%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT259-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 11:44:38 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT259-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:08:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.44 Command-line arguments: --flatten-regeneralise
% 0.09/0.44
% 0.09/0.44 % SZS status Unsatisfiable
% 0.09/0.44
% 0.09/0.44 % SZS output start Proof
% 0.09/0.44 Axiom 1 (cls_Tarski_Or_A_61_61_Aorder_Acl_0): v_r = c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit).
% 0.09/0.44 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.09/0.44 Axiom 3 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 0.09/0.44 Axiom 4 (cls_Tarski_Ocl_A_58_APartialOrder_0): c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)) = true.
% 0.09/0.44 Axiom 5 (cls_conjecture_0): c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)) = true.
% 0.09/0.44 Axiom 6 (cls_conjecture_1): c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)) = true.
% 0.09/0.44 Axiom 7 (cls_Tarski_OPartialOrder__iff_1): ifeq(c_in(X, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(Y, tc_Product__Type_Ounit)), true, c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X, Y, tc_Product__Type_Ounit), Y), true) = true.
% 0.09/0.44 Axiom 8 (cls_Relation_Oantisym__def_0): ifeq2(c_Relation_Oantisym(X, Y), true, ifeq2(c_in(c_Pair(Z, W, Y, Y), X, tc_prod(Y, Y)), true, ifeq2(c_in(c_Pair(W, Z, Y, Y), X, tc_prod(Y, Y)), true, Z, W), W), W) = W.
% 0.09/0.44
% 0.09/0.44 Goal 1 (cls_conjecture_2): v_a = v_b.
% 0.09/0.44 Proof:
% 0.09/0.44 v_a
% 0.09/0.44 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.44 ifeq2(true, true, v_a, v_b)
% 0.09/0.44 = { by axiom 6 (cls_conjecture_1) R->L }
% 0.09/0.44 ifeq2(c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, v_a, v_b)
% 0.09/0.44 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.44 ifeq2(true, true, ifeq2(c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, v_a, v_b), v_b)
% 0.09/0.44 = { by axiom 3 (ifeq_axiom) R->L }
% 0.09/0.44 ifeq2(true, true, ifeq2(true, true, ifeq2(c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, v_a, v_b), v_b), v_b)
% 0.09/0.44 = { by axiom 7 (cls_Tarski_OPartialOrder__iff_1) R->L }
% 0.09/0.44 ifeq2(ifeq(c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)), true, c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), true), true, ifeq2(true, true, ifeq2(c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, v_a, v_b), v_b), v_b)
% 0.09/0.44 = { by axiom 1 (cls_Tarski_Or_A_61_61_Aorder_Acl_0) R->L }
% 0.09/0.44 ifeq2(ifeq(c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)), true, c_Relation_Oantisym(v_r, t_a), true), true, ifeq2(true, true, ifeq2(c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, v_a, v_b), v_b), v_b)
% 0.09/0.44 = { by axiom 4 (cls_Tarski_Ocl_A_58_APartialOrder_0) }
% 0.09/0.44 ifeq2(ifeq(true, true, c_Relation_Oantisym(v_r, t_a), true), true, ifeq2(true, true, ifeq2(c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, v_a, v_b), v_b), v_b)
% 0.09/0.44 = { by axiom 2 (ifeq_axiom) }
% 0.09/0.44 ifeq2(c_Relation_Oantisym(v_r, t_a), true, ifeq2(true, true, ifeq2(c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, v_a, v_b), v_b), v_b)
% 0.09/0.44 = { by axiom 5 (cls_conjecture_0) R->L }
% 0.09/0.44 ifeq2(c_Relation_Oantisym(v_r, t_a), true, ifeq2(c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, ifeq2(c_in(c_Pair(v_b, v_a, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, v_a, v_b), v_b), v_b)
% 0.09/0.44 = { by axiom 8 (cls_Relation_Oantisym__def_0) }
% 0.09/0.44 v_b
% 0.09/0.44 % SZS output end Proof
% 0.09/0.44
% 0.09/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------