%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA043-2 : 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 : n024.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 19:08:50 EDT 2022 % Result : Unsatisfiable 1.78s 0.55s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : ANA043-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Fri Jul 8 06:53:59 EDT 2022 % 0.12/0.33 % CPUTime : % 1.78/0.55 % SZS status Unsatisfiable % 1.78/0.55 % SZS output begin IncompleteProof % 1.78/0.55 cnf(c0, axiom, % 1.78/0.55 class_Ring__and__Field_Oordered__idom(t_b)). % 1.78/0.55 cnf(c1, plain, % 1.78/0.55 class_Ring__and__Field_Oordered__idom(t_b), % 1.78/0.55 inference(start, [], [c0])). % 1.78/0.55 % 1.78/0.55 cnf(c2, axiom, % 1.78/0.55 class_OrderedGroup_Oab__semigroup__mult(X0) | ~class_Ring__and__Field_Oordered__idom(X0)). % 1.78/0.55 cnf(a0, assumption, % 1.78/0.55 t_b = X0). % 1.78/0.55 cnf(c3, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 1.78/0.55 cnf(c4, plain, % 1.78/0.55 class_OrderedGroup_Oab__semigroup__mult(X0), % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 1.78/0.55 % 1.78/0.55 cnf(c5, axiom, % 1.78/0.55 c_times(X1,c_times(X2,X3,X4),X4) = c_times(X2,c_times(X1,X3,X4),X4) | ~class_OrderedGroup_Oab__semigroup__mult(X4)). % 1.78/0.55 cnf(a1, assumption, % 1.78/0.55 X0 = X4). % 1.78/0.55 cnf(c6, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 1.78/0.55 cnf(c7, plain, % 1.78/0.55 c_times(X1,c_times(X2,X3,X4),X4) = c_times(X2,c_times(X1,X3,X4),X4), % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 1.78/0.55 % 1.78/0.55 cnf(c8, axiom, % 1.78/0.55 c_lessequals(c_times(X5,X6,X7),c_times(X5,X8,X7),X7) | ~c_lessequals(c_0,X5,X7) | ~c_lessequals(X6,X8,X7) | ~class_Ring__and__Field_Opordered__semiring(X7)). % 1.78/0.55 cnf(a2, assumption, % 1.78/0.55 c_times(X5,X8,X7) = c_times(X1,c_times(X2,X3,X4),X4)). % 1.78/0.55 cnf(a3, assumption, % 1.78/0.55 c_times(X2,c_times(X1,X3,X4),X4) = X9). % 1.78/0.55 cnf(c9, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 1.78/0.55 cnf(c10, plain, % 1.78/0.55 ~c_lessequals(c_0,X5,X7) | ~c_lessequals(X6,X8,X7) | ~class_Ring__and__Field_Opordered__semiring(X7), % 1.78/0.55 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 1.78/0.55 cnf(c11, plain, % 1.78/0.55 c_lessequals(c_times(X5,X6,X7),X9,X7), % 1.78/0.55 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 1.78/0.55 % 1.78/0.55 cnf(c12, axiom, % 1.78/0.55 ~c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X10),v_xa(X10))),t_b),t_b),c_times(X10,c_times(c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X10),v_xa(X10))),t_b),t_b),t_b),t_b)). % 1.78/0.55 cnf(a4, assumption, % 1.78/0.55 c_times(X5,X6,X7) = c_times(c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X10),v_xa(X10))),t_b),t_b)). % 1.78/0.55 cnf(a5, assumption, % 1.78/0.55 X9 = c_times(X10,c_times(c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X10),v_xa(X10))),t_b),t_b),t_b)). % 1.78/0.55 cnf(a6, assumption, % 1.78/0.55 X7 = t_b). % 1.78/0.55 cnf(c13, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 1.78/0.55 cnf(c14, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 1.78/0.55 % 1.78/0.55 cnf(c15, axiom, % 1.78/0.55 c_lessequals(c_0,c_HOL_Oabs(X11,X12),X12) | ~class_OrderedGroup_Olordered__ab__group__abs(X12)). % 1.78/0.55 cnf(a7, assumption, % 1.78/0.55 c_0 = c_0). % 1.78/0.55 cnf(a8, assumption, % 1.78/0.55 X5 = c_HOL_Oabs(X11,X12)). % 1.78/0.55 cnf(a9, assumption, % 1.78/0.55 X7 = X12). % 1.78/0.55 cnf(c16, plain, % 1.78/0.55 ~c_lessequals(X6,X8,X7) | ~class_Ring__and__Field_Opordered__semiring(X7), % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c10, c15])). % 1.78/0.55 cnf(c17, plain, % 1.78/0.55 ~class_OrderedGroup_Olordered__ab__group__abs(X12), % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c10, c15])). % 1.78/0.55 % 1.78/0.55 cnf(c18, axiom, % 1.78/0.55 class_OrderedGroup_Olordered__ab__group__abs(X13) | ~class_Ring__and__Field_Oordered__idom(X13)). % 1.78/0.55 cnf(a10, assumption, % 1.78/0.55 X12 = X13). % 1.78/0.55 cnf(c19, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a10])], [c17, c18])). % 1.78/0.55 cnf(c20, plain, % 1.78/0.55 ~class_Ring__and__Field_Oordered__idom(X13), % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a10])], [c17, c18])). % 1.78/0.55 % 1.78/0.55 cnf(c21, plain, % 1.78/0.55 class_Ring__and__Field_Oordered__idom(t_b)). % 1.78/0.55 cnf(a11, assumption, % 1.78/0.55 X13 = t_b). % 1.78/0.55 cnf(c22, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(predicate_reduction, [assumptions([a11])], [c20, c21])). % 1.78/0.55 % 1.78/0.55 cnf(c23, axiom, % 1.78/0.55 c_lessequals(c_HOL_Oabs(v_f(X14),t_b),c_times(v_c,c_HOL_Oabs(v_h(X14),t_b),t_b),t_b)). % 1.78/0.55 cnf(a12, assumption, % 1.78/0.55 X6 = c_HOL_Oabs(v_f(X14),t_b)). % 1.78/0.55 cnf(a13, assumption, % 1.78/0.55 X8 = c_times(v_c,c_HOL_Oabs(v_h(X14),t_b),t_b)). % 1.78/0.55 cnf(a14, assumption, % 1.78/0.55 X7 = t_b). % 1.78/0.55 cnf(c24, plain, % 1.78/0.55 ~class_Ring__and__Field_Opordered__semiring(X7), % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c23])). % 1.78/0.55 cnf(c25, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c23])). % 1.78/0.55 % 1.78/0.55 cnf(c26, axiom, % 1.78/0.55 class_Ring__and__Field_Opordered__semiring(X15) | ~class_Ring__and__Field_Oordered__idom(X15)). % 1.78/0.55 cnf(a15, assumption, % 1.78/0.55 X7 = X15). % 1.78/0.55 cnf(c27, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a15])], [c24, c26])). % 1.78/0.55 cnf(c28, plain, % 1.78/0.55 ~class_Ring__and__Field_Oordered__idom(X15), % 1.78/0.55 inference(strict_predicate_extension, [assumptions([a15])], [c24, c26])). % 1.78/0.55 % 1.78/0.55 cnf(c29, plain, % 1.78/0.55 class_Ring__and__Field_Oordered__idom(t_b)). % 1.78/0.55 cnf(a16, assumption, % 1.78/0.55 X15 = t_b). % 1.78/0.55 cnf(c30, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(predicate_reduction, [assumptions([a16])], [c28, c29])). % 1.78/0.55 % 1.78/0.55 cnf(c31, plain, % 1.78/0.55 $false, % 1.78/0.55 inference(constraint_solving, [ % 1.78/0.55 bind(X0, t_b), % 1.78/0.55 bind(X1, c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b)), % 1.78/0.55 bind(X2, v_c), % 1.78/0.55 bind(X3, c_HOL_Oabs(v_h(v_k(v_x(X10),v_xa(X10))),t_b)), % 1.78/0.55 bind(X4, t_b), % 1.78/0.55 bind(X5, c_HOL_Oabs(v_l(v_x(X10),v_xa(X10)),t_b)), % 1.78/0.55 bind(X6, c_HOL_Oabs(v_f(v_k(v_x(X10),v_xa(X10))),t_b)), % 1.78/0.55 bind(X7, t_b), % 1.78/0.55 bind(X8, c_times(X2,X3,X4)), % 1.78/0.55 bind(X9, c_times(X2,c_times(X1,X3,X4),X4)), % 1.78/0.55 bind(X10, v_c), % 1.78/0.55 bind(X11, v_l(v_x(X10),v_xa(X10))), % 1.78/0.55 bind(X12, t_b), % 1.78/0.55 bind(X13, t_b), % 1.78/0.55 bind(X14, v_k(v_x(X10),v_xa(X10))), % 1.78/0.55 bind(X15, t_b) % 1.78/0.55 ], % 1.78/0.55 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16])). % 1.78/0.55 % 1.78/0.55 % SZS output end IncompleteProof %------------------------------------------------------------------------------