp.pname)_ _u_(-> tptp.com Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.com tptp.pname)_ _u_(-> tptp.com Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.com tptp.pname)|)) (= (ho_599 x z) (ho_599 y z)))) (= x y))))) (let ((_let_349 (forall ((u |u_(-> _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|) (e |u_(-> tptp.com tptp.com Bool)|) (i |u_(-> tptp.com tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com tptp.pname)|)) (= (ho_437 v ii) (ite (= i ii) e (ho_437 u ii)))))))))) (let ((_let_350 (forall ((x |u_(-> _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com tptp.pname)_ tptp.com tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com tptp.pname)|)) (= (ho_437 x z) (ho_437 y z)))) (= x y))))) (let ((_let_351 (forall ((u |u_(-> tptp.option_com tptp.option_com tptp.option_com)|) (e |u_(-> tptp.option_com tptp.option_com)|) (i tptp.option_com)) (not (forall ((v |u_(-> tptp.option_com tptp.option_com tptp.option_com)|)) (not (forall ((ii tptp.option_com)) (= (ho_278 v ii) (ite (= i ii) e (ho_278 u ii)))))))))) (let ((_let_352 (forall ((x |u_(-> tptp.option_com tptp.option_com tptp.option_com)|) (y |u_(-> tptp.option_com tptp.option_com tptp.option_com)|)) (or (not (forall ((z tptp.option_com)) (= (ho_278 x z) (ho_278 y z)))) (= x y))))) (let ((_let_353 (forall ((u |u_(-> _u_(-> tptp.com tptp.com)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ tptp.com Bool)|) (i |u_(-> tptp.com tptp.com)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.com)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com tptp.com)|)) (= (ho_662 v ii) (ite (= i ii) e (ho_662 u ii)))))))))) (let ((_let_354 (forall ((x |u_(-> _u_(-> tptp.com tptp.com)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com tptp.com)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com tptp.com)|)) (= (ho_662 x z) (ho_662 y z)))) (= x y))))) (let ((_let_355 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_212 v ii) (ite (= i ii) e (ho_212 u ii)))))))))) (let ((_let_356 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_212 x z) (ho_212 y z)))) (= x y))))) (let ((_let_357 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_284 v ii) (ite (= i ii) e (ho_284 u ii)))))))))) (let ((_let_358 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_284 x z) (ho_284 y z)))) (= x y))))) (let ((_let_359 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (= (ho_531 v ii) (ite (= i ii) e (ho_531 u ii)))))))))) (let ((_let_360 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (= (ho_531 x z) (ho_531 y z)))) (= x y))))) (let ((_let_361 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_232 v ii) (ite (= i ii) e (ho_232 u ii)))))))))) (let ((_let_362 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_232 x z) (ho_232 y z)))) (= x y))))) (let ((_let_363 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_282 v ii) (ite (= i ii) e (ho_282 u ii)))))))))) (let ((_let_364 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_282 x z) (ho_282 y z)))) (= x y))))) (let ((_let_365 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_301 v ii) (ite (= i ii) e (ho_301 u ii)))))))))) (let ((_let_366 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_301 x z) (ho_301 y z)))) (= x y))))) (let ((_let_367 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_300 v ii) (ite (= i ii) e (ho_300 u ii)))))))))) (let ((_let_368 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_300 x z) (ho_300 y z)))) (= x y))))) (let ((_let_369 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_735 v ii) (ite (= i ii) e (ho_735 u ii)))))))))) (let ((_let_370 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_735 x z) (ho_735 y z)))) (= x y))))) (let ((_let_371 (forall ((u |u_(-> _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|) (e |u_(-> tptp.state tptp.state Bool)|) (i |u_(-> tptp.state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|)) (not (forall ((ii |u_(-> tptp.state Bool)|)) (= (ho_327 v ii) (ite (= i ii) e (ho_327 u ii)))))))))) (let ((_let_372 (forall ((x |u_(-> _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|) (y |u_(-> _u_(-> tptp.state Bool)_ tptp.state tptp.state Bool)|)) (or (not (forall ((z |u_(-> tptp.state Bool)|)) (= (ho_327 x z) (ho_327 y z)))) (= x y))))) (let ((_let_373 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ tptp.com)|) (e tptp.com) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ tptp.com)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_616 v ii) (ite (= i ii) e (ho_616 u ii)))))))))) (let ((_let_374 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ tptp.com)|) (y |u_(-> _u_(-> tptp.com Bool)_ tptp.com)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_616 x z) (ho_616 y z)))) (= x y))))) (let ((_let_375 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_524 v ii) (ite (= i ii) e (ho_524 u ii)))))))))) (let ((_let_376 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_524 x z) (ho_524 y z)))) (= x y))))) (let ((_let_377 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_527 v ii) (ite (= i ii) e (ho_527 u ii)))))))))) (let ((_let_378 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_527 x z) (ho_527 y z)))) (= x y))))) (let ((_let_379 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (= (ho_533 v ii) (ite (= i ii) e (ho_533 u ii)))))))))) (let ((_let_380 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ Bool)|)) (= (ho_533 x z) (ho_533 y z)))) (= x y))))) (let ((_let_381 (forall ((u |u_(-> Bool _u_(-> Bool Bool)_ Bool Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool Bool)_ Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_747 v ii) (ite (= i ii) e (ho_747 u ii)))))))))) (let ((_let_382 (forall ((x |u_(-> Bool _u_(-> Bool Bool)_ Bool Bool)|) (y |u_(-> Bool _u_(-> Bool Bool)_ Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_747 x z) (ho_747 y z)))) (= x y))))) (let ((_let_383 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (i |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (= (ho_536 v ii) (ite (= i ii) e (ho_536 u ii)))))))))) (let ((_let_384 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (= (ho_536 x z) (ho_536 y z)))) (= x y))))) (let ((_let_385 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|)) (= (ho_543 v ii) (ite (= i ii) e (ho_543 u ii)))))))))) (let ((_let_386 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|)) (= (ho_543 x z) (ho_543 y z)))) (= x y))))) (let ((_let_387 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (= (ho_546 v ii) (ite (= i ii) e (ho_546 u ii)))))))))) (let ((_let_388 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|)) (= (ho_546 x z) (ho_546 y z)))) (= x y))))) (let ((_let_389 (forall ((u |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> tptp.pname tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.pname Bool)|)) (= (ho_548 v ii) (ite (= i ii) e (ho_548 u ii)))))))))) (let ((_let_390 (forall ((x |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.pname Bool)|)) (= (ho_548 x z) (ho_548 y z)))) (= x y))))) (let ((_let_391 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_551 v ii) (ite (= i ii) e (ho_551 u ii)))))))))) (let ((_let_392 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_551 x z) (ho_551 y z)))) (= x y))))) (let ((_let_393 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (= (ho_550 v ii) (ite (= i ii) e (ho_550 u ii)))))))))) (let ((_let_394 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|)) (= (ho_550 x z) (ho_550 y z)))) (= x y))))) (let ((_let_395 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_554 v ii) (ite (= i ii) e (ho_554 u ii)))))))))) (let ((_let_396 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_554 x z) (ho_554 y z)))) (= x y))))) (let ((_let_397 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_650 v ii) (ite (= i ii) e (ho_650 u ii)))))))))) (let ((_let_398 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_650 x z) (ho_650 y z)))) (= x y))))) (let ((_let_399 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_553 v ii) (ite (= i ii) e (ho_553 u ii)))))))))) (let ((_let_400 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|)) (= (ho_553 x z) (ho_553 y z)))) (= x y))))) (let ((_let_401 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_557 v ii) (ite (= i ii) e (ho_557 u ii)))))))))) (let ((_let_402 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_557 x z) (ho_557 y z)))) (= x y))))) (let ((_let_403 (forall ((u |u_(-> tptp.com tptp.com)|) (e tptp.com) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.com)|)) (not (forall ((ii tptp.com)) (= (ho_644 v ii) (ite (= i ii) e (ho_644 u ii)))))))))) (let ((_let_404 (forall ((x |u_(-> tptp.com tptp.com)|) (y |u_(-> tptp.com tptp.com)|)) (or (not (forall ((z tptp.com)) (= (ho_644 x z) (ho_644 y z)))) (= x y))))) (let ((_let_405 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_560 v ii) (ite (= i ii) e (ho_560 u ii)))))))))) (let ((_let_406 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_560 x z) (ho_560 y z)))) (= x y))))) (let ((_let_407 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|)) (= (ho_562 v ii) (ite (= i ii) e (ho_562 u ii)))))))))) (let ((_let_408 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|)) (= (ho_562 x z) (ho_562 y z)))) (= x y))))) (let ((_let_409 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_566 v ii) (ite (= i ii) e (ho_566 u ii)))))))))) (let ((_let_410 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_566 x z) (ho_566 y z)))) (= x y))))) (let ((_let_411 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_565 v ii) (ite (= i ii) e (ho_565 u ii)))))))))) (let ((_let_412 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_565 x z) (ho_565 y z)))) (= x y))))) (let ((_let_413 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ Bool)|) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_568 v ii) (ite (= i ii) e (ho_568 u ii)))))))))) (let ((_let_414 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_568 x z) (ho_568 y z)))) (= x y))))) (let ((_let_415 (forall ((u |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.pname)) (= (ho_701 v ii) (ite (= i ii) e (ho_701 u ii)))))))))) (let ((_let_416 (forall ((x |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.pname)) (= (ho_701 x z) (ho_701 y z)))) (= x y))))) (let ((_let_417 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_572 v ii) (ite (= i ii) e (ho_572 u ii)))))))))) (let ((_let_418 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_572 x z) (ho_572 y z)))) (= x y))))) (let ((_let_419 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (= (ho_571 v ii) (ite (= i ii) e (ho_571 u ii)))))))))) (let ((_let_420 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (= (ho_571 x z) (ho_571 y z)))) (= x y))))) (let ((_let_421 (forall ((u |u_(-> _u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_696 v ii) (ite (= i ii) e (ho_696 u ii)))))))))) (let ((_let_422 (forall ((x |u_(-> _u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_696 x z) (ho_696 y z)))) (= x y))))) (let ((_let_423 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|) (e |u_(-> tptp.com Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_575 v ii) (ite (= i ii) e (ho_575 u ii)))))))))) (let ((_let_424 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_575 x z) (ho_575 y z)))) (= x y))))) (let ((_let_425 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_578 v ii) (ite (= i ii) e (ho_578 u ii)))))))))) (let ((_let_426 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_578 x z) (ho_578 y z)))) (= x y))))) (let ((_let_427 (forall ((u |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.com tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.com tptp.hoare_1708887482_state)|)) (= (ho_577 v ii) (ite (= i ii) e (ho_577 u ii)))))))))) (let ((_let_428 (forall ((x |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.com tptp.hoare_1708887482_state)_ _u_(-> tptp.com Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.com tptp.hoare_1708887482_state)|)) (= (ho_577 x z) (ho_577 y z)))) (= x y))))) (let ((_let_429 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ tptp.com Bool)|) (e |u_(-> tptp.com Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_583 v ii) (ite (= i ii) e (ho_583 u ii)))))))))) (let ((_let_430 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_583 x z) (ho_583 y z)))) (= x y))))) (let ((_let_431 (forall ((u |u_(-> Bool _u_(-> Bool Bool)_ Bool)|) (e |u_(-> _u_(-> Bool Bool)_ Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii Bool)) (= (ho_742 v ii) (ite (= i ii) e (ho_742 u ii)))))))))) (let ((_let_432 (forall ((x |u_(-> Bool _u_(-> Bool Bool)_ Bool)|) (y |u_(-> Bool _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z Bool)) (= (ho_742 x z) (ho_742 y z)))) (= x y))))) (let ((_let_433 (forall ((u |u_(-> tptp.com tptp.option_com)|) (e tptp.option_com) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.option_com)|)) (not (forall ((ii tptp.com)) (= (ho_584 v ii) (ite (= i ii) e (ho_584 u ii)))))))))) (let ((_let_434 (forall ((x |u_(-> tptp.com tptp.option_com)|) (y |u_(-> tptp.com tptp.option_com)|)) (or (not (forall ((z tptp.com)) (= (ho_584 x z) (ho_584 y z)))) (= x y))))) (let ((_let_435 (forall ((u |u_(-> _u_(-> tptp.com tptp.option_com)_ tptp.com Bool)|) (e |u_(-> tptp.com Bool)|) (i |u_(-> tptp.com tptp.option_com)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.option_com)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com tptp.option_com)|)) (= (ho_586 v ii) (ite (= i ii) e (ho_586 u ii)))))))))) (let ((_let_436 (forall ((x |u_(-> _u_(-> tptp.com tptp.option_com)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com tptp.option_com)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com tptp.option_com)|)) (= (ho_586 x z) (ho_586 y z)))) (= x y))))) (let ((_let_437 (forall ((u |u_(-> tptp.hoare_1708887482_state tptp.option_pname)|) (e tptp.option_pname) (i tptp.hoare_1708887482_state)) (not (forall ((v |u_(-> tptp.hoare_1708887482_state tptp.option_pname)|)) (not (forall ((ii tptp.hoare_1708887482_state)) (= (ho_588 v ii) (ite (= i ii) e (ho_588 u ii)))))))))) (let ((_let_438 (forall ((x |u_(-> tptp.hoare_1708887482_state tptp.option_pname)|) (y |u_(-> tptp.hoare_1708887482_state tptp.option_pname)|)) (or (not (forall ((z tptp.hoare_1708887482_state)) (= (ho_588 x z) (ho_588 y z)))) (= x y))))) (let ((_let_439 (forall ((u |u_(-> tptp.pname tptp.option_pname)|) (e tptp.option_pname) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.option_pname)|)) (not (forall ((ii tptp.pname)) (= (ho_592 v ii) (ite (= i ii) e (ho_592 u ii)))))))))) (let ((_let_440 (forall ((x |u_(-> tptp.pname tptp.option_pname)|) (y |u_(-> tptp.pname tptp.option_pname)|)) (or (not (forall ((z tptp.pname)) (= (ho_592 x z) (ho_592 y z)))) (= x y))))) (let ((_let_441 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|)) (= (ho_595 v ii) (ite (= i ii) e (ho_595 u ii)))))))))) (let ((_let_442 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|)) (= (ho_595 x z) (ho_595 y z)))) (= x y))))) (let ((_let_443 (forall ((u |u_(-> _u_(-> tptp.com Bool)_ tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i |u_(-> tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.com Bool)|)) (= (ho_600 v ii) (ite (= i ii) e (ho_600 u ii)))))))))) (let ((_let_444 (forall ((x |u_(-> _u_(-> tptp.com Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.com Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.com Bool)|)) (= (ho_600 x z) (ho_600 y z)))) (= x y))))) (let ((_let_445 (forall ((u |u_(-> _u_(-> Bool Bool)_ Bool)|) (e Bool) (i |u_(-> Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool)|)) (= (ho_743 v ii) (ite (= i ii) e (ho_743 u ii)))))))))) (let ((_let_446 (forall ((x |u_(-> _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool)|)) (= (ho_743 x z) (ho_743 y z)))) (= x y))))) (let ((_let_447 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_766 v ii) (ite (= i ii) e (ho_766 u ii)))))))))) (let ((_let_448 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_766 x z) (ho_766 y z)))) (= x y))))) (let ((_let_449 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option_pname)_ tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.option_pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option_pname)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option_pname)|)) (= (ho_602 v ii) (ite (= i ii) e (ho_602 u ii)))))))))) (let ((_let_450 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option_pname)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.option_pname)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option_pname)|)) (= (ho_602 x z) (ho_602 y z)))) (= x y))))) (let ((_let_451 (forall ((u |u_(-> tptp.pname tptp.option1624383643_state)|) (e tptp.option1624383643_state) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname tptp.option1624383643_state)|)) (not (forall ((ii tptp.pname)) (= (ho_603 v ii) (ite (= i ii) e (ho_603 u ii)))))))))) (let ((_let_452 (forall ((x |u_(-> tptp.pname tptp.option1624383643_state)|) (y |u_(-> tptp.pname tptp.option1624383643_state)|)) (or (not (forall ((z tptp.pname)) (= (ho_603 x z) (ho_603 y z)))) (= x y))))) (let ((_let_453 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option1624383643_state)_ tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i |u_(-> tptp.pname tptp.option1624383643_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option1624383643_state)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option1624383643_state)|)) (= (ho_605 v ii) (ite (= i ii) e (ho_605 u ii)))))))))) (let ((_let_454 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option1624383643_state)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.option1624383643_state)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option1624383643_state)|)) (= (ho_605 x z) (ho_605 y z)))) (= x y))))) (let ((_let_455 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_620 v ii) (ite (= i ii) e (ho_620 u ii)))))))))) (let ((_let_456 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_620 x z) (ho_620 y z)))) (= x y))))) (let ((_let_457 (forall ((u |u_(-> Bool Bool Bool)|) (e |u_(-> Bool Bool)|) (i Bool)) (not (forall ((v |u_(-> Bool Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_619 v ii) (ite (= i ii) e (ho_619 u ii)))))))))) (let ((_let_458 (forall ((x |u_(-> Bool Bool Bool)|) (y |u_(-> Bool Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_619 x z) (ho_619 y z)))) (= x y))))) (let ((_let_459 (forall ((u |u_(-> tptp.option_pname tptp.pname)|) (e tptp.pname) (i tptp.option_pname)) (not (forall ((v |u_(-> tptp.option_pname tptp.pname)|)) (not (forall ((ii tptp.option_pname)) (= (ho_622 v ii) (ite (= i ii) e (ho_622 u ii)))))))))) (let ((_let_460 (forall ((x |u_(-> tptp.option_pname tptp.pname)|) (y |u_(-> tptp.option_pname tptp.pname)|)) (or (not (forall ((z tptp.option_pname)) (= (ho_622 x z) (ho_622 y z)))) (= x y))))) (let ((_let_461 (forall ((u |u_(-> tptp.option1624383643_state tptp.hoare_1708887482_state)|) (e tptp.hoare_1708887482_state) (i tptp.option1624383643_state)) (not (forall ((v |u_(-> tptp.option1624383643_state tptp.hoare_1708887482_state)|)) (not (forall ((ii tptp.option1624383643_state)) (= (ho_624 v ii) (ite (= i ii) e (ho_624 u ii)))))))))) (let ((_let_462 (forall ((x |u_(-> tptp.option1624383643_state tptp.hoare_1708887482_state)|) (y |u_(-> tptp.option1624383643_state tptp.hoare_1708887482_state)|)) (or (not (forall ((z tptp.option1624383643_state)) (= (ho_624 x z) (ho_624 y z)))) (= x y))))) (let ((_let_463 (forall ((u |u_(-> tptp.option_pname tptp.pname Bool)|) (e |u_(-> tptp.pname Bool)|) (i tptp.option_pname)) (not (forall ((v |u_(-> tptp.option_pname tptp.pname Bool)|)) (not (forall ((ii tptp.option_pname)) (= (ho_631 v ii) (ite (= i ii) e (ho_631 u ii)))))))))) (let ((_let_464 (forall ((x |u_(-> tptp.option_pname tptp.pname Bool)|) (y |u_(-> tptp.option_pname tptp.pname Bool)|)) (or (not (forall ((z tptp.option_pname)) (= (ho_631 x z) (ho_631 y z)))) (= x y))))) (let ((_let_465 (forall ((u |u_(-> tptp.option_com tptp.com Bool)|) (e |u_(-> tptp.com Bool)|) (i tptp.option_com)) (not (forall ((v |u_(-> tptp.option_com tptp.com Bool)|)) (not (forall ((ii tptp.option_com)) (= (ho_633 v ii) (ite (= i ii) e (ho_633 u ii)))))))))) (let ((_let_466 (forall ((x |u_(-> tptp.option_com tptp.com Bool)|) (y |u_(-> tptp.option_com tptp.com Bool)|)) (or (not (forall ((z tptp.option_com)) (= (ho_633 x z) (ho_633 y z)))) (= x y))))) (let ((_let_467 (forall ((u |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (= (ho_639 v ii) (ite (= i ii) e (ho_639 u ii)))))))))) (let ((_let_468 (forall ((x |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (= (ho_639 x z) (ho_639 y z)))) (= x y))))) (let ((_let_469 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_641 v ii) (ite (= i ii) e (ho_641 u ii)))))))))) (let ((_let_470 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_641 x z) (ho_641 y z)))) (= x y))))) (let ((_let_471 (forall ((u |u_(-> tptp.com tptp.com tptp.com)|) (e |u_(-> tptp.com tptp.com)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com tptp.com tptp.com)|)) (not (forall ((ii tptp.com)) (= (ho_643 v ii) (ite (= i ii) e (ho_643 u ii)))))))))) (let ((_let_472 (forall ((x |u_(-> tptp.com tptp.com tptp.com)|) (y |u_(-> tptp.com tptp.com tptp.com)|)) (or (not (forall ((z tptp.com)) (= (ho_643 x z) (ho_643 y z)))) (= x y))))) (let ((_let_473 (forall ((u |u_(-> _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.com Bool)_ tptp.com)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.com Bool)_ tptp.com)|)) (= (ho_647 v ii) (ite (= i ii) e (ho_647 u ii)))))))))) (let ((_let_474 (forall ((x |u_(-> _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.com Bool)_ tptp.com)|)) (= (ho_647 x z) (ho_647 y z)))) (= x y))))) (let ((_let_475 (forall ((u |u_(-> _u_(-> tptp.com tptp.com tptp.com)_ _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|) (i |u_(-> tptp.com tptp.com tptp.com)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.com tptp.com)_ _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|)) (not (forall ((ii |u_(-> tptp.com tptp.com tptp.com)|)) (= (ho_646 v ii) (ite (= i ii) e (ho_646 u ii)))))))))) (let ((_let_476 (forall ((x |u_(-> _u_(-> tptp.com tptp.com tptp.com)_ _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|) (y |u_(-> _u_(-> tptp.com tptp.com tptp.com)_ _u_(-> _u_(-> tptp.com Bool)_ tptp.com)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.com tptp.com tptp.com)|)) (= (ho_646 x z) (ho_646 y z)))) (= x y))))) (let ((_let_477 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_649 v ii) (ite (= i ii) e (ho_649 u ii)))))))))) (let ((_let_478 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|)) (= (ho_649 x z) (ho_649 y z)))) (= x y))))) (let ((_let_479 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_658 v ii) (ite (= i ii) e (ho_658 u ii)))))))))) (let ((_let_480 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_658 x z) (ho_658 y z)))) (= x y))))) (let ((_let_481 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_660 v ii) (ite (= i ii) e (ho_660 u ii)))))))))) (let ((_let_482 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_660 x z) (ho_660 y z)))) (= x y))))) (let ((_let_483 (forall ((u |u_(-> tptp.option_pname Bool)|) (e Bool) (i tptp.option_pname)) (not (forall ((v |u_(-> tptp.option_pname Bool)|)) (not (forall ((ii tptp.option_pname)) (= (ho_677 v ii) (ite (= i ii) e (ho_677 u ii)))))))))) (let ((_let_484 (forall ((x |u_(-> tptp.option_pname Bool)|) (y |u_(-> tptp.option_pname Bool)|)) (or (not (forall ((z tptp.option_pname)) (= (ho_677 x z) (ho_677 y z)))) (= x y))))) (let ((_let_485 (forall ((u |u_(-> tptp.option_com Bool)|) (e Bool) (i tptp.option_com)) (not (forall ((v |u_(-> tptp.option_com Bool)|)) (not (forall ((ii tptp.option_com)) (= (ho_681 v ii) (ite (= i ii) e (ho_681 u ii)))))))))) (let ((_let_486 (forall ((x |u_(-> tptp.option_com Bool)|) (y |u_(-> tptp.option_com Bool)|)) (or (not (forall ((z tptp.option_com)) (= (ho_681 x z) (ho_681 y z)))) (= x y))))) (let ((_let_487 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|) (i |u_(-> tptp.pname tptp.option_com)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option_com)|)) (= (ho_685 v ii) (ite (= i ii) e (ho_685 u ii)))))))))) (let ((_let_488 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|) (y |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option_com)|)) (= (ho_685 x z) (ho_685 y z)))) (= x y))))) (let ((_let_489 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|) (e |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|) (i |u_(-> tptp.pname tptp.option_com)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option_com)|)) (= (ho_684 v ii) (ite (= i ii) e (ho_684 u ii)))))))))) (let ((_let_490 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|) (y |u_(-> _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname tptp.option_com)_ _u_(-> tptp.pname Bool)_ tptp.pname tptp.option_com)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option_com)|)) (= (ho_684 x z) (ho_684 y z)))) (= x y))))) (let ((_let_491 (forall ((u |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com)|) (e |u_(-> _u_(-> tptp.com Bool)_ tptp.com)|) (i tptp.com)) (not (forall ((v |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com)|)) (not (forall ((ii tptp.com)) (= (ho_688 v ii) (ite (= i ii) e (ho_688 u ii)))))))))) (let ((_let_492 (forall ((x |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com)|) (y |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com)|)) (or (not (forall ((z tptp.com)) (= (ho_688 x z) (ho_688 y z)))) (= x y))))) (let ((_let_493 (forall ((u |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|) (i tptp.pname)) (not (forall ((v |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|)) (not (forall ((ii tptp.pname)) (= (ho_690 v ii) (ite (= i ii) e (ho_690 u ii)))))))))) (let ((_let_494 (forall ((x |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|) (y |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|)) (or (not (forall ((z tptp.pname)) (= (ho_690 x z) (ho_690 y z)))) (= x y))))) (let ((_let_495 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_698 v ii) (ite (= i ii) e (ho_698 u ii)))))))))) (let ((_let_496 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_698 x z) (ho_698 y z)))) (= x y))))) (let ((_let_497 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|) (e |u_(-> tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_700 v ii) (ite (= i ii) e (ho_700 u ii)))))))))) (let ((_let_498 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ tptp.pname tptp.hoare_1708887482_state tptp.pname tptp.hoare_1708887482_state)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_700 x z) (ho_700 y z)))) (= x y))))) (let ((_let_499 (forall ((u |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ Bool)|) (e Bool) (i |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_705 v ii) (ite (= i ii) e (ho_705 u ii)))))))))) (let ((_let_500 (forall ((x |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_705 x z) (ho_705 y z)))) (= x y))))) (let ((_let_501 (forall ((u |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_709 v ii) (ite (= i ii) e (ho_709 u ii)))))))))) (let ((_let_502 (forall ((x |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.hoare_1708887482_state)|)) (= (ho_709 x z) (ho_709 y z)))) (= x y))))) (let ((_let_503 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com tptp.pname tptp.option_com)|) (e |u_(-> tptp.pname tptp.option_com tptp.pname tptp.option_com)|) (i |u_(-> tptp.pname tptp.option_com)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com tptp.pname tptp.option_com)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option_com)|)) (= (ho_711 v ii) (ite (= i ii) e (ho_711 u ii)))))))))) (let ((_let_504 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com tptp.pname tptp.option_com)|) (y |u_(-> _u_(-> tptp.pname tptp.option_com)_ tptp.pname tptp.option_com tptp.pname tptp.option_com)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option_com)|)) (= (ho_711 x z) (ho_711 y z)))) (= x y))))) (let ((_let_505 (forall ((u |u_(-> _u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)_ _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|) (i |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)_ _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (not (forall ((ii |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (= (ho_715 v ii) (ite (= i ii) e (ho_715 u ii)))))))))) (let ((_let_506 (forall ((x |u_(-> _u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)_ _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|) (y |u_(-> _u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)_ _u_(-> tptp.com Bool)_ _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (or (not (forall ((z |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com Bool)|)) (= (ho_715 x z) (ho_715 y z)))) (= x y))))) (let ((_let_507 (forall ((u |u_(-> _u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (i |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_717 v ii) (ite (= i ii) e (ho_717 u ii)))))))))) (let ((_let_508 (forall ((x |u_(-> _u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname Bool)|)) (= (ho_717 x z) (ho_717 y z)))) (= x y))))) (let ((_let_509 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_719 v ii) (ite (= i ii) e (ho_719 u ii)))))))))) (let ((_let_510 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_719 x z) (ho_719 y z)))) (= x y))))) (let ((_let_511 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_723 v ii) (ite (= i ii) e (ho_723 u ii)))))))))) (let ((_let_512 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_723 x z) (ho_723 y z)))) (= x y))))) (let ((_let_513 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_727 v ii) (ite (= i ii) e (ho_727 u ii)))))))))) (let ((_let_514 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_727 x z) (ho_727 y z)))) (= x y))))) (let ((_let_515 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_725 v ii) (ite (= i ii) e (ho_725 u ii)))))))))) (let ((_let_516 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_725 x z) (ho_725 y z)))) (= x y))))) (let ((_let_517 (forall ((u |u_(-> _u_(-> tptp.pname tptp.option_pname)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> tptp.pname tptp.option_pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.option_pname)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.option_pname)|)) (= (ho_729 v ii) (ite (= i ii) e (ho_729 u ii)))))))))) (let ((_let_518 (forall ((x |u_(-> _u_(-> tptp.pname tptp.option_pname)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.option_pname)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.option_pname)|)) (= (ho_729 x z) (ho_729 y z)))) (= x y))))) (let ((_let_519 (forall ((u |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (i |u_(-> tptp.pname Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (not (forall ((ii |u_(-> tptp.pname Bool)|)) (= (ho_736 v ii) (ite (= i ii) e (ho_736 u ii)))))))))) (let ((_let_520 (forall ((x |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|) (y |u_(-> _u_(-> tptp.pname Bool)_ _u_(-> _u_(-> tptp.pname Bool)_ Bool)_ tptp.pname Bool)|)) (or (not (forall ((z |u_(-> tptp.pname Bool)|)) (= (ho_736 x z) (ho_736 y z)))) (= x y))))) (let ((_let_521 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|)) (= (ho_731 v ii) (ite (= i ii) e (ho_731 u ii)))))))))) (let ((_let_522 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.option1624383643_state)|)) (= (ho_731 x z) (ho_731 y z)))) (= x y))))) (let ((_let_523 (forall ((u |u_(-> _u_(-> tptp.com tptp.option_com)_ _u_(-> tptp.com Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.com Bool)_ Bool)|) (i |u_(-> tptp.com tptp.option_com)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.option_com)_ _u_(-> tptp.com Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.com tptp.option_com)|)) (= (ho_733 v ii) (ite (= i ii) e (ho_733 u ii)))))))))) (let ((_let_524 (forall ((x |u_(-> _u_(-> tptp.com tptp.option_com)_ _u_(-> tptp.com Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.com tptp.option_com)_ _u_(-> tptp.com Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.com tptp.option_com)|)) (= (ho_733 x z) (ho_733 y z)))) (= x y))))) (let ((_let_525 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_738 v ii) (ite (= i ii) e (ho_738 u ii)))))))))) (let ((_let_526 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ tptp.hoare_1708887482_state Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_738 x z) (ho_738 y z)))) (= x y))))) (let ((_let_527 (forall ((u |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> Bool Bool)_ Bool)|) (e |u_(-> Bool _u_(-> Bool Bool)_ Bool)|) (i |u_(-> Bool Bool Bool)|)) (not (forall ((v |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> Bool Bool)_ Bool)|)) (not (forall ((ii |u_(-> Bool Bool Bool)|)) (= (ho_741 v ii) (ite (= i ii) e (ho_741 u ii)))))))))) (let ((_let_528 (forall ((x |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> Bool Bool)_ Bool)|) (y |u_(-> _u_(-> Bool Bool Bool)_ Bool _u_(-> Bool Bool)_ Bool)|)) (or (not (forall ((z |u_(-> Bool Bool Bool)|)) (= (ho_741 x z) (ho_741 y z)))) (= x y))))) (let ((_let_529 (forall ((u |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (e |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (i |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_752 v ii) (ite (= i ii) e (ho_752 u ii)))))))))) (let ((_let_530 (forall ((x |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)_ _u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)_ Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state Bool)|)) (= (ho_752 x z) (ho_752 y z)))) (= x y))))) (let ((_let_531 (forall ((u |u_(-> _u_(-> tptp.pname tptp.pname)_ _u_(-> tptp.pname Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (i |u_(-> tptp.pname tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.pname)_ _u_(-> tptp.pname Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.pname tptp.pname)|)) (= (ho_754 v ii) (ite (= i ii) e (ho_754 u ii)))))))))) (let ((_let_532 (forall ((x |u_(-> _u_(-> tptp.pname tptp.pname)_ _u_(-> tptp.pname Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.pname tptp.pname)_ _u_(-> tptp.pname Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.pname)|)) (= (ho_754 x z) (ho_754 y z)))) (= x y))))) (let ((_let_533 (forall ((u |u_(-> _u_(-> tptp.com tptp.com tptp.com)_ tptp.com _u_(-> tptp.com Bool)_ tptp.com)|) (e |u_(-> tptp.com _u_(-> tptp.com Bool)_ tptp.com)|) (i |u_(-> tptp.com tptp.com tptp.com)|)) (not (forall ((v |u_(-> _u_(-> tptp.com tptp.com tptp.com)_ tptp.com _u_(-> tptp.com Bool)_ tptp.com)|)) (not (forall ((ii |u_(-> tptp.com tptp.com tptp.com)|)) (= (ho_758 v ii) (ite (= i ii) e (ho_758 u ii)))))))))) (let ((_let_534 (forall ((x |u_(-> _u_(-> tptp.com tptp.com tptp.com)_ tptp.com _u_(-> tptp.com Bool)_ tptp.com)|) (y |u_(-> _u_(-> tptp.com tptp.com tptp.com)_ tptp.com _u_(-> tptp.com Bool)_ tptp.com)|)) (or (not (forall ((z |u_(-> tptp.com tptp.com tptp.com)|)) (= (ho_758 x z) (ho_758 y z)))) (= x y))))) (let ((_let_535 (forall ((u |u_(-> _u_(-> tptp.pname tptp.pname tptp.pname)_ tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|) (e |u_(-> tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|) (i |u_(-> tptp.pname tptp.pname tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.pname tptp.pname tptp.pname)_ tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|)) (not (forall ((ii |u_(-> tptp.pname tptp.pname tptp.pname)|)) (= (ho_760 v ii) (ite (= i ii) e (ho_760 u ii)))))))))) (let ((_let_536 (forall ((x |u_(-> _u_(-> tptp.pname tptp.pname tptp.pname)_ tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|) (y |u_(-> _u_(-> tptp.pname tptp.pname tptp.pname)_ tptp.pname _u_(-> tptp.pname Bool)_ tptp.pname)|)) (or (not (forall ((z |u_(-> tptp.pname tptp.pname tptp.pname)|)) (= (ho_760 x z) (ho_760 y z)))) (= x y))))) (let ((_let_537 (forall ((u |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (i |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (not (forall ((v |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (= (ho_764 v ii) (ite (= i ii) e (ho_764 u ii)))))))))) (let ((_let_538 (forall ((x |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.hoare_1708887482_state tptp.pname)_ _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.hoare_1708887482_state tptp.pname)|)) (= (ho_764 x z) (ho_764 y z)))) (= x y))))) (let ((_let_539 (forall ((BOUND_VARIABLE_36060 tptp.pname)) (= (ho_185 k_184 BOUND_VARIABLE_36060) (ho_189 k_188 (ho_187 k_186 BOUND_VARIABLE_36060)))))) (let ((_let_540 (forall ((BOUND_VARIABLE_36053 tptp.pname)) (= (ho_185 k_190 BOUND_VARIABLE_36053) (ho_189 k_188 (ho_187 k_186 BOUND_VARIABLE_36053)))))) (let ((_let_541 (forall ((BOUND_VARIABLE_36045 tptp.pname)) (= (ho_185 k_191 BOUND_VARIABLE_36045) (ho_189 k_188 (ho_195 k_194 (ho_193 k_192 BOUND_VARIABLE_36045))))))) (let ((_let_542 (forall ((BOUND_VARIABLE_36040 tptp.pname)) (= tptp.none_com (ho_193 k_196 BOUND_VARIABLE_36040))))) (let ((_let_543 (forall ((BOUND_VARIABLE_36568 |u_(-> tptp.pname tptp.option_com)|) (BOUND_VARIABLE_36032 tptp.pname)) (= (ho_199 (ho_198 k_197 BOUND_VARIABLE_36568) BOUND_VARIABLE_36032) (not (= tptp.none_com (ho_193 BOUND_VARIABLE_36568 BOUND_VARIABLE_36032))))))) (let ((_let_544 (forall ((BOUND_VARIABLE_36594 |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (BOUND_VARIABLE_36017 tptp.pname) (BOUND_VARIABLE_36018 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_205 k_204 (ho_185 BOUND_VARIABLE_36594 BOUND_VARIABLE_36017)) (ho_203 k_202 k_200)) BOUND_VARIABLE_36018) (ho_201 (ho_208 (ho_207 k_206 BOUND_VARIABLE_36594) BOUND_VARIABLE_36017) BOUND_VARIABLE_36018))))) (let ((_let_545 (forall ((BOUND_VARIABLE_36632 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_36640 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_36621 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_216 k_215 BOUND_VARIABLE_36640) (ho_212 (ho_214 k_213 BOUND_VARIABLE_36632) (ho_212 k_211 k_209))) BOUND_VARIABLE_36621) (ho_210 (ho_212 (ho_214 k_217 BOUND_VARIABLE_36632) BOUND_VARIABLE_36640) BOUND_VARIABLE_36621))))) (let ((_let_546 (forall ((BOUND_VARIABLE_36670 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_36678 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_36659 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_225 k_224 BOUND_VARIABLE_36678) (ho_221 (ho_223 k_222 BOUND_VARIABLE_36670) (ho_221 k_220 k_218))) BOUND_VARIABLE_36659) (ho_219 (ho_221 (ho_223 k_226 BOUND_VARIABLE_36670) BOUND_VARIABLE_36678) BOUND_VARIABLE_36659))))) (let ((_let_547 (forall ((BOUND_VARIABLE_35965 tptp.hoare_1708887482_state) (BOUND_VARIABLE_36699 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35967 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_228 k_227 BOUND_VARIABLE_36699) (ho_203 (ho_205 k_204 BOUND_VARIABLE_35965) (ho_203 k_202 k_200))) BOUND_VARIABLE_35967) (ho_201 (ho_203 (ho_205 k_229 BOUND_VARIABLE_35965) BOUND_VARIABLE_36699) BOUND_VARIABLE_35967))))) (let ((_let_548 (forall ((BOUND_VARIABLE_35948 tptp.pname) (BOUND_VARIABLE_36731 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35950 tptp.pname)) (= (ho_199 (ho_232 (ho_236 k_235 BOUND_VARIABLE_36731) (ho_232 (ho_234 k_233 BOUND_VARIABLE_35948) (ho_232 k_231 k_230))) BOUND_VARIABLE_35950) (ho_199 (ho_232 (ho_234 k_237 BOUND_VARIABLE_35948) BOUND_VARIABLE_36731) BOUND_VARIABLE_35950))))) (let ((_let_549 (forall ((BOUND_VARIABLE_35931 tptp.com) (BOUND_VARIABLE_36766 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35933 tptp.com)) (= (ho_239 (ho_241 (ho_245 k_244 BOUND_VARIABLE_36766) (ho_241 (ho_243 k_242 BOUND_VARIABLE_35931) (ho_241 k_240 k_238))) BOUND_VARIABLE_35933) (ho_239 (ho_241 (ho_243 k_246 BOUND_VARIABLE_35931) BOUND_VARIABLE_36766) BOUND_VARIABLE_35933))))) (let ((_let_550 (forall ((BOUND_VARIABLE_35926 tptp.pname)) (= tptp.none_com (ho_193 k_247 BOUND_VARIABLE_35926))))) (let ((_let_551 (forall ((BOUND_VARIABLE_35909 tptp.hoare_1708887482_state) (BOUND_VARIABLE_36792 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35911 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_228 k_227 BOUND_VARIABLE_36792) (ho_203 (ho_205 k_204 BOUND_VARIABLE_35909) (ho_203 k_202 k_200))) BOUND_VARIABLE_35911) (ho_201 (ho_203 (ho_205 k_248 BOUND_VARIABLE_35909) BOUND_VARIABLE_36792) BOUND_VARIABLE_35911))))) (let ((_let_552 (forall ((BOUND_VARIABLE_35892 tptp.pname) (BOUND_VARIABLE_36808 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35894 tptp.pname)) (= (ho_199 (ho_232 (ho_236 k_235 BOUND_VARIABLE_36808) (ho_232 (ho_234 k_233 BOUND_VARIABLE_35892) (ho_232 k_231 k_230))) BOUND_VARIABLE_35894) (ho_199 (ho_232 (ho_234 k_249 BOUND_VARIABLE_35892) BOUND_VARIABLE_36808) BOUND_VARIABLE_35894))))) (let ((_let_553 (forall ((BOUND_VARIABLE_35875 tptp.com) (BOUND_VARIABLE_36824 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35877 tptp.com)) (= (ho_239 (ho_241 (ho_245 k_244 BOUND_VARIABLE_36824) (ho_241 (ho_243 k_242 BOUND_VARIABLE_35875) (ho_241 k_240 k_238))) BOUND_VARIABLE_35877) (ho_239 (ho_241 (ho_243 k_250 BOUND_VARIABLE_35875) BOUND_VARIABLE_36824) BOUND_VARIABLE_35877))))) (let ((_let_554 (forall ((BOUND_VARIABLE_36840 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35858 tptp.hoare_1708887482_state) (BOUND_VARIABLE_35859 tptp.hoare_1708887482_state)) (= (ho_210 (ho_252 k_251 BOUND_VARIABLE_35859) (ho_203 (ho_228 k_227 BOUND_VARIABLE_36840) (ho_203 (ho_205 k_204 BOUND_VARIABLE_35858) (ho_203 k_202 k_200)))) (ho_201 (ho_255 (ho_254 k_253 BOUND_VARIABLE_36840) BOUND_VARIABLE_35858) BOUND_VARIABLE_35859))))) (let ((_let_555 (forall ((BOUND_VARIABLE_36869 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35840 tptp.pname) (BOUND_VARIABLE_35841 tptp.pname)) (= (ho_219 (ho_257 k_256 BOUND_VARIABLE_35841) (ho_232 (ho_236 k_235 BOUND_VARIABLE_36869) (ho_232 (ho_234 k_233 BOUND_VARIABLE_35840) (ho_232 k_231 k_230)))) (ho_199 (ho_260 (ho_259 k_258 BOUND_VARIABLE_36869) BOUND_VARIABLE_35840) BOUND_VARIABLE_35841))))) (let ((_let_556 (forall ((BOUND_VARIABLE_36898 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35822 tptp.com) (BOUND_VARIABLE_35823 tptp.com)) (= (ho_263 (ho_262 k_261 BOUND_VARIABLE_35823) (ho_241 (ho_245 k_244 BOUND_VARIABLE_36898) (ho_241 (ho_243 k_242 BOUND_VARIABLE_35822) (ho_241 k_240 k_238)))) (ho_239 (ho_266 (ho_265 k_264 BOUND_VARIABLE_36898) BOUND_VARIABLE_35822) BOUND_VARIABLE_35823))))) (let ((_let_557 (forall ((BOUND_VARIABLE_36933 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_36932 |u_(-> tptp.pname tptp.option_com)|) (BOUND_VARIABLE_35811 tptp.pname)) (= (ho_199 (ho_198 (ho_268 k_267 BOUND_VARIABLE_36933) BOUND_VARIABLE_36932) BOUND_VARIABLE_35811) (ho_219 (ho_257 k_256 BOUND_VARIABLE_35811) (ho_232 (ho_236 k_235 BOUND_VARIABLE_36933) (ho_198 k_269 BOUND_VARIABLE_36932))))))) (let ((_let_558 (forall ((BOUND_VARIABLE_36955 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_36954 |u_(-> tptp.pname tptp.option_com)|) (BOUND_VARIABLE_35799 tptp.pname)) (= (ho_199 (ho_198 (ho_268 k_270 BOUND_VARIABLE_36955) BOUND_VARIABLE_36954) BOUND_VARIABLE_35799) (ho_219 (ho_257 k_256 BOUND_VARIABLE_35799) (ho_232 (ho_236 k_271 BOUND_VARIABLE_36955) (ho_198 k_269 BOUND_VARIABLE_36954))))))) (let ((_let_559 (forall ((BOUND_VARIABLE_36975 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_36974 |u_(-> tptp.pname tptp.option_com)|) (BOUND_VARIABLE_36973 |u_(-> tptp.pname tptp.option_com)|) (BOUND_VARIABLE_35786 tptp.pname)) (= (ho_193 (ho_275 (ho_274 (ho_273 k_272 BOUND_VARIABLE_36975) BOUND_VARIABLE_36974) BOUND_VARIABLE_36973) BOUND_VARIABLE_35786) (ho_279 (ho_278 (ho_277 k_276 (ho_199 BOUND_VARIABLE_36975 BOUND_VARIABLE_35786)) (ho_193 BOUND_VARIABLE_36974 BOUND_VARIABLE_35786)) (ho_193 BOUND_VARIABLE_36973 BOUND_VARIABLE_35786)))))) (let ((_let_560 (forall ((BOUND_VARIABLE_37013 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35776 tptp.pname)) (= (ho_199 (ho_232 k_280 BOUND_VARIABLE_37013) BOUND_VARIABLE_35776) (not (ho_199 BOUND_VARIABLE_37013 BOUND_VARIABLE_35776)))))) (let ((_let_561 (forall ((BOUND_VARIABLE_37028 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_37027 |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (BOUND_VARIABLE_37026 |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (BOUND_VARIABLE_35764 tptp.pname)) (= (ho_185 (ho_284 (ho_283 (ho_282 k_281 BOUND_VARIABLE_37028) BOUND_VARIABLE_37027) BOUND_VARIABLE_37026) BOUND_VARIABLE_35764) (ho_288 (ho_287 (ho_286 k_285 (ho_199 BOUND_VARIABLE_37028 BOUND_VARIABLE_35764)) (ho_185 BOUND_VARIABLE_37027 BOUND_VARIABLE_35764)) (ho_185 BOUND_VARIABLE_37026 BOUND_VARIABLE_35764)))))) (let ((_let_562 (forall ((BOUND_VARIABLE_37066 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35754 tptp.pname)) (= (ho_199 (ho_232 k_289 BOUND_VARIABLE_37066) BOUND_VARIABLE_35754) (not (ho_199 BOUND_VARIABLE_37066 BOUND_VARIABLE_35754)))))) (let ((_let_563 (forall ((BOUND_VARIABLE_37080 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_37079 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_37078 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_216 k_290 BOUND_VARIABLE_37080) BOUND_VARIABLE_37079) BOUND_VARIABLE_37078) (and (ho_210 BOUND_VARIABLE_37080 BOUND_VARIABLE_37078) (ho_210 BOUND_VARIABLE_37079 BOUND_VARIABLE_37078)))))) (let ((_let_564 (forall ((BOUND_VARIABLE_37096 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_37095 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_37094 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_225 k_291 BOUND_VARIABLE_37096) BOUND_VARIABLE_37095) BOUND_VARIABLE_37094) (and (ho_219 BOUND_VARIABLE_37096 BOUND_VARIABLE_37094) (ho_219 BOUND_VARIABLE_37095 BOUND_VARIABLE_37094)))))) (let ((_let_565 (forall ((BOUND_VARIABLE_37111 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_37110 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35725 tptp.pname)) (= (ho_199 (ho_232 (ho_236 k_292 BOUND_VARIABLE_37111) BOUND_VARIABLE_37110) BOUND_VARIABLE_35725) (and (ho_199 BOUND_VARIABLE_37111 BOUND_VARIABLE_35725) (ho_199 BOUND_VARIABLE_37110 BOUND_VARIABLE_35725)))))) (let ((_let_566 (forall ((BOUND_VARIABLE_37126 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_37125 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35715 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_228 k_293 BOUND_VARIABLE_37126) BOUND_VARIABLE_37125) BOUND_VARIABLE_35715) (and (ho_201 BOUND_VARIABLE_37126 BOUND_VARIABLE_35715) (ho_201 BOUND_VARIABLE_37125 BOUND_VARIABLE_35715)))))) (let ((_let_567 (forall ((BOUND_VARIABLE_37142 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_37141 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_37140 |u_(-> tptp.hoare_1708887482_state Bool)|)) (let ((_let_1 (ho_296 k_295 BOUND_VARIABLE_37140))) (= (ho_210 (ho_212 (ho_216 k_294 BOUND_VARIABLE_37142) BOUND_VARIABLE_37141) BOUND_VARIABLE_37140) (and (ho_297 _let_1 BOUND_VARIABLE_37142) (not (ho_297 _let_1 BOUND_VARIABLE_37141)))))))) (let ((_let_568 (forall ((BOUND_VARIABLE_37169 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_37168 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_37167 |u_(-> tptp.pname Bool)|)) (let ((_let_1 (ho_300 k_299 BOUND_VARIABLE_37167))) (= (ho_219 (ho_221 (ho_225 k_298 BOUND_VARIABLE_37169) BOUND_VARIABLE_37168) BOUND_VARIABLE_37167) (and (ho_301 _let_1 BOUND_VARIABLE_37169) (not (ho_301 _let_1 BOUND_VARIABLE_37168)))))))) (let ((_let_569 (forall ((BOUND_VARIABLE_37195 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_37194 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35679 tptp.hoare_1708887482_state)) (let ((_let_1 (ho_252 k_251 BOUND_VARIABLE_35679))) (= (ho_201 (ho_203 (ho_228 k_302 BOUND_VARIABLE_37195) BOUND_VARIABLE_37194) BOUND_VARIABLE_35679) (and (ho_210 _let_1 BOUND_VARIABLE_37195) (not (ho_210 _let_1 BOUND_VARIABLE_37194)))))))) (let ((_let_570 (forall ((BOUND_VARIABLE_37212 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_37211 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35667 tptp.pname)) (let ((_let_1 (ho_257 k_256 BOUND_VARIABLE_35667))) (= (ho_199 (ho_232 (ho_236 k_303 BOUND_VARIABLE_37212) BOUND_VARIABLE_37211) BOUND_VARIABLE_35667) (and (ho_219 _let_1 BOUND_VARIABLE_37212) (not (ho_219 _let_1 BOUND_VARIABLE_37211)))))))) (let ((_let_571 (forall ((BOUND_VARIABLE_37229 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_37228 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35655 tptp.com)) (let ((_let_1 (ho_262 k_261 BOUND_VARIABLE_35655))) (= (ho_239 (ho_241 (ho_245 k_304 BOUND_VARIABLE_37229) BOUND_VARIABLE_37228) BOUND_VARIABLE_35655) (and (ho_263 _let_1 BOUND_VARIABLE_37229) (not (ho_263 _let_1 BOUND_VARIABLE_37228)))))))) (let ((_let_572 (forall ((BOUND_VARIABLE_37247 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_37246 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_37245 |u_(-> tptp.hoare_1708887482_state Bool)|)) (let ((_let_1 (ho_296 k_295 BOUND_VARIABLE_37245))) (= (ho_210 (ho_212 (ho_216 k_305 BOUND_VARIABLE_37247) BOUND_VARIABLE_37246) BOUND_VARIABLE_37245) (and (ho_297 _let_1 BOUND_VARIABLE_37247) (ho_297 _let_1 BOUND_VARIABLE_37246))))))) (let ((_let_573 (forall ((BOUND_VARIABLE_37264 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_37263 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_37262 |u_(-> tptp.pname Bool)|)) (let ((_let_1 (ho_300 k_299 BOUND_VARIABLE_37262))) (= (ho_219 (ho_221 (ho_225 k_306 BOUND_VARIABLE_37264) BOUND_VARIABLE_37263) BOUND_VARIABLE_37262) (and (ho_301 _let_1 BOUND_VARIABLE_37264) (ho_301 _let_1 BOUND_VARIABLE_37263))))))) (let ((_let_574 (forall ((BOUND_VARIABLE_37280 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_37279 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35622 tptp.hoare_1708887482_state)) (let ((_let_1 (ho_252 k_251 BOUND_VARIABLE_35622))) (= (ho_201 (ho_203 (ho_228 k_307 BOUND_VARIABLE_37280) BOUND_VARIABLE_37279) BOUND_VARIABLE_35622) (and (ho_210 _let_1 BOUND_VARIABLE_37280) (ho_210 _let_1 BOUND_VARIABLE_37279))))))) (let ((_let_575 (forall ((BOUND_VARIABLE_37296 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_37295 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35611 tptp.pname)) (let ((_let_1 (ho_257 k_256 BOUND_VARIABLE_35611))) (= (ho_199 (ho_232 (ho_236 k_308 BOUND_VARIABLE_37296) BOUND_VARIABLE_37295) BOUND_VARIABLE_35611) (and (ho_219 _let_1 BOUND_VARIABLE_37296) (ho_219 _let_1 BOUND_VARIABLE_37295))))))) (let ((_let_576 (forall ((BOUND_VARIABLE_37312 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_37311 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35600 tptp.com)) (let ((_let_1 (ho_262 k_261 BOUND_VARIABLE_35600))) (= (ho_239 (ho_241 (ho_245 k_309 BOUND_VARIABLE_37312) BOUND_VARIABLE_37311) BOUND_VARIABLE_35600) (and (ho_263 _let_1 BOUND_VARIABLE_37312) (ho_263 _let_1 BOUND_VARIABLE_37311))))))) (let ((_let_577 (forall ((BOUND_VARIABLE_37326 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35591 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 k_310 BOUND_VARIABLE_37326) BOUND_VARIABLE_35591) (ho_210 (ho_252 k_251 BOUND_VARIABLE_35591) BOUND_VARIABLE_37326))))) (let ((_let_578 (forall ((BOUND_VARIABLE_37337 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35583 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 k_311 BOUND_VARIABLE_37337) BOUND_VARIABLE_35583) (ho_210 (ho_252 k_251 BOUND_VARIABLE_35583) BOUND_VARIABLE_37337))))) (let ((_let_579 (forall ((BOUND_VARIABLE_37348 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35575 tptp.pname)) (= (ho_199 (ho_232 k_312 BOUND_VARIABLE_37348) BOUND_VARIABLE_35575) (ho_219 (ho_257 k_256 BOUND_VARIABLE_35575) BOUND_VARIABLE_37348))))) (let ((_let_580 (forall ((BOUND_VARIABLE_37359 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35567 tptp.pname)) (= (ho_199 (ho_232 k_313 BOUND_VARIABLE_37359) BOUND_VARIABLE_35567) (ho_219 (ho_257 k_256 BOUND_VARIABLE_35567) BOUND_VARIABLE_37359))))) (let ((_let_581 (forall ((BOUND_VARIABLE_37370 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35559 tptp.com)) (= (ho_239 (ho_241 k_314 BOUND_VARIABLE_37370) BOUND_VARIABLE_35559) (ho_263 (ho_262 k_261 BOUND_VARIABLE_35559) BOUND_VARIABLE_37370))))) (let ((_let_582 (forall ((BOUND_VARIABLE_37381 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35551 tptp.com)) (= (ho_239 (ho_241 k_315 BOUND_VARIABLE_37381) BOUND_VARIABLE_35551) (ho_263 (ho_262 k_261 BOUND_VARIABLE_35551) BOUND_VARIABLE_37381))))) (let ((_let_583 (forall ((BOUND_VARIABLE_35536 tptp.com) (BOUND_VARIABLE_35537 tptp.state) (BOUND_VARIABLE_35538 tptp.state)) (= (forall ((S1 tptp.state)) (or (not (ho_319 (ho_318 (ho_317 k_316 BOUND_VARIABLE_35536) BOUND_VARIABLE_35538) S1)) (= S1 BOUND_VARIABLE_35537))) (ho_319 (ho_318 (ho_317 k_320 BOUND_VARIABLE_35536) BOUND_VARIABLE_35537) BOUND_VARIABLE_35538))))) (let ((_let_584 (forall ((BOUND_VARIABLE_35522 tptp.com) (BOUND_VARIABLE_35523 tptp.state) (BOUND_VARIABLE_35524 tptp.state)) (= (forall ((S1 tptp.state)) (or (not (ho_319 (ho_318 (ho_317 k_316 BOUND_VARIABLE_35522) BOUND_VARIABLE_35524) S1)) (= S1 BOUND_VARIABLE_35523))) (ho_319 (ho_318 (ho_317 k_321 BOUND_VARIABLE_35522) BOUND_VARIABLE_35523) BOUND_VARIABLE_35524))))) (let ((_let_585 (forall ((BOUND_VARIABLE_37432 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35510 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 k_322 BOUND_VARIABLE_37432) BOUND_VARIABLE_35510) (= (ho_203 (ho_205 k_204 BOUND_VARIABLE_35510) (ho_203 k_202 k_200)) BOUND_VARIABLE_37432))))) (let ((_let_586 (forall ((BOUND_VARIABLE_37444 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35497 tptp.pname)) (= (ho_199 (ho_232 k_323 BOUND_VARIABLE_37444) BOUND_VARIABLE_35497) (= (ho_232 (ho_234 k_233 BOUND_VARIABLE_35497) (ho_232 k_231 k_230)) BOUND_VARIABLE_37444))))) (let ((_let_587 (forall ((BOUND_VARIABLE_37456 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35484 tptp.com)) (= (ho_239 (ho_241 k_324 BOUND_VARIABLE_37456) BOUND_VARIABLE_35484) (= (ho_241 (ho_243 k_242 BOUND_VARIABLE_35484) (ho_241 k_240 k_238)) BOUND_VARIABLE_37456))))) (let ((_let_588 (forall ((BOUND_VARIABLE_37471 |u_(-> tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37470 |u_(-> tptp.state Bool)|) (BOUND_VARIABLE_35472 tptp.state) (BOUND_VARIABLE_35473 tptp.state)) (= (ho_319 (ho_318 (ho_327 (ho_326 k_325 BOUND_VARIABLE_37471) BOUND_VARIABLE_37470) BOUND_VARIABLE_35472) BOUND_VARIABLE_35473) (and (ho_319 (ho_318 BOUND_VARIABLE_37471 BOUND_VARIABLE_35472) BOUND_VARIABLE_35473) (not (ho_319 BOUND_VARIABLE_37470 BOUND_VARIABLE_35473))))))) (let ((_let_589 (forall ((BOUND_VARIABLE_37495 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35463 tptp.pname)) (= (ho_199 (ho_232 k_328 BOUND_VARIABLE_37495) BOUND_VARIABLE_35463) (ho_219 (ho_257 k_256 BOUND_VARIABLE_35463) BOUND_VARIABLE_37495))))) (let ((_let_590 (forall ((BOUND_VARIABLE_37506 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35455 tptp.pname)) (= (ho_199 (ho_232 k_329 BOUND_VARIABLE_37506) BOUND_VARIABLE_35455) (ho_219 (ho_257 k_256 BOUND_VARIABLE_35455) BOUND_VARIABLE_37506))))) (let ((_let_591 (forall ((BOUND_VARIABLE_37517 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35447 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 k_330 BOUND_VARIABLE_37517) BOUND_VARIABLE_35447) (ho_210 (ho_252 k_251 BOUND_VARIABLE_35447) BOUND_VARIABLE_37517))))) (let ((_let_592 (forall ((BOUND_VARIABLE_37528 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35439 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 k_331 BOUND_VARIABLE_37528) BOUND_VARIABLE_35439) (ho_210 (ho_252 k_251 BOUND_VARIABLE_35439) BOUND_VARIABLE_37528))))) (let ((_let_593 (forall ((BOUND_VARIABLE_37539 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35431 tptp.com)) (= (ho_239 (ho_241 k_332 BOUND_VARIABLE_37539) BOUND_VARIABLE_35431) (ho_263 (ho_262 k_261 BOUND_VARIABLE_35431) BOUND_VARIABLE_37539))))) (let ((_let_594 (forall ((BOUND_VARIABLE_37550 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35423 tptp.com)) (= (ho_239 (ho_241 k_333 BOUND_VARIABLE_37550) BOUND_VARIABLE_35423) (ho_263 (ho_262 k_261 BOUND_VARIABLE_35423) BOUND_VARIABLE_37550))))) (let ((_let_595 (forall ((BOUND_VARIABLE_37561 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35415 tptp.pname)) (= (ho_199 (ho_232 k_334 BOUND_VARIABLE_37561) BOUND_VARIABLE_35415) (ho_219 (ho_257 k_256 BOUND_VARIABLE_35415) BOUND_VARIABLE_37561))))) (let ((_let_596 (forall ((BOUND_VARIABLE_37572 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35407 tptp.pname)) (= (ho_199 (ho_232 k_335 BOUND_VARIABLE_37572) BOUND_VARIABLE_35407) (ho_219 (ho_257 k_256 BOUND_VARIABLE_35407) BOUND_VARIABLE_37572))))) (let ((_let_597 (forall ((BOUND_VARIABLE_37583 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35399 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 k_336 BOUND_VARIABLE_37583) BOUND_VARIABLE_35399) (ho_210 (ho_252 k_251 BOUND_VARIABLE_35399) BOUND_VARIABLE_37583))))) (let ((_let_598 (forall ((BOUND_VARIABLE_37594 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35391 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 k_337 BOUND_VARIABLE_37594) BOUND_VARIABLE_35391) (ho_210 (ho_252 k_251 BOUND_VARIABLE_35391) BOUND_VARIABLE_37594))))) (let ((_let_599 (forall ((BOUND_VARIABLE_37605 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35383 tptp.com)) (= (ho_239 (ho_241 k_338 BOUND_VARIABLE_37605) BOUND_VARIABLE_35383) (ho_263 (ho_262 k_261 BOUND_VARIABLE_35383) BOUND_VARIABLE_37605))))) (let ((_let_600 (forall ((BOUND_VARIABLE_37616 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35375 tptp.com)) (= (ho_239 (ho_241 k_339 BOUND_VARIABLE_37616) BOUND_VARIABLE_35375) (ho_263 (ho_262 k_261 BOUND_VARIABLE_35375) BOUND_VARIABLE_37616))))) (let ((_let_601 (forall ((BOUND_VARIABLE_37632 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37629 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35363 tptp.pname)) (= (ho_185 (ho_343 (ho_342 k_341 BOUND_VARIABLE_37632) BOUND_VARIABLE_37629) BOUND_VARIABLE_35363) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_37632 BOUND_VARIABLE_35363)) (ho_187 k_186 BOUND_VARIABLE_35363)) (ho_340 BOUND_VARIABLE_37629 BOUND_VARIABLE_35363)))))) (let ((_let_602 (forall ((BOUND_VARIABLE_37671 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37670 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35349 tptp.pname)) (= (ho_185 (ho_343 (ho_342 k_348 BOUND_VARIABLE_37671) BOUND_VARIABLE_37670) BOUND_VARIABLE_35349) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_37671 BOUND_VARIABLE_35349)) (ho_195 k_194 (ho_193 k_192 BOUND_VARIABLE_35349))) (ho_340 BOUND_VARIABLE_37670 BOUND_VARIABLE_35349)))))) (let ((_let_603 (forall ((BOUND_VARIABLE_37690 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37689 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35336 tptp.pname)) (= (ho_185 (ho_343 (ho_342 k_349 BOUND_VARIABLE_37690) BOUND_VARIABLE_37689) BOUND_VARIABLE_35336) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_37690 BOUND_VARIABLE_35336)) (ho_187 k_186 BOUND_VARIABLE_35336)) (ho_340 BOUND_VARIABLE_37689 BOUND_VARIABLE_35336)))))) (let ((_let_604 (forall ((BOUND_VARIABLE_35326 tptp.state) (BOUND_VARIABLE_35327 tptp.state) (BOUND_VARIABLE_35328 tptp.state)) (= (= BOUND_VARIABLE_35326 BOUND_VARIABLE_35328) (ho_319 (ho_318 (ho_351 k_350 BOUND_VARIABLE_35326) BOUND_VARIABLE_35327) BOUND_VARIABLE_35328))))) (let ((_let_605 (forall ((BOUND_VARIABLE_37720 |u_(-> tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35317 tptp.state) (BOUND_VARIABLE_35318 tptp.state) (BOUND_VARIABLE_35319 tptp.state)) (= (ho_319 (ho_318 (ho_351 (ho_353 k_352 BOUND_VARIABLE_37720) BOUND_VARIABLE_35317) BOUND_VARIABLE_35318) BOUND_VARIABLE_35319) (ho_319 (ho_318 BOUND_VARIABLE_37720 BOUND_VARIABLE_35317) BOUND_VARIABLE_35319))))) (let ((_let_606 (forall ((BOUND_VARIABLE_37741 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37740 |u_(-> tptp.pname tptp.com)|) (BOUND_VARIABLE_37739 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35305 tptp.pname)) (= (ho_185 (ho_343 (ho_356 (ho_355 k_354 BOUND_VARIABLE_37741) BOUND_VARIABLE_37740) BOUND_VARIABLE_37739) BOUND_VARIABLE_35305) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_37741 BOUND_VARIABLE_35305)) (ho_187 BOUND_VARIABLE_37740 BOUND_VARIABLE_35305)) (ho_340 BOUND_VARIABLE_37739 BOUND_VARIABLE_35305)))))) (let ((_let_607 (forall ((BOUND_VARIABLE_37770 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37769 |u_(-> tptp.pname tptp.com)|) (BOUND_VARIABLE_37768 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35291 tptp.pname)) (= (ho_185 (ho_343 (ho_356 (ho_355 k_357 BOUND_VARIABLE_37770) BOUND_VARIABLE_37769) BOUND_VARIABLE_37768) BOUND_VARIABLE_35291) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_37770 BOUND_VARIABLE_35291)) (ho_187 BOUND_VARIABLE_37769 BOUND_VARIABLE_35291)) (ho_340 BOUND_VARIABLE_37768 BOUND_VARIABLE_35291)))))) (let ((_let_608 (forall ((BOUND_VARIABLE_37800 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37797 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|) (BOUND_VARIABLE_37792 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37789 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_364 (ho_363 (ho_362 (ho_361 k_360 BOUND_VARIABLE_37800) BOUND_VARIABLE_37797) BOUND_VARIABLE_37792) BOUND_VARIABLE_37789) (ho_347 (ho_346 (ho_345 k_344 (ho_358 BOUND_VARIABLE_37800 BOUND_VARIABLE_37789)) (ho_359 BOUND_VARIABLE_37797 BOUND_VARIABLE_37789)) (ho_358 BOUND_VARIABLE_37792 BOUND_VARIABLE_37789)))))) (let ((_let_609 (forall ((BOUND_VARIABLE_37838 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37837 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.com)|) (BOUND_VARIABLE_37836 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37835 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_364 (ho_363 (ho_362 (ho_361 k_365 BOUND_VARIABLE_37838) BOUND_VARIABLE_37837) BOUND_VARIABLE_37836) BOUND_VARIABLE_37835) (ho_347 (ho_346 (ho_345 k_344 (ho_358 BOUND_VARIABLE_37838 BOUND_VARIABLE_37835)) (ho_359 BOUND_VARIABLE_37837 BOUND_VARIABLE_37835)) (ho_358 BOUND_VARIABLE_37836 BOUND_VARIABLE_37835)))))) (let ((_let_610 (forall ((BOUND_VARIABLE_37868 |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37865 |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|) (BOUND_VARIABLE_37860 |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37857 |u_(-> tptp.pname Bool)|)) (= (ho_372 (ho_371 (ho_370 (ho_369 k_368 BOUND_VARIABLE_37868) BOUND_VARIABLE_37865) BOUND_VARIABLE_37860) BOUND_VARIABLE_37857) (ho_347 (ho_346 (ho_345 k_344 (ho_366 BOUND_VARIABLE_37868 BOUND_VARIABLE_37857)) (ho_367 BOUND_VARIABLE_37865 BOUND_VARIABLE_37857)) (ho_366 BOUND_VARIABLE_37860 BOUND_VARIABLE_37857)))))) (let ((_let_611 (forall ((BOUND_VARIABLE_37906 |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37905 |u_(-> _u_(-> tptp.pname Bool)_ tptp.com)|) (BOUND_VARIABLE_37904 |u_(-> _u_(-> tptp.pname Bool)_ tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37903 |u_(-> tptp.pname Bool)|)) (= (ho_372 (ho_371 (ho_370 (ho_369 k_373 BOUND_VARIABLE_37906) BOUND_VARIABLE_37905) BOUND_VARIABLE_37904) BOUND_VARIABLE_37903) (ho_347 (ho_346 (ho_345 k_344 (ho_366 BOUND_VARIABLE_37906 BOUND_VARIABLE_37903)) (ho_367 BOUND_VARIABLE_37905 BOUND_VARIABLE_37903)) (ho_366 BOUND_VARIABLE_37904 BOUND_VARIABLE_37903)))))) (let ((_let_612 (forall ((BOUND_VARIABLE_37925 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37924 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35221 tptp.pname)) (= (ho_185 (ho_343 (ho_342 k_374 BOUND_VARIABLE_37925) BOUND_VARIABLE_37924) BOUND_VARIABLE_35221) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_37925 BOUND_VARIABLE_35221)) (ho_187 k_186 BOUND_VARIABLE_35221)) (ho_340 BOUND_VARIABLE_37924 BOUND_VARIABLE_35221)))))) (let ((_let_613 (forall ((BOUND_VARIABLE_37943 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37942 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35207 tptp.pname)) (= (ho_185 (ho_343 (ho_342 k_375 BOUND_VARIABLE_37943) BOUND_VARIABLE_37942) BOUND_VARIABLE_35207) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_37943 BOUND_VARIABLE_35207)) (ho_195 k_194 (ho_193 k_192 BOUND_VARIABLE_35207))) (ho_340 BOUND_VARIABLE_37942 BOUND_VARIABLE_35207)))))) (let ((_let_614 (forall ((BOUND_VARIABLE_35199 tptp.state) (BOUND_VARIABLE_35200 tptp.state)) (not (ho_319 (ho_318 k_376 BOUND_VARIABLE_35199) BOUND_VARIABLE_35200))))) (let ((_let_615 (forall ((BOUND_VARIABLE_37969 |u_(-> tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35189 Bool) (BOUND_VARIABLE_35190 tptp.state) (BOUND_VARIABLE_35191 tptp.state)) (= (ho_319 (ho_318 (ho_379 (ho_378 k_377 BOUND_VARIABLE_37969) BOUND_VARIABLE_35189) BOUND_VARIABLE_35190) BOUND_VARIABLE_35191) (and (ho_319 (ho_318 BOUND_VARIABLE_37969 BOUND_VARIABLE_35190) BOUND_VARIABLE_35191) BOUND_VARIABLE_35189))))) (let ((_let_616 (forall ((BOUND_VARIABLE_37992 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_37991 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35177 tptp.pname)) (= (ho_185 (ho_343 (ho_342 k_380 BOUND_VARIABLE_37992) BOUND_VARIABLE_37991) BOUND_VARIABLE_35177) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_37992 BOUND_VARIABLE_35177)) (ho_187 k_186 BOUND_VARIABLE_35177)) (ho_340 BOUND_VARIABLE_37991 BOUND_VARIABLE_35177)))))) (let ((_let_617 (forall ((BOUND_VARIABLE_38010 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_38009 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35163 tptp.pname)) (= (ho_185 (ho_343 (ho_342 k_381 BOUND_VARIABLE_38010) BOUND_VARIABLE_38009) BOUND_VARIABLE_35163) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_38010 BOUND_VARIABLE_35163)) (ho_195 k_194 (ho_193 k_192 BOUND_VARIABLE_35163))) (ho_340 BOUND_VARIABLE_38009 BOUND_VARIABLE_35163)))))) (let ((_let_618 (forall ((BOUND_VARIABLE_38029 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_38028 |u_(-> tptp.pname tptp.state tptp.state Bool)|) (BOUND_VARIABLE_35150 tptp.pname)) (= (ho_185 (ho_343 (ho_342 k_382 BOUND_VARIABLE_38029) BOUND_VARIABLE_38028) BOUND_VARIABLE_35150) (ho_347 (ho_346 (ho_345 k_344 (ho_340 BOUND_VARIABLE_38029 BOUND_VARIABLE_35150)) (ho_187 k_186 BOUND_VARIABLE_35150)) (ho_340 BOUND_VARIABLE_38028 BOUND_VARIABLE_35150)))))) (let ((_let_619 (forall ((BOUND_VARIABLE_35141 tptp.hoare_1708887482_state) (BOUND_VARIABLE_35142 tptp.hoare_1708887482_state)) (= (= BOUND_VARIABLE_35141 BOUND_VARIABLE_35142) (ho_201 (ho_255 k_383 BOUND_VARIABLE_35141) BOUND_VARIABLE_35142))))) (let ((_let_620 (forall ((BOUND_VARIABLE_38053 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38052 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_385 k_384 BOUND_VARIABLE_38053) BOUND_VARIABLE_38052) (= BOUND_VARIABLE_38052 BOUND_VARIABLE_38053))))) (let ((_let_621 (forall ((BOUND_VARIABLE_38068 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38067 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_387 k_386 BOUND_VARIABLE_38068) BOUND_VARIABLE_38067) (= BOUND_VARIABLE_38067 BOUND_VARIABLE_38068))))) (let ((_let_622 (forall ((BOUND_VARIABLE_35120 tptp.com) (BOUND_VARIABLE_35121 tptp.com)) (= (= BOUND_VARIABLE_35120 BOUND_VARIABLE_35121) (ho_239 (ho_266 k_388 BOUND_VARIABLE_35120) BOUND_VARIABLE_35121))))) (let ((_let_623 (forall ((BOUND_VARIABLE_35113 tptp.pname) (BOUND_VARIABLE_35114 tptp.pname)) (= (= BOUND_VARIABLE_35113 BOUND_VARIABLE_35114) (ho_199 (ho_260 k_389 BOUND_VARIABLE_35113) BOUND_VARIABLE_35114))))) (let ((_let_624 (forall ((BOUND_VARIABLE_38098 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38097 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35105 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_228 k_390 BOUND_VARIABLE_38098) BOUND_VARIABLE_38097) BOUND_VARIABLE_35105) (or (ho_201 BOUND_VARIABLE_38098 BOUND_VARIABLE_35105) (ho_201 BOUND_VARIABLE_38097 BOUND_VARIABLE_35105)))))) (let ((_let_625 (forall ((BOUND_VARIABLE_38114 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38113 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38112 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_216 k_391 BOUND_VARIABLE_38114) BOUND_VARIABLE_38113) BOUND_VARIABLE_38112) (or (ho_210 BOUND_VARIABLE_38114 BOUND_VARIABLE_38112) (ho_210 BOUND_VARIABLE_38113 BOUND_VARIABLE_38112)))))) (let ((_let_626 (forall ((BOUND_VARIABLE_38130 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38129 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38128 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_225 k_392 BOUND_VARIABLE_38130) BOUND_VARIABLE_38129) BOUND_VARIABLE_38128) (or (ho_219 BOUND_VARIABLE_38130 BOUND_VARIABLE_38128) (ho_219 BOUND_VARIABLE_38129 BOUND_VARIABLE_38128)))))) (let ((_let_627 (forall ((BOUND_VARIABLE_38145 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38144 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35075 tptp.pname)) (= (ho_199 (ho_232 (ho_236 k_393 BOUND_VARIABLE_38145) BOUND_VARIABLE_38144) BOUND_VARIABLE_35075) (or (ho_199 BOUND_VARIABLE_38145 BOUND_VARIABLE_35075) (ho_199 BOUND_VARIABLE_38144 BOUND_VARIABLE_35075)))))) (let ((_let_628 (forall ((BOUND_VARIABLE_38160 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38159 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_35064 tptp.pname)) (let ((_let_1 (ho_257 k_256 BOUND_VARIABLE_35064))) (= (ho_199 (ho_232 (ho_236 k_394 BOUND_VARIABLE_38160) BOUND_VARIABLE_38159) BOUND_VARIABLE_35064) (or (ho_219 _let_1 BOUND_VARIABLE_38160) (ho_219 _let_1 BOUND_VARIABLE_38159))))))) (let ((_let_629 (forall ((BOUND_VARIABLE_38176 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38175 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_35053 tptp.hoare_1708887482_state)) (let ((_let_1 (ho_252 k_251 BOUND_VARIABLE_35053))) (= (ho_201 (ho_203 (ho_228 k_395 BOUND_VARIABLE_38176) BOUND_VARIABLE_38175) BOUND_VARIABLE_35053) (or (ho_210 _let_1 BOUND_VARIABLE_38176) (ho_210 _let_1 BOUND_VARIABLE_38175))))))) (let ((_let_630 (forall ((BOUND_VARIABLE_38193 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38192 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38191 |u_(-> tptp.hoare_1708887482_state Bool)|)) (let ((_let_1 (ho_296 k_295 BOUND_VARIABLE_38191))) (= (ho_210 (ho_212 (ho_216 k_396 BOUND_VARIABLE_38193) BOUND_VARIABLE_38192) BOUND_VARIABLE_38191) (or (ho_297 _let_1 BOUND_VARIABLE_38193) (ho_297 _let_1 BOUND_VARIABLE_38192))))))) (let ((_let_631 (forall ((BOUND_VARIABLE_38210 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38209 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38208 |u_(-> tptp.pname Bool)|)) (let ((_let_1 (ho_300 k_299 BOUND_VARIABLE_38208))) (= (ho_219 (ho_221 (ho_225 k_397 BOUND_VARIABLE_38210) BOUND_VARIABLE_38209) BOUND_VARIABLE_38208) (or (ho_301 _let_1 BOUND_VARIABLE_38210) (ho_301 _let_1 BOUND_VARIABLE_38209))))))) (let ((_let_632 (forall ((BOUND_VARIABLE_38226 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_38225 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_35020 tptp.com)) (let ((_let_1 (ho_262 k_261 BOUND_VARIABLE_35020))) (= (ho_239 (ho_241 (ho_245 k_398 BOUND_VARIABLE_38226) BOUND_VARIABLE_38225) BOUND_VARIABLE_35020) (or (ho_263 _let_1 BOUND_VARIABLE_38226) (ho_263 _let_1 BOUND_VARIABLE_38225))))))) (let ((_let_633 (forall ((BOUND_VARIABLE_35011 tptp.pname)) (= (ho_185 k_399 BOUND_VARIABLE_35011) (ho_189 k_188 (ho_187 k_186 BOUND_VARIABLE_35011)))))) (let ((_let_634 (forall ((BOUND_VARIABLE_35003 tptp.pname)) (= (ho_185 k_400 BOUND_VARIABLE_35003) (ho_189 k_188 (ho_195 k_194 (ho_193 k_192 BOUND_VARIABLE_35003))))))) (let ((_let_635 (forall ((BOUND_VARIABLE_34996 tptp.pname)) (= (ho_185 k_401 BOUND_VARIABLE_34996) (ho_189 k_188 (ho_187 k_186 BOUND_VARIABLE_34996)))))) (let ((_let_636 (forall ((BOUND_VARIABLE_38265 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38264 |u_(-> tptp.pname tptp.hoare_1708887482_state)|) (BOUND_VARIABLE_34984 tptp.pname) (BOUND_VARIABLE_34985 tptp.pname)) (= (ho_199 (ho_260 (ho_404 (ho_403 k_402 BOUND_VARIABLE_38265) BOUND_VARIABLE_38264) BOUND_VARIABLE_34984) BOUND_VARIABLE_34985) (and (ho_219 (ho_257 k_256 BOUND_VARIABLE_34985) BOUND_VARIABLE_38265) (= (ho_185 BOUND_VARIABLE_38264 BOUND_VARIABLE_34984) (ho_185 BOUND_VARIABLE_38264 BOUND_VARIABLE_34985))))))) (let ((_let_637 (forall ((BOUND_VARIABLE_38293 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38292 |u_(-> tptp.pname tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34970 tptp.pname) (BOUND_VARIABLE_34971 tptp.pname)) (= (ho_199 (ho_260 (ho_407 (ho_406 k_405 BOUND_VARIABLE_38293) BOUND_VARIABLE_38292) BOUND_VARIABLE_34970) BOUND_VARIABLE_34971) (and (ho_219 (ho_257 k_256 BOUND_VARIABLE_34971) BOUND_VARIABLE_38293) (= (ho_208 BOUND_VARIABLE_38292 BOUND_VARIABLE_34970) (ho_208 BOUND_VARIABLE_38292 BOUND_VARIABLE_34971))))))) (let ((_let_638 (forall ((BOUND_VARIABLE_38321 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38320 |u_(-> tptp.pname tptp.pname Bool)|) (BOUND_VARIABLE_34956 tptp.pname) (BOUND_VARIABLE_34957 tptp.pname)) (= (ho_199 (ho_260 (ho_410 (ho_409 k_408 BOUND_VARIABLE_38321) BOUND_VARIABLE_38320) BOUND_VARIABLE_34956) BOUND_VARIABLE_34957) (and (ho_219 (ho_257 k_256 BOUND_VARIABLE_34957) BOUND_VARIABLE_38321) (= (ho_260 BOUND_VARIABLE_38320 BOUND_VARIABLE_34956) (ho_260 BOUND_VARIABLE_38320 BOUND_VARIABLE_34957))))))) (let ((_let_639 (forall ((BOUND_VARIABLE_38349 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38348 |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34942 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34943 tptp.hoare_1708887482_state)) (= (ho_201 (ho_255 (ho_413 (ho_412 k_411 BOUND_VARIABLE_38349) BOUND_VARIABLE_38348) BOUND_VARIABLE_34942) BOUND_VARIABLE_34943) (and (ho_210 (ho_252 k_251 BOUND_VARIABLE_34943) BOUND_VARIABLE_38349) (= (ho_255 BOUND_VARIABLE_38348 BOUND_VARIABLE_34942) (ho_255 BOUND_VARIABLE_38348 BOUND_VARIABLE_34943))))))) (let ((_let_640 (forall ((BOUND_VARIABLE_38380 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38377 |u_(-> tptp.hoare_1708887482_state tptp.pname Bool)|) (BOUND_VARIABLE_34928 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34929 tptp.hoare_1708887482_state)) (= (ho_201 (ho_255 (ho_417 (ho_416 k_415 BOUND_VARIABLE_38380) BOUND_VARIABLE_38377) BOUND_VARIABLE_34928) BOUND_VARIABLE_34929) (and (ho_210 (ho_252 k_251 BOUND_VARIABLE_34929) BOUND_VARIABLE_38380) (= (ho_414 BOUND_VARIABLE_38377 BOUND_VARIABLE_34928) (ho_414 BOUND_VARIABLE_38377 BOUND_VARIABLE_34929))))))) (let ((_let_641 (forall ((BOUND_VARIABLE_38414 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38411 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.pname)|) (BOUND_VARIABLE_38408 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38407 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_385 (ho_421 (ho_420 k_419 BOUND_VARIABLE_38414) BOUND_VARIABLE_38411) BOUND_VARIABLE_38408) BOUND_VARIABLE_38407) (and (ho_297 (ho_296 k_295 BOUND_VARIABLE_38407) BOUND_VARIABLE_38414) (= (ho_418 BOUND_VARIABLE_38411 BOUND_VARIABLE_38408) (ho_418 BOUND_VARIABLE_38411 BOUND_VARIABLE_38407))))))) (let ((_let_642 (forall ((BOUND_VARIABLE_38448 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38445 |u_(-> _u_(-> tptp.pname Bool)_ tptp.pname)|) (BOUND_VARIABLE_38442 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38441 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_387 (ho_425 (ho_424 k_423 BOUND_VARIABLE_38448) BOUND_VARIABLE_38445) BOUND_VARIABLE_38442) BOUND_VARIABLE_38441) (and (ho_301 (ho_300 k_299 BOUND_VARIABLE_38441) BOUND_VARIABLE_38448) (= (ho_422 BOUND_VARIABLE_38445 BOUND_VARIABLE_38442) (ho_422 BOUND_VARIABLE_38445 BOUND_VARIABLE_38441))))))) (let ((_let_643 (forall ((BOUND_VARIABLE_38479 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38476 |u_(-> tptp.pname tptp.pname)|) (BOUND_VARIABLE_34886 tptp.pname) (BOUND_VARIABLE_34887 tptp.pname)) (= (ho_199 (ho_260 (ho_429 (ho_428 k_427 BOUND_VARIABLE_38479) BOUND_VARIABLE_38476) BOUND_VARIABLE_34886) BOUND_VARIABLE_34887) (and (ho_219 (ho_257 k_256 BOUND_VARIABLE_34887) BOUND_VARIABLE_38479) (= (ho_426 BOUND_VARIABLE_38476 BOUND_VARIABLE_34886) (ho_426 BOUND_VARIABLE_38476 BOUND_VARIABLE_34887))))))) (let ((_let_644 (forall ((BOUND_VARIABLE_38510 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38507 |u_(-> tptp.hoare_1708887482_state tptp.pname)|) (BOUND_VARIABLE_34872 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34873 tptp.hoare_1708887482_state)) (= (ho_201 (ho_255 (ho_433 (ho_432 k_431 BOUND_VARIABLE_38510) BOUND_VARIABLE_38507) BOUND_VARIABLE_34872) BOUND_VARIABLE_34873) (and (ho_210 (ho_252 k_251 BOUND_VARIABLE_34873) BOUND_VARIABLE_38510) (= (ho_430 BOUND_VARIABLE_38507 BOUND_VARIABLE_34872) (ho_430 BOUND_VARIABLE_38507 BOUND_VARIABLE_34873))))))) (let ((_let_645 (forall ((BOUND_VARIABLE_38541 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_38538 |u_(-> tptp.com tptp.pname)|) (BOUND_VARIABLE_34858 tptp.com) (BOUND_VARIABLE_34859 tptp.com)) (= (ho_239 (ho_266 (ho_437 (ho_436 k_435 BOUND_VARIABLE_38541) BOUND_VARIABLE_38538) BOUND_VARIABLE_34858) BOUND_VARIABLE_34859) (and (ho_263 (ho_262 k_261 BOUND_VARIABLE_34859) BOUND_VARIABLE_38541) (= (ho_434 BOUND_VARIABLE_38538 BOUND_VARIABLE_34858) (ho_434 BOUND_VARIABLE_38538 BOUND_VARIABLE_34859))))))) (let ((_let_646 (forall ((BOUND_VARIABLE_38571 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38570 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ tptp.hoare_1708887482_state)|) (BOUND_VARIABLE_38569 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38568 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_385 (ho_440 (ho_439 k_438 BOUND_VARIABLE_38571) BOUND_VARIABLE_38570) BOUND_VARIABLE_38569) BOUND_VARIABLE_38568) (and (ho_297 (ho_296 k_295 BOUND_VARIABLE_38568) BOUND_VARIABLE_38571) (= (ho_364 BOUND_VARIABLE_38570 BOUND_VARIABLE_38569) (ho_364 BOUND_VARIABLE_38570 BOUND_VARIABLE_38568))))))) (let ((_let_647 (forall ((BOUND_VARIABLE_38601 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38600 |u_(-> _u_(-> tptp.pname Bool)_ tptp.hoare_1708887482_state)|) (BOUND_VARIABLE_38599 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38598 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_387 (ho_443 (ho_442 k_441 BOUND_VARIABLE_38601) BOUND_VARIABLE_38600) BOUND_VARIABLE_38599) BOUND_VARIABLE_38598) (and (ho_301 (ho_300 k_299 BOUND_VARIABLE_38598) BOUND_VARIABLE_38601) (= (ho_372 BOUND_VARIABLE_38600 BOUND_VARIABLE_38599) (ho_372 BOUND_VARIABLE_38600 BOUND_VARIABLE_38598))))))) (let ((_let_648 (forall ((BOUND_VARIABLE_38629 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38628 |u_(-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)|) (BOUND_VARIABLE_34816 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34817 tptp.hoare_1708887482_state)) (= (ho_201 (ho_255 (ho_446 (ho_445 k_444 BOUND_VARIABLE_38629) BOUND_VARIABLE_38628) BOUND_VARIABLE_34816) BOUND_VARIABLE_34817) (and (ho_210 (ho_252 k_251 BOUND_VARIABLE_34817) BOUND_VARIABLE_38629) (= (ho_288 BOUND_VARIABLE_38628 BOUND_VARIABLE_34816) (ho_288 BOUND_VARIABLE_38628 BOUND_VARIABLE_34817))))))) (let ((_let_649 (forall ((BOUND_VARIABLE_38657 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_38656 |u_(-> tptp.com tptp.hoare_1708887482_state)|) (BOUND_VARIABLE_34802 tptp.com) (BOUND_VARIABLE_34803 tptp.com)) (= (ho_239 (ho_266 (ho_449 (ho_448 k_447 BOUND_VARIABLE_38657) BOUND_VARIABLE_38656) BOUND_VARIABLE_34802) BOUND_VARIABLE_34803) (and (ho_263 (ho_262 k_261 BOUND_VARIABLE_34803) BOUND_VARIABLE_38657) (= (ho_189 BOUND_VARIABLE_38656 BOUND_VARIABLE_34802) (ho_189 BOUND_VARIABLE_38656 BOUND_VARIABLE_34803))))))) (let ((_let_650 (forall ((BOUND_VARIABLE_34793 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34794 tptp.hoare_1708887482_state)) (= (= BOUND_VARIABLE_34793 BOUND_VARIABLE_34794) (ho_201 (ho_255 k_450 BOUND_VARIABLE_34793) BOUND_VARIABLE_34794))))) (let ((_let_651 (forall ((BOUND_VARIABLE_38690 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38689 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_385 k_451 BOUND_VARIABLE_38690) BOUND_VARIABLE_38689) (= BOUND_VARIABLE_38689 BOUND_VARIABLE_38690))))) (let ((_let_652 (forall ((BOUND_VARIABLE_38701 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38700 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_387 k_452 BOUND_VARIABLE_38701) BOUND_VARIABLE_38700) (= BOUND_VARIABLE_38700 BOUND_VARIABLE_38701))))) (let ((_let_653 (forall ((BOUND_VARIABLE_34772 tptp.com) (BOUND_VARIABLE_34773 tptp.com)) (= (= BOUND_VARIABLE_34772 BOUND_VARIABLE_34773) (ho_239 (ho_266 k_453 BOUND_VARIABLE_34772) BOUND_VARIABLE_34773))))) (let ((_let_654 (forall ((BOUND_VARIABLE_34765 tptp.pname) (BOUND_VARIABLE_34766 tptp.pname)) (= (= BOUND_VARIABLE_34765 BOUND_VARIABLE_34766) (ho_199 (ho_260 k_454 BOUND_VARIABLE_34765) BOUND_VARIABLE_34766))))) (let ((_let_655 (forall ((BOUND_VARIABLE_34755 tptp.hoare_1708887482_state) (BOUND_VARIABLE_38723 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34757 tptp.hoare_1708887482_state)) (= (and (= BOUND_VARIABLE_34755 BOUND_VARIABLE_34757) (ho_201 BOUND_VARIABLE_38723 BOUND_VARIABLE_34757)) (ho_201 (ho_203 (ho_205 k_455 BOUND_VARIABLE_34755) BOUND_VARIABLE_38723) BOUND_VARIABLE_34757))))) (let ((_let_656 (forall ((BOUND_VARIABLE_34745 tptp.hoare_1708887482_state) (BOUND_VARIABLE_38736 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34747 tptp.hoare_1708887482_state)) (= (and (= BOUND_VARIABLE_34745 BOUND_VARIABLE_34747) (ho_201 BOUND_VARIABLE_38736 BOUND_VARIABLE_34747)) (ho_201 (ho_203 (ho_205 k_456 BOUND_VARIABLE_34745) BOUND_VARIABLE_38736) BOUND_VARIABLE_34747))))) (let ((_let_657 (forall ((BOUND_VARIABLE_38752 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38750 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38749 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_214 k_457 BOUND_VARIABLE_38752) BOUND_VARIABLE_38750) BOUND_VARIABLE_38749) (and (= BOUND_VARIABLE_38749 BOUND_VARIABLE_38752) (ho_210 BOUND_VARIABLE_38750 BOUND_VARIABLE_38749)))))) (let ((_let_658 (forall ((BOUND_VARIABLE_38768 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38766 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38765 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_214 k_458 BOUND_VARIABLE_38768) BOUND_VARIABLE_38766) BOUND_VARIABLE_38765) (and (= BOUND_VARIABLE_38765 BOUND_VARIABLE_38768) (ho_210 BOUND_VARIABLE_38766 BOUND_VARIABLE_38765)))))) (let ((_let_659 (forall ((BOUND_VARIABLE_38784 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38782 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38781 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_223 k_459 BOUND_VARIABLE_38784) BOUND_VARIABLE_38782) BOUND_VARIABLE_38781) (and (= BOUND_VARIABLE_38781 BOUND_VARIABLE_38784) (ho_219 BOUND_VARIABLE_38782 BOUND_VARIABLE_38781)))))) (let ((_let_660 (forall ((BOUND_VARIABLE_38800 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38798 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38797 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_223 k_460 BOUND_VARIABLE_38800) BOUND_VARIABLE_38798) BOUND_VARIABLE_38797) (and (= BOUND_VARIABLE_38797 BOUND_VARIABLE_38800) (ho_219 BOUND_VARIABLE_38798 BOUND_VARIABLE_38797)))))) (let ((_let_661 (forall ((BOUND_VARIABLE_34695 tptp.com) (BOUND_VARIABLE_38813 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_34697 tptp.com)) (= (and (= BOUND_VARIABLE_34695 BOUND_VARIABLE_34697) (ho_239 BOUND_VARIABLE_38813 BOUND_VARIABLE_34697)) (ho_239 (ho_241 (ho_243 k_461 BOUND_VARIABLE_34695) BOUND_VARIABLE_38813) BOUND_VARIABLE_34697))))) (let ((_let_662 (forall ((BOUND_VARIABLE_34685 tptp.com) (BOUND_VARIABLE_38826 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_34687 tptp.com)) (= (and (= BOUND_VARIABLE_34685 BOUND_VARIABLE_34687) (ho_239 BOUND_VARIABLE_38826 BOUND_VARIABLE_34687)) (ho_239 (ho_241 (ho_243 k_462 BOUND_VARIABLE_34685) BOUND_VARIABLE_38826) BOUND_VARIABLE_34687))))) (let ((_let_663 (forall ((BOUND_VARIABLE_34675 tptp.pname) (BOUND_VARIABLE_38839 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34677 tptp.pname)) (= (and (= BOUND_VARIABLE_34675 BOUND_VARIABLE_34677) (ho_199 BOUND_VARIABLE_38839 BOUND_VARIABLE_34677)) (ho_199 (ho_232 (ho_234 k_463 BOUND_VARIABLE_34675) BOUND_VARIABLE_38839) BOUND_VARIABLE_34677))))) (let ((_let_664 (forall ((BOUND_VARIABLE_34665 tptp.pname) (BOUND_VARIABLE_38852 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34667 tptp.pname)) (= (and (= BOUND_VARIABLE_34665 BOUND_VARIABLE_34667) (ho_199 BOUND_VARIABLE_38852 BOUND_VARIABLE_34667)) (ho_199 (ho_232 (ho_234 k_464 BOUND_VARIABLE_34665) BOUND_VARIABLE_38852) BOUND_VARIABLE_34667))))) (let ((_let_665 (forall ((BOUND_VARIABLE_34655 tptp.hoare_1708887482_state) (BOUND_VARIABLE_38865 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34657 tptp.hoare_1708887482_state)) (= (and (= BOUND_VARIABLE_34655 BOUND_VARIABLE_34657) (ho_201 BOUND_VARIABLE_38865 BOUND_VARIABLE_34657)) (ho_201 (ho_203 (ho_205 k_465 BOUND_VARIABLE_34655) BOUND_VARIABLE_38865) BOUND_VARIABLE_34657))))) (let ((_let_666 (forall ((BOUND_VARIABLE_34645 tptp.hoare_1708887482_state) (BOUND_VARIABLE_38878 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34647 tptp.hoare_1708887482_state)) (= (and (= BOUND_VARIABLE_34645 BOUND_VARIABLE_34647) (ho_201 BOUND_VARIABLE_38878 BOUND_VARIABLE_34647)) (ho_201 (ho_203 (ho_205 k_466 BOUND_VARIABLE_34645) BOUND_VARIABLE_38878) BOUND_VARIABLE_34647))))) (let ((_let_667 (forall ((BOUND_VARIABLE_38894 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38892 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38891 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_214 k_467 BOUND_VARIABLE_38894) BOUND_VARIABLE_38892) BOUND_VARIABLE_38891) (and (= BOUND_VARIABLE_38891 BOUND_VARIABLE_38894) (ho_210 BOUND_VARIABLE_38892 BOUND_VARIABLE_38891)))))) (let ((_let_668 (forall ((BOUND_VARIABLE_38910 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_38908 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_38907 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_214 k_468 BOUND_VARIABLE_38910) BOUND_VARIABLE_38908) BOUND_VARIABLE_38907) (and (= BOUND_VARIABLE_38907 BOUND_VARIABLE_38910) (ho_210 BOUND_VARIABLE_38908 BOUND_VARIABLE_38907)))))) (let ((_let_669 (forall ((BOUND_VARIABLE_38926 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38924 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38923 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_223 k_469 BOUND_VARIABLE_38926) BOUND_VARIABLE_38924) BOUND_VARIABLE_38923) (and (= BOUND_VARIABLE_38923 BOUND_VARIABLE_38926) (ho_219 BOUND_VARIABLE_38924 BOUND_VARIABLE_38923)))))) (let ((_let_670 (forall ((BOUND_VARIABLE_38942 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_38940 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_38939 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_223 k_470 BOUND_VARIABLE_38942) BOUND_VARIABLE_38940) BOUND_VARIABLE_38939) (and (= BOUND_VARIABLE_38939 BOUND_VARIABLE_38942) (ho_219 BOUND_VARIABLE_38940 BOUND_VARIABLE_38939)))))) (let ((_let_671 (forall ((BOUND_VARIABLE_34595 tptp.com) (BOUND_VARIABLE_38955 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_34597 tptp.com)) (= (and (= BOUND_VARIABLE_34595 BOUND_VARIABLE_34597) (ho_239 BOUND_VARIABLE_38955 BOUND_VARIABLE_34597)) (ho_239 (ho_241 (ho_243 k_471 BOUND_VARIABLE_34595) BOUND_VARIABLE_38955) BOUND_VARIABLE_34597))))) (let ((_let_672 (forall ((BOUND_VARIABLE_34585 tptp.com) (BOUND_VARIABLE_38968 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_34587 tptp.com)) (= (and (= BOUND_VARIABLE_34585 BOUND_VARIABLE_34587) (ho_239 BOUND_VARIABLE_38968 BOUND_VARIABLE_34587)) (ho_239 (ho_241 (ho_243 k_472 BOUND_VARIABLE_34585) BOUND_VARIABLE_38968) BOUND_VARIABLE_34587))))) (let ((_let_673 (forall ((BOUND_VARIABLE_34575 tptp.pname) (BOUND_VARIABLE_38981 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34577 tptp.pname)) (= (and (= BOUND_VARIABLE_34575 BOUND_VARIABLE_34577) (ho_199 BOUND_VARIABLE_38981 BOUND_VARIABLE_34577)) (ho_199 (ho_232 (ho_234 k_473 BOUND_VARIABLE_34575) BOUND_VARIABLE_38981) BOUND_VARIABLE_34577))))) (let ((_let_674 (forall ((BOUND_VARIABLE_34565 tptp.pname) (BOUND_VARIABLE_38994 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34567 tptp.pname)) (= (and (= BOUND_VARIABLE_34565 BOUND_VARIABLE_34567) (ho_199 BOUND_VARIABLE_38994 BOUND_VARIABLE_34567)) (ho_199 (ho_232 (ho_234 k_474 BOUND_VARIABLE_34565) BOUND_VARIABLE_38994) BOUND_VARIABLE_34567))))) (let ((_let_675 (forall ((BOUND_VARIABLE_34554 tptp.hoare_1708887482_state) (BOUND_VARIABLE_39010 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34556 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_205 k_475 BOUND_VARIABLE_34554) BOUND_VARIABLE_39010) BOUND_VARIABLE_34556) (or (= BOUND_VARIABLE_34554 BOUND_VARIABLE_34556) (ho_210 (ho_252 k_251 BOUND_VARIABLE_34556) BOUND_VARIABLE_39010)))))) (let ((_let_676 (forall ((BOUND_VARIABLE_34543 tptp.pname) (BOUND_VARIABLE_39024 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34545 tptp.pname)) (= (ho_199 (ho_232 (ho_234 k_476 BOUND_VARIABLE_34543) BOUND_VARIABLE_39024) BOUND_VARIABLE_34545) (or (= BOUND_VARIABLE_34543 BOUND_VARIABLE_34545) (ho_219 (ho_257 k_256 BOUND_VARIABLE_34545) BOUND_VARIABLE_39024)))))) (let ((_let_677 (forall ((BOUND_VARIABLE_39040 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_39039 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_39038 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_214 k_477 BOUND_VARIABLE_39040) BOUND_VARIABLE_39039) BOUND_VARIABLE_39038) (or (= BOUND_VARIABLE_39038 BOUND_VARIABLE_39040) (ho_297 (ho_296 k_295 BOUND_VARIABLE_39038) BOUND_VARIABLE_39039)))))) (let ((_let_678 (forall ((BOUND_VARIABLE_39057 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_39056 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_39055 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_223 k_478 BOUND_VARIABLE_39057) BOUND_VARIABLE_39056) BOUND_VARIABLE_39055) (or (= BOUND_VARIABLE_39055 BOUND_VARIABLE_39057) (ho_301 (ho_300 k_299 BOUND_VARIABLE_39055) BOUND_VARIABLE_39056)))))) (let ((_let_679 (forall ((BOUND_VARIABLE_34510 tptp.com) (BOUND_VARIABLE_39072 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_34512 tptp.com)) (= (ho_239 (ho_241 (ho_243 k_479 BOUND_VARIABLE_34510) BOUND_VARIABLE_39072) BOUND_VARIABLE_34512) (or (= BOUND_VARIABLE_34510 BOUND_VARIABLE_34512) (ho_263 (ho_262 k_261 BOUND_VARIABLE_34512) BOUND_VARIABLE_39072)))))) (let ((_let_680 (forall ((BOUND_VARIABLE_39087 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_39086 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34502 tptp.pname)) (= (ho_199 (ho_232 (ho_236 k_480 BOUND_VARIABLE_39087) BOUND_VARIABLE_39086) BOUND_VARIABLE_34502) (or (ho_199 BOUND_VARIABLE_39087 BOUND_VARIABLE_34502) (ho_199 BOUND_VARIABLE_39086 BOUND_VARIABLE_34502)))))) (let ((_let_681 (forall ((BOUND_VARIABLE_39102 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_39101 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34492 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_228 k_481 BOUND_VARIABLE_39102) BOUND_VARIABLE_39101) BOUND_VARIABLE_34492) (or (ho_201 BOUND_VARIABLE_39102 BOUND_VARIABLE_34492) (ho_201 BOUND_VARIABLE_39101 BOUND_VARIABLE_34492)))))) (let ((_let_682 (forall ((BOUND_VARIABLE_39118 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_39117 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_39116 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_216 k_482 BOUND_VARIABLE_39118) BOUND_VARIABLE_39117) BOUND_VARIABLE_39116) (or (ho_210 BOUND_VARIABLE_39118 BOUND_VARIABLE_39116) (ho_210 BOUND_VARIABLE_39117 BOUND_VARIABLE_39116)))))) (let ((_let_683 (forall ((BOUND_VARIABLE_39134 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_39133 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_39132 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_225 k_483 BOUND_VARIABLE_39134) BOUND_VARIABLE_39133) BOUND_VARIABLE_39132) (or (ho_219 BOUND_VARIABLE_39134 BOUND_VARIABLE_39132) (ho_219 BOUND_VARIABLE_39133 BOUND_VARIABLE_39132)))))) (let ((_let_684 (forall ((BOUND_VARIABLE_34459 tptp.hoare_1708887482_state) (BOUND_VARIABLE_39148 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34461 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_205 k_484 BOUND_VARIABLE_34459) BOUND_VARIABLE_39148) BOUND_VARIABLE_34461) (or (= BOUND_VARIABLE_34459 BOUND_VARIABLE_34461) (ho_210 (ho_252 k_251 BOUND_VARIABLE_34461) BOUND_VARIABLE_39148)))))) (let ((_let_685 (forall ((BOUND_VARIABLE_34448 tptp.pname) (BOUND_VARIABLE_39162 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34450 tptp.pname)) (= (ho_199 (ho_232 (ho_234 k_485 BOUND_VARIABLE_34448) BOUND_VARIABLE_39162) BOUND_VARIABLE_34450) (or (= BOUND_VARIABLE_34448 BOUND_VARIABLE_34450) (ho_219 (ho_257 k_256 BOUND_VARIABLE_34450) BOUND_VARIABLE_39162)))))) (let ((_let_686 (forall ((BOUND_VARIABLE_39178 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_39177 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_39176 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_214 k_486 BOUND_VARIABLE_39178) BOUND_VARIABLE_39177) BOUND_VARIABLE_39176) (or (= BOUND_VARIABLE_39176 BOUND_VARIABLE_39178) (ho_297 (ho_296 k_295 BOUND_VARIABLE_39176) BOUND_VARIABLE_39177)))))) (let ((_let_687 (forall ((BOUND_VARIABLE_39195 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_39194 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_39193 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_223 k_487 BOUND_VARIABLE_39195) BOUND_VARIABLE_39194) BOUND_VARIABLE_39193) (or (= BOUND_VARIABLE_39193 BOUND_VARIABLE_39195) (ho_301 (ho_300 k_299 BOUND_VARIABLE_39193) BOUND_VARIABLE_39194)))))) (let ((_let_688 (forall ((BOUND_VARIABLE_34415 tptp.com) (BOUND_VARIABLE_39210 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_34417 tptp.com)) (= (ho_239 (ho_241 (ho_243 k_488 BOUND_VARIABLE_34415) BOUND_VARIABLE_39210) BOUND_VARIABLE_34417) (or (= BOUND_VARIABLE_34415 BOUND_VARIABLE_34417) (ho_263 (ho_262 k_261 BOUND_VARIABLE_34417) BOUND_VARIABLE_39210)))))) (let ((_let_689 (forall ((BOUND_VARIABLE_34404 tptp.hoare_1708887482_state) (BOUND_VARIABLE_39221 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34406 tptp.hoare_1708887482_state)) (= (or (= BOUND_VARIABLE_34404 BOUND_VARIABLE_34406) (ho_201 BOUND_VARIABLE_39221 BOUND_VARIABLE_34406)) (ho_201 (ho_203 (ho_205 k_489 BOUND_VARIABLE_34404) BOUND_VARIABLE_39221) BOUND_VARIABLE_34406))))) (let ((_let_690 (forall ((BOUND_VARIABLE_39237 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_39235 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_39234 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_214 k_490 BOUND_VARIABLE_39237) BOUND_VARIABLE_39235) BOUND_VARIABLE_39234) (or (= BOUND_VARIABLE_39234 BOUND_VARIABLE_39237) (ho_210 BOUND_VARIABLE_39235 BOUND_VARIABLE_39234)))))) (let ((_let_691 (forall ((BOUND_VARIABLE_39253 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_39251 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_39250 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_223 k_491 BOUND_VARIABLE_39253) BOUND_VARIABLE_39251) BOUND_VARIABLE_39250) (or (= BOUND_VARIABLE_39250 BOUND_VARIABLE_39253) (ho_219 BOUND_VARIABLE_39251 BOUND_VARIABLE_39250)))))) (let ((_let_692 (forall ((BOUND_VARIABLE_34371 tptp.com) (BOUND_VARIABLE_39266 |u_(-> tptp.com Bool)|) (BOUND_VARIABLE_34373 tptp.com)) (= (or (= BOUND_VARIABLE_34371 BOUND_VARIABLE_34373) (ho_239 BOUND_VARIABLE_39266 BOUND_VARIABLE_34373)) (ho_239 (ho_241 (ho_243 k_492 BOUND_VARIABLE_34371) BOUND_VARIABLE_39266) BOUND_VARIABLE_34373))))) (let ((_let_693 (forall ((BOUND_VARIABLE_34360 tptp.pname) (BOUND_VARIABLE_39279 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34362 tptp.pname)) (= (or (= BOUND_VARIABLE_34360 BOUND_VARIABLE_34362) (ho_199 BOUND_VARIABLE_39279 BOUND_VARIABLE_34362)) (ho_199 (ho_232 (ho_234 k_493 BOUND_VARIABLE_34360) BOUND_VARIABLE_39279) BOUND_VARIABLE_34362))))) (let ((_let_694 (forall ((BOUND_VARIABLE_34354 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34355 tptp.pname)) (= BOUND_VARIABLE_34354 (ho_185 (ho_495 k_494 BOUND_VARIABLE_34354) BOUND_VARIABLE_34355))))) (let ((_let_695 (forall ((BOUND_VARIABLE_34348 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34349 tptp.com)) (= BOUND_VARIABLE_34348 (ho_189 (ho_497 k_496 BOUND_VARIABLE_34348) BOUND_VARIABLE_34349))))) (let ((_let_696 (forall ((BOUND_VARIABLE_34342 tptp.com) (BOUND_VARIABLE_34343 tptp.pname)) (= BOUND_VARIABLE_34342 (ho_187 (ho_499 k_498 BOUND_VARIABLE_34342) BOUND_VARIABLE_34343))))) (let ((_let_697 (forall ((BOUND_VARIABLE_34336 tptp.pname) (BOUND_VARIABLE_34337 tptp.pname)) (= BOUND_VARIABLE_34336 (ho_426 (ho_501 k_500 BOUND_VARIABLE_34336) BOUND_VARIABLE_34337))))) (let ((_let_698 (forall ((BOUND_VARIABLE_34330 tptp.com) (BOUND_VARIABLE_34331 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34330 (ho_504 (ho_503 k_502 BOUND_VARIABLE_34330) BOUND_VARIABLE_34331))))) (let ((_let_699 (forall ((BOUND_VARIABLE_34324 tptp.pname) (BOUND_VARIABLE_34325 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34324 (ho_430 (ho_506 k_505 BOUND_VARIABLE_34324) BOUND_VARIABLE_34325))))) (let ((_let_700 (forall ((BOUND_VARIABLE_34318 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34319 tptp.pname)) (= BOUND_VARIABLE_34318 (ho_185 (ho_495 k_507 BOUND_VARIABLE_34318) BOUND_VARIABLE_34319))))) (let ((_let_701 (forall ((BOUND_VARIABLE_34312 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34313 tptp.pname)) (= BOUND_VARIABLE_34312 (ho_185 (ho_495 k_508 BOUND_VARIABLE_34312) BOUND_VARIABLE_34313))))) (let ((_let_702 (forall ((BOUND_VARIABLE_34306 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34307 tptp.com)) (= BOUND_VARIABLE_34306 (ho_189 (ho_497 k_509 BOUND_VARIABLE_34306) BOUND_VARIABLE_34307))))) (let ((_let_703 (forall ((BOUND_VARIABLE_34300 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34301 tptp.com)) (= BOUND_VARIABLE_34300 (ho_189 (ho_497 k_510 BOUND_VARIABLE_34300) BOUND_VARIABLE_34301))))) (let ((_let_704 (forall ((BOUND_VARIABLE_34294 tptp.com) (BOUND_VARIABLE_34295 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34294 (ho_504 (ho_503 k_511 BOUND_VARIABLE_34294) BOUND_VARIABLE_34295))))) (let ((_let_705 (forall ((BOUND_VARIABLE_34288 tptp.com) (BOUND_VARIABLE_34289 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34288 (ho_504 (ho_503 k_512 BOUND_VARIABLE_34288) BOUND_VARIABLE_34289))))) (let ((_let_706 (forall ((BOUND_VARIABLE_34282 tptp.pname) (BOUND_VARIABLE_34283 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34282 (ho_430 (ho_506 k_513 BOUND_VARIABLE_34282) BOUND_VARIABLE_34283))))) (let ((_let_707 (forall ((BOUND_VARIABLE_34276 tptp.pname) (BOUND_VARIABLE_34277 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34276 (ho_430 (ho_506 k_514 BOUND_VARIABLE_34276) BOUND_VARIABLE_34277))))) (let ((_let_708 (forall ((BOUND_VARIABLE_39415 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_39414 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_34268 tptp.pname)) (= (ho_199 (ho_232 (ho_236 k_515 BOUND_VARIABLE_39415) BOUND_VARIABLE_39414) BOUND_VARIABLE_34268) (and (ho_199 BOUND_VARIABLE_39415 BOUND_VARIABLE_34268) (ho_199 BOUND_VARIABLE_39414 BOUND_VARIABLE_34268)))))) (let ((_let_709 (forall ((BOUND_VARIABLE_39430 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_39429 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_34258 tptp.hoare_1708887482_state)) (= (ho_201 (ho_203 (ho_228 k_516 BOUND_VARIABLE_39430) BOUND_VARIABLE_39429) BOUND_VARIABLE_34258) (and (ho_201 BOUND_VARIABLE_39430 BOUND_VARIABLE_34258) (ho_201 BOUND_VARIABLE_39429 BOUND_VARIABLE_34258)))))) (let ((_let_710 (forall ((BOUND_VARIABLE_39446 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_39445 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_39444 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_212 (ho_216 k_517 BOUND_VARIABLE_39446) BOUND_VARIABLE_39445) BOUND_VARIABLE_39444) (and (ho_210 BOUND_VARIABLE_39446 BOUND_VARIABLE_39444) (ho_210 BOUND_VARIABLE_39445 BOUND_VARIABLE_39444)))))) (let ((_let_711 (forall ((BOUND_VARIABLE_39462 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_39461 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_39460 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_221 (ho_225 k_518 BOUND_VARIABLE_39462) BOUND_VARIABLE_39461) BOUND_VARIABLE_39460) (and (ho_219 BOUND_VARIABLE_39462 BOUND_VARIABLE_39460) (ho_219 BOUND_VARIABLE_39461 BOUND_VARIABLE_39460)))))) (let ((_let_712 (forall ((BOUND_VARIABLE_39474 |u_(-> tptp.hoare_1708887482_state Bool)|)) (not (ho_210 k_209 BOUND_VARIABLE_39474))))) (let ((_let_713 (forall ((BOUND_VARIABLE_39480 |u_(-> tptp.pname Bool)|)) (not (ho_219 k_218 BOUND_VARIABLE_39480))))) (let ((_let_714 (forall ((BOUND_VARIABLE_34221 tptp.com)) (not (ho_239 k_238 BOUND_VARIABLE_34221))))) (let ((_let_715 (forall ((BOUND_VARIABLE_34216 tptp.pname)) (not (ho_199 k_230 BOUND_VARIABLE_34216))))) (let ((_let_716 (forall ((BOUND_VARIABLE_39496 |u_(-> tptp.pname Bool)|) (BOUND_VARIABLE_39495 |u_(-> tptp.pname Bool)|)) (= (ho_219 (ho_387 k_519 BOUND_VARIABLE_39496) BOUND_VARIABLE_39495) (ho_219 (ho_387 k_520 BOUND_VARIABLE_39495) BOUND_VARIABLE_39496))))) (let ((_let_717 (forall ((BOUND_VARIABLE_39509 |u_(-> tptp.hoare_1708887482_state Bool)|) (BOUND_VARIABLE_39508 |u_(-> tptp.hoare_1708887482_state Bool)|)) (= (ho_210 (ho_385 k_521 BOUND_VARIABLE_39509) BOUND_VARIABLE_39508) (ho_210 (ho_385 k_522 BOUND_VARIABLE_39508) BOUND_VARIABLE_39509))))) (let ((_let_718 (forall ((BOUND_VARIABLE_39522 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|) (BOUND_VARIABLE_39521 |u_(-> _u_(-> tptp.hoare_1708887482_state Bool)_ Bool)|)) (= (ho_297 (ho_524 k_523 BOUND_VARIABLE_39522) BOUND_VARIABLE_39521) (ho_297 (ho_524 k_525 BOUND_VARIABLE_39521) BOUND_VARIABLE_39522))))) (let ((_let_719 (forall ((BOUND_VARIABLE_39539 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|) (BOUND_VARIABLE_39538 |u_(-> _u_(-> tptp.pname Bool)_ Bool)|)) (= (ho_301 (ho_527 k_526 BOUND_VARIABLE_39539) BOUND_VARIABLE_39538) (ho_301 (ho_527 k_528 BOUND_VARIABLE_39538) BOUND_VARIABLE_39539))))) (let ((_let_720 (forall ((BOUND_VARIABLE_34179 tptp.hoare_1708887482_state)) (not (ho_201 k_200 BOUND_VARIABLE_34179))))) (let ((_let_721 (forall ((BOUND_VARIABLE_36060 tptp.pname)) (= (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 BOUND_VARIABLE_36060)) (ll_183 BOUND_VARIABLE_36060))))) (let ((_let_722 (forall ((BOUND_VARIABLE_36053 tptp.pname)) (= (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 BOUND_VARIABLE_36053)) (ll_182 BOUND_VARIABLE_36053))))) (let ((_let_723 (forall ((BOUND_VARIABLE_36045 tptp.pname)) (= (@ tptp.hoare_Mirabelle_MGT (@ tptp.the_com (@ tptp.body BOUND_VARIABLE_36045))) (ll_181 BOUND_VARIABLE_36045))))) (let ((_let_724 (forall ((BOUND_VARIABLE_36040 tptp.pname)) (= tptp.none_com (ll_180 BOUND_VARIABLE_36040))))) (let ((_let_725 (forall ((BOUND_VARIABLE_36031 (-> tptp.pname tptp.option_com)) (BOUND_VARIABLE_36032 tptp.pname)) (= (not (= tptp.none_com (@ BOUND_VARIABLE_36031 BOUND_VARIABLE_36032))) (ll_179 BOUND_VARIABLE_36031 BOUND_VARIABLE_36032))))) (let ((_let_726 (forall ((BOUND_VARIABLE_36016 (-> tptp.pname tptp.hoare_1708887482_state)) (BOUND_VARIABLE_36017 tptp.pname) (BOUND_VARIABLE_36018 tptp.hoare_1708887482_state)) (= (ll_178 BOUND_VARIABLE_36016 BOUND_VARIABLE_36017 BOUND_VARIABLE_36018) (@ (@ (@ tptp.insert528405184_state (@ BOUND_VARIABLE_36016 BOUND_VARIABLE_36017)) (@ tptp.collec1568722789_state ll_2)) BOUND_VARIABLE_36018))))) (let ((_let_727 (forall ((BOUND_VARIABLE_35999 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_36000 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_36001 (-> tptp.hoare_1708887482_state Bool))) (= (ll_177 BOUND_VARIABLE_35999 BOUND_VARIABLE_36000 BOUND_VARIABLE_36001) (@ (@ (@ tptp.minus_548038231te_o_o BOUND_VARIABLE_36000) (@ (@ tptp.insert949073679tate_o BOUND_VARIABLE_35999) (@ tptp.collec219771562tate_o ll_10))) BOUND_VARIABLE_36001))))) (let ((_let_728 (forall ((BOUND_VARIABLE_35982 (-> tptp.pname Bool)) (BOUND_VARIABLE_35983 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35984 (-> tptp.pname Bool))) (= (ll_176 BOUND_VARIABLE_35982 BOUND_VARIABLE_35983 BOUND_VARIABLE_35984) (@ (@ (@ tptp.minus_1480864103me_o_o BOUND_VARIABLE_35983) (@ (@ tptp.insert_pname_o BOUND_VARIABLE_35982) (@ tptp.collect_pname_o ll_9))) BOUND_VARIABLE_35984))))) (let ((_let_729 (forall ((BOUND_VARIABLE_35965 tptp.hoare_1708887482_state) (BOUND_VARIABLE_35966 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35967 tptp.hoare_1708887482_state)) (= (ll_175 BOUND_VARIABLE_35965 BOUND_VARIABLE_35966 BOUND_VARIABLE_35967) (@ (@ (@ tptp.minus_2056855718tate_o BOUND_VARIABLE_35966) (@ (@ tptp.insert528405184_state BOUND_VARIABLE_35965) (@ tptp.collec1568722789_state ll_2))) BOUND_VARIABLE_35967))))) (let ((_let_730 (forall ((BOUND_VARIABLE_35948 tptp.pname) (BOUND_VARIABLE_35949 (-> tptp.pname Bool)) (BOUND_VARIABLE_35950 tptp.pname)) (= (ll_174 BOUND_VARIABLE_35948 BOUND_VARIABLE_35949 BOUND_VARIABLE_35950) (@ (@ (@ tptp.minus_minus_pname_o BOUND_VARIABLE_35949) (@ (@ tptp.insert_pname BOUND_VARIABLE_35948) (@ tptp.collect_pname ll_7))) BOUND_VARIABLE_35950))))) (let ((_let_731 (forall ((BOUND_VARIABLE_35931 tptp.com) (BOUND_VARIABLE_35932 (-> tptp.com Bool)) (BOUND_VARIABLE_35933 tptp.com)) (= (ll_173 BOUND_VARIABLE_35931 BOUND_VARIABLE_35932 BOUND_VARIABLE_35933) (@ (@ (@ tptp.minus_minus_com_o BOUND_VARIABLE_35932) (@ (@ tptp.insert_com BOUND_VARIABLE_35931) (@ tptp.collect_com ll_8))) BOUND_VARIABLE_35933))))) (let ((_let_732 (forall ((BOUND_VARIABLE_35926 tptp.pname)) (= tptp.none_com (ll_172 BOUND_VARIABLE_35926))))) (let ((_let_733 (forall ((BOUND_VARIABLE_35909 tptp.hoare_1708887482_state) (BOUND_VARIABLE_35910 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35911 tptp.hoare_1708887482_state)) (= (ll_171 BOUND_VARIABLE_35909 BOUND_VARIABLE_35910 BOUND_VARIABLE_35911) (@ (@ (@ tptp.minus_2056855718tate_o BOUND_VARIABLE_35910) (@ (@ tptp.insert528405184_state BOUND_VARIABLE_35909) (@ tptp.collec1568722789_state ll_2))) BOUND_VARIABLE_35911))))) (let ((_let_734 (forall ((BOUND_VARIABLE_35892 tptp.pname) (BOUND_VARIABLE_35893 (-> tptp.pname Bool)) (BOUND_VARIABLE_35894 tptp.pname)) (= (ll_170 BOUND_VARIABLE_35892 BOUND_VARIABLE_35893 BOUND_VARIABLE_35894) (@ (@ (@ tptp.minus_minus_pname_o BOUND_VARIABLE_35893) (@ (@ tptp.insert_pname BOUND_VARIABLE_35892) (@ tptp.collect_pname ll_7))) BOUND_VARIABLE_35894))))) (let ((_let_735 (forall ((BOUND_VARIABLE_35875 tptp.com) (BOUND_VARIABLE_35876 (-> tptp.com Bool)) (BOUND_VARIABLE_35877 tptp.com)) (= (ll_169 BOUND_VARIABLE_35875 BOUND_VARIABLE_35876 BOUND_VARIABLE_35877) (@ (@ (@ tptp.minus_minus_com_o BOUND_VARIABLE_35876) (@ (@ tptp.insert_com BOUND_VARIABLE_35875) (@ tptp.collect_com ll_8))) BOUND_VARIABLE_35877))))) (let ((_let_736 (forall ((BOUND_VARIABLE_35857 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35858 tptp.hoare_1708887482_state) (BOUND_VARIABLE_35859 tptp.hoare_1708887482_state)) (= (ll_168 BOUND_VARIABLE_35857 BOUND_VARIABLE_35858 BOUND_VARIABLE_35859) (@ (@ tptp.member451959335_state BOUND_VARIABLE_35859) (@ (@ tptp.minus_2056855718tate_o BOUND_VARIABLE_35857) (@ (@ tptp.insert528405184_state BOUND_VARIABLE_35858) (@ tptp.collec1568722789_state ll_2)))))))) (let ((_let_737 (forall ((BOUND_VARIABLE_35839 (-> tptp.pname Bool)) (BOUND_VARIABLE_35840 tptp.pname) (BOUND_VARIABLE_35841 tptp.pname)) (= (ll_167 BOUND_VARIABLE_35839 BOUND_VARIABLE_35840 BOUND_VARIABLE_35841) (@ (@ tptp.member_pname BOUND_VARIABLE_35841) (@ (@ tptp.minus_minus_pname_o BOUND_VARIABLE_35839) (@ (@ tptp.insert_pname BOUND_VARIABLE_35840) (@ tptp.collect_pname ll_7)))))))) (let ((_let_738 (forall ((BOUND_VARIABLE_35821 (-> tptp.com Bool)) (BOUND_VARIABLE_35822 tptp.com) (BOUND_VARIABLE_35823 tptp.com)) (= (ll_166 BOUND_VARIABLE_35821 BOUND_VARIABLE_35822 BOUND_VARIABLE_35823) (@ (@ tptp.member_com BOUND_VARIABLE_35823) (@ (@ tptp.minus_minus_com_o BOUND_VARIABLE_35821) (@ (@ tptp.insert_com BOUND_VARIABLE_35822) (@ tptp.collect_com ll_8)))))))) (let ((_let_739 (forall ((BOUND_VARIABLE_35809 (-> tptp.pname Bool)) (BOUND_VARIABLE_35810 (-> tptp.pname tptp.option_com)) (BOUND_VARIABLE_35811 tptp.pname)) (= (@ (@ tptp.member_pname BOUND_VARIABLE_35811) (@ (@ tptp.minus_minus_pname_o BOUND_VARIABLE_35809) (@ tptp.dom_pname_com BOUND_VARIABLE_35810))) (ll_165 BOUND_VARIABLE_35809 BOUND_VARIABLE_35810 BOUND_VARIABLE_35811))))) (let ((_let_740 (forall ((BOUND_VARIABLE_35797 (-> tptp.pname Bool)) (BOUND_VARIABLE_35798 (-> tptp.pname tptp.option_com)) (BOUND_VARIABLE_35799 tptp.pname)) (= (@ (@ tptp.member_pname BOUND_VARIABLE_35799) (@ (@ tptp.semila1673364395name_o BOUND_VARIABLE_35797) (@ tptp.dom_pname_com BOUND_VARIABLE_35798))) (ll_164 BOUND_VARIABLE_35797 BOUND_VARIABLE_35798 BOUND_VARIABLE_35799))))) (let ((_let_741 (forall ((BOUND_VARIABLE_35783 (-> tptp.pname Bool)) (BOUND_VARIABLE_35784 (-> tptp.pname tptp.option_com)) (BOUND_VARIABLE_35785 (-> tptp.pname tptp.option_com)) (BOUND_VARIABLE_35786 tptp.pname)) (= (@ (@ (@ tptp.if_option_com (@ BOUND_VARIABLE_35783 BOUND_VARIABLE_35786)) (@ BOUND_VARIABLE_35784 BOUND_VARIABLE_35786)) (@ BOUND_VARIABLE_35785 BOUND_VARIABLE_35786)) (ll_163 BOUND_VARIABLE_35783 BOUND_VARIABLE_35784 BOUND_VARIABLE_35785 BOUND_VARIABLE_35786))))) (let ((_let_742 (forall ((BOUND_VARIABLE_35775 (-> tptp.pname Bool)) (BOUND_VARIABLE_35776 tptp.pname)) (= (not (@ BOUND_VARIABLE_35775 BOUND_VARIABLE_35776)) (ll_162 BOUND_VARIABLE_35775 BOUND_VARIABLE_35776))))) (let ((_let_743 (forall ((BOUND_VARIABLE_35761 (-> tptp.pname Bool)) (BOUND_VARIABLE_35762 (-> tptp.pname tptp.hoare_1708887482_state)) (BOUND_VARIABLE_35763 (-> tptp.pname tptp.hoare_1708887482_state)) (BOUND_VARIABLE_35764 tptp.pname)) (= (@ (@ (@ tptp.if_Hoa1374726218_state (@ BOUND_VARIABLE_35761 BOUND_VARIABLE_35764)) (@ BOUND_VARIABLE_35762 BOUND_VARIABLE_35764)) (@ BOUND_VARIABLE_35763 BOUND_VARIABLE_35764)) (ll_161 BOUND_VARIABLE_35761 BOUND_VARIABLE_35762 BOUND_VARIABLE_35763 BOUND_VARIABLE_35764))))) (let ((_let_744 (forall ((BOUND_VARIABLE_35753 (-> tptp.pname Bool)) (BOUND_VARIABLE_35754 tptp.pname)) (= (not (@ BOUND_VARIABLE_35753 BOUND_VARIABLE_35754)) (ll_160 BOUND_VARIABLE_35753 BOUND_VARIABLE_35754))))) (let ((_let_745 (forall ((BOUND_VARIABLE_35743 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35744 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35745 (-> tptp.hoare_1708887482_state Bool))) (= (and (@ BOUND_VARIABLE_35743 BOUND_VARIABLE_35745) (@ BOUND_VARIABLE_35744 BOUND_VARIABLE_35745)) (ll_159 BOUND_VARIABLE_35743 BOUND_VARIABLE_35744 BOUND_VARIABLE_35745))))) (let ((_let_746 (forall ((BOUND_VARIABLE_35733 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35734 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35735 (-> tptp.pname Bool))) (= (and (@ BOUND_VARIABLE_35733 BOUND_VARIABLE_35735) (@ BOUND_VARIABLE_35734 BOUND_VARIABLE_35735)) (ll_158 BOUND_VARIABLE_35733 BOUND_VARIABLE_35734 BOUND_VARIABLE_35735))))) (let ((_let_747 (forall ((BOUND_VARIABLE_35723 (-> tptp.pname Bool)) (BOUND_VARIABLE_35724 (-> tptp.pname Bool)) (BOUND_VARIABLE_35725 tptp.pname)) (= (and (@ BOUND_VARIABLE_35723 BOUND_VARIABLE_35725) (@ BOUND_VARIABLE_35724 BOUND_VARIABLE_35725)) (ll_157 BOUND_VARIABLE_35723 BOUND_VARIABLE_35724 BOUND_VARIABLE_35725))))) (let ((_let_748 (forall ((BOUND_VARIABLE_35713 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35714 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35715 tptp.hoare_1708887482_state)) (= (and (@ BOUND_VARIABLE_35713 BOUND_VARIABLE_35715) (@ BOUND_VARIABLE_35714 BOUND_VARIABLE_35715)) (ll_156 BOUND_VARIABLE_35713 BOUND_VARIABLE_35714 BOUND_VARIABLE_35715))))) (let ((_let_749 (forall ((BOUND_VARIABLE_35701 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35702 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35703 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o BOUND_VARIABLE_35703))) (= (and (@ _let_1 BOUND_VARIABLE_35701) (not (@ _let_1 BOUND_VARIABLE_35702))) (ll_155 BOUND_VARIABLE_35701 BOUND_VARIABLE_35702 BOUND_VARIABLE_35703)))))) (let ((_let_750 (forall ((BOUND_VARIABLE_35689 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35690 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35691 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname_o BOUND_VARIABLE_35691))) (= (and (@ _let_1 BOUND_VARIABLE_35689) (not (@ _let_1 BOUND_VARIABLE_35690))) (ll_154 BOUND_VARIABLE_35689 BOUND_VARIABLE_35690 BOUND_VARIABLE_35691)))))) (let ((_let_751 (forall ((BOUND_VARIABLE_35677 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35678 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35679 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state BOUND_VARIABLE_35679))) (= (and (@ _let_1 BOUND_VARIABLE_35677) (not (@ _let_1 BOUND_VARIABLE_35678))) (ll_153 BOUND_VARIABLE_35677 BOUND_VARIABLE_35678 BOUND_VARIABLE_35679)))))) (let ((_let_752 (forall ((BOUND_VARIABLE_35665 (-> tptp.pname Bool)) (BOUND_VARIABLE_35666 (-> tptp.pname Bool)) (BOUND_VARIABLE_35667 tptp.pname)) (let ((_let_1 (@ tptp.member_pname BOUND_VARIABLE_35667))) (= (and (@ _let_1 BOUND_VARIABLE_35665) (not (@ _let_1 BOUND_VARIABLE_35666))) (ll_152 BOUND_VARIABLE_35665 BOUND_VARIABLE_35666 BOUND_VARIABLE_35667)))))) (let ((_let_753 (forall ((BOUND_VARIABLE_35653 (-> tptp.com Bool)) (BOUND_VARIABLE_35654 (-> tptp.com Bool)) (BOUND_VARIABLE_35655 tptp.com)) (let ((_let_1 (@ tptp.member_com BOUND_VARIABLE_35655))) (= (and (@ _let_1 BOUND_VARIABLE_35653) (not (@ _let_1 BOUND_VARIABLE_35654))) (ll_151 BOUND_VARIABLE_35653 BOUND_VARIABLE_35654 BOUND_VARIABLE_35655)))))) (let ((_let_754 (forall ((BOUND_VARIABLE_35642 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35643 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35644 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o BOUND_VARIABLE_35644))) (= (and (@ _let_1 BOUND_VARIABLE_35642) (@ _let_1 BOUND_VARIABLE_35643)) (ll_150 BOUND_VARIABLE_35642 BOUND_VARIABLE_35643 BOUND_VARIABLE_35644)))))) (let ((_let_755 (forall ((BOUND_VARIABLE_35631 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35632 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35633 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname_o BOUND_VARIABLE_35633))) (= (and (@ _let_1 BOUND_VARIABLE_35631) (@ _let_1 BOUND_VARIABLE_35632)) (ll_149 BOUND_VARIABLE_35631 BOUND_VARIABLE_35632 BOUND_VARIABLE_35633)))))) (let ((_let_756 (forall ((BOUND_VARIABLE_35620 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35621 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35622 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state BOUND_VARIABLE_35622))) (= (and (@ _let_1 BOUND_VARIABLE_35620) (@ _let_1 BOUND_VARIABLE_35621)) (ll_148 BOUND_VARIABLE_35620 BOUND_VARIABLE_35621 BOUND_VARIABLE_35622)))))) (let ((_let_757 (forall ((BOUND_VARIABLE_35609 (-> tptp.pname Bool)) (BOUND_VARIABLE_35610 (-> tptp.pname Bool)) (BOUND_VARIABLE_35611 tptp.pname)) (let ((_let_1 (@ tptp.member_pname BOUND_VARIABLE_35611))) (= (and (@ _let_1 BOUND_VARIABLE_35609) (@ _let_1 BOUND_VARIABLE_35610)) (ll_147 BOUND_VARIABLE_35609 BOUND_VARIABLE_35610 BOUND_VARIABLE_35611)))))) (let ((_let_758 (forall ((BOUND_VARIABLE_35598 (-> tptp.com Bool)) (BOUND_VARIABLE_35599 (-> tptp.com Bool)) (BOUND_VARIABLE_35600 tptp.com)) (let ((_let_1 (@ tptp.member_com BOUND_VARIABLE_35600))) (= (and (@ _let_1 BOUND_VARIABLE_35598) (@ _let_1 BOUND_VARIABLE_35599)) (ll_146 BOUND_VARIABLE_35598 BOUND_VARIABLE_35599 BOUND_VARIABLE_35600)))))) (let ((_let_759 (forall ((BOUND_VARIABLE_35590 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35591 tptp.hoare_1708887482_state)) (= (@ (@ tptp.member451959335_state BOUND_VARIABLE_35591) BOUND_VARIABLE_35590) (ll_145 BOUND_VARIABLE_35590 BOUND_VARIABLE_35591))))) (let ((_let_760 (forall ((BOUND_VARIABLE_35582 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35583 tptp.hoare_1708887482_state)) (= (@ (@ tptp.member451959335_state BOUND_VARIABLE_35583) BOUND_VARIABLE_35582) (ll_144 BOUND_VARIABLE_35582 BOUND_VARIABLE_35583))))) (let ((_let_761 (forall ((BOUND_VARIABLE_35574 (-> tptp.pname Bool)) (BOUND_VARIABLE_35575 tptp.pname)) (= (@ (@ tptp.member_pname BOUND_VARIABLE_35575) BOUND_VARIABLE_35574) (ll_143 BOUND_VARIABLE_35574 BOUND_VARIABLE_35575))))) (let ((_let_762 (forall ((BOUND_VARIABLE_35566 (-> tptp.pname Bool)) (BOUND_VARIABLE_35567 tptp.pname)) (= (@ (@ tptp.member_pname BOUND_VARIABLE_35567) BOUND_VARIABLE_35566) (ll_142 BOUND_VARIABLE_35566 BOUND_VARIABLE_35567))))) (let ((_let_763 (forall ((BOUND_VARIABLE_35558 (-> tptp.com Bool)) (BOUND_VARIABLE_35559 tptp.com)) (= (@ (@ tptp.member_com BOUND_VARIABLE_35559) BOUND_VARIABLE_35558) (ll_141 BOUND_VARIABLE_35558 BOUND_VARIABLE_35559))))) (let ((_let_764 (forall ((BOUND_VARIABLE_35550 (-> tptp.com Bool)) (BOUND_VARIABLE_35551 tptp.com)) (= (@ (@ tptp.member_com BOUND_VARIABLE_35551) BOUND_VARIABLE_35550) (ll_140 BOUND_VARIABLE_35550 BOUND_VARIABLE_35551))))) (let ((_let_765 (forall ((BOUND_VARIABLE_35536 tptp.com) (BOUND_VARIABLE_35537 tptp.state) (BOUND_VARIABLE_35538 tptp.state)) (= (ll_139 BOUND_VARIABLE_35536 BOUND_VARIABLE_35537 BOUND_VARIABLE_35538) (forall ((S1 tptp.state)) (or (not (@ (@ (@ tptp.evalc BOUND_VARIABLE_35536) BOUND_VARIABLE_35538) S1)) (= S1 BOUND_VARIABLE_35537))))))) (let ((_let_766 (forall ((BOUND_VARIABLE_35522 tptp.com) (BOUND_VARIABLE_35523 tptp.state) (BOUND_VARIABLE_35524 tptp.state)) (= (ll_138 BOUND_VARIABLE_35522 BOUND_VARIABLE_35523 BOUND_VARIABLE_35524) (forall ((S1 tptp.state)) (or (not (@ (@ (@ tptp.evalc BOUND_VARIABLE_35522) BOUND_VARIABLE_35524) S1)) (= S1 BOUND_VARIABLE_35523))))))) (let ((_let_767 (forall ((BOUND_VARIABLE_35509 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35510 tptp.hoare_1708887482_state)) (= (ll_137 BOUND_VARIABLE_35509 BOUND_VARIABLE_35510) (= BOUND_VARIABLE_35509 (@ (@ tptp.insert528405184_state BOUND_VARIABLE_35510) (@ tptp.collec1568722789_state ll_2))))))) (let ((_let_768 (forall ((BOUND_VARIABLE_35496 (-> tptp.pname Bool)) (BOUND_VARIABLE_35497 tptp.pname)) (= (ll_136 BOUND_VARIABLE_35496 BOUND_VARIABLE_35497) (= BOUND_VARIABLE_35496 (@ (@ tptp.insert_pname BOUND_VARIABLE_35497) (@ tptp.collect_pname ll_7))))))) (let ((_let_769 (forall ((BOUND_VARIABLE_35483 (-> tptp.com Bool)) (BOUND_VARIABLE_35484 tptp.com)) (= (ll_135 BOUND_VARIABLE_35483 BOUND_VARIABLE_35484) (= BOUND_VARIABLE_35483 (@ (@ tptp.insert_com BOUND_VARIABLE_35484) (@ tptp.collect_com ll_8))))))) (let ((_let_770 (forall ((BOUND_VARIABLE_35470 (-> tptp.state tptp.state Bool)) (BOUND_VARIABLE_35471 (-> tptp.state Bool)) (BOUND_VARIABLE_35472 tptp.state) (BOUND_VARIABLE_35473 tptp.state)) (= (and (@ (@ BOUND_VARIABLE_35470 BOUND_VARIABLE_35472) BOUND_VARIABLE_35473) (not (@ BOUND_VARIABLE_35471 BOUND_VARIABLE_35473))) (ll_134 BOUND_VARIABLE_35470 BOUND_VARIABLE_35471 BOUND_VARIABLE_35472 BOUND_VARIABLE_35473))))) (let ((_let_771 (forall ((BOUND_VARIABLE_35462 (-> tptp.pname Bool)) (BOUND_VARIABLE_35463 tptp.pname)) (= (@ (@ tptp.member_pname BOUND_VARIABLE_35463) BOUND_VARIABLE_35462) (ll_133 BOUND_VARIABLE_35462 BOUND_VARIABLE_35463))))) (let ((_let_772 (forall ((BOUND_VARIABLE_35454 (-> tptp.pname Bool)) (BOUND_VARIABLE_35455 tptp.pname)) (= (@ (@ tptp.member_pname BOUND_VARIABLE_35455) BOUND_VARIABLE_35454) (ll_132 BOUND_VARIABLE_35454 BOUND_VARIABLE_35455))))) (let ((_let_773 (forall ((BOUND_VARIABLE_35446 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35447 tptp.hoare_1708887482_state)) (= (@ (@ tptp.member451959335_state BOUND_VARIABLE_35447) BOUND_VARIABLE_35446) (ll_131 BOUND_VARIABLE_35446 BOUND_VARIABLE_35447))))) (let ((_let_774 (forall ((BOUND_VARIABLE_35438 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35439 tptp.hoare_1708887482_state)) (= (@ (@ tptp.member451959335_state BOUND_VARIABLE_35439) BOUND_VARIABLE_35438) (ll_130 BOUND_VARIABLE_35438 BOUND_VARIABLE_35439))))) (let ((_let_775 (forall ((BOUND_VARIABLE_35430 (-> tptp.com Bool)) (BOUND_VARIABLE_35431 tptp.com)) (= (@ (@ tptp.member_com BOUND_VARIABLE_35431) BOUND_VARIABLE_35430) (ll_129 BOUND_VARIABLE_35430 BOUND_VARIABLE_35431))))) (let ((_let_776 (forall ((BOUND_VARIABLE_35422 (-> tptp.com Bool)) (BOUND_VARIABLE_35423 tptp.com)) (= (@ (@ tptp.member_com BOUND_VARIABLE_35423) BOUND_VARIABLE_35422) (ll_128 BOUND_VARIABLE_35422 BOUND_VARIABLE_35423))))) (let ((_let_777 (forall ((BOUND_VARIABLE_35414 (-> tptp.pname Bool)) (BOUND_VARIABLE_35415 tptp.pname)) (= (@ (@ tptp.member_pname BOUND_VARIABLE_35415) BOUND_VARIABLE_35414) (ll_127 BOUND_VARIABLE_35414 BOUND_VARIABLE_35415))))) (let ((_let_778 (forall ((BOUND_VARIABLE_35406 (-> tptp.pname Bool)) (BOUND_VARIABLE_35407 tptp.pname)) (= (@ (@ tptp.member_pname BOUND_VARIABLE_35407) BOUND_VARIABLE_35406) (ll_126 BOUND_VARIABLE_35406 BOUND_VARIABLE_35407))))) (let ((_let_779 (forall ((BOUND_VARIABLE_35398 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35399 tptp.hoare_1708887482_state)) (= (@ (@ tptp.member451959335_state BOUND_VARIABLE_35399) BOUND_VARIABLE_35398) (ll_125 BOUND_VARIABLE_35398 BOUND_VARIABLE_35399))))) (let ((_let_780 (forall ((BOUND_VARIABLE_35390 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35391 tptp.hoare_1708887482_state)) (= (@ (@ tptp.member451959335_state BOUND_VARIABLE_35391) BOUND_VARIABLE_35390) (ll_124 BOUND_VARIABLE_35390 BOUND_VARIABLE_35391))))) (let ((_let_781 (forall ((BOUND_VARIABLE_35382 (-> tptp.com Bool)) (BOUND_VARIABLE_35383 tptp.com)) (= (@ (@ tptp.member_com BOUND_VARIABLE_35383) BOUND_VARIABLE_35382) (ll_123 BOUND_VARIABLE_35382 BOUND_VARIABLE_35383))))) (let ((_let_782 (forall ((BOUND_VARIABLE_35374 (-> tptp.com Bool)) (BOUND_VARIABLE_35375 tptp.com)) (= (@ (@ tptp.member_com BOUND_VARIABLE_35375) BOUND_VARIABLE_35374) (ll_122 BOUND_VARIABLE_35374 BOUND_VARIABLE_35375))))) (let ((_let_783 (forall ((BOUND_VARIABLE_35361 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35362 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35363 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35361 BOUND_VARIABLE_35363)) (@ tptp.body_1 BOUND_VARIABLE_35363)) (@ BOUND_VARIABLE_35362 BOUND_VARIABLE_35363)) (ll_121 BOUND_VARIABLE_35361 BOUND_VARIABLE_35362 BOUND_VARIABLE_35363))))) (let ((_let_784 (forall ((BOUND_VARIABLE_35347 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35348 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35349 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35347 BOUND_VARIABLE_35349)) (@ tptp.the_com (@ tptp.body BOUND_VARIABLE_35349))) (@ BOUND_VARIABLE_35348 BOUND_VARIABLE_35349)) (ll_120 BOUND_VARIABLE_35347 BOUND_VARIABLE_35348 BOUND_VARIABLE_35349))))) (let ((_let_785 (forall ((BOUND_VARIABLE_35334 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35335 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35336 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35334 BOUND_VARIABLE_35336)) (@ tptp.body_1 BOUND_VARIABLE_35336)) (@ BOUND_VARIABLE_35335 BOUND_VARIABLE_35336)) (ll_119 BOUND_VARIABLE_35334 BOUND_VARIABLE_35335 BOUND_VARIABLE_35336))))) (let ((_let_786 (forall ((BOUND_VARIABLE_35326 tptp.state) (BOUND_VARIABLE_35327 tptp.state) (BOUND_VARIABLE_35328 tptp.state)) (= (= BOUND_VARIABLE_35326 BOUND_VARIABLE_35328) (ll_118 BOUND_VARIABLE_35326 BOUND_VARIABLE_35327 BOUND_VARIABLE_35328))))) (let ((_let_787 (forall ((BOUND_VARIABLE_35316 (-> tptp.state tptp.state Bool)) (BOUND_VARIABLE_35317 tptp.state) (BOUND_VARIABLE_35318 tptp.state) (BOUND_VARIABLE_35319 tptp.state)) (= (@ (@ BOUND_VARIABLE_35316 BOUND_VARIABLE_35317) BOUND_VARIABLE_35319) (ll_117 BOUND_VARIABLE_35316 BOUND_VARIABLE_35317 BOUND_VARIABLE_35318 BOUND_VARIABLE_35319))))) (let ((_let_788 (forall ((BOUND_VARIABLE_35302 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35303 (-> tptp.pname tptp.com)) (BOUND_VARIABLE_35304 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35305 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35302 BOUND_VARIABLE_35305)) (@ BOUND_VARIABLE_35303 BOUND_VARIABLE_35305)) (@ BOUND_VARIABLE_35304 BOUND_VARIABLE_35305)) (ll_116 BOUND_VARIABLE_35302 BOUND_VARIABLE_35303 BOUND_VARIABLE_35304 BOUND_VARIABLE_35305))))) (let ((_let_789 (forall ((BOUND_VARIABLE_35288 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35289 (-> tptp.pname tptp.com)) (BOUND_VARIABLE_35290 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35291 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35288 BOUND_VARIABLE_35291)) (@ BOUND_VARIABLE_35289 BOUND_VARIABLE_35291)) (@ BOUND_VARIABLE_35290 BOUND_VARIABLE_35291)) (ll_115 BOUND_VARIABLE_35288 BOUND_VARIABLE_35289 BOUND_VARIABLE_35290 BOUND_VARIABLE_35291))))) (let ((_let_790 (forall ((BOUND_VARIABLE_35274 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (BOUND_VARIABLE_35275 (-> (-> tptp.hoare_1708887482_state Bool) tptp.com)) (BOUND_VARIABLE_35276 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (BOUND_VARIABLE_35277 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35274 BOUND_VARIABLE_35277)) (@ BOUND_VARIABLE_35275 BOUND_VARIABLE_35277)) (@ BOUND_VARIABLE_35276 BOUND_VARIABLE_35277)) (ll_114 BOUND_VARIABLE_35274 BOUND_VARIABLE_35275 BOUND_VARIABLE_35276 BOUND_VARIABLE_35277))))) (let ((_let_791 (forall ((BOUND_VARIABLE_35260 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (BOUND_VARIABLE_35261 (-> (-> tptp.hoare_1708887482_state Bool) tptp.com)) (BOUND_VARIABLE_35262 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (BOUND_VARIABLE_35263 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35260 BOUND_VARIABLE_35263)) (@ BOUND_VARIABLE_35261 BOUND_VARIABLE_35263)) (@ BOUND_VARIABLE_35262 BOUND_VARIABLE_35263)) (ll_113 BOUND_VARIABLE_35260 BOUND_VARIABLE_35261 BOUND_VARIABLE_35262 BOUND_VARIABLE_35263))))) (let ((_let_792 (forall ((BOUND_VARIABLE_35246 (-> (-> tptp.pname Bool) tptp.state tptp.state Bool)) (BOUND_VARIABLE_35247 (-> (-> tptp.pname Bool) tptp.com)) (BOUND_VARIABLE_35248 (-> (-> tptp.pname Bool) tptp.state tptp.state Bool)) (BOUND_VARIABLE_35249 (-> tptp.pname Bool))) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35246 BOUND_VARIABLE_35249)) (@ BOUND_VARIABLE_35247 BOUND_VARIABLE_35249)) (@ BOUND_VARIABLE_35248 BOUND_VARIABLE_35249)) (ll_112 BOUND_VARIABLE_35246 BOUND_VARIABLE_35247 BOUND_VARIABLE_35248 BOUND_VARIABLE_35249))))) (let ((_let_793 (forall ((BOUND_VARIABLE_35232 (-> (-> tptp.pname Bool) tptp.state tptp.state Bool)) (BOUND_VARIABLE_35233 (-> (-> tptp.pname Bool) tptp.com)) (BOUND_VARIABLE_35234 (-> (-> tptp.pname Bool) tptp.state tptp.state Bool)) (BOUND_VARIABLE_35235 (-> tptp.pname Bool))) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35232 BOUND_VARIABLE_35235)) (@ BOUND_VARIABLE_35233 BOUND_VARIABLE_35235)) (@ BOUND_VARIABLE_35234 BOUND_VARIABLE_35235)) (ll_111 BOUND_VARIABLE_35232 BOUND_VARIABLE_35233 BOUND_VARIABLE_35234 BOUND_VARIABLE_35235))))) (let ((_let_794 (forall ((BOUND_VARIABLE_35219 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35220 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35221 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35219 BOUND_VARIABLE_35221)) (@ tptp.body_1 BOUND_VARIABLE_35221)) (@ BOUND_VARIABLE_35220 BOUND_VARIABLE_35221)) (ll_110 BOUND_VARIABLE_35219 BOUND_VARIABLE_35220 BOUND_VARIABLE_35221))))) (let ((_let_795 (forall ((BOUND_VARIABLE_35205 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35206 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35207 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35205 BOUND_VARIABLE_35207)) (@ tptp.the_com (@ tptp.body BOUND_VARIABLE_35207))) (@ BOUND_VARIABLE_35206 BOUND_VARIABLE_35207)) (ll_109 BOUND_VARIABLE_35205 BOUND_VARIABLE_35206 BOUND_VARIABLE_35207))))) (let ((_let_796 (forall ((BOUND_VARIABLE_35199 tptp.state) (BOUND_VARIABLE_35200 tptp.state)) (not (ll_108 BOUND_VARIABLE_35199 BOUND_VARIABLE_35200))))) (let ((_let_797 (forall ((BOUND_VARIABLE_35188 (-> tptp.state tptp.state Bool)) (BOUND_VARIABLE_35189 Bool) (BOUND_VARIABLE_35190 tptp.state) (BOUND_VARIABLE_35191 tptp.state)) (= (and (@ (@ BOUND_VARIABLE_35188 BOUND_VARIABLE_35190) BOUND_VARIABLE_35191) BOUND_VARIABLE_35189) (ll_107 BOUND_VARIABLE_35188 BOUND_VARIABLE_35189 BOUND_VARIABLE_35190 BOUND_VARIABLE_35191))))) (let ((_let_798 (forall ((BOUND_VARIABLE_35175 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35176 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35177 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35175 BOUND_VARIABLE_35177)) (@ tptp.body_1 BOUND_VARIABLE_35177)) (@ BOUND_VARIABLE_35176 BOUND_VARIABLE_35177)) (ll_106 BOUND_VARIABLE_35175 BOUND_VARIABLE_35176 BOUND_VARIABLE_35177))))) (let ((_let_799 (forall ((BOUND_VARIABLE_35161 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35162 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35163 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35161 BOUND_VARIABLE_35163)) (@ tptp.the_com (@ tptp.body BOUND_VARIABLE_35163))) (@ BOUND_VARIABLE_35162 BOUND_VARIABLE_35163)) (ll_105 BOUND_VARIABLE_35161 BOUND_VARIABLE_35162 BOUND_VARIABLE_35163))))) (let ((_let_800 (forall ((BOUND_VARIABLE_35148 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35149 (-> tptp.pname tptp.state tptp.state Bool)) (BOUND_VARIABLE_35150 tptp.pname)) (= (@ (@ (@ tptp.hoare_858012674_state (@ BOUND_VARIABLE_35148 BOUND_VARIABLE_35150)) (@ tptp.body_1 BOUND_VARIABLE_35150)) (@ BOUND_VARIABLE_35149 BOUND_VARIABLE_35150)) (ll_104 BOUND_VARIABLE_35148 BOUND_VARIABLE_35149 BOUND_VARIABLE_35150))))) (let ((_let_801 (forall ((BOUND_VARIABLE_35141 tptp.hoare_1708887482_state) (BOUND_VARIABLE_35142 tptp.hoare_1708887482_state)) (= (= BOUND_VARIABLE_35141 BOUND_VARIABLE_35142) (ll_103 BOUND_VARIABLE_35141 BOUND_VARIABLE_35142))))) (let ((_let_802 (forall ((BOUND_VARIABLE_35134 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35135 (-> tptp.hoare_1708887482_state Bool))) (= (= BOUND_VARIABLE_35134 BOUND_VARIABLE_35135) (ll_102 BOUND_VARIABLE_35134 BOUND_VARIABLE_35135))))) (let ((_let_803 (forall ((BOUND_VARIABLE_35127 (-> tptp.pname Bool)) (BOUND_VARIABLE_35128 (-> tptp.pname Bool))) (= (= BOUND_VARIABLE_35127 BOUND_VARIABLE_35128) (ll_101 BOUND_VARIABLE_35127 BOUND_VARIABLE_35128))))) (let ((_let_804 (forall ((BOUND_VARIABLE_35120 tptp.com) (BOUND_VARIABLE_35121 tptp.com)) (= (= BOUND_VARIABLE_35120 BOUND_VARIABLE_35121) (ll_100 BOUND_VARIABLE_35120 BOUND_VARIABLE_35121))))) (let ((_let_805 (forall ((BOUND_VARIABLE_35113 tptp.pname) (BOUND_VARIABLE_35114 tptp.pname)) (= (= BOUND_VARIABLE_35113 BOUND_VARIABLE_35114) (ll_99 BOUND_VARIABLE_35113 BOUND_VARIABLE_35114))))) (let ((_let_806 (forall ((BOUND_VARIABLE_35103 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35104 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35105 tptp.hoare_1708887482_state)) (= (or (@ BOUND_VARIABLE_35103 BOUND_VARIABLE_35105) (@ BOUND_VARIABLE_35104 BOUND_VARIABLE_35105)) (ll_98 BOUND_VARIABLE_35103 BOUND_VARIABLE_35104 BOUND_VARIABLE_35105))))) (let ((_let_807 (forall ((BOUND_VARIABLE_35093 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35094 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35095 (-> tptp.hoare_1708887482_state Bool))) (= (or (@ BOUND_VARIABLE_35093 BOUND_VARIABLE_35095) (@ BOUND_VARIABLE_35094 BOUND_VARIABLE_35095)) (ll_97 BOUND_VARIABLE_35093 BOUND_VARIABLE_35094 BOUND_VARIABLE_35095))))) (let ((_let_808 (forall ((BOUND_VARIABLE_35083 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35084 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35085 (-> tptp.pname Bool))) (= (or (@ BOUND_VARIABLE_35083 BOUND_VARIABLE_35085) (@ BOUND_VARIABLE_35084 BOUND_VARIABLE_35085)) (ll_96 BOUND_VARIABLE_35083 BOUND_VARIABLE_35084 BOUND_VARIABLE_35085))))) (let ((_let_809 (forall ((BOUND_VARIABLE_35073 (-> tptp.pname Bool)) (BOUND_VARIABLE_35074 (-> tptp.pname Bool)) (BOUND_VARIABLE_35075 tptp.pname)) (= (or (@ BOUND_VARIABLE_35073 BOUND_VARIABLE_35075) (@ BOUND_VARIABLE_35074 BOUND_VARIABLE_35075)) (ll_95 BOUND_VARIABLE_35073 BOUND_VARIABLE_35074 BOUND_VARIABLE_35075))))) (let ((_let_810 (forall ((BOUND_VARIABLE_35062 (-> tptp.pname Bool)) (BOUND_VARIABLE_35063 (-> tptp.pname Bool)) (BOUND_VARIABLE_35064 tptp.pname)) (let ((_let_1 (@ tptp.member_pname BOUND_VARIABLE_35064))) (= (or (@ _let_1 BOUND_VARIABLE_35062) (@ _let_1 BOUND_VARIABLE_35063)) (ll_94 BOUND_VARIABLE_35062 BOUND_VARIABLE_35063 BOUND_VARIABLE_35064)))))) (let ((_let_811 (forall ((BOUND_VARIABLE_35051 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35052 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_35053 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state BOUND_VARIABLE_35053))) (= (or (@ _let_1 BOUND_VARIABLE_35051) (@ _let_1 BOUND_VARIABLE_35052)) (ll_93 BOUND_VARIABLE_35051 BOUND_VARIABLE_35052 BOUND_VARIABLE_35053)))))) (let ((_let_812 (forall ((BOUND_VARIABLE_35040 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35041 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_35042 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o BOUND_VARIABLE_35042))) (= (or (@ _let_1 BOUND_VARIABLE_35040) (@ _let_1 BOUND_VARIABLE_35041)) (ll_92 BOUND_VARIABLE_35040 BOUND_VARIABLE_35041 BOUND_VARIABLE_35042)))))) (let ((_let_813 (forall ((BOUND_VARIABLE_35029 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35030 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_35031 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname_o BOUND_VARIABLE_35031))) (= (or (@ _let_1 BOUND_VARIABLE_35029) (@ _let_1 BOUND_VARIABLE_35030)) (ll_91 BOUND_VARIABLE_35029 BOUND_VARIABLE_35030 BOUND_VARIABLE_35031)))))) (let ((_let_814 (forall ((BOUND_VARIABLE_35018 (-> tptp.com Bool)) (BOUND_VARIABLE_35019 (-> tptp.com Bool)) (BOUND_VARIABLE_35020 tptp.com)) (let ((_let_1 (@ tptp.member_com BOUND_VARIABLE_35020))) (= (or (@ _let_1 BOUND_VARIABLE_35018) (@ _let_1 BOUND_VARIABLE_35019)) (ll_90 BOUND_VARIABLE_35018 BOUND_VARIABLE_35019 BOUND_VARIABLE_35020)))))) (let ((_let_815 (forall ((BOUND_VARIABLE_35011 tptp.pname)) (= (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 BOUND_VARIABLE_35011)) (ll_89 BOUND_VARIABLE_35011))))) (let ((_let_816 (forall ((BOUND_VARIABLE_35003 tptp.pname)) (= (@ tptp.hoare_Mirabelle_MGT (@ tptp.the_com (@ tptp.body BOUND_VARIABLE_35003))) (ll_88 BOUND_VARIABLE_35003))))) (let ((_let_817 (forall ((BOUND_VARIABLE_34996 tptp.pname)) (= (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 BOUND_VARIABLE_34996)) (ll_87 BOUND_VARIABLE_34996))))) (let ((_let_818 (forall ((BOUND_VARIABLE_34982 (-> tptp.pname Bool)) (BOUND_VARIABLE_34983 (-> tptp.pname tptp.hoare_1708887482_state)) (BOUND_VARIABLE_34984 tptp.pname) (BOUND_VARIABLE_34985 tptp.pname)) (= (and (@ (@ tptp.member_pname BOUND_VARIABLE_34985) BOUND_VARIABLE_34982) (= (@ BOUND_VARIABLE_34983 BOUND_VARIABLE_34985) (@ BOUND_VARIABLE_34983 BOUND_VARIABLE_34984))) (ll_86 BOUND_VARIABLE_34982 BOUND_VARIABLE_34983 BOUND_VARIABLE_34984 BOUND_VARIABLE_34985))))) (let ((_let_819 (forall ((BOUND_VARIABLE_34968 (-> tptp.pname Bool)) (BOUND_VARIABLE_34969 (-> tptp.pname tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34970 tptp.pname) (BOUND_VARIABLE_34971 tptp.pname)) (= (and (@ (@ tptp.member_pname BOUND_VARIABLE_34971) BOUND_VARIABLE_34968) (= (@ BOUND_VARIABLE_34969 BOUND_VARIABLE_34971) (@ BOUND_VARIABLE_34969 BOUND_VARIABLE_34970))) (ll_85 BOUND_VARIABLE_34968 BOUND_VARIABLE_34969 BOUND_VARIABLE_34970 BOUND_VARIABLE_34971))))) (let ((_let_820 (forall ((BOUND_VARIABLE_34954 (-> tptp.pname Bool)) (BOUND_VARIABLE_34955 (-> tptp.pname tptp.pname Bool)) (BOUND_VARIABLE_34956 tptp.pname) (BOUND_VARIABLE_34957 tptp.pname)) (= (and (@ (@ tptp.member_pname BOUND_VARIABLE_34957) BOUND_VARIABLE_34954) (= (@ BOUND_VARIABLE_34955 BOUND_VARIABLE_34957) (@ BOUND_VARIABLE_34955 BOUND_VARIABLE_34956))) (ll_84 BOUND_VARIABLE_34954 BOUND_VARIABLE_34955 BOUND_VARIABLE_34956 BOUND_VARIABLE_34957))))) (let ((_let_821 (forall ((BOUND_VARIABLE_34940 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34941 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34942 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34943 tptp.hoare_1708887482_state)) (= (and (@ (@ tptp.member451959335_state BOUND_VARIABLE_34943) BOUND_VARIABLE_34940) (= (@ BOUND_VARIABLE_34941 BOUND_VARIABLE_34943) (@ BOUND_VARIABLE_34941 BOUND_VARIABLE_34942))) (ll_83 BOUND_VARIABLE_34940 BOUND_VARIABLE_34941 BOUND_VARIABLE_34942 BOUND_VARIABLE_34943))))) (let ((_let_822 (forall ((BOUND_VARIABLE_34926 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34927 (-> tptp.hoare_1708887482_state tptp.pname Bool)) (BOUND_VARIABLE_34928 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34929 tptp.hoare_1708887482_state)) (= (and (@ (@ tptp.member451959335_state BOUND_VARIABLE_34929) BOUND_VARIABLE_34926) (= (@ BOUND_VARIABLE_34927 BOUND_VARIABLE_34929) (@ BOUND_VARIABLE_34927 BOUND_VARIABLE_34928))) (ll_82 BOUND_VARIABLE_34926 BOUND_VARIABLE_34927 BOUND_VARIABLE_34928 BOUND_VARIABLE_34929))))) (let ((_let_823 (forall ((BOUND_VARIABLE_34912 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34913 (-> (-> tptp.hoare_1708887482_state Bool) tptp.pname)) (BOUND_VARIABLE_34914 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34915 (-> tptp.hoare_1708887482_state Bool))) (= (and (@ (@ tptp.member814030440tate_o BOUND_VARIABLE_34915) BOUND_VARIABLE_34912) (= (@ BOUND_VARIABLE_34913 BOUND_VARIABLE_34915) (@ BOUND_VARIABLE_34913 BOUND_VARIABLE_34914))) (ll_81 BOUND_VARIABLE_34912 BOUND_VARIABLE_34913 BOUND_VARIABLE_34914 BOUND_VARIABLE_34915))))) (let ((_let_824 (forall ((BOUND_VARIABLE_34898 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34899 (-> (-> tptp.pname Bool) tptp.pname)) (BOUND_VARIABLE_34900 (-> tptp.pname Bool)) (BOUND_VARIABLE_34901 (-> tptp.pname Bool))) (= (and (@ (@ tptp.member_pname_o BOUND_VARIABLE_34901) BOUND_VARIABLE_34898) (= (@ BOUND_VARIABLE_34899 BOUND_VARIABLE_34901) (@ BOUND_VARIABLE_34899 BOUND_VARIABLE_34900))) (ll_80 BOUND_VARIABLE_34898 BOUND_VARIABLE_34899 BOUND_VARIABLE_34900 BOUND_VARIABLE_34901))))) (let ((_let_825 (forall ((BOUND_VARIABLE_34884 (-> tptp.pname Bool)) (BOUND_VARIABLE_34885 (-> tptp.pname tptp.pname)) (BOUND_VARIABLE_34886 tptp.pname) (BOUND_VARIABLE_34887 tptp.pname)) (= (and (@ (@ tptp.member_pname BOUND_VARIABLE_34887) BOUND_VARIABLE_34884) (= (@ BOUND_VARIABLE_34885 BOUND_VARIABLE_34887) (@ BOUND_VARIABLE_34885 BOUND_VARIABLE_34886))) (ll_79 BOUND_VARIABLE_34884 BOUND_VARIABLE_34885 BOUND_VARIABLE_34886 BOUND_VARIABLE_34887))))) (let ((_let_826 (forall ((BOUND_VARIABLE_34870 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34871 (-> tptp.hoare_1708887482_state tptp.pname)) (BOUND_VARIABLE_34872 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34873 tptp.hoare_1708887482_state)) (= (and (@ (@ tptp.member451959335_state BOUND_VARIABLE_34873) BOUND_VARIABLE_34870) (= (@ BOUND_VARIABLE_34871 BOUND_VARIABLE_34873) (@ BOUND_VARIABLE_34871 BOUND_VARIABLE_34872))) (ll_78 BOUND_VARIABLE_34870 BOUND_VARIABLE_34871 BOUND_VARIABLE_34872 BOUND_VARIABLE_34873))))) (let ((_let_827 (forall ((BOUND_VARIABLE_34856 (-> tptp.com Bool)) (BOUND_VARIABLE_34857 (-> tptp.com tptp.pname)) (BOUND_VARIABLE_34858 tptp.com) (BOUND_VARIABLE_34859 tptp.com)) (= (and (@ (@ tptp.member_com BOUND_VARIABLE_34859) BOUND_VARIABLE_34856) (= (@ BOUND_VARIABLE_34857 BOUND_VARIABLE_34859) (@ BOUND_VARIABLE_34857 BOUND_VARIABLE_34858))) (ll_77 BOUND_VARIABLE_34856 BOUND_VARIABLE_34857 BOUND_VARIABLE_34858 BOUND_VARIABLE_34859))))) (let ((_let_828 (forall ((BOUND_VARIABLE_34842 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34843 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) (BOUND_VARIABLE_34844 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34845 (-> tptp.hoare_1708887482_state Bool))) (= (and (@ (@ tptp.member814030440tate_o BOUND_VARIABLE_34845) BOUND_VARIABLE_34842) (= (@ BOUND_VARIABLE_34843 BOUND_VARIABLE_34845) (@ BOUND_VARIABLE_34843 BOUND_VARIABLE_34844))) (ll_76 BOUND_VARIABLE_34842 BOUND_VARIABLE_34843 BOUND_VARIABLE_34844 BOUND_VARIABLE_34845))))) (let ((_let_829 (forall ((BOUND_VARIABLE_34828 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34829 (-> (-> tptp.pname Bool) tptp.hoare_1708887482_state)) (BOUND_VARIABLE_34830 (-> tptp.pname Bool)) (BOUND_VARIABLE_34831 (-> tptp.pname Bool))) (= (and (@ (@ tptp.member_pname_o BOUND_VARIABLE_34831) BOUND_VARIABLE_34828) (= (@ BOUND_VARIABLE_34829 BOUND_VARIABLE_34831) (@ BOUND_VARIABLE_34829 BOUND_VARIABLE_34830))) (ll_75 BOUND_VARIABLE_34828 BOUND_VARIABLE_34829 BOUND_VARIABLE_34830 BOUND_VARIABLE_34831))))) (let ((_let_830 (forall ((BOUND_VARIABLE_34814 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34815 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (BOUND_VARIABLE_34816 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34817 tptp.hoare_1708887482_state)) (= (and (@ (@ tptp.member451959335_state BOUND_VARIABLE_34817) BOUND_VARIABLE_34814) (= (@ BOUND_VARIABLE_34815 BOUND_VARIABLE_34817) (@ BOUND_VARIABLE_34815 BOUND_VARIABLE_34816))) (ll_74 BOUND_VARIABLE_34814 BOUND_VARIABLE_34815 BOUND_VARIABLE_34816 BOUND_VARIABLE_34817))))) (let ((_let_831 (forall ((BOUND_VARIABLE_34800 (-> tptp.com Bool)) (BOUND_VARIABLE_34801 (-> tptp.com tptp.hoare_1708887482_state)) (BOUND_VARIABLE_34802 tptp.com) (BOUND_VARIABLE_34803 tptp.com)) (= (and (@ (@ tptp.member_com BOUND_VARIABLE_34803) BOUND_VARIABLE_34800) (= (@ BOUND_VARIABLE_34801 BOUND_VARIABLE_34803) (@ BOUND_VARIABLE_34801 BOUND_VARIABLE_34802))) (ll_73 BOUND_VARIABLE_34800 BOUND_VARIABLE_34801 BOUND_VARIABLE_34802 BOUND_VARIABLE_34803))))) (let ((_let_832 (forall ((BOUND_VARIABLE_34793 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34794 tptp.hoare_1708887482_state)) (= (= BOUND_VARIABLE_34793 BOUND_VARIABLE_34794) (ll_72 BOUND_VARIABLE_34793 BOUND_VARIABLE_34794))))) (let ((_let_833 (forall ((BOUND_VARIABLE_34786 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34787 (-> tptp.hoare_1708887482_state Bool))) (= (= BOUND_VARIABLE_34786 BOUND_VARIABLE_34787) (ll_71 BOUND_VARIABLE_34786 BOUND_VARIABLE_34787))))) (let ((_let_834 (forall ((BOUND_VARIABLE_34779 (-> tptp.pname Bool)) (BOUND_VARIABLE_34780 (-> tptp.pname Bool))) (= (= BOUND_VARIABLE_34779 BOUND_VARIABLE_34780) (ll_70 BOUND_VARIABLE_34779 BOUND_VARIABLE_34780))))) (let ((_let_835 (forall ((BOUND_VARIABLE_34772 tptp.com) (BOUND_VARIABLE_34773 tptp.com)) (= (= BOUND_VARIABLE_34772 BOUND_VARIABLE_34773) (ll_69 BOUND_VARIABLE_34772 BOUND_VARIABLE_34773))))) (let ((_let_836 (forall ((BOUND_VARIABLE_34765 tptp.pname) (BOUND_VARIABLE_34766 tptp.pname)) (= (= BOUND_VARIABLE_34765 BOUND_VARIABLE_34766) (ll_68 BOUND_VARIABLE_34765 BOUND_VARIABLE_34766))))) (let ((_let_837 (forall ((BOUND_VARIABLE_34755 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34756 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34757 tptp.hoare_1708887482_state)) (= (ll_67 BOUND_VARIABLE_34755 BOUND_VARIABLE_34756 BOUND_VARIABLE_34757) (and (= BOUND_VARIABLE_34755 BOUND_VARIABLE_34757) (@ BOUND_VARIABLE_34756 BOUND_VARIABLE_34757)))))) (let ((_let_838 (forall ((BOUND_VARIABLE_34745 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34746 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34747 tptp.hoare_1708887482_state)) (= (ll_66 BOUND_VARIABLE_34745 BOUND_VARIABLE_34746 BOUND_VARIABLE_34747) (and (= BOUND_VARIABLE_34745 BOUND_VARIABLE_34747) (@ BOUND_VARIABLE_34746 BOUND_VARIABLE_34747)))))) (let ((_let_839 (forall ((BOUND_VARIABLE_34735 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34736 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34737 (-> tptp.hoare_1708887482_state Bool))) (= (ll_65 BOUND_VARIABLE_34735 BOUND_VARIABLE_34736 BOUND_VARIABLE_34737) (and (= BOUND_VARIABLE_34735 BOUND_VARIABLE_34737) (@ BOUND_VARIABLE_34736 BOUND_VARIABLE_34737)))))) (let ((_let_840 (forall ((BOUND_VARIABLE_34725 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34726 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34727 (-> tptp.hoare_1708887482_state Bool))) (= (ll_64 BOUND_VARIABLE_34725 BOUND_VARIABLE_34726 BOUND_VARIABLE_34727) (and (= BOUND_VARIABLE_34725 BOUND_VARIABLE_34727) (@ BOUND_VARIABLE_34726 BOUND_VARIABLE_34727)))))) (let ((_let_841 (forall ((BOUND_VARIABLE_34715 (-> tptp.pname Bool)) (BOUND_VARIABLE_34716 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34717 (-> tptp.pname Bool))) (= (ll_63 BOUND_VARIABLE_34715 BOUND_VARIABLE_34716 BOUND_VARIABLE_34717) (and (= BOUND_VARIABLE_34715 BOUND_VARIABLE_34717) (@ BOUND_VARIABLE_34716 BOUND_VARIABLE_34717)))))) (let ((_let_842 (forall ((BOUND_VARIABLE_34705 (-> tptp.pname Bool)) (BOUND_VARIABLE_34706 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34707 (-> tptp.pname Bool))) (= (ll_62 BOUND_VARIABLE_34705 BOUND_VARIABLE_34706 BOUND_VARIABLE_34707) (and (= BOUND_VARIABLE_34705 BOUND_VARIABLE_34707) (@ BOUND_VARIABLE_34706 BOUND_VARIABLE_34707)))))) (let ((_let_843 (forall ((BOUND_VARIABLE_34695 tptp.com) (BOUND_VARIABLE_34696 (-> tptp.com Bool)) (BOUND_VARIABLE_34697 tptp.com)) (= (ll_61 BOUND_VARIABLE_34695 BOUND_VARIABLE_34696 BOUND_VARIABLE_34697) (and (= BOUND_VARIABLE_34695 BOUND_VARIABLE_34697) (@ BOUND_VARIABLE_34696 BOUND_VARIABLE_34697)))))) (let ((_let_844 (forall ((BOUND_VARIABLE_34685 tptp.com) (BOUND_VARIABLE_34686 (-> tptp.com Bool)) (BOUND_VARIABLE_34687 tptp.com)) (= (ll_60 BOUND_VARIABLE_34685 BOUND_VARIABLE_34686 BOUND_VARIABLE_34687) (and (= BOUND_VARIABLE_34685 BOUND_VARIABLE_34687) (@ BOUND_VARIABLE_34686 BOUND_VARIABLE_34687)))))) (let ((_let_845 (forall ((BOUND_VARIABLE_34675 tptp.pname) (BOUND_VARIABLE_34676 (-> tptp.pname Bool)) (BOUND_VARIABLE_34677 tptp.pname)) (= (ll_59 BOUND_VARIABLE_34675 BOUND_VARIABLE_34676 BOUND_VARIABLE_34677) (and (= BOUND_VARIABLE_34675 BOUND_VARIABLE_34677) (@ BOUND_VARIABLE_34676 BOUND_VARIABLE_34677)))))) (let ((_let_846 (forall ((BOUND_VARIABLE_34665 tptp.pname) (BOUND_VARIABLE_34666 (-> tptp.pname Bool)) (BOUND_VARIABLE_34667 tptp.pname)) (= (ll_58 BOUND_VARIABLE_34665 BOUND_VARIABLE_34666 BOUND_VARIABLE_34667) (and (= BOUND_VARIABLE_34665 BOUND_VARIABLE_34667) (@ BOUND_VARIABLE_34666 BOUND_VARIABLE_34667)))))) (let ((_let_847 (forall ((BOUND_VARIABLE_34655 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34656 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34657 tptp.hoare_1708887482_state)) (= (ll_57 BOUND_VARIABLE_34655 BOUND_VARIABLE_34656 BOUND_VARIABLE_34657) (and (= BOUND_VARIABLE_34655 BOUND_VARIABLE_34657) (@ BOUND_VARIABLE_34656 BOUND_VARIABLE_34657)))))) (let ((_let_848 (forall ((BOUND_VARIABLE_34645 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34646 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34647 tptp.hoare_1708887482_state)) (= (ll_56 BOUND_VARIABLE_34645 BOUND_VARIABLE_34646 BOUND_VARIABLE_34647) (and (= BOUND_VARIABLE_34645 BOUND_VARIABLE_34647) (@ BOUND_VARIABLE_34646 BOUND_VARIABLE_34647)))))) (let ((_let_849 (forall ((BOUND_VARIABLE_34635 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34636 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34637 (-> tptp.hoare_1708887482_state Bool))) (= (ll_55 BOUND_VARIABLE_34635 BOUND_VARIABLE_34636 BOUND_VARIABLE_34637) (and (= BOUND_VARIABLE_34635 BOUND_VARIABLE_34637) (@ BOUND_VARIABLE_34636 BOUND_VARIABLE_34637)))))) (let ((_let_850 (forall ((BOUND_VARIABLE_34625 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34626 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34627 (-> tptp.hoare_1708887482_state Bool))) (= (ll_54 BOUND_VARIABLE_34625 BOUND_VARIABLE_34626 BOUND_VARIABLE_34627) (and (= BOUND_VARIABLE_34625 BOUND_VARIABLE_34627) (@ BOUND_VARIABLE_34626 BOUND_VARIABLE_34627)))))) (let ((_let_851 (forall ((BOUND_VARIABLE_34615 (-> tptp.pname Bool)) (BOUND_VARIABLE_34616 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34617 (-> tptp.pname Bool))) (= (ll_53 BOUND_VARIABLE_34615 BOUND_VARIABLE_34616 BOUND_VARIABLE_34617) (and (= BOUND_VARIABLE_34615 BOUND_VARIABLE_34617) (@ BOUND_VARIABLE_34616 BOUND_VARIABLE_34617)))))) (let ((_let_852 (forall ((BOUND_VARIABLE_34605 (-> tptp.pname Bool)) (BOUND_VARIABLE_34606 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34607 (-> tptp.pname Bool))) (= (ll_52 BOUND_VARIABLE_34605 BOUND_VARIABLE_34606 BOUND_VARIABLE_34607) (and (= BOUND_VARIABLE_34605 BOUND_VARIABLE_34607) (@ BOUND_VARIABLE_34606 BOUND_VARIABLE_34607)))))) (let ((_let_853 (forall ((BOUND_VARIABLE_34595 tptp.com) (BOUND_VARIABLE_34596 (-> tptp.com Bool)) (BOUND_VARIABLE_34597 tptp.com)) (= (ll_51 BOUND_VARIABLE_34595 BOUND_VARIABLE_34596 BOUND_VARIABLE_34597) (and (= BOUND_VARIABLE_34595 BOUND_VARIABLE_34597) (@ BOUND_VARIABLE_34596 BOUND_VARIABLE_34597)))))) (let ((_let_854 (forall ((BOUND_VARIABLE_34585 tptp.com) (BOUND_VARIABLE_34586 (-> tptp.com Bool)) (BOUND_VARIABLE_34587 tptp.com)) (= (ll_50 BOUND_VARIABLE_34585 BOUND_VARIABLE_34586 BOUND_VARIABLE_34587) (and (= BOUND_VARIABLE_34585 BOUND_VARIABLE_34587) (@ BOUND_VARIABLE_34586 BOUND_VARIABLE_34587)))))) (let ((_let_855 (forall ((BOUND_VARIABLE_34575 tptp.pname) (BOUND_VARIABLE_34576 (-> tptp.pname Bool)) (BOUND_VARIABLE_34577 tptp.pname)) (= (ll_49 BOUND_VARIABLE_34575 BOUND_VARIABLE_34576 BOUND_VARIABLE_34577) (and (= BOUND_VARIABLE_34575 BOUND_VARIABLE_34577) (@ BOUND_VARIABLE_34576 BOUND_VARIABLE_34577)))))) (let ((_let_856 (forall ((BOUND_VARIABLE_34565 tptp.pname) (BOUND_VARIABLE_34566 (-> tptp.pname Bool)) (BOUND_VARIABLE_34567 tptp.pname)) (= (ll_48 BOUND_VARIABLE_34565 BOUND_VARIABLE_34566 BOUND_VARIABLE_34567) (and (= BOUND_VARIABLE_34565 BOUND_VARIABLE_34567) (@ BOUND_VARIABLE_34566 BOUND_VARIABLE_34567)))))) (let ((_let_857 (forall ((BOUND_VARIABLE_34554 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34555 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34556 tptp.hoare_1708887482_state)) (= (or (= BOUND_VARIABLE_34554 BOUND_VARIABLE_34556) (@ (@ tptp.member451959335_state BOUND_VARIABLE_34556) BOUND_VARIABLE_34555)) (ll_47 BOUND_VARIABLE_34554 BOUND_VARIABLE_34555 BOUND_VARIABLE_34556))))) (let ((_let_858 (forall ((BOUND_VARIABLE_34543 tptp.pname) (BOUND_VARIABLE_34544 (-> tptp.pname Bool)) (BOUND_VARIABLE_34545 tptp.pname)) (= (or (= BOUND_VARIABLE_34543 BOUND_VARIABLE_34545) (@ (@ tptp.member_pname BOUND_VARIABLE_34545) BOUND_VARIABLE_34544)) (ll_46 BOUND_VARIABLE_34543 BOUND_VARIABLE_34544 BOUND_VARIABLE_34545))))) (let ((_let_859 (forall ((BOUND_VARIABLE_34532 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34533 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34534 (-> tptp.hoare_1708887482_state Bool))) (= (or (= BOUND_VARIABLE_34532 BOUND_VARIABLE_34534) (@ (@ tptp.member814030440tate_o BOUND_VARIABLE_34534) BOUND_VARIABLE_34533)) (ll_45 BOUND_VARIABLE_34532 BOUND_VARIABLE_34533 BOUND_VARIABLE_34534))))) (let ((_let_860 (forall ((BOUND_VARIABLE_34521 (-> tptp.pname Bool)) (BOUND_VARIABLE_34522 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34523 (-> tptp.pname Bool))) (= (or (= BOUND_VARIABLE_34521 BOUND_VARIABLE_34523) (@ (@ tptp.member_pname_o BOUND_VARIABLE_34523) BOUND_VARIABLE_34522)) (ll_44 BOUND_VARIABLE_34521 BOUND_VARIABLE_34522 BOUND_VARIABLE_34523))))) (let ((_let_861 (forall ((BOUND_VARIABLE_34510 tptp.com) (BOUND_VARIABLE_34511 (-> tptp.com Bool)) (BOUND_VARIABLE_34512 tptp.com)) (= (or (= BOUND_VARIABLE_34510 BOUND_VARIABLE_34512) (@ (@ tptp.member_com BOUND_VARIABLE_34512) BOUND_VARIABLE_34511)) (ll_43 BOUND_VARIABLE_34510 BOUND_VARIABLE_34511 BOUND_VARIABLE_34512))))) (let ((_let_862 (forall ((BOUND_VARIABLE_34500 (-> tptp.pname Bool)) (BOUND_VARIABLE_34501 (-> tptp.pname Bool)) (BOUND_VARIABLE_34502 tptp.pname)) (= (or (@ BOUND_VARIABLE_34500 BOUND_VARIABLE_34502) (@ BOUND_VARIABLE_34501 BOUND_VARIABLE_34502)) (ll_42 BOUND_VARIABLE_34500 BOUND_VARIABLE_34501 BOUND_VARIABLE_34502))))) (let ((_let_863 (forall ((BOUND_VARIABLE_34490 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34491 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34492 tptp.hoare_1708887482_state)) (= (or (@ BOUND_VARIABLE_34490 BOUND_VARIABLE_34492) (@ BOUND_VARIABLE_34491 BOUND_VARIABLE_34492)) (ll_41 BOUND_VARIABLE_34490 BOUND_VARIABLE_34491 BOUND_VARIABLE_34492))))) (let ((_let_864 (forall ((BOUND_VARIABLE_34480 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34481 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34482 (-> tptp.hoare_1708887482_state Bool))) (= (or (@ BOUND_VARIABLE_34480 BOUND_VARIABLE_34482) (@ BOUND_VARIABLE_34481 BOUND_VARIABLE_34482)) (ll_40 BOUND_VARIABLE_34480 BOUND_VARIABLE_34481 BOUND_VARIABLE_34482))))) (let ((_let_865 (forall ((BOUND_VARIABLE_34470 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34471 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34472 (-> tptp.pname Bool))) (= (or (@ BOUND_VARIABLE_34470 BOUND_VARIABLE_34472) (@ BOUND_VARIABLE_34471 BOUND_VARIABLE_34472)) (ll_39 BOUND_VARIABLE_34470 BOUND_VARIABLE_34471 BOUND_VARIABLE_34472))))) (let ((_let_866 (forall ((BOUND_VARIABLE_34459 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34460 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34461 tptp.hoare_1708887482_state)) (= (or (= BOUND_VARIABLE_34459 BOUND_VARIABLE_34461) (@ (@ tptp.member451959335_state BOUND_VARIABLE_34461) BOUND_VARIABLE_34460)) (ll_38 BOUND_VARIABLE_34459 BOUND_VARIABLE_34460 BOUND_VARIABLE_34461))))) (let ((_let_867 (forall ((BOUND_VARIABLE_34448 tptp.pname) (BOUND_VARIABLE_34449 (-> tptp.pname Bool)) (BOUND_VARIABLE_34450 tptp.pname)) (= (or (= BOUND_VARIABLE_34448 BOUND_VARIABLE_34450) (@ (@ tptp.member_pname BOUND_VARIABLE_34450) BOUND_VARIABLE_34449)) (ll_37 BOUND_VARIABLE_34448 BOUND_VARIABLE_34449 BOUND_VARIABLE_34450))))) (let ((_let_868 (forall ((BOUND_VARIABLE_34437 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34438 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34439 (-> tptp.hoare_1708887482_state Bool))) (= (or (= BOUND_VARIABLE_34437 BOUND_VARIABLE_34439) (@ (@ tptp.member814030440tate_o BOUND_VARIABLE_34439) BOUND_VARIABLE_34438)) (ll_36 BOUND_VARIABLE_34437 BOUND_VARIABLE_34438 BOUND_VARIABLE_34439))))) (let ((_let_869 (forall ((BOUND_VARIABLE_34426 (-> tptp.pname Bool)) (BOUND_VARIABLE_34427 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34428 (-> tptp.pname Bool))) (= (or (= BOUND_VARIABLE_34426 BOUND_VARIABLE_34428) (@ (@ tptp.member_pname_o BOUND_VARIABLE_34428) BOUND_VARIABLE_34427)) (ll_35 BOUND_VARIABLE_34426 BOUND_VARIABLE_34427 BOUND_VARIABLE_34428))))) (let ((_let_870 (forall ((BOUND_VARIABLE_34415 tptp.com) (BOUND_VARIABLE_34416 (-> tptp.com Bool)) (BOUND_VARIABLE_34417 tptp.com)) (= (or (= BOUND_VARIABLE_34415 BOUND_VARIABLE_34417) (@ (@ tptp.member_com BOUND_VARIABLE_34417) BOUND_VARIABLE_34416)) (ll_34 BOUND_VARIABLE_34415 BOUND_VARIABLE_34416 BOUND_VARIABLE_34417))))) (let ((_let_871 (forall ((BOUND_VARIABLE_34404 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34405 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34406 tptp.hoare_1708887482_state)) (= (ll_33 BOUND_VARIABLE_34404 BOUND_VARIABLE_34405 BOUND_VARIABLE_34406) (or (= BOUND_VARIABLE_34404 BOUND_VARIABLE_34406) (@ BOUND_VARIABLE_34405 BOUND_VARIABLE_34406)))))) (let ((_let_872 (forall ((BOUND_VARIABLE_34393 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34394 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34395 (-> tptp.hoare_1708887482_state Bool))) (= (ll_32 BOUND_VARIABLE_34393 BOUND_VARIABLE_34394 BOUND_VARIABLE_34395) (or (= BOUND_VARIABLE_34393 BOUND_VARIABLE_34395) (@ BOUND_VARIABLE_34394 BOUND_VARIABLE_34395)))))) (let ((_let_873 (forall ((BOUND_VARIABLE_34382 (-> tptp.pname Bool)) (BOUND_VARIABLE_34383 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34384 (-> tptp.pname Bool))) (= (ll_31 BOUND_VARIABLE_34382 BOUND_VARIABLE_34383 BOUND_VARIABLE_34384) (or (= BOUND_VARIABLE_34382 BOUND_VARIABLE_34384) (@ BOUND_VARIABLE_34383 BOUND_VARIABLE_34384)))))) (let ((_let_874 (forall ((BOUND_VARIABLE_34371 tptp.com) (BOUND_VARIABLE_34372 (-> tptp.com Bool)) (BOUND_VARIABLE_34373 tptp.com)) (= (ll_30 BOUND_VARIABLE_34371 BOUND_VARIABLE_34372 BOUND_VARIABLE_34373) (or (= BOUND_VARIABLE_34371 BOUND_VARIABLE_34373) (@ BOUND_VARIABLE_34372 BOUND_VARIABLE_34373)))))) (let ((_let_875 (forall ((BOUND_VARIABLE_34360 tptp.pname) (BOUND_VARIABLE_34361 (-> tptp.pname Bool)) (BOUND_VARIABLE_34362 tptp.pname)) (= (ll_29 BOUND_VARIABLE_34360 BOUND_VARIABLE_34361 BOUND_VARIABLE_34362) (or (= BOUND_VARIABLE_34360 BOUND_VARIABLE_34362) (@ BOUND_VARIABLE_34361 BOUND_VARIABLE_34362)))))) (let ((_let_876 (forall ((BOUND_VARIABLE_34354 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34355 tptp.pname)) (= BOUND_VARIABLE_34354 (ll_28 BOUND_VARIABLE_34354 BOUND_VARIABLE_34355))))) (let ((_let_877 (forall ((BOUND_VARIABLE_34348 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34349 tptp.com)) (= BOUND_VARIABLE_34348 (ll_27 BOUND_VARIABLE_34348 BOUND_VARIABLE_34349))))) (let ((_let_878 (forall ((BOUND_VARIABLE_34342 tptp.com) (BOUND_VARIABLE_34343 tptp.pname)) (= BOUND_VARIABLE_34342 (ll_26 BOUND_VARIABLE_34342 BOUND_VARIABLE_34343))))) (let ((_let_879 (forall ((BOUND_VARIABLE_34336 tptp.pname) (BOUND_VARIABLE_34337 tptp.pname)) (= BOUND_VARIABLE_34336 (ll_25 BOUND_VARIABLE_34336 BOUND_VARIABLE_34337))))) (let ((_let_880 (forall ((BOUND_VARIABLE_34330 tptp.com) (BOUND_VARIABLE_34331 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34330 (ll_24 BOUND_VARIABLE_34330 BOUND_VARIABLE_34331))))) (let ((_let_881 (forall ((BOUND_VARIABLE_34324 tptp.pname) (BOUND_VARIABLE_34325 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34324 (ll_23 BOUND_VARIABLE_34324 BOUND_VARIABLE_34325))))) (let ((_let_882 (forall ((BOUND_VARIABLE_34318 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34319 tptp.pname)) (= BOUND_VARIABLE_34318 (ll_22 BOUND_VARIABLE_34318 BOUND_VARIABLE_34319))))) (let ((_let_883 (forall ((BOUND_VARIABLE_34312 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34313 tptp.pname)) (= BOUND_VARIABLE_34312 (ll_21 BOUND_VARIABLE_34312 BOUND_VARIABLE_34313))))) (let ((_let_884 (forall ((BOUND_VARIABLE_34306 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34307 tptp.com)) (= BOUND_VARIABLE_34306 (ll_20 BOUND_VARIABLE_34306 BOUND_VARIABLE_34307))))) (let ((_let_885 (forall ((BOUND_VARIABLE_34300 tptp.hoare_1708887482_state) (BOUND_VARIABLE_34301 tptp.com)) (= BOUND_VARIABLE_34300 (ll_19 BOUND_VARIABLE_34300 BOUND_VARIABLE_34301))))) (let ((_let_886 (forall ((BOUND_VARIABLE_34294 tptp.com) (BOUND_VARIABLE_34295 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34294 (ll_18 BOUND_VARIABLE_34294 BOUND_VARIABLE_34295))))) (let ((_let_887 (forall ((BOUND_VARIABLE_34288 tptp.com) (BOUND_VARIABLE_34289 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34288 (ll_17 BOUND_VARIABLE_34288 BOUND_VARIABLE_34289))))) (let ((_let_888 (forall ((BOUND_VARIABLE_34282 tptp.pname) (BOUND_VARIABLE_34283 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34282 (ll_16 BOUND_VARIABLE_34282 BOUND_VARIABLE_34283))))) (let ((_let_889 (forall ((BOUND_VARIABLE_34276 tptp.pname) (BOUND_VARIABLE_34277 tptp.hoare_1708887482_state)) (= BOUND_VARIABLE_34276 (ll_15 BOUND_VARIABLE_34276 BOUND_VARIABLE_34277))))) (let ((_let_890 (forall ((BOUND_VARIABLE_34266 (-> tptp.pname Bool)) (BOUND_VARIABLE_34267 (-> tptp.pname Bool)) (BOUND_VARIABLE_34268 tptp.pname)) (= (and (@ BOUND_VARIABLE_34266 BOUND_VARIABLE_34268) (@ BOUND_VARIABLE_34267 BOUND_VARIABLE_34268)) (ll_14 BOUND_VARIABLE_34266 BOUND_VARIABLE_34267 BOUND_VARIABLE_34268))))) (let ((_let_891 (forall ((BOUND_VARIABLE_34256 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34257 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34258 tptp.hoare_1708887482_state)) (= (and (@ BOUND_VARIABLE_34256 BOUND_VARIABLE_34258) (@ BOUND_VARIABLE_34257 BOUND_VARIABLE_34258)) (ll_13 BOUND_VARIABLE_34256 BOUND_VARIABLE_34257 BOUND_VARIABLE_34258))))) (let ((_let_892 (forall ((BOUND_VARIABLE_34246 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34247 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34248 (-> tptp.hoare_1708887482_state Bool))) (= (and (@ BOUND_VARIABLE_34246 BOUND_VARIABLE_34248) (@ BOUND_VARIABLE_34247 BOUND_VARIABLE_34248)) (ll_12 BOUND_VARIABLE_34246 BOUND_VARIABLE_34247 BOUND_VARIABLE_34248))))) (let ((_let_893 (forall ((BOUND_VARIABLE_34236 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34237 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34238 (-> tptp.pname Bool))) (= (and (@ BOUND_VARIABLE_34236 BOUND_VARIABLE_34238) (@ BOUND_VARIABLE_34237 BOUND_VARIABLE_34238)) (ll_11 BOUND_VARIABLE_34236 BOUND_VARIABLE_34237 BOUND_VARIABLE_34238))))) (let ((_let_894 (forall ((BOUND_VARIABLE_34231 (-> tptp.hoare_1708887482_state Bool))) (not (ll_10 BOUND_VARIABLE_34231))))) (let ((_let_895 (forall ((BOUND_VARIABLE_34226 (-> tptp.pname Bool))) (not (ll_9 BOUND_VARIABLE_34226))))) (let ((_let_896 (forall ((BOUND_VARIABLE_34221 tptp.com)) (not (ll_8 BOUND_VARIABLE_34221))))) (let ((_let_897 (forall ((BOUND_VARIABLE_34216 tptp.pname)) (not (ll_7 BOUND_VARIABLE_34216))))) (let ((_let_898 (forall ((BOUND_VARIABLE_34208 (-> tptp.pname Bool)) (BOUND_VARIABLE_34209 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o BOUND_VARIABLE_34209) BOUND_VARIABLE_34208) (ll_6 BOUND_VARIABLE_34208 BOUND_VARIABLE_34209))))) (let ((_let_899 (forall ((BOUND_VARIABLE_34200 (-> tptp.hoare_1708887482_state Bool)) (BOUND_VARIABLE_34201 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o BOUND_VARIABLE_34201) BOUND_VARIABLE_34200) (ll_5 BOUND_VARIABLE_34200 BOUND_VARIABLE_34201))))) (let ((_let_900 (forall ((BOUND_VARIABLE_34192 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (BOUND_VARIABLE_34193 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.ord_le1728773982te_o_o BOUND_VARIABLE_34193) BOUND_VARIABLE_34192) (ll_4 BOUND_VARIABLE_34192 BOUND_VARIABLE_34193))))) (let ((_let_901 (forall ((BOUND_VARIABLE_34184 (-> (-> tptp.pname Bool) Bool)) (BOUND_VARIABLE_34185 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.ord_le1205211808me_o_o BOUND_VARIABLE_34185) BOUND_VARIABLE_34184) (ll_3 BOUND_VARIABLE_34184 BOUND_VARIABLE_34185))))) (let ((_let_902 (forall ((BOUND_VARIABLE_34179 tptp.hoare_1708887482_state)) (not (ll_2 BOUND_VARIABLE_34179))))) (let ((_let_903 (forall ((G_7 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.hoare_90032982_state G_7) (@ tptp.collec1568722789_state ll_2))))) (let ((_let_904 (and _let_903 _let_902 _let_901 _let_900 _let_899 _let_898 _let_897 _let_896 _let_895 _let_894 _let_893 _let_892 _let_891 _let_890 _let_889 _let_888 _let_887 _let_886 _let_885 _let_884 _let_883 _let_882 _let_881 _let_880 _let_879 _let_878 _let_877 _let_876 _let_875 _let_874 _let_873 _let_872 _let_871 _let_870 _let_869 _let_868 _let_867 _let_866 _let_865 _let_864 _let_863 _let_862 _let_861 _let_860 _let_859 _let_858 _let_857 _let_856 _let_855 _let_854 _let_853 _let_852 _let_851 _let_850 _let_849 _let_848 _let_847 _let_846 _let_845 _let_844 _let_843 _let_842 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_834 _let_833 _let_832 _let_831 _let_830 _let_829 _let_828 _let_827 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_818 _let_817 _let_816 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_808 _let_807 _let_806 _let_805 _let_804 _let_803 _let_802 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 _let_795 _let_794 _let_793 _let_792 _let_791 _let_790 _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 _let_783 _let_782 _let_781 _let_780 _let_779 _let_778 _let_777 _let_776 _let_775 _let_774 _let_773 _let_772 _let_771 _let_770 _let_769 _let_768 _let_767 _let_766 _let_765 _let_764 _let_763 _let_762 _let_761 _let_760 _let_759 _let_758 _let_757 _let_756 _let_755 _let_754 _let_753 _let_752 _let_751 _let_750 _let_749 _let_748 _let_747 _let_746 _let_745 _let_744 _let_743 _let_742 _let_741 _let_740 _let_739 _let_738 _let_737 _let_736 _let_735 _let_734 _let_733 _let_732 _let_731 _let_730 _let_729 _let_728 _let_727 _let_726 _let_725 _let_724 _let_723 _let_722 _let_721))) (let ((_let_905 (_let_46))) (let ((_let_906 (not (@ (@ tptp.hoare_90032982_state (@ (@ tptp.image_1116629049_state ll_183) _let_3)) (@ _let_2 (@ tptp.collec1568722789_state ll_2)))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_20 _let_18 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_22 _let_24 _let_26 _let_29))) (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO _let_38 :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (@ _let_4 (@ _let_2 (@ tptp.collec1568722789_state (lambda ((BOUND_VARIABLE_29792 tptp.hoare_1708887482_state)) false))))) _let_906))) (PREPROCESS :args ((= _let_906 (not _let_22)))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_905) :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_385 k_529 BOUND_VARIABLE_39557)))) :args _let_905)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_16)) (TRANS (MACRO_SR_EQ_INTRO _let_38 :args (_let_16 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((G_7 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.hoare_90032982_state G_7) (@ tptp.collec1568722789_state (lambda ((BOUND_VARIABLE_29792 tptp.hoare_1708887482_state)) false)))) _let_903))))) (PREPROCESS :args ((and _let_902 _let_901 _let_900 _let_899 _let_898 _let_897 _let_896 _let_895 _let_894 _let_893 _let_892 _let_891 _let_890 _let_889 _let_888 _let_887 _let_886 _let_885 _let_884 _let_883 _let_882 _let_881 _let_880 _let_879 _let_878 _let_877 _let_876 _let_875 _let_874 _let_873 _let_872 _let_871 _let_870 _let_869 _let_868 _let_867 _let_866 _let_865 _let_864 _let_863 _let_862 _let_861 _let_860 _let_859 _let_858 _let_857 _let_856 _let_855 _let_854 _let_853 _let_852 _let_851 _let_850 _let_849 _let_848 _let_847 _let_846 _let_845 _let_844 _let_843 _let_842 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_834 _let_833 _let_832 _let_831 _let_830 _let_829 _let_828 _let_827 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_818 _let_817 _let_816 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_808 _let_807 _let_806 _let_805 _let_804 _let_803 _let_802 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 _let_795 _let_794 _let_793 _let_792 _let_791 _let_790 _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 _let_783 _let_782 _let_781 _let_780 _let_779 _let_778 _let_777 _let_776 _let_775 _let_774 _let_773 _let_772 _let_771 _let_770 _let_769 _let_768 _let_767 _let_766 _let_765 _let_764 _let_763 _let_762 _let_761 _let_760 _let_759 _let_758 _let_757 _let_756 _let_755 _let_754 _let_753 _let_752 _let_751 _let_750 _let_749 _let_748 _let_747 _let_746 _let_745 _let_744 _let_743 _let_742 _let_741 _let_740 _let_739 _let_738 _let_737 _let_736 _let_735 _let_734 _let_733 _let_732 _let_731 _let_730 _let_729 _let_728 _let_727 _let_726 _let_725 _let_724 _let_723 _let_722 _let_721)))) :args (_let_904)) (PREPROCESS :args ((= _let_904 (and _let_46 _let_720 _let_719 _let_718 _let_717 _let_716 _let_715 _let_714 _let_713 _let_712 _let_711 _let_710 _let_709 _let_708 _let_707 _let_706 _let_705 _let_704 _let_703 _let_702 _let_701 _let_700 _let_699 _let_698 _let_697 _let_696 _let_695 _let_694 _let_693 _let_692 _let_691 _let_690 _let_689 _let_688 _let_687 _let_686 _let_685 _let_684 _let_683 _let_682 _let_681 _let_680 _let_679 _let_678 _let_677 _let_676 _let_675 _let_674 _let_673 _let_672 _let_671 _let_670 _let_669 _let_668 _let_667 _let_666 _let_665 _let_664 _let_663 _let_662 _let_661 _let_660 _let_659 _let_658 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539))))) (PREPROCESS :args ((and _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_435 _let_434 _let_433 _let_432 _let_431 _let_430 _let_429 _let_428 _let_427 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_104 _let_103 _let_102 _let_101 _let_100 _let_99 _let_98 _let_97 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47)))) :args ((and _let_46 _let_720 _let_719 _let_718 _let_717 _let_716 _let_715 _let_714 _let_713 _let_712 _let_711 _let_710 _let_709 _let_708 _let_707 _let_706 _let_705 _let_704 _let_703 _let_702 _let_701 _let_700 _let_699 _let_698 _let_697 _let_696 _let_695 _let_694 _let_693 _let_692 _let_691 _let_690 _let_689 _let_688 _let_687 _let_686 _let_685 _let_684 _let_683 _let_682 _let_681 _let_680 _let_679 _let_678 _let_677 _let_676 _let_675 _let_674 _let_673 _let_672 _let_671 _let_670 _let_669 _let_668 _let_667 _let_666 _let_665 _let_664 _let_663 _let_662 _let_661 _let_660 _let_659 _let_658 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586 _let_585 _let_584 _let_583 _let_582 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_568 _let_567 _let_566 _let_565 _let_564 _let_563 _let_562 _let_561 _let_560 _let_559 _let_558 _let_557 _let_556 _let_555 _let_554 _let_553 _let_552 _let_551 _let_550 _let_549 _let_548 _let_547 _let_546 _let_545 _let_544 _let_543 _let_542 _let_541 _let_540 _let_539 _let_538 _let_537 _let_536 _let_535 _let_534 _let_533 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_510 _let_509 _let_508 _let_507 _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500 _let_499 _let_498 _let_497 _let_496 _let_495 _let_494 _let_493 _let_492 _let_491 _let_490 _let_489 _let_488 _let_487 _let_486 _let_485 _let_484 _let_483 _let_482 _let_481 _let_480 _let_479 _let_478 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472 _let_471 _let_470 _let_469 _let_468 _let_467 _let_466 _let_465 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_442 _let_441 _let_440 _let_439 _let_438 _let_437 _let_436 _let_435 _let_434 _let_433 _let_432 _let_431 _let_430 _let_429 _let_428 _let_427 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_419 _let_418 _let_417 _let_416 _let_415 _let_414 _let_413 _let_412 _let_411 _let_410 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 _let_400 _let_399 _let_398 _let_397 _let_396 _let_395 _let_394 _let_393 _let_392 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_383 _let_382 _let_381 _let_380 _let_379 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_372 _let_371 _let_370 _let_369 _let_368 _let_367 _let_366 _let_365 _let_364 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_258 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_203 _let_202 _let_201 _let_200 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177 _let_176 _let_175 _let_174 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_133 _let_132 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105 _let_104 _let_103 _let_102 _let_101 _let_100 _let_99 _let_98 _let_97 _let_96 _let_95 _let_94 _let_93 _let_92 _let_91 _let_90 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47))) :args (0)) :args (_let_23 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_25 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_30 (not _let_42)))) (EQ_RESOLVE (ASSUME :args (_let_6)) (PREPROCESS :args ((= _let_6 _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.pn tptp.y QUANTIFIERS_INST_E_MATCHING ((ho_584 k_587 B_82) (ho_193 k_192 Pn_1)))) :args (_let_43))) _let_45 :args (_let_42 false _let_43)) :args (_let_30 false _let_40 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_189 k_188 C_34)))) :args _let_39)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_14)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_38 :args ((or (not tptp.hoare_1160767572gleton) _let_37 (forall ((C_34 tptp.com)) (or (not (@ tptp.wt C_34)) (@ (@ tptp.hoare_90032982_state tptp.bot_bo19817387tate_o) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o))))) SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (or _let_34 (forall ((C_34 tptp.com)) (let ((_let_1 (@ tptp.collec1568722789_state (lambda ((BOUND_VARIABLE_29792 tptp.hoare_1708887482_state)) false)))) (or (not (@ tptp.wt C_34)) (@ (@ tptp.hoare_90032982_state _let_1) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) _let_1)))))) _let_36))) (PREPROCESS :args ((= _let_36 (or _let_34 _let_33)))))) (EQ_RESOLVE (ASSUME :args (tptp.hoare_1160767572gleton)) _let_35) :args (_let_33 true _let_34)) :args (_let_32 false _let_33)) :args (_let_25 false _let_30 false _let_32)) :args (_let_29 true _let_22 false _let_23 false _let_25)) _let_28 :args (false true _let_27 false _let_17)) :args (_let_16 (forall ((Ts_7 (-> tptp.hoare_1708887482_state Bool)) (G_39 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Ts_7) G_39) (@ (@ tptp.hoare_90032982_state G_39) Ts_7))) (forall ((Ts_6 (-> tptp.hoare_1708887482_state Bool)) (G_38 (-> tptp.hoare_1708887482_state Bool)) (Ts_5 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_38))) (=> (@ _let_1 Ts_5) (=> (@ (@ tptp.ord_le777019615tate_o Ts_6) Ts_5) (@ _let_1 Ts_6))))) (forall ((G_37 (-> tptp.hoare_1708887482_state Bool)) (G_36 (-> tptp.hoare_1708887482_state Bool)) (Ts_4 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.hoare_90032982_state G_36) Ts_4) (=> (@ (@ tptp.ord_le777019615tate_o G_36) G_37) (@ (@ tptp.hoare_90032982_state G_37) Ts_4)))) _let_15 (forall ((Ts_2 (-> tptp.hoare_1708887482_state Bool)) (G_33 (-> tptp.hoare_1708887482_state Bool)) (T_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.insert528405184_state T_3))) (let ((_let_2 (@ tptp.hoare_90032982_state G_33))) (=> (@ _let_2 (@ _let_1 tptp.bot_bo19817387tate_o)) (=> (@ _let_2 Ts_2) (@ _let_2 (@ _let_1 Ts_2))))))) (forall ((G_32 (-> tptp.hoare_1708887482_state Bool)) (T_2 tptp.hoare_1708887482_state) (Ts_1 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_32))) (let ((_let_2 (@ tptp.insert528405184_state T_2))) (=> (@ _let_1 (@ _let_2 Ts_1)) (and (@ _let_1 (@ _let_2 tptp.bot_bo19817387tate_o)) (@ _let_1 Ts_1)))))) (forall ((Pn_1 tptp.pname) (G_7 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn_1))))) (=> (@ (@ tptp.hoare_90032982_state (@ _let_1 G_7)) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT (@ tptp.the_com (@ tptp.body Pn_1)))) tptp.bot_bo19817387tate_o)) (@ (@ tptp.hoare_90032982_state G_7) (@ _let_1 tptp.bot_bo19817387tate_o))))) (forall ((A_274 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_274) (@ tptp.finite1066544169me_o_o (@ tptp.collect_pname_o_o (lambda ((B_84 (-> (-> tptp.pname Bool) Bool))) (@ (@ tptp.ord_le1205211808me_o_o B_84) A_274)))))) (forall ((A_274 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_274) (@ tptp.finite1019950101te_o_o (@ tptp.collec58007891te_o_o (lambda ((B_84 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (@ (@ tptp.ord_le1728773982te_o_o B_84) A_274)))))) (forall ((A_274 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_274) (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o (lambda ((B_84 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o B_84) A_274)))))) (forall ((A_274 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_274) (@ tptp.finite297249702name_o (@ tptp.collect_pname_o (lambda ((B_84 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o B_84) A_274)))))) (forall ((H_2 (-> tptp.hoare_1708887482_state tptp.pname Bool)) (F_88 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_88) (@ tptp.finite297249702name_o (@ (@ tptp.image_1552895654name_o H_2) F_88)))) (forall ((H_2 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)) (F_88 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_88) (@ tptp.finite1329924456tate_o (@ (@ tptp.image_1551509096tate_o H_2) F_88)))) (forall ((H_2 (-> tptp.pname tptp.pname Bool)) (F_88 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_88) (@ tptp.finite297249702name_o (@ (@ tptp.image_pname_pname_o H_2) F_88)))) (forall ((H_2 (-> tptp.pname tptp.hoare_1708887482_state Bool)) (F_88 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_88) (@ tptp.finite1329924456tate_o (@ (@ tptp.image_425134806tate_o H_2) F_88)))) (forall ((H_2 (-> (-> tptp.pname Bool) tptp.hoare_1708887482_state)) (F_88 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_88) (@ tptp.finite1625599783_state (@ (@ tptp.image_1922967206_state H_2) F_88)))) (forall ((H_2 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) (F_88 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_88) (@ tptp.finite1625599783_state (@ (@ tptp.image_27005066_state H_2) F_88)))) (forall ((H_2 (-> (-> tptp.pname Bool) tptp.pname)) (F_88 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_88) (@ tptp.finite_finite_pname (@ (@ tptp.image_pname_o_pname H_2) F_88)))) (forall ((H_2 (-> (-> tptp.hoare_1708887482_state Bool) tptp.pname)) (F_88 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_88) (@ tptp.finite_finite_pname (@ (@ tptp.image_2051418740_pname H_2) F_88)))) (forall ((H_2 (-> tptp.pname tptp.hoare_1708887482_state)) (F_88 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_88) (@ tptp.finite1625599783_state (@ (@ tptp.image_1116629049_state H_2) F_88)))) (forall ((A_273 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o tptp.bot_bot_pname_o) A_273)) (forall ((A_273 (-> tptp.com Bool))) (@ (@ tptp.ord_less_eq_com_o tptp.bot_bot_com_o) A_273)) (forall ((A_273 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o tptp.bot_bo19817387tate_o) A_273)) (forall ((A_272 tptp.com) (A_271 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_271) (@ tptp.finite_finite_com (@ (@ tptp.insert_com A_272) A_271)))) (forall ((A_272 (-> tptp.pname Bool)) (A_271 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_271) (@ tptp.finite297249702name_o (@ (@ tptp.insert_pname_o A_272) A_271)))) (forall ((A_272 (-> tptp.hoare_1708887482_state Bool)) (A_271 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_271) (@ tptp.finite1329924456tate_o (@ (@ tptp.insert949073679tate_o A_272) A_271)))) (forall ((A_272 tptp.pname) (A_271 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_271) (@ tptp.finite_finite_pname (@ (@ tptp.insert_pname A_272) A_271)))) (forall ((A_272 tptp.hoare_1708887482_state) (A_271 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_271) (@ tptp.finite1625599783_state (@ (@ tptp.insert528405184_state A_272) A_271)))) (@ tptp.finite297249702name_o tptp.bot_bot_pname_o_o) (@ tptp.finite1329924456tate_o tptp.bot_bo1678742418te_o_o) (@ tptp.finite_finite_com tptp.bot_bot_com_o) (@ tptp.finite1625599783_state tptp.bot_bo19817387tate_o) (@ tptp.finite_finite_pname tptp.bot_bot_pname_o) (forall ((Q_26 (-> (-> tptp.pname Bool) Bool)) (P_45 (-> (-> tptp.pname Bool) Bool))) (=> (or (@ tptp.finite297249702name_o (@ tptp.collect_pname_o P_45)) (@ tptp.finite297249702name_o (@ tptp.collect_pname_o Q_26))) (@ tptp.finite297249702name_o (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (@ P_45 X_3) (@ Q_26 X_3))))))) (forall ((Q_26 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (P_45 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (or (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o P_45)) (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o Q_26))) (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (@ P_45 X_3) (@ Q_26 X_3))))))) (forall ((Q_26 (-> tptp.hoare_1708887482_state Bool)) (P_45 (-> tptp.hoare_1708887482_state Bool))) (=> (or (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state P_45)) (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state Q_26))) (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (@ P_45 X_3) (@ Q_26 X_3))))))) (forall ((Q_26 (-> tptp.pname Bool)) (P_45 (-> tptp.pname Bool))) (=> (or (@ tptp.finite_finite_pname (@ tptp.collect_pname P_45)) (@ tptp.finite_finite_pname (@ tptp.collect_pname Q_26))) (@ tptp.finite_finite_pname (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (@ P_45 X_3) (@ Q_26 X_3))))))) (forall ((C_68 tptp.pname) (A_270 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (= A_270 tptp.bot_bo19817387tate_o))) (and (=> _let_1 (= (@ (@ tptp.image_1509414295_pname (lambda ((X_3 tptp.hoare_1708887482_state)) C_68)) A_270) tptp.bot_bot_pname_o)) (=> (not _let_1) (= (@ (@ tptp.image_1509414295_pname (lambda ((X_3 tptp.hoare_1708887482_state)) C_68)) A_270) (@ (@ tptp.insert_pname C_68) tptp.bot_bot_pname_o)))))) (forall ((C_68 tptp.com) (A_270 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (= A_270 tptp.bot_bo19817387tate_o))) (and (=> _let_1 (= (@ (@ tptp.image_1604448413te_com (lambda ((X_3 tptp.hoare_1708887482_state)) C_68)) A_270) tptp.bot_bot_com_o)) (=> (not _let_1) (= (@ (@ tptp.image_1604448413te_com (lambda ((X_3 tptp.hoare_1708887482_state)) C_68)) A_270) (@ (@ tptp.insert_com C_68) tptp.bot_bot_com_o)))))) (forall ((C_68 tptp.hoare_1708887482_state) (A_270 (-> tptp.com Bool))) (let ((_let_1 (= A_270 tptp.bot_bot_com_o))) (and (=> _let_1 (= (@ (@ tptp.image_934102463_state (lambda ((X_3 tptp.com)) C_68)) A_270) tptp.bot_bo19817387tate_o)) (=> (not _let_1) (= (@ (@ tptp.image_934102463_state (lambda ((X_3 tptp.com)) C_68)) A_270) (@ (@ tptp.insert528405184_state C_68) tptp.bot_bo19817387tate_o)))))) (forall ((C_68 tptp.hoare_1708887482_state) (A_270 (-> tptp.pname Bool))) (let ((_let_1 (= A_270 tptp.bot_bot_pname_o))) (and (=> _let_1 (= (@ (@ tptp.image_1116629049_state (lambda ((X_3 tptp.pname)) C_68)) A_270) tptp.bot_bo19817387tate_o)) (=> (not _let_1) (= (@ (@ tptp.image_1116629049_state (lambda ((X_3 tptp.pname)) C_68)) A_270) (@ (@ tptp.insert528405184_state C_68) tptp.bot_bo19817387tate_o)))))) (forall ((C_67 tptp.pname) (X_119 tptp.hoare_1708887482_state) (A_269 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_119) A_269) (= (@ (@ tptp.image_1509414295_pname (lambda ((X_3 tptp.hoare_1708887482_state)) C_67)) A_269) (@ (@ tptp.insert_pname C_67) tptp.bot_bot_pname_o)))) (forall ((C_67 tptp.com) (X_119 tptp.hoare_1708887482_state) (A_269 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_119) A_269) (= (@ (@ tptp.image_1604448413te_com (lambda ((X_3 tptp.hoare_1708887482_state)) C_67)) A_269) (@ (@ tptp.insert_com C_67) tptp.bot_bot_com_o)))) (forall ((C_67 tptp.pname) (X_119 tptp.pname) (A_269 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_119) A_269) (= (@ (@ tptp.image_pname_pname (lambda ((X_3 tptp.pname)) C_67)) A_269) (@ (@ tptp.insert_pname C_67) tptp.bot_bot_pname_o)))) (forall ((C_67 tptp.com) (X_119 tptp.pname) (A_269 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_119) A_269) (= (@ (@ tptp.image_pname_com (lambda ((X_3 tptp.pname)) C_67)) A_269) (@ (@ tptp.insert_com C_67) tptp.bot_bot_com_o)))) (forall ((C_67 tptp.hoare_1708887482_state) (X_119 tptp.com) (A_269 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_119) A_269) (= (@ (@ tptp.image_934102463_state (lambda ((X_3 tptp.com)) C_67)) A_269) (@ (@ tptp.insert528405184_state C_67) tptp.bot_bo19817387tate_o)))) (forall ((C_67 tptp.hoare_1708887482_state) (X_119 tptp.pname) (A_269 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_119) A_269) (= (@ (@ tptp.image_1116629049_state (lambda ((X_3 tptp.pname)) C_67)) A_269) (@ (@ tptp.insert528405184_state C_67) tptp.bot_bo19817387tate_o)))) (forall ((F_87 (-> tptp.com tptp.option_com)) (X_118 tptp.com) (Y_53 tptp.com)) (let ((_let_1 (@ tptp.dom_com_com F_87))) (=> (= (@ F_87 X_118) (@ tptp.some_com Y_53)) (= (@ (@ tptp.insert_com X_118) _let_1) _let_1)))) (forall ((F_87 (-> tptp.hoare_1708887482_state tptp.option_pname)) (X_118 tptp.hoare_1708887482_state) (Y_53 tptp.pname)) (let ((_let_1 (@ tptp.dom_Ho1805192458_pname F_87))) (=> (= (@ F_87 X_118) (@ tptp.some_pname Y_53)) (= (@ (@ tptp.insert528405184_state X_118) _let_1) _let_1)))) (forall ((F_87 (-> tptp.hoare_1708887482_state tptp.option1624383643_state)) (X_118 tptp.hoare_1708887482_state) (Y_53 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.dom_Ho1703271284_state F_87))) (=> (= (@ F_87 X_118) (@ tptp.some_H1974565227_state Y_53)) (= (@ (@ tptp.insert528405184_state X_118) _let_1) _let_1)))) (forall ((F_87 (-> tptp.pname tptp.option_com)) (X_118 tptp.pname) (Y_53 tptp.com)) (let ((_let_1 (@ tptp.dom_pname_com F_87))) (=> (= (@ F_87 X_118) (@ tptp.some_com Y_53)) (= (@ (@ tptp.insert_pname X_118) _let_1) _let_1)))) (forall ((B_171 (-> (-> tptp.pname Bool) Bool)) (F_86 (-> tptp.hoare_1708887482_state tptp.pname Bool)) (A_268 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_268) (=> (@ (@ tptp.ord_le1205211808me_o_o B_171) (@ (@ tptp.image_1552895654name_o F_86) A_268)) (@ tptp.finite297249702name_o B_171)))) (forall ((B_171 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_86 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state Bool)) (A_268 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_268) (=> (@ (@ tptp.ord_le1728773982te_o_o B_171) (@ (@ tptp.image_1551509096tate_o F_86) A_268)) (@ tptp.finite1329924456tate_o B_171)))) (forall ((B_171 (-> tptp.pname Bool)) (F_86 (-> tptp.hoare_1708887482_state tptp.pname)) (A_268 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_268) (=> (@ (@ tptp.ord_less_eq_pname_o B_171) (@ (@ tptp.image_1509414295_pname F_86) A_268)) (@ tptp.finite_finite_pname B_171)))) (forall ((B_171 (-> (-> tptp.pname Bool) Bool)) (F_86 (-> tptp.pname tptp.pname Bool)) (A_268 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_268) (=> (@ (@ tptp.ord_le1205211808me_o_o B_171) (@ (@ tptp.image_pname_pname_o F_86) A_268)) (@ tptp.finite297249702name_o B_171)))) (forall ((B_171 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_86 (-> tptp.pname tptp.hoare_1708887482_state Bool)) (A_268 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_268) (=> (@ (@ tptp.ord_le1728773982te_o_o B_171) (@ (@ tptp.image_425134806tate_o F_86) A_268)) (@ tptp.finite1329924456tate_o B_171)))) (forall ((B_171 (-> tptp.pname Bool)) (F_86 (-> tptp.pname tptp.pname)) (A_268 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_268) (=> (@ (@ tptp.ord_less_eq_pname_o B_171) (@ (@ tptp.image_pname_pname F_86) A_268)) (@ tptp.finite_finite_pname B_171)))) (forall ((B_171 (-> tptp.hoare_1708887482_state Bool)) (F_86 (-> (-> tptp.pname Bool) tptp.hoare_1708887482_state)) (A_268 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_268) (=> (@ (@ tptp.ord_le777019615tate_o B_171) (@ (@ tptp.image_1922967206_state F_86) A_268)) (@ tptp.finite1625599783_state B_171)))) (forall ((B_171 (-> tptp.hoare_1708887482_state Bool)) (F_86 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) (A_268 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_268) (=> (@ (@ tptp.ord_le777019615tate_o B_171) (@ (@ tptp.image_27005066_state F_86) A_268)) (@ tptp.finite1625599783_state B_171)))) (forall ((B_171 (-> tptp.pname Bool)) (F_86 (-> (-> tptp.pname Bool) tptp.pname)) (A_268 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_268) (=> (@ (@ tptp.ord_less_eq_pname_o B_171) (@ (@ tptp.image_pname_o_pname F_86) A_268)) (@ tptp.finite_finite_pname B_171)))) (forall ((B_171 (-> tptp.pname Bool)) (F_86 (-> (-> tptp.hoare_1708887482_state Bool) tptp.pname)) (A_268 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_268) (=> (@ (@ tptp.ord_less_eq_pname_o B_171) (@ (@ tptp.image_2051418740_pname F_86) A_268)) (@ tptp.finite_finite_pname B_171)))) (forall ((B_171 (-> tptp.hoare_1708887482_state Bool)) (F_86 (-> tptp.pname tptp.hoare_1708887482_state)) (A_268 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_268) (=> (@ (@ tptp.ord_le777019615tate_o B_171) (@ (@ tptp.image_1116629049_state F_86) A_268)) (@ tptp.finite1625599783_state B_171)))) (forall ((A_267 (-> tptp.pname Bool)) (X_117 tptp.pname)) (let ((_let_1 (@ (@ tptp.insert_pname X_117) tptp.bot_bot_pname_o))) (=> (@ (@ tptp.ord_less_eq_pname_o A_267) _let_1) (or (= A_267 tptp.bot_bot_pname_o) (= A_267 _let_1))))) (forall ((A_267 (-> tptp.com Bool)) (X_117 tptp.com)) (let ((_let_1 (@ (@ tptp.insert_com X_117) tptp.bot_bot_com_o))) (=> (@ (@ tptp.ord_less_eq_com_o A_267) _let_1) (or (= A_267 tptp.bot_bot_com_o) (= A_267 _let_1))))) (forall ((A_267 (-> tptp.hoare_1708887482_state Bool)) (X_117 tptp.hoare_1708887482_state)) (let ((_let_1 (@ (@ tptp.insert528405184_state X_117) tptp.bot_bo19817387tate_o))) (=> (@ (@ tptp.ord_le777019615tate_o A_267) _let_1) (or (= A_267 tptp.bot_bo19817387tate_o) (= A_267 _let_1))))) _let_14 (forall ((A_266 tptp.com)) (not (@ (@ tptp.member_com A_266) tptp.bot_bot_com_o))) (forall ((A_266 tptp.hoare_1708887482_state)) (not (@ (@ 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tptp.insert949073679tate_o A_246) (@ tptp.collec219771562tate_o P_42)) (@ tptp.collec219771562tate_o (lambda ((U_2 (-> tptp.hoare_1708887482_state Bool))) (=> (not (= U_2 A_246)) (@ P_42 U_2)))))) (forall ((A_246 tptp.hoare_1708887482_state) (P_42 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.insert528405184_state A_246) (@ tptp.collec1568722789_state P_42)) (@ tptp.collec1568722789_state (lambda ((U_2 tptp.hoare_1708887482_state)) (=> (not (= U_2 A_246)) (@ P_42 U_2)))))) (forall ((A_245 tptp.com) (B_160 (-> tptp.com Bool))) (= (@ (@ tptp.insert_com A_245) B_160) (@ tptp.collect_com (lambda ((X_3 tptp.com)) (or (= X_3 A_245) (@ (@ tptp.member_com X_3) B_160)))))) (forall ((A_245 (-> tptp.pname Bool)) (B_160 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.insert_pname_o A_245) B_160) (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (or (= X_3 A_245) (@ (@ tptp.member_pname_o X_3) B_160)))))) (forall ((A_245 (-> tptp.hoare_1708887482_state Bool)) (B_160 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.insert949073679tate_o A_245) B_160) (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (or (= X_3 A_245) (@ (@ tptp.member814030440tate_o X_3) B_160)))))) (forall ((A_245 tptp.pname) (B_160 (-> tptp.pname Bool))) (= (@ (@ tptp.insert_pname A_245) B_160) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (or (= X_3 A_245) (@ (@ tptp.member_pname X_3) B_160)))))) (forall ((A_245 tptp.hoare_1708887482_state) (B_160 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.insert528405184_state A_245) B_160) (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (or (= X_3 A_245) (@ (@ tptp.member451959335_state X_3) B_160)))))) (forall ((A_244 tptp.com) (B_159 (-> tptp.com Bool))) (@ (@ tptp.member_com A_244) (@ (@ tptp.insert_com A_244) B_159))) (forall ((A_244 tptp.pname) (B_159 (-> tptp.pname Bool))) (@ (@ tptp.member_pname A_244) (@ (@ tptp.insert_pname A_244) B_159))) (forall ((A_244 tptp.hoare_1708887482_state) (B_159 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.member451959335_state A_244) (@ (@ tptp.insert528405184_state A_244) B_159))) (forall ((A_243 (-> tptp.pname Bool)) (B_158 (-> tptp.pname Bool))) (=> (= A_243 B_158) (not (=> (@ (@ tptp.ord_less_eq_pname_o A_243) B_158) (not (@ (@ tptp.ord_less_eq_pname_o B_158) A_243)))))) (forall ((A_243 (-> tptp.hoare_1708887482_state Bool)) (B_158 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_243 B_158) (not (=> (@ (@ tptp.ord_le777019615tate_o A_243) B_158) (not (@ (@ tptp.ord_le777019615tate_o B_158) A_243)))))) (forall ((C_64 (-> tptp.pname Bool)) (A_242 (-> tptp.pname Bool)) (B_157 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_242))) (=> (@ _let_1 B_157) (=> (@ (@ tptp.ord_less_eq_pname_o B_157) C_64) (@ _let_1 C_64))))) (forall ((C_64 (-> tptp.hoare_1708887482_state Bool)) (A_242 (-> tptp.hoare_1708887482_state Bool)) (B_157 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_242))) (=> (@ _let_1 B_157) (=> (@ (@ tptp.ord_le777019615tate_o B_157) C_64) (@ _let_1 C_64))))) (forall ((X_111 tptp.com) (A_241 (-> tptp.com Bool)) (B_156 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com X_111))) (=> (@ (@ tptp.ord_less_eq_com_o A_241) B_156) (=> (@ _let_1 A_241) (@ _let_1 B_156))))) (forall ((X_111 tptp.hoare_1708887482_state) (A_241 (-> tptp.hoare_1708887482_state Bool)) (B_156 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state X_111))) (=> (@ (@ tptp.ord_le777019615tate_o A_241) B_156) (=> (@ _let_1 A_241) (@ _let_1 B_156))))) (forall ((X_111 tptp.pname) (A_241 (-> tptp.pname Bool)) (B_156 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname X_111))) (=> (@ (@ tptp.ord_less_eq_pname_o A_241) B_156) (=> (@ _let_1 A_241) (@ _let_1 B_156))))) (forall ((B_155 (-> tptp.com Bool)) (X_110 tptp.com) (A_240 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com X_110))) (=> (@ _let_1 A_240) (=> (@ (@ tptp.ord_less_eq_com_o A_240) B_155) (@ _let_1 B_155))))) (forall ((B_155 (-> tptp.hoare_1708887482_state Bool)) (X_110 tptp.hoare_1708887482_state) (A_240 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state X_110))) (=> (@ _let_1 A_240) (=> (@ (@ tptp.ord_le777019615tate_o A_240) B_155) (@ _let_1 B_155))))) (forall ((B_155 (-> tptp.pname Bool)) (X_110 tptp.pname) (A_240 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname X_110))) (=> (@ _let_1 A_240) (=> (@ (@ tptp.ord_less_eq_pname_o A_240) B_155) (@ _let_1 B_155))))) (forall ((X_109 tptp.com) (A_239 (-> tptp.com Bool)) (B_154 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com X_109))) (=> (@ (@ tptp.ord_less_eq_com_o A_239) B_154) (=> (@ _let_1 A_239) (@ _let_1 B_154))))) (forall ((X_109 tptp.hoare_1708887482_state) (A_239 (-> tptp.hoare_1708887482_state Bool)) (B_154 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state X_109))) (=> (@ (@ tptp.ord_le777019615tate_o A_239) B_154) (=> (@ _let_1 A_239) (@ _let_1 B_154))))) (forall ((X_109 tptp.pname) (A_239 (-> tptp.pname Bool)) (B_154 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname X_109))) (=> (@ (@ tptp.ord_less_eq_pname_o A_239) B_154) (=> (@ _let_1 A_239) (@ _let_1 B_154))))) (forall ((A_238 (-> tptp.pname Bool)) (B_153 (-> tptp.pname Bool))) (=> (= A_238 B_153) (@ (@ tptp.ord_less_eq_pname_o B_153) A_238))) (forall ((A_238 (-> tptp.hoare_1708887482_state Bool)) (B_153 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_238 B_153) (@ (@ tptp.ord_le777019615tate_o B_153) A_238))) (forall ((A_237 (-> tptp.pname Bool)) (B_152 (-> tptp.pname Bool))) (=> (= A_237 B_152) (@ (@ tptp.ord_less_eq_pname_o A_237) B_152))) (forall ((A_237 (-> tptp.hoare_1708887482_state Bool)) (B_152 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_237 B_152) (@ (@ tptp.ord_le777019615tate_o A_237) B_152))) (forall ((A_236 (-> tptp.pname Bool)) (B_151 (-> tptp.pname Bool))) (= (= A_236 B_151) (and (@ (@ tptp.ord_less_eq_pname_o A_236) B_151) (@ (@ tptp.ord_less_eq_pname_o B_151) A_236)))) (forall ((A_236 (-> tptp.hoare_1708887482_state Bool)) (B_151 (-> tptp.hoare_1708887482_state Bool))) (= (= A_236 B_151) (and (@ (@ tptp.ord_le777019615tate_o A_236) B_151) (@ (@ tptp.ord_le777019615tate_o B_151) A_236)))) (forall ((A_235 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o A_235) A_235)) (forall ((A_235 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o A_235) A_235)) (forall ((B_150 tptp.com) (F_84 (-> tptp.hoare_1708887482_state tptp.com)) (X_108 tptp.hoare_1708887482_state) (A_234 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member_com B_150) (@ (@ tptp.image_1604448413te_com F_84) A_234))))) (forall ((B_150 tptp.com) (F_84 (-> tptp.pname tptp.com)) (X_108 tptp.pname) (A_234 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member_com B_150) (@ (@ tptp.image_pname_com F_84) A_234))))) (forall ((B_150 tptp.hoare_1708887482_state) (F_84 (-> tptp.com tptp.hoare_1708887482_state)) (X_108 tptp.com) (A_234 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member451959335_state B_150) (@ (@ tptp.image_934102463_state F_84) A_234))))) (forall ((B_150 tptp.pname) (F_84 (-> tptp.com tptp.pname)) (X_108 tptp.com) (A_234 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member_pname B_150) (@ (@ tptp.image_com_pname F_84) A_234))))) (forall ((B_150 tptp.hoare_1708887482_state) (F_84 (-> tptp.pname tptp.hoare_1708887482_state)) (X_108 tptp.pname) (A_234 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_108) A_234) (=> (= B_150 (@ F_84 X_108)) (@ (@ tptp.member451959335_state B_150) (@ (@ tptp.image_1116629049_state F_84) A_234))))) (forall ((F_83 (-> tptp.hoare_1708887482_state tptp.com)) (X_107 tptp.hoare_1708887482_state) (A_233 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_107) A_233) (@ (@ tptp.member_com (@ F_83 X_107)) (@ (@ tptp.image_1604448413te_com F_83) A_233)))) (forall ((F_83 (-> tptp.pname tptp.com)) (X_107 tptp.pname) (A_233 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_107) A_233) (@ (@ tptp.member_com (@ F_83 X_107)) (@ (@ tptp.image_pname_com F_83) A_233)))) (forall ((F_83 (-> tptp.com tptp.hoare_1708887482_state)) (X_107 tptp.com) (A_233 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_107) A_233) (@ (@ tptp.member451959335_state (@ F_83 X_107)) (@ (@ tptp.image_934102463_state F_83) A_233)))) (forall ((F_83 (-> tptp.com tptp.pname)) (X_107 tptp.com) (A_233 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_107) A_233) (@ (@ tptp.member_pname (@ F_83 X_107)) (@ (@ tptp.image_com_pname F_83) A_233)))) (forall ((F_83 (-> tptp.pname tptp.hoare_1708887482_state)) (X_107 tptp.pname) (A_233 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_107) A_233) (@ (@ tptp.member451959335_state (@ F_83 X_107)) (@ (@ tptp.image_1116629049_state F_83) A_233)))) (forall ((Z_21 tptp.hoare_1708887482_state) (F_82 (-> tptp.pname tptp.hoare_1708887482_state)) (A_232 (-> tptp.pname Bool))) (= (@ (@ tptp.member451959335_state Z_21) (@ (@ tptp.image_1116629049_state F_82) A_232)) (exists ((X_3 tptp.pname)) (and (@ (@ tptp.member_pname X_3) A_232) (= Z_21 (@ F_82 X_3)))))) (forall ((P_41 (-> (-> tptp.pname Bool) Bool)) (Q_25 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.finite297249702name_o (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (or (@ P_41 X_3) (@ Q_25 X_3))))) (and (@ tptp.finite297249702name_o (@ tptp.collect_pname_o P_41)) (@ tptp.finite297249702name_o (@ tptp.collect_pname_o Q_25))))) (forall ((P_41 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (Q_25 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (or (@ P_41 X_3) (@ Q_25 X_3))))) (and (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o P_41)) (@ tptp.finite1329924456tate_o (@ tptp.collec219771562tate_o Q_25))))) (forall ((P_41 (-> tptp.hoare_1708887482_state Bool)) (Q_25 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (or (@ P_41 X_3) (@ Q_25 X_3))))) (and (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state P_41)) (@ tptp.finite1625599783_state (@ tptp.collec1568722789_state Q_25))))) (forall ((P_41 (-> tptp.pname Bool)) (Q_25 (-> tptp.pname Bool))) (= (@ tptp.finite_finite_pname (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (or (@ P_41 X_3) (@ Q_25 X_3))))) (and (@ tptp.finite_finite_pname (@ tptp.collect_pname P_41)) (@ tptp.finite_finite_pname (@ tptp.collect_pname Q_25))))) (forall ((X_3 tptp.com) (Xa (-> tptp.com Bool))) (= (@ (@ tptp.insert_com X_3) Xa) (@ tptp.collect_com (lambda ((Y_4 tptp.com)) (or (= Y_4 X_3) (@ (@ tptp.member_com Y_4) Xa)))))) (forall ((X_3 (-> tptp.pname Bool)) (Xa (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.insert_pname_o X_3) Xa) (@ tptp.collect_pname_o (lambda ((Y_4 (-> tptp.pname Bool))) (or (= Y_4 X_3) (@ (@ tptp.member_pname_o Y_4) Xa)))))) (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Xa (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.insert949073679tate_o X_3) Xa) (@ tptp.collec219771562tate_o (lambda ((Y_4 (-> tptp.hoare_1708887482_state Bool))) (or (= Y_4 X_3) (@ (@ tptp.member814030440tate_o Y_4) Xa)))))) (forall ((X_3 tptp.pname) (Xa (-> tptp.pname Bool))) (= (@ (@ tptp.insert_pname X_3) Xa) (@ tptp.collect_pname (lambda ((Y_4 tptp.pname)) (or (= Y_4 X_3) (@ (@ tptp.member_pname Y_4) Xa)))))) (forall ((X_3 tptp.hoare_1708887482_state) (Xa (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.insert528405184_state X_3) Xa) (@ tptp.collec1568722789_state (lambda ((Y_4 tptp.hoare_1708887482_state)) (or (= Y_4 X_3) (@ (@ tptp.member451959335_state Y_4) Xa)))))) (forall ((A_231 tptp.pname) (B_149 tptp.pname)) (=> (= (@ (@ tptp.insert_pname A_231) tptp.bot_bot_pname_o) (@ (@ tptp.insert_pname B_149) tptp.bot_bot_pname_o)) (= A_231 B_149))) (forall ((A_231 tptp.com) (B_149 tptp.com)) (=> (= (@ (@ tptp.insert_com A_231) tptp.bot_bot_com_o) (@ (@ tptp.insert_com B_149) tptp.bot_bot_com_o)) (= A_231 B_149))) (forall ((A_231 tptp.hoare_1708887482_state) (B_149 tptp.hoare_1708887482_state)) (=> (= (@ (@ tptp.insert528405184_state A_231) tptp.bot_bo19817387tate_o) (@ (@ tptp.insert528405184_state B_149) tptp.bot_bo19817387tate_o)) (= A_231 B_149))) (forall ((B_148 tptp.com) (A_230 tptp.com)) (=> (@ (@ tptp.member_com B_148) (@ (@ tptp.insert_com A_230) tptp.bot_bot_com_o)) (= B_148 A_230))) (forall ((B_148 tptp.pname) (A_230 tptp.pname)) (=> (@ (@ tptp.member_pname B_148) (@ (@ tptp.insert_pname A_230) tptp.bot_bot_pname_o)) (= B_148 A_230))) (forall ((B_148 tptp.hoare_1708887482_state) (A_230 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state B_148) (@ (@ tptp.insert528405184_state A_230) tptp.bot_bo19817387tate_o)) (= B_148 A_230))) (forall ((A_229 tptp.pname) (B_147 tptp.pname) (C_63 tptp.pname) (D_7 tptp.pname)) (= (= (@ (@ tptp.insert_pname A_229) (@ (@ tptp.insert_pname B_147) tptp.bot_bot_pname_o)) (@ (@ tptp.insert_pname C_63) (@ (@ tptp.insert_pname D_7) tptp.bot_bot_pname_o))) (or (and (= A_229 C_63) (= B_147 D_7)) (and (= A_229 D_7) (= B_147 C_63))))) (forall ((A_229 tptp.com) (B_147 tptp.com) (C_63 tptp.com) (D_7 tptp.com)) (= (= (@ (@ tptp.insert_com A_229) (@ (@ tptp.insert_com B_147) tptp.bot_bot_com_o)) (@ (@ tptp.insert_com C_63) (@ (@ tptp.insert_com D_7) tptp.bot_bot_com_o))) (or (and (= A_229 C_63) (= B_147 D_7)) (and (= A_229 D_7) (= B_147 C_63))))) (forall ((A_229 tptp.hoare_1708887482_state) (B_147 tptp.hoare_1708887482_state) (C_63 tptp.hoare_1708887482_state) (D_7 tptp.hoare_1708887482_state)) (= (= (@ (@ tptp.insert528405184_state A_229) (@ (@ tptp.insert528405184_state B_147) tptp.bot_bo19817387tate_o)) (@ (@ tptp.insert528405184_state C_63) (@ (@ tptp.insert528405184_state D_7) tptp.bot_bo19817387tate_o))) (or (and (= A_229 C_63) (= B_147 D_7)) (and (= A_229 D_7) (= B_147 C_63))))) (forall ((B_146 tptp.com) (A_228 tptp.com)) (= (@ (@ tptp.member_com B_146) (@ (@ tptp.insert_com A_228) tptp.bot_bot_com_o)) (= B_146 A_228))) (forall ((B_146 tptp.pname) (A_228 tptp.pname)) (= (@ (@ tptp.member_pname B_146) (@ (@ tptp.insert_pname A_228) tptp.bot_bot_pname_o)) (= B_146 A_228))) (forall ((B_146 tptp.hoare_1708887482_state) (A_228 tptp.hoare_1708887482_state)) (= (@ (@ tptp.member451959335_state B_146) (@ (@ tptp.insert528405184_state A_228) tptp.bot_bo19817387tate_o)) (= B_146 A_228))) (forall ((A_227 tptp.pname) (A_226 (-> tptp.pname Bool))) (not (= (@ (@ tptp.insert_pname A_227) A_226) tptp.bot_bot_pname_o))) (forall ((A_227 tptp.com) (A_226 (-> tptp.com Bool))) (not (= (@ (@ tptp.insert_com A_227) A_226) tptp.bot_bot_com_o))) (forall ((A_227 tptp.hoare_1708887482_state) (A_226 (-> tptp.hoare_1708887482_state Bool))) (not (= (@ (@ tptp.insert528405184_state A_227) A_226) tptp.bot_bo19817387tate_o))) (forall ((A_225 tptp.pname) (A_224 (-> tptp.pname Bool))) (not (= tptp.bot_bot_pname_o (@ (@ tptp.insert_pname A_225) A_224)))) (forall ((A_225 tptp.com) (A_224 (-> tptp.com Bool))) (not (= tptp.bot_bot_com_o (@ (@ tptp.insert_com A_225) A_224)))) (forall ((A_225 tptp.hoare_1708887482_state) (A_224 (-> tptp.hoare_1708887482_state Bool))) (not (= tptp.bot_bo19817387tate_o (@ (@ tptp.insert528405184_state A_225) A_224)))) (forall ((A_223 tptp.com) (A_222 (-> tptp.com Bool))) (= (@ tptp.finite_finite_com (@ (@ tptp.insert_com A_223) A_222)) (@ tptp.finite_finite_com A_222))) (forall ((A_223 (-> tptp.pname Bool)) (A_222 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.finite297249702name_o (@ (@ tptp.insert_pname_o A_223) A_222)) (@ tptp.finite297249702name_o A_222))) (forall ((A_223 (-> tptp.hoare_1708887482_state Bool)) (A_222 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.finite1329924456tate_o (@ (@ tptp.insert949073679tate_o A_223) A_222)) (@ tptp.finite1329924456tate_o A_222))) (forall ((A_223 tptp.pname) (A_222 (-> tptp.pname Bool))) (= (@ tptp.finite_finite_pname (@ (@ tptp.insert_pname A_223) A_222)) (@ tptp.finite_finite_pname A_222))) (forall ((A_223 tptp.hoare_1708887482_state) (A_222 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.finite1625599783_state (@ (@ tptp.insert528405184_state A_223) A_222)) (@ tptp.finite1625599783_state A_222))) (forall ((A_221 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o A_221) tptp.bot_bot_pname_o) (= A_221 tptp.bot_bot_pname_o))) (forall ((A_221 (-> tptp.com Bool))) (= (@ (@ tptp.ord_less_eq_com_o A_221) tptp.bot_bot_com_o) (= A_221 tptp.bot_bot_com_o))) (forall ((A_221 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o A_221) tptp.bot_bo19817387tate_o) (= A_221 tptp.bot_bo19817387tate_o))) (forall ((F_81 (-> tptp.com tptp.hoare_1708887482_state)) (A_220 (-> tptp.com Bool))) (= (= (@ (@ tptp.image_934102463_state F_81) A_220) tptp.bot_bo19817387tate_o) (= A_220 tptp.bot_bot_com_o))) (forall ((F_81 (-> tptp.hoare_1708887482_state tptp.pname)) (A_220 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.image_1509414295_pname F_81) A_220) tptp.bot_bot_pname_o) (= A_220 tptp.bot_bo19817387tate_o))) (forall ((F_81 (-> tptp.hoare_1708887482_state tptp.com)) (A_220 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.image_1604448413te_com F_81) A_220) tptp.bot_bot_com_o) (= A_220 tptp.bot_bo19817387tate_o))) (forall ((F_81 (-> tptp.pname tptp.hoare_1708887482_state)) (A_220 (-> tptp.pname Bool))) (= (= (@ (@ tptp.image_1116629049_state F_81) A_220) tptp.bot_bo19817387tate_o) (= A_220 tptp.bot_bot_pname_o))) (forall ((F_80 (-> tptp.hoare_1708887482_state tptp.pname))) (= (@ (@ tptp.image_1509414295_pname F_80) tptp.bot_bo19817387tate_o) tptp.bot_bot_pname_o)) (forall ((F_80 (-> tptp.hoare_1708887482_state tptp.com))) (= (@ (@ tptp.image_1604448413te_com F_80) tptp.bot_bo19817387tate_o) tptp.bot_bot_com_o)) (forall ((F_80 (-> tptp.com tptp.hoare_1708887482_state))) (= (@ (@ tptp.image_934102463_state F_80) tptp.bot_bot_com_o) tptp.bot_bo19817387tate_o)) (forall ((F_80 (-> tptp.pname tptp.hoare_1708887482_state))) (= (@ (@ tptp.image_1116629049_state F_80) tptp.bot_bot_pname_o) tptp.bot_bo19817387tate_o)) (forall ((F_79 (-> tptp.com tptp.hoare_1708887482_state)) (A_219 (-> tptp.com Bool))) (= (= tptp.bot_bo19817387tate_o (@ (@ tptp.image_934102463_state F_79) A_219)) (= A_219 tptp.bot_bot_com_o))) (forall ((F_79 (-> tptp.hoare_1708887482_state tptp.pname)) (A_219 (-> tptp.hoare_1708887482_state Bool))) (= (= tptp.bot_bot_pname_o (@ (@ tptp.image_1509414295_pname F_79) A_219)) (= A_219 tptp.bot_bo19817387tate_o))) (forall ((F_79 (-> tptp.hoare_1708887482_state tptp.com)) (A_219 (-> tptp.hoare_1708887482_state Bool))) (= (= tptp.bot_bot_com_o (@ (@ tptp.image_1604448413te_com F_79) A_219)) (= A_219 tptp.bot_bo19817387tate_o))) (forall ((F_79 (-> tptp.pname tptp.hoare_1708887482_state)) (A_219 (-> tptp.pname Bool))) (= (= tptp.bot_bo19817387tate_o (@ (@ tptp.image_1116629049_state F_79) A_219)) (= A_219 tptp.bot_bot_pname_o))) (forall ((A_218 (-> (-> tptp.pname Bool) Bool)) (B_145 (-> (-> tptp.pname Bool) Bool))) (=> (@ (@ tptp.ord_le1205211808me_o_o A_218) B_145) (=> (@ tptp.finite297249702name_o B_145) (@ tptp.finite297249702name_o A_218)))) (forall ((A_218 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_145 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ (@ tptp.ord_le1728773982te_o_o A_218) B_145) (=> (@ tptp.finite1329924456tate_o B_145) (@ tptp.finite1329924456tate_o A_218)))) (forall ((A_218 (-> tptp.hoare_1708887482_state Bool)) (B_145 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_218) B_145) (=> (@ tptp.finite1625599783_state B_145) (@ tptp.finite1625599783_state A_218)))) (forall ((A_218 (-> tptp.pname Bool)) (B_145 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_218) B_145) (=> (@ tptp.finite_finite_pname B_145) (@ tptp.finite_finite_pname A_218)))) (forall ((A_217 (-> (-> tptp.pname Bool) Bool)) (B_144 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o B_144) (=> (@ (@ tptp.ord_le1205211808me_o_o A_217) B_144) (@ tptp.finite297249702name_o A_217)))) (forall ((A_217 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_144 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o B_144) (=> (@ (@ tptp.ord_le1728773982te_o_o A_217) B_144) (@ tptp.finite1329924456tate_o A_217)))) (forall ((A_217 (-> tptp.hoare_1708887482_state Bool)) (B_144 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_144) (=> (@ (@ tptp.ord_le777019615tate_o A_217) B_144) (@ tptp.finite1625599783_state A_217)))) (forall ((A_217 (-> tptp.pname Bool)) (B_144 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_144) (=> (@ (@ tptp.ord_less_eq_pname_o A_217) B_144) (@ tptp.finite_finite_pname A_217)))) (forall ((A_216 tptp.pname) (C_62 (-> tptp.pname Bool)) (D_6 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_216))) (=> (@ (@ tptp.ord_less_eq_pname_o C_62) D_6) (@ (@ tptp.ord_less_eq_pname_o (@ _let_1 C_62)) (@ _let_1 D_6))))) (forall ((A_216 tptp.com) (C_62 (-> tptp.com Bool)) (D_6 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_216))) (=> (@ (@ tptp.ord_less_eq_com_o C_62) D_6) (@ (@ tptp.ord_less_eq_com_o (@ _let_1 C_62)) (@ _let_1 D_6))))) (forall ((A_216 tptp.hoare_1708887482_state) (C_62 (-> tptp.hoare_1708887482_state Bool)) (D_6 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_216))) (=> (@ (@ tptp.ord_le777019615tate_o C_62) D_6) (@ (@ tptp.ord_le777019615tate_o (@ _let_1 C_62)) (@ _let_1 D_6))))) (forall ((X_106 tptp.com) (A_215 (-> tptp.com Bool))) (= (@ (@ tptp.member_com X_106) A_215) (@ A_215 X_106))) (forall ((X_106 tptp.hoare_1708887482_state) (A_215 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.member451959335_state X_106) A_215) (@ A_215 X_106))) (forall ((X_106 tptp.pname) (A_215 (-> tptp.pname Bool))) (= (@ (@ tptp.member_pname X_106) A_215) (@ A_215 X_106))) (forall ((P_40 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec1568722789_state P_40) P_40)) (forall ((P_40 (-> tptp.pname Bool))) (= (@ tptp.collect_pname P_40) P_40)) (forall ((P_40 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.collect_pname_o P_40) P_40)) (forall ((P_40 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.collec219771562tate_o P_40) P_40)) (forall ((B_143 tptp.pname) (A_214 (-> tptp.pname Bool)) (B_142 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_214))) (=> (@ _let_1 B_142) (@ _let_1 (@ (@ tptp.insert_pname B_143) B_142))))) (forall ((B_143 tptp.com) (A_214 (-> tptp.com Bool)) (B_142 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.ord_less_eq_com_o A_214))) (=> (@ _let_1 B_142) (@ _let_1 (@ (@ tptp.insert_com B_143) B_142))))) (forall ((B_143 tptp.hoare_1708887482_state) (A_214 (-> tptp.hoare_1708887482_state Bool)) (B_142 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_214))) (=> (@ _let_1 B_142) (@ _let_1 (@ (@ tptp.insert528405184_state B_143) B_142))))) (forall ((B_141 (-> tptp.com Bool)) (X_105 tptp.com) (A_213 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.ord_less_eq_com_o A_213))) (=> (not (@ (@ tptp.member_com X_105) A_213)) (= (@ _let_1 (@ (@ tptp.insert_com X_105) B_141)) (@ _let_1 B_141))))) (forall ((B_141 (-> tptp.pname Bool)) (X_105 tptp.pname) (A_213 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_213))) (=> (not (@ (@ tptp.member_pname X_105) A_213)) (= (@ _let_1 (@ (@ tptp.insert_pname X_105) B_141)) (@ _let_1 B_141))))) (forall ((B_141 (-> tptp.hoare_1708887482_state Bool)) (X_105 tptp.hoare_1708887482_state) (A_213 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_213))) (=> (not (@ (@ tptp.member451959335_state X_105) A_213)) (= (@ _let_1 (@ (@ tptp.insert528405184_state X_105) B_141)) (@ _let_1 B_141))))) (forall ((X_104 tptp.com) (A_212 (-> tptp.com Bool)) (B_140 (-> tptp.com Bool))) (= (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.insert_com X_104) A_212)) B_140) (and (@ (@ tptp.member_com X_104) B_140) (@ (@ tptp.ord_less_eq_com_o A_212) B_140)))) (forall ((X_104 tptp.pname) (A_212 (-> tptp.pname Bool)) (B_140 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.insert_pname X_104) A_212)) B_140) (and (@ (@ tptp.member_pname X_104) B_140) (@ (@ tptp.ord_less_eq_pname_o A_212) B_140)))) (forall ((X_104 tptp.hoare_1708887482_state) (A_212 (-> tptp.hoare_1708887482_state Bool)) (B_140 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.insert528405184_state X_104) A_212)) B_140) (and (@ (@ tptp.member451959335_state X_104) B_140) (@ (@ tptp.ord_le777019615tate_o A_212) B_140)))) (forall ((B_139 (-> tptp.pname Bool)) (A_211 tptp.pname)) (@ (@ tptp.ord_less_eq_pname_o B_139) (@ (@ tptp.insert_pname A_211) B_139))) (forall ((B_139 (-> tptp.com Bool)) (A_211 tptp.com)) (@ (@ tptp.ord_less_eq_com_o B_139) (@ (@ tptp.insert_com A_211) B_139))) (forall ((B_139 (-> tptp.hoare_1708887482_state Bool)) (A_211 tptp.hoare_1708887482_state)) (@ (@ tptp.ord_le777019615tate_o B_139) (@ (@ tptp.insert528405184_state A_211) B_139))) (forall ((F_78 (-> tptp.hoare_1708887482_state tptp.pname)) (X_103 tptp.hoare_1708887482_state) (A_210 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.image_1509414295_pname F_78) A_210))) (=> (@ (@ tptp.member451959335_state X_103) A_210) (= (@ (@ tptp.insert_pname (@ F_78 X_103)) _let_1) _let_1)))) (forall ((F_78 (-> tptp.hoare_1708887482_state tptp.com)) (X_103 tptp.hoare_1708887482_state) (A_210 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.image_1604448413te_com F_78) A_210))) (=> (@ (@ tptp.member451959335_state X_103) A_210) (= (@ (@ tptp.insert_com (@ F_78 X_103)) _let_1) _let_1)))) (forall ((F_78 (-> tptp.pname tptp.pname)) (X_103 tptp.pname) (A_210 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.image_pname_pname F_78) A_210))) (=> (@ (@ tptp.member_pname X_103) A_210) (= (@ (@ tptp.insert_pname (@ F_78 X_103)) _let_1) _let_1)))) (forall ((F_78 (-> tptp.pname tptp.com)) (X_103 tptp.pname) (A_210 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.image_pname_com F_78) A_210))) (=> (@ (@ tptp.member_pname X_103) A_210) (= (@ (@ tptp.insert_com (@ F_78 X_103)) _let_1) _let_1)))) (forall ((F_78 (-> tptp.com tptp.hoare_1708887482_state)) (X_103 tptp.com) (A_210 (-> tptp.com Bool))) (let ((_let_1 (@ (@ tptp.image_934102463_state F_78) A_210))) (=> (@ (@ tptp.member_com X_103) A_210) (= (@ (@ tptp.insert528405184_state (@ F_78 X_103)) _let_1) _let_1)))) (forall ((F_78 (-> tptp.pname tptp.hoare_1708887482_state)) (X_103 tptp.pname) (A_210 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.image_1116629049_state F_78) A_210))) (=> (@ (@ tptp.member_pname X_103) A_210) (= (@ (@ tptp.insert528405184_state (@ F_78 X_103)) _let_1) _let_1)))) (forall ((F_77 (-> tptp.hoare_1708887482_state tptp.pname)) (A_209 tptp.hoare_1708887482_state) (B_138 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.image_1509414295_pname F_77))) (= (@ _let_1 (@ (@ tptp.insert528405184_state A_209) B_138)) (@ (@ tptp.insert_pname (@ F_77 A_209)) (@ _let_1 B_138))))) (forall ((F_77 (-> tptp.hoare_1708887482_state tptp.com)) (A_209 tptp.hoare_1708887482_state) (B_138 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.image_1604448413te_com F_77))) (= (@ _let_1 (@ (@ tptp.insert528405184_state A_209) B_138)) (@ (@ tptp.insert_com (@ F_77 A_209)) (@ _let_1 B_138))))) (forall ((F_77 (-> tptp.com tptp.hoare_1708887482_state)) (A_209 tptp.com) (B_138 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.image_934102463_state F_77))) (= (@ _let_1 (@ (@ tptp.insert_com A_209) B_138)) (@ (@ tptp.insert528405184_state (@ F_77 A_209)) (@ _let_1 B_138))))) (forall ((F_77 (-> tptp.pname tptp.hoare_1708887482_state)) (A_209 tptp.pname) (B_138 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_77))) (= (@ _let_1 (@ (@ tptp.insert_pname A_209) B_138)) (@ (@ tptp.insert528405184_state (@ F_77 A_209)) (@ _let_1 B_138))))) (forall ((F_76 (-> tptp.hoare_1708887482_state tptp.pname)) (A_208 (-> tptp.hoare_1708887482_state Bool)) (B_137 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.image_1509414295_pname F_76))) (=> (@ (@ tptp.ord_le777019615tate_o A_208) B_137) (@ (@ tptp.ord_less_eq_pname_o (@ _let_1 A_208)) (@ _let_1 B_137))))) (forall ((F_76 (-> tptp.pname tptp.hoare_1708887482_state)) (A_208 (-> tptp.pname Bool)) (B_137 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_76))) (=> (@ (@ tptp.ord_less_eq_pname_o A_208) B_137) (@ (@ tptp.ord_le777019615tate_o (@ _let_1 A_208)) (@ _let_1 B_137))))) (forall ((B_136 (-> tptp.pname Bool)) (F_75 (-> tptp.hoare_1708887482_state tptp.pname)) (A_207 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_less_eq_pname_o B_136) (@ (@ tptp.image_1509414295_pname F_75) A_207)) (exists ((AA (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.ord_le777019615tate_o AA) A_207) (= B_136 (@ (@ tptp.image_1509414295_pname F_75) AA)))))) (forall ((B_136 (-> tptp.hoare_1708887482_state Bool)) (F_75 (-> tptp.pname tptp.hoare_1708887482_state)) (A_207 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_le777019615tate_o B_136) (@ (@ tptp.image_1116629049_state F_75) A_207)) (exists ((AA (-> tptp.pname Bool))) (and (@ (@ tptp.ord_less_eq_pname_o AA) A_207) (= B_136 (@ (@ tptp.image_1116629049_state F_75) AA)))))) (forall ((M_5 (-> tptp.com tptp.option_com)) (A_206 tptp.com) (B_135 tptp.com)) (=> (= (@ M_5 A_206) (@ tptp.some_com B_135)) (@ (@ tptp.member_com A_206) (@ tptp.dom_com_com M_5)))) (forall ((M_5 (-> tptp.hoare_1708887482_state tptp.option_pname)) (A_206 tptp.hoare_1708887482_state) (B_135 tptp.pname)) (=> (= (@ M_5 A_206) (@ tptp.some_pname B_135)) (@ (@ tptp.member451959335_state A_206) (@ tptp.dom_Ho1805192458_pname M_5)))) (forall ((M_5 (-> tptp.hoare_1708887482_state tptp.option1624383643_state)) (A_206 tptp.hoare_1708887482_state) (B_135 tptp.hoare_1708887482_state)) (=> (= (@ M_5 A_206) (@ tptp.some_H1974565227_state B_135)) (@ (@ tptp.member451959335_state A_206) (@ tptp.dom_Ho1703271284_state M_5)))) (forall ((M_5 (-> tptp.pname tptp.option_pname)) (A_206 tptp.pname) (B_135 tptp.pname)) (=> (= (@ M_5 A_206) (@ tptp.some_pname B_135)) (@ (@ tptp.member_pname A_206) (@ tptp.dom_pname_pname M_5)))) (forall ((M_5 (-> tptp.pname tptp.option1624383643_state)) (A_206 tptp.pname) (B_135 tptp.hoare_1708887482_state)) (=> (= (@ M_5 A_206) (@ tptp.some_H1974565227_state B_135)) (@ (@ tptp.member_pname A_206) (@ tptp.dom_pn1412407212_state M_5)))) (forall ((M_5 (-> tptp.pname tptp.option_com)) (A_206 tptp.pname) (B_135 tptp.com)) (=> (= (@ M_5 A_206) (@ tptp.some_com B_135)) (@ (@ tptp.member_pname A_206) (@ tptp.dom_pname_com M_5)))) (forall ((P_39 (-> tptp.pname Bool)) (A_205 tptp.pname)) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert_pname A_205) tptp.bot_bot_pname_o))) (=> (not _let_1) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bot_pname_o))))) (forall ((P_39 (-> tptp.com Bool)) (A_205 tptp.com)) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert_com A_205) tptp.bot_bot_com_o))) (=> (not _let_1) (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bot_com_o))))) (forall ((P_39 (-> (-> tptp.pname Bool) Bool)) (A_205 (-> tptp.pname Bool))) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert_pname_o A_205) tptp.bot_bot_pname_o_o))) (=> (not _let_1) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bot_pname_o_o))))) (forall ((P_39 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_205 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert949073679tate_o A_205) tptp.bot_bo1678742418te_o_o))) (=> (not _let_1) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bo1678742418te_o_o))))) (forall ((P_39 (-> tptp.hoare_1708887482_state Bool)) (A_205 tptp.hoare_1708887482_state)) (let ((_let_1 (@ P_39 A_205))) (and (=> _let_1 (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (= X_3 A_205) (@ P_39 X_3)))) (@ (@ tptp.insert528405184_state A_205) tptp.bot_bo19817387tate_o))) (=> (not _let_1) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (= X_3 A_205) (@ P_39 X_3)))) tptp.bot_bo19817387tate_o))))) (forall ((P_38 (-> tptp.pname Bool)) (A_204 tptp.pname)) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert_pname A_204) tptp.bot_bot_pname_o))) (=> (not _let_1) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bot_pname_o))))) (forall ((P_38 (-> tptp.com Bool)) (A_204 tptp.com)) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert_com A_204) tptp.bot_bot_com_o))) (=> (not _let_1) (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bot_com_o))))) (forall ((P_38 (-> (-> tptp.pname Bool) Bool)) (A_204 (-> tptp.pname Bool))) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert_pname_o A_204) tptp.bot_bot_pname_o_o))) (=> (not _let_1) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bot_pname_o_o))))) (forall ((P_38 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_204 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert949073679tate_o A_204) tptp.bot_bo1678742418te_o_o))) (=> (not _let_1) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bo1678742418te_o_o))))) (forall ((P_38 (-> tptp.hoare_1708887482_state Bool)) (A_204 tptp.hoare_1708887482_state)) (let ((_let_1 (@ P_38 A_204))) (and (=> _let_1 (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (= A_204 X_3) (@ P_38 X_3)))) (@ (@ tptp.insert528405184_state A_204) tptp.bot_bo19817387tate_o))) (=> (not _let_1) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (= A_204 X_3) (@ P_38 X_3)))) tptp.bot_bo19817387tate_o))))) (forall ((A_203 tptp.pname)) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (= X_3 A_203))) (@ (@ tptp.insert_pname A_203) tptp.bot_bot_pname_o))) (forall ((A_203 tptp.com)) (= (@ tptp.collect_com (lambda ((X_3 tptp.com)) (= X_3 A_203))) (@ (@ tptp.insert_com A_203) tptp.bot_bot_com_o))) (forall ((A_203 (-> tptp.pname Bool))) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (= X_3 A_203))) (@ (@ tptp.insert_pname_o A_203) tptp.bot_bot_pname_o_o))) (forall ((A_203 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (= X_3 A_203))) (@ (@ tptp.insert949073679tate_o A_203) tptp.bot_bo1678742418te_o_o))) (forall ((A_203 tptp.hoare_1708887482_state)) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (= X_3 A_203))) (@ (@ tptp.insert528405184_state A_203) tptp.bot_bo19817387tate_o))) (forall ((A_202 tptp.pname)) (= (@ tptp.collect_pname (@ tptp.fequal_pname A_202)) (@ (@ tptp.insert_pname A_202) tptp.bot_bot_pname_o))) (forall ((A_202 tptp.com)) (= (@ tptp.collect_com (@ tptp.fequal_com A_202)) (@ (@ tptp.insert_com A_202) tptp.bot_bot_com_o))) (forall ((A_202 (-> tptp.pname Bool))) (= (@ tptp.collect_pname_o (@ tptp.fequal_pname_o A_202)) (@ (@ tptp.insert_pname_o A_202) tptp.bot_bot_pname_o_o))) (forall ((A_202 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec219771562tate_o (@ tptp.fequal1436017556tate_o A_202)) (@ (@ tptp.insert949073679tate_o A_202) tptp.bot_bo1678742418te_o_o))) (forall ((A_202 tptp.hoare_1708887482_state)) (= (@ tptp.collec1568722789_state (@ tptp.fequal224822779_state A_202)) (@ (@ tptp.insert528405184_state A_202) tptp.bot_bo19817387tate_o))) (forall ((C_34 tptp.com) (G_7 (-> tptp.hoare_1708887482_state Bool))) (=> tptp.hoare_1160767572gleton (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) (@ tptp.dom_pname_com tptp.body)) (@ (@ tptp.hoare_90032982_state G_7) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 X_3))) tptp.bot_bo19817387tate_o)))) (=> (@ tptp.wt C_34) (@ (@ tptp.hoare_90032982_state G_7) (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)))))) _let_8 (forall ((B_134 tptp.hoare_1708887482_state) (F_74 (-> tptp.com tptp.hoare_1708887482_state)) (A_201 (-> tptp.com Bool))) (=> (@ (@ tptp.member451959335_state B_134) (@ (@ tptp.image_934102463_state F_74) A_201)) (not (forall ((X_3 tptp.com)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member_com X_3) A_201))))))) (forall ((B_134 tptp.pname) (F_74 (-> tptp.com tptp.pname)) (A_201 (-> tptp.com Bool))) (=> (@ (@ tptp.member_pname B_134) (@ (@ tptp.image_com_pname F_74) A_201)) (not (forall ((X_3 tptp.com)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member_com X_3) A_201))))))) (forall ((B_134 tptp.com) (F_74 (-> tptp.hoare_1708887482_state tptp.com)) (A_201 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member_com B_134) (@ (@ tptp.image_1604448413te_com F_74) A_201)) (not (forall ((X_3 tptp.hoare_1708887482_state)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member451959335_state X_3) A_201))))))) (forall ((B_134 tptp.com) (F_74 (-> tptp.pname tptp.com)) (A_201 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_com B_134) (@ (@ tptp.image_pname_com F_74) A_201)) (not (forall ((X_3 tptp.pname)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member_pname X_3) A_201))))))) (forall ((B_134 tptp.hoare_1708887482_state) (F_74 (-> tptp.pname tptp.hoare_1708887482_state)) (A_201 (-> tptp.pname Bool))) (=> (@ (@ tptp.member451959335_state B_134) (@ (@ tptp.image_1116629049_state F_74) A_201)) (not (forall ((X_3 tptp.pname)) (=> (= B_134 (@ F_74 X_3)) (not (@ (@ tptp.member_pname X_3) A_201))))))) (forall ((P_37 (-> (-> tptp.com Bool) Bool)) (A_200 (-> tptp.com Bool)) (F_73 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com F_73) (=> (@ (@ tptp.ord_less_eq_com_o F_73) A_200) (=> (@ P_37 tptp.bot_bot_com_o) (=> (forall ((A_6 tptp.com) (F_53 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com A_6))) (=> (@ tptp.finite_finite_com F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert_com A_6) F_53)))))))) (@ P_37 F_73)))))) (forall ((P_37 (-> (-> (-> tptp.pname Bool) Bool) Bool)) (A_200 (-> (-> tptp.pname Bool) Bool)) (F_73 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_73) (=> (@ (@ tptp.ord_le1205211808me_o_o F_73) A_200) (=> (@ P_37 tptp.bot_bot_pname_o_o) (=> (forall ((A_6 (-> tptp.pname Bool)) (F_53 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ tptp.member_pname_o A_6))) (=> (@ tptp.finite297249702name_o F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert_pname_o A_6) F_53)))))))) (@ P_37 F_73)))))) (forall ((P_37 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool)) (A_200 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_73 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_73) (=> (@ (@ tptp.ord_le1728773982te_o_o F_73) A_200) (=> (@ P_37 tptp.bot_bo1678742418te_o_o) (=> (forall ((A_6 (-> tptp.hoare_1708887482_state Bool)) (F_53 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ tptp.member814030440tate_o A_6))) (=> (@ tptp.finite1329924456tate_o F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert949073679tate_o A_6) F_53)))))))) (@ P_37 F_73)))))) (forall ((P_37 (-> (-> tptp.pname Bool) Bool)) (A_200 (-> tptp.pname Bool)) (F_73 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_73) (=> (@ (@ tptp.ord_less_eq_pname_o F_73) A_200) (=> (@ P_37 tptp.bot_bot_pname_o) (=> (forall ((A_6 tptp.pname) (F_53 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname A_6))) (=> (@ tptp.finite_finite_pname F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert_pname A_6) F_53)))))))) (@ P_37 F_73)))))) (forall ((P_37 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_200 (-> tptp.hoare_1708887482_state Bool)) (F_73 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_73) (=> (@ (@ tptp.ord_le777019615tate_o F_73) A_200) (=> (@ P_37 tptp.bot_bo19817387tate_o) (=> (forall ((A_6 tptp.hoare_1708887482_state) (F_53 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state A_6))) (=> (@ tptp.finite1625599783_state F_53) (=> (@ _let_1 A_200) (=> (not (@ _let_1 F_53)) (=> (@ P_37 F_53) (@ P_37 (@ (@ tptp.insert528405184_state A_6) F_53)))))))) (@ P_37 F_73)))))) (forall ((P tptp.pname)) (=> (@ tptp.wt (@ tptp.body_1 P)) (not (forall ((Y_4 tptp.com)) (not (= (@ tptp.body P) (@ tptp.some_com Y_4))))))) (forall ((B_133 (-> tptp.com Bool)) (A_199 (-> tptp.com Bool))) (=> (forall ((X_3 tptp.com)) (let ((_let_1 (@ tptp.member_com X_3))) (=> (@ _let_1 A_199) (@ _let_1 B_133)))) (@ (@ tptp.ord_less_eq_com_o A_199) B_133))) (forall ((B_133 (-> tptp.hoare_1708887482_state Bool)) (A_199 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (=> (@ _let_1 A_199) (@ _let_1 B_133)))) (@ (@ tptp.ord_le777019615tate_o A_199) B_133))) (forall ((B_133 (-> tptp.pname Bool)) (A_199 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (=> (@ _let_1 A_199) (@ _let_1 B_133)))) (@ (@ tptp.ord_less_eq_pname_o A_199) B_133))) (forall ((F_72 (-> (-> tptp.pname Bool) tptp.hoare_1708887482_state)) (A_198 (-> (-> tptp.pname Bool) Bool)) (B_132 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_132) (=> (@ (@ tptp.ord_le777019615tate_o B_132) (@ (@ tptp.image_1922967206_state F_72) A_198)) (exists ((C_61 (-> (-> tptp.pname Bool) Bool))) (and (@ (@ tptp.ord_le1205211808me_o_o C_61) A_198) (@ tptp.finite297249702name_o C_61) (= B_132 (@ (@ tptp.image_1922967206_state F_72) C_61))))))) (forall ((F_72 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state)) (A_198 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_132 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_132) (=> (@ (@ tptp.ord_le777019615tate_o B_132) (@ (@ tptp.image_27005066_state F_72) A_198)) (exists ((C_61 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (and (@ (@ tptp.ord_le1728773982te_o_o C_61) A_198) (@ tptp.finite1329924456tate_o C_61) (= B_132 (@ (@ tptp.image_27005066_state F_72) C_61))))))) (forall ((F_72 (-> (-> tptp.pname Bool) tptp.pname)) (A_198 (-> (-> tptp.pname Bool) Bool)) (B_132 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_132) (=> (@ (@ tptp.ord_less_eq_pname_o B_132) (@ (@ tptp.image_pname_o_pname F_72) A_198)) (exists ((C_61 (-> (-> tptp.pname Bool) Bool))) (and (@ (@ tptp.ord_le1205211808me_o_o C_61) A_198) (@ tptp.finite297249702name_o C_61) (= B_132 (@ (@ tptp.image_pname_o_pname F_72) C_61))))))) (forall ((F_72 (-> (-> tptp.hoare_1708887482_state Bool) tptp.pname)) (A_198 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_132 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_132) (=> (@ (@ tptp.ord_less_eq_pname_o B_132) (@ (@ tptp.image_2051418740_pname F_72) A_198)) (exists ((C_61 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (and (@ (@ tptp.ord_le1728773982te_o_o C_61) A_198) (@ tptp.finite1329924456tate_o C_61) (= B_132 (@ (@ tptp.image_2051418740_pname F_72) C_61))))))) (forall ((F_72 (-> tptp.hoare_1708887482_state 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tptp.hoare_1708887482_state Bool)) (Procs_3 (-> tptp.pname Bool))) (=> (@ (@ tptp.hoare_90032982_state (@ (@ tptp.semila1122118281tate_o G_7) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn)))) Procs_3))) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.the_com (@ tptp.body Pn))))) Procs_3)) (=> (@ tptp.finite_finite_pname Procs_3) (@ (@ tptp.hoare_90032982_state G_7) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ tptp.hoare_Mirabelle_MGT (@ tptp.body_1 Pn)))) Procs_3))))) (forall ((A_195 tptp.com) (M_4 (-> tptp.com tptp.option_com))) (=> (@ (@ tptp.member_com A_195) (@ tptp.dom_com_com M_4)) (exists ((B_131 tptp.com)) (= (@ M_4 A_195) (@ tptp.some_com B_131))))) (forall ((A_195 tptp.hoare_1708887482_state) (M_4 (-> tptp.hoare_1708887482_state tptp.option_pname))) (=> (@ (@ tptp.member451959335_state A_195) (@ tptp.dom_Ho1805192458_pname M_4)) (exists ((B_131 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Com_3) (= Fun2_2 Fun2_1)))) (forall ((A_190 (-> tptp.com Bool)) (C_58 tptp.com) (B_127 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_58))) (=> (@ _let_1 B_127) (@ _let_1 (@ (@ tptp.semila1562558655_com_o A_190) B_127))))) (forall ((A_190 (-> tptp.hoare_1708887482_state Bool)) (C_58 tptp.hoare_1708887482_state) (B_127 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_58))) (=> (@ _let_1 B_127) (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_190) B_127))))) (forall ((A_190 (-> tptp.pname Bool)) (C_58 tptp.pname) (B_127 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_58))) (=> (@ _let_1 B_127) (@ _let_1 (@ (@ tptp.semila1780557381name_o A_190) B_127))))) (forall ((B_126 (-> tptp.com Bool)) (C_57 tptp.com) (A_189 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_57))) (=> (@ _let_1 A_189) (@ _let_1 (@ (@ tptp.semila1562558655_com_o A_189) B_126))))) (forall ((B_126 (-> tptp.hoare_1708887482_state Bool)) (C_57 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(= (@ _let_1 (@ (@ tptp.semila1562558655_com_o A_185) B_122)) (or (@ _let_1 A_185) (@ _let_1 B_122))))) (forall ((C_55 tptp.hoare_1708887482_state) (A_185 (-> tptp.hoare_1708887482_state Bool)) (B_122 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_55))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_185) B_122)) (or (@ _let_1 A_185) (@ _let_1 B_122))))) (forall ((C_55 tptp.pname) (A_185 (-> tptp.pname Bool)) (B_122 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_55))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o A_185) B_122)) (or (@ _let_1 A_185) (@ _let_1 B_122))))) (forall ((A_184 (-> tptp.pname Bool)) (B_121 (-> tptp.pname Bool)) (C_54 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_184))) (let ((_let_2 (@ tptp.semila1780557381name_o B_121))) (= (@ _let_1 (@ _let_2 C_54)) (@ _let_2 (@ _let_1 C_54)))))) (forall ((A_184 (-> tptp.hoare_1708887482_state Bool)) (B_121 (-> tptp.hoare_1708887482_state Bool)) (C_54 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_184))) (let ((_let_2 (@ tptp.semila1122118281tate_o B_121))) (= (@ _let_1 (@ _let_2 C_54)) (@ _let_2 (@ _let_1 C_54)))))) (forall ((A_183 (-> tptp.pname Bool)) (B_120 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_183))) (let ((_let_2 (@ _let_1 B_120))) (= (@ _let_1 _let_2) _let_2)))) (forall ((A_183 (-> tptp.hoare_1708887482_state Bool)) (B_120 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_183))) (let ((_let_2 (@ _let_1 B_120))) (= (@ _let_1 _let_2) _let_2)))) (forall ((A_182 (-> tptp.pname Bool)) (B_119 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_182) B_119) (@ (@ tptp.semila1780557381name_o B_119) A_182))) (forall ((A_182 (-> tptp.hoare_1708887482_state Bool)) (B_119 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_182) B_119) (@ (@ tptp.semila1122118281tate_o B_119) A_182))) (forall ((A_181 (-> tptp.com Bool)) (B_118 (-> tptp.com Bool))) (= (@ (@ tptp.semila1562558655_com_o A_181) B_118) (@ tptp.collect_com (lambda ((X_3 tptp.com)) (let ((_let_1 (@ tptp.member_com X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))) (forall ((A_181 (-> (-> tptp.pname Bool) Bool)) (B_118 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.semila181081674me_o_o A_181) B_118) (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname_o X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))) (forall ((A_181 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_118 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.semila1853742644te_o_o A_181) B_118) (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))) (forall ((A_181 (-> tptp.hoare_1708887482_state Bool)) (B_118 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_181) B_118) (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))) (forall ((A_181 (-> tptp.pname Bool)) (B_118 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_181) B_118) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (or (@ _let_1 A_181) (@ _let_1 B_118))))))) (forall ((A_180 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_180) A_180) A_180)) (forall ((A_180 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_180) A_180) A_180)) (forall ((P_31 (-> tptp.pname Bool)) (Q_22 (-> tptp.pname Bool))) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (or (@ P_31 X_3) (@ Q_22 X_3)))) (@ (@ tptp.semila1780557381name_o (@ tptp.collect_pname P_31)) (@ tptp.collect_pname Q_22)))) (forall ((P_31 (-> (-> tptp.pname Bool) Bool)) (Q_22 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (or (@ P_31 X_3) (@ Q_22 X_3)))) (@ (@ tptp.semila181081674me_o_o (@ tptp.collect_pname_o P_31)) (@ tptp.collect_pname_o Q_22)))) (forall ((P_31 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (Q_22 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (or (@ P_31 X_3) (@ Q_22 X_3)))) (@ (@ tptp.semila1853742644te_o_o (@ tptp.collec219771562tate_o P_31)) (@ tptp.collec219771562tate_o Q_22)))) (forall ((P_31 (-> tptp.hoare_1708887482_state Bool)) (Q_22 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (or (@ P_31 X_3) (@ Q_22 X_3)))) (@ (@ tptp.semila1122118281tate_o (@ tptp.collec1568722789_state P_31)) (@ tptp.collec1568722789_state Q_22)))) (forall ((A_179 (-> tptp.pname Bool)) (B_117 (-> tptp.pname Bool))) (= (= (@ (@ tptp.semila1780557381name_o A_179) B_117) tptp.bot_bot_pname_o) (and (= A_179 tptp.bot_bot_pname_o) (= B_117 tptp.bot_bot_pname_o)))) (forall ((A_179 (-> tptp.com Bool)) (B_117 (-> tptp.com Bool))) (= (= (@ (@ tptp.semila1562558655_com_o A_179) B_117) tptp.bot_bot_com_o) (and (= A_179 tptp.bot_bot_com_o) (= B_117 tptp.bot_bot_com_o)))) (forall ((A_179 (-> tptp.hoare_1708887482_state Bool)) (B_117 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.semila1122118281tate_o A_179) B_117) tptp.bot_bo19817387tate_o) (and (= A_179 tptp.bot_bo19817387tate_o) (= B_117 tptp.bot_bo19817387tate_o)))) (forall ((A_178 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o A_178) tptp.bot_bot_pname_o) A_178)) (forall ((A_178 (-> tptp.com Bool))) (= (@ (@ tptp.semila1562558655_com_o A_178) tptp.bot_bot_com_o) A_178)) (forall ((A_178 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o A_178) tptp.bot_bo19817387tate_o) A_178)) (forall ((B_116 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o tptp.bot_bot_pname_o) B_116) B_116)) (forall ((B_116 (-> tptp.com Bool))) (= (@ (@ tptp.semila1562558655_com_o tptp.bot_bot_com_o) B_116) B_116)) (forall ((B_116 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o tptp.bot_bo19817387tate_o) B_116) B_116)) (forall ((G_29 (-> (-> tptp.pname Bool) Bool)) (F_68 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_68) (=> (@ tptp.finite297249702name_o G_29) (@ tptp.finite297249702name_o (@ (@ tptp.semila181081674me_o_o F_68) G_29))))) (forall ((G_29 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_68 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_68) (=> (@ tptp.finite1329924456tate_o G_29) (@ tptp.finite1329924456tate_o (@ (@ tptp.semila1853742644te_o_o F_68) G_29))))) (forall ((G_29 (-> tptp.hoare_1708887482_state Bool)) (F_68 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_68) (=> (@ tptp.finite1625599783_state G_29) (@ tptp.finite1625599783_state (@ (@ tptp.semila1122118281tate_o F_68) G_29))))) (forall ((G_29 (-> tptp.pname Bool)) (F_68 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_68) (=> (@ tptp.finite_finite_pname G_29) (@ tptp.finite_finite_pname (@ (@ tptp.semila1780557381name_o F_68) G_29))))) (forall ((F_67 (-> (-> tptp.pname Bool) Bool)) (G_28 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.finite297249702name_o (@ (@ tptp.semila181081674me_o_o F_67) G_28)) (and (@ tptp.finite297249702name_o F_67) (@ tptp.finite297249702name_o G_28)))) (forall ((F_67 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (G_28 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.finite1329924456tate_o (@ (@ tptp.semila1853742644te_o_o F_67) G_28)) (and (@ tptp.finite1329924456tate_o F_67) (@ tptp.finite1329924456tate_o G_28)))) (forall ((F_67 (-> tptp.hoare_1708887482_state Bool)) (G_28 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.finite1625599783_state (@ (@ tptp.semila1122118281tate_o F_67) G_28)) (and (@ tptp.finite1625599783_state F_67) (@ tptp.finite1625599783_state G_28)))) (forall ((F_67 (-> tptp.pname Bool)) (G_28 (-> tptp.pname Bool))) (= (@ tptp.finite_finite_pname (@ (@ tptp.semila1780557381name_o F_67) G_28)) (and (@ tptp.finite_finite_pname F_67) (@ tptp.finite_finite_pname G_28)))) (forall ((A_177 tptp.pname) (B_115 (-> tptp.pname Bool)) (C_53 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_177))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 B_115)) C_53) (@ _let_1 (@ (@ tptp.semila1780557381name_o B_115) C_53))))) (forall ((A_177 tptp.com) (B_115 (-> tptp.com Bool)) (C_53 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_177))) (= (@ (@ tptp.semila1562558655_com_o (@ _let_1 B_115)) C_53) (@ _let_1 (@ (@ tptp.semila1562558655_com_o B_115) C_53))))) (forall ((A_177 tptp.hoare_1708887482_state) (B_115 (-> tptp.hoare_1708887482_state Bool)) (C_53 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_177))) (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_115)) C_53) (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_115) C_53))))) (forall ((A_176 (-> tptp.pname Bool)) (A_175 tptp.pname) (B_114 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_176))) (let ((_let_2 (@ tptp.insert_pname A_175))) (= (@ _let_1 (@ _let_2 B_114)) (@ _let_2 (@ _let_1 B_114)))))) (forall ((A_176 (-> tptp.com Bool)) (A_175 tptp.com) (B_114 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.semila1562558655_com_o A_176))) (let ((_let_2 (@ tptp.insert_com A_175))) (= (@ _let_1 (@ _let_2 B_114)) (@ _let_2 (@ _let_1 B_114)))))) (forall ((A_176 (-> tptp.hoare_1708887482_state Bool)) (A_175 tptp.hoare_1708887482_state) (B_114 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_176))) (let ((_let_2 (@ tptp.insert528405184_state A_175))) (= (@ _let_1 (@ _let_2 B_114)) (@ _let_2 (@ _let_1 B_114)))))) (forall ((B_113 (-> tptp.pname Bool)) (D_5 (-> tptp.pname Bool)) (A_174 (-> tptp.pname Bool)) (C_52 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_174) C_52) (=> (@ (@ tptp.ord_less_eq_pname_o B_113) D_5) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_174) B_113)) (@ (@ tptp.semila1780557381name_o C_52) D_5))))) (forall ((B_113 (-> tptp.hoare_1708887482_state Bool)) (D_5 (-> tptp.hoare_1708887482_state Bool)) (A_174 (-> tptp.hoare_1708887482_state Bool)) (C_52 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_174) C_52) (=> (@ (@ tptp.ord_le777019615tate_o B_113) D_5) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_174) B_113)) (@ (@ tptp.semila1122118281tate_o C_52) D_5))))) (forall ((B_112 (-> tptp.pname Bool)) (A_173 (-> tptp.pname Bool)) (C_51 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_173) C_51) (=> (@ (@ tptp.ord_less_eq_pname_o B_112) C_51) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_173) B_112)) C_51)))) (forall ((B_112 (-> tptp.hoare_1708887482_state Bool)) (A_173 (-> tptp.hoare_1708887482_state Bool)) (C_51 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_173) C_51) (=> (@ (@ tptp.ord_le777019615tate_o B_112) C_51) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_173) B_112)) C_51)))) (forall ((B_111 (-> tptp.pname Bool)) (A_172 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_111) A_172) (= (@ (@ tptp.semila1780557381name_o A_172) B_111) A_172))) (forall ((B_111 (-> tptp.hoare_1708887482_state Bool)) (A_172 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_111) A_172) (= (@ (@ tptp.semila1122118281tate_o A_172) B_111) A_172))) (forall ((A_171 (-> tptp.pname Bool)) (B_110 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_171) B_110) (= (@ (@ tptp.semila1780557381name_o A_171) B_110) B_110))) (forall ((A_171 (-> tptp.hoare_1708887482_state Bool)) (B_110 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_171) B_110) (= (@ (@ tptp.semila1122118281tate_o A_171) B_110) B_110))) (forall ((A_170 (-> tptp.pname Bool)) (B_109 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o A_170) B_109) (= (@ (@ tptp.semila1780557381name_o A_170) B_109) B_109))) (forall ((A_170 (-> tptp.hoare_1708887482_state Bool)) (B_109 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o A_170) B_109) (= (@ (@ tptp.semila1122118281tate_o A_170) B_109) B_109))) (forall ((B_108 (-> tptp.pname Bool)) (A_169 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o B_108) (@ (@ tptp.semila1780557381name_o A_169) B_108))) (forall ((B_108 (-> tptp.hoare_1708887482_state Bool)) (A_169 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o B_108) (@ (@ tptp.semila1122118281tate_o A_169) B_108))) (forall ((A_168 (-> tptp.pname Bool)) (B_107 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o A_168) (@ (@ tptp.semila1780557381name_o A_168) B_107))) (forall ((A_168 (-> tptp.hoare_1708887482_state Bool)) (B_107 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o A_168) (@ (@ tptp.semila1122118281tate_o A_168) B_107))) (forall ((F_66 (-> tptp.hoare_1708887482_state tptp.pname)) (A_167 (-> tptp.hoare_1708887482_state Bool)) (B_106 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.image_1509414295_pname F_66))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o A_167) B_106)) (@ (@ tptp.semila1780557381name_o (@ _let_1 A_167)) (@ _let_1 B_106))))) (forall ((F_66 (-> tptp.pname tptp.hoare_1708887482_state)) (A_167 (-> tptp.pname Bool)) (B_106 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_66))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o A_167) B_106)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 A_167)) (@ _let_1 B_106))))) (forall ((A_166 tptp.pname) (B_105 (-> tptp.pname Bool))) (= (@ (@ tptp.insert_pname A_166) B_105) (@ (@ tptp.semila1780557381name_o (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (= X_3 A_166)))) B_105))) (forall ((A_166 tptp.com) (B_105 (-> tptp.com Bool))) (= (@ (@ tptp.insert_com A_166) B_105) (@ (@ tptp.semila1562558655_com_o (@ tptp.collect_com (lambda ((X_3 tptp.com)) (= X_3 A_166)))) B_105))) (forall ((A_166 (-> tptp.pname Bool)) (B_105 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.insert_pname_o A_166) B_105) (@ (@ tptp.semila181081674me_o_o (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (= X_3 A_166)))) B_105))) (forall ((A_166 (-> tptp.hoare_1708887482_state Bool)) (B_105 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.insert949073679tate_o A_166) B_105) (@ (@ tptp.semila1853742644te_o_o (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (= X_3 A_166)))) B_105))) (forall ((A_166 tptp.hoare_1708887482_state) (B_105 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.insert528405184_state A_166) B_105) (@ (@ tptp.semila1122118281tate_o (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (= X_3 A_166)))) B_105))) (forall ((A_165 tptp.pname) (A_164 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_165))) (= (@ _let_1 A_164) (@ (@ tptp.semila1780557381name_o (@ _let_1 tptp.bot_bot_pname_o)) A_164)))) (forall ((A_165 tptp.com) (A_164 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_165))) (= (@ _let_1 A_164) (@ (@ tptp.semila1562558655_com_o (@ _let_1 tptp.bot_bot_com_o)) A_164)))) (forall ((A_165 tptp.hoare_1708887482_state) (A_164 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_165))) (= (@ _let_1 A_164) (@ (@ tptp.semila1122118281tate_o (@ _let_1 tptp.bot_bo19817387tate_o)) A_164)))) (forall ((G_27 (-> tptp.hoare_1708887482_state Bool)) (P_30 (-> tptp.pname tptp.state tptp.state Bool)) (Q_21 (-> tptp.pname tptp.state tptp.state Bool)) (Procs_2 (-> tptp.pname Bool))) (=> (@ (@ tptp.hoare_90032982_state (@ (@ tptp.semila1122118281tate_o G_27) (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_30 P_27)) (@ tptp.body_1 P_27)) (@ Q_21 P_27)))) Procs_2))) (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_30 P_27)) (@ tptp.the_com (@ tptp.body P_27))) (@ Q_21 P_27)))) Procs_2)) (@ (@ tptp.hoare_90032982_state G_27) (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_30 P_27)) (@ tptp.body_1 P_27)) (@ Q_21 P_27)))) Procs_2)))) (forall ((Z_20 (-> tptp.pname Bool)) (Y_50 (-> tptp.pname Bool)) (X_99 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o Z_20))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_50) X_99) (=> (@ _let_1 Y_50) (@ _let_1 X_99))))) (forall ((Z_20 Bool) (Y_50 Bool) (X_99 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o Z_20))) (=> (@ (@ tptp.ord_less_eq_o Y_50) X_99) (=> (@ _let_1 Y_50) (@ _let_1 X_99))))) (forall ((Z_20 (-> tptp.hoare_1708887482_state Bool)) (Y_50 (-> tptp.hoare_1708887482_state Bool)) (X_99 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o Z_20))) (=> (@ (@ tptp.ord_le777019615tate_o Y_50) X_99) (=> (@ _let_1 Y_50) (@ _let_1 X_99))))) (forall ((Y_49 (-> tptp.pname Bool)) (X_98 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_49) X_98) (=> (@ (@ tptp.ord_less_eq_pname_o X_98) Y_49) (= X_98 Y_49)))) (forall ((Y_49 Bool) (X_98 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_49) X_98) (=> (@ (@ tptp.ord_less_eq_o X_98) Y_49) (= X_98 Y_49)))) (forall ((Y_49 (-> tptp.hoare_1708887482_state Bool)) (X_98 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_49) X_98) (=> (@ (@ tptp.ord_le777019615tate_o X_98) Y_49) (= X_98 Y_49)))) (forall ((Z_19 (-> tptp.pname Bool)) (X_97 (-> tptp.pname Bool)) (Y_48 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_97))) (=> (@ _let_1 Y_48) (=> (@ (@ tptp.ord_less_eq_pname_o Y_48) Z_19) (@ _let_1 Z_19))))) (forall ((Z_19 Bool) (X_97 Bool) (Y_48 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_97))) (=> (@ _let_1 Y_48) (=> (@ (@ tptp.ord_less_eq_o Y_48) Z_19) (@ _let_1 Z_19))))) (forall ((Z_19 (-> tptp.hoare_1708887482_state Bool)) (X_97 (-> tptp.hoare_1708887482_state Bool)) (Y_48 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_97))) (=> (@ _let_1 Y_48) (=> (@ (@ tptp.ord_le777019615tate_o Y_48) Z_19) (@ _let_1 Z_19))))) (forall ((X_96 (-> tptp.pname Bool)) (Y_47 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o X_96) Y_47) (=> (@ (@ tptp.ord_less_eq_pname_o Y_47) X_96) (= X_96 Y_47)))) (forall ((X_96 Bool) (Y_47 Bool)) (=> (@ (@ tptp.ord_less_eq_o X_96) Y_47) (=> (@ (@ tptp.ord_less_eq_o Y_47) X_96) (= X_96 Y_47)))) (forall ((X_96 (-> tptp.hoare_1708887482_state Bool)) (Y_47 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o X_96) Y_47) (=> (@ (@ tptp.ord_le777019615tate_o Y_47) X_96) (= X_96 Y_47)))) (forall ((C_50 (-> tptp.pname Bool)) (B_104 (-> tptp.pname Bool)) (A_163 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_104) A_163) (=> (= B_104 C_50) (@ (@ tptp.ord_less_eq_pname_o C_50) A_163)))) (forall ((C_50 Bool) (B_104 Bool) (A_163 Bool)) (=> (@ (@ tptp.ord_less_eq_o B_104) A_163) (=> (= B_104 C_50) (@ (@ tptp.ord_less_eq_o C_50) A_163)))) (forall ((C_50 (-> tptp.hoare_1708887482_state Bool)) (B_104 (-> tptp.hoare_1708887482_state Bool)) (A_163 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_104) A_163) (=> (= B_104 C_50) (@ (@ tptp.ord_le777019615tate_o C_50) A_163)))) (forall ((C_49 (-> tptp.pname Bool)) (A_162 (-> tptp.pname Bool)) (B_103 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_162))) (=> (@ _let_1 B_103) (=> (= B_103 C_49) (@ _let_1 C_49))))) (forall ((C_49 Bool) (A_162 Bool) (B_103 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o A_162))) (=> (@ _let_1 B_103) (=> (= B_103 C_49) (@ _let_1 C_49))))) (forall ((C_49 (-> tptp.hoare_1708887482_state 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(@ (@ tptp.ord_less_eq_pname_o A_160) C_47)))) (forall ((C_47 Bool) (B_101 Bool) (A_160 Bool)) (=> (= A_160 B_101) (=> (@ (@ tptp.ord_less_eq_o B_101) C_47) (@ (@ tptp.ord_less_eq_o A_160) C_47)))) (forall ((C_47 (-> tptp.hoare_1708887482_state Bool)) (A_160 (-> tptp.hoare_1708887482_state Bool)) (B_101 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_160 B_101) (=> (@ (@ tptp.ord_le777019615tate_o B_101) C_47) (@ (@ tptp.ord_le777019615tate_o A_160) C_47)))) (forall ((Y_46 (-> tptp.pname Bool)) (X_95 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_46) X_95) (= (@ (@ tptp.ord_less_eq_pname_o X_95) Y_46) (= X_95 Y_46)))) (forall ((Y_46 Bool) (X_95 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_46) X_95) (= (@ (@ tptp.ord_less_eq_o X_95) Y_46) (= X_95 Y_46)))) (forall ((Y_46 (-> tptp.hoare_1708887482_state Bool)) (X_95 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_46) X_95) (= (@ (@ tptp.ord_le777019615tate_o X_95) Y_46) (= X_95 Y_46)))) (forall ((X_94 (-> tptp.pname Bool)) (Y_45 (-> tptp.pname Bool))) (=> (= X_94 Y_45) (@ (@ tptp.ord_less_eq_pname_o X_94) Y_45))) (forall ((Y_45 Bool) (X_94 Bool)) (=> (= X_94 Y_45) (@ (@ tptp.ord_less_eq_o X_94) Y_45))) (forall ((X_94 (-> tptp.hoare_1708887482_state Bool)) (Y_45 (-> tptp.hoare_1708887482_state Bool))) (=> (= X_94 Y_45) (@ (@ tptp.ord_le777019615tate_o X_94) Y_45))) (forall ((X_93 (-> tptp.pname Bool)) (Y_44 (-> tptp.pname Bool))) (= (= X_93 Y_44) (and (@ (@ tptp.ord_less_eq_pname_o X_93) Y_44) (@ (@ tptp.ord_less_eq_pname_o Y_44) X_93)))) (forall ((Y_44 Bool) (X_93 Bool)) (= (= X_93 Y_44) (and (@ (@ tptp.ord_less_eq_o X_93) Y_44) (@ (@ tptp.ord_less_eq_o Y_44) X_93)))) (forall ((X_93 (-> tptp.hoare_1708887482_state Bool)) (Y_44 (-> tptp.hoare_1708887482_state Bool))) (= (= X_93 Y_44) (and (@ (@ tptp.ord_le777019615tate_o X_93) Y_44) (@ (@ tptp.ord_le777019615tate_o Y_44) X_93)))) (forall ((A_159 tptp.pname) (A_158 tptp.pname)) (= (= (@ tptp.some_pname A_159) (@ tptp.some_pname 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tptp.bot_bot_com_o) A_155)) (forall ((A_155 Bool)) (@ (@ tptp.ord_less_eq_o tptp.bot_bot_o) A_155)) (forall ((A_155 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o tptp.bot_bo19817387tate_o) A_155)) (forall ((X_92 tptp.pname) (F_65 (-> tptp.pname Bool)) (G_24 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o F_65) G_24) (@ (@ tptp.ord_less_eq_o (@ F_65 X_92)) (@ G_24 X_92)))) (forall ((X_92 tptp.hoare_1708887482_state) (F_65 (-> tptp.hoare_1708887482_state Bool)) (G_24 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o F_65) G_24) (@ (@ tptp.ord_less_eq_o (@ F_65 X_92)) (@ G_24 X_92)))) (forall ((X_91 tptp.pname) (F_64 (-> tptp.pname Bool)) (G_23 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o F_64) G_23) (@ (@ tptp.ord_less_eq_o (@ F_64 X_91)) (@ G_23 X_91)))) (forall ((X_91 tptp.hoare_1708887482_state) (F_64 (-> tptp.hoare_1708887482_state Bool)) (G_23 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ 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(-> tptp.pname Bool))) (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) (@ C0_1 P_27)) (@ Q_17 P_27)))) U_1)) (@ _let_1 (@ (@ tptp.image_1922967206_state (lambda ((P_27 (-> tptp.pname Bool))) (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) (@ C0_1 P_27)) (@ Q_18 P_27)))) U_1))))))) (forall ((P_26 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (Q_18 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (G_21 (-> tptp.hoare_1708887482_state Bool)) (P_25 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (C0_1 (-> (-> tptp.hoare_1708887482_state Bool) tptp.com)) (Q_17 (-> (-> tptp.hoare_1708887482_state Bool) tptp.state tptp.state Bool)) (U_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_21))) (=> (@ tptp.finite1329924456tate_o U_1) (=> (forall ((P_27 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ C0_1 P_27))) (let ((_let_2 (@ tptp.hoare_90032982_state G_21))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) _let_1) (@ Q_17 P_27))) tptp.bot_bo19817387tate_o)) (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) _let_1) (@ Q_18 P_27))) tptp.bot_bo19817387tate_o)))))) (=> (@ _let_1 (@ (@ tptp.image_27005066_state (lambda ((P_27 (-> tptp.hoare_1708887482_state Bool))) (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) (@ C0_1 P_27)) (@ Q_17 P_27)))) U_1)) (@ _let_1 (@ (@ tptp.image_27005066_state (lambda ((P_27 (-> tptp.hoare_1708887482_state Bool))) (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) (@ C0_1 P_27)) (@ Q_18 P_27)))) U_1))))))) (forall ((P_26 (-> tptp.pname tptp.state tptp.state Bool)) (Q_18 (-> tptp.pname tptp.state tptp.state Bool)) (G_21 (-> tptp.hoare_1708887482_state Bool)) (P_25 (-> tptp.pname tptp.state tptp.state Bool)) (C0_1 (-> tptp.pname tptp.com)) (Q_17 (-> tptp.pname tptp.state tptp.state Bool)) (U_1 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_21))) (=> (@ tptp.finite_finite_pname U_1) (=> (forall ((P_27 tptp.pname)) (let ((_let_1 (@ C0_1 P_27))) (let ((_let_2 (@ tptp.hoare_90032982_state G_21))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) _let_1) (@ Q_17 P_27))) tptp.bot_bo19817387tate_o)) (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) _let_1) (@ Q_18 P_27))) tptp.bot_bo19817387tate_o)))))) (=> (@ _let_1 (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_25 P_27)) (@ C0_1 P_27)) (@ Q_17 P_27)))) U_1)) (@ _let_1 (@ (@ tptp.image_1116629049_state (lambda ((P_27 tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_26 P_27)) (@ C0_1 P_27)) (@ Q_18 P_27)))) U_1))))))) (forall ((G_20 (-> tptp.hoare_1708887482_state Bool)) (C_44 tptp.com) (Q_16 (-> tptp.state tptp.state Bool)) (P_24 (-> tptp.state tptp.state Bool))) (=> (forall ((Z_11 tptp.state) (S_2 tptp.state)) (=> (@ (@ P_24 Z_11) S_2) (@ (@ tptp.hoare_90032982_state G_20) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Za tptp.state) (S_3 tptp.state)) (= S_3 S_2))) C_44) (lambda ((Z_12 tptp.state) (__flatten_var_0 tptp.state)) (@ (@ Q_16 Z_11) __flatten_var_0)))) tptp.bot_bo19817387tate_o)))) (@ (@ tptp.hoare_90032982_state G_20) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_24) C_44) Q_16)) tptp.bot_bo19817387tate_o)))) (forall ((G_19 (-> tptp.hoare_1708887482_state Bool)) (P_23 (-> tptp.pname tptp.state tptp.state Bool)) (Q_15 (-> tptp.pname tptp.state tptp.state Bool)) (Procs (-> tptp.pname Bool))) (=> (@ (@ tptp.hoare_496444244_state (@ (@ tptp.semila1122118281tate_o G_19) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_23 Pn)) (@ tptp.body_1 Pn)) (@ Q_15 Pn)))) Procs))) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_23 Pn)) (@ tptp.the_com (@ tptp.body Pn))) (@ Q_15 Pn)))) Procs)) (@ (@ tptp.hoare_496444244_state G_19) (@ (@ tptp.image_1116629049_state (lambda ((Pn tptp.pname)) (@ (@ (@ tptp.hoare_858012674_state (@ P_23 Pn)) (@ tptp.body_1 Pn)) (@ Q_15 Pn)))) Procs)))) (forall ((P_22 (-> tptp.state tptp.state Bool)) (G_18 (-> tptp.hoare_1708887482_state Bool)) (P_21 (-> tptp.state tptp.state Bool)) (C_43 tptp.com) (Q_14 (-> tptp.state tptp.state Bool))) (let ((_let_1 (@ tptp.hoare_90032982_state G_18))) (=> (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_21) C_43) Q_14)) tptp.bot_bo19817387tate_o)) (=> (forall ((Z_11 tptp.state) (S_2 tptp.state)) (=> (@ (@ P_22 Z_11) S_2) (@ (@ P_21 Z_11) S_2))) (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_22) C_43) Q_14)) tptp.bot_bo19817387tate_o)))))) (forall ((Q_13 (-> tptp.state tptp.state Bool)) (G_17 (-> tptp.hoare_1708887482_state Bool)) (P_20 (-> 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(C_39 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_146))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 B_93)) C_39) (@ _let_1 (@ (@ tptp.semila1780557381name_o B_93) C_39))))) (forall ((A_146 Bool) (B_93 Bool) (C_39 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o A_146))) (= (@ (@ tptp.semila10642723_sup_o (@ _let_1 B_93)) C_39) (@ _let_1 (@ (@ tptp.semila10642723_sup_o B_93) C_39))))) (forall ((A_146 (-> tptp.hoare_1708887482_state Bool)) (B_93 (-> tptp.hoare_1708887482_state Bool)) (C_39 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_146))) (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_93)) C_39) (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_93) C_39))))) (forall ((X_72 (-> tptp.pname Bool)) (Y_36 (-> tptp.pname Bool)) (Z_16 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_72))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_36)) Z_16) (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_36) Z_16))))) (forall ((X_72 Bool) (Y_36 Bool) (Z_16 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_72))) (= (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_36)) Z_16) (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_36) Z_16))))) (forall ((X_72 (-> tptp.hoare_1708887482_state Bool)) (Y_36 (-> tptp.hoare_1708887482_state Bool)) (Z_16 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_72))) (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_36)) Z_16) (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_36) Z_16))))) (forall ((X_71 (-> tptp.pname Bool)) (Y_35 (-> tptp.pname Bool)) (Z_15 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_71))) (= (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_35)) Z_15) (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_35) Z_15))))) (forall ((X_71 Bool) (Y_35 Bool) (Z_15 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_71))) (= (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_35)) Z_15) (@ _let_1 (@ (@ 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(=> (@ (@ tptp.ord_less_eq_o Y_26) X_59) (=> (@ (@ tptp.ord_less_eq_o Z_13) X_59) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o Y_26) Z_13)) X_59)))) (forall ((Z_13 (-> tptp.hoare_1708887482_state Bool)) (Y_26 (-> tptp.hoare_1708887482_state Bool)) (X_59 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_26) X_59) (=> (@ (@ tptp.ord_le777019615tate_o Z_13) X_59) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o Y_26) Z_13)) X_59)))) (forall ((B_89 (-> tptp.pname Bool)) (D_4 (-> tptp.pname Bool)) (A_142 (-> tptp.pname Bool)) (C_38 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_142) C_38) (=> (@ (@ tptp.ord_less_eq_pname_o B_89) D_4) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_142) B_89)) (@ (@ tptp.semila1780557381name_o C_38) D_4))))) (forall ((B_89 Bool) (D_4 Bool) (A_142 Bool) (C_38 Bool)) (=> (@ (@ tptp.ord_less_eq_o A_142) C_38) (=> (@ (@ tptp.ord_less_eq_o B_89) D_4) (@ (@ 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tptp.semila1562558655_com_o X_56) tptp.bot_bot_com_o) X_56)) (forall ((X_56 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_56) tptp.bot_bot_o) X_56)) (forall ((X_56 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_56) tptp.bot_bo19817387tate_o) X_56)) (forall ((X_55 tptp.pname) (P_15 (-> tptp.pname Bool)) (A_140 tptp.option_pname)) (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) (@ tptp.set_pname A_140)) (@ P_15 X_3))) (=> (= A_140 (@ tptp.some_pname X_55)) (@ P_15 X_55)))) (forall ((X_55 tptp.hoare_1708887482_state) (P_15 (-> tptp.hoare_1708887482_state Bool)) (A_140 tptp.option1624383643_state)) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) (@ tptp.set_Ho525251890_state A_140)) (@ P_15 X_3))) (=> (= A_140 (@ tptp.some_H1974565227_state X_55)) (@ P_15 X_55)))) (forall ((X_55 tptp.com) (P_15 (-> tptp.com Bool)) (A_140 tptp.option_com)) (=> (forall ((X_3 tptp.com)) (=> (@ (@ tptp.member_com X_3) (@ tptp.set_com A_140)) (@ P_15 X_3))) (=> (= A_140 (@ tptp.some_com X_55)) (@ P_15 X_55)))) (forall ((B_87 (-> (-> tptp.pname Bool) Bool)) (A_139 (-> (-> tptp.pname Bool) Bool)) (F_59 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_58 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite697516351name_o F_59) F_58) (=> (@ tptp.finite297249702name_o A_139) (=> (not (= A_139 tptp.bot_bot_pname_o_o)) (=> (@ tptp.finite297249702name_o B_87) (=> (not (= B_87 tptp.bot_bot_pname_o_o)) (= (@ F_58 (@ (@ tptp.semila181081674me_o_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))) (forall ((B_87 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_139 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_59 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_58 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite621643279tate_o F_59) F_58) (=> (@ tptp.finite1329924456tate_o A_139) (=> (not (= A_139 tptp.bot_bo1678742418te_o_o)) (=> (@ tptp.finite1329924456tate_o B_87) (=> (not (= B_87 tptp.bot_bo1678742418te_o_o)) (= (@ F_58 (@ (@ tptp.semila1853742644te_o_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))) (forall ((B_87 (-> tptp.com Bool)) (A_139 (-> tptp.com Bool)) (F_59 (-> tptp.com tptp.com tptp.com)) (F_58 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite666746948em_com F_59) F_58) (=> (@ tptp.finite_finite_com A_139) (=> (not (= A_139 tptp.bot_bot_com_o)) (=> (@ tptp.finite_finite_com B_87) (=> (not (= B_87 tptp.bot_bot_com_o)) (= (@ F_58 (@ (@ tptp.semila1562558655_com_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))) (forall ((B_87 (-> tptp.hoare_1708887482_state Bool)) (A_139 (-> tptp.hoare_1708887482_state Bool)) (F_59 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_58 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_59) F_58) (=> (@ tptp.finite1625599783_state A_139) (=> (not (= A_139 tptp.bot_bo19817387tate_o)) (=> (@ tptp.finite1625599783_state B_87) (=> (not (= B_87 tptp.bot_bo19817387tate_o)) (= (@ F_58 (@ (@ tptp.semila1122118281tate_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))) (forall ((B_87 (-> tptp.pname Bool)) (A_139 (-> tptp.pname Bool)) (F_59 (-> tptp.pname tptp.pname tptp.pname)) (F_58 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_59) F_58) (=> (@ tptp.finite_finite_pname A_139) (=> (not (= A_139 tptp.bot_bot_pname_o)) (=> (@ tptp.finite_finite_pname B_87) (=> (not (= B_87 tptp.bot_bot_pname_o)) (= (@ F_58 (@ (@ tptp.semila1780557381name_o A_139) B_87)) (@ (@ F_59 (@ F_58 A_139)) (@ F_58 B_87))))))))) (forall ((B_86 (-> (-> tptp.pname Bool) Bool)) (A_138 (-> (-> tptp.pname Bool) Bool)) (F_57 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_56 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite697516351name_o F_57) F_56) (=> (@ tptp.finite297249702name_o A_138) (=> (not (= B_86 tptp.bot_bot_pname_o_o)) (=> (@ (@ tptp.ord_le1205211808me_o_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))) (forall ((B_86 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_138 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_57 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_56 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite621643279tate_o F_57) F_56) (=> (@ tptp.finite1329924456tate_o A_138) (=> (not (= B_86 tptp.bot_bo1678742418te_o_o)) (=> (@ (@ tptp.ord_le1728773982te_o_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))) (forall ((B_86 (-> tptp.com Bool)) (A_138 (-> tptp.com Bool)) (F_57 (-> tptp.com tptp.com tptp.com)) (F_56 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite666746948em_com F_57) F_56) (=> (@ tptp.finite_finite_com A_138) (=> (not (= B_86 tptp.bot_bot_com_o)) (=> (@ (@ tptp.ord_less_eq_com_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))) (forall ((B_86 (-> tptp.hoare_1708887482_state Bool)) (A_138 (-> tptp.hoare_1708887482_state Bool)) (F_57 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_56 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite1347568576_state F_57) F_56) (=> (@ tptp.finite1625599783_state A_138) (=> (not (= B_86 tptp.bot_bo19817387tate_o)) (=> (@ (@ tptp.ord_le777019615tate_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))) (forall ((B_86 (-> tptp.pname Bool)) (A_138 (-> tptp.pname Bool)) (F_57 (-> tptp.pname tptp.pname tptp.pname)) (F_56 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ F_56 A_138))) (=> (@ (@ tptp.finite89670078_pname F_57) F_56) (=> (@ tptp.finite_finite_pname A_138) (=> (not (= B_86 tptp.bot_bot_pname_o)) (=> (@ (@ tptp.ord_less_eq_pname_o B_86) A_138) (= (@ (@ F_57 (@ F_56 B_86)) _let_1) _let_1))))))) (forall ((G_11 (-> tptp.hoare_1708887482_state Bool)) (P_14 (-> tptp.state tptp.state Bool))) (@ (@ tptp.hoare_90032982_state G_11) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_14) tptp.skip) P_14)) tptp.bot_bo19817387tate_o))) (forall ((X_54 tptp.com) (A_137 (-> tptp.com Bool)) (F_55 (-> tptp.com tptp.com tptp.com)) (F_54 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite666746948em_com F_55) F_54) (=> (@ tptp.finite_finite_com A_137) (=> (not (= A_137 tptp.bot_bot_com_o)) (= (@ F_54 (@ (@ tptp.insert_com X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))) (forall ((X_54 (-> tptp.pname Bool)) (A_137 (-> (-> tptp.pname Bool) Bool)) (F_55 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_54 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite697516351name_o F_55) F_54) (=> (@ tptp.finite297249702name_o A_137) (=> (not (= A_137 tptp.bot_bot_pname_o_o)) (= (@ F_54 (@ (@ tptp.insert_pname_o X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))) (forall ((X_54 (-> tptp.hoare_1708887482_state Bool)) (A_137 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_55 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_54 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite621643279tate_o F_55) F_54) (=> (@ tptp.finite1329924456tate_o A_137) (=> (not (= A_137 tptp.bot_bo1678742418te_o_o)) (= (@ F_54 (@ (@ tptp.insert949073679tate_o X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))) (forall ((X_54 tptp.pname) (A_137 (-> tptp.pname Bool)) (F_55 (-> tptp.pname tptp.pname tptp.pname)) (F_54 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_55) F_54) (=> (@ tptp.finite_finite_pname A_137) (=> (not (= A_137 tptp.bot_bot_pname_o)) (= (@ F_54 (@ (@ tptp.insert_pname X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))) (forall ((X_54 tptp.hoare_1708887482_state) (A_137 (-> tptp.hoare_1708887482_state Bool)) (F_55 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_54 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_55) F_54) (=> (@ tptp.finite1625599783_state A_137) (=> (not (= A_137 tptp.bot_bo19817387tate_o)) (= (@ F_54 (@ (@ tptp.insert528405184_state X_54) A_137)) (@ (@ F_55 X_54) (@ F_54 A_137))))))) (forall ((P_13 (-> (-> tptp.com Bool) Bool)) (F_52 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com F_52) (=> (not (= F_52 tptp.bot_bot_com_o)) (=> (forall ((X_3 tptp.com)) (@ P_13 (@ (@ tptp.insert_com X_3) tptp.bot_bot_com_o))) (=> (forall ((X_3 tptp.com) (F_53 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com F_53) (=> (not (= F_53 tptp.bot_bot_com_o)) (=> (not (@ (@ tptp.member_com X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert_com X_3) F_53))))))) (@ P_13 F_52)))))) (forall ((P_13 (-> (-> (-> tptp.pname Bool) Bool) Bool)) (F_52 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_52) (=> (not (= F_52 tptp.bot_bot_pname_o_o)) (=> (forall ((X_3 (-> tptp.pname Bool))) (@ P_13 (@ (@ tptp.insert_pname_o X_3) tptp.bot_bot_pname_o_o))) (=> (forall ((X_3 (-> tptp.pname Bool)) (F_53 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o F_53) (=> (not (= F_53 tptp.bot_bot_pname_o_o)) (=> (not (@ (@ tptp.member_pname_o X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert_pname_o X_3) F_53))))))) (@ P_13 F_52)))))) (forall ((P_13 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool)) (F_52 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_52) (=> (not (= F_52 tptp.bot_bo1678742418te_o_o)) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (@ P_13 (@ (@ tptp.insert949073679tate_o X_3) tptp.bot_bo1678742418te_o_o))) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (F_53 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o F_53) (=> (not (= F_53 tptp.bot_bo1678742418te_o_o)) (=> (not (@ (@ tptp.member814030440tate_o X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert949073679tate_o X_3) F_53))))))) (@ P_13 F_52)))))) (forall ((P_13 (-> (-> tptp.pname Bool) Bool)) (F_52 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_52) (=> (not (= F_52 tptp.bot_bot_pname_o)) (=> (forall ((X_3 tptp.pname)) (@ P_13 (@ (@ tptp.insert_pname X_3) tptp.bot_bot_pname_o))) (=> (forall ((X_3 tptp.pname) (F_53 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname F_53) (=> (not (= F_53 tptp.bot_bot_pname_o)) (=> (not (@ (@ tptp.member_pname X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert_pname X_3) F_53))))))) (@ P_13 F_52)))))) (forall ((P_13 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_52 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_52) (=> (not (= F_52 tptp.bot_bo19817387tate_o)) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (@ P_13 (@ (@ tptp.insert528405184_state X_3) tptp.bot_bo19817387tate_o))) (=> (forall ((X_3 tptp.hoare_1708887482_state) (F_53 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state F_53) (=> (not (= F_53 tptp.bot_bo19817387tate_o)) (=> (not (@ (@ tptp.member451959335_state X_3) F_53)) (=> (@ P_13 F_53) (@ P_13 (@ (@ tptp.insert528405184_state X_3) F_53))))))) (@ P_13 F_52)))))) (forall ((G_10 (-> tptp.hoare_1708887482_state Bool)) (P_12 (-> tptp.state tptp.state Bool)) (B_85 (-> tptp.state Bool)) (C_37 tptp.com)) (@ (@ tptp.hoare_90032982_state G_10) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Z_11 tptp.state) (S_2 tptp.state)) (and (@ (@ P_12 Z_11) S_2) (not (@ B_85 S_2))))) (@ (@ tptp.while B_85) C_37)) P_12)) tptp.bot_bo19817387tate_o))) (forall ((D_3 tptp.com) (R_1 (-> tptp.state tptp.state Bool)) (G_9 (-> tptp.hoare_1708887482_state Bool)) (P_11 (-> tptp.state tptp.state Bool)) (C_36 tptp.com) (Q_6 (-> tptp.state tptp.state Bool))) (let ((_let_1 (@ tptp.hoare_858012674_state P_11))) (let ((_let_2 (@ tptp.hoare_90032982_state G_9))) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ _let_1 C_36) Q_6)) tptp.bot_bo19817387tate_o)) (=> (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state Q_6) D_3) R_1)) tptp.bot_bo19817387tate_o)) (@ _let_2 (@ (@ tptp.insert528405184_state (@ (@ _let_1 (@ (@ tptp.semi C_36) D_3)) R_1)) tptp.bot_bo19817387tate_o))))))) (forall ((B_82 (-> tptp.state Bool)) (C_34 tptp.com)) (=> (@ tptp.wt (@ (@ tptp.while B_82) C_34)) (@ tptp.wt C_34))) (forall ((C1 tptp.com) (C2 tptp.com)) (=> (@ tptp.wt (@ (@ tptp.semi C1) C2)) (not (=> (@ tptp.wt C1) (not (@ tptp.wt C2)))))) (forall ((X_53 tptp.hoare_1708887482_state) (F_51 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_50 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_51) F_50) (= (@ (@ F_51 X_53) X_53) X_53))) (forall ((X_53 tptp.pname) (F_51 (-> tptp.pname tptp.pname tptp.pname)) (F_50 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_51) F_50) (= (@ (@ F_51 X_53) X_53) X_53))) (forall ((Com1_1 tptp.com) (Com2_1 tptp.com)) (not (= tptp.skip (@ (@ tptp.semi Com1_1) Com2_1)))) (forall ((Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com)) (not (= tptp.skip (@ (@ tptp.while Fun_1) Com_2)))) (forall ((Com1_1 tptp.com) (Com2_1 tptp.com)) (not (= (@ (@ tptp.semi Com1_1) Com2_1) tptp.skip))) (forall ((Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com)) (not (= (@ (@ tptp.while Fun_1) Com_2) tptp.skip))) (forall ((Com1 tptp.com) (Com2 tptp.com) (Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com)) (not (= (@ (@ tptp.semi Com1) Com2) (@ (@ tptp.while Fun_1) Com_2)))) (forall ((Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com) (Com1 tptp.com) (Com2 tptp.com)) (not (= (@ (@ tptp.while Fun_1) Com_2) (@ (@ tptp.semi Com1) Com2)))) (forall ((Com1 tptp.com) (Com2 tptp.com) (Com1_1 tptp.com) (Com2_1 tptp.com)) (= (= (@ (@ tptp.semi Com1) Com2) (@ (@ tptp.semi Com1_1) Com2_1)) (and (= Com1 Com1_1) (= Com2 Com2_1)))) (forall ((Fun (-> tptp.state Bool)) (Com_1 tptp.com) (Fun_1 (-> tptp.state Bool)) (Com_2 tptp.com)) (= (= (@ (@ tptp.while Fun) Com_1) (@ (@ tptp.while Fun_1) Com_2)) (and (= Fun Fun_1) (= Com_1 Com_2)))) (forall ((Pname tptp.pname) (Fun (-> tptp.state Bool)) (Com_1 tptp.com)) (not (= (@ tptp.body_1 Pname) (@ (@ tptp.while Fun) Com_1)))) (forall ((Fun (-> tptp.state Bool)) (Com_1 tptp.com) (Pname tptp.pname)) (not (= (@ (@ tptp.while Fun) Com_1) (@ tptp.body_1 Pname)))) (forall ((B_82 (-> tptp.state Bool)) (C_34 tptp.com)) (=> (@ tptp.wt C_34) (@ tptp.wt (@ (@ tptp.while B_82) C_34)))) (forall ((Pname tptp.pname) (Com1 tptp.com) (Com2 tptp.com)) (not (= (@ tptp.body_1 Pname) (@ (@ tptp.semi Com1) Com2)))) (forall ((Com1 tptp.com) (Com2 tptp.com) (Pname tptp.pname)) (not (= (@ (@ tptp.semi Com1) Com2) (@ tptp.body_1 Pname)))) (forall ((C1 tptp.com) (C0 tptp.com)) (=> (@ tptp.wt C0) (=> (@ tptp.wt C1) (@ tptp.wt (@ (@ tptp.semi C0) C1))))) (forall ((Pname tptp.pname)) (not (= tptp.skip (@ tptp.body_1 Pname)))) (forall ((Pname tptp.pname)) (not (= (@ tptp.body_1 Pname) tptp.skip))) (@ tptp.wt tptp.skip) (forall ((X_52 tptp.com) (A_136 (-> tptp.com Bool)) (F_49 (-> tptp.com tptp.com tptp.com)) (F_48 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite666746948em_com F_49) F_48) (=> (@ tptp.finite_finite_com A_136) (=> (@ (@ tptp.member_com X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))) (forall ((X_52 tptp.pname) (A_136 (-> tptp.pname Bool)) (F_49 (-> tptp.pname tptp.pname tptp.pname)) (F_48 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite89670078_pname F_49) F_48) (=> (@ tptp.finite_finite_pname A_136) (=> (@ (@ tptp.member_pname X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))) (forall ((X_52 tptp.hoare_1708887482_state) (A_136 (-> tptp.hoare_1708887482_state Bool)) (F_49 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_48 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite1347568576_state F_49) F_48) (=> (@ tptp.finite1625599783_state A_136) (=> (@ (@ tptp.member451959335_state X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))) (forall ((X_52 (-> tptp.pname Bool)) (A_136 (-> (-> tptp.pname Bool) Bool)) (F_49 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_48 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite697516351name_o F_49) F_48) (=> (@ tptp.finite297249702name_o A_136) (=> (@ (@ tptp.member_pname_o X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))) (forall ((X_52 (-> tptp.hoare_1708887482_state Bool)) (A_136 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_49 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_48 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ F_48 A_136))) (=> (@ (@ tptp.finite621643279tate_o F_49) F_48) (=> (@ tptp.finite1329924456tate_o A_136) (=> (@ (@ tptp.member814030440tate_o X_52) A_136) (= (@ (@ F_49 X_52) _let_1) _let_1)))))) (forall ((N_1 (-> (-> tptp.pname Bool) Bool)) (H_1 (-> (-> tptp.pname Bool) tptp.pname Bool)) (F_47 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_46 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite697516351name_o F_47) F_46) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool))) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite297249702name_o N_1) (=> (not (= N_1 tptp.bot_bot_pname_o_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_1085733413name_o H_1) N_1)))))))) (forall ((N_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (H_1 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_47 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_46 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite621643279tate_o F_47) F_46) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool))) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite1329924456tate_o N_1) (=> (not (= N_1 tptp.bot_bo1678742418te_o_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_909543877tate_o H_1) N_1)))))))) (forall ((N_1 (-> tptp.pname Bool)) (H_1 (-> tptp.pname tptp.pname)) (F_47 (-> tptp.pname tptp.pname tptp.pname)) (F_46 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_47) F_46) (=> (forall ((X_3 tptp.pname) (Y_4 tptp.pname)) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite_finite_pname N_1) (=> (not (= N_1 tptp.bot_bot_pname_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_pname_pname H_1) N_1)))))))) (forall ((N_1 (-> tptp.hoare_1708887482_state Bool)) (H_1 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_47 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_46 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_47) F_46) (=> (forall ((X_3 tptp.hoare_1708887482_state) (Y_4 tptp.hoare_1708887482_state)) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite1625599783_state N_1) (=> (not (= N_1 tptp.bot_bo19817387tate_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_757158439_state H_1) N_1)))))))) (forall ((N_1 (-> tptp.com Bool)) (H_1 (-> tptp.com tptp.com)) (F_47 (-> tptp.com tptp.com tptp.com)) (F_46 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite666746948em_com F_47) F_46) (=> (forall ((X_3 tptp.com) (Y_4 tptp.com)) (= (@ H_1 (@ (@ F_47 X_3) Y_4)) (@ (@ F_47 (@ H_1 X_3)) (@ H_1 Y_4)))) (=> (@ tptp.finite_finite_com N_1) (=> (not (= N_1 tptp.bot_bot_com_o)) (= (@ H_1 (@ F_46 N_1)) (@ F_46 (@ (@ tptp.image_com_com H_1) N_1)))))))) (forall ((X_51 (-> tptp.com Bool))) (= (@ tptp.the_elem_com X_51) (@ tptp.the_com_1 (lambda ((X_3 tptp.com)) (= X_51 (@ (@ tptp.insert_com X_3) tptp.bot_bot_com_o)))))) (forall ((X_51 (-> tptp.pname Bool))) (= (@ tptp.the_elem_pname X_51) (@ tptp.the_pname (lambda ((X_3 tptp.pname)) (= X_51 (@ (@ tptp.insert_pname X_3) tptp.bot_bot_pname_o)))))) (forall ((X_51 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.the_el864710747_state X_51) (@ tptp.the_Ho851197897_state (lambda ((X_3 tptp.hoare_1708887482_state)) (= X_51 (@ (@ tptp.insert528405184_state X_3) tptp.bot_bo19817387tate_o)))))) (forall ((X_50 tptp.com) (A_135 (-> tptp.com Bool)) (F_45 (-> tptp.com tptp.com tptp.com)) (F_44 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_45) F_44) (=> (@ tptp.finite_finite_com A_135) (=> (not (@ (@ tptp.member_com X_50) A_135)) (=> (not (= A_135 tptp.bot_bot_com_o)) (= (@ F_44 (@ (@ tptp.insert_com X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))) (forall ((X_50 tptp.pname) (A_135 (-> tptp.pname Bool)) (F_45 (-> tptp.pname tptp.pname tptp.pname)) (F_44 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite1282449217_pname F_45) F_44) (=> (@ tptp.finite_finite_pname A_135) (=> (not (@ (@ tptp.member_pname X_50) A_135)) (=> (not (= A_135 tptp.bot_bot_pname_o)) (= (@ F_44 (@ (@ tptp.insert_pname X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))) (forall ((X_50 tptp.hoare_1708887482_state) (A_135 (-> tptp.hoare_1708887482_state Bool)) (F_45 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_44 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1615457021_state F_45) F_44) (=> (@ tptp.finite1625599783_state A_135) (=> (not (@ (@ tptp.member451959335_state X_50) A_135)) (=> (not (= A_135 tptp.bot_bo19817387tate_o)) (= (@ F_44 (@ (@ tptp.insert528405184_state X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))) (forall ((X_50 (-> tptp.pname Bool)) (A_135 (-> (-> tptp.pname Bool) Bool)) (F_45 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_44 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite349908348name_o F_45) F_44) (=> (@ tptp.finite297249702name_o A_135) (=> (not (@ (@ tptp.member_pname_o X_50) A_135)) (=> (not (= A_135 tptp.bot_bot_pname_o_o)) (= (@ F_44 (@ (@ tptp.insert_pname_o X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))) (forall ((X_50 (-> tptp.hoare_1708887482_state Bool)) (A_135 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_45 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_44 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite928843026tate_o F_45) F_44) (=> (@ tptp.finite1329924456tate_o A_135) (=> (not (@ (@ tptp.member814030440tate_o X_50) A_135)) (=> (not (= A_135 tptp.bot_bo1678742418te_o_o)) (= (@ F_44 (@ (@ tptp.insert949073679tate_o X_50) A_135)) (@ (@ F_45 X_50) (@ F_44 A_135)))))))) (forall ((Y_25 tptp.hoare_1708887482_state)) (not (forall ((Fun1 (-> tptp.state tptp.state Bool)) (Com tptp.com) (Fun2 (-> tptp.state tptp.state Bool))) (not (= Y_25 (@ (@ (@ tptp.hoare_858012674_state Fun1) Com) Fun2)))))) (forall ((X_49 tptp.com) (F_43 (-> tptp.com tptp.com tptp.com)) (F_42 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_43) F_42) (= (@ F_42 (@ 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tptp.hoare_1708887482_state) (Y_4 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state (@ (@ F_41 X_3) Y_4)) (@ (@ tptp.insert528405184_state X_3) (@ (@ tptp.insert528405184_state Y_4) tptp.bot_bo19817387tate_o)))) (@ (@ tptp.member451959335_state (@ F_40 A_134)) A_134)))))) (forall ((A_134 (-> (-> tptp.pname Bool) Bool)) (F_41 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_40 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite349908348name_o F_41) F_40) (=> (@ tptp.finite297249702name_o A_134) (=> (not (= A_134 tptp.bot_bot_pname_o_o)) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool))) (@ (@ tptp.member_pname_o (@ (@ F_41 X_3) Y_4)) (@ (@ tptp.insert_pname_o X_3) (@ (@ tptp.insert_pname_o Y_4) tptp.bot_bot_pname_o_o)))) (@ (@ tptp.member_pname_o (@ F_40 A_134)) A_134)))))) (forall ((A_134 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_41 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state 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tptp.hoare_1708887482_state Bool)) (P_10 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ P_10 X_3) (@ Q_5 X_3))) (@ (@ tptp.ord_le777019615tate_o (@ tptp.collec1568722789_state P_10)) (@ tptp.collec1568722789_state Q_5)))) (forall ((Q_5 (-> tptp.pname Bool)) (P_10 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (=> (@ P_10 X_3) (@ Q_5 X_3))) (@ (@ tptp.ord_less_eq_pname_o (@ tptp.collect_pname P_10)) (@ tptp.collect_pname Q_5)))) (forall ((Q_5 (-> (-> tptp.pname Bool) Bool)) (P_10 (-> (-> tptp.pname Bool) Bool))) (=> (forall ((X_3 (-> tptp.pname Bool))) (=> (@ P_10 X_3) (@ Q_5 X_3))) (@ (@ tptp.ord_le1205211808me_o_o (@ tptp.collect_pname_o P_10)) (@ tptp.collect_pname_o Q_5)))) (forall ((Q_5 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (P_10 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (=> (@ P_10 X_3) (@ Q_5 X_3))) (@ (@ tptp.ord_le1728773982te_o_o (@ tptp.collec219771562tate_o P_10)) (@ tptp.collec219771562tate_o Q_5)))) (forall ((Q_4 (-> tptp.pname Bool)) (P_9 (-> tptp.pname Bool))) (=> (forall ((X_3 tptp.pname)) (=> (@ P_9 X_3) (@ Q_4 X_3))) (@ (@ tptp.ord_less_eq_pname_o P_9) Q_4))) (forall ((Q_4 (-> tptp.hoare_1708887482_state Bool)) (P_9 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ P_9 X_3) (@ Q_4 X_3))) (@ (@ tptp.ord_le777019615tate_o P_9) Q_4))) (forall ((A_133 tptp.com) (A_132 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com A_133) A_132) (exists ((B_84 (-> tptp.com Bool))) (and (= A_132 (@ (@ tptp.insert_com A_133) B_84)) (not (@ (@ tptp.member_com A_133) B_84)))))) (forall ((A_133 tptp.pname) (A_132 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname A_133) A_132) (exists ((B_84 (-> tptp.pname Bool))) (and (= A_132 (@ (@ tptp.insert_pname A_133) B_84)) (not (@ (@ tptp.member_pname A_133) B_84)))))) (forall ((A_133 tptp.hoare_1708887482_state) (A_132 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state A_133) A_132) (exists ((B_84 (-> tptp.hoare_1708887482_state Bool))) (and (= A_132 (@ (@ tptp.insert528405184_state A_133) B_84)) (not (@ (@ tptp.member451959335_state A_133) B_84)))))) (forall ((X_48 tptp.com) (A_131 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_48) A_131) (not (forall ((B_84 (-> tptp.com Bool))) (=> (= A_131 (@ (@ tptp.insert_com X_48) B_84)) (@ (@ tptp.member_com X_48) B_84)))))) (forall ((X_48 tptp.pname) (A_131 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_48) A_131) (not (forall ((B_84 (-> tptp.pname Bool))) (=> (= A_131 (@ (@ tptp.insert_pname X_48) B_84)) (@ (@ tptp.member_pname X_48) B_84)))))) (forall ((X_48 tptp.hoare_1708887482_state) (A_131 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_48) A_131) (not (forall ((B_84 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_131 (@ (@ tptp.insert528405184_state X_48) B_84)) (@ (@ tptp.member451959335_state X_48) B_84)))))) (forall ((A_130 (-> tptp.com Bool))) (=> (forall ((Y_4 tptp.com)) (not (@ (@ tptp.member_com Y_4) A_130))) (= A_130 tptp.bot_bot_com_o))) (forall ((A_130 (-> tptp.pname Bool))) (=> (forall ((Y_4 tptp.pname)) (not (@ (@ tptp.member_pname Y_4) A_130))) (= A_130 tptp.bot_bot_pname_o))) (forall ((A_130 (-> tptp.hoare_1708887482_state Bool))) (=> (forall ((Y_4 tptp.hoare_1708887482_state)) (not (@ (@ tptp.member451959335_state Y_4) A_130))) (= A_130 tptp.bot_bo19817387tate_o))) (forall ((G_7 (-> tptp.hoare_1708887482_state Bool)) (C_34 tptp.com)) (let ((_let_1 (@ tptp.hoare_90032982_state G_7))) (=> tptp.hoare_1160767572gleton (=> (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Z_11 tptp.state) (S0_1 tptp.state)) (forall ((S1 tptp.state)) (=> (@ (@ (@ tptp.evalc C_34) S0_1) S1) (= Z_11 S1))))) C_34) tptp.fequal_state)) tptp.bot_bo19817387tate_o)) (@ _let_1 (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)))))) (forall ((C_35 Bool) (F_38 (-> Bool Bool)) (B_83 Bool) (A_129 Bool)) (=> (= A_129 (@ F_38 B_83)) (=> (@ (@ tptp.ord_less_eq_o C_35) B_83) (=> (forall ((X_3 Bool) (Y_4 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_4) X_3) (@ (@ tptp.ord_less_eq_o (@ F_38 Y_4)) (@ F_38 X_3)))) (@ (@ tptp.ord_less_eq_o (@ F_38 C_35)) A_129))))) (forall ((C_35 (-> tptp.pname Bool)) (A_129 (-> tptp.pname Bool)) (F_38 (-> (-> tptp.pname Bool) tptp.pname Bool)) (B_83 (-> tptp.pname Bool))) (=> (= A_129 (@ F_38 B_83)) (=> (@ (@ tptp.ord_less_eq_pname_o C_35) B_83) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_4) X_3) (@ (@ tptp.ord_less_eq_pname_o (@ F_38 Y_4)) (@ F_38 X_3)))) (@ (@ tptp.ord_less_eq_pname_o (@ F_38 C_35)) A_129))))) (forall ((C_35 (-> tptp.hoare_1708887482_state Bool)) (A_129 (-> tptp.hoare_1708887482_state Bool)) (F_38 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (B_83 (-> tptp.hoare_1708887482_state Bool))) (=> (= A_129 (@ F_38 B_83)) (=> (@ (@ tptp.ord_le777019615tate_o C_35) B_83) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_4) X_3) (@ (@ tptp.ord_le777019615tate_o (@ F_38 Y_4)) (@ F_38 X_3)))) (@ (@ tptp.ord_le777019615tate_o (@ F_38 C_35)) A_129))))) (forall ((G_7 (-> tptp.hoare_1708887482_state Bool)) (C_34 tptp.com)) (let ((_let_1 (@ tptp.hoare_90032982_state G_7))) (=> (@ _let_1 (@ (@ tptp.insert528405184_state (@ tptp.hoare_Mirabelle_MGT C_34)) tptp.bot_bo19817387tate_o)) (@ _let_1 (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state (lambda ((Z_11 tptp.state) (S0_1 tptp.state)) (forall ((S1 tptp.state)) (=> (@ (@ (@ tptp.evalc C_34) S0_1) S1) (= Z_11 S1))))) C_34) tptp.fequal_state)) tptp.bot_bo19817387tate_o))))) (forall ((C_34 tptp.com)) (= (@ tptp.hoare_Mirabelle_MGT C_34) (@ (@ (@ tptp.hoare_858012674_state tptp.fequal_state) C_34) (@ tptp.evalc C_34)))) (forall ((P tptp.pname) (S_4 tptp.state) (S1_1 tptp.state)) (=> (@ (@ (@ tptp.evalc (@ tptp.body_1 P)) S_4) S1_1) (@ (@ (@ tptp.evalc (@ tptp.the_com (@ tptp.body P))) S_4) S1_1))) (forall ((Pn_1 tptp.pname) (S0 tptp.state) (S1_1 tptp.state)) (=> (@ (@ (@ tptp.evalc (@ tptp.the_com (@ tptp.body Pn_1))) S0) S1_1) (@ (@ (@ tptp.evalc (@ tptp.body_1 Pn_1)) S0) S1_1))) (forall ((S_4 tptp.state) (T tptp.state)) (=> (@ (@ (@ tptp.evalc tptp.skip) S_4) T) (= T S_4))) (forall ((S_4 tptp.state)) (@ (@ (@ tptp.evalc tptp.skip) S_4) S_4)) (forall ((C1 tptp.com) (S2 tptp.state) (C0 tptp.com) (S0 tptp.state) (S1_1 tptp.state)) (=> (@ (@ (@ tptp.evalc C0) S0) S1_1) (=> (@ (@ (@ tptp.evalc C1) S1_1) S2) (@ (@ (@ tptp.evalc (@ (@ tptp.semi C0) C1)) S0) S2)))) (forall ((S2 tptp.state) (C_34 tptp.com) (S1_1 tptp.state) (B_82 (-> tptp.state Bool)) (S0 tptp.state)) (let ((_let_1 (@ tptp.evalc (@ (@ tptp.while B_82) C_34)))) (=> (@ B_82 S0) (=> (@ (@ (@ tptp.evalc C_34) S0) S1_1) (=> (@ (@ _let_1 S1_1) S2) (@ (@ _let_1 S0) S2)))))) (forall ((C_34 tptp.com) (B_82 (-> tptp.state Bool)) (S_4 tptp.state)) (=> (not (@ B_82 S_4)) (@ (@ (@ tptp.evalc (@ (@ tptp.while B_82) C_34)) S_4) S_4))) (forall ((U tptp.state) (C_34 tptp.com) (S_4 tptp.state) (T tptp.state)) (let ((_let_1 (@ (@ tptp.evalc C_34) S_4))) (=> (@ _let_1 T) (=> (@ _let_1 U) (= U T))))) (forall ((C1 tptp.com) (C2 tptp.com) (S_4 tptp.state) (T tptp.state)) (=> (@ (@ (@ tptp.evalc (@ (@ tptp.semi C1) C2)) S_4) T) (not (forall ((S1 tptp.state)) (=> (@ (@ (@ tptp.evalc C1) S_4) S1) (not (@ (@ (@ tptp.evalc C2) S1) T))))))) (forall ((B_82 (-> tptp.state Bool)) (C_34 tptp.com) (S_4 tptp.state) (T tptp.state)) (let ((_let_1 (@ B_82 S_4))) (=> (@ (@ (@ tptp.evalc (@ (@ tptp.while B_82) C_34)) S_4) T) (=> (=> (= T S_4) _let_1) (not (=> _let_1 (forall ((S1 tptp.state)) (=> (@ (@ (@ tptp.evalc C_34) S_4) S1) (not (@ (@ (@ tptp.evalc (@ (@ tptp.while B_82) C_34)) S1) T)))))))))) (forall ((C_33 Bool) (F_37 (-> Bool Bool)) (B_81 Bool) (A_128 Bool)) (=> (@ (@ tptp.ord_less_eq_o B_81) A_128) (=> (= (@ F_37 B_81) C_33) (=> (forall ((X_3 Bool) (Y_4 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_4) X_3) (@ (@ tptp.ord_less_eq_o (@ F_37 Y_4)) (@ F_37 X_3)))) (@ (@ tptp.ord_less_eq_o C_33) (@ F_37 A_128)))))) (forall ((F_37 (-> (-> tptp.pname Bool) tptp.pname Bool)) (C_33 (-> tptp.pname Bool)) (B_81 (-> tptp.pname Bool)) (A_128 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_81) A_128) (=> (= (@ F_37 B_81) C_33) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_4) X_3) (@ (@ tptp.ord_less_eq_pname_o (@ F_37 Y_4)) (@ F_37 X_3)))) (@ (@ tptp.ord_less_eq_pname_o C_33) (@ F_37 A_128)))))) (forall ((F_37 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (C_33 (-> tptp.hoare_1708887482_state Bool)) (B_81 (-> tptp.hoare_1708887482_state Bool)) (A_128 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_81) A_128) (=> (= (@ F_37 B_81) C_33) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_4) X_3) (@ (@ tptp.ord_le777019615tate_o (@ F_37 Y_4)) (@ F_37 X_3)))) (@ (@ tptp.ord_le777019615tate_o C_33) (@ F_37 A_128)))))) (forall ((B_80 (-> (-> tptp.pname Bool) Bool)) (A_127 (-> (-> tptp.pname Bool) Bool)) (F_36 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_35 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.semila2013987940me_o_o A_127) B_80))) (=> (@ (@ tptp.finite349908348name_o F_36) F_35) (=> (@ tptp.finite297249702name_o A_127) (=> (@ tptp.finite297249702name_o B_80) (=> (not (= _let_1 tptp.bot_bot_pname_o_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila181081674me_o_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))) (forall ((B_80 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_127 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_36 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_35 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.semila598060698te_o_o A_127) B_80))) (=> (@ (@ tptp.finite928843026tate_o F_36) F_35) (=> (@ tptp.finite1329924456tate_o A_127) (=> (@ tptp.finite1329924456tate_o B_80) (=> (not (= _let_1 tptp.bot_bo1678742418te_o_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila1853742644te_o_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))) (forall ((B_80 (-> tptp.pname Bool)) (A_127 (-> tptp.pname Bool)) (F_36 (-> tptp.pname tptp.pname tptp.pname)) (F_35 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ (@ tptp.semila1673364395name_o A_127) B_80))) (=> (@ (@ tptp.finite1282449217_pname F_36) F_35) (=> (@ tptp.finite_finite_pname A_127) (=> (@ tptp.finite_finite_pname B_80) (=> (not (= _let_1 tptp.bot_bot_pname_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila1780557381name_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))) (forall ((B_80 (-> tptp.hoare_1708887482_state Bool)) (A_127 (-> tptp.hoare_1708887482_state Bool)) (F_36 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_35 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ (@ tptp.semila129691299tate_o A_127) B_80))) (=> (@ (@ tptp.finite1615457021_state F_36) F_35) (=> (@ tptp.finite1625599783_state A_127) (=> (@ tptp.finite1625599783_state B_80) (=> (not (= _let_1 tptp.bot_bo19817387tate_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila1122118281tate_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))) (forall ((B_80 (-> tptp.com Bool)) (A_127 (-> tptp.com Bool)) (F_36 (-> tptp.com tptp.com tptp.com)) (F_35 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ (@ tptp.semila513601829_com_o A_127) B_80))) (=> (@ (@ tptp.finite860057415ne_com F_36) F_35) (=> (@ tptp.finite_finite_com A_127) (=> (@ tptp.finite_finite_com B_80) (=> (not (= _let_1 tptp.bot_bot_com_o)) (= (@ (@ F_36 (@ F_35 (@ (@ tptp.semila1562558655_com_o A_127) B_80))) (@ F_35 _let_1)) (@ (@ F_36 (@ F_35 A_127)) (@ F_35 B_80))))))))) (forall ((B_79 (-> (-> tptp.pname Bool) Bool)) (A_126 (-> (-> tptp.pname Bool) Bool)) (F_34 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_33 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite349908348name_o F_34) F_33) (=> (@ tptp.finite297249702name_o A_126) (=> (not (= A_126 tptp.bot_bot_pname_o_o)) (=> (@ tptp.finite297249702name_o B_79) (=> (not (= B_79 tptp.bot_bot_pname_o_o)) (=> (= (@ (@ tptp.semila2013987940me_o_o A_126) B_79) tptp.bot_bot_pname_o_o) (= (@ F_33 (@ (@ tptp.semila181081674me_o_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))) (forall ((B_79 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_126 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_34 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_33 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite928843026tate_o F_34) F_33) (=> (@ tptp.finite1329924456tate_o A_126) (=> (not (= A_126 tptp.bot_bo1678742418te_o_o)) (=> (@ tptp.finite1329924456tate_o B_79) (=> (not (= B_79 tptp.bot_bo1678742418te_o_o)) (=> (= (@ (@ tptp.semila598060698te_o_o A_126) B_79) tptp.bot_bo1678742418te_o_o) (= (@ F_33 (@ (@ tptp.semila1853742644te_o_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))) (forall ((B_79 (-> tptp.pname Bool)) (A_126 (-> tptp.pname Bool)) (F_34 (-> tptp.pname tptp.pname tptp.pname)) (F_33 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite1282449217_pname F_34) F_33) (=> (@ tptp.finite_finite_pname A_126) (=> (not (= A_126 tptp.bot_bot_pname_o)) (=> (@ tptp.finite_finite_pname B_79) (=> (not (= B_79 tptp.bot_bot_pname_o)) (=> (= (@ (@ tptp.semila1673364395name_o A_126) B_79) tptp.bot_bot_pname_o) (= (@ F_33 (@ (@ tptp.semila1780557381name_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))) (forall ((B_79 (-> tptp.hoare_1708887482_state Bool)) (A_126 (-> tptp.hoare_1708887482_state Bool)) (F_34 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_33 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1615457021_state F_34) F_33) (=> (@ tptp.finite1625599783_state A_126) (=> (not (= A_126 tptp.bot_bo19817387tate_o)) (=> (@ tptp.finite1625599783_state B_79) (=> (not (= B_79 tptp.bot_bo19817387tate_o)) (=> (= (@ (@ tptp.semila129691299tate_o A_126) B_79) tptp.bot_bo19817387tate_o) (= (@ F_33 (@ (@ tptp.semila1122118281tate_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))) (forall ((B_79 (-> tptp.com Bool)) (A_126 (-> tptp.com Bool)) (F_34 (-> tptp.com tptp.com tptp.com)) (F_33 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_34) F_33) (=> (@ tptp.finite_finite_com A_126) (=> (not (= A_126 tptp.bot_bot_com_o)) (=> (@ tptp.finite_finite_com B_79) (=> (not (= B_79 tptp.bot_bot_com_o)) (=> (= (@ (@ tptp.semila513601829_com_o A_126) B_79) tptp.bot_bot_com_o) (= (@ F_33 (@ (@ tptp.semila1562558655_com_o A_126) B_79)) (@ (@ F_34 (@ F_33 A_126)) (@ F_33 B_79)))))))))) (forall ((X_47 tptp.com) (A_125 (-> tptp.com Bool)) (F_32 (-> tptp.com tptp.com tptp.com)) (F_31 (-> (-> tptp.com Bool) tptp.com))) (let ((_let_1 (@ tptp.insert_com X_47))) (let ((_let_2 (@ (@ tptp.minus_minus_com_o A_125) (@ _let_1 tptp.bot_bot_com_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bot_com_o))) (=> (@ (@ tptp.finite860057415ne_com F_32) F_31) (=> (@ tptp.finite_finite_com A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))) (forall ((X_47 tptp.pname) (A_125 (-> tptp.pname Bool)) (F_32 (-> tptp.pname tptp.pname tptp.pname)) (F_31 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ tptp.insert_pname X_47))) (let ((_let_2 (@ (@ tptp.minus_minus_pname_o A_125) (@ _let_1 tptp.bot_bot_pname_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bot_pname_o))) (=> (@ (@ tptp.finite1282449217_pname F_32) F_31) (=> (@ tptp.finite_finite_pname A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))) (forall ((X_47 tptp.hoare_1708887482_state) (A_125 (-> tptp.hoare_1708887482_state Bool)) (F_32 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_31 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (let ((_let_1 (@ tptp.insert528405184_state X_47))) (let ((_let_2 (@ (@ tptp.minus_2056855718tate_o A_125) (@ _let_1 tptp.bot_bo19817387tate_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bo19817387tate_o))) (=> (@ (@ tptp.finite1615457021_state F_32) F_31) (=> (@ tptp.finite1625599783_state A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))) (forall ((X_47 (-> tptp.pname Bool)) (A_125 (-> (-> tptp.pname Bool) Bool)) (F_32 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_31 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname_o X_47))) (let ((_let_2 (@ (@ tptp.minus_1480864103me_o_o A_125) (@ _let_1 tptp.bot_bot_pname_o_o)))) (let ((_let_3 (@ F_31 (@ _let_1 A_125)))) (let ((_let_4 (= _let_2 tptp.bot_bot_pname_o_o))) (=> (@ (@ tptp.finite349908348name_o F_32) F_31) (=> (@ tptp.finite297249702name_o A_125) (and (=> _let_4 (= _let_3 X_47)) (=> (not _let_4) (= _let_3 (@ (@ F_32 X_47) (@ F_31 _let_2)))))))))))) (forall ((X_47 (-> tptp.hoare_1708887482_state 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_let_1 tptp.bot_bot_com_o))) (=> (@ (@ tptp.finite860057415ne_com F_30) F_29) (=> (@ tptp.finite_finite_com A_124) (=> (@ (@ tptp.member_com X_46) A_124) (and (=> _let_3 (= _let_2 X_46)) (=> (not _let_3) (= _let_2 (@ (@ F_30 X_46) (@ F_29 _let_1)))))))))))) (forall ((X_46 tptp.pname) (A_124 (-> tptp.pname Bool)) (F_30 (-> tptp.pname tptp.pname tptp.pname)) (F_29 (-> (-> tptp.pname Bool) tptp.pname))) (let ((_let_1 (@ (@ tptp.minus_minus_pname_o A_124) (@ (@ tptp.insert_pname X_46) tptp.bot_bot_pname_o)))) (let ((_let_2 (@ F_29 A_124))) (let ((_let_3 (= _let_1 tptp.bot_bot_pname_o))) (=> (@ (@ tptp.finite1282449217_pname F_30) F_29) (=> (@ tptp.finite_finite_pname A_124) (=> (@ (@ tptp.member_pname X_46) A_124) (and (=> _let_3 (= _let_2 X_46)) (=> (not _let_3) (= _let_2 (@ (@ F_30 X_46) (@ F_29 _let_1)))))))))))) (forall ((X_46 tptp.hoare_1708887482_state) (A_124 (-> tptp.hoare_1708887482_state Bool)) (F_30 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state 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tptp.pname)) (not (@ tptp.is_none_pname (@ tptp.some_pname X_45)))) (forall ((X_45 tptp.hoare_1708887482_state)) (not (@ tptp.is_non163157940_state (@ tptp.some_H1974565227_state X_45)))) (forall ((X_45 tptp.com)) (not (@ tptp.is_none_com (@ tptp.some_com X_45)))) (forall ((Q_2 (-> tptp.state tptp.state Bool)) (G_6 (-> tptp.hoare_1708887482_state Bool)) (C_32 tptp.com) (P_7 (-> tptp.state tptp.state Bool))) (=> (forall ((Z_11 tptp.state) (S_2 tptp.state)) (=> (@ (@ P_7 Z_11) S_2) (exists ((P_8 (-> tptp.state tptp.state Bool)) (Q_3 (-> tptp.state tptp.state Bool))) (and (@ (@ tptp.hoare_90032982_state G_6) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_8) C_32) Q_3)) tptp.bot_bo19817387tate_o)) (forall ((S_3 tptp.state)) (=> (forall ((Z_12 tptp.state)) (=> (@ (@ P_8 Z_12) S_2) (@ (@ Q_3 Z_12) S_3))) (@ (@ Q_2 Z_11) S_3))))))) (@ (@ tptp.hoare_90032982_state G_6) (@ (@ tptp.insert528405184_state (@ (@ (@ tptp.hoare_858012674_state P_7) C_32) Q_2)) tptp.bot_bo19817387tate_o)))) (forall ((C_31 tptp.com) (A_123 (-> tptp.com Bool)) (B_78 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_31))) (=> (@ _let_1 (@ (@ tptp.semila513601829_com_o A_123) B_78)) (not (=> (@ _let_1 A_123) (not (@ _let_1 B_78))))))) (forall ((C_31 tptp.pname) (A_123 (-> tptp.pname Bool)) (B_78 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_31))) (=> (@ _let_1 (@ (@ tptp.semila1673364395name_o A_123) B_78)) (not (=> (@ _let_1 A_123) (not (@ _let_1 B_78))))))) (forall ((C_31 tptp.hoare_1708887482_state) (A_123 (-> tptp.hoare_1708887482_state Bool)) (B_78 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_31))) (=> (@ _let_1 (@ (@ tptp.semila129691299tate_o A_123) B_78)) (not (=> (@ _let_1 A_123) (not (@ _let_1 B_78))))))) (forall ((B_77 (-> tptp.com Bool)) (C_30 tptp.com) (A_122 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_30))) (=> (@ _let_1 A_122) (=> (@ _let_1 B_77) (@ _let_1 (@ (@ 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A_121) (@ _let_1 B_76)))))) (forall ((C_29 tptp.hoare_1708887482_state) (A_121 (-> tptp.hoare_1708887482_state Bool)) (B_76 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_29))) (=> (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_121) B_76)) (not (=> (@ _let_1 A_121) (@ _let_1 B_76)))))) (forall ((B_75 (-> tptp.com Bool)) (C_28 tptp.com) (A_120 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_28))) (=> (@ _let_1 A_120) (=> (not (@ _let_1 B_75)) (@ _let_1 (@ (@ tptp.minus_minus_com_o A_120) B_75)))))) (forall ((B_75 (-> tptp.pname Bool)) (C_28 tptp.pname) (A_120 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_28))) (=> (@ _let_1 A_120) (=> (not (@ _let_1 B_75)) (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_120) B_75)))))) (forall ((B_75 (-> tptp.hoare_1708887482_state Bool)) (C_28 tptp.hoare_1708887482_state) (A_120 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_28))) (=> (@ _let_1 A_120) (=> (not 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(@ tptp.finite1625599783_state (@ (@ tptp.semila129691299tate_o F_28) G_5)))) (forall ((B_74 (-> (-> tptp.pname Bool) Bool)) (A_119 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_119) (@ tptp.finite297249702name_o (@ (@ tptp.minus_1480864103me_o_o A_119) B_74)))) (forall ((B_74 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_119 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_119) (@ tptp.finite1329924456tate_o (@ (@ tptp.minus_548038231te_o_o A_119) B_74)))) (forall ((B_74 (-> tptp.pname Bool)) (A_119 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_119) (@ tptp.finite_finite_pname (@ (@ tptp.minus_minus_pname_o A_119) B_74)))) (forall ((B_74 (-> tptp.hoare_1708887482_state Bool)) (A_119 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_119) (@ tptp.finite1625599783_state (@ (@ tptp.minus_2056855718tate_o A_119) B_74)))) (forall ((R (-> tptp.com Bool)) (S_1 (-> tptp.com Bool)) (X_3 tptp.com)) (= (@ (@ (@ tptp.semila513601829_com_o (lambda ((Y_4 tptp.com)) (@ (@ tptp.member_com Y_4) R))) (lambda ((Y_4 tptp.com)) (@ (@ tptp.member_com Y_4) S_1))) X_3) (@ (@ tptp.member_com X_3) (@ (@ tptp.semila513601829_com_o R) S_1)))) (forall ((R (-> tptp.pname Bool)) (S_1 (-> tptp.pname Bool)) (X_3 tptp.pname)) (= (@ (@ (@ tptp.semila1673364395name_o (lambda ((Y_4 tptp.pname)) (@ (@ tptp.member_pname Y_4) R))) (lambda ((Y_4 tptp.pname)) (@ (@ tptp.member_pname Y_4) S_1))) X_3) (@ (@ tptp.member_pname X_3) (@ (@ tptp.semila1673364395name_o R) S_1)))) (forall ((R (-> tptp.hoare_1708887482_state Bool)) (S_1 (-> tptp.hoare_1708887482_state Bool)) (X_3 tptp.hoare_1708887482_state)) (= (@ (@ (@ tptp.semila129691299tate_o (lambda ((Y_4 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state Y_4) R))) (lambda ((Y_4 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state Y_4) S_1))) X_3) (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.semila129691299tate_o R) S_1)))) (forall ((A_118 (-> tptp.com Bool)) (B_73 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o A_118) (@ (@ tptp.minus_minus_com_o B_73) A_118)) tptp.bot_bot_com_o)) (forall ((A_118 (-> tptp.pname Bool)) (B_73 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o A_118) (@ (@ tptp.minus_minus_pname_o B_73) A_118)) tptp.bot_bot_pname_o)) (forall ((A_118 (-> tptp.hoare_1708887482_state Bool)) (B_73 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o A_118) (@ (@ tptp.minus_2056855718tate_o B_73) A_118)) tptp.bot_bo19817387tate_o)) (forall ((A_117 (-> tptp.com Bool)) (B_72 (-> tptp.com Bool))) (=> (= (@ (@ tptp.semila513601829_com_o A_117) B_72) tptp.bot_bot_com_o) (= (@ (@ tptp.minus_minus_com_o A_117) B_72) A_117))) (forall ((A_117 (-> tptp.pname Bool)) (B_72 (-> tptp.pname Bool))) (=> (= (@ (@ tptp.semila1673364395name_o A_117) B_72) tptp.bot_bot_pname_o) (= (@ (@ tptp.minus_minus_pname_o A_117) B_72) A_117))) (forall ((A_117 (-> tptp.hoare_1708887482_state Bool)) (B_72 (-> tptp.hoare_1708887482_state Bool))) (=> (= (@ (@ tptp.semila129691299tate_o A_117) B_72) tptp.bot_bo19817387tate_o) (= (@ (@ tptp.minus_2056855718tate_o A_117) B_72) A_117))) (forall ((C_27 tptp.com) (A_116 (-> tptp.com Bool)) (B_71 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_27))) (=> (@ _let_1 (@ (@ tptp.minus_minus_com_o A_116) B_71)) (not (@ _let_1 B_71))))) (forall ((C_27 tptp.pname) (A_116 (-> tptp.pname Bool)) (B_71 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_27))) (=> (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_116) B_71)) (not (@ _let_1 B_71))))) (forall ((C_27 tptp.hoare_1708887482_state) (A_116 (-> tptp.hoare_1708887482_state Bool)) (B_71 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_27))) (=> (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_116) B_71)) (not (@ _let_1 B_71))))) (forall ((C_26 tptp.com) (A_115 (-> tptp.com Bool)) (B_70 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_26))) (=> (@ _let_1 (@ (@ tptp.semila513601829_com_o A_115) B_70)) (@ _let_1 B_70)))) (forall ((C_26 tptp.pname) (A_115 (-> tptp.pname Bool)) (B_70 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_26))) (=> (@ _let_1 (@ (@ tptp.semila1673364395name_o A_115) B_70)) (@ _let_1 B_70)))) (forall ((C_26 tptp.hoare_1708887482_state) (A_115 (-> tptp.hoare_1708887482_state Bool)) (B_70 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_26))) (=> (@ _let_1 (@ (@ tptp.semila129691299tate_o A_115) B_70)) (@ _let_1 B_70)))) (forall ((C_25 tptp.com) (A_114 (-> tptp.com Bool)) (B_69 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_25))) (=> (@ _let_1 (@ (@ tptp.semila513601829_com_o A_114) B_69)) (@ _let_1 A_114)))) (forall ((C_25 tptp.pname) (A_114 (-> tptp.pname Bool)) (B_69 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_25))) (=> (@ _let_1 (@ (@ tptp.semila1673364395name_o A_114) B_69)) (@ _let_1 A_114)))) (forall ((C_25 tptp.hoare_1708887482_state) (A_114 (-> tptp.hoare_1708887482_state Bool)) (B_69 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_25))) (=> (@ _let_1 (@ (@ tptp.semila129691299tate_o A_114) B_69)) (@ _let_1 A_114)))) (forall ((C_24 tptp.com) (A_113 (-> tptp.com Bool)) (B_68 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_24))) (=> (@ _let_1 (@ (@ tptp.minus_minus_com_o A_113) B_68)) (@ _let_1 A_113)))) (forall ((C_24 tptp.pname) (A_113 (-> tptp.pname Bool)) (B_68 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_24))) (=> (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_113) B_68)) (@ _let_1 A_113)))) (forall ((C_24 tptp.hoare_1708887482_state) (A_113 (-> tptp.hoare_1708887482_state Bool)) (B_68 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_24))) (=> (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_113) B_68)) (@ _let_1 A_113)))) (forall ((C_23 tptp.com) (A_112 (-> tptp.com Bool)) (B_67 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_23))) (= (@ _let_1 (@ (@ tptp.semila513601829_com_o A_112) B_67)) (and (@ _let_1 A_112) (@ _let_1 B_67))))) (forall ((C_23 tptp.pname) (A_112 (-> tptp.pname Bool)) (B_67 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_23))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o A_112) B_67)) (and (@ _let_1 A_112) (@ _let_1 B_67))))) (forall ((C_23 tptp.hoare_1708887482_state) (A_112 (-> tptp.hoare_1708887482_state Bool)) (B_67 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_23))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o A_112) B_67)) (and (@ _let_1 A_112) (@ _let_1 B_67))))) (forall ((C_22 tptp.com) (A_111 (-> tptp.com Bool)) (B_66 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com C_22))) (= (@ _let_1 (@ (@ tptp.minus_minus_com_o A_111) B_66)) (and (@ _let_1 A_111) (not (@ _let_1 B_66)))))) (forall ((C_22 tptp.pname) (A_111 (-> tptp.pname Bool)) (B_66 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname C_22))) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_111) B_66)) (and (@ _let_1 A_111) (not (@ _let_1 B_66)))))) (forall ((C_22 tptp.hoare_1708887482_state) (A_111 (-> tptp.hoare_1708887482_state Bool)) (B_66 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state C_22))) (= (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_111) B_66)) (and (@ _let_1 A_111) (not (@ _let_1 B_66)))))) (forall ((A_110 (-> tptp.com Bool)) (B_65 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o A_110) B_65) (@ tptp.collect_com (lambda ((X_3 tptp.com)) (let ((_let_1 (@ tptp.member_com X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))) (forall ((A_110 (-> tptp.pname Bool)) (B_65 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o A_110) B_65) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))) (forall ((A_110 (-> tptp.hoare_1708887482_state Bool)) (B_65 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o A_110) B_65) (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))) (forall ((A_110 (-> (-> tptp.pname Bool) Bool)) (B_65 (-> (-> tptp.pname Bool) Bool))) (= (@ (@ tptp.semila2013987940me_o_o A_110) B_65) (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname_o X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))) (forall ((A_110 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_65 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.semila598060698te_o_o A_110) B_65) (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o X_3))) (and (@ _let_1 A_110) (@ _let_1 B_65))))))) (forall ((A_109 (-> tptp.com Bool)) (B_64 (-> tptp.com Bool))) (= (@ (@ 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(@ _let_1 A_109) (not (@ _let_1 B_64)))))))) (forall ((A_109 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_64 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ (@ tptp.minus_548038231te_o_o A_109) B_64) (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member814030440tate_o X_3))) (and (@ _let_1 A_109) (not (@ _let_1 B_64)))))))) (forall ((X_44 tptp.com) (A_108 (-> tptp.com Bool)) (P_6 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.member_com X_44))) (= (@ _let_1 (@ (@ tptp.semila513601829_com_o A_108) (@ tptp.collect_com P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))) (forall ((X_44 tptp.pname) (A_108 (-> tptp.pname Bool)) (P_6 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.member_pname X_44))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o A_108) (@ tptp.collect_pname P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))) (forall ((X_44 tptp.hoare_1708887482_state) (A_108 (-> tptp.hoare_1708887482_state Bool)) (P_6 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.member451959335_state X_44))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o A_108) (@ tptp.collec1568722789_state P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))) (forall ((X_44 (-> tptp.pname Bool)) (A_108 (-> (-> tptp.pname Bool) Bool)) (P_6 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ tptp.member_pname_o X_44))) (= (@ _let_1 (@ (@ tptp.semila2013987940me_o_o A_108) (@ tptp.collect_pname_o P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))) (forall ((X_44 (-> tptp.hoare_1708887482_state Bool)) (A_108 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (P_6 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ tptp.member814030440tate_o X_44))) (= (@ _let_1 (@ (@ tptp.semila598060698te_o_o A_108) (@ tptp.collec219771562tate_o P_6))) (and (@ _let_1 A_108) (@ P_6 X_44))))) (forall ((P_5 (-> tptp.hoare_1708887482_state Bool)) (Q_1 (-> tptp.hoare_1708887482_state Bool))) (= (@ tptp.collec1568722789_state (lambda ((X_3 tptp.hoare_1708887482_state)) (and (@ P_5 X_3) (@ Q_1 X_3)))) (@ (@ tptp.semila129691299tate_o (@ tptp.collec1568722789_state P_5)) (@ tptp.collec1568722789_state Q_1)))) (forall ((P_5 (-> tptp.pname Bool)) (Q_1 (-> tptp.pname Bool))) (= (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (and (@ P_5 X_3) (@ Q_1 X_3)))) (@ (@ tptp.semila1673364395name_o (@ tptp.collect_pname P_5)) (@ tptp.collect_pname Q_1)))) (forall ((P_5 (-> (-> tptp.pname Bool) Bool)) (Q_1 (-> (-> tptp.pname Bool) Bool))) (= (@ tptp.collect_pname_o (lambda ((X_3 (-> tptp.pname Bool))) (and (@ P_5 X_3) (@ Q_1 X_3)))) (@ (@ tptp.semila2013987940me_o_o (@ tptp.collect_pname_o P_5)) (@ tptp.collect_pname_o Q_1)))) (forall ((P_5 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (Q_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (= (@ tptp.collec219771562tate_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool))) (and (@ P_5 X_3) (@ Q_1 X_3)))) (@ (@ tptp.semila598060698te_o_o (@ tptp.collec219771562tate_o P_5)) (@ 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tptp.hoare_1708887482_state Bool)) (C_20 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.minus_2056855718tate_o A_106))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_62) C_20)) (@ (@ tptp.semila129691299tate_o (@ _let_1 B_62)) (@ _let_1 C_20))))) (forall ((A_105 (-> tptp.pname Bool)) (B_61 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.minus_minus_pname_o A_105) B_61)) (@ (@ tptp.semila1673364395name_o A_105) B_61)) A_105)) (forall ((A_105 (-> tptp.hoare_1708887482_state Bool)) (B_61 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.minus_2056855718tate_o A_105) B_61)) (@ (@ tptp.semila129691299tate_o A_105) B_61)) A_105)) (forall ((X_43 Bool) (Y_24 Bool)) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o X_43) Y_24)) X_43)) (forall ((X_43 (-> tptp.pname Bool)) (Y_24 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o X_43) Y_24)) X_43)) (forall ((X_43 (-> tptp.hoare_1708887482_state Bool)) (Y_24 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o X_43) Y_24)) X_43)) (forall ((X_42 Bool) (Y_23 Bool)) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o X_42) Y_23)) X_42)) (forall ((X_42 (-> tptp.pname Bool)) (Y_23 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o X_42) Y_23)) X_42)) (forall ((X_42 (-> tptp.hoare_1708887482_state Bool)) (Y_23 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o X_42) Y_23)) X_42)) (forall ((X_41 Bool) (Y_22 Bool)) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o X_41) Y_22)) Y_22)) (forall ((X_41 (-> tptp.pname Bool)) (Y_22 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o X_41) Y_22)) Y_22)) (forall ((X_41 (-> tptp.hoare_1708887482_state Bool)) (Y_22 (-> tptp.hoare_1708887482_state Bool))) (@ (@ 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tptp.semila129691299tate_o X_39) Y_20) X_39))) (forall ((X_38 Bool) (Y_19 Bool) (Z_10 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_38))) (= (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_19) Z_10)) (and (@ _let_1 Y_19) (@ _let_1 Z_10))))) (forall ((X_38 (-> tptp.pname Bool)) (Y_19 (-> tptp.pname Bool)) (Z_10 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_38))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_19) Z_10)) (and (@ _let_1 Y_19) (@ _let_1 Z_10))))) (forall ((X_38 (-> tptp.hoare_1708887482_state Bool)) (Y_19 (-> tptp.hoare_1708887482_state Bool)) (Z_10 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_38))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_19) Z_10)) (and (@ _let_1 Y_19) (@ _let_1 Z_10))))) (forall ((B_60 Bool) (A_104 Bool) (X_37 Bool)) (=> (@ (@ tptp.ord_less_eq_o A_104) X_37) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o A_104) B_60)) X_37))) (forall ((B_60 (-> tptp.pname Bool)) (A_104 (-> tptp.pname Bool)) (X_37 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_104) X_37) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_104) B_60)) X_37))) (forall ((B_60 (-> tptp.hoare_1708887482_state Bool)) (A_104 (-> tptp.hoare_1708887482_state Bool)) (X_37 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_104) X_37) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_104) B_60)) X_37))) (forall ((A_103 Bool) (B_59 Bool) (X_36 Bool)) (=> (@ (@ tptp.ord_less_eq_o B_59) X_36) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o A_103) B_59)) X_36))) (forall ((A_103 (-> tptp.pname Bool)) (B_59 (-> tptp.pname Bool)) (X_36 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_59) X_36) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_103) B_59)) X_36))) (forall ((A_103 (-> tptp.hoare_1708887482_state Bool)) (B_59 (-> tptp.hoare_1708887482_state Bool)) (X_36 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_59) X_36) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_103) B_59)) X_36))) (forall ((X_35 Bool) (Y_18 Bool)) (=> (@ (@ tptp.ord_less_eq_o X_35) Y_18) (= (@ (@ tptp.semila854092349_inf_o X_35) Y_18) X_35))) (forall ((X_35 (-> tptp.pname Bool)) (Y_18 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o X_35) Y_18) (= (@ (@ tptp.semila1673364395name_o X_35) Y_18) X_35))) (forall ((X_35 (-> tptp.hoare_1708887482_state Bool)) (Y_18 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o X_35) Y_18) (= (@ (@ tptp.semila129691299tate_o X_35) Y_18) X_35))) (forall ((Y_17 Bool) (X_34 Bool)) (=> (@ (@ tptp.ord_less_eq_o Y_17) X_34) (= (@ (@ tptp.semila854092349_inf_o X_34) Y_17) Y_17))) (forall ((Y_17 (-> tptp.pname Bool)) (X_34 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o Y_17) X_34) (= (@ (@ tptp.semila1673364395name_o X_34) Y_17) Y_17))) (forall ((Y_17 (-> tptp.hoare_1708887482_state Bool)) (X_34 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o Y_17) X_34) (= (@ (@ tptp.semila129691299tate_o X_34) Y_17) Y_17))) (forall ((B_58 Bool) (X_33 Bool) (A_102 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_33))) (=> (@ _let_1 A_102) (=> (@ _let_1 B_58) (@ _let_1 (@ (@ tptp.semila854092349_inf_o A_102) B_58)))))) (forall ((B_58 (-> tptp.pname Bool)) (X_33 (-> tptp.pname Bool)) (A_102 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_33))) (=> (@ _let_1 A_102) (=> (@ _let_1 B_58) (@ _let_1 (@ (@ tptp.semila1673364395name_o A_102) B_58)))))) (forall ((B_58 (-> tptp.hoare_1708887482_state Bool)) (X_33 (-> tptp.hoare_1708887482_state Bool)) (A_102 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_33))) (=> (@ _let_1 A_102) (=> (@ _let_1 B_58) (@ _let_1 (@ (@ tptp.semila129691299tate_o A_102) B_58)))))) (forall ((Z_9 Bool) (X_32 Bool) (Y_16 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_32))) (=> (@ _let_1 Y_16) (=> (@ _let_1 Z_9) (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_16) Z_9)))))) (forall ((Z_9 (-> tptp.pname Bool)) (X_32 (-> tptp.pname Bool)) (Y_16 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_32))) (=> (@ _let_1 Y_16) (=> (@ _let_1 Z_9) (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_16) Z_9)))))) (forall ((Z_9 (-> tptp.hoare_1708887482_state Bool)) (X_32 (-> tptp.hoare_1708887482_state Bool)) (Y_16 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_32))) (=> (@ _let_1 Y_16) (=> (@ _let_1 Z_9) (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_16) Z_9)))))) (forall ((B_57 Bool) (D_2 Bool) (A_101 Bool) (C_19 Bool)) (=> (@ (@ tptp.ord_less_eq_o A_101) C_19) (=> (@ (@ tptp.ord_less_eq_o B_57) D_2) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o A_101) B_57)) (@ (@ tptp.semila854092349_inf_o C_19) D_2))))) (forall ((B_57 (-> tptp.pname Bool)) (D_2 (-> tptp.pname Bool)) (A_101 (-> tptp.pname Bool)) (C_19 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_101) C_19) (=> (@ (@ tptp.ord_less_eq_pname_o B_57) D_2) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_101) B_57)) (@ (@ tptp.semila1673364395name_o C_19) D_2))))) (forall ((B_57 (-> tptp.hoare_1708887482_state Bool)) (D_2 (-> tptp.hoare_1708887482_state Bool)) (A_101 (-> tptp.hoare_1708887482_state Bool)) (C_19 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_101) C_19) (=> (@ (@ tptp.ord_le777019615tate_o B_57) D_2) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_101) B_57)) (@ (@ tptp.semila129691299tate_o C_19) D_2))))) (forall ((X_31 Bool) (A_100 Bool) (B_56 Bool)) (let ((_let_1 (@ tptp.ord_less_eq_o X_31))) (=> (@ _let_1 (@ (@ tptp.semila854092349_inf_o A_100) B_56)) (not (=> (@ _let_1 A_100) (not (@ _let_1 B_56))))))) (forall ((X_31 (-> tptp.pname Bool)) (A_100 (-> tptp.pname Bool)) (B_56 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o X_31))) (=> (@ _let_1 (@ (@ tptp.semila1673364395name_o A_100) B_56)) (not (=> (@ _let_1 A_100) (not (@ _let_1 B_56))))))) (forall ((X_31 (-> tptp.hoare_1708887482_state Bool)) (A_100 (-> tptp.hoare_1708887482_state Bool)) (B_56 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o X_31))) (=> (@ _let_1 (@ (@ tptp.semila129691299tate_o A_100) B_56)) (not (=> (@ _let_1 A_100) (not (@ _let_1 B_56))))))) (forall ((X_30 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o X_30) tptp.bot_bot_com_o) tptp.bot_bot_com_o)) (forall ((X_30 Bool)) (= (@ (@ tptp.semila854092349_inf_o X_30) tptp.bot_bot_o) tptp.bot_bot_o)) (forall ((X_30 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o X_30) tptp.bot_bot_pname_o) tptp.bot_bot_pname_o)) (forall ((X_30 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o X_30) tptp.bot_bo19817387tate_o) tptp.bot_bo19817387tate_o)) (forall ((X_29 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o tptp.bot_bot_com_o) X_29) tptp.bot_bot_com_o)) (forall ((X_29 Bool)) (= (@ (@ tptp.semila854092349_inf_o tptp.bot_bot_o) X_29) tptp.bot_bot_o)) (forall ((X_29 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o tptp.bot_bot_pname_o) X_29) tptp.bot_bot_pname_o)) (forall ((X_29 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o tptp.bot_bo19817387tate_o) X_29) tptp.bot_bo19817387tate_o)) (forall ((X_28 Bool) (Y_15 Bool)) (= (@ (@ tptp.semila854092349_inf_o X_28) (@ (@ tptp.semila10642723_sup_o X_28) Y_15)) X_28)) (forall ((X_28 (-> tptp.pname Bool)) (Y_15 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o X_28) (@ (@ tptp.semila1780557381name_o X_28) Y_15)) X_28)) (forall ((X_28 (-> tptp.hoare_1708887482_state Bool)) (Y_15 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o X_28) (@ (@ tptp.semila1122118281tate_o X_28) Y_15)) X_28)) (forall ((X_27 Bool) (Y_14 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_27) (@ (@ tptp.semila854092349_inf_o X_27) Y_14)) X_27)) (forall ((X_27 (-> tptp.pname Bool)) (Y_14 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o X_27) (@ (@ tptp.semila1673364395name_o X_27) Y_14)) X_27)) (forall ((X_27 (-> tptp.hoare_1708887482_state Bool)) (Y_14 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_27) (@ (@ tptp.semila129691299tate_o X_27) Y_14)) X_27)) (forall ((X_26 Bool) (Y_13 Bool) (Z_8 Bool)) (let ((_let_1 (@ tptp.semila854092349_inf_o X_26))) (= (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_13) Z_8)) (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_13)) (@ _let_1 Z_8))))) (forall ((X_26 (-> tptp.pname Bool)) (Y_13 (-> tptp.pname Bool)) (Z_8 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o X_26))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_13) Z_8)) (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_13)) (@ _let_1 Z_8))))) (forall ((X_26 (-> tptp.hoare_1708887482_state Bool)) (Y_13 (-> tptp.hoare_1708887482_state Bool)) (Z_8 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o X_26))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_13) Z_8)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_13)) (@ _let_1 Z_8))))) (forall ((X_25 Bool) (Y_12 Bool) (Z_7 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_25))) (= (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_12) Z_7)) (@ (@ tptp.semila854092349_inf_o (@ _let_1 Y_12)) (@ _let_1 Z_7))))) (forall ((X_25 (-> tptp.pname Bool)) (Y_12 (-> tptp.pname Bool)) (Z_7 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_25))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_12) Z_7)) (@ (@ tptp.semila1673364395name_o (@ _let_1 Y_12)) (@ _let_1 Z_7))))) (forall ((X_25 (-> tptp.hoare_1708887482_state Bool)) (Y_12 (-> tptp.hoare_1708887482_state Bool)) (Z_7 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_25))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_12) Z_7)) (@ (@ tptp.semila129691299tate_o (@ _let_1 Y_12)) (@ _let_1 Z_7))))) (forall ((Y_11 Bool) (Z_6 Bool) (X_24 Bool)) (= (@ (@ tptp.semila854092349_inf_o (@ (@ tptp.semila10642723_sup_o Y_11) Z_6)) X_24) (@ (@ tptp.semila10642723_sup_o (@ (@ tptp.semila854092349_inf_o Y_11) X_24)) (@ (@ tptp.semila854092349_inf_o Z_6) X_24)))) (forall ((Y_11 (-> tptp.pname Bool)) (Z_6 (-> tptp.pname Bool)) (X_24 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o Y_11) Z_6)) X_24) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o Y_11) X_24)) (@ (@ tptp.semila1673364395name_o Z_6) X_24)))) (forall ((Y_11 (-> tptp.hoare_1708887482_state Bool)) (Z_6 (-> tptp.hoare_1708887482_state Bool)) (X_24 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o Y_11) Z_6)) X_24) (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o Y_11) X_24)) (@ (@ tptp.semila129691299tate_o Z_6) X_24)))) (forall ((Y_10 Bool) (Z_5 Bool) (X_23 Bool)) (= (@ (@ tptp.semila10642723_sup_o (@ (@ tptp.semila854092349_inf_o Y_10) Z_5)) X_23) (@ (@ tptp.semila854092349_inf_o (@ (@ tptp.semila10642723_sup_o Y_10) X_23)) (@ (@ tptp.semila10642723_sup_o Z_5) X_23)))) (forall ((Y_10 (-> tptp.pname Bool)) (Z_5 (-> tptp.pname Bool)) (X_23 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o Y_10) Z_5)) X_23) (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o Y_10) X_23)) (@ (@ tptp.semila1780557381name_o Z_5) X_23)))) (forall ((Y_10 (-> tptp.hoare_1708887482_state Bool)) (Z_5 (-> tptp.hoare_1708887482_state Bool)) (X_23 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o Y_10) Z_5)) X_23) (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o Y_10) X_23)) (@ (@ tptp.semila1122118281tate_o Z_5) X_23)))) (forall ((A_99 (-> tptp.com Bool))) (= (@ (@ tptp.minus_minus_com_o A_99) A_99) tptp.bot_bot_com_o)) (forall ((A_99 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o A_99) A_99) tptp.bot_bot_pname_o)) (forall ((A_99 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o A_99) A_99) tptp.bot_bo19817387tate_o)) (forall ((A_98 (-> tptp.com Bool))) (= (@ (@ tptp.minus_minus_com_o A_98) tptp.bot_bot_com_o) A_98)) (forall ((A_98 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o A_98) tptp.bot_bot_pname_o) A_98)) (forall ((A_98 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o A_98) tptp.bot_bo19817387tate_o) A_98)) (forall ((A_97 (-> tptp.com Bool))) (= (@ (@ tptp.minus_minus_com_o tptp.bot_bot_com_o) A_97) tptp.bot_bot_com_o)) (forall ((A_97 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o tptp.bot_bot_pname_o) A_97) tptp.bot_bot_pname_o)) (forall ((A_97 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o tptp.bot_bo19817387tate_o) A_97) tptp.bot_bo19817387tate_o)) (forall ((A_96 (-> (-> tptp.pname Bool) Bool)) (B_55 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o B_55) (= (@ tptp.finite297249702name_o (@ (@ tptp.minus_1480864103me_o_o A_96) B_55)) (@ tptp.finite297249702name_o A_96)))) (forall ((A_96 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_55 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o B_55) (= (@ tptp.finite1329924456tate_o (@ (@ tptp.minus_548038231te_o_o A_96) B_55)) (@ tptp.finite1329924456tate_o A_96)))) (forall ((A_96 (-> tptp.pname Bool)) (B_55 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname B_55) (= (@ tptp.finite_finite_pname (@ (@ tptp.minus_minus_pname_o A_96) B_55)) (@ tptp.finite_finite_pname A_96)))) (forall ((A_96 (-> tptp.hoare_1708887482_state Bool)) (B_55 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state B_55) (= (@ tptp.finite1625599783_state (@ (@ tptp.minus_2056855718tate_o A_96) B_55)) (@ tptp.finite1625599783_state A_96)))) (forall ((A_95 (-> tptp.com Bool)) (X_22 tptp.com) (B_54 (-> tptp.com Bool))) (=> (@ (@ tptp.member_com X_22) B_54) (= (@ (@ tptp.minus_minus_com_o (@ (@ tptp.insert_com X_22) A_95)) B_54) (@ (@ tptp.minus_minus_com_o A_95) B_54)))) (forall ((A_95 (-> tptp.pname Bool)) (X_22 tptp.pname) (B_54 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname X_22) B_54) (= (@ (@ tptp.minus_minus_pname_o (@ (@ tptp.insert_pname X_22) A_95)) B_54) (@ (@ tptp.minus_minus_pname_o A_95) B_54)))) (forall ((A_95 (-> tptp.hoare_1708887482_state Bool)) (X_22 tptp.hoare_1708887482_state) (B_54 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member451959335_state X_22) B_54) (= (@ (@ tptp.minus_2056855718tate_o (@ (@ tptp.insert528405184_state X_22) A_95)) B_54) (@ (@ tptp.minus_2056855718tate_o A_95) B_54)))) (forall ((A_94 (-> tptp.com Bool)) (X_21 tptp.com) (B_53 (-> tptp.com Bool))) (let ((_let_1 (@ (@ tptp.minus_minus_com_o A_94) B_53))) (let ((_let_2 (@ tptp.insert_com X_21))) (let ((_let_3 (@ (@ tptp.minus_minus_com_o (@ _let_2 A_94)) B_53))) (let ((_let_4 (@ (@ tptp.member_com X_21) B_53))) (and (=> _let_4 (= _let_3 _let_1)) (=> (not _let_4) (= _let_3 (@ _let_2 _let_1))))))))) (forall ((A_94 (-> tptp.pname Bool)) (X_21 tptp.pname) (B_53 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.minus_minus_pname_o A_94) B_53))) (let ((_let_2 (@ tptp.insert_pname X_21))) (let ((_let_3 (@ (@ tptp.minus_minus_pname_o (@ _let_2 A_94)) B_53))) (let ((_let_4 (@ (@ tptp.member_pname X_21) B_53))) (and (=> _let_4 (= _let_3 _let_1)) (=> (not _let_4) (= _let_3 (@ _let_2 _let_1))))))))) (forall ((A_94 (-> tptp.hoare_1708887482_state Bool)) (X_21 tptp.hoare_1708887482_state) (B_53 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.minus_2056855718tate_o A_94) B_53))) (let ((_let_2 (@ tptp.insert528405184_state X_21))) (let ((_let_3 (@ (@ tptp.minus_2056855718tate_o (@ _let_2 A_94)) B_53))) (let ((_let_4 (@ (@ tptp.member451959335_state X_21) B_53))) (and (=> _let_4 (= _let_3 _let_1)) (=> (not _let_4) (= _let_3 (@ _let_2 _let_1))))))))) (forall ((A_93 (-> tptp.com Bool)) (B_52 (-> tptp.com Bool))) (= (= (@ (@ tptp.semila513601829_com_o A_93) B_52) tptp.bot_bot_com_o) (forall ((X_3 tptp.com)) (=> (@ (@ tptp.member_com X_3) A_93) (forall ((Xa tptp.com)) (=> (@ (@ tptp.member_com Xa) B_52) (not (= X_3 Xa)))))))) (forall ((A_93 (-> tptp.pname Bool)) (B_52 (-> tptp.pname Bool))) (= (= (@ (@ tptp.semila1673364395name_o A_93) B_52) tptp.bot_bot_pname_o) (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_93) (forall ((Xa tptp.pname)) (=> (@ (@ tptp.member_pname Xa) B_52) (not (= X_3 Xa)))))))) (forall ((A_93 (-> tptp.hoare_1708887482_state Bool)) (B_52 (-> tptp.hoare_1708887482_state Bool))) (= (= (@ (@ tptp.semila129691299tate_o A_93) B_52) tptp.bot_bo19817387tate_o) (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_93) (forall ((Xa tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state Xa) B_52) (not (= X_3 Xa)))))))) (forall ((A_92 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o A_92) tptp.bot_bot_com_o) tptp.bot_bot_com_o)) (forall ((A_92 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o A_92) tptp.bot_bot_pname_o) tptp.bot_bot_pname_o)) (forall ((A_92 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o A_92) tptp.bot_bo19817387tate_o) tptp.bot_bo19817387tate_o)) (forall ((B_51 (-> tptp.com Bool))) (= (@ (@ tptp.semila513601829_com_o tptp.bot_bot_com_o) B_51) tptp.bot_bot_com_o)) (forall ((B_51 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o tptp.bot_bot_pname_o) B_51) tptp.bot_bot_pname_o)) (forall ((B_51 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o tptp.bot_bo19817387tate_o) B_51) tptp.bot_bo19817387tate_o)) (forall ((C_18 (-> tptp.pname Bool)) (A_91 (-> tptp.pname Bool)) (B_50 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_91) B_50) (=> (@ (@ tptp.ord_less_eq_pname_o B_50) C_18) (= (@ (@ tptp.minus_minus_pname_o B_50) (@ (@ tptp.minus_minus_pname_o C_18) A_91)) A_91)))) (forall ((C_18 (-> tptp.hoare_1708887482_state Bool)) (A_91 (-> tptp.hoare_1708887482_state Bool)) (B_50 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_91) B_50) (=> (@ (@ tptp.ord_le777019615tate_o B_50) C_18) (= (@ (@ tptp.minus_2056855718tate_o B_50) (@ (@ tptp.minus_2056855718tate_o C_18) A_91)) A_91)))) (forall ((D_1 (-> tptp.pname Bool)) (B_49 (-> tptp.pname Bool)) (A_90 (-> tptp.pname Bool)) (C_17 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_90) C_17) (=> (@ (@ tptp.ord_less_eq_pname_o D_1) B_49) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_90) B_49)) (@ (@ tptp.minus_minus_pname_o C_17) D_1))))) (forall ((D_1 (-> tptp.hoare_1708887482_state Bool)) (B_49 (-> tptp.hoare_1708887482_state Bool)) (A_90 (-> tptp.hoare_1708887482_state Bool)) (C_17 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_90) C_17) (=> (@ (@ tptp.ord_le777019615tate_o D_1) B_49) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_90) B_49)) (@ (@ tptp.minus_2056855718tate_o C_17) D_1))))) (forall ((A_89 (-> tptp.pname Bool)) (B_48 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_89) B_48)) A_89)) (forall ((A_89 (-> tptp.hoare_1708887482_state Bool)) (B_48 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_89) B_48)) A_89)) (forall ((A_88 (-> tptp.pname Bool)) (B_47 (-> tptp.pname Bool)) (C_16 (-> tptp.pname Bool))) (= (@ (@ tptp.minus_minus_pname_o (@ (@ tptp.semila1780557381name_o A_88) B_47)) C_16) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.minus_minus_pname_o A_88) C_16)) (@ (@ tptp.minus_minus_pname_o B_47) C_16)))) (forall ((A_88 (-> tptp.hoare_1708887482_state Bool)) (B_47 (-> tptp.hoare_1708887482_state Bool)) (C_16 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.minus_2056855718tate_o (@ (@ tptp.semila1122118281tate_o A_88) B_47)) C_16) (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.minus_2056855718tate_o A_88) C_16)) (@ (@ tptp.minus_2056855718tate_o B_47) C_16)))) (forall ((B_46 (-> tptp.pname Bool)) (A_87 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.minus_minus_pname_o B_46) A_87)) A_87) (@ (@ tptp.semila1780557381name_o B_46) A_87))) (forall ((B_46 (-> tptp.hoare_1708887482_state Bool)) (A_87 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.minus_2056855718tate_o B_46) A_87)) A_87) (@ (@ tptp.semila1122118281tate_o B_46) A_87))) (forall ((A_86 (-> tptp.pname Bool)) (B_45 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_86))) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o B_45) A_86)) (@ _let_1 B_45)))) (forall ((A_86 (-> tptp.hoare_1708887482_state Bool)) (B_45 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_86))) (= (@ _let_1 (@ (@ tptp.minus_2056855718tate_o B_45) A_86)) (@ _let_1 B_45)))) (forall ((B_44 (-> tptp.com Bool)) (A_85 tptp.com) (C_15 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_85))) (=> (@ (@ tptp.member_com A_85) C_15) (= (@ (@ tptp.semila513601829_com_o (@ _let_1 B_44)) C_15) (@ _let_1 (@ (@ tptp.semila513601829_com_o B_44) C_15)))))) (forall ((B_44 (-> tptp.pname Bool)) (A_85 tptp.pname) (C_15 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_85))) (=> (@ (@ tptp.member_pname A_85) C_15) (= (@ (@ tptp.semila1673364395name_o (@ _let_1 B_44)) C_15) (@ _let_1 (@ (@ tptp.semila1673364395name_o B_44) C_15)))))) (forall ((B_44 (-> tptp.hoare_1708887482_state Bool)) (A_85 tptp.hoare_1708887482_state) (C_15 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_85))) (=> (@ (@ tptp.member451959335_state A_85) C_15) (= (@ (@ tptp.semila129691299tate_o (@ _let_1 B_44)) C_15) (@ _let_1 (@ (@ tptp.semila129691299tate_o B_44) C_15)))))) (forall ((B_43 (-> tptp.com Bool)) (A_84 tptp.com) (A_83 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.semila513601829_com_o A_83))) (let ((_let_2 (@ tptp.insert_com A_84))) (=> (@ (@ tptp.member_com A_84) A_83) (= (@ _let_1 (@ _let_2 B_43)) (@ _let_2 (@ _let_1 B_43))))))) (forall ((B_43 (-> tptp.pname Bool)) (A_84 tptp.pname) (A_83 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_83))) (let ((_let_2 (@ tptp.insert_pname A_84))) (=> (@ (@ tptp.member_pname A_84) A_83) (= (@ _let_1 (@ _let_2 B_43)) (@ _let_2 (@ _let_1 B_43))))))) (forall ((B_43 (-> tptp.hoare_1708887482_state Bool)) (A_84 tptp.hoare_1708887482_state) (A_83 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_83))) (let ((_let_2 (@ tptp.insert528405184_state A_84))) (=> (@ (@ tptp.member451959335_state A_84) A_83) (= (@ _let_1 (@ _let_2 B_43)) (@ _let_2 (@ _let_1 B_43))))))) (forall ((B_42 (-> tptp.com Bool)) (A_82 tptp.com) (C_14 (-> tptp.com Bool))) (=> (not (@ (@ tptp.member_com A_82) C_14)) (= (@ (@ tptp.semila513601829_com_o (@ (@ tptp.insert_com A_82) B_42)) C_14) (@ (@ tptp.semila513601829_com_o B_42) C_14)))) (forall ((B_42 (-> tptp.pname Bool)) (A_82 tptp.pname) (C_14 (-> tptp.pname Bool))) (=> (not (@ (@ tptp.member_pname A_82) C_14)) (= (@ (@ tptp.semila1673364395name_o (@ (@ tptp.insert_pname A_82) B_42)) C_14) (@ (@ tptp.semila1673364395name_o B_42) C_14)))) (forall ((B_42 (-> tptp.hoare_1708887482_state Bool)) (A_82 tptp.hoare_1708887482_state) (C_14 (-> tptp.hoare_1708887482_state Bool))) (=> (not (@ (@ tptp.member451959335_state A_82) C_14)) (= (@ (@ tptp.semila129691299tate_o (@ (@ tptp.insert528405184_state A_82) B_42)) C_14) (@ (@ tptp.semila129691299tate_o B_42) C_14)))) (forall ((B_41 (-> tptp.com Bool)) (A_81 tptp.com) (A_80 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.semila513601829_com_o A_80))) (=> (not (@ (@ tptp.member_com A_81) A_80)) (= (@ _let_1 (@ (@ tptp.insert_com A_81) B_41)) (@ _let_1 B_41))))) (forall ((B_41 (-> tptp.pname Bool)) (A_81 tptp.pname) (A_80 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_80))) (=> (not (@ (@ tptp.member_pname A_81) A_80)) (= (@ _let_1 (@ (@ tptp.insert_pname A_81) B_41)) (@ _let_1 B_41))))) (forall ((B_41 (-> tptp.hoare_1708887482_state Bool)) (A_81 tptp.hoare_1708887482_state) (A_80 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_80))) (=> (not (@ (@ tptp.member451959335_state A_81) A_80)) (= (@ _let_1 (@ (@ tptp.insert528405184_state A_81) B_41)) (@ _let_1 B_41))))) (forall ((A_79 tptp.com) (A_78 (-> tptp.com Bool)) (B_40 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_79))) (= (@ (@ tptp.semila513601829_com_o (@ _let_1 A_78)) (@ _let_1 B_40)) (@ _let_1 (@ (@ tptp.semila513601829_com_o A_78) B_40))))) (forall ((A_79 tptp.pname) (A_78 (-> tptp.pname Bool)) (B_40 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_79))) (= (@ (@ tptp.semila1673364395name_o (@ _let_1 A_78)) (@ _let_1 B_40)) (@ _let_1 (@ (@ tptp.semila1673364395name_o A_78) B_40))))) (forall ((A_79 tptp.hoare_1708887482_state) (A_78 (-> tptp.hoare_1708887482_state Bool)) (B_40 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_79))) (= (@ (@ tptp.semila129691299tate_o (@ _let_1 A_78)) (@ _let_1 B_40)) (@ _let_1 (@ (@ tptp.semila129691299tate_o A_78) B_40))))) (forall ((B_39 (-> tptp.com Bool)) (A_77 tptp.com) (C_13 (-> tptp.com Bool))) (let ((_let_1 (@ (@ tptp.semila513601829_com_o B_39) C_13))) (let ((_let_2 (@ tptp.insert_com A_77))) (let ((_let_3 (@ (@ tptp.semila513601829_com_o (@ _let_2 B_39)) C_13))) (let ((_let_4 (@ (@ tptp.member_com A_77) C_13))) (and (=> _let_4 (= _let_3 (@ _let_2 _let_1))) (=> (not _let_4) (= _let_3 _let_1)))))))) (forall ((B_39 (-> tptp.pname Bool)) (A_77 tptp.pname) (C_13 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.semila1673364395name_o B_39) C_13))) (let ((_let_2 (@ tptp.insert_pname A_77))) (let ((_let_3 (@ (@ tptp.semila1673364395name_o (@ _let_2 B_39)) C_13))) (let ((_let_4 (@ (@ tptp.member_pname A_77) C_13))) (and (=> _let_4 (= _let_3 (@ _let_2 _let_1))) (=> (not _let_4) (= _let_3 _let_1)))))))) (forall ((B_39 (-> tptp.hoare_1708887482_state Bool)) (A_77 tptp.hoare_1708887482_state) (C_13 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.semila129691299tate_o B_39) C_13))) (let ((_let_2 (@ tptp.insert528405184_state A_77))) (let ((_let_3 (@ (@ tptp.semila129691299tate_o (@ _let_2 B_39)) C_13))) (let ((_let_4 (@ (@ tptp.member451959335_state A_77) C_13))) (and (=> _let_4 (= _let_3 (@ _let_2 _let_1))) (=> (not _let_4) (= _let_3 _let_1)))))))) (forall ((B_38 (-> tptp.com Bool)) (A_76 tptp.com) (A_75 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.semila513601829_com_o A_75))) (let ((_let_2 (@ _let_1 B_38))) (let ((_let_3 (@ tptp.insert_com A_76))) (let ((_let_4 (@ _let_1 (@ _let_3 B_38)))) (let ((_let_5 (@ (@ tptp.member_com A_76) A_75))) (and (=> _let_5 (= _let_4 (@ _let_3 _let_2))) (=> (not _let_5) (= _let_4 _let_2))))))))) (forall ((B_38 (-> tptp.pname Bool)) (A_76 tptp.pname) (A_75 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_75))) (let ((_let_2 (@ _let_1 B_38))) (let ((_let_3 (@ tptp.insert_pname A_76))) (let ((_let_4 (@ _let_1 (@ _let_3 B_38)))) (let ((_let_5 (@ (@ tptp.member_pname A_76) A_75))) (and (=> _let_5 (= _let_4 (@ _let_3 _let_2))) (=> (not _let_5) (= _let_4 _let_2))))))))) (forall ((B_38 (-> tptp.hoare_1708887482_state Bool)) (A_76 tptp.hoare_1708887482_state) (A_75 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_75))) (let ((_let_2 (@ _let_1 B_38))) (let ((_let_3 (@ tptp.insert528405184_state A_76))) (let ((_let_4 (@ _let_1 (@ _let_3 B_38)))) (let ((_let_5 (@ (@ tptp.member451959335_state A_76) A_75))) (and (=> _let_5 (= _let_4 (@ _let_3 _let_2))) (=> (not _let_5) (= _let_4 _let_2))))))))) (forall ((B_37 (-> tptp.pname Bool)) (D (-> tptp.pname Bool)) (A_74 (-> tptp.pname Bool)) (C_12 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_74) C_12) (=> (@ (@ tptp.ord_less_eq_pname_o B_37) D) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_74) B_37)) (@ (@ tptp.semila1673364395name_o C_12) D))))) (forall ((B_37 (-> tptp.hoare_1708887482_state Bool)) (D (-> tptp.hoare_1708887482_state Bool)) (A_74 (-> tptp.hoare_1708887482_state Bool)) (C_12 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_74) C_12) (=> (@ (@ tptp.ord_le777019615tate_o B_37) D) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_74) B_37)) (@ (@ tptp.semila129691299tate_o C_12) D))))) (forall ((B_36 (-> tptp.pname Bool)) (C_11 (-> tptp.pname Bool)) (A_73 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o C_11))) (=> (@ _let_1 A_73) (=> (@ _let_1 B_36) (@ _let_1 (@ (@ tptp.semila1673364395name_o A_73) B_36)))))) (forall ((B_36 (-> tptp.hoare_1708887482_state Bool)) (C_11 (-> tptp.hoare_1708887482_state Bool)) (A_73 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o C_11))) (=> (@ _let_1 A_73) (=> (@ _let_1 B_36) (@ _let_1 (@ (@ tptp.semila129691299tate_o A_73) B_36)))))) (forall ((B_35 (-> tptp.pname Bool)) (A_72 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o B_35) A_72) (= (@ (@ tptp.semila1673364395name_o A_72) B_35) B_35))) (forall ((B_35 (-> tptp.hoare_1708887482_state Bool)) (A_72 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o B_35) A_72) (= (@ (@ tptp.semila129691299tate_o A_72) B_35) B_35))) (forall ((A_71 (-> tptp.pname Bool)) (B_34 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_71) B_34) (= (@ (@ tptp.semila1673364395name_o A_71) B_34) A_71))) (forall ((A_71 (-> tptp.hoare_1708887482_state Bool)) (B_34 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_71) B_34) (= (@ (@ tptp.semila129691299tate_o A_71) B_34) A_71))) (forall ((A_70 (-> tptp.pname Bool)) (B_33 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_70) B_33)) B_33)) (forall ((A_70 (-> tptp.hoare_1708887482_state Bool)) (B_33 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_70) B_33)) B_33)) (forall ((A_69 (-> tptp.pname Bool)) (B_32 (-> tptp.pname Bool))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_69) B_32)) A_69)) (forall ((A_69 (-> tptp.hoare_1708887482_state Bool)) (B_32 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_69) B_32)) A_69)) (forall ((A_68 (-> tptp.pname Bool)) (B_31 (-> tptp.pname Bool)) (C_10 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o A_68) B_31)) (@ (@ tptp.semila1673364395name_o B_31) C_10))) (@ (@ tptp.semila1673364395name_o C_10) A_68)) (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o A_68) B_31)) (@ (@ tptp.semila1780557381name_o B_31) C_10))) (@ (@ tptp.semila1780557381name_o C_10) A_68)))) (forall ((A_68 (-> tptp.hoare_1708887482_state Bool)) (B_31 (-> tptp.hoare_1708887482_state Bool)) (C_10 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o A_68) B_31)) (@ (@ tptp.semila129691299tate_o B_31) C_10))) (@ (@ tptp.semila129691299tate_o C_10) A_68)) (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o A_68) B_31)) (@ (@ tptp.semila1122118281tate_o B_31) C_10))) (@ (@ tptp.semila1122118281tate_o C_10) A_68)))) (forall ((B_30 (-> tptp.pname Bool)) (C_9 (-> tptp.pname Bool)) (A_67 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o B_30) C_9)) A_67) (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o B_30) A_67)) (@ (@ tptp.semila1780557381name_o C_9) A_67)))) (forall ((B_30 (-> tptp.hoare_1708887482_state Bool)) (C_9 (-> tptp.hoare_1708887482_state Bool)) (A_67 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o B_30) C_9)) A_67) (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o B_30) A_67)) (@ (@ tptp.semila1122118281tate_o C_9) A_67)))) (forall ((B_29 (-> tptp.pname Bool)) (C_8 (-> tptp.pname Bool)) (A_66 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1673364395name_o (@ (@ tptp.semila1780557381name_o B_29) C_8)) A_66) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o B_29) A_66)) (@ (@ tptp.semila1673364395name_o C_8) A_66)))) (forall ((B_29 (-> tptp.hoare_1708887482_state Bool)) (C_8 (-> tptp.hoare_1708887482_state Bool)) (A_66 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila129691299tate_o (@ (@ tptp.semila1122118281tate_o B_29) C_8)) A_66) (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.semila129691299tate_o B_29) A_66)) (@ (@ tptp.semila129691299tate_o C_8) A_66)))) (forall ((A_65 (-> tptp.pname Bool)) (B_28 (-> tptp.pname Bool)) (C_7 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o A_65))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o B_28) C_7)) (@ (@ tptp.semila1673364395name_o (@ _let_1 B_28)) (@ _let_1 C_7))))) (forall ((A_65 (-> tptp.hoare_1708887482_state Bool)) (B_28 (-> tptp.hoare_1708887482_state Bool)) (C_7 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o A_65))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o B_28) C_7)) (@ (@ tptp.semila129691299tate_o (@ _let_1 B_28)) (@ _let_1 C_7))))) (forall ((A_64 (-> tptp.pname Bool)) (B_27 (-> tptp.pname Bool)) (C_6 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_64))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o B_27) C_6)) (@ (@ tptp.semila1780557381name_o (@ _let_1 B_27)) (@ _let_1 C_6))))) (forall ((A_64 (-> tptp.hoare_1708887482_state Bool)) (B_27 (-> tptp.hoare_1708887482_state Bool)) (C_6 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_64))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_27) C_6)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_27)) (@ _let_1 C_6))))) (forall ((X_20 Bool) (Y_9 Bool) (Z_4 Bool)) (let ((_let_1 (@ tptp.semila854092349_inf_o X_20))) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_9)) (@ _let_1 Z_4))) (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_9) Z_4))))) (forall ((X_20 (-> tptp.pname Bool)) (Y_9 (-> tptp.pname Bool)) (Z_4 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o X_20))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_9)) (@ _let_1 Z_4))) (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_9) Z_4))))) (forall ((X_20 (-> tptp.hoare_1708887482_state Bool)) (Y_9 (-> tptp.hoare_1708887482_state Bool)) (Z_4 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o X_20))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_9)) (@ _let_1 Z_4))) (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_9) Z_4))))) (forall ((X_19 Bool) (Y_8 Bool) (Z_3 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_19))) (@ (@ tptp.ord_less_eq_o (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_8) Z_3))) (@ (@ tptp.semila854092349_inf_o (@ _let_1 Y_8)) (@ _let_1 Z_3))))) (forall ((X_19 (-> tptp.pname Bool)) (Y_8 (-> tptp.pname Bool)) (Z_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_19))) (@ (@ tptp.ord_less_eq_pname_o (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_8) Z_3))) (@ (@ tptp.semila1673364395name_o (@ _let_1 Y_8)) (@ _let_1 Z_3))))) (forall ((X_19 (-> tptp.hoare_1708887482_state Bool)) (Y_8 (-> tptp.hoare_1708887482_state Bool)) (Z_3 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_19))) (@ (@ tptp.ord_le777019615tate_o (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_8) Z_3))) (@ (@ tptp.semila129691299tate_o (@ _let_1 Y_8)) (@ _let_1 Z_3))))) (forall ((A_63 tptp.com) (A_62 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_63))) (=> (@ (@ tptp.member_com A_63) A_62) (= (@ _let_1 (@ (@ tptp.minus_minus_com_o A_62) (@ _let_1 tptp.bot_bot_com_o))) A_62)))) (forall ((A_63 tptp.pname) (A_62 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_63))) (=> (@ (@ tptp.member_pname A_63) A_62) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_62) (@ _let_1 tptp.bot_bot_pname_o))) A_62)))) (forall ((A_63 tptp.hoare_1708887482_state) (A_62 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_63))) (=> (@ (@ tptp.member451959335_state A_63) A_62) (= (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_62) (@ _let_1 tptp.bot_bo19817387tate_o))) A_62)))) (forall ((X_18 tptp.com) (A_61 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com X_18))) (=> (not (@ (@ tptp.member_com X_18) A_61)) (= (@ (@ tptp.minus_minus_com_o (@ _let_1 A_61)) (@ _let_1 tptp.bot_bot_com_o)) A_61)))) (forall ((X_18 tptp.pname) (A_61 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname X_18))) (=> (not (@ (@ tptp.member_pname X_18) A_61)) (= (@ (@ tptp.minus_minus_pname_o (@ _let_1 A_61)) (@ _let_1 tptp.bot_bot_pname_o)) A_61)))) (forall ((X_18 tptp.hoare_1708887482_state) (A_61 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state X_18))) (=> (not (@ (@ tptp.member451959335_state X_18) A_61)) (= (@ (@ tptp.minus_2056855718tate_o (@ _let_1 A_61)) (@ _let_1 tptp.bot_bo19817387tate_o)) A_61)))) (forall ((A_60 tptp.com) (A_59 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_60))) (= (@ _let_1 (@ (@ tptp.minus_minus_com_o A_59) (@ _let_1 tptp.bot_bot_com_o))) (@ _let_1 A_59)))) (forall ((A_60 tptp.pname) (A_59 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_60))) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_59) (@ _let_1 tptp.bot_bot_pname_o))) (@ _let_1 A_59)))) (forall ((A_60 tptp.hoare_1708887482_state) (A_59 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_60))) (= (@ _let_1 (@ (@ tptp.minus_2056855718tate_o A_59) (@ _let_1 tptp.bot_bo19817387tate_o))) (@ _let_1 A_59)))) (forall ((A_58 (-> tptp.com Bool)) (A_57 tptp.com) (B_26 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_57))) (let ((_let_2 (@ tptp.minus_minus_com_o A_58))) (= (@ _let_2 (@ _let_1 B_26)) (@ (@ tptp.minus_minus_com_o (@ _let_2 (@ _let_1 tptp.bot_bot_com_o))) B_26))))) (forall ((A_58 (-> tptp.pname Bool)) (A_57 tptp.pname) (B_26 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_57))) (let ((_let_2 (@ tptp.minus_minus_pname_o A_58))) (= (@ _let_2 (@ _let_1 B_26)) (@ (@ tptp.minus_minus_pname_o (@ _let_2 (@ _let_1 tptp.bot_bot_pname_o))) B_26))))) (forall ((A_58 (-> tptp.hoare_1708887482_state Bool)) (A_57 tptp.hoare_1708887482_state) (B_26 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_57))) (let ((_let_2 (@ tptp.minus_2056855718tate_o A_58))) (= (@ _let_2 (@ _let_1 B_26)) (@ (@ tptp.minus_2056855718tate_o (@ _let_2 (@ _let_1 tptp.bot_bo19817387tate_o))) B_26))))) (forall ((A_56 (-> tptp.com Bool)) (A_55 tptp.com) (B_25 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com A_55))) (let ((_let_2 (@ tptp.minus_minus_com_o A_56))) (= (@ _let_2 (@ _let_1 B_25)) (@ (@ tptp.minus_minus_com_o (@ _let_2 B_25)) (@ _let_1 tptp.bot_bot_com_o)))))) (forall ((A_56 (-> tptp.pname Bool)) (A_55 tptp.pname) (B_25 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_55))) (let ((_let_2 (@ tptp.minus_minus_pname_o A_56))) (= (@ _let_2 (@ _let_1 B_25)) (@ (@ tptp.minus_minus_pname_o (@ _let_2 B_25)) (@ _let_1 tptp.bot_bot_pname_o)))))) (forall ((A_56 (-> tptp.hoare_1708887482_state Bool)) (A_55 tptp.hoare_1708887482_state) (B_25 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state A_55))) (let ((_let_2 (@ tptp.minus_2056855718tate_o A_56))) (= (@ _let_2 (@ _let_1 B_25)) (@ (@ tptp.minus_2056855718tate_o (@ _let_2 B_25)) (@ _let_1 tptp.bot_bo19817387tate_o)))))) (forall ((A_54 (-> tptp.com Bool)) (A_53 tptp.com) (B_24 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.minus_minus_com_o A_54))) (= (@ tptp.finite_finite_com (@ _let_1 (@ (@ tptp.insert_com A_53) B_24))) (@ tptp.finite_finite_com (@ _let_1 B_24))))) (forall ((A_54 (-> tptp.pname Bool)) (A_53 tptp.pname) (B_24 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.minus_minus_pname_o A_54))) (= (@ tptp.finite_finite_pname (@ _let_1 (@ (@ tptp.insert_pname A_53) B_24))) (@ tptp.finite_finite_pname (@ _let_1 B_24))))) (forall ((A_54 (-> tptp.hoare_1708887482_state Bool)) (A_53 tptp.hoare_1708887482_state) (B_24 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.minus_2056855718tate_o A_54))) (= (@ tptp.finite1625599783_state (@ _let_1 (@ (@ tptp.insert528405184_state A_53) B_24))) (@ tptp.finite1625599783_state (@ _let_1 B_24))))) (forall ((A_54 (-> (-> tptp.pname Bool) Bool)) (A_53 (-> tptp.pname Bool)) (B_24 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ tptp.minus_1480864103me_o_o A_54))) (= (@ tptp.finite297249702name_o (@ _let_1 (@ (@ tptp.insert_pname_o A_53) B_24))) (@ tptp.finite297249702name_o (@ _let_1 B_24))))) (forall ((A_54 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_53 (-> tptp.hoare_1708887482_state Bool)) (B_24 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ tptp.minus_548038231te_o_o A_54))) (= (@ tptp.finite1329924456tate_o (@ _let_1 (@ (@ tptp.insert949073679tate_o A_53) B_24))) (@ tptp.finite1329924456tate_o (@ _let_1 B_24))))) (forall ((F_27 (-> tptp.pname tptp.hoare_1708887482_state)) (A_52 (-> tptp.pname Bool)) (B_23 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_27))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o (@ _let_1 A_52)) (@ _let_1 B_23))) (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_52) B_23))))) (forall ((A_51 (-> tptp.pname Bool)) (B_22 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_51) B_22) (= (@ (@ tptp.semila1780557381name_o A_51) (@ (@ tptp.minus_minus_pname_o B_22) A_51)) B_22))) (forall ((A_51 (-> tptp.hoare_1708887482_state Bool)) (B_22 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_51) B_22) (= (@ (@ tptp.semila1122118281tate_o A_51) (@ (@ tptp.minus_2056855718tate_o B_22) A_51)) B_22))) (forall ((A_50 (-> tptp.pname Bool)) (B_21 (-> tptp.pname Bool)) (C_5 (-> tptp.pname Bool))) (= (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_50) B_21)) C_5) (@ (@ tptp.ord_less_eq_pname_o A_50) (@ (@ tptp.semila1780557381name_o B_21) C_5)))) (forall ((A_50 (-> tptp.hoare_1708887482_state Bool)) (B_21 (-> tptp.hoare_1708887482_state Bool)) (C_5 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_50) B_21)) C_5) (@ (@ tptp.ord_le777019615tate_o A_50) (@ (@ tptp.semila1122118281tate_o B_21) C_5)))) (forall ((F_26 (-> tptp.pname tptp.hoare_1708887482_state)) (A_49 (-> tptp.pname Bool)) (B_20 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_26))) (@ (@ tptp.ord_le777019615tate_o (@ _let_1 (@ (@ tptp.semila1673364395name_o A_49) B_20))) (@ (@ tptp.semila129691299tate_o (@ _let_1 A_49)) (@ _let_1 B_20))))) (forall ((A_48 (-> tptp.pname Bool)) (B_19 (-> tptp.pname Bool)) (C_4 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o A_48))) (= (= (@ (@ tptp.semila1780557381name_o (@ _let_1 B_19)) C_4) (@ _let_1 (@ (@ tptp.semila1780557381name_o B_19) C_4))) (@ (@ tptp.ord_less_eq_pname_o C_4) A_48)))) (forall ((A_48 (-> tptp.hoare_1708887482_state Bool)) (B_19 (-> tptp.hoare_1708887482_state Bool)) (C_4 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o A_48))) (= (= (@ (@ tptp.semila1122118281tate_o (@ _let_1 B_19)) C_4) (@ _let_1 (@ (@ tptp.semila1122118281tate_o B_19) C_4))) (@ (@ tptp.ord_le777019615tate_o C_4) A_48)))) (forall ((P_4 (-> tptp.pname Bool)) (F_25 (-> tptp.pname tptp.hoare_1708887482_state)) (G_4 (-> tptp.pname tptp.hoare_1708887482_state)) (S (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o S))) (= (@ (@ tptp.image_1116629049_state (lambda ((X_3 tptp.pname)) (@ (@ (@ tptp.if_Hoa1374726218_state (@ P_4 X_3)) (@ F_25 X_3)) (@ G_4 X_3)))) S) (@ (@ tptp.semila1122118281tate_o (@ (@ tptp.image_1116629049_state F_25) (@ _let_1 (@ tptp.collect_pname P_4)))) (@ (@ tptp.image_1116629049_state G_4) (@ _let_1 (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (not (@ P_4 X_3)))))))))) (forall ((P_3 (-> tptp.pname Bool)) (F_24 (-> tptp.pname tptp.option_com)) (G_3 (-> tptp.pname tptp.option_com))) (= (@ tptp.dom_pname_com (lambda ((X_3 tptp.pname)) (@ (@ (@ tptp.if_option_com (@ P_3 X_3)) (@ F_24 X_3)) (@ G_3 X_3)))) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.semila1673364395name_o (@ tptp.dom_pname_com F_24)) (@ tptp.collect_pname P_3))) (@ (@ tptp.semila1673364395name_o (@ tptp.dom_pname_com G_3)) (@ tptp.collect_pname (lambda ((X_3 tptp.pname)) (not (@ P_3 X_3)))))))) (forall ((A_47 (-> tptp.com Bool)) (X_17 tptp.com) (B_18 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.insert_com X_17))) (=> (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.minus_minus_com_o A_47) (@ _let_1 tptp.bot_bot_com_o))) B_18) (=> (@ (@ tptp.member_com X_17) A_47) (@ (@ tptp.ord_less_eq_com_o A_47) (@ _let_1 B_18)))))) (forall ((A_47 (-> tptp.pname Bool)) (X_17 tptp.pname) (B_18 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname X_17))) (=> (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_47) (@ _let_1 tptp.bot_bot_pname_o))) B_18) (=> (@ (@ tptp.member_pname X_17) A_47) (@ (@ tptp.ord_less_eq_pname_o A_47) (@ _let_1 B_18)))))) (forall ((A_47 (-> tptp.hoare_1708887482_state Bool)) (X_17 tptp.hoare_1708887482_state) (B_18 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.insert528405184_state X_17))) (=> (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_47) (@ _let_1 tptp.bot_bo19817387tate_o))) B_18) (=> (@ (@ tptp.member451959335_state X_17) A_47) (@ (@ tptp.ord_le777019615tate_o A_47) (@ _let_1 B_18)))))) (forall ((A_46 (-> tptp.com Bool)) (X_16 tptp.com) (B_17 (-> tptp.com Bool))) (let ((_let_1 (@ tptp.ord_less_eq_com_o A_46))) (let ((_let_2 (@ (@ tptp.member_com X_16) A_46))) (let ((_let_3 (@ tptp.insert_com X_16))) (= (@ _let_1 (@ _let_3 B_17)) (and (=> _let_2 (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.minus_minus_com_o A_46) (@ _let_3 tptp.bot_bot_com_o))) B_17)) (=> (not _let_2) (@ _let_1 B_17)))))))) (forall ((A_46 (-> tptp.pname Bool)) (X_16 tptp.pname) (B_17 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.ord_less_eq_pname_o A_46))) (let ((_let_2 (@ (@ tptp.member_pname X_16) A_46))) (let ((_let_3 (@ tptp.insert_pname X_16))) (= (@ _let_1 (@ _let_3 B_17)) (and (=> _let_2 (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.minus_minus_pname_o A_46) (@ _let_3 tptp.bot_bot_pname_o))) B_17)) (=> (not _let_2) (@ _let_1 B_17)))))))) (forall ((A_46 (-> tptp.hoare_1708887482_state Bool)) (X_16 tptp.hoare_1708887482_state) (B_17 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.ord_le777019615tate_o A_46))) (let ((_let_2 (@ (@ tptp.member451959335_state X_16) A_46))) (let ((_let_3 (@ tptp.insert528405184_state X_16))) (= (@ _let_1 (@ _let_3 B_17)) (and (=> _let_2 (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.minus_2056855718tate_o A_46) (@ _let_3 tptp.bot_bo19817387tate_o))) B_17)) (=> (not _let_2) (@ _let_1 B_17)))))))) (forall ((P_2 (-> (-> tptp.com Bool) Bool)) (A_45 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 tptp.com) (A_39 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_39) (=> (@ (@ tptp.member_com A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_minus_com_o A_39) (@ (@ tptp.insert_com A_6) tptp.bot_bot_com_o))))))) (@ P_2 tptp.bot_bot_com_o))))) (forall ((P_2 (-> (-> tptp.pname Bool) Bool)) (A_45 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 tptp.pname) (A_39 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_39) (=> (@ (@ tptp.member_pname A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_minus_pname_o A_39) (@ (@ tptp.insert_pname A_6) tptp.bot_bot_pname_o))))))) (@ P_2 tptp.bot_bot_pname_o))))) (forall ((P_2 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_45 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 tptp.hoare_1708887482_state) (A_39 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_39) (=> (@ (@ tptp.member451959335_state A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_2056855718tate_o A_39) (@ (@ tptp.insert528405184_state A_6) tptp.bot_bo19817387tate_o))))))) (@ P_2 tptp.bot_bo19817387tate_o))))) (forall ((P_2 (-> (-> (-> tptp.pname Bool) Bool) Bool)) (A_45 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 (-> tptp.pname Bool)) (A_39 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_39) (=> (@ (@ tptp.member_pname_o A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_1480864103me_o_o A_39) (@ (@ tptp.insert_pname_o A_6) tptp.bot_bot_pname_o_o))))))) (@ P_2 tptp.bot_bot_pname_o_o))))) (forall ((P_2 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) Bool)) (A_45 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_45) (=> (@ P_2 A_45) (=> (forall ((A_6 (-> tptp.hoare_1708887482_state Bool)) (A_39 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_39) (=> (@ (@ tptp.member814030440tate_o A_6) A_39) (=> (@ P_2 A_39) (@ P_2 (@ (@ tptp.minus_548038231te_o_o A_39) (@ (@ tptp.insert949073679tate_o A_6) tptp.bot_bo1678742418te_o_o))))))) (@ P_2 tptp.bot_bo1678742418te_o_o))))) (forall ((F_23 (-> tptp.pname tptp.option_com)) (G_2 (-> tptp.pname tptp.option_com)) (A_44 (-> tptp.pname Bool))) (= (@ tptp.dom_pname_com (@ (@ (@ tptp.overri1496249029on_com F_23) G_2) A_44)) (@ (@ tptp.semila1780557381name_o (@ (@ tptp.minus_minus_pname_o (@ tptp.dom_pname_com F_23)) (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (@ (@ tptp.member_pname A_6) (@ (@ tptp.minus_minus_pname_o A_44) (@ tptp.dom_pname_com G_2))))))) (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (@ (@ tptp.member_pname A_6) (@ (@ tptp.semila1673364395name_o A_44) (@ tptp.dom_pname_com G_2)))))))) (forall ((Q (-> tptp.com Bool)) (P_1 (-> tptp.com Bool)) (A_43 (-> tptp.com Bool)) (B_16 (-> tptp.com Bool))) (=> (@ (@ tptp.ord_less_eq_com_o A_43) B_16) (=> (forall ((X_3 tptp.com)) (=> (@ (@ tptp.member_com X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_less_eq_com_o (@ (@ tptp.semila513601829_com_o A_43) (@ tptp.collect_com P_1))) (@ (@ tptp.semila513601829_com_o B_16) (@ tptp.collect_com Q)))))) (forall ((Q (-> tptp.pname Bool)) (P_1 (-> tptp.pname Bool)) (A_43 (-> tptp.pname Bool)) (B_16 (-> tptp.pname Bool))) (=> (@ (@ tptp.ord_less_eq_pname_o A_43) B_16) (=> (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o A_43) (@ tptp.collect_pname P_1))) (@ (@ tptp.semila1673364395name_o B_16) (@ tptp.collect_pname Q)))))) (forall ((Q (-> tptp.hoare_1708887482_state Bool)) (P_1 (-> tptp.hoare_1708887482_state Bool)) (A_43 (-> tptp.hoare_1708887482_state Bool)) (B_16 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.ord_le777019615tate_o A_43) B_16) (=> (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o A_43) (@ tptp.collec1568722789_state P_1))) (@ (@ tptp.semila129691299tate_o B_16) (@ tptp.collec1568722789_state Q)))))) (forall ((Q (-> (-> tptp.pname Bool) Bool)) (P_1 (-> (-> tptp.pname Bool) Bool)) (A_43 (-> (-> tptp.pname Bool) Bool)) (B_16 (-> (-> tptp.pname Bool) Bool))) (=> (@ (@ tptp.ord_le1205211808me_o_o A_43) B_16) (=> (forall ((X_3 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname_o X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_le1205211808me_o_o (@ (@ tptp.semila2013987940me_o_o A_43) (@ tptp.collect_pname_o P_1))) (@ (@ tptp.semila2013987940me_o_o B_16) (@ tptp.collect_pname_o Q)))))) (forall ((Q (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (P_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_43 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (B_16 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ (@ tptp.ord_le1728773982te_o_o A_43) B_16) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member814030440tate_o X_3) A_43) (=> (@ P_1 X_3) (@ Q X_3)))) (@ (@ tptp.ord_le1728773982te_o_o (@ (@ tptp.semila598060698te_o_o A_43) (@ tptp.collec219771562tate_o P_1))) (@ (@ tptp.semila598060698te_o_o B_16) (@ tptp.collec219771562tate_o Q)))))) (forall ((X_15 Bool) (Y_7 Bool) (Z_2 Bool)) (let ((_let_1 (@ tptp.semila854092349_inf_o X_15))) (=> (forall ((X_3 Bool) (Y_4 Bool) (Z_1 Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_3))) (= (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_4) Z_1)) (@ (@ tptp.semila854092349_inf_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_7) Z_2)) (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_7)) (@ _let_1 Z_2)))))) (forall ((X_15 (-> tptp.pname Bool)) (Y_7 (-> tptp.pname Bool)) (Z_2 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o X_15))) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool)) (Z_1 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_3))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_4) Z_1)) (@ (@ tptp.semila1673364395name_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_7) Z_2)) (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_7)) (@ _let_1 Z_2)))))) (forall ((X_15 (-> tptp.hoare_1708887482_state Bool)) (Y_7 (-> tptp.hoare_1708887482_state Bool)) (Z_2 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o X_15))) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool)) (Z_1 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_3))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_4) Z_1)) (@ (@ tptp.semila129691299tate_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_7) Z_2)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_7)) (@ _let_1 Z_2)))))) (forall ((X_14 Bool) (Y_6 Bool) (Z Bool)) (let ((_let_1 (@ tptp.semila10642723_sup_o X_14))) (=> (forall ((X_3 Bool) (Y_4 Bool) (Z_1 Bool)) (let ((_let_1 (@ tptp.semila854092349_inf_o X_3))) (= (@ _let_1 (@ (@ tptp.semila10642723_sup_o Y_4) Z_1)) (@ (@ tptp.semila10642723_sup_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila854092349_inf_o Y_6) Z)) (@ (@ tptp.semila854092349_inf_o (@ _let_1 Y_6)) (@ _let_1 Z)))))) (forall ((X_14 (-> tptp.pname Bool)) (Y_6 (-> tptp.pname Bool)) (Z (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1780557381name_o X_14))) (=> (forall ((X_3 (-> tptp.pname Bool)) (Y_4 (-> tptp.pname Bool)) (Z_1 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.semila1673364395name_o X_3))) (= (@ _let_1 (@ (@ tptp.semila1780557381name_o Y_4) Z_1)) (@ (@ tptp.semila1780557381name_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o Y_6) Z)) (@ (@ tptp.semila1673364395name_o (@ _let_1 Y_6)) (@ _let_1 Z)))))) (forall ((X_14 (-> tptp.hoare_1708887482_state Bool)) (Y_6 (-> tptp.hoare_1708887482_state Bool)) (Z (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila1122118281tate_o X_14))) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool)) (Y_4 (-> tptp.hoare_1708887482_state Bool)) (Z_1 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ tptp.semila129691299tate_o X_3))) (= (@ _let_1 (@ (@ tptp.semila1122118281tate_o Y_4) Z_1)) (@ (@ tptp.semila1122118281tate_o (@ _let_1 Y_4)) (@ _let_1 Z_1))))) (= (@ _let_1 (@ (@ tptp.semila129691299tate_o Y_6) Z)) (@ (@ tptp.semila129691299tate_o (@ _let_1 Y_6)) (@ _let_1 Z)))))) (forall ((A_42 (-> tptp.com Bool)) (B_15 tptp.com)) (let ((_let_1 (@ (@ tptp.partial_flat_lub_com B_15) A_42))) (let ((_let_2 (@ (@ tptp.ord_less_eq_com_o A_42) (@ (@ tptp.insert_com B_15) tptp.bot_bot_com_o)))) (and (=> _let_2 (= _let_1 B_15)) (=> (not _let_2) (= _let_1 (@ tptp.the_com_1 (lambda ((X_3 tptp.com)) (@ (@ tptp.member_com X_3) (@ (@ tptp.minus_minus_com_o A_42) (@ (@ tptp.insert_com B_15) tptp.bot_bot_com_o))))))))))) (forall ((A_42 (-> tptp.pname Bool)) (B_15 tptp.pname)) (let ((_let_1 (@ (@ tptp.partia752020666_pname B_15) A_42))) (let ((_let_2 (@ (@ tptp.ord_less_eq_pname_o A_42) (@ (@ tptp.insert_pname B_15) tptp.bot_bot_pname_o)))) (and (=> _let_2 (= _let_1 B_15)) (=> (not _let_2) (= _let_1 (@ tptp.the_pname (lambda ((X_3 tptp.pname)) (@ (@ tptp.member_pname X_3) (@ (@ tptp.minus_minus_pname_o A_42) (@ (@ tptp.insert_pname B_15) tptp.bot_bot_pname_o))))))))))) (forall ((A_42 (-> tptp.hoare_1708887482_state Bool)) (B_15 tptp.hoare_1708887482_state)) (let ((_let_1 (@ (@ tptp.partia1256728516_state B_15) A_42))) (let ((_let_2 (@ (@ tptp.ord_le777019615tate_o A_42) (@ (@ tptp.insert528405184_state B_15) tptp.bot_bo19817387tate_o)))) (and (=> _let_2 (= _let_1 B_15)) (=> (not _let_2) (= _let_1 (@ tptp.the_Ho851197897_state (lambda ((X_3 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.minus_2056855718tate_o A_42) (@ (@ tptp.insert528405184_state B_15) tptp.bot_bo19817387tate_o))))))))))) (@ tptp.finite567462577_com_o (lambda ((X_3 tptp.com) (A_39 (-> tptp.com Bool)) (__flatten_var_0 tptp.com)) (@ (@ (@ tptp.minus_minus_com_o A_39) (@ (@ tptp.insert_com X_3) tptp.bot_bot_com_o)) __flatten_var_0))) (@ tptp.finite1123817265name_o (lambda ((X_3 tptp.pname) (A_39 (-> tptp.pname Bool)) (__flatten_var_0 tptp.pname)) (@ (@ (@ tptp.minus_minus_pname_o A_39) (@ (@ tptp.insert_pname X_3) tptp.bot_bot_pname_o)) __flatten_var_0))) (@ tptp.finite662762081tate_o (lambda ((X_3 tptp.hoare_1708887482_state) (A_39 (-> tptp.hoare_1708887482_state Bool)) (__flatten_var_0 tptp.hoare_1708887482_state)) (@ (@ (@ tptp.minus_2056855718tate_o A_39) (@ (@ tptp.insert528405184_state X_3) tptp.bot_bo19817387tate_o)) __flatten_var_0))) (forall ((F_22 (-> tptp.pname tptp.hoare_1708887482_state)) (Y_5 tptp.hoare_1708887482_state) (X_13 tptp.pname) (A_41 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_22))) (let ((_let_2 (@ (@ tptp.image_1116629049_state (@ (@ (@ tptp.fun_up1986763201_state F_22) X_13) Y_5)) A_41))) (let ((_let_3 (@ (@ tptp.member_pname X_13) A_41))) (and (=> _let_3 (= _let_2 (@ (@ tptp.insert528405184_state Y_5) (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_41) (@ (@ tptp.insert_pname X_13) tptp.bot_bot_pname_o)))))) (=> (not _let_3) (= _let_2 (@ _let_1 A_41)))))))) (@ tptp.finite567462577_com_o tptp.insert_com) (@ tptp.finite1123817265name_o tptp.insert_pname) (@ tptp.finite662762081tate_o tptp.insert528405184_state) (@ tptp.finite2048025996em_o_o tptp.semila10642723_sup_o) (@ tptp.finite138924780name_o tptp.semila1780557381name_o) (@ tptp.finite2034616076tate_o tptp.semila1122118281tate_o) (forall ((F_21 (-> tptp.pname tptp.hoare_1708887482_state)) (A_40 (-> tptp.pname Bool)) (B_14 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_21))) (let ((_let_2 (@ tptp.inj_on1553129421_state F_21))) (= (@ _let_2 (@ (@ tptp.semila1780557381name_o A_40) B_14)) (and (@ _let_2 A_40) (@ _let_2 B_14) (= (@ (@ tptp.semila129691299tate_o (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_40) B_14))) (@ _let_1 (@ (@ tptp.minus_minus_pname_o B_14) A_40))) tptp.bot_bo19817387tate_o)))))) (forall ((F_20 (-> tptp.pname tptp.option_com)) (X_12 tptp.pname)) (= (= (@ tptp.dom_pname_com F_20) (@ (@ tptp.insert_pname X_12) tptp.bot_bot_pname_o)) (exists ((V tptp.com)) (= F_20 (@ (@ (@ tptp.fun_up879233478on_com (lambda ((X_3 tptp.pname)) tptp.none_com)) X_12) (@ tptp.some_com V)))))) (forall ((B_13 (-> tptp.com Bool)) (A_38 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_38) (= (@ (@ tptp.minus_minus_com_o B_13) A_38) (@ (@ (@ tptp.finite504235573_com_o (lambda ((X_3 tptp.com) (A_39 (-> tptp.com Bool)) (__flatten_var_0 tptp.com)) (@ (@ (@ tptp.minus_minus_com_o A_39) (@ (@ tptp.insert_com X_3) tptp.bot_bot_com_o)) __flatten_var_0))) B_13) A_38)))) (forall ((B_13 (-> tptp.pname Bool)) (A_38 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_38) (= (@ (@ tptp.minus_minus_pname_o B_13) A_38) (@ (@ (@ tptp.finite603803317name_o (lambda ((X_3 tptp.pname) (A_39 (-> tptp.pname Bool)) (__flatten_var_0 tptp.pname)) (@ (@ (@ tptp.minus_minus_pname_o A_39) (@ (@ tptp.insert_pname X_3) tptp.bot_bot_pname_o)) __flatten_var_0))) B_13) A_38)))) (forall ((B_13 (-> tptp.hoare_1708887482_state Bool)) (A_38 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_38) (= (@ (@ tptp.minus_2056855718tate_o B_13) A_38) (@ (@ (@ tptp.finite96880613tate_o (lambda ((X_3 tptp.hoare_1708887482_state) (A_39 (-> tptp.hoare_1708887482_state Bool)) (__flatten_var_0 tptp.hoare_1708887482_state)) (@ (@ (@ tptp.minus_2056855718tate_o A_39) (@ (@ tptp.insert528405184_state X_3) tptp.bot_bo19817387tate_o)) __flatten_var_0))) B_13) A_38)))) (forall ((B_13 (-> (-> tptp.pname Bool) Bool)) (A_38 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_38) (= (@ (@ tptp.minus_1480864103me_o_o B_13) A_38) (@ (@ (@ tptp.finite1849951719me_o_o (lambda ((X_3 (-> tptp.pname Bool)) (A_39 (-> (-> tptp.pname Bool) Bool)) (__flatten_var_0 (-> tptp.pname Bool))) (@ (@ (@ tptp.minus_1480864103me_o_o A_39) (@ (@ tptp.insert_pname_o X_3) tptp.bot_bot_pname_o_o)) __flatten_var_0))) B_13) A_38)))) (forall ((B_13 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_38 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_38) (= (@ (@ tptp.minus_548038231te_o_o B_13) A_38) (@ (@ (@ tptp.finite463603445te_o_o (lambda ((X_3 (-> tptp.hoare_1708887482_state Bool)) (A_39 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (__flatten_var_0 (-> tptp.hoare_1708887482_state Bool))) (@ (@ (@ tptp.minus_548038231te_o_o A_39) (@ (@ tptp.insert949073679tate_o X_3) tptp.bot_bo1678742418te_o_o)) __flatten_var_0))) B_13) A_38)))) (forall ((F_19 (-> tptp.pname tptp.hoare_1708887482_state)) (A_37 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_37) (= (@ (@ tptp.image_1116629049_state F_19) A_37) (@ (@ (@ (@ tptp.finite2139561282_pname tptp.semila1122118281tate_o) (lambda ((X_3 tptp.pname) (__flatten_var_0 tptp.hoare_1708887482_state)) (@ (@ (@ tptp.insert528405184_state (@ F_19 X_3)) tptp.bot_bo19817387tate_o) __flatten_var_0))) tptp.bot_bo19817387tate_o) A_37)))) (forall ((A_36 (-> tptp.pname Bool))) (@ (@ tptp.inj_on737724108_pname tptp.some_pname) A_36)) (forall ((A_36 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.inj_on945311362_state tptp.some_H1974565227_state) A_36)) (forall ((A_36 (-> tptp.com Bool))) (@ (@ tptp.inj_on11367768on_com tptp.some_com) A_36)) (forall ((A_35 tptp.com)) (not (= tptp.none_com (@ tptp.some_com A_35)))) (forall ((A_35 tptp.pname)) (not (= tptp.none_pname (@ tptp.some_pname A_35)))) (forall ((A_35 tptp.hoare_1708887482_state)) (not (= tptp.none_H1106584047_state (@ tptp.some_H1974565227_state A_35)))) (forall ((A_34 tptp.com)) (not (= (@ tptp.some_com A_34) tptp.none_com))) (forall ((A_34 tptp.pname)) (not (= (@ tptp.some_pname A_34) tptp.none_pname))) (forall ((A_34 tptp.hoare_1708887482_state)) (not (= (@ tptp.some_H1974565227_state A_34) tptp.none_H1106584047_state))) (forall ((X_11 tptp.option_com)) (= (forall ((Y_4 tptp.com)) (not (= X_11 (@ tptp.some_com Y_4)))) (= X_11 tptp.none_com))) (forall ((X_11 tptp.option_pname)) (= (forall ((Y_4 tptp.pname)) (not (= X_11 (@ tptp.some_pname Y_4)))) (= X_11 tptp.none_pname))) (forall ((X_11 tptp.option1624383643_state)) (= (forall ((Y_4 tptp.hoare_1708887482_state)) (not (= X_11 (@ tptp.some_H1974565227_state Y_4)))) (= X_11 tptp.none_H1106584047_state))) (forall ((X_10 tptp.option_com)) (= (not (= X_10 tptp.none_com)) (exists ((Y_4 tptp.com)) (= X_10 (@ tptp.some_com Y_4))))) (forall ((X_10 tptp.option_pname)) (= (not (= X_10 tptp.none_pname)) (exists ((Y_4 tptp.pname)) (= X_10 (@ tptp.some_pname Y_4))))) (forall ((X_10 tptp.option1624383643_state)) (= (not (= X_10 tptp.none_H1106584047_state)) (exists ((Y_4 tptp.hoare_1708887482_state)) (= X_10 (@ tptp.some_H1974565227_state Y_4))))) (forall ((M_2 (-> tptp.pname tptp.option_com))) (= (@ tptp.dom_pname_com M_2) (@ tptp.collect_pname (lambda ((A_6 tptp.pname)) (not (= (@ M_2 A_6) tptp.none_com)))))) (forall ((A_33 tptp.pname) (M_1 (-> tptp.pname tptp.option_com))) (= (@ (@ tptp.member_pname A_33) (@ tptp.dom_pname_com M_1)) (not (= (@ M_1 A_33) tptp.none_com)))) (forall ((F_18 (-> tptp.pname tptp.hoare_1708887482_state)) (A_32 (-> tptp.pname Bool))) (=> (@ tptp.finite1625599783_state (@ (@ tptp.image_1116629049_state F_18) A_32)) (=> (@ (@ tptp.inj_on1553129421_state F_18) A_32) (@ tptp.finite_finite_pname A_32)))) (forall ((F_17 (-> tptp.pname tptp.hoare_1708887482_state)) (A_31 (-> tptp.pname Bool)) (B_12 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_17))) (=> (@ (@ tptp.inj_on1553129421_state F_17) (@ (@ tptp.semila1780557381name_o A_31) B_12)) (= (= (@ _let_1 A_31) (@ _let_1 B_12)) (= A_31 B_12))))) (forall ((X_9 tptp.option_com)) (= (@ tptp.is_none_com X_9) (= X_9 tptp.none_com))) (@ tptp.is_none_com tptp.none_com) (forall ((X_8 tptp.pname) (Y_3 tptp.hoare_1708887482_state) (F_16 (-> tptp.pname tptp.hoare_1708887482_state)) (A_30 (-> tptp.pname Bool))) (=> (@ (@ tptp.inj_on1553129421_state F_16) A_30) (=> (not (@ (@ tptp.member451959335_state Y_3) (@ (@ tptp.image_1116629049_state F_16) A_30))) (@ (@ tptp.inj_on1553129421_state (@ (@ (@ tptp.fun_up1986763201_state F_16) X_8) Y_3)) A_30)))) (forall ((B_11 (-> tptp.pname Bool)) (A_29 (-> tptp.pname Bool)) (A_28 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_28) (=> (@ (@ tptp.member_pname_o A_29) A_28) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1780557381name_o A_29) B_11)) (@ (@ (@ tptp.finite472615016name_o tptp.semila1780557381name_o) B_11) A_28))))) (forall ((B_11 (-> tptp.hoare_1708887482_state Bool)) (A_29 (-> tptp.hoare_1708887482_state Bool)) (A_28 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_28) (=> (@ (@ tptp.member814030440tate_o A_29) A_28) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila1122118281tate_o A_29) B_11)) (@ (@ (@ tptp.finite822533768tate_o tptp.semila1122118281tate_o) B_11) A_28))))) (forall ((B_11 Bool) (A_29 Bool) (A_28 (-> Bool Bool))) (=> (@ tptp.finite_finite_o A_28) (=> (@ (@ tptp.member_o A_29) A_28) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila10642723_sup_o A_29) B_11)) (@ (@ (@ tptp.finite_fold_o_o tptp.semila10642723_sup_o) B_11) A_28))))) (forall ((B_10 (-> tptp.pname Bool)) (A_27 (-> tptp.pname Bool)) (A_26 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_26) (=> (@ (@ tptp.member_pname_o A_27) A_26) (@ (@ tptp.ord_less_eq_pname_o (@ (@ (@ tptp.finite472615016name_o tptp.semila1673364395name_o) B_10) A_26)) (@ (@ tptp.semila1673364395name_o A_27) B_10))))) (forall ((B_10 (-> tptp.hoare_1708887482_state Bool)) (A_27 (-> tptp.hoare_1708887482_state Bool)) (A_26 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_26) (=> (@ (@ tptp.member814030440tate_o A_27) A_26) (@ (@ tptp.ord_le777019615tate_o (@ (@ (@ tptp.finite822533768tate_o tptp.semila129691299tate_o) B_10) A_26)) (@ (@ tptp.semila129691299tate_o A_27) B_10))))) (forall ((B_10 Bool) (A_27 Bool) (A_26 (-> Bool Bool))) (=> (@ tptp.finite_finite_o A_26) (=> (@ (@ tptp.member_o A_27) A_26) (@ (@ tptp.ord_less_eq_o (@ (@ (@ tptp.finite_fold_o_o tptp.semila854092349_inf_o) B_10) A_26)) (@ (@ tptp.semila854092349_inf_o A_27) B_10))))) (forall ((B_9 (-> tptp.pname Bool)) (A_25 (-> tptp.pname Bool)) (A_24 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ (@ tptp.finite472615016name_o tptp.semila1780557381name_o) B_9))) (=> (@ tptp.finite297249702name_o A_24) (= (@ _let_1 (@ (@ tptp.insert_pname_o A_25) A_24)) (@ (@ tptp.semila1780557381name_o A_25) (@ _let_1 A_24)))))) (forall ((B_9 (-> tptp.hoare_1708887482_state Bool)) (A_25 (-> tptp.hoare_1708887482_state Bool)) (A_24 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ (@ tptp.finite822533768tate_o tptp.semila1122118281tate_o) B_9))) (=> (@ tptp.finite1329924456tate_o A_24) (= (@ _let_1 (@ (@ tptp.insert949073679tate_o A_25) A_24)) (@ (@ tptp.semila1122118281tate_o A_25) (@ _let_1 A_24)))))) (forall ((B_9 Bool) (A_25 Bool) (A_24 (-> Bool Bool))) (let ((_let_1 (@ (@ tptp.finite_fold_o_o tptp.semila10642723_sup_o) B_9))) (=> (@ tptp.finite_finite_o A_24) (= (@ _let_1 (@ (@ tptp.insert_o A_25) A_24)) (@ (@ tptp.semila10642723_sup_o A_25) (@ _let_1 A_24)))))) (forall ((B_8 (-> tptp.pname Bool)) (A_23 (-> tptp.pname Bool)) (A_22 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ (@ tptp.finite472615016name_o tptp.semila1673364395name_o) B_8))) (=> (@ tptp.finite297249702name_o A_22) (= (@ _let_1 (@ (@ tptp.insert_pname_o A_23) A_22)) (@ (@ tptp.semila1673364395name_o A_23) (@ _let_1 A_22)))))) (forall ((B_8 (-> tptp.hoare_1708887482_state Bool)) (A_23 (-> tptp.hoare_1708887482_state Bool)) (A_22 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ (@ tptp.finite822533768tate_o tptp.semila129691299tate_o) B_8))) (=> (@ tptp.finite1329924456tate_o A_22) (= (@ _let_1 (@ (@ tptp.insert949073679tate_o A_23) A_22)) (@ (@ tptp.semila129691299tate_o A_23) (@ _let_1 A_22)))))) (forall ((F_15 (-> tptp.pname tptp.option_com))) (= (= (@ tptp.dom_pname_com F_15) tptp.bot_bot_pname_o) (forall ((X_3 tptp.pname)) (= (@ F_15 X_3) tptp.none_com)))) (= (@ tptp.dom_pname_com (lambda ((X_3 tptp.pname)) tptp.none_com)) tptp.bot_bot_pname_o) (= (@ tptp.set_com tptp.none_com) tptp.bot_bot_com_o) (= (@ tptp.set_pname tptp.none_pname) tptp.bot_bot_pname_o) (= (@ tptp.set_Ho525251890_state tptp.none_H1106584047_state) tptp.bot_bo19817387tate_o) (forall ((Xo tptp.option_com)) (= (= (@ tptp.set_com Xo) tptp.bot_bot_com_o) (= Xo tptp.none_com))) (forall ((Xo tptp.option_pname)) (= (= (@ tptp.set_pname Xo) tptp.bot_bot_pname_o) (= Xo tptp.none_pname))) (forall ((Xo tptp.option1624383643_state)) (= (= (@ tptp.set_Ho525251890_state Xo) tptp.bot_bo19817387tate_o) (= Xo tptp.none_H1106584047_state))) (forall ((F_14 (-> (-> tptp.pname Bool) tptp.pname Bool)) (A_21 (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ (@ tptp.image_1085733413name_o F_14) A_21))) (=> (@ tptp.finite297249702name_o A_21) (=> (@ (@ tptp.ord_le1205211808me_o_o _let_1) A_21) (=> (@ (@ tptp.inj_on691924881name_o F_14) A_21) (= _let_1 A_21)))))) (forall ((F_14 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (A_21 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ (@ tptp.image_909543877tate_o F_14) A_21))) (=> (@ tptp.finite1329924456tate_o A_21) (=> (@ (@ tptp.ord_le1728773982te_o_o _let_1) A_21) (=> (@ (@ tptp.inj_on176908593tate_o F_14) A_21) (= _let_1 A_21)))))) (forall ((F_14 (-> tptp.pname tptp.pname)) (A_21 (-> tptp.pname Bool))) (let ((_let_1 (@ (@ tptp.image_pname_pname F_14) A_21))) (=> (@ tptp.finite_finite_pname A_21) (=> (@ (@ tptp.ord_less_eq_pname_o _let_1) A_21) (=> (@ (@ tptp.inj_on_pname_pname F_14) A_21) (= _let_1 A_21)))))) (forall ((F_14 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (A_21 (-> tptp.hoare_1708887482_state Bool))) (let ((_let_1 (@ (@ tptp.image_757158439_state F_14) A_21))) (=> (@ tptp.finite1625599783_state A_21) (=> (@ (@ tptp.ord_le777019615tate_o _let_1) A_21) (=> (@ (@ tptp.inj_on632008595_state F_14) A_21) (= _let_1 A_21)))))) (forall ((F_13 (-> (-> tptp.pname Bool) tptp.pname Bool)) (A_20 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_20) (=> (@ (@ tptp.ord_le1205211808me_o_o A_20) (@ (@ tptp.image_1085733413name_o F_13) A_20)) (@ (@ tptp.inj_on691924881name_o F_13) A_20)))) (forall ((F_13 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (A_20 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_20) (=> (@ (@ tptp.ord_le1728773982te_o_o A_20) (@ (@ tptp.image_909543877tate_o F_13) A_20)) (@ (@ tptp.inj_on176908593tate_o F_13) A_20)))) (forall ((F_13 (-> tptp.pname tptp.pname)) (A_20 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_20) (=> (@ (@ tptp.ord_less_eq_pname_o A_20) (@ (@ tptp.image_pname_pname F_13) A_20)) (@ (@ tptp.inj_on_pname_pname F_13) A_20)))) (forall ((F_13 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (A_20 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_20) (=> (@ (@ tptp.ord_le777019615tate_o A_20) (@ (@ tptp.image_757158439_state F_13) A_20)) (@ (@ tptp.inj_on632008595_state F_13) A_20)))) (forall ((B_7 (-> tptp.pname Bool)) (A_19 (-> tptp.pname Bool)) (F_12 (-> tptp.pname tptp.hoare_1708887482_state)) (C_3 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_12))) (=> (@ (@ tptp.inj_on1553129421_state F_12) C_3) (=> (@ (@ tptp.ord_less_eq_pname_o A_19) C_3) (=> (@ (@ tptp.ord_less_eq_pname_o B_7) C_3) (= (@ _let_1 (@ (@ tptp.semila1673364395name_o A_19) B_7)) (@ (@ tptp.semila129691299tate_o (@ _let_1 A_19)) (@ _let_1 B_7)))))))) (forall ((B_6 (-> tptp.pname Bool)) (A_18 (-> tptp.pname Bool)) (F_11 (-> tptp.pname tptp.hoare_1708887482_state)) (C_2 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.image_1116629049_state F_11))) (=> (@ (@ tptp.inj_on1553129421_state F_11) C_2) (=> (@ (@ tptp.ord_less_eq_pname_o A_18) C_2) (=> (@ (@ tptp.ord_less_eq_pname_o B_6) C_2) (= (@ _let_1 (@ (@ tptp.minus_minus_pname_o A_18) B_6)) (@ (@ tptp.minus_2056855718tate_o (@ _let_1 A_18)) (@ _let_1 B_6)))))))) (forall ((B_5 (-> tptp.com Bool)) (A_17 (-> tptp.com Bool))) (=> (@ tptp.finite_finite_com A_17) (= (@ (@ tptp.semila1562558655_com_o A_17) B_5) (@ (@ (@ tptp.finite504235573_com_o tptp.insert_com) B_5) A_17)))) (forall ((B_5 (-> tptp.pname Bool)) (A_17 (-> tptp.pname Bool))) (=> (@ tptp.finite_finite_pname A_17) (= (@ (@ tptp.semila1780557381name_o A_17) B_5) (@ (@ (@ tptp.finite603803317name_o tptp.insert_pname) B_5) A_17)))) (forall ((B_5 (-> tptp.hoare_1708887482_state Bool)) (A_17 (-> tptp.hoare_1708887482_state Bool))) (=> (@ tptp.finite1625599783_state A_17) (= (@ (@ tptp.semila1122118281tate_o A_17) B_5) (@ (@ (@ tptp.finite96880613tate_o tptp.insert528405184_state) B_5) A_17)))) (forall ((B_5 (-> (-> tptp.pname Bool) Bool)) (A_17 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_17) (= (@ (@ tptp.semila181081674me_o_o A_17) B_5) (@ (@ (@ tptp.finite1849951719me_o_o tptp.insert_pname_o) B_5) A_17)))) (forall ((B_5 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_17 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_17) (= (@ (@ tptp.semila1853742644te_o_o A_17) B_5) (@ (@ (@ tptp.finite463603445te_o_o tptp.insert949073679tate_o) B_5) A_17)))) (forall ((A_16 (-> tptp.pname Bool)) (F_10 (-> tptp.pname tptp.option_com)) (X_7 tptp.pname)) (let ((_let_1 (@ tptp.minus_minus_pname_o (@ tptp.dom_pname_com F_10)))) (=> (= (@ F_10 X_7) tptp.none_com) (= (@ _let_1 (@ (@ tptp.insert_pname X_7) A_16)) (@ _let_1 A_16))))) (forall ((X_6 Bool)) (= (@ (@ tptp.semila10642723_sup_o X_6) X_6) X_6)) (forall ((X_6 (-> tptp.pname Bool))) (= (@ (@ tptp.semila1780557381name_o X_6) X_6) X_6)) (forall ((X_6 (-> tptp.hoare_1708887482_state Bool))) (= (@ (@ tptp.semila1122118281tate_o X_6) X_6) X_6)) (forall ((X_5 tptp.com) (A_15 (-> tptp.com Bool)) (F_9 (-> tptp.com tptp.com tptp.com)) (F_8 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite860057415ne_com F_9) F_8) (=> (@ tptp.finite_finite_com A_15) (=> (not (@ (@ tptp.member_com X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert_com X_5) A_15)) (@ (@ (@ tptp.finite_fold_com_com F_9) X_5) A_15)))))) (forall ((X_5 tptp.pname) (A_15 (-> tptp.pname Bool)) (F_9 (-> tptp.pname tptp.pname tptp.pname)) (F_8 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite1282449217_pname F_9) F_8) (=> (@ tptp.finite_finite_pname A_15) (=> (not (@ (@ tptp.member_pname X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert_pname X_5) A_15)) (@ (@ (@ tptp.finite1657623752_pname F_9) X_5) A_15)))))) (forall ((X_5 tptp.hoare_1708887482_state) (A_15 (-> tptp.hoare_1708887482_state Bool)) (F_9 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_8 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1615457021_state F_9) F_8) (=> (@ tptp.finite1625599783_state A_15) (=> (not (@ (@ tptp.member451959335_state X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert528405184_state X_5) A_15)) (@ (@ (@ tptp.finite309095018_state F_9) X_5) A_15)))))) (forall ((X_5 (-> tptp.pname Bool)) (A_15 (-> (-> tptp.pname Bool) Bool)) (F_9 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_8 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite349908348name_o F_9) F_8) (=> (@ tptp.finite297249702name_o A_15) (=> (not (@ (@ tptp.member_pname_o X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert_pname_o X_5) A_15)) (@ (@ (@ tptp.finite472615016name_o F_9) X_5) A_15)))))) (forall ((X_5 (-> tptp.hoare_1708887482_state Bool)) (A_15 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_9 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_8 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite928843026tate_o F_9) F_8) (=> (@ tptp.finite1329924456tate_o A_15) (=> (not (@ (@ tptp.member814030440tate_o X_5) A_15)) (= (@ F_8 (@ (@ tptp.insert949073679tate_o X_5) A_15)) (@ (@ (@ tptp.finite822533768tate_o F_9) X_5) A_15)))))) (forall ((A_14 tptp.com) (A_13 (-> tptp.com Bool)) (F_7 (-> tptp.com tptp.com tptp.com)) (F_6 (-> (-> tptp.com Bool) tptp.com))) (=> (@ (@ tptp.finite666746948em_com F_7) F_6) (=> (@ tptp.finite_finite_com A_13) (= (@ F_6 (@ (@ tptp.insert_com A_14) A_13)) (@ (@ (@ tptp.finite_fold_com_com F_7) A_14) A_13))))) (forall ((A_14 tptp.pname) (A_13 (-> tptp.pname Bool)) (F_7 (-> tptp.pname tptp.pname tptp.pname)) (F_6 (-> (-> tptp.pname Bool) tptp.pname))) (=> (@ (@ tptp.finite89670078_pname F_7) F_6) (=> (@ tptp.finite_finite_pname A_13) (= (@ F_6 (@ (@ tptp.insert_pname A_14) A_13)) (@ (@ (@ tptp.finite1657623752_pname F_7) A_14) A_13))))) (forall ((A_14 tptp.hoare_1708887482_state) (A_13 (-> tptp.hoare_1708887482_state Bool)) (F_7 (-> tptp.hoare_1708887482_state tptp.hoare_1708887482_state tptp.hoare_1708887482_state)) (F_6 (-> (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state))) (=> (@ (@ tptp.finite1347568576_state F_7) F_6) (=> (@ tptp.finite1625599783_state A_13) (= (@ F_6 (@ (@ tptp.insert528405184_state A_14) A_13)) (@ (@ (@ tptp.finite309095018_state F_7) A_14) A_13))))) (forall ((A_14 (-> tptp.pname Bool)) (A_13 (-> (-> tptp.pname Bool) Bool)) (F_7 (-> (-> tptp.pname Bool) (-> tptp.pname Bool) tptp.pname Bool)) (F_6 (-> (-> (-> tptp.pname Bool) Bool) tptp.pname Bool))) (=> (@ (@ tptp.finite697516351name_o F_7) F_6) (=> (@ tptp.finite297249702name_o A_13) (= (@ F_6 (@ (@ tptp.insert_pname_o A_14) A_13)) (@ (@ (@ tptp.finite472615016name_o F_7) A_14) A_13))))) (forall ((A_14 (-> tptp.hoare_1708887482_state Bool)) (A_13 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (F_7 (-> (-> tptp.hoare_1708887482_state Bool) (-> tptp.hoare_1708887482_state Bool) tptp.hoare_1708887482_state Bool)) (F_6 (-> (-> (-> tptp.hoare_1708887482_state Bool) Bool) tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.finite621643279tate_o F_7) F_6) (=> (@ tptp.finite1329924456tate_o A_13) (= (@ F_6 (@ (@ tptp.insert949073679tate_o A_14) A_13)) (@ (@ (@ tptp.finite822533768tate_o F_7) A_14) A_13))))) (forall ((Pn_1 tptp.pname)) (=> (not (= (@ tptp.body Pn_1) tptp.none_com)) (@ tptp.wt (@ tptp.body_1 Pn_1)))) (forall ((F_5 (-> tptp.pname tptp.hoare_1708887482_state)) (A_12 tptp.pname) (A_11 (-> tptp.pname Bool))) (let ((_let_1 (@ tptp.insert_pname A_12))) (let ((_let_2 (@ tptp.inj_on1553129421_state F_5))) (= (@ _let_2 (@ _let_1 A_11)) (and (@ _let_2 A_11) (not (@ (@ tptp.member451959335_state (@ F_5 A_12)) (@ (@ tptp.image_1116629049_state F_5) (@ (@ tptp.minus_minus_pname_o A_11) (@ _let_1 tptp.bot_bot_pname_o)))))))))) (forall ((F_4 (-> tptp.pname tptp.option_com)) (X_4 tptp.pname) (Y_2 tptp.option_com)) (let ((_let_1 (@ tptp.dom_pname_com F_4))) (let ((_let_2 (@ tptp.insert_pname X_4))) (let ((_let_3 (@ tptp.dom_pname_com (@ (@ (@ tptp.fun_up879233478on_com F_4) X_4) Y_2)))) (let ((_let_4 (= Y_2 tptp.none_com))) (and (=> _let_4 (= _let_3 (@ (@ tptp.minus_minus_pname_o _let_1) (@ _let_2 tptp.bot_bot_pname_o)))) (=> (not _let_4) (= _let_3 (@ _let_2 _let_1))))))))) (forall ((C_1 (-> tptp.pname Bool)) (B_4 (-> tptp.pname Bool)) (A_10 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_10) (=> (forall ((X_3 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname_o X_3) A_10) (@ (@ tptp.ord_less_eq_pname_o B_4) X_3))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.semila1673364395name_o B_4) C_1)) (@ (@ (@ tptp.finite472615016name_o tptp.semila1673364395name_o) C_1) A_10))))) (forall ((C_1 (-> tptp.hoare_1708887482_state Bool)) (B_4 (-> tptp.hoare_1708887482_state Bool)) (A_10 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_10) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member814030440tate_o X_3) A_10) (@ (@ tptp.ord_le777019615tate_o B_4) X_3))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.semila129691299tate_o B_4) C_1)) (@ (@ (@ tptp.finite822533768tate_o tptp.semila129691299tate_o) C_1) A_10))))) (forall ((C_1 Bool) (B_4 Bool) (A_10 (-> Bool Bool))) (=> (@ tptp.finite_finite_o A_10) (=> (forall ((X_3 Bool)) (=> (@ (@ tptp.member_o X_3) A_10) (@ (@ tptp.ord_less_eq_o B_4) X_3))) (@ (@ tptp.ord_less_eq_o (@ (@ tptp.semila854092349_inf_o B_4) C_1)) (@ (@ (@ tptp.finite_fold_o_o tptp.semila854092349_inf_o) C_1) A_10))))) (forall ((C (-> tptp.pname Bool)) (B_3 (-> tptp.pname Bool)) (A_9 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_9) (=> (forall ((X_3 (-> tptp.pname Bool))) (=> (@ (@ tptp.member_pname_o X_3) A_9) (@ (@ tptp.ord_less_eq_pname_o X_3) B_3))) (@ (@ tptp.ord_less_eq_pname_o (@ (@ (@ tptp.finite472615016name_o tptp.semila1780557381name_o) C) A_9)) (@ (@ tptp.semila1780557381name_o B_3) C))))) (forall ((C (-> tptp.hoare_1708887482_state Bool)) (B_3 (-> tptp.hoare_1708887482_state Bool)) (A_9 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_9) (=> (forall ((X_3 (-> tptp.hoare_1708887482_state Bool))) (=> (@ (@ tptp.member814030440tate_o X_3) A_9) (@ (@ tptp.ord_le777019615tate_o X_3) B_3))) (@ (@ tptp.ord_le777019615tate_o (@ (@ (@ tptp.finite822533768tate_o tptp.semila1122118281tate_o) C) A_9)) (@ (@ tptp.semila1122118281tate_o B_3) C))))) (forall ((C Bool) (B_3 Bool) (A_9 (-> Bool Bool))) (=> (@ tptp.finite_finite_o A_9) (=> (forall ((X_3 Bool)) (=> (@ (@ tptp.member_o X_3) A_9) (@ (@ tptp.ord_less_eq_o X_3) B_3))) (@ (@ tptp.ord_less_eq_o (@ (@ (@ tptp.finite_fold_o_o tptp.semila10642723_sup_o) C) A_9)) (@ (@ tptp.semila10642723_sup_o B_3) C))))) (forall ((A_8 (-> tptp.pname Bool)) (A_7 (-> tptp.hoare_1708887482_state Bool))) (=> (not (= A_7 tptp.bot_bo19817387tate_o)) (= (exists ((F_3 (-> tptp.hoare_1708887482_state tptp.pname))) (and (@ (@ tptp.inj_on1945914667_pname F_3) A_7) (@ (@ tptp.ord_less_eq_pname_o (@ (@ tptp.image_1509414295_pname F_3) A_7)) A_8))) (exists ((G_1 (-> tptp.pname tptp.hoare_1708887482_state))) (= (@ (@ tptp.image_1116629049_state G_1) A_8) A_7))))) (forall ((A_8 (-> tptp.hoare_1708887482_state Bool)) (A_7 (-> tptp.pname Bool))) (=> (not (= A_7 tptp.bot_bot_pname_o)) (= (exists ((F_3 (-> tptp.pname tptp.hoare_1708887482_state))) (and (@ (@ tptp.inj_on1553129421_state F_3) A_7) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.image_1116629049_state F_3) A_7)) A_8))) (exists ((G_1 (-> tptp.hoare_1708887482_state tptp.pname))) (= (@ (@ tptp.image_1509414295_pname G_1) A_8) A_7))))) (forall ((Y_1 tptp.option_com)) (=> (not (= Y_1 tptp.none_com)) (not (forall ((A_6 tptp.com)) (not (= Y_1 (@ tptp.some_com A_6))))))) (forall ((Y_1 tptp.option_pname)) (=> (not (= Y_1 tptp.none_pname)) (not (forall ((A_6 tptp.pname)) (not (= Y_1 (@ tptp.some_pname A_6))))))) (forall ((Y_1 tptp.option1624383643_state)) (=> (not (= Y_1 tptp.none_H1106584047_state)) (not (forall ((A_6 tptp.hoare_1708887482_state)) (not (= Y_1 (@ tptp.some_H1974565227_state A_6))))))) (forall ((G (-> tptp.hoare_1708887482_state tptp.pname)) (B_2 (-> tptp.hoare_1708887482_state Bool)) (F_2 (-> tptp.pname tptp.hoare_1708887482_state)) (A_4 (-> tptp.pname Bool))) (exists ((A_5 (-> tptp.pname Bool))) (and (@ (@ tptp.ord_less_eq_pname_o A_5) A_4) (forall ((X_3 tptp.pname)) (let ((_let_1 (@ tptp.member_pname X_3))) (=> (@ _let_1 A_5) (not (@ _let_1 (@ (@ tptp.image_1509414295_pname G) (@ (@ tptp.minus_2056855718tate_o B_2) (@ (@ tptp.image_1116629049_state F_2) A_5)))))))) (exists ((H (-> tptp.pname tptp.hoare_1708887482_state))) (and (forall ((X_3 tptp.pname)) (=> (@ (@ tptp.member_pname X_3) A_5) (= (@ H X_3) (@ F_2 X_3)))) (forall ((X_3 tptp.pname)) (let ((_let_1 (@ H X_3))) (=> (@ (@ tptp.member_pname X_3) (@ (@ tptp.minus_minus_pname_o A_4) A_5)) (and (@ (@ tptp.member451959335_state _let_1) (@ (@ tptp.minus_2056855718tate_o B_2) (@ (@ tptp.image_1116629049_state F_2) A_5))) (= X_3 (@ G _let_1))))))))))) (forall ((G (-> tptp.pname tptp.hoare_1708887482_state)) (B_2 (-> tptp.pname Bool)) (F_2 (-> tptp.hoare_1708887482_state tptp.pname)) (A_4 (-> tptp.hoare_1708887482_state Bool))) (exists ((A_5 (-> tptp.hoare_1708887482_state Bool))) (and (@ (@ tptp.ord_le777019615tate_o A_5) A_4) (forall ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ tptp.member451959335_state X_3))) (=> (@ _let_1 A_5) (not (@ _let_1 (@ (@ tptp.image_1116629049_state G) (@ (@ tptp.minus_minus_pname_o B_2) (@ (@ tptp.image_1509414295_pname F_2) A_5)))))))) (exists ((H (-> tptp.hoare_1708887482_state tptp.pname))) (and (forall ((X_3 tptp.hoare_1708887482_state)) (=> (@ (@ tptp.member451959335_state X_3) A_5) (= (@ H X_3) (@ F_2 X_3)))) (forall ((X_3 tptp.hoare_1708887482_state)) (let ((_let_1 (@ H X_3))) (=> (@ (@ tptp.member451959335_state X_3) (@ (@ tptp.minus_2056855718tate_o A_4) A_5)) (and (@ (@ tptp.member_pname _let_1) (@ (@ tptp.minus_minus_pname_o B_2) (@ (@ tptp.image_1509414295_pname F_2) A_5))) (= X_3 (@ G _let_1))))))))))) (forall ((F_1 (-> tptp.pname tptp.hoare_1708887482_state)) (A_3 (-> tptp.hoare_1708887482_state Bool))) (@ (@ tptp.ord_le777019615tate_o (@ (@ tptp.image_1116629049_state F_1) (@ (@ tptp.vimage1943311875_state F_1) A_3))) A_3)) (forall ((M (-> tptp.pname tptp.option_com)) (A_2 (-> tptp.pname Bool))) (= (@ tptp.dom_pname_com (@ (@ tptp.restri1382200118me_com M) A_2)) (@ (@ tptp.semila1673364395name_o (@ tptp.dom_pname_com M)) A_2))) (forall ((B_1 (-> (-> tptp.pname Bool) Bool)) (A_1 (-> (-> tptp.pname Bool) Bool))) (=> (@ tptp.finite297249702name_o A_1) (=> (not (= A_1 tptp.bot_bot_pname_o_o)) (=> (@ tptp.finite297249702name_o B_1) (=> (not (= B_1 tptp.bot_bot_pname_o_o)) (=> (= (@ (@ tptp.semila2013987940me_o_o A_1) B_1) tptp.bot_bot_pname_o_o) (= (@ tptp.big_la1126801287name_o (@ (@ tptp.semila181081674me_o_o A_1) B_1)) (@ (@ tptp.semila1673364395name_o (@ tptp.big_la1126801287name_o A_1)) (@ tptp.big_la1126801287name_o B_1))))))))) (forall ((B_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A_1 (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (=> (@ tptp.finite1329924456tate_o A_1) (=> (not (= A_1 tptp.bot_bo1678742418te_o_o)) (=> (@ tptp.finite1329924456tate_o B_1) (=> (not (= B_1 tptp.bot_bo1678742418te_o_o)) (=> (= (@ (@ tptp.semila598060698te_o_o A_1) B_1) tptp.bot_bo1678742418te_o_o) (= (@ tptp.big_la781588935tate_o (@ (@ tptp.semila1853742644te_o_o A_1) B_1)) (@ (@ tptp.semila129691299tate_o (@ tptp.big_la781588935tate_o A_1)) (@ tptp.big_la781588935tate_o B_1))))))))) (forall ((B (-> (-> tptp.pname Bool) Bool)) (A (-> (-> tptp.pname Bool) Bool))) (let ((_let_1 (@ (@ tptp.semila2013987940me_o_o A) B))) (=> (@ tptp.finite297249702name_o A) (=> (@ tptp.finite297249702name_o B) (=> (not (= _let_1 tptp.bot_bot_pname_o_o)) (= (@ (@ tptp.semila1673364395name_o (@ tptp.big_la1126801287name_o (@ (@ tptp.semila181081674me_o_o A) B))) (@ tptp.big_la1126801287name_o _let_1)) (@ (@ tptp.semila1673364395name_o (@ tptp.big_la1126801287name_o A)) (@ tptp.big_la1126801287name_o B)))))))) (forall ((B (-> (-> tptp.hoare_1708887482_state Bool) Bool)) (A (-> (-> tptp.hoare_1708887482_state Bool) Bool))) (let ((_let_1 (@ (@ tptp.semila598060698te_o_o A) B))) (=> (@ tptp.finite1329924456tate_o A) (=> (@ tptp.finite1329924456tate_o B) (=> (not (= _let_1 tptp.bot_bo1678742418te_o_o)) (= (@ (@ tptp.semila129691299tate_o (@ tptp.big_la781588935tate_o (@ (@ tptp.semila1853742644te_o_o A) B))) (@ tptp.big_la781588935tate_o _let_1)) (@ (@ tptp.semila129691299tate_o (@ tptp.big_la781588935tate_o A)) (@ tptp.big_la781588935tate_o B)))))))) (forall ((X_2 tptp.com)) (@ (@ tptp.member_com X_2) tptp.top_top_com_o)) (forall ((X_2 tptp.pname)) (@ (@ tptp.member_pname X_2) tptp.top_top_pname_o)) (forall ((X_2 tptp.hoare_1708887482_state)) (@ (@ tptp.member451959335_state X_2) tptp.top_to832624271tate_o)) (forall ((F (-> tptp.pname tptp.hoare_1708887482_state)) (X_1 tptp.pname)) (@ (@ tptp.member451959335_state (@ F X_1)) (@ (@ tptp.image_1116629049_state F) tptp.top_top_pname_o))) (forall ((X tptp.com) (Y tptp.com)) (or (not (@ (@ tptp.fequal_com X) Y)) (= X Y))) (forall ((X tptp.com) (Y tptp.com)) (or (not (= X Y)) (@ (@ tptp.fequal_com X) Y))) (forall ((X tptp.pname) (Y tptp.pname)) (or (not (@ (@ tptp.fequal_pname X) Y)) (= X Y))) (forall ((X tptp.pname) (Y tptp.pname)) (or (not (= X Y)) (@ (@ tptp.fequal_pname X) Y))) (forall ((X tptp.state) (Y tptp.state)) (or (not (@ (@ tptp.fequal_state X) Y)) (= X Y))) (forall ((X tptp.state) (Y tptp.state)) (or (not (= X Y)) (@ (@ tptp.fequal_state X) Y))) (forall ((X (-> tptp.pname Bool)) (Y (-> tptp.pname Bool))) (or (not (@ (@ tptp.fequal_pname_o X) Y)) (= X Y))) (forall ((X (-> tptp.pname Bool)) (Y (-> tptp.pname Bool))) (or (not (= X Y)) (@ (@ tptp.fequal_pname_o X) Y))) (forall ((X tptp.option_com) (Y tptp.option_com)) (= (@ (@ (@ tptp.if_option_com true) X) Y) X)) (forall ((X tptp.option_com) (Y 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% 1.85/2.24 )
% 1.85/2.24 % SZS output end Proof for SWW474^3
% 1.85/2.24 % cvc5---1.0.5 exiting
% 1.85/2.24 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------