%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA018-2 : 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 : n018.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 19:08:33 EDT 2022 % Result : Unsatisfiable 2.90s 0.75s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : ANA018-2 : 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 % 0.13/0.33 % Computer : n018.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Fri Jul 8 03:00:10 EDT 2022 % 0.13/0.33 % CPUTime : % 2.90/0.75 % SZS status Unsatisfiable % 2.90/0.75 % SZS output begin IncompleteProof % 2.90/0.75 cnf(c0, axiom, % 2.90/0.75 class_Ring__and__Field_Oordered__idom(t_b)). % 2.90/0.75 cnf(c1, plain, % 2.90/0.75 class_Ring__and__Field_Oordered__idom(t_b), % 2.90/0.75 inference(start, [], [c0])). % 2.90/0.75 % 2.90/0.75 cnf(c2, axiom, % 2.90/0.75 class_OrderedGroup_Osemigroup__mult(X0) | ~class_Ring__and__Field_Oordered__idom(X0)). % 2.90/0.75 cnf(a0, assumption, % 2.90/0.75 t_b = X0). % 2.90/0.75 cnf(c3, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.90/0.75 cnf(c4, plain, % 2.90/0.75 class_OrderedGroup_Osemigroup__mult(X0), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.90/0.75 % 2.90/0.75 cnf(c5, axiom, % 2.90/0.75 c_times(c_times(X1,X2,X3),X4,X3) = c_times(X1,c_times(X2,X4,X3),X3) | ~class_OrderedGroup_Osemigroup__mult(X3)). % 2.90/0.75 cnf(a1, assumption, % 2.90/0.75 X0 = X3). % 2.90/0.75 cnf(c6, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 2.90/0.75 cnf(c7, plain, % 2.90/0.75 c_times(c_times(X1,X2,X3),X4,X3) = c_times(X1,c_times(X2,X4,X3),X3), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 2.90/0.75 % 2.90/0.75 cnf(c8, axiom, % 2.90/0.75 ~c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b)). % 2.90/0.75 cnf(a2, assumption, % 2.90/0.75 c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b) = c_times(c_times(X1,X2,X3),X4,X3)). % 2.90/0.75 cnf(a3, assumption, % 2.90/0.75 c_times(X1,c_times(X2,X4,X3),X3) = X5). % 2.90/0.75 cnf(c9, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 2.90/0.75 cnf(c10, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 2.90/0.75 cnf(c11, plain, % 2.90/0.75 ~c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),X5,t_b), % 2.90/0.75 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 2.90/0.75 % 2.90/0.75 cnf(c12, axiom, % 2.90/0.75 c_lessequals(X6,X7,X8) | ~c_lessequals(X6,X9,X8) | ~c_lessequals(X9,X7,X8) | ~class_Orderings_Oorder(X8)). % 2.90/0.75 cnf(a4, assumption, % 2.90/0.75 c_HOL_Oabs(v_x(v_xa),t_b) = X6). % 2.90/0.75 cnf(a5, assumption, % 2.90/0.75 X5 = X7). % 2.90/0.75 cnf(a6, assumption, % 2.90/0.75 t_b = X8). % 2.90/0.75 cnf(c13, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 2.90/0.75 cnf(c14, plain, % 2.90/0.75 ~c_lessequals(X6,X9,X8) | ~c_lessequals(X9,X7,X8) | ~class_Orderings_Oorder(X8), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 2.90/0.75 % 2.90/0.75 cnf(c15, axiom, % 2.90/0.75 c_lessequals(c_HOL_Oabs(v_x(X10),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X10),t_b),t_b),t_b)). % 2.90/0.75 cnf(a7, assumption, % 2.90/0.75 X6 = c_HOL_Oabs(v_x(X10),t_b)). % 2.90/0.75 cnf(a8, assumption, % 2.90/0.75 X9 = c_times(v_ca,c_HOL_Oabs(v_f(X10),t_b),t_b)). % 2.90/0.75 cnf(a9, assumption, % 2.90/0.75 X8 = t_b). % 2.90/0.75 cnf(c16, plain, % 2.90/0.75 ~c_lessequals(X9,X7,X8) | ~class_Orderings_Oorder(X8), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c14, c15])). % 2.90/0.75 cnf(c17, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c14, c15])). % 2.90/0.75 % 2.90/0.75 cnf(c18, axiom, % 2.90/0.75 c_lessequals(c_times(X11,X12,X13),c_times(X11,X14,X13),X13) | ~c_lessequals(c_0,X11,X13) | ~c_lessequals(X12,X14,X13) | ~class_Ring__and__Field_Opordered__semiring(X13)). % 2.90/0.75 cnf(a10, assumption, % 2.90/0.75 X9 = c_times(X11,X12,X13)). % 2.90/0.75 cnf(a11, assumption, % 2.90/0.75 X7 = c_times(X11,X14,X13)). % 2.90/0.75 cnf(a12, assumption, % 2.90/0.75 X8 = X13). % 2.90/0.75 cnf(c19, plain, % 2.90/0.75 ~class_Orderings_Oorder(X8), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c16, c18])). % 2.90/0.75 cnf(c20, plain, % 2.90/0.75 ~c_lessequals(c_0,X11,X13) | ~c_lessequals(X12,X14,X13) | ~class_Ring__and__Field_Opordered__semiring(X13), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c16, c18])). % 2.90/0.75 % 2.90/0.75 cnf(c21, axiom, % 2.90/0.75 c_lessequals(X15,X16,X17) | ~c_less(X15,X16,X17) | ~class_Orderings_Oorder(X17)). % 2.90/0.75 cnf(a13, assumption, % 2.90/0.75 c_0 = X15). % 2.90/0.75 cnf(a14, assumption, % 2.90/0.75 X11 = X16). % 2.90/0.75 cnf(a15, assumption, % 2.90/0.75 X13 = X17). % 2.90/0.75 cnf(c22, plain, % 2.90/0.75 ~c_lessequals(X12,X14,X13) | ~class_Ring__and__Field_Opordered__semiring(X13), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c20, c21])). % 2.90/0.75 cnf(c23, plain, % 2.90/0.75 ~c_less(X15,X16,X17) | ~class_Orderings_Oorder(X17), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c20, c21])). % 2.90/0.75 % 2.90/0.75 cnf(c24, axiom, % 2.90/0.75 c_less(c_0,v_ca,t_b)). % 2.90/0.75 cnf(a16, assumption, % 2.90/0.75 X15 = c_0). % 2.90/0.75 cnf(a17, assumption, % 2.90/0.75 X16 = v_ca). % 2.90/0.75 cnf(a18, assumption, % 2.90/0.75 X17 = t_b). % 2.90/0.75 cnf(c25, plain, % 2.90/0.75 ~class_Orderings_Oorder(X17), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c23, c24])). % 2.90/0.75 cnf(c26, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c23, c24])). % 2.90/0.75 % 2.90/0.75 cnf(c27, axiom, % 2.90/0.75 class_Orderings_Oorder(X18) | ~class_LOrder_Ojoin__semilorder(X18)). % 2.90/0.75 cnf(a19, assumption, % 2.90/0.75 X17 = X18). % 2.90/0.75 cnf(c28, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a19])], [c25, c27])). % 2.90/0.75 cnf(c29, plain, % 2.90/0.75 ~class_LOrder_Ojoin__semilorder(X18), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a19])], [c25, c27])). % 2.90/0.75 % 2.90/0.75 cnf(c30, axiom, % 2.90/0.75 class_LOrder_Ojoin__semilorder(X19) | ~class_Ring__and__Field_Oordered__idom(X19)). % 2.90/0.75 cnf(a20, assumption, % 2.90/0.75 X18 = X19). % 2.90/0.75 cnf(c31, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a20])], [c29, c30])). % 2.90/0.75 cnf(c32, plain, % 2.90/0.75 ~class_Ring__and__Field_Oordered__idom(X19), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a20])], [c29, c30])). % 2.90/0.75 % 2.90/0.75 cnf(c33, plain, % 2.90/0.75 class_Ring__and__Field_Oordered__idom(t_b)). % 2.90/0.75 cnf(a21, assumption, % 2.90/0.75 X19 = t_b). % 2.90/0.75 cnf(c34, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(predicate_reduction, [assumptions([a21])], [c32, c33])). % 2.90/0.75 % 2.90/0.75 cnf(c35, axiom, % 2.90/0.75 c_lessequals(c_HOL_Oabs(v_f(X20),t_b),c_times(v_c,c_HOL_Oabs(v_g(X20),t_b),t_b),t_b)). % 2.90/0.75 cnf(a22, assumption, % 2.90/0.75 X12 = c_HOL_Oabs(v_f(X20),t_b)). % 2.90/0.75 cnf(a23, assumption, % 2.90/0.75 X14 = c_times(v_c,c_HOL_Oabs(v_g(X20),t_b),t_b)). % 2.90/0.75 cnf(a24, assumption, % 2.90/0.75 X13 = t_b). % 2.90/0.75 cnf(c36, plain, % 2.90/0.75 ~class_Ring__and__Field_Opordered__semiring(X13), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c22, c35])). % 2.90/0.75 cnf(c37, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c22, c35])). % 2.90/0.75 % 2.90/0.75 cnf(c38, axiom, % 2.90/0.75 class_Ring__and__Field_Opordered__semiring(X21) | ~class_Ring__and__Field_Oordered__idom(X21)). % 2.90/0.75 cnf(a25, assumption, % 2.90/0.75 X13 = X21). % 2.90/0.75 cnf(c39, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a25])], [c36, c38])). % 2.90/0.75 cnf(c40, plain, % 2.90/0.75 ~class_Ring__and__Field_Oordered__idom(X21), % 2.90/0.75 inference(strict_predicate_extension, [assumptions([a25])], [c36, c38])). % 2.90/0.75 % 2.90/0.75 cnf(c41, plain, % 2.90/0.75 class_Ring__and__Field_Oordered__idom(t_b)). % 2.90/0.75 cnf(a26, assumption, % 2.90/0.75 X21 = t_b). % 2.90/0.75 cnf(c42, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(predicate_reduction, [assumptions([a26])], [c40, c41])). % 2.90/0.75 % 2.90/0.75 cnf(c43, plain, % 2.90/0.75 class_Orderings_Oorder(X17)). % 2.90/0.75 cnf(a27, assumption, % 2.90/0.75 X8 = X17). % 2.90/0.75 cnf(c44, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(predicate_reduction, [assumptions([a27])], [c19, c43])). % 2.90/0.75 % 2.90/0.75 cnf(c45, plain, % 2.90/0.75 $false, % 2.90/0.75 inference(constraint_solving, [ % 2.90/0.75 bind(X0, t_b), % 2.90/0.75 bind(X1, v_ca), % 2.90/0.75 bind(X2, v_c), % 2.90/0.75 bind(X3, t_b), % 2.90/0.75 bind(X4, c_HOL_Oabs(v_g(v_xa),t_b)), % 2.90/0.75 bind(X5, c_times(X1,c_times(X2,X4,X3),X3)), % 2.90/0.75 bind(X6, c_HOL_Oabs(v_x(v_xa),t_b)), % 2.90/0.75 bind(X7, c_times(X1,c_times(X2,X4,X3),X3)), % 2.90/0.75 bind(X8, t_b), % 2.90/0.75 bind(X9, c_times(v_ca,c_HOL_Oabs(v_f(X10),t_b),t_b)), % 2.90/0.75 bind(X10, v_xa), % 2.90/0.75 bind(X11, v_ca), % 2.90/0.75 bind(X12, c_HOL_Oabs(v_f(X10),t_b)), % 2.90/0.75 bind(X13, t_b), % 2.90/0.75 bind(X14, c_times(X2,X4,X3)), % 2.90/0.75 bind(X15, c_0), % 2.90/0.75 bind(X16, v_ca), % 2.90/0.75 bind(X17, t_b), % 2.90/0.75 bind(X18, t_b), % 2.90/0.75 bind(X19, t_b), % 2.90/0.75 bind(X20, v_xa), % 2.90/0.75 bind(X21, t_b) % 2.90/0.75 ], % 2.90/0.75 [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])). % 2.90/0.75 % 2.90/0.75 % SZS output end IncompleteProof %------------------------------------------------------------------------------