%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA039-2 : 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 : n020.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 19:08:47 EDT 2022 % Result : Unsatisfiable 0.12s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : ANA039-2 : 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 % 0.12/0.33 % Computer : n020.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 06:06:13 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.34 % SZS status Unsatisfiable % 0.12/0.34 % SZS output begin IncompleteProof % 0.12/0.34 cnf(c0, axiom, % 0.12/0.34 class_Ring__and__Field_Oordered__idom(t_a)). % 0.12/0.34 cnf(c1, plain, % 0.12/0.34 class_Ring__and__Field_Oordered__idom(t_a), % 0.12/0.34 inference(start, [], [c0])). % 0.12/0.34 % 0.12/0.34 cnf(c2, axiom, % 0.12/0.34 class_OrderedGroup_Olordered__ab__group__abs(X0) | ~class_Ring__and__Field_Oordered__idom(X0)). % 0.12/0.34 cnf(a0, assumption, % 0.12/0.34 t_a = X0). % 0.12/0.34 cnf(c3, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.34 cnf(c4, plain, % 0.12/0.34 class_OrderedGroup_Olordered__ab__group__abs(X0), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.34 % 0.12/0.34 cnf(c5, axiom, % 0.12/0.34 c_lessequals(X1,c_HOL_Oabs(X1,X2),X2) | ~class_OrderedGroup_Olordered__ab__group__abs(X2)). % 0.12/0.34 cnf(a1, assumption, % 0.12/0.34 X0 = X2). % 0.12/0.34 cnf(c6, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.12/0.34 cnf(c7, plain, % 0.12/0.34 c_lessequals(X1,c_HOL_Oabs(X1,X2),X2), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.12/0.34 % 0.12/0.34 cnf(c8, axiom, % 0.12/0.34 c_lessequals(c_times(X3,X4,X5),c_times(X6,X4,X5),X5) | ~c_lessequals(c_0,X4,X5) | ~c_lessequals(X3,X6,X5) | ~class_Ring__and__Field_Opordered__semiring(X5)). % 0.12/0.34 cnf(a2, assumption, % 0.12/0.34 X1 = X3). % 0.12/0.34 cnf(a3, assumption, % 0.12/0.34 c_HOL_Oabs(X1,X2) = X6). % 0.12/0.34 cnf(a4, assumption, % 0.12/0.34 X2 = X5). % 0.12/0.34 cnf(c9, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c7, c8])). % 0.12/0.34 cnf(c10, plain, % 0.12/0.34 c_lessequals(c_times(X3,X4,X5),c_times(X6,X4,X5),X5) | ~c_lessequals(c_0,X4,X5) | ~class_Ring__and__Field_Opordered__semiring(X5), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c7, c8])). % 0.12/0.34 % 0.12/0.34 cnf(c11, axiom, % 0.12/0.34 c_lessequals(X7,X8,X9) | ~c_lessequals(X7,X10,X9) | ~c_lessequals(X10,X8,X9) | ~class_Orderings_Oorder(X9)). % 0.12/0.34 cnf(a5, assumption, % 0.12/0.34 c_times(X3,X4,X5) = X10). % 0.12/0.34 cnf(a6, assumption, % 0.12/0.34 c_times(X6,X4,X5) = X8). % 0.12/0.34 cnf(a7, assumption, % 0.12/0.34 X5 = X9). % 0.12/0.34 cnf(c12, plain, % 0.12/0.34 ~c_lessequals(c_0,X4,X5) | ~class_Ring__and__Field_Opordered__semiring(X5), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])). % 0.12/0.34 cnf(c13, plain, % 0.12/0.34 c_lessequals(X7,X8,X9) | ~c_lessequals(X7,X10,X9) | ~class_Orderings_Oorder(X9), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])). % 0.12/0.34 % 0.12/0.34 cnf(c14, axiom, % 0.12/0.34 ~c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)). % 0.12/0.34 cnf(a8, assumption, % 0.12/0.34 X7 = c_HOL_Oabs(v_h(v_x),t_a)). % 0.12/0.34 cnf(a9, assumption, % 0.12/0.34 X8 = c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a)). % 0.12/0.34 cnf(a10, assumption, % 0.12/0.34 X9 = t_a). % 0.12/0.34 cnf(c15, plain, % 0.12/0.34 ~c_lessequals(X7,X10,X9) | ~class_Orderings_Oorder(X9), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c13, c14])). % 0.12/0.34 cnf(c16, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c13, c14])). % 0.12/0.34 % 0.12/0.34 cnf(c17, axiom, % 0.12/0.34 c_lessequals(c_HOL_Oabs(v_h(X11),t_a),c_times(v_c,c_HOL_Oabs(v_f(X11),t_a),t_a),t_a)). % 0.12/0.34 cnf(a11, assumption, % 0.12/0.34 X7 = c_HOL_Oabs(v_h(X11),t_a)). % 0.12/0.34 cnf(a12, assumption, % 0.12/0.34 X10 = c_times(v_c,c_HOL_Oabs(v_f(X11),t_a),t_a)). % 0.12/0.34 cnf(a13, assumption, % 0.12/0.34 X9 = t_a). % 0.12/0.34 cnf(c18, plain, % 0.12/0.34 ~class_Orderings_Oorder(X9), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c15, c17])). % 0.12/0.34 cnf(c19, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c15, c17])). % 0.12/0.34 % 0.12/0.34 cnf(c20, axiom, % 0.12/0.34 class_Orderings_Oorder(X12) | ~class_Ring__and__Field_Oordered__idom(X12)). % 0.12/0.34 cnf(a14, assumption, % 0.12/0.34 X9 = X12). % 0.12/0.34 cnf(c21, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a14])], [c18, c20])). % 0.12/0.34 cnf(c22, plain, % 0.12/0.34 ~class_Ring__and__Field_Oordered__idom(X12), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a14])], [c18, c20])). % 0.12/0.34 % 0.12/0.34 cnf(c23, plain, % 0.12/0.34 class_Ring__and__Field_Oordered__idom(t_a)). % 0.12/0.34 cnf(a15, assumption, % 0.12/0.34 X12 = t_a). % 0.12/0.34 cnf(c24, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a15])], [c22, c23])). % 0.12/0.34 % 0.12/0.34 cnf(c25, axiom, % 0.12/0.34 c_lessequals(c_0,c_HOL_Oabs(X13,X14),X14) | ~class_OrderedGroup_Olordered__ab__group__abs(X14)). % 0.12/0.34 cnf(a16, assumption, % 0.12/0.34 c_0 = c_0). % 0.12/0.34 cnf(a17, assumption, % 0.12/0.34 X4 = c_HOL_Oabs(X13,X14)). % 0.12/0.34 cnf(a18, assumption, % 0.12/0.34 X5 = X14). % 0.12/0.34 cnf(c26, plain, % 0.12/0.34 ~class_Ring__and__Field_Opordered__semiring(X5), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c25])). % 0.12/0.34 cnf(c27, plain, % 0.12/0.34 ~class_OrderedGroup_Olordered__ab__group__abs(X14), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c12, c25])). % 0.12/0.34 % 0.12/0.34 cnf(c28, plain, % 0.12/0.34 class_OrderedGroup_Olordered__ab__group__abs(X0)). % 0.12/0.34 cnf(a19, assumption, % 0.12/0.34 X14 = X0). % 0.12/0.34 cnf(c29, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a19])], [c27, c28])). % 0.12/0.34 % 0.12/0.34 cnf(c30, axiom, % 0.12/0.34 class_Ring__and__Field_Opordered__semiring(X15) | ~class_Ring__and__Field_Oordered__idom(X15)). % 0.12/0.34 cnf(a20, assumption, % 0.12/0.34 X5 = X15). % 0.12/0.34 cnf(c31, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a20])], [c26, c30])). % 0.12/0.34 cnf(c32, plain, % 0.12/0.34 ~class_Ring__and__Field_Oordered__idom(X15), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a20])], [c26, c30])). % 0.12/0.34 % 0.12/0.34 cnf(c33, plain, % 0.12/0.34 class_Ring__and__Field_Oordered__idom(t_a)). % 0.12/0.34 cnf(a21, assumption, % 0.12/0.34 X15 = t_a). % 0.12/0.34 cnf(c34, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a21])], [c32, c33])). % 0.12/0.34 % 0.12/0.34 cnf(c35, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(constraint_solving, [ % 0.12/0.34 bind(X0, t_a), % 0.12/0.34 bind(X1, v_c), % 0.12/0.34 bind(X2, t_a), % 0.12/0.34 bind(X3, v_c), % 0.12/0.34 bind(X4, c_HOL_Oabs(v_f(v_x),t_a)), % 0.12/0.34 bind(X5, t_a), % 0.12/0.34 bind(X6, c_HOL_Oabs(X1,X2)), % 0.12/0.34 bind(X7, c_HOL_Oabs(v_h(v_x),t_a)), % 0.12/0.34 bind(X8, c_times(X6,X4,X5)), % 0.12/0.34 bind(X9, t_a), % 0.12/0.34 bind(X10, c_times(X3,X4,X5)), % 0.12/0.34 bind(X11, v_x), % 0.12/0.34 bind(X12, t_a), % 0.12/0.34 bind(X13, v_f(v_x)), % 0.12/0.34 bind(X14, t_a), % 0.12/0.34 bind(X15, t_a) % 0.12/0.34 ], % 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])). % 0.12/0.34 % 0.12/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------