TSTP Solution File: SWV364-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV364-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n003.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 Aug 31 23:03:58 EDT 2023
% Result : Unsatisfiable 62.31s 8.30s
% Output : Proof 62.84s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV364-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n003.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 : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:13:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 62.31/8.30 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 62.31/8.30
% 62.31/8.30 % SZS status Unsatisfiable
% 62.31/8.30
% 62.84/8.30 % SZS output start Proof
% 62.84/8.30 Take the following subset of the input axioms:
% 62.84/8.30 fof(cls_Message_OMPair__analz_0, axiom, ![V_X, V_H, V_Y]: (~c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oanalz(V_H), tc_Message_Omsg) | c_in(V_Y, c_Message_Oanalz(V_H), tc_Message_Omsg))).
% 62.84/8.30 fof(cls_Yahalom_OGets__imp__analz__Spy__dest_0, axiom, ![V_B, V_evs, V_X2]: (~c_in(V_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) | (~c_in(c_Event_Oevent_OGets(V_B, V_X2), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent) | c_in(V_X2, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg)))).
% 62.84/8.30 fof(cls_conjecture_0, negated_conjecture, c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent)).
% 62.84/8.30 fof(cls_conjecture_1, negated_conjecture, c_in(v_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent))).
% 62.84/8.30 fof(cls_conjecture_2, negated_conjecture, ~c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)).
% 62.84/8.30
% 62.84/8.30 Now clausify the problem and encode Horn clauses using encoding 3 of
% 62.84/8.30 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 62.84/8.30 We repeatedly replace C & s=t => u=v by the two clauses:
% 62.84/8.30 fresh(y, y, x1...xn) = u
% 62.84/8.30 C => fresh(s, t, x1...xn) = v
% 62.84/8.30 where fresh is a fresh function symbol and x1..xn are the free
% 62.84/8.30 variables of u and v.
% 62.84/8.30 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 62.84/8.30 input problem has no model of domain size 1).
% 62.84/8.30
% 62.84/8.30 The encoding turns the above axioms into the following unit equations and goals:
% 62.84/8.30
% 62.84/8.30 Axiom 1 (cls_conjecture_1): c_in(v_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) = true2.
% 62.84/8.30 Axiom 2 (cls_Message_OMPair__analz_0): fresh1133(X, X, Y, Z) = true2.
% 62.84/8.30 Axiom 3 (cls_Yahalom_OGets__imp__analz__Spy__dest_0): fresh995(X, X, Y, Z) = true2.
% 62.84/8.30 Axiom 4 (cls_Yahalom_OGets__imp__analz__Spy__dest_0): fresh996(X, X, Y, Z) = c_in(Z, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, Y)), tc_Message_Omsg).
% 62.84/8.30 Axiom 5 (cls_Message_OMPair__analz_0): fresh1133(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oanalz(Z), tc_Message_Omsg), true2, Y, Z) = c_in(Y, c_Message_Oanalz(Z), tc_Message_Omsg).
% 62.84/8.30 Axiom 6 (cls_Yahalom_OGets__imp__analz__Spy__dest_0): fresh996(c_in(c_Event_Oevent_OGets(X, Y), c_List_Oset(Z, tc_Event_Oevent), tc_Event_Oevent), true2, Z, Y) = fresh995(c_in(Z, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true2, Z, Y).
% 62.84/8.30 Axiom 7 (cls_conjecture_0): c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent) = true2.
% 62.84/8.30
% 62.84/8.30 Goal 1 (cls_conjecture_2): c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) = true2.
% 62.84/8.30 Proof:
% 62.84/8.30 c_in(v_X, c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)
% 62.84/8.30 = { by axiom 5 (cls_Message_OMPair__analz_0) R->L }
% 62.84/8.30 fresh1133(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg), true2, v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 62.84/8.30 = { by axiom 4 (cls_Yahalom_OGets__imp__analz__Spy__dest_0) R->L }
% 62.84/8.30 fresh1133(fresh996(true2, true2, v_evs, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), true2, v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 62.84/8.30 = { by axiom 7 (cls_conjecture_0) R->L }
% 62.84/8.30 fresh1133(fresh996(c_in(c_Event_Oevent_OGets(v_A, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent), true2, v_evs, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), true2, v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 62.84/8.30 = { by axiom 6 (cls_Yahalom_OGets__imp__analz__Spy__dest_0) }
% 62.84/8.30 fresh1133(fresh995(c_in(v_evs, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true2, v_evs, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), true2, v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 62.84/8.30 = { by axiom 1 (cls_conjecture_1) }
% 62.84/8.30 fresh1133(fresh995(true2, true2, v_evs, c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), v_Y), v_X)), true2, v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 62.84/8.30 = { by axiom 3 (cls_Yahalom_OGets__imp__analz__Spy__dest_0) }
% 62.84/8.30 fresh1133(true2, true2, v_X, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 62.84/8.30 = { by axiom 2 (cls_Message_OMPair__analz_0) }
% 62.84/8.30 true2
% 62.84/8.30 % SZS output end Proof
% 62.84/8.30
% 62.84/8.30 RESULT: Unsatisfiable (the axioms are contradictory).
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