TSTP Solution File: SWV320-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV320-1 : 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 : 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 : Thu Aug 31 23:03:39 EDT 2023
% Result : Unsatisfiable 241.79s 31.43s
% Output : Proof 241.79s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV320-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 08:29:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 241.79/31.43 Command-line arguments: --flip-ordering --lhs-weight 1 --depth-weight 60 --distributivity-heuristic
% 241.79/31.43
% 241.79/31.43 % SZS status Unsatisfiable
% 241.79/31.43
% 241.79/31.43 % SZS output start Proof
% 241.79/31.43 Take the following subset of the input axioms:
% 241.79/31.44 fof(cls_OtwayRees_OSpy__see__shrK_0, axiom, ![V_A, V_evs]: (~c_in(V_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) | (~c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) | c_in(V_A, c_Event_Obad, tc_Message_Oagent)))).
% 241.79/31.44 fof(cls_conjecture_0, negated_conjecture, c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)).
% 241.79/31.44 fof(cls_conjecture_1, negated_conjecture, c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent))).
% 241.79/31.44 fof(cls_conjecture_2, negated_conjecture, ~c_in(v_A, c_Event_Obad, tc_Message_Oagent)).
% 241.79/31.44
% 241.79/31.44 Now clausify the problem and encode Horn clauses using encoding 3 of
% 241.79/31.44 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 241.79/31.44 We repeatedly replace C & s=t => u=v by the two clauses:
% 241.79/31.44 fresh(y, y, x1...xn) = u
% 241.79/31.44 C => fresh(s, t, x1...xn) = v
% 241.79/31.44 where fresh is a fresh function symbol and x1..xn are the free
% 241.79/31.44 variables of u and v.
% 241.79/31.44 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 241.79/31.44 input problem has no model of domain size 1).
% 241.79/31.44
% 241.79/31.44 The encoding turns the above axioms into the following unit equations and goals:
% 241.79/31.44
% 241.79/31.44 Axiom 1 (cls_OtwayRees_OSpy__see__shrK_0): fresh1407(X, X, Y) = true2.
% 241.79/31.44 Axiom 2 (cls_conjecture_1): c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)) = true2.
% 241.79/31.44 Axiom 3 (cls_OtwayRees_OSpy__see__shrK_0): fresh1408(X, X, Y, Z) = c_in(Z, c_Event_Obad, tc_Message_Oagent).
% 241.79/31.44 Axiom 4 (cls_conjecture_0): c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) = true2.
% 241.79/31.44 Axiom 5 (cls_OtwayRees_OSpy__see__shrK_0): fresh1408(c_in(c_Message_Omsg_OKey(c_Public_OshrK(X)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, Y)), tc_Message_Omsg), true2, Y, X) = fresh1407(c_in(Y, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), true2, X).
% 241.79/31.44
% 241.79/31.44 Goal 1 (cls_conjecture_2): c_in(v_A, c_Event_Obad, tc_Message_Oagent) = true2.
% 241.79/31.44 Proof:
% 241.79/31.44 c_in(v_A, c_Event_Obad, tc_Message_Oagent)
% 241.79/31.44 = { by axiom 3 (cls_OtwayRees_OSpy__see__shrK_0) R->L }
% 241.79/31.44 fresh1408(true2, true2, v_evs, v_A)
% 241.79/31.44 = { by axiom 4 (cls_conjecture_0) R->L }
% 241.79/31.44 fresh1408(c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg), true2, v_evs, v_A)
% 241.79/31.44 = { by axiom 5 (cls_OtwayRees_OSpy__see__shrK_0) }
% 241.79/31.44 fresh1407(c_in(v_evs, c_OtwayRees_Ootway, tc_List_Olist(tc_Event_Oevent)), true2, v_A)
% 241.79/31.44 = { by axiom 2 (cls_conjecture_1) }
% 241.79/31.44 fresh1407(true2, true2, v_A)
% 241.79/31.44 = { by axiom 1 (cls_OtwayRees_OSpy__see__shrK_0) }
% 241.79/31.44 true2
% 241.79/31.44 % SZS output end Proof
% 241.79/31.44
% 241.79/31.44 RESULT: Unsatisfiable (the axioms are contradictory).
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