TSTP Solution File: NUM343+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n025.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 : Mon Jul 18 09:40:18 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n025.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 : Wed Jul 6 06:51:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.40 # No SInE strategy applied
% 0.18/0.40 # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 0.18/0.40 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.18/0.40 #
% 0.18/0.40 # Presaturation interreduction done
% 0.18/0.40 # Number of axioms: 409 Number of unprocessed: 409
% 0.18/0.40 # Tableaux proof search.
% 0.18/0.40 # APR header successfully linked.
% 0.18/0.40 # Hello from C++
% 0.18/0.41 # The folding up rule is enabled...
% 0.18/0.41 # Local unification is enabled...
% 0.18/0.41 # Any saturation attempts will use folding labels...
% 0.18/0.41 # 409 beginning clauses after preprocessing and clausification
% 0.18/0.41 # Creating start rules for all 3 conjectures.
% 0.18/0.41 # There are 3 start rule candidates:
% 0.18/0.41 # Found 379 unit axioms.
% 0.18/0.41 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.18/0.41 # Found closed tableau while making start rule
% 0.18/0.41 # There were 0 total branch saturation attempts.
% 0.18/0.41 # There were 0 of these attempts blocked.
% 0.18/0.41 # There were 0 deferred branch saturation attempts.
% 0.18/0.41 # There were 0 free duplicated saturations.
% 0.18/0.41 # There were 0 total successful branch saturations.
% 0.18/0.41 # There were 0 successful branch saturations in interreduction.
% 0.18/0.41 # There were 0 successful branch saturations on the branch.
% 0.18/0.41 # There were 0 successful branch saturations after the branch.
% 0.18/0.41 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 # Begin clausification derivation
% 0.18/0.41
% 0.18/0.41 # End clausification derivation
% 0.18/0.41 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.41 cnf(i_0_408, negated_conjecture, (less(X1,n1))).
% 0.18/0.41 cnf(i_0_409, negated_conjecture, (less(nn1,X1))).
% 0.18/0.41 cnf(i_0_257, plain, (rdn_non_zero_digit(rdnn(n1)))).
% 0.18/0.41 cnf(i_0_258, plain, (rdn_non_zero_digit(rdnn(n2)))).
% 0.18/0.41 cnf(i_0_287, plain, (less_or_equal(X1,X1))).
% 0.18/0.41 cnf(i_0_259, plain, (rdn_non_zero_digit(rdnn(n3)))).
% 0.18/0.41 cnf(i_0_260, plain, (rdn_non_zero_digit(rdnn(n4)))).
% 0.18/0.41 cnf(i_0_261, plain, (rdn_non_zero_digit(rdnn(n5)))).
% 0.18/0.41 cnf(i_0_262, plain, (rdn_non_zero_digit(rdnn(n6)))).
% 0.18/0.41 cnf(i_0_263, plain, (rdn_non_zero_digit(rdnn(n7)))).
% 0.18/0.41 cnf(i_0_264, plain, (rdn_non_zero_digit(rdnn(n8)))).
% 0.18/0.41 cnf(i_0_265, plain, (rdn_non_zero_digit(rdnn(n9)))).
% 0.18/0.41 cnf(i_0_2, plain, (rdn_translate(n1,rdn_pos(rdnn(n1))))).
% 0.18/0.41 cnf(i_0_129, plain, (rdn_translate(nn1,rdn_neg(rdnn(n1))))).
% 0.18/0.41 cnf(i_0_266, plain, (rdn_positive_less(rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_267, plain, (rdn_positive_less(rdnn(n1),rdnn(n2)))).
% 0.18/0.41 cnf(i_0_268, plain, (rdn_positive_less(rdnn(n2),rdnn(n3)))).
% 0.18/0.41 cnf(i_0_269, plain, (rdn_positive_less(rdnn(n3),rdnn(n4)))).
% 0.18/0.41 cnf(i_0_270, plain, (rdn_positive_less(rdnn(n4),rdnn(n5)))).
% 0.18/0.41 cnf(i_0_271, plain, (rdn_positive_less(rdnn(n5),rdnn(n6)))).
% 0.18/0.41 cnf(i_0_272, plain, (rdn_positive_less(rdnn(n6),rdnn(n7)))).
% 0.18/0.41 cnf(i_0_273, plain, (rdn_positive_less(rdnn(n7),rdnn(n8)))).
% 0.18/0.41 cnf(i_0_274, plain, (rdn_positive_less(rdnn(n8),rdnn(n9)))).
% 0.18/0.41 cnf(i_0_1, plain, (rdn_translate(n0,rdn_pos(rdnn(n0))))).
% 0.18/0.41 cnf(i_0_3, plain, (rdn_translate(n2,rdn_pos(rdnn(n2))))).
% 0.18/0.41 cnf(i_0_4, plain, (rdn_translate(n3,rdn_pos(rdnn(n3))))).
% 0.18/0.41 cnf(i_0_5, plain, (rdn_translate(n4,rdn_pos(rdnn(n4))))).
% 0.18/0.41 cnf(i_0_6, plain, (rdn_translate(n5,rdn_pos(rdnn(n5))))).
% 0.18/0.41 cnf(i_0_7, plain, (rdn_translate(n6,rdn_pos(rdnn(n6))))).
% 0.18/0.41 cnf(i_0_8, plain, (rdn_translate(n7,rdn_pos(rdnn(n7))))).
% 0.18/0.41 cnf(i_0_9, plain, (rdn_translate(n8,rdn_pos(rdnn(n8))))).
% 0.18/0.41 cnf(i_0_10, plain, (rdn_translate(n9,rdn_pos(rdnn(n9))))).
% 0.18/0.41 cnf(i_0_130, plain, (rdn_translate(nn2,rdn_neg(rdnn(n2))))).
% 0.18/0.41 cnf(i_0_131, plain, (rdn_translate(nn3,rdn_neg(rdnn(n3))))).
% 0.18/0.41 cnf(i_0_132, plain, (rdn_translate(nn4,rdn_neg(rdnn(n4))))).
% 0.18/0.41 cnf(i_0_133, plain, (rdn_translate(nn5,rdn_neg(rdnn(n5))))).
% 0.18/0.41 cnf(i_0_134, plain, (rdn_translate(nn6,rdn_neg(rdnn(n6))))).
% 0.18/0.41 cnf(i_0_135, plain, (rdn_translate(nn7,rdn_neg(rdnn(n7))))).
% 0.18/0.41 cnf(i_0_136, plain, (rdn_translate(nn8,rdn_neg(rdnn(n8))))).
% 0.18/0.41 cnf(i_0_137, plain, (rdn_translate(nn9,rdn_neg(rdnn(n9))))).
% 0.18/0.41 cnf(i_0_12, plain, (rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_22, plain, (rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_139, plain, (rdn_translate(nn11,rdn_neg(rdn(rdnn(n1),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_11, plain, (rdn_translate(n10,rdn_pos(rdn(rdnn(n0),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_13, plain, (rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_14, plain, (rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_15, plain, (rdn_translate(n14,rdn_pos(rdn(rdnn(n4),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_16, plain, (rdn_translate(n15,rdn_pos(rdn(rdnn(n5),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_17, plain, (rdn_translate(n16,rdn_pos(rdn(rdnn(n6),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_18, plain, (rdn_translate(n17,rdn_pos(rdn(rdnn(n7),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_19, plain, (rdn_translate(n18,rdn_pos(rdn(rdnn(n8),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_20, plain, (rdn_translate(n19,rdn_pos(rdn(rdnn(n9),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_21, plain, (rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_23, plain, (rdn_translate(n22,rdn_pos(rdn(rdnn(n2),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_24, plain, (rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_32, plain, (rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_42, plain, (rdn_translate(n41,rdn_pos(rdn(rdnn(n1),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_52, plain, (rdn_translate(n51,rdn_pos(rdn(rdnn(n1),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_62, plain, (rdn_translate(n61,rdn_pos(rdn(rdnn(n1),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_72, plain, (rdn_translate(n71,rdn_pos(rdn(rdnn(n1),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_25, plain, (rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_82, plain, (rdn_translate(n81,rdn_pos(rdn(rdnn(n1),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_26, plain, (rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_27, plain, (rdn_translate(n26,rdn_pos(rdn(rdnn(n6),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_28, plain, (rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_29, plain, (rdn_translate(n28,rdn_pos(rdn(rdnn(n8),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_92, plain, (rdn_translate(n91,rdn_pos(rdn(rdnn(n1),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_138, plain, (rdn_translate(nn10,rdn_neg(rdn(rdnn(n0),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_140, plain, (rdn_translate(nn12,rdn_neg(rdn(rdnn(n2),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_141, plain, (rdn_translate(nn13,rdn_neg(rdn(rdnn(n3),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_142, plain, (rdn_translate(nn14,rdn_neg(rdn(rdnn(n4),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_30, plain, (rdn_translate(n29,rdn_pos(rdn(rdnn(n9),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_143, plain, (rdn_translate(nn15,rdn_neg(rdn(rdnn(n5),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_31, plain, (rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_33, plain, (rdn_translate(n32,rdn_pos(rdn(rdnn(n2),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_34, plain, (rdn_translate(n33,rdn_pos(rdn(rdnn(n3),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_35, plain, (rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_144, plain, (rdn_translate(nn16,rdn_neg(rdn(rdnn(n6),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_145, plain, (rdn_translate(nn17,rdn_neg(rdn(rdnn(n7),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_146, plain, (rdn_translate(nn18,rdn_neg(rdn(rdnn(n8),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_147, plain, (rdn_translate(nn19,rdn_neg(rdn(rdnn(n9),rdnn(n1)))))).
% 0.18/0.41 cnf(i_0_149, plain, (rdn_translate(nn21,rdn_neg(rdn(rdnn(n1),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_36, plain, (rdn_translate(n35,rdn_pos(rdn(rdnn(n5),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_159, plain, (rdn_translate(nn31,rdn_neg(rdn(rdnn(n1),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_37, plain, (rdn_translate(n36,rdn_pos(rdn(rdnn(n6),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_38, plain, (rdn_translate(n37,rdn_pos(rdn(rdnn(n7),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_39, plain, (rdn_translate(n38,rdn_pos(rdn(rdnn(n8),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_40, plain, (rdn_translate(n39,rdn_pos(rdn(rdnn(n9),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_169, plain, (rdn_translate(nn41,rdn_neg(rdn(rdnn(n1),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_179, plain, (rdn_translate(nn51,rdn_neg(rdn(rdnn(n1),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_189, plain, (rdn_translate(nn61,rdn_neg(rdn(rdnn(n1),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_199, plain, (rdn_translate(nn71,rdn_neg(rdn(rdnn(n1),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_209, plain, (rdn_translate(nn81,rdn_neg(rdn(rdnn(n1),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_41, plain, (rdn_translate(n40,rdn_pos(rdn(rdnn(n0),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_219, plain, (rdn_translate(nn91,rdn_neg(rdn(rdnn(n1),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_43, plain, (rdn_translate(n42,rdn_pos(rdn(rdnn(n2),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_44, plain, (rdn_translate(n43,rdn_pos(rdn(rdnn(n3),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_45, plain, (rdn_translate(n44,rdn_pos(rdn(rdnn(n4),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_46, plain, (rdn_translate(n45,rdn_pos(rdn(rdnn(n5),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_47, plain, (rdn_translate(n46,rdn_pos(rdn(rdnn(n6),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_308, plain, (rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_317, plain, (rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_318, plain, (rdn_digit_add(rdnn(n1),rdnn(n1),rdnn(n2),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_326, plain, (rdn_digit_add(rdnn(n1),rdnn(n9),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_48, plain, (rdn_translate(n47,rdn_pos(rdn(rdnn(n7),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_49, plain, (rdn_translate(n48,rdn_pos(rdn(rdnn(n8),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_50, plain, (rdn_translate(n49,rdn_pos(rdn(rdnn(n9),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_51, plain, (rdn_translate(n50,rdn_pos(rdn(rdnn(n0),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_53, plain, (rdn_translate(n52,rdn_pos(rdn(rdnn(n2),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_54, plain, (rdn_translate(n53,rdn_pos(rdn(rdnn(n3),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_55, plain, (rdn_translate(n54,rdn_pos(rdn(rdnn(n4),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_336, plain, (rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_345, plain, (rdn_digit_add(rdnn(n3),rdnn(n8),rdnn(n1),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_354, plain, (rdn_digit_add(rdnn(n4),rdnn(n7),rdnn(n1),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_363, plain, (rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_56, plain, (rdn_translate(n55,rdn_pos(rdn(rdnn(n5),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_57, plain, (rdn_translate(n56,rdn_pos(rdn(rdnn(n6),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_58, plain, (rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_59, plain, (rdn_translate(n58,rdn_pos(rdn(rdnn(n8),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_60, plain, (rdn_translate(n59,rdn_pos(rdn(rdnn(n9),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_61, plain, (rdn_translate(n60,rdn_pos(rdn(rdnn(n0),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_63, plain, (rdn_translate(n62,rdn_pos(rdn(rdnn(n2),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_372, plain, (rdn_digit_add(rdnn(n6),rdnn(n5),rdnn(n1),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_381, plain, (rdn_digit_add(rdnn(n7),rdnn(n4),rdnn(n1),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_390, plain, (rdn_digit_add(rdnn(n8),rdnn(n3),rdnn(n1),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_398, plain, (rdn_digit_add(rdnn(n9),rdnn(n1),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_64, plain, (rdn_translate(n63,rdn_pos(rdn(rdnn(n3),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_65, plain, (rdn_translate(n64,rdn_pos(rdn(rdnn(n4),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_66, plain, (rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_67, plain, (rdn_translate(n66,rdn_pos(rdn(rdnn(n6),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_68, plain, (rdn_translate(n67,rdn_pos(rdn(rdnn(n7),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_69, plain, (rdn_translate(n68,rdn_pos(rdn(rdnn(n8),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_70, plain, (rdn_translate(n69,rdn_pos(rdn(rdnn(n9),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_399, plain, (rdn_digit_add(rdnn(n9),rdnn(n2),rdnn(n1),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_71, plain, (rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_73, plain, (rdn_translate(n72,rdn_pos(rdn(rdnn(n2),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_74, plain, (rdn_translate(n73,rdn_pos(rdn(rdnn(n3),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_75, plain, (rdn_translate(n74,rdn_pos(rdn(rdnn(n4),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_76, plain, (rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_77, plain, (rdn_translate(n76,rdn_pos(rdn(rdnn(n6),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_78, plain, (rdn_translate(n77,rdn_pos(rdn(rdnn(n7),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_79, plain, (rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_80, plain, (rdn_translate(n79,rdn_pos(rdn(rdnn(n9),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_81, plain, (rdn_translate(n80,rdn_pos(rdn(rdnn(n0),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_83, plain, (rdn_translate(n82,rdn_pos(rdn(rdnn(n2),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_84, plain, (rdn_translate(n83,rdn_pos(rdn(rdnn(n3),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_85, plain, (rdn_translate(n84,rdn_pos(rdn(rdnn(n4),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_86, plain, (rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_87, plain, (rdn_translate(n86,rdn_pos(rdn(rdnn(n6),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_88, plain, (rdn_translate(n87,rdn_pos(rdn(rdnn(n7),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_89, plain, (rdn_translate(n88,rdn_pos(rdn(rdnn(n8),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_90, plain, (rdn_translate(n89,rdn_pos(rdn(rdnn(n9),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_91, plain, (rdn_translate(n90,rdn_pos(rdn(rdnn(n0),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_93, plain, (rdn_translate(n92,rdn_pos(rdn(rdnn(n2),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_94, plain, (rdn_translate(n93,rdn_pos(rdn(rdnn(n3),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_95, plain, (rdn_translate(n94,rdn_pos(rdn(rdnn(n4),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_96, plain, (rdn_translate(n95,rdn_pos(rdn(rdnn(n5),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_97, plain, (rdn_translate(n96,rdn_pos(rdn(rdnn(n6),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_98, plain, (rdn_translate(n97,rdn_pos(rdn(rdnn(n7),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_99, plain, (rdn_translate(n98,rdn_pos(rdn(rdnn(n8),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_100, plain, (rdn_translate(n99,rdn_pos(rdn(rdnn(n9),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_148, plain, (rdn_translate(nn20,rdn_neg(rdn(rdnn(n0),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_150, plain, (rdn_translate(nn22,rdn_neg(rdn(rdnn(n2),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_151, plain, (rdn_translate(nn23,rdn_neg(rdn(rdnn(n3),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_152, plain, (rdn_translate(nn24,rdn_neg(rdn(rdnn(n4),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_153, plain, (rdn_translate(nn25,rdn_neg(rdn(rdnn(n5),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_154, plain, (rdn_translate(nn26,rdn_neg(rdn(rdnn(n6),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_155, plain, (rdn_translate(nn27,rdn_neg(rdn(rdnn(n7),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_156, plain, (rdn_translate(nn28,rdn_neg(rdn(rdnn(n8),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_157, plain, (rdn_translate(nn29,rdn_neg(rdn(rdnn(n9),rdnn(n2)))))).
% 0.18/0.41 cnf(i_0_158, plain, (rdn_translate(nn30,rdn_neg(rdn(rdnn(n0),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_160, plain, (rdn_translate(nn32,rdn_neg(rdn(rdnn(n2),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_161, plain, (rdn_translate(nn33,rdn_neg(rdn(rdnn(n3),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_162, plain, (rdn_translate(nn34,rdn_neg(rdn(rdnn(n4),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_163, plain, (rdn_translate(nn35,rdn_neg(rdn(rdnn(n5),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_164, plain, (rdn_translate(nn36,rdn_neg(rdn(rdnn(n6),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_165, plain, (rdn_translate(nn37,rdn_neg(rdn(rdnn(n7),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_166, plain, (rdn_translate(nn38,rdn_neg(rdn(rdnn(n8),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_167, plain, (rdn_translate(nn39,rdn_neg(rdn(rdnn(n9),rdnn(n3)))))).
% 0.18/0.41 cnf(i_0_168, plain, (rdn_translate(nn40,rdn_neg(rdn(rdnn(n0),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_170, plain, (rdn_translate(nn42,rdn_neg(rdn(rdnn(n2),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_171, plain, (rdn_translate(nn43,rdn_neg(rdn(rdnn(n3),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_172, plain, (rdn_translate(nn44,rdn_neg(rdn(rdnn(n4),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_173, plain, (rdn_translate(nn45,rdn_neg(rdn(rdnn(n5),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_174, plain, (rdn_translate(nn46,rdn_neg(rdn(rdnn(n6),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_175, plain, (rdn_translate(nn47,rdn_neg(rdn(rdnn(n7),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_176, plain, (rdn_translate(nn48,rdn_neg(rdn(rdnn(n8),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_177, plain, (rdn_translate(nn49,rdn_neg(rdn(rdnn(n9),rdnn(n4)))))).
% 0.18/0.41 cnf(i_0_178, plain, (rdn_translate(nn50,rdn_neg(rdn(rdnn(n0),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_180, plain, (rdn_translate(nn52,rdn_neg(rdn(rdnn(n2),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_181, plain, (rdn_translate(nn53,rdn_neg(rdn(rdnn(n3),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_182, plain, (rdn_translate(nn54,rdn_neg(rdn(rdnn(n4),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_183, plain, (rdn_translate(nn55,rdn_neg(rdn(rdnn(n5),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_184, plain, (rdn_translate(nn56,rdn_neg(rdn(rdnn(n6),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_185, plain, (rdn_translate(nn57,rdn_neg(rdn(rdnn(n7),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_186, plain, (rdn_translate(nn58,rdn_neg(rdn(rdnn(n8),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_187, plain, (rdn_translate(nn59,rdn_neg(rdn(rdnn(n9),rdnn(n5)))))).
% 0.18/0.41 cnf(i_0_188, plain, (rdn_translate(nn60,rdn_neg(rdn(rdnn(n0),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_190, plain, (rdn_translate(nn62,rdn_neg(rdn(rdnn(n2),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_191, plain, (rdn_translate(nn63,rdn_neg(rdn(rdnn(n3),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_192, plain, (rdn_translate(nn64,rdn_neg(rdn(rdnn(n4),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_193, plain, (rdn_translate(nn65,rdn_neg(rdn(rdnn(n5),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_194, plain, (rdn_translate(nn66,rdn_neg(rdn(rdnn(n6),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_195, plain, (rdn_translate(nn67,rdn_neg(rdn(rdnn(n7),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_196, plain, (rdn_translate(nn68,rdn_neg(rdn(rdnn(n8),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_197, plain, (rdn_translate(nn69,rdn_neg(rdn(rdnn(n9),rdnn(n6)))))).
% 0.18/0.41 cnf(i_0_198, plain, (rdn_translate(nn70,rdn_neg(rdn(rdnn(n0),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_200, plain, (rdn_translate(nn72,rdn_neg(rdn(rdnn(n2),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_201, plain, (rdn_translate(nn73,rdn_neg(rdn(rdnn(n3),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_202, plain, (rdn_translate(nn74,rdn_neg(rdn(rdnn(n4),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_203, plain, (rdn_translate(nn75,rdn_neg(rdn(rdnn(n5),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_204, plain, (rdn_translate(nn76,rdn_neg(rdn(rdnn(n6),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_205, plain, (rdn_translate(nn77,rdn_neg(rdn(rdnn(n7),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_206, plain, (rdn_translate(nn78,rdn_neg(rdn(rdnn(n8),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_207, plain, (rdn_translate(nn79,rdn_neg(rdn(rdnn(n9),rdnn(n7)))))).
% 0.18/0.41 cnf(i_0_208, plain, (rdn_translate(nn80,rdn_neg(rdn(rdnn(n0),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_210, plain, (rdn_translate(nn82,rdn_neg(rdn(rdnn(n2),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_211, plain, (rdn_translate(nn83,rdn_neg(rdn(rdnn(n3),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_212, plain, (rdn_translate(nn84,rdn_neg(rdn(rdnn(n4),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_213, plain, (rdn_translate(nn85,rdn_neg(rdn(rdnn(n5),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_214, plain, (rdn_translate(nn86,rdn_neg(rdn(rdnn(n6),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_215, plain, (rdn_translate(nn87,rdn_neg(rdn(rdnn(n7),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_216, plain, (rdn_translate(nn88,rdn_neg(rdn(rdnn(n8),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_217, plain, (rdn_translate(nn89,rdn_neg(rdn(rdnn(n9),rdnn(n8)))))).
% 0.18/0.41 cnf(i_0_218, plain, (rdn_translate(nn90,rdn_neg(rdn(rdnn(n0),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_220, plain, (rdn_translate(nn92,rdn_neg(rdn(rdnn(n2),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_221, plain, (rdn_translate(nn93,rdn_neg(rdn(rdnn(n3),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_222, plain, (rdn_translate(nn94,rdn_neg(rdn(rdnn(n4),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_223, plain, (rdn_translate(nn95,rdn_neg(rdn(rdnn(n5),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_224, plain, (rdn_translate(nn96,rdn_neg(rdn(rdnn(n6),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_225, plain, (rdn_translate(nn97,rdn_neg(rdn(rdnn(n7),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_226, plain, (rdn_translate(nn98,rdn_neg(rdn(rdnn(n8),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_227, plain, (rdn_translate(nn99,rdn_neg(rdn(rdnn(n9),rdnn(n9)))))).
% 0.18/0.41 cnf(i_0_319, plain, (rdn_digit_add(rdnn(n1),rdnn(n2),rdnn(n3),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_320, plain, (rdn_digit_add(rdnn(n1),rdnn(n3),rdnn(n4),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_321, plain, (rdn_digit_add(rdnn(n1),rdnn(n4),rdnn(n5),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_322, plain, (rdn_digit_add(rdnn(n1),rdnn(n5),rdnn(n6),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_307, plain, (rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_309, plain, (rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(n2),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_310, plain, (rdn_digit_add(rdnn(n0),rdnn(n3),rdnn(n3),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_323, plain, (rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(n7),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_324, plain, (rdn_digit_add(rdnn(n1),rdnn(n7),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_325, plain, (rdn_digit_add(rdnn(n1),rdnn(n8),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_328, plain, (rdn_digit_add(rdnn(n2),rdnn(n1),rdnn(n3),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_335, plain, (rdn_digit_add(rdnn(n2),rdnn(n8),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_338, plain, (rdn_digit_add(rdnn(n3),rdnn(n1),rdnn(n4),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_311, plain, (rdn_digit_add(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_312, plain, (rdn_digit_add(rdnn(n0),rdnn(n5),rdnn(n5),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_313, plain, (rdn_digit_add(rdnn(n0),rdnn(n6),rdnn(n6),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_314, plain, (rdn_digit_add(rdnn(n0),rdnn(n7),rdnn(n7),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_344, plain, (rdn_digit_add(rdnn(n3),rdnn(n7),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_346, plain, (rdn_digit_add(rdnn(n3),rdnn(n9),rdnn(n2),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_348, plain, (rdn_digit_add(rdnn(n4),rdnn(n1),rdnn(n5),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_353, plain, (rdn_digit_add(rdnn(n4),rdnn(n6),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_355, plain, (rdn_digit_add(rdnn(n4),rdnn(n8),rdnn(n2),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_101, plain, (rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_356, plain, (rdn_digit_add(rdnn(n4),rdnn(n9),rdnn(n3),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_315, plain, (rdn_digit_add(rdnn(n0),rdnn(n8),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_316, plain, (rdn_digit_add(rdnn(n0),rdnn(n9),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_327, plain, (rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(n2),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_329, plain, (rdn_digit_add(rdnn(n2),rdnn(n2),rdnn(n4),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_358, plain, (rdn_digit_add(rdnn(n5),rdnn(n1),rdnn(n6),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_362, plain, (rdn_digit_add(rdnn(n5),rdnn(n5),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_364, plain, (rdn_digit_add(rdnn(n5),rdnn(n7),rdnn(n2),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_365, plain, (rdn_digit_add(rdnn(n5),rdnn(n8),rdnn(n3),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_366, plain, (rdn_digit_add(rdnn(n5),rdnn(n9),rdnn(n4),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_102, plain, (rdn_translate(n101,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_368, plain, (rdn_digit_add(rdnn(n6),rdnn(n1),rdnn(n7),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_330, plain, (rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_331, plain, (rdn_digit_add(rdnn(n2),rdnn(n4),rdnn(n6),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_332, plain, (rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_333, plain, (rdn_digit_add(rdnn(n2),rdnn(n6),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_371, plain, (rdn_digit_add(rdnn(n6),rdnn(n4),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_373, plain, (rdn_digit_add(rdnn(n6),rdnn(n6),rdnn(n2),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_374, plain, (rdn_digit_add(rdnn(n6),rdnn(n7),rdnn(n3),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_375, plain, (rdn_digit_add(rdnn(n6),rdnn(n8),rdnn(n4),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_376, plain, (rdn_digit_add(rdnn(n6),rdnn(n9),rdnn(n5),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_103, plain, (rdn_translate(n102,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_378, plain, (rdn_digit_add(rdnn(n7),rdnn(n1),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_334, plain, (rdn_digit_add(rdnn(n2),rdnn(n7),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_337, plain, (rdn_digit_add(rdnn(n3),rdnn(n0),rdnn(n3),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_339, plain, (rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_340, plain, (rdn_digit_add(rdnn(n3),rdnn(n3),rdnn(n6),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_380, plain, (rdn_digit_add(rdnn(n7),rdnn(n3),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_382, plain, (rdn_digit_add(rdnn(n7),rdnn(n5),rdnn(n2),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_383, plain, (rdn_digit_add(rdnn(n7),rdnn(n6),rdnn(n3),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_384, plain, (rdn_digit_add(rdnn(n7),rdnn(n7),rdnn(n4),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_385, plain, (rdn_digit_add(rdnn(n7),rdnn(n8),rdnn(n5),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_104, plain, (rdn_translate(n103,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_386, plain, (rdn_digit_add(rdnn(n7),rdnn(n9),rdnn(n6),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_341, plain, (rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_342, plain, (rdn_digit_add(rdnn(n3),rdnn(n5),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_343, plain, (rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_347, plain, (rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_388, plain, (rdn_digit_add(rdnn(n8),rdnn(n1),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_389, plain, (rdn_digit_add(rdnn(n8),rdnn(n2),rdnn(n0),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_391, plain, (rdn_digit_add(rdnn(n8),rdnn(n4),rdnn(n2),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_392, plain, (rdn_digit_add(rdnn(n8),rdnn(n5),rdnn(n3),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_393, plain, (rdn_digit_add(rdnn(n8),rdnn(n6),rdnn(n4),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_105, plain, (rdn_translate(n104,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_394, plain, (rdn_digit_add(rdnn(n8),rdnn(n7),rdnn(n5),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_349, plain, (rdn_digit_add(rdnn(n4),rdnn(n2),rdnn(n6),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_350, plain, (rdn_digit_add(rdnn(n4),rdnn(n3),rdnn(n7),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_351, plain, (rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_352, plain, (rdn_digit_add(rdnn(n4),rdnn(n5),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_395, plain, (rdn_digit_add(rdnn(n8),rdnn(n8),rdnn(n6),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_396, plain, (rdn_digit_add(rdnn(n8),rdnn(n9),rdnn(n7),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_400, plain, (rdn_digit_add(rdnn(n9),rdnn(n3),rdnn(n2),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_401, plain, (rdn_digit_add(rdnn(n9),rdnn(n4),rdnn(n3),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_402, plain, (rdn_digit_add(rdnn(n9),rdnn(n5),rdnn(n4),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_106, plain, (rdn_translate(n105,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_403, plain, (rdn_digit_add(rdnn(n9),rdnn(n6),rdnn(n5),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_357, plain, (rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_359, plain, (rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_360, plain, (rdn_digit_add(rdnn(n5),rdnn(n3),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_361, plain, (rdn_digit_add(rdnn(n5),rdnn(n4),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_404, plain, (rdn_digit_add(rdnn(n9),rdnn(n7),rdnn(n6),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_405, plain, (rdn_digit_add(rdnn(n9),rdnn(n8),rdnn(n7),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_406, plain, (rdn_digit_add(rdnn(n9),rdnn(n9),rdnn(n8),rdnn(n1)))).
% 0.18/0.41 cnf(i_0_112, plain, (rdn_translate(n111,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_239, plain, (rdn_translate(nn111,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_107, plain, (rdn_translate(n106,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_367, plain, (rdn_digit_add(rdnn(n6),rdnn(n0),rdnn(n6),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_369, plain, (rdn_digit_add(rdnn(n6),rdnn(n2),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_370, plain, (rdn_digit_add(rdnn(n6),rdnn(n3),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_377, plain, (rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_379, plain, (rdn_digit_add(rdnn(n7),rdnn(n2),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_387, plain, (rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_397, plain, (rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_111, plain, (rdn_translate(n110,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_113, plain, (rdn_translate(n112,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_114, plain, (rdn_translate(n113,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_108, plain, (rdn_translate(n107,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_115, plain, (rdn_translate(n114,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_109, plain, (rdn_translate(n108,rdn_pos(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_110, plain, (rdn_translate(n109,rdn_pos(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_116, plain, (rdn_translate(n115,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_117, plain, (rdn_translate(n116,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_118, plain, (rdn_translate(n117,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_119, plain, (rdn_translate(n118,rdn_pos(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_120, plain, (rdn_translate(n119,rdn_pos(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_121, plain, (rdn_translate(n120,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_122, plain, (rdn_translate(n121,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_123, plain, (rdn_translate(n122,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_124, plain, (rdn_translate(n123,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_125, plain, (rdn_translate(n124,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_126, plain, (rdn_translate(n125,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_229, plain, (rdn_translate(nn101,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_238, plain, (rdn_translate(nn110,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_240, plain, (rdn_translate(nn112,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_241, plain, (rdn_translate(nn113,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_242, plain, (rdn_translate(nn114,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_127, plain, (rdn_translate(n126,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_243, plain, (rdn_translate(nn115,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_128, plain, (rdn_translate(n127,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_228, plain, (rdn_translate(nn100,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_230, plain, (rdn_translate(nn102,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_231, plain, (rdn_translate(nn103,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_244, plain, (rdn_translate(nn116,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_245, plain, (rdn_translate(nn117,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_246, plain, (rdn_translate(nn118,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_247, plain, (rdn_translate(nn119,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_249, plain, (rdn_translate(nn121,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_232, plain, (rdn_translate(nn104,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_233, plain, (rdn_translate(nn105,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_234, plain, (rdn_translate(nn106,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_235, plain, (rdn_translate(nn107,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_236, plain, (rdn_translate(nn108,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_237, plain, (rdn_translate(nn109,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_248, plain, (rdn_translate(nn120,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_250, plain, (rdn_translate(nn122,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_251, plain, (rdn_translate(nn123,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_252, plain, (rdn_translate(nn124,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_253, plain, (rdn_translate(nn125,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_254, plain, (rdn_translate(nn126,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_255, plain, (rdn_translate(nn127,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_256, plain, (rdn_translate(nn128,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n2),rdnn(n1))))))).
% 0.18/0.41 cnf(i_0_407, negated_conjecture, (~sum(n21,X1,n21))).
% 0.18/0.41 cnf(i_0_285, plain, (~less(X1,X1))).
% 0.18/0.41 cnf(i_0_286, plain, (~less(X1,X2)|~less(X2,X1))).
% 0.18/0.41 cnf(i_0_288, plain, (less_or_equal(X1,X2)|~less(X1,X2))).
% 0.18/0.41 cnf(i_0_300, plain, (sum(X1,X2,X3)|~difference(X3,X1,X2))).
% 0.18/0.41 cnf(i_0_279, plain, (rdn_non_zero(rdnn(X1))|~rdn_non_zero_digit(rdnn(X1)))).
% 0.18/0.41 cnf(i_0_289, plain, (X1=X2|less(X1,X2)|~less_or_equal(X1,X2))).
% 0.18/0.41 cnf(i_0_301, plain, (difference(X1,X2,X3)|~sum(X2,X3,X1))).
% 0.18/0.41 cnf(i_0_297, plain, (X1=X2|~sum(X3,X4,X2)|~sum(X3,X4,X1))).
% 0.18/0.41 cnf(i_0_299, plain, (X1=X2|~sum(X3,X2,X4)|~sum(X3,X1,X4))).
% 0.18/0.41 cnf(i_0_298, plain, (X1=X2|~sum(X2,X3,X4)|~sum(X1,X3,X4))).
% 0.18/0.41 cnf(i_0_280, plain, (rdn_non_zero(rdn(rdnn(X1),X2))|~rdn_non_zero(X2))).
% 0.18/0.41 cnf(i_0_290, plain, (less_or_equal(X1,X2)|~sum(X2,n1,X3)|~less(X1,X3))).
% 0.18/0.41 cnf(i_0_284, plain, (X1=X2|less(X1,X2)|less(X2,X1))).
% 0.18/0.41 cnf(i_0_278, plain, (rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))|~rdn_non_zero(X3))).
% 0.18/0.41 cnf(i_0_282, plain, (less(X1,X2)|~rdn_translate(X2,rdn_pos(X3))|~rdn_translate(X1,rdn_neg(X4)))).
% 0.18/0.41 cnf(i_0_295, plain, (sum(X1,X2,n0)|~rdn_translate(X2,rdn_neg(X3))|~rdn_translate(X1,rdn_pos(X3)))).
% 0.18/0.41 cnf(i_0_283, plain, (less(X1,X2)|~rdn_positive_less(X3,X4)|~rdn_translate(X2,rdn_neg(X3))|~rdn_translate(X1,rdn_neg(X4)))).
% 0.18/0.41 cnf(i_0_281, plain, (less(X1,X2)|~rdn_positive_less(X3,X4)|~rdn_translate(X2,rdn_pos(X4))|~rdn_translate(X1,rdn_pos(X3)))).
% 0.18/0.41 cnf(i_0_296, plain, (sum(X1,X2,X3)|~sum(X2,X1,X3)|~rdn_translate(X2,rdn_pos(X4))|~rdn_translate(X1,rdn_neg(X5)))).
% 0.18/0.41 cnf(i_0_275, plain, (rdn_positive_less(rdnn(X1),rdnn(X2))|~rdn_positive_less(rdnn(X3),rdnn(X2))|~rdn_positive_less(rdnn(X1),rdnn(X3)))).
% 0.18/0.41 cnf(i_0_276, plain, (rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X4))|~rdn_positive_less(X2,X4))).
% 0.18/0.41 cnf(i_0_277, plain, (rdn_positive_less(rdn(rdnn(X1),X2),rdn(rdnn(X3),X2))|~rdn_non_zero(X2)|~rdn_positive_less(rdnn(X1),rdnn(X3)))).
% 0.18/0.41 cnf(i_0_291, plain, (sum(X1,X2,X3)|~rdn_add_with_carry(rdnn(n0),X4,X5,X6)|~rdn_translate(X3,rdn_pos(X6))|~rdn_translate(X2,rdn_pos(X5))|~rdn_translate(X1,rdn_pos(X4)))).
% 0.18/0.41 cnf(i_0_292, plain, (sum(X1,X2,X3)|~rdn_add_with_carry(rdnn(n0),X4,X5,X6)|~rdn_translate(X3,rdn_neg(X6))|~rdn_translate(X2,rdn_neg(X5))|~rdn_translate(X1,rdn_neg(X4)))).
% 0.18/0.41 cnf(i_0_294, plain, (sum(X1,X2,X3)|~rdn_add_with_carry(rdnn(n0),X4,X5,X6)|~rdn_positive_less(X4,X6)|~rdn_translate(X3,rdn_pos(X5))|~rdn_translate(X2,rdn_neg(X4))|~rdn_translate(X1,rdn_pos(X6)))).
% 0.18/0.41 cnf(i_0_293, plain, (sum(X1,X2,X3)|~rdn_add_with_carry(rdnn(n0),X4,X5,X6)|~rdn_positive_less(X4,X6)|~rdn_translate(X3,rdn_neg(X5))|~rdn_translate(X2,rdn_neg(X6))|~rdn_translate(X1,rdn_pos(X4)))).
% 0.18/0.41 cnf(i_0_302, plain, (rdn_add_with_carry(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))|~rdn_digit_add(rdnn(X5),rdnn(X1),rdnn(X4),rdnn(n0))|~rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X5),rdnn(n0)))).
% 0.18/0.41 cnf(i_0_306, plain, (rdn_add_with_carry(rdnn(X1),rdn(rdnn(X2),X3),rdnn(X4),rdn(rdnn(X5),X6))|~rdn_add_with_carry(rdnn(X1),rdnn(X4),rdn(rdnn(X2),X3),rdn(rdnn(X5),X6)))).
% 0.18/0.41 cnf(i_0_303, plain, (rdn_add_with_carry(rdnn(X1),rdnn(X2),rdnn(X3),rdn(rdnn(X4),rdnn(n1)))|~rdn_digit_add(rdnn(X5),rdnn(X6),rdnn(n1),rdnn(n0))|~rdn_digit_add(rdnn(X7),rdnn(X1),rdnn(X4),rdnn(X6))|~rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X7),rdnn(X5)))).
% 0.18/0.41 cnf(i_0_304, plain, (rdn_add_with_carry(rdnn(X1),rdnn(X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6))|~rdn_digit_add(rdnn(X7),rdnn(X8),rdnn(X9),rdnn(n0))|~rdn_digit_add(rdnn(X10),rdnn(X1),rdnn(X5),rdnn(X8))|~rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X10),rdnn(X7))|~rdn_add_with_carry(rdnn(X9),rdnn(n0),X4,X6)|~rdn_non_zero(X6)|~rdn_non_zero(X4))).
% 0.18/0.41 cnf(i_0_305, plain, (rdn_add_with_carry(rdnn(X1),rdn(rdnn(X2),X3),rdn(rdnn(X4),X5),rdn(rdnn(X6),X7))|~rdn_digit_add(rdnn(X8),rdnn(X9),rdnn(X10),rdnn(n0))|~rdn_digit_add(rdnn(X11),rdnn(X1),rdnn(X6),rdnn(X9))|~rdn_digit_add(rdnn(X2),rdnn(X4),rdnn(X11),rdnn(X8))|~rdn_add_with_carry(rdnn(X10),X3,X5,X7)|~rdn_non_zero(X7)|~rdn_non_zero(X5)|~rdn_non_zero(X3))).
% 0.18/0.41 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.18/0.41 # Begin printing tableau
% 0.18/0.41 # Found 2 steps
% 0.18/0.41 cnf(i_0_409, negated_conjecture, (less(nn1,nn1)), inference(start_rule)).
% 0.18/0.41 cnf(i_0_413, plain, (less(nn1,nn1)), inference(closure_rule, [i_0_285])).
% 0.18/0.41 # End printing tableau
% 0.18/0.41 # SZS output end
% 0.18/0.41 # Branches closed with saturation will be marked with an "s"
% 0.18/0.41 # NOT attempting initial tableau saturation
% 0.18/0.41 # 2 start rule tableaux created.
% 0.18/0.41 # 30 extension rule candidate clauses
% 0.18/0.41 # 379 unit axiom clauses
% 0.18/0.41
% 0.18/0.41 # Proof search is over...
% 0.18/0.41 # Freeing feature tree
%------------------------------------------------------------------------------