%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SET849-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:39:15 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET849-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 28 03:00:59 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 Command-line arguments: --no-flatten-goal
% 0.13/0.43
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43
% 0.13/0.43 % SZS output start Proof
% 0.13/0.43 Axiom 1 (cls_Set_Osubset__refl_0): c_lessequals(X, X, tc_set(Y)) = true.
% 0.13/0.43 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.13/0.43 Axiom 3 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.13/0.43 Axiom 4 (cls_Zorn_OTFin__UnionI_0): ifeq(c_lessequals(X, c_Zorn_OTFin(Y, Z), tc_set(tc_set(tc_set(Z)))), true, c_in(c_Union(X, tc_set(Z)), c_Zorn_OTFin(Y, Z), tc_set(tc_set(Z))), true) = true.
% 0.13/0.43 Axiom 5 (cls_Zorn_Oequal__succ__Union_1): ifeq2(c_in(c_Union(c_Zorn_OTFin(X, Y), tc_set(Y)), c_Zorn_OTFin(X, Y), tc_set(tc_set(Y))), true, c_Zorn_Osucc(X, c_Union(c_Zorn_OTFin(X, Y), tc_set(Y)), Y), c_Union(c_Zorn_OTFin(X, Y), tc_set(Y))) = c_Union(c_Zorn_OTFin(X, Y), tc_set(Y)).
% 0.13/0.43
% 0.13/0.43 Goal 1 (cls_conjecture_1): c_Zorn_Osucc(v_S, c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), t_a) = c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)).
% 0.13/0.43 Proof:
% 0.13/0.43 c_Zorn_Osucc(v_S, c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), t_a)
% 0.13/0.43 = { by axiom 3 (ifeq_axiom) R->L }
% 0.13/0.43 ifeq2(true, true, c_Zorn_Osucc(v_S, c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), t_a), c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)))
% 0.13/0.43 = { by axiom 4 (cls_Zorn_OTFin__UnionI_0) R->L }
% 0.13/0.43 ifeq2(ifeq(c_lessequals(c_Zorn_OTFin(v_S, t_a), c_Zorn_OTFin(v_S, t_a), tc_set(tc_set(tc_set(t_a)))), true, c_in(c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), c_Zorn_OTFin(v_S, t_a), tc_set(tc_set(t_a))), true), true, c_Zorn_Osucc(v_S, c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), t_a), c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)))
% 0.13/0.43 = { by axiom 1 (cls_Set_Osubset__refl_0) }
% 0.13/0.43 ifeq2(ifeq(true, true, c_in(c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), c_Zorn_OTFin(v_S, t_a), tc_set(tc_set(t_a))), true), true, c_Zorn_Osucc(v_S, c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), t_a), c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)))
% 0.13/0.43 = { by axiom 2 (ifeq_axiom) }
% 0.13/0.43 ifeq2(c_in(c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), c_Zorn_OTFin(v_S, t_a), tc_set(tc_set(t_a))), true, c_Zorn_Osucc(v_S, c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)), t_a), c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a)))
% 0.13/0.43 = { by axiom 5 (cls_Zorn_Oequal__succ__Union_1) }
% 0.13/0.43 c_Union(c_Zorn_OTFin(v_S, t_a), tc_set(t_a))
% 0.13/0.43 % SZS output end Proof
% 0.13/0.43
% 0.13/0.43 RESULT: Unsatisfiable (the axioms are contradictory).
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