%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA038-2 : 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 19:08:47 EDT 2022 % Result : Unsatisfiable 0.13s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ANA038-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Fri Jul 8 05:32:25 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.35 % SZS status Unsatisfiable % 0.13/0.35 % SZS output begin IncompleteProof % 0.13/0.35 cnf(c0, axiom, % 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b)). % 0.13/0.35 cnf(c1, plain, % 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b), % 0.13/0.35 inference(start, [], [c0])). % 0.13/0.35 % 0.13/0.35 cnf(c2, axiom, % 0.13/0.35 class_Ring__and__Field_Opordered__semiring(X0) | ~class_Ring__and__Field_Oordered__idom(X0)). % 0.13/0.35 cnf(a0, assumption, % 0.13/0.35 t_b = X0). % 0.13/0.35 cnf(c3, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.35 cnf(c4, plain, % 0.13/0.35 class_Ring__and__Field_Opordered__semiring(X0), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.35 % 0.13/0.35 cnf(c5, axiom, % 0.13/0.35 c_lessequals(c_times(X1,X2,X3),c_times(X4,X2,X3),X3) | ~c_lessequals(c_0,X2,X3) | ~c_lessequals(X1,X4,X3) | ~class_Ring__and__Field_Opordered__semiring(X3)). % 0.13/0.35 cnf(a1, assumption, % 0.13/0.35 X0 = X3). % 0.13/0.35 cnf(c6, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.35 cnf(c7, plain, % 0.13/0.35 c_lessequals(c_times(X1,X2,X3),c_times(X4,X2,X3),X3) | ~c_lessequals(c_0,X2,X3) | ~c_lessequals(X1,X4,X3), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.35 % 0.13/0.35 cnf(c8, axiom, % 0.13/0.35 c_lessequals(X5,X6,X7) | ~c_lessequals(X5,X8,X7) | ~c_lessequals(X8,X6,X7) | ~class_Orderings_Oorder(X7)). % 0.13/0.35 cnf(a2, assumption, % 0.13/0.35 c_times(X1,X2,X3) = X8). % 0.13/0.35 cnf(a3, assumption, % 0.13/0.35 c_times(X4,X2,X3) = X6). % 0.13/0.35 cnf(a4, assumption, % 0.13/0.35 X3 = X7). % 0.13/0.35 cnf(c9, plain, % 0.13/0.35 ~c_lessequals(c_0,X2,X3) | ~c_lessequals(X1,X4,X3), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c7, c8])). % 0.13/0.35 cnf(c10, plain, % 0.13/0.35 c_lessequals(X5,X6,X7) | ~c_lessequals(X5,X8,X7) | ~class_Orderings_Oorder(X7), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c7, c8])). % 0.13/0.35 % 0.13/0.35 cnf(c11, axiom, % 0.13/0.35 ~c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b)). % 0.13/0.35 cnf(a5, assumption, % 0.13/0.35 X5 = c_HOL_Oabs(v_b(v_xa),t_b)). % 0.13/0.35 cnf(a6, assumption, % 0.13/0.35 X6 = c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b)). % 0.13/0.35 cnf(a7, assumption, % 0.13/0.35 X7 = t_b). % 0.13/0.35 cnf(c12, plain, % 0.13/0.35 ~c_lessequals(X5,X8,X7) | ~class_Orderings_Oorder(X7), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])). % 0.13/0.35 cnf(c13, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c10, c11])). % 0.13/0.35 % 0.13/0.35 cnf(c14, axiom, % 0.13/0.35 c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b)). % 0.13/0.35 cnf(a8, assumption, % 0.13/0.35 X5 = c_HOL_Oabs(v_b(v_xa),t_b)). % 0.13/0.35 cnf(a9, assumption, % 0.13/0.35 X8 = c_times(v_ca,v_g(v_xa),t_b)). % 0.13/0.35 cnf(a10, assumption, % 0.13/0.35 X7 = t_b). % 0.13/0.35 cnf(c15, plain, % 0.13/0.35 ~class_Orderings_Oorder(X7), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c14])). % 0.13/0.35 cnf(c16, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c12, c14])). % 0.13/0.35 % 0.13/0.35 cnf(c17, axiom, % 0.13/0.35 class_Orderings_Oorder(X9) | ~class_Ring__and__Field_Oordered__idom(X9)). % 0.13/0.35 cnf(a11, assumption, % 0.13/0.35 X7 = X9). % 0.13/0.35 cnf(c18, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a11])], [c15, c17])). % 0.13/0.35 cnf(c19, plain, % 0.13/0.35 ~class_Ring__and__Field_Oordered__idom(X9), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a11])], [c15, c17])). % 0.13/0.35 % 0.13/0.35 cnf(c20, plain, % 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b)). % 0.13/0.35 cnf(a12, assumption, % 0.13/0.35 X9 = t_b). % 0.13/0.35 cnf(c21, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(predicate_reduction, [assumptions([a12])], [c19, c20])). % 0.13/0.35 % 0.13/0.35 cnf(c22, axiom, % 0.13/0.35 c_lessequals(c_0,v_g(v_xa),t_b)). % 0.13/0.35 cnf(a13, assumption, % 0.13/0.35 c_0 = c_0). % 0.13/0.35 cnf(a14, assumption, % 0.13/0.35 X2 = v_g(v_xa)). % 0.13/0.35 cnf(a15, assumption, % 0.13/0.35 X3 = t_b). % 0.13/0.35 cnf(c23, plain, % 0.13/0.35 ~c_lessequals(X1,X4,X3), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c9, c22])). % 0.13/0.35 cnf(c24, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c9, c22])). % 0.13/0.35 % 0.13/0.35 cnf(c25, axiom, % 0.13/0.35 c_lessequals(X10,c_Orderings_Omax(X11,X10,X12),X12) | ~class_Orderings_Olinorder(X12)). % 0.13/0.35 cnf(a16, assumption, % 0.13/0.35 X1 = X10). % 0.13/0.35 cnf(a17, assumption, % 0.13/0.35 X4 = c_Orderings_Omax(X11,X10,X12)). % 0.13/0.35 cnf(a18, assumption, % 0.13/0.35 X3 = X12). % 0.13/0.35 cnf(c26, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c23, c25])). % 0.13/0.35 cnf(c27, plain, % 0.13/0.35 ~class_Orderings_Olinorder(X12), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c23, c25])). % 0.13/0.35 % 0.13/0.35 cnf(c28, axiom, % 0.13/0.35 class_Orderings_Olinorder(X13) | ~class_Ring__and__Field_Oordered__idom(X13)). % 0.13/0.35 cnf(a19, assumption, % 0.13/0.35 X12 = X13). % 0.13/0.35 cnf(c29, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a19])], [c27, c28])). % 0.13/0.35 cnf(c30, plain, % 0.13/0.35 ~class_Ring__and__Field_Oordered__idom(X13), % 0.13/0.35 inference(strict_predicate_extension, [assumptions([a19])], [c27, c28])). % 0.13/0.35 % 0.13/0.35 cnf(c31, plain, % 0.13/0.35 class_Ring__and__Field_Oordered__idom(t_b)). % 0.13/0.35 cnf(a20, assumption, % 0.13/0.35 X13 = t_b). % 0.13/0.35 cnf(c32, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(predicate_reduction, [assumptions([a20])], [c30, c31])). % 0.13/0.35 % 0.13/0.35 cnf(c33, plain, % 0.13/0.35 $false, % 0.13/0.35 inference(constraint_solving, [ % 0.13/0.35 bind(X0, t_b), % 0.13/0.35 bind(X1, v_ca), % 0.13/0.35 bind(X2, v_g(v_xa)), % 0.13/0.35 bind(X3, t_b), % 0.13/0.35 bind(X4, c_Orderings_Omax(v_c,v_ca,t_b)), % 0.13/0.35 bind(X5, c_HOL_Oabs(v_b(v_xa),t_b)), % 0.13/0.35 bind(X6, c_times(X4,X2,X3)), % 0.13/0.35 bind(X7, t_b), % 0.13/0.35 bind(X8, c_times(X1,X2,X3)), % 0.13/0.35 bind(X9, t_b), % 0.13/0.35 bind(X10, v_ca), % 0.13/0.35 bind(X11, v_c), % 0.13/0.35 bind(X12, t_b), % 0.13/0.35 bind(X13, t_b) % 0.13/0.35 ], % 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 0.13/0.35 % 0.13/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------