%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT281-2 : 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 0.13s 0.43s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % 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 14:15:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43 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
% 0.13/0.43
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43
% 0.13/0.43 % SZS output start Proof
% 0.13/0.43 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).
% 0.13/0.43 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.13/0.43 Axiom 3 (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.
% 0.13/0.43 Axiom 4 (cls_conjecture_0): c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)) = true.
% 0.13/0.43 Axiom 5 (cls_conjecture_1): c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)) = true.
% 0.13/0.43 Axiom 6 (cls_Tarski_OPartialOrder__iff_2): ifeq(c_in(X, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(Y, tc_Product__Type_Ounit)), true, c_Relation_Otrans(c_Tarski_Opotype_Oorder(X, Y, tc_Product__Type_Ounit), Y), true) = true.
% 0.13/0.43 Axiom 7 (cls_Relation_Otrans__def_0): ifeq(c_Relation_Otrans(X, Y), true, ifeq(c_in(c_Pair(Z, W, Y, Y), X, tc_prod(Y, Y)), true, ifeq(c_in(c_Pair(W, V, Y, Y), X, tc_prod(Y, Y)), true, c_in(c_Pair(Z, V, Y, Y), X, tc_prod(Y, Y)), true), true), true) = true.
% 0.13/0.43
% 0.13/0.43 Goal 1 (cls_conjecture_2): c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)) = true.
% 0.13/0.43 Proof:
% 0.13/0.43 c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a))
% 0.13/0.43 = { by axiom 2 (ifeq_axiom) R->L }
% 0.13/0.43 ifeq(true, true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true)
% 0.13/0.43 = { by axiom 5 (cls_conjecture_1) R->L }
% 0.13/0.43 ifeq(c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true)
% 0.13/0.43 = { by axiom 2 (ifeq_axiom) R->L }
% 0.13/0.43 ifeq(true, true, ifeq(c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true)
% 0.13/0.43 = { by axiom 4 (cls_conjecture_0) R->L }
% 0.13/0.43 ifeq(c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, ifeq(c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true)
% 0.13/0.43 = { by axiom 2 (ifeq_axiom) R->L }
% 0.13/0.43 ifeq(true, true, ifeq(c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, ifeq(c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true), true)
% 0.13/0.43 = { by axiom 6 (cls_Tarski_OPartialOrder__iff_2) R->L }
% 0.13/0.43 ifeq(ifeq(c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)), true, c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl, t_a, tc_Product__Type_Ounit), t_a), true), true, ifeq(c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, ifeq(c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true), true)
% 0.13/0.43 = { by axiom 1 (cls_Tarski_Or_A_61_61_Aorder_Acl_0) R->L }
% 0.13/0.43 ifeq(ifeq(c_in(v_cl, c_Tarski_OPartialOrder, tc_Tarski_Opotype_Opotype__ext__type(t_a, tc_Product__Type_Ounit)), true, c_Relation_Otrans(v_r, t_a), true), true, ifeq(c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, ifeq(c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true), true)
% 0.13/0.43 = { by axiom 3 (cls_Tarski_Ocl_A_58_APartialOrder_0) }
% 0.13/0.43 ifeq(ifeq(true, true, c_Relation_Otrans(v_r, t_a), true), true, ifeq(c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, ifeq(c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true), true)
% 0.13/0.43 = { by axiom 2 (ifeq_axiom) }
% 0.13/0.43 ifeq(c_Relation_Otrans(v_r, t_a), true, ifeq(c_in(c_Pair(v_a, v_b, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, ifeq(c_in(c_Pair(v_b, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true, c_in(c_Pair(v_a, v_c, t_a, t_a), v_r, tc_prod(t_a, t_a)), true), true), true)
% 0.13/0.43 = { by axiom 7 (cls_Relation_Otrans__def_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).
%------------------------------------------------------------------------------