%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA015-2 : 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 19:08:31 EDT 2022 % Result : Unsatisfiable 56.78s 7.45s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n013.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 06:06:14 EDT 2022 % 0.12/0.33 % CPUTime : % 56.78/7.45 % SZS status Unsatisfiable % 56.78/7.45 % SZS output begin IncompleteProof % 56.78/7.45 cnf(c0, axiom, % 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a)). % 56.78/7.45 cnf(c1, plain, % 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a), % 56.78/7.45 inference(start, [], [c0])). % 56.78/7.45 % 56.78/7.45 cnf(c2, axiom, % 56.78/7.45 class_Ring__and__Field_Oordered__idom(X0) | ~class_Ring__and__Field_Oordered__field(X0)). % 56.78/7.45 cnf(a0, assumption, % 56.78/7.45 t_a = X0). % 56.78/7.45 cnf(c3, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 56.78/7.45 cnf(c4, plain, % 56.78/7.45 class_Ring__and__Field_Oordered__idom(X0), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 56.78/7.45 % 56.78/7.45 cnf(c5, axiom, % 56.78/7.45 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)). % 56.78/7.45 cnf(a1, assumption, % 56.78/7.45 X0 = X3). % 56.78/7.45 cnf(c6, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 56.78/7.45 cnf(c7, plain, % 56.78/7.45 c_HOL_Oabs(c_times(X1,X2,X3),X3) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 56.78/7.45 % 56.78/7.45 cnf(c8, axiom, % 56.78/7.45 c_lessequals(c_times(X4,X5,X6),c_times(X4,X7,X6),X6) | ~c_lessequals(c_0,X4,X6) | ~c_lessequals(X5,X7,X6) | ~class_Ring__and__Field_Opordered__semiring(X6)). % 56.78/7.45 cnf(a2, assumption, % 56.78/7.45 c_times(X4,X5,X6) = c_times(c_HOL_Oabs(X1,X3),c_HOL_Oabs(X2,X3),X3)). % 56.78/7.45 cnf(a3, assumption, % 56.78/7.45 c_HOL_Oabs(c_times(X1,X2,X3),X3) = X8). % 56.78/7.45 cnf(c9, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 56.78/7.45 cnf(c10, plain, % 56.78/7.45 ~c_lessequals(c_0,X4,X6) | ~c_lessequals(X5,X7,X6) | ~class_Ring__and__Field_Opordered__semiring(X6), % 56.78/7.45 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 56.78/7.45 cnf(c11, plain, % 56.78/7.45 c_lessequals(X8,c_times(X4,X7,X6),X6), % 56.78/7.45 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 56.78/7.45 % 56.78/7.45 cnf(c12, axiom, % 56.78/7.45 ~c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X9)),t_a),t_a),c_times(X9,c_HOL_Oabs(v_f(v_x(X9)),t_a),t_a),t_a)). % 56.78/7.45 cnf(a4, assumption, % 56.78/7.45 X10 = X8). % 56.78/7.45 cnf(a5, assumption, % 56.78/7.45 X11 = c_times(X4,X7,X6)). % 56.78/7.45 cnf(a6, assumption, % 56.78/7.45 X12 = X6). % 56.78/7.45 cnf(c13, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(lazy_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 56.78/7.45 cnf(c14, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(lazy_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 56.78/7.45 cnf(c15, plain, % 56.78/7.45 c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X9)),t_a),t_a) != X10 | c_times(X9,c_HOL_Oabs(v_f(v_x(X9)),t_a),t_a) != X11 | t_a != X12, % 56.78/7.45 inference(lazy_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 56.78/7.45 % 56.78/7.45 cnf(a7, assumption, % 56.78/7.45 c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X9)),t_a),t_a) = X10). % 56.78/7.45 cnf(c16, plain, % 56.78/7.45 c_times(X9,c_HOL_Oabs(v_f(v_x(X9)),t_a),t_a) != X11 | t_a != X12, % 56.78/7.45 inference(reflexivity, [assumptions([a7])], [c15])). % 56.78/7.45 % 56.78/7.45 cnf(c17, axiom, % 56.78/7.45 c_times(c_times(X13,X14,X15),X16,X15) = c_times(X13,c_times(X14,X16,X15),X15) | ~class_OrderedGroup_Osemigroup__mult(X15)). % 56.78/7.45 cnf(a8, assumption, % 56.78/7.45 c_times(X9,c_HOL_Oabs(v_f(v_x(X9)),t_a),t_a) = c_times(c_times(X13,X14,X15),X16,X15)). % 56.78/7.45 cnf(c18, plain, % 56.78/7.45 t_a != X12, % 56.78/7.45 inference(strict_function_extension, [assumptions([a8])], [c16, c17])). % 56.78/7.45 cnf(c19, plain, % 56.78/7.45 ~class_OrderedGroup_Osemigroup__mult(X15), % 56.78/7.45 inference(strict_function_extension, [assumptions([a8])], [c16, c17])). % 56.78/7.45 cnf(c20, plain, % 56.78/7.45 X17 != c_times(X13,c_times(X14,X16,X15),X15) | X17 != X11, % 56.78/7.45 inference(strict_function_extension, [assumptions([a8])], [c16, c17])). % 56.78/7.45 % 56.78/7.45 cnf(a9, assumption, % 56.78/7.45 X17 = c_times(X13,c_times(X14,X16,X15),X15)). % 56.78/7.45 cnf(c21, plain, % 56.78/7.45 X17 != X11, % 56.78/7.45 inference(reflexivity, [assumptions([a9])], [c20])). % 56.78/7.45 % 56.78/7.45 cnf(a10, assumption, % 56.78/7.45 X17 = X11). % 56.78/7.45 cnf(c22, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(reflexivity, [assumptions([a10])], [c21])). % 56.78/7.45 % 56.78/7.45 cnf(c23, axiom, % 56.78/7.45 class_OrderedGroup_Osemigroup__mult(X18) | ~class_Ring__and__Field_Ofield(X18)). % 56.78/7.45 cnf(a11, assumption, % 56.78/7.45 X15 = X18). % 56.78/7.45 cnf(c24, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a11])], [c19, c23])). % 56.78/7.45 cnf(c25, plain, % 56.78/7.45 ~class_Ring__and__Field_Ofield(X18), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a11])], [c19, c23])). % 56.78/7.45 % 56.78/7.45 cnf(c26, axiom, % 56.78/7.45 class_Ring__and__Field_Ofield(X19) | ~class_Ring__and__Field_Oordered__field(X19)). % 56.78/7.45 cnf(a12, assumption, % 56.78/7.45 X18 = X19). % 56.78/7.45 cnf(c27, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a12])], [c25, c26])). % 56.78/7.45 cnf(c28, plain, % 56.78/7.45 ~class_Ring__and__Field_Oordered__field(X19), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a12])], [c25, c26])). % 56.78/7.45 % 56.78/7.45 cnf(c29, plain, % 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a)). % 56.78/7.45 cnf(a13, assumption, % 56.78/7.45 X19 = t_a). % 56.78/7.45 cnf(c30, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(predicate_reduction, [assumptions([a13])], [c28, c29])). % 56.78/7.45 % 56.78/7.45 cnf(a14, assumption, % 56.78/7.45 t_a = X12). % 56.78/7.45 cnf(c31, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(reflexivity, [assumptions([a14])], [c18])). % 56.78/7.45 % 56.78/7.45 cnf(c32, axiom, % 56.78/7.45 c_lessequals(c_0,c_HOL_Oabs(X20,X21),X21) | ~class_OrderedGroup_Olordered__ab__group__abs(X21)). % 56.78/7.45 cnf(a15, assumption, % 56.78/7.45 c_0 = c_0). % 56.78/7.45 cnf(a16, assumption, % 56.78/7.45 X4 = c_HOL_Oabs(X20,X21)). % 56.78/7.45 cnf(a17, assumption, % 56.78/7.45 X6 = X21). % 56.78/7.45 cnf(c33, plain, % 56.78/7.45 ~c_lessequals(X5,X7,X6) | ~class_Ring__and__Field_Opordered__semiring(X6), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c10, c32])). % 56.78/7.45 cnf(c34, plain, % 56.78/7.45 ~class_OrderedGroup_Olordered__ab__group__abs(X21), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c10, c32])). % 56.78/7.45 % 56.78/7.45 cnf(c35, axiom, % 56.78/7.45 class_OrderedGroup_Olordered__ab__group__abs(X22) | ~class_Ring__and__Field_Oordered__field(X22)). % 56.78/7.45 cnf(a18, assumption, % 56.78/7.45 X21 = X22). % 56.78/7.45 cnf(c36, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a18])], [c34, c35])). % 56.78/7.45 cnf(c37, plain, % 56.78/7.45 ~class_Ring__and__Field_Oordered__field(X22), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a18])], [c34, c35])). % 56.78/7.45 % 56.78/7.45 cnf(c38, plain, % 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a)). % 56.78/7.45 cnf(a19, assumption, % 56.78/7.45 X22 = t_a). % 56.78/7.45 cnf(c39, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(predicate_reduction, [assumptions([a19])], [c37, c38])). % 56.78/7.45 % 56.78/7.45 cnf(c40, axiom, % 56.78/7.45 c_lessequals(c_HOL_Oabs(v_g(X23),t_a),c_times(v_d,c_HOL_Oabs(v_f(X23),t_a),t_a),t_a)). % 56.78/7.45 cnf(a20, assumption, % 56.78/7.45 X5 = c_HOL_Oabs(v_g(X23),t_a)). % 56.78/7.45 cnf(a21, assumption, % 56.78/7.45 X7 = c_times(v_d,c_HOL_Oabs(v_f(X23),t_a),t_a)). % 56.78/7.45 cnf(a22, assumption, % 56.78/7.45 X6 = t_a). % 56.78/7.45 cnf(c41, plain, % 56.78/7.45 ~class_Ring__and__Field_Opordered__semiring(X6), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c33, c40])). % 56.78/7.45 cnf(c42, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c33, c40])). % 56.78/7.45 % 56.78/7.45 cnf(c43, axiom, % 56.78/7.45 class_Ring__and__Field_Opordered__semiring(X24) | ~class_Ring__and__Field_Oordered__field(X24)). % 56.78/7.45 cnf(a23, assumption, % 56.78/7.45 X6 = X24). % 56.78/7.45 cnf(c44, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a23])], [c41, c43])). % 56.78/7.45 cnf(c45, plain, % 56.78/7.45 ~class_Ring__and__Field_Oordered__field(X24), % 56.78/7.45 inference(strict_predicate_extension, [assumptions([a23])], [c41, c43])). % 56.78/7.45 % 56.78/7.45 cnf(c46, plain, % 56.78/7.45 class_Ring__and__Field_Oordered__field(t_a)). % 56.78/7.45 cnf(a24, assumption, % 56.78/7.45 X24 = t_a). % 56.78/7.45 cnf(c47, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(predicate_reduction, [assumptions([a24])], [c45, c46])). % 56.78/7.45 % 56.78/7.45 cnf(c48, plain, % 56.78/7.45 $false, % 56.78/7.45 inference(constraint_solving, [ % 56.78/7.45 bind(X0, t_a), % 56.78/7.45 bind(X1, c_HOL_Oinverse(v_c,t_a)), % 56.78/7.45 bind(X2, v_g(v_x(X9))), % 56.78/7.45 bind(X3, t_a), % 56.78/7.45 bind(X4, c_HOL_Oabs(X1,X3)), % 56.78/7.45 bind(X5, c_HOL_Oabs(X2,X3)), % 56.78/7.45 bind(X6, t_a), % 56.78/7.45 bind(X7, c_times(X14,X16,X15)), % 56.78/7.45 bind(X8, c_HOL_Oabs(c_times(X1,X2,X3),X3)), % 56.78/7.45 bind(X9, c_times(X13,X14,X15)), % 56.78/7.45 bind(X10, c_HOL_Oabs(c_times(X1,X2,X3),X3)), % 56.78/7.45 bind(X11, c_times(X4,X7,X6)), % 56.78/7.45 bind(X12, t_a), % 56.78/7.45 bind(X13, c_HOL_Oabs(X1,X3)), % 56.78/7.45 bind(X14, v_d), % 56.78/7.45 bind(X15, t_a), % 56.78/7.45 bind(X16, c_HOL_Oabs(v_f(v_x(X9)),t_a)), % 56.78/7.45 bind(X17, c_times(X13,c_times(X14,X16,X15),X15)), % 56.78/7.45 bind(X18, t_a), % 56.78/7.45 bind(X19, t_a), % 56.78/7.45 bind(X20, c_HOL_Oinverse(v_c,t_a)), % 56.78/7.45 bind(X21, t_a), % 56.78/7.45 bind(X22, t_a), % 56.78/7.45 bind(X23, v_x(X9)), % 56.78/7.45 bind(X24, t_a) % 56.78/7.45 ], % 56.78/7.45 [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])). % 56.78/7.45 % 56.78/7.45 % SZS output end IncompleteProof %------------------------------------------------------------------------------