TSTP Solution File: SWV721-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV721-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 18:15:56 EDT 2024
% Result : Unsatisfiable 22.36s 22.57s
% Output : Proof 22.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16 % Problem : SWV721-1 : TPTP v8.2.0. Released v4.1.0.
% 0.07/0.17 % Command : do_cvc5 %s %d
% 0.16/0.38 % Computer : n016.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sun May 26 22:07:09 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.34/0.63 %----Proving TF0_NAR, FOF, or CNF
% 0.47/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.51/10.75 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.55/15.81 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.68/20.88 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.36/22.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.XLm6i6FOuD/cvc5---1.0.5_13451.smt2
% 22.36/22.57 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.XLm6i6FOuD/cvc5---1.0.5_13451.smt2
% 22.36/22.58 (assume a0 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A))) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a1 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a2 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a3 (forall ((V_c $$unsorted) (V_A_H $$unsorted) (V_b $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Public_OpublicKey V_c V_A_H) (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A))))))
% 22.36/22.58 (assume a4 (forall ((V_b $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_C)) (tptp.c_Public_OshrK V_A)))))
% 22.36/22.58 (assume a5 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_C $$unsorted)) (not (= (tptp.c_Public_OshrK V_A) (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_C))))))
% 22.36/22.58 (assume a6 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_C $$unsorted)) (not (= (tptp.c_Public_OshrK V_A) (tptp.c_Public_OpublicKey V_b V_C)))))
% 22.36/22.58 (assume a7 (forall ((V_K $$unsorted)) (= (tptp.c_Message_OinvKey (tptp.c_Message_OinvKey V_K)) V_K)))
% 22.36/22.58 (assume a8 (forall ((V_b $$unsorted) (V_C $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Public_OpublicKey V_b V_C) (tptp.c_Public_OshrK V_A)))))
% 22.36/22.58 (assume a9 (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))))
% 22.36/22.58 (assume a10 (forall ((V_A $$unsorted)) (= (tptp.c_Message_OinvKey (tptp.c_Public_OshrK V_A)) (tptp.c_Public_OshrK V_A))))
% 22.36/22.58 (assume a11 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (not (= (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Public_OpublicKey V_c V_A_H)))))
% 22.36/22.58 (assume a12 (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Public_OshrK V_x) (tptp.c_Public_OshrK V_y))) (= V_x V_y))))
% 22.36/22.58 (assume a13 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a14 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a15 (forall ((V_B $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_B)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a16 (forall ((V_A $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_OinitState V_A) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a17 (forall ((V_b $$unsorted) (V_A $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A))) (tptp.c_Event_OinitState V_A) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a18 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a19 (forall ((V_K $$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)))))
% 22.36/22.58 (assume a20 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a21 (forall ((V_K $$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)))))
% 22.36/22.58 (assume a22 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a23 (forall ((V_K $$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)))))
% 22.36/22.58 (assume a24 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (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)))))
% 22.36/22.58 (assume a25 (forall ((V_B $$unsorted) (V_X $$unsorted) (V_evsf $$unsorted)) (or (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OSpy V_B V_X) V_evsf tptp.tc_Event_Oevent)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evsf))) tptp.tc_Message_Omsg)) (not (tptp.c_NS__Shared__Mirabelle_Ons__sharedp V_evsf)))))
% 22.36/22.58 (assume a26 (forall ((V_X $$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.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)))))
% 22.36/22.58 (assume a27 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey (tptp.c_Public_OpublicKey V_b V_A))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))))
% 22.36/22.58 (assume a28 (forall ((V_x $$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))))
% 22.36/22.58 (assume a29 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Osko__Message__Xparts__singleton__1__1 V_H 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 V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a30 (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))))
% 22.36/22.58 (assume a31 (forall ((V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))) (= V_a V_b))))
% 22.36/22.58 (assume a32 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Ofilter V_P V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a33 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (tptp.c_lessequals V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 22.36/22.58 (assume a34 (forall ((T_a $$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))))
% 22.36/22.58 (assume a35 (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)))))
% 22.36/22.58 (assume a36 (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)))))
% 22.36/22.58 (assume a37 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (tptp.c_lessequals V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a))))
% 22.36/22.58 (assume a38 (forall ((T_a $$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))))
% 22.36/22.58 (assume a39 (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)))))
% 22.36/22.58 (assume a40 (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))))))
% 22.36/22.58 (assume a41 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a42 (forall ((V_B $$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))))
% 22.36/22.58 (assume a43 (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))))))
% 22.36/22.58 (assume a44 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 22.36/22.58 (assume a45 (forall ((V_H $$unsorted) (V_H_H $$unsorted) (V_G $$unsorted) (V_G_H $$unsorted)) (or (not (= (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Oanalz V_H_H))) (not (= (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_G_H))) (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G_H V_H_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))))
% 22.36/22.58 (assume a46 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 22.36/22.58 (assume a47 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 22.36/22.58 (assume a48 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)))))
% 22.36/22.58 (assume a49 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_z T_a) T_a)))))
% 22.36/22.58 (assume a50 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_z T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_z T_a) T_a)))))
% 22.36/22.58 (assume a51 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 22.36/22.58 (assume a52 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)))))
% 22.36/22.58 (assume a53 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Obutlast V_xs T_a) T_a) (tptp.c_List_Obutlast (tptp.c_List_Odrop V_n V_xs T_a) T_a))))
% 22.36/22.58 (assume a54 (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))))))
% 22.36/22.58 (assume a55 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Ofilter V_P V_ys T_a))) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 22.36/22.58 (assume a56 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 22.36/22.58 (assume a57 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 22.36/22.58 (assume a58 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a59 (forall ((V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_xa (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_xa (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))))
% 22.36/22.58 (assume a60 (forall ((V_x $$unsorted) (V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OremoveAll V_x (tptp.c_List_Ofilter V_P V_xs T_a) T_a) (tptp.c_List_Ofilter V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 22.36/22.58 (assume a61 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a62 (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)))))
% 22.36/22.58 (assume a63 (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))))))
% 22.36/22.58 (assume a64 (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))))))
% 22.36/22.58 (assume a65 (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))))
% 22.36/22.58 (assume a66 (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))))
% 22.36/22.58 (assume a67 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))))
% 22.36/22.58 (assume a68 (forall ((V_H $$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)))))
% 22.36/22.58 (assume a69 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (or (not (= (tptp.c_Public_OpublicKey V_b V_A) (tptp.c_Public_OpublicKey V_c V_A_H))) (= V_b V_c))))
% 22.36/22.58 (assume a70 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_c $$unsorted) (V_A_H $$unsorted)) (or (not (= (tptp.c_Public_OpublicKey V_b V_A) (tptp.c_Public_OpublicKey V_c V_A_H))) (= V_A V_A_H))))
% 22.36/22.58 (assume a71 (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))))
% 22.36/22.58 (assume a72 (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))))
% 22.36/22.58 (assume a73 (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)))
% 22.36/22.58 (assume a74 (forall ((V_n $$unsorted) (V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n (tptp.c_List_Omap V_f V_xs T_b T_a) T_a) (tptp.c_List_Omap V_f (tptp.c_List_Otake V_n V_xs T_b) T_b T_a))))
% 22.36/22.58 (assume a75 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Ofilter V_P V_xs T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 22.36/22.58 (assume a76 (forall ((V_b $$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)))))
% 22.36/22.58 (assume a77 (forall ((V_c $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a78 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a79 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_b V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a80 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a81 (forall ((V_m $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oreplicate V_m V_x T_a) (tptp.c_List_Oreplicate V_n V_y T_a))) (= V_m V_n))))
% 22.36/22.58 (assume a82 (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)))))
% 22.36/22.58 (assume a83 (forall ((V_P $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Ofilter V_P V_ys T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a))) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 22.36/22.58 (assume a84 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_C $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert V_a V_B T_a) V_C (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_C (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 22.36/22.58 (assume a85 (forall ((V_A $$unsorted) (V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 22.36/22.58 (assume a86 (forall ((V_Y $$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)))))
% 22.36/22.58 (assume a87 (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))))))
% 22.36/22.58 (assume a88 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (not (tptp.c_in V_Y (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a89 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a90 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Obot T_a)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a))))
% 22.36/22.58 (assume a91 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Event_OinitState V_A) (tptp.c_Event_Oknows V_A V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a92 (forall ((V_a $$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))))))
% 22.36/22.58 (assume a93 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Otake V_n V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a94 (forall ((V_f $$unsorted) (V_n $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Oreplicate V_n V_x T_b) T_b T_a) (tptp.c_List_Oreplicate V_n (tptp.hAPP V_f V_x) T_a))))
% 22.36/22.58 (assume a95 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Set_Oinsert V_x V_A T_a))))
% 22.36/22.58 (assume a96 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x))))))
% 22.36/22.58 (assume a97 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a98 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth V_G) V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Message_Osynth V_G) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 22.36/22.58 (assume a99 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_List_OListMem V_x (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))
% 22.36/22.58 (assume a100 (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))))
% 22.36/22.58 (assume a101 (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a102 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__ex V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 22.36/22.58 (assume a103 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a104 (forall ((V_A $$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)))))
% 22.36/22.58 (assume a105 (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))))
% 22.36/22.58 (assume a106 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OremoveAll V_x (tptp.c_List_Olist_OCons V_y V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_y (tptp.c_List_OremoveAll V_x V_xs T_a) T_a)) (= V_x V_y))))
% 22.36/22.58 (assume a107 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__ex V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.c_List_Olist__ex V_P V_xs T_a)))))
% 22.36/22.58 (assume a108 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Olist__ex V_P V_xs T_a) (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_List_Olist__ex V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 22.36/22.58 (assume a109 (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))))))
% 22.36/22.58 (assume a110 (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))))))
% 22.36/22.58 (assume a111 (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))))))
% 22.36/22.58 (assume a112 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Oreplicate V_n V_x T_a) T_a) (tptp.c_List_Oreplicate V_n V_x T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 22.36/22.58 (assume a113 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Olist_OCons V_y V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Oremove1 V_x V_xs T_a) T_a)) (= V_x V_y))))
% 22.36/22.58 (assume a114 (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)))))
% 22.36/22.58 (assume a115 (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)))))
% 22.36/22.58 (assume a116 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a117 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Olist_OCons V_x V_xa T_b) T_b T_a) (tptp.c_List_Olist_OCons (tptp.hAPP V_f V_x) (tptp.c_List_Omap V_f V_xa T_b T_a) T_a))))
% 22.36/22.58 (assume a118 (forall ((V_f $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons (tptp.hAPP V_f V_xa) (tptp.c_List_Omap V_f V_xb T_b T_a) T_a) (tptp.c_List_Omap V_f (tptp.c_List_Olist_OCons V_xa V_xb T_b) T_b T_a))))
% 22.36/22.58 (assume a119 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Olist_OCons V_x V_xs T_b) T_b T_a) (tptp.c_List_Olist_OCons (tptp.hAPP V_f V_x) (tptp.c_List_Omap V_f V_xs T_b T_a) T_a))))
% 22.36/22.58 (assume a120 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_xs)))
% 22.36/22.58 (assume a121 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a122 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 22.36/22.58 (assume a123 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oanalz V_H)) (not (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a124 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 22.36/22.58 (assume a125 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_in V_x V_A T_a) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a126 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 22.36/22.58 (assume a127 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))) (tptp.c_in V_x V_A T_a))))
% 22.36/22.58 (assume a128 (forall ((V_A $$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))))
% 22.36/22.58 (assume a129 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a130 (forall ((V_A $$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))))))
% 22.36/22.58 (assume a131 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)))) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a132 (forall ((T_a $$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)))))
% 22.36/22.58 (assume a133 (forall ((T_a $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B T_a) (tptp.c_Orderings_Obot__class_Obot T_a))) (= V_B (tptp.c_Orderings_Obot__class_Obot T_a)))))
% 22.36/22.58 (assume a134 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Event_OinitState V_B) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a135 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a136 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Odrop V_n V_xs T_a) T_a) (tptp.c_List_Odrop V_n (tptp.c_List_Obutlast V_xs T_a) T_a))))
% 22.36/22.58 (assume a137 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_B V_A (tptp.tc_fun T_a tptp.tc_bool)))))
% 22.36/22.58 (assume a138 (forall ((T_a $$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)))))
% 22.36/22.58 (assume a139 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_y V_x T_a)))))
% 22.36/22.58 (assume a140 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals V_H V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a141 (forall ((V_K $$unsorted) (V_G $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals V_H V_G (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a142 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OtakeWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 22.36/22.58 (assume a143 (forall ((V_a $$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)))))
% 22.36/22.58 (assume a144 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)))))
% 22.36/22.58 (assume a145 (forall ((T_a $$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)))))
% 22.36/22.58 (assume a146 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Olattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) T_a) (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a)))))
% 22.36/22.58 (assume a147 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Olist__all V_P V_xs T_a) (not (tptp.c_List_Olist__all V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 22.36/22.58 (assume a148 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Osynth (tptp.c_Message_Osynth V_H)) (tptp.c_Message_Osynth V_H))))
% 22.36/22.58 (assume a149 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Osynth V_H)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oanalz V_H) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 22.36/22.58 (assume a150 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_List_Olist__all V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 22.36/22.58 (assume a151 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Oremove1 V_x V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a152 (forall ((V_x $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))))
% 22.36/22.58 (assume a153 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))))
% 22.36/22.58 (assume a154 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_a V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_G) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a155 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_G)) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 22.36/22.58 (assume a156 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H))) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a157 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_OListMem V_x (tptp.c_List_Olist_OCons V_y V_xs T_a) T_a) (not (tptp.c_List_OListMem V_x V_xs T_a)))))
% 22.36/22.58 (assume a158 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_Y $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a159 (forall ((V_H $$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))))
% 22.36/22.58 (assume a160 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))))
% 22.36/22.58 (assume a161 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_A T_a) T_a) (not (tptp.c_in V_a V_A T_a)))))
% 22.36/22.58 (assume a162 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_Set_Oinsert V_b V_B T_a) T_a) (not (tptp.c_in V_a V_B T_a)))))
% 22.36/22.58 (assume a163 (forall ((V_t $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_t V_B T_a) (not (tptp.c_in V_t V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a164 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_A T_a)))))
% 22.36/22.58 (assume a165 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_c V_B T_a) (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a166 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_x V_B T_a) (not (tptp.c_in V_x V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a167 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_A T_a)))))
% 22.36/22.58 (assume a168 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) T_a) (not (tptp.c_in V_c V_B T_a)))))
% 22.36/22.58 (assume a169 (forall ((V_x $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a))))
% 22.36/22.58 (assume a170 (forall ((V_P $$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)))))
% 22.36/22.58 (assume a171 (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))))
% 22.36/22.58 (assume a172 (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))))
% 22.36/22.58 (assume a173 (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)))))
% 22.36/22.58 (assume a174 (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)))))
% 22.36/22.58 (assume a175 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a)))
% 22.36/22.58 (assume a176 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_a (tptp.c_Set_Oinsert V_a V_B T_a) T_a)))
% 22.36/22.58 (assume a177 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_Set_Oinsert V_x V_B T_a) T_a)))
% 22.36/22.58 (assume a178 (forall ((V_P $$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)))))
% 22.36/22.58 (assume a179 (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))))
% 22.36/22.58 (assume a180 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Set_Oinsert V_a V_A T_a) V_A) (not (tptp.c_in V_a V_A T_a)))))
% 22.36/22.58 (assume a181 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a182 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a183 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a184 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Osynth V_H)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a185 (forall ((V_Y $$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)))))
% 22.36/22.58 (assume a186 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a187 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a188 (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)))))
% 22.36/22.58 (assume a189 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_OinitState V_B)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a190 (forall ((V_nat $$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)))))
% 22.36/22.58 (assume a191 (forall ((V_msg1_H $$unsorted) (V_msg2_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OMPair V_msg1_H V_msg2_H) (tptp.c_Message_Omsg_OKey V_nat)))))
% 22.36/22.58 (assume a192 (forall ((V_K $$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))))
% 22.36/22.58 (assume a193 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a194 (forall ((V_K $$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)))))
% 22.36/22.58 (assume a195 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a196 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))
% 22.36/22.58 (assume a197 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Oparts V_H)) (tptp.c_Message_Oparts V_H))))
% 22.36/22.58 (assume a198 (forall ((V_G $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 22.36/22.58 (assume a199 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a200 (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))))))
% 22.36/22.58 (assume a201 (= (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))))
% 22.36/22.58 (assume a202 (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))))))
% 22.36/22.58 (assume a203 (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))))))
% 22.36/22.58 (assume a204 (forall ((V_nat_H $$unsorted) (V_msg_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Message_Omsg_OCrypt V_nat_H V_msg_H) (tptp.c_Message_Omsg_OKey V_nat)))))
% 22.36/22.58 (assume a205 (forall ((V_nat $$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)))))
% 22.36/22.58 (assume a206 (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))))
% 22.36/22.58 (assume a207 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a208 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a209 (forall ((V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 22.36/22.58 (assume a210 (forall ((V_A $$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))))
% 22.36/22.58 (assume a211 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H)))))
% 22.36/22.58 (assume a212 (forall ((V_agent1 $$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)))))
% 22.36/22.58 (assume a213 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H) (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg)))))
% 22.36/22.58 (assume a214 (forall ((V_agent_H $$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)))))
% 22.36/22.58 (assume a215 (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))))
% 22.36/22.58 (assume a216 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A_H V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a217 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x (tptp.c_Orderings_Obot__class_Obot T_a) T_a) V_x))))
% 22.36/22.58 (assume a218 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Lattices_Obounded__lattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Obot__class_Obot T_a) V_x T_a) V_x))))
% 22.36/22.58 (assume a219 (forall ((T_a $$unsorted) (V_B $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_B (tptp.tc_fun T_a tptp.tc_bool)) V_B)))
% 22.36/22.58 (assume a220 (forall ((V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool)) V_A)))
% 22.36/22.58 (assume a221 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_K_H $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K_H) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K_H) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OKey V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a222 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Omember V_x (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a) (not (tptp.c_List_Omember V_x V_ys T_a)))))
% 22.36/22.58 (assume a223 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a224 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a225 (forall ((V_G $$unsorted) (V_H $$unsorted)) (tptp.c_lessequals (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth V_G) (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.c_Message_Osynth (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a226 (forall ((T_a $$unsorted) (V_x $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) V_x)))))
% 22.36/22.58 (assume a227 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 22.36/22.58 (assume a228 (forall ((V_G $$unsorted) (V_H $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oanalz V_G) (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_lessequals V_G (tptp.c_Message_Oanalz V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))))
% 22.36/22.58 (assume a229 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_msg V_msg_H))))
% 22.36/22.58 (assume a230 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_agent V_agent_H))))
% 22.36/22.58 (assume a231 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a232 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a233 (forall ((V_A $$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))))))
% 22.36/22.58 (assume a234 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 22.36/22.58 (assume a235 (forall ((T_a $$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)))))
% 22.36/22.58 (assume a236 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 22.36/22.58 (assume a237 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_ONotes V_agent_H V_msg_H)))))
% 22.36/22.58 (assume a238 (forall ((V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (tptp.c_List_Omember V_x (tptp.c_List_Olist_OCons V_x V_ys T_a) T_a)))
% 22.36/22.58 (assume a239 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_x) (not (tptp.c_lessequals V_y V_x T_a)))))
% 22.36/22.58 (assume a240 (forall ((T_a $$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))))
% 22.36/22.58 (assume a241 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Lattices_Oupper__semilattice T_a)) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_x V_y T_a) V_y) (not (tptp.c_lessequals V_x V_y T_a)))))
% 22.36/22.58 (assume a242 (forall ((V_A $$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))))))
% 22.36/22.58 (assume a243 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) V_A) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a244 (forall ((V_A $$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)))))
% 22.36/22.58 (assume a245 (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))))
% 22.36/22.58 (assume a246 (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))))
% 22.36/22.58 (assume a247 (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))))
% 22.36/22.58 (assume a248 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_a V_d) (= V_a V_c))))
% 22.36/22.58 (assume a249 (forall ((V_a $$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))))
% 22.36/22.58 (assume a250 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (= (tptp.c_Set_Oinsert V_a (tptp.c_Set_Oinsert V_b (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a) (tptp.c_Set_Oinsert V_c (tptp.c_Set_Oinsert V_d (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) T_a))) (= V_a V_d) (= V_b V_d))))
% 22.36/22.58 (assume a251 (forall ((V_a $$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))))
% 22.36/22.58 (assume a252 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_OremoveAll V_x (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_OremoveAll V_x V_xs T_a))))
% 22.36/22.58 (assume a253 (forall ((V_x $$unsorted) (V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Ofilter V_P V_xs T_a) T_a) (tptp.c_List_Ofilter V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 22.36/22.58 (assume a254 (tptp.c_in tptp.c_Message_Oagent_OSpy tptp.c_Event_Obad tptp.tc_Message_Oagent))
% 22.36/22.58 (assume a255 (forall ((V_A $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a256 (forall ((T_a $$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))))
% 22.36/22.58 (assume a257 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_A $$unsorted)) (not (= (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) (tptp.c_Set_Oinsert V_a V_A T_a)))))
% 22.36/22.58 (assume a258 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.v_sko__NS__Shared__Mirabelle__XIssues__def__1 V_A V_B V_X V_evs) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_NS__Shared__Mirabelle_OIssues V_A V_B V_X V_evs)))))
% 22.36/22.58 (assume a259 (forall ((V_xs $$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))))
% 22.36/22.58 (assume a260 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a261 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Odrop V_n V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a262 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a263 (forall ((V_A $$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))))))
% 22.36/22.58 (assume a264 (forall ((V_xs $$unsorted) (V_I $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Osublist V_xs V_I T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a265 (= (tptp.c_Message_Oanalz (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a266 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a267 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))))
% 22.36/22.58 (assume a268 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_in V_x V_B T_a)))))
% 22.36/22.58 (assume a269 (forall ((V_K $$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))))
% 22.36/22.58 (assume a270 (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)))))
% 22.36/22.58 (assume a271 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (not (tptp.c_lessequals V_G (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) (not (tptp.c_in V_X (tptp.c_Message_Osynth V_G) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a272 (forall ((V_H $$unsorted)) (tptp.c_lessequals V_H (tptp.c_Message_Osynth V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a273 (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)))))
% 22.36/22.58 (assume a274 (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)))))
% 22.36/22.58 (assume a275 (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)))))
% 22.36/22.58 (assume a276 (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)))))
% 22.36/22.58 (assume a277 (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)))))
% 22.36/22.58 (assume a278 (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)))))
% 22.36/22.58 (assume a279 (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))))))
% 22.36/22.58 (assume a280 (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))))))
% 22.36/22.58 (assume a281 (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)))))
% 22.36/22.58 (assume a282 (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)))))
% 22.36/22.58 (assume a283 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a284 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 22.36/22.58 (assume a285 (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))))))
% 22.36/22.58 (assume a286 (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))))))
% 22.36/22.58 (assume a287 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 22.36/22.58 (assume a288 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 22.36/22.58 (assume a289 (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))))))
% 22.36/22.58 (assume a290 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))))
% 22.36/22.58 (assume a291 (forall ((V_a $$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))))
% 22.36/22.58 (assume a292 (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))))))
% 22.36/22.58 (assume a293 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__all V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.c_List_Olist__all V_P V_xs T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 22.36/22.58 (assume a294 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a295 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_ONotes V_A_H V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 22.36/22.58 (assume a296 (forall ((V_X $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)))))
% 22.36/22.58 (assume a297 (forall ((V_H $$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))))))
% 22.36/22.58 (assume a298 (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)))
% 22.36/22.58 (assume a299 (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))))
% 22.36/22.58 (assume a300 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Oparts V_G) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) (not (tptp.c_in V_X V_G tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a301 (forall ((V_A $$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))))
% 22.36/22.58 (assume a302 (forall ((V_A $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a)) (= V_A (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_x (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun T_a tptp.tc_bool)) T_a) (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a303 (forall ((V_n $$unsorted) (V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Omap V_f V_xs T_b T_a) T_a) (tptp.c_List_Omap V_f (tptp.c_List_Odrop V_n V_xs T_b) T_b T_a))))
% 22.36/22.58 (assume a304 (forall ((V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (or (tptp.c_List_Omember V_x V_ys T_a) (= V_x V_y) (not (tptp.c_List_Omember V_x (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a)))))
% 22.36/22.58 (assume a305 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oanalz (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oanalz V_H))))
% 22.36/22.58 (assume a306 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Ofilter V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 22.36/22.58 (assume a307 (forall ((V_x $$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))))
% 22.36/22.58 (assume a308 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y_H V_x_H T_a) (not (tptp.c_lessequals V_y V_x T_a)))))
% 22.36/22.58 (assume a309 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))))
% 22.36/22.58 (assume a310 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oused (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oused V_evs))))
% 22.36/22.58 (assume a311 (forall ((V_a $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_a V_C T_a) (tptp.c_Set_Oinsert V_a V_D T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_D (tptp.tc_fun T_a tptp.tc_bool))))))
% 22.36/22.58 (assume a312 (forall ((T_a $$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)))))
% 22.36/22.58 (assume a313 (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))))
% 22.36/22.58 (assume a314 (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))))))
% 22.36/22.58 (assume a315 (forall ((V_Z $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Z (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool)) tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a316 (forall ((T_a $$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))))
% 22.36/22.58 (assume a317 (= (tptp.c_HOL_Ominus__class_Ominus tptp.v_A tptp.v_B tptp.tc_bool) (tptp.c_and tptp.v_A (tptp.c_Not tptp.v_B))))
% 22.36/22.58 (assume a318 (forall ((V_H $$unsorted) (V_a $$unsorted)) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.v_sko__Message__Xparts__Xcases__3 V_H V_a) V_a) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.v_sko__Message__Xparts__Xcases__2 V_H V_a) V_a) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_a (tptp.v_sko__Message__Xparts__Xcases__1 V_H V_a)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_in V_a V_H tptp.tc_Message_Omsg) (not (tptp.c_in V_a (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a319 (forall ((V_b $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OpublicKey V_b V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a320 (forall ((V_evs $$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))))
% 22.36/22.58 (assume a321 (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))))
% 22.36/22.58 (assume a322 (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))))
% 22.36/22.58 (assume a323 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_OinitState V_A) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_in (tptp.c_Event_Oevent_OGets V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_in (tptp.c_Event_Oevent_OSays V_A (tptp.c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 V_A V_X V_evs) V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (= V_A tptp.c_Message_Oagent_OSpy) (not (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a324 (forall ((V_X $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_OinitState tptp.c_Message_Oagent_OSpy) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Event_Oevent_ONotes (tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 V_X V_evs) V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1 V_X V_evs) (tptp.c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2 V_X V_evs) V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a325 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a326 (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)))))
% 22.36/22.58 (assume a327 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (not (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 22.36/22.58 (assume a328 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)) (not (tptp.c_List_Olist__all V_P V_xs T_a)))))
% 22.36/22.58 (assume a329 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_xc $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__2 V_P V_xs T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_xc))) (not (tptp.c_in V_xc (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a330 (forall ((V_P $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_xc $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_ys))) (not (tptp.c_in V_ys (tptp.c_List_Oset (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__1 V_P V_xs T_a) T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_xc))) (not (tptp.c_in V_xc (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a331 (forall ((V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_g $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_Omap V_f V_xs T_b T_a) (tptp.c_List_Omap V_g V_xs T_b T_a))) (= (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_b) T_b)))))
% 22.36/22.58 (assume a332 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_a (tptp.c_List_Oset (tptp.c_List_Oremove1 V_b V_xs T_a) T_a) T_a) (not (tptp.c_in V_a (tptp.c_List_Oset V_xs T_a) T_a)) (= V_a V_b))))
% 22.36/22.58 (assume a333 (forall ((V_a $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_in V_a (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_in V_a (tptp.c_List_Oset (tptp.c_List_Oremove1 V_b V_xs T_a) T_a) T_a)) (= V_a V_b))))
% 22.36/22.58 (assume a334 (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)))))
% 22.36/22.58 (assume a335 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Obutlast V_xs T_a) T_a) T_a)))))
% 22.36/22.58 (assume a336 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Olist__ex V_P V_xs T_a) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a337 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Omember V_x V_xs T_a) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a338 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_List_Omember V_x V_xs T_a)))))
% 22.36/22.58 (assume a339 (forall ((V_P $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_ys))) (not (tptp.c_in V_ys (tptp.c_List_Oset (tptp.c_List_Osko__List__Xsplit__list__first__prop__1__1 V_P V_xs T_a) T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a340 (forall ((V_P $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_xc $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_ys))) (not (tptp.c_in V_ys (tptp.c_List_Oset (tptp.c_List_Osko__List__Xsplit__list__last__prop__iff__1__3 V_P V_xs T_a) T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_xc))) (not (tptp.c_in V_xc (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a341 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__first__prop__1__2 V_P V_xs T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a342 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Osko__List__Xsplit__list__first__1__1 V_x V_xs T_a) T_a) T_a)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a343 (forall ((V_P $$unsorted) (V_xa $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_xa))) (not (tptp.c_in V_xa (tptp.c_List_Oset (tptp.c_List_Osko__List__Xsplit__list__last__propE__1__3 V_P V_xs T_a) T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a344 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__last__propE__1__2 V_P V_xs T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a345 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Osko__List__Xin__set__conv__decomp__first__1__1 V_x V_xs T_a) T_a) T_a)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a346 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Osko__List__Xin__set__conv__decomp__last__1__2 V_x V_xs T_a) T_a) T_a)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a347 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_n $$unsorted) (T_a $$unsorted)) (or (= V_x V_y) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oreplicate V_n V_y T_a) T_a) T_a)))))
% 22.36/22.58 (assume a348 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__first__propE__1__2 V_P V_xs T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a349 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)) (not (tptp.c_List_Olistsp V_A V_xs T_a)))))
% 22.36/22.58 (assume a350 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Oremove1 V_y V_xs T_a) T_a) T_a)) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 22.36/22.58 (assume a351 (forall ((V_P $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_ys))) (not (tptp.c_in V_ys (tptp.c_List_Oset (tptp.c_List_Osko__List__Xsplit__list__last__prop__1__3 V_P V_xs T_a) T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a352 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OremoveAll V_x V_xs T_a) V_xs) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 22.36/22.58 (assume a353 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_OListMem V_x V_xs T_a) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a354 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_List_OListMem V_x V_xs T_a)))))
% 22.36/22.58 (assume a355 (forall ((V_x $$unsorted) (V_xs $$unsorted) (V_I $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Osublist V_xs V_I T_a) T_a) T_a)) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 22.36/22.58 (assume a356 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_I $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Osublist V_xs V_I T_a) T_a) T_a)))))
% 22.36/22.58 (assume a357 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__propE__1__2 V_P V_xs T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a358 (forall ((V_P $$unsorted) (V_xa $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P V_xa))) (not (tptp.c_in V_xa (tptp.c_List_Oset (tptp.c_List_Osko__List__Xsplit__list__first__propE__1__1 V_P V_xs T_a) T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a359 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_Ofilter 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)))))
% 22.36/22.58 (assume a360 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Osko__List__Xsplit__list__last__1__2 V_x V_xs T_a) T_a) T_a)) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a361 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Otake V_n V_xs T_a) T_a) T_a)))))
% 22.36/22.58 (assume a362 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_xc $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__first__prop__iff__1__2 V_P V_xs T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_xc))) (not (tptp.c_in V_xc (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a363 (forall ((V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_in V_y (tptp.c_List_Oset V_xs T_a) T_a) (= V_y V_x) (not (tptp.c_in V_y (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) T_a)))))
% 22.36/22.58 (assume a364 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_Odrop V_n V_xs T_a) T_a) T_a)))))
% 22.36/22.58 (assume a365 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_P $$unsorted)) (or (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a) T_a)))))
% 22.36/22.58 (assume a366 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__last__prop__1__2 V_P V_xs T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a367 (forall ((V_f $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (= (tptp.c_Map_Omap__upds V_f V_xs V_ys V_x T_a T_b) (tptp.hAPP V_f V_x)) (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 22.36/22.58 (assume a368 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_in V_x (tptp.c_List_Oset (tptp.c_List_OtakeWhile V_P V_xs T_a) T_a) T_a)))))
% 22.36/22.58 (assume a369 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Osko__List__Xsplit__list__prop__1__2 V_P V_xs T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_in V_x (tptp.c_List_Oset V_xs T_a) T_a)))))
% 22.36/22.58 (assume a370 (forall ((V_Y $$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)))))
% 22.36/22.58 (assume a371 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a372 (forall ((V_Y $$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)))))
% 22.36/22.58 (assume a373 (forall ((V_X $$unsorted) (V_H $$unsorted) (V_Y $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Event_Oused V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a374 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a375 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a376 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a377 (forall ((V_c $$unsorted) (V_a $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_a V_G tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a378 (forall ((V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in (tptp.c_Message_Osko__Message__Xparts__singleton__1__1 V_H V_X) V_H tptp.tc_Message_Omsg) (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a379 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X V_H tptp.tc_Message_Omsg)) (tptp.c_Message_Oparts V_H)) (not (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a380 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a381 (forall ((V_c $$unsorted) (V_H $$unsorted) (V_G $$unsorted)) (or (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (tptp.c_in V_c (tptp.c_Message_Oparts V_G) tptp.tc_Message_Omsg) (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Lattices_Oupper__semilattice__class_Osup V_G V_H (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a382 (forall ((V_X $$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))))
% 22.36/22.58 (assume a383 (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))))
% 22.36/22.58 (assume a384 (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)))))
% 22.36/22.58 (assume a385 (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)))))
% 22.36/22.58 (assume a386 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) V_H tptp.tc_Message_Omsg)) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts (tptp.c_Set_Oinsert V_X (tptp.c_Set_Oinsert V_Y V_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a387 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a388 (forall ((V_X $$unsorted) (V_K $$unsorted) (V_X_H $$unsorted) (V_Y $$unsorted) (V_A $$unsorted)) (= (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X_H V_Y) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OMPair V_X_H V_Y) (tptp.c_Set_Oinsert (tptp.c_Message_Omsg_OCrypt V_X V_K) V_A tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a389 (forall ((V_K $$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))))
% 22.36/22.58 (assume a390 (forall ((V_c $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent))) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a391 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_B $$unsorted)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts (tptp.c_Event_OinitState V_B)) tptp.tc_Message_Omsg))))
% 22.36/22.58 (assume a392 (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)))))
% 22.36/22.58 (assume a393 (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)))))
% 22.36/22.58 (assume a394 (forall ((V_X $$unsorted) (V_A $$unsorted) (V_evs $$unsorted)) (or (tptp.c_in V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_ONotes V_A V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 22.36/22.58 (assume a395 (forall ((V_X $$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))))
% 22.36/22.58 (assume a396 (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)))))
% 22.36/22.58 (assume a397 (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)))))
% 22.36/22.58 (assume a398 (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))))
% 22.36/22.58 (assume a399 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a400 (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))))
% 22.36/22.58 (assume a401 (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))))
% 22.36/22.58 (assume a402 (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))))
% 22.36/22.58 (assume a403 (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)))))
% 22.36/22.58 (assume a404 (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)))))
% 22.36/22.58 (assume a405 (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)))))
% 22.36/22.58 (assume a406 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oparts V_H)) (tptp.c_Message_Oparts V_H))))
% 22.36/22.58 (assume a407 (forall ((V_X $$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)))))
% 22.36/22.58 (assume a408 (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)))))
% 22.36/22.58 (assume a409 (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)))))
% 22.36/22.58 (assume a410 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_x V_S T_a) (not (tptp.hBOOL (tptp.hAPP V_S V_x))))))
% 22.36/22.58 (assume a411 (forall ((V_S $$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)))))
% 22.36/22.58 (assume a412 (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))))
% 22.36/22.58 (assume a413 (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))))
% 22.36/22.58 (assume a414 (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))))
% 22.36/22.58 (assume a415 (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))))
% 22.36/22.58 (assume a416 (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)))))
% 22.36/22.58 (assume a417 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 22.36/22.58 (assume a418 (not (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))
% 22.36/22.58 (assume a419 (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)))))
% 22.36/22.58 (assume a420 (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)))))
% 22.36/22.58 (assume a421 (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)))))
% 22.36/22.58 (assume a422 (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)))))
% 22.36/22.58 (assume a423 (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)))))
% 22.36/22.58 (assume a424 (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)))))
% 22.36/22.58 (assume a425 (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)))))
% 22.36/22.58 (assume a426 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat))
% 22.36/22.58 (assume a427 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 22.36/22.58 (assume a428 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 22.36/22.58 (assume a429 (tptp.class_Lattices_Olattice tptp.tc_nat))
% 22.36/22.58 (assume a430 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 22.36/22.58 (assume a431 (tptp.class_Orderings_Obot tptp.tc_nat))
% 22.36/22.58 (assume a432 (tptp.class_HOL_Oord tptp.tc_nat))
% 22.36/22.58 (assume a433 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool))
% 22.36/22.58 (assume a434 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool))
% 22.36/22.58 (assume a435 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 22.36/22.58 (assume a436 (tptp.class_Lattices_Olattice tptp.tc_bool))
% 22.36/22.58 (assume a437 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 22.36/22.58 (assume a438 (tptp.class_Orderings_Obot tptp.tc_bool))
% 22.36/22.58 (assume a439 (tptp.class_HOL_Oord tptp.tc_bool))
% 22.36/22.58 (assume a440 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_fequal V_x V_x T_a)))
% 22.36/22.58 (assume a441 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.c_fequal V_X V_Y T_a)))))
% 22.36/22.58 (step t1 (cl (=> (forall ((V_X $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 22.36/22.58 (anchor :step t2)
% 22.36/22.58 (assume t2.a0 (forall ((V_X $$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)))))
% 22.36/22.58 (step t2.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) (:= V_K tptp.v_KA)))
% 22.36/22.58 (step t2.t2 (cl (not (forall ((V_X $$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))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule or :premises (t2.t1))
% 22.36/22.58 (step t2.t3 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t2.t2 t2.a0))
% 22.36/22.58 (step t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t2.a0))
% 22.36/22.58 (step t3 (cl (=> (forall ((V_X $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t1 t2))
% 22.36/22.58 (step t4 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 22.36/22.58 (step t5 (cl (=> (forall ((V_X $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted) (V_K $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t3 t4))
% 22.36/22.58 (step t6 (cl (=> (forall ((V_X $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule contraction :premises (t5))
% 22.36/22.58 (step t7 (cl (not (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))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule implies :premises (t6))
% 22.36/22.58 (step t8 (cl (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule or_pos)
% 22.36/22.58 (step t9 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule reordering :premises (t8))
% 22.36/22.58 (step t10 (cl (not (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule or_pos)
% 22.36/22.58 (step t11 (cl (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule reordering :premises (t10))
% 22.36/22.58 (step t12 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule implies_neg1)
% 22.36/22.58 (anchor :step t13)
% 22.36/22.58 (assume t13.a0 (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))
% 22.36/22.58 (step t13.t1 (cl (or (not (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (:= V_evs tptp.v_evs) (:= V_A tptp.v_S) (:= V_B tptp.v_A)))
% 22.36/22.58 (step t13.t2 (cl (not (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule or :premises (t13.t1))
% 22.36/22.58 (step t13.t3 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t13.t2 t13.a0))
% 22.36/22.58 (step t13 (cl (not (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule subproof :discharge (t13.a0))
% 22.36/22.58 (step t14 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t12 t13))
% 22.36/22.58 (step t15 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (not (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule implies_neg2)
% 22.36/22.58 (step t16 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule resolution :premises (t14 t15))
% 22.36/22.58 (step t17 (cl (=> (forall ((V_X $$unsorted) (V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted)) (or (tptp.c_in V_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) :rule contraction :premises (t16))
% 22.36/22.58 (step t18 (cl (not (forall ((V_X $$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.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies :premises (t17))
% 22.36/22.58 (step t19 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_S tptp.v_A (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t18 a404))
% 22.36/22.58 (step t20 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) :rule resolution :premises (t11 a417 t19))
% 22.36/22.58 (step t21 (cl (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule or_pos)
% 22.36/22.58 (step t22 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule reordering :premises (t21))
% 22.36/22.58 (step t23 (cl (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule or_pos)
% 22.36/22.58 (step t24 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule reordering :premises (t23))
% 22.36/22.58 (step t25 (cl (not (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule or_pos)
% 22.36/22.58 (step t26 (cl (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)) (not (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule reordering :premises (t25))
% 22.36/22.58 (step t27 (cl (=> (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)))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 22.36/22.58 (anchor :step t28)
% 22.36/22.58 (assume t28.a0 (forall ((V_Y $$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)))))
% 22.36/22.58 (step t28.t1 (cl (or (not (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule forall_inst :args ((:= V_Y tptp.v_X) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) (:= V_X tptp.v_K)))
% 22.36/22.58 (step t28.t2 (cl (not (forall ((V_Y $$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))))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule or :premises (t28.t1))
% 22.36/22.58 (step t28.t3 (cl (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t28.t2 t28.a0))
% 22.36/22.58 (step t28 (cl (not (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t28.a0))
% 22.36/22.58 (step t29 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t27 t28))
% 22.36/22.58 (step t30 (cl (=> (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (not (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 22.36/22.58 (step t31 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (=> (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t29 t30))
% 22.36/22.58 (step t32 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule contraction :premises (t31))
% 22.36/22.58 (step t33 (cl (not (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule implies :premises (t32))
% 22.36/22.58 (step t34 (cl (or (tptp.c_in tptp.v_X (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t33 a398))
% 22.36/22.58 (step t35 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule resolution :premises (t26 a418 t34))
% 22.36/22.58 (step t36 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 22.36/22.58 (anchor :step t37)
% 22.36/22.58 (assume t37.a0 (forall ((V_Y $$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)))))
% 22.36/22.58 (step t37.t1 (cl (or (not (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule forall_inst :args ((:= V_Y (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) (:= V_X tptp.v_B)))
% 22.36/22.58 (step t37.t2 (cl (not (forall ((V_Y $$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))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule or :premises (t37.t1))
% 22.36/22.58 (step t37.t3 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t37.t2 t37.a0))
% 22.36/22.58 (step t37 (cl (not (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t37.a0))
% 22.36/22.58 (step t38 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t36 t37))
% 22.36/22.58 (step t39 (cl (=> (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 22.36/22.58 (step t40 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (=> (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t38 t39))
% 22.36/22.58 (step t41 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule contraction :premises (t40))
% 22.36/22.58 (step t42 (cl (not (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule implies :premises (t41))
% 22.36/22.58 (step t43 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t42 a398))
% 22.36/22.58 (step t44 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule resolution :premises (t24 t35 t43))
% 22.36/22.58 (step t45 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) :rule implies_neg1)
% 22.36/22.58 (anchor :step t46)
% 22.36/22.58 (assume t46.a0 (forall ((V_Y $$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)))))
% 22.36/22.58 (step t46.t1 (cl (or (not (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule forall_inst :args ((:= V_Y (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) (:= V_X tptp.v_N)))
% 22.36/22.58 (step t46.t2 (cl (not (forall ((V_Y $$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))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule or :premises (t46.t1))
% 22.36/22.58 (step t46.t3 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t46.t2 t46.a0))
% 22.36/22.58 (step t46 (cl (not (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t46.a0))
% 22.36/22.58 (step t47 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t45 t46))
% 22.36/22.58 (step t48 (cl (=> (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 22.36/22.58 (step t49 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) (=> (forall ((V_Y $$unsorted) (V_H $$unsorted) (V_X $$unsorted)) (or (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t47 t48))
% 22.36/22.58 (step t50 (cl (=> (forall ((V_Y $$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)))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule contraction :premises (t49))
% 22.36/22.58 (step t51 (cl (not (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))))) (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule implies :premises (t50))
% 22.36/22.58 (step t52 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t51 a398))
% 22.36/22.58 (step t53 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) :rule resolution :premises (t22 t44 t52))
% 22.36/22.58 (step t54 (cl (not (or (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt tptp.v_KA (tptp.c_Message_Omsg_OMPair tptp.v_N (tptp.c_Message_Omsg_OMPair tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_K tptp.v_X)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))))) :rule resolution :premises (t9 t20 t53))
% 22.36/22.58 (step t55 (cl) :rule resolution :premises (t7 t54 a407))
% 22.36/22.58
% 22.36/22.58 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.XLm6i6FOuD/cvc5---1.0.5_13451.smt2
% 22.36/22.59 % cvc5---1.0.5 exiting
% 22.36/22.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------