%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA044-2 : 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 : n011.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 0.12s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : ANA044-2 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n011.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 05:43:39 EDT 2022 % 0.12/0.33 % 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 c_lessequals(c_0,v_l(X0,X1),t_b)). % 0.12/0.34 cnf(c1, plain, % 0.12/0.34 c_lessequals(c_0,v_l(X0,X1),t_b), % 0.12/0.34 inference(start, [], [c0])). % 0.12/0.34 % 0.12/0.34 cnf(c2, axiom, % 0.12/0.34 c_lessequals(c_0,c_times(X2,X3,X4),X4) | ~c_lessequals(c_0,X2,X4) | ~c_lessequals(c_0,X3,X4) | ~class_Ring__and__Field_Opordered__cancel__semiring(X4)). % 0.12/0.34 cnf(a0, assumption, % 0.12/0.34 c_0 = c_0). % 0.12/0.34 cnf(a1, assumption, % 0.12/0.34 v_l(X0,X1) = X2). % 0.12/0.34 cnf(a2, assumption, % 0.12/0.34 t_b = X4). % 0.12/0.34 cnf(c3, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.34 cnf(c4, plain, % 0.12/0.34 c_lessequals(c_0,c_times(X2,X3,X4),X4) | ~c_lessequals(c_0,X3,X4) | ~class_Ring__and__Field_Opordered__cancel__semiring(X4), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.34 % 0.12/0.34 cnf(c5, axiom, % 0.12/0.34 c_HOL_Oabs(X5,X6) = X5 | ~c_lessequals(c_0,X5,X6) | ~class_OrderedGroup_Olordered__ab__group__abs(X6)). % 0.12/0.34 cnf(a3, assumption, % 0.12/0.34 c_0 = c_0). % 0.12/0.34 cnf(a4, assumption, % 0.12/0.34 c_times(X2,X3,X4) = X5). % 0.12/0.34 cnf(a5, assumption, % 0.12/0.34 X4 = X6). % 0.12/0.34 cnf(c6, plain, % 0.12/0.34 ~c_lessequals(c_0,X3,X4) | ~class_Ring__and__Field_Opordered__cancel__semiring(X4), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.12/0.34 cnf(c7, plain, % 0.12/0.34 c_HOL_Oabs(X5,X6) = X5 | ~class_OrderedGroup_Olordered__ab__group__abs(X6), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.12/0.34 % 0.12/0.34 cnf(c8, axiom, % 0.12/0.34 c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b)). % 0.12/0.34 cnf(a6, assumption, % 0.12/0.34 c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) = c_HOL_Oabs(X5,X6)). % 0.12/0.34 cnf(c9, plain, % 0.12/0.34 ~class_OrderedGroup_Olordered__ab__group__abs(X6), % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])). % 0.12/0.34 cnf(c10, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])). % 0.12/0.34 cnf(c11, plain, % 0.12/0.34 c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != X5, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a6])], [c7, c8])). % 0.12/0.34 % 0.12/0.34 cnf(a7, assumption, % 0.12/0.34 c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) = X5). % 0.12/0.34 cnf(c12, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a7])], [c11])). % 0.12/0.34 % 0.12/0.34 cnf(c13, axiom, % 0.12/0.34 class_OrderedGroup_Olordered__ab__group__abs(X7) | ~class_Ring__and__Field_Oordered__idom(X7)). % 0.12/0.34 cnf(a8, assumption, % 0.12/0.34 X6 = X7). % 0.12/0.34 cnf(c14, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8])], [c9, c13])). % 0.12/0.34 cnf(c15, plain, % 0.12/0.34 ~class_Ring__and__Field_Oordered__idom(X7), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a8])], [c9, c13])). % 0.12/0.34 % 0.12/0.34 cnf(c16, axiom, % 0.12/0.34 class_Ring__and__Field_Oordered__idom(t_b)). % 0.12/0.34 cnf(a9, assumption, % 0.12/0.34 X7 = t_b). % 0.12/0.34 cnf(c17, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9])], [c15, c16])). % 0.12/0.34 cnf(c18, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9])], [c15, c16])). % 0.12/0.34 % 0.12/0.34 cnf(c19, axiom, % 0.12/0.34 c_lessequals(c_0,v_h(X8),t_b)). % 0.12/0.34 cnf(a10, assumption, % 0.12/0.34 c_0 = c_0). % 0.12/0.34 cnf(a11, assumption, % 0.12/0.34 X3 = v_h(X8)). % 0.12/0.34 cnf(a12, assumption, % 0.12/0.34 X4 = t_b). % 0.12/0.34 cnf(c20, plain, % 0.12/0.34 ~class_Ring__and__Field_Opordered__cancel__semiring(X4), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c6, c19])). % 0.12/0.34 cnf(c21, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c6, c19])). % 0.12/0.34 % 0.12/0.34 cnf(c22, axiom, % 0.12/0.34 class_Ring__and__Field_Opordered__cancel__semiring(X9) | ~class_Ring__and__Field_Oordered__idom(X9)). % 0.12/0.34 cnf(a13, assumption, % 0.12/0.34 X4 = X9). % 0.12/0.34 cnf(c23, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a13])], [c20, c22])). % 0.12/0.34 cnf(c24, plain, % 0.12/0.34 ~class_Ring__and__Field_Oordered__idom(X9), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a13])], [c20, c22])). % 0.12/0.34 % 0.12/0.34 cnf(c25, plain, % 0.12/0.34 class_Ring__and__Field_Oordered__idom(X7)). % 0.12/0.34 cnf(a14, assumption, % 0.12/0.34 X9 = X7). % 0.12/0.34 cnf(c26, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a14])], [c24, c25])). % 0.12/0.34 % 0.12/0.34 cnf(c27, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(constraint_solving, [ % 0.12/0.34 bind(X0, v_x), % 0.12/0.34 bind(X1, v_xa), % 0.12/0.34 bind(X2, v_l(X0,X1)), % 0.12/0.34 bind(X3, v_h(v_k(v_x,v_xa))), % 0.12/0.34 bind(X4, t_b), % 0.12/0.34 bind(X5, c_times(X2,X3,X4)), % 0.12/0.34 bind(X6, t_b), % 0.12/0.34 bind(X7, t_b), % 0.12/0.34 bind(X8, v_k(v_x,v_xa)), % 0.12/0.34 bind(X9, t_b) % 0.12/0.34 ], % 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 0.12/0.34 % 0.12/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------