%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV242-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 01:06:33 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Proof 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV242-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.16 % Computer : n017.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 10:12:39 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 Command-line arguments: --no-flatten-goal
% 0.07/0.26
% 0.07/0.26 % SZS status Unsatisfiable
% 0.07/0.26
% 0.07/0.26 % SZS output start Proof
% 0.07/0.26 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.07/0.26 Axiom 2 (cls_conjecture_0): c_lessequals(v_G, c_Message_Oanalz(v_G_H), tc_set(tc_Message_Omsg)) = true.
% 0.07/0.26 Axiom 3 (cls_conjecture_1): c_lessequals(v_H, c_Message_Oanalz(v_H_H), tc_set(tc_Message_Omsg)) = true.
% 0.07/0.26 Axiom 4 (cls_Set_OUn__upper1_0): c_lessequals(X, c_union(X, Y, Z), tc_set(Z)) = true.
% 0.07/0.26 Axiom 5 (cls_Set_OUn__upper2_0): c_lessequals(X, c_union(Y, X, Z), tc_set(Z)) = true.
% 0.07/0.26 Axiom 6 (cls_Message_Oanalz__mono_0): ifeq(c_lessequals(X, Y, tc_set(tc_Message_Omsg)), true, c_lessequals(c_Message_Oanalz(X), c_Message_Oanalz(Y), tc_set(tc_Message_Omsg)), true) = true.
% 0.07/0.26 Axiom 7 (cls_Set_Osubset__trans_0): ifeq(c_lessequals(X, Y, tc_set(Z)), true, ifeq(c_lessequals(Y, W, tc_set(Z)), true, c_lessequals(X, W, tc_set(Z)), true), true) = true.
% 0.07/0.26
% 0.07/0.26 Goal 1 (cls_conjecture_2): tuple(c_lessequals(v_G, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg))) = tuple(true, true).
% 0.07/0.26 Proof:
% 0.07/0.26 tuple(c_lessequals(v_G, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)))
% 0.07/0.26 = { by axiom 1 (ifeq_axiom) R->L }
% 0.07/0.26 tuple(ifeq(true, true, c_lessequals(v_G, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)))
% 0.07/0.26 = { by axiom 6 (cls_Message_Oanalz__mono_0) R->L }
% 0.07/0.26 tuple(ifeq(ifeq(c_lessequals(v_G_H, c_union(v_G_H, v_H_H, tc_Message_Omsg), tc_set(tc_Message_Omsg)), true, c_lessequals(c_Message_Oanalz(v_G_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), true, c_lessequals(v_G, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)))
% 0.07/0.26 = { by axiom 4 (cls_Set_OUn__upper1_0) }
% 0.07/0.26 tuple(ifeq(ifeq(true, true, c_lessequals(c_Message_Oanalz(v_G_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), true, c_lessequals(v_G, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)))
% 0.07/0.26 = { by axiom 1 (ifeq_axiom) }
% 0.07/0.26 tuple(ifeq(c_lessequals(c_Message_Oanalz(v_G_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true, c_lessequals(v_G, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)))
% 0.07/0.26 = { by axiom 1 (ifeq_axiom) R->L }
% 0.07/0.26 tuple(ifeq(true, true, ifeq(c_lessequals(c_Message_Oanalz(v_G_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true, c_lessequals(v_G, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), true), c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)))
% 0.07/0.26 = { by axiom 2 (cls_conjecture_0) R->L }
% 0.07/0.26 tuple(ifeq(c_lessequals(v_G, c_Message_Oanalz(v_G_H), tc_set(tc_Message_Omsg)), true, ifeq(c_lessequals(c_Message_Oanalz(v_G_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true, c_lessequals(v_G, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), true), c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)))
% 0.07/0.26 = { by axiom 7 (cls_Set_Osubset__trans_0) }
% 0.07/0.26 tuple(true, c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)))
% 0.07/0.26 = { by axiom 1 (ifeq_axiom) R->L }
% 0.07/0.26 tuple(true, ifeq(true, true, c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true))
% 0.07/0.26 = { by axiom 6 (cls_Message_Oanalz__mono_0) R->L }
% 0.07/0.26 tuple(true, ifeq(ifeq(c_lessequals(v_H_H, c_union(v_G_H, v_H_H, tc_Message_Omsg), tc_set(tc_Message_Omsg)), true, c_lessequals(c_Message_Oanalz(v_H_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), true, c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true))
% 0.07/0.26 = { by axiom 5 (cls_Set_OUn__upper2_0) }
% 0.07/0.26 tuple(true, ifeq(ifeq(true, true, c_lessequals(c_Message_Oanalz(v_H_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), true, c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true))
% 0.07/0.26 = { by axiom 1 (ifeq_axiom) }
% 0.07/0.26 tuple(true, ifeq(c_lessequals(c_Message_Oanalz(v_H_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true, c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true))
% 0.07/0.26 = { by axiom 1 (ifeq_axiom) R->L }
% 0.07/0.26 tuple(true, ifeq(true, true, ifeq(c_lessequals(c_Message_Oanalz(v_H_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true, c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), true))
% 0.07/0.26 = { by axiom 3 (cls_conjecture_1) R->L }
% 0.07/0.26 tuple(true, ifeq(c_lessequals(v_H, c_Message_Oanalz(v_H_H), tc_set(tc_Message_Omsg)), true, ifeq(c_lessequals(c_Message_Oanalz(v_H_H), c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true, c_lessequals(v_H, c_Message_Oanalz(c_union(v_G_H, v_H_H, tc_Message_Omsg)), tc_set(tc_Message_Omsg)), true), true))
% 0.07/0.26 = { by axiom 7 (cls_Set_Osubset__trans_0) }
% 0.07/0.26 tuple(true, true)
% 0.07/0.26 % SZS output end Proof
% 0.07/0.26
% 0.07/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------