%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA017-2 : 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 : n013.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 19:08:33 EDT 2022 % Result : Unsatisfiable 17.23s 2.58s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0. % 0.10/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.33 % Computer : n013.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Fri Jul 8 03:55:29 EDT 2022 % 0.13/0.33 % CPUTime : % 17.23/2.58 % SZS status Unsatisfiable % 17.23/2.58 % SZS output begin IncompleteProof % 17.23/2.58 cnf(c0, axiom, % 17.23/2.58 class_Ring__and__Field_Oordered__idom(t_b)). % 17.23/2.58 cnf(c1, plain, % 17.23/2.58 class_Ring__and__Field_Oordered__idom(t_b), % 17.23/2.58 inference(start, [], [c0])). % 17.23/2.58 % 17.23/2.58 cnf(c2, axiom, % 17.23/2.58 c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2) | ~class_Ring__and__Field_Oordered__idom(X2)). % 17.23/2.58 cnf(a0, assumption, % 17.23/2.58 t_b = X2). % 17.23/2.58 cnf(c3, plain, % 17.23/2.58 $false, % 17.23/2.58 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 17.23/2.58 cnf(c4, plain, % 17.23/2.58 c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2), % 17.23/2.58 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 17.23/2.58 % 17.23/2.58 cnf(c5, axiom, % 17.23/2.58 c_lessequals(c_times(X3,X4,X5),c_times(X3,X6,X5),X5) | ~c_lessequals(c_0,X3,X5) | ~c_lessequals(X4,X6,X5) | ~class_Ring__and__Field_Opordered__semiring(X5)). % 17.23/2.58 cnf(a1, assumption, % 17.23/2.58 c_times(X3,X4,X5) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2)). % 17.23/2.58 cnf(a2, assumption, % 17.23/2.58 c_HOL_Oabs(c_times(X0,X1,X2),X2) = X7). % 17.23/2.58 cnf(c6, plain, % 17.23/2.58 $false, % 17.23/2.58 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 17.23/2.58 cnf(c7, plain, % 17.23/2.58 ~c_lessequals(c_0,X3,X5) | ~c_lessequals(X4,X6,X5) | ~class_Ring__and__Field_Opordered__semiring(X5), % 17.23/2.58 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 17.23/2.58 cnf(c8, plain, % 17.23/2.58 c_lessequals(X7,c_times(X3,X6,X5),X5), % 17.23/2.58 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 17.23/2.58 % 17.23/2.58 cnf(c9, axiom, % 17.23/2.58 ~c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X8)),t_b),t_b),c_times(X8,c_HOL_Oabs(v_f(v_x(X8)),t_b),t_b),t_b)). % 17.23/2.58 cnf(a3, assumption, % 17.23/2.58 X9 = X7). % 17.23/2.58 cnf(a4, assumption, % 17.23/2.58 X10 = c_times(X3,X6,X5)). % 17.23/2.58 cnf(a5, assumption, % 17.23/2.58 X11 = X5). % 17.23/2.58 cnf(c10, plain, % 17.23/2.58 $false, % 17.23/2.58 inference(lazy_predicate_extension, [assumptions([a3, a4, a5])], [c8, c9])). % 17.23/2.58 cnf(c11, plain, % 17.23/2.58 $false, % 17.23/2.58 inference(lazy_predicate_extension, [assumptions([a3, a4, a5])], [c8, c9])). % 17.23/2.58 cnf(c12, plain, % 17.23/2.58 c_HOL_Oabs(c_times(v_c,v_b(v_x(X8)),t_b),t_b) != X9 | c_times(X8,c_HOL_Oabs(v_f(v_x(X8)),t_b),t_b) != X10 | t_b != X11, % 17.23/2.58 inference(lazy_predicate_extension, [assumptions([a3, a4, a5])], [c8, c9])). % 17.23/2.58 % 17.23/2.58 cnf(a6, assumption, % 17.23/2.58 c_HOL_Oabs(c_times(v_c,v_b(v_x(X8)),t_b),t_b) = X9). % 17.23/2.58 cnf(c13, plain, % 17.23/2.58 c_times(X8,c_HOL_Oabs(v_f(v_x(X8)),t_b),t_b) != X10 | t_b != X11, % 17.23/2.58 inference(reflexivity, [assumptions([a6])], [c12])). % 17.23/2.58 % 17.23/2.58 cnf(c14, axiom, % 17.23/2.58 c_times(c_times(X12,X13,X14),X15,X14) = c_times(X12,c_times(X13,X15,X14),X14) | ~class_OrderedGroup_Osemigroup__mult(X14)). % 17.23/2.58 cnf(a7, assumption, % 17.23/2.58 c_times(X8,c_HOL_Oabs(v_f(v_x(X8)),t_b),t_b) = c_times(c_times(X12,X13,X14),X15,X14)). % 17.23/2.58 cnf(c15, plain, % 17.23/2.58 t_b != X11, % 17.23/2.58 inference(strict_function_extension, [assumptions([a7])], [c13, c14])). % 17.23/2.58 cnf(c16, plain, % 17.23/2.58 ~class_OrderedGroup_Osemigroup__mult(X14), % 17.23/2.58 inference(strict_function_extension, [assumptions([a7])], [c13, c14])). % 17.23/2.58 cnf(c17, plain, % 17.23/2.58 X16 != c_times(X12,c_times(X13,X15,X14),X14) | X16 != X10, % 17.23/2.58 inference(strict_function_extension, [assumptions([a7])], [c13, c14])). % 17.23/2.58 % 17.23/2.58 cnf(a8, assumption, % 17.23/2.58 X16 = c_times(X12,c_times(X13,X15,X14),X14)). % 17.23/2.58 cnf(c18, plain, % 17.23/2.58 X16 != X10, % 17.23/2.58 inference(reflexivity, [assumptions([a8])], [c17])). % 17.23/2.58 % 17.23/2.58 cnf(a9, assumption, % 17.23/2.58 X16 = X10). % 17.23/2.58 cnf(c19, plain, % 17.23/2.58 $false, % 17.23/2.58 inference(reflexivity, [assumptions([a9])], [c18])). % 17.23/2.58 % 17.23/2.58 cnf(c20, axiom, % 17.23/2.58 class_OrderedGroup_Osemigroup__mult(X17) | ~class_Ring__and__Field_Oordered__idom(X17)). % 17.23/2.58 cnf(a10, assumption, % 17.23/2.58 X14 = X17). % 17.23/2.58 cnf(c21, plain, % 17.23/2.58 $false, % 17.23/2.58 inference(strict_predicate_extension, [assumptions([a10])], [c16, c20])). % 17.23/2.58 cnf(c22, plain, % 17.23/2.58 ~class_Ring__and__Field_Oordered__idom(X17), % 17.23/2.58 inference(strict_predicate_extension, [assumptions([a10])], [c16, c20])). % 17.23/2.58 % 17.23/2.58 cnf(c23, plain, % 17.23/2.58 class_Ring__and__Field_Oordered__idom(t_b)). % 17.23/2.58 cnf(a11, assumption, % 17.23/2.58 X17 = t_b). % 17.23/2.58 cnf(c24, plain, % 17.23/2.58 $false, % 17.23/2.58 inference(predicate_reduction, [assumptions([a11])], [c22, c23])). % 17.23/2.58 % 17.23/2.58 cnf(a12, assumption, % 17.23/2.58 t_b = X11). % 17.23/2.58 cnf(c25, plain, % 17.23/2.58 $false, % 17.23/2.58 inference(reflexivity, [assumptions([a12])], [c15])). % 17.23/2.58 % 17.23/2.58 cnf(c26, axiom, % 17.23/2.58 c_lessequals(c_0,c_HOL_Oabs(X18,X19),X19) | ~class_OrderedGroup_Olordered__ab__group__abs(X19)). % 17.23/2.58 cnf(a13, assumption, % 17.23/2.58 c_0 = c_0). % 17.23/2.58 cnf(a14, assumption, % 17.23/2.58 X3 = c_HOL_Oabs(X18,X19)). % 17.23/2.58 cnf(a15, assumption, % 17.23/2.58 X5 = X19). % 17.23/2.58 cnf(c27, plain, % 17.23/2.58 ~c_lessequals(X4,X6,X5) | ~class_Ring__and__Field_Opordered__semiring(X5), % 17.23/2.58 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c7, c26])). % 17.23/2.58 cnf(c28, plain, % 17.23/2.58 ~class_OrderedGroup_Olordered__ab__group__abs(X19), % 17.23/2.58 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c7, c26])). % 17.23/2.58 % 17.23/2.58 cnf(c29, axiom, % 17.23/2.58 class_OrderedGroup_Olordered__ab__group__abs(X20) | ~class_Ring__and__Field_Oordered__idom(X20)). % 17.83/2.58 cnf(a16, assumption, % 17.83/2.58 X19 = X20). % 17.83/2.58 cnf(c30, plain, % 17.83/2.58 $false, % 17.83/2.58 inference(strict_predicate_extension, [assumptions([a16])], [c28, c29])). % 17.83/2.58 cnf(c31, plain, % 17.83/2.58 ~class_Ring__and__Field_Oordered__idom(X20), % 17.83/2.58 inference(strict_predicate_extension, [assumptions([a16])], [c28, c29])). % 17.83/2.58 % 17.83/2.58 cnf(c32, plain, % 17.83/2.58 class_Ring__and__Field_Oordered__idom(t_b)). % 17.83/2.58 cnf(a17, assumption, % 17.83/2.58 X20 = t_b). % 17.83/2.58 cnf(c33, plain, % 17.83/2.58 $false, % 17.83/2.58 inference(predicate_reduction, [assumptions([a17])], [c31, c32])). % 17.83/2.58 % 17.83/2.58 cnf(c34, axiom, % 17.83/2.58 c_lessequals(c_HOL_Oabs(v_b(X21),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X21),t_b),t_b),t_b)). % 17.83/2.58 cnf(a18, assumption, % 17.83/2.58 X4 = c_HOL_Oabs(v_b(X21),t_b)). % 17.83/2.58 cnf(a19, assumption, % 17.83/2.58 X6 = c_times(v_ca,c_HOL_Oabs(v_f(X21),t_b),t_b)). % 17.83/2.58 cnf(a20, assumption, % 17.83/2.58 X5 = t_b). % 17.83/2.58 cnf(c35, plain, % 17.83/2.58 ~class_Ring__and__Field_Opordered__semiring(X5), % 17.83/2.58 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c27, c34])). % 17.83/2.58 cnf(c36, plain, % 17.83/2.58 $false, % 17.83/2.58 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c27, c34])). % 17.83/2.58 % 17.83/2.58 cnf(c37, axiom, % 17.83/2.58 class_Ring__and__Field_Opordered__semiring(X22) | ~class_Ring__and__Field_Oordered__idom(X22)). % 17.83/2.58 cnf(a21, assumption, % 17.83/2.58 X5 = X22). % 17.83/2.58 cnf(c38, plain, % 17.83/2.58 $false, % 17.83/2.58 inference(strict_predicate_extension, [assumptions([a21])], [c35, c37])). % 17.83/2.58 cnf(c39, plain, % 17.83/2.58 ~class_Ring__and__Field_Oordered__idom(X22), % 17.83/2.58 inference(strict_predicate_extension, [assumptions([a21])], [c35, c37])). % 17.83/2.58 % 17.83/2.58 cnf(c40, plain, % 17.83/2.58 class_Ring__and__Field_Oordered__idom(t_b)). % 17.83/2.58 cnf(a22, assumption, % 17.83/2.58 X22 = t_b). % 17.83/2.58 cnf(c41, plain, % 17.83/2.58 $false, % 17.83/2.58 inference(predicate_reduction, [assumptions([a22])], [c39, c40])). % 17.83/2.58 % 17.83/2.58 cnf(c42, plain, % 17.83/2.58 $false, % 17.83/2.58 inference(constraint_solving, [ % 17.83/2.58 bind(X0, v_c), % 17.83/2.58 bind(X1, v_b(v_x(X8))), % 17.83/2.58 bind(X2, t_b), % 17.83/2.58 bind(X3, c_HOL_Oabs(X0,X2)), % 17.83/2.58 bind(X4, c_HOL_Oabs(X1,X2)), % 17.83/2.58 bind(X5, t_b), % 17.83/2.58 bind(X6, c_times(X13,X15,X14)), % 17.83/2.58 bind(X7, c_HOL_Oabs(c_times(X0,X1,X2),X2)), % 17.83/2.58 bind(X8, c_times(X12,X13,X14)), % 17.83/2.58 bind(X9, c_HOL_Oabs(c_times(X0,X1,X2),X2)), % 17.83/2.58 bind(X10, c_times(X3,X6,X5)), % 17.83/2.58 bind(X11, t_b), % 17.83/2.58 bind(X12, c_HOL_Oabs(X0,X2)), % 17.83/2.58 bind(X13, v_ca), % 17.83/2.58 bind(X14, t_b), % 17.83/2.58 bind(X15, c_HOL_Oabs(v_f(v_x(X8)),t_b)), % 17.83/2.58 bind(X16, c_times(X12,c_times(X13,X15,X14),X14)), % 17.83/2.58 bind(X17, t_b), % 17.83/2.58 bind(X18, v_c), % 17.83/2.58 bind(X19, t_b), % 17.83/2.58 bind(X20, t_b), % 17.83/2.58 bind(X21, v_x(X8)), % 17.83/2.58 bind(X22, t_b) % 17.83/2.58 ], % 17.83/2.58 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22])). % 17.83/2.58 % 17.83/2.58 % SZS output end IncompleteProof %------------------------------------------------------------------------------