TSTP Solution File: SWV307-2 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV307-2 : 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 : n027.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 23:03:34 EDT 2023
% Result : Unsatisfiable 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV307-2 : 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
% 0.12/0.34 % Computer : n027.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 08:20:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.38 Command-line arguments: --no-flatten-goal
% 0.20/0.38
% 0.20/0.38 % SZS status Unsatisfiable
% 0.20/0.38
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 Take the following subset of the input axioms:
% 0.20/0.39 fof(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0, axiom, ![V_c, V_evs]: (~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))).
% 0.20/0.39 fof(cls_Message_OMPair__parts_1, axiom, ![V_X, V_Y, V_H]: (~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))).
% 0.20/0.39 fof(cls_Message_Oparts_OBody__dest_0, axiom, ![V_K, V_X2, V_H2]: (~c_in(c_Message_Omsg_OCrypt(V_K, V_X2), c_Message_Oparts(V_H2), tc_Message_Omsg) | c_in(V_X2, c_Message_Oparts(V_H2), tc_Message_Omsg))).
% 0.20/0.39 fof(cls_conjecture_2, negated_conjecture, ~c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg)).
% 0.20/0.39 fof(cls_conjecture_4, negated_conjecture, 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)).
% 0.20/0.39 fof(cls_conjecture_6, negated_conjecture, v_NA=c_Message_Omsg_ONonce(v_NB)).
% 0.20/0.39
% 0.20/0.39 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.20/0.39 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.20/0.39 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.20/0.39 fresh(y, y, x1...xn) = u
% 0.20/0.39 C => fresh(s, t, x1...xn) = v
% 0.20/0.39 where fresh is a fresh function symbol and x1..xn are the free
% 0.20/0.39 variables of u and v.
% 0.20/0.39 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.20/0.39 input problem has no model of domain size 1).
% 0.20/0.39
% 0.20/0.39 The encoding turns the above axioms into the following unit equations and goals:
% 0.20/0.39
% 0.20/0.39 Axiom 1 (cls_conjecture_6): v_NA = c_Message_Omsg_ONonce(v_NB).
% 0.20/0.39 Axiom 2 (cls_Message_Oparts_OBody__dest_0): fresh(X, X, Y, Z) = true.
% 0.20/0.39 Axiom 3 (cls_Message_OMPair__parts_1): fresh3(X, X, Y, Z) = true.
% 0.20/0.39 Axiom 4 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0): fresh2(X, X, Y, Z) = true.
% 0.20/0.39 Axiom 5 (cls_Message_Oparts_OBody__dest_0): fresh(c_in(c_Message_Omsg_OCrypt(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true, Y, Z) = c_in(Y, c_Message_Oparts(Z), tc_Message_Omsg).
% 0.20/0.39 Axiom 6 (cls_Message_OMPair__parts_1): fresh3(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true, X, Z) = c_in(X, c_Message_Oparts(Z), tc_Message_Omsg).
% 0.20/0.39 Axiom 7 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0): fresh2(c_in(X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, Y)), tc_Message_Omsg), true, X, Y) = c_in(X, c_Event_Oused(Y), tc_Message_Omsg).
% 0.20/0.39 Axiom 8 (cls_conjecture_4): 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.
% 0.20/0.39
% 0.20/0.39 Goal 1 (cls_conjecture_2): c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg) = true.
% 0.20/0.39 Proof:
% 0.20/0.39 c_in(c_Message_Omsg_ONonce(v_NB), c_Event_Oused(v_evs2), tc_Message_Omsg)
% 0.20/0.39 = { by axiom 1 (cls_conjecture_6) R->L }
% 0.20/0.39 c_in(v_NA, c_Event_Oused(v_evs2), tc_Message_Omsg)
% 0.20/0.39 = { by axiom 7 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) R->L }
% 0.20/0.39 fresh2(c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), tc_Message_Omsg), true, v_NA, v_evs2)
% 0.20/0.39 = { by axiom 6 (cls_Message_OMPair__parts_1) R->L }
% 0.20/0.39 fresh2(fresh3(c_in(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, v_NA, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), true, v_NA, v_evs2)
% 0.20/0.39 = { by axiom 5 (cls_Message_Oparts_OBody__dest_0) R->L }
% 0.20/0.39 fresh2(fresh3(fresh(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, 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, v_NA, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), true, v_NA, v_evs2)
% 0.20/0.39 = { by axiom 8 (cls_conjecture_4) }
% 0.20/0.39 fresh2(fresh3(fresh(true, 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, v_NA, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), true, v_NA, v_evs2)
% 0.20/0.39 = { by axiom 2 (cls_Message_Oparts_OBody__dest_0) }
% 0.20/0.39 fresh2(fresh3(true, true, v_NA, c_Event_Oknows(c_Message_Oagent_OSpy, v_evs2)), true, v_NA, v_evs2)
% 0.20/0.39 = { by axiom 3 (cls_Message_OMPair__parts_1) }
% 0.20/0.39 fresh2(true, true, v_NA, v_evs2)
% 0.20/0.39 = { by axiom 4 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) }
% 0.20/0.39 true
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39
% 0.20/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
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