TSTP Solution File: SWV722-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV722-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n007.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 23:06:01 EDT 2023
% Result : Unsatisfiable 45.93s 6.12s
% Output : Proof 45.93s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV722-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 06:58:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 45.93/6.12 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 45.93/6.12
% 45.93/6.12 % SZS status Unsatisfiable
% 45.93/6.12
% 45.93/6.12 % SZS output start Proof
% 45.93/6.12 Take the following subset of the input axioms:
% 45.93/6.12 fof(cls_Says__imp__parts__knows__Spy_0, axiom, ![V_A, V_B, V_X, V_evs]: (c_in(V_X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) | ~c_in(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Oset(V_evs, tc_Event_Oevent), tc_Event_Oevent))).
% 45.93/6.12 fof(cls_conjecture_0, negated_conjecture, c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_A, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X))))), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent)).
% 45.93/6.12 fof(cls_conjecture_1, negated_conjecture, ~c_in(v_K, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)).
% 45.93/6.12 fof(cls_parts_OBody_0, axiom, ![V_K, V_H, V_X2]: (c_in(V_X2, c_Message_Oparts(V_H), tc_Message_Omsg) | ~c_in(c_Message_Omsg_OCrypt(V_K, V_X2), c_Message_Oparts(V_H), tc_Message_Omsg))).
% 45.93/6.12 fof(cls_parts_OFst_0, axiom, ![V_Y, V_X2, V_H2]: (c_in(V_X2, c_Message_Oparts(V_H2), tc_Message_Omsg) | ~c_in(c_Message_Omsg_OMPair(V_X2, V_Y), c_Message_Oparts(V_H2), tc_Message_Omsg))).
% 45.93/6.12 fof(cls_parts_OSnd_0, axiom, ![V_X2, V_H2, V_Y2]: (c_in(V_Y2, c_Message_Oparts(V_H2), tc_Message_Omsg) | ~c_in(c_Message_Omsg_OMPair(V_X2, V_Y2), c_Message_Oparts(V_H2), tc_Message_Omsg))).
% 45.93/6.12
% 45.93/6.12 Now clausify the problem and encode Horn clauses using encoding 3 of
% 45.93/6.12 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 45.93/6.12 We repeatedly replace C & s=t => u=v by the two clauses:
% 45.93/6.12 fresh(y, y, x1...xn) = u
% 45.93/6.12 C => fresh(s, t, x1...xn) = v
% 45.93/6.12 where fresh is a fresh function symbol and x1..xn are the free
% 45.93/6.12 variables of u and v.
% 45.93/6.12 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 45.93/6.12 input problem has no model of domain size 1).
% 45.93/6.12
% 45.93/6.12 The encoding turns the above axioms into the following unit equations and goals:
% 45.93/6.12
% 45.93/6.13 Axiom 1 (cls_Says__imp__parts__knows__Spy_0): fresh282(X, X, Y, Z) = true2.
% 45.93/6.13 Axiom 2 (cls_parts_OBody_0): fresh154(X, X, Y, Z) = true2.
% 45.93/6.13 Axiom 3 (cls_parts_OFst_0): fresh153(X, X, Y, Z) = true2.
% 45.93/6.13 Axiom 4 (cls_parts_OSnd_0): fresh151(X, X, Y, Z) = true2.
% 45.93/6.13 Axiom 5 (cls_parts_OBody_0): fresh154(c_in(c_Message_Omsg_OCrypt(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true2, Y, Z) = c_in(Y, c_Message_Oparts(Z), tc_Message_Omsg).
% 45.93/6.13 Axiom 6 (cls_parts_OFst_0): fresh153(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true2, X, Z) = c_in(X, c_Message_Oparts(Z), tc_Message_Omsg).
% 45.93/6.13 Axiom 7 (cls_parts_OSnd_0): fresh151(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true2, Y, Z) = c_in(Y, c_Message_Oparts(Z), tc_Message_Omsg).
% 45.93/6.13 Axiom 8 (cls_Says__imp__parts__knows__Spy_0): fresh282(c_in(c_Event_Oevent_OSays(X, Y, Z), c_List_Oset(W, tc_Event_Oevent), tc_Event_Oevent), true2, Z, W) = c_in(Z, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, W)), tc_Message_Omsg).
% 45.93/6.13 Axiom 9 (cls_conjecture_0): c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_A, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X))))), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent) = true2.
% 45.93/6.13
% 45.93/6.13 Goal 1 (cls_conjecture_1): c_in(v_K, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg) = true2.
% 45.93/6.13 Proof:
% 45.93/6.13 c_in(v_K, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg)
% 45.93/6.13 = { by axiom 6 (cls_parts_OFst_0) R->L }
% 45.93/6.13 fresh153(c_in(c_Message_Omsg_OMPair(v_K, v_X), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 7 (cls_parts_OSnd_0) R->L }
% 45.93/6.13 fresh153(fresh151(c_in(c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg), true2, c_Message_Omsg_OMPair(v_K, v_X), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 7 (cls_parts_OSnd_0) R->L }
% 45.93/6.13 fresh153(fresh151(fresh151(c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg), true2, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_K, v_X), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 5 (cls_parts_OBody_0) R->L }
% 45.93/6.13 fresh153(fresh151(fresh151(fresh154(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), tc_Message_Omsg), true2, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_K, v_X), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 8 (cls_Says__imp__parts__knows__Spy_0) R->L }
% 45.93/6.13 fresh153(fresh151(fresh151(fresh154(fresh282(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer, v_A, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X))))), c_List_Oset(v_evs, tc_Event_Oevent), tc_Event_Oevent), true2, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)))), v_evs), true2, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_K, v_X), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 9 (cls_conjecture_0) }
% 45.93/6.13 fresh153(fresh151(fresh151(fresh154(fresh282(true2, true2, c_Message_Omsg_OCrypt(c_Public_OshrK(v_A), c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)))), v_evs), true2, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_K, v_X), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 1 (cls_Says__imp__parts__knows__Spy_0) }
% 45.93/6.13 fresh153(fresh151(fresh151(fresh154(true2, true2, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X))), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_K, v_X), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 2 (cls_parts_OBody_0) }
% 45.93/6.13 fresh153(fresh151(fresh151(true2, true2, c_Message_Omsg_OMPair(v_B, c_Message_Omsg_OMPair(v_K, v_X)), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, c_Message_Omsg_OMPair(v_K, v_X), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 4 (cls_parts_OSnd_0) }
% 45.93/6.13 fresh153(fresh151(true2, true2, c_Message_Omsg_OMPair(v_K, v_X), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs)), true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 4 (cls_parts_OSnd_0) }
% 45.93/6.13 fresh153(true2, true2, v_K, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs))
% 45.93/6.13 = { by axiom 3 (cls_parts_OFst_0) }
% 45.93/6.13 true2
% 45.93/6.13 % SZS output end Proof
% 45.93/6.13
% 45.93/6.13 RESULT: Unsatisfiable (the axioms are contradictory).
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