%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA025-2 : 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 : n027.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 19:08:39 EDT 2022 % Result : Unsatisfiable 0.12s 0.37s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n027.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Fri Jul 8 06:52:00 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.37 % SZS status Unsatisfiable % 0.12/0.37 % SZS output begin IncompleteProof % 0.12/0.37 cnf(c0, axiom, % 0.12/0.37 class_Ring__and__Field_Oordered__idom(t_b)). % 0.12/0.37 cnf(c1, plain, % 0.12/0.37 class_Ring__and__Field_Oordered__idom(t_b), % 0.12/0.37 inference(start, [], [c0])). % 0.12/0.37 % 0.12/0.37 cnf(c2, axiom, % 0.12/0.37 class_OrderedGroup_Olordered__ab__group__abs(X0) | ~class_Ring__and__Field_Oordered__idom(X0)). % 0.12/0.37 cnf(a0, assumption, % 0.12/0.37 t_b = X0). % 0.12/0.37 cnf(c3, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.37 cnf(c4, plain, % 0.12/0.37 class_OrderedGroup_Olordered__ab__group__abs(X0), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.12/0.37 % 0.12/0.37 cnf(c5, axiom, % 0.12/0.37 class_LOrder_Ojoin__semilorder(X1) | ~class_OrderedGroup_Olordered__ab__group__abs(X1)). % 0.12/0.37 cnf(a1, assumption, % 0.12/0.37 X0 = X1). % 0.12/0.37 cnf(c6, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.12/0.37 cnf(c7, plain, % 0.12/0.37 class_LOrder_Ojoin__semilorder(X1), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.12/0.37 % 0.12/0.37 cnf(c8, axiom, % 0.12/0.37 class_Orderings_Oorder(X2) | ~class_LOrder_Ojoin__semilorder(X2)). % 0.12/0.37 cnf(a2, assumption, % 0.12/0.37 X1 = X2). % 0.12/0.37 cnf(c9, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.12/0.37 cnf(c10, plain, % 0.12/0.37 class_Orderings_Oorder(X2), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 0.12/0.37 % 0.12/0.37 cnf(c11, axiom, % 0.12/0.37 c_lessequals(X3,X4,X5) | ~c_less(X3,X4,X5) | ~class_Orderings_Oorder(X5)). % 0.12/0.37 cnf(a3, assumption, % 0.12/0.37 X2 = X5). % 0.12/0.37 cnf(c12, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.12/0.37 cnf(c13, plain, % 0.12/0.37 c_lessequals(X3,X4,X5) | ~c_less(X3,X4,X5), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 0.12/0.37 % 0.12/0.37 cnf(c14, axiom, % 0.12/0.37 ~c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)). % 0.12/0.37 cnf(a4, assumption, % 0.12/0.37 X3 = c_0). % 0.12/0.37 cnf(a5, assumption, % 0.12/0.37 X4 = c_minus(v_k(v_x),v_g(v_x),t_b)). % 0.12/0.37 cnf(a6, assumption, % 0.12/0.37 X5 = t_b). % 0.12/0.37 cnf(c15, plain, % 0.12/0.37 ~c_less(X3,X4,X5), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c13, c14])). % 0.12/0.37 cnf(c16, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c13, c14])). % 0.12/0.37 % 0.12/0.37 cnf(c17, axiom, % 0.12/0.37 c_lessequals(X6,X7,X8) | c_less(X7,X6,X8) | ~class_Orderings_Olinorder(X8)). % 0.12/0.37 cnf(a7, assumption, % 0.12/0.37 X3 = X7). % 0.12/0.37 cnf(a8, assumption, % 0.12/0.37 X4 = X6). % 0.12/0.37 cnf(a9, assumption, % 0.12/0.37 X5 = X8). % 0.12/0.37 cnf(c18, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c15, c17])). % 0.12/0.37 cnf(c19, plain, % 0.12/0.37 c_lessequals(X6,X7,X8) | ~class_Orderings_Olinorder(X8), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c15, c17])). % 0.12/0.37 % 0.12/0.37 cnf(c20, axiom, % 0.12/0.37 c_lessequals(X9,X10,X11) | ~c_lessequals(X9,X12,X11) | ~c_lessequals(X12,X10,X11) | ~class_Orderings_Oorder(X11)). % 0.12/0.37 cnf(a10, assumption, % 0.12/0.37 X6 = X9). % 0.12/0.37 cnf(a11, assumption, % 0.12/0.37 X7 = X12). % 0.12/0.37 cnf(a12, assumption, % 0.12/0.37 X8 = X11). % 0.12/0.37 cnf(c21, plain, % 0.12/0.37 ~class_Orderings_Olinorder(X8), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c19, c20])). % 0.12/0.37 cnf(c22, plain, % 0.12/0.37 c_lessequals(X9,X10,X11) | ~c_lessequals(X12,X10,X11) | ~class_Orderings_Oorder(X11), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c19, c20])). % 0.12/0.37 % 0.12/0.37 cnf(c23, axiom, % 0.12/0.37 c_lessequals(c_Orderings_Omax(X13,X14,X15),X16,X15) | ~c_lessequals(X13,X16,X15) | ~c_lessequals(X14,X16,X15) | ~class_Orderings_Olinorder(X15)). % 0.12/0.37 cnf(a13, assumption, % 0.12/0.37 X9 = X13). % 0.12/0.37 cnf(a14, assumption, % 0.12/0.37 X10 = X16). % 0.12/0.37 cnf(a15, assumption, % 0.12/0.37 X11 = X15). % 0.12/0.37 cnf(c24, plain, % 0.12/0.37 ~c_lessequals(X12,X10,X11) | ~class_Orderings_Oorder(X11), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c22, c23])). % 0.12/0.37 cnf(c25, plain, % 0.12/0.37 c_lessequals(c_Orderings_Omax(X13,X14,X15),X16,X15) | ~c_lessequals(X14,X16,X15) | ~class_Orderings_Olinorder(X15), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c22, c23])). % 0.12/0.37 % 0.12/0.37 cnf(c26, axiom, % 0.12/0.37 ~c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)). % 0.12/0.37 cnf(a16, assumption, % 0.12/0.37 c_Orderings_Omax(X13,X14,X15) = c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b)). % 0.12/0.37 cnf(a17, assumption, % 0.12/0.37 X16 = c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)). % 0.12/0.37 cnf(a18, assumption, % 0.12/0.37 X15 = t_b). % 0.12/0.37 cnf(c27, plain, % 0.12/0.37 ~c_lessequals(X14,X16,X15) | ~class_Orderings_Olinorder(X15), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c25, c26])). % 0.12/0.37 cnf(c28, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c25, c26])). % 0.12/0.37 % 0.12/0.37 cnf(c29, axiom, % 0.12/0.37 c_lessequals(c_0,c_HOL_Oabs(X17,X18),X18) | ~class_OrderedGroup_Olordered__ab__group__abs(X18)). % 0.12/0.37 cnf(a19, assumption, % 0.12/0.37 X14 = c_0). % 0.12/0.37 cnf(a20, assumption, % 0.12/0.37 X16 = c_HOL_Oabs(X17,X18)). % 0.12/0.37 cnf(a21, assumption, % 0.12/0.37 X15 = X18). % 0.12/0.37 cnf(c30, plain, % 0.12/0.37 ~class_Orderings_Olinorder(X15), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c27, c29])). % 0.12/0.37 cnf(c31, plain, % 0.12/0.37 ~class_OrderedGroup_Olordered__ab__group__abs(X18), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c27, c29])). % 0.12/0.37 % 0.12/0.37 cnf(c32, plain, % 0.12/0.37 class_OrderedGroup_Olordered__ab__group__abs(X0)). % 0.12/0.37 cnf(a22, assumption, % 0.12/0.37 X18 = X0). % 0.12/0.37 cnf(c33, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(predicate_reduction, [assumptions([a22])], [c31, c32])). % 0.12/0.37 % 0.12/0.37 cnf(c34, axiom, % 0.12/0.37 class_Orderings_Olinorder(X19) | ~class_Ring__and__Field_Oordered__idom(X19)). % 0.12/0.37 cnf(a23, assumption, % 0.12/0.37 X15 = X19). % 0.12/0.37 cnf(c35, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a23])], [c30, c34])). % 0.12/0.37 cnf(c36, plain, % 0.12/0.37 ~class_Ring__and__Field_Oordered__idom(X19), % 0.12/0.37 inference(strict_predicate_extension, [assumptions([a23])], [c30, c34])). % 0.12/0.37 % 0.12/0.37 cnf(c37, plain, % 0.12/0.37 class_Ring__and__Field_Oordered__idom(t_b)). % 0.12/0.37 cnf(a24, assumption, % 0.12/0.37 X19 = t_b). % 0.12/0.37 cnf(c38, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(predicate_reduction, [assumptions([a24])], [c36, c37])). % 0.12/0.37 % 0.12/0.37 cnf(c39, plain, % 0.12/0.37 c_lessequals(X14,X16,X15)). % 0.12/0.37 cnf(a25, assumption, % 0.12/0.37 X12 = X14). % 0.12/0.37 cnf(a26, assumption, % 0.12/0.37 X10 = X16). % 0.12/0.37 cnf(a27, assumption, % 0.12/0.37 X11 = X15). % 0.12/0.37 cnf(c40, plain, % 0.12/0.37 ~class_Orderings_Oorder(X11), % 0.12/0.37 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c24, c39])). % 0.12/0.37 % 0.12/0.37 cnf(c41, plain, % 0.12/0.37 class_Orderings_Oorder(X2)). % 0.12/0.37 cnf(a28, assumption, % 0.12/0.37 X11 = X2). % 0.12/0.37 cnf(c42, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(predicate_reduction, [assumptions([a28])], [c40, c41])). % 0.12/0.37 % 0.12/0.37 cnf(c43, plain, % 0.12/0.37 class_Orderings_Olinorder(X15)). % 0.12/0.37 cnf(a29, assumption, % 0.12/0.37 X8 = X15). % 0.12/0.37 cnf(c44, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(predicate_reduction, [assumptions([a29])], [c21, c43])). % 0.12/0.37 % 0.12/0.37 cnf(c45, plain, % 0.12/0.37 $false, % 0.12/0.37 inference(constraint_solving, [ % 0.12/0.37 bind(X0, t_b), % 0.12/0.37 bind(X1, t_b), % 0.12/0.37 bind(X2, t_b), % 0.12/0.37 bind(X3, c_0), % 0.12/0.37 bind(X4, c_minus(v_k(v_x),v_g(v_x),t_b)), % 0.12/0.37 bind(X5, t_b), % 0.12/0.37 bind(X6, c_minus(v_k(v_x),v_g(v_x),t_b)), % 0.12/0.37 bind(X7, c_0), % 0.12/0.37 bind(X8, t_b), % 0.12/0.37 bind(X9, c_minus(v_k(v_x),v_g(v_x),t_b)), % 0.12/0.37 bind(X10, c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)), % 0.12/0.37 bind(X11, t_b), % 0.12/0.37 bind(X12, c_0), % 0.12/0.37 bind(X13, c_minus(v_k(v_x),v_g(v_x),t_b)), % 0.12/0.37 bind(X14, c_0), % 0.12/0.37 bind(X15, t_b), % 0.12/0.37 bind(X16, c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b)), % 0.12/0.37 bind(X17, c_minus(v_f(v_x),v_g(v_x),t_b)), % 0.12/0.37 bind(X18, t_b), % 0.12/0.37 bind(X19, t_b) % 0.12/0.37 ], % 0.12/0.37 [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])). % 0.12/0.37 % 0.12/0.37 % SZS output end IncompleteProof %------------------------------------------------------------------------------