%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV306-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:06:42 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.27s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV306-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 10:35:17 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.27 Command-line arguments: --no-flatten-goal
% 0.07/0.27
% 0.07/0.27 % SZS status Unsatisfiable
% 0.07/0.27
% 0.22/0.28 % SZS output start Proof
% 0.22/0.28 Axiom 1 (cls_conjecture_4): v_NA = c_Message_Omsg_ONonce(v_NAa).
% 0.22/0.28 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.22/0.28 Axiom 3 (cls_Message_Oparts_OBody__dest_0): ifeq(c_in(c_Message_Omsg_OCrypt(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true, c_in(Y, c_Message_Oparts(Z), tc_Message_Omsg), true) = true.
% 0.22/0.28 Axiom 4 (cls_Message_OMPair__parts_1): ifeq(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true, c_in(X, c_Message_Oparts(Z), tc_Message_Omsg), true) = true.
% 0.22/0.28 Axiom 5 (cls_Message_OMPair__parts_0): ifeq(c_in(c_Message_Omsg_OMPair(X, Y), c_Message_Oparts(Z), tc_Message_Omsg), true, c_in(Y, c_Message_Oparts(Z), tc_Message_Omsg), true) = true.
% 0.22/0.28 Axiom 6 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0): ifeq(c_in(X, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, Y)), tc_Message_Omsg), true, c_in(X, c_Event_Oused(Y), tc_Message_Omsg), true) = true.
% 0.22/0.28 Axiom 7 (cls_conjecture_7): c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg) = true.
% 0.22/0.28
% 0.22/0.28 Goal 1 (cls_conjecture_2): c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg) = true.
% 0.22/0.28 Proof:
% 0.22/0.28 c_in(c_Message_Omsg_ONonce(v_NAa), c_Event_Oused(v_evs1), tc_Message_Omsg)
% 0.22/0.28 = { by axiom 1 (cls_conjecture_4) R->L }
% 0.22/0.28 c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg)
% 0.22/0.28 = { by axiom 2 (ifeq_axiom) R->L }
% 0.22/0.28 ifeq(true, true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 4 (cls_Message_OMPair__parts_1) R->L }
% 0.22/0.28 ifeq(ifeq(c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true, c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 2 (ifeq_axiom) R->L }
% 0.22/0.28 ifeq(ifeq(ifeq(true, true, c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 3 (cls_Message_Oparts_OBody__dest_0) R->L }
% 0.22/0.28 ifeq(ifeq(ifeq(ifeq(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true, c_in(c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 1 (cls_conjecture_4) }
% 0.22/0.28 ifeq(ifeq(ifeq(ifeq(c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa), c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa), c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true, c_in(c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 7 (cls_conjecture_7) }
% 0.22/0.28 ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 2 (ifeq_axiom) }
% 0.22/0.28 ifeq(ifeq(ifeq(c_in(c_Message_Omsg_OMPair(v_NA_H, c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa)))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true, c_in(c_Message_Omsg_OMPair(v_NA, c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H), c_Message_Omsg_OAgent(v_Aa))), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 5 (cls_Message_OMPair__parts_0) }
% 0.22/0.28 ifeq(ifeq(true, true, c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true), true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 2 (ifeq_axiom) }
% 0.22/0.28 ifeq(c_in(v_NA, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs1)), tc_Message_Omsg), true, c_in(v_NA, c_Event_Oused(v_evs1), tc_Message_Omsg), true)
% 0.22/0.28 = { by axiom 6 (cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) }
% 0.22/0.28 true
% 0.22/0.28 % SZS output end Proof
% 0.22/0.28
% 0.22/0.28 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------