%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : ANA045-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 09:30:41 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.26s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA045-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n019.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 20:34:18 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.26 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
% 0.11/0.26
% 0.11/0.26 % SZS status Unsatisfiable
% 0.11/0.26
% 0.11/0.26 % SZS output start Proof
% 0.11/0.26 Axiom 1 (tfree_tcs): class_Ring__and__Field_Oordered__idom(t_b) = true.
% 0.11/0.26 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.11/0.26 Axiom 3 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.11/0.26 Axiom 4 (clsrel_Ring__and__Field_Oordered__idom_50): ifeq(class_Ring__and__Field_Oordered__idom(X), true, class_OrderedGroup_Olordered__ab__group__abs(X), true) = true.
% 0.11/0.26 Axiom 5 (cls_Ring__and__Field_Omult__cancel__right1_2): ifeq2(class_Ring__and__Field_Oordered__idom(X), true, c_times(c_1, Y, X), Y) = Y.
% 0.11/0.26 Axiom 6 (cls_OrderedGroup_Oabs__ge__zero_0): ifeq(class_OrderedGroup_Olordered__ab__group__abs(X), true, c_lessequals(c_0, c_HOL_Oabs(Y, X), X), true) = true.
% 0.11/0.26
% 0.11/0.26 Goal 1 (cls_conjecture_0): c_lessequals(c_0, c_times(X, c_HOL_Oabs(v_g(v_x(X)), t_b), t_b), t_b) = true.
% 0.11/0.26 The goal is true when:
% 0.11/0.26 X = c_1
% 0.11/0.26
% 0.11/0.26 Proof:
% 0.11/0.26 c_lessequals(c_0, c_times(c_1, c_HOL_Oabs(v_g(v_x(c_1)), t_b), t_b), t_b)
% 0.11/0.26 = { by axiom 3 (ifeq_axiom) R->L }
% 0.11/0.26 c_lessequals(c_0, ifeq2(true, true, c_times(c_1, c_HOL_Oabs(v_g(v_x(c_1)), t_b), t_b), c_HOL_Oabs(v_g(v_x(c_1)), t_b)), t_b)
% 0.11/0.26 = { by axiom 1 (tfree_tcs) R->L }
% 0.11/0.26 c_lessequals(c_0, ifeq2(class_Ring__and__Field_Oordered__idom(t_b), true, c_times(c_1, c_HOL_Oabs(v_g(v_x(c_1)), t_b), t_b), c_HOL_Oabs(v_g(v_x(c_1)), t_b)), t_b)
% 0.11/0.26 = { by axiom 5 (cls_Ring__and__Field_Omult__cancel__right1_2) }
% 0.11/0.26 c_lessequals(c_0, c_HOL_Oabs(v_g(v_x(c_1)), t_b), t_b)
% 0.11/0.26 = { by axiom 2 (ifeq_axiom) R->L }
% 0.11/0.26 ifeq(true, true, c_lessequals(c_0, c_HOL_Oabs(v_g(v_x(c_1)), t_b), t_b), true)
% 0.11/0.26 = { by axiom 4 (clsrel_Ring__and__Field_Oordered__idom_50) R->L }
% 0.11/0.26 ifeq(ifeq(class_Ring__and__Field_Oordered__idom(t_b), true, class_OrderedGroup_Olordered__ab__group__abs(t_b), true), true, c_lessequals(c_0, c_HOL_Oabs(v_g(v_x(c_1)), t_b), t_b), true)
% 0.11/0.26 = { by axiom 1 (tfree_tcs) }
% 0.11/0.26 ifeq(ifeq(true, true, class_OrderedGroup_Olordered__ab__group__abs(t_b), true), true, c_lessequals(c_0, c_HOL_Oabs(v_g(v_x(c_1)), t_b), t_b), true)
% 0.11/0.26 = { by axiom 2 (ifeq_axiom) }
% 0.11/0.26 ifeq(class_OrderedGroup_Olordered__ab__group__abs(t_b), true, c_lessequals(c_0, c_HOL_Oabs(v_g(v_x(c_1)), t_b), t_b), true)
% 0.11/0.26 = { by axiom 6 (cls_OrderedGroup_Oabs__ge__zero_0) }
% 0.11/0.26 true
% 0.11/0.26 % SZS output end Proof
% 0.11/0.26
% 0.11/0.26 RESULT: Unsatisfiable (the axioms are contradictory).
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