TSTP Solution File: SWW740_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW740_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 20:59:47 EDT 2022
% Result : CounterSatisfiable 1.19s 1.02s
% Output : Model 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW740_1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Sep 4 21:13:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 1.19/1.02 % SZS status CounterSatisfiable
% 1.19/1.02 % SZS output start Model
% 1.19/1.02 tff(an_Action_val_6_type, type, (
% 1.19/1.02 an_Action_val_6: an_Action)).
% 1.19/1.02 tff(t7_invokeo_type, type, (
% 1.19/1.02 t7_invokeo: an_Action)).
% 1.19/1.02 tff(an_Id_val_3_type, type, (
% 1.19/1.02 an_Id_val_3: an_Id)).
% 1.19/1.02 tff(id4_type, type, (
% 1.19/1.02 id4: an_Id)).
% 1.19/1.02 tff(a_Permission_val_2_type, type, (
% 1.19/1.02 a_Permission_val_2: a_Permission)).
% 1.19/1.02 tff(p3_type, type, (
% 1.19/1.02 p3: a_Permission)).
% 1.19/1.02 tff(an_Action_val_3_type, type, (
% 1.19/1.02 an_Action_val_3: an_Action)).
% 1.19/1.02 tff(t4_join_type, type, (
% 1.19/1.02 t4_join: an_Action)).
% 1.19/1.02 tff(an_Id_val_1_type, type, (
% 1.19/1.02 an_Id_val_1: an_Id)).
% 1.19/1.02 tff(id2_type, type, (
% 1.19/1.02 id2: an_Id)).
% 1.19/1.02 tff(an_Id_val_5_type, type, (
% 1.19/1.02 an_Id_val_5: an_Id)).
% 1.19/1.02 tff(id6_type, type, (
% 1.19/1.02 id6: an_Id)).
% 1.19/1.02 tff(an_Action_val_1_type, type, (
% 1.19/1.02 an_Action_val_1: an_Action)).
% 1.19/1.02 tff(t2_invoke_type, type, (
% 1.19/1.02 t2_invoke: an_Action)).
% 1.19/1.02 tff(an_Action_val_4_type, type, (
% 1.19/1.02 an_Action_val_4: an_Action)).
% 1.19/1.02 tff(t5_invoke_type, type, (
% 1.19/1.02 t5_invoke: an_Action)).
% 1.19/1.02 tff(a_Permission_val_1_type, type, (
% 1.19/1.02 a_Permission_val_1: a_Permission)).
% 1.19/1.02 tff(p2_type, type, (
% 1.19/1.02 p2: a_Permission)).
% 1.19/1.02 tff(in_customer_crtpo_0_type, type, (
% 1.19/1.02 in_customer_crtpo_0: $int)).
% 1.19/1.02 tff(a_Role_val_3_type, type, (
% 1.19/1.02 a_Role_val_3: a_Role)).
% 1.19/1.02 tff(poadmin_type, type, (
% 1.19/1.02 poadmin: a_Role)).
% 1.19/1.02 tff(p9_initial_0_type, type, (
% 1.19/1.02 p9_initial_0: $int)).
% 1.19/1.02 tff(a_Role_val_1_type, type, (
% 1.19/1.02 a_Role_val_1: a_Role)).
% 1.19/1.02 tff(finadmin_type, type, (
% 1.19/1.02 finadmin: a_Role)).
% 1.19/1.02 tff(a_Permission_val_4_type, type, (
% 1.19/1.02 a_Permission_val_4: a_Permission)).
% 1.19/1.02 tff(p5_type, type, (
% 1.19/1.02 p5: a_Permission)).
% 1.19/1.02 tff(an_Id_val_6_type, type, (
% 1.19/1.02 an_Id_val_6: an_Id)).
% 1.19/1.02 tff(id7_type, type, (
% 1.19/1.02 id7: an_Id)).
% 1.19/1.02 tff(an_Action_val_0_type, type, (
% 1.19/1.02 an_Action_val_0: an_Action)).
% 1.19/1.02 tff(t1_receive_type, type, (
% 1.19/1.02 t1_receive: an_Action)).
% 1.19/1.02 tff(a_Permission_val_0_type, type, (
% 1.19/1.02 a_Permission_val_0: a_Permission)).
% 1.19/1.02 tff(p1_type, type, (
% 1.19/1.02 p1: a_Permission)).
% 1.19/1.02 tff(an_Id_val_2_type, type, (
% 1.19/1.02 an_Id_val_2: an_Id)).
% 1.19/1.02 tff(id3_type, type, (
% 1.19/1.02 id3: an_Id)).
% 1.19/1.02 tff(an_Action_val_8_type, type, (
% 1.19/1.02 an_Action_val_8: an_Action)).
% 1.19/1.02 tff(t9_invoke_type, type, (
% 1.19/1.02 t9_invoke: an_Action)).
% 1.19/1.02 tff(an_Id_val_0_type, type, (
% 1.19/1.02 an_Id_val_0: an_Id)).
% 1.19/1.02 tff(id1_type, type, (
% 1.19/1.02 id1: an_Id)).
% 1.19/1.02 tff(an_Action_val_2_type, type, (
% 1.19/1.02 an_Action_val_2: an_Action)).
% 1.19/1.02 tff(t3_split_type, type, (
% 1.19/1.02 t3_split: an_Action)).
% 1.19/1.02 tff(a_Role_val_2_type, type, (
% 1.19/1.02 a_Role_val_2: a_Role)).
% 1.19/1.02 tff(finclerk_type, type, (
% 1.19/1.02 finclerk: a_Role)).
% 1.19/1.02 tff(an_Id_val_4_type, type, (
% 1.19/1.02 an_Id_val_4: an_Id)).
% 1.19/1.02 tff(id5_type, type, (
% 1.19/1.02 id5: an_Id)).
% 1.19/1.02 tff(a_Permission_val_5_type, type, (
% 1.19/1.02 a_Permission_val_5: a_Permission)).
% 1.19/1.02 tff(p6_type, type, (
% 1.19/1.02 p6: a_Permission)).
% 1.19/1.02 tff(an_Action_val_5_type, type, (
% 1.19/1.02 an_Action_val_5: an_Action)).
% 1.19/1.02 tff(t6_invoke_type, type, (
% 1.19/1.02 t6_invoke: an_Action)).
% 1.19/1.02 tff(an_Action_val_7_type, type, (
% 1.19/1.02 an_Action_val_7: an_Action)).
% 1.19/1.02 tff(t8_invokei_type, type, (
% 1.19/1.02 t8_invokei: an_Action)).
% 1.19/1.02 tff(a_Role_val_0_type, type, (
% 1.19/1.02 a_Role_val_0: a_Role)).
% 1.19/1.02 tff(manager_type, type, (
% 1.19/1.02 manager: a_Role)).
% 1.19/1.02 tff(a_Permission_val_3_type, type, (
% 1.19/1.02 a_Permission_val_3: a_Permission)).
% 1.19/1.02 tff(p4_type, type, (
% 1.19/1.02 p4: a_Permission)).
% 1.19/1.02 tff(a_Role_val_5_type, type, (
% 1.19/1.02 a_Role_val_5: a_Role)).
% 1.19/1.02 tff(client_type, type, (
% 1.19/1.02 client: a_Role)).
% 1.19/1.02 tff(a_Role_val_4_type, type, (
% 1.19/1.02 a_Role_val_4: a_Role)).
% 1.19/1.02 tff(poclerk_type, type, (
% 1.19/1.02 poclerk: a_Role)).
% 1.19/1.02 tff(out_signergrn_signgrn_0_type, type, (
% 1.19/1.02 out_signergrn_signgrn_0: $int)).
% 1.19/1.02 tff(out_signergrn_ctrsigngrn_0_type, type, (
% 1.19/1.02 out_signergrn_ctrsigngrn_0: $int)).
% 1.19/1.02 tff(out_creator_ctrpay_0_type, type, (
% 1.19/1.02 out_creator_ctrpay_0: $int)).
% 1.19/1.02 tff(out_approverpopayment_apprpay_0_type, type, (
% 1.19/1.02 out_approverpopayment_apprpay_0: $int)).
% 1.19/1.02 tff(out_approverpo_apprpo_0_type, type, (
% 1.19/1.02 out_approverpo_apprpo_0: $int)).
% 1.19/1.02 tff(in_creator_ctrpay_0_type, type, (
% 1.19/1.02 in_creator_ctrpay_0: $int)).
% 1.19/1.02 tff(p11_final_0_type, type, (
% 1.19/1.02 p11_final_0: $int)).
% 1.19/1.02 tff(p10_final_0_type, type, (
% 1.19/1.02 p10_final_0: $int)).
% 1.19/1.02 tff(p8_initial_0_type, type, (
% 1.19/1.02 p8_initial_0: $int)).
% 1.19/1.02 tff(p7_final_0_type, type, (
% 1.19/1.02 p7_final_0: $int)).
% 1.19/1.02 tff(p6_initial_0_type, type, (
% 1.19/1.02 p6_initial_0: $int)).
% 1.19/1.02 tff(p5_final_0_type, type, (
% 1.19/1.02 p5_final_0: $int)).
% 1.19/1.02 tff(p4_final_0_type, type, (
% 1.19/1.02 p4_final_0: $int)).
% 1.19/1.02 tff(p3_running_0_type, type, (
% 1.19/1.02 p3_running_0: $int)).
% 1.19/1.02 tff(p2_final_0_type, type, (
% 1.19/1.02 p2_final_0: $int)).
% 1.19/1.02 tff(p1_final_0_type, type, (
% 1.19/1.02 p1_final_0: $int)).
% 1.19/1.02 tff(out_signergrn_ctrsigngrn_1_type, type, (
% 1.19/1.02 out_signergrn_ctrsigngrn_1: $int)).
% 1.19/1.02 tff(out_signergrn_signgrn_1_type, type, (
% 1.19/1.02 out_signergrn_signgrn_1: $int)).
% 1.19/1.02 tff(out_approverpo_apprpo_1_type, type, (
% 1.19/1.02 out_approverpo_apprpo_1: $int)).
% 1.19/1.02 tff(out_approverpopayment_apprpay_1_type, type, (
% 1.19/1.02 out_approverpopayment_apprpay_1: $int)).
% 1.19/1.02 tff(out_creator_ctrpay_1_type, type, (
% 1.19/1.02 out_creator_ctrpay_1: $int)).
% 1.19/1.02 tff(in_creator_ctrpay_1_type, type, (
% 1.19/1.02 in_creator_ctrpay_1: $int)).
% 1.19/1.02 tff(in_customer_crtpo_1_type, type, (
% 1.19/1.02 in_customer_crtpo_1: $int)).
% 1.19/1.02 tff(p11_final_1_type, type, (
% 1.19/1.02 p11_final_1: $int)).
% 1.19/1.02 tff(p10_final_1_type, type, (
% 1.19/1.02 p10_final_1: $int)).
% 1.19/1.02 tff(p9_initial_1_type, type, (
% 1.19/1.02 p9_initial_1: $int)).
% 1.19/1.02 tff(p8_initial_1_type, type, (
% 1.19/1.02 p8_initial_1: $int)).
% 1.19/1.02 tff(p7_final_1_type, type, (
% 1.19/1.02 p7_final_1: $int)).
% 1.19/1.02 tff(p6_initial_1_type, type, (
% 1.19/1.02 p6_initial_1: $int)).
% 1.19/1.02 tff(p5_final_1_type, type, (
% 1.19/1.02 p5_final_1: $int)).
% 1.19/1.02 tff(p4_final_1_type, type, (
% 1.19/1.02 p4_final_1: $int)).
% 1.19/1.02 tff(p3_running_1_type, type, (
% 1.19/1.02 p3_running_1: $int)).
% 1.19/1.02 tff(p2_final_1_type, type, (
% 1.19/1.02 p2_final_1: $int)).
% 1.19/1.02 tff(p1_final_1_type, type, (
% 1.19/1.02 p1_final_1: $int)).
% 1.19/1.02 tff(initial_pm_0_type, type, (
% 1.19/1.02 initial_pm_0: $o)).
% 1.19/1.02 tff(initial_wf_0_type, type, (
% 1.19/1.02 initial_wf_0: $o)).
% 1.19/1.02 tff(executed_0_type, type, (
% 1.19/1.02 executed_0: ( an_Id * an_Action ) > $o)).
% 1.19/1.02 tff(role_permission_assign_type, type, (
% 1.19/1.02 role_permission_assign: ( a_Role * a_Permission ) > $o)).
% 1.19/1.02 tff(role2int_type, type, (
% 1.19/1.02 role2int: a_Role > $int)).
% 1.19/1.02 tff(t1_receive_0_1_type, type, (
% 1.19/1.02 t1_receive_0_1: an_Id > $o)).
% 1.19/1.02 tff(can_exec_1_type, type, (
% 1.19/1.02 can_exec_1: ( an_Id * an_Action ) > $o)).
% 1.19/1.02 tff(permission_type, type, (
% 1.19/1.02 permission: ( a_Permission * an_Action ) > $o)).
% 1.19/1.02 tff(action2int_type, type, (
% 1.19/1.02 action2int: an_Action > $int)).
% 1.19/1.02 tff(permission2int_type, type, (
% 1.19/1.02 permission2int: a_Permission > $int)).
% 1.19/1.02 tff(user_role_assign_type, type, (
% 1.19/1.02 user_role_assign: ( an_Id * a_Role ) > $o)).
% 1.19/1.02 tff(can_exec_0_type, type, (
% 1.19/1.02 can_exec_0: ( an_Id * an_Action ) > $o)).
% 1.19/1.02 tff(role_le_type, type, (
% 1.19/1.02 role_le: ( a_Role * a_Role ) > $o)).
% 1.19/1.02 tff(id2int_type, type, (
% 1.19/1.02 id2int: an_Id > $int)).
% 1.19/1.02 tff(executed_1_type, type, (
% 1.19/1.02 executed_1: ( an_Id * an_Action ) > $o)).
% 1.19/1.02 tff(has_permission_type, type, (
% 1.19/1.02 has_permission: ( an_Id * an_Action ) > $o)).
% 1.19/1.02 tff(role_level_type, type, (
% 1.19/1.02 role_level: a_Role > $int)).
% 1.19/1.02 tff(formula1, axiom,
% 1.19/1.02 t7_invokeo = an_Action!val!6).
% 1.19/1.02 tff(formula2, axiom,
% 1.19/1.02 id4 = an_Id!val!3).
% 1.19/1.02 tff(formula3, axiom,
% 1.19/1.02 p3 = a_Permission!val!2).
% 1.19/1.02 tff(formula4, axiom,
% 1.19/1.02 t4_join = an_Action!val!3).
% 1.19/1.02 tff(formula5, axiom,
% 1.19/1.02 id2 = an_Id!val!1).
% 1.19/1.02 tff(formula6, axiom,
% 1.19/1.02 id6 = an_Id!val!5).
% 1.19/1.02 tff(formula7, axiom,
% 1.19/1.02 t2_invoke = an_Action!val!1).
% 1.19/1.02 tff(formula8, axiom,
% 1.19/1.02 t5_invoke = an_Action!val!4).
% 1.19/1.02 tff(formula9, axiom,
% 1.19/1.02 p2 = a_Permission!val!1).
% 1.19/1.02 tff(formula10, axiom,
% 1.19/1.02 in_customer_crtpo_0 = 12).
% 1.19/1.02 tff(formula11, axiom,
% 1.19/1.02 poadmin = a_Role!val!3).
% 1.19/1.02 tff(formula12, axiom,
% 1.19/1.02 p9_initial_0 = 12).
% 1.19/1.02 tff(formula13, axiom,
% 1.19/1.02 finadmin = a_Role!val!1).
% 1.19/1.02 tff(formula14, axiom,
% 1.19/1.02 p5 = a_Permission!val!4).
% 1.19/1.02 tff(formula15, axiom,
% 1.19/1.02 id7 = an_Id!val!6).
% 1.19/1.02 tff(formula16, axiom,
% 1.19/1.02 t1_receive = an_Action!val!0).
% 1.19/1.02 tff(formula17, axiom,
% 1.19/1.02 p1 = a_Permission!val!0).
% 1.19/1.02 tff(formula18, axiom,
% 1.19/1.02 id3 = an_Id!val!2).
% 1.19/1.02 tff(formula19, axiom,
% 1.19/1.02 t9_invoke = an_Action!val!8).
% 1.19/1.02 tff(formula20, axiom,
% 1.19/1.02 id1 = an_Id!val!0).
% 1.19/1.02 tff(formula21, axiom,
% 1.19/1.02 t3_split = an_Action!val!2).
% 1.19/1.02 tff(formula22, axiom,
% 1.19/1.02 finclerk = a_Role!val!2).
% 1.19/1.02 tff(formula23, axiom,
% 1.19/1.02 id5 = an_Id!val!4).
% 1.19/1.02 tff(formula24, axiom,
% 1.19/1.02 p6 = a_Permission!val!5).
% 1.19/1.02 tff(formula25, axiom,
% 1.19/1.02 t6_invoke = an_Action!val!5).
% 1.19/1.02 tff(formula26, axiom,
% 1.19/1.02 t8_invokei = an_Action!val!7).
% 1.19/1.02 tff(formula27, axiom,
% 1.19/1.02 manager = a_Role!val!0).
% 1.19/1.02 tff(formula28, axiom,
% 1.19/1.02 p4 = a_Permission!val!3).
% 1.19/1.02 tff(formula29, axiom,
% 1.19/1.02 client = a_Role!val!5).
% 1.19/1.02 tff(formula30, axiom,
% 1.19/1.02 poclerk = a_Role!val!4).
% 1.19/1.02 tff(formula31, axiom,
% 1.19/1.02 out_signergrn_signgrn_0 = 1).
% 1.19/1.02 tff(formula32, axiom,
% 1.19/1.02 out_signergrn_ctrsigngrn_0 = 1).
% 1.19/1.02 tff(formula33, axiom,
% 1.19/1.02 out_creator_ctrpay_0 = 1).
% 1.19/1.02 tff(formula34, axiom,
% 1.19/1.02 out_approverpopayment_apprpay_0 = 1).
% 1.19/1.02 tff(formula35, axiom,
% 1.19/1.02 out_approverpo_apprpo_0 = 1).
% 1.19/1.02 tff(formula36, axiom,
% 1.19/1.02 in_creator_ctrpay_0 = 2).
% 1.19/1.02 tff(formula37, axiom,
% 1.19/1.02 p11_final_0 = 1).
% 1.19/1.02 tff(formula38, axiom,
% 1.19/1.02 p10_final_0 = 1).
% 1.19/1.02 tff(formula39, axiom,
% 1.19/1.02 p8_initial_0 = 1).
% 1.19/1.02 tff(formula40, axiom,
% 1.19/1.02 p7_final_0 = 1).
% 1.19/1.02 tff(formula41, axiom,
% 1.19/1.02 p6_initial_0 = 1).
% 1.19/1.02 tff(formula42, axiom,
% 1.19/1.02 p5_final_0 = 1).
% 1.19/1.02 tff(formula43, axiom,
% 1.19/1.02 p4_final_0 = 1).
% 1.19/1.02 tff(formula44, axiom,
% 1.19/1.02 p3_running_0 = 1).
% 1.19/1.02 tff(formula45, axiom,
% 1.19/1.02 p2_final_0 = 1).
% 1.19/1.02 tff(formula46, axiom,
% 1.19/1.02 p1_final_0 = 1).
% 1.19/1.02 tff(formula47, axiom,
% 1.19/1.02 out_signergrn_ctrsigngrn_1 = 2).
% 1.19/1.02 tff(formula48, axiom,
% 1.19/1.02 out_signergrn_signgrn_1 = 2).
% 1.19/1.02 tff(formula49, axiom,
% 1.19/1.02 out_approverpo_apprpo_1 = 2).
% 1.19/1.02 tff(formula50, axiom,
% 1.19/1.02 out_approverpopayment_apprpay_1 = 2).
% 1.19/1.02 tff(formula51, axiom,
% 1.19/1.02 out_creator_ctrpay_1 = 2).
% 1.19/1.02 tff(formula52, axiom,
% 1.19/1.02 in_creator_ctrpay_1 = 3).
% 1.19/1.02 tff(formula53, axiom,
% 1.19/1.02 in_customer_crtpo_1 = 12).
% 1.19/1.02 tff(formula54, axiom,
% 1.19/1.02 p11_final_1 = 2).
% 1.19/1.02 tff(formula55, axiom,
% 1.19/1.02 p10_final_1 = 3).
% 1.19/1.02 tff(formula56, axiom,
% 1.19/1.02 p9_initial_1 = 12).
% 1.19/1.02 tff(formula57, axiom,
% 1.19/1.02 p8_initial_1 = 2).
% 1.19/1.02 tff(formula58, axiom,
% 1.19/1.02 p7_final_1 = 2).
% 1.19/1.02 tff(formula59, axiom,
% 1.19/1.02 p6_initial_1 = 2).
% 1.19/1.02 tff(formula60, axiom,
% 1.19/1.02 p5_final_1 = 2).
% 1.19/1.02 tff(formula61, axiom,
% 1.19/1.02 p4_final_1 = 2).
% 1.19/1.02 tff(formula62, axiom,
% 1.19/1.02 p3_running_1 = 2).
% 1.19/1.02 tff(formula63, axiom,
% 1.19/1.02 p2_final_1 = 2).
% 1.19/1.02 tff(formula64, axiom,
% 1.19/1.02 p1_final_1 = 2).
% 1.19/1.02 tff(formula65, axiom,
% 1.19/1.02 initial_pm_0 <=> $true).
% 1.19/1.02 tff(formula66, axiom,
% 1.19/1.02 initial_wf_0 <=> $false).
% 1.19/1.02 tff(formula67, axiom,
% 1.19/1.02 ![X0: an_Id, X1: an_Action] : (executed_0(X0, X1) <=> $false)).
% 1.19/1.02 tff(formula68, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!1, a_Permission!val!3) <=> $true).
% 1.19/1.02 tff(formula69, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!0, a_Permission!val!3) <=> $true).
% 1.19/1.02 tff(formula70, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!5, a_Permission!val!1) <=> $true).
% 1.19/1.02 tff(formula71, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!5, a_Permission!val!5) <=> $true).
% 1.19/1.02 tff(formula72, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!3, a_Permission!val!2) <=> $true).
% 1.19/1.02 tff(formula73, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!0, a_Permission!val!4) <=> $true).
% 1.19/1.02 tff(formula74, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!3, a_Permission!val!0) <=> $true).
% 1.19/1.02 tff(formula75, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!0, a_Permission!val!2) <=> $true).
% 1.19/1.02 tff(formula76, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!4, a_Permission!val!2) <=> $true).
% 1.19/1.02 tff(formula77, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!1, a_Permission!val!4) <=> $true).
% 1.19/1.02 tff(formula78, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!2, a_Permission!val!3) <=> $true).
% 1.19/1.02 tff(formula79, axiom,
% 1.19/1.02 role_permission_assign(a_Role!val!0, a_Permission!val!0) <=> $true).
% 1.19/1.02 tff(formula80, axiom,
% 1.19/1.02 ![X0: a_Role, X1: a_Permission] : ((~(((a_Role!val!1 = X0) & (a_Permission!val!3 = X1)) | ((a_Role!val!0 = X0) & (a_Permission!val!3 = X1)) | ((a_Role!val!5 = X0) & (a_Permission!val!1 = X1)) | ((a_Role!val!5 = X0) & (a_Permission!val!5 = X1)) | ((a_Role!val!3 = X0) & (a_Permission!val!2 = X1)) | ((a_Role!val!0 = X0) & (a_Permission!val!4 = X1)) | ((a_Role!val!3 = X0) & (a_Permission!val!0 = X1)) | ((a_Role!val!0 = X0) & (a_Permission!val!2 = X1)) | ((a_Role!val!4 = X0) & (a_Permission!val!2 = X1)) | ((a_Role!val!1 = X0) & (a_Permission!val!4 = X1)) | ((a_Role!val!2 = X0) & (a_Permission!val!3 = X1)) | ((a_Role!val!0 = X0) & (a_Permission!val!0 = X1)))) => (role_permission_assign(X0, X1) <=> ((~((~(X1 = a_Role!val!5)) | (~((X0 = a_Permission!val!1) | (X0 = a_Permission!val!5))))) | (~((~(X0 = a_Permission!val!3)) | (~(X1 = a_Role!val!2)))) | (~((~(X1 = a_Role!val!1)) | (~((X0 = a_Permission!val!4) | (X0 = a_Permission!val!3))))) | (~((~(X0 = a_Permission!val!2)) | (~(X1 = a_Role!val!4)))) | (~((~(X1 = a_Role!val!3)) | (~((X0 = a_Permission!val!0) | (X0 = a_Permission!val!2))))) | (~((~(X1 = a_Role!val!0)) | (~((X0 = a_Permission!val!2) | (X0 = a_Permission!val!4) | (X0 = a_Permission!val!0) | (X0 = a_Permission!val!3))))))))).
% 1.19/1.02 tff(formula81, axiom,
% 1.19/1.02 ![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, 39)))))))).
% 1.19/1.02 tff(formula82, axiom,
% 1.19/1.02 ![X0: an_Id] : (t1_receive_0_1(X0) <=> $false)).
% 1.19/1.02 tff(formula83, axiom,
% 1.19/1.02 ![X0: an_Id, X1: an_Action] : (can_exec_1(X0, X1) <=> (((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!2) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!5) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!2) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!3) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!7))))).
% 1.19/1.02 tff(formula84, axiom,
% 1.19/1.02 ![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!4) & (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!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!0), an_Action!val!0, 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 = 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!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, 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!0), an_Action!val!0, 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!6), an_Action!val!6, ite_t((X0 = an_Action!val!2), an_Action!val!2, 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!0), an_Action!val!0, 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!3) & (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!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!0), an_Action!val!0, 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!3) & (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!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!0), an_Action!val!0, 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!1) & (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!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!0), an_Action!val!0, 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!5) & (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!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!0), an_Action!val!0, 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))))).
% 1.19/1.02 tff(formula85, axiom,
% 1.19/1.02 ![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, 40))))))))))).
% 1.19/1.02 tff(formula86, axiom,
% 1.19/1.02 ![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, 41)))))))).
% 1.19/1.03 tff(formula87, axiom,
% 1.19/1.03 ![X0: an_Id, X1: a_Role] : (user_role_assign(X0, X1) <=> (((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!3) & (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)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!5) & (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)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!2) & (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)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1) & (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)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!4) & (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)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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))))).
% 1.19/1.03 tff(formula88, axiom,
% 1.19/1.03 ![X0: an_Id, X1: an_Action] : (can_exec_0(X0, X1) <=> (((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!2) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!5) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!0)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!2) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!7)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!6)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!3) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!1)) | ((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, ite_t((X0 = an_Action!val!7), an_Action!val!7, ite_t((X0 = an_Action!val!5), an_Action!val!5, an_Action!val!3)))))))) = an_Action!val!7))))).
% 1.19/1.03 tff(formula89, axiom,
% 1.19/1.03 ![X0: a_Role, X1: a_Role] : (role_le(X0, X1) <=> (((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!2) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!4) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!5) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!1) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!5) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!2) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!5) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!4) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!2) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!5) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!3) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!4) & (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)) | ((ite_t((X1 = a_Role!val!3), 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!0), a_Role!val!0, ite_t((X1 = a_Role!val!2), a_Role!val!2, a_Role!val!5))))) = a_Role!val!5) & (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))))).
% 1.19/1.03 tff(formula90, axiom,
% 1.19/1.03 ![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, 42))))))))).
% 1.19/1.03 tff(formula91, axiom,
% 1.19/1.03 ![X0: an_Id, X1: an_Action] : (executed_1(X0, X1) <=> $false)).
% 1.19/1.03 tff(formula92, axiom,
% 1.19/1.03 ![X0: an_Id, X1: an_Action] : (has_permission(X0, X1) <=> (((ite_t((X1 = an_Id!val!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!3) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!2) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!5) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!2) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!1) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!3) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!6) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!5) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!4) & (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!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!0), an_Action!val!0, 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!3), an_Id!val!3, ite_t((X1 = an_Id!val!2), an_Id!val!2, ite_t((X1 = an_Id!val!4), an_Id!val!4, ite_t((X1 = an_Id!val!5), an_Id!val!5, ite_t((X1 = an_Id!val!1), an_Id!val!1, ite_t((X1 = an_Id!val!6), an_Id!val!6, an_Id!val!0)))))) = an_Id!val!0) & (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!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!0), an_Action!val!0, 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))))).
% 1.19/1.04 tff(formula93, axiom,
% 1.19/1.04 ![X0: a_Role] : (role_level(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), 0, 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), 1, 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), 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!2), 1, 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), 3, 43)))))))).
% 1.19/1.04 % SZS output end Model
%------------------------------------------------------------------------------