TSTP Solution File: SWV326-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV326-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Thu Sep 29 15:11:11 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV326-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Sep 4 02:42:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(c_in_type, type, (
% 0.12/0.38 c_in: ( $i * $i * $i ) > $o)).
% 0.12/0.38 tff(tc_Message_Omsg_type, type, (
% 0.12/0.38 tc_Message_Omsg: $i)).
% 0.12/0.38 tff(c_Message_Oparts_type, type, (
% 0.12/0.38 c_Message_Oparts: $i > $i)).
% 0.12/0.38 tff(c_Event_Oknows_type, type, (
% 0.12/0.38 c_Event_Oknows: ( $i * $i ) > $i)).
% 0.12/0.38 tff(v_evs1_type, type, (
% 0.12/0.38 v_evs1: $i)).
% 0.12/0.38 tff(c_Message_Oagent_OSpy_type, type, (
% 0.12/0.38 c_Message_Oagent_OSpy: $i)).
% 0.12/0.38 tff(c_Message_Omsg_OMPair_type, type, (
% 0.12/0.38 c_Message_Omsg_OMPair: ( $i * $i ) > $i)).
% 0.12/0.38 tff(c_Message_Omsg_OAgent_type, type, (
% 0.12/0.38 c_Message_Omsg_OAgent: $i > $i)).
% 0.12/0.38 tff(v_B_type, type, (
% 0.12/0.38 v_B: $i)).
% 0.12/0.38 tff(v_Aa_type, type, (
% 0.12/0.38 v_Aa: $i)).
% 0.12/0.38 tff(c_Message_Omsg_ONonce_type, type, (
% 0.12/0.38 c_Message_Omsg_ONonce: $i > $i)).
% 0.12/0.38 tff(v_NAa_type, type, (
% 0.12/0.38 v_NAa: $i)).
% 0.12/0.38 tff(c_Message_Omsg_OCrypt_type, type, (
% 0.12/0.38 c_Message_Omsg_OCrypt: ( $i * $i ) > $i)).
% 0.12/0.38 tff(c_Public_OshrK_type, type, (
% 0.12/0.38 c_Public_OshrK: $i > $i)).
% 0.12/0.38 tff(v_C_type, type, (
% 0.12/0.38 v_C: $i)).
% 0.12/0.38 tff(v_Ba_type, type, (
% 0.12/0.38 v_Ba: $i)).
% 0.12/0.38 tff(c_Event_Oused_type, type, (
% 0.12/0.38 c_Event_Oused: $i > $i)).
% 0.12/0.38 tff(v_A_type, type, (
% 0.12/0.38 v_A: $i)).
% 0.12/0.38 tff(v_NA_type, type, (
% 0.12/0.38 v_NA: $i)).
% 0.12/0.38 tff(1,plain,
% 0.12/0.38 ((v_Ba = v_C) <=> (v_C = v_Ba)),
% 0.12/0.38 inference(commutativity,[status(thm)],[])).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 ((v_C = v_Ba) <=> (v_Ba = v_C)),
% 0.12/0.38 inference(symmetry,[status(thm)],[1])).
% 0.12/0.38 tff(3,assumption,(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)), introduced(assumption)).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 ((~c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg)) <=> (~c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(5,axiom,(~c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_2')).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (~c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 (^[V_c: $i, V_evs: $i] : refl(((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[7])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)) <=> ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(10,axiom,(![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0')).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.12/0.38 tff(12,plain,(
% 0.12/0.38 ![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.12/0.38 inference(skolemize,[status(sab)],[11])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 (![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg))) <=> ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 ((~![V_c: $i, V_evs: $i] : ((~c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)) | c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 (~c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[16, 13, 6])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (^[V_Y: $i, V_H: $i, V_X: $i] : refl(((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[18])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(21,axiom,(![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Message_OMPair__parts_1')).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.12/0.38 tff(23,plain,(
% 0.12/0.38 ![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.38 inference(skolemize,[status(sab)],[22])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 (![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[27, 24, 17, 3])).
% 0.12/0.38 tff(29,plain,(~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(30,assumption,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)), introduced(assumption)).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 (^[V_H: $i, V_X: $i, V_K: $i] : refl(((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(32,plain,
% 0.12/0.38 (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[31])).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)) <=> ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(34,axiom,(![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_Message_Oparts_OBody__dest_0')).
% 0.19/0.39 tff(35,plain,
% 0.19/0.39 (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.19/0.39 tff(36,plain,(
% 0.19/0.39 ![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.19/0.39 inference(skolemize,[status(sab)],[35])).
% 0.19/0.39 tff(37,plain,
% 0.19/0.39 (![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.19/0.39 tff(38,plain,
% 0.19/0.39 (((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))) <=> ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(39,plain,
% 0.19/0.39 ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(40,plain,
% 0.19/0.39 ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.19/0.39 tff(41,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[40, 37, 30, 29])).
% 0.19/0.39 tff(42,plain,(~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(43,plain,
% 0.19/0.39 ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)) <=> ((v_C = v_Ba) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(44,plain,
% 0.19/0.39 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(45,plain,
% 0.19/0.39 ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[44])).
% 0.19/0.39 tff(46,plain,
% 0.19/0.39 ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)) <=> ((v_C = v_Ba) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(transitivity,[status(thm)],[45, 43])).
% 0.19/0.39 tff(47,plain,
% 0.19/0.39 ((c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)) <=> (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(48,axiom,(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_21')).
% 0.19/0.39 tff(49,plain,
% 0.19/0.39 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.19/0.39 tff(50,plain,
% 0.19/0.39 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[49, 47])).
% 0.19/0.39 tff(51,plain,
% 0.19/0.39 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[50, 47])).
% 0.19/0.39 tff(52,plain,
% 0.19/0.39 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) | (v_C = v_Ba)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.19/0.39 tff(53,plain,
% 0.19/0.39 ((v_C = v_Ba) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[52, 46])).
% 0.19/0.39 tff(54,plain,
% 0.19/0.39 (v_C = v_Ba),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[53, 42])).
% 0.19/0.39 tff(55,plain,
% 0.19/0.39 (v_Ba = v_C),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[54, 2])).
% 0.19/0.39 tff(56,plain,
% 0.19/0.39 (((~(v_Ba = v_C)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) <=> ((~(v_Ba = v_C)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(57,axiom,((~(v_Ba = v_C)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_32')).
% 0.19/0.39 tff(58,plain,
% 0.19/0.39 ((~(v_Ba = v_C)) | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.19/0.39 tff(59,plain,
% 0.19/0.39 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[58, 55])).
% 0.19/0.39 tff(60,plain,
% 0.19/0.39 (((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))) <=> ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(61,plain,
% 0.19/0.39 ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(62,plain,
% 0.19/0.39 ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.19/0.39 tff(63,plain,
% 0.19/0.39 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[62, 37, 59])).
% 0.19/0.39 tff(64,plain,
% 0.19/0.39 (((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))) <=> ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(65,plain,
% 0.19/0.39 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(66,plain,
% 0.19/0.39 ((~![V_Y: $i, V_H: $i, V_X: $i] : ((~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.19/0.40 tff(67,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[66, 24, 17, 63])).
% 0.19/0.40 % SZS output end Proof
%------------------------------------------------------------------------------