%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA034-2 : 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 : n015.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 19:08:44 EDT 2022 % Result : Unsatisfiable 2.13s 0.67s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : ANA034-2 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n015.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Fri Jul 8 05:29:50 EDT 2022 % 0.14/0.36 % CPUTime : % 2.13/0.67 % SZS status Unsatisfiable % 2.13/0.67 % SZS output begin IncompleteProof % 2.13/0.67 cnf(c0, axiom, % 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b)). % 2.13/0.67 cnf(c1, plain, % 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b), % 2.13/0.67 inference(start, [], [c0])). % 2.13/0.67 % 2.13/0.67 cnf(c2, axiom, % 2.13/0.67 c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2) | ~class_Ring__and__Field_Oordered__idom(X2)). % 2.13/0.67 cnf(a0, assumption, % 2.13/0.67 t_b = X2). % 2.13/0.67 cnf(c3, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.13/0.67 cnf(c4, plain, % 2.13/0.67 c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.13/0.67 % 2.13/0.67 cnf(c5, axiom, % 2.13/0.67 c_lessequals(c_times(X3,X4,X5),c_times(X6,X7,X5),X5) | ~c_lessequals(c_0,X6,X5) | ~c_lessequals(c_0,X4,X5) | ~c_lessequals(X3,X6,X5) | ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5)). % 2.13/0.67 cnf(a1, assumption, % 2.13/0.67 c_times(X3,X4,X5) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2)). % 2.13/0.67 cnf(a2, assumption, % 2.13/0.67 c_HOL_Oabs(c_times(X0,X1,X2),X2) = X8). % 2.13/0.67 cnf(c6, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 2.13/0.67 cnf(c7, plain, % 2.13/0.67 ~c_lessequals(c_0,X6,X5) | ~c_lessequals(c_0,X4,X5) | ~c_lessequals(X3,X6,X5) | ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5), % 2.13/0.67 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 2.13/0.67 cnf(c8, plain, % 2.13/0.67 c_lessequals(X8,c_times(X6,X7,X5),X5), % 2.13/0.67 inference(strict_subterm_extension, [assumptions([a1, a2])], [c4, c5])). % 2.13/0.67 % 2.13/0.67 cnf(c9, axiom, % 2.13/0.67 c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)). % 2.13/0.67 cnf(a3, assumption, % 2.13/0.67 c_times(X6,X7,X5) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)). % 2.13/0.67 cnf(c10, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_function_extension, [assumptions([a3])], [c8, c9])). % 2.13/0.67 cnf(c11, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_function_extension, [assumptions([a3])], [c8, c9])). % 2.13/0.67 cnf(c12, plain, % 2.13/0.67 X9 != c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) | c_lessequals(X8,X9,X5), % 2.13/0.67 inference(strict_function_extension, [assumptions([a3])], [c8, c9])). % 2.13/0.67 % 2.13/0.67 cnf(a4, assumption, % 2.13/0.67 X9 = c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)). % 2.13/0.67 cnf(c13, plain, % 2.13/0.67 c_lessequals(X8,X9,X5), % 2.13/0.67 inference(reflexivity, [assumptions([a4])], [c12])). % 2.13/0.67 % 2.13/0.67 cnf(c14, axiom, % 2.13/0.67 ~c_lessequals(c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b),c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)). % 2.13/0.67 cnf(a5, assumption, % 2.13/0.67 X8 = c_HOL_Oabs(c_times(v_a(v_x),v_b(v_x),t_b),t_b)). % 2.13/0.67 cnf(a6, assumption, % 2.13/0.67 X9 = c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)). % 2.13/0.67 cnf(a7, assumption, % 2.13/0.67 X5 = t_b). % 2.13/0.67 cnf(c15, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c13, c14])). % 2.13/0.67 cnf(c16, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c13, c14])). % 2.13/0.67 % 2.13/0.67 cnf(c17, axiom, % 2.13/0.67 c_lessequals(c_0,c_times(X10,X11,X12),X12) | ~c_lessequals(c_0,X10,X12) | ~c_lessequals(c_0,X11,X12) | ~class_Ring__and__Field_Opordered__cancel__semiring(X12)). % 2.13/0.67 cnf(a8, assumption, % 2.13/0.67 c_0 = c_0). % 2.13/0.67 cnf(a9, assumption, % 2.13/0.67 X6 = c_times(X10,X11,X12)). % 2.13/0.67 cnf(a10, assumption, % 2.13/0.67 X5 = X12). % 2.13/0.67 cnf(c18, plain, % 2.13/0.67 ~c_lessequals(c_0,X4,X5) | ~c_lessequals(X3,X6,X5) | ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c7, c17])). % 2.13/0.67 cnf(c19, plain, % 2.13/0.67 ~c_lessequals(c_0,X10,X12) | ~c_lessequals(c_0,X11,X12) | ~class_Ring__and__Field_Opordered__cancel__semiring(X12), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c7, c17])). % 2.13/0.67 % 2.13/0.67 cnf(c20, axiom, % 2.13/0.67 c_lessequals(X13,X14,X15) | ~c_less(X13,X14,X15) | ~class_Orderings_Oorder(X15)). % 2.13/0.67 cnf(a11, assumption, % 2.13/0.67 c_0 = X13). % 2.13/0.67 cnf(a12, assumption, % 2.13/0.67 X10 = X14). % 2.13/0.67 cnf(a13, assumption, % 2.13/0.67 X12 = X15). % 2.13/0.67 cnf(c21, plain, % 2.13/0.67 ~c_lessequals(c_0,X11,X12) | ~class_Ring__and__Field_Opordered__cancel__semiring(X12), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c19, c20])). % 2.13/0.67 cnf(c22, plain, % 2.13/0.67 ~c_less(X13,X14,X15) | ~class_Orderings_Oorder(X15), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c19, c20])). % 2.13/0.67 % 2.13/0.67 cnf(c23, axiom, % 2.13/0.67 c_less(c_0,v_c,t_b)). % 2.13/0.67 cnf(a14, assumption, % 2.13/0.67 X13 = c_0). % 2.13/0.67 cnf(a15, assumption, % 2.13/0.67 X14 = v_c). % 2.13/0.67 cnf(a16, assumption, % 2.13/0.67 X15 = t_b). % 2.13/0.67 cnf(c24, plain, % 2.13/0.67 ~class_Orderings_Oorder(X15), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c22, c23])). % 2.13/0.67 cnf(c25, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c22, c23])). % 2.13/0.67 % 2.13/0.67 cnf(c26, axiom, % 2.13/0.67 class_Orderings_Oorder(X16) | ~class_OrderedGroup_Olordered__ab__group__abs(X16)). % 2.13/0.67 cnf(a17, assumption, % 2.13/0.67 X15 = X16). % 2.13/0.67 cnf(c27, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a17])], [c24, c26])). % 2.13/0.67 cnf(c28, plain, % 2.13/0.67 ~class_OrderedGroup_Olordered__ab__group__abs(X16), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a17])], [c24, c26])). % 2.13/0.67 % 2.13/0.67 cnf(c29, axiom, % 2.13/0.67 class_OrderedGroup_Olordered__ab__group__abs(X17) | ~class_Ring__and__Field_Oordered__idom(X17)). % 2.13/0.67 cnf(a18, assumption, % 2.13/0.67 X16 = X17). % 2.13/0.67 cnf(c30, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a18])], [c28, c29])). % 2.13/0.67 cnf(c31, plain, % 2.13/0.67 ~class_Ring__and__Field_Oordered__idom(X17), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a18])], [c28, c29])). % 2.13/0.67 % 2.13/0.67 cnf(c32, plain, % 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b)). % 2.13/0.67 cnf(a19, assumption, % 2.13/0.67 X17 = t_b). % 2.13/0.67 cnf(c33, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(predicate_reduction, [assumptions([a19])], [c31, c32])). % 2.13/0.67 % 2.13/0.67 cnf(c34, axiom, % 2.13/0.67 c_lessequals(c_0,c_HOL_Oabs(X18,X19),X19) | ~class_OrderedGroup_Olordered__ab__group__abs(X19)). % 2.13/0.67 cnf(a20, assumption, % 2.13/0.67 c_0 = c_0). % 2.13/0.67 cnf(a21, assumption, % 2.13/0.67 X11 = c_HOL_Oabs(X18,X19)). % 2.13/0.67 cnf(a22, assumption, % 2.13/0.67 X12 = X19). % 2.13/0.67 cnf(c35, plain, % 2.13/0.67 ~class_Ring__and__Field_Opordered__cancel__semiring(X12), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c21, c34])). % 2.13/0.67 cnf(c36, plain, % 2.13/0.67 ~class_OrderedGroup_Olordered__ab__group__abs(X19), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c21, c34])). % 2.13/0.67 % 2.13/0.67 cnf(c37, plain, % 2.13/0.67 class_OrderedGroup_Olordered__ab__group__abs(X16)). % 2.13/0.67 cnf(a23, assumption, % 2.13/0.67 X19 = X16). % 2.13/0.67 cnf(c38, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(predicate_reduction, [assumptions([a23])], [c36, c37])). % 2.13/0.67 % 2.13/0.67 cnf(c39, axiom, % 2.13/0.67 class_Ring__and__Field_Opordered__cancel__semiring(X20) | ~class_Ring__and__Field_Oordered__idom(X20)). % 2.13/0.67 cnf(a24, assumption, % 2.13/0.67 X12 = X20). % 2.13/0.67 cnf(c40, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a24])], [c35, c39])). % 2.13/0.67 cnf(c41, plain, % 2.13/0.67 ~class_Ring__and__Field_Oordered__idom(X20), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a24])], [c35, c39])). % 2.13/0.67 % 2.13/0.67 cnf(c42, plain, % 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b)). % 2.13/0.67 cnf(a25, assumption, % 2.13/0.67 X20 = t_b). % 2.13/0.67 cnf(c43, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(predicate_reduction, [assumptions([a25])], [c41, c42])). % 2.13/0.67 % 2.13/0.67 cnf(c44, axiom, % 2.13/0.67 c_lessequals(c_0,c_HOL_Oabs(X21,X22),X22) | ~class_OrderedGroup_Olordered__ab__group__abs(X22)). % 2.13/0.67 cnf(a26, assumption, % 2.13/0.67 c_0 = c_0). % 2.13/0.67 cnf(a27, assumption, % 2.13/0.67 X4 = c_HOL_Oabs(X21,X22)). % 2.13/0.67 cnf(a28, assumption, % 2.13/0.67 X5 = X22). % 2.13/0.67 cnf(c45, plain, % 2.13/0.67 ~c_lessequals(X3,X6,X5) | ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c18, c44])). % 2.13/0.67 cnf(c46, plain, % 2.13/0.67 ~class_OrderedGroup_Olordered__ab__group__abs(X22), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a26, a27, a28])], [c18, c44])). % 2.13/0.67 % 2.13/0.67 cnf(c47, plain, % 2.13/0.67 class_OrderedGroup_Olordered__ab__group__abs(X16)). % 2.13/0.67 cnf(a29, assumption, % 2.13/0.67 X22 = X16). % 2.13/0.67 cnf(c48, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(predicate_reduction, [assumptions([a29])], [c46, c47])). % 2.13/0.67 % 2.13/0.67 cnf(c49, axiom, % 2.13/0.67 c_lessequals(c_HOL_Oabs(v_a(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)). % 2.13/0.67 cnf(a30, assumption, % 2.13/0.67 X3 = c_HOL_Oabs(v_a(v_x),t_b)). % 2.13/0.67 cnf(a31, assumption, % 2.13/0.67 X6 = c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b)). % 2.13/0.67 cnf(a32, assumption, % 2.13/0.67 X5 = t_b). % 2.13/0.67 cnf(c50, plain, % 2.13/0.67 ~c_lessequals(X4,X7,X5) | ~class_Ring__and__Field_Opordered__semiring(X5), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c45, c49])). % 2.13/0.67 cnf(c51, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c45, c49])). % 2.13/0.67 % 2.13/0.67 cnf(c52, axiom, % 2.13/0.67 c_lessequals(c_HOL_Oabs(v_b(v_x),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)). % 2.13/0.67 cnf(a33, assumption, % 2.13/0.67 X4 = c_HOL_Oabs(v_b(v_x),t_b)). % 2.13/0.67 cnf(a34, assumption, % 2.13/0.67 X7 = c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b)). % 2.13/0.67 cnf(a35, assumption, % 2.13/0.67 X5 = t_b). % 2.13/0.67 cnf(c53, plain, % 2.13/0.67 ~class_Ring__and__Field_Opordered__semiring(X5), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c50, c52])). % 2.13/0.67 cnf(c54, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c50, c52])). % 2.13/0.67 % 2.13/0.67 cnf(c55, axiom, % 2.13/0.67 class_Ring__and__Field_Opordered__semiring(X23) | ~class_Ring__and__Field_Oordered__idom(X23)). % 2.13/0.67 cnf(a36, assumption, % 2.13/0.67 X5 = X23). % 2.13/0.67 cnf(c56, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a36])], [c53, c55])). % 2.13/0.67 cnf(c57, plain, % 2.13/0.67 ~class_Ring__and__Field_Oordered__idom(X23), % 2.13/0.67 inference(strict_predicate_extension, [assumptions([a36])], [c53, c55])). % 2.13/0.67 % 2.13/0.67 cnf(c58, plain, % 2.13/0.67 class_Ring__and__Field_Oordered__idom(t_b)). % 2.13/0.67 cnf(a37, assumption, % 2.13/0.67 X23 = t_b). % 2.13/0.67 cnf(c59, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(predicate_reduction, [assumptions([a37])], [c57, c58])). % 2.13/0.67 % 2.13/0.67 cnf(c60, plain, % 2.13/0.67 $false, % 2.13/0.67 inference(constraint_solving, [ % 2.13/0.67 bind(X0, v_a(v_x)), % 2.13/0.67 bind(X1, v_b(v_x)), % 2.13/0.67 bind(X2, t_b), % 2.13/0.67 bind(X3, c_HOL_Oabs(X0,X2)), % 2.13/0.67 bind(X4, c_HOL_Oabs(X1,X2)), % 2.13/0.67 bind(X5, t_b), % 2.13/0.67 bind(X6, c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b)), % 2.13/0.67 bind(X7, c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b)), % 2.13/0.67 bind(X8, c_HOL_Oabs(c_times(X0,X1,X2),X2)), % 2.13/0.67 bind(X9, c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)), % 2.13/0.67 bind(X10, v_c), % 2.13/0.67 bind(X11, c_HOL_Oabs(v_f(v_x),t_b)), % 2.13/0.67 bind(X12, t_b), % 2.13/0.67 bind(X13, c_0), % 2.13/0.67 bind(X14, v_c), % 2.13/0.67 bind(X15, t_b), % 2.13/0.67 bind(X16, t_b), % 2.13/0.67 bind(X17, t_b), % 2.13/0.67 bind(X18, v_f(v_x)), % 2.13/0.67 bind(X19, t_b), % 2.13/0.67 bind(X20, t_b), % 2.13/0.67 bind(X21, v_b(v_x)), % 2.13/0.67 bind(X22, t_b), % 2.13/0.67 bind(X23, t_b) % 2.13/0.67 ], % 2.13/0.67 [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, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37])). % 2.13/0.67 % 2.13/0.67 % SZS output end IncompleteProof %------------------------------------------------------------------------------