%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWW748_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n016.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 : Thu Sep 29 20:59:48 EDT 2022

% Result   : Satisfiable 6.89s 4.62s
% Output   : Model 7.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWW748_1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.32  % Computer : n016.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Sun Sep  4 21:41:24 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.12/0.33  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33  Usage: tptp [options] [-file:]file
% 0.12/0.33    -h, -?       prints this message.
% 0.12/0.33    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.33    -m, -model   generate model.
% 0.12/0.33    -p, -proof   generate proof.
% 0.12/0.33    -c, -core    generate unsat core of named formulas.
% 0.12/0.33    -st, -statistics display statistics.
% 0.12/0.33    -t:timeout   set timeout (in second).
% 0.12/0.33    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.33    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33    -<param>:<value> configuration parameter and value.
% 0.12/0.33    -o:<output-file> file to place output in.
% 6.89/4.62  % SZS status Satisfiable
% 6.89/4.62  % SZS output start Model
% 6.89/4.62  tff(p5_final_4_type, type, (
% 6.89/4.62     p5_final_4: $int)).
% 6.89/4.62  tff(p4_final_2_type, type, (
% 6.89/4.62     p4_final_2: $int)).
% 6.89/4.62  tff(p6_initial_2_type, type, (
% 6.89/4.62     p6_initial_2: $int)).
% 6.89/4.62  tff(an_Id_val_3_type, type, (
% 6.89/4.62     an_Id_val_3: an_Id)).
% 6.89/4.62  tff(id4_type, type, (
% 6.89/4.62     id4: an_Id)).
% 6.89/4.62  tff(p8_initial_4_type, type, (
% 6.89/4.62     p8_initial_4: $int)).
% 6.89/4.62  tff(an_Id_val_1_type, type, (
% 6.89/4.62     an_Id_val_1: an_Id)).
% 6.89/4.62  tff(id2_type, type, (
% 6.89/4.62     id2: an_Id)).
% 6.89/4.62  tff(an_Id_val_5_type, type, (
% 6.89/4.62     an_Id_val_5: an_Id)).
% 6.89/4.62  tff(id6_type, type, (
% 6.89/4.62     id6: an_Id)).
% 6.89/4.62  tff(p8_initial_5_type, type, (
% 6.89/4.62     p8_initial_5: $int)).
% 6.89/4.62  tff(p3_running_1_type, type, (
% 6.89/4.62     p3_running_1: $int)).
% 6.89/4.62  tff(a_Permission_val_4_type, type, (
% 6.89/4.62     a_Permission_val_4: a_Permission)).
% 6.89/4.62  tff(p5_type, type, (
% 6.89/4.62     p5: a_Permission)).
% 6.89/4.62  tff(a_Permission_val_0_type, type, (
% 6.89/4.62     a_Permission_val_0: a_Permission)).
% 6.89/4.62  tff(p1_type, type, (
% 6.89/4.62     p1: a_Permission)).
% 6.89/4.62  tff(p5_final_1_type, type, (
% 6.89/4.62     p5_final_1: $int)).
% 6.89/4.62  tff(p2_final_7_type, type, (
% 6.89/4.62     p2_final_7: $int)).
% 6.89/4.62  tff(p2_final_6_type, type, (
% 6.89/4.62     p2_final_6: $int)).
% 6.89/4.62  tff(an_Action_val_7_type, type, (
% 6.89/4.62     an_Action_val_7: an_Action)).
% 6.89/4.62  tff(t8_invokei_type, type, (
% 6.89/4.62     t8_invokei: an_Action)).
% 6.89/4.62  tff(p4_final_3_type, type, (
% 6.89/4.62     p4_final_3: $int)).
% 6.89/4.62  tff(an_Action_val_6_type, type, (
% 6.89/4.62     an_Action_val_6: an_Action)).
% 6.89/4.62  tff(t7_invokeo_type, type, (
% 6.89/4.62     t7_invokeo: an_Action)).
% 6.89/4.62  tff(p4_final_6_type, type, (
% 6.89/4.62     p4_final_6: $int)).
% 6.89/4.62  tff(p4_final_4_type, type, (
% 6.89/4.62     p4_final_4: $int)).
% 6.89/4.62  tff(a_Permission_val_2_type, type, (
% 6.89/4.62     a_Permission_val_2: a_Permission)).
% 6.89/4.62  tff(p3_type, type, (
% 6.89/4.62     p3: a_Permission)).
% 6.89/4.62  tff(an_Action_val_1_type, type, (
% 6.89/4.62     an_Action_val_1: an_Action)).
% 6.89/4.62  tff(t2_invoke_type, type, (
% 6.89/4.62     t2_invoke: an_Action)).
% 6.89/4.62  tff(p7_final_4_type, type, (
% 6.89/4.62     p7_final_4: $int)).
% 6.89/4.62  tff(p7_final_1_type, type, (
% 6.89/4.62     p7_final_1: $int)).
% 6.89/4.62  tff(p3_running_3_type, type, (
% 6.89/4.62     p3_running_3: $int)).
% 6.89/4.62  tff(p2_final_4_type, type, (
% 6.89/4.62     p2_final_4: $int)).
% 6.89/4.62  tff(an_Action_val_8_type, type, (
% 6.89/4.62     an_Action_val_8: an_Action)).
% 6.89/4.62  tff(t9_invoke_type, type, (
% 6.89/4.62     t9_invoke: an_Action)).
% 6.89/4.62  tff(an_Id_val_0_type, type, (
% 6.89/4.62     an_Id_val_0: an_Id)).
% 6.89/4.62  tff(id1_type, type, (
% 6.89/4.62     id1: an_Id)).
% 6.89/4.62  tff(p2_final_5_type, type, (
% 6.89/4.62     p2_final_5: $int)).
% 6.89/4.62  tff(p5_final_6_type, type, (
% 6.89/4.62     p5_final_6: $int)).
% 6.89/4.62  tff(p4_final_7_type, type, (
% 6.89/4.62     p4_final_7: $int)).
% 6.89/4.62  tff(p5_final_7_type, type, (
% 6.89/4.62     p5_final_7: $int)).
% 6.89/4.62  tff(p6_initial_1_type, type, (
% 6.89/4.62     p6_initial_1: $int)).
% 6.89/4.62  tff(p7_final_2_type, type, (
% 6.89/4.62     p7_final_2: $int)).
% 6.89/4.62  tff(p8_initial_2_type, type, (
% 6.89/4.62     p8_initial_2: $int)).
% 6.89/4.62  tff(in_creator_ctrpay_2_type, type, (
% 6.89/4.62     in_creator_ctrpay_2: $int)).
% 6.89/4.62  tff(p3_running_5_type, type, (
% 6.89/4.62     p3_running_5: $int)).
% 6.89/4.62  tff(p8_initial_1_type, type, (
% 6.89/4.62     p8_initial_1: $int)).
% 6.89/4.62  tff(in_creator_ctrpay_4_type, type, (
% 6.89/4.62     in_creator_ctrpay_4: $int)).
% 6.89/4.62  tff(a_Permission_val_1_type, type, (
% 6.89/4.62     a_Permission_val_1: a_Permission)).
% 6.89/4.62  tff(p2_type, type, (
% 6.89/4.62     p2: a_Permission)).
% 6.89/4.62  tff(a_Role_val_3_type, type, (
% 6.89/4.62     a_Role_val_3: a_Role)).
% 6.89/4.62  tff(poadmin_type, type, (
% 6.89/4.62     poadmin: a_Role)).
% 6.89/4.62  tff(p5_final_3_type, type, (
% 6.89/4.62     p5_final_3: $int)).
% 6.89/4.62  tff(p5_final_5_type, type, (
% 6.89/4.62     p5_final_5: $int)).
% 6.89/4.62  tff(an_Action_val_0_type, type, (
% 6.89/4.62     an_Action_val_0: an_Action)).
% 6.89/4.62  tff(t1_receive_type, type, (
% 6.89/4.62     t1_receive: an_Action)).
% 6.89/4.62  tff(p3_running_6_type, type, (
% 6.89/4.62     p3_running_6: $int)).
% 6.89/4.62  tff(p5_final_2_type, type, (
% 6.89/4.62     p5_final_2: $int)).
% 6.89/4.62  tff(a_Role_val_2_type, type, (
% 6.89/4.62     a_Role_val_2: a_Role)).
% 6.89/4.62  tff(finclerk_type, type, (
% 6.89/4.62     finclerk: a_Role)).
% 6.89/4.62  tff(a_Permission_val_5_type, type, (
% 6.89/4.62     a_Permission_val_5: a_Permission)).
% 6.89/4.62  tff(p6_type, type, (
% 6.89/4.62     p6: a_Permission)).
% 6.89/4.62  tff(in_creator_ctrpay_6_type, type, (
% 6.89/4.62     in_creator_ctrpay_6: $int)).
% 6.89/4.62  tff(a_Permission_val_3_type, type, (
% 6.89/4.62     a_Permission_val_3: a_Permission)).
% 6.89/4.62  tff(p4_type, type, (
% 6.89/4.62     p4: a_Permission)).
% 6.89/4.62  tff(p1_final_2_type, type, (
% 6.89/4.62     p1_final_2: $int)).
% 6.89/4.62  tff(p2_final_2_type, type, (
% 6.89/4.62     p2_final_2: $int)).
% 6.89/4.62  tff(a_Role_val_4_type, type, (
% 6.89/4.62     a_Role_val_4: a_Role)).
% 6.89/4.62  tff(poclerk_type, type, (
% 6.89/4.62     poclerk: a_Role)).
% 6.89/4.62  tff(p1_final_1_type, type, (
% 6.89/4.62     p1_final_1: $int)).
% 6.89/4.62  tff(in_creator_ctrpay_1_type, type, (
% 6.89/4.62     in_creator_ctrpay_1: $int)).
% 6.89/4.62  tff(an_Action_val_3_type, type, (
% 6.89/4.62     an_Action_val_3: an_Action)).
% 6.89/4.62  tff(t4_join_type, type, (
% 6.89/4.62     t4_join: an_Action)).
% 6.89/4.62  tff(p3_running_2_type, type, (
% 6.89/4.62     p3_running_2: $int)).
% 6.89/4.62  tff(p6_initial_3_type, type, (
% 6.89/4.62     p6_initial_3: $int)).
% 6.89/4.62  tff(p7_final_3_type, type, (
% 6.89/4.62     p7_final_3: $int)).
% 6.89/4.62  tff(in_creator_ctrpay_3_type, type, (
% 6.89/4.62     in_creator_ctrpay_3: $int)).
% 6.89/4.62  tff(an_Action_val_4_type, type, (
% 6.89/4.62     an_Action_val_4: an_Action)).
% 6.89/4.62  tff(t5_invoke_type, type, (
% 6.89/4.62     t5_invoke: an_Action)).
% 6.89/4.62  tff(p10_final_1_type, type, (
% 6.89/4.62     p10_final_1: $int)).
% 6.89/4.62  tff(p3_running_4_type, type, (
% 6.89/4.62     p3_running_4: $int)).
% 6.89/4.62  tff(in_creator_ctrpay_5_type, type, (
% 6.89/4.62     in_creator_ctrpay_5: $int)).
% 6.89/4.62  tff(p2_final_3_type, type, (
% 6.89/4.62     p2_final_3: $int)).
% 6.89/4.62  tff(a_Role_val_1_type, type, (
% 6.89/4.62     a_Role_val_1: a_Role)).
% 6.89/4.62  tff(finadmin_type, type, (
% 6.89/4.62     finadmin: a_Role)).
% 6.89/4.62  tff(an_Id_val_6_type, type, (
% 6.89/4.62     an_Id_val_6: an_Id)).
% 6.89/4.62  tff(id7_type, type, (
% 6.89/4.62     id7: an_Id)).
% 6.89/4.62  tff(p4_final_1_type, type, (
% 6.89/4.62     p4_final_1: $int)).
% 6.89/4.62  tff(an_Id_val_2_type, type, (
% 6.89/4.62     an_Id_val_2: an_Id)).
% 6.89/4.62  tff(id3_type, type, (
% 6.89/4.62     id3: an_Id)).
% 6.89/4.62  tff(an_Action_val_2_type, type, (
% 6.89/4.62     an_Action_val_2: an_Action)).
% 6.89/4.62  tff(t3_split_type, type, (
% 6.89/4.62     t3_split: an_Action)).
% 6.89/4.62  tff(an_Id_val_4_type, type, (
% 6.89/4.62     an_Id_val_4: an_Id)).
% 6.89/4.62  tff(id5_type, type, (
% 6.89/4.62     id5: an_Id)).
% 6.89/4.62  tff(p2_final_1_type, type, (
% 6.89/4.62     p2_final_1: $int)).
% 6.89/4.62  tff(an_Action_val_5_type, type, (
% 6.89/4.62     an_Action_val_5: an_Action)).
% 6.89/4.62  tff(t6_invoke_type, type, (
% 6.89/4.62     t6_invoke: an_Action)).
% 6.89/4.62  tff(p8_initial_3_type, type, (
% 6.89/4.62     p8_initial_3: $int)).
% 6.89/4.62  tff(p4_final_5_type, type, (
% 6.89/4.62     p4_final_5: $int)).
% 6.89/4.62  tff(a_Role_val_0_type, type, (
% 6.89/4.62     a_Role_val_0: a_Role)).
% 6.89/4.62  tff(manager_type, type, (
% 6.89/4.62     manager: a_Role)).
% 6.89/4.62  tff(a_Role_val_5_type, type, (
% 6.89/4.62     a_Role_val_5: a_Role)).
% 6.89/4.62  tff(client_type, type, (
% 6.89/4.62     client: a_Role)).
% 6.89/4.62  tff(p2_final_8_type, type, (
% 6.89/4.62     p2_final_8: $int)).
% 6.89/4.62  tff(out_signergrn_ctrsigngrn_1_type, type, (
% 6.89/4.62     out_signergrn_ctrsigngrn_1: $int)).
% 6.89/4.62  tff(out_signergrn_signgrn_1_type, type, (
% 6.89/4.62     out_signergrn_signgrn_1: $int)).
% 6.89/4.62  tff(out_approverpo_apprpo_1_type, type, (
% 6.89/4.62     out_approverpo_apprpo_1: $int)).
% 6.89/4.62  tff(out_approverpopayment_apprpay_1_type, type, (
% 6.89/4.62     out_approverpopayment_apprpay_1: $int)).
% 6.89/4.62  tff(out_creator_ctrpay_1_type, type, (
% 6.89/4.62     out_creator_ctrpay_1: $int)).
% 6.89/4.62  tff(in_customer_crtpo_1_type, type, (
% 6.89/4.62     in_customer_crtpo_1: $int)).
% 6.89/4.62  tff(p11_final_1_type, type, (
% 6.89/4.62     p11_final_1: $int)).
% 6.89/4.62  tff(p9_initial_1_type, type, (
% 6.89/4.62     p9_initial_1: $int)).
% 6.89/4.62  tff(out_signergrn_ctrsigngrn_2_type, type, (
% 6.89/4.62     out_signergrn_ctrsigngrn_2: $int)).
% 6.89/4.62  tff(out_signergrn_signgrn_2_type, type, (
% 6.89/4.62     out_signergrn_signgrn_2: $int)).
% 6.89/4.62  tff(out_approverpo_apprpo_2_type, type, (
% 6.89/4.62     out_approverpo_apprpo_2: $int)).
% 6.89/4.62  tff(out_approverpopayment_apprpay_2_type, type, (
% 6.89/4.62     out_approverpopayment_apprpay_2: $int)).
% 6.89/4.62  tff(out_creator_ctrpay_2_type, type, (
% 6.89/4.62     out_creator_ctrpay_2: $int)).
% 6.89/4.62  tff(in_customer_crtpo_2_type, type, (
% 6.89/4.62     in_customer_crtpo_2: $int)).
% 6.89/4.62  tff(p11_final_2_type, type, (
% 6.89/4.62     p11_final_2: $int)).
% 6.89/4.62  tff(p10_final_2_type, type, (
% 6.89/4.62     p10_final_2: $int)).
% 6.89/4.62  tff(p9_initial_2_type, type, (
% 6.89/4.62     p9_initial_2: $int)).
% 6.89/4.62  tff(out_signergrn_ctrsigngrn_3_type, type, (
% 6.89/4.62     out_signergrn_ctrsigngrn_3: $int)).
% 6.89/4.62  tff(out_signergrn_signgrn_3_type, type, (
% 6.89/4.62     out_signergrn_signgrn_3: $int)).
% 6.89/4.62  tff(out_approverpo_apprpo_3_type, type, (
% 6.89/4.62     out_approverpo_apprpo_3: $int)).
% 6.89/4.62  tff(out_approverpopayment_apprpay_3_type, type, (
% 6.89/4.62     out_approverpopayment_apprpay_3: $int)).
% 6.89/4.62  tff(out_creator_ctrpay_3_type, type, (
% 6.89/4.62     out_creator_ctrpay_3: $int)).
% 6.89/4.62  tff(in_customer_crtpo_3_type, type, (
% 6.89/4.62     in_customer_crtpo_3: $int)).
% 6.89/4.62  tff(p11_final_3_type, type, (
% 6.89/4.62     p11_final_3: $int)).
% 6.89/4.62  tff(p10_final_3_type, type, (
% 6.89/4.62     p10_final_3: $int)).
% 6.89/4.62  tff(p9_initial_3_type, type, (
% 6.89/4.62     p9_initial_3: $int)).
% 6.89/4.62  tff(p1_final_3_type, type, (
% 6.89/4.62     p1_final_3: $int)).
% 6.89/4.62  tff(out_signergrn_ctrsigngrn_4_type, type, (
% 6.89/4.62     out_signergrn_ctrsigngrn_4: $int)).
% 6.89/4.62  tff(out_signergrn_signgrn_4_type, type, (
% 6.89/4.62     out_signergrn_signgrn_4: $int)).
% 6.89/4.62  tff(out_approverpo_apprpo_4_type, type, (
% 6.89/4.62     out_approverpo_apprpo_4: $int)).
% 6.89/4.62  tff(out_approverpopayment_apprpay_4_type, type, (
% 6.89/4.62     out_approverpopayment_apprpay_4: $int)).
% 6.89/4.62  tff(out_creator_ctrpay_4_type, type, (
% 6.89/4.62     out_creator_ctrpay_4: $int)).
% 6.89/4.62  tff(in_customer_crtpo_4_type, type, (
% 6.89/4.62     in_customer_crtpo_4: $int)).
% 6.89/4.62  tff(p11_final_4_type, type, (
% 6.89/4.62     p11_final_4: $int)).
% 6.89/4.62  tff(p10_final_4_type, type, (
% 6.89/4.62     p10_final_4: $int)).
% 6.89/4.62  tff(p9_initial_4_type, type, (
% 6.89/4.62     p9_initial_4: $int)).
% 6.89/4.62  tff(p6_initial_4_type, type, (
% 6.89/4.62     p6_initial_4: $int)).
% 6.89/4.62  tff(p1_final_4_type, type, (
% 6.89/4.62     p1_final_4: $int)).
% 6.89/4.62  tff(out_signergrn_ctrsigngrn_5_type, type, (
% 6.89/4.62     out_signergrn_ctrsigngrn_5: $int)).
% 6.89/4.62  tff(out_signergrn_signgrn_5_type, type, (
% 6.89/4.62     out_signergrn_signgrn_5: $int)).
% 6.89/4.62  tff(out_approverpo_apprpo_5_type, type, (
% 6.89/4.62     out_approverpo_apprpo_5: $int)).
% 6.89/4.62  tff(out_approverpopayment_apprpay_5_type, type, (
% 6.89/4.62     out_approverpopayment_apprpay_5: $int)).
% 6.89/4.62  tff(out_creator_ctrpay_5_type, type, (
% 6.89/4.62     out_creator_ctrpay_5: $int)).
% 6.89/4.62  tff(in_customer_crtpo_5_type, type, (
% 6.89/4.62     in_customer_crtpo_5: $int)).
% 6.89/4.62  tff(p11_final_5_type, type, (
% 6.89/4.62     p11_final_5: $int)).
% 6.89/4.62  tff(p10_final_5_type, type, (
% 6.89/4.62     p10_final_5: $int)).
% 6.89/4.62  tff(p9_initial_5_type, type, (
% 6.89/4.62     p9_initial_5: $int)).
% 6.89/4.62  tff(p7_final_5_type, type, (
% 6.89/4.62     p7_final_5: $int)).
% 6.89/4.62  tff(p6_initial_5_type, type, (
% 6.89/4.62     p6_initial_5: $int)).
% 6.89/4.62  tff(p1_final_5_type, type, (
% 6.89/4.62     p1_final_5: $int)).
% 6.89/4.62  tff(out_signergrn_ctrsigngrn_6_type, type, (
% 6.89/4.62     out_signergrn_ctrsigngrn_6: $int)).
% 6.89/4.62  tff(out_signergrn_signgrn_6_type, type, (
% 6.89/4.62     out_signergrn_signgrn_6: $int)).
% 6.89/4.62  tff(out_approverpo_apprpo_6_type, type, (
% 6.89/4.62     out_approverpo_apprpo_6: $int)).
% 6.89/4.62  tff(out_approverpopayment_apprpay_6_type, type, (
% 6.89/4.62     out_approverpopayment_apprpay_6: $int)).
% 6.89/4.62  tff(out_creator_ctrpay_6_type, type, (
% 6.89/4.62     out_creator_ctrpay_6: $int)).
% 6.89/4.62  tff(in_customer_crtpo_6_type, type, (
% 6.89/4.62     in_customer_crtpo_6: $int)).
% 6.89/4.62  tff(p11_final_6_type, type, (
% 6.89/4.62     p11_final_6: $int)).
% 6.89/4.62  tff(p10_final_6_type, type, (
% 6.89/4.62     p10_final_6: $int)).
% 6.89/4.62  tff(p9_initial_6_type, type, (
% 6.89/4.62     p9_initial_6: $int)).
% 6.89/4.62  tff(p8_initial_6_type, type, (
% 6.89/4.62     p8_initial_6: $int)).
% 6.89/4.62  tff(p7_final_6_type, type, (
% 6.89/4.62     p7_final_6: $int)).
% 6.89/4.62  tff(p6_initial_6_type, type, (
% 6.89/4.62     p6_initial_6: $int)).
% 6.89/4.62  tff(p1_final_6_type, type, (
% 6.89/4.62     p1_final_6: $int)).
% 6.89/4.62  tff(out_signergrn_ctrsigngrn_7_type, type, (
% 7.02/4.62     out_signergrn_ctrsigngrn_7: $int)).
% 7.02/4.62  tff(out_signergrn_signgrn_7_type, type, (
% 7.02/4.62     out_signergrn_signgrn_7: $int)).
% 7.02/4.62  tff(out_approverpo_apprpo_7_type, type, (
% 7.02/4.62     out_approverpo_apprpo_7: $int)).
% 7.02/4.62  tff(out_approverpopayment_apprpay_7_type, type, (
% 7.02/4.62     out_approverpopayment_apprpay_7: $int)).
% 7.02/4.62  tff(out_creator_ctrpay_7_type, type, (
% 7.02/4.62     out_creator_ctrpay_7: $int)).
% 7.02/4.62  tff(in_creator_ctrpay_7_type, type, (
% 7.02/4.62     in_creator_ctrpay_7: $int)).
% 7.02/4.62  tff(in_customer_crtpo_7_type, type, (
% 7.02/4.62     in_customer_crtpo_7: $int)).
% 7.02/4.62  tff(p11_final_7_type, type, (
% 7.02/4.62     p11_final_7: $int)).
% 7.02/4.62  tff(p10_final_7_type, type, (
% 7.02/4.62     p10_final_7: $int)).
% 7.02/4.62  tff(p9_initial_7_type, type, (
% 7.02/4.62     p9_initial_7: $int)).
% 7.02/4.62  tff(p8_initial_7_type, type, (
% 7.02/4.62     p8_initial_7: $int)).
% 7.02/4.62  tff(p7_final_7_type, type, (
% 7.02/4.62     p7_final_7: $int)).
% 7.02/4.62  tff(p6_initial_7_type, type, (
% 7.02/4.62     p6_initial_7: $int)).
% 7.02/4.62  tff(p3_running_7_type, type, (
% 7.02/4.62     p3_running_7: $int)).
% 7.02/4.62  tff(p1_final_7_type, type, (
% 7.02/4.62     p1_final_7: $int)).
% 7.02/4.62  tff(out_signergrn_ctrsigngrn_8_type, type, (
% 7.02/4.62     out_signergrn_ctrsigngrn_8: $int)).
% 7.02/4.62  tff(out_signergrn_signgrn_8_type, type, (
% 7.02/4.62     out_signergrn_signgrn_8: $int)).
% 7.02/4.62  tff(out_approverpo_apprpo_8_type, type, (
% 7.02/4.62     out_approverpo_apprpo_8: $int)).
% 7.02/4.62  tff(out_approverpopayment_apprpay_8_type, type, (
% 7.02/4.62     out_approverpopayment_apprpay_8: $int)).
% 7.02/4.62  tff(out_creator_ctrpay_8_type, type, (
% 7.02/4.62     out_creator_ctrpay_8: $int)).
% 7.02/4.62  tff(in_creator_ctrpay_8_type, type, (
% 7.02/4.62     in_creator_ctrpay_8: $int)).
% 7.02/4.62  tff(in_customer_crtpo_8_type, type, (
% 7.02/4.62     in_customer_crtpo_8: $int)).
% 7.02/4.62  tff(p11_final_8_type, type, (
% 7.02/4.62     p11_final_8: $int)).
% 7.02/4.62  tff(p10_final_8_type, type, (
% 7.02/4.62     p10_final_8: $int)).
% 7.02/4.62  tff(p9_initial_8_type, type, (
% 7.02/4.62     p9_initial_8: $int)).
% 7.02/4.62  tff(p8_initial_8_type, type, (
% 7.02/4.62     p8_initial_8: $int)).
% 7.02/4.62  tff(p7_final_8_type, type, (
% 7.02/4.62     p7_final_8: $int)).
% 7.02/4.62  tff(p6_initial_8_type, type, (
% 7.02/4.62     p6_initial_8: $int)).
% 7.02/4.62  tff(p5_final_8_type, type, (
% 7.02/4.62     p5_final_8: $int)).
% 7.02/4.62  tff(p4_final_8_type, type, (
% 7.02/4.62     p4_final_8: $int)).
% 7.02/4.62  tff(p3_running_8_type, type, (
% 7.02/4.62     p3_running_8: $int)).
% 7.02/4.62  tff(p1_final_8_type, type, (
% 7.02/4.62     p1_final_8: $int)).
% 7.02/4.62  tff(out_signergrn_ctrsigngrn_9_type, type, (
% 7.02/4.63     out_signergrn_ctrsigngrn_9: $int)).
% 7.02/4.63  tff(out_signergrn_signgrn_9_type, type, (
% 7.02/4.63     out_signergrn_signgrn_9: $int)).
% 7.02/4.63  tff(out_approverpo_apprpo_9_type, type, (
% 7.02/4.63     out_approverpo_apprpo_9: $int)).
% 7.02/4.63  tff(out_approverpopayment_apprpay_9_type, type, (
% 7.02/4.63     out_approverpopayment_apprpay_9: $int)).
% 7.02/4.63  tff(out_creator_ctrpay_9_type, type, (
% 7.02/4.63     out_creator_ctrpay_9: $int)).
% 7.02/4.63  tff(in_creator_ctrpay_9_type, type, (
% 7.02/4.63     in_creator_ctrpay_9: $int)).
% 7.02/4.63  tff(in_customer_crtpo_9_type, type, (
% 7.02/4.63     in_customer_crtpo_9: $int)).
% 7.02/4.63  tff(p11_final_9_type, type, (
% 7.02/4.63     p11_final_9: $int)).
% 7.02/4.63  tff(p10_final_9_type, type, (
% 7.02/4.63     p10_final_9: $int)).
% 7.02/4.63  tff(p9_initial_9_type, type, (
% 7.02/4.63     p9_initial_9: $int)).
% 7.02/4.63  tff(p8_initial_9_type, type, (
% 7.02/4.63     p8_initial_9: $int)).
% 7.02/4.63  tff(p7_final_9_type, type, (
% 7.02/4.63     p7_final_9: $int)).
% 7.02/4.63  tff(p6_initial_9_type, type, (
% 7.02/4.63     p6_initial_9: $int)).
% 7.02/4.63  tff(p5_final_9_type, type, (
% 7.02/4.63     p5_final_9: $int)).
% 7.02/4.63  tff(p4_final_9_type, type, (
% 7.02/4.63     p4_final_9: $int)).
% 7.02/4.63  tff(p3_running_9_type, type, (
% 7.02/4.63     p3_running_9: $int)).
% 7.02/4.63  tff(p2_final_9_type, type, (
% 7.02/4.63     p2_final_9: $int)).
% 7.02/4.63  tff(p1_final_9_type, type, (
% 7.02/4.63     p1_final_9: $int)).
% 7.02/4.63  tff(out_signergrn_signgrn_0_type, type, (
% 7.02/4.63     out_signergrn_signgrn_0: $int)).
% 7.02/4.63  tff(out_signergrn_ctrsigngrn_0_type, type, (
% 7.02/4.63     out_signergrn_ctrsigngrn_0: $int)).
% 7.02/4.63  tff(out_creator_ctrpay_0_type, type, (
% 7.02/4.63     out_creator_ctrpay_0: $int)).
% 7.02/4.63  tff(out_approverpopayment_apprpay_0_type, type, (
% 7.02/4.63     out_approverpopayment_apprpay_0: $int)).
% 7.02/4.63  tff(out_approverpo_apprpo_0_type, type, (
% 7.02/4.63     out_approverpo_apprpo_0: $int)).
% 7.02/4.63  tff(in_creator_ctrpay_0_type, type, (
% 7.02/4.63     in_creator_ctrpay_0: $int)).
% 7.02/4.63  tff(in_customer_crtpo_0_type, type, (
% 7.02/4.63     in_customer_crtpo_0: $int)).
% 7.02/4.63  tff(p11_final_0_type, type, (
% 7.02/4.63     p11_final_0: $int)).
% 7.02/4.63  tff(p10_final_0_type, type, (
% 7.02/4.63     p10_final_0: $int)).
% 7.02/4.63  tff(p9_initial_0_type, type, (
% 7.02/4.63     p9_initial_0: $int)).
% 7.02/4.63  tff(p8_initial_0_type, type, (
% 7.02/4.63     p8_initial_0: $int)).
% 7.02/4.63  tff(p7_final_0_type, type, (
% 7.02/4.63     p7_final_0: $int)).
% 7.02/4.63  tff(p6_initial_0_type, type, (
% 7.02/4.63     p6_initial_0: $int)).
% 7.02/4.63  tff(p5_final_0_type, type, (
% 7.02/4.63     p5_final_0: $int)).
% 7.02/4.63  tff(p4_final_0_type, type, (
% 7.02/4.63     p4_final_0: $int)).
% 7.02/4.63  tff(p3_running_0_type, type, (
% 7.02/4.63     p3_running_0: $int)).
% 7.02/4.63  tff(p2_final_0_type, type, (
% 7.02/4.63     p2_final_0: $int)).
% 7.02/4.63  tff(initial_pm_0_type, type, (
% 7.02/4.63     initial_pm_0: $o)).
% 7.02/4.63  tff(initial_wf_0_type, type, (
% 7.02/4.63     initial_wf_0: $o)).
% 7.02/4.63  tff(p1_final_0_type, type, (
% 7.02/4.63     p1_final_0: $int)).
% 7.02/4.63  tff(role_level_type, type, (
% 7.02/4.63     role_level: a_Role > $int)).
% 7.02/4.63  tff(can_exec_6_type, type, (
% 7.02/4.63     can_exec_6: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(role2int_type, type, (
% 7.02/4.63     role2int: a_Role > $int)).
% 7.02/4.63  tff(t6_invoke_4_5_type, type, (
% 7.02/4.63     t6_invoke_4_5: an_Id > $o)).
% 7.02/4.63  tff(can_exec_4_type, type, (
% 7.02/4.63     can_exec_4: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(user_role_assign_type, type, (
% 7.02/4.63     user_role_assign: ( an_Id * a_Role ) > $o)).
% 7.02/4.63  tff(executed_8_type, type, (
% 7.02/4.63     executed_8: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(role_le_type, type, (
% 7.02/4.63     role_le: ( a_Role * a_Role ) > $o)).
% 7.02/4.63  tff(id2int_type, type, (
% 7.02/4.63     id2int: an_Id > $int)).
% 7.02/4.63  tff(t4_join_7_8_type, type, (
% 7.02/4.63     t4_join_7_8: an_Id > $o)).
% 7.02/4.63  tff(executed_9_type, type, (
% 7.02/4.63     executed_9: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(t1_receive_0_1_type, type, (
% 7.02/4.63     t1_receive_0_1: an_Id > $o)).
% 7.02/4.63  tff(can_exec_1_type, type, (
% 7.02/4.63     can_exec_1: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(t7_invokeo_5_6_type, type, (
% 7.02/4.63     t7_invokeo_5_6: an_Id > $o)).
% 7.02/4.63  tff(can_exec_9_type, type, (
% 7.02/4.63     can_exec_9: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(executed_1_type, type, (
% 7.02/4.63     executed_1: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(has_permission_type, type, (
% 7.02/4.63     has_permission: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(executed_0_type, type, (
% 7.02/4.63     executed_0: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(can_exec_3_type, type, (
% 7.02/4.63     can_exec_3: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(t3_split_2_3_type, type, (
% 7.02/4.63     t3_split_2_3: an_Id > $o)).
% 7.02/4.63  tff(role_permission_assign_type, type, (
% 7.02/4.63     role_permission_assign: ( a_Role * a_Permission ) > $o)).
% 7.02/4.63  tff(executed_5_type, type, (
% 7.02/4.63     executed_5: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(permission_type, type, (
% 7.02/4.63     permission: ( a_Permission * an_Action ) > $o)).
% 7.02/4.63  tff(permission2int_type, type, (
% 7.02/4.63     permission2int: a_Permission > $int)).
% 7.02/4.63  tff(can_exec_2_type, type, (
% 7.02/4.63     can_exec_2: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(t2_invoke_1_2_type, type, (
% 7.02/4.63     t2_invoke_1_2: an_Id > $o)).
% 7.02/4.63  tff(can_exec_5_type, type, (
% 7.02/4.63     can_exec_5: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(executed_2_type, type, (
% 7.02/4.63     executed_2: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(executed_4_type, type, (
% 7.02/4.63     executed_4: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(t9_invoke_8_9_type, type, (
% 7.02/4.63     t9_invoke_8_9: an_Id > $o)).
% 7.02/4.63  tff(executed_3_type, type, (
% 7.02/4.63     executed_3: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(action2int_type, type, (
% 7.02/4.63     action2int: an_Action > $int)).
% 7.02/4.63  tff(t8_invokei_6_7_type, type, (
% 7.02/4.63     t8_invokei_6_7: an_Id > $o)).
% 7.02/4.63  tff(t5_invoke_3_4_type, type, (
% 7.02/4.63     t5_invoke_3_4: an_Id > $o)).
% 7.02/4.63  tff(can_exec_8_type, type, (
% 7.02/4.63     can_exec_8: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(executed_6_type, type, (
% 7.02/4.63     executed_6: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(executed_7_type, type, (
% 7.02/4.63     executed_7: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(can_exec_0_type, type, (
% 7.02/4.63     can_exec_0: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(can_exec_7_type, type, (
% 7.02/4.63     can_exec_7: ( an_Id * an_Action ) > $o)).
% 7.02/4.63  tff(formula1, axiom,
% 7.02/4.63      p5_final_4 = 0).
% 7.02/4.63  tff(formula2, axiom,
% 7.02/4.63      p4_final_2 = 0).
% 7.02/4.63  tff(formula3, axiom,
% 7.02/4.63      p6_initial_2 = 0).
% 7.02/4.63  tff(formula4, axiom,
% 7.02/4.63      id4 = an_Id!val!3).
% 7.02/4.63  tff(formula5, axiom,
% 7.02/4.63      p8_initial_4 = 1).
% 7.02/4.63  tff(formula6, axiom,
% 7.02/4.63      id2 = an_Id!val!1).
% 7.02/4.63  tff(formula7, axiom,
% 7.02/4.63      id6 = an_Id!val!5).
% 7.02/4.63  tff(formula8, axiom,
% 7.02/4.63      p8_initial_5 = 1).
% 7.02/4.63  tff(formula9, axiom,
% 7.02/4.63      p3_running_1 = 0).
% 7.02/4.63  tff(formula10, axiom,
% 7.02/4.63      p5 = a_Permission!val!4).
% 7.02/4.63  tff(formula11, axiom,
% 7.02/4.63      p1 = a_Permission!val!0).
% 7.02/4.63  tff(formula12, axiom,
% 7.02/4.63      p5_final_1 = 0).
% 7.02/4.63  tff(formula13, axiom,
% 7.02/4.63      p2_final_7 = 0).
% 7.02/4.63  tff(formula14, axiom,
% 7.02/4.63      p2_final_6 = 0).
% 7.02/4.63  tff(formula15, axiom,
% 7.02/4.63      t8_invokei = an_Action!val!7).
% 7.02/4.63  tff(formula16, axiom,
% 7.02/4.63      p4_final_3 = 0).
% 7.02/4.63  tff(formula17, axiom,
% 7.02/4.63      t7_invokeo = an_Action!val!6).
% 7.02/4.63  tff(formula18, axiom,
% 7.02/4.63      p4_final_6 = 1).
% 7.02/4.63  tff(formula19, axiom,
% 7.02/4.63      p4_final_4 = 0).
% 7.02/4.63  tff(formula20, axiom,
% 7.02/4.63      p3 = a_Permission!val!2).
% 7.02/4.63  tff(formula21, axiom,
% 7.02/4.63      t2_invoke = an_Action!val!1).
% 7.02/4.63  tff(formula22, axiom,
% 7.02/4.63      p7_final_4 = 1).
% 7.02/4.63  tff(formula23, axiom,
% 7.02/4.63      p7_final_1 = 0).
% 7.02/4.63  tff(formula24, axiom,
% 7.02/4.63      p3_running_3 = 0).
% 7.02/4.63  tff(formula25, axiom,
% 7.02/4.63      p2_final_4 = 0).
% 7.02/4.63  tff(formula26, axiom,
% 7.02/4.63      t9_invoke = an_Action!val!8).
% 7.02/4.63  tff(formula27, axiom,
% 7.02/4.63      id1 = an_Id!val!0).
% 7.02/4.63  tff(formula28, axiom,
% 7.02/4.63      p2_final_5 = 0).
% 7.02/4.63  tff(formula29, axiom,
% 7.02/4.63      p5_final_6 = 0).
% 7.02/4.63  tff(formula30, axiom,
% 7.02/4.63      p4_final_7 = 1).
% 7.02/4.63  tff(formula31, axiom,
% 7.02/4.63      p5_final_7 = 1).
% 7.02/4.63  tff(formula32, axiom,
% 7.02/4.63      p6_initial_1 = 0).
% 7.02/4.63  tff(formula33, axiom,
% 7.02/4.63      p7_final_2 = 0).
% 7.02/4.63  tff(formula34, axiom,
% 7.02/4.63      p8_initial_2 = 0).
% 7.02/4.63  tff(formula35, axiom,
% 7.02/4.63      in_creator_ctrpay_2 = 1).
% 7.02/4.63  tff(formula36, axiom,
% 7.02/4.63      p3_running_5 = 0).
% 7.02/4.63  tff(formula37, axiom,
% 7.02/4.63      p8_initial_1 = 0).
% 7.02/4.63  tff(formula38, axiom,
% 7.02/4.63      in_creator_ctrpay_4 = 1).
% 7.02/4.63  tff(formula39, axiom,
% 7.02/4.63      p2 = a_Permission!val!1).
% 7.02/4.63  tff(formula40, axiom,
% 7.02/4.63      poadmin = a_Role!val!3).
% 7.02/4.63  tff(formula41, axiom,
% 7.02/4.63      p5_final_3 = 0).
% 7.02/4.63  tff(formula42, axiom,
% 7.02/4.63      p5_final_5 = 0).
% 7.02/4.63  tff(formula43, axiom,
% 7.02/4.63      t1_receive = an_Action!val!0).
% 7.02/4.63  tff(formula44, axiom,
% 7.02/4.63      p3_running_6 = 1).
% 7.02/4.63  tff(formula45, axiom,
% 7.02/4.63      p5_final_2 = 0).
% 7.02/4.63  tff(formula46, axiom,
% 7.02/4.63      finclerk = a_Role!val!2).
% 7.02/4.63  tff(formula47, axiom,
% 7.02/4.63      p6 = a_Permission!val!5).
% 7.02/4.63  tff(formula48, axiom,
% 7.02/4.63      in_creator_ctrpay_6 = 1).
% 7.02/4.63  tff(formula49, axiom,
% 7.02/4.63      p4 = a_Permission!val!3).
% 7.02/4.63  tff(formula50, axiom,
% 7.02/4.63      p1_final_2 = 1).
% 7.02/4.63  tff(formula51, axiom,
% 7.02/4.63      p2_final_2 = 0).
% 7.02/4.63  tff(formula52, axiom,
% 7.02/4.63      poclerk = a_Role!val!4).
% 7.02/4.63  tff(formula53, axiom,
% 7.02/4.63      p1_final_1 = 0).
% 7.02/4.63  tff(formula54, axiom,
% 7.02/4.63      in_creator_ctrpay_1 = 1).
% 7.02/4.63  tff(formula55, axiom,
% 7.02/4.63      t4_join = an_Action!val!3).
% 7.02/4.63  tff(formula56, axiom,
% 7.02/4.63      p3_running_2 = 0).
% 7.02/4.63  tff(formula57, axiom,
% 7.02/4.63      p6_initial_3 = 1).
% 7.02/4.63  tff(formula58, axiom,
% 7.02/4.63      p7_final_3 = 0).
% 7.02/4.63  tff(formula59, axiom,
% 7.02/4.63      in_creator_ctrpay_3 = 1).
% 7.02/4.63  tff(formula60, axiom,
% 7.02/4.63      t5_invoke = an_Action!val!4).
% 7.02/4.63  tff(formula61, axiom,
% 7.02/4.63      p10_final_1 = 1).
% 7.02/4.63  tff(formula62, axiom,
% 7.02/4.63      p3_running_4 = 0).
% 7.02/4.63  tff(formula63, axiom,
% 7.02/4.63      in_creator_ctrpay_5 = 1).
% 7.02/4.63  tff(formula64, axiom,
% 7.02/4.63      p2_final_3 = 0).
% 7.02/4.63  tff(formula65, axiom,
% 7.02/4.63      finadmin = a_Role!val!1).
% 7.02/4.63  tff(formula66, axiom,
% 7.02/4.63      id7 = an_Id!val!6).
% 7.02/4.63  tff(formula67, axiom,
% 7.02/4.63      p4_final_1 = 0).
% 7.02/4.63  tff(formula68, axiom,
% 7.02/4.63      id3 = an_Id!val!2).
% 7.02/4.63  tff(formula69, axiom,
% 7.02/4.63      t3_split = an_Action!val!2).
% 7.02/4.63  tff(formula70, axiom,
% 7.02/4.63      id5 = an_Id!val!4).
% 7.02/4.63  tff(formula71, axiom,
% 7.02/4.63      p2_final_1 = 0).
% 7.02/4.63  tff(formula72, axiom,
% 7.02/4.63      t6_invoke = an_Action!val!5).
% 7.02/4.63  tff(formula73, axiom,
% 7.02/4.63      p8_initial_3 = 1).
% 7.02/4.63  tff(formula74, axiom,
% 7.02/4.63      p4_final_5 = 1).
% 7.02/4.63  tff(formula75, axiom,
% 7.02/4.63      manager = a_Role!val!0).
% 7.02/4.63  tff(formula76, axiom,
% 7.02/4.63      client = a_Role!val!5).
% 7.02/4.63  tff(formula77, axiom,
% 7.02/4.63      p2_final_8 = 1).
% 7.02/4.63  tff(formula78, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_1 = 0).
% 7.02/4.63  tff(formula79, axiom,
% 7.02/4.63      out_signergrn_signgrn_1 = 0).
% 7.02/4.63  tff(formula80, axiom,
% 7.02/4.63      out_approverpo_apprpo_1 = 0).
% 7.02/4.63  tff(formula81, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_1 = 0).
% 7.02/4.63  tff(formula82, axiom,
% 7.02/4.63      out_creator_ctrpay_1 = 0).
% 7.02/4.63  tff(formula83, axiom,
% 7.02/4.63      in_customer_crtpo_1 = 0).
% 7.02/4.63  tff(formula84, axiom,
% 7.02/4.63      p11_final_1 = 0).
% 7.02/4.63  tff(formula85, axiom,
% 7.02/4.63      p9_initial_1 = 0).
% 7.02/4.63  tff(formula86, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_2 = 0).
% 7.02/4.63  tff(formula87, axiom,
% 7.02/4.63      out_signergrn_signgrn_2 = 0).
% 7.02/4.63  tff(formula88, axiom,
% 7.02/4.63      out_approverpo_apprpo_2 = 1).
% 7.02/4.63  tff(formula89, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_2 = 0).
% 7.02/4.63  tff(formula90, axiom,
% 7.02/4.63      out_creator_ctrpay_2 = 0).
% 7.02/4.63  tff(formula91, axiom,
% 7.02/4.63      in_customer_crtpo_2 = 0).
% 7.02/4.63  tff(formula92, axiom,
% 7.02/4.63      p11_final_2 = 0).
% 7.02/4.63  tff(formula93, axiom,
% 7.02/4.63      p10_final_2 = 0).
% 7.02/4.63  tff(formula94, axiom,
% 7.02/4.63      p9_initial_2 = 0).
% 7.02/4.63  tff(formula95, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_3 = 0).
% 7.02/4.63  tff(formula96, axiom,
% 7.02/4.63      out_signergrn_signgrn_3 = 0).
% 7.02/4.63  tff(formula97, axiom,
% 7.02/4.63      out_approverpo_apprpo_3 = 1).
% 7.02/4.63  tff(formula98, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_3 = 0).
% 7.02/4.63  tff(formula99, axiom,
% 7.02/4.63      out_creator_ctrpay_3 = 0).
% 7.02/4.63  tff(formula100, axiom,
% 7.02/4.63      in_customer_crtpo_3 = 0).
% 7.02/4.63  tff(formula101, axiom,
% 7.02/4.63      p11_final_3 = 0).
% 7.02/4.63  tff(formula102, axiom,
% 7.02/4.63      p10_final_3 = 0).
% 7.02/4.63  tff(formula103, axiom,
% 7.02/4.63      p9_initial_3 = 0).
% 7.02/4.63  tff(formula104, axiom,
% 7.02/4.63      p1_final_3 = 0).
% 7.02/4.63  tff(formula105, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_4 = 0).
% 7.02/4.63  tff(formula106, axiom,
% 7.02/4.63      out_signergrn_signgrn_4 = 1).
% 7.02/4.63  tff(formula107, axiom,
% 7.02/4.63      out_approverpo_apprpo_4 = 1).
% 7.02/4.63  tff(formula108, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_4 = 0).
% 7.02/4.63  tff(formula109, axiom,
% 7.02/4.63      out_creator_ctrpay_4 = 0).
% 7.02/4.63  tff(formula110, axiom,
% 7.02/4.63      in_customer_crtpo_4 = 0).
% 7.02/4.63  tff(formula111, axiom,
% 7.02/4.63      p11_final_4 = 0).
% 7.02/4.63  tff(formula112, axiom,
% 7.02/4.63      p10_final_4 = 0).
% 7.02/4.63  tff(formula113, axiom,
% 7.02/4.63      p9_initial_4 = 0).
% 7.02/4.63  tff(formula114, axiom,
% 7.02/4.63      p6_initial_4 = 0).
% 7.02/4.63  tff(formula115, axiom,
% 7.02/4.63      p1_final_4 = 0).
% 7.02/4.63  tff(formula116, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_5 = 1).
% 7.02/4.63  tff(formula117, axiom,
% 7.02/4.63      out_signergrn_signgrn_5 = 1).
% 7.02/4.63  tff(formula118, axiom,
% 7.02/4.63      out_approverpo_apprpo_5 = 1).
% 7.02/4.63  tff(formula119, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_5 = 0).
% 7.02/4.63  tff(formula120, axiom,
% 7.02/4.63      out_creator_ctrpay_5 = 0).
% 7.02/4.63  tff(formula121, axiom,
% 7.02/4.63      in_customer_crtpo_5 = 0).
% 7.02/4.63  tff(formula122, axiom,
% 7.02/4.63      p11_final_5 = 0).
% 7.02/4.63  tff(formula123, axiom,
% 7.02/4.63      p10_final_5 = 0).
% 7.02/4.63  tff(formula124, axiom,
% 7.02/4.63      p9_initial_5 = 0).
% 7.02/4.63  tff(formula125, axiom,
% 7.02/4.63      p7_final_5 = 0).
% 7.02/4.63  tff(formula126, axiom,
% 7.02/4.63      p6_initial_5 = 0).
% 7.02/4.63  tff(formula127, axiom,
% 7.02/4.63      p1_final_5 = 0).
% 7.02/4.63  tff(formula128, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_6 = 1).
% 7.02/4.63  tff(formula129, axiom,
% 7.02/4.63      out_signergrn_signgrn_6 = 1).
% 7.02/4.63  tff(formula130, axiom,
% 7.02/4.63      out_approverpo_apprpo_6 = 1).
% 7.02/4.63  tff(formula131, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_6 = 0).
% 7.02/4.63  tff(formula132, axiom,
% 7.02/4.63      out_creator_ctrpay_6 = 1).
% 7.02/4.63  tff(formula133, axiom,
% 7.02/4.63      in_customer_crtpo_6 = 0).
% 7.02/4.63  tff(formula134, axiom,
% 7.02/4.63      p11_final_6 = 0).
% 7.02/4.63  tff(formula135, axiom,
% 7.02/4.63      p10_final_6 = 0).
% 7.02/4.63  tff(formula136, axiom,
% 7.02/4.63      p9_initial_6 = 0).
% 7.02/4.63  tff(formula137, axiom,
% 7.02/4.63      p8_initial_6 = 0).
% 7.02/4.63  tff(formula138, axiom,
% 7.02/4.63      p7_final_6 = 0).
% 7.02/4.63  tff(formula139, axiom,
% 7.02/4.63      p6_initial_6 = 0).
% 7.02/4.63  tff(formula140, axiom,
% 7.02/4.63      p1_final_6 = 0).
% 7.02/4.63  tff(formula141, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_7 = 1).
% 7.02/4.63  tff(formula142, axiom,
% 7.02/4.63      out_signergrn_signgrn_7 = 1).
% 7.02/4.63  tff(formula143, axiom,
% 7.02/4.63      out_approverpo_apprpo_7 = 1).
% 7.02/4.63  tff(formula144, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_7 = 0).
% 7.02/4.63  tff(formula145, axiom,
% 7.02/4.63      out_creator_ctrpay_7 = 1).
% 7.02/4.63  tff(formula146, axiom,
% 7.02/4.63      in_creator_ctrpay_7 = 0).
% 7.02/4.63  tff(formula147, axiom,
% 7.02/4.63      in_customer_crtpo_7 = 0).
% 7.02/4.63  tff(formula148, axiom,
% 7.02/4.63      p11_final_7 = 0).
% 7.02/4.63  tff(formula149, axiom,
% 7.02/4.63      p10_final_7 = 0).
% 7.02/4.63  tff(formula150, axiom,
% 7.02/4.63      p9_initial_7 = 0).
% 7.02/4.63  tff(formula151, axiom,
% 7.02/4.63      p8_initial_7 = 0).
% 7.02/4.63  tff(formula152, axiom,
% 7.02/4.63      p7_final_7 = 0).
% 7.02/4.63  tff(formula153, axiom,
% 7.02/4.63      p6_initial_7 = 0).
% 7.02/4.63  tff(formula154, axiom,
% 7.02/4.63      p3_running_7 = 0).
% 7.02/4.63  tff(formula155, axiom,
% 7.02/4.63      p1_final_7 = 0).
% 7.02/4.63  tff(formula156, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_8 = 1).
% 7.02/4.63  tff(formula157, axiom,
% 7.02/4.63      out_signergrn_signgrn_8 = 1).
% 7.02/4.63  tff(formula158, axiom,
% 7.02/4.63      out_approverpo_apprpo_8 = 1).
% 7.02/4.63  tff(formula159, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_8 = 0).
% 7.02/4.63  tff(formula160, axiom,
% 7.02/4.63      out_creator_ctrpay_8 = 1).
% 7.02/4.63  tff(formula161, axiom,
% 7.02/4.63      in_creator_ctrpay_8 = 0).
% 7.02/4.63  tff(formula162, axiom,
% 7.02/4.63      in_customer_crtpo_8 = 0).
% 7.02/4.63  tff(formula163, axiom,
% 7.02/4.63      p11_final_8 = 0).
% 7.02/4.63  tff(formula164, axiom,
% 7.02/4.63      p10_final_8 = 0).
% 7.02/4.63  tff(formula165, axiom,
% 7.02/4.63      p9_initial_8 = 0).
% 7.02/4.63  tff(formula166, axiom,
% 7.02/4.63      p8_initial_8 = 0).
% 7.02/4.63  tff(formula167, axiom,
% 7.02/4.63      p7_final_8 = 0).
% 7.02/4.63  tff(formula168, axiom,
% 7.02/4.63      p6_initial_8 = 0).
% 7.02/4.63  tff(formula169, axiom,
% 7.02/4.63      p5_final_8 = 0).
% 7.02/4.63  tff(formula170, axiom,
% 7.02/4.63      p4_final_8 = 0).
% 7.02/4.63  tff(formula171, axiom,
% 7.02/4.63      p3_running_8 = 0).
% 7.02/4.63  tff(formula172, axiom,
% 7.02/4.63      p1_final_8 = 0).
% 7.02/4.63  tff(formula173, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_9 = 1).
% 7.02/4.63  tff(formula174, axiom,
% 7.02/4.63      out_signergrn_signgrn_9 = 1).
% 7.02/4.63  tff(formula175, axiom,
% 7.02/4.63      out_approverpo_apprpo_9 = 1).
% 7.02/4.63  tff(formula176, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_9 = 1).
% 7.02/4.63  tff(formula177, axiom,
% 7.02/4.63      out_creator_ctrpay_9 = 1).
% 7.02/4.63  tff(formula178, axiom,
% 7.02/4.63      in_creator_ctrpay_9 = 0).
% 7.02/4.63  tff(formula179, axiom,
% 7.02/4.63      in_customer_crtpo_9 = 0).
% 7.02/4.63  tff(formula180, axiom,
% 7.02/4.63      p11_final_9 = 1).
% 7.02/4.63  tff(formula181, axiom,
% 7.02/4.63      p10_final_9 = 0).
% 7.02/4.63  tff(formula182, axiom,
% 7.02/4.63      p9_initial_9 = 0).
% 7.02/4.63  tff(formula183, axiom,
% 7.02/4.63      p8_initial_9 = 0).
% 7.02/4.63  tff(formula184, axiom,
% 7.02/4.63      p7_final_9 = 0).
% 7.02/4.63  tff(formula185, axiom,
% 7.02/4.63      p6_initial_9 = 0).
% 7.02/4.63  tff(formula186, axiom,
% 7.02/4.63      p5_final_9 = 0).
% 7.02/4.63  tff(formula187, axiom,
% 7.02/4.63      p4_final_9 = 0).
% 7.02/4.63  tff(formula188, axiom,
% 7.02/4.63      p3_running_9 = 0).
% 7.02/4.63  tff(formula189, axiom,
% 7.02/4.63      p2_final_9 = 0).
% 7.02/4.63  tff(formula190, axiom,
% 7.02/4.63      p1_final_9 = 0).
% 7.02/4.63  tff(formula191, axiom,
% 7.02/4.63      out_signergrn_signgrn_0 = 0).
% 7.02/4.63  tff(formula192, axiom,
% 7.02/4.63      out_signergrn_ctrsigngrn_0 = 0).
% 7.02/4.63  tff(formula193, axiom,
% 7.02/4.63      out_creator_ctrpay_0 = 0).
% 7.02/4.63  tff(formula194, axiom,
% 7.02/4.63      out_approverpopayment_apprpay_0 = 0).
% 7.02/4.63  tff(formula195, axiom,
% 7.02/4.63      out_approverpo_apprpo_0 = 0).
% 7.02/4.63  tff(formula196, axiom,
% 7.02/4.63      in_creator_ctrpay_0 = 1).
% 7.02/4.63  tff(formula197, axiom,
% 7.02/4.63      in_customer_crtpo_0 = 1).
% 7.02/4.63  tff(formula198, axiom,
% 7.02/4.63      p11_final_0 = 0).
% 7.02/4.63  tff(formula199, axiom,
% 7.02/4.63      p10_final_0 = 0).
% 7.02/4.63  tff(formula200, axiom,
% 7.02/4.63      p9_initial_0 = 1).
% 7.02/4.63  tff(formula201, axiom,
% 7.02/4.63      p8_initial_0 = 0).
% 7.02/4.63  tff(formula202, axiom,
% 7.02/4.63      p7_final_0 = 0).
% 7.02/4.63  tff(formula203, axiom,
% 7.02/4.63      p6_initial_0 = 0).
% 7.02/4.63  tff(formula204, axiom,
% 7.02/4.63      p5_final_0 = 0).
% 7.02/4.63  tff(formula205, axiom,
% 7.02/4.63      p4_final_0 = 0).
% 7.02/4.63  tff(formula206, axiom,
% 7.02/4.63      p3_running_0 = 0).
% 7.02/4.63  tff(formula207, axiom,
% 7.02/4.63      p2_final_0 = 0).
% 7.02/4.63  tff(formula208, axiom,
% 7.02/4.63      initial_pm_0 <=> $true).
% 7.02/4.63  tff(formula209, axiom,
% 7.02/4.63      initial_wf_0 <=> $true).
% 7.02/4.63  tff(formula210, axiom,
% 7.02/4.63      p1_final_0 = 0).
% 7.02/4.63  tff(formula211, axiom,
% 7.02/4.63      ![X0: a_Role] : (role_level(X0) = ite_t((ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!5), 0, ite_t((ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!4), 1, ite_t((ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!3), 2, ite_t((ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!2), 1, ite_t((ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!1), 2, ite_t((ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!0), 3, 87)))))))).
% 7.02/4.63  tff(formula212, axiom,
% 7.02/4.63      ![X0: an_Id, X1: an_Action] : (can_exec_6(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.02/4.64  tff(formula213, axiom,
% 7.02/4.64      ![X0: a_Role] : (role2int(X0) = ite_t((ite_t((X0 = a_Role!val!3), a_Role!val!3, ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!0), a_Role!val!0, ite_t((X0 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!5), 6, ite_t((ite_t((X0 = a_Role!val!3), a_Role!val!3, ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!0), a_Role!val!0, ite_t((X0 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!4), 5, ite_t((ite_t((X0 = a_Role!val!3), a_Role!val!3, ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!0), a_Role!val!0, ite_t((X0 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!3), 4, ite_t((ite_t((X0 = a_Role!val!3), a_Role!val!3, ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!0), a_Role!val!0, ite_t((X0 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!2), 3, ite_t((ite_t((X0 = a_Role!val!3), a_Role!val!3, ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!0), a_Role!val!0, ite_t((X0 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!1), 2, ite_t((ite_t((X0 = a_Role!val!3), a_Role!val!3, ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!0), a_Role!val!0, ite_t((X0 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!0), 1, 83)))))))).
% 7.02/4.64  tff(formula214, axiom,
% 7.02/4.64      ![X0: an_Id] : (t6_invoke_4_5(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4))).
% 7.02/4.64  tff(formula215, axiom,
% 7.02/4.64      ![X0: an_Id, X1: an_Action] : (can_exec_4(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.02/4.65  tff(formula216, axiom,
% 7.02/4.65      ![X0: an_Id, X1: a_Role] : (user_role_assign(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!3)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!2)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!1))))).
% 7.02/4.66  tff(formula217, axiom,
% 7.02/4.66      ![X0: an_Id, X1: an_Action] : (executed_8(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!3)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!2))))).
% 7.02/4.66  tff(formula218, axiom,
% 7.02/4.66      ![X0: a_Role, X1: a_Role] : (role_le(X0, X1) <=> (((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!5) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!0)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!4) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!3)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!5) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!4)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!2) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!1)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!2) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!0)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!4) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!0)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!5) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!3)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!2) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!3)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!5) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!2)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!1) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!0)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!5) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!1)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!4) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!1)) | ((ite_t((X1 = a_Role!val!4), a_Role!val!4, ite_t((X1 = a_Role!val!1), a_Role!val!1, ite_t((X1 = a_Role!val!5), a_Role!val!5, ite_t((X1 = a_Role!val!2), a_Role!val!2, ite_t((X1 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!3) & (ite_t((X0 = a_Role!val!4), a_Role!val!4, ite_t((X0 = a_Role!val!1), a_Role!val!1, ite_t((X0 = a_Role!val!5), a_Role!val!5, ite_t((X0 = a_Role!val!2), a_Role!val!2, ite_t((X0 = a_Role!val!3), a_Role!val!3, a_Role!val!0))))) = a_Role!val!0))))).
% 7.02/4.66  tff(formula219, axiom,
% 7.02/4.66      ![X0: an_Id] : (id2int(X0) = ite_t((ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!1), an_Id!val!1, ite_t((X0 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6), 7, ite_t((ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!1), an_Id!val!1, ite_t((X0 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!5), 6, ite_t((ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!1), an_Id!val!1, ite_t((X0 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!4), 5, ite_t((ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!1), an_Id!val!1, ite_t((X0 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!3), 4, ite_t((ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!1), an_Id!val!1, ite_t((X0 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!2), 3, ite_t((ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!1), an_Id!val!1, ite_t((X0 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1), 2, ite_t((ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!1), an_Id!val!1, ite_t((X0 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0), 1, 85))))))))).
% 7.02/4.67  tff(formula220, axiom,
% 7.02/4.67      ![X0: an_Id] : (t4_join_7_8(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6))).
% 7.02/4.67  tff(formula221, axiom,
% 7.02/4.67      ![X0: an_Id, X1: an_Action] : (executed_9(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!3)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!2))))).
% 7.02/4.67  tff(formula222, axiom,
% 7.02/4.67      ![X0: an_Id] : (t1_receive_0_1(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5))).
% 7.02/4.67  tff(formula223, axiom,
% 7.02/4.67      ![X0: an_Id, X1: an_Action] : (can_exec_1(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.07/4.68  tff(formula224, axiom,
% 7.07/4.68      ![X0: an_Id] : (t7_invokeo_5_6(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1))).
% 7.07/4.68  tff(formula225, axiom,
% 7.07/4.68      ![X0: an_Id, X1: an_Action] : (can_exec_9(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.07/4.69  tff(formula226, axiom,
% 7.07/4.69      ![X0: an_Id, X1: an_Action] : (executed_1(X0, X1) <=> ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0)))).
% 7.07/4.69  tff(formula227, axiom,
% 7.07/4.69      ![X0: an_Id, X1: an_Action] : (has_permission(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5))))).
% 7.07/4.70  tff(formula228, axiom,
% 7.07/4.70      ![X0: an_Id, X1: an_Action] : (executed_0(X0, X1) <=> $false)).
% 7.07/4.70  tff(formula229, axiom,
% 7.07/4.70      ![X0: an_Id, X1: an_Action] : (can_exec_3(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.07/4.71  tff(formula230, axiom,
% 7.07/4.71      ![X0: an_Id] : (t3_split_2_3(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6))).
% 7.07/4.71  tff(formula231, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!0, a_Permission!val!4) <=> $true).
% 7.07/4.71  tff(formula232, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!3, a_Permission!val!0) <=> $true).
% 7.07/4.71  tff(formula233, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!5, a_Permission!val!5) <=> $true).
% 7.07/4.71  tff(formula234, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!1, a_Permission!val!3) <=> $true).
% 7.07/4.71  tff(formula235, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!0, a_Permission!val!0) <=> $true).
% 7.07/4.71  tff(formula236, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!2, a_Permission!val!3) <=> $true).
% 7.07/4.71  tff(formula237, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!4, a_Permission!val!2) <=> $true).
% 7.07/4.71  tff(formula238, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!1, a_Permission!val!4) <=> $true).
% 7.07/4.71  tff(formula239, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!0, a_Permission!val!3) <=> $true).
% 7.07/4.71  tff(formula240, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!3, a_Permission!val!2) <=> $true).
% 7.07/4.71  tff(formula241, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!0, a_Permission!val!2) <=> $true).
% 7.07/4.71  tff(formula242, axiom,
% 7.07/4.71      role_permission_assign(a_Role!val!5, a_Permission!val!1) <=> $true).
% 7.07/4.71  tff(formula243, axiom,
% 7.07/4.71      ![X0: a_Role, X1: a_Permission] : ((~(((a_Role!val!0 = X0) & (a_Permission!val!4 = X1)) | ((a_Role!val!3 = X0) & (a_Permission!val!0 = X1)) | ((a_Role!val!5 = X0) & (a_Permission!val!5 = X1)) | ((a_Role!val!1 = X0) & (a_Permission!val!3 = X1)) | ((a_Role!val!0 = X0) & (a_Permission!val!0 = X1)) | ((a_Role!val!2 = X0) & (a_Permission!val!3 = X1)) | ((a_Role!val!4 = X0) & (a_Permission!val!2 = X1)) | ((a_Role!val!1 = X0) & (a_Permission!val!4 = X1)) | ((a_Role!val!0 = X0) & (a_Permission!val!3 = X1)) | ((a_Role!val!3 = X0) & (a_Permission!val!2 = X1)) | ((a_Role!val!0 = X0) & (a_Permission!val!2 = X1)) | ((a_Role!val!5 = X0) & (a_Permission!val!1 = X1)))) => (role_permission_assign(X0, X1) <=> ((~((~(X1 = a_Role!val!0)) | (~((X0 = a_Permission!val!0) | (X0 = a_Permission!val!2) | (X0 = a_Permission!val!3) | (X0 = a_Permission!val!4))))) | (~((~(X1 = a_Role!val!3)) | (~((X0 = a_Permission!val!0) | (X0 = a_Permission!val!2))))) | (~((~(X1 = a_Role!val!5)) | (~((X0 = a_Permission!val!1) | (X0 = a_Permission!val!5))))) | (~((~(X1 = a_Role!val!1)) | (~((X0 = a_Permission!val!3) | (X0 = a_Permission!val!4))))) | (~((~(X1 = a_Role!val!4)) | (~(X0 = a_Permission!val!2)))) | (~((~(X1 = a_Role!val!2)) | (~(X0 = a_Permission!val!3)))))))).
% 7.07/4.71  tff(formula244, axiom,
% 7.07/4.71      ![X0: an_Id, X1: an_Action] : (executed_5(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!2))))).
% 7.07/4.71  tff(formula245, axiom,
% 7.07/4.71      ![X0: a_Permission, X1: an_Action] : (permission(X0, X1) <=> (((ite_t((X1 = a_Permission!val!3), a_Permission!val!3, ite_t((X1 = a_Permission!val!1), a_Permission!val!1, ite_t((X1 = a_Permission!val!0), a_Permission!val!0, ite_t((X1 = a_Permission!val!4), a_Permission!val!4, ite_t((X1 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = a_Permission!val!3), a_Permission!val!3, ite_t((X1 = a_Permission!val!1), a_Permission!val!1, ite_t((X1 = a_Permission!val!0), a_Permission!val!0, ite_t((X1 = a_Permission!val!4), a_Permission!val!4, ite_t((X1 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = a_Permission!val!3), a_Permission!val!3, ite_t((X1 = a_Permission!val!1), a_Permission!val!1, ite_t((X1 = a_Permission!val!0), a_Permission!val!0, ite_t((X1 = a_Permission!val!4), a_Permission!val!4, ite_t((X1 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = a_Permission!val!3), a_Permission!val!3, ite_t((X1 = a_Permission!val!1), a_Permission!val!1, ite_t((X1 = a_Permission!val!0), a_Permission!val!0, ite_t((X1 = a_Permission!val!4), a_Permission!val!4, ite_t((X1 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = a_Permission!val!3), a_Permission!val!3, ite_t((X1 = a_Permission!val!1), a_Permission!val!1, ite_t((X1 = a_Permission!val!0), a_Permission!val!0, ite_t((X1 = a_Permission!val!4), a_Permission!val!4, ite_t((X1 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = a_Permission!val!3), a_Permission!val!3, ite_t((X1 = a_Permission!val!1), a_Permission!val!1, ite_t((X1 = a_Permission!val!0), a_Permission!val!0, ite_t((X1 = a_Permission!val!4), a_Permission!val!4, ite_t((X1 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = a_Permission!val!3), a_Permission!val!3, ite_t((X1 = a_Permission!val!1), a_Permission!val!1, ite_t((X1 = a_Permission!val!0), a_Permission!val!0, ite_t((X1 = a_Permission!val!4), a_Permission!val!4, ite_t((X1 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8))))).
% 7.07/4.71  tff(formula246, axiom,
% 7.07/4.71      ![X0: a_Permission] : (permission2int(X0) = ite_t((ite_t((X0 = a_Permission!val!3), a_Permission!val!3, ite_t((X0 = a_Permission!val!1), a_Permission!val!1, ite_t((X0 = a_Permission!val!0), a_Permission!val!0, ite_t((X0 = a_Permission!val!4), a_Permission!val!4, ite_t((X0 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!5), 6, ite_t((ite_t((X0 = a_Permission!val!3), a_Permission!val!3, ite_t((X0 = a_Permission!val!1), a_Permission!val!1, ite_t((X0 = a_Permission!val!0), a_Permission!val!0, ite_t((X0 = a_Permission!val!4), a_Permission!val!4, ite_t((X0 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!4), 5, ite_t((ite_t((X0 = a_Permission!val!3), a_Permission!val!3, ite_t((X0 = a_Permission!val!1), a_Permission!val!1, ite_t((X0 = a_Permission!val!0), a_Permission!val!0, ite_t((X0 = a_Permission!val!4), a_Permission!val!4, ite_t((X0 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!3), 4, ite_t((ite_t((X0 = a_Permission!val!3), a_Permission!val!3, ite_t((X0 = a_Permission!val!1), a_Permission!val!1, ite_t((X0 = a_Permission!val!0), a_Permission!val!0, ite_t((X0 = a_Permission!val!4), a_Permission!val!4, ite_t((X0 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!2), 3, ite_t((ite_t((X0 = a_Permission!val!3), a_Permission!val!3, ite_t((X0 = a_Permission!val!1), a_Permission!val!1, ite_t((X0 = a_Permission!val!0), a_Permission!val!0, ite_t((X0 = a_Permission!val!4), a_Permission!val!4, ite_t((X0 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!1), 2, ite_t((ite_t((X0 = a_Permission!val!3), a_Permission!val!3, ite_t((X0 = a_Permission!val!1), a_Permission!val!1, ite_t((X0 = a_Permission!val!0), a_Permission!val!0, ite_t((X0 = a_Permission!val!4), a_Permission!val!4, ite_t((X0 = a_Permission!val!5), a_Permission!val!5, a_Permission!val!2))))) = a_Permission!val!0), 1, 84)))))))).
% 7.07/4.71  tff(formula247, axiom,
% 7.07/4.71      ![X0: an_Id, X1: an_Action] : (can_exec_2(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.07/4.72  tff(formula248, axiom,
% 7.07/4.72      ![X0: an_Id] : (t2_invoke_1_2(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3))).
% 7.07/4.72  tff(formula249, axiom,
% 7.07/4.72      ![X0: an_Id, X1: an_Action] : (can_exec_5(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.07/4.73  tff(formula250, axiom,
% 7.07/4.73      ![X0: an_Id, X1: an_Action] : (executed_2(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0))))).
% 7.07/4.73  tff(formula251, axiom,
% 7.07/4.73      ![X0: an_Id, X1: an_Action] : (executed_4(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!2))))).
% 7.07/4.73  tff(formula252, axiom,
% 7.07/4.73      ![X0: an_Id] : (t9_invoke_8_9(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0))).
% 7.07/4.73  tff(formula253, axiom,
% 7.07/4.73      ![X0: an_Id, X1: an_Action] : (executed_3(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!2))))).
% 7.07/4.74  tff(formula254, axiom,
% 7.07/4.74      ![X0: an_Action] : (action2int(X0) = ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!8), 9, ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!7), 8, ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!6), 7, ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!5), 6, ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!4), 5, ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!3), 4, ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!2), 3, ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!1), 2, ite_t((ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!1), an_Action!val!1, an_Action!val!5)))))))) = an_Action!val!0), 1, 86))))))))))).
% 7.07/4.74  tff(formula255, axiom,
% 7.07/4.74      ![X0: an_Id] : (t8_invokei_6_7(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1))).
% 7.07/4.74  tff(formula256, axiom,
% 7.07/4.74      ![X0: an_Id] : (t5_invoke_3_4(X0) <=> (ite_t((X0 = an_Id!val!2), an_Id!val!2, ite_t((X0 = an_Id!val!0), an_Id!val!0, ite_t((X0 = an_Id!val!6), an_Id!val!6, ite_t((X0 = an_Id!val!5), an_Id!val!5, ite_t((X0 = an_Id!val!3), an_Id!val!3, ite_t((X0 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5))).
% 7.07/4.74  tff(formula257, axiom,
% 7.07/4.74      ![X0: an_Id, X1: an_Action] : (can_exec_8(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.14/4.75  tff(formula258, axiom,
% 7.14/4.75      ![X0: an_Id, X1: an_Action] : (executed_6(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!2))))).
% 7.14/4.75  tff(formula259, axiom,
% 7.14/4.75      ![X0: an_Id, X1: an_Action] : (executed_7(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!3), an_Action!val!3, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!7)))))))) = an_Action!val!2))))).
% 7.14/4.76  tff(formula260, axiom,
% 7.14/4.76      ![X0: an_Id, X1: an_Action] : (can_exec_0(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.14/4.76  tff(formula261, axiom,
% 7.14/4.76      ![X0: an_Id, X1: an_Action] : (can_exec_7(X0, X1) <=> (((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!8)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!4) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!5)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!3) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!5) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!4)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!1) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!2) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!6) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!0), an_Id!val!0, ite_t((X1 = an_Id!val!6), an_Id!val!6, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!4), an_Id!val!4, an_Id!val!1)))))) = an_Id!val!0) & (ite_t((X0 = an_Action!val!0), an_Action!val!0, ite_t((X0 = an_Action!val!8), an_Action!val!8, ite_t((X0 = an_Action!val!4), an_Action!val!4, ite_t((X0 = an_Action!val!1), an_Action!val!1, ite_t((X0 = an_Action!val!2), an_Action!val!2, ite_t((X0 = an_Action!val!6), an_Action!val!6, ite_t((X0 = an_Action!val!5), an_Action!val!5, ite_t((X0 = an_Action!val!7), an_Action!val!7, an_Action!val!3)))))))) = an_Action!val!1))))).
% 7.17/4.83  % SZS output end Model
%------------------------------------------------------------------------------