TSTP Solution File: SWV339-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV339-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n015.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 18:05:17 EDT 2024
% Result : Unsatisfiable 0.39s 0.57s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWV339-2 : TPTP v8.2.0. Released v3.2.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n015.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 26 23:06:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.23/0.54 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.39/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.ZcXYxK1TQw/cvc5---1.0.5_5145.smt2
% 0.39/0.57 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.ZcXYxK1TQw/cvc5---1.0.5_5145.smt2
% 0.39/0.57 (assume a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))
% 0.39/0.57 (assume a1 (or (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))))
% 0.39/0.57 (assume a2 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 0.39/0.57 (step t1 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) :rule implies_neg1)
% 0.39/0.57 (anchor :step t2)
% 0.39/0.57 (assume t2.a0 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 0.39/0.57 (step t2.t1 (cl (or (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule forall_inst :args ((:= V_A tptp.v_B) (:= V_evs tptp.v_evs3)))
% 0.39/0.57 (step t2.t2 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule or :premises (t2.t1))
% 0.39/0.57 (step t2.t3 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule resolution :premises (t2.t2 t2.a0))
% 0.39/0.57 (step t2 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule subproof :discharge (t2.a0))
% 0.39/0.57 (step t3 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule resolution :premises (t1 t2))
% 0.39/0.57 (step t4 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.39/0.57 (step t5 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t3 t4))
% 0.39/0.57 (step t6 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule contraction :premises (t5))
% 0.39/0.57 (step t7 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule implies :premises (t6))
% 0.39/0.57 (step t8 (cl (not (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) (not (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv_pos2)
% 0.39/0.57 (step t9 (cl (= (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) true) (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.39/0.57 (step t10 (cl (not (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) true)) (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t9))
% 0.39/0.57 (step t11 (cl (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))))) :rule all_simplify)
% 0.39/0.57 (step t12 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule refl)
% 0.39/0.57 (step t13 (cl (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule all_simplify)
% 0.39/0.57 (step t14 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule cong :premises (t12 t13))
% 0.39/0.57 (step t15 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) true)) :rule all_simplify)
% 0.39/0.57 (step t16 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) true)) :rule trans :premises (t14 t15))
% 0.39/0.57 (step t17 (cl (= (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) true)) :rule trans :premises (t11 t16))
% 0.39/0.57 (step t18 (cl (= (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t10 t17))
% 0.39/0.57 (step t19 (cl (= (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))))) :rule refl)
% 0.39/0.57 (step t20 (cl (= (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule refl)
% 0.39/0.57 (step t21 (cl (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule cong :premises (t18 t19 t20))
% 0.39/0.57 (step t22 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) :rule and_neg)
% 0.39/0.57 (step t23 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) :rule implies_neg1)
% 0.39/0.57 (anchor :step t24)
% 0.39/0.57 (assume t24.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))
% 0.39/0.57 (assume t24.a1 (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))
% 0.39/0.57 (step t24.t1 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) :rule implies_neg1)
% 0.39/0.57 (anchor :step t24.t2)
% 0.39/0.57 (assume t24.t2.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))
% 0.39/0.57 (assume t24.t2.a1 (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))
% 0.39/0.57 (step t24.t2.t1 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.39/0.57 (step t24.t2.t2 (cl (not (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule equiv1 :premises (t24.t2.t1))
% 0.39/0.57 (step t24.t2.t3 (cl (= (tptp.c_Public_OshrK tptp.v_B) tptp.v_K)) :rule symm :premises (t24.t2.a1))
% 0.39/0.57 (step t24.t2.t4 (cl (= (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Message_Omsg_OKey tptp.v_K))) :rule cong :premises (t24.t2.t3))
% 0.39/0.57 (step t24.t2.t5 (cl (= (tptp.c_Event_Oused tptp.v_evs3) (tptp.c_Event_Oused tptp.v_evs3))) :rule refl)
% 0.39/0.57 (step t24.t2.t6 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.39/0.57 (step t24.t2.t7 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule cong :premises (t24.t2.t4 t24.t2.t5 t24.t2.t6))
% 0.39/0.57 (step t24.t2.t8 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.39/0.57 (step t24.t2.t9 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv2 :premises (t24.t2.t8))
% 0.39/0.57 (step t24.t2.t10 (cl (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule not_not)
% 0.39/0.57 (step t24.t2.t11 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule resolution :premises (t24.t2.t9 t24.t2.t10))
% 0.39/0.57 (step t24.t2.t12 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false)) :rule resolution :premises (t24.t2.t11 t24.t2.a0))
% 0.39/0.57 (step t24.t2.t13 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false)) :rule trans :premises (t24.t2.t7 t24.t2.t12))
% 0.39/0.57 (step t24.t2.t14 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t24.t2.t2 t24.t2.t13))
% 0.39/0.57 (step t24.t2 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule subproof :discharge (t24.t2.a0 t24.t2.a1))
% 0.39/0.57 (step t24.t3 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.39/0.57 (step t24.t4 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) :rule and_pos)
% 0.39/0.57 (step t24.t5 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))))) :rule resolution :premises (t24.t2 t24.t3 t24.t4))
% 0.39/0.57 (step t24.t6 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule reordering :premises (t24.t5))
% 0.39/0.57 (step t24.t7 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule contraction :premises (t24.t6))
% 0.39/0.57 (step t24.t8 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t24.t1 t24.t7))
% 0.39/0.57 (step t24.t9 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.39/0.57 (step t24.t10 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t24.t8 t24.t9))
% 0.39/0.57 (step t24.t11 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule contraction :premises (t24.t10))
% 0.39/0.57 (step t24.t12 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule implies :premises (t24.t11))
% 0.39/0.57 (step t24.t13 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) :rule and_neg)
% 0.39/0.57 (step t24.t14 (cl (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) :rule resolution :premises (t24.t13 t24.a0 t24.a1))
% 0.39/0.57 (step t24.t15 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t24.t12 t24.t14))
% 0.39/0.57 (step t24 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule subproof :discharge (t24.a0 t24.a1))
% 0.39/0.57 (step t25 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.39/0.57 (step t26 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) :rule and_pos)
% 0.39/0.57 (step t27 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))))) :rule resolution :premises (t24 t25 t26))
% 0.39/0.57 (step t28 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule reordering :premises (t27))
% 0.39/0.57 (step t29 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule contraction :premises (t28))
% 0.39/0.57 (step t30 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t23 t29))
% 0.39/0.57 (step t31 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule implies_neg2)
% 0.39/0.57 (step t32 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t30 t31))
% 0.39/0.57 (step t33 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule contraction :premises (t32))
% 0.39/0.57 (step t34 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule implies :premises (t33))
% 0.39/0.57 (step t35 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t22 t34))
% 0.39/0.57 (step t36 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule or_neg)
% 0.39/0.57 (step t37 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))))) :rule or_neg)
% 0.39/0.57 (step t38 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule or_neg)
% 0.39/0.57 (step t39 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t35 t36 t37 t38))
% 0.39/0.57 (step t40 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule contraction :premises (t39))
% 0.39/0.57 (step t41 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t8 t21 t40))
% 0.39/0.57 (step t42 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule or :premises (t41))
% 0.39/0.57 (step t43 (cl (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) :rule or :premises (a1))
% 0.39/0.57 (step t44 (cl (not (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) (not (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv_pos2)
% 0.39/0.57 (step t45 (cl (= (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))))) :rule refl)
% 0.39/0.57 (step t46 (cl (= (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule refl)
% 0.39/0.57 (step t47 (cl (= (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule cong :premises (t18 t45 t46))
% 0.39/0.57 (step t48 (cl (not (= (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) (not (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv_pos2)
% 0.39/0.57 (step t49 (cl (= (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule refl)
% 0.39/0.57 (step t50 (cl (= (= (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))))) :rule equiv_simplify)
% 0.39/0.57 (step t51 (cl (= (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) (not (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))))) :rule equiv2 :premises (t50))
% 0.39/0.57 (step t52 (cl (not (not (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))))) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule not_not)
% 0.39/0.57 (step t53 (cl (= (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t51 t52))
% 0.39/0.57 (step t54 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule implies_neg1)
% 0.39/0.57 (anchor :step t55)
% 0.39/0.57 (assume t55.a0 (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))
% 0.39/0.57 (assume t55.a1 (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)))
% 0.39/0.57 (assume t55.a2 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))
% 0.39/0.57 (step t55.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 0.39/0.57 (step t55.t2 (cl (= (= false true) false)) :rule all_simplify)
% 0.39/0.57 (step t55.t3 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv_simplify)
% 0.39/0.57 (step t55.t4 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule equiv2 :premises (t55.t3))
% 0.39/0.57 (step t55.t5 (cl (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule not_not)
% 0.39/0.57 (step t55.t6 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false) (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule resolution :premises (t55.t4 t55.t5))
% 0.39/0.57 (step t55.t7 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) false)) :rule resolution :premises (t55.t6 t55.a2))
% 0.39/0.57 (step t55.t8 (cl (= false (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule symm :premises (t55.t7))
% 0.39/0.57 (step t55.t9 (cl (= (tptp.c_Public_OshrK tptp.v_A) tptp.v_K)) :rule symm :premises (t55.a1))
% 0.39/0.57 (step t55.t10 (cl (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) :rule symm :premises (t55.t9))
% 0.39/0.57 (step t55.t11 (cl (= (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)))) :rule cong :premises (t55.t10))
% 0.39/0.57 (step t55.t12 (cl (= (tptp.c_Event_Oused tptp.v_evs3) (tptp.c_Event_Oused tptp.v_evs3))) :rule refl)
% 0.39/0.57 (step t55.t13 (cl (= tptp.tc_Message_Omsg tptp.tc_Message_Omsg)) :rule refl)
% 0.39/0.57 (step t55.t14 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule cong :premises (t55.t11 t55.t12 t55.t13))
% 0.39/0.57 (step t55.t15 (cl (= (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) true) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule equiv_simplify)
% 0.39/0.57 (step t55.t16 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) true) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule equiv2 :premises (t55.t15))
% 0.39/0.57 (step t55.t17 (cl (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) true)) :rule resolution :premises (t55.t16 t55.a0))
% 0.39/0.57 (step t55.t18 (cl (= false true)) :rule trans :premises (t55.t8 t55.t14 t55.t17))
% 0.39/0.57 (step t55.t19 (cl false) :rule resolution :premises (t55.t1 t55.t2 t55.t18))
% 0.39/0.57 (step t55 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) :rule subproof :discharge (t55.a0 t55.a1 t55.a2))
% 0.39/0.57 (step t56 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.39/0.57 (step t57 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) :rule and_pos)
% 0.39/0.57 (step t58 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.39/0.57 (step t59 (cl false (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule resolution :premises (t55 t56 t57 t58))
% 0.39/0.57 (step t60 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) false) :rule reordering :premises (t59))
% 0.39/0.57 (step t61 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) false) :rule contraction :premises (t60))
% 0.39/0.57 (step t62 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) false) :rule resolution :premises (t54 t61))
% 0.39/0.57 (step t63 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) (not false)) :rule implies_neg2)
% 0.39/0.57 (step t64 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) (=> (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false)) :rule resolution :premises (t62 t63))
% 0.39/0.57 (step t65 (cl (=> (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false)) :rule contraction :premises (t64))
% 0.39/0.57 (step t66 (cl (= (=> (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false) (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))))) :rule implies_simplify)
% 0.39/0.57 (step t67 (cl (not (=> (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false)) (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule equiv1 :premises (t66))
% 0.39/0.57 (step t68 (cl (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule resolution :premises (t65 t67))
% 0.39/0.57 (step t69 (cl (= (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) false)) :rule resolution :premises (t53 t68))
% 0.39/0.57 (step t70 (cl (= (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) false))) :rule cong :premises (t49 t69))
% 0.39/0.57 (step t71 (cl (= (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) false) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule all_simplify)
% 0.39/0.57 (step t72 (cl (= (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule trans :premises (t70 t71))
% 0.39/0.57 (step t73 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule implies_neg1)
% 0.39/0.57 (anchor :step t74)
% 0.39/0.57 (assume t74.a0 (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))
% 0.39/0.57 (assume t74.a1 (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)))
% 0.39/0.57 (assume t74.a2 (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))
% 0.39/0.57 (step t74.t1 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule and_neg)
% 0.39/0.57 (step t74.t2 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t74.t1 t74.a2 t74.a1 t74.a0))
% 0.39/0.57 (step t74 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule subproof :discharge (t74.a0 t74.a1 t74.a2))
% 0.39/0.57 (step t75 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule and_pos)
% 0.39/0.57 (step t76 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) :rule and_pos)
% 0.39/0.57 (step t77 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule and_pos)
% 0.39/0.57 (step t78 (cl (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t74 t75 t76 t77))
% 0.39/0.57 (step t79 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule reordering :premises (t78))
% 0.39/0.57 (step t80 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule contraction :premises (t79))
% 0.39/0.57 (step t81 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t73 t80))
% 0.39/0.57 (step t82 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (not (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule implies_neg2)
% 0.39/0.57 (step t83 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule resolution :premises (t81 t82))
% 0.39/0.57 (step t84 (cl (=> (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (and (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule contraction :premises (t83))
% 0.39/0.57 (step t85 (cl (not (and (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t48 t72 t84))
% 0.39/0.57 (step t86 (cl (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule not_and :premises (t85))
% 0.39/0.57 (step t87 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))))) :rule or_neg)
% 0.39/0.57 (step t88 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))))) :rule or_neg)
% 0.39/0.57 (step t89 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule or_neg)
% 0.39/0.57 (step t90 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t86 t87 t88 t89))
% 0.39/0.57 (step t91 (cl (or (not (not (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule contraction :premises (t90))
% 0.39/0.57 (step t92 (cl (or (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)))) :rule resolution :premises (t44 t47 t91))
% 0.39/0.57 (step t93 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_K) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg) (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A))) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule or :premises (t92))
% 0.39/0.57 (step t94 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) :rule implies_neg1)
% 0.39/0.57 (anchor :step t95)
% 0.39/0.57 (assume t95.a0 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)))
% 0.39/0.57 (step t95.t1 (cl (or (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule forall_inst :args ((:= V_A tptp.v_A) (:= V_evs tptp.v_evs3)))
% 0.39/0.57 (step t95.t2 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule or :premises (t95.t1))
% 0.39/0.57 (step t95.t3 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule resolution :premises (t95.t2 t95.a0))
% 0.39/0.57 (step t95 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule subproof :discharge (t95.a0))
% 0.39/0.57 (step t96 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule resolution :premises (t94 t95))
% 0.39/0.57 (step t97 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule implies_neg2)
% 0.39/0.57 (step t98 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t96 t97))
% 0.39/0.57 (step t99 (cl (=> (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule contraction :premises (t98))
% 0.39/0.57 (step t100 (cl (not (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule implies :premises (t99))
% 0.39/0.57 (step t101 (cl (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg)) :rule resolution :premises (t100 a2))
% 0.39/0.57 (step t102 (cl (not (= tptp.v_K (tptp.c_Public_OshrK tptp.v_A)))) :rule resolution :premises (t93 t101 a0))
% 0.39/0.57 (step t103 (cl (= tptp.v_K (tptp.c_Public_OshrK tptp.v_B))) :rule resolution :premises (t43 t102))
% 0.39/0.57 (step t104 (cl (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_B)) (tptp.c_Event_Oused tptp.v_evs3) tptp.tc_Message_Omsg))) :rule resolution :premises (t42 a0 t103))
% 0.39/0.57 (step t105 (cl) :rule resolution :premises (t7 t104 a2))
% 0.39/0.57
% 0.39/0.58 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.ZcXYxK1TQw/cvc5---1.0.5_5145.smt2
% 0.42/0.58 % cvc5---1.0.5 exiting
% 0.42/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------