%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV338-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n027.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 18:05:16 EDT 2024

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV338-2 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 26 22:42:09 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.CXIX1WIEpx/cvc5---1.0.5_17566.smt2
% 0.20/0.52  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.CXIX1WIEpx/cvc5---1.0.5_17566.smt2
% 0.20/0.54  (assume a0 (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 0.20/0.54  (assume a1 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.20/0.54  (assume a2 (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= (tptp.c_Message_OinvKey V_y) V_y))))
% 0.20/0.54  (assume a3 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_y V_y T_a) V_y)))
% 0.20/0.54  (assume a4 (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat))
% 0.20/0.54  (assume a5 (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg))
% 0.20/0.54  (assume a6 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)))
% 0.20/0.54  (assume a7 (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat))
% 0.20/0.54  (assume a8 (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)))
% 0.20/0.54  (step t1 (cl (not (= (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (or (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))) (not (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) (or (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule equiv_pos2)
% 0.20/0.54  (step t2 (cl (= (= (= (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) true) (= (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule equiv_simplify)
% 0.20/0.54  (step t3 (cl (not (= (= (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) true)) (= (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule equiv1 :premises (t2))
% 0.20/0.54  (step t4 (cl (= (= (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))))) :rule all_simplify)
% 0.20/0.54  (step t5 (cl (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule refl)
% 0.20/0.54  (step t6 (cl (= (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule all_simplify)
% 0.20/0.54  (step t7 (cl (= (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule cong :premises (t5 t6))
% 0.20/0.54  (step t8 (cl (= (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) true)) :rule all_simplify)
% 0.20/0.54  (step t9 (cl (= (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) true)) :rule trans :premises (t7 t8))
% 0.20/0.54  (step t10 (cl (= (= (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) true)) :rule trans :premises (t4 t9))
% 0.20/0.54  (step t11 (cl (= (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule resolution :premises (t3 t10))
% 0.20/0.54  (step t12 (cl (= (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)))) :rule refl)
% 0.20/0.54  (step t13 (cl (= (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule refl)
% 0.20/0.54  (step t14 (cl (= (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (or (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))) :rule cong :premises (t11 t12 t13))
% 0.20/0.54  (step t15 (cl (not (= (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))) (not (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))))) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule equiv_pos2)
% 0.20/0.54  (step t16 (cl (= (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule refl)
% 0.20/0.54  (step t17 (cl (= (= (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))))) :rule equiv_simplify)
% 0.20/0.54  (step t18 (cl (= (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) (not (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))))) :rule equiv2 :premises (t17))
% 0.20/0.54  (step t19 (cl (not (not (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule not_not)
% 0.20/0.54  (step t20 (cl (= (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule resolution :premises (t18 t19))
% 0.20/0.54  (step t21 (cl (=> (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule implies_neg1)
% 0.20/0.54  (anchor :step t22)
% 0.20/0.54  (assume t22.a0 (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat))
% 0.20/0.54  (assume t22.a1 (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))
% 0.20/0.54  (assume t22.a2 (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))
% 0.20/0.54  (step t22.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 0.20/0.54  (step t22.t2 (cl (= (= false true) false)) :rule all_simplify)
% 0.20/0.54  (step t22.t3 (cl (= (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) false) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule equiv_simplify)
% 0.20/0.54  (step t22.t4 (cl (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) false) (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule equiv2 :premises (t22.t3))
% 0.20/0.54  (step t22.t5 (cl (not (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) :rule not_not)
% 0.20/0.54  (step t22.t6 (cl (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) false) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) :rule resolution :premises (t22.t4 t22.t5))
% 0.20/0.54  (step t22.t7 (cl (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) false)) :rule resolution :premises (t22.t6 t22.a2))
% 0.20/0.54  (step t22.t8 (cl (= false (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule symm :premises (t22.t7))
% 0.20/0.54  (step t22.t9 (cl (= tptp.v_K tptp.v_K)) :rule refl)
% 0.20/0.54  (step t22.t10 (cl (= (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) :rule symm :premises (t22.a1))
% 0.20/0.54  (step t22.t11 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule symm :premises (t22.t10))
% 0.20/0.54  (step t22.t12 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule cong :premises (t22.t11))
% 0.20/0.54  (step t22.t13 (cl (= (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule cong :premises (t22.t12))
% 0.20/0.54  (step t22.t14 (cl (= tptp.tc_nat tptp.tc_nat)) :rule refl)
% 0.20/0.54  (step t22.t15 (cl (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat))) :rule cong :premises (t22.t9 t22.t13 t22.t14))
% 0.20/0.54  (step t22.t16 (cl (= (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) true) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat))) :rule equiv_simplify)
% 0.20/0.54  (step t22.t17 (cl (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) true) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat))) :rule equiv2 :premises (t22.t16))
% 0.20/0.54  (step t22.t18 (cl (= (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) true)) :rule resolution :premises (t22.t17 t22.a0))
% 0.20/0.54  (step t22.t19 (cl (= false true)) :rule trans :premises (t22.t8 t22.t15 t22.t18))
% 0.20/0.54  (step t22.t20 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t19))
% 0.20/0.54  (step t22 (cl (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 0.20/0.54  (step t23 (cl (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) :rule and_pos)
% 0.20/0.54  (step t24 (cl (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.20/0.54  (step t25 (cl (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule and_pos)
% 0.20/0.54  (step t26 (cl false (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))))) :rule resolution :premises (t22 t23 t24 t25))
% 0.20/0.54  (step t27 (cl (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) false) :rule reordering :premises (t26))
% 0.20/0.54  (step t28 (cl (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) false) :rule contraction :premises (t27))
% 0.20/0.54  (step t29 (cl (=> (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) false) :rule resolution :premises (t21 t28))
% 0.20/0.54  (step t30 (cl (=> (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) (not false)) :rule implies_neg2)
% 0.20/0.54  (step t31 (cl (=> (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) (=> (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false)) :rule resolution :premises (t29 t30))
% 0.20/0.54  (step t32 (cl (=> (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false)) :rule contraction :premises (t31))
% 0.20/0.54  (step t33 (cl (= (=> (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false) (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))))) :rule implies_simplify)
% 0.20/0.54  (step t34 (cl (not (=> (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false)) (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))))) :rule equiv1 :premises (t33))
% 0.20/0.54  (step t35 (cl (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))))) :rule resolution :premises (t32 t34))
% 0.20/0.54  (step t36 (cl (= (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) false)) :rule resolution :premises (t20 t35))
% 0.20/0.54  (step t37 (cl (= (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) false))) :rule cong :premises (t16 t36))
% 0.20/0.54  (step t38 (cl (= (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) false) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))) :rule all_simplify)
% 0.20/0.54  (step t39 (cl (= (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))))) :rule trans :premises (t37 t38))
% 0.20/0.54  (step t40 (cl (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.54  (anchor :step t41)
% 0.20/0.54  (assume t41.a0 (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))
% 0.20/0.54  (assume t41.a1 (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat))
% 0.20/0.54  (assume t41.a2 (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))
% 0.20/0.54  (step t41.t1 (cl (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule and_neg)
% 0.20/0.54  (step t41.t2 (cl (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule resolution :premises (t41.t1 t41.a1 t41.a2 t41.a0))
% 0.20/0.54  (step t41 (cl (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 0.20/0.54  (step t42 (cl (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule and_pos)
% 0.20/0.54  (step t43 (cl (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) :rule and_pos)
% 0.20/0.54  (step t44 (cl (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.20/0.54  (step t45 (cl (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule resolution :premises (t41 t42 t43 t44))
% 0.20/0.54  (step t46 (cl (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule reordering :premises (t45))
% 0.20/0.54  (step t47 (cl (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule contraction :premises (t46))
% 0.20/0.54  (step t48 (cl (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) :rule resolution :premises (t40 t47))
% 0.20/0.54  (step t49 (cl (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (not (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))))) :rule implies_neg2)
% 0.20/0.54  (step t50 (cl (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)))) (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))))) :rule resolution :premises (t48 t49))
% 0.20/0.54  (step t51 (cl (=> (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (and (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))))) :rule contraction :premises (t50))
% 0.20/0.54  (step t52 (cl (not (and (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule resolution :premises (t15 t39 t51))
% 0.20/0.54  (step t53 (cl (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule not_and :premises (t52))
% 0.20/0.54  (step t54 (cl (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))))) :rule or_neg)
% 0.20/0.54  (step t55 (cl (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)))) :rule or_neg)
% 0.20/0.54  (step t56 (cl (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (not (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule or_neg)
% 0.20/0.54  (step t57 (cl (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule resolution :premises (t53 t54 t55 t56))
% 0.20/0.54  (step t58 (cl (or (not (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule contraction :premises (t57))
% 0.20/0.54  (step t59 (cl (or (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))))) :rule resolution :premises (t1 t14 t58))
% 0.20/0.54  (step t60 (cl (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule or :premises (t59))
% 0.20/0.54  (step t61 (cl (=> (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a)))) :rule implies_neg1)
% 0.20/0.54  (anchor :step t62)
% 0.20/0.54  (assume t62.a0 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))))
% 0.20/0.54  (step t62.t1 (cl (or (not (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_y (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (:= T_a tptp.tc_Message_Omsg)))
% 0.20/0.54  (step t62.t2 (cl (not (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule or :premises (t62.t1))
% 0.20/0.54  (step t62.t3 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t62.t2 t62.a0))
% 0.20/0.54  (step t62 (cl (not (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule subproof :discharge (t62.a0))
% 0.20/0.54  (step t63 (cl (=> (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t61 t62))
% 0.20/0.54  (step t64 (cl (=> (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.54  (step t65 (cl (=> (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) (=> (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule resolution :premises (t63 t64))
% 0.20/0.54  (step t66 (cl (=> (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule contraction :premises (t65))
% 0.20/0.54  (step t67 (cl (not (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule implies :premises (t66))
% 0.20/0.54  (step t68 (cl (not (= (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_y V_y T_a) V_y)) (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))))) (not (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_y V_y T_a) V_y))) (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a)))) :rule equiv_pos2)
% 0.20/0.54  (anchor :step t69 :args ((V_y $$unsorted) (:= V_y V_y) (T_a $$unsorted) (:= T_a T_a)))
% 0.20/0.54  (step t69.t1 (cl (= V_y V_y)) :rule refl)
% 0.20/0.54  (step t69.t2 (cl (= T_a T_a)) :rule refl)
% 0.20/0.54  (step t69.t3 (cl (= (= (tptp.c_union V_y V_y T_a) V_y) (= V_y (tptp.c_union V_y V_y T_a)))) :rule all_simplify)
% 0.20/0.54  (step t69 (cl (= (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union V_y V_y T_a) V_y)) (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a))))) :rule bind)
% 0.20/0.54  (step t70 (cl (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union V_y V_y T_a)))) :rule resolution :premises (t68 t69 a3))
% 0.20/0.54  (step t71 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t67 t70))
% 0.20/0.54  (step t72 (cl (not (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.54  (step t73 (cl (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule reordering :premises (t72))
% 0.20/0.54  (step t74 (cl (not (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) (not (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule equiv_pos2)
% 0.20/0.54  (step t75 (cl (= (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) true) (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.20/0.54  (step t76 (cl (not (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) true)) (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t75))
% 0.20/0.54  (step t77 (cl (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))))) :rule all_simplify)
% 0.20/0.54  (step t78 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule refl)
% 0.20/0.54  (step t79 (cl (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule all_simplify)
% 0.20/0.54  (step t80 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule cong :premises (t78 t79))
% 0.20/0.54  (step t81 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) true)) :rule all_simplify)
% 0.20/0.54  (step t82 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) true)) :rule trans :premises (t80 t81))
% 0.20/0.54  (step t83 (cl (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) true)) :rule trans :premises (t77 t82))
% 0.20/0.54  (step t84 (cl (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t76 t83))
% 0.20/0.54  (step t85 (cl (= (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule refl)
% 0.20/0.54  (step t86 (cl (= (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule refl)
% 0.20/0.54  (step t87 (cl (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule cong :premises (t84 t85 t86))
% 0.20/0.54  (step t88 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule and_neg)
% 0.20/0.54  (step t89 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule implies_neg1)
% 0.20/0.54  (anchor :step t90)
% 0.20/0.54  (assume t90.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))
% 0.20/0.54  (assume t90.a1 (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))
% 0.20/0.54  (step t90.t1 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule implies_neg1)
% 0.20/0.54  (anchor :step t90.t2)
% 0.20/0.54  (assume t90.t2.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))
% 0.20/0.54  (assume t90.t2.a1 (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))
% 0.20/0.54  (step t90.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.20/0.54  (step t90.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) false)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t90.t2.t1))
% 0.20/0.54  (step t90.t2.t3 (cl (= (tptp.c_Message_OinvKey tptp.v_K) tptp.v_K)) :rule symm :premises (t90.t2.a1))
% 0.20/0.54  (step t90.t2.t4 (cl (= (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Omsg_OKey tptp.v_K))) :rule cong :premises (t90.t2.t3))
% 0.20/0.54  (step t90.t2.t5 (cl (= (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)))) :rule refl)
% 0.20/0.54  (step t90.t2.t6 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.20/0.54  (step t90.t2.t7 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule cong :premises (t90.t2.t4 t90.t2.t5 t90.t2.t6))
% 0.20/0.54  (step t90.t2.t8 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.20/0.54  (step t90.t2.t9 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) false) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule equiv2 :premises (t90.t2.t8))
% 0.20/0.54  (step t90.t2.t10 (cl (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) :rule not_not)
% 0.20/0.54  (step t90.t2.t11 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) false) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) :rule resolution :premises (t90.t2.t9 t90.t2.t10))
% 0.20/0.54  (step t90.t2.t12 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) false)) :rule resolution :premises (t90.t2.t11 t90.t2.a0))
% 0.20/0.54  (step t90.t2.t13 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) false)) :rule trans :premises (t90.t2.t7 t90.t2.t12))
% 0.20/0.54  (step t90.t2.t14 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t90.t2.t2 t90.t2.t13))
% 0.20/0.54  (step t90.t2 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t90.t2.a0 t90.t2.a1))
% 0.20/0.54  (step t90.t3 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.20/0.54  (step t90.t4 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) :rule and_pos)
% 0.20/0.54  (step t90.t5 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule resolution :premises (t90.t2 t90.t3 t90.t4))
% 0.20/0.54  (step t90.t6 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule reordering :premises (t90.t5))
% 0.20/0.54  (step t90.t7 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule contraction :premises (t90.t6))
% 0.20/0.54  (step t90.t8 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t90.t1 t90.t7))
% 0.20/0.54  (step t90.t9 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.54  (step t90.t10 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t90.t8 t90.t9))
% 0.20/0.54  (step t90.t11 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t90.t10))
% 0.20/0.54  (step t90.t12 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule implies :premises (t90.t11))
% 0.20/0.54  (step t90.t13 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule and_neg)
% 0.20/0.54  (step t90.t14 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule resolution :premises (t90.t13 t90.a0 t90.a1))
% 0.20/0.54  (step t90.t15 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t90.t12 t90.t14))
% 0.20/0.54  (step t90 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t90.a0 t90.a1))
% 0.20/0.54  (step t91 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.20/0.54  (step t92 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) :rule and_pos)
% 0.20/0.54  (step t93 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule resolution :premises (t90 t91 t92))
% 0.20/0.54  (step t94 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule reordering :premises (t93))
% 0.20/0.54  (step t95 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule contraction :premises (t94))
% 0.20/0.54  (step t96 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t89 t95))
% 0.20/0.54  (step t97 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.54  (step t98 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t96 t97))
% 0.20/0.54  (step t99 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t98))
% 0.20/0.54  (step t100 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule implies :premises (t99))
% 0.20/0.54  (step t101 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t88 t100))
% 0.20/0.54  (step t102 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))))) :rule or_neg)
% 0.20/0.54  (step t103 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule or_neg)
% 0.20/0.54  (step t104 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule or_neg)
% 0.20/0.54  (step t105 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t101 t102 t103 t104))
% 0.20/0.54  (step t106 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t105))
% 0.20/0.54  (step t107 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t74 t87 t106))
% 0.20/0.54  (step t108 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule or :premises (t107))
% 0.20/0.54  (step t109 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule reordering :premises (t108))
% 0.20/0.54  (step t110 (cl (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)) :rule or_pos)
% 0.20/0.54  (step t111 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule reordering :premises (t110))
% 0.20/0.54  (step t112 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.54  (anchor :step t113)
% 0.20/0.54  (assume t113.a0 (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))
% 0.20/0.54  (step t113.t1 (cl (or (not (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_c (tptp.c_Message_Omsg_OKey tptp.v_K)) (:= V_evs tptp.v_evsf)))
% 0.20/0.54  (step t113.t2 (cl (not (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) :rule or :premises (t113.t1))
% 0.20/0.54  (step t113.t3 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t113.t2 t113.a0))
% 0.20/0.54  (step t113 (cl (not (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) :rule subproof :discharge (t113.a0))
% 0.20/0.54  (step t114 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t112 t113))
% 0.20/0.54  (step t115 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.54  (step t116 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) (=> (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule resolution :premises (t114 t115))
% 0.20/0.54  (step t117 (cl (=> (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)))) :rule contraction :premises (t116))
% 0.20/0.54  (step t118 (cl (not (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) :rule implies :premises (t117))
% 0.20/0.54  (step t119 (cl (or (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg))) :rule resolution :premises (t118 a0))
% 0.20/0.54  (step t120 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t111 a6 t119))
% 0.20/0.54  (step t121 (cl (not (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) :rule or_pos)
% 0.20/0.54  (step t122 (cl (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)) (not (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule reordering :premises (t121))
% 0.20/0.54  (step t123 (cl (=> (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y))))) :rule implies_neg1)
% 0.20/0.54  (anchor :step t124)
% 0.20/0.54  (assume t124.a0 (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))))
% 0.20/0.54  (step t124.t1 (cl (or (not (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y))))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule forall_inst :args ((:= V_y tptp.v_K)))
% 0.20/0.54  (step t124.t2 (cl (not (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y))))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule or :premises (t124.t1))
% 0.20/0.54  (step t124.t3 (cl (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule resolution :premises (t124.t2 t124.a0))
% 0.20/0.54  (step t124 (cl (not (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y))))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule subproof :discharge (t124.a0))
% 0.20/0.54  (step t125 (cl (=> (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule resolution :premises (t123 t124))
% 0.20/0.54  (step t126 (cl (=> (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (not (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule implies_neg2)
% 0.20/0.54  (step t127 (cl (=> (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) (=> (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule resolution :premises (t125 t126))
% 0.20/0.54  (step t128 (cl (=> (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))))) :rule contraction :premises (t127))
% 0.20/0.54  (step t129 (cl (not (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y))))) (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule implies :premises (t128))
% 0.20/0.54  (step t130 (cl (not (= (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= (tptp.c_Message_OinvKey V_y) V_y))) (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))))) (not (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= (tptp.c_Message_OinvKey V_y) V_y)))) (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y))))) :rule equiv_pos2)
% 0.20/0.54  (anchor :step t131 :args ((V_y $$unsorted) (:= V_y V_y)))
% 0.20/0.54  (step t131.t1 (cl (= V_y V_y)) :rule refl)
% 0.20/0.54  (step t131.t2 (cl (= (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)))) :rule refl)
% 0.20/0.54  (step t131.t3 (cl (= (= (tptp.c_Message_OinvKey V_y) V_y) (= V_y (tptp.c_Message_OinvKey V_y)))) :rule all_simplify)
% 0.20/0.54  (step t131.t4 (cl (= (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= (tptp.c_Message_OinvKey V_y) V_y)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y))))) :rule cong :premises (t131.t2 t131.t3))
% 0.20/0.54  (step t131 (cl (= (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= (tptp.c_Message_OinvKey V_y) V_y))) (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y)))))) :rule bind)
% 0.20/0.54  (step t132 (cl (forall ((V_y $$unsorted)) (or (not (tptp.c_in V_y tptp.c_Message_OsymKeys tptp.tc_nat)) (= V_y (tptp.c_Message_OinvKey V_y))))) :rule resolution :premises (t130 t131 a2))
% 0.20/0.54  (step t133 (cl (or (not (tptp.c_in tptp.v_K tptp.c_Message_OsymKeys tptp.tc_nat)) (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K)))) :rule resolution :premises (t129 t132))
% 0.20/0.54  (step t134 (cl (= tptp.v_K (tptp.c_Message_OinvKey tptp.v_K))) :rule resolution :premises (t122 a4 t133))
% 0.20/0.54  (step t135 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t109 t120 t134))
% 0.20/0.54  (step t136 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.20/0.54  (anchor :step t137)
% 0.20/0.54  (assume t137.a0 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))
% 0.20/0.54  (step t137.t1 (cl (or (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule forall_inst :args ((:= V_K tptp.v_K) (:= V_X tptp.v_X) (:= V_G (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) (:= V_H (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))))
% 0.20/0.54  (step t137.t2 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule or :premises (t137.t1))
% 0.20/0.54  (step t137.t3 (cl (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t137.t2 t137.a0))
% 0.20/0.54  (step t137 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule subproof :discharge (t137.a0))
% 0.20/0.54  (step t138 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t136 t137))
% 0.20/0.54  (step t139 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (not (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.20/0.54  (step t140 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule resolution :premises (t138 t139))
% 0.20/0.54  (step t141 (cl (=> (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg)))) :rule contraction :premises (t140))
% 0.20/0.54  (step t142 (cl (not (forall ((V_K $$unsorted) (V_X $$unsorted) (V_G $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert V_X V_G tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in V_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)) tptp.tc_Message_Omsg)) (tptp.c_in V_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union V_G V_H tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey V_K)) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg)))) (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule implies :premises (t141))
% 0.20/0.54  (step t143 (cl (or (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) (not (tptp.c_in tptp.v_X (tptp.c_Message_Osynth (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_Message_Omsg)) (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf)) tptp.tc_Message_Omsg))) :rule resolution :premises (t142 a1))
% 0.20/0.54  (step t144 (cl (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf) tptp.tc_Message_Omsg))) tptp.tc_nat)) :rule resolution :premises (t73 a5 a7 t135 t143))
% 0.20/0.54  (step t145 (cl (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat)) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg)) :rule or :premises (a8))
% 0.20/0.54  (step t146 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evsf) tptp.tc_Message_Omsg) (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule reordering :premises (t145))
% 0.20/0.54  (step t147 (cl (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) tptp.tc_nat))) :rule resolution :premises (t146 a6))
% 0.20/0.54  (step t148 (cl) :rule resolution :premises (t60 t71 t144 t147))
% 0.20/0.54  
% 0.20/0.54  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.CXIX1WIEpx/cvc5---1.0.5_17566.smt2
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------