%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA010-2 : 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 19:08:28 EDT 2022 % Result : Unsatisfiable 0.19s 0.39s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.13 % 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 03:47:44 EDT 2022 % 0.13/0.33 % CPUTime : % 0.19/0.39 % SZS status Unsatisfiable % 0.19/0.39 % SZS output begin IncompleteProof % 0.19/0.39 cnf(c0, axiom, % 0.19/0.39 ~c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b)). % 0.19/0.39 cnf(c1, plain, % 0.19/0.39 ~c_lessequals(v_f(v_x(X0)),c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b), % 0.19/0.39 inference(start, [], [c0])). % 0.19/0.39 % 0.19/0.39 cnf(c2, axiom, % 0.19/0.39 c_HOL_Oabs(c_times(X1,X2,X3),X3) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3) | ~class_Ring__and__Field_Oordered__idom(X3)). % 0.19/0.39 cnf(a0, assumption, % 0.19/0.39 c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3)). % 0.19/0.39 cnf(c3, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.39 cnf(c4, plain, % 0.19/0.39 ~class_Ring__and__Field_Oordered__idom(X3), % 0.19/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.39 cnf(c5, plain, % 0.19/0.39 X4 != c_HOL_Oabs(c_times(X1,X2,X3),X3) | ~c_lessequals(v_f(v_x(X0)),X4,t_b), % 0.19/0.39 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.39 % 0.19/0.39 cnf(c6, axiom, % 0.19/0.39 c_HOL_Oabs(X5,X6) = X5 | ~c_lessequals(c_0,X5,X6) | ~class_OrderedGroup_Olordered__ab__group__abs(X6)). % 0.19/0.39 cnf(a1, assumption, % 0.19/0.39 c_HOL_Oabs(c_times(X1,X2,X3),X3) = c_HOL_Oabs(X5,X6)). % 0.19/0.39 cnf(c7, plain, % 0.19/0.39 ~c_lessequals(v_f(v_x(X0)),X4,t_b), % 0.19/0.39 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.19/0.39 cnf(c8, plain, % 0.19/0.39 ~c_lessequals(c_0,X5,X6) | ~class_OrderedGroup_Olordered__ab__group__abs(X6), % 0.19/0.39 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.19/0.39 cnf(c9, plain, % 0.19/0.39 X7 != X5 | X4 != X7, % 0.19/0.39 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 0.19/0.39 % 0.19/0.39 cnf(a2, assumption, % 0.19/0.39 X7 = X5). % 0.19/0.39 cnf(c10, plain, % 0.19/0.39 X4 != X7, % 0.19/0.39 inference(reflexivity, [assumptions([a2])], [c9])). % 0.19/0.39 % 0.19/0.39 cnf(a3, assumption, % 0.19/0.39 X4 = X7). % 0.19/0.39 cnf(c11, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(reflexivity, [assumptions([a3])], [c10])). % 0.19/0.39 % 0.19/0.39 cnf(c12, axiom, % 0.19/0.39 c_lessequals(X8,X9,X10) | ~c_lessequals(X8,X11,X10) | ~c_lessequals(X11,X9,X10) | ~class_Orderings_Oorder(X10)). % 0.19/0.39 cnf(a4, assumption, % 0.19/0.39 c_0 = X8). % 0.19/0.39 cnf(a5, assumption, % 0.19/0.39 X5 = X9). % 0.19/0.39 cnf(a6, assumption, % 0.19/0.39 X6 = X10). % 0.19/0.39 cnf(c13, plain, % 0.19/0.39 ~class_OrderedGroup_Olordered__ab__group__abs(X6), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c8, c12])). % 0.19/0.39 cnf(c14, plain, % 0.19/0.39 ~c_lessequals(X8,X11,X10) | ~c_lessequals(X11,X9,X10) | ~class_Orderings_Oorder(X10), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c8, c12])). % 0.19/0.39 % 0.19/0.39 cnf(c15, axiom, % 0.19/0.39 c_lessequals(c_0,v_f(X12),t_b)). % 0.19/0.39 cnf(a7, assumption, % 0.19/0.39 X8 = c_0). % 0.19/0.39 cnf(a8, assumption, % 0.19/0.39 X11 = v_f(X12)). % 0.19/0.39 cnf(a9, assumption, % 0.19/0.39 X10 = t_b). % 0.19/0.39 cnf(c16, plain, % 0.19/0.39 ~c_lessequals(X11,X9,X10) | ~class_Orderings_Oorder(X10), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c14, c15])). % 0.19/0.39 cnf(c17, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c14, c15])). % 0.19/0.39 % 0.19/0.39 cnf(c18, axiom, % 0.19/0.39 c_lessequals(v_f(X13),c_times(v_c,v_g(X13),t_b),t_b)). % 0.19/0.39 cnf(a10, assumption, % 0.19/0.39 X11 = v_f(X13)). % 0.19/0.39 cnf(a11, assumption, % 0.19/0.39 X9 = c_times(v_c,v_g(X13),t_b)). % 0.19/0.39 cnf(a12, assumption, % 0.19/0.39 X10 = t_b). % 0.19/0.39 cnf(c19, plain, % 0.19/0.39 ~class_Orderings_Oorder(X10), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c16, c18])). % 0.19/0.39 cnf(c20, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c16, c18])). % 0.19/0.39 % 0.19/0.39 cnf(c21, axiom, % 0.19/0.39 class_Orderings_Oorder(X14) | ~class_OrderedGroup_Olordered__ab__group__abs(X14)). % 0.19/0.39 cnf(a13, assumption, % 0.19/0.39 X10 = X14). % 0.19/0.39 cnf(c22, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a13])], [c19, c21])). % 0.19/0.39 cnf(c23, plain, % 0.19/0.39 ~class_OrderedGroup_Olordered__ab__group__abs(X14), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a13])], [c19, c21])). % 0.19/0.39 % 0.19/0.39 cnf(c24, axiom, % 0.19/0.39 class_OrderedGroup_Olordered__ab__group__abs(X15) | ~class_Ring__and__Field_Oordered__idom(X15)). % 0.19/0.39 cnf(a14, assumption, % 0.19/0.39 X14 = X15). % 0.19/0.39 cnf(c25, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a14])], [c23, c24])). % 0.19/0.39 cnf(c26, plain, % 0.19/0.39 ~class_Ring__and__Field_Oordered__idom(X15), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a14])], [c23, c24])). % 0.19/0.39 % 0.19/0.39 cnf(c27, axiom, % 0.19/0.39 class_Ring__and__Field_Oordered__idom(t_b)). % 0.19/0.39 cnf(a15, assumption, % 0.19/0.39 X15 = t_b). % 0.19/0.39 cnf(c28, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])). % 0.19/0.39 cnf(c29, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a15])], [c26, c27])). % 0.19/0.39 % 0.19/0.39 cnf(c30, plain, % 0.19/0.39 class_OrderedGroup_Olordered__ab__group__abs(X14)). % 0.19/0.39 cnf(a16, assumption, % 0.19/0.39 X6 = X14). % 0.19/0.39 cnf(c31, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(predicate_reduction, [assumptions([a16])], [c13, c30])). % 0.19/0.39 % 0.19/0.39 cnf(c32, plain, % 0.19/0.39 c_lessequals(X11,X9,X10)). % 0.19/0.39 cnf(a17, assumption, % 0.19/0.39 v_f(v_x(X0)) = X11). % 0.19/0.39 cnf(a18, assumption, % 0.19/0.39 X4 = X9). % 0.19/0.39 cnf(a19, assumption, % 0.19/0.39 t_b = X10). % 0.19/0.39 cnf(c33, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(predicate_reduction, [assumptions([a17, a18, a19])], [c7, c32])). % 0.19/0.39 % 0.19/0.39 cnf(c34, plain, % 0.19/0.39 class_Ring__and__Field_Oordered__idom(X15)). % 0.19/0.39 cnf(a20, assumption, % 0.19/0.39 X3 = X15). % 0.19/0.39 cnf(c35, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(predicate_reduction, [assumptions([a20])], [c4, c34])). % 0.19/0.39 % 0.19/0.39 cnf(c36, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(constraint_solving, [ % 0.19/0.39 bind(X0, c_HOL_Oabs(X1,X3)), % 0.19/0.39 bind(X1, v_c), % 0.19/0.39 bind(X2, v_g(v_x(X0))), % 0.19/0.39 bind(X3, t_b), % 0.19/0.39 bind(X4, c_times(X1,X2,X3)), % 0.19/0.39 bind(X5, c_times(X1,X2,X3)), % 0.19/0.39 bind(X6, t_b), % 0.19/0.39 bind(X7, c_times(X1,X2,X3)), % 0.19/0.39 bind(X8, c_0), % 0.19/0.39 bind(X9, c_times(X1,X2,X3)), % 0.19/0.39 bind(X10, t_b), % 0.19/0.39 bind(X11, v_f(X12)), % 0.19/0.39 bind(X12, v_x(X0)), % 0.19/0.39 bind(X13, v_x(X0)), % 0.19/0.39 bind(X14, t_b), % 0.19/0.39 bind(X15, t_b) % 0.19/0.39 ], % 0.19/0.39 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 0.19/0.39 % 0.19/0.39 % SZS output end IncompleteProof 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