%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA020-2 : 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 : n008.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 19:08:35 EDT 2022 % Result : Unsatisfiable 0.12s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : ANA020-2 : 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 : n008.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 06:16:23 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.35 % SZS status Unsatisfiable % 0.12/0.35 % SZS output begin IncompleteProof % 0.12/0.35 cnf(c0, axiom, % 0.12/0.35 c_0 = v_x). % 0.12/0.35 cnf(c1, plain, % 0.12/0.35 c_0 = v_x, % 0.12/0.35 inference(start, [], [c0])). % 0.12/0.35 % 0.12/0.35 cnf(c2, axiom, % 0.12/0.35 ~c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a)). % 0.12/0.35 cnf(a0, assumption, % 0.12/0.35 v_x = v_x). % 0.12/0.35 cnf(a1, assumption, % 0.12/0.35 c_0 = X0). % 0.12/0.35 cnf(c3, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.35 cnf(c4, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.35 cnf(c5, plain, % 0.12/0.35 ~c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a), % 0.12/0.35 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.35 % 0.12/0.35 cnf(c6, axiom, % 0.12/0.35 c_0 = v_f(c_0)). % 0.12/0.35 cnf(a2, assumption, % 0.12/0.35 v_f(X0) = v_f(c_0)). % 0.12/0.35 cnf(c7, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 0.12/0.35 cnf(c8, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 0.12/0.35 cnf(c9, plain, % 0.12/0.35 X1 != c_0 | ~c_lessequals(c_HOL_Oabs(X1,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a), % 0.12/0.35 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 0.12/0.35 % 0.12/0.35 cnf(a3, assumption, % 0.12/0.35 X1 = c_0). % 0.12/0.35 cnf(c10, plain, % 0.12/0.35 ~c_lessequals(c_HOL_Oabs(X1,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a), % 0.12/0.35 inference(reflexivity, [assumptions([a3])], [c9])). % 0.12/0.35 % 0.12/0.35 cnf(c11, axiom, % 0.12/0.35 c_0 = c_HOL_Oabs(c_0,X2) | ~class_OrderedGroup_Olordered__ab__group__abs(X2)). % 0.12/0.35 cnf(a4, assumption, % 0.12/0.35 c_HOL_Oabs(X1,t_a) = c_HOL_Oabs(c_0,X2)). % 0.12/0.35 cnf(c12, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c10, c11])). % 0.12/0.35 cnf(c13, plain, % 0.12/0.35 ~class_OrderedGroup_Olordered__ab__group__abs(X2), % 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c10, c11])). % 0.12/0.35 cnf(c14, plain, % 0.12/0.35 X3 != c_0 | ~c_lessequals(X3,c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a), % 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c10, c11])). % 0.12/0.35 % 0.12/0.35 cnf(a5, assumption, % 0.12/0.35 X3 = c_0). % 0.12/0.35 cnf(c15, plain, % 0.12/0.35 ~c_lessequals(X3,c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a), % 0.12/0.35 inference(reflexivity, [assumptions([a5])], [c14])). % 0.12/0.35 % 0.12/0.35 cnf(c16, axiom, % 0.12/0.35 c_lessequals(c_0,c_times(X4,X5,X6),X6) | ~c_lessequals(c_0,X4,X6) | ~c_lessequals(c_0,X5,X6) | ~class_Ring__and__Field_Opordered__cancel__semiring(X6)). % 0.12/0.35 cnf(a6, assumption, % 0.12/0.35 X3 = c_0). % 0.12/0.35 cnf(a7, assumption, % 0.12/0.35 c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a) = c_times(X4,X5,X6)). % 0.12/0.35 cnf(a8, assumption, % 0.12/0.35 t_a = X6). % 0.12/0.35 cnf(c17, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c15, c16])). % 0.12/0.35 cnf(c18, plain, % 0.12/0.35 ~c_lessequals(c_0,X4,X6) | ~c_lessequals(c_0,X5,X6) | ~class_Ring__and__Field_Opordered__cancel__semiring(X6), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c15, c16])). % 0.12/0.35 % 0.12/0.35 cnf(c19, axiom, % 0.12/0.35 c_lessequals(X7,X8,X9) | ~c_less(X7,X8,X9) | ~class_Orderings_Oorder(X9)). % 0.12/0.35 cnf(a9, assumption, % 0.12/0.35 c_0 = X7). % 0.12/0.35 cnf(a10, assumption, % 0.12/0.35 X4 = X8). % 0.12/0.35 cnf(a11, assumption, % 0.12/0.35 X6 = X9). % 0.12/0.35 cnf(c20, plain, % 0.12/0.35 ~c_lessequals(c_0,X5,X6) | ~class_Ring__and__Field_Opordered__cancel__semiring(X6), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c18, c19])). % 0.12/0.35 cnf(c21, plain, % 0.12/0.35 ~c_less(X7,X8,X9) | ~class_Orderings_Oorder(X9), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c18, c19])). % 0.12/0.35 % 0.12/0.35 cnf(c22, axiom, % 0.12/0.35 c_less(c_0,v_c,t_a)). % 0.12/0.35 cnf(a12, assumption, % 0.12/0.35 X7 = c_0). % 0.12/0.35 cnf(a13, assumption, % 0.12/0.35 X8 = v_c). % 0.12/0.35 cnf(a14, assumption, % 0.12/0.35 X9 = t_a). % 0.12/0.35 cnf(c23, plain, % 0.12/0.35 ~class_Orderings_Oorder(X9), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c21, c22])). % 0.12/0.35 cnf(c24, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c21, c22])). % 0.12/0.35 % 0.12/0.35 cnf(c25, axiom, % 0.12/0.35 class_Orderings_Oorder(X10) | ~class_Ring__and__Field_Oordered__idom(X10)). % 0.12/0.35 cnf(a15, assumption, % 0.12/0.35 X9 = X10). % 0.12/0.35 cnf(c26, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15])], [c23, c25])). % 0.12/0.35 cnf(c27, plain, % 0.12/0.35 ~class_Ring__and__Field_Oordered__idom(X10), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15])], [c23, c25])). % 0.12/0.35 % 0.12/0.35 cnf(c28, axiom, % 0.12/0.35 class_Ring__and__Field_Oordered__idom(t_a)). % 0.12/0.35 cnf(a16, assumption, % 0.12/0.35 X10 = t_a). % 0.12/0.35 cnf(c29, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a16])], [c27, c28])). % 0.12/0.35 cnf(c30, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a16])], [c27, c28])). % 0.12/0.35 % 0.12/0.35 cnf(c31, axiom, % 0.12/0.35 c_lessequals(c_0,c_HOL_Oabs(X11,X12),X12) | ~class_OrderedGroup_Olordered__ab__group__abs(X12)). % 0.12/0.35 cnf(a17, assumption, % 0.12/0.35 c_0 = c_0). % 0.12/0.35 cnf(a18, assumption, % 0.12/0.35 X5 = c_HOL_Oabs(X11,X12)). % 0.12/0.35 cnf(a19, assumption, % 0.12/0.35 X6 = X12). % 0.12/0.35 cnf(c32, plain, % 0.12/0.35 ~class_Ring__and__Field_Opordered__cancel__semiring(X6), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c20, c31])). % 0.12/0.35 cnf(c33, plain, % 0.12/0.35 ~class_OrderedGroup_Olordered__ab__group__abs(X12), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c20, c31])). % 0.12/0.35 % 0.12/0.35 cnf(c34, axiom, % 0.12/0.35 class_OrderedGroup_Olordered__ab__group__abs(X13) | ~class_Ring__and__Field_Oordered__idom(X13)). % 0.12/0.35 cnf(a20, assumption, % 0.12/0.35 X12 = X13). % 0.12/0.35 cnf(c35, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a20])], [c33, c34])). % 0.12/0.35 cnf(c36, plain, % 0.12/0.35 ~class_Ring__and__Field_Oordered__idom(X13), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a20])], [c33, c34])). % 0.12/0.35 % 0.12/0.35 cnf(c37, plain, % 0.12/0.35 class_Ring__and__Field_Oordered__idom(X10)). % 0.12/0.35 cnf(a21, assumption, % 0.12/0.35 X13 = X10). % 0.12/0.35 cnf(c38, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(predicate_reduction, [assumptions([a21])], [c36, c37])). % 0.12/0.35 % 0.12/0.35 cnf(c39, axiom, % 0.12/0.35 class_Ring__and__Field_Opordered__cancel__semiring(X14) | ~class_Ring__and__Field_Oordered__idom(X14)). % 0.12/0.35 cnf(a22, assumption, % 0.12/0.35 X6 = X14). % 0.12/0.35 cnf(c40, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a22])], [c32, c39])). % 0.12/0.35 cnf(c41, plain, % 0.12/0.35 ~class_Ring__and__Field_Oordered__idom(X14), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a22])], [c32, c39])). % 0.12/0.35 % 0.12/0.35 cnf(c42, plain, % 0.12/0.35 class_Ring__and__Field_Oordered__idom(X10)). % 0.12/0.35 cnf(a23, assumption, % 0.12/0.35 X14 = X10). % 0.12/0.35 cnf(c43, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(predicate_reduction, [assumptions([a23])], [c41, c42])). % 0.12/0.35 % 0.12/0.35 cnf(c44, plain, % 0.12/0.35 class_OrderedGroup_Olordered__ab__group__abs(X12)). % 0.12/0.35 cnf(a24, assumption, % 0.12/0.35 X2 = X12). % 0.12/0.35 cnf(c45, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(predicate_reduction, [assumptions([a24])], [c13, c44])). % 0.12/0.35 % 0.12/0.35 cnf(c46, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(constraint_solving, [ % 0.12/0.35 bind(X0, c_0), % 0.12/0.35 bind(X1, c_0), % 0.12/0.35 bind(X2, t_a), % 0.12/0.35 bind(X3, c_0), % 0.12/0.35 bind(X4, v_c), % 0.12/0.35 bind(X5, c_HOL_Oabs(v_h(v_x),t_a)), % 0.12/0.35 bind(X6, t_a), % 0.12/0.35 bind(X7, c_0), % 0.12/0.35 bind(X8, v_c), % 0.12/0.35 bind(X9, t_a), % 0.12/0.35 bind(X10, t_a), % 0.12/0.35 bind(X11, v_h(v_x)), % 0.12/0.35 bind(X12, t_a), % 0.12/0.35 bind(X13, t_a), % 0.12/0.35 bind(X14, t_a) % 0.12/0.35 ], % 0.12/0.35 [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])). % 0.12/0.35 % 0.12/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------