TSTP Solution File: SWV331-2 by Moca---0.1
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%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n025.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 20:43:14 EDT 2022
% Result : Unsatisfiable 1.45s 1.61s
% Output : Proof 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.15 % Command : moca.sh %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 15:03:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.45/1.61 % SZS status Unsatisfiable
% 1.45/1.61 % SZS output start Proof
% 1.45/1.61 The input problem is unsatisfiable because
% 1.45/1.61
% 1.45/1.61 [1] the following set of Horn clauses is unsatisfiable:
% 1.45/1.61
% 1.45/1.61 c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent))
% 1.45/1.61 c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg) ==> \bottom
% 1.45/1.61 c_in(v_K, c_Message_OsymKeys, tc_nat)
% 1.45/1.61 c_in(c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)
% 1.45/1.61 c_in(V_K, c_Message_OsymKeys, tc_nat) & c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg) ==> c_in(V_K, c_Message_OkeysFor(V_H), tc_nat)
% 1.45/1.61 c_in(V_K, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs))), tc_nat) & c_in(V_K, c_Message_OsymKeys, tc_nat) & c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) ==> c_in(c_Message_Omsg_OKey(V_K), c_Event_Oused(V_evs), tc_Message_Omsg)
% 1.45/1.61
% 1.45/1.61 This holds because
% 1.45/1.61
% 1.45/1.61 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 1.45/1.61
% 1.45/1.61 E:
% 1.45/1.61 c_in(c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) = true__
% 1.45/1.61 c_in(v_K, c_Message_OsymKeys, tc_nat) = true__
% 1.45/1.61 c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) = true__
% 1.45/1.61 f1(c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) = true__
% 1.45/1.61 f1(true__) = false__
% 1.45/1.61 f2(true__, V_K, V_H) = c_in(V_K, c_Message_OkeysFor(V_H), tc_nat)
% 1.45/1.61 f3(c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg), V_K, V_H) = true__
% 1.45/1.61 f3(true__, V_K, V_H) = f2(c_in(V_K, c_Message_OsymKeys, tc_nat), V_K, V_H)
% 1.45/1.61 f4(true__, V_K, V_evs) = c_in(c_Message_Omsg_OKey(V_K), c_Event_Oused(V_evs), tc_Message_Omsg)
% 1.45/1.61 f5(true__, V_K, V_evs) = f4(c_in(V_K, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs))), tc_nat), V_K, V_evs)
% 1.45/1.61 f6(c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), V_K, V_evs) = true__
% 1.45/1.61 f6(true__, V_K, V_evs) = f5(c_in(V_K, c_Message_OsymKeys, tc_nat), V_K, V_evs)
% 1.45/1.61 G:
% 1.45/1.61 true__ = false__
% 1.45/1.61
% 1.45/1.61 This holds because
% 1.45/1.61
% 1.45/1.61 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 1.45/1.61
% 1.45/1.61
% 1.45/1.61 c_in(V_K, c_Message_OkeysFor(V_H), tc_nat) -> f2(true__, V_K, V_H)
% 1.45/1.61 c_in(c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) -> true__
% 1.45/1.61 c_in(c_Message_Omsg_OKey(V_K), c_Event_Oused(V_evs), tc_Message_Omsg) -> f4(true__, V_K, V_evs)
% 1.45/1.61 c_in(v_K, c_Message_OsymKeys, tc_nat) -> true__
% 1.45/1.61 c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) -> true__
% 1.45/1.61 f1(c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) -> true__
% 1.45/1.61 f1(f4(true__, v_K, v_evs3)) -> true__
% 1.45/1.61 f1(true__) -> false__
% 1.45/1.61 f2(c_in(V_K, c_Message_OsymKeys, tc_nat), V_K, V_H) -> f3(true__, V_K, V_H)
% 1.45/1.61 f2(true__, v_K, Y1) -> f3(true__, v_K, Y1)
% 1.45/1.61 f3(c_in(c_Message_Omsg_OCrypt(V_K, V_X), V_H, tc_Message_Omsg), V_K, V_H) -> true__
% 1.45/1.61 f3(true__, v_K, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))) -> true__
% 1.45/1.61 f4(true__, v_K, v_evs3) -> true__
% 1.45/1.61 f5(c_in(V_K, c_Message_OsymKeys, tc_nat), V_K, V_evs) -> f6(true__, V_K, V_evs)
% 1.45/1.61 f5(true__, V_K, V_evs) -> f4(c_in(V_K, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs))), tc_nat), V_K, V_evs)
% 1.45/1.61 f6(c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), V_K, V_evs) -> true__
% 1.45/1.61 f6(true__, Y1, v_evs3) -> true__
% 1.45/1.61 f6(true__, v_K, Y1) -> f4(f2(true__, v_K, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, Y1))), v_K, Y1)
% 1.45/1.61 false__ -> true__
% 1.45/1.61 with the LPO induced by
% 1.45/1.61 f5 > f6 > c_in > f2 > c_Message_OkeysFor > f3 > c_Message_OsymKeys > tc_nat > c_Message_Oagent_OSpy > f4 > tc_Message_Omsg > c_Event_Oknows > c_Message_Oparts > v_NB > c_Message_Omsg_ONonce > c_Message_Omsg_OCrypt > c_Event_Oused > v_K > c_Message_Omsg_OKey > f1 > tc_Event_Oevent > tc_List_Olist > c_Yahalom_Oyahalom > v_evs3 > false__ > true__
% 1.45/1.61
% 1.45/1.61 % SZS output end Proof
% 1.45/1.61
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