%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SET850-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.42s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET850-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n010.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 28 03:01:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42 Command-line arguments: --no-flatten-goal
% 0.13/0.42
% 0.13/0.42 % SZS status Unsatisfiable
% 0.13/0.42
% 0.13/0.42 % SZS output start Proof
% 0.13/0.42 Axiom 1 (cls_conjecture_0): c_lessequals(v_x, v_y, tc_set(tc_set(t_a))) = true.
% 0.13/0.42 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.13/0.42 Axiom 3 (cls_Zorn_OAbrial__axiom1_0): c_lessequals(X, c_Zorn_Osucc(Y, X, Z), tc_set(tc_set(Z))) = true.
% 0.13/0.42 Axiom 4 (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.
% 0.13/0.42
% 0.13/0.42 Goal 1 (cls_conjecture_1): c_lessequals(v_x, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a))) = true.
% 0.13/0.42 Proof:
% 0.13/0.42 c_lessequals(v_x, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a)))
% 0.13/0.42 = { by axiom 2 (ifeq_axiom) R->L }
% 0.13/0.42 ifeq(true, true, c_lessequals(v_x, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a))), true)
% 0.13/0.42 = { by axiom 3 (cls_Zorn_OAbrial__axiom1_0) R->L }
% 0.13/0.42 ifeq(c_lessequals(v_y, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a))), true, c_lessequals(v_x, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a))), true)
% 0.13/0.42 = { by axiom 2 (ifeq_axiom) R->L }
% 0.13/0.42 ifeq(true, true, ifeq(c_lessequals(v_y, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a))), true, c_lessequals(v_x, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a))), true), true)
% 0.13/0.42 = { by axiom 1 (cls_conjecture_0) R->L }
% 0.13/0.42 ifeq(c_lessequals(v_x, v_y, tc_set(tc_set(t_a))), true, ifeq(c_lessequals(v_y, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a))), true, c_lessequals(v_x, c_Zorn_Osucc(v_S, v_y, t_a), tc_set(tc_set(t_a))), true), true)
% 0.13/0.43 = { by axiom 4 (cls_Set_Osubset__trans_0) }
% 0.13/0.43 true
% 0.13/0.43 % SZS output end Proof
% 0.13/0.43
% 0.13/0.43 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------