%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ANA012-2 : 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 : n003.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 19:08:29 EDT 2022 % Result : Unsatisfiable 0.13s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : ANA012-2 : 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 % 0.13/0.34 % Computer : n003.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 03:40:12 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.36 % SZS status Unsatisfiable % 0.13/0.36 % SZS output begin IncompleteProof % 0.13/0.36 cnf(c0, axiom, % 0.13/0.36 class_Ring__and__Field_Oordered__field(t_a)). % 0.13/0.36 cnf(c1, plain, % 0.13/0.36 class_Ring__and__Field_Oordered__field(t_a), % 0.13/0.36 inference(start, [], [c0])). % 0.13/0.36 % 0.13/0.36 cnf(c2, axiom, % 0.13/0.36 class_Ring__and__Field_Ofield(X0) | ~class_Ring__and__Field_Oordered__field(X0)). % 0.13/0.36 cnf(a0, assumption, % 0.13/0.36 t_a = X0). % 0.13/0.36 cnf(c3, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.36 cnf(c4, plain, % 0.13/0.36 class_Ring__and__Field_Ofield(X0), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.36 % 0.13/0.36 cnf(c5, axiom, % 0.13/0.36 c_1 = c_times(c_HOL_Oinverse(X1,X2),X1,X2) | c_0 = X1 | ~class_Ring__and__Field_Ofield(X2)). % 0.13/0.36 cnf(a1, assumption, % 0.13/0.36 X0 = X2). % 0.13/0.36 cnf(c6, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.36 cnf(c7, plain, % 0.13/0.36 c_1 = c_times(c_HOL_Oinverse(X1,X2),X1,X2) | c_0 = X1, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 0.13/0.36 % 0.13/0.36 cnf(c8, axiom, % 0.13/0.36 ~c_lessequals(c_1,c_times(X3,c_HOL_Oabs(v_c,t_a),t_a),t_a)). % 0.13/0.36 cnf(a2, assumption, % 0.13/0.36 c_times(X3,c_HOL_Oabs(v_c,t_a),t_a) = c_times(c_HOL_Oinverse(X1,X2),X1,X2)). % 0.13/0.36 cnf(a3, assumption, % 0.13/0.36 c_1 = X4). % 0.13/0.36 cnf(c9, plain, % 0.13/0.36 c_0 = X1, % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 0.13/0.36 cnf(c10, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 0.13/0.36 cnf(c11, plain, % 0.13/0.36 ~c_lessequals(c_1,X4,t_a), % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a2, a3])], [c7, c8])). % 0.13/0.36 % 0.13/0.36 cnf(c12, axiom, % 0.13/0.36 c_lessequals(X5,X5,X6) | ~class_Orderings_Oorder(X6)). % 0.13/0.36 cnf(a4, assumption, % 0.13/0.36 c_1 = X5). % 0.13/0.36 cnf(a5, assumption, % 0.13/0.36 X4 = X5). % 0.13/0.36 cnf(a6, assumption, % 0.13/0.36 t_a = X6). % 0.13/0.36 cnf(c13, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 0.13/0.36 cnf(c14, plain, % 0.13/0.36 ~class_Orderings_Oorder(X6), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c11, c12])). % 0.13/0.36 % 0.13/0.36 cnf(c15, axiom, % 0.13/0.36 class_Orderings_Oorder(X7) | ~class_Ring__and__Field_Oordered__field(X7)). % 0.13/0.36 cnf(a7, assumption, % 0.13/0.36 X6 = X7). % 0.13/0.36 cnf(c16, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a7])], [c14, c15])). % 0.13/0.36 cnf(c17, plain, % 0.13/0.36 ~class_Ring__and__Field_Oordered__field(X7), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a7])], [c14, c15])). % 0.13/0.36 % 0.13/0.36 cnf(c18, plain, % 0.13/0.36 class_Ring__and__Field_Oordered__field(t_a)). % 0.13/0.36 cnf(a8, assumption, % 0.13/0.36 X7 = t_a). % 0.13/0.36 cnf(c19, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(predicate_reduction, [assumptions([a8])], [c17, c18])). % 0.13/0.36 % 0.13/0.36 cnf(c20, axiom, % 0.13/0.36 c_0 = X8 | c_0 != c_HOL_Oabs(X8,X9) | ~class_OrderedGroup_Olordered__ab__group__abs(X9)). % 0.13/0.36 cnf(a9, assumption, % 0.13/0.36 c_HOL_Oabs(X8,X9) = X1). % 0.13/0.36 cnf(a10, assumption, % 0.13/0.36 c_0 = X10). % 0.13/0.36 cnf(c21, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a9, a10])], [c9, c20])). % 0.13/0.36 cnf(c22, plain, % 0.13/0.36 c_0 = X8 | ~class_OrderedGroup_Olordered__ab__group__abs(X9), % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a9, a10])], [c9, c20])). % 0.13/0.36 cnf(c23, plain, % 0.13/0.36 c_0 != X10, % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a9, a10])], [c9, c20])). % 0.13/0.36 % 0.13/0.36 cnf(a11, assumption, % 0.13/0.36 c_0 = X10). % 0.13/0.36 cnf(c24, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(reflexivity, [assumptions([a11])], [c23])). % 0.13/0.36 % 0.13/0.36 cnf(c25, axiom, % 0.13/0.36 v_c != c_0). % 0.13/0.36 cnf(a12, assumption, % 0.13/0.36 c_0 = c_0). % 0.13/0.36 cnf(c26, plain, % 0.13/0.36 ~class_OrderedGroup_Olordered__ab__group__abs(X9), % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a12])], [c22, c25])). % 0.13/0.36 cnf(c27, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a12])], [c22, c25])). % 0.13/0.36 cnf(c28, plain, % 0.13/0.36 v_c != X8, % 0.13/0.36 inference(strict_subterm_extension, [assumptions([a12])], [c22, c25])). % 0.13/0.36 % 0.13/0.36 cnf(a13, assumption, % 0.13/0.36 v_c = X8). % 0.13/0.36 cnf(c29, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(reflexivity, [assumptions([a13])], [c28])). % 0.13/0.36 % 0.13/0.36 cnf(c30, axiom, % 0.13/0.36 class_OrderedGroup_Olordered__ab__group__abs(X11) | ~class_Ring__and__Field_Oordered__field(X11)). % 0.13/0.36 cnf(a14, assumption, % 0.13/0.36 X9 = X11). % 0.13/0.36 cnf(c31, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a14])], [c26, c30])). % 0.13/0.36 cnf(c32, plain, % 0.13/0.36 ~class_Ring__and__Field_Oordered__field(X11), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a14])], [c26, c30])). % 0.13/0.36 % 0.13/0.36 cnf(c33, plain, % 0.13/0.36 class_Ring__and__Field_Oordered__field(t_a)). % 0.13/0.36 cnf(a15, assumption, % 0.13/0.36 X11 = t_a). % 0.13/0.36 cnf(c34, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(predicate_reduction, [assumptions([a15])], [c32, c33])). % 0.13/0.36 % 0.13/0.36 cnf(c35, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(constraint_solving, [ % 0.13/0.36 bind(X0, t_a), % 0.13/0.36 bind(X1, c_HOL_Oabs(v_c,t_a)), % 0.13/0.36 bind(X2, t_a), % 0.13/0.36 bind(X3, c_HOL_Oinverse(X1,X2)), % 0.13/0.36 bind(X4, c_1), % 0.13/0.36 bind(X5, c_1), % 0.13/0.36 bind(X6, t_a), % 0.13/0.36 bind(X7, t_a), % 0.13/0.36 bind(X8, v_c), % 0.13/0.36 bind(X9, t_a), % 0.13/0.36 bind(X10, c_0), % 0.13/0.36 bind(X11, t_a) % 0.13/0.36 ], % 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 0.13/0.36 % 0.13/0.36 % SZS output end IncompleteProof 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