%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA016-2 : 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 : n009.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 19:08:32 EDT 2022 % Result : Unsatisfiable 6.02s 1.11s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n009.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 02:41:07 EDT 2022 % 0.12/0.34 % CPUTime : % 6.02/1.11 % SZS status Unsatisfiable % 6.02/1.11 % SZS output begin IncompleteProof % 6.02/1.11 cnf(c0, axiom, % 6.02/1.11 v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a)). % 6.02/1.11 cnf(c1, plain, % 6.02/1.11 v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a), % 6.02/1.11 inference(start, [], [c0])). % 6.02/1.11 % 6.02/1.11 cnf(c2, axiom, % 6.02/1.11 c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) | ~class_OrderedGroup_Osemigroup__mult(X2)). % 6.02/1.11 cnf(a0, assumption, % 6.02/1.11 c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a) = c_times(X0,c_times(X1,X3,X2),X2)). % 6.02/1.11 cnf(c3, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 6.02/1.11 cnf(c4, plain, % 6.02/1.11 ~class_OrderedGroup_Osemigroup__mult(X2), % 6.02/1.11 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 6.02/1.11 cnf(c5, plain, % 6.02/1.11 X4 != c_times(c_times(X0,X1,X2),X3,X2) | v_g(v_x) != X4, % 6.02/1.11 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 6.02/1.11 % 6.02/1.11 cnf(c6, axiom, % 6.02/1.11 c_1 = c_times(X5,c_HOL_Oinverse(X5,X6),X6) | c_0 = X5 | ~class_Ring__and__Field_Ofield(X6)). % 6.02/1.11 cnf(a1, assumption, % 6.02/1.11 c_times(X0,X1,X2) = c_times(X5,c_HOL_Oinverse(X5,X6),X6)). % 6.02/1.11 cnf(c7, plain, % 6.02/1.11 v_g(v_x) != X4, % 6.02/1.11 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 6.02/1.11 cnf(c8, plain, % 6.02/1.11 c_0 = X5 | ~class_Ring__and__Field_Ofield(X6), % 6.02/1.11 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 6.02/1.11 cnf(c9, plain, % 6.02/1.11 X7 != c_1 | X4 != c_times(X7,X3,X2), % 6.02/1.11 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 6.02/1.11 % 6.02/1.11 cnf(a2, assumption, % 6.02/1.11 X7 = c_1). % 6.02/1.11 cnf(c10, plain, % 6.02/1.11 X4 != c_times(X7,X3,X2), % 6.02/1.11 inference(reflexivity, [assumptions([a2])], [c9])). % 6.02/1.11 % 6.02/1.11 cnf(c11, axiom, % 6.02/1.11 c_times(c_1,X8,X9) = X8 | ~class_OrderedGroup_Omonoid__mult(X9)). % 6.02/1.11 cnf(a3, assumption, % 6.02/1.11 c_times(X7,X3,X2) = c_times(c_1,X8,X9)). % 6.02/1.11 cnf(c12, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 6.02/1.11 cnf(c13, plain, % 6.02/1.11 ~class_OrderedGroup_Omonoid__mult(X9), % 6.02/1.11 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 6.02/1.11 cnf(c14, plain, % 6.02/1.11 X10 != X8 | X4 != X10, % 6.02/1.11 inference(strict_function_extension, [assumptions([a3])], [c10, c11])). % 6.02/1.11 % 6.02/1.11 cnf(a4, assumption, % 6.02/1.11 X10 = X8). % 6.02/1.11 cnf(c15, plain, % 6.02/1.11 X4 != X10, % 6.02/1.11 inference(reflexivity, [assumptions([a4])], [c14])). % 6.02/1.11 % 6.02/1.11 cnf(a5, assumption, % 6.02/1.11 X4 = X10). % 6.02/1.11 cnf(c16, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(reflexivity, [assumptions([a5])], [c15])). % 6.02/1.11 % 6.02/1.11 cnf(c17, axiom, % 6.02/1.11 class_OrderedGroup_Omonoid__mult(X11) | ~class_Ring__and__Field_Ofield(X11)). % 6.02/1.11 cnf(a6, assumption, % 6.02/1.11 X9 = X11). % 6.02/1.11 cnf(c18, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(strict_predicate_extension, [assumptions([a6])], [c13, c17])). % 6.02/1.11 cnf(c19, plain, % 6.02/1.11 ~class_Ring__and__Field_Ofield(X11), % 6.02/1.11 inference(strict_predicate_extension, [assumptions([a6])], [c13, c17])). % 6.02/1.11 % 6.02/1.11 cnf(c20, axiom, % 6.02/1.11 class_Ring__and__Field_Ofield(X12) | ~class_Ring__and__Field_Oordered__field(X12)). % 6.02/1.11 cnf(a7, assumption, % 6.02/1.11 X11 = X12). % 6.02/1.11 cnf(c21, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(strict_predicate_extension, [assumptions([a7])], [c19, c20])). % 6.02/1.11 cnf(c22, plain, % 6.02/1.11 ~class_Ring__and__Field_Oordered__field(X12), % 6.02/1.11 inference(strict_predicate_extension, [assumptions([a7])], [c19, c20])). % 6.02/1.11 % 6.02/1.11 cnf(c23, axiom, % 6.02/1.11 class_Ring__and__Field_Oordered__field(t_a)). % 6.02/1.11 cnf(a8, assumption, % 6.02/1.11 X12 = t_a). % 6.02/1.11 cnf(c24, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(strict_predicate_extension, [assumptions([a8])], [c22, c23])). % 6.02/1.11 cnf(c25, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(strict_predicate_extension, [assumptions([a8])], [c22, c23])). % 6.02/1.11 % 6.02/1.11 cnf(c26, axiom, % 6.02/1.11 v_c != c_0). % 6.02/1.11 cnf(a9, assumption, % 6.02/1.11 c_0 = c_0). % 6.02/1.11 cnf(c27, plain, % 6.02/1.11 ~class_Ring__and__Field_Ofield(X6), % 6.02/1.11 inference(strict_subterm_extension, [assumptions([a9])], [c8, c26])). % 6.02/1.11 cnf(c28, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(strict_subterm_extension, [assumptions([a9])], [c8, c26])). % 6.02/1.11 cnf(c29, plain, % 6.02/1.11 v_c != X5, % 6.02/1.11 inference(strict_subterm_extension, [assumptions([a9])], [c8, c26])). % 6.02/1.11 % 6.02/1.11 cnf(a10, assumption, % 6.02/1.11 v_c = X5). % 6.02/1.11 cnf(c30, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(reflexivity, [assumptions([a10])], [c29])). % 6.02/1.11 % 6.02/1.11 cnf(c31, plain, % 6.02/1.11 class_Ring__and__Field_Ofield(X11)). % 6.02/1.11 cnf(a11, assumption, % 6.02/1.11 X6 = X11). % 6.02/1.11 cnf(c32, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(predicate_reduction, [assumptions([a11])], [c27, c31])). % 6.02/1.11 % 6.02/1.11 cnf(a12, assumption, % 6.02/1.11 v_g(v_x) = X4). % 6.02/1.11 cnf(c33, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(reflexivity, [assumptions([a12])], [c7])). % 6.02/1.11 % 6.02/1.11 cnf(c34, axiom, % 6.02/1.11 class_OrderedGroup_Osemigroup__mult(X13) | ~class_Ring__and__Field_Ofield(X13)). % 6.02/1.11 cnf(a13, assumption, % 6.02/1.11 X2 = X13). % 6.02/1.11 cnf(c35, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(strict_predicate_extension, [assumptions([a13])], [c4, c34])). % 6.02/1.11 cnf(c36, plain, % 6.02/1.11 ~class_Ring__and__Field_Ofield(X13), % 6.02/1.11 inference(strict_predicate_extension, [assumptions([a13])], [c4, c34])). % 6.02/1.11 % 6.02/1.11 cnf(c37, plain, % 6.02/1.11 class_Ring__and__Field_Ofield(X11)). % 6.02/1.11 cnf(a14, assumption, % 6.02/1.11 X13 = X11). % 6.02/1.11 cnf(c38, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(predicate_reduction, [assumptions([a14])], [c36, c37])). % 6.02/1.11 % 6.02/1.11 cnf(c39, plain, % 6.02/1.11 $false, % 6.02/1.11 inference(constraint_solving, [ % 6.02/1.11 bind(X0, v_c), % 6.02/1.11 bind(X1, c_HOL_Oinverse(v_c,t_a)), % 6.02/1.11 bind(X2, t_a), % 6.02/1.11 bind(X3, v_g(v_x)), % 6.02/1.11 bind(X4, v_g(v_x)), % 6.02/1.11 bind(X5, v_c), % 6.02/1.11 bind(X6, t_a), % 6.02/1.11 bind(X7, c_1), % 6.02/1.11 bind(X8, v_g(v_x)), % 6.02/1.11 bind(X9, t_a), % 6.02/1.11 bind(X10, v_g(v_x)), % 6.02/1.11 bind(X11, t_a), % 6.02/1.11 bind(X12, t_a), % 6.02/1.11 bind(X13, t_a) % 6.02/1.11 ], % 6.02/1.11 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 6.02/1.11 % 6.02/1.11 % SZS output end IncompleteProof %------------------------------------------------------------------------------