%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA027-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 19:08:40 EDT 2022 % Result : Unsatisfiable 7.64s 1.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ANA027-2 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n025.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Fri Jul 8 07:00:59 EDT 2022 % 0.13/0.34 % CPUTime : % 7.64/1.36 % SZS status Unsatisfiable % 7.64/1.36 % SZS output begin IncompleteProof % 7.64/1.36 cnf(c0, axiom, % 7.64/1.36 class_Ring__and__Field_Oordered__idom(t_b)). % 7.64/1.36 cnf(c1, plain, % 7.64/1.36 class_Ring__and__Field_Oordered__idom(t_b), % 7.64/1.36 inference(start, [], [c0])). % 7.64/1.36 % 7.64/1.36 cnf(c2, axiom, % 7.64/1.36 class_OrderedGroup_Ocomm__monoid__add(X0) | ~class_Ring__and__Field_Oordered__idom(X0)). % 7.64/1.36 cnf(a0, assumption, % 7.64/1.36 t_b = X0). % 7.64/1.36 cnf(c3, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 7.64/1.36 cnf(c4, plain, % 7.64/1.36 class_OrderedGroup_Ocomm__monoid__add(X0), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 7.64/1.36 % 7.64/1.36 cnf(c5, axiom, % 7.64/1.36 c_plus(c_0,X1,X2) = X1 | ~class_OrderedGroup_Ocomm__monoid__add(X2)). % 7.64/1.36 cnf(a1, assumption, % 7.64/1.36 X0 = X2). % 7.64/1.36 cnf(c6, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 7.64/1.36 cnf(c7, plain, % 7.64/1.36 c_plus(c_0,X1,X2) = X1, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 7.64/1.36 % 7.64/1.36 cnf(c8, axiom, % 7.64/1.36 c_lessequals(X3,c_minus(X4,X5,X6),X6) | ~c_lessequals(c_plus(X3,X5,X6),X4,X6) | ~class_OrderedGroup_Opordered__ab__group__add(X6)). % 7.64/1.36 cnf(a2, assumption, % 7.64/1.36 c_plus(X3,X5,X6) = c_plus(c_0,X1,X2)). % 7.64/1.36 cnf(c9, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_subterm_extension, [assumptions([a2])], [c7, c8])). % 7.64/1.36 cnf(c10, plain, % 7.64/1.36 c_lessequals(X3,c_minus(X4,X5,X6),X6) | ~class_OrderedGroup_Opordered__ab__group__add(X6), % 7.64/1.36 inference(strict_subterm_extension, [assumptions([a2])], [c7, c8])). % 7.64/1.36 cnf(c11, plain, % 7.64/1.36 ~c_lessequals(X1,X4,X6), % 7.64/1.36 inference(strict_subterm_extension, [assumptions([a2])], [c7, c8])). % 7.64/1.36 % 7.64/1.36 cnf(c12, axiom, % 7.64/1.36 c_lessequals(X7,X8,X9) | ~c_lessequals(X7,X10,X9) | ~c_lessequals(X10,X8,X9) | ~class_Orderings_Oorder(X9)). % 7.64/1.36 cnf(a3, assumption, % 7.64/1.36 X1 = X7). % 7.64/1.36 cnf(a4, assumption, % 7.64/1.36 X4 = X8). % 7.64/1.36 cnf(a5, assumption, % 7.64/1.36 X6 = X9). % 7.64/1.36 cnf(c13, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c11, c12])). % 7.64/1.36 cnf(c14, plain, % 7.64/1.36 ~c_lessequals(X7,X10,X9) | ~c_lessequals(X10,X8,X9) | ~class_Orderings_Oorder(X9), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c11, c12])). % 7.64/1.36 % 7.64/1.36 cnf(c15, axiom, % 7.64/1.36 c_lessequals(v_g(v_x),v_k(v_x),t_b)). % 7.64/1.36 cnf(a6, assumption, % 7.64/1.36 X7 = v_g(v_x)). % 7.64/1.36 cnf(a7, assumption, % 7.64/1.36 X10 = v_k(v_x)). % 7.64/1.36 cnf(a8, assumption, % 7.64/1.36 X9 = t_b). % 7.64/1.36 cnf(c16, plain, % 7.64/1.36 ~c_lessequals(X10,X8,X9) | ~class_Orderings_Oorder(X9), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c14, c15])). % 7.64/1.36 cnf(c17, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c14, c15])). % 7.64/1.36 % 7.64/1.36 cnf(c18, axiom, % 7.64/1.36 c_lessequals(c_plus(X11,X12,X13),X14,X13) | ~c_lessequals(X11,c_minus(X14,X12,X13),X13) | ~class_OrderedGroup_Opordered__ab__group__add(X13)). % 7.64/1.36 cnf(a9, assumption, % 7.64/1.36 X15 = X10). % 7.64/1.36 cnf(a10, assumption, % 7.64/1.36 X16 = X8). % 7.64/1.36 cnf(a11, assumption, % 7.64/1.36 X17 = X9). % 7.64/1.36 cnf(c19, plain, % 7.64/1.36 ~class_Orderings_Oorder(X9), % 7.64/1.36 inference(lazy_predicate_extension, [assumptions([a9, a10, a11])], [c16, c18])). % 7.64/1.36 cnf(c20, plain, % 7.64/1.36 ~c_lessequals(X11,c_minus(X14,X12,X13),X13) | ~class_OrderedGroup_Opordered__ab__group__add(X13), % 7.64/1.36 inference(lazy_predicate_extension, [assumptions([a9, a10, a11])], [c16, c18])). % 7.64/1.36 cnf(c21, plain, % 7.64/1.36 c_plus(X11,X12,X13) != X15 | X14 != X16 | X13 != X17, % 7.64/1.36 inference(lazy_predicate_extension, [assumptions([a9, a10, a11])], [c16, c18])). % 7.64/1.36 % 7.64/1.36 cnf(c22, axiom, % 7.64/1.36 c_plus(c_0,X18,X19) = X18 | ~class_OrderedGroup_Ocomm__monoid__add(X19)). % 7.64/1.36 cnf(a12, assumption, % 7.64/1.36 c_plus(X11,X12,X13) = c_plus(c_0,X18,X19)). % 7.64/1.36 cnf(c23, plain, % 7.64/1.36 X14 != X16 | X13 != X17, % 7.64/1.36 inference(strict_function_extension, [assumptions([a12])], [c21, c22])). % 7.64/1.36 cnf(c24, plain, % 7.64/1.36 ~class_OrderedGroup_Ocomm__monoid__add(X19), % 7.64/1.36 inference(strict_function_extension, [assumptions([a12])], [c21, c22])). % 7.64/1.36 cnf(c25, plain, % 7.64/1.36 X20 != X18 | X20 != X15, % 7.64/1.36 inference(strict_function_extension, [assumptions([a12])], [c21, c22])). % 7.64/1.36 % 7.64/1.36 cnf(a13, assumption, % 7.64/1.36 X20 = X18). % 7.64/1.36 cnf(c26, plain, % 7.64/1.36 X20 != X15, % 7.64/1.36 inference(reflexivity, [assumptions([a13])], [c25])). % 7.64/1.36 % 7.64/1.36 cnf(a14, assumption, % 7.64/1.36 X20 = X15). % 7.64/1.36 cnf(c27, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(reflexivity, [assumptions([a14])], [c26])). % 7.64/1.36 % 7.64/1.36 cnf(c28, plain, % 7.64/1.36 class_OrderedGroup_Ocomm__monoid__add(X0)). % 7.64/1.36 cnf(a15, assumption, % 7.64/1.36 X19 = X0). % 7.64/1.36 cnf(c29, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(predicate_reduction, [assumptions([a15])], [c24, c28])). % 7.64/1.36 % 7.64/1.36 cnf(a16, assumption, % 7.64/1.36 X14 = X16). % 7.64/1.36 cnf(c30, plain, % 7.64/1.36 X13 != X17, % 7.64/1.36 inference(reflexivity, [assumptions([a16])], [c23])). % 7.64/1.36 % 7.64/1.36 cnf(a17, assumption, % 7.64/1.36 X13 = X17). % 7.64/1.36 cnf(c31, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(reflexivity, [assumptions([a17])], [c30])). % 7.64/1.36 % 7.64/1.36 cnf(c32, axiom, % 7.64/1.36 c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)). % 7.64/1.36 cnf(a18, assumption, % 7.64/1.36 X11 = c_0). % 7.64/1.36 cnf(a19, assumption, % 7.64/1.36 c_minus(X14,X12,X13) = c_minus(v_f(v_x),v_k(v_x),t_b)). % 7.64/1.36 cnf(a20, assumption, % 7.64/1.36 X13 = t_b). % 7.64/1.36 cnf(c33, plain, % 7.64/1.36 ~class_OrderedGroup_Opordered__ab__group__add(X13), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c20, c32])). % 7.64/1.36 cnf(c34, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c20, c32])). % 7.64/1.36 % 7.64/1.36 cnf(c35, axiom, % 7.64/1.36 class_OrderedGroup_Opordered__ab__group__add(X21) | ~class_OrderedGroup_Olordered__ab__group__abs(X21)). % 7.64/1.36 cnf(a21, assumption, % 7.64/1.36 X13 = X21). % 7.64/1.36 cnf(c36, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a21])], [c33, c35])). % 7.64/1.36 cnf(c37, plain, % 7.64/1.36 ~class_OrderedGroup_Olordered__ab__group__abs(X21), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a21])], [c33, c35])). % 7.64/1.36 % 7.64/1.36 cnf(c38, axiom, % 7.64/1.36 class_OrderedGroup_Olordered__ab__group__abs(X22) | ~class_Ring__and__Field_Oordered__idom(X22)). % 7.64/1.36 cnf(a22, assumption, % 7.64/1.36 X21 = X22). % 7.64/1.36 cnf(c39, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a22])], [c37, c38])). % 7.64/1.36 cnf(c40, plain, % 7.64/1.36 ~class_Ring__and__Field_Oordered__idom(X22), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a22])], [c37, c38])). % 7.64/1.36 % 7.64/1.36 cnf(c41, plain, % 7.64/1.36 class_Ring__and__Field_Oordered__idom(t_b)). % 7.64/1.36 cnf(a23, assumption, % 7.64/1.36 X22 = t_b). % 7.64/1.36 cnf(c42, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(predicate_reduction, [assumptions([a23])], [c40, c41])). % 7.64/1.36 % 7.64/1.36 cnf(c43, axiom, % 7.64/1.36 class_Orderings_Oorder(X23) | ~class_LOrder_Ojoin__semilorder(X23)). % 7.64/1.36 cnf(a24, assumption, % 7.64/1.36 X9 = X23). % 7.64/1.36 cnf(c44, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a24])], [c19, c43])). % 7.64/1.36 cnf(c45, plain, % 7.64/1.36 ~class_LOrder_Ojoin__semilorder(X23), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a24])], [c19, c43])). % 7.64/1.36 % 7.64/1.36 cnf(c46, axiom, % 7.64/1.36 class_LOrder_Ojoin__semilorder(X24) | ~class_OrderedGroup_Olordered__ab__group__abs(X24)). % 7.64/1.36 cnf(a25, assumption, % 7.64/1.36 X23 = X24). % 7.64/1.36 cnf(c47, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a25])], [c45, c46])). % 7.64/1.36 cnf(c48, plain, % 7.64/1.36 ~class_OrderedGroup_Olordered__ab__group__abs(X24), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a25])], [c45, c46])). % 7.64/1.36 % 7.64/1.36 cnf(c49, plain, % 7.64/1.36 class_OrderedGroup_Olordered__ab__group__abs(X21)). % 7.64/1.36 cnf(a26, assumption, % 7.64/1.36 X24 = X21). % 7.64/1.36 cnf(c50, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(predicate_reduction, [assumptions([a26])], [c48, c49])). % 7.64/1.36 % 7.64/1.36 cnf(c51, axiom, % 7.64/1.36 ~c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b)). % 7.64/1.36 cnf(a27, assumption, % 7.64/1.36 X3 = c_0). % 7.64/1.36 cnf(a28, assumption, % 7.64/1.36 c_minus(X4,X5,X6) = c_minus(v_f(v_x),v_g(v_x),t_b)). % 7.64/1.36 cnf(a29, assumption, % 7.64/1.36 X6 = t_b). % 7.64/1.36 cnf(c52, plain, % 7.64/1.36 ~class_OrderedGroup_Opordered__ab__group__add(X6), % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c10, c51])). % 7.64/1.36 cnf(c53, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c10, c51])). % 7.64/1.36 % 7.64/1.36 cnf(c54, plain, % 7.64/1.36 class_OrderedGroup_Opordered__ab__group__add(X13)). % 7.64/1.36 cnf(a30, assumption, % 7.64/1.36 X6 = X13). % 7.64/1.36 cnf(c55, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(predicate_reduction, [assumptions([a30])], [c52, c54])). % 7.64/1.36 % 7.64/1.36 cnf(c56, plain, % 7.64/1.36 $false, % 7.64/1.36 inference(constraint_solving, [ % 7.64/1.36 bind(X0, t_b), % 7.64/1.36 bind(X1, v_g(v_x)), % 7.64/1.36 bind(X2, t_b), % 7.64/1.36 bind(X3, c_0), % 7.64/1.36 bind(X4, v_f(v_x)), % 7.64/1.36 bind(X5, v_g(v_x)), % 7.64/1.36 bind(X6, t_b), % 7.64/1.36 bind(X7, v_g(v_x)), % 7.64/1.36 bind(X8, v_f(v_x)), % 7.64/1.36 bind(X9, t_b), % 7.64/1.36 bind(X10, v_k(v_x)), % 7.64/1.36 bind(X11, c_0), % 7.64/1.36 bind(X12, v_k(v_x)), % 7.64/1.36 bind(X13, t_b), % 7.64/1.36 bind(X14, v_f(v_x)), % 7.64/1.36 bind(X15, v_k(v_x)), % 7.64/1.36 bind(X16, v_f(v_x)), % 7.64/1.36 bind(X17, t_b), % 7.64/1.36 bind(X18, v_k(v_x)), % 7.64/1.36 bind(X19, t_b), % 7.64/1.36 bind(X20, v_k(v_x)), % 7.64/1.36 bind(X21, t_b), % 7.64/1.36 bind(X22, t_b), % 7.64/1.36 bind(X23, t_b), % 7.64/1.36 bind(X24, t_b) % 7.64/1.36 ], % 7.64/1.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30])). % 7.64/1.36 % 7.64/1.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------