%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV331-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:06:46 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.25s
% Output : Proof 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV331-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n004.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 10:38:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.25 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.07/0.25
% 0.07/0.25 % SZS status Unsatisfiable
% 0.07/0.25
% 0.07/0.26 % SZS output start Proof
% 0.07/0.26 Axiom 1 (cls_conjecture_2): c_in(v_K, c_Message_OsymKeys, tc_nat) = true.
% 0.07/0.26 Axiom 2 (cls_conjecture_0): c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)) = true.
% 0.07/0.26 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.07/0.26 Axiom 4 (cls_conjecture_5): c_in(c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) = true.
% 0.07/0.26 Axiom 5 (cls_Public_OCrypt__imp__keysFor_0): ifeq(c_in(c_Message_Omsg_OCrypt(X, Y), Z, tc_Message_Omsg), true, ifeq(c_in(X, c_Message_OsymKeys, tc_nat), true, c_in(X, c_Message_OkeysFor(Z), tc_nat), true), true) = true.
% 0.07/0.26 Axiom 6 (cls_Yahalom_Onew__keys__not__used_0): ifeq(c_in(X, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, ifeq(c_in(Y, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, X))), tc_nat), true, ifeq(c_in(Y, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(Y), c_Event_Oused(X), tc_Message_Omsg), true), true), true) = true.
% 0.07/0.26
% 0.07/0.26 Goal 1 (cls_conjecture_1): c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg) = true.
% 0.07/0.26 Proof:
% 0.07/0.26 c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)
% 0.07/0.26 = { by axiom 3 (ifeq_axiom) R->L }
% 0.07/0.26 ifeq(true, true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true)
% 0.07/0.26 = { by axiom 1 (cls_conjecture_2) R->L }
% 0.07/0.26 ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true)
% 0.07/0.26 = { by axiom 3 (ifeq_axiom) R->L }
% 0.07/0.26 ifeq(true, true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true), true)
% 0.07/0.26 = { by axiom 3 (ifeq_axiom) R->L }
% 0.07/0.26 ifeq(true, true, ifeq(true, true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true), true), true)
% 0.07/0.26 = { by axiom 2 (cls_conjecture_0) R->L }
% 0.07/0.26 ifeq(c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, ifeq(true, true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true), true), true)
% 0.07/0.26 = { by axiom 5 (cls_Public_OCrypt__imp__keysFor_0) R->L }
% 0.07/0.26 ifeq(c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, ifeq(ifeq(c_in(c_Message_Omsg_OCrypt(v_K, c_Message_Omsg_ONonce(v_NB)), c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg), true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))), tc_nat), true), true), true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true), true), true)
% 0.07/0.26 = { by axiom 4 (cls_conjecture_5) }
% 0.07/0.26 ifeq(c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, ifeq(ifeq(true, true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))), tc_nat), true), true), true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true), true), true)
% 0.07/0.26 = { by axiom 3 (ifeq_axiom) }
% 0.07/0.26 ifeq(c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, ifeq(ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))), tc_nat), true), true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true), true), true)
% 0.07/0.26 = { by axiom 1 (cls_conjecture_2) }
% 0.07/0.26 ifeq(c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, ifeq(ifeq(true, true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))), tc_nat), true), true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true), true), true)
% 0.07/0.26 = { by axiom 3 (ifeq_axiom) }
% 0.07/0.26 ifeq(c_in(v_evs3, c_Yahalom_Oyahalom, tc_List_Olist(tc_Event_Oevent)), true, ifeq(c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3))), tc_nat), true, ifeq(c_in(v_K, c_Message_OsymKeys, tc_nat), true, c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg), true), true), true)
% 0.07/0.26 = { by axiom 6 (cls_Yahalom_Onew__keys__not__used_0) }
% 0.07/0.26 true
% 0.07/0.26 % SZS output end Proof
% 0.07/0.26
% 0.07/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------