%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV359-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n005.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 18:05:23 EDT 2024

% Result   : Unsatisfiable 0.35s 0.56s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV359-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n005.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 26 23:00:24 EDT 2024
% 0.15/0.35  % 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...
% 0.35/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.TRNY5VcOsp/cvc5---1.0.5_23619.smt2
% 0.35/0.56  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.TRNY5VcOsp/cvc5---1.0.5_23619.smt2
% 0.35/0.58  (assume 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_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 0.35/0.58  (assume a1 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.35/0.58  (assume a2 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.35/0.58  (assume a3 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))
% 0.35/0.58  (assume a4 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 0.35/0.58  (assume a5 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 0.35/0.58  (assume a6 (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent)))
% 0.35/0.58  (assume a7 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 0.35/0.58  (assume a8 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))
% 0.35/0.58  (assume a9 (not (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))
% 0.35/0.58  (step t1 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t2)
% 0.35/0.58  (assume t2.a0 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 0.35/0.58  (step t2.t1 (cl (or (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_evs tptp.v_evs3) (:= V_B tptp.v_B) (:= V_A tptp.v_A) (:= V_na (tptp.c_Message_Omsg_ONonce tptp.v_NA)) (:= V_NB tptp.v_NB) (:= V_B_H tptp.v_Ba) (:= V_A_H tptp.v_Aa) (:= V_nb_H (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))
% 0.35/0.58  (step t2.t2 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule or :premises (t2.t1))
% 0.35/0.58  (step t2.t3 (cl (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t2.t2 t2.a0))
% 0.35/0.58  (step t2 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t2.a0))
% 0.35/0.58  (step t3 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t1 t2))
% 0.35/0.58  (step t4 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.35/0.58  (step t5 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t3 t4))
% 0.35/0.58  (step t6 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t5))
% 0.35/0.58  (step t7 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_A $$unsorted) (V_na $$unsorted) (V_NB $$unsorted) (V_B_H $$unsorted) (V_A_H $$unsorted) (V_nb_H $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OMPair V_na (tptp.c_Message_Omsg_ONonce V_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce V_NB) V_nb_H))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_NB) (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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies :premises (t6))
% 0.35/0.58  (step t8 (cl (not (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.35/0.58  (step t9 (cl (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t8))
% 0.35/0.58  (step t10 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.35/0.58  (step t11 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t10))
% 0.35/0.58  (step t12 (cl (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule and_neg)
% 0.35/0.58  (step t13 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t14)
% 0.35/0.58  (assume t14.a0 (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (assume t14.a1 (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))
% 0.35/0.58  (step t14.t1 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t14.t2)
% 0.35/0.58  (assume t14.t2.a0 (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))
% 0.35/0.58  (assume t14.t2.a1 (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (step t14.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.35/0.58  (step t14.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule equiv1 :premises (t14.t2.t1))
% 0.35/0.58  (step t14.t2.t3 (cl (= (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))))) :rule refl)
% 0.35/0.58  (step t14.t2.t4 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule symm :premises (t14.t2.a1))
% 0.35/0.58  (step t14.t2.t5 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.35/0.58  (step t14.t2.t6 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule cong :premises (t14.t2.t3 t14.t2.t4 t14.t2.t5))
% 0.35/0.58  (step t14.t2.t7 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.35/0.58  (step t14.t2.t8 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule equiv2 :premises (t14.t2.t7))
% 0.35/0.58  (step t14.t2.t9 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true)) :rule resolution :premises (t14.t2.t8 t14.t2.a0))
% 0.35/0.58  (step t14.t2.t10 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true)) :rule trans :premises (t14.t2.t6 t14.t2.t9))
% 0.35/0.58  (step t14.t2.t11 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t14.t2.t2 t14.t2.t10))
% 0.35/0.58  (step t14.t2 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule subproof :discharge (t14.t2.a0 t14.t2.a1))
% 0.35/0.58  (step t14.t3 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.35/0.58  (step t14.t4 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule and_pos)
% 0.35/0.58  (step t14.t5 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))))) :rule resolution :premises (t14.t2 t14.t3 t14.t4))
% 0.35/0.58  (step t14.t6 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule reordering :premises (t14.t5))
% 0.35/0.58  (step t14.t7 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule contraction :premises (t14.t6))
% 0.35/0.58  (step t14.t8 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t14.t1 t14.t7))
% 0.35/0.58  (step t14.t9 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.35/0.58  (step t14.t10 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t14.t8 t14.t9))
% 0.35/0.58  (step t14.t11 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule contraction :premises (t14.t10))
% 0.35/0.58  (step t14.t12 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule implies :premises (t14.t11))
% 0.35/0.58  (step t14.t13 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule and_neg)
% 0.35/0.58  (step t14.t14 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule resolution :premises (t14.t13 t14.a1 t14.a0))
% 0.35/0.58  (step t14.t15 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t14.t12 t14.t14))
% 0.35/0.58  (step t14 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule subproof :discharge (t14.a0 t14.a1))
% 0.35/0.58  (step t15 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule and_pos)
% 0.35/0.58  (step t16 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.35/0.58  (step t17 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t14 t15 t16))
% 0.35/0.58  (step t18 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule reordering :premises (t17))
% 0.35/0.58  (step t19 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule contraction :premises (t18))
% 0.35/0.58  (step t20 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t13 t19))
% 0.35/0.58  (step t21 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.35/0.58  (step t22 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t20 t21))
% 0.35/0.58  (step t23 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule contraction :premises (t22))
% 0.35/0.58  (step t24 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule implies :premises (t23))
% 0.35/0.58  (step t25 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t12 t24))
% 0.35/0.58  (step t26 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule reordering :premises (t25))
% 0.35/0.58  (step t27 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t28)
% 0.35/0.58  (assume t28.a0 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))
% 0.35/0.58  (step t28.t1 (cl (or (not (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule forall_inst :args ((:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (step t28.t2 (cl (not (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule or :premises (t28.t1))
% 0.35/0.58  (step t28.t3 (cl (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule resolution :premises (t28.t2 t28.a0))
% 0.35/0.58  (step t28 (cl (not (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule subproof :discharge (t28.a0))
% 0.35/0.58  (step t29 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule resolution :premises (t27 t28))
% 0.35/0.58  (step t30 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule implies_neg2)
% 0.35/0.58  (step t31 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule resolution :premises (t29 t30))
% 0.35/0.58  (step t32 (cl (=> (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule contraction :premises (t31))
% 0.35/0.58  (step t33 (cl (not (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H)))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule implies :premises (t32))
% 0.35/0.58  (step t34 (cl (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule resolution :premises (t33 a3))
% 0.35/0.58  (step t35 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.35/0.58  (step t36 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule reordering :premises (t35))
% 0.35/0.58  (step t37 (cl (not (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.35/0.58  (step t38 (cl (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t37))
% 0.35/0.58  (step t39 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (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 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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t40)
% 0.35/0.58  (assume t40.a0 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (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 V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))
% 0.35/0.58  (step t40.t1 (cl (or (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_evs tptp.v_evs3) (:= V_B tptp.c_Message_Oagent_OServer) (:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))))))
% 0.35/0.58  (step t40.t2 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (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 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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule or :premises (t40.t1))
% 0.35/0.58  (step t40.t3 (cl (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t40.t2 t40.a0))
% 0.35/0.58  (step t40 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t40.a0))
% 0.35/0.58  (step t41 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (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 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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t39 t40))
% 0.35/0.58  (step t42 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (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 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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.35/0.58  (step t43 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (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 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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t41 t42))
% 0.35/0.58  (step t44 (cl (=> (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (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 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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t43))
% 0.35/0.58  (step t45 (cl (not (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (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 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.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies :premises (t44))
% 0.35/0.58  (step t46 (cl (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t45 a4))
% 0.35/0.58  (step t47 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t38 a6 a7 t46))
% 0.35/0.58  (step t48 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t49)
% 0.35/0.58  (assume t49.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.35/0.58  (step t49.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))))) (:= V_H (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))))
% 0.35/0.58  (step t49.t2 (cl (not (forall ((V_X $$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_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule or :premises (t49.t1))
% 0.35/0.58  (step t49.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule resolution :premises (t49.t2 t49.a0))
% 0.35/0.58  (step t49 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule subproof :discharge (t49.a0))
% 0.35/0.58  (step t50 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule resolution :premises (t48 t49))
% 0.35/0.58  (step t51 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.35/0.58  (step t52 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t50 t51))
% 0.35/0.58  (step t53 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule contraction :premises (t52))
% 0.35/0.58  (step t54 (cl (not (forall ((V_X $$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_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule implies :premises (t53))
% 0.35/0.58  (step t55 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule resolution :premises (t54 a2))
% 0.35/0.58  (step t56 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule resolution :premises (t36 t47 t55))
% 0.35/0.58  (step t57 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t26 t34 t56))
% 0.35/0.58  (step t58 (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_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t59)
% 0.35/0.58  (assume t59.a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.35/0.58  (step t59.t1 (cl (or (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) (:= V_Y (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (step t59.t2 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule or :premises (t59.t1))
% 0.35/0.58  (step t59.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t59.t2 t59.a0))
% 0.35/0.58  (step t59 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t59.a0))
% 0.35/0.58  (step t60 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t58 t59))
% 0.35/0.58  (step t61 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.35/0.58  (step t62 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t60 t61))
% 0.35/0.58  (step t63 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t62))
% 0.35/0.58  (step t64 (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_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies :premises (t63))
% 0.35/0.58  (step t65 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t64 a1))
% 0.35/0.58  (step t66 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t11 t57 t65))
% 0.35/0.58  (step t67 (cl (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule and_neg)
% 0.35/0.58  (step t68 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t69)
% 0.35/0.58  (assume t69.a0 (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (assume t69.a1 (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))
% 0.35/0.58  (step t69.t1 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t69.t2)
% 0.35/0.58  (assume t69.t2.a0 (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))
% 0.35/0.58  (assume t69.t2.a1 (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (step t69.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.35/0.58  (step t69.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule equiv1 :premises (t69.t2.t1))
% 0.35/0.58  (step t69.t2.t3 (cl (= (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) :rule refl)
% 0.35/0.58  (step t69.t2.t4 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule symm :premises (t69.t2.a1))
% 0.35/0.58  (step t69.t2.t5 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.35/0.58  (step t69.t2.t6 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule cong :premises (t69.t2.t3 t69.t2.t4 t69.t2.t5))
% 0.35/0.58  (step t69.t2.t7 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.35/0.58  (step t69.t2.t8 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule equiv2 :premises (t69.t2.t7))
% 0.35/0.58  (step t69.t2.t9 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true)) :rule resolution :premises (t69.t2.t8 t69.t2.a0))
% 0.35/0.58  (step t69.t2.t10 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true)) :rule trans :premises (t69.t2.t6 t69.t2.t9))
% 0.35/0.58  (step t69.t2.t11 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t69.t2.t2 t69.t2.t10))
% 0.35/0.58  (step t69.t2 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule subproof :discharge (t69.t2.a0 t69.t2.a1))
% 0.35/0.58  (step t69.t3 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.35/0.58  (step t69.t4 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule and_pos)
% 0.35/0.58  (step t69.t5 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))))) :rule resolution :premises (t69.t2 t69.t3 t69.t4))
% 0.35/0.58  (step t69.t6 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule reordering :premises (t69.t5))
% 0.35/0.58  (step t69.t7 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule contraction :premises (t69.t6))
% 0.35/0.58  (step t69.t8 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t69.t1 t69.t7))
% 0.35/0.58  (step t69.t9 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.35/0.58  (step t69.t10 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (=> (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t69.t8 t69.t9))
% 0.35/0.58  (step t69.t11 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule contraction :premises (t69.t10))
% 0.35/0.58  (step t69.t12 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule implies :premises (t69.t11))
% 0.35/0.58  (step t69.t13 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule and_neg)
% 0.35/0.58  (step t69.t14 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule resolution :premises (t69.t13 t69.a1 t69.a0))
% 0.35/0.58  (step t69.t15 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t69.t12 t69.t14))
% 0.35/0.58  (step t69 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule subproof :discharge (t69.a0 t69.a1))
% 0.35/0.58  (step t70 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule and_pos)
% 0.35/0.58  (step t71 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.35/0.58  (step t72 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t69 t70 t71))
% 0.35/0.58  (step t73 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule reordering :premises (t72))
% 0.35/0.58  (step t74 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule contraction :premises (t73))
% 0.35/0.58  (step t75 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t68 t74))
% 0.35/0.58  (step t76 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.35/0.58  (step t77 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t75 t76))
% 0.35/0.58  (step t78 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule contraction :premises (t77))
% 0.35/0.58  (step t79 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule implies :premises (t78))
% 0.35/0.58  (step t80 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t67 t79))
% 0.35/0.58  (step t81 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.35/0.58  (step t82 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule reordering :premises (t81))
% 0.35/0.58  (step t83 (cl (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule and_neg)
% 0.35/0.58  (step t84 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t85)
% 0.35/0.58  (assume t85.a0 (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (assume t85.a1 (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))
% 0.35/0.58  (step t85.t1 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t85.t2)
% 0.35/0.58  (assume t85.t2.a0 (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))
% 0.35/0.58  (assume t85.t2.a1 (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (step t85.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.35/0.58  (step t85.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule equiv1 :premises (t85.t2.t1))
% 0.35/0.58  (step t85.t2.t3 (cl (= (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))))) :rule refl)
% 0.35/0.58  (step t85.t2.t4 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule symm :premises (t85.t2.a1))
% 0.35/0.58  (step t85.t2.t5 (cl (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule symm :premises (t85.t2.t4))
% 0.35/0.58  (step t85.t2.t6 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.35/0.58  (step t85.t2.t7 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule cong :premises (t85.t2.t3 t85.t2.t5 t85.t2.t6))
% 0.35/0.58  (step t85.t2.t8 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.35/0.58  (step t85.t2.t9 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule equiv2 :premises (t85.t2.t8))
% 0.35/0.58  (step t85.t2.t10 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) true)) :rule resolution :premises (t85.t2.t9 t85.t2.a0))
% 0.35/0.58  (step t85.t2.t11 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) true)) :rule trans :premises (t85.t2.t7 t85.t2.t10))
% 0.35/0.58  (step t85.t2.t12 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule resolution :premises (t85.t2.t2 t85.t2.t11))
% 0.35/0.58  (step t85.t2 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule subproof :discharge (t85.t2.a0 t85.t2.a1))
% 0.35/0.58  (step t85.t3 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.35/0.58  (step t85.t4 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule and_pos)
% 0.35/0.58  (step t85.t5 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))))) :rule resolution :premises (t85.t2 t85.t3 t85.t4))
% 0.35/0.58  (step t85.t6 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule reordering :premises (t85.t5))
% 0.35/0.58  (step t85.t7 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule contraction :premises (t85.t6))
% 0.35/0.58  (step t85.t8 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule resolution :premises (t85.t1 t85.t7))
% 0.35/0.58  (step t85.t9 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.35/0.58  (step t85.t10 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule resolution :premises (t85.t8 t85.t9))
% 0.35/0.58  (step t85.t11 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule contraction :premises (t85.t10))
% 0.35/0.58  (step t85.t12 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule implies :premises (t85.t11))
% 0.35/0.58  (step t85.t13 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule and_neg)
% 0.35/0.58  (step t85.t14 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))) :rule resolution :premises (t85.t13 t85.a1 t85.a0))
% 0.35/0.58  (step t85.t15 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule resolution :premises (t85.t12 t85.t14))
% 0.35/0.58  (step t85 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule subproof :discharge (t85.a0 t85.a1))
% 0.35/0.58  (step t86 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) :rule and_pos)
% 0.35/0.58  (step t87 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.35/0.58  (step t88 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t85 t86 t87))
% 0.35/0.58  (step t89 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule reordering :premises (t88))
% 0.35/0.58  (step t90 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule contraction :premises (t89))
% 0.35/0.58  (step t91 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule resolution :premises (t84 t90))
% 0.35/0.58  (step t92 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.35/0.58  (step t93 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule resolution :premises (t91 t92))
% 0.35/0.58  (step t94 (cl (=> (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule contraction :premises (t93))
% 0.35/0.58  (step t95 (cl (not (and (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule implies :premises (t94))
% 0.35/0.58  (step t96 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule resolution :premises (t83 t95))
% 0.35/0.58  (step t97 (cl (not (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule reordering :premises (t96))
% 0.35/0.58  (step t98 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.35/0.58  (step t99 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t98))
% 0.35/0.58  (step t100 (cl (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.35/0.58  (step t101 (cl (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule reordering :premises (t100))
% 0.35/0.58  (step t102 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t103)
% 0.35/0.58  (assume t103.a0 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 0.35/0.58  (step t103.t1 (cl (or (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_A tptp.v_B) (:= V_B tptp.c_Message_Oagent_OServer) (:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (:= V_evs tptp.v_evs3)))
% 0.35/0.58  (step t103.t2 (cl (not (forall ((V_A $$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_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_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) :rule or :premises (t103.t1))
% 0.35/0.58  (step t103.t3 (cl (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t103.t2 t103.a0))
% 0.35/0.58  (step t103 (cl (not (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) :rule subproof :discharge (t103.a0))
% 0.35/0.58  (step t104 (cl (=> (forall ((V_A $$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_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_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t102 t103))
% 0.35/0.58  (step t105 (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_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_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.35/0.58  (step t106 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t104 t105))
% 0.35/0.58  (step t107 (cl (=> (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule contraction :premises (t106))
% 0.35/0.58  (step t108 (cl (not (forall ((V_A $$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_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_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) :rule implies :premises (t107))
% 0.35/0.58  (step t109 (cl (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t108 a0))
% 0.35/0.58  (step t110 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) :rule resolution :premises (t101 a8 t109))
% 0.35/0.58  (step t111 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t112)
% 0.35/0.58  (assume t112.a0 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.35/0.58  (step t112.t1 (cl (or (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))))) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))))
% 0.35/0.58  (step t112.t2 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule or :premises (t112.t1))
% 0.35/0.58  (step t112.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t112.t2 t112.a0))
% 0.35/0.58  (step t112 (cl (not (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t112.a0))
% 0.35/0.58  (step t113 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t111 t112))
% 0.35/0.58  (step t114 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.35/0.58  (step t115 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t113 t114))
% 0.35/0.58  (step t116 (cl (=> (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t115))
% 0.35/0.58  (step t117 (cl (not (forall ((V_X $$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_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule implies :premises (t116))
% 0.35/0.58  (step t118 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg))) :rule resolution :premises (t117 a2))
% 0.35/0.58  (step t119 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t99 t110 t118))
% 0.35/0.58  (step t120 (cl (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule resolution :premises (t97 t34 t119))
% 0.35/0.58  (step t121 (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_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.35/0.58  (anchor :step t122)
% 0.35/0.58  (assume t122.a0 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.35/0.58  (step t122.t1 (cl (or (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_X (tptp.c_Message_Omsg_OAgent tptp.v_B)) (:= V_Y (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (:= V_H (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)))))
% 0.35/0.58  (step t122.t2 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule or :premises (t122.t1))
% 0.35/0.58  (step t122.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule resolution :premises (t122.t2 t122.a0))
% 0.35/0.58  (step t122 (cl (not (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule subproof :discharge (t122.a0))
% 0.35/0.58  (step t123 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule resolution :premises (t121 t122))
% 0.35/0.58  (step t124 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.35/0.58  (step t125 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule resolution :premises (t123 t124))
% 0.35/0.58  (step t126 (cl (=> (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)))) :rule contraction :premises (t125))
% 0.35/0.58  (step t127 (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_Oparts V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_Y (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule implies :premises (t126))
% 0.35/0.58  (step t128 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB))))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg))) :rule resolution :premises (t127 a1))
% 0.35/0.58  (step t129 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) tptp.tc_Message_Omsg)) :rule resolution :premises (t82 t120 t128))
% 0.35/0.58  (step t130 (cl (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) :rule resolution :premises (t80 t34 t129))
% 0.35/0.58  (step t131 (cl (not (or (not (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) (tptp.c_Message_Omsg_ONonce tptp.v_NB)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_ONonce tptp.v_NBa)))) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t9 a9 a6 t66 t130))
% 0.35/0.58  (step t132 (cl) :rule resolution :premises (t7 t131 a5))
% 0.35/0.58  
% 0.35/0.58  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.TRNY5VcOsp/cvc5---1.0.5_23619.smt2
% 0.35/0.59  % cvc5---1.0.5 exiting
% 0.35/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------