%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT277-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 11:44:42 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 14:15:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 Command-line arguments: --flatten --complete-subsets
% 0.14/0.43
% 0.14/0.43 % SZS status Unsatisfiable
% 0.14/0.43
% 0.14/0.44 % SZS output start Proof
% 0.14/0.44 Axiom 1 (cls_Tarski_OA_A_61_61_Apset_Acl_0): v_A = c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit).
% 0.14/0.44 Axiom 2 (cls_Tarski_Or_A_61_61_Aorder_Acl_0): v_r = c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit).
% 0.14/0.44 Axiom 3 (cls_conjecture_0): c_in(v_x, v_A, t_a) = true.
% 0.14/0.44 Axiom 4 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.14/0.44 Axiom 5 (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.
% 0.14/0.44 Axiom 6 (cls_Tarski_OPartialOrder__iff_0): ifeq(c_in(X, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(Y, tc_Product__Type_Ounit)), true, c_Relation_Orefl(c_Tarski_Opotype_Opset(X, Y, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(X, Y, tc_Product__Type_Ounit), Y), true) = true.
% 0.14/0.44 Axiom 7 (cls_Relation_OreflD_0): ifeq(c_Relation_Orefl(X, Y, Z), true, ifeq(c_in(W, X, Z), true, c_in(c_Pair(W, W, Z, Z), Y, tc_prod(Z, Z)), true), true) = true.
% 0.14/0.44
% 0.14/0.44 Goal 1 (cls_conjecture_1): c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)) = true.
% 0.14/0.44 Proof:
% 0.14/0.44 c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a))
% 0.14/0.44 = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.44 ifeq(c_in(v_x, v_A, t_a), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 3 (cls_conjecture_0) }
% 0.14/0.44 ifeq(true, c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 6 (cls_Tarski_OPartialOrder__iff_0) R->L }
% 0.14/0.44 ifeq(ifeq(c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)), true, c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), true), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 3 (cls_conjecture_0) R->L }
% 0.14/0.44 ifeq(ifeq(c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)), true, c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a)), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 3 (cls_conjecture_0) R->L }
% 0.14/0.44 ifeq(ifeq(c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)), c_in(v_x, v_A, t_a), c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a)), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 5 (cls_Tarski_Ocl_A_58_APartialOrder_0) }
% 0.14/0.44 ifeq(ifeq(true, c_in(v_x, v_A, t_a), c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a)), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 3 (cls_conjecture_0) R->L }
% 0.14/0.44 ifeq(ifeq(c_in(v_x, v_A, t_a), c_in(v_x, v_A, t_a), c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a)), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 4 (ifeq_axiom) }
% 0.14/0.44 ifeq(c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), v_r, tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 2 (cls_Tarski_Or_A_61_61_Aorder_Acl_0) }
% 0.14/0.44 ifeq(c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 4 (ifeq_axiom) R->L }
% 0.14/0.44 ifeq(c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a), ifeq(c_in(v_x, v_A, t_a), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 1 (cls_Tarski_OA_A_61_61_Apset_Acl_0) }
% 0.14/0.44 ifeq(c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a), ifeq(c_in(v_x, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 3 (cls_conjecture_0) }
% 0.14/0.44 ifeq(c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), true, ifeq(c_in(v_x, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), t_a), c_in(v_x, v_A, t_a), c_in(c_Pair(v_x, v_x, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 3 (cls_conjecture_0) }
% 0.14/0.44 ifeq(c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), true, ifeq(c_in(v_x, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), t_a), true, c_in(c_Pair(v_x, v_x, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)), c_in(v_x, v_A, t_a)), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 3 (cls_conjecture_0) }
% 0.14/0.44 ifeq(c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), true, ifeq(c_in(v_x, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), t_a), true, c_in(c_Pair(v_x, v_x, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)), true), c_in(v_x, v_A, t_a))
% 0.14/0.44 = { by axiom 3 (cls_conjecture_0) }
% 0.14/0.44 ifeq(c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), true, ifeq(c_in(v_x, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), t_a), true, c_in(c_Pair(v_x, v_x, t_a, t_a), c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), tc_prod(t_a, t_a)), true), true)
% 0.14/0.44 = { by axiom 7 (cls_Relation_OreflD_0) }
% 0.14/0.44 true
% 0.14/0.44 % SZS output end Proof
% 0.14/0.44
% 0.14/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------