%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:06:38 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.27s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:25:39 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.27 Command-line arguments: --no-flatten-goal
% 0.21/0.27
% 0.21/0.27 % SZS status Unsatisfiable
% 0.21/0.27
% 0.21/0.27 % SZS output start Proof
% 0.21/0.27 Axiom 1 (cls_conjecture_3): c_in(v_K, c_Message_OkeysFor(c_Message_Oanalz(v_H)), tc_nat) = true.
% 0.21/0.27 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.21/0.27 Axiom 3 (cls_Message_Oanalz__subset__parts_0): c_lessequals(c_Message_Oanalz(X), c_Message_Oparts(X), tc_set(tc_Message_Omsg)) = true.
% 0.21/0.27 Axiom 4 (cls_Message_OkeysFor__mono_0): ifeq(c_lessequals(X, Y, tc_set(tc_Message_Omsg)), true, c_lessequals(c_Message_OkeysFor(X), c_Message_OkeysFor(Y), tc_set(tc_nat)), true) = true.
% 0.21/0.27 Axiom 5 (cls_Set_OsubsetD_0): ifeq(c_in(X, Y, Z), true, ifeq(c_lessequals(Y, W, tc_set(Z)), true, c_in(X, W, Z), true), true) = true.
% 0.21/0.27
% 0.21/0.27 Goal 1 (cls_conjecture_2): c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_nat) = true.
% 0.21/0.27 Proof:
% 0.21/0.27 c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_nat)
% 0.21/0.27 = { by axiom 2 (ifeq_axiom) R->L }
% 0.21/0.27 ifeq(true, true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_nat), true)
% 0.21/0.27 = { by axiom 4 (cls_Message_OkeysFor__mono_0) R->L }
% 0.21/0.27 ifeq(ifeq(c_lessequals(c_Message_Oanalz(v_H), c_Message_Oparts(v_H), tc_set(tc_Message_Omsg)), true, c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)), c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_set(tc_nat)), true), true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_nat), true)
% 0.21/0.27 = { by axiom 3 (cls_Message_Oanalz__subset__parts_0) }
% 0.21/0.27 ifeq(ifeq(true, true, c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)), c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_set(tc_nat)), true), true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_nat), true)
% 0.21/0.27 = { by axiom 2 (ifeq_axiom) }
% 0.21/0.27 ifeq(c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)), c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_set(tc_nat)), true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_nat), true)
% 0.21/0.27 = { by axiom 2 (ifeq_axiom) R->L }
% 0.21/0.27 ifeq(true, true, ifeq(c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)), c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_set(tc_nat)), true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_nat), true), true)
% 0.21/0.27 = { by axiom 1 (cls_conjecture_3) R->L }
% 0.21/0.27 ifeq(c_in(v_K, c_Message_OkeysFor(c_Message_Oanalz(v_H)), tc_nat), true, ifeq(c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)), c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_set(tc_nat)), true, c_in(v_K, c_Message_OkeysFor(c_Message_Oparts(v_H)), tc_nat), true), true)
% 0.21/0.27 = { by axiom 5 (cls_Set_OsubsetD_0) }
% 0.21/0.27 true
% 0.21/0.27 % SZS output end Proof
% 0.21/0.27
% 0.21/0.27 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------