TSTP Solution File: SWV292-2 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV292-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n029.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 18:05:02 EDT 2024

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV292-2 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 27 00:02:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.hUbGHkaZPX/cvc5---1.0.5_23212.smt2
% 0.21/0.55  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.hUbGHkaZPX/cvc5---1.0.5_23212.smt2
% 0.21/0.56  (assume a0 (not (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))
% 0.21/0.56  (assume a1 (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent)))
% 0.21/0.56  (assume a2 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 0.21/0.56  (assume a3 (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))
% 0.21/0.56  (assume a4 (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_A tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))
% 0.21/0.56  (assume a5 (or (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_A tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))))
% 0.21/0.56  (assume a6 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 0.21/0.56  (assume a7 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))))
% 0.21/0.56  (assume a8 (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 0.21/0.56  (assume a9 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 0.21/0.56  (assume a10 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))
% 0.21/0.56  (assume a11 (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))))
% 0.21/0.56  (assume a12 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 0.21/0.56  (assume a13 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 0.21/0.56  (assume a14 (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 0.21/0.56  (assume a15 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))))
% 0.21/0.56  (step t1 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t2 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule reordering :premises (t1))
% 0.21/0.56  (step t3 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t4 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t3))
% 0.21/0.56  (step t5 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t6 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t5))
% 0.21/0.56  (step t7 (cl (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_A tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (a5))
% 0.21/0.56  (step t8 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t7 a4))
% 0.21/0.56  (step t9 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t10)
% 0.21/0.56  (assume t10.a0 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.21/0.56  (step t10.t1 (cl (or (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B))))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.21/0.56  (step t10.t2 (cl (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t10.t1))
% 0.21/0.56  (step t10.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t10.t2 t10.a0))
% 0.21/0.56  (step t10 (cl (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t10.a0))
% 0.21/0.56  (step t11 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t9 t10))
% 0.21/0.56  (step t12 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t13 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t11 t12))
% 0.21/0.56  (step t14 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t13))
% 0.21/0.56  (step t15 (cl (not (forall ((V_c $$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)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t14))
% 0.21/0.56  (step t16 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t15 a11))
% 0.21/0.56  (step t17 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t6 t8 t16))
% 0.21/0.56  (step t18 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t19 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t18))
% 0.21/0.56  (step t20 (cl (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) :rule or_pos)
% 0.21/0.56  (step t21 (cl (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) :rule reordering :premises (t20))
% 0.21/0.56  (step t22 (cl (=> (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t23)
% 0.21/0.56  (assume t23.a0 (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))
% 0.21/0.56  (step t23.t1 (cl (or (not (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) :rule forall_inst :args ((:= V_evs tptp.v_evs4) (:= V_A tptp.v_A)))
% 0.21/0.56  (step t23.t2 (cl (not (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule or :premises (t23.t1))
% 0.21/0.56  (step t23.t3 (cl (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule resolution :premises (t23.t2 t23.a0))
% 0.21/0.56  (step t23 (cl (not (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule subproof :discharge (t23.a0))
% 0.21/0.56  (step t24 (cl (=> (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule resolution :premises (t22 t23))
% 0.21/0.56  (step t25 (cl (=> (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) :rule implies_neg2)
% 0.21/0.56  (step t26 (cl (=> (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (=> (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) :rule resolution :premises (t24 t25))
% 0.21/0.56  (step t27 (cl (=> (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) :rule contraction :premises (t26))
% 0.21/0.56  (step t28 (cl (not (forall ((V_evs $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule implies :premises (t27))
% 0.21/0.56  (step t29 (cl (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) :rule resolution :premises (t28 a14))
% 0.21/0.56  (step t30 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t21 a0 a1 t29))
% 0.21/0.56  (step t31 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t32)
% 0.21/0.56  (assume t32.a0 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.21/0.56  (step t32.t1 (cl (or (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.21/0.56  (step t32.t2 (cl (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t32.t1))
% 0.21/0.56  (step t32.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t32.t2 t32.a0))
% 0.21/0.56  (step t32 (cl (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t32.a0))
% 0.21/0.56  (step t33 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t31 t32))
% 0.21/0.56  (step t34 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t35 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t33 t34))
% 0.21/0.56  (step t36 (cl (=> (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t35))
% 0.21/0.56  (step t37 (cl (not (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t36))
% 0.21/0.56  (step t38 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t37 a11))
% 0.21/0.56  (step t39 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t19 t30 t38))
% 0.21/0.56  (step t40 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (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_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))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t41)
% 0.21/0.56  (assume t41.a0 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (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_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))))
% 0.21/0.56  (step t41.t1 (cl (or (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_K (tptp.c_Public_OshrK tptp.v_A)) (:= V_X (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (:= V_H (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.21/0.56  (step t41.t2 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (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_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)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t41.t1))
% 0.21/0.56  (step t41.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t41.t2 t41.a0))
% 0.21/0.56  (step t41 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t41.a0))
% 0.21/0.56  (step t42 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (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_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))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t40 t41))
% 0.21/0.56  (step t43 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (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_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))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t44 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (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_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))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) V_H tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t42 t43))
% 0.21/0.56  (step t45 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (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_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))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t44))
% 0.21/0.56  (step t46 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (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_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)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t45))
% 0.21/0.56  (step t47 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t46 a7))
% 0.21/0.56  (step t48 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t4 t17 t39 t47))
% 0.21/0.56  (step t49 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t50)
% 0.21/0.56  (assume t50.a0 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))))
% 0.21/0.56  (step t50.t1 (cl (or (not (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B))))) (:= V_A (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))) (:= V_B (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (:= T_a tptp.tc_Message_Omsg)))
% 0.21/0.56  (step t50.t2 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule or :premises (t50.t1))
% 0.21/0.56  (step t50.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t50.t2 t50.a0))
% 0.21/0.56  (step t50 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule subproof :discharge (t50.a0))
% 0.21/0.56  (step t51 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t49 t50))
% 0.21/0.56  (step t52 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t53 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t51 t52))
% 0.21/0.56  (step t54 (cl (=> (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule contraction :premises (t53))
% 0.21/0.56  (step t55 (cl (not (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule implies :premises (t54))
% 0.21/0.56  (step t56 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t55 a15))
% 0.21/0.56  (step t57 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t58 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule reordering :premises (t57))
% 0.21/0.56  (step t59 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t60 (cl (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule reordering :premises (t59))
% 0.21/0.56  (step t61 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t62 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule reordering :premises (t61))
% 0.21/0.56  (step t63 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t64 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t63))
% 0.21/0.56  (step t65 (cl (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.21/0.56  (step t66 (cl (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t65))
% 0.21/0.56  (step t67 (cl (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) :rule or_pos)
% 0.21/0.56  (step t68 (cl (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule reordering :premises (t67))
% 0.21/0.56  (step t69 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B 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.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t70)
% 0.21/0.56  (assume t70.a0 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B 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.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))
% 0.21/0.56  (step t70.t1 (cl (or (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule forall_inst :args ((:= V_evs tptp.v_evs4) (:= V_B tptp.v_Ba) (:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))))))
% 0.21/0.56  (step t70.t2 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B 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.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule or :premises (t70.t1))
% 0.21/0.56  (step t70.t3 (cl (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t70.t2 t70.a0))
% 0.21/0.56  (step t70 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule subproof :discharge (t70.a0))
% 0.21/0.56  (step t71 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B 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.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t69 t70))
% 0.21/0.56  (step t72 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B 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.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (not (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule implies_neg2)
% 0.21/0.56  (step t73 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B 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.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule resolution :premises (t71 t72))
% 0.21/0.56  (step t74 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B 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.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) :rule contraction :premises (t73))
% 0.21/0.56  (step t75 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B 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.v_sko__usf V_B V_X V_evs) V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))) (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule implies :premises (t74))
% 0.21/0.56  (step t76 (cl (or (not (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))) :rule resolution :premises (t75 a13))
% 0.21/0.56  (step t77 (cl (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) :rule resolution :premises (t68 a1 a2 t76))
% 0.21/0.56  (step t78 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t79)
% 0.21/0.56  (assume t79.a0 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 0.21/0.56  (step t79.t1 (cl (or (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_A (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4)) (:= V_B tptp.v_Ba) (:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (:= V_evs tptp.v_evs4)))
% 0.21/0.56  (step t79.t2 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t79.t1))
% 0.21/0.56  (step t79.t3 (cl (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t79.t2 t79.a0))
% 0.21/0.56  (step t79 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t79.a0))
% 0.21/0.56  (step t80 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t78 t79))
% 0.21/0.56  (step t81 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t82 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t80 t81))
% 0.21/0.56  (step t83 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t82))
% 0.21/0.56  (step t84 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t83))
% 0.21/0.56  (step t85 (cl (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) tptp.v_evs4) tptp.v_Ba (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))))) (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t84 a6))
% 0.21/0.56  (step t86 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t66 t77 t85))
% 0.21/0.56  (step t87 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t88)
% 0.21/0.56  (assume t88.a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))))
% 0.21/0.56  (step t88.t1 (cl (or (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_ONonce tptp.v_NAa)) (:= V_Y (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.21/0.56  (step t88.t2 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule or :premises (t88.t1))
% 0.21/0.56  (step t88.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t88.t2 t88.a0))
% 0.21/0.56  (step t88 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t88.a0))
% 0.21/0.56  (step t89 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t87 t88))
% 0.21/0.56  (step t90 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t91 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t89 t90))
% 0.21/0.56  (step t92 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t91))
% 0.21/0.56  (step t93 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule implies :premises (t92))
% 0.21/0.56  (step t94 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NAa) (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg))) :rule resolution :premises (t93 a9))
% 0.21/0.56  (step t95 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) :rule resolution :premises (t64 t86 t94))
% 0.21/0.56  (step t96 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t97)
% 0.21/0.56  (assume t97.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))
% 0.21/0.56  (step t97.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (:= V_H (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)))))
% 0.21/0.56  (step t97.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule or :premises (t97.t1))
% 0.21/0.56  (step t97.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t97.t2 t97.a0))
% 0.21/0.56  (step t97 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule subproof :discharge (t97.a0))
% 0.21/0.56  (step t98 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t96 t97))
% 0.21/0.56  (step t99 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t100 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t98 t99))
% 0.21/0.56  (step t101 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule contraction :premises (t100))
% 0.21/0.56  (step t102 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule implies :premises (t101))
% 0.21/0.56  (step t103 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t102 a12))
% 0.21/0.56  (step t104 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule resolution :premises (t62 t95 t103))
% 0.21/0.56  (step t105 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t106)
% 0.21/0.56  (assume t106.a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))))
% 0.21/0.56  (step t106.t1 (cl (or (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X tptp.v_X) (:= V_Y (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.21/0.56  (step t106.t2 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule or :premises (t106.t1))
% 0.21/0.56  (step t106.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t106.t2 t106.a0))
% 0.21/0.56  (step t106 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule subproof :discharge (t106.a0))
% 0.21/0.56  (step t107 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t105 t106))
% 0.21/0.56  (step t108 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t109 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t107 t108))
% 0.21/0.56  (step t110 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (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)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)))) :rule contraction :premises (t109))
% 0.21/0.56  (step t111 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule implies :premises (t110))
% 0.21/0.56  (step t112 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair tptp.v_X (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg))) :rule resolution :premises (t111 a10))
% 0.21/0.56  (step t113 (cl (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) :rule resolution :premises (t60 t104 t112))
% 0.21/0.56  (step t114 (cl (=> (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.21/0.56  (anchor :step t115)
% 0.21/0.56  (assume t115.a0 (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))))
% 0.21/0.56  (step t115.t1 (cl (or (not (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_Z (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B))))) (:= V_X tptp.v_X) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))))
% 0.21/0.56  (step t115.t2 (cl (not (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule or :premises (t115.t1))
% 0.21/0.56  (step t115.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t115.t2 t115.a0))
% 0.21/0.56  (step t115 (cl (not (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule subproof :discharge (t115.a0))
% 0.21/0.56  (step t116 (cl (=> (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t114 t115))
% 0.21/0.56  (step t117 (cl (=> (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.21/0.56  (step t118 (cl (=> (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (=> (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule resolution :premises (t116 t117))
% 0.21/0.56  (step t119 (cl (=> (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) :rule contraction :premises (t118))
% 0.21/0.56  (step t120 (cl (not (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule implies :premises (t119))
% 0.21/0.56  (step t121 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4) tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) :rule resolution :premises (t120 a8))
% 0.21/0.56  (step t122 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OAgent tptp.v_B)))) (tptp.c_union (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) :rule resolution :premises (t58 a3 t113 t121))
% 0.21/0.56  (step t123 (cl) :rule resolution :premises (t2 t48 t56 t122 t8))
% 0.21/0.56  
% 0.21/0.56  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.hUbGHkaZPX/cvc5---1.0.5_23212.smt2
% 0.21/0.57  % cvc5---1.0.5 exiting
% 0.21/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------