TSTP Solution File: SWV307-2 by Moca---0.1
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%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : SWV307-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n011.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 : 600s
% DateTime : Wed Jul 20 20:42:58 EDT 2022
% Result : Unsatisfiable 1.62s 1.78s
% Output : Proof 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV307-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : moca.sh %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 16:15:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.62/1.78 % SZS status Unsatisfiable
% 1.62/1.78 % SZS output start Proof
% 1.62/1.78 The input problem is unsatisfiable because
% 1.62/1.78
% 1.62/1.78 [1] the following set of Horn clauses is unsatisfiable:
% 1.62/1.78
% 1.62/1.78 c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg) ==> \bottom
% 1.62/1.78 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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg)
% 1.62/1.78 v_NA = c_Message_Omsg_ONonce(v_NB)
% 1.62/1.78 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)
% 1.62/1.78 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)
% 1.62/1.78 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)
% 1.62/1.78
% 1.62/1.78 This holds because
% 1.62/1.78
% 1.62/1.78 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 1.62/1.78
% 1.62/1.78 E:
% 1.62/1.78 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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) = true__
% 1.62/1.78 f1(c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg)) = true__
% 1.62/1.78 f1(true__) = false__
% 1.62/1.78 f2(c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_c, V_evs) = true__
% 1.62/1.78 f2(true__, V_c, V_evs) = c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)
% 1.62/1.78 f3(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) = true__
% 1.62/1.78 f3(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 1.62/1.78 f4(c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) = true__
% 1.62/1.78 f4(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 1.62/1.78 v_NA = c_Message_Omsg_ONonce(v_NB)
% 1.62/1.78 G:
% 1.62/1.78 true__ = false__
% 1.62/1.78
% 1.62/1.78 This holds because
% 1.62/1.78
% 1.62/1.78 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 1.62/1.78
% 1.62/1.78
% 1.62/1.78 c_Message_Omsg_ONonce(v_NB) -> v_NA
% 1.62/1.78 c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) -> f3(true__, V_X, V_H)
% 1.62/1.78 c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg) -> f2(true__, V_c, V_evs)
% 1.62/1.78 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_B)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg) -> true__
% 1.62/1.78 f1(c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg)) -> true__
% 1.62/1.78 f1(f2(true__, v_NA, v_evs2)) -> true__
% 1.62/1.78 f1(true__) -> false__
% 1.62/1.78 f2(c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_c, V_evs) -> true__
% 1.62/1.78 f2(f3(true__, Y0, c_Event_Oknows(c_Message_Oagent_OSpy, Y1)), Y0, Y1) -> true__
% 1.62/1.78 f2(true__, 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_B)))), v_evs2) -> true__
% 1.62/1.78 f2(true__, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))), v_evs2) -> true__
% 1.62/1.78 f2(true__, v_NA, v_evs2) -> true__
% 1.62/1.78 f3(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) -> true__
% 1.62/1.78 f3(f3(true__, c_Message_Omsg_OMPair(Y0, Y1), Y2), Y0, Y2) -> true__
% 1.62/1.78 f3(true__, 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_B)))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)) -> true__
% 1.62/1.78 f3(true__, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A), c_Message_Omsg_OAgent(v_B))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)) -> true__
% 1.62/1.78 f3(true__, v_NA, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)) -> true__
% 1.62/1.78 f4(c_in(c_Message_Omsg_OCrypt(V_K, V_X), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) -> true__
% 1.62/1.78 f4(f3(true__, c_Message_Omsg_OCrypt(Y0, Y1), Y2), Y1, Y2) -> true__
% 1.62/1.78 f4(true__, V_X, V_H) -> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 1.62/1.78 false__ -> true__
% 1.62/1.78 with the LPO induced by
% 1.62/1.78 f4 > c_in > f3 > f2 > tc_Message_Omsg > c_Message_Oagent_OSpy > c_Event_Oknows > c_Message_Oparts > v_B > c_Message_Omsg_OAgent > c_Message_Omsg_ONonce > v_NA > v_NB > c_Message_Omsg_OMPair > v_A > c_Public_OshrK > c_Message_Omsg_OCrypt > v_evs2 > c_Event_Oused > f1 > false__ > true__
% 1.62/1.78
% 1.62/1.78 % SZS output end Proof
% 1.62/1.78
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