%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV326-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:32:08 AM UTC 2025
% Result : Unsatisfiable 0.24s 0.41s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : SWV326-2 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Jun 20 09:42:25 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.24/0.41 % SZS status Unsatisfiable
% 0.24/0.41 % SZS output start Proof
% 0.24/0.41 tff(c_in_type, type, (
% 0.24/0.41 c_in: ( $i * $i * $i ) > $o)).
% 0.24/0.41 tff(tc_Message_Omsg_type, type, (
% 0.24/0.41 tc_Message_Omsg: $i)).
% 0.24/0.41 tff(c_Message_Oparts_type, type, (
% 0.24/0.41 c_Message_Oparts: $i > $i)).
% 0.24/0.41 tff(c_Event_Oknows_type, type, (
% 0.24/0.41 c_Event_Oknows: ( $i * $i ) > $i)).
% 0.24/0.41 tff(v_evs1_type, type, (
% 0.24/0.41 v_evs1: $i)).
% 0.24/0.41 tff(c_Message_Oagent_OSpy_type, type, (
% 0.24/0.41 c_Message_Oagent_OSpy: $i)).
% 0.24/0.41 tff(c_Message_Omsg_OMPair_type, type, (
% 0.24/0.41 c_Message_Omsg_OMPair: ( $i * $i ) > $i)).
% 0.24/0.41 tff(c_Message_Omsg_OAgent_type, type, (
% 0.24/0.41 c_Message_Omsg_OAgent: $i > $i)).
% 0.24/0.41 tff(v_B_type, type, (
% 0.24/0.41 v_B: $i)).
% 0.24/0.41 tff(v_Aa_type, type, (
% 0.24/0.41 v_Aa: $i)).
% 0.24/0.41 tff(c_Message_Omsg_ONonce_type, type, (
% 0.24/0.41 c_Message_Omsg_ONonce: $i > $i)).
% 0.24/0.41 tff(v_NAa_type, type, (
% 0.24/0.41 v_NAa: $i)).
% 0.24/0.41 tff(c_Event_Oused_type, type, (
% 0.24/0.41 c_Event_Oused: $i > $i)).
% 0.24/0.41 tff(c_Message_Omsg_OCrypt_type, type, (
% 0.24/0.41 c_Message_Omsg_OCrypt: ( $i * $i ) > $i)).
% 0.24/0.41 tff(c_Public_OshrK_type, type, (
% 0.24/0.41 c_Public_OshrK: $i > $i)).
% 0.24/0.41 tff(v_C_type, type, (
% 0.24/0.41 v_C: $i)).
% 0.24/0.41 tff(v_Ba_type, type, (
% 0.24/0.41 v_Ba: $i)).
% 0.24/0.41 tff(v_A_type, type, (
% 0.24/0.41 v_A: $i)).
% 0.24/0.41 tff(v_NA_type, type, (
% 0.24/0.41 v_NA: $i)).
% 0.24/0.41 tff(1,plain,
% 0.24/0.41 ((~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))),
% 0.24/0.41 inference(rewrite,[status(thm)],[])).
% 0.24/0.41 tff(2,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')).
% 0.24/0.41 tff(3,plain,
% 0.24/0.41 (~c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg)),
% 0.24/0.41 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.24/0.41 tff(4,plain,
% 0.24/0.41 (^[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)))),
% 0.24/0.41 inference(bind,[status(th)],[])).
% 0.24/0.41 tff(5,plain,
% 0.24/0.41 (![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))),
% 0.24/0.41 inference(quant_intro,[status(thm)],[4])).
% 0.24/0.41 tff(6,plain,
% 0.24/0.41 (![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))),
% 0.24/0.41 inference(rewrite,[status(thm)],[])).
% 0.24/0.41 tff(7,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')).
% 0.24/0.41 tff(8,plain,
% 0.24/0.41 (![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))),
% 0.24/0.41 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.24/0.41 tff(9,plain,(
% 0.24/0.41 ![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))),
% 0.24/0.41 inference(skolemize,[status(sab)],[8])).
% 0.24/0.41 tff(10,plain,
% 0.24/0.41 (![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))),
% 0.24/0.41 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.24/0.41 tff(11,plain,
% 0.24/0.41 (((~![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))),
% 0.24/0.41 inference(rewrite,[status(thm)],[])).
% 0.24/0.41 tff(12,plain,
% 0.24/0.41 ((~![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))),
% 0.24/0.41 inference(quant_inst,[status(thm)],[])).
% 0.24/0.41 tff(13,plain,
% 0.24/0.41 ((~![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)),
% 0.24/0.41 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.24/0.41 tff(14,plain,
% 0.24/0.41 (~c_in(c_Message_Omsg_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.24/0.41 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.24/0.41 tff(15,plain,
% 0.24/0.41 (^[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)))),
% 0.24/0.41 inference(bind,[status(th)],[])).
% 0.24/0.41 tff(16,plain,
% 0.24/0.41 (![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))),
% 0.24/0.41 inference(quant_intro,[status(thm)],[15])).
% 0.24/0.41 tff(17,plain,
% 0.24/0.41 (![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))),
% 0.24/0.41 inference(rewrite,[status(thm)],[])).
% 0.24/0.41 tff(18,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')).
% 0.24/0.41 tff(19,plain,
% 0.24/0.41 (![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))),
% 0.24/0.41 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.24/0.41 tff(20,plain,(
% 0.24/0.41 ![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))),
% 0.24/0.41 inference(skolemize,[status(sab)],[19])).
% 0.24/0.41 tff(21,plain,
% 0.24/0.41 (![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))),
% 0.24/0.41 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.24/0.41 tff(22,plain,
% 0.24/0.41 (((~![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))),
% 0.24/0.41 inference(rewrite,[status(thm)],[])).
% 0.24/0.41 tff(23,plain,
% 0.24/0.41 ((~![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))),
% 0.24/0.41 inference(quant_inst,[status(thm)],[])).
% 0.24/0.41 tff(24,plain,
% 0.24/0.41 ((~![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)),
% 0.24/0.41 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.24/0.41 tff(25,plain,
% 0.24/0.41 (~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)),
% 0.24/0.41 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 0.24/0.41 tff(26,plain,
% 0.24/0.41 ((v_Ba = v_C) <=> (v_C = v_Ba)),
% 0.24/0.41 inference(commutativity,[status(thm)],[])).
% 0.24/0.41 tff(27,plain,
% 0.24/0.41 ((v_C = v_Ba) <=> (v_Ba = v_C)),
% 0.24/0.41 inference(symmetry,[status(thm)],[26])).
% 0.24/0.41 tff(28,plain,
% 0.24/0.41 ((v_A = v_Aa) <=> (v_A = v_Aa)),
% 0.24/0.41 inference(rewrite,[status(thm)],[])).
% 0.24/0.41 tff(29,axiom,(v_A = v_Aa), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_3')).
% 0.24/0.41 tff(30,plain,
% 0.24/0.41 (v_A = v_Aa),
% 0.24/0.41 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.24/0.41 tff(31,plain,
% 0.24/0.41 (c_Public_OshrK(v_A) = c_Public_OshrK(v_Aa)),
% 0.24/0.41 inference(monotonicity,[status(thm)],[30])).
% 0.24/0.41 tff(32,plain,
% 0.24/0.41 (c_Public_OshrK(v_Aa) = c_Public_OshrK(v_A)),
% 0.24/0.41 inference(symmetry,[status(thm)],[31])).
% 0.24/0.42 tff(33,plain,
% 0.24/0.42 (c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))) = 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))))),
% 0.24/0.42 inference(monotonicity,[status(thm)],[32])).
% 0.24/0.42 tff(34,plain,
% 0.24/0.42 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), 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_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)),
% 0.24/0.42 inference(monotonicity,[status(thm)],[33])).
% 0.24/0.42 tff(35,plain,
% 0.24/0.42 (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(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)),
% 0.24/0.42 inference(symmetry,[status(thm)],[34])).
% 0.24/0.42 tff(36,assumption,(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)), introduced(assumption)).
% 0.24/0.42 tff(37,plain,
% 0.24/0.42 (c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), 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)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.24/0.42 tff(38,plain,
% 0.24/0.42 ((v_NA = c_Message_Omsg_ONonce(v_NAa)) <=> (v_NA = c_Message_Omsg_ONonce(v_NAa))),
% 0.24/0.42 inference(rewrite,[status(thm)],[])).
% 0.24/0.42 tff(39,axiom,(v_NA = c_Message_Omsg_ONonce(v_NAa)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cls_conjecture_5')).
% 0.24/0.42 tff(40,plain,
% 0.24/0.42 (v_NA = c_Message_Omsg_ONonce(v_NAa)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.24/0.42 tff(41,plain,
% 0.24/0.42 (c_Message_Omsg_ONonce(v_NAa) = v_NA),
% 0.24/0.42 inference(symmetry,[status(thm)],[40])).
% 0.24/0.42 tff(42,plain,
% 0.24/0.42 (c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C))) = c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))),
% 0.24/0.42 inference(monotonicity,[status(thm)],[41])).
% 0.24/0.42 tff(43,plain,
% 0.24/0.42 (c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), 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_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)),
% 0.24/0.42 inference(monotonicity,[status(thm)],[42])).
% 0.24/0.42 tff(44,plain,
% 0.24/0.42 ((~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), 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_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))),
% 0.24/0.42 inference(monotonicity,[status(thm)],[43])).
% 0.24/0.42 tff(45,plain,
% 0.24/0.42 (((~![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_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_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_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_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.24/0.42 inference(rewrite,[status(thm)],[])).
% 0.24/0.42 tff(46,plain,
% 0.24/0.42 ((~![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_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_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg))),
% 0.24/0.42 inference(quant_inst,[status(thm)],[])).
% 0.24/0.42 tff(47,plain,
% 0.24/0.42 ((~![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_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_ONonce(v_NAa), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.24/0.42 tff(48,plain,
% 0.24/0.42 (~c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), 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)),
% 0.24/0.42 inference(unit_resolution,[status(thm)],[47, 21, 14])).
% 0.24/0.42 tff(49,plain,
% 0.24/0.42 (~c_in(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)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.24/0.42 tff(50,plain,
% 0.24/0.42 (^[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)))),
% 0.24/0.42 inference(bind,[status(th)],[])).
% 0.24/0.42 tff(51,plain,
% 0.24/0.42 (![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))),
% 0.24/0.42 inference(quant_intro,[status(thm)],[50])).
% 0.24/0.42 tff(52,plain,
% 0.24/0.42 (![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))),
% 0.24/0.42 inference(rewrite,[status(thm)],[])).
% 0.24/0.42 tff(53,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')).
% 0.24/0.42 tff(54,plain,
% 0.24/0.42 (![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))),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.24/0.42 tff(55,plain,(
% 0.24/0.42 ![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))),
% 0.24/0.42 inference(skolemize,[status(sab)],[54])).
% 0.24/0.42 tff(56,plain,
% 0.24/0.42 (![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))),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.24/0.42 tff(57,plain,
% 0.24/0.42 (((~![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(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_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_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(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_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))),
% 0.24/0.42 inference(rewrite,[status(thm)],[])).
% 0.24/0.42 tff(58,plain,
% 0.24/0.42 ((~![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(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_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))),
% 0.24/0.42 inference(quant_inst,[status(thm)],[])).
% 0.24/0.42 tff(59,plain,
% 0.24/0.42 ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.24/0.42 tff(60,plain,
% 0.24/0.42 ((~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_C))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.24/0.42 inference(unit_resolution,[status(thm)],[59, 56])).
% 0.24/0.42 tff(61,plain,
% 0.24/0.42 ($false),
% 0.24/0.42 inference(unit_resolution,[status(thm)],[60, 49, 37])).
% 0.24/0.42 tff(62,plain,(~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)), inference(lemma,lemma(discharge,[]))).
% 0.24/0.42 tff(63,plain,
% 0.24/0.42 ((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))),
% 0.24/0.42 inference(rewrite,[status(thm)],[])).
% 0.24/0.42 tff(64,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')).
% 0.24/0.42 tff(65,plain,
% 0.24/0.42 (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)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.24/0.42 tff(66,plain,
% 0.24/0.42 (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)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[65, 63])).
% 0.24/0.42 tff(67,plain,
% 0.24/0.42 (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)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[66, 63])).
% 0.24/0.42 tff(68,plain,
% 0.24/0.42 (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)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.24/0.42 tff(69,plain,
% 0.24/0.42 (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)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[68, 63])).
% 0.24/0.42 tff(70,plain,
% 0.24/0.42 (v_C = v_Ba),
% 0.24/0.42 inference(unit_resolution,[status(thm)],[69, 62])).
% 0.24/0.42 tff(71,plain,
% 0.24/0.42 (v_Ba = v_C),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[70, 27])).
% 0.24/0.42 tff(72,plain,
% 0.24/0.42 (((~(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))),
% 0.24/0.42 inference(rewrite,[status(thm)],[])).
% 0.24/0.42 tff(73,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')).
% 0.24/0.42 tff(74,plain,
% 0.24/0.42 ((~(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)),
% 0.24/0.42 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.24/0.42 tff(75,plain,
% 0.24/0.42 (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)),
% 0.24/0.42 inference(unit_resolution,[status(thm)],[74, 71])).
% 0.24/0.42 tff(76,plain,
% 0.24/0.42 (((~![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))),
% 0.24/0.43 inference(rewrite,[status(thm)],[])).
% 0.24/0.43 tff(77,plain,
% 0.24/0.43 ((~![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))),
% 0.24/0.43 inference(quant_inst,[status(thm)],[])).
% 0.24/0.43 tff(78,plain,
% 0.24/0.43 ((~![V_H: $i, V_X: $i, V_K: $i] : ((~c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg)) | c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg))) | (~c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)) | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa), c_Message_Omsg_OAgent(v_B))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg)),
% 0.24/0.43 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.24/0.43 tff(79,plain,
% 0.24/0.43 ($false),
% 0.24/0.43 inference(unit_resolution,[status(thm)],[78, 56, 75, 25])).
% 0.24/0.43 % SZS output end Proof
% 0.24/0.43 % E exiting
%------------------------------------------------------------------------------