%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV791-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 29 18:16:07 EDT 2024

% Result   : Unsatisfiable 26.41s 26.65s
% Output   : Proof 26.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.20  % Problem    : SWV791-1 : TPTP v8.2.0. Released v4.1.0.
% 0.14/0.21  % Command    : do_cvc5 %s %d
% 0.22/0.43  % Computer : n007.cluster.edu
% 0.22/0.43  % Model    : x86_64 x86_64
% 0.22/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.43  % Memory   : 8042.1875MB
% 0.22/0.43  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.43  % CPULimit   : 300
% 0.22/0.43  % WCLimit    : 300
% 0.22/0.43  % DateTime   : Mon May 27 01:08:09 EDT 2024
% 0.22/0.44  % CPUTime    : 
% 0.49/0.72  %----Proving TF0_NAR, FOF, or CNF
% 0.49/0.73  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.62/10.81  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.64/15.88  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.70/20.94  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.75/25.99  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.41/26.65  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.zIvQ33AFPO/cvc5---1.0.5_9852.smt2
% 26.41/26.65  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.zIvQ33AFPO/cvc5---1.0.5_9852.smt2
% 26.41/26.67  (assume a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_Y (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a1 (forall ((V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a2 (forall ((V_Y $$unsorted) (V_G $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in V_Y (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a3 (forall ((V_H $$unsorted) (V_H_H $$unsorted) (V_G $$unsorted) (V_G_H $$unsorted)) (or (not (= (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oanalz V_H_H))) (not (= (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_G_H))) (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G_H V_H_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))))
% 26.41/26.67  (assume a4 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz V_G) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a5 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a6 (forall ((T_a $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 26.41/26.67  (assume a7 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_xs)))
% 26.41/26.67  (assume a8 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a) (not (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 26.41/26.67  (assume a9 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_B T_a)))))
% 26.41/26.67  (assume a10 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_A T_a)))))
% 26.41/26.67  (assume a11 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 26.41/26.67  (assume a12 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Osynth V_H)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a13 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 26.41/26.67  (assume a14 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 26.41/26.67  (assume a15 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a16 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a17 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 26.41/26.67  (assume a18 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 26.41/26.67  (assume a19 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a20 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B T_a) (tptp.c_Orderings_Obot__class_Obot T_a))) (= V_B (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 26.41/26.67  (assume a21 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B T_a) (tptp.c_Orderings_Obot__class_Obot T_a))) (= V_A (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 26.41/26.67  (assume a22 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a23 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_B (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a24 (forall ((V_A $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_A) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 26.41/26.67  (assume a25 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 26.41/26.67  (assume a26 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 26.41/26.67  (assume a27 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_z T_a)))))
% 26.41/26.67  (assume a28 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) V_x T_a) (not (tptp.c_lessequals V_z V_x T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.41/26.67  (assume a29 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 26.41/26.67  (assume a30 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 26.41/26.67  (assume a31 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a) (not (tptp.c_lessequals V_b V_x T_a)) (not (tptp.c_lessequals V_a V_x T_a)))))
% 26.41/26.67  (assume a32 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a33 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a34 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a35 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a36 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 26.41/26.67  (assume a37 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 26.41/26.67  (assume a38 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a39 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 26.41/26.67  (assume a40 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 26.41/26.67  (assume a41 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a42 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a43 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a44 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Osynth V_H)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_H) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a45 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a46 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_x T_a) V_x))))
% 26.41/26.67  (assume a47 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_A (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 26.41/26.67  (assume a48 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 26.41/26.67  (assume a49 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 26.41/26.67  (assume a50 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 26.41/26.67  (assume a51 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Orderings_Otop__class_Otop T_a) T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 26.41/26.67  (assume a52 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Otop__class_Otop T_a) V_x T_a) (tptp.c_Orderings_Otop__class_Otop T_a)))))
% 26.41/26.67  (assume a53 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a54 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a55 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a56 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth V_G) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Osynth V_G) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a57 (forall ((V_K $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_OkeysFor (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_Message_OkeysFor V_H))))
% 26.41/26.67  (assume a58 (forall ((V_B $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_B V_x)) (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x))))))
% 26.41/26.67  (assume a59 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_B V_x))))))
% 26.41/26.67  (assume a60 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 26.41/26.67  (assume a61 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Orderings_Obot__class_Obot T_a) T_a) V_x))))
% 26.41/26.67  (assume a62 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a) V_x))))
% 26.41/26.67  (assume a63 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)))
% 26.41/26.67  (assume a64 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 26.41/26.67  (assume a65 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Message_Osynth (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a66 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_x) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.41/26.67  (assume a67 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y)) (tptp.c_lessequals V_x V_y T_a))))
% 26.41/26.67  (assume a68 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.41/26.67  (assume a69 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a70 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a71 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)) (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a72 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a))))
% 26.41/26.67  (assume a73 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_C V_D (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_D (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a74 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y V_z T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a)))))
% 26.41/26.67  (assume a75 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a)))))
% 26.41/26.67  (assume a76 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_b T_a)))))
% 26.41/26.67  (assume a77 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) T_a) (not (tptp.c_lessequals V_x V_a T_a)))))
% 26.41/26.67  (assume a78 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_b V_x T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a)))))
% 26.41/26.67  (assume a79 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_a V_x T_a) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_a V_b T_a) V_x T_a)))))
% 26.41/26.67  (assume a80 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a81 (forall ((V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a82 (forall ((T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a83 (forall ((V_f $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a84 (forall ((V_G $$unsorted) (V_H $$unsorted) (V_G_H $$unsorted) (V_H_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G_H V_H_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oanalz V_H_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_G_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a85 (forall ((V_c $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_in V_c (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a86 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Otl (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Otl V_xs T_a) V_ys T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a87 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset V_ys T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a88 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a89 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in V_X V_G tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a90 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oanalz V_H)) tptp.tc_nat))))
% 26.41/26.67  (assume a91 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_G $$unsorted) (V_X $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))) tptp.tc_nat) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)))))
% 26.41/26.67  (assume a92 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in (tptp.c_Message_OinvKey V_K) (tptp.c_Message_OkeysFor V_H) tptp.tc_nat) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a93 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_K (tptp.c_Message_OkeysFor V_H) tptp.tc_nat) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a94 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows V_A V_evs)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a95 (forall ((V_Z $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Z (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a96 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_G)) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_G)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a97 (forall ((V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a98 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 26.41/26.67  (assume a99 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a100 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a101 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a102 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a103 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.41/26.67  (assume a104 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.41/26.67  (assume a105 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a106 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Osynth V_G) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a107 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H) (tptp.c_Event_Oevent_OGets V_agent V_msg)))))
% 26.41/26.67  (assume a108 (forall ((V_b $$unsorted) (V_A $$unsorted)) (not (tptp.c_in (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) tptp.c_Message_OsymKeys tptp.tc_nat))))
% 26.41/26.67  (assume a109 (forall ((V_K $$unsorted)) (= (tptp.c_Message_OinvKey (tptp.c_Message_OinvKey V_K)) V_K)))
% 26.41/26.67  (assume a110 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_B T_a)))))
% 26.41/26.67  (assume a111 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))))
% 26.41/26.67  (assume a112 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Otop T_a)) (tptp.c_lessequals V_x (tptp.c_Orderings_Otop__class_Otop T_a) T_a))))
% 26.41/26.67  (assume a113 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a114 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_b T_a) (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) T_a))))
% 26.41/26.67  (assume a115 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.v_sko__NS__Shared__Mirabelle__XIssues__def__1 V_A V_B V_X V_evs) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_NS__Shared__Mirabelle_OIssues V_A V_B V_X V_evs)))))
% 26.41/26.67  (assume a116 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a V_A T_a)))))
% 26.41/26.67  (assume a117 (forall ((T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a118 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a119 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_b V_c) (= V_b V_d))))
% 26.41/26.67  (assume a120 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_a V_d) (= V_b V_d))))
% 26.41/26.67  (assume a121 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_b V_c) (= V_a V_c))))
% 26.41/26.67  (assume a122 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_a V_d) (= V_a V_c))))
% 26.41/26.67  (assume a123 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_ONotes V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H))) (= V_agent V_agent_H))))
% 26.41/26.67  (assume a124 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_ONotes V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H))) (= V_msg V_msg_H))))
% 26.41/26.67  (assume a125 (forall ((V_X $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oinsert V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a126 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H)))))
% 26.41/26.67  (assume a127 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 26.41/26.67  (assume a128 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.41/26.67  (assume a129 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 26.41/26.67  (assume a130 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a131 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a132 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_AA $$unsorted)) (not (tptp.c_in (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x)) (tptp.c_Set_Oimage tptp.c_Public_OshrK V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))))
% 26.41/26.67  (assume a133 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) V_x))))
% 26.41/26.67  (assume a134 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_agent V_agent_H))))
% 26.41/26.67  (assume a135 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_msg V_msg_H))))
% 26.41/26.67  (assume a136 (forall ((T_a $$unsorted)) (not (= (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a137 (forall ((T_a $$unsorted) (V_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_x)))))
% 26.41/26.67  (assume a138 (forall ((V_K $$unsorted)) (or (= (tptp.c_Message_OinvKey V_K) V_K) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)))))
% 26.41/26.67  (assume a139 (forall ((V_f $$unsorted) (V_g $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Set_Oimage (tptp.c_COMBB V_f V_g T_c T_a T_b) (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Set_Oimage V_f (tptp.c_Set_Oimage V_g (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_c) T_c T_a))))
% 26.41/26.67  (assume a140 (forall ((V_K $$unsorted)) (or (tptp.c_in (tptp.c_Message_OinvKey V_K) tptp.c_Message_OsymKeys tptp.tc_nat) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)))))
% 26.41/26.67  (assume a141 (forall ((V_K $$unsorted)) (or (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat) (not (tptp.c_in (tptp.c_Message_OinvKey V_K) tptp.c_Message_OsymKeys tptp.tc_nat)))))
% 26.41/26.67  (assume a142 (forall ((V_X $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oinsert V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_Message_Osynth (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a143 (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a144 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x))))))
% 26.41/26.67  (assume a145 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Set_Oinsert V_x V_A T_a))))
% 26.41/26.67  (assume a146 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_OdropWhile V_P V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 26.41/26.67  (assume a147 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Set_Oinsert V_a V_A T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a148 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Obot T_a)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a))))
% 26.41/26.67  (assume a149 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a150 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_c $$unsorted) (V_AA $$unsorted)) (not (tptp.c_in (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x)) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_c) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))))
% 26.41/26.67  (assume a151 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a152 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a153 (forall ((V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oused (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oused V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a154 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f V_A T_b T_a))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 26.41/26.67  (assume a155 (forall ((V_X $$unsorted) (V_evs $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Event_Oused V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in V_X (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a156 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_AA $$unsorted)) (or (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_x) V_xa) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_x) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat) (not (tptp.c_in V_xa V_AA tptp.tc_Message_Oagent)))))
% 26.41/26.67  (assume a157 (forall ((V_x $$unsorted) (V_AA $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (tptp.c_in V_x V_AA tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_c) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)))))
% 26.41/26.67  (assume a158 (forall ((V_b $$unsorted) (V_c $$unsorted) (V_x $$unsorted) (V_AA $$unsorted)) (or (= V_b V_c) (not (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_c) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)))))
% 26.41/26.67  (assume a159 (forall ((V_K $$unsorted) (V_K_H $$unsorted)) (or (not (= (tptp.c_Message_OinvKey V_K) (tptp.c_Message_OinvKey V_K_H))) (= V_K V_K_H))))
% 26.41/26.67  (assume a160 (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))) tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a161 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (or (= (tptp.c_List_OtakeWhile (tptp.c_COMBB tptp.c_Not (tptp.c_COMBC (tptp.c_fequal T_a) V_x T_a T_a tptp.tc_bool) tptp.tc_bool tptp.tc_bool T_a) (tptp.c_List_Orev V_xs T_a) T_a) (tptp.c_List_Orev (tptp.c_List_Otl (tptp.c_List_OdropWhile (tptp.c_COMBB tptp.c_Not (tptp.c_COMBC (tptp.c_fequal T_a) V_x T_a T_a tptp.tc_bool) tptp.tc_bool tptp.tc_bool T_a) V_xs T_a) T_a) T_a)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 26.41/26.67  (assume a162 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a163 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oused (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Event_Oused V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a164 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oused (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Event_Oused V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 26.41/26.67  (assume a165 (forall ((V_c $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a166 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a167 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 26.41/26.67  (assume a168 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 26.41/26.67  (assume a169 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool))))))
% 26.41/26.67  (assume a170 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_C $$unsorted)) (not (= (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_C))))))
% 26.41/26.67  (assume a171 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a)))
% 26.41/26.67  (assume a172 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a173 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_a T_b) (tptp.c_Set_Oimage V_f V_B T_a T_b) (tptp.tc_fun T_b tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a174 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_lessequals V_x V_A (tptp.tc_fun T_b tptp.tc_bool))) (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_x T_b T_a) (tptp.c_Set_Oimage V_f V_A T_b T_a) (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a175 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oused (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oused V_evs))))
% 26.41/26.67  (assume a176 (forall ((V_a $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_a V_C T_a) (tptp.c_Set_Oinsert V_a V_D T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_D (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a177 (forall ((V_b $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_C)) (tptp.hAPP tptp.c_Public_OshrK V_A)))))
% 26.41/26.67  (assume a178 (forall ((V_X $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Set_Oinsert V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a179 (forall ((V_c $$unsorted) (V_A_H $$unsorted) (V_b $$unsorted) (V_A $$unsorted)) (not (= (tptp.hAPP (tptp.c_Public_OpublicKey V_c) V_A_H) (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A))))))
% 26.41/26.67  (assume a180 (forall ((V_X $$unsorted)) (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK V_X) tptp.c_Message_OsymKeys tptp.tc_nat)))
% 26.41/26.67  (assume a181 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 26.41/26.67  (assume a182 (forall ((V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.c_Event_Oused V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a183 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a184 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a185 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a186 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)) (= V_A tptp.c_Message_Oagent_OSpy))))
% 26.41/26.67  (assume a187 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B (tptp.v_sko__NS__Shared__Mirabelle__XIssues__def__1 V_A V_B V_X V_evs)) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_NS__Shared__Mirabelle_OIssues V_A V_B V_X V_evs)))))
% 26.41/26.67  (assume a188 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a189 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a190 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a191 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a192 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a193 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 26.41/26.67  (assume a194 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 26.41/26.67  (assume a195 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a196 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_List_Oset V_xs T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a197 (forall ((T_a $$unsorted)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_List_Oset (tptp.c_List_Olist_ONil T_a) T_a))))
% 26.41/26.67  (assume a198 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oset V_xs T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a199 (forall ((V_X $$unsorted)) (not (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a200 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_lessequals V_G (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a201 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H)) (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a202 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_a V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a203 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 V_P (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a))) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 V_P V_xb T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_xa))))))
% 26.41/26.67  (assume a204 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 V_P (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a))) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 V_P V_x T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_xa))))))
% 26.41/26.67  (assume a205 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a206 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a207 (forall ((V_X $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_Y $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X_H V_Y) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X_H V_Y) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a208 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a209 (forall ((V_K $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a210 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_a V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a211 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oanalz V_H)) (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a212 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in V_Y (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a213 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a214 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_Y $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a215 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a216 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a217 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a218 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a219 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a220 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a221 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a222 (forall ((V_K $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a223 (forall ((V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a224 (forall ((V_A $$unsorted) (V_H $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a225 (forall ((V_agt $$unsorted) (V_H $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OAgent V_agt) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a226 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_K_H $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K_H) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K_H) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a227 (forall ((V_n $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_ONonce V_n) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_n) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a228 (forall ((V_N $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a229 (forall ((V_N $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a230 (forall ((V_agt $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_agt) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_agt) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a231 (forall ((V_X $$unsorted) (V_K $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_C) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_C) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a232 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a233 (forall ((V_K $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_C) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_C) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a234 (forall ((V_agt $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_agt) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OAgent V_agt) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a235 (forall ((V_X $$unsorted) (V_K $$unsorted) (V_N $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a236 (forall ((V_K $$unsorted) (V_N $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a237 (forall ((V_N $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a238 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_OtakeWhile V_P V_xs T_a) (tptp.c_List_OdropWhile V_P V_xs T_a) T_a) V_xs)))
% 26.41/26.67  (assume a239 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_OtakeWhile V_P V_ys T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__XtakeWhile__append2__1__1 V_P V_xs T_a)))))))
% 26.41/26.67  (assume a240 (forall ((V_x $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_x (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in (tptp.c_Message_Omsg_OKey V_x) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_x) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a241 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_KAB $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (= V_K V_KAB) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (tptp.c_in V_KAB (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a242 (forall ((V_K $$unsorted) (V_KAB $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_KAB (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a243 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_e $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons V_e V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a244 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))))
% 26.41/26.67  (assume a245 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 26.41/26.67  (assume a246 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)) (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 26.41/26.67  (assume a247 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_OdropWhile V_P V_xs T_a) (tptp.c_List_Olist_ONil T_a))) (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 26.41/26.67  (assume a248 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs4 $$unsorted) (V_A_H $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) V_evs4 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A_H V_B (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (tptp.c_List_Oset V_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Event_Oused V_evs4) tptp.tc_Message_Omsg) (not (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs4)))))
% 26.41/26.67  (assume a249 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (= (tptp.c_List_OdropWhile V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_OdropWhile V_P V_xs T_a) V_ys T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 26.41/26.67  (assume a250 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (not (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a251 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a252 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a253 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a254 (forall ((V_K $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a255 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a256 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a257 (forall ((V_B $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_B)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a258 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a259 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_OdropWhile V_P V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (= V_xs (tptp.c_List_Oappend (tptp.c_List_OtakeWhile V_P V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a)))))
% 26.41/26.67  (assume a260 (forall ((V_xs $$unsorted) (V_P $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= V_xs (tptp.c_List_Oappend (tptp.c_List_OtakeWhile V_P V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a))) (= (tptp.c_List_OdropWhile V_P V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a)) (tptp.hBOOL (tptp.hAPP V_P V_y)))))
% 26.41/26.67  (assume a261 (forall ((V_B $$unsorted) (V_X $$unsorted) (V_evsf $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy V_B V_X) V_evsf tptp.tc_Event_Oevent)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evsf))) tptp.tc_Message_Omsg)) (not (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evsf)))))
% 26.41/26.67  (assume a262 (forall ((V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_KAB $$unsorted) (V_evs2 $$unsorted) (V_A_H $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Message_Omsg_OAgent V_A)))))))) V_evs2 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A_H tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) (tptp.c_List_Oset V_evs2 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in V_KAB tptp.c_Message_OsymKeys tptp.tc_nat)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Event_Oused V_evs2) tptp.tc_Message_Omsg) (not (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs2)))))
% 26.41/26.67  (assume a263 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))))
% 26.41/26.67  (assume a264 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))))
% 26.41/26.67  (assume a265 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A_H V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a266 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a267 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_b V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a268 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a269 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) V_B T_a) (not (tptp.c_in V_x V_A T_b)) (not (tptp.c_lessequals (tptp.c_Set_Oimage V_f V_A T_b T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a270 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.hAPP (tptp.c_Public_OpublicKey V_c) V_A_H)))))
% 26.41/26.67  (assume a271 (forall ((V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (or (= V_b V_a) (not (tptp.c_in V_b (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a)))))
% 26.41/26.67  (assume a272 (forall ((V_b $$unsorted) (V_x $$unsorted) (V_AA $$unsorted)) (not (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_x) (tptp.c_Set_Oimage tptp.c_Public_OshrK V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))))
% 26.41/26.67  (assume a273 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A) (tptp.hAPP (tptp.c_Public_OpublicKey V_c) V_A_H))) (= V_A V_A_H))))
% 26.41/26.67  (assume a274 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A) (tptp.hAPP (tptp.c_Public_OpublicKey V_c) V_A_H))) (= V_b V_c))))
% 26.41/26.67  (assume a275 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_y V_A T_a) T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oinsert V_x V_A T_a) T_a))))
% 26.41/26.67  (assume a276 (forall ((V_f $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) T_a)))
% 26.41/26.67  (assume a277 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a278 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a279 (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_xa (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_xa (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))))
% 26.41/26.67  (assume a280 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))))
% 26.41/26.67  (assume a281 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (= V_a V_b))))
% 26.41/26.67  (assume a282 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_xa T_a) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (tptp.c_in V_x V_xa T_a))))
% 26.41/26.67  (assume a283 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a284 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 26.41/26.67  (assume a285 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Set_Oinsert (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (tptp.c_Set_Oimage V_f V_A T_a T_b)) (not (tptp.c_in V_x V_A T_a)))))
% 26.41/26.67  (assume a286 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 26.41/26.67  (assume a287 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_in V_x V_A T_a) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a288 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 26.41/26.67  (assume a289 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 26.41/26.67  (assume a290 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Osynth (tptp.c_Message_Osynth V_H)) (tptp.c_Message_Osynth V_H))))
% 26.41/26.67  (assume a291 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oimage V_f (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_b tptp.tc_bool)) T_b T_a))))
% 26.41/26.67  (assume a292 (forall ((V_b $$unsorted) (V_A $$unsorted)) (not (tptp.c_in (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A) tptp.c_Message_OsymKeys tptp.tc_nat))))
% 26.41/26.67  (assume a293 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_G)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a294 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.hAPP V_f V_a) (tptp.c_Set_Oimage V_f V_B T_b T_a) T_a) (tptp.c_Set_Oimage V_f (tptp.c_Set_Oinsert V_a V_B T_b) T_b T_a))))
% 26.41/26.67  (assume a295 (forall ((V_x $$unsorted) (V_b $$unsorted) (V_AA $$unsorted)) (not (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK V_x) (tptp.c_Set_Oimage (tptp.c_Public_OpublicKey V_b) V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat))))
% 26.41/26.67  (assume a296 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A))) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a297 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))))
% 26.41/26.67  (assume a298 (forall ((V_K $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a299 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a) (not (tptp.c_in V_a V_A T_a)))))
% 26.41/26.67  (assume a300 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_B T_a) T_a) (not (tptp.c_in V_a V_B T_a)))))
% 26.41/26.67  (assume a301 (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_t V_B T_a) (not (tptp.c_in V_t V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a302 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_A T_a)))))
% 26.41/26.67  (assume a303 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a304 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 26.41/26.67  (assume a305 (forall ((V_x $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 26.41/26.67  (assume a306 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 26.41/26.67  (assume a307 (forall ((V_c $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_c (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 26.41/26.67  (assume a308 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 26.41/26.67  (assume a309 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a V_A T_a) (= V_a V_b) (not (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a)))))
% 26.41/26.67  (assume a310 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun T_a tptp.tc_bool)) T_a)))
% 26.41/26.67  (assume a311 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a)))
% 26.41/26.67  (assume a312 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_a (tptp.c_Set_Oinsert V_a V_B T_a) T_a)))
% 26.41/26.67  (assume a313 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_B T_a) T_a)))
% 26.41/26.67  (assume a314 (forall ((V_P $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)))))
% 26.41/26.67  (assume a315 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_x V_A T_a) (tptp.c_Set_Oinsert V_x V_B T_a))) (tptp.c_in V_x V_B T_a) (tptp.c_in V_x V_A T_a) (= V_A V_B))))
% 26.41/26.67  (assume a316 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.c_in V_a V_A T_a)))))
% 26.41/26.67  (assume a317 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_aa $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x V_A T_aa)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_aa T_a) T_a))))
% 26.41/26.67  (assume a318 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x V_A T_b)) (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a))))
% 26.41/26.67  (assume a319 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_b T_a) T_a) (not (tptp.c_in V_x V_A T_b)))))
% 26.41/26.67  (assume a320 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_in (tptp.hAPP V_f V_x) (tptp.c_Set_Oimage V_f V_A T_a T_b) T_b) (not (tptp.c_in V_x V_A T_a)))))
% 26.41/26.67  (assume a321 (forall ((V_f $$unsorted) (V_g $$unsorted) (V_A $$unsorted) (T_c $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oimage V_f (tptp.c_Set_Oimage V_g V_A T_c T_b) T_b T_a) (tptp.c_Set_Oimage (tptp.c_COMBB V_f V_g T_b T_a T_c) V_A T_c T_a))))
% 26.41/26.67  (assume a322 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OdropWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 26.41/26.67  (assume a323 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OdropWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_OdropWhile V_P V_xs T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 26.41/26.67  (assume a324 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_OdropWhile V_P V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_y))))))
% 26.41/26.67  (assume a325 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 26.41/26.67  (assume a326 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a327 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Osynth V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a328 (forall ((T_a $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Olist_ONil T_a) T_a)))
% 26.41/26.67  (assume a329 (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_OdropWhile V_P (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 26.41/26.67  (assume a330 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a331 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a332 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a333 (= (tptp.c_Message_Oparts (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a334 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a335 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals V_G (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a336 (forall ((V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) (tptp.c_Message_Oanalz V_G)) (not (tptp.c_lessequals V_H V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a337 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a338 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals V_H V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a339 (forall ((V_K $$unsorted) (V_G $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals V_H V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a340 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Odistinct V_ys T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 26.41/26.67  (assume a341 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 26.41/26.67  (assume a342 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a343 (forall ((V_H $$unsorted) (V_H_H $$unsorted) (V_X $$unsorted)) (or (not (= (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oanalz V_H_H))) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H_H tptp.tc_Message_Omsg))))))
% 26.41/26.67  (assume a344 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a345 (= (tptp.c_Message_Oanalz (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a346 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a347 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 26.41/26.67  (assume a348 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a349 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H)))))
% 26.41/26.67  (assume a350 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H)))))
% 26.41/26.67  (assume a351 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H) (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg)))))
% 26.41/26.67  (assume a352 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H) (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg)))))
% 26.41/26.67  (assume a353 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_C $$unsorted)) (not (= (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_C)))))
% 26.41/26.67  (assume a354 (forall ((V_b $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (not (= (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_C) (tptp.hAPP tptp.c_Public_OshrK V_A)))))
% 26.41/26.67  (assume a355 (forall ((V_A $$unsorted)) (= (tptp.c_Message_OinvKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.hAPP tptp.c_Public_OshrK V_A))))
% 26.41/26.67  (assume a356 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Orev V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 26.41/26.67  (assume a357 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Orev V_xs T_a) T_a)))))
% 26.41/26.67  (assume a358 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A_H V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a359 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a360 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A_H V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a361 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 26.41/26.67  (assume a362 (forall ((V_x $$unsorted) (V_AA $$unsorted)) (or (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK V_x) (tptp.c_Set_Oimage tptp.c_Public_OshrK V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat) (not (tptp.c_in V_x V_AA tptp.tc_Message_Oagent)))))
% 26.41/26.67  (assume a363 (forall ((V_x $$unsorted) (V_AA $$unsorted)) (or (tptp.c_in V_x V_AA tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.hAPP tptp.c_Public_OshrK V_x) (tptp.c_Set_Oimage tptp.c_Public_OshrK V_AA tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)))))
% 26.41/26.67  (assume a364 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a365 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a366 (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))
% 26.41/26.67  (assume a367 (forall ((V_K $$unsorted) (V_X $$unsorted)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Event_Oused (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a368 (forall ((V_N $$unsorted)) (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_N) (tptp.c_Event_Oused (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a369 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs5 $$unsorted) (V_S $$unsorted) (V_NA $$unsorted) (V_X $$unsorted) (V_B_H $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_ONonce V_NB)))) V_evs5 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs5 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_B_H V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evs5 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs5)))))
% 26.41/26.67  (assume a370 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (or (= (tptp.c_List_OdropWhile (tptp.c_COMBB tptp.c_Not (tptp.c_COMBC (tptp.c_fequal T_a) V_x T_a T_a tptp.tc_bool) tptp.tc_bool tptp.tc_bool T_a) (tptp.c_List_Orev V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Orev (tptp.c_List_OtakeWhile (tptp.c_COMBB tptp.c_Not (tptp.c_COMBC (tptp.c_fequal T_a) V_x T_a T_a tptp.tc_bool) tptp.tc_bool tptp.tc_bool T_a) V_xs T_a) T_a) T_a)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 26.41/26.67  (assume a371 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_evs1 $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) V_evs1 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Event_Oused V_evs1) tptp.tc_Message_Omsg) (not (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs1)))))
% 26.41/26.67  (assume a372 (forall ((V_P $$unsorted) (V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_OtakeWhile V_P V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a373 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 V_P (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a))) (tptp.c_in (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 V_P V_x T_a) (tptp.c_List_Oset V_x T_a) T_a) (not (tptp.hBOOL (tptp.hAPP V_P V_xa))))))
% 26.41/26.67  (assume a374 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 V_P (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a) (tptp.c_List_Oset (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a) T_a) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 V_P V_xb T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_xa))))))
% 26.41/26.67  (assume a375 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 V_P (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a) (tptp.c_List_Oset (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a) T_a) (tptp.c_in (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 V_P V_x T_a) (tptp.c_List_Oset V_x T_a) T_a) (not (tptp.hBOOL (tptp.hAPP V_P V_xa))))))
% 26.41/26.67  (assume a376 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 V_P (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a))) (tptp.c_in (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 V_P V_xb T_a) (tptp.c_List_Oset V_xb T_a) T_a) (not (tptp.hBOOL (tptp.hAPP V_P V_xa))))))
% 26.41/26.67  (assume a377 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 V_P (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a) (tptp.c_List_Oset (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a) T_a) (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__5 V_P V_x T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_xa))))))
% 26.41/26.67  (assume a378 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 V_P (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a) (tptp.c_List_Oset (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_xa V_xb T_a) T_a) T_a) T_a) (tptp.c_in (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__5 V_P V_xb T_a) (tptp.c_List_Oset V_xb T_a) T_a) (not (tptp.hBOOL (tptp.hAPP V_P V_xa))))))
% 26.41/26.67  (assume a379 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_K_H $$unsorted) (V_N $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt V_K_H (tptp.c_Message_Omsg_OMPair V_N (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a380 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a381 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_OtakeWhile V_P V_ys T_a) T_a)) (tptp.c_in (tptp.c_List_Osko__List__XtakeWhile__append2__1__1 V_P V_xs T_a) (tptp.c_List_Oset V_xs T_a) T_a))))
% 26.41/26.67  (assume a382 (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a383 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a384 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a385 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a386 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Oappend V_evs (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))))
% 26.41/26.67  (assume a387 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a388 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a389 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a390 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs4 $$unsorted) (V_A_H $$unsorted)) (or (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) V_evs4 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A_H V_B (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (tptp.c_List_Oset V_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Event_Oused V_evs4) tptp.tc_Message_Omsg) (not (tptp.c_in V_evs4 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a391 (forall ((V_P $$unsorted) (V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_OtakeWhile V_P V_evs tptp.tc_Event_Oevent))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a392 (forall ((V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Orev V_evs tptp.tc_Event_Oevent))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 26.41/26.67  (assume a393 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted) (V_x $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_OIssues V_A V_B V_X V_evs) (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_OtakeWhile (tptp.c_COMBB tptp.c_Not (tptp.c_COMBC (tptp.c_fequal tptp.tc_Event_Oevent) (tptp.c_Event_Oevent_OSays V_A V_B V_x) tptp.tc_Event_Oevent tptp.tc_Event_Oevent tptp.tc_bool) tptp.tc_bool tptp.tc_bool tptp.tc_Event_Oevent) (tptp.c_List_Orev V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_x) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a394 (forall ((V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_KAB $$unsorted) (V_evs2 $$unsorted) (V_A_H $$unsorted)) (or (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Message_Omsg_OAgent V_A)))))))) V_evs2 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A_H tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) (tptp.c_List_Oset V_evs2 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in V_KAB tptp.c_Message_OsymKeys tptp.tc_nat)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_KAB) (tptp.c_Event_Oused V_evs2) tptp.tc_Message_Omsg) (not (tptp.c_in V_evs2 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a395 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP (tptp.c_Public_OpublicKey V_b) V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a396 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a397 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a398 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_K $$unsorted) (V_S $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in V_K (tptp.c_Set_Oimage tptp.c_Public_OshrK (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Message_Oagent tptp.tc_bool)) tptp.tc_Message_Oagent tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a399 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= V_A tptp.c_Message_Oagent_OSpy))))
% 26.41/26.67  (assume a400 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 26.41/26.67  (assume a401 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1 V_K V_evs) (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2 V_K V_evs) (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a402 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Oappend V_evs (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))))
% 26.41/26.67  (assume a403 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_OtakeWhile (tptp.c_COMBB tptp.c_Not (tptp.c_COMBC (tptp.c_fequal tptp.tc_Event_Oevent) (tptp.c_Event_Oevent_OSays V_A V_B (tptp.v_sko__NS__Shared__Mirabelle__XIssues__def__1 V_A V_B V_X V_evs)) tptp.tc_Event_Oevent tptp.tc_Event_Oevent tptp.tc_bool) tptp.tc_bool tptp.tc_bool tptp.tc_Event_Oevent) (tptp.c_List_Orev V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.c_NS__Shared__Mirabelle_OIssues V_A V_B V_X V_evs)))))
% 26.41/26.67  (assume a404 (forall ((V_NA $$unsorted) (V_NB $$unsorted) (V_K $$unsorted) (V_evso $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_OKey V_K)))) V_evso tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evso tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evso tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evso)))))
% 26.41/26.67  (assume a405 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs5 $$unsorted) (V_S $$unsorted) (V_NA $$unsorted) (V_X $$unsorted) (V_B_H $$unsorted)) (or (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_ONonce V_NB)))) V_evs5 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs5 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_B_H V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evs5 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in V_K tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_evs5 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a406 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Oappend V_evs (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a407 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a408 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_K_H $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 V_K V_NA V_evs) (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt V_K_H (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a409 (forall ((V_B $$unsorted) (V_X $$unsorted) (V_evsf $$unsorted)) (or (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy V_B V_X) V_evsf tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evsf))) tptp.tc_Message_Omsg)) (not (tptp.c_in V_evsf tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a410 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Oappend V_evs (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 26.41/26.67  (assume a411 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted) (V_X $$unsorted)) (or (tptp.c_in (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1 V_K V_NA V_evs) (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a412 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 V_K V_NA V_evs) (tptp.c_Message_Omsg_OKey V_K)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a413 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_evs1 $$unsorted)) (or (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) V_evs1 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Event_Oused V_evs1) tptp.tc_Message_Omsg) (not (tptp.c_in V_evs1 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a414 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs3 $$unsorted) (V_NA $$unsorted) (V_S $$unsorted) (V_K $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs3 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) (tptp.c_List_Oset V_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= V_A tptp.c_Message_Oagent_OServer) (not (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evs3)))))
% 26.41/26.67  (assume a415 (forall ((V_NA $$unsorted) (V_NB $$unsorted) (V_K $$unsorted) (V_evso $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_OKey V_K)))) V_evso tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evso tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evso tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in V_evso tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a416 (forall ((V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_A $$unsorted) (V_NA $$unsorted)) (or (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1 V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a417 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 V_A V_B V_K V_evs) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a418 (forall ((V_msg1_H $$unsorted) (V_msg2_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 26.41/26.67  (assume a419 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Oparts V_H)) (tptp.c_Message_Oparts V_H))))
% 26.41/26.67  (assume a420 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_x $$unsorted) (V_l $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x V_l T_a) T_a) T_a) (tptp.c_List_OtakeWhile V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 26.41/26.67  (assume a421 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OKey V_nat_H)))))
% 26.41/26.67  (assume a422 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Orev V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 26.41/26.67  (assume a423 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oparts V_H)) (tptp.c_Message_Oparts V_H))))
% 26.41/26.67  (assume a424 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_OKey V_nat)))))
% 26.41/26.67  (assume a425 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_S $$unsorted) (V_A $$unsorted) (V_KA $$unsorted) (V_N $$unsorted) (V_B $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt V_KA (tptp.c_Message_Omsg_OMPair V_N (tptp.c_Message_Omsg_OMPair V_B (tptp.c_Message_Omsg_OMPair V_K V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a426 (forall ((T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))))
% 26.41/26.67  (assume a427 (tptp.c_in tptp.c_Message_Oagent_OSpy tptp.c_Event_Obad tptp.tc_Message_Oagent))
% 26.41/26.67  (assume a428 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a429 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Orev V_ys T_a))) (= V_xs V_ys))))
% 26.41/26.67  (assume a430 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a431 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Orev V_xs T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a432 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a433 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a434 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_msg V_msg_H))))
% 26.41/26.67  (assume a435 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent2 V_agent2_H))))
% 26.41/26.67  (assume a436 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))))
% 26.41/26.67  (assume a437 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_xs)) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a438 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= V_xs (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a439 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_ys)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a440 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= V_ys (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a441 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a))))
% 26.41/26.67  (assume a442 (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 26.41/26.67  (assume a443 (forall ((V_nat_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OKey V_nat_H) (tptp.c_Message_Omsg_ONonce V_nat)))))
% 26.41/26.67  (assume a444 (forall ((V_agent $$unsorted) (V_nat_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OKey V_nat_H)))))
% 26.41/26.67  (assume a445 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_ONonce V_nat)))))
% 26.41/26.67  (assume a446 (forall ((V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Orev V_evs tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a447 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))))
% 26.41/26.67  (assume a448 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_list V_list_H))))
% 26.41/26.67  (assume a449 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_OtakeWhile V_P V_xs T_a) V_xs)) (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 26.41/26.67  (assume a450 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a451 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a452 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Orev (tptp.c_List_Olist_ONil T_a) T_a))))
% 26.41/26.67  (assume a453 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a454 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a455 (tptp.c_in (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))
% 26.41/26.67  (assume a456 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oanalz V_H))))
% 26.41/26.67  (assume a457 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a458 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))
% 26.41/26.67  (assume a459 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (= V_xs V_ys))))
% 26.41/26.67  (assume a460 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (= V_x V_y))))
% 26.41/26.67  (assume a461 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 26.41/26.67  (assume a462 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_ys V_zs T_a) T_a))))
% 26.41/26.67  (assume a463 (forall ((V_xs $$unsorted) (V_xs1 $$unsorted) (V_us $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_xs1 V_us T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_xs1 T_a) V_us T_a))))
% 26.41/26.67  (assume a464 (forall ((V_zs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_zs V_x T_a) V_ys T_a) (tptp.c_List_Oappend V_zs (tptp.c_List_Oappend V_x V_ys T_a) T_a))))
% 26.41/26.67  (assume a465 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_x V_ts T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_x T_a) V_ts T_a))))
% 26.41/26.67  (assume a466 (forall ((V_agent $$unsorted) (V_agent_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OAgent V_agent_H))) (= V_agent V_agent_H))))
% 26.41/26.67  (assume a467 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted) (V_X $$unsorted)) (or (tptp.c_in (tptp.c_Event_Oevent_OSays V_B V_A (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_ONonce V_NB)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a468 (forall ((V_K_H $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_N $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_X $$unsorted)) (or (= V_K_H (tptp.hAPP tptp.c_Public_OshrK V_A)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt V_K_H (tptp.c_Message_Omsg_OMPair V_N (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a469 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olist_ONil T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a470 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a471 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a) T_a) T_a) (tptp.c_in V_x (tptp.c_List_Oset V_xa T_a) T_a))))
% 26.41/26.67  (assume a472 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a) T_a) T_a) (tptp.c_in V_x (tptp.c_List_Oset V_xb T_a) T_a))))
% 26.41/26.67  (assume a473 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a474 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a475 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_OtakeWhile V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 26.41/26.67  (assume a476 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_x V_xb T_a) T_a) T_a) T_a)))
% 26.41/26.67  (assume a477 (forall ((V_nat_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 26.41/26.67  (assume a478 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a479 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a480 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a481 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a482 (not (= tptp.c_Message_Oagent_OServer tptp.c_Message_Oagent_OSpy)))
% 26.41/26.67  (assume a483 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a484 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Message_Oparts V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a485 (forall ((V_A $$unsorted) (V_A_H $$unsorted) (V_evs $$unsorted) (V_NA_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (= V_A V_A_H) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair V_NA_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X_H))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a486 (forall ((V_NA $$unsorted) (V_NA_H $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (= V_NA V_NA_H) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair V_NA_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X_H))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a487 (forall ((V_B $$unsorted) (V_B_H $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_NA_H $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_X $$unsorted)) (or (= V_B V_B_H) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair V_NA_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X_H))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a488 (forall ((V_X $$unsorted) (V_X_H $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_NA_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted)) (or (= V_X V_X_H) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair V_NA_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X_H))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a489 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))) (= V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a)))))
% 26.41/26.67  (assume a490 (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a491 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OKey V_nat) (tptp.c_Message_Omsg_OKey V_nat_H))) (= V_nat V_nat_H))))
% 26.41/26.67  (assume a492 (forall ((V_agent $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))))
% 26.41/26.67  (assume a493 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))))
% 26.41/26.67  (assume a494 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Orev V_xs T_a) T_a) V_xs)))
% 26.41/26.67  (assume a495 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Orev V_ys T_a) T_a) V_ys)))
% 26.41/26.67  (assume a496 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_List_Orev (tptp.c_List_Orev V_xs T_a) T_a))))
% 26.41/26.67  (assume a497 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a))))
% 26.41/26.67  (assume a498 (forall ((T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a) V_ys)))
% 26.41/26.67  (assume a499 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a))))
% 26.41/26.67  (assume a500 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= V_x (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_x T_a))))
% 26.41/26.67  (assume a501 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) V_xs)))
% 26.41/26.67  (assume a502 (forall ((V_K $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_K (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_B (tptp.c_Message_Omsg_OMPair V_K V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a503 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Oappend V_xs V_zs T_a))) (= V_ys V_zs))))
% 26.41/26.67  (assume a504 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_ys V_xs T_a) (tptp.c_List_Oappend V_zs V_xs T_a))) (= V_ys V_zs))))
% 26.41/26.67  (assume a505 (forall ((V_agent $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 26.41/26.67  (assume a506 (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))))
% 26.41/26.67  (assume a507 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 26.41/26.67  (assume a508 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Orev V_xs T_a))) (= V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a)))))
% 26.41/26.67  (assume a509 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 26.41/26.67  (assume a510 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 26.41/26.67  (assume a511 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a512 (forall ((V_nat_H $$unsorted) (V_agent $$unsorted)) (not (= (tptp.c_Message_Omsg_OKey V_nat_H) (tptp.c_Message_Omsg_OAgent V_agent)))))
% 26.41/26.67  (assume a513 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a514 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.hAPP tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a515 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a516 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_ONonce V_nat_H))) (= V_nat V_nat_H))))
% 26.41/26.67  (assume a517 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x V_S T_a) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))))
% 26.41/26.67  (assume a518 (forall ((V_S $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_S V_x)) (not (tptp.c_in V_x V_S T_a)))))
% 26.41/26.67  (assume a519 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 26.41/26.67  (assume a520 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBC V_P V_Q T_b T_c T_a) V_R) (tptp.hAPP (tptp.hAPP V_P V_R) V_Q))))
% 26.41/26.67  (assume a521 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 26.41/26.67  (assume a522 (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_nat V_nat_H))))
% 26.41/26.67  (assume a523 (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))))
% 26.41/26.67  (assume a524 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_S $$unsorted) (V_NA $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a525 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a))))
% 26.41/26.67  (assume a526 (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a) (= V_y V_x) (not (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a)))))
% 26.41/26.67  (assume a527 (forall ((V_A $$unsorted) (V_NA $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a528 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))))
% 26.41/26.67  (assume a529 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (= V_xs (tptp.c_List_Oappend (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a)))))
% 26.41/26.67  (assume a530 (forall ((V_agent $$unsorted) (V_nat_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OAgent V_agent) (tptp.c_Message_Omsg_ONonce V_nat_H)))))
% 26.41/26.67  (assume a531 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a))))
% 26.41/26.67  (assume a532 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs T_a) V_ys T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs V_ys T_a) T_a))))
% 26.41/26.67  (assume a533 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))) (= V_msg1 V_msg1_H))))
% 26.41/26.67  (assume a534 (forall ((V_msg1 $$unsorted) (V_msg2 $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))) (= V_msg2 V_msg2_H))))
% 26.41/26.67  (assume a535 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) V_X) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a536 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a))))
% 26.41/26.67  (assume a537 (forall ((V_x $$unsorted) (V_xs1 $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs1 V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs1 T_a) V_zs T_a))))
% 26.41/26.67  (assume a538 (not (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))
% 26.41/26.67  (assume a539 (forall ((V_msg1_H $$unsorted) (V_msg2_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H) (tptp.c_Message_Omsg_ONonce V_nat)))))
% 26.41/26.67  (assume a540 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a541 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_a_H V_list_H T_a) (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a542 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_msg1 $$unsorted) (V_msg2 $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_OMPair V_msg1 V_msg2)))))
% 26.41/26.67  (assume a543 (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_K_H $$unsorted) (V_N $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt V_K_H (tptp.c_Message_Omsg_OMPair V_N (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (assume a544 (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OKey V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))))
% 26.41/26.67  (assume a545 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Oappend (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))))
% 26.41/26.67  (assume a546 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 26.41/26.67  (assume a547 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_NB $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Omsg_ONonce V_NB))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 26.41/26.67  (assume a548 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs3 $$unsorted) (V_NA $$unsorted) (V_S $$unsorted) (V_K $$unsorted)) (or (tptp.c_in (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs3 tptp.tc_Event_Oevent) tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_ONonce V_NA)))) (tptp.c_List_Oset V_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_S V_A (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X))))) (tptp.c_List_Oset V_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (= V_A tptp.c_Message_Oagent_OServer) (not (tptp.c_in V_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))))))
% 26.41/26.67  (assume a549 (not (tptp.c_in tptp.c_Message_Oagent_OServer tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 26.41/26.67  (assume a550 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Orev V_xs T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 26.41/26.67  (assume a551 (forall ((V_x $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))))
% 26.41/26.67  (assume a552 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))))
% 26.41/26.67  (assume a553 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a554 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a))))
% 26.41/26.67  (assume a555 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Orev (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a))))
% 26.41/26.67  (assume a556 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_P $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a) T_a)))))
% 26.41/26.67  (assume a557 (forall ((V_msg1_H $$unsorted) (V_msg2_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H) (tptp.c_Message_Omsg_OKey V_nat)))))
% 26.41/26.67  (assume a558 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a))))
% 26.41/26.67  (assume a559 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Message_Omsg_OKey V_nat) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H)))))
% 26.41/26.67  (assume a560 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.hAPP tptp.c_Public_OshrK V_x) (tptp.hAPP tptp.c_Public_OshrK V_y))) (= V_x V_y))))
% 26.41/26.67  (assume a561 (forall ((T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 26.41/26.67  (assume a562 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orev (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Orev V_ys T_a) (tptp.c_List_Orev V_xs T_a) T_a))))
% 26.41/26.67  (assume a563 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a) T_a)))))
% 26.41/26.67  (assume a564 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 26.41/26.67  (assume a565 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a566 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (assume a567 (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 26.41/26.67  (assume a568 (not (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 26.41/26.67  (assume a569 (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent)))
% 26.41/26.67  (assume a570 (not (= tptp.v_Aa tptp.c_Message_Oagent_OServer)))
% 26.41/26.67  (assume a571 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 26.41/26.67  (assume a572 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_Aa tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_ONonce tptp.v_NA)))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 26.41/26.67  (assume a573 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))
% 26.41/26.67  (assume a574 (= tptp.v_B tptp.v_Aa))
% 26.41/26.67  (assume a575 (= tptp.v_A tptp.v_Ba))
% 26.41/26.67  (assume a576 (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) tptp.v_X))
% 26.41/26.67  (assume a577 (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_OtakeWhile (tptp.c_COMBB tptp.c_Not (tptp.c_COMBC (tptp.c_fequal tptp.tc_Event_Oevent) (tptp.c_Event_Oevent_OSays tptp.v_Aa tptp.v_Ba tptp.v_X) tptp.tc_Event_Oevent tptp.tc_Event_Oevent tptp.tc_bool) tptp.tc_bool tptp.tc_bool tptp.tc_Event_Oevent) (tptp.c_List_Oappend (tptp.c_List_Orev tptp.v_evs3 tptp.tc_Event_Oevent) (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.v_Aa tptp.v_Ba tptp.v_X) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))
% 26.41/26.67  (assume a578 (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_OtakeWhile (tptp.c_COMBB tptp.c_Not (tptp.c_COMBC (tptp.c_fequal tptp.tc_Event_Oevent) (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))) tptp.tc_Event_Oevent tptp.tc_Event_Oevent tptp.tc_bool) tptp.tc_bool tptp.tc_bool tptp.tc_Event_Oevent) (tptp.c_List_Orev tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 26.41/26.67  (assume a579 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Oupper__semilattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 26.41/26.67  (assume a580 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Obounded__lattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Obounded__lattice T_1)))))
% 26.41/26.67  (assume a581 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 26.41/26.67  (assume a582 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Lattices_Olattice (tptp.tc_fun T_2 T_1)) (not (tptp.class_Lattices_Olattice T_1)))))
% 26.41/26.67  (assume a583 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 26.41/26.67  (assume a584 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Otop (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Otop T_1)))))
% 26.41/26.67  (assume a585 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Obot (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Obot T_1)))))
% 26.41/26.67  (assume a586 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))))
% 26.41/26.67  (assume a587 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat))
% 26.41/26.67  (assume a588 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 26.41/26.67  (assume a589 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 26.41/26.67  (assume a590 (tptp.class_Lattices_Olattice tptp.tc_nat))
% 26.41/26.67  (assume a591 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 26.41/26.67  (assume a592 (tptp.class_Orderings_Obot tptp.tc_nat))
% 26.41/26.67  (assume a593 (tptp.class_HOL_Oord tptp.tc_nat))
% 26.41/26.67  (assume a594 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool))
% 26.41/26.67  (assume a595 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool))
% 26.41/26.67  (assume a596 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 26.41/26.67  (assume a597 (tptp.class_Lattices_Olattice tptp.tc_bool))
% 26.41/26.67  (assume a598 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 26.41/26.67  (assume a599 (tptp.class_Orderings_Otop tptp.tc_bool))
% 26.41/26.67  (assume a600 (tptp.class_Orderings_Obot tptp.tc_bool))
% 26.41/26.67  (assume a601 (tptp.class_HOL_Oord tptp.tc_bool))
% 26.41/26.67  (assume a602 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_c $$unsorted) (T_a $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBC V_P V_Q T_b T_c T_a) V_R) (tptp.hAPP (tptp.hAPP V_P V_R) V_Q))))
% 26.41/26.67  (assume a603 (forall ((V_P $$unsorted) (V_Q $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (T_c $$unsorted) (V_R $$unsorted)) (= (tptp.hAPP (tptp.c_COMBB V_P V_Q T_b T_a T_c) V_R) (tptp.hAPP V_P (tptp.hAPP V_Q V_R)))))
% 26.41/26.67  (assume a604 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_x) V_x))))
% 26.41/26.67  (assume a605 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_X) V_Y))))))
% 26.41/26.67  (step t1 (cl (=> (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))))) :rule implies_neg1)
% 26.41/26.67  (anchor :step t2)
% 26.41/26.67  (assume t2.a0 (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))))
% 26.41/26.67  (step t2.t1 (cl (or (not (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule forall_inst :args ((:= V_nat tptp.v_Nb) (:= V_msg1_H (tptp.c_Message_Omsg_OKey tptp.v_Ka)) (:= V_msg2_H (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))
% 26.41/26.67  (step t2.t2 (cl (not (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule or :premises (t2.t1))
% 26.41/26.67  (step t2.t3 (cl (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule resolution :premises (t2.t2 t2.a0))
% 26.41/26.67  (step t2 (cl (not (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule subproof :discharge (t2.a0))
% 26.41/26.67  (step t3 (cl (=> (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule resolution :premises (t1 t2))
% 26.41/26.67  (step t4 (cl (=> (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (not (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule implies_neg2)
% 26.41/26.67  (step t5 (cl (=> (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (=> (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule resolution :premises (t3 t4))
% 26.41/26.67  (step t6 (cl (=> (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H)))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule contraction :premises (t5))
% 26.41/26.67  (step t7 (cl (not (forall ((V_nat $$unsorted) (V_msg1_H $$unsorted) (V_msg2_H $$unsorted)) (not (= (tptp.c_Message_Omsg_ONonce V_nat) (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H))))) (not (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule implies :premises (t6))
% 26.41/26.67  (step t8 (cl (not (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) :rule or_pos)
% 26.41/26.67  (step t9 (cl (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))) (not (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule reordering :premises (t8))
% 26.41/26.67  (step t10 (cl (not (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule or_pos)
% 26.41/26.67  (step t11 (cl (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))))) :rule reordering :premises (t10))
% 26.41/26.67  (step t12 (cl (not (= (not (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent)))) (not (not (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) (not (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule equiv_pos2)
% 26.41/26.67  (step t13 (cl (and (= tptp.v_X (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))) (= tptp.v_A tptp.v_Ba) (= tptp.v_B tptp.v_Aa)) (not (= tptp.v_X (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))) (not (= tptp.v_A tptp.v_Ba)) (not (= tptp.v_B tptp.v_Aa))) :rule and_neg)
% 26.41/26.67  (step t14 (cl (= tptp.v_X (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))) :rule symm :premises (a576))
% 26.41/26.67  (step t15 (cl (and (= tptp.v_X (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))) (= tptp.v_A tptp.v_Ba) (= tptp.v_B tptp.v_Aa))) :rule resolution :premises (t13 t14 a575 a574))
% 26.41/26.67  (step t16 (cl (= tptp.v_B tptp.v_Aa)) :rule and :premises (t15))
% 26.41/26.67  (step t17 (cl (= tptp.c_Event_Obad tptp.c_Event_Obad)) :rule refl)
% 26.41/26.67  (step t18 (cl (= tptp.tc_Message_Oagent tptp.tc_Message_Oagent)) :rule refl)
% 26.41/26.67  (step t19 (cl (= (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule cong :premises (t16 t17 t18))
% 26.41/26.67  (step t20 (cl (= (not (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent)))) :rule cong :premises (t19))
% 26.41/26.67  (step t21 (cl (not (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule resolution :premises (t12 t20 a568))
% 26.41/26.67  (step t22 (cl (not (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule or_pos)
% 26.41/26.67  (step t23 (cl (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule reordering :premises (t22))
% 26.41/26.67  (step t24 (cl (not (= (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) :rule equiv_pos2)
% 26.41/26.67  (step t25 (cl (= tptp.v_S tptp.v_S)) :rule refl)
% 26.41/26.67  (step t26 (cl (= tptp.v_Aa tptp.v_Aa)) :rule refl)
% 26.41/26.67  (step t27 (cl (= (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa))) :rule refl)
% 26.41/26.67  (step t28 (cl (= (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NA))) :rule refl)
% 26.41/26.67  (step t29 (cl (= (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OAgent tptp.v_Ba))) :rule refl)
% 26.41/26.67  (step t30 (cl (= (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OKey tptp.v_Ka))) :rule refl)
% 26.41/26.67  (step t31 (cl (= tptp.v_X (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))) :rule and :premises (t15))
% 26.41/26.67  (step t32 (cl (= (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))) :rule cong :premises (t30 t31))
% 26.41/26.67  (step t33 (cl (= (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X)) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) :rule cong :premises (t29 t32))
% 26.41/26.67  (step t34 (cl (= (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X))) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) :rule cong :premises (t28 t33))
% 26.41/26.67  (step t35 (cl (= (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X)))) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))))) :rule cong :premises (t27 t34))
% 26.41/26.67  (step t36 (cl (= (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X))))) (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))))) :rule cong :premises (t25 t26 t35))
% 26.41/26.67  (step t37 (cl (= (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent))) :rule refl)
% 26.41/26.67  (step t38 (cl (= tptp.tc_Event_Oevent tptp.tc_Event_Oevent)) :rule refl)
% 26.41/26.67  (step t39 (cl (= (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule cong :premises (t36 t37 t38))
% 26.41/26.67  (step t40 (cl (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) :rule resolution :premises (t24 t39 a571))
% 26.41/26.67  (step t41 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule implies_neg1)
% 26.41/26.67  (anchor :step t42)
% 26.41/26.67  (assume t42.a0 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 26.41/26.67  (step t42.t1 (cl (or (not (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (:= V_evs tptp.v_evs3) (:= V_A tptp.v_S) (:= V_B tptp.v_Aa)))
% 26.41/26.67  (step t42.t2 (cl (not (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule or :premises (t42.t1))
% 26.41/26.67  (step t42.t3 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t42.t2 t42.a0))
% 26.41/26.67  (step t42 (cl (not (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule subproof :discharge (t42.a0))
% 26.41/26.67  (step t43 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t41 t42))
% 26.41/26.67  (step t44 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (not (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule implies_neg2)
% 26.41/26.67  (step t45 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule resolution :premises (t43 t44))
% 26.41/26.67  (step t46 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule contraction :premises (t45))
% 26.41/26.67  (step t47 (cl (not (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies :premises (t46))
% 26.41/26.67  (step t48 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_Aa (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t47 a430))
% 26.41/26.67  (step t49 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t23 t40 t48))
% 26.41/26.67  (step t50 (cl (=> (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 26.41/26.67  (anchor :step t51)
% 26.41/26.67  (assume t51.a0 (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))))
% 26.41/26.67  (step t51.t1 (cl (or (not (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb))) (:= V_B tptp.v_Ba) (:= V_K tptp.v_Ka) (:= V_A tptp.v_Aa) (:= V_evs tptp.v_evs3) (:= V_NA (tptp.c_Message_Omsg_ONonce tptp.v_NA))))
% 26.41/26.67  (step t51.t2 (cl (not (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule or :premises (t51.t1))
% 26.41/26.67  (step t51.t3 (cl (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t51.t2 t51.a0))
% 26.41/26.67  (step t51 (cl (not (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t51.a0))
% 26.41/26.67  (step t52 (cl (=> (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t50 t51))
% 26.41/26.67  (step t53 (cl (=> (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) (not (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 26.41/26.67  (step t54 (cl (=> (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) (=> (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t52 t53))
% 26.41/26.67  (step t55 (cl (=> (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))))) :rule contraction :premises (t54))
% 26.41/26.67  (step t56 (cl (not (forall ((V_X $$unsorted) (V_B $$unsorted) (V_K $$unsorted) (V_A $$unsorted) (V_evs $$unsorted) (V_NA $$unsorted)) (or (= V_X (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Omsg_OAgent V_A)))) (not (tptp.c_in V_evs tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey V_K) V_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule implies :premises (t55))
% 26.41/26.67  (step t57 (cl (or (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) (not (tptp.c_in tptp.v_evs3 tptp.c_NS__Shared__Mirabelle_Ons__shared (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t56 a490))
% 26.41/26.67  (step t58 (cl (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule resolution :premises (t11 t21 a569 t49 t57))
% 26.41/26.67  (step t59 (cl (=> (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H)))) :rule implies_neg1)
% 26.41/26.67  (anchor :step t60)
% 26.41/26.67  (assume t60.a0 (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))))
% 26.41/26.67  (step t60.t1 (cl (or (not (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H)))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule forall_inst :args ((:= V_nat tptp.v_K) (:= V_msg (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (:= V_nat_H (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba)) (:= V_msg_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))
% 26.41/26.67  (step t60.t2 (cl (not (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H)))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule or :premises (t60.t1))
% 26.41/26.67  (step t60.t3 (cl (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule resolution :premises (t60.t2 t60.a0))
% 26.41/26.67  (step t60 (cl (not (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H)))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule subproof :discharge (t60.a0))
% 26.41/26.67  (step t61 (cl (=> (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule resolution :premises (t59 t60))
% 26.41/26.67  (step t62 (cl (=> (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (not (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule implies_neg2)
% 26.41/26.67  (step t63 (cl (=> (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (=> (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule resolution :premises (t61 t62))
% 26.41/26.67  (step t64 (cl (=> (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))))) :rule contraction :premises (t63))
% 26.41/26.67  (step t65 (cl (not (forall ((V_nat $$unsorted) (V_msg $$unsorted) (V_nat_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Message_Omsg_OCrypt V_nat V_msg) (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H))) (= V_msg V_msg_H)))) (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule implies :premises (t64))
% 26.41/26.67  (step t66 (cl (or (not (= (tptp.c_Message_Omsg_OCrypt tptp.v_K (tptp.c_Message_Omsg_ONonce tptp.v_Nb)) (tptp.c_Message_Omsg_OCrypt (tptp.hAPP tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa))))) :rule resolution :premises (t65 a523))
% 26.41/26.67  (step t67 (cl (= (tptp.c_Message_Omsg_ONonce tptp.v_Nb) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey tptp.v_Ka) (tptp.c_Message_Omsg_OAgent tptp.v_Aa)))) :rule resolution :premises (t9 t58 t66))
% 26.41/26.67  (step t68 (cl) :rule resolution :premises (t7 t67 a506))
% 26.41/26.67  
% 26.41/26.67  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.zIvQ33AFPO/cvc5---1.0.5_9852.smt2
% 26.41/26.68  % cvc5---1.0.5 exiting
% 26.41/26.68  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------