%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : ANA024-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/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 09:30:37 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.23s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA024-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n009.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 20:30:45 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.23 Command-line arguments: --no-flatten-goal
% 0.08/0.23
% 0.08/0.23 % SZS status Unsatisfiable
% 0.08/0.23
% 0.08/0.23 % SZS output start Proof
% 0.08/0.23 Axiom 1 (tfree_tcs): class_Ring__and__Field_Oordered__idom(t_b) = true.
% 0.08/0.23 Axiom 2 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.08/0.23 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.08/0.23 Axiom 4 (cls_conjecture_1): c_lessequals(v_k(X), v_f(X), t_b) = true.
% 0.08/0.23 Axiom 5 (clsrel_OrderedGroup_Opordered__ab__group__add_0): ifeq(class_OrderedGroup_Opordered__ab__group__add(X), true, class_OrderedGroup_Oab__group__add(X), true) = true.
% 0.08/0.23 Axiom 6 (clsrel_Ring__and__Field_Oordered__idom_54): ifeq(class_Ring__and__Field_Oordered__idom(X), true, class_OrderedGroup_Opordered__ab__group__add(X), true) = true.
% 0.08/0.23 Axiom 7 (cls_OrderedGroup_Ocompare__rls__10_0): ifeq2(class_OrderedGroup_Oab__group__add(X), true, c_plus(c_minus(Y, Z, X), Z, X), Y) = Y.
% 0.08/0.23 Axiom 8 (cls_OrderedGroup_Ocompare__rls__9_1): ifeq(c_lessequals(c_plus(X, Y, Z), W, Z), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(Z), true, c_lessequals(X, c_minus(W, Y, Z), Z), true), true) = true.
% 0.08/0.23
% 0.08/0.23 Goal 1 (cls_conjecture_3): c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b) = true.
% 0.08/0.23 Proof:
% 0.08/0.23 c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b)
% 0.08/0.23 = { by axiom 3 (ifeq_axiom) R->L }
% 0.08/0.23 ifeq(true, true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true)
% 0.08/0.23 = { by axiom 4 (cls_conjecture_1) R->L }
% 0.08/0.23 ifeq(c_lessequals(v_k(v_x), v_f(v_x), t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true)
% 0.08/0.23 = { by axiom 3 (ifeq_axiom) R->L }
% 0.08/0.23 ifeq(c_lessequals(v_k(v_x), v_f(v_x), t_b), true, ifeq(true, true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 6 (clsrel_Ring__and__Field_Oordered__idom_54) R->L }
% 0.08/0.23 ifeq(c_lessequals(v_k(v_x), v_f(v_x), t_b), true, ifeq(ifeq(class_Ring__and__Field_Oordered__idom(t_b), true, class_OrderedGroup_Opordered__ab__group__add(t_b), true), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 1 (tfree_tcs) }
% 0.08/0.23 ifeq(c_lessequals(v_k(v_x), v_f(v_x), t_b), true, ifeq(ifeq(true, true, class_OrderedGroup_Opordered__ab__group__add(t_b), true), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.08/0.23 ifeq(c_lessequals(v_k(v_x), v_f(v_x), t_b), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 7 (cls_OrderedGroup_Ocompare__rls__10_0) R->L }
% 0.08/0.23 ifeq(c_lessequals(ifeq2(class_OrderedGroup_Oab__group__add(t_b), true, c_plus(c_minus(v_k(v_x), v_g(v_x), t_b), v_g(v_x), t_b), v_k(v_x)), v_f(v_x), t_b), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 3 (ifeq_axiom) R->L }
% 0.08/0.23 ifeq(c_lessequals(ifeq2(ifeq(true, true, class_OrderedGroup_Oab__group__add(t_b), true), true, c_plus(c_minus(v_k(v_x), v_g(v_x), t_b), v_g(v_x), t_b), v_k(v_x)), v_f(v_x), t_b), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 6 (clsrel_Ring__and__Field_Oordered__idom_54) R->L }
% 0.08/0.23 ifeq(c_lessequals(ifeq2(ifeq(ifeq(class_Ring__and__Field_Oordered__idom(t_b), true, class_OrderedGroup_Opordered__ab__group__add(t_b), true), true, class_OrderedGroup_Oab__group__add(t_b), true), true, c_plus(c_minus(v_k(v_x), v_g(v_x), t_b), v_g(v_x), t_b), v_k(v_x)), v_f(v_x), t_b), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 1 (tfree_tcs) }
% 0.08/0.23 ifeq(c_lessequals(ifeq2(ifeq(ifeq(true, true, class_OrderedGroup_Opordered__ab__group__add(t_b), true), true, class_OrderedGroup_Oab__group__add(t_b), true), true, c_plus(c_minus(v_k(v_x), v_g(v_x), t_b), v_g(v_x), t_b), v_k(v_x)), v_f(v_x), t_b), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 3 (ifeq_axiom) }
% 0.08/0.23 ifeq(c_lessequals(ifeq2(ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, class_OrderedGroup_Oab__group__add(t_b), true), true, c_plus(c_minus(v_k(v_x), v_g(v_x), t_b), v_g(v_x), t_b), v_k(v_x)), v_f(v_x), t_b), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 5 (clsrel_OrderedGroup_Opordered__ab__group__add_0) }
% 0.08/0.23 ifeq(c_lessequals(ifeq2(true, true, c_plus(c_minus(v_k(v_x), v_g(v_x), t_b), v_g(v_x), t_b), v_k(v_x)), v_f(v_x), t_b), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 2 (ifeq_axiom) }
% 0.08/0.23 ifeq(c_lessequals(c_plus(c_minus(v_k(v_x), v_g(v_x), t_b), v_g(v_x), t_b), v_f(v_x), t_b), true, ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b), true, c_lessequals(c_minus(v_k(v_x), v_g(v_x), t_b), c_minus(v_f(v_x), v_g(v_x), t_b), t_b), true), true)
% 0.08/0.23 = { by axiom 8 (cls_OrderedGroup_Ocompare__rls__9_1) }
% 0.08/0.23 true
% 0.08/0.23 % SZS output end Proof
% 0.08/0.23
% 0.08/0.23 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------