%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV273-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 0.55s 0.38s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV273-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n002.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 10:25:51 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.38 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
% 0.55/0.38
% 0.55/0.38 % SZS status Unsatisfiable
% 0.55/0.38
% 0.55/0.38 % SZS output start Proof
% 0.55/0.38 Axiom 1 (cls_Set_Osubset__refl_0): c_lessequals(X, X, tc_set(Y)) = true.
% 0.55/0.38 Axiom 2 (cls_Message_Osynth__increasing_0): c_lessequals(X, c_Message_Osynth(X), tc_set(tc_Message_Omsg)) = true.
% 0.55/0.38 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.55/0.38 Axiom 4 (cls_Message_Oparts__mono_0): ifeq(c_lessequals(X, Y, tc_set(tc_Message_Omsg)), true, c_lessequals(c_Message_Oparts(X), c_Message_Oparts(Y), tc_set(tc_Message_Omsg)), true) = true.
% 0.55/0.38 Axiom 5 (cls_Message_Oparts__subset__iff_0): ifeq(c_lessequals(c_Message_Oparts(X), c_Message_Oparts(Y), tc_set(tc_Message_Omsg)), true, c_lessequals(X, c_Message_Oparts(Y), tc_set(tc_Message_Omsg)), true) = true.
% 0.55/0.38 Axiom 6 (cls_Set_OUn__subset__iff_2): ifeq(c_lessequals(X, Y, tc_set(Z)), true, ifeq(c_lessequals(W, Y, tc_set(Z)), true, c_lessequals(c_union(X, W, Z), Y, tc_set(Z)), true), true) = true.
% 0.55/0.38
% 0.55/0.39 Goal 1 (cls_conjecture_0): c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)) = true.
% 0.55/0.39 Proof:
% 0.55/0.39 c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg))
% 0.55/0.39 = { by axiom 3 (ifeq_axiom) R->L }
% 0.55/0.39 ifeq(true, true, c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true)
% 0.55/0.39 = { by axiom 5 (cls_Message_Oparts__subset__iff_0) R->L }
% 0.55/0.39 ifeq(ifeq(c_lessequals(c_Message_Oparts(c_Message_Osynth(v_H)), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true, c_lessequals(c_Message_Osynth(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true), true, c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true)
% 0.55/0.39 = { by axiom 1 (cls_Set_Osubset__refl_0) }
% 0.55/0.39 ifeq(ifeq(true, true, c_lessequals(c_Message_Osynth(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true), true, c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true)
% 0.55/0.39 = { by axiom 3 (ifeq_axiom) }
% 0.55/0.39 ifeq(c_lessequals(c_Message_Osynth(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true, c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true)
% 0.55/0.39 = { by axiom 3 (ifeq_axiom) R->L }
% 0.55/0.39 ifeq(true, true, ifeq(c_lessequals(c_Message_Osynth(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true, c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true), true)
% 0.55/0.39 = { by axiom 4 (cls_Message_Oparts__mono_0) R->L }
% 0.55/0.39 ifeq(ifeq(c_lessequals(v_H, c_Message_Osynth(v_H), tc_set(tc_Message_Omsg)), true, c_lessequals(c_Message_Oparts(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true), true, ifeq(c_lessequals(c_Message_Osynth(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true, c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true), true)
% 0.55/0.39 = { by axiom 2 (cls_Message_Osynth__increasing_0) }
% 0.55/0.39 ifeq(ifeq(true, true, c_lessequals(c_Message_Oparts(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true), true, ifeq(c_lessequals(c_Message_Osynth(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true, c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true), true)
% 0.55/0.39 = { by axiom 3 (ifeq_axiom) }
% 0.55/0.39 ifeq(c_lessequals(c_Message_Oparts(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true, ifeq(c_lessequals(c_Message_Osynth(v_H), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true, c_lessequals(c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), c_Message_Oparts(c_Message_Osynth(v_H)), tc_set(tc_Message_Omsg)), true), true)
% 0.55/0.39 = { by axiom 6 (cls_Set_OUn__subset__iff_2) }
% 0.55/0.39 true
% 0.55/0.39 % SZS output end Proof
% 0.55/0.39
% 0.55/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------