%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV279-2 : 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 01:06:39 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.27s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV279-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n018.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 10:26:24 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.27 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
% 0.08/0.27
% 0.08/0.27 % SZS status Unsatisfiable
% 0.08/0.27
% 0.08/0.28 % SZS output start Proof
% 0.08/0.28 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.08/0.28 Axiom 2 (cls_conjecture_0): c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Event_Oused(v_H), tc_Message_Omsg) = true.
% 0.08/0.28 Axiom 3 (cls_Set_Oinsert__iff_1): c_in(X, c_insert(X, Y, Z), Z) = true.
% 0.08/0.28 Axiom 4 (cls_Message_Oparts_OInj_0): ifeq(c_in(X, Y, tc_Message_Omsg), true, c_in(X, c_Message_Oparts(Y), tc_Message_Omsg), true) = true.
% 0.08/0.28 Axiom 5 (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.
% 0.08/0.28 Axiom 6 (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.
% 0.08/0.28 Axiom 7 (cls_Public_Oused__parts__subset__parts_0): ifeq(c_in(X, c_Event_Oused(Y), tc_Message_Omsg), true, c_lessequals(c_Message_Oparts(c_insert(X, c_emptyset, tc_Message_Omsg)), c_Event_Oused(Y), tc_set(tc_Message_Omsg)), true) = true.
% 0.08/0.28 Axiom 8 (cls_Set_OsubsetD_0): ifeq(c_lessequals(X, Y, tc_set(Z)), true, ifeq(c_in(W, X, Z), true, c_in(W, Y, Z), true), true) = true.
% 0.08/0.28
% 0.08/0.28 Goal 1 (cls_conjecture_1): tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg)) = tuple(true, true).
% 0.08/0.28 Proof:
% 0.08/0.28 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg))
% 0.08/0.28 = { by axiom 1 (ifeq_axiom) R->L }
% 0.08/0.28 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(true, true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true))
% 0.08/0.28 = { by axiom 6 (cls_Message_OMPair__parts_0) R->L }
% 0.08/0.28 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(ifeq(c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true))
% 0.08/0.28 = { by axiom 1 (ifeq_axiom) R->L }
% 0.08/0.28 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(ifeq(ifeq(true, true, c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true))
% 0.08/0.28 = { by axiom 3 (cls_Set_Oinsert__iff_1) R->L }
% 0.08/0.29 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(ifeq(ifeq(c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg), tc_Message_Omsg), true, c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true))
% 0.08/0.29 = { by axiom 4 (cls_Message_Oparts_OInj_0) }
% 0.08/0.29 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(ifeq(true, true, c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true))
% 0.08/0.29 = { by axiom 1 (ifeq_axiom) }
% 0.08/0.29 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true))
% 0.08/0.29 = { by axiom 1 (ifeq_axiom) R->L }
% 0.08/0.29 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(true, true, ifeq(c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true), true))
% 0.08/0.29 = { by axiom 7 (cls_Public_Oused__parts__subset__parts_0) R->L }
% 0.08/0.29 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(ifeq(c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Event_Oused(v_H), tc_Message_Omsg), true, c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), c_Event_Oused(v_H), tc_set(tc_Message_Omsg)), true), true, ifeq(c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true), true))
% 0.08/0.29 = { by axiom 2 (cls_conjecture_0) }
% 0.08/0.29 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(ifeq(true, true, c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), c_Event_Oused(v_H), tc_set(tc_Message_Omsg)), true), true, ifeq(c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true), true))
% 0.08/0.29 = { by axiom 1 (ifeq_axiom) }
% 0.08/0.29 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), ifeq(c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), c_Event_Oused(v_H), tc_set(tc_Message_Omsg)), true, ifeq(c_in(v_Y, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_Y, c_Event_Oused(v_H), tc_Message_Omsg), true), true))
% 0.08/0.29 = { by axiom 8 (cls_Set_OsubsetD_0) }
% 0.08/0.29 tuple(c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true)
% 0.08/0.29 = { by axiom 1 (ifeq_axiom) R->L }
% 0.08/0.29 tuple(ifeq(true, true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true)
% 0.08/0.29 = { by axiom 5 (cls_Message_OMPair__parts_1) R->L }
% 0.08/0.29 tuple(ifeq(ifeq(c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true)
% 0.08/0.29 = { by axiom 1 (ifeq_axiom) R->L }
% 0.08/0.29 tuple(ifeq(ifeq(ifeq(true, true, c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true)
% 0.08/0.29 = { by axiom 3 (cls_Set_Oinsert__iff_1) R->L }
% 0.08/0.29 tuple(ifeq(ifeq(ifeq(c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg), tc_Message_Omsg), true, c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true)
% 0.08/0.29 = { by axiom 4 (cls_Message_Oparts_OInj_0) }
% 0.08/0.29 tuple(ifeq(ifeq(true, true, c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true)
% 0.08/0.29 = { by axiom 1 (ifeq_axiom) }
% 0.08/0.29 tuple(ifeq(c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true)
% 0.08/0.29 = { by axiom 1 (ifeq_axiom) R->L }
% 0.08/0.29 tuple(ifeq(true, true, ifeq(c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true), true)
% 0.08/0.29 = { by axiom 7 (cls_Public_Oused__parts__subset__parts_0) R->L }
% 0.08/0.29 tuple(ifeq(ifeq(c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Event_Oused(v_H), tc_Message_Omsg), true, c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), c_Event_Oused(v_H), tc_set(tc_Message_Omsg)), true), true, ifeq(c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true), true)
% 0.08/0.29 = { by axiom 2 (cls_conjecture_0) }
% 0.08/0.29 tuple(ifeq(ifeq(true, true, c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), c_Event_Oused(v_H), tc_set(tc_Message_Omsg)), true), true, ifeq(c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true), true)
% 0.08/0.29 = { by axiom 1 (ifeq_axiom) }
% 0.08/0.29 tuple(ifeq(c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), c_Event_Oused(v_H), tc_set(tc_Message_Omsg)), true, ifeq(c_in(v_X, c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X, v_Y), c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), true, c_in(v_X, c_Event_Oused(v_H), tc_Message_Omsg), true), true), true)
% 0.08/0.29 = { by axiom 8 (cls_Set_OsubsetD_0) }
% 0.08/0.29 tuple(true, true)
% 0.08/0.29 % SZS output end Proof
% 0.08/0.29
% 0.08/0.29 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------