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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUM340+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% 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  : 300s
% DateTime : Tue May  5 04:53:13 PM UTC 2026

% Result   : Theorem 37.17s 20.66s
% Output   : CNFRefutation 46.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 800)

% Comments : 
%------------------------------------------------------------------------------
fof(diff_zero_identity,conjecture,
    ? [X1] : difference(X1,n0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_zero_identity) ).

fof(less_property,axiom,
    ! [X1,X2] :
      ( less(X1,X2)
    <=> ( ~ less(X2,X1)
        & X2 != X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).

fof(add_rdn_rdn_rdn,axiom,
    ! [X21,X22,X31,X23,X28,X24,X29,X25,X26,X27,X32] :
      ( ( rdn_digit_add(rdnn(X22),rdnn(X23),rdnn(X25),rdnn(X26))
        & rdn_digit_add(rdnn(X25),rdnn(X21),rdnn(X24),rdnn(X27))
        & rdn_digit_add(rdnn(X26),rdnn(X27),rdnn(X32),rdnn(n0))
        & rdn_add_with_carry(rdnn(X32),X31,X28,X29)
        & rdn_non_zero(X31)
        & rdn_non_zero(X28)
        & rdn_non_zero(X29) )
     => rdn_add_with_carry(rdnn(X21),rdn(rdnn(X22),X31),rdn(rdnn(X23),X28),rdn(rdnn(X24),X29)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_rdn_rdn_rdn) ).

fof(add_digit_rdn_rdn,axiom,
    ! [X21,X22,X23,X28,X24,X29,X25,X26,X27,X30] :
      ( ( rdn_digit_add(rdnn(X22),rdnn(X23),rdnn(X25),rdnn(X26))
        & rdn_digit_add(rdnn(X25),rdnn(X21),rdnn(X24),rdnn(X27))
        & rdn_digit_add(rdnn(X26),rdnn(X27),rdnn(X30),rdnn(n0))
        & rdn_add_with_carry(rdnn(X30),rdnn(n0),X28,X29)
        & rdn_non_zero(X28)
        & rdn_non_zero(X29) )
     => rdn_add_with_carry(rdnn(X21),rdnn(X22),rdn(rdnn(X23),X28),rdn(rdnn(X24),X29)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_rdn_rdn) ).

fof(add_digit_digit_rdn,axiom,
    ! [X21,X22,X23,X25,X24,X26,X27] :
      ( ( rdn_digit_add(rdnn(X22),rdnn(X23),rdnn(X25),rdnn(X26))
        & rdn_digit_add(rdnn(X25),rdnn(X21),rdnn(X24),rdnn(X27))
        & rdn_digit_add(rdnn(X26),rdnn(X27),rdnn(n1),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X21),rdnn(X22),rdnn(X23),rdn(rdnn(X24),rdnn(n1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_digit_rdn) ).

fof(add_digit_digit_digit,axiom,
    ! [X21,X22,X23,X24,X25] :
      ( ( rdn_digit_add(rdnn(X22),rdnn(X23),rdnn(X25),rdnn(n0))
        & rdn_digit_add(rdnn(X25),rdnn(X21),rdnn(X24),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X21),rdnn(X22),rdnn(X23),rdnn(X24)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).

fof(add_rdn_digit_rdn,axiom,
    ! [X21,X22,X31,X23,X24,X29] :
      ( rdn_add_with_carry(rdnn(X21),rdnn(X23),rdn(rdnn(X22),X31),rdn(rdnn(X24),X29))
     => rdn_add_with_carry(rdnn(X21),rdn(rdnn(X22),X31),rdnn(X23),rdn(rdnn(X24),X29)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_rdn_digit_rdn) ).

fof(sum_entry_point_pos_neg_1,axiom,
    ! [X1,X2,X3,X10,X11,X12] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X2,rdn_neg(X11))
        & rdn_positive_less(X10,X11)
        & rdn_add_with_carry(rdnn(n0),X10,X12,X11)
        & rdn_translate(X3,rdn_neg(X12)) )
     => sum(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_neg_1) ).

fof(sum_entry_point_pos_neg_2,axiom,
    ! [X1,X2,X3,X10,X11,X12] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X2,rdn_neg(X11))
        & rdn_positive_less(X11,X10)
        & rdn_add_with_carry(rdnn(n0),X11,X12,X10)
        & rdn_translate(X3,rdn_pos(X12)) )
     => sum(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_neg_2) ).

fof(sum_entry_point_neg_neg,axiom,
    ! [X1,X2,X3,X10,X11,X12] :
      ( ( rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X2,rdn_neg(X11))
        & rdn_add_with_carry(rdnn(n0),X10,X11,X12)
        & rdn_translate(X3,rdn_neg(X12)) )
     => sum(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_neg_neg) ).

fof(sum_entry_point_pos_pos,axiom,
    ! [X1,X2,X3,X10,X11,X12] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X2,rdn_pos(X11))
        & rdn_add_with_carry(rdnn(n0),X10,X11,X12)
        & rdn_translate(X3,rdn_pos(X12)) )
     => sum(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_pos_pos) ).

fof(sum_entry_point_neg_pos,axiom,
    ! [X1,X2,X3,X10,X11] :
      ( ( rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X2,rdn_pos(X11))
        & sum(X2,X1,X3) )
     => sum(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_neg_pos) ).

fof(unique_LHS,axiom,
    ! [X17,X18,X2,X3] :
      ( ( sum(X17,X2,X3)
        & sum(X18,X2,X3) )
     => X17 = X18 ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_LHS) ).

fof(unique_RHS,axiom,
    ! [X1,X19,X20,X3] :
      ( ( sum(X1,X19,X3)
        & sum(X1,X20,X3) )
     => X19 = X20 ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_RHS) ).

fof(unique_sum,axiom,
    ! [X1,X2,X15,X16] :
      ( ( sum(X1,X2,X15)
        & sum(X1,X2,X16) )
     => X15 = X16 ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',unique_sum) ).

fof(minus_entry_point,axiom,
    ! [X1,X2,X3] :
      ( sum(X2,X3,X1)
    <=> difference(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',minus_entry_point) ).

fof(rdn_positive_less_multi_digit_low,axiom,
    ! [X4,X8,X6] :
      ( ( rdn_positive_less(rdnn(X4),rdnn(X6))
        & rdn_non_zero(X8) )
     => rdn_positive_less(rdn(rdnn(X4),X8),rdn(rdnn(X6),X8)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_low) ).

fof(less_successor,axiom,
    ! [X1,X2,X3] :
      ( ( sum(X1,n1,X2)
        & less(X3,X2) )
     => less_or_equal(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_successor) ).

fof(sum_entry_point_posx_negx,axiom,
    ! [X13,X14,X10] :
      ( ( rdn_translate(X13,rdn_pos(X10))
        & rdn_translate(X14,rdn_neg(X10)) )
     => sum(X13,X14,n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).

fof(rdn_positive_less_multi_digit_high,axiom,
    ! [X4,X5,X6,X7] :
      ( rdn_positive_less(X5,X7)
     => rdn_positive_less(rdn(rdnn(X4),X5),rdn(rdnn(X6),X7)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).

fof(rdn_positive_less_transitivity,axiom,
    ! [X1,X2,X3] :
      ( ( rdn_positive_less(rdnn(X1),rdnn(X2))
        & rdn_positive_less(rdnn(X2),rdnn(X3)) )
     => rdn_positive_less(rdnn(X1),rdnn(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).

fof(less_entry_point_pos_pos,axiom,
    ! [X1,X2,X10,X11] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X2,rdn_pos(X11))
        & rdn_positive_less(X10,X11) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

fof(less_entry_point_neg_neg,axiom,
    ! [X1,X2,X10,X11] :
      ( ( rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X2,rdn_neg(X11))
        & rdn_positive_less(X11,X10) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_neg) ).

fof(less_entry_point_neg_pos,axiom,
    ! [X1,X2,X10,X11] :
      ( ( rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X2,rdn_pos(X11)) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_pos) ).

fof(rdn_extra_digits_positive_less,axiom,
    ! [X9,X6,X7] :
      ( rdn_non_zero(X7)
     => rdn_positive_less(rdnn(X9),rdn(rdnn(X6),X7)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).

fof(rdn_non_zero_by_structure,axiom,
    ! [X9,X8] :
      ( rdn_non_zero(X8)
     => rdn_non_zero(rdn(rdnn(X9),X8)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_structure) ).

fof(less_or_equal,axiom,
    ! [X1,X2] :
      ( less_or_equal(X1,X2)
    <=> ( less(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_or_equal) ).

fof(rdn_non_zero_by_digit,axiom,
    ! [X1] :
      ( rdn_non_zero_digit(rdnn(X1))
     => rdn_non_zero(rdnn(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).

fof(rdn_digit_add_n9_n9_n8_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n9),rdnn(n8),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n9_n8_n1) ).

fof(rdn_digit_add_n9_n8_n7_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n8),rdnn(n7),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n8_n7_n1) ).

fof(rdn_digit_add_n9_n7_n6_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n7),rdnn(n6),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n7_n6_n1) ).

fof(rdn_digit_add_n9_n6_n5_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n6),rdnn(n5),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n6_n5_n1) ).

fof(rdn_digit_add_n9_n5_n4_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n5),rdnn(n4),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n5_n4_n1) ).

fof(rdn_digit_add_n9_n4_n3_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n4),rdnn(n3),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n4_n3_n1) ).

fof(rdn_digit_add_n9_n3_n2_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n3),rdnn(n2),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n3_n2_n1) ).

fof(rdn_digit_add_n9_n2_n1_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n2),rdnn(n1),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n2_n1_n1) ).

fof(rdn_digit_add_n9_n1_n0_n1,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n1),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n1_n0_n1) ).

fof(rdn_digit_add_n9_n0_n9_n0,axiom,
    rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n9_n0_n9_n0) ).

fof(rdn_digit_add_n8_n9_n7_n1,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n9),rdnn(n7),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n9_n7_n1) ).

fof(rdn_digit_add_n8_n8_n6_n1,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n8),rdnn(n6),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n8_n6_n1) ).

fof(rdn_digit_add_n8_n7_n5_n1,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n7),rdnn(n5),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n7_n5_n1) ).

fof(rdn_digit_add_n8_n6_n4_n1,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n6),rdnn(n4),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n6_n4_n1) ).

fof(rdn_digit_add_n8_n5_n3_n1,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n5),rdnn(n3),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n5_n3_n1) ).

fof(rdn_digit_add_n8_n4_n2_n1,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n4),rdnn(n2),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n4_n2_n1) ).

fof(rdn_digit_add_n8_n3_n1_n1,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n3),rdnn(n1),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n3_n1_n1) ).

fof(rdn_digit_add_n8_n2_n0_n1,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n2),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n2_n0_n1) ).

fof(rdn_digit_add_n8_n1_n9_n0,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n1),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n1_n9_n0) ).

fof(rdn_digit_add_n8_n0_n8_n0,axiom,
    rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n8_n0_n8_n0) ).

fof(rdn_digit_add_n7_n9_n6_n1,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n9),rdnn(n6),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n9_n6_n1) ).

fof(rdn_digit_add_n7_n8_n5_n1,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n8),rdnn(n5),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n8_n5_n1) ).

fof(rdn_digit_add_n7_n7_n4_n1,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n7),rdnn(n4),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n7_n4_n1) ).

fof(rdn_digit_add_n7_n6_n3_n1,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n6),rdnn(n3),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n6_n3_n1) ).

fof(rdn_digit_add_n7_n5_n2_n1,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n5),rdnn(n2),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n5_n2_n1) ).

fof(rdn_digit_add_n7_n4_n1_n1,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n4),rdnn(n1),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n4_n1_n1) ).

fof(rdn_digit_add_n7_n3_n0_n1,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n3),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n3_n0_n1) ).

fof(rdn_digit_add_n7_n2_n9_n0,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n2),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n2_n9_n0) ).

fof(rdn_digit_add_n7_n1_n8_n0,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n1),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n1_n8_n0) ).

fof(rdn_digit_add_n7_n0_n7_n0,axiom,
    rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n0_n7_n0) ).

fof(rdn_digit_add_n6_n9_n5_n1,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n9),rdnn(n5),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n9_n5_n1) ).

fof(rdn_digit_add_n6_n8_n4_n1,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n8),rdnn(n4),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n8_n4_n1) ).

fof(rdn_digit_add_n6_n7_n3_n1,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n7),rdnn(n3),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n7_n3_n1) ).

fof(rdn_digit_add_n6_n6_n2_n1,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n6),rdnn(n2),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n6_n2_n1) ).

fof(rdn_digit_add_n6_n5_n1_n1,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n5),rdnn(n1),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n5_n1_n1) ).

fof(rdn_digit_add_n6_n4_n0_n1,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n4),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n4_n0_n1) ).

fof(rdn_digit_add_n6_n3_n9_n0,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n3),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n3_n9_n0) ).

fof(rdn_digit_add_n6_n2_n8_n0,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n2),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n2_n8_n0) ).

fof(rdn_digit_add_n6_n1_n7_n0,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n1),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n1_n7_n0) ).

fof(rdn_digit_add_n6_n0_n6_n0,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n0),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n6_n0_n6_n0) ).

fof(rdn_digit_add_n5_n9_n4_n1,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n9),rdnn(n4),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n9_n4_n1) ).

fof(rdn_digit_add_n5_n8_n3_n1,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n8),rdnn(n3),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n8_n3_n1) ).

fof(rdn_digit_add_n5_n7_n2_n1,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n7),rdnn(n2),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n7_n2_n1) ).

fof(rdn_digit_add_n5_n6_n1_n1,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n6_n1_n1) ).

fof(rdn_digit_add_n5_n5_n0_n1,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n5),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n5_n0_n1) ).

fof(rdn_digit_add_n5_n4_n9_n0,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n4),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n4_n9_n0) ).

fof(rdn_digit_add_n5_n3_n8_n0,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n3),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n3_n8_n0) ).

fof(rdn_digit_add_n5_n2_n7_n0,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n2_n7_n0) ).

fof(rdn_digit_add_n5_n1_n6_n0,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n1),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n1_n6_n0) ).

fof(rdn_digit_add_n5_n0_n5_n0,axiom,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n5_n0_n5_n0) ).

fof(rdn_digit_add_n4_n9_n3_n1,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n9),rdnn(n3),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n9_n3_n1) ).

fof(rdn_digit_add_n4_n8_n2_n1,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n8),rdnn(n2),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n8_n2_n1) ).

fof(rdn_digit_add_n4_n7_n1_n1,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n7),rdnn(n1),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n7_n1_n1) ).

fof(rdn_digit_add_n4_n6_n0_n1,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n6),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n6_n0_n1) ).

fof(rdn_digit_add_n4_n5_n9_n0,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n5),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n5_n9_n0) ).

fof(rdn_digit_add_n4_n4_n8_n0,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n4_n8_n0) ).

fof(rdn_digit_add_n4_n3_n7_n0,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n3),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n3_n7_n0) ).

fof(rdn_digit_add_n4_n2_n6_n0,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n2),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n2_n6_n0) ).

fof(rdn_digit_add_n4_n1_n5_n0,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n1),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n1_n5_n0) ).

fof(rdn_digit_add_n4_n0_n4_n0,axiom,
    rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n4_n0_n4_n0) ).

fof(rdn_digit_add_n3_n9_n2_n1,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n9),rdnn(n2),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n9_n2_n1) ).

fof(rdn_digit_add_n3_n8_n1_n1,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n8),rdnn(n1),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n8_n1_n1) ).

fof(rdn_digit_add_n3_n7_n0_n1,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n7),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n7_n0_n1) ).

fof(rdn_digit_add_n3_n6_n9_n0,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n6_n9_n0) ).

fof(rdn_digit_add_n3_n5_n8_n0,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n5),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n5_n8_n0) ).

fof(rdn_digit_add_n3_n4_n7_n0,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n4_n7_n0) ).

fof(rdn_digit_add_n3_n3_n6_n0,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n3),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n3_n6_n0) ).

fof(rdn_digit_add_n3_n2_n5_n0,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n2_n5_n0) ).

fof(rdn_digit_add_n3_n1_n4_n0,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n1),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n1_n4_n0) ).

fof(rdn_digit_add_n3_n0_n3_n0,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n0),rdnn(n3),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n3_n0_n3_n0) ).

fof(rdn_digit_add_n2_n9_n1_n1,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n9_n1_n1) ).

fof(rdn_digit_add_n2_n8_n0_n1,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n8),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n8_n0_n1) ).

fof(rdn_digit_add_n2_n7_n9_n0,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n7),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n7_n9_n0) ).

fof(rdn_digit_add_n2_n6_n8_n0,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n6),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n6_n8_n0) ).

fof(rdn_digit_add_n2_n5_n7_n0,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n5_n7_n0) ).

fof(rdn_digit_add_n2_n4_n6_n0,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n4),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n4_n6_n0) ).

fof(rdn_digit_add_n2_n3_n5_n0,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n3_n5_n0) ).

fof(rdn_digit_add_n2_n2_n4_n0,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n2),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n2_n4_n0) ).

fof(rdn_digit_add_n2_n1_n3_n0,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n1),rdnn(n3),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n1_n3_n0) ).

fof(rdn_digit_add_n2_n0_n2_n0,axiom,
    rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(n2),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n0_n2_n0) ).

fof(rdn_digit_add_n1_n9_n0_n1,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n9),rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n9_n0_n1) ).

fof(rdn_digit_add_n1_n8_n9_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n8),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n8_n9_n0) ).

fof(rdn_digit_add_n1_n7_n8_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n7),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n7_n8_n0) ).

fof(rdn_digit_add_n1_n6_n7_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n6_n7_n0) ).

fof(rdn_digit_add_n1_n5_n6_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n5),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n5_n6_n0) ).

fof(rdn_digit_add_n1_n4_n5_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n4),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n4_n5_n0) ).

fof(rdn_digit_add_n1_n3_n4_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n3),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n3_n4_n0) ).

fof(rdn_digit_add_n1_n2_n3_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n2),rdnn(n3),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n2_n3_n0) ).

fof(rdn_digit_add_n1_n1_n2_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n1),rdnn(n2),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n1_n2_n0) ).

fof(rdn_digit_add_n1_n0_n1_n0,axiom,
    rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n1_n0_n1_n0) ).

fof(rdn_digit_add_n0_n9_n9_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n9),rdnn(n9),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n9_n9_n0) ).

fof(rdn_digit_add_n0_n8_n8_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n8),rdnn(n8),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n8_n8_n0) ).

fof(rdn_digit_add_n0_n7_n7_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n7),rdnn(n7),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n7_n7_n0) ).

fof(rdn_digit_add_n0_n6_n6_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n6),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n6_n6_n0) ).

fof(rdn_digit_add_n0_n5_n5_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n5),rdnn(n5),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n5_n5_n0) ).

fof(rdn_digit_add_n0_n4_n4_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n4_n4_n0) ).

fof(rdn_digit_add_n0_n3_n3_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n3),rdnn(n3),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n3_n3_n0) ).

fof(rdn_digit_add_n0_n2_n2_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(n2),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n2_n2_n0) ).

fof(rdn_digit_add_n0_n1_n1_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n1_n1_n0) ).

fof(rdn_digit_add_n0_n0_n0_n0,axiom,
    rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n0_n0_n0_n0) ).

fof(rdnn128,axiom,
    rdn_translate(nn128,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn128) ).

fof(rdnn127,axiom,
    rdn_translate(nn127,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn127) ).

fof(rdnn126,axiom,
    rdn_translate(nn126,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn126) ).

fof(rdnn125,axiom,
    rdn_translate(nn125,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn125) ).

fof(rdnn124,axiom,
    rdn_translate(nn124,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn124) ).

fof(rdnn123,axiom,
    rdn_translate(nn123,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn123) ).

fof(rdnn122,axiom,
    rdn_translate(nn122,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn122) ).

fof(rdnn121,axiom,
    rdn_translate(nn121,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn121) ).

fof(rdnn120,axiom,
    rdn_translate(nn120,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn120) ).

fof(rdnn119,axiom,
    rdn_translate(nn119,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn119) ).

fof(rdnn118,axiom,
    rdn_translate(nn118,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn118) ).

fof(rdnn117,axiom,
    rdn_translate(nn117,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn117) ).

fof(rdnn116,axiom,
    rdn_translate(nn116,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn116) ).

fof(rdnn115,axiom,
    rdn_translate(nn115,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn115) ).

fof(rdnn114,axiom,
    rdn_translate(nn114,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn114) ).

fof(rdnn113,axiom,
    rdn_translate(nn113,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn113) ).

fof(rdnn112,axiom,
    rdn_translate(nn112,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn112) ).

fof(rdnn111,axiom,
    rdn_translate(nn111,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn111) ).

fof(rdnn110,axiom,
    rdn_translate(nn110,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn110) ).

fof(rdnn109,axiom,
    rdn_translate(nn109,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn109) ).

fof(rdnn108,axiom,
    rdn_translate(nn108,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn108) ).

fof(rdnn107,axiom,
    rdn_translate(nn107,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn107) ).

fof(rdnn106,axiom,
    rdn_translate(nn106,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn106) ).

fof(rdnn105,axiom,
    rdn_translate(nn105,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn105) ).

fof(rdnn104,axiom,
    rdn_translate(nn104,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn104) ).

fof(rdnn103,axiom,
    rdn_translate(nn103,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn103) ).

fof(rdnn102,axiom,
    rdn_translate(nn102,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn102) ).

fof(rdnn101,axiom,
    rdn_translate(nn101,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn101) ).

fof(rdnn100,axiom,
    rdn_translate(nn100,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn100) ).

fof(rdn127,axiom,
    rdn_translate(n127,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn127) ).

fof(rdn126,axiom,
    rdn_translate(n126,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn126) ).

fof(rdn125,axiom,
    rdn_translate(n125,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn125) ).

fof(rdn124,axiom,
    rdn_translate(n124,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn124) ).

fof(rdn123,axiom,
    rdn_translate(n123,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn123) ).

fof(rdn122,axiom,
    rdn_translate(n122,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn122) ).

fof(rdn121,axiom,
    rdn_translate(n121,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn121) ).

fof(rdn120,axiom,
    rdn_translate(n120,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn120) ).

fof(rdn119,axiom,
    rdn_translate(n119,rdn_pos(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn119) ).

fof(rdn118,axiom,
    rdn_translate(n118,rdn_pos(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn118) ).

fof(rdn117,axiom,
    rdn_translate(n117,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn117) ).

fof(rdn116,axiom,
    rdn_translate(n116,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn116) ).

fof(rdn115,axiom,
    rdn_translate(n115,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn115) ).

fof(rdn114,axiom,
    rdn_translate(n114,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn114) ).

fof(rdn113,axiom,
    rdn_translate(n113,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn113) ).

fof(rdn112,axiom,
    rdn_translate(n112,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn112) ).

fof(rdn111,axiom,
    rdn_translate(n111,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn111) ).

fof(rdn110,axiom,
    rdn_translate(n110,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn110) ).

fof(rdn109,axiom,
    rdn_translate(n109,rdn_pos(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn109) ).

fof(rdn108,axiom,
    rdn_translate(n108,rdn_pos(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn108) ).

fof(rdn107,axiom,
    rdn_translate(n107,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn107) ).

fof(rdn106,axiom,
    rdn_translate(n106,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn106) ).

fof(rdn105,axiom,
    rdn_translate(n105,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn105) ).

fof(rdn104,axiom,
    rdn_translate(n104,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn104) ).

fof(rdn103,axiom,
    rdn_translate(n103,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn103) ).

fof(rdn102,axiom,
    rdn_translate(n102,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn102) ).

fof(rdn101,axiom,
    rdn_translate(n101,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn101) ).

fof(rdn100,axiom,
    rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn100) ).

fof(rdnn99,axiom,
    rdn_translate(nn99,rdn_neg(rdn(rdnn(n9),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn99) ).

fof(rdnn98,axiom,
    rdn_translate(nn98,rdn_neg(rdn(rdnn(n8),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn98) ).

fof(rdnn97,axiom,
    rdn_translate(nn97,rdn_neg(rdn(rdnn(n7),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn97) ).

fof(rdnn96,axiom,
    rdn_translate(nn96,rdn_neg(rdn(rdnn(n6),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn96) ).

fof(rdnn95,axiom,
    rdn_translate(nn95,rdn_neg(rdn(rdnn(n5),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn95) ).

fof(rdnn94,axiom,
    rdn_translate(nn94,rdn_neg(rdn(rdnn(n4),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn94) ).

fof(rdnn93,axiom,
    rdn_translate(nn93,rdn_neg(rdn(rdnn(n3),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn93) ).

fof(rdnn92,axiom,
    rdn_translate(nn92,rdn_neg(rdn(rdnn(n2),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn92) ).

fof(rdnn91,axiom,
    rdn_translate(nn91,rdn_neg(rdn(rdnn(n1),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn91) ).

fof(rdnn90,axiom,
    rdn_translate(nn90,rdn_neg(rdn(rdnn(n0),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn90) ).

fof(rdnn89,axiom,
    rdn_translate(nn89,rdn_neg(rdn(rdnn(n9),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn89) ).

fof(rdnn88,axiom,
    rdn_translate(nn88,rdn_neg(rdn(rdnn(n8),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn88) ).

fof(rdnn87,axiom,
    rdn_translate(nn87,rdn_neg(rdn(rdnn(n7),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn87) ).

fof(rdnn86,axiom,
    rdn_translate(nn86,rdn_neg(rdn(rdnn(n6),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn86) ).

fof(rdnn85,axiom,
    rdn_translate(nn85,rdn_neg(rdn(rdnn(n5),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn85) ).

fof(rdnn84,axiom,
    rdn_translate(nn84,rdn_neg(rdn(rdnn(n4),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn84) ).

fof(rdnn83,axiom,
    rdn_translate(nn83,rdn_neg(rdn(rdnn(n3),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn83) ).

fof(rdnn82,axiom,
    rdn_translate(nn82,rdn_neg(rdn(rdnn(n2),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn82) ).

fof(rdnn81,axiom,
    rdn_translate(nn81,rdn_neg(rdn(rdnn(n1),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn81) ).

fof(rdnn80,axiom,
    rdn_translate(nn80,rdn_neg(rdn(rdnn(n0),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn80) ).

fof(rdnn79,axiom,
    rdn_translate(nn79,rdn_neg(rdn(rdnn(n9),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn79) ).

fof(rdnn78,axiom,
    rdn_translate(nn78,rdn_neg(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn78) ).

fof(rdnn77,axiom,
    rdn_translate(nn77,rdn_neg(rdn(rdnn(n7),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn77) ).

fof(rdnn76,axiom,
    rdn_translate(nn76,rdn_neg(rdn(rdnn(n6),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn76) ).

fof(rdnn75,axiom,
    rdn_translate(nn75,rdn_neg(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn75) ).

fof(rdnn74,axiom,
    rdn_translate(nn74,rdn_neg(rdn(rdnn(n4),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn74) ).

fof(rdnn73,axiom,
    rdn_translate(nn73,rdn_neg(rdn(rdnn(n3),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn73) ).

fof(rdnn72,axiom,
    rdn_translate(nn72,rdn_neg(rdn(rdnn(n2),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn72) ).

fof(rdnn71,axiom,
    rdn_translate(nn71,rdn_neg(rdn(rdnn(n1),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn71) ).

fof(rdnn70,axiom,
    rdn_translate(nn70,rdn_neg(rdn(rdnn(n0),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn70) ).

fof(rdnn69,axiom,
    rdn_translate(nn69,rdn_neg(rdn(rdnn(n9),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn69) ).

fof(rdnn68,axiom,
    rdn_translate(nn68,rdn_neg(rdn(rdnn(n8),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn68) ).

fof(rdnn67,axiom,
    rdn_translate(nn67,rdn_neg(rdn(rdnn(n7),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn67) ).

fof(rdnn66,axiom,
    rdn_translate(nn66,rdn_neg(rdn(rdnn(n6),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn66) ).

fof(rdnn65,axiom,
    rdn_translate(nn65,rdn_neg(rdn(rdnn(n5),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn65) ).

fof(rdnn64,axiom,
    rdn_translate(nn64,rdn_neg(rdn(rdnn(n4),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn64) ).

fof(rdnn63,axiom,
    rdn_translate(nn63,rdn_neg(rdn(rdnn(n3),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn63) ).

fof(rdnn62,axiom,
    rdn_translate(nn62,rdn_neg(rdn(rdnn(n2),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn62) ).

fof(rdnn61,axiom,
    rdn_translate(nn61,rdn_neg(rdn(rdnn(n1),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn61) ).

fof(rdnn60,axiom,
    rdn_translate(nn60,rdn_neg(rdn(rdnn(n0),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn60) ).

fof(rdnn59,axiom,
    rdn_translate(nn59,rdn_neg(rdn(rdnn(n9),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn59) ).

fof(rdnn58,axiom,
    rdn_translate(nn58,rdn_neg(rdn(rdnn(n8),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn58) ).

fof(rdnn57,axiom,
    rdn_translate(nn57,rdn_neg(rdn(rdnn(n7),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn57) ).

fof(rdnn56,axiom,
    rdn_translate(nn56,rdn_neg(rdn(rdnn(n6),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn56) ).

fof(rdnn55,axiom,
    rdn_translate(nn55,rdn_neg(rdn(rdnn(n5),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn55) ).

fof(rdnn54,axiom,
    rdn_translate(nn54,rdn_neg(rdn(rdnn(n4),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn54) ).

fof(rdnn53,axiom,
    rdn_translate(nn53,rdn_neg(rdn(rdnn(n3),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn53) ).

fof(rdnn52,axiom,
    rdn_translate(nn52,rdn_neg(rdn(rdnn(n2),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn52) ).

fof(rdnn51,axiom,
    rdn_translate(nn51,rdn_neg(rdn(rdnn(n1),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn51) ).

fof(rdnn50,axiom,
    rdn_translate(nn50,rdn_neg(rdn(rdnn(n0),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn50) ).

fof(rdnn49,axiom,
    rdn_translate(nn49,rdn_neg(rdn(rdnn(n9),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn49) ).

fof(rdnn48,axiom,
    rdn_translate(nn48,rdn_neg(rdn(rdnn(n8),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn48) ).

fof(rdnn47,axiom,
    rdn_translate(nn47,rdn_neg(rdn(rdnn(n7),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn47) ).

fof(rdnn46,axiom,
    rdn_translate(nn46,rdn_neg(rdn(rdnn(n6),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn46) ).

fof(rdnn45,axiom,
    rdn_translate(nn45,rdn_neg(rdn(rdnn(n5),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn45) ).

fof(rdnn44,axiom,
    rdn_translate(nn44,rdn_neg(rdn(rdnn(n4),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn44) ).

fof(rdnn43,axiom,
    rdn_translate(nn43,rdn_neg(rdn(rdnn(n3),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn43) ).

fof(rdnn42,axiom,
    rdn_translate(nn42,rdn_neg(rdn(rdnn(n2),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn42) ).

fof(rdnn41,axiom,
    rdn_translate(nn41,rdn_neg(rdn(rdnn(n1),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn41) ).

fof(rdnn40,axiom,
    rdn_translate(nn40,rdn_neg(rdn(rdnn(n0),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn40) ).

fof(rdnn39,axiom,
    rdn_translate(nn39,rdn_neg(rdn(rdnn(n9),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn39) ).

fof(rdnn38,axiom,
    rdn_translate(nn38,rdn_neg(rdn(rdnn(n8),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn38) ).

fof(rdnn37,axiom,
    rdn_translate(nn37,rdn_neg(rdn(rdnn(n7),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn37) ).

fof(rdnn36,axiom,
    rdn_translate(nn36,rdn_neg(rdn(rdnn(n6),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn36) ).

fof(rdnn35,axiom,
    rdn_translate(nn35,rdn_neg(rdn(rdnn(n5),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn35) ).

fof(rdnn34,axiom,
    rdn_translate(nn34,rdn_neg(rdn(rdnn(n4),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn34) ).

fof(rdnn33,axiom,
    rdn_translate(nn33,rdn_neg(rdn(rdnn(n3),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn33) ).

fof(rdnn32,axiom,
    rdn_translate(nn32,rdn_neg(rdn(rdnn(n2),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn32) ).

fof(rdnn31,axiom,
    rdn_translate(nn31,rdn_neg(rdn(rdnn(n1),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn31) ).

fof(rdnn30,axiom,
    rdn_translate(nn30,rdn_neg(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn30) ).

fof(rdnn29,axiom,
    rdn_translate(nn29,rdn_neg(rdn(rdnn(n9),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn29) ).

fof(rdnn28,axiom,
    rdn_translate(nn28,rdn_neg(rdn(rdnn(n8),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn28) ).

fof(rdnn27,axiom,
    rdn_translate(nn27,rdn_neg(rdn(rdnn(n7),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn27) ).

fof(rdnn26,axiom,
    rdn_translate(nn26,rdn_neg(rdn(rdnn(n6),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn26) ).

fof(rdnn25,axiom,
    rdn_translate(nn25,rdn_neg(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn25) ).

fof(rdnn24,axiom,
    rdn_translate(nn24,rdn_neg(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn24) ).

fof(rdnn23,axiom,
    rdn_translate(nn23,rdn_neg(rdn(rdnn(n3),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn23) ).

fof(rdnn22,axiom,
    rdn_translate(nn22,rdn_neg(rdn(rdnn(n2),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn22) ).

fof(rdnn21,axiom,
    rdn_translate(nn21,rdn_neg(rdn(rdnn(n1),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn21) ).

fof(rdnn20,axiom,
    rdn_translate(nn20,rdn_neg(rdn(rdnn(n0),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn20) ).

fof(rdnn19,axiom,
    rdn_translate(nn19,rdn_neg(rdn(rdnn(n9),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn19) ).

fof(rdnn18,axiom,
    rdn_translate(nn18,rdn_neg(rdn(rdnn(n8),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn18) ).

fof(rdnn17,axiom,
    rdn_translate(nn17,rdn_neg(rdn(rdnn(n7),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn17) ).

fof(rdnn16,axiom,
    rdn_translate(nn16,rdn_neg(rdn(rdnn(n6),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn16) ).

fof(rdnn15,axiom,
    rdn_translate(nn15,rdn_neg(rdn(rdnn(n5),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn15) ).

fof(rdnn14,axiom,
    rdn_translate(nn14,rdn_neg(rdn(rdnn(n4),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn14) ).

fof(rdnn13,axiom,
    rdn_translate(nn13,rdn_neg(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn13) ).

fof(rdnn12,axiom,
    rdn_translate(nn12,rdn_neg(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn12) ).

fof(rdnn11,axiom,
    rdn_translate(nn11,rdn_neg(rdn(rdnn(n1),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn11) ).

fof(rdnn10,axiom,
    rdn_translate(nn10,rdn_neg(rdn(rdnn(n0),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn10) ).

fof(rdn99,axiom,
    rdn_translate(n99,rdn_pos(rdn(rdnn(n9),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn99) ).

fof(rdn98,axiom,
    rdn_translate(n98,rdn_pos(rdn(rdnn(n8),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn98) ).

fof(rdn97,axiom,
    rdn_translate(n97,rdn_pos(rdn(rdnn(n7),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn97) ).

fof(rdn96,axiom,
    rdn_translate(n96,rdn_pos(rdn(rdnn(n6),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn96) ).

fof(rdn95,axiom,
    rdn_translate(n95,rdn_pos(rdn(rdnn(n5),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn95) ).

fof(rdn94,axiom,
    rdn_translate(n94,rdn_pos(rdn(rdnn(n4),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn94) ).

fof(rdn93,axiom,
    rdn_translate(n93,rdn_pos(rdn(rdnn(n3),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn93) ).

fof(rdn92,axiom,
    rdn_translate(n92,rdn_pos(rdn(rdnn(n2),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn92) ).

fof(rdn91,axiom,
    rdn_translate(n91,rdn_pos(rdn(rdnn(n1),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn91) ).

fof(rdn90,axiom,
    rdn_translate(n90,rdn_pos(rdn(rdnn(n0),rdnn(n9)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn90) ).

fof(rdn89,axiom,
    rdn_translate(n89,rdn_pos(rdn(rdnn(n9),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn89) ).

fof(rdn88,axiom,
    rdn_translate(n88,rdn_pos(rdn(rdnn(n8),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn88) ).

fof(rdn87,axiom,
    rdn_translate(n87,rdn_pos(rdn(rdnn(n7),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn87) ).

fof(rdn86,axiom,
    rdn_translate(n86,rdn_pos(rdn(rdnn(n6),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn86) ).

fof(rdn85,axiom,
    rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn85) ).

fof(rdn84,axiom,
    rdn_translate(n84,rdn_pos(rdn(rdnn(n4),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn84) ).

fof(rdn83,axiom,
    rdn_translate(n83,rdn_pos(rdn(rdnn(n3),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn83) ).

fof(rdn82,axiom,
    rdn_translate(n82,rdn_pos(rdn(rdnn(n2),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn82) ).

fof(rdn81,axiom,
    rdn_translate(n81,rdn_pos(rdn(rdnn(n1),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn81) ).

fof(rdn80,axiom,
    rdn_translate(n80,rdn_pos(rdn(rdnn(n0),rdnn(n8)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn80) ).

fof(rdn79,axiom,
    rdn_translate(n79,rdn_pos(rdn(rdnn(n9),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn79) ).

fof(rdn78,axiom,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn78) ).

fof(rdn77,axiom,
    rdn_translate(n77,rdn_pos(rdn(rdnn(n7),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn77) ).

fof(rdn76,axiom,
    rdn_translate(n76,rdn_pos(rdn(rdnn(n6),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn76) ).

fof(rdn75,axiom,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn75) ).

fof(rdn74,axiom,
    rdn_translate(n74,rdn_pos(rdn(rdnn(n4),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn74) ).

fof(rdn73,axiom,
    rdn_translate(n73,rdn_pos(rdn(rdnn(n3),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn73) ).

fof(rdn72,axiom,
    rdn_translate(n72,rdn_pos(rdn(rdnn(n2),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn72) ).

fof(rdn71,axiom,
    rdn_translate(n71,rdn_pos(rdn(rdnn(n1),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn71) ).

fof(rdn70,axiom,
    rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn70) ).

fof(rdn69,axiom,
    rdn_translate(n69,rdn_pos(rdn(rdnn(n9),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn69) ).

fof(rdn68,axiom,
    rdn_translate(n68,rdn_pos(rdn(rdnn(n8),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn68) ).

fof(rdn67,axiom,
    rdn_translate(n67,rdn_pos(rdn(rdnn(n7),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn67) ).

fof(rdn66,axiom,
    rdn_translate(n66,rdn_pos(rdn(rdnn(n6),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn66) ).

fof(rdn65,axiom,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn65) ).

fof(rdn64,axiom,
    rdn_translate(n64,rdn_pos(rdn(rdnn(n4),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn64) ).

fof(rdn63,axiom,
    rdn_translate(n63,rdn_pos(rdn(rdnn(n3),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn63) ).

fof(rdn62,axiom,
    rdn_translate(n62,rdn_pos(rdn(rdnn(n2),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn62) ).

fof(rdn61,axiom,
    rdn_translate(n61,rdn_pos(rdn(rdnn(n1),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn61) ).

fof(rdn60,axiom,
    rdn_translate(n60,rdn_pos(rdn(rdnn(n0),rdnn(n6)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn60) ).

fof(rdn59,axiom,
    rdn_translate(n59,rdn_pos(rdn(rdnn(n9),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn59) ).

fof(rdn58,axiom,
    rdn_translate(n58,rdn_pos(rdn(rdnn(n8),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn58) ).

fof(rdn57,axiom,
    rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn57) ).

fof(rdn56,axiom,
    rdn_translate(n56,rdn_pos(rdn(rdnn(n6),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn56) ).

fof(rdn55,axiom,
    rdn_translate(n55,rdn_pos(rdn(rdnn(n5),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn55) ).

fof(rdn54,axiom,
    rdn_translate(n54,rdn_pos(rdn(rdnn(n4),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn54) ).

fof(rdn53,axiom,
    rdn_translate(n53,rdn_pos(rdn(rdnn(n3),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn53) ).

fof(rdn52,axiom,
    rdn_translate(n52,rdn_pos(rdn(rdnn(n2),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn52) ).

fof(rdn51,axiom,
    rdn_translate(n51,rdn_pos(rdn(rdnn(n1),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn51) ).

fof(rdn50,axiom,
    rdn_translate(n50,rdn_pos(rdn(rdnn(n0),rdnn(n5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn50) ).

fof(rdn49,axiom,
    rdn_translate(n49,rdn_pos(rdn(rdnn(n9),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn49) ).

fof(rdn48,axiom,
    rdn_translate(n48,rdn_pos(rdn(rdnn(n8),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn48) ).

fof(rdn47,axiom,
    rdn_translate(n47,rdn_pos(rdn(rdnn(n7),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn47) ).

fof(rdn46,axiom,
    rdn_translate(n46,rdn_pos(rdn(rdnn(n6),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn46) ).

fof(rdn45,axiom,
    rdn_translate(n45,rdn_pos(rdn(rdnn(n5),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn45) ).

fof(rdn44,axiom,
    rdn_translate(n44,rdn_pos(rdn(rdnn(n4),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn44) ).

fof(rdn43,axiom,
    rdn_translate(n43,rdn_pos(rdn(rdnn(n3),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn43) ).

fof(rdn42,axiom,
    rdn_translate(n42,rdn_pos(rdn(rdnn(n2),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn42) ).

fof(rdn41,axiom,
    rdn_translate(n41,rdn_pos(rdn(rdnn(n1),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn41) ).

fof(rdn40,axiom,
    rdn_translate(n40,rdn_pos(rdn(rdnn(n0),rdnn(n4)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn40) ).

fof(rdn39,axiom,
    rdn_translate(n39,rdn_pos(rdn(rdnn(n9),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn39) ).

fof(rdn38,axiom,
    rdn_translate(n38,rdn_pos(rdn(rdnn(n8),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn38) ).

fof(rdn37,axiom,
    rdn_translate(n37,rdn_pos(rdn(rdnn(n7),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn37) ).

fof(rdn36,axiom,
    rdn_translate(n36,rdn_pos(rdn(rdnn(n6),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn36) ).

fof(rdn35,axiom,
    rdn_translate(n35,rdn_pos(rdn(rdnn(n5),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn35) ).

fof(rdn34,axiom,
    rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn34) ).

fof(rdn33,axiom,
    rdn_translate(n33,rdn_pos(rdn(rdnn(n3),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn33) ).

fof(rdn32,axiom,
    rdn_translate(n32,rdn_pos(rdn(rdnn(n2),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn32) ).

fof(rdn31,axiom,
    rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn31) ).

fof(rdn30,axiom,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn30) ).

fof(rdn29,axiom,
    rdn_translate(n29,rdn_pos(rdn(rdnn(n9),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn29) ).

fof(rdn28,axiom,
    rdn_translate(n28,rdn_pos(rdn(rdnn(n8),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn28) ).

fof(rdn27,axiom,
    rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn27) ).

fof(rdn26,axiom,
    rdn_translate(n26,rdn_pos(rdn(rdnn(n6),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn26) ).

fof(rdn25,axiom,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn25) ).

fof(rdn24,axiom,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn24) ).

fof(rdn23,axiom,
    rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn23) ).

fof(rdn22,axiom,
    rdn_translate(n22,rdn_pos(rdn(rdnn(n2),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn22) ).

fof(rdn21,axiom,
    rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn21) ).

fof(rdn20,axiom,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn20) ).

fof(rdn19,axiom,
    rdn_translate(n19,rdn_pos(rdn(rdnn(n9),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn19) ).

fof(rdn18,axiom,
    rdn_translate(n18,rdn_pos(rdn(rdnn(n8),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn18) ).

fof(rdn17,axiom,
    rdn_translate(n17,rdn_pos(rdn(rdnn(n7),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn17) ).

fof(rdn16,axiom,
    rdn_translate(n16,rdn_pos(rdn(rdnn(n6),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn16) ).

fof(rdn15,axiom,
    rdn_translate(n15,rdn_pos(rdn(rdnn(n5),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn15) ).

fof(rdn14,axiom,
    rdn_translate(n14,rdn_pos(rdn(rdnn(n4),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn14) ).

fof(rdn13,axiom,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn13) ).

fof(rdn12,axiom,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn12) ).

fof(rdn11,axiom,
    rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn11) ).

fof(rdn10,axiom,
    rdn_translate(n10,rdn_pos(rdn(rdnn(n0),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn10) ).

fof(rdnn9,axiom,
    rdn_translate(nn9,rdn_neg(rdnn(n9))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn9) ).

fof(rdnn8,axiom,
    rdn_translate(nn8,rdn_neg(rdnn(n8))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn8) ).

fof(rdnn7,axiom,
    rdn_translate(nn7,rdn_neg(rdnn(n7))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn7) ).

fof(rdnn6,axiom,
    rdn_translate(nn6,rdn_neg(rdnn(n6))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn6) ).

fof(rdnn5,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn5) ).

fof(rdnn4,axiom,
    rdn_translate(nn4,rdn_neg(rdnn(n4))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn4) ).

fof(rdnn3,axiom,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn3) ).

fof(rdnn2,axiom,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn2) ).

fof(rdnn1,axiom,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn1) ).

fof(rdn9,axiom,
    rdn_translate(n9,rdn_pos(rdnn(n9))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn9) ).

fof(rdn8,axiom,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn8) ).

fof(rdn7,axiom,
    rdn_translate(n7,rdn_pos(rdnn(n7))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn7) ).

fof(rdn6,axiom,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn6) ).

fof(rdn5,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn5) ).

fof(rdn4,axiom,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn4) ).

fof(rdn3,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).

fof(rdn2,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn2) ).

fof(rdn1,axiom,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn1) ).

fof(rdn0,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn0) ).

fof(rdn_positive_less89,axiom,
    rdn_positive_less(rdnn(n8),rdnn(n9)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less89) ).

fof(rdn_positive_less78,axiom,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less78) ).

fof(rdn_positive_less67,axiom,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less67) ).

fof(rdn_positive_less56,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).

fof(rdn_positive_less45,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).

fof(rdn_positive_less34,axiom,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).

fof(rdn_positive_less23,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).

fof(rdn_positive_less12,axiom,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less12) ).

fof(rdn_positive_less01,axiom,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less01) ).

fof(rdn_digit9,axiom,
    rdn_non_zero_digit(rdnn(n9)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit9) ).

fof(rdn_digit8,axiom,
    rdn_non_zero_digit(rdnn(n8)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit8) ).

fof(rdn_digit7,axiom,
    rdn_non_zero_digit(rdnn(n7)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit7) ).

fof(rdn_digit6,axiom,
    rdn_non_zero_digit(rdnn(n6)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit6) ).

fof(rdn_digit5,axiom,
    rdn_non_zero_digit(rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit5) ).

fof(rdn_digit4,axiom,
    rdn_non_zero_digit(rdnn(n4)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit4) ).

fof(rdn_digit3,axiom,
    rdn_non_zero_digit(rdnn(n3)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit3) ).

fof(rdn_digit2,axiom,
    rdn_non_zero_digit(rdnn(n2)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit2) ).

fof(rdn_digit1,axiom,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit1) ).

fof(i_0_402,negated_conjecture,
    ~ ? [X1] : difference(X1,n0,X1),
    inference(assume_negation,[status(cth)],[diff_zero_identity]) ).

fof(i_0_403,plain,
    ! [X1,X2] :
      ( less(X1,X2)
    <=> ( ~ less(X2,X1)
        & X2 != X1 ) ),
    inference(fof_simplification,[status(thm)],[less_property]) ).

fof(i_0_404,plain,
    ! [X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269] :
      ( ~ rdn_digit_add(rdnn(X260),rdnn(X262),rdnn(X266),rdnn(X267))
      | ~ rdn_digit_add(rdnn(X266),rdnn(X259),rdnn(X264),rdnn(X268))
      | ~ rdn_digit_add(rdnn(X267),rdnn(X268),rdnn(X269),rdnn(n0))
      | ~ rdn_add_with_carry(rdnn(X269),X261,X263,X265)
      | ~ rdn_non_zero(X261)
      | ~ rdn_non_zero(X263)
      | ~ rdn_non_zero(X265)
      | rdn_add_with_carry(rdnn(X259),rdn(rdnn(X260),X261),rdn(rdnn(X262),X263),rdn(rdnn(X264),X265)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_rdn_rdn_rdn])]) ).

fof(i_0_405,plain,
    ! [X249,X250,X251,X252,X253,X254,X255,X256,X257,X258] :
      ( ~ rdn_digit_add(rdnn(X250),rdnn(X251),rdnn(X255),rdnn(X256))
      | ~ rdn_digit_add(rdnn(X255),rdnn(X249),rdnn(X253),rdnn(X257))
      | ~ rdn_digit_add(rdnn(X256),rdnn(X257),rdnn(X258),rdnn(n0))
      | ~ rdn_add_with_carry(rdnn(X258),rdnn(n0),X252,X254)
      | ~ rdn_non_zero(X252)
      | ~ rdn_non_zero(X254)
      | rdn_add_with_carry(rdnn(X249),rdnn(X250),rdn(rdnn(X251),X252),rdn(rdnn(X253),X254)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_rdn_rdn])]) ).

fof(i_0_406,plain,
    ! [X242,X243,X244,X245,X246,X247,X248] :
      ( ~ rdn_digit_add(rdnn(X243),rdnn(X244),rdnn(X245),rdnn(X247))
      | ~ rdn_digit_add(rdnn(X245),rdnn(X242),rdnn(X246),rdnn(X248))
      | ~ rdn_digit_add(rdnn(X247),rdnn(X248),rdnn(n1),rdnn(n0))
      | rdn_add_with_carry(rdnn(X242),rdnn(X243),rdnn(X244),rdn(rdnn(X246),rdnn(n1))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_rdn])]) ).

fof(i_0_407,plain,
    ! [X237,X238,X239,X240,X241] :
      ( ~ rdn_digit_add(rdnn(X238),rdnn(X239),rdnn(X241),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X241),rdnn(X237),rdnn(X240),rdnn(n0))
      | rdn_add_with_carry(rdnn(X237),rdnn(X238),rdnn(X239),rdnn(X240)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_digit])]) ).

fof(i_0_408,plain,
    ! [X270,X271,X272,X273,X274,X275] :
      ( ~ rdn_add_with_carry(rdnn(X270),rdnn(X273),rdn(rdnn(X271),X272),rdn(rdnn(X274),X275))
      | rdn_add_with_carry(rdnn(X270),rdn(rdnn(X271),X272),rdnn(X273),rdn(rdnn(X274),X275)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_rdn_digit_rdn])]) ).

fof(i_0_409,plain,
    ! [X202,X203,X204,X205,X206,X207] :
      ( ~ rdn_translate(X202,rdn_pos(X205))
      | ~ rdn_translate(X203,rdn_neg(X206))
      | ~ rdn_positive_less(X205,X206)
      | ~ rdn_add_with_carry(rdnn(n0),X205,X207,X206)
      | ~ rdn_translate(X204,rdn_neg(X207))
      | sum(X202,X203,X204) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_neg_1])]) ).

fof(i_0_410,plain,
    ! [X208,X209,X210,X211,X212,X213] :
      ( ~ rdn_translate(X208,rdn_pos(X211))
      | ~ rdn_translate(X209,rdn_neg(X212))
      | ~ rdn_positive_less(X212,X211)
      | ~ rdn_add_with_carry(rdnn(n0),X212,X213,X211)
      | ~ rdn_translate(X210,rdn_pos(X213))
      | sum(X208,X209,X210) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_neg_2])]) ).

fof(i_0_411,plain,
    ! [X196,X197,X198,X199,X200,X201] :
      ( ~ rdn_translate(X196,rdn_neg(X199))
      | ~ rdn_translate(X197,rdn_neg(X200))
      | ~ rdn_add_with_carry(rdnn(n0),X199,X200,X201)
      | ~ rdn_translate(X198,rdn_neg(X201))
      | sum(X196,X197,X198) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_neg_neg])]) ).

fof(i_0_412,plain,
    ! [X190,X191,X192,X193,X194,X195] :
      ( ~ rdn_translate(X190,rdn_pos(X193))
      | ~ rdn_translate(X191,rdn_pos(X194))
      | ~ rdn_add_with_carry(rdnn(n0),X193,X194,X195)
      | ~ rdn_translate(X192,rdn_pos(X195))
      | sum(X190,X191,X192) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_pos])]) ).

fof(i_0_413,plain,
    ! [X217,X218,X219,X220,X221] :
      ( ~ rdn_translate(X217,rdn_neg(X220))
      | ~ rdn_translate(X218,rdn_pos(X221))
      | ~ sum(X218,X217,X219)
      | sum(X217,X218,X219) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_neg_pos])]) ).

fof(i_0_414,plain,
    ! [X226,X227,X228,X229] :
      ( ~ sum(X226,X228,X229)
      | ~ sum(X227,X228,X229)
      | X226 = X227 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_LHS])]) ).

fof(i_0_415,plain,
    ! [X230,X231,X232,X233] :
      ( ~ sum(X230,X231,X233)
      | ~ sum(X230,X232,X233)
      | X231 = X232 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_RHS])]) ).

fof(i_0_416,plain,
    ! [X222,X223,X224,X225] :
      ( ~ sum(X222,X223,X224)
      | ~ sum(X222,X223,X225)
      | X224 = X225 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_sum])]) ).

fof(i_0_417,plain,
    ! [X234,X235,X236] :
      ( ( ~ sum(X235,X236,X234)
        | difference(X234,X235,X236) )
      & ( ~ difference(X234,X235,X236)
        | sum(X235,X236,X234) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[minus_entry_point])]) ).

fof(i_0_418,plain,
    ! [X162,X163,X164] :
      ( ~ rdn_positive_less(rdnn(X162),rdnn(X164))
      | ~ rdn_non_zero(X163)
      | rdn_positive_less(rdn(rdnn(X162),X163),rdn(rdnn(X164),X163)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])]) ).

fof(i_0_419,plain,
    ! [X187,X188,X189] :
      ( ~ sum(X187,n1,X188)
      | ~ less(X189,X188)
      | less_or_equal(X189,X187) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_successor])]) ).

fof(i_0_420,plain,
    ! [X214,X215,X216] :
      ( ~ rdn_translate(X214,rdn_pos(X216))
      | ~ rdn_translate(X215,rdn_neg(X216))
      | sum(X214,X215,n0) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_posx_negx])]) ).

fof(i_0_421,plain,
    ! [X158,X159,X160,X161] :
      ( ~ rdn_positive_less(X159,X161)
      | rdn_positive_less(rdn(rdnn(X158),X159),rdn(rdnn(X160),X161)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_high])]) ).

fof(i_0_422,plain,
    ! [X155,X156,X157] :
      ( ~ rdn_positive_less(rdnn(X155),rdnn(X156))
      | ~ rdn_positive_less(rdnn(X156),rdnn(X157))
      | rdn_positive_less(rdnn(X155),rdnn(X157)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])]) ).

fof(i_0_423,plain,
    ! [X171,X172,X173,X174] :
      ( ~ rdn_translate(X171,rdn_pos(X173))
      | ~ rdn_translate(X172,rdn_pos(X174))
      | ~ rdn_positive_less(X173,X174)
      | less(X171,X172) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).

fof(i_0_424,plain,
    ! [X179,X180,X181,X182] :
      ( ~ rdn_translate(X179,rdn_neg(X181))
      | ~ rdn_translate(X180,rdn_neg(X182))
      | ~ rdn_positive_less(X182,X181)
      | less(X179,X180) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_neg])]) ).

fof(i_0_425,negated_conjecture,
    ! [X276] : ~ difference(X276,n0,X276),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_402])]) ).

fof(i_0_426,plain,
    ! [X175,X176,X177,X178] :
      ( ~ rdn_translate(X175,rdn_neg(X177))
      | ~ rdn_translate(X176,rdn_pos(X178))
      | less(X175,X176) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_pos])]) ).

fof(i_0_427,plain,
    ! [X165,X166,X167] :
      ( ~ rdn_non_zero(X167)
      | rdn_positive_less(rdnn(X165),rdn(rdnn(X166),X167)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).

fof(i_0_428,plain,
    ! [X169,X170] :
      ( ~ rdn_non_zero(X170)
      | rdn_non_zero(rdn(rdnn(X169),X170)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_structure])]) ).

fof(i_0_429,plain,
    ! [X183,X184] :
      ( ( ~ less(X184,X183)
        | ~ less(X183,X184) )
      & ( X184 != X183
        | ~ less(X183,X184) )
      & ( less(X184,X183)
        | X184 = X183
        | less(X183,X184) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_403])])]) ).

fof(i_0_430,plain,
    ! [X185,X186] :
      ( ( ~ less_or_equal(X185,X186)
        | less(X185,X186)
        | X185 = X186 )
      & ( ~ less(X185,X186)
        | less_or_equal(X185,X186) )
      & ( X185 != X186
        | less_or_equal(X185,X186) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).

fof(i_0_431,plain,
    ! [X168] :
      ( ~ rdn_non_zero_digit(rdnn(X168))
      | rdn_non_zero(rdnn(X168)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).

cnf(i_0_432,plain,
    ( rdn_add_with_carry(rdnn(X5),rdn(rdnn(X1),X9),rdn(rdnn(X2),X10),rdn(rdnn(X6),X11))
    | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X5),rdnn(X6),rdnn(X7))
    | ~ rdn_digit_add(rdnn(X4),rdnn(X7),rdnn(X8),rdnn(n0))
    | ~ rdn_add_with_carry(rdnn(X8),X9,X10,X11)
    | ~ rdn_non_zero(X9)
    | ~ rdn_non_zero(X10)
    | ~ rdn_non_zero(X11) ),
    inference(split_conjunct,[status(thm)],[i_0_404]),
    [final] ).

cnf(i_0_433,plain,
    ( rdn_add_with_carry(rdnn(X5),rdnn(X1),rdn(rdnn(X2),X9),rdn(rdnn(X6),X10))
    | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X5),rdnn(X6),rdnn(X7))
    | ~ rdn_digit_add(rdnn(X4),rdnn(X7),rdnn(X8),rdnn(n0))
    | ~ rdn_add_with_carry(rdnn(X8),rdnn(n0),X9,X10)
    | ~ rdn_non_zero(X9)
    | ~ rdn_non_zero(X10) ),
    inference(split_conjunct,[status(thm)],[i_0_405]),
    [final] ).

cnf(i_0_434,plain,
    ( rdn_add_with_carry(rdnn(X5),rdnn(X1),rdnn(X2),rdn(rdnn(X6),rdnn(n1)))
    | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(X4))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X5),rdnn(X6),rdnn(X7))
    | ~ rdn_digit_add(rdnn(X4),rdnn(X7),rdnn(n1),rdnn(n0)) ),
    inference(split_conjunct,[status(thm)],[i_0_406]),
    [final] ).

cnf(i_0_435,plain,
    ( rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5))
    | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0)) ),
    inference(split_conjunct,[status(thm)],[i_0_407]),
    [final] ).

cnf(i_0_436,plain,
    ( rdn_add_with_carry(rdnn(X1),rdn(rdnn(X3),X4),rdnn(X2),rdn(rdnn(X5),X6))
    | ~ rdn_add_with_carry(rdnn(X1),rdnn(X2),rdn(rdnn(X3),X4),rdn(rdnn(X5),X6)) ),
    inference(split_conjunct,[status(thm)],[i_0_408]),
    [final] ).

cnf(i_0_437,plain,
    ( sum(X1,X3,X6)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X2,X4)
    | ~ rdn_add_with_carry(rdnn(n0),X2,X5,X4)
    | ~ rdn_translate(X6,rdn_neg(X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_409]),
    [final] ).

cnf(i_0_438,plain,
    ( sum(X1,X3,X6)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | ~ rdn_add_with_carry(rdnn(n0),X4,X5,X2)
    | ~ rdn_translate(X6,rdn_pos(X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_410]),
    [final] ).

cnf(i_0_439,plain,
    ( sum(X1,X3,X6)
    | ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_add_with_carry(rdnn(n0),X2,X4,X5)
    | ~ rdn_translate(X6,rdn_neg(X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_411]),
    [final] ).

cnf(i_0_440,plain,
    ( sum(X1,X3,X6)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_add_with_carry(rdnn(n0),X2,X4,X5)
    | ~ rdn_translate(X6,rdn_pos(X5)) ),
    inference(split_conjunct,[status(thm)],[i_0_412]),
    [final] ).

cnf(i_0_441,plain,
    rdn_digit_add(rdnn(n9),rdnn(n9),rdnn(n8),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n9_n8_n1]),
    [final] ).

cnf(i_0_442,plain,
    rdn_digit_add(rdnn(n9),rdnn(n8),rdnn(n7),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n8_n7_n1]),
    [final] ).

cnf(i_0_443,plain,
    rdn_digit_add(rdnn(n9),rdnn(n7),rdnn(n6),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n7_n6_n1]),
    [final] ).

cnf(i_0_444,plain,
    rdn_digit_add(rdnn(n9),rdnn(n6),rdnn(n5),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n6_n5_n1]),
    [final] ).

cnf(i_0_445,plain,
    rdn_digit_add(rdnn(n9),rdnn(n5),rdnn(n4),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n5_n4_n1]),
    [final] ).

cnf(i_0_446,plain,
    rdn_digit_add(rdnn(n9),rdnn(n4),rdnn(n3),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n4_n3_n1]),
    [final] ).

cnf(i_0_447,plain,
    rdn_digit_add(rdnn(n9),rdnn(n3),rdnn(n2),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n3_n2_n1]),
    [final] ).

cnf(i_0_448,plain,
    rdn_digit_add(rdnn(n9),rdnn(n2),rdnn(n1),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n2_n1_n1]),
    [final] ).

cnf(i_0_449,plain,
    rdn_digit_add(rdnn(n9),rdnn(n1),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n1_n0_n1]),
    [final] ).

cnf(i_0_450,plain,
    rdn_digit_add(rdnn(n9),rdnn(n0),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n9_n0_n9_n0]),
    [final] ).

cnf(i_0_451,plain,
    rdn_digit_add(rdnn(n8),rdnn(n9),rdnn(n7),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n9_n7_n1]),
    [final] ).

cnf(i_0_452,plain,
    rdn_digit_add(rdnn(n8),rdnn(n8),rdnn(n6),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n8_n6_n1]),
    [final] ).

cnf(i_0_453,plain,
    rdn_digit_add(rdnn(n8),rdnn(n7),rdnn(n5),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n7_n5_n1]),
    [final] ).

cnf(i_0_454,plain,
    rdn_digit_add(rdnn(n8),rdnn(n6),rdnn(n4),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n6_n4_n1]),
    [final] ).

cnf(i_0_455,plain,
    rdn_digit_add(rdnn(n8),rdnn(n5),rdnn(n3),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n5_n3_n1]),
    [final] ).

cnf(i_0_456,plain,
    rdn_digit_add(rdnn(n8),rdnn(n4),rdnn(n2),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n4_n2_n1]),
    [final] ).

cnf(i_0_457,plain,
    rdn_digit_add(rdnn(n8),rdnn(n3),rdnn(n1),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n3_n1_n1]),
    [final] ).

cnf(i_0_458,plain,
    rdn_digit_add(rdnn(n8),rdnn(n2),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n2_n0_n1]),
    [final] ).

cnf(i_0_459,plain,
    rdn_digit_add(rdnn(n8),rdnn(n1),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n1_n9_n0]),
    [final] ).

cnf(i_0_460,plain,
    rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n0_n8_n0]),
    [final] ).

cnf(i_0_461,plain,
    rdn_digit_add(rdnn(n7),rdnn(n9),rdnn(n6),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n9_n6_n1]),
    [final] ).

cnf(i_0_462,plain,
    rdn_digit_add(rdnn(n7),rdnn(n8),rdnn(n5),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n8_n5_n1]),
    [final] ).

cnf(i_0_463,plain,
    rdn_digit_add(rdnn(n7),rdnn(n7),rdnn(n4),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n7_n4_n1]),
    [final] ).

cnf(i_0_464,plain,
    rdn_digit_add(rdnn(n7),rdnn(n6),rdnn(n3),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n6_n3_n1]),
    [final] ).

cnf(i_0_465,plain,
    rdn_digit_add(rdnn(n7),rdnn(n5),rdnn(n2),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n5_n2_n1]),
    [final] ).

cnf(i_0_466,plain,
    rdn_digit_add(rdnn(n7),rdnn(n4),rdnn(n1),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n4_n1_n1]),
    [final] ).

cnf(i_0_467,plain,
    rdn_digit_add(rdnn(n7),rdnn(n3),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n3_n0_n1]),
    [final] ).

cnf(i_0_468,plain,
    rdn_digit_add(rdnn(n7),rdnn(n2),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n2_n9_n0]),
    [final] ).

cnf(i_0_469,plain,
    rdn_digit_add(rdnn(n7),rdnn(n1),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n1_n8_n0]),
    [final] ).

cnf(i_0_470,plain,
    rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n0_n7_n0]),
    [final] ).

cnf(i_0_471,plain,
    rdn_digit_add(rdnn(n6),rdnn(n9),rdnn(n5),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n9_n5_n1]),
    [final] ).

cnf(i_0_472,plain,
    rdn_digit_add(rdnn(n6),rdnn(n8),rdnn(n4),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n8_n4_n1]),
    [final] ).

cnf(i_0_473,plain,
    rdn_digit_add(rdnn(n6),rdnn(n7),rdnn(n3),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n7_n3_n1]),
    [final] ).

cnf(i_0_474,plain,
    rdn_digit_add(rdnn(n6),rdnn(n6),rdnn(n2),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n6_n2_n1]),
    [final] ).

cnf(i_0_475,plain,
    rdn_digit_add(rdnn(n6),rdnn(n5),rdnn(n1),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n5_n1_n1]),
    [final] ).

cnf(i_0_476,plain,
    rdn_digit_add(rdnn(n6),rdnn(n4),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n4_n0_n1]),
    [final] ).

cnf(i_0_477,plain,
    rdn_digit_add(rdnn(n6),rdnn(n3),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n3_n9_n0]),
    [final] ).

cnf(i_0_478,plain,
    rdn_digit_add(rdnn(n6),rdnn(n2),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n2_n8_n0]),
    [final] ).

cnf(i_0_479,plain,
    rdn_digit_add(rdnn(n6),rdnn(n1),rdnn(n7),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n1_n7_n0]),
    [final] ).

cnf(i_0_480,plain,
    rdn_digit_add(rdnn(n6),rdnn(n0),rdnn(n6),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n6_n0_n6_n0]),
    [final] ).

cnf(i_0_481,plain,
    rdn_digit_add(rdnn(n5),rdnn(n9),rdnn(n4),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n9_n4_n1]),
    [final] ).

cnf(i_0_482,plain,
    rdn_digit_add(rdnn(n5),rdnn(n8),rdnn(n3),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n8_n3_n1]),
    [final] ).

cnf(i_0_483,plain,
    rdn_digit_add(rdnn(n5),rdnn(n7),rdnn(n2),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n7_n2_n1]),
    [final] ).

cnf(i_0_484,plain,
    rdn_digit_add(rdnn(n5),rdnn(n6),rdnn(n1),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n6_n1_n1]),
    [final] ).

cnf(i_0_485,plain,
    rdn_digit_add(rdnn(n5),rdnn(n5),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n5_n0_n1]),
    [final] ).

cnf(i_0_486,plain,
    rdn_digit_add(rdnn(n5),rdnn(n4),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n4_n9_n0]),
    [final] ).

cnf(i_0_487,plain,
    rdn_digit_add(rdnn(n5),rdnn(n3),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n3_n8_n0]),
    [final] ).

cnf(i_0_488,plain,
    rdn_digit_add(rdnn(n5),rdnn(n2),rdnn(n7),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n2_n7_n0]),
    [final] ).

cnf(i_0_489,plain,
    rdn_digit_add(rdnn(n5),rdnn(n1),rdnn(n6),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n1_n6_n0]),
    [final] ).

cnf(i_0_490,plain,
    rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n0_n5_n0]),
    [final] ).

cnf(i_0_491,plain,
    rdn_digit_add(rdnn(n4),rdnn(n9),rdnn(n3),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n9_n3_n1]),
    [final] ).

cnf(i_0_492,plain,
    rdn_digit_add(rdnn(n4),rdnn(n8),rdnn(n2),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n8_n2_n1]),
    [final] ).

cnf(i_0_493,plain,
    rdn_digit_add(rdnn(n4),rdnn(n7),rdnn(n1),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n7_n1_n1]),
    [final] ).

cnf(i_0_494,plain,
    rdn_digit_add(rdnn(n4),rdnn(n6),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n6_n0_n1]),
    [final] ).

cnf(i_0_495,plain,
    rdn_digit_add(rdnn(n4),rdnn(n5),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n5_n9_n0]),
    [final] ).

cnf(i_0_496,plain,
    rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n4_n8_n0]),
    [final] ).

cnf(i_0_497,plain,
    rdn_digit_add(rdnn(n4),rdnn(n3),rdnn(n7),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n3_n7_n0]),
    [final] ).

cnf(i_0_498,plain,
    rdn_digit_add(rdnn(n4),rdnn(n2),rdnn(n6),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n2_n6_n0]),
    [final] ).

cnf(i_0_499,plain,
    rdn_digit_add(rdnn(n4),rdnn(n1),rdnn(n5),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n1_n5_n0]),
    [final] ).

cnf(i_0_500,plain,
    rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n0_n4_n0]),
    [final] ).

cnf(i_0_501,plain,
    rdn_digit_add(rdnn(n3),rdnn(n9),rdnn(n2),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n9_n2_n1]),
    [final] ).

cnf(i_0_502,plain,
    rdn_digit_add(rdnn(n3),rdnn(n8),rdnn(n1),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n8_n1_n1]),
    [final] ).

cnf(i_0_503,plain,
    rdn_digit_add(rdnn(n3),rdnn(n7),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n7_n0_n1]),
    [final] ).

cnf(i_0_504,plain,
    rdn_digit_add(rdnn(n3),rdnn(n6),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n6_n9_n0]),
    [final] ).

cnf(i_0_505,plain,
    rdn_digit_add(rdnn(n3),rdnn(n5),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n5_n8_n0]),
    [final] ).

cnf(i_0_506,plain,
    rdn_digit_add(rdnn(n3),rdnn(n4),rdnn(n7),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n4_n7_n0]),
    [final] ).

cnf(i_0_507,plain,
    rdn_digit_add(rdnn(n3),rdnn(n3),rdnn(n6),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n3_n6_n0]),
    [final] ).

cnf(i_0_508,plain,
    rdn_digit_add(rdnn(n3),rdnn(n2),rdnn(n5),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n2_n5_n0]),
    [final] ).

cnf(i_0_509,plain,
    rdn_digit_add(rdnn(n3),rdnn(n1),rdnn(n4),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n1_n4_n0]),
    [final] ).

cnf(i_0_510,plain,
    rdn_digit_add(rdnn(n3),rdnn(n0),rdnn(n3),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n3_n0_n3_n0]),
    [final] ).

cnf(i_0_511,plain,
    rdn_digit_add(rdnn(n2),rdnn(n9),rdnn(n1),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n9_n1_n1]),
    [final] ).

cnf(i_0_512,plain,
    rdn_digit_add(rdnn(n2),rdnn(n8),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n8_n0_n1]),
    [final] ).

cnf(i_0_513,plain,
    rdn_digit_add(rdnn(n2),rdnn(n7),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n7_n9_n0]),
    [final] ).

cnf(i_0_514,plain,
    rdn_digit_add(rdnn(n2),rdnn(n6),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n6_n8_n0]),
    [final] ).

cnf(i_0_515,plain,
    rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n5_n7_n0]),
    [final] ).

cnf(i_0_516,plain,
    rdn_digit_add(rdnn(n2),rdnn(n4),rdnn(n6),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n4_n6_n0]),
    [final] ).

cnf(i_0_517,plain,
    rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n3_n5_n0]),
    [final] ).

cnf(i_0_518,plain,
    rdn_digit_add(rdnn(n2),rdnn(n2),rdnn(n4),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n2_n4_n0]),
    [final] ).

cnf(i_0_519,plain,
    rdn_digit_add(rdnn(n2),rdnn(n1),rdnn(n3),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n1_n3_n0]),
    [final] ).

cnf(i_0_520,plain,
    rdn_digit_add(rdnn(n2),rdnn(n0),rdnn(n2),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n0_n2_n0]),
    [final] ).

cnf(i_0_521,plain,
    rdn_digit_add(rdnn(n1),rdnn(n9),rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n9_n0_n1]),
    [final] ).

cnf(i_0_522,plain,
    rdn_digit_add(rdnn(n1),rdnn(n8),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n8_n9_n0]),
    [final] ).

cnf(i_0_523,plain,
    rdn_digit_add(rdnn(n1),rdnn(n7),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n7_n8_n0]),
    [final] ).

cnf(i_0_524,plain,
    rdn_digit_add(rdnn(n1),rdnn(n6),rdnn(n7),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n6_n7_n0]),
    [final] ).

cnf(i_0_525,plain,
    rdn_digit_add(rdnn(n1),rdnn(n5),rdnn(n6),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n5_n6_n0]),
    [final] ).

cnf(i_0_526,plain,
    rdn_digit_add(rdnn(n1),rdnn(n4),rdnn(n5),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n4_n5_n0]),
    [final] ).

cnf(i_0_527,plain,
    rdn_digit_add(rdnn(n1),rdnn(n3),rdnn(n4),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n3_n4_n0]),
    [final] ).

cnf(i_0_528,plain,
    rdn_digit_add(rdnn(n1),rdnn(n2),rdnn(n3),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n2_n3_n0]),
    [final] ).

cnf(i_0_529,plain,
    rdn_digit_add(rdnn(n1),rdnn(n1),rdnn(n2),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n1_n2_n0]),
    [final] ).

cnf(i_0_530,plain,
    rdn_digit_add(rdnn(n1),rdnn(n0),rdnn(n1),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n1_n0_n1_n0]),
    [final] ).

cnf(i_0_531,plain,
    rdn_digit_add(rdnn(n0),rdnn(n9),rdnn(n9),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n9_n9_n0]),
    [final] ).

cnf(i_0_532,plain,
    rdn_digit_add(rdnn(n0),rdnn(n8),rdnn(n8),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n8_n8_n0]),
    [final] ).

cnf(i_0_533,plain,
    rdn_digit_add(rdnn(n0),rdnn(n7),rdnn(n7),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n7_n7_n0]),
    [final] ).

cnf(i_0_534,plain,
    rdn_digit_add(rdnn(n0),rdnn(n6),rdnn(n6),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n6_n6_n0]),
    [final] ).

cnf(i_0_535,plain,
    rdn_digit_add(rdnn(n0),rdnn(n5),rdnn(n5),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n5_n5_n0]),
    [final] ).

cnf(i_0_536,plain,
    rdn_digit_add(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n4_n4_n0]),
    [final] ).

cnf(i_0_537,plain,
    rdn_digit_add(rdnn(n0),rdnn(n3),rdnn(n3),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n3_n3_n0]),
    [final] ).

cnf(i_0_538,plain,
    rdn_digit_add(rdnn(n0),rdnn(n2),rdnn(n2),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n2_n2_n0]),
    [final] ).

cnf(i_0_539,plain,
    rdn_digit_add(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n1_n1_n0]),
    [final] ).

cnf(i_0_540,plain,
    rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    inference(split_conjunct,[status(thm)],[rdn_digit_add_n0_n0_n0_n0]),
    [final] ).

cnf(i_0_541,plain,
    rdn_translate(nn128,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn128]),
    [final] ).

cnf(i_0_542,plain,
    rdn_translate(nn127,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn127]),
    [final] ).

cnf(i_0_543,plain,
    rdn_translate(nn126,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn126]),
    [final] ).

cnf(i_0_544,plain,
    rdn_translate(nn125,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn125]),
    [final] ).

cnf(i_0_545,plain,
    rdn_translate(nn124,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn124]),
    [final] ).

cnf(i_0_546,plain,
    rdn_translate(nn123,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn123]),
    [final] ).

cnf(i_0_547,plain,
    rdn_translate(nn122,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn122]),
    [final] ).

cnf(i_0_548,plain,
    rdn_translate(nn121,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn121]),
    [final] ).

cnf(i_0_549,plain,
    rdn_translate(nn120,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn120]),
    [final] ).

cnf(i_0_550,plain,
    rdn_translate(nn119,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn119]),
    [final] ).

cnf(i_0_551,plain,
    rdn_translate(nn118,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn118]),
    [final] ).

cnf(i_0_552,plain,
    rdn_translate(nn117,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn117]),
    [final] ).

cnf(i_0_553,plain,
    rdn_translate(nn116,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn116]),
    [final] ).

cnf(i_0_554,plain,
    rdn_translate(nn115,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn115]),
    [final] ).

cnf(i_0_555,plain,
    rdn_translate(nn114,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn114]),
    [final] ).

cnf(i_0_556,plain,
    rdn_translate(nn113,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn113]),
    [final] ).

cnf(i_0_557,plain,
    rdn_translate(nn112,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn112]),
    [final] ).

cnf(i_0_558,plain,
    rdn_translate(nn111,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn111]),
    [final] ).

cnf(i_0_559,plain,
    rdn_translate(nn110,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn110]),
    [final] ).

cnf(i_0_560,plain,
    rdn_translate(nn109,rdn_neg(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn109]),
    [final] ).

cnf(i_0_561,plain,
    rdn_translate(nn108,rdn_neg(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn108]),
    [final] ).

cnf(i_0_562,plain,
    rdn_translate(nn107,rdn_neg(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn107]),
    [final] ).

cnf(i_0_563,plain,
    rdn_translate(nn106,rdn_neg(rdn(rdnn(n6),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn106]),
    [final] ).

cnf(i_0_564,plain,
    rdn_translate(nn105,rdn_neg(rdn(rdnn(n5),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn105]),
    [final] ).

cnf(i_0_565,plain,
    rdn_translate(nn104,rdn_neg(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn104]),
    [final] ).

cnf(i_0_566,plain,
    rdn_translate(nn103,rdn_neg(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn103]),
    [final] ).

cnf(i_0_567,plain,
    rdn_translate(nn102,rdn_neg(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn102]),
    [final] ).

cnf(i_0_568,plain,
    rdn_translate(nn101,rdn_neg(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn101]),
    [final] ).

cnf(i_0_569,plain,
    rdn_translate(nn100,rdn_neg(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdnn100]),
    [final] ).

cnf(i_0_570,plain,
    rdn_translate(n127,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn127]),
    [final] ).

cnf(i_0_571,plain,
    rdn_translate(n126,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn126]),
    [final] ).

cnf(i_0_572,plain,
    rdn_translate(n125,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn125]),
    [final] ).

cnf(i_0_573,plain,
    rdn_translate(n124,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn124]),
    [final] ).

cnf(i_0_574,plain,
    rdn_translate(n123,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn123]),
    [final] ).

cnf(i_0_575,plain,
    rdn_translate(n122,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn122]),
    [final] ).

cnf(i_0_576,plain,
    rdn_translate(n121,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn121]),
    [final] ).

cnf(i_0_577,plain,
    rdn_translate(n120,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn120]),
    [final] ).

cnf(i_0_578,plain,
    rdn_translate(n119,rdn_pos(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn119]),
    [final] ).

cnf(i_0_579,plain,
    rdn_translate(n118,rdn_pos(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn118]),
    [final] ).

cnf(i_0_580,plain,
    rdn_translate(n117,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn117]),
    [final] ).

cnf(i_0_581,plain,
    rdn_translate(n116,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn116]),
    [final] ).

cnf(i_0_582,plain,
    rdn_translate(n115,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn115]),
    [final] ).

cnf(i_0_583,plain,
    rdn_translate(n114,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn114]),
    [final] ).

cnf(i_0_584,plain,
    rdn_translate(n113,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn113]),
    [final] ).

cnf(i_0_585,plain,
    rdn_translate(n112,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn112]),
    [final] ).

cnf(i_0_586,plain,
    rdn_translate(n111,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn111]),
    [final] ).

cnf(i_0_587,plain,
    rdn_translate(n110,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn110]),
    [final] ).

cnf(i_0_588,plain,
    rdn_translate(n109,rdn_pos(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn109]),
    [final] ).

cnf(i_0_589,plain,
    rdn_translate(n108,rdn_pos(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn108]),
    [final] ).

cnf(i_0_590,plain,
    rdn_translate(n107,rdn_pos(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn107]),
    [final] ).

cnf(i_0_591,plain,
    rdn_translate(n106,rdn_pos(rdn(rdnn(n6),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn106]),
    [final] ).

cnf(i_0_592,plain,
    rdn_translate(n105,rdn_pos(rdn(rdnn(n5),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn105]),
    [final] ).

cnf(i_0_593,plain,
    rdn_translate(n104,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn104]),
    [final] ).

cnf(i_0_594,plain,
    rdn_translate(n103,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn103]),
    [final] ).

cnf(i_0_595,plain,
    rdn_translate(n102,rdn_pos(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn102]),
    [final] ).

cnf(i_0_596,plain,
    rdn_translate(n101,rdn_pos(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn101]),
    [final] ).

cnf(i_0_597,plain,
    rdn_translate(n100,rdn_pos(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))))),
    inference(split_conjunct,[status(thm)],[rdn100]),
    [final] ).

cnf(i_0_598,plain,
    ( sum(X1,X3,X5)
    | ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_413]),
    [final] ).

cnf(i_0_599,plain,
    ( X1 = X4
    | ~ sum(X1,X2,X3)
    | ~ sum(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_414]),
    [final] ).

cnf(i_0_600,plain,
    ( X2 = X4
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_415]),
    [final] ).

cnf(i_0_601,plain,
    ( X3 = X4
    | ~ sum(X1,X2,X3)
    | ~ sum(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_416]),
    [final] ).

cnf(i_0_602,plain,
    ( difference(X3,X1,X2)
    | ~ sum(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_417]),
    [final] ).

cnf(i_0_603,plain,
    ( sum(X2,X3,X1)
    | ~ difference(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_417]),
    [final] ).

cnf(i_0_604,plain,
    ( rdn_positive_less(rdn(rdnn(X1),X3),rdn(rdnn(X2),X3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_non_zero(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_418]),
    [final] ).

cnf(i_0_605,plain,
    ( less_or_equal(X3,X1)
    | ~ sum(X1,n1,X2)
    | ~ less(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_419]),
    [final] ).

cnf(i_0_606,plain,
    ( sum(X1,X3,n0)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_neg(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_420]),
    [final] ).

cnf(i_0_607,plain,
    ( rdn_positive_less(rdn(rdnn(X3),X1),rdn(rdnn(X4),X2))
    | ~ rdn_positive_less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_421]),
    [final] ).

cnf(i_0_608,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X2),rdnn(X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_422]),
    [final] ).

cnf(i_0_609,plain,
    ( less(X1,X3)
    | ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_423]),
    [final] ).

cnf(i_0_610,plain,
    ( less(X1,X3)
    | ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_424]),
    [final] ).

cnf(i_0_611,plain,
    rdn_translate(nn99,rdn_neg(rdn(rdnn(n9),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn99]),
    [final] ).

cnf(i_0_612,plain,
    rdn_translate(nn98,rdn_neg(rdn(rdnn(n8),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn98]),
    [final] ).

cnf(i_0_613,plain,
    rdn_translate(nn97,rdn_neg(rdn(rdnn(n7),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn97]),
    [final] ).

cnf(i_0_614,plain,
    rdn_translate(nn96,rdn_neg(rdn(rdnn(n6),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn96]),
    [final] ).

cnf(i_0_615,plain,
    rdn_translate(nn95,rdn_neg(rdn(rdnn(n5),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn95]),
    [final] ).

cnf(i_0_616,plain,
    rdn_translate(nn94,rdn_neg(rdn(rdnn(n4),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn94]),
    [final] ).

cnf(i_0_617,plain,
    rdn_translate(nn93,rdn_neg(rdn(rdnn(n3),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn93]),
    [final] ).

cnf(i_0_618,plain,
    rdn_translate(nn92,rdn_neg(rdn(rdnn(n2),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn92]),
    [final] ).

cnf(i_0_619,plain,
    rdn_translate(nn91,rdn_neg(rdn(rdnn(n1),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn91]),
    [final] ).

cnf(i_0_620,plain,
    rdn_translate(nn90,rdn_neg(rdn(rdnn(n0),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdnn90]),
    [final] ).

cnf(i_0_621,plain,
    rdn_translate(nn89,rdn_neg(rdn(rdnn(n9),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn89]),
    [final] ).

cnf(i_0_622,plain,
    rdn_translate(nn88,rdn_neg(rdn(rdnn(n8),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn88]),
    [final] ).

cnf(i_0_623,plain,
    rdn_translate(nn87,rdn_neg(rdn(rdnn(n7),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn87]),
    [final] ).

cnf(i_0_624,plain,
    rdn_translate(nn86,rdn_neg(rdn(rdnn(n6),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn86]),
    [final] ).

cnf(i_0_625,plain,
    rdn_translate(nn85,rdn_neg(rdn(rdnn(n5),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn85]),
    [final] ).

cnf(i_0_626,plain,
    rdn_translate(nn84,rdn_neg(rdn(rdnn(n4),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn84]),
    [final] ).

cnf(i_0_627,plain,
    rdn_translate(nn83,rdn_neg(rdn(rdnn(n3),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn83]),
    [final] ).

cnf(i_0_628,plain,
    rdn_translate(nn82,rdn_neg(rdn(rdnn(n2),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn82]),
    [final] ).

cnf(i_0_629,plain,
    rdn_translate(nn81,rdn_neg(rdn(rdnn(n1),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn81]),
    [final] ).

cnf(i_0_630,plain,
    rdn_translate(nn80,rdn_neg(rdn(rdnn(n0),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdnn80]),
    [final] ).

cnf(i_0_631,plain,
    rdn_translate(nn79,rdn_neg(rdn(rdnn(n9),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn79]),
    [final] ).

cnf(i_0_632,plain,
    rdn_translate(nn78,rdn_neg(rdn(rdnn(n8),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn78]),
    [final] ).

cnf(i_0_633,plain,
    rdn_translate(nn77,rdn_neg(rdn(rdnn(n7),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn77]),
    [final] ).

cnf(i_0_634,plain,
    rdn_translate(nn76,rdn_neg(rdn(rdnn(n6),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn76]),
    [final] ).

cnf(i_0_635,plain,
    rdn_translate(nn75,rdn_neg(rdn(rdnn(n5),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn75]),
    [final] ).

cnf(i_0_636,plain,
    rdn_translate(nn74,rdn_neg(rdn(rdnn(n4),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn74]),
    [final] ).

cnf(i_0_637,plain,
    rdn_translate(nn73,rdn_neg(rdn(rdnn(n3),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn73]),
    [final] ).

cnf(i_0_638,plain,
    rdn_translate(nn72,rdn_neg(rdn(rdnn(n2),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn72]),
    [final] ).

cnf(i_0_639,plain,
    rdn_translate(nn71,rdn_neg(rdn(rdnn(n1),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn71]),
    [final] ).

cnf(i_0_640,plain,
    rdn_translate(nn70,rdn_neg(rdn(rdnn(n0),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdnn70]),
    [final] ).

cnf(i_0_641,plain,
    rdn_translate(nn69,rdn_neg(rdn(rdnn(n9),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn69]),
    [final] ).

cnf(i_0_642,plain,
    rdn_translate(nn68,rdn_neg(rdn(rdnn(n8),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn68]),
    [final] ).

cnf(i_0_643,plain,
    rdn_translate(nn67,rdn_neg(rdn(rdnn(n7),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn67]),
    [final] ).

cnf(i_0_644,plain,
    rdn_translate(nn66,rdn_neg(rdn(rdnn(n6),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn66]),
    [final] ).

cnf(i_0_645,plain,
    rdn_translate(nn65,rdn_neg(rdn(rdnn(n5),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn65]),
    [final] ).

cnf(i_0_646,plain,
    rdn_translate(nn64,rdn_neg(rdn(rdnn(n4),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn64]),
    [final] ).

cnf(i_0_647,plain,
    rdn_translate(nn63,rdn_neg(rdn(rdnn(n3),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn63]),
    [final] ).

cnf(i_0_648,plain,
    rdn_translate(nn62,rdn_neg(rdn(rdnn(n2),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn62]),
    [final] ).

cnf(i_0_649,plain,
    rdn_translate(nn61,rdn_neg(rdn(rdnn(n1),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn61]),
    [final] ).

cnf(i_0_650,plain,
    rdn_translate(nn60,rdn_neg(rdn(rdnn(n0),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdnn60]),
    [final] ).

cnf(i_0_651,plain,
    rdn_translate(nn59,rdn_neg(rdn(rdnn(n9),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn59]),
    [final] ).

cnf(i_0_652,plain,
    rdn_translate(nn58,rdn_neg(rdn(rdnn(n8),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn58]),
    [final] ).

cnf(i_0_653,plain,
    rdn_translate(nn57,rdn_neg(rdn(rdnn(n7),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn57]),
    [final] ).

cnf(i_0_654,plain,
    rdn_translate(nn56,rdn_neg(rdn(rdnn(n6),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn56]),
    [final] ).

cnf(i_0_655,plain,
    rdn_translate(nn55,rdn_neg(rdn(rdnn(n5),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn55]),
    [final] ).

cnf(i_0_656,plain,
    rdn_translate(nn54,rdn_neg(rdn(rdnn(n4),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn54]),
    [final] ).

cnf(i_0_657,plain,
    rdn_translate(nn53,rdn_neg(rdn(rdnn(n3),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn53]),
    [final] ).

cnf(i_0_658,plain,
    rdn_translate(nn52,rdn_neg(rdn(rdnn(n2),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn52]),
    [final] ).

cnf(i_0_659,plain,
    rdn_translate(nn51,rdn_neg(rdn(rdnn(n1),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn51]),
    [final] ).

cnf(i_0_660,plain,
    rdn_translate(nn50,rdn_neg(rdn(rdnn(n0),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdnn50]),
    [final] ).

cnf(i_0_661,plain,
    rdn_translate(nn49,rdn_neg(rdn(rdnn(n9),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn49]),
    [final] ).

cnf(i_0_662,plain,
    rdn_translate(nn48,rdn_neg(rdn(rdnn(n8),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn48]),
    [final] ).

cnf(i_0_663,plain,
    rdn_translate(nn47,rdn_neg(rdn(rdnn(n7),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn47]),
    [final] ).

cnf(i_0_664,plain,
    rdn_translate(nn46,rdn_neg(rdn(rdnn(n6),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn46]),
    [final] ).

cnf(i_0_665,plain,
    rdn_translate(nn45,rdn_neg(rdn(rdnn(n5),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn45]),
    [final] ).

cnf(i_0_666,plain,
    rdn_translate(nn44,rdn_neg(rdn(rdnn(n4),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn44]),
    [final] ).

cnf(i_0_667,plain,
    rdn_translate(nn43,rdn_neg(rdn(rdnn(n3),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn43]),
    [final] ).

cnf(i_0_668,plain,
    rdn_translate(nn42,rdn_neg(rdn(rdnn(n2),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn42]),
    [final] ).

cnf(i_0_669,plain,
    rdn_translate(nn41,rdn_neg(rdn(rdnn(n1),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn41]),
    [final] ).

cnf(i_0_670,plain,
    rdn_translate(nn40,rdn_neg(rdn(rdnn(n0),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdnn40]),
    [final] ).

cnf(i_0_671,plain,
    rdn_translate(nn39,rdn_neg(rdn(rdnn(n9),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn39]),
    [final] ).

cnf(i_0_672,plain,
    rdn_translate(nn38,rdn_neg(rdn(rdnn(n8),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn38]),
    [final] ).

cnf(i_0_673,plain,
    rdn_translate(nn37,rdn_neg(rdn(rdnn(n7),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn37]),
    [final] ).

cnf(i_0_674,plain,
    rdn_translate(nn36,rdn_neg(rdn(rdnn(n6),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn36]),
    [final] ).

cnf(i_0_675,plain,
    rdn_translate(nn35,rdn_neg(rdn(rdnn(n5),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn35]),
    [final] ).

cnf(i_0_676,plain,
    rdn_translate(nn34,rdn_neg(rdn(rdnn(n4),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn34]),
    [final] ).

cnf(i_0_677,plain,
    rdn_translate(nn33,rdn_neg(rdn(rdnn(n3),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn33]),
    [final] ).

cnf(i_0_678,plain,
    rdn_translate(nn32,rdn_neg(rdn(rdnn(n2),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn32]),
    [final] ).

cnf(i_0_679,plain,
    rdn_translate(nn31,rdn_neg(rdn(rdnn(n1),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn31]),
    [final] ).

cnf(i_0_680,plain,
    rdn_translate(nn30,rdn_neg(rdn(rdnn(n0),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdnn30]),
    [final] ).

cnf(i_0_681,plain,
    rdn_translate(nn29,rdn_neg(rdn(rdnn(n9),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn29]),
    [final] ).

cnf(i_0_682,plain,
    rdn_translate(nn28,rdn_neg(rdn(rdnn(n8),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn28]),
    [final] ).

cnf(i_0_683,plain,
    rdn_translate(nn27,rdn_neg(rdn(rdnn(n7),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn27]),
    [final] ).

cnf(i_0_684,plain,
    rdn_translate(nn26,rdn_neg(rdn(rdnn(n6),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn26]),
    [final] ).

cnf(i_0_685,plain,
    rdn_translate(nn25,rdn_neg(rdn(rdnn(n5),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn25]),
    [final] ).

cnf(i_0_686,plain,
    rdn_translate(nn24,rdn_neg(rdn(rdnn(n4),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn24]),
    [final] ).

cnf(i_0_687,plain,
    rdn_translate(nn23,rdn_neg(rdn(rdnn(n3),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn23]),
    [final] ).

cnf(i_0_688,plain,
    rdn_translate(nn22,rdn_neg(rdn(rdnn(n2),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn22]),
    [final] ).

cnf(i_0_689,plain,
    rdn_translate(nn21,rdn_neg(rdn(rdnn(n1),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn21]),
    [final] ).

cnf(i_0_690,plain,
    rdn_translate(nn20,rdn_neg(rdn(rdnn(n0),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdnn20]),
    [final] ).

cnf(i_0_691,plain,
    rdn_translate(nn19,rdn_neg(rdn(rdnn(n9),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn19]),
    [final] ).

cnf(i_0_692,plain,
    rdn_translate(nn18,rdn_neg(rdn(rdnn(n8),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn18]),
    [final] ).

cnf(i_0_693,plain,
    rdn_translate(nn17,rdn_neg(rdn(rdnn(n7),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn17]),
    [final] ).

cnf(i_0_694,plain,
    rdn_translate(nn16,rdn_neg(rdn(rdnn(n6),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn16]),
    [final] ).

cnf(i_0_695,plain,
    rdn_translate(nn15,rdn_neg(rdn(rdnn(n5),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn15]),
    [final] ).

cnf(i_0_696,plain,
    rdn_translate(nn14,rdn_neg(rdn(rdnn(n4),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn14]),
    [final] ).

cnf(i_0_697,plain,
    rdn_translate(nn13,rdn_neg(rdn(rdnn(n3),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn13]),
    [final] ).

cnf(i_0_698,plain,
    rdn_translate(nn12,rdn_neg(rdn(rdnn(n2),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn12]),
    [final] ).

cnf(i_0_699,plain,
    rdn_translate(nn11,rdn_neg(rdn(rdnn(n1),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn11]),
    [final] ).

cnf(i_0_700,plain,
    rdn_translate(nn10,rdn_neg(rdn(rdnn(n0),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdnn10]),
    [final] ).

cnf(i_0_701,plain,
    rdn_translate(n99,rdn_pos(rdn(rdnn(n9),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn99]),
    [final] ).

cnf(i_0_702,plain,
    rdn_translate(n98,rdn_pos(rdn(rdnn(n8),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn98]),
    [final] ).

cnf(i_0_703,plain,
    rdn_translate(n97,rdn_pos(rdn(rdnn(n7),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn97]),
    [final] ).

cnf(i_0_704,plain,
    rdn_translate(n96,rdn_pos(rdn(rdnn(n6),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn96]),
    [final] ).

cnf(i_0_705,plain,
    rdn_translate(n95,rdn_pos(rdn(rdnn(n5),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn95]),
    [final] ).

cnf(i_0_706,plain,
    rdn_translate(n94,rdn_pos(rdn(rdnn(n4),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn94]),
    [final] ).

cnf(i_0_707,plain,
    rdn_translate(n93,rdn_pos(rdn(rdnn(n3),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn93]),
    [final] ).

cnf(i_0_708,plain,
    rdn_translate(n92,rdn_pos(rdn(rdnn(n2),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn92]),
    [final] ).

cnf(i_0_709,plain,
    rdn_translate(n91,rdn_pos(rdn(rdnn(n1),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn91]),
    [final] ).

cnf(i_0_710,plain,
    rdn_translate(n90,rdn_pos(rdn(rdnn(n0),rdnn(n9)))),
    inference(split_conjunct,[status(thm)],[rdn90]),
    [final] ).

cnf(i_0_711,plain,
    rdn_translate(n89,rdn_pos(rdn(rdnn(n9),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn89]),
    [final] ).

cnf(i_0_712,plain,
    rdn_translate(n88,rdn_pos(rdn(rdnn(n8),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn88]),
    [final] ).

cnf(i_0_713,plain,
    rdn_translate(n87,rdn_pos(rdn(rdnn(n7),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn87]),
    [final] ).

cnf(i_0_714,plain,
    rdn_translate(n86,rdn_pos(rdn(rdnn(n6),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn86]),
    [final] ).

cnf(i_0_715,plain,
    rdn_translate(n85,rdn_pos(rdn(rdnn(n5),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn85]),
    [final] ).

cnf(i_0_716,plain,
    rdn_translate(n84,rdn_pos(rdn(rdnn(n4),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn84]),
    [final] ).

cnf(i_0_717,plain,
    rdn_translate(n83,rdn_pos(rdn(rdnn(n3),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn83]),
    [final] ).

cnf(i_0_718,plain,
    rdn_translate(n82,rdn_pos(rdn(rdnn(n2),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn82]),
    [final] ).

cnf(i_0_719,plain,
    rdn_translate(n81,rdn_pos(rdn(rdnn(n1),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn81]),
    [final] ).

cnf(i_0_720,plain,
    rdn_translate(n80,rdn_pos(rdn(rdnn(n0),rdnn(n8)))),
    inference(split_conjunct,[status(thm)],[rdn80]),
    [final] ).

cnf(i_0_721,plain,
    rdn_translate(n79,rdn_pos(rdn(rdnn(n9),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn79]),
    [final] ).

cnf(i_0_722,plain,
    rdn_translate(n78,rdn_pos(rdn(rdnn(n8),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn78]),
    [final] ).

cnf(i_0_723,plain,
    rdn_translate(n77,rdn_pos(rdn(rdnn(n7),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn77]),
    [final] ).

cnf(i_0_724,plain,
    rdn_translate(n76,rdn_pos(rdn(rdnn(n6),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn76]),
    [final] ).

cnf(i_0_725,plain,
    rdn_translate(n75,rdn_pos(rdn(rdnn(n5),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn75]),
    [final] ).

cnf(i_0_726,plain,
    rdn_translate(n74,rdn_pos(rdn(rdnn(n4),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn74]),
    [final] ).

cnf(i_0_727,plain,
    rdn_translate(n73,rdn_pos(rdn(rdnn(n3),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn73]),
    [final] ).

cnf(i_0_728,plain,
    rdn_translate(n72,rdn_pos(rdn(rdnn(n2),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn72]),
    [final] ).

cnf(i_0_729,plain,
    rdn_translate(n71,rdn_pos(rdn(rdnn(n1),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn71]),
    [final] ).

cnf(i_0_730,plain,
    rdn_translate(n70,rdn_pos(rdn(rdnn(n0),rdnn(n7)))),
    inference(split_conjunct,[status(thm)],[rdn70]),
    [final] ).

cnf(i_0_731,plain,
    rdn_translate(n69,rdn_pos(rdn(rdnn(n9),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn69]),
    [final] ).

cnf(i_0_732,plain,
    rdn_translate(n68,rdn_pos(rdn(rdnn(n8),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn68]),
    [final] ).

cnf(i_0_733,plain,
    rdn_translate(n67,rdn_pos(rdn(rdnn(n7),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn67]),
    [final] ).

cnf(i_0_734,plain,
    rdn_translate(n66,rdn_pos(rdn(rdnn(n6),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn66]),
    [final] ).

cnf(i_0_735,plain,
    rdn_translate(n65,rdn_pos(rdn(rdnn(n5),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn65]),
    [final] ).

cnf(i_0_736,plain,
    rdn_translate(n64,rdn_pos(rdn(rdnn(n4),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn64]),
    [final] ).

cnf(i_0_737,plain,
    rdn_translate(n63,rdn_pos(rdn(rdnn(n3),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn63]),
    [final] ).

cnf(i_0_738,plain,
    rdn_translate(n62,rdn_pos(rdn(rdnn(n2),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn62]),
    [final] ).

cnf(i_0_739,plain,
    rdn_translate(n61,rdn_pos(rdn(rdnn(n1),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn61]),
    [final] ).

cnf(i_0_740,plain,
    rdn_translate(n60,rdn_pos(rdn(rdnn(n0),rdnn(n6)))),
    inference(split_conjunct,[status(thm)],[rdn60]),
    [final] ).

cnf(i_0_741,plain,
    rdn_translate(n59,rdn_pos(rdn(rdnn(n9),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn59]),
    [final] ).

cnf(i_0_742,plain,
    rdn_translate(n58,rdn_pos(rdn(rdnn(n8),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn58]),
    [final] ).

cnf(i_0_743,plain,
    rdn_translate(n57,rdn_pos(rdn(rdnn(n7),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn57]),
    [final] ).

cnf(i_0_744,plain,
    rdn_translate(n56,rdn_pos(rdn(rdnn(n6),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn56]),
    [final] ).

cnf(i_0_745,plain,
    rdn_translate(n55,rdn_pos(rdn(rdnn(n5),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn55]),
    [final] ).

cnf(i_0_746,plain,
    rdn_translate(n54,rdn_pos(rdn(rdnn(n4),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn54]),
    [final] ).

cnf(i_0_747,plain,
    rdn_translate(n53,rdn_pos(rdn(rdnn(n3),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn53]),
    [final] ).

cnf(i_0_748,plain,
    rdn_translate(n52,rdn_pos(rdn(rdnn(n2),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn52]),
    [final] ).

cnf(i_0_749,plain,
    rdn_translate(n51,rdn_pos(rdn(rdnn(n1),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn51]),
    [final] ).

cnf(i_0_750,plain,
    rdn_translate(n50,rdn_pos(rdn(rdnn(n0),rdnn(n5)))),
    inference(split_conjunct,[status(thm)],[rdn50]),
    [final] ).

cnf(i_0_751,plain,
    rdn_translate(n49,rdn_pos(rdn(rdnn(n9),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn49]),
    [final] ).

cnf(i_0_752,plain,
    rdn_translate(n48,rdn_pos(rdn(rdnn(n8),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn48]),
    [final] ).

cnf(i_0_753,plain,
    rdn_translate(n47,rdn_pos(rdn(rdnn(n7),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn47]),
    [final] ).

cnf(i_0_754,plain,
    rdn_translate(n46,rdn_pos(rdn(rdnn(n6),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn46]),
    [final] ).

cnf(i_0_755,plain,
    rdn_translate(n45,rdn_pos(rdn(rdnn(n5),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn45]),
    [final] ).

cnf(i_0_756,plain,
    rdn_translate(n44,rdn_pos(rdn(rdnn(n4),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn44]),
    [final] ).

cnf(i_0_757,plain,
    rdn_translate(n43,rdn_pos(rdn(rdnn(n3),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn43]),
    [final] ).

cnf(i_0_758,plain,
    rdn_translate(n42,rdn_pos(rdn(rdnn(n2),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn42]),
    [final] ).

cnf(i_0_759,plain,
    rdn_translate(n41,rdn_pos(rdn(rdnn(n1),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn41]),
    [final] ).

cnf(i_0_760,plain,
    rdn_translate(n40,rdn_pos(rdn(rdnn(n0),rdnn(n4)))),
    inference(split_conjunct,[status(thm)],[rdn40]),
    [final] ).

cnf(i_0_761,plain,
    rdn_translate(n39,rdn_pos(rdn(rdnn(n9),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn39]),
    [final] ).

cnf(i_0_762,plain,
    rdn_translate(n38,rdn_pos(rdn(rdnn(n8),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn38]),
    [final] ).

cnf(i_0_763,plain,
    rdn_translate(n37,rdn_pos(rdn(rdnn(n7),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn37]),
    [final] ).

cnf(i_0_764,plain,
    rdn_translate(n36,rdn_pos(rdn(rdnn(n6),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn36]),
    [final] ).

cnf(i_0_765,plain,
    rdn_translate(n35,rdn_pos(rdn(rdnn(n5),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn35]),
    [final] ).

cnf(i_0_766,plain,
    rdn_translate(n34,rdn_pos(rdn(rdnn(n4),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn34]),
    [final] ).

cnf(i_0_767,plain,
    rdn_translate(n33,rdn_pos(rdn(rdnn(n3),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn33]),
    [final] ).

cnf(i_0_768,plain,
    rdn_translate(n32,rdn_pos(rdn(rdnn(n2),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn32]),
    [final] ).

cnf(i_0_769,plain,
    rdn_translate(n31,rdn_pos(rdn(rdnn(n1),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn31]),
    [final] ).

cnf(i_0_770,plain,
    rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
    inference(split_conjunct,[status(thm)],[rdn30]),
    [final] ).

cnf(i_0_771,plain,
    rdn_translate(n29,rdn_pos(rdn(rdnn(n9),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn29]),
    [final] ).

cnf(i_0_772,plain,
    rdn_translate(n28,rdn_pos(rdn(rdnn(n8),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn28]),
    [final] ).

cnf(i_0_773,plain,
    rdn_translate(n27,rdn_pos(rdn(rdnn(n7),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn27]),
    [final] ).

cnf(i_0_774,plain,
    rdn_translate(n26,rdn_pos(rdn(rdnn(n6),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn26]),
    [final] ).

cnf(i_0_775,plain,
    rdn_translate(n25,rdn_pos(rdn(rdnn(n5),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn25]),
    [final] ).

cnf(i_0_776,plain,
    rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn24]),
    [final] ).

cnf(i_0_777,plain,
    rdn_translate(n23,rdn_pos(rdn(rdnn(n3),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn23]),
    [final] ).

cnf(i_0_778,plain,
    rdn_translate(n22,rdn_pos(rdn(rdnn(n2),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn22]),
    [final] ).

cnf(i_0_779,plain,
    rdn_translate(n21,rdn_pos(rdn(rdnn(n1),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn21]),
    [final] ).

cnf(i_0_780,plain,
    rdn_translate(n20,rdn_pos(rdn(rdnn(n0),rdnn(n2)))),
    inference(split_conjunct,[status(thm)],[rdn20]),
    [final] ).

cnf(i_0_781,plain,
    rdn_translate(n19,rdn_pos(rdn(rdnn(n9),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn19]),
    [final] ).

cnf(i_0_782,plain,
    rdn_translate(n18,rdn_pos(rdn(rdnn(n8),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn18]),
    [final] ).

cnf(i_0_783,plain,
    rdn_translate(n17,rdn_pos(rdn(rdnn(n7),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn17]),
    [final] ).

cnf(i_0_784,plain,
    rdn_translate(n16,rdn_pos(rdn(rdnn(n6),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn16]),
    [final] ).

cnf(i_0_785,plain,
    rdn_translate(n15,rdn_pos(rdn(rdnn(n5),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn15]),
    [final] ).

cnf(i_0_786,plain,
    rdn_translate(n14,rdn_pos(rdn(rdnn(n4),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn14]),
    [final] ).

cnf(i_0_787,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn13]),
    [final] ).

cnf(i_0_788,plain,
    rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn12]),
    [final] ).

cnf(i_0_789,plain,
    rdn_translate(n11,rdn_pos(rdn(rdnn(n1),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn11]),
    [final] ).

cnf(i_0_790,plain,
    rdn_translate(n10,rdn_pos(rdn(rdnn(n0),rdnn(n1)))),
    inference(split_conjunct,[status(thm)],[rdn10]),
    [final] ).

cnf(i_0_791,negated_conjecture,
    ~ difference(X1,n0,X1),
    inference(split_conjunct,[status(thm)],[i_0_425]),
    [final] ).

cnf(i_0_792,plain,
    ( less(X1,X3)
    | ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_426]),
    [final] ).

cnf(i_0_793,plain,
    ( rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1))
    | ~ rdn_non_zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_427]),
    [final] ).

cnf(i_0_794,plain,
    ( rdn_non_zero(rdn(rdnn(X2),X1))
    | ~ rdn_non_zero(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_428]),
    [final] ).

cnf(i_0_795,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_429]),
    [final] ).

cnf(i_0_796,plain,
    ( less(X1,X2)
    | X1 = X2
    | ~ less_or_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_430]),
    [final] ).

cnf(i_0_797,plain,
    ( less_or_equal(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_430]),
    [final] ).

cnf(i_0_798,plain,
    ( less(X1,X2)
    | X1 = X2
    | less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_429]),
    [final] ).

cnf(i_0_799,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_431]),
    [final] ).

cnf(i_0_800,plain,
    ( X1 != X2
    | ~ less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_429]),
    [final] ).

cnf(i_0_801,plain,
    rdn_translate(nn9,rdn_neg(rdnn(n9))),
    inference(split_conjunct,[status(thm)],[rdnn9]),
    [final] ).

cnf(i_0_802,plain,
    rdn_translate(nn8,rdn_neg(rdnn(n8))),
    inference(split_conjunct,[status(thm)],[rdnn8]),
    [final] ).

cnf(i_0_803,plain,
    rdn_translate(nn7,rdn_neg(rdnn(n7))),
    inference(split_conjunct,[status(thm)],[rdnn7]),
    [final] ).

cnf(i_0_804,plain,
    rdn_translate(nn6,rdn_neg(rdnn(n6))),
    inference(split_conjunct,[status(thm)],[rdnn6]),
    [final] ).

cnf(i_0_805,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    inference(split_conjunct,[status(thm)],[rdnn5]),
    [final] ).

cnf(i_0_806,plain,
    rdn_translate(nn4,rdn_neg(rdnn(n4))),
    inference(split_conjunct,[status(thm)],[rdnn4]),
    [final] ).

cnf(i_0_807,plain,
    rdn_translate(nn3,rdn_neg(rdnn(n3))),
    inference(split_conjunct,[status(thm)],[rdnn3]),
    [final] ).

cnf(i_0_808,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    inference(split_conjunct,[status(thm)],[rdnn2]),
    [final] ).

cnf(i_0_809,plain,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    inference(split_conjunct,[status(thm)],[rdnn1]),
    [final] ).

cnf(i_0_810,plain,
    rdn_translate(n9,rdn_pos(rdnn(n9))),
    inference(split_conjunct,[status(thm)],[rdn9]),
    [final] ).

cnf(i_0_811,plain,
    rdn_translate(n8,rdn_pos(rdnn(n8))),
    inference(split_conjunct,[status(thm)],[rdn8]),
    [final] ).

cnf(i_0_812,plain,
    rdn_translate(n7,rdn_pos(rdnn(n7))),
    inference(split_conjunct,[status(thm)],[rdn7]),
    [final] ).

cnf(i_0_813,plain,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    inference(split_conjunct,[status(thm)],[rdn6]),
    [final] ).

cnf(i_0_814,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(split_conjunct,[status(thm)],[rdn5]),
    [final] ).

cnf(i_0_815,plain,
    rdn_translate(n4,rdn_pos(rdnn(n4))),
    inference(split_conjunct,[status(thm)],[rdn4]),
    [final] ).

cnf(i_0_816,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(split_conjunct,[status(thm)],[rdn3]),
    [final] ).

cnf(i_0_817,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(split_conjunct,[status(thm)],[rdn2]),
    [final] ).

cnf(i_0_818,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    inference(split_conjunct,[status(thm)],[rdn1]),
    [final] ).

cnf(i_0_819,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(split_conjunct,[status(thm)],[rdn0]),
    [final] ).

cnf(i_0_820,plain,
    rdn_positive_less(rdnn(n8),rdnn(n9)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less89]),
    [final] ).

cnf(i_0_821,plain,
    rdn_positive_less(rdnn(n7),rdnn(n8)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less78]),
    [final] ).

cnf(i_0_822,plain,
    rdn_positive_less(rdnn(n6),rdnn(n7)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less67]),
    [final] ).

cnf(i_0_823,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less56]),
    [final] ).

cnf(i_0_824,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less45]),
    [final] ).

cnf(i_0_825,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less34]),
    [final] ).

cnf(i_0_826,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less23]),
    [final] ).

cnf(i_0_827,plain,
    rdn_positive_less(rdnn(n1),rdnn(n2)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less12]),
    [final] ).

cnf(i_0_828,plain,
    rdn_positive_less(rdnn(n0),rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less01]),
    [final] ).

cnf(i_0_829,plain,
    ( less_or_equal(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_430]),
    [final] ).

cnf(i_0_830,plain,
    rdn_non_zero_digit(rdnn(n9)),
    inference(split_conjunct,[status(thm)],[rdn_digit9]),
    [final] ).

cnf(i_0_831,plain,
    rdn_non_zero_digit(rdnn(n8)),
    inference(split_conjunct,[status(thm)],[rdn_digit8]),
    [final] ).

cnf(i_0_832,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(split_conjunct,[status(thm)],[rdn_digit7]),
    [final] ).

cnf(i_0_833,plain,
    rdn_non_zero_digit(rdnn(n6)),
    inference(split_conjunct,[status(thm)],[rdn_digit6]),
    [final] ).

cnf(i_0_834,plain,
    rdn_non_zero_digit(rdnn(n5)),
    inference(split_conjunct,[status(thm)],[rdn_digit5]),
    [final] ).

cnf(i_0_835,plain,
    rdn_non_zero_digit(rdnn(n4)),
    inference(split_conjunct,[status(thm)],[rdn_digit4]),
    [final] ).

cnf(i_0_836,plain,
    rdn_non_zero_digit(rdnn(n3)),
    inference(split_conjunct,[status(thm)],[rdn_digit3]),
    [final] ).

cnf(i_0_837,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(split_conjunct,[status(thm)],[rdn_digit2]),
    [final] ).

cnf(i_0_838,plain,
    rdn_non_zero_digit(rdnn(n1)),
    inference(split_conjunct,[status(thm)],[rdn_digit1]),
    [final] ).

cnf(i_0_839,axiom,
    X1 = X1 ).

cnf(i_0_840,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_841,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_842,axiom,
    ( X1 != X2
    | ~ rdn_add_with_carry(X1,X3,X4,X5)
    | rdn_add_with_carry(X2,X3,X4,X5) ) ).

cnf(i_0_843,axiom,
    ( X1 != X2
    | ~ rdn_add_with_carry(X3,X1,X4,X5)
    | rdn_add_with_carry(X3,X2,X4,X5) ) ).

cnf(i_0_844,axiom,
    ( X1 != X2
    | ~ rdn_add_with_carry(X3,X4,X1,X5)
    | rdn_add_with_carry(X3,X4,X2,X5) ) ).

cnf(i_0_845,axiom,
    ( X1 != X2
    | ~ rdn_add_with_carry(X3,X4,X5,X1)
    | rdn_add_with_carry(X3,X4,X5,X2) ) ).

cnf(i_0_846,axiom,
    ( X1 != X2
    | ~ rdn_non_zero_digit(X1)
    | rdn_non_zero_digit(X2) ) ).

cnf(i_0_847,axiom,
    ( X1 != X2
    | ~ rdn_digit_add(X1,X3,X4,X5)
    | rdn_digit_add(X2,X3,X4,X5) ) ).

cnf(i_0_848,axiom,
    ( X1 != X2
    | ~ rdn_digit_add(X3,X1,X4,X5)
    | rdn_digit_add(X3,X2,X4,X5) ) ).

cnf(i_0_849,axiom,
    ( X1 != X2
    | ~ rdn_digit_add(X3,X4,X1,X5)
    | rdn_digit_add(X3,X4,X2,X5) ) ).

cnf(i_0_850,axiom,
    ( X1 != X2
    | ~ rdn_digit_add(X3,X4,X5,X1)
    | rdn_digit_add(X3,X4,X5,X2) ) ).

cnf(i_0_851,axiom,
    ( X1 != X2
    | ~ rdn_non_zero(X1)
    | rdn_non_zero(X2) ) ).

cnf(i_0_852,axiom,
    ( X1 != X2
    | ~ sum(X1,X3,X4)
    | sum(X2,X3,X4) ) ).

cnf(i_0_853,axiom,
    ( X1 != X2
    | ~ sum(X3,X1,X4)
    | sum(X3,X2,X4) ) ).

cnf(i_0_854,axiom,
    ( X1 != X2
    | ~ sum(X3,X4,X1)
    | sum(X3,X4,X2) ) ).

cnf(i_0_855,axiom,
    ( X1 != X2
    | ~ rdn_translate(X1,X3)
    | rdn_translate(X2,X3) ) ).

cnf(i_0_856,axiom,
    ( X1 != X2
    | ~ rdn_translate(X3,X1)
    | rdn_translate(X3,X2) ) ).

cnf(i_0_857,axiom,
    ( X1 != X2
    | ~ rdn_positive_less(X1,X3)
    | rdn_positive_less(X2,X3) ) ).

cnf(i_0_858,axiom,
    ( X1 != X2
    | ~ rdn_positive_less(X3,X1)
    | rdn_positive_less(X3,X2) ) ).

cnf(i_0_859,axiom,
    ( X1 != X2
    | ~ difference(X1,X3,X4)
    | difference(X2,X3,X4) ) ).

cnf(i_0_860,axiom,
    ( X1 != X2
    | ~ difference(X3,X1,X4)
    | difference(X3,X2,X4) ) ).

cnf(i_0_861,axiom,
    ( X1 != X2
    | ~ difference(X3,X4,X1)
    | difference(X3,X4,X2) ) ).

cnf(i_0_862,axiom,
    ( X1 != X2
    | ~ less_or_equal(X1,X3)
    | less_or_equal(X2,X3) ) ).

cnf(i_0_863,axiom,
    ( X1 != X2
    | ~ less_or_equal(X3,X1)
    | less_or_equal(X3,X2) ) ).

cnf(i_0_864,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_865,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_839_001,axiom,
    X1 = X1 ).

cnf(i_0_840_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_841_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_842_004,axiom,
    ( X1 != X2
    | ~ rdn_add_with_carry(X1,X3,X4,X5)
    | rdn_add_with_carry(X2,X3,X4,X5) ) ).

cnf(i_0_843_005,axiom,
    ( X1 != X2
    | ~ rdn_add_with_carry(X3,X1,X4,X5)
    | rdn_add_with_carry(X3,X2,X4,X5) ) ).

cnf(i_0_844_006,axiom,
    ( X1 != X2
    | ~ rdn_add_with_carry(X3,X4,X1,X5)
    | rdn_add_with_carry(X3,X4,X2,X5) ) ).

cnf(i_0_845_007,axiom,
    ( X1 != X2
    | ~ rdn_add_with_carry(X3,X4,X5,X1)
    | rdn_add_with_carry(X3,X4,X5,X2) ) ).

cnf(i_0_846_008,axiom,
    ( X1 != X2
    | ~ rdn_non_zero_digit(X1)
    | rdn_non_zero_digit(X2) ) ).

cnf(i_0_847_009,axiom,
    ( X1 != X2
    | ~ rdn_digit_add(X1,X3,X4,X5)
    | rdn_digit_add(X2,X3,X4,X5) ) ).

cnf(i_0_848_010,axiom,
    ( X1 != X2
    | ~ rdn_digit_add(X3,X1,X4,X5)
    | rdn_digit_add(X3,X2,X4,X5) ) ).

cnf(i_0_849_011,axiom,
    ( X1 != X2
    | ~ rdn_digit_add(X3,X4,X1,X5)
    | rdn_digit_add(X3,X4,X2,X5) ) ).

cnf(i_0_850_012,axiom,
    ( X1 != X2
    | ~ rdn_digit_add(X3,X4,X5,X1)
    | rdn_digit_add(X3,X4,X5,X2) ) ).

cnf(i_0_851_013,axiom,
    ( X1 != X2
    | ~ rdn_non_zero(X1)
    | rdn_non_zero(X2) ) ).

cnf(i_0_852_014,axiom,
    ( X1 != X2
    | ~ sum(X1,X3,X4)
    | sum(X2,X3,X4) ) ).

cnf(i_0_853_015,axiom,
    ( X1 != X2
    | ~ sum(X3,X1,X4)
    | sum(X3,X2,X4) ) ).

cnf(i_0_854_016,axiom,
    ( X1 != X2
    | ~ sum(X3,X4,X1)
    | sum(X3,X4,X2) ) ).

cnf(i_0_855_017,axiom,
    ( X1 != X2
    | ~ rdn_translate(X1,X3)
    | rdn_translate(X2,X3) ) ).

cnf(i_0_856_018,axiom,
    ( X1 != X2
    | ~ rdn_translate(X3,X1)
    | rdn_translate(X3,X2) ) ).

cnf(i_0_857_019,axiom,
    ( X1 != X2
    | ~ rdn_positive_less(X1,X3)
    | rdn_positive_less(X2,X3) ) ).

cnf(i_0_858_020,axiom,
    ( X1 != X2
    | ~ rdn_positive_less(X3,X1)
    | rdn_positive_less(X3,X2) ) ).

cnf(i_0_859_021,axiom,
    ( X1 != X2
    | ~ difference(X1,X3,X4)
    | difference(X2,X3,X4) ) ).

cnf(i_0_860_022,axiom,
    ( X1 != X2
    | ~ difference(X3,X1,X4)
    | difference(X3,X2,X4) ) ).

cnf(i_0_861_023,axiom,
    ( X1 != X2
    | ~ difference(X3,X4,X1)
    | difference(X3,X4,X2) ) ).

cnf(i_0_862_024,axiom,
    ( X1 != X2
    | ~ less_or_equal(X1,X3)
    | less_or_equal(X2,X3) ) ).

cnf(i_0_863_025,axiom,
    ( X1 != X2
    | ~ less_or_equal(X3,X1)
    | less_or_equal(X3,X2) ) ).

cnf(i_0_864_026,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_865_027,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_866,plain,
    ~ less(X1,X1),
    inference(equality_inference,[],[800]) ).

cnf(i_0_867,plain,
    less_or_equal(X1,X1),
    inference(equality_inference,[],[829]) ).

cnf(i_0_868,plain,
    sum(n9,nn9,n0),
    inference(scs_inference,[],[i_0_801,i_0_810,i_0_606]) ).

cnf(i_0_869,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_870,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n9),rdnn(n0),rdnn(n9)),
    inference(scs_inference,[],[i_0_801,i_0_810,i_0_450,i_0_606,i_0_435]) ).

cnf(i_0_871,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_872,plain,
    less(nn9,n9),
    inference(scs_inference,[],[i_0_801,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_873,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_874,plain,
    nn9 != n9,
    inference(scs_inference,[],[i_0_866,i_0_801,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864]) ).

cnf(i_0_875,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_876,plain,
    n9 != nn9,
    inference(scs_inference,[],[i_0_866,i_0_875,i_0_801,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865]) ).

cnf(i_0_877,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_878,plain,
    sum(nn9,n9,n0),
    inference(scs_inference,[],[i_0_866,i_0_875,i_0_801,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598]) ).

cnf(i_0_879,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_880,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n9)),
    inference(scs_inference,[],[i_0_866,i_0_875,i_0_877,i_0_801,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598,i_0_609]) ).

cnf(i_0_881,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_882,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_883,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n8)),
    inference(scs_inference,[],[i_0_866,i_0_875,i_0_877,i_0_881,i_0_801,i_0_802,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598,i_0_609,i_0_610]) ).

cnf(i_0_884,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_885,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_886,plain,
    difference(n0,n9,nn9),
    inference(scs_inference,[],[i_0_866,i_0_875,i_0_877,i_0_881,i_0_801,i_0_802,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598,i_0_609,i_0_610,i_0_602]) ).

cnf(i_0_887,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_888,plain,
    ~ less(n9,nn9),
    inference(scs_inference,[],[i_0_866,i_0_875,i_0_877,i_0_881,i_0_801,i_0_802,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598,i_0_609,i_0_610,i_0_602,i_0_795]) ).

cnf(i_0_889,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_890,plain,
    less_or_equal(nn9,n9),
    inference(scs_inference,[],[i_0_866,i_0_875,i_0_877,i_0_881,i_0_801,i_0_802,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598,i_0_609,i_0_610,i_0_602,i_0_795,i_0_797]) ).

cnf(i_0_891,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_892,plain,
    ( X1 != X2
    | ~ difference(X1,n0,X2) ),
    inference(scs_inference,[],[i_0_791,i_0_866,i_0_875,i_0_877,i_0_881,i_0_801,i_0_802,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598,i_0_609,i_0_610,i_0_602,i_0_795,i_0_797,i_0_859]) ).

cnf(i_0_893,plain,
    ~ sum(nn9,nn9,n0),
    inference(scs_inference,[],[i_0_791,i_0_866,i_0_875,i_0_877,i_0_881,i_0_801,i_0_802,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598,i_0_609,i_0_610,i_0_602,i_0_795,i_0_797,i_0_859,i_0_599]) ).

cnf(i_0_894,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X1
    | ~ sum(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_599]) ).

cnf(i_0_895,plain,
    ~ sum(n9,n9,n0),
    inference(scs_inference,[],[i_0_791,i_0_866,i_0_875,i_0_877,i_0_881,i_0_801,i_0_802,i_0_810,i_0_450,i_0_606,i_0_435,i_0_792,i_0_864,i_0_865,i_0_598,i_0_609,i_0_610,i_0_602,i_0_795,i_0_797,i_0_859,i_0_599,i_0_600]) ).

cnf(i_0_896,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_897,plain,
    ~ difference(X1,n0,X1),
    inference(rename_variables,[],[i_0_791]) ).

cnf(i_0_898,plain,
    less_or_equal(X1,X1),
    inference(rename_variables,[],[i_0_867]) ).

cnf(i_0_899,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_901,plain,
    ~ difference(X1,n0,X1),
    inference(equality_inference,[],[892]) ).

cnf(i_0_902,plain,
    difference(n0,nn9,n9),
    inference(scs_inference,[],[i_0_878,i_0_602]) ).

cnf(i_0_903,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_904,plain,
    sum(n7,nn7,n0),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_812,i_0_602,i_0_606]) ).

cnf(i_0_905,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_906,plain,
    ~ less_or_equal(n9,nn9),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_812,i_0_876,i_0_888,i_0_602,i_0_606,i_0_796]) ).

cnf(i_0_907,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_908,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n8),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_812,i_0_876,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435]) ).

cnf(i_0_909,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_910,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n8)),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_812,i_0_820,i_0_876,i_0_880,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608]) ).

cnf(i_0_911,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_912,plain,
    less(nn7,n8),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_811,i_0_812,i_0_820,i_0_876,i_0_880,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_913,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_914,plain,
    rdnn(n8) != rdnn(n9),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_811,i_0_812,i_0_820,i_0_876,i_0_880,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857]) ).

cnf(i_0_915,plain,
    rdnn(n9) != rdnn(n8),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_811,i_0_812,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858]) ).

cnf(i_0_916,plain,
    ~ rdn_positive_less(rdnn(n7),rdnn(n7)),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_811,i_0_812,i_0_866,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_917,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_918,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_919,plain,
    ~ rdn_positive_less(rdnn(n6),rdnn(n6)),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_920,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_921,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_922,plain,
    n8 != nn7,
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_923,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_924,plain,
    ~ less(n8,nn7),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_925,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_926,plain,
    less_or_equal(nn7,n8),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_927,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_928,plain,
    ( less(rdnn(n9),rdnn(n8))
    | less(rdnn(n8),rdnn(n9)) ),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798]) ).

cnf(i_0_929,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_930,plain,
    ~ sum(n7,n8,n0),
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798,i_0_600]) ).

cnf(i_0_931,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_932,plain,
    nn7 != n8,
    inference(scs_inference,[],[i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798,i_0_600,i_0_853]) ).

cnf(i_0_933,plain,
    ( X1 != n0
    | ~ difference(X2,X1,X2) ),
    inference(scs_inference,[],[i_0_791,i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798,i_0_600,i_0_853,i_0_860]) ).

cnf(i_0_934,plain,
    ( X1 != X2
    | ~ difference(X2,n0,X1) ),
    inference(scs_inference,[],[i_0_791,i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798,i_0_600,i_0_853,i_0_860,i_0_861]) ).

cnf(i_0_935,plain,
    ( X1 != n7
    | ~ sum(X1,n8,n0) ),
    inference(scs_inference,[],[i_0_791,i_0_878,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798,i_0_600,i_0_853,i_0_860,i_0_861,i_0_852]) ).

cnf(i_0_936,plain,
    ( X1 != n0
    | ~ sum(nn9,nn9,X1) ),
    inference(scs_inference,[],[i_0_791,i_0_878,i_0_893,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798,i_0_600,i_0_853,i_0_860,i_0_861,i_0_852,i_0_854]) ).

cnf(i_0_937,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n8) != X1 ),
    inference(scs_inference,[],[i_0_791,i_0_878,i_0_893,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_917,i_0_820,i_0_876,i_0_880,i_0_883,i_0_459,i_0_888,i_0_831,i_0_450,i_0_602,i_0_606,i_0_796,i_0_435,i_0_608,i_0_792,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798,i_0_600,i_0_853,i_0_860,i_0_861,i_0_852,i_0_854,i_0_846]) ).

cnf(i_0_938,plain,
    ~ difference(X1,n0,X1),
    inference(equality_inference,[],[933]) ).

cnf(i_0_939,plain,
    ~ difference(X1,n0,X1),
    inference(equality_inference,[],[934]) ).

cnf(i_0_940,plain,
    ~ sum(n7,n8,n0),
    inference(equality_inference,[],[935]) ).

cnf(i_0_941,plain,
    ~ sum(nn9,nn9,n0),
    inference(equality_inference,[],[936]) ).

cnf(i_0_942,plain,
    rdn_non_zero_digit(rdnn(n8)),
    inference(equality_inference,[],[937]) ).

cnf(i_0_943,plain,
    difference(n0,n7,nn7),
    inference(scs_inference,[],[i_0_904,i_0_602]) ).

cnf(i_0_944,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_945,plain,
    sum(n5,nn5,n0),
    inference(scs_inference,[],[i_0_904,i_0_805,i_0_814,i_0_602,i_0_606]) ).

cnf(i_0_946,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_947,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n8),rdnn(n0),rdnn(n8)),
    inference(scs_inference,[],[i_0_904,i_0_805,i_0_814,i_0_460,i_0_602,i_0_606,i_0_435]) ).

cnf(i_0_948,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_949,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n7)),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_821,i_0_805,i_0_814,i_0_460,i_0_602,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_950,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_951,plain,
    less(nn5,n6),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_821,i_0_805,i_0_813,i_0_814,i_0_460,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_952,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_953,plain,
    ~ less_or_equal(n8,nn7),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_813,i_0_814,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_954,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_955,plain,
    rdnn(n7) != rdnn(n9),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_813,i_0_814,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_956,plain,
    rdnn(n8) != rdnn(n7),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_813,i_0_814,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_957,plain,
    ~ rdn_positive_less(rdnn(n5),rdnn(n5)),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_813,i_0_814,i_0_866,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_958,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_959,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_960,plain,
    ~ rdn_positive_less(rdnn(n4),rdnn(n4)),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_961,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_962,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_963,plain,
    n6 != nn5,
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_964,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_965,plain,
    ~ less(n6,nn5),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_966,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_967,plain,
    less_or_equal(nn5,n6),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_968,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_969,plain,
    ~ sum(n5,n6,n0),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_970,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_971,plain,
    ( less(rdnn(n9),rdnn(n7))
    | less(rdnn(n7),rdnn(n9)) ),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_972,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_973,plain,
    nn5 != n6,
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_974,plain,
    ( X1 != n8
    | ~ less(X1,nn7) ),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_975,plain,
    ( X1 != nn7
    | ~ less(n8,X1) ),
    inference(scs_inference,[],[i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_976,plain,
    ( X1 != n0
    | ~ sum(n9,n9,X1) ),
    inference(scs_inference,[],[i_0_895,i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854]) ).

cnf(i_0_977,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n7) != X1 ),
    inference(scs_inference,[],[i_0_895,i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_832,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_846]) ).

cnf(i_0_978,plain,
    ( X1 != n5
    | ~ sum(X1,n6,n0) ),
    inference(scs_inference,[],[i_0_895,i_0_904,i_0_910,i_0_922,i_0_821,i_0_805,i_0_806,i_0_813,i_0_814,i_0_866,i_0_958,i_0_916,i_0_460,i_0_924,i_0_832,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_846,i_0_852]) ).

cnf(i_0_979,plain,
    ~ less(n8,nn7),
    inference(equality_inference,[],[974]) ).

cnf(i_0_980,plain,
    ~ less(n8,nn7),
    inference(equality_inference,[],[975]) ).

cnf(i_0_981,plain,
    ~ sum(n9,n9,n0),
    inference(equality_inference,[],[976]) ).

cnf(i_0_982,plain,
    rdn_non_zero_digit(rdnn(n7)),
    inference(equality_inference,[],[977]) ).

cnf(i_0_983,plain,
    ~ sum(n5,n6,n0),
    inference(equality_inference,[],[978]) ).

cnf(i_0_984,plain,
    difference(n0,n5,nn5),
    inference(scs_inference,[],[i_0_945,i_0_602]) ).

cnf(i_0_985,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_986,plain,
    sum(n3,nn3,n0),
    inference(scs_inference,[],[i_0_945,i_0_807,i_0_816,i_0_602,i_0_606]) ).

cnf(i_0_987,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_988,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n7),rdnn(n2),rdnn(n9)),
    inference(scs_inference,[],[i_0_945,i_0_807,i_0_816,i_0_468,i_0_450,i_0_602,i_0_606,i_0_435]) ).

cnf(i_0_989,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_990,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n6)),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_822,i_0_807,i_0_816,i_0_468,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_991,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_992,plain,
    less(nn3,n4),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_822,i_0_807,i_0_815,i_0_816,i_0_468,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_993,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_994,plain,
    ~ less_or_equal(n6,nn5),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_815,i_0_816,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_995,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_996,plain,
    rdnn(n6) != rdnn(n9),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_815,i_0_816,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_997,plain,
    rdnn(n7) != rdnn(n6),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_815,i_0_816,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_998,plain,
    ~ rdn_positive_less(rdnn(n3),rdnn(n3)),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_815,i_0_816,i_0_866,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_999,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1000,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1001,plain,
    ~ rdn_positive_less(rdnn(n2),rdnn(n2)),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1002,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1003,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1004,plain,
    n4 != nn3,
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1005,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1006,plain,
    ~ less(n4,nn3),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1007,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1008,plain,
    less_or_equal(nn3,n4),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1009,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1010,plain,
    ~ sum(n3,n4,n0),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1011,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1012,plain,
    ( less(rdnn(n7),rdnn(n8))
    | less(rdnn(n8),rdnn(n7)) ),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_956,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1013,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1014,plain,
    nn3 != n4,
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_956,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1015,plain,
    ( X1 != n6
    | ~ less(X1,nn5) ),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_956,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1016,plain,
    ( X1 != nn5
    | ~ less(n6,X1) ),
    inference(scs_inference,[],[i_0_945,i_0_949,i_0_956,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1017,plain,
    ( X1 != n0
    | ~ sum(n7,n8,X1) ),
    inference(scs_inference,[],[i_0_930,i_0_945,i_0_949,i_0_956,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854]) ).

cnf(i_0_1018,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n6) != X1 ),
    inference(scs_inference,[],[i_0_930,i_0_945,i_0_949,i_0_956,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_833,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_846]) ).

cnf(i_0_1019,plain,
    ( X1 != n3
    | ~ sum(X1,n4,n0) ),
    inference(scs_inference,[],[i_0_930,i_0_945,i_0_949,i_0_956,i_0_963,i_0_822,i_0_807,i_0_808,i_0_815,i_0_816,i_0_866,i_0_999,i_0_919,i_0_468,i_0_965,i_0_833,i_0_450,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_846,i_0_852]) ).

cnf(i_0_1020,plain,
    ~ less(n6,nn5),
    inference(equality_inference,[],[1015]) ).

cnf(i_0_1021,plain,
    ~ less(n6,nn5),
    inference(equality_inference,[],[1016]) ).

cnf(i_0_1022,plain,
    ~ sum(n7,n8,n0),
    inference(equality_inference,[],[1017]) ).

cnf(i_0_1023,plain,
    rdn_non_zero_digit(rdnn(n6)),
    inference(equality_inference,[],[1018]) ).

cnf(i_0_1024,plain,
    ~ sum(n3,n4,n0),
    inference(equality_inference,[],[1019]) ).

cnf(i_0_1025,plain,
    difference(n0,n3,nn3),
    inference(scs_inference,[],[i_0_986,i_0_602]) ).

cnf(i_0_1026,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1027,plain,
    sum(n1,nn1,n0),
    inference(scs_inference,[],[i_0_986,i_0_809,i_0_818,i_0_602,i_0_606]) ).

cnf(i_0_1028,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1029,plain,
    rdn_add_with_carry(rdnn(n1),rdnn(n7),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_986,i_0_809,i_0_818,i_0_469,i_0_459,i_0_602,i_0_606,i_0_435]) ).

cnf(i_0_1030,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1031,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n5)),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_823,i_0_809,i_0_818,i_0_469,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_1032,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1033,plain,
    less(nn1,n2),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_823,i_0_809,i_0_817,i_0_818,i_0_469,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_1034,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1035,plain,
    ~ less_or_equal(n4,nn3),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_1036,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1037,plain,
    rdnn(n5) != rdnn(n9),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_1038,plain,
    rdnn(n6) != rdnn(n5),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1039,plain,
    ~ rdn_positive_less(rdnn(n1),rdnn(n1)),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_866,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1040,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1041,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1042,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n1)),rdn(rdnn(n1),rdnn(n1))),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1043,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1044,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1045,plain,
    n2 != nn1,
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1046,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1047,plain,
    ~ less(n2,nn1),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1048,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1049,plain,
    less_or_equal(nn1,n2),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1050,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1051,plain,
    ~ sum(n1,n2,n0),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1052,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1053,plain,
    ( less(rdnn(n9),rdnn(n6))
    | less(rdnn(n6),rdnn(n9)) ),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_996,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1054,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1055,plain,
    nn1 != n2,
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_996,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1056,plain,
    ( X1 != n4
    | ~ less(X1,nn3) ),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_996,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1057,plain,
    ( X1 != nn3
    | ~ less(n4,X1) ),
    inference(scs_inference,[],[i_0_986,i_0_990,i_0_996,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1058,plain,
    ( X1 != n0
    | ~ sum(n5,n6,X1) ),
    inference(scs_inference,[],[i_0_969,i_0_986,i_0_990,i_0_996,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854]) ).

cnf(i_0_1059,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n5) != X1 ),
    inference(scs_inference,[],[i_0_969,i_0_986,i_0_990,i_0_996,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_834,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_846]) ).

cnf(i_0_1060,plain,
    ( X1 != n1
    | ~ sum(X1,n2,n0) ),
    inference(scs_inference,[],[i_0_969,i_0_986,i_0_990,i_0_996,i_0_1004,i_0_823,i_0_809,i_0_817,i_0_818,i_0_699,i_0_866,i_0_1040,i_0_957,i_0_469,i_0_1006,i_0_834,i_0_459,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_846,i_0_852]) ).

cnf(i_0_1061,plain,
    ~ less(n4,nn3),
    inference(equality_inference,[],[1056]) ).

cnf(i_0_1062,plain,
    ~ less(n4,nn3),
    inference(equality_inference,[],[1057]) ).

cnf(i_0_1063,plain,
    ~ sum(n5,n6,n0),
    inference(equality_inference,[],[1058]) ).

cnf(i_0_1064,plain,
    rdn_non_zero_digit(rdnn(n5)),
    inference(equality_inference,[],[1059]) ).

cnf(i_0_1065,plain,
    ~ sum(n1,n2,n0),
    inference(equality_inference,[],[1060]) ).

cnf(i_0_1066,plain,
    difference(n0,n1,nn1),
    inference(scs_inference,[],[i_0_1027,i_0_602]) ).

cnf(i_0_1067,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1068,plain,
    sum(n10,nn10,n0),
    inference(scs_inference,[],[i_0_1027,i_0_700,i_0_790,i_0_602,i_0_606]) ).

cnf(i_0_1069,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1070,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n7),rdnn(n0),rdnn(n7)),
    inference(scs_inference,[],[i_0_1027,i_0_700,i_0_790,i_0_470,i_0_602,i_0_606,i_0_435]) ).

cnf(i_0_1071,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1072,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n4)),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_824,i_0_700,i_0_790,i_0_470,i_0_602,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_1073,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1074,plain,
    less(nn10,n0),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_824,i_0_819,i_0_700,i_0_790,i_0_470,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_1075,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1076,plain,
    ~ less_or_equal(n2,nn1),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_819,i_0_700,i_0_790,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_1077,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1078,plain,
    rdnn(n4) != rdnn(n9),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_819,i_0_700,i_0_790,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_1079,plain,
    rdnn(n2) != rdnn(n1),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1080,plain,
    ~ rdn_positive_less(rdnn(n0),rdnn(n0)),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1081,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1082,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1083,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n1)),rdn(rdnn(n0),rdnn(n1))),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1084,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1085,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1086,plain,
    n0 != nn10,
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1087,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1088,plain,
    ~ less(n0,nn10),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1089,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1090,plain,
    less_or_equal(nn10,n0),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1091,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1092,plain,
    ~ sum(n10,n0,n0),
    inference(scs_inference,[],[i_0_1027,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1093,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1094,plain,
    ( less(rdnn(n6),rdnn(n7))
    | less(rdnn(n7),rdnn(n6)) ),
    inference(scs_inference,[],[i_0_1027,i_0_997,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1095,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1096,plain,
    nn10 != n0,
    inference(scs_inference,[],[i_0_1027,i_0_997,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1097,plain,
    ~ sum(n9,nn9,nn10),
    inference(scs_inference,[],[i_0_868,i_0_1027,i_0_997,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_601]) ).

cnf(i_0_1098,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1099,plain,
    ( X1 != n2
    | ~ less(X1,nn1) ),
    inference(scs_inference,[],[i_0_868,i_0_1027,i_0_997,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_601,i_0_864]) ).

cnf(i_0_1100,plain,
    ( X1 != nn1
    | ~ less(n2,X1) ),
    inference(scs_inference,[],[i_0_868,i_0_1027,i_0_997,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_601,i_0_864,i_0_865]) ).

cnf(i_0_1101,plain,
    ( X1 != n0
    | ~ sum(n3,n4,X1) ),
    inference(scs_inference,[],[i_0_868,i_0_1010,i_0_1027,i_0_997,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_601,i_0_864,i_0_865,i_0_854]) ).

cnf(i_0_1102,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n4) != X1 ),
    inference(scs_inference,[],[i_0_868,i_0_1010,i_0_1027,i_0_997,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_835,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_601,i_0_864,i_0_865,i_0_854,i_0_846]) ).

cnf(i_0_1103,plain,
    ( X1 != n10
    | ~ sum(X1,n0,n0) ),
    inference(scs_inference,[],[i_0_868,i_0_1010,i_0_1027,i_0_997,i_0_1031,i_0_1045,i_0_824,i_0_827,i_0_819,i_0_700,i_0_790,i_0_866,i_0_1081,i_0_1039,i_0_470,i_0_1047,i_0_835,i_0_602,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_601,i_0_864,i_0_865,i_0_854,i_0_846,i_0_852]) ).

cnf(i_0_1104,plain,
    ~ less(n2,nn1),
    inference(equality_inference,[],[1099]) ).

cnf(i_0_1105,plain,
    ~ less(n2,nn1),
    inference(equality_inference,[],[1100]) ).

cnf(i_0_1106,plain,
    ~ sum(n3,n4,n0),
    inference(equality_inference,[],[1101]) ).

cnf(i_0_1107,plain,
    rdn_non_zero_digit(rdnn(n4)),
    inference(equality_inference,[],[1102]) ).

cnf(i_0_1108,plain,
    ~ sum(n10,n0,n0),
    inference(equality_inference,[],[1103]) ).

cnf(i_0_1109,plain,
    difference(n0,n10,nn10),
    inference(scs_inference,[],[i_0_1068,i_0_602]) ).

cnf(i_0_1110,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1111,plain,
    ~ sum(nn9,n9,nn10),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1112,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1113,plain,
    sum(n12,nn12,n0),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_788,i_0_698,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1114,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1115,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n6),rdnn(n3),rdnn(n9)),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_788,i_0_698,i_0_477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1116,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1117,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n3)),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_825,i_0_788,i_0_698,i_0_477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_1118,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1119,plain,
    less(nn12,n11),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_825,i_0_789,i_0_788,i_0_698,i_0_477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_1120,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1121,plain,
    ~ less_or_equal(n0,nn10),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_789,i_0_788,i_0_698,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_1122,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1123,plain,
    rdnn(n3) != rdnn(n9),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_789,i_0_788,i_0_698,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_1124,plain,
    rdnn(n1) != rdnn(n0),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1125,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n2),rdnn(n1))),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_866,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1126,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1127,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1128,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n9)),rdn(rdnn(n9),rdnn(n9))),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1129,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1130,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1131,plain,
    n11 != nn12,
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1132,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1133,plain,
    ~ less(n11,nn12),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1134,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1135,plain,
    less_or_equal(nn12,n11),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1136,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1137,plain,
    ~ sum(n12,n11,n0),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1138,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1139,plain,
    ( less(rdnn(n9),rdnn(n5))
    | less(rdnn(n5),rdnn(n9)) ),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1037,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1140,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1141,plain,
    nn12 != n11,
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1037,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1142,plain,
    ( X1 != n0
    | ~ less(X1,nn10) ),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1037,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1143,plain,
    ( X1 != nn10
    | ~ less(n0,X1) ),
    inference(scs_inference,[],[i_0_878,i_0_1068,i_0_1096,i_0_1037,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1144,plain,
    ( X1 != n0
    | ~ sum(n1,n2,X1) ),
    inference(scs_inference,[],[i_0_878,i_0_1051,i_0_1068,i_0_1096,i_0_1037,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854]) ).

cnf(i_0_1145,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n3) != X1 ),
    inference(scs_inference,[],[i_0_878,i_0_1051,i_0_1068,i_0_1096,i_0_1037,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_836,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_846]) ).

cnf(i_0_1146,plain,
    ( X1 != n9
    | ~ sum(X1,nn9,nn10) ),
    inference(scs_inference,[],[i_0_878,i_0_1051,i_0_1068,i_0_1096,i_0_1097,i_0_1037,i_0_1072,i_0_1086,i_0_825,i_0_828,i_0_789,i_0_788,i_0_698,i_0_611,i_0_866,i_0_1126,i_0_1080,i_0_477,i_0_1088,i_0_836,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_846,i_0_852]) ).

cnf(i_0_1147,plain,
    ~ less(n0,nn10),
    inference(equality_inference,[],[1142]) ).

cnf(i_0_1148,plain,
    ~ less(n0,nn10),
    inference(equality_inference,[],[1143]) ).

cnf(i_0_1149,plain,
    ~ sum(n1,n2,n0),
    inference(equality_inference,[],[1144]) ).

cnf(i_0_1150,plain,
    rdn_non_zero_digit(rdnn(n3)),
    inference(equality_inference,[],[1145]) ).

cnf(i_0_1151,plain,
    ~ sum(n9,nn9,nn10),
    inference(equality_inference,[],[1146]) ).

cnf(i_0_1152,plain,
    difference(n0,n12,nn12),
    inference(scs_inference,[],[i_0_1113,i_0_602]) ).

cnf(i_0_1153,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1154,plain,
    ~ sum(n12,nn12,nn10),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1155,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1156,plain,
    sum(n98,nn98,n0),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_702,i_0_612,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1157,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1158,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n6),rdnn(n2),rdnn(n8)),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_702,i_0_612,i_0_478,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1159,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1160,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n2)),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_826,i_0_702,i_0_612,i_0_478,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_1161,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1162,plain,
    less(nn98,n99),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_826,i_0_701,i_0_702,i_0_612,i_0_478,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_1163,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1164,plain,
    ~ less_or_equal(n11,nn12),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_1165,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1166,plain,
    rdnn(n2) != rdnn(n9),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_1167,plain,
    rdnn(n3) != rdnn(n2),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1168,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n9)),rdn(rdnn(n8),rdnn(n9))),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_866,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1169,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1170,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1171,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n9)),rdn(rdnn(n7),rdnn(n9))),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1172,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1173,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1174,plain,
    n99 != nn98,
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1175,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1176,plain,
    ~ less(n99,nn98),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1177,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1178,plain,
    less_or_equal(nn98,n99),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1179,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1180,plain,
    ~ sum(n98,n99,n0),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1181,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1182,plain,
    ( less(rdnn(n5),rdnn(n6))
    | less(rdnn(n6),rdnn(n5)) ),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1038,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1183,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1184,plain,
    nn98 != n99,
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1038,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1185,plain,
    ( X1 != n11
    | ~ less(X1,nn12) ),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1038,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1186,plain,
    ( X1 != nn12
    | ~ less(n11,X1) ),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1038,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1187,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n2) != X1 ),
    inference(scs_inference,[],[i_0_1113,i_0_1096,i_0_1038,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_837,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846]) ).

cnf(i_0_1188,plain,
    ( X1 != n0
    | ~ sum(n10,n0,X1) ),
    inference(scs_inference,[],[i_0_1092,i_0_1113,i_0_1096,i_0_1038,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_837,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846,i_0_854]) ).

cnf(i_0_1189,plain,
    ( X1 != nn9
    | ~ sum(X1,n9,nn10) ),
    inference(scs_inference,[],[i_0_1092,i_0_1111,i_0_1113,i_0_1096,i_0_1038,i_0_1117,i_0_1131,i_0_826,i_0_701,i_0_702,i_0_612,i_0_613,i_0_866,i_0_1169,i_0_1001,i_0_478,i_0_1133,i_0_837,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846,i_0_854,i_0_852]) ).

cnf(i_0_1190,plain,
    ~ less(n11,nn12),
    inference(equality_inference,[],[1185]) ).

cnf(i_0_1191,plain,
    ~ less(n11,nn12),
    inference(equality_inference,[],[1186]) ).

cnf(i_0_1192,plain,
    rdn_non_zero_digit(rdnn(n2)),
    inference(equality_inference,[],[1187]) ).

cnf(i_0_1193,plain,
    ~ sum(n10,n0,n0),
    inference(equality_inference,[],[1188]) ).

cnf(i_0_1194,plain,
    ~ sum(nn9,n9,nn10),
    inference(equality_inference,[],[1189]) ).

cnf(i_0_1195,plain,
    difference(n0,n98,nn98),
    inference(scs_inference,[],[i_0_1156,i_0_602]) ).

cnf(i_0_1196,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1197,plain,
    ~ sum(n98,nn98,nn10),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1198,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1199,plain,
    sum(n96,nn96,n0),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_704,i_0_614,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1200,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1201,plain,
    rdn_add_with_carry(rdnn(n2),rdnn(n6),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_704,i_0_614,i_0_479,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1202,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1203,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n1)),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_704,i_0_614,i_0_827,i_0_479,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_1204,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1205,plain,
    less(nn96,n97),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_703,i_0_704,i_0_614,i_0_827,i_0_479,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_1206,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1207,plain,
    ~ less_or_equal(n99,nn98),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_827,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_1208,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1209,plain,
    rdnn(n1) != rdnn(n9),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_827,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_1210,plain,
    rdnn(n5) != rdnn(n4),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_827,i_0_824,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1211,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n9)),rdn(rdnn(n6),rdnn(n9))),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_827,i_0_824,i_0_866,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1212,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1213,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1214,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n9)),rdn(rdnn(n5),rdnn(n9))),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1215,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1216,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1217,plain,
    n97 != nn96,
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1218,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1219,plain,
    ~ less(n97,nn96),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1220,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1221,plain,
    less_or_equal(nn96,n97),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1222,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1223,plain,
    ~ sum(n96,n97,n0),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1224,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1225,plain,
    ( less(rdnn(n9),rdnn(n4))
    | less(rdnn(n4),rdnn(n9)) ),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1078,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1226,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1227,plain,
    nn96 != n97,
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1078,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1228,plain,
    ( X1 != n99
    | ~ less(X1,nn98) ),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1078,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1229,plain,
    ( X1 != nn98
    | ~ less(n99,X1) ),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1078,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1230,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n1) != X1 ),
    inference(scs_inference,[],[i_0_1156,i_0_1096,i_0_1078,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_838,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846]) ).

cnf(i_0_1231,plain,
    ( X1 != n0
    | ~ sum(n12,n11,X1) ),
    inference(scs_inference,[],[i_0_1137,i_0_1156,i_0_1096,i_0_1078,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_838,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846,i_0_854]) ).

cnf(i_0_1232,plain,
    ( X1 != n12
    | ~ sum(X1,n11,n0) ),
    inference(scs_inference,[],[i_0_1137,i_0_1156,i_0_1096,i_0_1078,i_0_1160,i_0_1174,i_0_703,i_0_704,i_0_614,i_0_615,i_0_827,i_0_824,i_0_866,i_0_1212,i_0_960,i_0_479,i_0_1176,i_0_838,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846,i_0_854,i_0_852]) ).

cnf(i_0_1233,plain,
    ~ less(n99,nn98),
    inference(equality_inference,[],[1228]) ).

cnf(i_0_1234,plain,
    ~ less(n99,nn98),
    inference(equality_inference,[],[1229]) ).

cnf(i_0_1235,plain,
    rdn_non_zero_digit(rdnn(n1)),
    inference(equality_inference,[],[1230]) ).

cnf(i_0_1236,plain,
    ~ sum(n12,n11,n0),
    inference(equality_inference,[],[1231]) ).

cnf(i_0_1237,plain,
    ~ sum(n12,n11,n0),
    inference(equality_inference,[],[1232]) ).

cnf(i_0_1238,plain,
    difference(n0,n96,nn96),
    inference(scs_inference,[],[i_0_1199,i_0_602]) ).

cnf(i_0_1239,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1240,plain,
    ~ sum(n96,nn96,nn10),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1241,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1242,plain,
    sum(n94,nn94,n0),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_706,i_0_616,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1243,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1244,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n6),rdnn(n0),rdnn(n6)),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_706,i_0_616,i_0_480,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1245,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1246,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n0)),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_706,i_0_616,i_0_828,i_0_480,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_1247,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1248,plain,
    less(nn94,n95),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_705,i_0_706,i_0_616,i_0_828,i_0_480,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_1249,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1250,plain,
    ~ less_or_equal(n97,nn96),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_828,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_1251,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1252,plain,
    rdnn(n0) != rdnn(n9),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_828,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_1253,plain,
    rdnn(n4) != rdnn(n3),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_828,i_0_825,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1254,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n9)),rdn(rdnn(n4),rdnn(n9))),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_828,i_0_825,i_0_866,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1255,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1256,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1257,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n9)),rdn(rdnn(n3),rdnn(n9))),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1258,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1259,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1260,plain,
    n95 != nn94,
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1261,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1262,plain,
    ~ less(n95,nn94),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1263,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1264,plain,
    less_or_equal(nn94,n95),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1265,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1266,plain,
    ~ sum(n94,n95,n0),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1267,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1268,plain,
    ( less(rdnn(n1),rdnn(n2))
    | less(rdnn(n2),rdnn(n1)) ),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1079,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1269,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1270,plain,
    nn94 != n95,
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1079,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1271,plain,
    ( X1 != n97
    | ~ less(X1,nn96) ),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1079,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1272,plain,
    ( X1 != nn96
    | ~ less(n97,X1) ),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1079,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1273,plain,
    ( rdn_non_zero_digit(X1)
    | rdnn(n9) != X1 ),
    inference(scs_inference,[],[i_0_1199,i_0_1096,i_0_1079,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_830,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846]) ).

cnf(i_0_1274,plain,
    ( X1 != n0
    | ~ sum(n98,n99,X1) ),
    inference(scs_inference,[],[i_0_1180,i_0_1199,i_0_1096,i_0_1079,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_830,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846,i_0_854]) ).

cnf(i_0_1275,plain,
    ( X1 != n98
    | ~ sum(X1,n99,n0) ),
    inference(scs_inference,[],[i_0_1180,i_0_1199,i_0_1096,i_0_1079,i_0_1203,i_0_1217,i_0_705,i_0_706,i_0_616,i_0_617,i_0_828,i_0_825,i_0_866,i_0_1255,i_0_998,i_0_480,i_0_1219,i_0_830,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_846,i_0_854,i_0_852]) ).

cnf(i_0_1276,plain,
    ~ less(n97,nn96),
    inference(equality_inference,[],[1271]) ).

cnf(i_0_1277,plain,
    ~ less(n97,nn96),
    inference(equality_inference,[],[1272]) ).

cnf(i_0_1278,plain,
    rdn_non_zero_digit(rdnn(n9)),
    inference(equality_inference,[],[1273]) ).

cnf(i_0_1279,plain,
    ~ sum(n98,n99,n0),
    inference(equality_inference,[],[1274]) ).

cnf(i_0_1280,plain,
    ~ sum(n98,n99,n0),
    inference(equality_inference,[],[1275]) ).

cnf(i_0_1281,plain,
    difference(n0,n94,nn94),
    inference(scs_inference,[],[i_0_1242,i_0_602]) ).

cnf(i_0_1282,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1283,plain,
    ~ sum(n94,nn94,nn10),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1284,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1285,plain,
    sum(n92,nn92,n0),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_708,i_0_618,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1286,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1287,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n5),rdnn(n4),rdnn(n9)),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_708,i_0_618,i_0_486,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1288,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1289,plain,
    ~ rdn_positive_less(rdnn(n2),rdnn(n1)),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_708,i_0_618,i_0_827,i_0_486,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608]) ).

cnf(i_0_1290,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1291,plain,
    less(nn92,n93),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_707,i_0_708,i_0_618,i_0_827,i_0_486,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792]) ).

cnf(i_0_1292,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1293,plain,
    ~ less_or_equal(n95,nn94),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_827,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796]) ).

cnf(i_0_1294,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1295,plain,
    rdnn(n0) != rdnn(n1),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_827,i_0_828,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857]) ).

cnf(i_0_1296,plain,
    rdnn(n3) != rdnn(n1),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_826,i_0_827,i_0_828,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1297,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n9)),rdn(rdnn(n2),rdnn(n9))),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_826,i_0_827,i_0_828,i_0_866,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1298,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1299,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1300,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n9)),rdn(rdnn(n1),rdnn(n9))),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1301,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1302,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1303,plain,
    n93 != nn92,
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1304,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1305,plain,
    ~ less(n93,nn92),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1306,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1307,plain,
    less_or_equal(nn92,n93),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1308,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1309,plain,
    ~ sum(n92,n93,n0),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1310,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1311,plain,
    ( less(rdnn(n9),rdnn(n3))
    | less(rdnn(n3),rdnn(n9)) ),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1123,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1312,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1313,plain,
    nn92 != n93,
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1123,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1314,plain,
    ( X1 != n95
    | ~ less(X1,nn94) ),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1123,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1315,plain,
    ( X1 != nn94
    | ~ less(n95,X1) ),
    inference(scs_inference,[],[i_0_1242,i_0_1096,i_0_1123,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1316,plain,
    ( X1 != n0
    | ~ sum(n96,n97,X1) ),
    inference(scs_inference,[],[i_0_1223,i_0_1242,i_0_1096,i_0_1123,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854]) ).

cnf(i_0_1317,plain,
    ( X1 != n12
    | ~ sum(X1,nn12,nn10) ),
    inference(scs_inference,[],[i_0_1154,i_0_1223,i_0_1242,i_0_1096,i_0_1123,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_852]) ).

cnf(i_0_1318,plain,
    ( ~ sum(n93,nn92,X1)
    | sum(nn92,n93,X1) ),
    inference(scs_inference,[],[i_0_1154,i_0_1223,i_0_1242,i_0_1096,i_0_1123,i_0_1260,i_0_707,i_0_708,i_0_618,i_0_619,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1298,i_0_486,i_0_1262,i_0_1039,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_608,i_0_792,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_854,i_0_852,i_0_598]) ).

cnf(i_0_1319,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1320,plain,
    ~ less(n95,nn94),
    inference(equality_inference,[],[1314]) ).

cnf(i_0_1321,plain,
    ~ less(n95,nn94),
    inference(equality_inference,[],[1315]) ).

cnf(i_0_1322,plain,
    ~ sum(n96,n97,n0),
    inference(equality_inference,[],[1316]) ).

cnf(i_0_1323,plain,
    ~ sum(n12,nn12,nn10),
    inference(equality_inference,[],[1317]) ).

cnf(i_0_1324,plain,
    difference(n0,n92,nn92),
    inference(scs_inference,[],[i_0_1285,i_0_602]) ).

cnf(i_0_1325,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1326,plain,
    ~ sum(n92,nn92,nn10),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1327,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1328,plain,
    sum(n90,nn90,n0),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_710,i_0_620,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1329,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1330,plain,
    rdn_add_with_carry(rdnn(n1),rdnn(n5),rdnn(n3),rdnn(n9)),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_710,i_0_620,i_0_487,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1331,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1332,plain,
    less(nn90,n91),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_709,i_0_710,i_0_620,i_0_487,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1333,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1334,plain,
    ~ rdn_positive_less(rdnn(n3),rdnn(n1)),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_709,i_0_710,i_0_620,i_0_826,i_0_487,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1335,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1336,plain,
    ~ less_or_equal(n93,nn92),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_826,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1337,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1338,plain,
    rdnn(n0) != rdnn(n2),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_826,i_0_828,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1339,plain,
    rdnn(n4) != rdnn(n1),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_825,i_0_826,i_0_828,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1340,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n9)),rdn(rdnn(n0),rdnn(n9))),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_825,i_0_826,i_0_828,i_0_866,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1341,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1342,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1343,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n8)),rdn(rdnn(n9),rdnn(n8))),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1344,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1345,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1346,plain,
    n91 != nn90,
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1347,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1348,plain,
    ~ less(n91,nn90),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1349,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1350,plain,
    less_or_equal(nn90,n91),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1351,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1352,plain,
    ~ sum(n90,n91,n0),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1353,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1354,plain,
    ( less(rdnn(n0),rdnn(n1))
    | less(rdnn(n1),rdnn(n0)) ),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1124,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1355,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1356,plain,
    nn90 != n91,
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1124,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1357,plain,
    ( X1 != n93
    | ~ less(X1,nn92) ),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1124,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1358,plain,
    ( X1 != nn92
    | ~ less(n93,X1) ),
    inference(scs_inference,[],[i_0_1285,i_0_1096,i_0_1124,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1359,plain,
    ( X1 != n98
    | ~ sum(X1,nn98,nn10) ),
    inference(scs_inference,[],[i_0_1197,i_0_1285,i_0_1096,i_0_1124,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1360,plain,
    ( X1 != n0
    | ~ sum(n94,n95,X1) ),
    inference(scs_inference,[],[i_0_1197,i_0_1266,i_0_1285,i_0_1096,i_0_1124,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1361,plain,
    ( ~ sum(n91,nn90,X1)
    | sum(nn90,n91,X1) ),
    inference(scs_inference,[],[i_0_1197,i_0_1266,i_0_1285,i_0_1096,i_0_1124,i_0_1289,i_0_1303,i_0_709,i_0_710,i_0_620,i_0_621,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1341,i_0_487,i_0_1305,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1362,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1363,plain,
    ~ less(n93,nn92),
    inference(equality_inference,[],[1357]) ).

cnf(i_0_1364,plain,
    ~ less(n93,nn92),
    inference(equality_inference,[],[1358]) ).

cnf(i_0_1365,plain,
    ~ sum(n98,nn98,nn10),
    inference(equality_inference,[],[1359]) ).

cnf(i_0_1366,plain,
    ~ sum(n94,n95,n0),
    inference(equality_inference,[],[1360]) ).

cnf(i_0_1367,plain,
    difference(n0,n90,nn90),
    inference(scs_inference,[],[i_0_1328,i_0_602]) ).

cnf(i_0_1368,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1369,plain,
    ~ sum(n90,nn90,nn10),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1370,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1371,plain,
    sum(n88,nn88,n0),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_712,i_0_622,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1372,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1373,plain,
    rdn_add_with_carry(rdnn(n1),rdnn(n5),rdnn(n2),rdnn(n8)),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_712,i_0_622,i_0_488,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1374,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1375,plain,
    less(nn88,n89),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_711,i_0_712,i_0_622,i_0_488,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1376,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1377,plain,
    ~ rdn_positive_less(rdnn(n4),rdnn(n1)),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_711,i_0_712,i_0_622,i_0_825,i_0_488,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1378,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1379,plain,
    ~ less_or_equal(n91,nn90),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_825,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1380,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1381,plain,
    rdnn(n0) != rdnn(n3),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_825,i_0_828,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1382,plain,
    rdnn(n5) != rdnn(n1),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_824,i_0_825,i_0_828,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1383,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n8)),rdn(rdnn(n8),rdnn(n8))),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_824,i_0_825,i_0_828,i_0_866,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1384,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1385,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1386,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n8)),rdn(rdnn(n7),rdnn(n8))),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1387,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1388,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1389,plain,
    n89 != nn88,
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1390,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1391,plain,
    ~ less(n89,nn88),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1392,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1393,plain,
    less_or_equal(nn88,n89),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1394,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1395,plain,
    ~ sum(n88,n89,n0),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1396,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1397,plain,
    ( less(rdnn(n2),rdnn(n3))
    | less(rdnn(n3),rdnn(n2)) ),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1167,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1398,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1399,plain,
    nn88 != n89,
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1167,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1400,plain,
    ( X1 != n91
    | ~ less(X1,nn90) ),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1167,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1401,plain,
    ( X1 != nn90
    | ~ less(n91,X1) ),
    inference(scs_inference,[],[i_0_1328,i_0_1096,i_0_1167,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1402,plain,
    ( X1 != n96
    | ~ sum(X1,n97,n0) ),
    inference(scs_inference,[],[i_0_1223,i_0_1328,i_0_1096,i_0_1167,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1403,plain,
    ( X1 != n0
    | ~ sum(n92,n93,X1) ),
    inference(scs_inference,[],[i_0_1223,i_0_1309,i_0_1328,i_0_1096,i_0_1167,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1404,plain,
    ( ~ sum(n89,nn88,X1)
    | sum(nn88,n89,X1) ),
    inference(scs_inference,[],[i_0_1223,i_0_1309,i_0_1328,i_0_1096,i_0_1167,i_0_1334,i_0_1346,i_0_711,i_0_712,i_0_622,i_0_623,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1384,i_0_488,i_0_1348,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1405,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1406,plain,
    ~ less(n91,nn90),
    inference(equality_inference,[],[1400]) ).

cnf(i_0_1407,plain,
    ~ less(n91,nn90),
    inference(equality_inference,[],[1401]) ).

cnf(i_0_1408,plain,
    ~ sum(n96,n97,n0),
    inference(equality_inference,[],[1402]) ).

cnf(i_0_1409,plain,
    ~ sum(n92,n93,n0),
    inference(equality_inference,[],[1403]) ).

cnf(i_0_1410,plain,
    difference(n0,n88,nn88),
    inference(scs_inference,[],[i_0_1371,i_0_602]) ).

cnf(i_0_1411,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1412,plain,
    ~ sum(n88,nn88,nn10),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1413,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1414,plain,
    sum(n86,nn86,n0),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_714,i_0_624,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1415,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1416,plain,
    rdn_add_with_carry(rdnn(n3),rdnn(n5),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_714,i_0_624,i_0_489,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1417,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1418,plain,
    less(nn86,n87),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_713,i_0_714,i_0_624,i_0_489,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1419,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1420,plain,
    ~ rdn_positive_less(rdnn(n5),rdnn(n1)),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_713,i_0_714,i_0_624,i_0_824,i_0_489,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1421,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1422,plain,
    ~ less_or_equal(n89,nn88),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_824,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1423,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1424,plain,
    rdnn(n0) != rdnn(n4),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_824,i_0_828,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1425,plain,
    rdnn(n6) != rdnn(n1),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_823,i_0_824,i_0_828,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1426,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n8)),rdn(rdnn(n6),rdnn(n8))),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_823,i_0_824,i_0_828,i_0_866,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1427,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1428,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1429,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n8)),rdn(rdnn(n5),rdnn(n8))),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1430,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1431,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1432,plain,
    n87 != nn86,
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1433,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1434,plain,
    ~ less(n87,nn86),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1435,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1436,plain,
    less_or_equal(nn86,n87),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1437,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1438,plain,
    ~ sum(n86,n87,n0),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1439,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1440,plain,
    ( less(rdnn(n4),rdnn(n5))
    | less(rdnn(n5),rdnn(n4)) ),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1210,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1441,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1442,plain,
    nn86 != n87,
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1210,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1443,plain,
    ( X1 != n89
    | ~ less(X1,nn88) ),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1210,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1444,plain,
    ( X1 != nn88
    | ~ less(n89,X1) ),
    inference(scs_inference,[],[i_0_1371,i_0_1096,i_0_1210,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1445,plain,
    ( X1 != n96
    | ~ sum(X1,nn96,nn10) ),
    inference(scs_inference,[],[i_0_1240,i_0_1371,i_0_1096,i_0_1210,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1446,plain,
    ( X1 != n0
    | ~ sum(n90,n91,X1) ),
    inference(scs_inference,[],[i_0_1240,i_0_1352,i_0_1371,i_0_1096,i_0_1210,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1447,plain,
    ( ~ sum(n87,nn86,X1)
    | sum(nn86,n87,X1) ),
    inference(scs_inference,[],[i_0_1240,i_0_1352,i_0_1371,i_0_1096,i_0_1210,i_0_1377,i_0_1389,i_0_713,i_0_714,i_0_624,i_0_625,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1427,i_0_489,i_0_1391,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1448,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1449,plain,
    ~ less(n89,nn88),
    inference(equality_inference,[],[1443]) ).

cnf(i_0_1450,plain,
    ~ less(n89,nn88),
    inference(equality_inference,[],[1444]) ).

cnf(i_0_1451,plain,
    ~ sum(n96,nn96,nn10),
    inference(equality_inference,[],[1445]) ).

cnf(i_0_1452,plain,
    ~ sum(n90,n91,n0),
    inference(equality_inference,[],[1446]) ).

cnf(i_0_1453,plain,
    difference(n0,n86,nn86),
    inference(scs_inference,[],[i_0_1414,i_0_602]) ).

cnf(i_0_1454,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1455,plain,
    ~ sum(n86,nn86,nn10),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1456,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1457,plain,
    sum(n84,nn84,n0),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_716,i_0_626,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1458,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1459,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n5),rdnn(n0),rdnn(n5)),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_716,i_0_626,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1460,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1461,plain,
    less(nn84,n85),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_715,i_0_716,i_0_626,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1462,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1463,plain,
    ~ rdn_positive_less(rdnn(n6),rdnn(n1)),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_715,i_0_716,i_0_626,i_0_823,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1464,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1465,plain,
    ~ less_or_equal(n87,nn86),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_823,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1466,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1467,plain,
    rdnn(n0) != rdnn(n5),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_823,i_0_828,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1468,plain,
    rdnn(n7) != rdnn(n1),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_822,i_0_823,i_0_828,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1469,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n8)),rdn(rdnn(n4),rdnn(n8))),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_822,i_0_823,i_0_828,i_0_866,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1470,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1471,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1472,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n8)),rdn(rdnn(n3),rdnn(n8))),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1473,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1474,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1475,plain,
    n85 != nn84,
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1476,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1477,plain,
    ~ less(n85,nn84),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1478,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1479,plain,
    less_or_equal(nn84,n85),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1480,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1481,plain,
    ~ sum(n84,n85,n0),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1482,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1483,plain,
    ( less(rdnn(n3),rdnn(n4))
    | less(rdnn(n4),rdnn(n3)) ),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1253,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1484,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1485,plain,
    nn84 != n85,
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1253,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1486,plain,
    ( X1 != n87
    | ~ less(X1,nn86) ),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1253,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1487,plain,
    ( X1 != nn86
    | ~ less(n87,X1) ),
    inference(scs_inference,[],[i_0_1414,i_0_1096,i_0_1253,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1488,plain,
    ( X1 != n94
    | ~ sum(X1,n95,n0) ),
    inference(scs_inference,[],[i_0_1266,i_0_1414,i_0_1096,i_0_1253,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1489,plain,
    ( X1 != n0
    | ~ sum(n88,n89,X1) ),
    inference(scs_inference,[],[i_0_1266,i_0_1395,i_0_1414,i_0_1096,i_0_1253,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1490,plain,
    ( ~ sum(n85,nn84,X1)
    | sum(nn84,n85,X1) ),
    inference(scs_inference,[],[i_0_1266,i_0_1395,i_0_1414,i_0_1096,i_0_1253,i_0_1420,i_0_1432,i_0_715,i_0_716,i_0_626,i_0_627,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1470,i_0_490,i_0_1434,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1491,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1492,plain,
    ~ less(n87,nn86),
    inference(equality_inference,[],[1486]) ).

cnf(i_0_1493,plain,
    ~ less(n87,nn86),
    inference(equality_inference,[],[1487]) ).

cnf(i_0_1494,plain,
    ~ sum(n94,n95,n0),
    inference(equality_inference,[],[1488]) ).

cnf(i_0_1495,plain,
    ~ sum(n88,n89,n0),
    inference(equality_inference,[],[1489]) ).

cnf(i_0_1496,plain,
    difference(n0,n84,nn84),
    inference(scs_inference,[],[i_0_1457,i_0_602]) ).

cnf(i_0_1497,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1498,plain,
    ~ sum(n84,nn84,nn10),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1499,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1500,plain,
    sum(n82,nn82,n0),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_718,i_0_628,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1501,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1502,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n5),rdnn(n9)),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_718,i_0_628,i_0_495,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1503,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1504,plain,
    less(nn82,n83),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_717,i_0_718,i_0_628,i_0_495,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1505,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1506,plain,
    ~ rdn_positive_less(rdnn(n7),rdnn(n1)),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_717,i_0_718,i_0_628,i_0_822,i_0_495,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1507,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1508,plain,
    ~ less_or_equal(n85,nn84),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_822,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1509,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1510,plain,
    rdnn(n0) != rdnn(n6),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_822,i_0_828,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1511,plain,
    rdnn(n8) != rdnn(n1),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_821,i_0_822,i_0_828,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1512,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n8)),rdn(rdnn(n2),rdnn(n8))),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_821,i_0_822,i_0_828,i_0_866,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1513,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1514,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1515,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n8)),rdn(rdnn(n1),rdnn(n8))),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1516,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1517,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1518,plain,
    n83 != nn82,
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1519,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1520,plain,
    ~ less(n83,nn82),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1521,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1522,plain,
    less_or_equal(nn82,n83),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1523,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1524,plain,
    ~ sum(n82,n83,n0),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1525,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1526,plain,
    ( less(rdnn(n1),rdnn(n3))
    | less(rdnn(n3),rdnn(n1)) ),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1296,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1527,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1528,plain,
    nn82 != n83,
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1296,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1529,plain,
    ( X1 != n85
    | ~ less(X1,nn84) ),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1296,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1530,plain,
    ( X1 != nn84
    | ~ less(n85,X1) ),
    inference(scs_inference,[],[i_0_1457,i_0_1096,i_0_1296,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1531,plain,
    ( X1 != n94
    | ~ sum(X1,nn94,nn10) ),
    inference(scs_inference,[],[i_0_1283,i_0_1457,i_0_1096,i_0_1296,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1532,plain,
    ( X1 != n0
    | ~ sum(n86,n87,X1) ),
    inference(scs_inference,[],[i_0_1283,i_0_1438,i_0_1457,i_0_1096,i_0_1296,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1533,plain,
    ( ~ sum(n83,nn82,X1)
    | sum(nn82,n83,X1) ),
    inference(scs_inference,[],[i_0_1283,i_0_1438,i_0_1457,i_0_1096,i_0_1296,i_0_1463,i_0_1475,i_0_717,i_0_718,i_0_628,i_0_629,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1513,i_0_495,i_0_1477,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1534,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1535,plain,
    ~ less(n85,nn84),
    inference(equality_inference,[],[1529]) ).

cnf(i_0_1536,plain,
    ~ less(n85,nn84),
    inference(equality_inference,[],[1530]) ).

cnf(i_0_1537,plain,
    ~ sum(n94,nn94,nn10),
    inference(equality_inference,[],[1531]) ).

cnf(i_0_1538,plain,
    ~ sum(n86,n87,n0),
    inference(equality_inference,[],[1532]) ).

cnf(i_0_1539,plain,
    difference(n0,n82,nn82),
    inference(scs_inference,[],[i_0_1500,i_0_602]) ).

cnf(i_0_1540,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1541,plain,
    ~ sum(n82,nn82,nn10),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1542,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1543,plain,
    sum(n80,nn80,n0),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_720,i_0_630,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1544,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1545,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n8)),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_720,i_0_630,i_0_496,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1546,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1547,plain,
    less(nn80,n81),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_719,i_0_720,i_0_630,i_0_496,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1548,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1549,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n1)),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_719,i_0_720,i_0_630,i_0_821,i_0_496,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1550,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1551,plain,
    ~ less_or_equal(n83,nn82),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_821,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1552,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1553,plain,
    rdnn(n0) != rdnn(n7),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_821,i_0_828,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1554,plain,
    rdnn(n9) != rdnn(n1),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_821,i_0_820,i_0_828,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1555,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n8)),rdn(rdnn(n0),rdnn(n8))),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_821,i_0_820,i_0_828,i_0_866,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1556,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1557,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1558,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n7)),rdn(rdnn(n9),rdnn(n7))),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1559,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1560,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1561,plain,
    n81 != nn80,
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1562,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1563,plain,
    ~ less(n81,nn80),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1564,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1565,plain,
    less_or_equal(nn80,n81),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1566,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1567,plain,
    ~ sum(n80,n81,n0),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1568,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1569,plain,
    ( less(rdnn(n1),rdnn(n4))
    | less(rdnn(n4),rdnn(n1)) ),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1339,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1570,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1571,plain,
    nn80 != n81,
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1339,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1572,plain,
    ( X1 != n83
    | ~ less(X1,nn82) ),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1339,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1573,plain,
    ( X1 != nn82
    | ~ less(n83,X1) ),
    inference(scs_inference,[],[i_0_1500,i_0_1096,i_0_1339,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1574,plain,
    ( X1 != n92
    | ~ sum(X1,n93,n0) ),
    inference(scs_inference,[],[i_0_1309,i_0_1500,i_0_1096,i_0_1339,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1575,plain,
    ( X1 != n0
    | ~ sum(n84,n85,X1) ),
    inference(scs_inference,[],[i_0_1309,i_0_1481,i_0_1500,i_0_1096,i_0_1339,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1576,plain,
    ( ~ sum(n81,nn80,X1)
    | sum(nn80,n81,X1) ),
    inference(scs_inference,[],[i_0_1309,i_0_1481,i_0_1500,i_0_1096,i_0_1339,i_0_1506,i_0_1518,i_0_719,i_0_720,i_0_630,i_0_631,i_0_821,i_0_820,i_0_828,i_0_866,i_0_1556,i_0_496,i_0_1520,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1577,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1578,plain,
    ~ less(n83,nn82),
    inference(equality_inference,[],[1572]) ).

cnf(i_0_1579,plain,
    ~ less(n83,nn82),
    inference(equality_inference,[],[1573]) ).

cnf(i_0_1580,plain,
    ~ sum(n92,n93,n0),
    inference(equality_inference,[],[1574]) ).

cnf(i_0_1581,plain,
    ~ sum(n84,n85,n0),
    inference(equality_inference,[],[1575]) ).

cnf(i_0_1582,plain,
    difference(n0,n80,nn80),
    inference(scs_inference,[],[i_0_1543,i_0_602]) ).

cnf(i_0_1583,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1584,plain,
    ~ sum(n80,nn80,nn10),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1585,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1586,plain,
    sum(n78,nn78,n0),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_722,i_0_632,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1587,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1588,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n3),rdnn(n7)),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_722,i_0_632,i_0_497,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1589,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1590,plain,
    less(nn78,n79),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_721,i_0_722,i_0_632,i_0_497,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1591,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1592,plain,
    ~ rdn_positive_less(rdnn(n3),rdnn(n2)),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_721,i_0_722,i_0_632,i_0_826,i_0_497,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1593,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1594,plain,
    ~ less_or_equal(n81,nn80),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_826,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1595,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1596,plain,
    rdnn(n0) != rdnn(n8),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_826,i_0_828,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1597,plain,
    rdnn(n4) != rdnn(n2),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_825,i_0_826,i_0_828,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1598,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_825,i_0_826,i_0_828,i_0_866,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1599,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1600,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1601,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n7)),rdn(rdnn(n7),rdnn(n7))),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1602,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1603,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1604,plain,
    n79 != nn78,
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1605,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1606,plain,
    ~ less(n79,nn78),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1607,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1608,plain,
    less_or_equal(nn78,n79),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1609,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1610,plain,
    ~ sum(n78,n79,n0),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1611,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1612,plain,
    ( less(rdnn(n1),rdnn(n5))
    | less(rdnn(n5),rdnn(n1)) ),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1382,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1613,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1614,plain,
    nn78 != n79,
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1382,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1615,plain,
    ( X1 != n81
    | ~ less(X1,nn80) ),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1382,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1616,plain,
    ( X1 != nn80
    | ~ less(n81,X1) ),
    inference(scs_inference,[],[i_0_1543,i_0_1096,i_0_1382,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1617,plain,
    ( X1 != n92
    | ~ sum(X1,nn92,nn10) ),
    inference(scs_inference,[],[i_0_1326,i_0_1543,i_0_1096,i_0_1382,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1618,plain,
    ( X1 != n0
    | ~ sum(n82,n83,X1) ),
    inference(scs_inference,[],[i_0_1326,i_0_1524,i_0_1543,i_0_1096,i_0_1382,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1619,plain,
    ( ~ sum(n79,nn78,X1)
    | sum(nn78,n79,X1) ),
    inference(scs_inference,[],[i_0_1326,i_0_1524,i_0_1543,i_0_1096,i_0_1382,i_0_1549,i_0_1561,i_0_721,i_0_722,i_0_632,i_0_633,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1599,i_0_497,i_0_1563,i_0_1001,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1620,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1621,plain,
    ~ less(n81,nn80),
    inference(equality_inference,[],[1615]) ).

cnf(i_0_1622,plain,
    ~ less(n81,nn80),
    inference(equality_inference,[],[1616]) ).

cnf(i_0_1623,plain,
    ~ sum(n92,nn92,nn10),
    inference(equality_inference,[],[1617]) ).

cnf(i_0_1624,plain,
    ~ sum(n82,n83,n0),
    inference(equality_inference,[],[1618]) ).

cnf(i_0_1625,plain,
    difference(n0,n78,nn78),
    inference(scs_inference,[],[i_0_1586,i_0_602]) ).

cnf(i_0_1626,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1627,plain,
    ~ sum(n78,nn78,nn10),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1628,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1629,plain,
    sum(n76,nn76,n0),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_724,i_0_634,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1630,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1631,plain,
    rdn_add_with_carry(rdnn(n2),rdnn(n4),rdnn(n2),rdnn(n8)),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_724,i_0_634,i_0_498,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1632,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1633,plain,
    less(nn76,n77),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_723,i_0_724,i_0_634,i_0_498,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1634,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1635,plain,
    ~ rdn_positive_less(rdnn(n4),rdnn(n2)),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_723,i_0_724,i_0_634,i_0_825,i_0_498,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1636,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1637,plain,
    ~ less_or_equal(n79,nn78),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_825,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1638,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1639,plain,
    rdnn(n1) != rdnn(n3),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_827,i_0_825,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1640,plain,
    rdnn(n5) != rdnn(n2),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_827,i_0_824,i_0_825,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1641,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n7)),rdn(rdnn(n6),rdnn(n7))),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_827,i_0_824,i_0_825,i_0_866,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1642,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1643,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1644,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n5),rdnn(n7))),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1645,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1646,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1647,plain,
    n77 != nn76,
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1648,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1649,plain,
    ~ less(n77,nn76),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1650,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1651,plain,
    less_or_equal(nn76,n77),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1652,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1653,plain,
    ~ sum(n76,n77,n0),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1654,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1655,plain,
    ( less(rdnn(n1),rdnn(n6))
    | less(rdnn(n6),rdnn(n1)) ),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1425,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1656,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1657,plain,
    nn76 != n77,
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1425,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1658,plain,
    ( X1 != n79
    | ~ less(X1,nn78) ),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1425,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1659,plain,
    ( X1 != nn78
    | ~ less(n79,X1) ),
    inference(scs_inference,[],[i_0_1586,i_0_1096,i_0_1425,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1660,plain,
    ( X1 != n90
    | ~ sum(X1,n91,n0) ),
    inference(scs_inference,[],[i_0_1352,i_0_1586,i_0_1096,i_0_1425,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1661,plain,
    ( X1 != n0
    | ~ sum(n80,n81,X1) ),
    inference(scs_inference,[],[i_0_1352,i_0_1567,i_0_1586,i_0_1096,i_0_1425,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1662,plain,
    ( ~ sum(n77,nn76,X1)
    | sum(nn76,n77,X1) ),
    inference(scs_inference,[],[i_0_1352,i_0_1567,i_0_1586,i_0_1096,i_0_1425,i_0_1592,i_0_1604,i_0_723,i_0_724,i_0_634,i_0_635,i_0_827,i_0_824,i_0_825,i_0_866,i_0_1642,i_0_498,i_0_1606,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1663,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1664,plain,
    ~ less(n79,nn78),
    inference(equality_inference,[],[1658]) ).

cnf(i_0_1665,plain,
    ~ less(n79,nn78),
    inference(equality_inference,[],[1659]) ).

cnf(i_0_1666,plain,
    ~ sum(n90,n91,n0),
    inference(equality_inference,[],[1660]) ).

cnf(i_0_1667,plain,
    ~ sum(n80,n81,n0),
    inference(equality_inference,[],[1661]) ).

cnf(i_0_1668,plain,
    difference(n0,n76,nn76),
    inference(scs_inference,[],[i_0_1629,i_0_602]) ).

cnf(i_0_1669,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1670,plain,
    ~ sum(n76,nn76,nn10),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1671,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1672,plain,
    sum(n74,nn74,n0),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_726,i_0_636,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1673,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1674,plain,
    rdn_add_with_carry(rdnn(n4),rdnn(n4),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_726,i_0_636,i_0_499,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1675,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1676,plain,
    less(nn74,n75),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_725,i_0_726,i_0_636,i_0_499,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1677,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1678,plain,
    ~ rdn_positive_less(rdnn(n5),rdnn(n2)),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_725,i_0_726,i_0_636,i_0_824,i_0_499,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1679,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1680,plain,
    ~ less_or_equal(n77,nn76),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_824,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1681,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1682,plain,
    rdnn(n1) != rdnn(n4),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_827,i_0_824,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1683,plain,
    rdnn(n6) != rdnn(n2),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_823,i_0_827,i_0_824,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1684,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n7)),rdn(rdnn(n4),rdnn(n7))),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_823,i_0_827,i_0_824,i_0_866,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1685,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1686,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1687,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n7)),rdn(rdnn(n3),rdnn(n7))),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1688,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1689,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1690,plain,
    n75 != nn74,
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1691,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1692,plain,
    ~ less(n75,nn74),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1693,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1694,plain,
    less_or_equal(nn74,n75),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1695,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1696,plain,
    ~ sum(n74,n75,n0),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1697,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1698,plain,
    ( less(rdnn(n1),rdnn(n7))
    | less(rdnn(n7),rdnn(n1)) ),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1468,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1699,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1700,plain,
    nn74 != n75,
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1468,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1701,plain,
    ( X1 != n77
    | ~ less(X1,nn76) ),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1468,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1702,plain,
    ( X1 != nn76
    | ~ less(n77,X1) ),
    inference(scs_inference,[],[i_0_1629,i_0_1096,i_0_1468,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1703,plain,
    ( X1 != n90
    | ~ sum(X1,nn90,nn10) ),
    inference(scs_inference,[],[i_0_1369,i_0_1629,i_0_1096,i_0_1468,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1704,plain,
    ( X1 != n0
    | ~ sum(n78,n79,X1) ),
    inference(scs_inference,[],[i_0_1369,i_0_1610,i_0_1629,i_0_1096,i_0_1468,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1705,plain,
    ( ~ sum(n75,nn74,X1)
    | sum(nn74,n75,X1) ),
    inference(scs_inference,[],[i_0_1369,i_0_1610,i_0_1629,i_0_1096,i_0_1468,i_0_1635,i_0_1647,i_0_725,i_0_726,i_0_636,i_0_637,i_0_823,i_0_827,i_0_824,i_0_866,i_0_1685,i_0_499,i_0_1649,i_0_486,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1706,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1707,plain,
    ~ less(n77,nn76),
    inference(equality_inference,[],[1701]) ).

cnf(i_0_1708,plain,
    ~ less(n77,nn76),
    inference(equality_inference,[],[1702]) ).

cnf(i_0_1709,plain,
    ~ sum(n90,nn90,nn10),
    inference(equality_inference,[],[1703]) ).

cnf(i_0_1710,plain,
    ~ sum(n78,n79,n0),
    inference(equality_inference,[],[1704]) ).

cnf(i_0_1711,plain,
    difference(n0,n74,nn74),
    inference(scs_inference,[],[i_0_1672,i_0_602]) ).

cnf(i_0_1712,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1713,plain,
    ~ sum(n74,nn74,nn10),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1714,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1715,plain,
    sum(n72,nn72,n0),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_728,i_0_638,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1716,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1717,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n0),rdnn(n4)),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_728,i_0_638,i_0_500,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1718,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1719,plain,
    less(nn72,n73),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_727,i_0_728,i_0_638,i_0_500,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1720,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1721,plain,
    ~ rdn_positive_less(rdnn(n6),rdnn(n2)),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_727,i_0_728,i_0_638,i_0_823,i_0_500,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1722,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1723,plain,
    ~ less_or_equal(n75,nn74),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_823,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1724,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1725,plain,
    rdnn(n1) != rdnn(n5),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_823,i_0_827,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1726,plain,
    rdnn(n7) != rdnn(n2),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_822,i_0_823,i_0_827,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1727,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n7)),rdn(rdnn(n2),rdnn(n7))),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_822,i_0_823,i_0_827,i_0_866,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1728,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1729,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1730,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n7)),rdn(rdnn(n1),rdnn(n7))),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1731,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1732,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1733,plain,
    n73 != nn72,
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1734,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1735,plain,
    ~ less(n73,nn72),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1736,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1737,plain,
    less_or_equal(nn72,n73),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1738,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1739,plain,
    ~ sum(n72,n73,n0),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1740,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1741,plain,
    ( less(rdnn(n1),rdnn(n8))
    | less(rdnn(n8),rdnn(n1)) ),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1511,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1742,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1743,plain,
    nn72 != n73,
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1511,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1744,plain,
    ( X1 != n75
    | ~ less(X1,nn74) ),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1511,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1745,plain,
    ( X1 != nn74
    | ~ less(n75,X1) ),
    inference(scs_inference,[],[i_0_1672,i_0_1096,i_0_1511,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1746,plain,
    ( X1 != n88
    | ~ sum(X1,n89,n0) ),
    inference(scs_inference,[],[i_0_1395,i_0_1672,i_0_1096,i_0_1511,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1747,plain,
    ( X1 != n0
    | ~ sum(n76,n77,X1) ),
    inference(scs_inference,[],[i_0_1395,i_0_1653,i_0_1672,i_0_1096,i_0_1511,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1748,plain,
    ( ~ sum(n73,nn72,X1)
    | sum(nn72,n73,X1) ),
    inference(scs_inference,[],[i_0_1395,i_0_1653,i_0_1672,i_0_1096,i_0_1511,i_0_1678,i_0_1690,i_0_727,i_0_728,i_0_638,i_0_639,i_0_822,i_0_823,i_0_827,i_0_866,i_0_1728,i_0_500,i_0_1692,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1749,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1750,plain,
    ~ less(n75,nn74),
    inference(equality_inference,[],[1744]) ).

cnf(i_0_1751,plain,
    ~ less(n75,nn74),
    inference(equality_inference,[],[1745]) ).

cnf(i_0_1752,plain,
    ~ sum(n88,n89,n0),
    inference(equality_inference,[],[1746]) ).

cnf(i_0_1753,plain,
    ~ sum(n76,n77,n0),
    inference(equality_inference,[],[1747]) ).

cnf(i_0_1754,plain,
    difference(n0,n72,nn72),
    inference(scs_inference,[],[i_0_1715,i_0_602]) ).

cnf(i_0_1755,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1756,plain,
    ~ sum(n72,nn72,nn10),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1757,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1758,plain,
    sum(n70,nn70,n0),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_730,i_0_640,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1759,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1760,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n6),rdnn(n9)),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_730,i_0_640,i_0_504,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1761,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1762,plain,
    less(nn70,n71),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_729,i_0_730,i_0_640,i_0_504,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1763,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1764,plain,
    ~ rdn_positive_less(rdnn(n7),rdnn(n2)),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_729,i_0_730,i_0_640,i_0_822,i_0_504,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1765,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1766,plain,
    ~ less_or_equal(n73,nn72),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_822,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1767,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1768,plain,
    rdnn(n1) != rdnn(n6),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_822,i_0_827,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1769,plain,
    rdnn(n8) != rdnn(n2),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_821,i_0_822,i_0_827,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1770,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n7)),rdn(rdnn(n0),rdnn(n7))),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_821,i_0_822,i_0_827,i_0_866,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1771,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1772,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1773,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n6)),rdn(rdnn(n9),rdnn(n6))),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1774,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1775,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1776,plain,
    n71 != nn70,
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1777,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1778,plain,
    ~ less(n71,nn70),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1779,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1780,plain,
    less_or_equal(nn70,n71),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1781,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1782,plain,
    ~ sum(n70,n71,n0),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1783,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1784,plain,
    ( less(rdnn(n1),rdnn(n9))
    | less(rdnn(n9),rdnn(n1)) ),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1554,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1785,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1786,plain,
    nn70 != n71,
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1554,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1787,plain,
    ( X1 != n73
    | ~ less(X1,nn72) ),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1554,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1788,plain,
    ( X1 != nn72
    | ~ less(n73,X1) ),
    inference(scs_inference,[],[i_0_1715,i_0_1096,i_0_1554,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1789,plain,
    ( X1 != n88
    | ~ sum(X1,nn88,nn10) ),
    inference(scs_inference,[],[i_0_1412,i_0_1715,i_0_1096,i_0_1554,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1790,plain,
    ( X1 != n0
    | ~ sum(n74,n75,X1) ),
    inference(scs_inference,[],[i_0_1412,i_0_1696,i_0_1715,i_0_1096,i_0_1554,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1791,plain,
    ( ~ sum(n71,nn70,X1)
    | sum(nn70,n71,X1) ),
    inference(scs_inference,[],[i_0_1412,i_0_1696,i_0_1715,i_0_1096,i_0_1554,i_0_1721,i_0_1733,i_0_729,i_0_730,i_0_640,i_0_641,i_0_821,i_0_822,i_0_827,i_0_866,i_0_1771,i_0_504,i_0_1735,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1792,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1793,plain,
    ~ less(n73,nn72),
    inference(equality_inference,[],[1787]) ).

cnf(i_0_1794,plain,
    ~ less(n73,nn72),
    inference(equality_inference,[],[1788]) ).

cnf(i_0_1795,plain,
    ~ sum(n88,nn88,nn10),
    inference(equality_inference,[],[1789]) ).

cnf(i_0_1796,plain,
    ~ sum(n74,n75,n0),
    inference(equality_inference,[],[1790]) ).

cnf(i_0_1797,plain,
    difference(n0,n70,nn70),
    inference(scs_inference,[],[i_0_1758,i_0_602]) ).

cnf(i_0_1798,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1799,plain,
    ~ sum(n70,nn70,nn10),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1800,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1801,plain,
    sum(n68,nn68,n0),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_732,i_0_642,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1802,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1803,plain,
    rdn_add_with_carry(rdnn(n1),rdnn(n3),rdnn(n5),rdnn(n9)),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_732,i_0_642,i_0_505,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1804,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1805,plain,
    less(nn68,n69),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_731,i_0_732,i_0_642,i_0_505,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1806,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1807,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n2)),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_731,i_0_732,i_0_642,i_0_821,i_0_505,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1808,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1809,plain,
    ~ less_or_equal(n71,nn70),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_821,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1810,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1811,plain,
    rdnn(n1) != rdnn(n7),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_821,i_0_827,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1812,plain,
    rdnn(n9) != rdnn(n2),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_820,i_0_821,i_0_827,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1813,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n6)),rdn(rdnn(n8),rdnn(n6))),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_820,i_0_821,i_0_827,i_0_866,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1814,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1815,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1816,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n6)),rdn(rdnn(n7),rdnn(n6))),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1817,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1818,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1819,plain,
    n69 != nn68,
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1820,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1821,plain,
    ~ less(n69,nn68),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1822,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1823,plain,
    less_or_equal(nn68,n69),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1824,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1825,plain,
    ~ sum(n68,n69,n0),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1826,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1827,plain,
    ( less(rdnn(n2),rdnn(n4))
    | less(rdnn(n4),rdnn(n2)) ),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1597,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1828,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1829,plain,
    nn68 != n69,
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1597,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1830,plain,
    ( X1 != n71
    | ~ less(X1,nn70) ),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1597,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1831,plain,
    ( X1 != nn70
    | ~ less(n71,X1) ),
    inference(scs_inference,[],[i_0_1758,i_0_1096,i_0_1597,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1832,plain,
    ( X1 != n86
    | ~ sum(X1,n87,n0) ),
    inference(scs_inference,[],[i_0_1438,i_0_1758,i_0_1096,i_0_1597,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1833,plain,
    ( X1 != n0
    | ~ sum(n72,n73,X1) ),
    inference(scs_inference,[],[i_0_1438,i_0_1739,i_0_1758,i_0_1096,i_0_1597,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1834,plain,
    ( ~ sum(n69,nn68,X1)
    | sum(nn68,n69,X1) ),
    inference(scs_inference,[],[i_0_1438,i_0_1739,i_0_1758,i_0_1096,i_0_1597,i_0_1764,i_0_1776,i_0_731,i_0_732,i_0_642,i_0_643,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1814,i_0_505,i_0_1778,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1835,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1836,plain,
    ~ less(n71,nn70),
    inference(equality_inference,[],[1830]) ).

cnf(i_0_1837,plain,
    ~ less(n71,nn70),
    inference(equality_inference,[],[1831]) ).

cnf(i_0_1838,plain,
    ~ sum(n86,n87,n0),
    inference(equality_inference,[],[1832]) ).

cnf(i_0_1839,plain,
    ~ sum(n72,n73,n0),
    inference(equality_inference,[],[1833]) ).

cnf(i_0_1840,plain,
    difference(n0,n68,nn68),
    inference(scs_inference,[],[i_0_1801,i_0_602]) ).

cnf(i_0_1841,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1842,plain,
    ~ sum(n68,nn68,nn10),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1843,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1844,plain,
    sum(n66,nn66,n0),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_734,i_0_644,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1845,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1846,plain,
    rdn_add_with_carry(rdnn(n2),rdnn(n3),rdnn(n4),rdnn(n9)),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_734,i_0_644,i_0_506,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1847,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1848,plain,
    less(nn66,n67),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_733,i_0_734,i_0_644,i_0_506,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1849,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1850,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n7)),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_733,i_0_734,i_0_644,i_0_821,i_0_506,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1851,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1852,plain,
    ~ less_or_equal(n69,nn68),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_821,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1853,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1854,plain,
    rdnn(n1) != rdnn(n8),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_821,i_0_827,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1855,plain,
    rdnn(n9) != rdnn(n7),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_820,i_0_821,i_0_827,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1856,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n6)),rdn(rdnn(n6),rdnn(n6))),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_820,i_0_821,i_0_827,i_0_866,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1857,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1858,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1859,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n6)),rdn(rdnn(n5),rdnn(n6))),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1860,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1861,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1862,plain,
    n67 != nn66,
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1863,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1864,plain,
    ~ less(n67,nn66),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1865,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1866,plain,
    less_or_equal(nn66,n67),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1867,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1868,plain,
    ~ sum(n66,n67,n0),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1869,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1870,plain,
    ( less(rdnn(n2),rdnn(n5))
    | less(rdnn(n5),rdnn(n2)) ),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1640,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1871,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1872,plain,
    nn66 != n67,
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1640,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1873,plain,
    ( X1 != n69
    | ~ less(X1,nn68) ),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1640,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1874,plain,
    ( X1 != nn68
    | ~ less(n69,X1) ),
    inference(scs_inference,[],[i_0_1801,i_0_1096,i_0_1640,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1875,plain,
    ( X1 != n86
    | ~ sum(X1,nn86,nn10) ),
    inference(scs_inference,[],[i_0_1455,i_0_1801,i_0_1096,i_0_1640,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1876,plain,
    ( X1 != n0
    | ~ sum(n70,n71,X1) ),
    inference(scs_inference,[],[i_0_1455,i_0_1782,i_0_1801,i_0_1096,i_0_1640,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1877,plain,
    ( ~ sum(n67,nn66,X1)
    | sum(nn66,n67,X1) ),
    inference(scs_inference,[],[i_0_1455,i_0_1782,i_0_1801,i_0_1096,i_0_1640,i_0_1807,i_0_1819,i_0_733,i_0_734,i_0_644,i_0_645,i_0_820,i_0_821,i_0_827,i_0_866,i_0_1857,i_0_506,i_0_1821,i_0_916,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1878,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1879,plain,
    ~ less(n69,nn68),
    inference(equality_inference,[],[1873]) ).

cnf(i_0_1880,plain,
    ~ less(n69,nn68),
    inference(equality_inference,[],[1874]) ).

cnf(i_0_1881,plain,
    ~ sum(n86,nn86,nn10),
    inference(equality_inference,[],[1875]) ).

cnf(i_0_1882,plain,
    ~ sum(n70,n71,n0),
    inference(equality_inference,[],[1876]) ).

cnf(i_0_1883,plain,
    difference(n0,n66,nn66),
    inference(scs_inference,[],[i_0_1844,i_0_602]) ).

cnf(i_0_1884,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1885,plain,
    ~ sum(n66,nn66,nn10),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1886,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1887,plain,
    sum(n64,nn64,n0),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_736,i_0_646,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1888,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1889,plain,
    rdn_add_with_carry(rdnn(n1),rdnn(n3),rdnn(n3),rdnn(n7)),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_736,i_0_646,i_0_507,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1890,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1891,plain,
    less(nn64,n65),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_735,i_0_736,i_0_646,i_0_507,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1892,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1893,plain,
    ~ rdn_positive_less(rdnn(n7),rdnn(n6)),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_735,i_0_736,i_0_646,i_0_822,i_0_507,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1894,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1895,plain,
    ~ less_or_equal(n67,nn66),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_822,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1896,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1897,plain,
    rdnn(n6) != rdnn(n8),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_822,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1898,plain,
    rdnn(n8) != rdnn(n6),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_822,i_0_821,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1899,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n6)),rdn(rdnn(n4),rdnn(n6))),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_822,i_0_821,i_0_866,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1900,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1901,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1902,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n6)),rdn(rdnn(n3),rdnn(n6))),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1903,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1904,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1905,plain,
    n65 != nn64,
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1906,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1907,plain,
    ~ less(n65,nn64),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1908,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1909,plain,
    less_or_equal(nn64,n65),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1910,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1911,plain,
    ~ sum(n64,n65,n0),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1912,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1913,plain,
    ( less(rdnn(n2),rdnn(n6))
    | less(rdnn(n6),rdnn(n2)) ),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1683,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1914,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1915,plain,
    nn64 != n65,
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1683,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1916,plain,
    ( X1 != n67
    | ~ less(X1,nn66) ),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1683,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1917,plain,
    ( X1 != nn66
    | ~ less(n67,X1) ),
    inference(scs_inference,[],[i_0_1844,i_0_1096,i_0_1683,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1918,plain,
    ( X1 != n84
    | ~ sum(X1,n85,n0) ),
    inference(scs_inference,[],[i_0_1481,i_0_1844,i_0_1096,i_0_1683,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1919,plain,
    ( X1 != n0
    | ~ sum(n68,n69,X1) ),
    inference(scs_inference,[],[i_0_1481,i_0_1825,i_0_1844,i_0_1096,i_0_1683,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1920,plain,
    ( ~ sum(n65,nn64,X1)
    | sum(nn64,n65,X1) ),
    inference(scs_inference,[],[i_0_1481,i_0_1825,i_0_1844,i_0_1096,i_0_1683,i_0_1850,i_0_1862,i_0_735,i_0_736,i_0_646,i_0_647,i_0_822,i_0_821,i_0_866,i_0_1900,i_0_507,i_0_1864,i_0_919,i_0_479,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1921,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1922,plain,
    ~ less(n67,nn66),
    inference(equality_inference,[],[1916]) ).

cnf(i_0_1923,plain,
    ~ less(n67,nn66),
    inference(equality_inference,[],[1917]) ).

cnf(i_0_1924,plain,
    ~ sum(n84,n85,n0),
    inference(equality_inference,[],[1918]) ).

cnf(i_0_1925,plain,
    ~ sum(n68,n69,n0),
    inference(equality_inference,[],[1919]) ).

cnf(i_0_1926,plain,
    difference(n0,n64,nn64),
    inference(scs_inference,[],[i_0_1887,i_0_602]) ).

cnf(i_0_1927,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1928,plain,
    ~ sum(n64,nn64,nn10),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1929,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1930,plain,
    sum(n62,nn62,n0),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_738,i_0_648,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1931,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1932,plain,
    rdn_add_with_carry(rdnn(n3),rdnn(n3),rdnn(n2),rdnn(n8)),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_738,i_0_648,i_0_508,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1933,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1934,plain,
    less(nn62,n63),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_737,i_0_738,i_0_648,i_0_508,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1935,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1936,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n6)),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_737,i_0_738,i_0_648,i_0_821,i_0_508,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1937,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1938,plain,
    ~ less_or_equal(n65,nn64),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_821,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1939,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1940,plain,
    rdnn(n5) != rdnn(n7),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_823,i_0_821,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1941,plain,
    rdnn(n9) != rdnn(n6),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_823,i_0_820,i_0_821,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1942,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n6)),rdn(rdnn(n2),rdnn(n6))),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_823,i_0_820,i_0_821,i_0_866,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1943,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1944,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1945,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n6)),rdn(rdnn(n1),rdnn(n6))),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1946,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1947,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1948,plain,
    n63 != nn62,
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1949,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1950,plain,
    ~ less(n63,nn62),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1951,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1952,plain,
    less_or_equal(nn62,n63),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1953,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1954,plain,
    ~ sum(n62,n63,n0),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1955,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1956,plain,
    ( less(rdnn(n2),rdnn(n7))
    | less(rdnn(n7),rdnn(n2)) ),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1726,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_1957,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_1958,plain,
    nn62 != n63,
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1726,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_1959,plain,
    ( X1 != n65
    | ~ less(X1,nn64) ),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1726,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_1960,plain,
    ( X1 != nn64
    | ~ less(n65,X1) ),
    inference(scs_inference,[],[i_0_1887,i_0_1096,i_0_1726,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_1961,plain,
    ( X1 != n84
    | ~ sum(X1,nn84,nn10) ),
    inference(scs_inference,[],[i_0_1498,i_0_1887,i_0_1096,i_0_1726,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_1962,plain,
    ( X1 != n0
    | ~ sum(n66,n67,X1) ),
    inference(scs_inference,[],[i_0_1498,i_0_1868,i_0_1887,i_0_1096,i_0_1726,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_1963,plain,
    ( ~ sum(n63,nn62,X1)
    | sum(nn62,n63,X1) ),
    inference(scs_inference,[],[i_0_1498,i_0_1868,i_0_1887,i_0_1096,i_0_1726,i_0_1893,i_0_1905,i_0_737,i_0_738,i_0_648,i_0_649,i_0_823,i_0_820,i_0_821,i_0_866,i_0_1943,i_0_508,i_0_1907,i_0_487,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_1964,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1965,plain,
    ~ less(n65,nn64),
    inference(equality_inference,[],[1959]) ).

cnf(i_0_1966,plain,
    ~ less(n65,nn64),
    inference(equality_inference,[],[1960]) ).

cnf(i_0_1967,plain,
    ~ sum(n84,nn84,nn10),
    inference(equality_inference,[],[1961]) ).

cnf(i_0_1968,plain,
    ~ sum(n66,n67,n0),
    inference(equality_inference,[],[1962]) ).

cnf(i_0_1969,plain,
    difference(n0,n62,nn62),
    inference(scs_inference,[],[i_0_1930,i_0_602]) ).

cnf(i_0_1970,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_1971,plain,
    ~ sum(n62,nn62,nn10),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_1972,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_1973,plain,
    sum(n60,nn60,n0),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_740,i_0_650,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_1974,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_1975,plain,
    rdn_add_with_carry(rdnn(n5),rdnn(n3),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_740,i_0_650,i_0_509,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_1976,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_1977,plain,
    less(nn60,n61),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_739,i_0_740,i_0_650,i_0_509,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_1978,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1979,plain,
    ~ rdn_positive_less(rdnn(n1),rdnn(n0)),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_739,i_0_740,i_0_650,i_0_828,i_0_509,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_1980,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1981,plain,
    ~ less_or_equal(n63,nn62),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_828,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_1982,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_1983,plain,
    rdnn(n5) != rdnn(n8),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_823,i_0_828,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_1984,plain,
    rdnn(n2) != rdnn(n0),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_823,i_0_827,i_0_828,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_1985,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n6)),rdn(rdnn(n0),rdnn(n6))),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_823,i_0_827,i_0_828,i_0_866,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_1986,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1987,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_1988,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n5)),rdn(rdnn(n9),rdnn(n5))),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_1989,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_1990,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1991,plain,
    n61 != nn60,
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_1992,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1993,plain,
    ~ less(n61,nn60),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_1994,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1995,plain,
    less_or_equal(nn60,n61),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_1996,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1997,plain,
    ~ sum(n60,n61,n0),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_1998,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1999,plain,
    ( less(rdnn(n2),rdnn(n8))
    | less(rdnn(n8),rdnn(n2)) ),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1769,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2000,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2001,plain,
    nn60 != n61,
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1769,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2002,plain,
    ( X1 != n63
    | ~ less(X1,nn62) ),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1769,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2003,plain,
    ( X1 != nn62
    | ~ less(n63,X1) ),
    inference(scs_inference,[],[i_0_1930,i_0_1096,i_0_1769,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2004,plain,
    ( X1 != n82
    | ~ sum(X1,n83,n0) ),
    inference(scs_inference,[],[i_0_1524,i_0_1930,i_0_1096,i_0_1769,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2005,plain,
    ( X1 != n0
    | ~ sum(n64,n65,X1) ),
    inference(scs_inference,[],[i_0_1524,i_0_1911,i_0_1930,i_0_1096,i_0_1769,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2006,plain,
    ( ~ sum(n61,nn60,X1)
    | sum(nn60,n61,X1) ),
    inference(scs_inference,[],[i_0_1524,i_0_1911,i_0_1930,i_0_1096,i_0_1769,i_0_1936,i_0_1948,i_0_739,i_0_740,i_0_650,i_0_651,i_0_823,i_0_827,i_0_828,i_0_866,i_0_1986,i_0_509,i_0_1950,i_0_1080,i_0_495,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2007,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2008,plain,
    ~ less(n63,nn62),
    inference(equality_inference,[],[2002]) ).

cnf(i_0_2009,plain,
    ~ less(n63,nn62),
    inference(equality_inference,[],[2003]) ).

cnf(i_0_2010,plain,
    ~ sum(n82,n83,n0),
    inference(equality_inference,[],[2004]) ).

cnf(i_0_2011,plain,
    ~ sum(n64,n65,n0),
    inference(equality_inference,[],[2005]) ).

cnf(i_0_2012,plain,
    difference(n0,n60,nn60),
    inference(scs_inference,[],[i_0_1973,i_0_602]) ).

cnf(i_0_2013,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2014,plain,
    ~ sum(n60,nn60,nn10),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2015,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2016,plain,
    sum(n58,nn58,n0),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_742,i_0_652,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2017,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2018,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n0),rdnn(n3)),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_742,i_0_652,i_0_510,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2019,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2020,plain,
    less(nn58,n59),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_741,i_0_742,i_0_652,i_0_510,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2021,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2022,plain,
    ~ rdn_positive_less(rdnn(n2),rdnn(n0)),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_741,i_0_742,i_0_652,i_0_827,i_0_510,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2023,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2024,plain,
    ~ less_or_equal(n61,nn60),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_827,i_0_510,i_0_1993,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2025,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2026,plain,
    rdnn(n7) != rdnn(n8),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_821,i_0_827,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2027,plain,
    rdnn(n3) != rdnn(n0),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_826,i_0_821,i_0_827,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2028,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n5)),rdn(rdnn(n8),rdnn(n5))),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_826,i_0_821,i_0_827,i_0_866,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2029,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2030,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2031,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n5)),rdn(rdnn(n7),rdnn(n5))),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2032,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2033,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2034,plain,
    n59 != nn58,
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2035,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2036,plain,
    ~ less(n59,nn58),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2037,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2038,plain,
    less_or_equal(nn58,n59),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2039,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2040,plain,
    ~ sum(n58,n59,n0),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2041,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2042,plain,
    ( less(rdnn(n2),rdnn(n9))
    | less(rdnn(n9),rdnn(n2)) ),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1812,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2043,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2044,plain,
    nn58 != n59,
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1812,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2045,plain,
    ( X1 != n61
    | ~ less(X1,nn60) ),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1812,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2046,plain,
    ( X1 != nn60
    | ~ less(n61,X1) ),
    inference(scs_inference,[],[i_0_1973,i_0_1096,i_0_1812,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2047,plain,
    ( X1 != n82
    | ~ sum(X1,nn82,nn10) ),
    inference(scs_inference,[],[i_0_1541,i_0_1973,i_0_1096,i_0_1812,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2048,plain,
    ( X1 != n0
    | ~ sum(n62,n63,X1) ),
    inference(scs_inference,[],[i_0_1541,i_0_1954,i_0_1973,i_0_1096,i_0_1812,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2049,plain,
    ( ~ sum(n59,nn58,X1)
    | sum(nn58,n59,X1) ),
    inference(scs_inference,[],[i_0_1541,i_0_1954,i_0_1973,i_0_1096,i_0_1812,i_0_1979,i_0_1991,i_0_741,i_0_742,i_0_652,i_0_653,i_0_826,i_0_821,i_0_827,i_0_866,i_0_2029,i_0_510,i_0_1993,i_0_883,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2050,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2051,plain,
    ~ less(n61,nn60),
    inference(equality_inference,[],[2045]) ).

cnf(i_0_2052,plain,
    ~ less(n61,nn60),
    inference(equality_inference,[],[2046]) ).

cnf(i_0_2053,plain,
    ~ sum(n82,nn82,nn10),
    inference(equality_inference,[],[2047]) ).

cnf(i_0_2054,plain,
    ~ sum(n62,n63,n0),
    inference(equality_inference,[],[2048]) ).

cnf(i_0_2055,plain,
    difference(n0,n58,nn58),
    inference(scs_inference,[],[i_0_2016,i_0_602]) ).

cnf(i_0_2056,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2057,plain,
    ~ sum(n58,nn58,nn10),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2058,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2059,plain,
    sum(n56,nn56,n0),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_744,i_0_654,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2060,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2061,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n7),rdnn(n9)),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_744,i_0_654,i_0_513,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2062,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2063,plain,
    less(nn56,n57),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_743,i_0_744,i_0_654,i_0_513,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2064,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2065,plain,
    ~ rdn_positive_less(rdnn(n3),rdnn(n0)),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_743,i_0_744,i_0_654,i_0_826,i_0_513,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2066,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2067,plain,
    ~ less_or_equal(n59,nn58),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_826,i_0_513,i_0_2036,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2068,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2069,plain,
    rdnn(n4) != rdnn(n5),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_824,i_0_826,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2070,plain,
    rdnn(n4) != rdnn(n0),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_824,i_0_825,i_0_826,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2071,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n5)),rdn(rdnn(n6),rdnn(n5))),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_824,i_0_825,i_0_826,i_0_866,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2072,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2073,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2074,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n5)),rdn(rdnn(n5),rdnn(n5))),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2075,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2076,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2077,plain,
    n57 != nn56,
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2078,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2079,plain,
    ~ less(n57,nn56),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2080,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2081,plain,
    less_or_equal(nn56,n57),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2082,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2083,plain,
    ~ sum(n56,n57,n0),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2084,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2085,plain,
    ( less(rdnn(n6),rdnn(n8))
    | less(rdnn(n8),rdnn(n6)) ),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_1898,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2086,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2087,plain,
    nn56 != n57,
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_1898,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2088,plain,
    ( X1 != n59
    | ~ less(X1,nn58) ),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_1898,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2089,plain,
    ( X1 != nn58
    | ~ less(n59,X1) ),
    inference(scs_inference,[],[i_0_2016,i_0_1096,i_0_1898,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2090,plain,
    ( X1 != n80
    | ~ sum(X1,n81,n0) ),
    inference(scs_inference,[],[i_0_1567,i_0_2016,i_0_1096,i_0_1898,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2091,plain,
    ( X1 != n0
    | ~ sum(n60,n61,X1) ),
    inference(scs_inference,[],[i_0_1567,i_0_1997,i_0_2016,i_0_1096,i_0_1898,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2092,plain,
    ( ~ sum(n57,nn56,X1)
    | sum(nn56,n57,X1) ),
    inference(scs_inference,[],[i_0_1567,i_0_1997,i_0_2016,i_0_1096,i_0_1898,i_0_2022,i_0_2034,i_0_743,i_0_744,i_0_654,i_0_655,i_0_824,i_0_825,i_0_826,i_0_866,i_0_2072,i_0_513,i_0_2036,i_0_957,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2093,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2094,plain,
    ~ less(n59,nn58),
    inference(equality_inference,[],[2088]) ).

cnf(i_0_2095,plain,
    ~ less(n59,nn58),
    inference(equality_inference,[],[2089]) ).

cnf(i_0_2096,plain,
    ~ sum(n80,n81,n0),
    inference(equality_inference,[],[2090]) ).

cnf(i_0_2097,plain,
    ~ sum(n60,n61,n0),
    inference(equality_inference,[],[2091]) ).

cnf(i_0_2098,plain,
    difference(n0,n56,nn56),
    inference(scs_inference,[],[i_0_2059,i_0_602]) ).

cnf(i_0_2099,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2100,plain,
    ~ sum(n56,nn56,nn10),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2101,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2102,plain,
    sum(n54,nn54,n0),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_746,i_0_656,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2103,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2104,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n6),rdnn(n8)),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_746,i_0_656,i_0_514,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2105,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2106,plain,
    less(nn54,n55),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_745,i_0_746,i_0_656,i_0_514,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2107,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2108,plain,
    ~ rdn_positive_less(rdnn(n4),rdnn(n0)),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_745,i_0_746,i_0_656,i_0_825,i_0_514,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2109,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2110,plain,
    ~ less_or_equal(n57,nn56),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_825,i_0_514,i_0_2079,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2111,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2112,plain,
    rdnn(n3) != rdnn(n4),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_825,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2113,plain,
    rdnn(n5) != rdnn(n0),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_824,i_0_825,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2114,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n5)),rdn(rdnn(n4),rdnn(n5))),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_824,i_0_825,i_0_866,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2115,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2116,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2117,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n5)),rdn(rdnn(n3),rdnn(n5))),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2118,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2119,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2120,plain,
    n55 != nn54,
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2121,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2122,plain,
    ~ less(n55,nn54),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2123,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2124,plain,
    less_or_equal(nn54,n55),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2125,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2126,plain,
    ~ sum(n54,n55,n0),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2127,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2128,plain,
    ( less(rdnn(n9),rdnn(n0))
    | less(rdnn(n0),rdnn(n9)) ),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_1252,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2129,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2130,plain,
    nn54 != n55,
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_1252,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2131,plain,
    ( X1 != n57
    | ~ less(X1,nn56) ),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_1252,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2132,plain,
    ( X1 != nn56
    | ~ less(n57,X1) ),
    inference(scs_inference,[],[i_0_2059,i_0_1096,i_0_1252,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2133,plain,
    ( X1 != n80
    | ~ sum(X1,nn80,nn10) ),
    inference(scs_inference,[],[i_0_1584,i_0_2059,i_0_1096,i_0_1252,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2134,plain,
    ( X1 != n0
    | ~ sum(n58,n59,X1) ),
    inference(scs_inference,[],[i_0_1584,i_0_2040,i_0_2059,i_0_1096,i_0_1252,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2135,plain,
    ( ~ sum(n55,nn54,X1)
    | sum(nn54,n55,X1) ),
    inference(scs_inference,[],[i_0_1584,i_0_2040,i_0_2059,i_0_1096,i_0_1252,i_0_2065,i_0_2077,i_0_745,i_0_746,i_0_656,i_0_657,i_0_824,i_0_825,i_0_866,i_0_2115,i_0_514,i_0_2079,i_0_960,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2136,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2137,plain,
    ~ less(n57,nn56),
    inference(equality_inference,[],[2131]) ).

cnf(i_0_2138,plain,
    ~ less(n57,nn56),
    inference(equality_inference,[],[2132]) ).

cnf(i_0_2139,plain,
    ~ sum(n80,nn80,nn10),
    inference(equality_inference,[],[2133]) ).

cnf(i_0_2140,plain,
    ~ sum(n58,n59,n0),
    inference(equality_inference,[],[2134]) ).

cnf(i_0_2141,plain,
    difference(n0,n54,nn54),
    inference(scs_inference,[],[i_0_2102,i_0_602]) ).

cnf(i_0_2142,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2143,plain,
    ~ sum(n54,nn54,nn10),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2144,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2145,plain,
    sum(n52,nn52,n0),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_748,i_0_658,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2146,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2147,plain,
    rdn_add_with_carry(rdnn(n1),rdnn(n2),rdnn(n5),rdnn(n8)),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_748,i_0_658,i_0_515,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2148,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2149,plain,
    less(nn52,n53),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_747,i_0_748,i_0_658,i_0_515,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2150,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2151,plain,
    ~ rdn_positive_less(rdnn(n5),rdnn(n0)),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_747,i_0_748,i_0_658,i_0_824,i_0_515,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2152,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2153,plain,
    ~ less_or_equal(n55,nn54),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_824,i_0_515,i_0_2122,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2154,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2155,plain,
    rdnn(n2) != rdnn(n3),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_826,i_0_824,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2156,plain,
    rdnn(n6) != rdnn(n0),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_826,i_0_823,i_0_824,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2157,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n5)),rdn(rdnn(n2),rdnn(n5))),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_826,i_0_823,i_0_824,i_0_866,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2158,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2159,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2160,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n5)),rdn(rdnn(n1),rdnn(n5))),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2161,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2162,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2163,plain,
    n53 != nn52,
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2164,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2165,plain,
    ~ less(n53,nn52),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2166,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2167,plain,
    less_or_equal(nn52,n53),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2168,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2169,plain,
    ~ sum(n52,n53,n0),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2170,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2171,plain,
    ( less(rdnn(n2),rdnn(n0))
    | less(rdnn(n0),rdnn(n2)) ),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_1338,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2172,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2173,plain,
    nn52 != n53,
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_1338,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2174,plain,
    ( X1 != n55
    | ~ less(X1,nn54) ),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_1338,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2175,plain,
    ( X1 != nn54
    | ~ less(n55,X1) ),
    inference(scs_inference,[],[i_0_2102,i_0_1096,i_0_1338,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2176,plain,
    ( X1 != n78
    | ~ sum(X1,n79,n0) ),
    inference(scs_inference,[],[i_0_1610,i_0_2102,i_0_1096,i_0_1338,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2177,plain,
    ( X1 != n0
    | ~ sum(n56,n57,X1) ),
    inference(scs_inference,[],[i_0_1610,i_0_2083,i_0_2102,i_0_1096,i_0_1338,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2178,plain,
    ( ~ sum(n53,nn52,X1)
    | sum(nn52,n53,X1) ),
    inference(scs_inference,[],[i_0_1610,i_0_2083,i_0_2102,i_0_1096,i_0_1338,i_0_2108,i_0_2120,i_0_747,i_0_748,i_0_658,i_0_659,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2158,i_0_515,i_0_2122,i_0_998,i_0_469,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2179,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2180,plain,
    ~ less(n55,nn54),
    inference(equality_inference,[],[2174]) ).

cnf(i_0_2181,plain,
    ~ less(n55,nn54),
    inference(equality_inference,[],[2175]) ).

cnf(i_0_2182,plain,
    ~ sum(n78,n79,n0),
    inference(equality_inference,[],[2176]) ).

cnf(i_0_2183,plain,
    ~ sum(n56,n57,n0),
    inference(equality_inference,[],[2177]) ).

cnf(i_0_2184,plain,
    difference(n0,n52,nn52),
    inference(scs_inference,[],[i_0_2145,i_0_602]) ).

cnf(i_0_2185,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2186,plain,
    ~ sum(n52,nn52,nn10),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2187,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2188,plain,
    sum(n50,nn50,n0),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_750,i_0_660,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2189,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2190,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n4),rdnn(n6)),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_750,i_0_660,i_0_516,i_0_480,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2191,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2192,plain,
    less(nn50,n51),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_749,i_0_750,i_0_660,i_0_516,i_0_480,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2193,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2194,plain,
    ~ rdn_positive_less(rdnn(n6),rdnn(n0)),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_749,i_0_750,i_0_660,i_0_823,i_0_516,i_0_480,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2195,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2196,plain,
    ~ less_or_equal(n53,nn52),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_823,i_0_516,i_0_2165,i_0_480,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2197,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2198,plain,
    rdnn(n6) != rdnn(n7),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_822,i_0_823,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2199,plain,
    rdnn(n7) != rdnn(n0),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_822,i_0_823,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2200,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n5)),rdn(rdnn(n0),rdnn(n5))),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_822,i_0_823,i_0_866,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2201,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2202,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2203,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n4)),rdn(rdnn(n9),rdnn(n4))),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2204,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2205,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2206,plain,
    n51 != nn50,
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2207,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2208,plain,
    ~ less(n51,nn50),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2209,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2210,plain,
    less_or_equal(nn50,n51),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2211,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2212,plain,
    ~ sum(n50,n51,n0),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2213,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2214,plain,
    ( less(rdnn(n3),rdnn(n0))
    | less(rdnn(n0),rdnn(n3)) ),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_1381,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2215,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2216,plain,
    nn50 != n51,
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_1381,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2217,plain,
    ( X1 != n53
    | ~ less(X1,nn52) ),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_1381,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2218,plain,
    ( X1 != nn52
    | ~ less(n53,X1) ),
    inference(scs_inference,[],[i_0_2145,i_0_1096,i_0_1381,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2219,plain,
    ( X1 != n78
    | ~ sum(X1,nn78,nn10) ),
    inference(scs_inference,[],[i_0_1627,i_0_2145,i_0_1096,i_0_1381,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2220,plain,
    ( X1 != n0
    | ~ sum(n54,n55,X1) ),
    inference(scs_inference,[],[i_0_1627,i_0_2126,i_0_2145,i_0_1096,i_0_1381,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2221,plain,
    ( ~ sum(n51,nn50,X1)
    | sum(nn50,n51,X1) ),
    inference(scs_inference,[],[i_0_1627,i_0_2126,i_0_2145,i_0_1096,i_0_1381,i_0_2151,i_0_2163,i_0_749,i_0_750,i_0_660,i_0_661,i_0_822,i_0_823,i_0_866,i_0_2201,i_0_516,i_0_2165,i_0_480,i_0_916,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2222,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2223,plain,
    ~ less(n53,nn52),
    inference(equality_inference,[],[2217]) ).

cnf(i_0_2224,plain,
    ~ less(n53,nn52),
    inference(equality_inference,[],[2218]) ).

cnf(i_0_2225,plain,
    ~ sum(n78,nn78,nn10),
    inference(equality_inference,[],[2219]) ).

cnf(i_0_2226,plain,
    ~ sum(n54,n55,n0),
    inference(equality_inference,[],[2220]) ).

cnf(i_0_2227,plain,
    difference(n0,n50,nn50),
    inference(scs_inference,[],[i_0_2188,i_0_602]) ).

cnf(i_0_2228,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2229,plain,
    ~ sum(n50,nn50,nn10),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2230,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2231,plain,
    sum(n48,nn48,n0),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_752,i_0_662,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2232,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2233,plain,
    rdn_add_with_carry(rdnn(n2),rdnn(n2),rdnn(n3),rdnn(n7)),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_752,i_0_662,i_0_517,i_0_488,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2234,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2235,plain,
    less(nn48,n49),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_751,i_0_752,i_0_662,i_0_517,i_0_488,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2236,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2237,plain,
    ~ rdn_positive_less(rdnn(n7),rdnn(n0)),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_751,i_0_752,i_0_662,i_0_822,i_0_517,i_0_488,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2238,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2239,plain,
    ~ less_or_equal(n51,nn50),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_822,i_0_517,i_0_2208,i_0_488,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2240,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2241,plain,
    rdnn(n5) != rdnn(n6),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_822,i_0_823,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2242,plain,
    rdnn(n8) != rdnn(n0),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_821,i_0_822,i_0_823,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2243,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n4)),rdn(rdnn(n8),rdnn(n4))),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_821,i_0_822,i_0_823,i_0_866,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2244,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2245,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2246,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n4)),rdn(rdnn(n7),rdnn(n4))),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2247,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2248,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2249,plain,
    n49 != nn48,
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2250,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2251,plain,
    ~ less(n49,nn48),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2252,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2253,plain,
    less_or_equal(nn48,n49),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2254,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2255,plain,
    ~ sum(n48,n49,n0),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2256,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2257,plain,
    ( less(rdnn(n4),rdnn(n0))
    | less(rdnn(n0),rdnn(n4)) ),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_1424,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2258,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2259,plain,
    nn48 != n49,
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_1424,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2260,plain,
    ( X1 != n51
    | ~ less(X1,nn50) ),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_1424,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2261,plain,
    ( X1 != nn50
    | ~ less(n51,X1) ),
    inference(scs_inference,[],[i_0_2188,i_0_1096,i_0_1424,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2262,plain,
    ( X1 != n76
    | ~ sum(X1,n77,n0) ),
    inference(scs_inference,[],[i_0_1653,i_0_2188,i_0_1096,i_0_1424,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2263,plain,
    ( X1 != n0
    | ~ sum(n52,n53,X1) ),
    inference(scs_inference,[],[i_0_1653,i_0_2169,i_0_2188,i_0_1096,i_0_1424,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2264,plain,
    ( ~ sum(n49,nn48,X1)
    | sum(nn48,n49,X1) ),
    inference(scs_inference,[],[i_0_1653,i_0_2169,i_0_2188,i_0_1096,i_0_1424,i_0_2194,i_0_2206,i_0_751,i_0_752,i_0_662,i_0_663,i_0_821,i_0_822,i_0_823,i_0_866,i_0_2244,i_0_517,i_0_2208,i_0_488,i_0_919,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2265,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2266,plain,
    ~ less(n51,nn50),
    inference(equality_inference,[],[2260]) ).

cnf(i_0_2267,plain,
    ~ less(n51,nn50),
    inference(equality_inference,[],[2261]) ).

cnf(i_0_2268,plain,
    ~ sum(n76,n77,n0),
    inference(equality_inference,[],[2262]) ).

cnf(i_0_2269,plain,
    ~ sum(n52,n53,n0),
    inference(equality_inference,[],[2263]) ).

cnf(i_0_2270,plain,
    difference(n0,n48,nn48),
    inference(scs_inference,[],[i_0_2231,i_0_602]) ).

cnf(i_0_2271,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2272,plain,
    ~ sum(n48,nn48,nn10),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2273,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2274,plain,
    sum(n46,nn46,n0),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_754,i_0_664,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2275,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2276,plain,
    rdn_add_with_carry(rdnn(n4),rdnn(n2),rdnn(n2),rdnn(n8)),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_754,i_0_664,i_0_518,i_0_496,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2277,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2278,plain,
    less(nn46,n47),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_753,i_0_754,i_0_664,i_0_518,i_0_496,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2279,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2280,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n0)),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_753,i_0_754,i_0_664,i_0_821,i_0_518,i_0_496,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2281,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2282,plain,
    ~ less_or_equal(n49,nn48),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_821,i_0_518,i_0_2251,i_0_496,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2283,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2284,plain,
    rdnn(n1) != rdnn(n2),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_821,i_0_827,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2285,plain,
    rdnn(n9) != rdnn(n0),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_820,i_0_821,i_0_827,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2286,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n4)),rdn(rdnn(n6),rdnn(n4))),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_820,i_0_821,i_0_827,i_0_866,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2287,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2288,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2289,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n4)),rdn(rdnn(n5),rdnn(n4))),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2290,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2291,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2292,plain,
    n47 != nn46,
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2293,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2294,plain,
    ~ less(n47,nn46),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2295,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2296,plain,
    less_or_equal(nn46,n47),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2297,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2298,plain,
    ~ sum(n46,n47,n0),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2299,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2300,plain,
    ( less(rdnn(n5),rdnn(n0))
    | less(rdnn(n0),rdnn(n5)) ),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_1467,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2301,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2302,plain,
    nn46 != n47,
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_1467,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2303,plain,
    ( X1 != n49
    | ~ less(X1,nn48) ),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_1467,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2304,plain,
    ( X1 != nn48
    | ~ less(n49,X1) ),
    inference(scs_inference,[],[i_0_2231,i_0_1096,i_0_1467,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2305,plain,
    ( X1 != n76
    | ~ sum(X1,nn76,nn10) ),
    inference(scs_inference,[],[i_0_1670,i_0_2231,i_0_1096,i_0_1467,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2306,plain,
    ( X1 != n0
    | ~ sum(n50,n51,X1) ),
    inference(scs_inference,[],[i_0_1670,i_0_2212,i_0_2231,i_0_1096,i_0_1467,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2307,plain,
    ( ~ sum(n47,nn46,X1)
    | sum(nn46,n47,X1) ),
    inference(scs_inference,[],[i_0_1670,i_0_2212,i_0_2231,i_0_1096,i_0_1467,i_0_2237,i_0_2249,i_0_753,i_0_754,i_0_664,i_0_665,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2287,i_0_518,i_0_2251,i_0_496,i_0_1001,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2308,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2309,plain,
    ~ less(n49,nn48),
    inference(equality_inference,[],[2303]) ).

cnf(i_0_2310,plain,
    ~ less(n49,nn48),
    inference(equality_inference,[],[2304]) ).

cnf(i_0_2311,plain,
    ~ sum(n76,nn76,nn10),
    inference(equality_inference,[],[2305]) ).

cnf(i_0_2312,plain,
    ~ sum(n50,n51,n0),
    inference(equality_inference,[],[2306]) ).

cnf(i_0_2313,plain,
    difference(n0,n46,nn46),
    inference(scs_inference,[],[i_0_2274,i_0_602]) ).

cnf(i_0_2314,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2315,plain,
    ~ sum(n46,nn46,nn10),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2316,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2317,plain,
    sum(n44,nn44,n0),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_756,i_0_666,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2318,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2319,plain,
    rdn_add_with_carry(rdnn(n6),rdnn(n2),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_756,i_0_666,i_0_519,i_0_504,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2320,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2321,plain,
    less(nn44,n45),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_755,i_0_756,i_0_666,i_0_519,i_0_504,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2322,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2323,plain,
    ~ rdn_positive_less(rdnn(n6),rdnn(n5)),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_755,i_0_756,i_0_666,i_0_823,i_0_519,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2324,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2325,plain,
    ~ less_or_equal(n47,nn46),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_823,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2326,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2327,plain,
    rdnn(n4) != rdnn(n6),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_824,i_0_823,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2328,plain,
    rdnn(n7) != rdnn(n5),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_824,i_0_822,i_0_823,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2329,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n4)),rdn(rdnn(n4),rdnn(n4))),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_824,i_0_822,i_0_823,i_0_866,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2330,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2331,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2332,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n4)),rdn(rdnn(n3),rdnn(n4))),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2333,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2334,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2335,plain,
    n45 != nn44,
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2336,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2337,plain,
    ~ less(n45,nn44),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2338,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2339,plain,
    less_or_equal(nn44,n45),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2340,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2341,plain,
    ~ sum(n44,n45,n0),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2342,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2343,plain,
    ( less(rdnn(n6),rdnn(n0))
    | less(rdnn(n0),rdnn(n6)) ),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_1510,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2344,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2345,plain,
    nn44 != n45,
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_1510,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2346,plain,
    ( X1 != n47
    | ~ less(X1,nn46) ),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_1510,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2347,plain,
    ( X1 != nn46
    | ~ less(n47,X1) ),
    inference(scs_inference,[],[i_0_2274,i_0_1096,i_0_1510,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2348,plain,
    ( X1 != n74
    | ~ sum(X1,n75,n0) ),
    inference(scs_inference,[],[i_0_1696,i_0_2274,i_0_1096,i_0_1510,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2349,plain,
    ( X1 != n0
    | ~ sum(n48,n49,X1) ),
    inference(scs_inference,[],[i_0_1696,i_0_2255,i_0_2274,i_0_1096,i_0_1510,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2350,plain,
    ( ~ sum(n45,nn44,X1)
    | sum(nn44,n45,X1) ),
    inference(scs_inference,[],[i_0_1696,i_0_2255,i_0_2274,i_0_1096,i_0_1510,i_0_2292,i_0_755,i_0_756,i_0_666,i_0_667,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2330,i_0_519,i_0_2294,i_0_504,i_0_957,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2351,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2352,plain,
    ~ less(n47,nn46),
    inference(equality_inference,[],[2346]) ).

cnf(i_0_2353,plain,
    ~ less(n47,nn46),
    inference(equality_inference,[],[2347]) ).

cnf(i_0_2354,plain,
    ~ sum(n74,n75,n0),
    inference(equality_inference,[],[2348]) ).

cnf(i_0_2355,plain,
    ~ sum(n48,n49,n0),
    inference(equality_inference,[],[2349]) ).

cnf(i_0_2356,plain,
    difference(n0,n44,nn44),
    inference(scs_inference,[],[i_0_2317,i_0_602]) ).

cnf(i_0_2357,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2358,plain,
    ~ sum(n44,nn44,nn10),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2359,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2360,plain,
    sum(n42,nn42,n0),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_758,i_0_668,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2361,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2362,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n0),rdnn(n2)),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_758,i_0_668,i_0_520,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2363,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2364,plain,
    less(nn42,n43),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_757,i_0_758,i_0_668,i_0_520,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2365,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2366,plain,
    ~ rdn_positive_less(rdnn(n7),rdnn(n5)),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_757,i_0_758,i_0_668,i_0_822,i_0_520,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2367,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2368,plain,
    ~ less_or_equal(n45,nn44),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_822,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2369,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2370,plain,
    rdnn(n4) != rdnn(n7),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_824,i_0_822,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2371,plain,
    rdnn(n8) != rdnn(n5),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_824,i_0_821,i_0_822,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2372,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n4)),rdn(rdnn(n2),rdnn(n4))),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_824,i_0_821,i_0_822,i_0_866,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2373,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2374,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2375,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n4)),rdn(rdnn(n1),rdnn(n4))),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2376,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2377,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2378,plain,
    n43 != nn42,
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2379,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2380,plain,
    ~ less(n43,nn42),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2381,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2382,plain,
    less_or_equal(nn42,n43),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2383,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2384,plain,
    ~ sum(n42,n43,n0),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2385,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2386,plain,
    ( less(rdnn(n7),rdnn(n0))
    | less(rdnn(n0),rdnn(n7)) ),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_1553,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2387,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2388,plain,
    nn42 != n43,
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_1553,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2389,plain,
    ( X1 != n45
    | ~ less(X1,nn44) ),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_1553,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2390,plain,
    ( X1 != nn44
    | ~ less(n45,X1) ),
    inference(scs_inference,[],[i_0_2317,i_0_1096,i_0_1553,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2391,plain,
    ( X1 != n74
    | ~ sum(X1,nn74,nn10) ),
    inference(scs_inference,[],[i_0_1713,i_0_2317,i_0_1096,i_0_1553,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2392,plain,
    ( X1 != n0
    | ~ sum(n46,n47,X1) ),
    inference(scs_inference,[],[i_0_1713,i_0_2298,i_0_2317,i_0_1096,i_0_1553,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2393,plain,
    ( ~ sum(n43,nn42,X1)
    | sum(nn42,n43,X1) ),
    inference(scs_inference,[],[i_0_1713,i_0_2298,i_0_2317,i_0_1096,i_0_1553,i_0_2323,i_0_2335,i_0_757,i_0_758,i_0_668,i_0_669,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2373,i_0_520,i_0_2337,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2394,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2395,plain,
    ~ less(n45,nn44),
    inference(equality_inference,[],[2389]) ).

cnf(i_0_2396,plain,
    ~ less(n45,nn44),
    inference(equality_inference,[],[2390]) ).

cnf(i_0_2397,plain,
    ~ sum(n74,nn74,nn10),
    inference(equality_inference,[],[2391]) ).

cnf(i_0_2398,plain,
    ~ sum(n46,n47,n0),
    inference(equality_inference,[],[2392]) ).

cnf(i_0_2399,plain,
    difference(n0,n42,nn42),
    inference(scs_inference,[],[i_0_2360,i_0_602]) ).

cnf(i_0_2400,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2401,plain,
    ~ sum(n42,nn42,nn10),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2402,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2403,plain,
    sum(n40,nn40,n0),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_760,i_0_670,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2404,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2405,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n1),rdnn(n8),rdnn(n9)),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_760,i_0_670,i_0_522,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2406,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2407,plain,
    less(nn40,n41),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_759,i_0_760,i_0_670,i_0_522,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2408,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2409,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n5)),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_759,i_0_760,i_0_670,i_0_821,i_0_522,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2410,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2411,plain,
    ~ less_or_equal(n43,nn42),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_821,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2412,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2413,plain,
    rdnn(n4) != rdnn(n8),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_824,i_0_821,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2414,plain,
    rdnn(n9) != rdnn(n5),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_820,i_0_824,i_0_821,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2415,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n4)),rdn(rdnn(n0),rdnn(n4))),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_820,i_0_824,i_0_821,i_0_866,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2416,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2417,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2418,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n3)),rdn(rdnn(n9),rdnn(n3))),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2419,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2420,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2421,plain,
    n41 != nn40,
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2422,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2423,plain,
    ~ less(n41,nn40),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2424,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2425,plain,
    less_or_equal(nn40,n41),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2426,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2427,plain,
    ~ sum(n40,n41,n0),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2428,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2429,plain,
    ( less(rdnn(n8),rdnn(n0))
    | less(rdnn(n0),rdnn(n8)) ),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_1596,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2430,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2431,plain,
    nn40 != n41,
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_1596,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2432,plain,
    ( X1 != n43
    | ~ less(X1,nn42) ),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_1596,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2433,plain,
    ( X1 != nn42
    | ~ less(n43,X1) ),
    inference(scs_inference,[],[i_0_2360,i_0_1096,i_0_1596,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2434,plain,
    ( X1 != n72
    | ~ sum(X1,n73,n0) ),
    inference(scs_inference,[],[i_0_1739,i_0_2360,i_0_1096,i_0_1596,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2435,plain,
    ( X1 != n0
    | ~ sum(n44,n45,X1) ),
    inference(scs_inference,[],[i_0_1739,i_0_2341,i_0_2360,i_0_1096,i_0_1596,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2436,plain,
    ( ~ sum(n41,nn40,X1)
    | sum(nn40,n41,X1) ),
    inference(scs_inference,[],[i_0_1739,i_0_2341,i_0_2360,i_0_1096,i_0_1596,i_0_2366,i_0_2378,i_0_759,i_0_760,i_0_670,i_0_671,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2416,i_0_522,i_0_2380,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2437,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2438,plain,
    ~ less(n43,nn42),
    inference(equality_inference,[],[2432]) ).

cnf(i_0_2439,plain,
    ~ less(n43,nn42),
    inference(equality_inference,[],[2433]) ).

cnf(i_0_2440,plain,
    ~ sum(n72,n73,n0),
    inference(equality_inference,[],[2434]) ).

cnf(i_0_2441,plain,
    ~ sum(n44,n45,n0),
    inference(equality_inference,[],[2435]) ).

cnf(i_0_2442,plain,
    difference(n0,n40,nn40),
    inference(scs_inference,[],[i_0_2403,i_0_602]) ).

cnf(i_0_2443,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2444,plain,
    ~ sum(n40,nn40,nn10),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2445,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2446,plain,
    sum(n38,nn38,n0),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_762,i_0_672,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2447,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2448,plain,
    rdn_add_with_carry(rdnn(n1),rdnn(n1),rdnn(n7),rdnn(n9)),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_762,i_0_672,i_0_523,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2449,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2450,plain,
    less(nn38,n39),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_761,i_0_762,i_0_672,i_0_523,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2451,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2452,plain,
    ~ rdn_positive_less(rdnn(n5),rdnn(n4)),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_761,i_0_762,i_0_672,i_0_824,i_0_523,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2453,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2454,plain,
    ~ less_or_equal(n41,nn40),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_824,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2455,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2456,plain,
    rdnn(n3) != rdnn(n5),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_825,i_0_824,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2457,plain,
    rdnn(n6) != rdnn(n4),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_825,i_0_823,i_0_824,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2458,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n3)),rdn(rdnn(n8),rdnn(n3))),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_825,i_0_823,i_0_824,i_0_866,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2459,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2460,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2461,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n3)),rdn(rdnn(n7),rdnn(n3))),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2462,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2463,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2464,plain,
    n39 != nn38,
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2465,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2466,plain,
    ~ less(n39,nn38),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2467,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2468,plain,
    less_or_equal(nn38,n39),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2469,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2470,plain,
    ~ sum(n38,n39,n0),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2471,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2472,plain,
    ( less(rdnn(n7),rdnn(n5))
    | less(rdnn(n5),rdnn(n7)) ),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_1940,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2473,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2474,plain,
    nn38 != n39,
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_1940,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2475,plain,
    ( X1 != n41
    | ~ less(X1,nn40) ),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_1940,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2476,plain,
    ( X1 != nn40
    | ~ less(n41,X1) ),
    inference(scs_inference,[],[i_0_2403,i_0_1096,i_0_1940,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2477,plain,
    ( X1 != n72
    | ~ sum(X1,nn72,nn10) ),
    inference(scs_inference,[],[i_0_1756,i_0_2403,i_0_1096,i_0_1940,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2478,plain,
    ( X1 != n0
    | ~ sum(n42,n43,X1) ),
    inference(scs_inference,[],[i_0_1756,i_0_2384,i_0_2403,i_0_1096,i_0_1940,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2479,plain,
    ( ~ sum(n39,nn38,X1)
    | sum(nn38,n39,X1) ),
    inference(scs_inference,[],[i_0_1756,i_0_2384,i_0_2403,i_0_1096,i_0_1940,i_0_2421,i_0_761,i_0_762,i_0_672,i_0_673,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2459,i_0_523,i_0_2423,i_0_960,i_0_459,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2480,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2481,plain,
    ~ less(n41,nn40),
    inference(equality_inference,[],[2475]) ).

cnf(i_0_2482,plain,
    ~ less(n41,nn40),
    inference(equality_inference,[],[2476]) ).

cnf(i_0_2483,plain,
    ~ sum(n72,nn72,nn10),
    inference(equality_inference,[],[2477]) ).

cnf(i_0_2484,plain,
    ~ sum(n42,n43,n0),
    inference(equality_inference,[],[2478]) ).

cnf(i_0_2485,plain,
    difference(n0,n38,nn38),
    inference(scs_inference,[],[i_0_2446,i_0_602]) ).

cnf(i_0_2486,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2487,plain,
    ~ sum(n38,nn38,nn10),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2488,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2489,plain,
    sum(n36,nn36,n0),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_764,i_0_674,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2490,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2491,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n1),rdnn(n6),rdnn(n7)),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_764,i_0_674,i_0_524,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2492,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2493,plain,
    less(nn36,n37),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_763,i_0_764,i_0_674,i_0_524,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2494,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2495,plain,
    ~ rdn_positive_less(rdnn(n6),rdnn(n4)),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_763,i_0_764,i_0_674,i_0_823,i_0_524,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2496,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2497,plain,
    ~ less_or_equal(n39,nn38),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_823,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2498,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2499,plain,
    rdnn(n3) != rdnn(n6),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_825,i_0_823,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2500,plain,
    rdnn(n7) != rdnn(n4),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_825,i_0_822,i_0_823,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2501,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n3)),rdn(rdnn(n6),rdnn(n3))),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_825,i_0_822,i_0_823,i_0_866,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2502,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2503,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2504,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n3)),rdn(rdnn(n5),rdnn(n3))),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2505,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2506,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2507,plain,
    n37 != nn36,
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2508,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2509,plain,
    ~ less(n37,nn36),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2510,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2511,plain,
    less_or_equal(nn36,n37),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2512,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2513,plain,
    ~ sum(n36,n37,n0),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2514,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2515,plain,
    ( less(rdnn(n8),rdnn(n5))
    | less(rdnn(n5),rdnn(n8)) ),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_1983,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2516,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2517,plain,
    nn36 != n37,
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_1983,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2518,plain,
    ( X1 != n39
    | ~ less(X1,nn38) ),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_1983,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2519,plain,
    ( X1 != nn38
    | ~ less(n39,X1) ),
    inference(scs_inference,[],[i_0_2446,i_0_1096,i_0_1983,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2520,plain,
    ( X1 != n70
    | ~ sum(X1,n71,n0) ),
    inference(scs_inference,[],[i_0_1782,i_0_2446,i_0_1096,i_0_1983,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2521,plain,
    ( X1 != n0
    | ~ sum(n40,n41,X1) ),
    inference(scs_inference,[],[i_0_1782,i_0_2427,i_0_2446,i_0_1096,i_0_1983,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2522,plain,
    ( ~ sum(n37,nn36,X1)
    | sum(nn36,n37,X1) ),
    inference(scs_inference,[],[i_0_1782,i_0_2427,i_0_2446,i_0_1096,i_0_1983,i_0_2452,i_0_2464,i_0_763,i_0_764,i_0_674,i_0_675,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2502,i_0_524,i_0_2466,i_0_470,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2523,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2524,plain,
    ~ less(n39,nn38),
    inference(equality_inference,[],[2518]) ).

cnf(i_0_2525,plain,
    ~ less(n39,nn38),
    inference(equality_inference,[],[2519]) ).

cnf(i_0_2526,plain,
    ~ sum(n70,n71,n0),
    inference(equality_inference,[],[2520]) ).

cnf(i_0_2527,plain,
    ~ sum(n40,n41,n0),
    inference(equality_inference,[],[2521]) ).

cnf(i_0_2528,plain,
    difference(n0,n36,nn36),
    inference(scs_inference,[],[i_0_2489,i_0_602]) ).

cnf(i_0_2529,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2530,plain,
    ~ sum(n36,nn36,nn10),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2531,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2532,plain,
    sum(n34,nn34,n0),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_766,i_0_676,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2533,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2534,plain,
    rdn_add_with_carry(rdnn(n3),rdnn(n1),rdnn(n5),rdnn(n9)),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_766,i_0_676,i_0_525,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2535,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2536,plain,
    less(nn34,n35),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_765,i_0_766,i_0_676,i_0_525,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2537,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2538,plain,
    ~ rdn_positive_less(rdnn(n7),rdnn(n4)),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_765,i_0_766,i_0_676,i_0_822,i_0_525,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2539,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2540,plain,
    ~ less_or_equal(n37,nn36),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_822,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2541,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2542,plain,
    rdnn(n3) != rdnn(n7),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_825,i_0_822,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2543,plain,
    rdnn(n8) != rdnn(n4),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_825,i_0_821,i_0_822,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2544,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n4),rdnn(n3))),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_825,i_0_821,i_0_822,i_0_866,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2545,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2546,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2547,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n3)),rdn(rdnn(n3),rdnn(n3))),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2548,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2549,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2550,plain,
    n35 != nn34,
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2551,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2552,plain,
    ~ less(n35,nn34),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2553,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2554,plain,
    less_or_equal(nn34,n35),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2555,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2556,plain,
    ~ sum(n34,n35,n0),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2557,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2558,plain,
    ( less(rdnn(n6),rdnn(n4))
    | less(rdnn(n4),rdnn(n6)) ),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2327,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2559,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2560,plain,
    nn34 != n35,
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2327,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2561,plain,
    ( X1 != n37
    | ~ less(X1,nn36) ),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2327,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2562,plain,
    ( X1 != nn36
    | ~ less(n37,X1) ),
    inference(scs_inference,[],[i_0_2489,i_0_1096,i_0_2327,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2563,plain,
    ( X1 != n70
    | ~ sum(X1,nn70,nn10) ),
    inference(scs_inference,[],[i_0_1799,i_0_2489,i_0_1096,i_0_2327,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2564,plain,
    ( X1 != n0
    | ~ sum(n38,n39,X1) ),
    inference(scs_inference,[],[i_0_1799,i_0_2470,i_0_2489,i_0_1096,i_0_2327,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2565,plain,
    ( ~ sum(n35,nn34,X1)
    | sum(nn34,n35,X1) ),
    inference(scs_inference,[],[i_0_1799,i_0_2470,i_0_2489,i_0_1096,i_0_2327,i_0_2495,i_0_2507,i_0_765,i_0_766,i_0_676,i_0_677,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2545,i_0_525,i_0_2509,i_0_477,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2566,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2567,plain,
    ~ less(n37,nn36),
    inference(equality_inference,[],[2561]) ).

cnf(i_0_2568,plain,
    ~ less(n37,nn36),
    inference(equality_inference,[],[2562]) ).

cnf(i_0_2569,plain,
    ~ sum(n70,nn70,nn10),
    inference(equality_inference,[],[2563]) ).

cnf(i_0_2570,plain,
    ~ sum(n38,n39,n0),
    inference(equality_inference,[],[2564]) ).

cnf(i_0_2571,plain,
    difference(n0,n34,nn34),
    inference(scs_inference,[],[i_0_2532,i_0_602]) ).

cnf(i_0_2572,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2573,plain,
    ~ sum(n34,nn34,nn10),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2574,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2575,plain,
    sum(n32,nn32,n0),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_768,i_0_678,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2576,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2577,plain,
    rdn_add_with_carry(rdnn(n1),rdnn(n1),rdnn(n4),rdnn(n6)),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_768,i_0_678,i_0_526,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2578,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2579,plain,
    less(nn32,n33),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_767,i_0_768,i_0_678,i_0_526,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2580,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2581,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n4)),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_767,i_0_768,i_0_678,i_0_821,i_0_526,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2582,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2583,plain,
    ~ less_or_equal(n35,nn34),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_821,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2584,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2585,plain,
    rdnn(n3) != rdnn(n8),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_825,i_0_821,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2586,plain,
    rdnn(n9) != rdnn(n4),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_820,i_0_825,i_0_821,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2587,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n3)),rdn(rdnn(n2),rdnn(n3))),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_820,i_0_825,i_0_821,i_0_866,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2588,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2589,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2590,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n3)),rdn(rdnn(n1),rdnn(n3))),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2591,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2592,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2593,plain,
    n33 != nn32,
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2594,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2595,plain,
    ~ less(n33,nn32),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2596,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2597,plain,
    less_or_equal(nn32,n33),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2598,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2599,plain,
    ~ sum(n32,n33,n0),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2600,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2601,plain,
    ( less(rdnn(n7),rdnn(n4))
    | less(rdnn(n4),rdnn(n7)) ),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2370,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2602,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2603,plain,
    nn32 != n33,
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2370,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2604,plain,
    ( X1 != n35
    | ~ less(X1,nn34) ),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2370,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2605,plain,
    ( X1 != nn34
    | ~ less(n35,X1) ),
    inference(scs_inference,[],[i_0_2532,i_0_1096,i_0_2370,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2606,plain,
    ( X1 != n68
    | ~ sum(X1,n69,n0) ),
    inference(scs_inference,[],[i_0_1825,i_0_2532,i_0_1096,i_0_2370,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2607,plain,
    ( X1 != n0
    | ~ sum(n36,n37,X1) ),
    inference(scs_inference,[],[i_0_1825,i_0_2513,i_0_2532,i_0_1096,i_0_2370,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2608,plain,
    ( ~ sum(n33,nn32,X1)
    | sum(nn32,n33,X1) ),
    inference(scs_inference,[],[i_0_1825,i_0_2513,i_0_2532,i_0_1096,i_0_2370,i_0_2538,i_0_2550,i_0_767,i_0_768,i_0_678,i_0_679,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2588,i_0_526,i_0_2552,i_0_489,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2609,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2610,plain,
    ~ less(n35,nn34),
    inference(equality_inference,[],[2604]) ).

cnf(i_0_2611,plain,
    ~ less(n35,nn34),
    inference(equality_inference,[],[2605]) ).

cnf(i_0_2612,plain,
    ~ sum(n68,n69,n0),
    inference(equality_inference,[],[2606]) ).

cnf(i_0_2613,plain,
    ~ sum(n36,n37,n0),
    inference(equality_inference,[],[2607]) ).

cnf(i_0_2614,plain,
    difference(n0,n32,nn32),
    inference(scs_inference,[],[i_0_2575,i_0_602]) ).

cnf(i_0_2615,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2616,plain,
    ~ sum(n32,nn32,nn10),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2617,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2618,plain,
    sum(n30,nn30,n0),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_770,i_0_680,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2619,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2620,plain,
    rdn_add_with_carry(rdnn(n3),rdnn(n1),rdnn(n3),rdnn(n7)),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_770,i_0_680,i_0_527,i_0_497,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2621,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2622,plain,
    less(nn30,n31),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_769,i_0_770,i_0_680,i_0_527,i_0_497,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2623,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2624,plain,
    ~ rdn_positive_less(rdnn(n4),rdnn(n3)),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_769,i_0_770,i_0_680,i_0_825,i_0_527,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2625,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2626,plain,
    ~ less_or_equal(n33,nn32),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_825,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2627,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2628,plain,
    rdnn(n2) != rdnn(n4),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_826,i_0_825,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2629,plain,
    rdnn(n5) != rdnn(n3),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_826,i_0_824,i_0_825,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2630,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n3)),rdn(rdnn(n0),rdnn(n3))),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_826,i_0_824,i_0_825,i_0_866,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2631,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2632,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2633,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n2)),rdn(rdnn(n9),rdnn(n2))),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2634,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2635,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2636,plain,
    n31 != nn30,
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2637,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2638,plain,
    ~ less(n31,nn30),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2639,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2640,plain,
    less_or_equal(nn30,n31),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2641,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2642,plain,
    ~ sum(n30,n31,n0),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2643,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2644,plain,
    ( less(rdnn(n8),rdnn(n4))
    | less(rdnn(n4),rdnn(n8)) ),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2413,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2645,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2646,plain,
    nn30 != n31,
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2413,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2647,plain,
    ( X1 != n33
    | ~ less(X1,nn32) ),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2413,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2648,plain,
    ( X1 != nn32
    | ~ less(n33,X1) ),
    inference(scs_inference,[],[i_0_2575,i_0_1096,i_0_2413,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2649,plain,
    ( X1 != n68
    | ~ sum(X1,nn68,nn10) ),
    inference(scs_inference,[],[i_0_1842,i_0_2575,i_0_1096,i_0_2413,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2650,plain,
    ( X1 != n0
    | ~ sum(n34,n35,X1) ),
    inference(scs_inference,[],[i_0_1842,i_0_2556,i_0_2575,i_0_1096,i_0_2413,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2651,plain,
    ( ~ sum(n31,nn30,X1)
    | sum(nn30,n31,X1) ),
    inference(scs_inference,[],[i_0_1842,i_0_2556,i_0_2575,i_0_1096,i_0_2413,i_0_2593,i_0_769,i_0_770,i_0_680,i_0_681,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2631,i_0_527,i_0_2595,i_0_497,i_0_998,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2652,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2653,plain,
    ~ less(n33,nn32),
    inference(equality_inference,[],[2647]) ).

cnf(i_0_2654,plain,
    ~ less(n33,nn32),
    inference(equality_inference,[],[2648]) ).

cnf(i_0_2655,plain,
    ~ sum(n68,nn68,nn10),
    inference(equality_inference,[],[2649]) ).

cnf(i_0_2656,plain,
    ~ sum(n34,n35,n0),
    inference(equality_inference,[],[2650]) ).

cnf(i_0_2657,plain,
    difference(n0,n30,nn30),
    inference(scs_inference,[],[i_0_2618,i_0_602]) ).

cnf(i_0_2658,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2659,plain,
    ~ sum(n30,nn30,nn10),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2660,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2661,plain,
    sum(n28,nn28,n0),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_772,i_0_682,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2662,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2663,plain,
    rdn_add_with_carry(rdnn(n5),rdnn(n1),rdnn(n2),rdnn(n8)),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_772,i_0_682,i_0_528,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2664,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2665,plain,
    less(nn28,n29),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_771,i_0_772,i_0_682,i_0_528,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2666,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2667,plain,
    ~ rdn_positive_less(rdnn(n5),rdnn(n3)),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_771,i_0_772,i_0_682,i_0_824,i_0_528,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2668,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2669,plain,
    ~ less_or_equal(n31,nn30),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_824,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2670,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2671,plain,
    rdnn(n2) != rdnn(n5),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_826,i_0_824,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2672,plain,
    rdnn(n6) != rdnn(n3),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_826,i_0_823,i_0_824,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2673,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n2)),rdn(rdnn(n8),rdnn(n2))),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_826,i_0_823,i_0_824,i_0_866,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2674,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2675,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2676,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n2)),rdn(rdnn(n7),rdnn(n2))),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2677,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2678,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2679,plain,
    n29 != nn28,
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2680,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2681,plain,
    ~ less(n29,nn28),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2682,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2683,plain,
    less_or_equal(nn28,n29),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2684,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2685,plain,
    ~ sum(n28,n29,n0),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2686,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2687,plain,
    ( less(rdnn(n5),rdnn(n3))
    | less(rdnn(n3),rdnn(n5)) ),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2456,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2688,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2689,plain,
    nn28 != n29,
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2456,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2690,plain,
    ( X1 != n31
    | ~ less(X1,nn30) ),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2456,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2691,plain,
    ( X1 != nn30
    | ~ less(n31,X1) ),
    inference(scs_inference,[],[i_0_2618,i_0_1096,i_0_2456,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2692,plain,
    ( X1 != n66
    | ~ sum(X1,n67,n0) ),
    inference(scs_inference,[],[i_0_1868,i_0_2618,i_0_1096,i_0_2456,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2693,plain,
    ( X1 != n0
    | ~ sum(n32,n33,X1) ),
    inference(scs_inference,[],[i_0_1868,i_0_2599,i_0_2618,i_0_1096,i_0_2456,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2694,plain,
    ( ~ sum(n29,nn28,X1)
    | sum(nn28,n29,X1) ),
    inference(scs_inference,[],[i_0_1868,i_0_2599,i_0_2618,i_0_1096,i_0_2456,i_0_2624,i_0_2636,i_0_771,i_0_772,i_0_682,i_0_683,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2674,i_0_528,i_0_2638,i_0_505,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2695,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2696,plain,
    ~ less(n31,nn30),
    inference(equality_inference,[],[2690]) ).

cnf(i_0_2697,plain,
    ~ less(n31,nn30),
    inference(equality_inference,[],[2691]) ).

cnf(i_0_2698,plain,
    ~ sum(n66,n67,n0),
    inference(equality_inference,[],[2692]) ).

cnf(i_0_2699,plain,
    ~ sum(n32,n33,n0),
    inference(equality_inference,[],[2693]) ).

cnf(i_0_2700,plain,
    difference(n0,n28,nn28),
    inference(scs_inference,[],[i_0_2661,i_0_602]) ).

cnf(i_0_2701,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2702,plain,
    ~ sum(n28,nn28,nn10),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2703,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2704,plain,
    sum(n26,nn26,n0),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_774,i_0_684,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2705,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2706,plain,
    rdn_add_with_carry(rdnn(n7),rdnn(n1),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_774,i_0_684,i_0_529,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2707,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2708,plain,
    less(nn26,n27),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_773,i_0_774,i_0_684,i_0_529,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2709,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2710,plain,
    ~ rdn_positive_less(rdnn(n6),rdnn(n3)),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_773,i_0_774,i_0_684,i_0_823,i_0_529,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2711,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2712,plain,
    ~ less_or_equal(n29,nn28),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_823,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2713,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2714,plain,
    rdnn(n2) != rdnn(n6),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_826,i_0_823,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2715,plain,
    rdnn(n7) != rdnn(n3),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_826,i_0_822,i_0_823,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2716,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n2)),rdn(rdnn(n6),rdnn(n2))),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_826,i_0_822,i_0_823,i_0_866,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2717,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2718,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2719,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2720,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2721,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2722,plain,
    n27 != nn26,
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2723,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2724,plain,
    ~ less(n27,nn26),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2725,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2726,plain,
    less_or_equal(nn26,n27),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2727,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2728,plain,
    ~ sum(n26,n27,n0),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2729,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2730,plain,
    ( less(rdnn(n6),rdnn(n3))
    | less(rdnn(n3),rdnn(n6)) ),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2499,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2731,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2732,plain,
    nn26 != n27,
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2499,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2733,plain,
    ( X1 != n29
    | ~ less(X1,nn28) ),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2499,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2734,plain,
    ( X1 != nn28
    | ~ less(n29,X1) ),
    inference(scs_inference,[],[i_0_2661,i_0_1096,i_0_2499,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2735,plain,
    ( X1 != n66
    | ~ sum(X1,nn66,nn10) ),
    inference(scs_inference,[],[i_0_1885,i_0_2661,i_0_1096,i_0_2499,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2736,plain,
    ( X1 != n0
    | ~ sum(n30,n31,X1) ),
    inference(scs_inference,[],[i_0_1885,i_0_2642,i_0_2661,i_0_1096,i_0_2499,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2737,plain,
    ( ~ sum(n27,nn26,X1)
    | sum(nn26,n27,X1) ),
    inference(scs_inference,[],[i_0_1885,i_0_2642,i_0_2661,i_0_1096,i_0_2499,i_0_2667,i_0_2679,i_0_773,i_0_774,i_0_684,i_0_685,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2717,i_0_529,i_0_2681,i_0_513,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2738,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2739,plain,
    ~ less(n29,nn28),
    inference(equality_inference,[],[2733]) ).

cnf(i_0_2740,plain,
    ~ less(n29,nn28),
    inference(equality_inference,[],[2734]) ).

cnf(i_0_2741,plain,
    ~ sum(n66,nn66,nn10),
    inference(equality_inference,[],[2735]) ).

cnf(i_0_2742,plain,
    ~ sum(n30,n31,n0),
    inference(equality_inference,[],[2736]) ).

cnf(i_0_2743,plain,
    difference(n0,n26,nn26),
    inference(scs_inference,[],[i_0_2704,i_0_602]) ).

cnf(i_0_2744,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2745,plain,
    ~ sum(n26,nn26,nn10),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2746,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2747,plain,
    sum(n24,nn24,n0),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_776,i_0_686,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2748,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2749,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n1),rdnn(n0),rdnn(n1)),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_776,i_0_686,i_0_530,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2750,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2751,plain,
    less(nn24,n25),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_775,i_0_776,i_0_686,i_0_530,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2752,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2753,plain,
    ~ rdn_positive_less(rdnn(n7),rdnn(n3)),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_775,i_0_776,i_0_686,i_0_822,i_0_530,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2754,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2755,plain,
    ~ less_or_equal(n27,nn26),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_822,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2756,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2757,plain,
    rdnn(n2) != rdnn(n7),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_826,i_0_822,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2758,plain,
    rdnn(n8) != rdnn(n3),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_826,i_0_821,i_0_822,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2759,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n4),rdnn(n2))),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_826,i_0_821,i_0_822,i_0_866,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2760,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2761,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2762,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n3),rdnn(n2))),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2763,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2764,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2765,plain,
    n25 != nn24,
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2766,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2767,plain,
    ~ less(n25,nn24),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2768,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2769,plain,
    less_or_equal(nn24,n25),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2770,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2771,plain,
    ~ sum(n24,n25,n0),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2772,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2773,plain,
    ( less(rdnn(n7),rdnn(n3))
    | less(rdnn(n3),rdnn(n7)) ),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2542,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2774,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2775,plain,
    nn24 != n25,
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2542,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2776,plain,
    ( X1 != n27
    | ~ less(X1,nn26) ),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2542,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2777,plain,
    ( X1 != nn26
    | ~ less(n27,X1) ),
    inference(scs_inference,[],[i_0_2704,i_0_1096,i_0_2542,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2778,plain,
    ( X1 != n64
    | ~ sum(X1,n65,n0) ),
    inference(scs_inference,[],[i_0_1911,i_0_2704,i_0_1096,i_0_2542,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2779,plain,
    ( X1 != n0
    | ~ sum(n28,n29,X1) ),
    inference(scs_inference,[],[i_0_1911,i_0_2685,i_0_2704,i_0_1096,i_0_2542,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2780,plain,
    ( ~ sum(n25,nn24,X1)
    | sum(nn24,n25,X1) ),
    inference(scs_inference,[],[i_0_1911,i_0_2685,i_0_2704,i_0_1096,i_0_2542,i_0_2710,i_0_2722,i_0_775,i_0_776,i_0_686,i_0_687,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2760,i_0_530,i_0_2724,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2781,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2782,plain,
    ~ less(n27,nn26),
    inference(equality_inference,[],[2776]) ).

cnf(i_0_2783,plain,
    ~ less(n27,nn26),
    inference(equality_inference,[],[2777]) ).

cnf(i_0_2784,plain,
    ~ sum(n64,n65,n0),
    inference(equality_inference,[],[2778]) ).

cnf(i_0_2785,plain,
    ~ sum(n28,n29,n0),
    inference(equality_inference,[],[2779]) ).

cnf(i_0_2786,plain,
    difference(n0,n24,nn24),
    inference(scs_inference,[],[i_0_2747,i_0_602]) ).

cnf(i_0_2787,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2788,plain,
    ~ sum(n24,nn24,nn10),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2789,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2790,plain,
    sum(n22,nn22,n0),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_778,i_0_688,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2791,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2792,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n9),rdnn(n9)),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_778,i_0_688,i_0_531,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2793,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2794,plain,
    less(nn22,n23),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_777,i_0_778,i_0_688,i_0_531,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2795,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2796,plain,
    ~ rdn_positive_less(rdnn(n8),rdnn(n3)),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_777,i_0_778,i_0_688,i_0_821,i_0_531,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608]) ).

cnf(i_0_2797,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2798,plain,
    ~ less_or_equal(n25,nn24),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_821,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796]) ).

cnf(i_0_2799,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2800,plain,
    rdnn(n2) != rdnn(n8),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_826,i_0_821,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857]) ).

cnf(i_0_2801,plain,
    rdnn(n9) != rdnn(n3),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_820,i_0_826,i_0_821,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858]) ).

cnf(i_0_2802,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n2)),rdn(rdnn(n2),rdnn(n2))),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_820,i_0_826,i_0_821,i_0_866,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609]) ).

cnf(i_0_2803,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2804,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2805,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdnn(n2)),rdn(rdnn(n1),rdnn(n2))),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610]) ).

cnf(i_0_2806,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2807,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2808,plain,
    n23 != nn22,
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2809,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2810,plain,
    ~ less(n23,nn22),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2811,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2812,plain,
    less_or_equal(nn22,n23),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2813,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2814,plain,
    ~ sum(n22,n23,n0),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2815,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2816,plain,
    ( less(rdnn(n8),rdnn(n3))
    | less(rdnn(n3),rdnn(n8)) ),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2585,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).

cnf(i_0_2817,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2818,plain,
    nn22 != n23,
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2585,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).

cnf(i_0_2819,plain,
    ( X1 != n25
    | ~ less(X1,nn24) ),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2585,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864]) ).

cnf(i_0_2820,plain,
    ( X1 != nn24
    | ~ less(n25,X1) ),
    inference(scs_inference,[],[i_0_2747,i_0_1096,i_0_2585,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2821,plain,
    ( X1 != n64
    | ~ sum(X1,nn64,nn10) ),
    inference(scs_inference,[],[i_0_1928,i_0_2747,i_0_1096,i_0_2585,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2822,plain,
    ( X1 != n0
    | ~ sum(n26,n27,X1) ),
    inference(scs_inference,[],[i_0_1928,i_0_2728,i_0_2747,i_0_1096,i_0_2585,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854]) ).

cnf(i_0_2823,plain,
    ( ~ sum(n23,nn22,X1)
    | sum(nn22,n23,X1) ),
    inference(scs_inference,[],[i_0_1928,i_0_2728,i_0_2747,i_0_1096,i_0_2585,i_0_2753,i_0_2765,i_0_777,i_0_778,i_0_688,i_0_689,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2803,i_0_531,i_0_2767,i_0_450,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_608,i_0_796,i_0_857,i_0_858,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_864,i_0_865,i_0_852,i_0_854,i_0_598]) ).

cnf(i_0_2824,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ sum(X3,X1,X5)
    | sum(X1,X3,X5) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_2825,plain,
    ~ less(n25,nn24),
    inference(equality_inference,[],[2819]) ).

cnf(i_0_2826,plain,
    ~ less(n25,nn24),
    inference(equality_inference,[],[2820]) ).

cnf(i_0_2827,plain,
    ~ sum(n64,nn64,nn10),
    inference(equality_inference,[],[2821]) ).

cnf(i_0_2828,plain,
    ~ sum(n26,n27,n0),
    inference(equality_inference,[],[2822]) ).

cnf(i_0_2829,plain,
    difference(n0,n22,nn22),
    inference(scs_inference,[],[i_0_2790,i_0_602]) ).

cnf(i_0_2830,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2831,plain,
    ~ sum(n22,nn22,nn10),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_602,i_0_601]) ).

cnf(i_0_2832,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2833,plain,
    sum(n20,nn20,n0),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_780,i_0_690,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2834,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2835,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n8),rdnn(n8)),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_780,i_0_690,i_0_532,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2836,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2837,plain,
    less(nn20,n21),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_779,i_0_780,i_0_690,i_0_532,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2838,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2839,plain,
    ~ less_or_equal(n23,nn22),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_2840,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2841,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdnn(n2)),rdn(rdnn(n0),rdnn(n2))),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_866,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_2842,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2843,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2844,plain,
    ~ rdn_positive_less(rdn(rdnn(n9),rdnn(n1)),rdn(rdnn(n9),rdnn(n1))),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_2845,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2846,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2847,plain,
    n21 != nn20,
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2848,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2849,plain,
    ~ less(n21,nn20),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2850,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2851,plain,
    less_or_equal(nn20,n21),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2852,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2853,plain,
    ( ~ rdn_positive_less(rdnn(n9),rdnn(X1))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n0)) ),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_1246,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_608]) ).

cnf(i_0_2854,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_2855,plain,
    ~ sum(n20,n21,n0),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_1246,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600]) ).

cnf(i_0_2856,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2857,plain,
    nn20 != n21,
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_1246,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853]) ).

cnf(i_0_2858,plain,
    ( X1 != n23
    | ~ less(X1,nn22) ),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_1246,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_864]) ).

cnf(i_0_2859,plain,
    ( X1 != nn22
    | ~ less(n23,X1) ),
    inference(scs_inference,[],[i_0_2790,i_0_1096,i_0_1246,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_864,i_0_865]) ).

cnf(i_0_2860,plain,
    ( X1 != n62
    | ~ sum(X1,n63,n0) ),
    inference(scs_inference,[],[i_0_1954,i_0_2790,i_0_1096,i_0_1246,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_864,i_0_865,i_0_852]) ).

cnf(i_0_2861,plain,
    ( X1 != rdnn(n9)
    | ~ rdn_positive_less(X1,rdnn(n0)) ),
    inference(scs_inference,[],[i_0_1954,i_0_2790,i_0_1096,i_0_1246,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_864,i_0_865,i_0_852,i_0_857]) ).

cnf(i_0_2862,plain,
    ( X1 != n0
    | ~ sum(n24,n25,X1) ),
    inference(scs_inference,[],[i_0_1954,i_0_2771,i_0_2790,i_0_1096,i_0_1246,i_0_2808,i_0_779,i_0_780,i_0_690,i_0_691,i_0_866,i_0_2842,i_0_532,i_0_2810,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_864,i_0_865,i_0_852,i_0_857,i_0_854]) ).

cnf(i_0_2863,plain,
    ~ less(n23,nn22),
    inference(equality_inference,[],[2858]) ).

cnf(i_0_2864,plain,
    ~ less(n23,nn22),
    inference(equality_inference,[],[2859]) ).

cnf(i_0_2865,plain,
    ~ sum(n62,n63,n0),
    inference(equality_inference,[],[2860]) ).

cnf(i_0_2866,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n0)),
    inference(equality_inference,[],[2861]) ).

cnf(i_0_2867,plain,
    ~ sum(n24,n25,n0),
    inference(equality_inference,[],[2862]) ).

cnf(i_0_2868,plain,
    difference(n0,n20,nn20),
    inference(scs_inference,[],[i_0_2833,i_0_602]) ).

cnf(i_0_2869,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2870,plain,
    ~ sum(n7,nn7,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_602,i_0_601]) ).

cnf(i_0_2871,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2872,plain,
    sum(n18,nn18,n0),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_782,i_0_692,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2873,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2874,plain,
    rdn_add_with_carry(rdnn(n2),rdnn(n0),rdnn(n7),rdnn(n9)),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_782,i_0_692,i_0_533,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2875,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2876,plain,
    less(nn18,n19),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_781,i_0_782,i_0_692,i_0_533,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2877,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2878,plain,
    ~ less_or_equal(n21,nn20),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_2879,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2880,plain,
    ~ rdn_positive_less(rdn(rdnn(n8),rdnn(n1)),rdn(rdnn(n8),rdnn(n1))),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_866,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_2881,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2882,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2883,plain,
    ~ rdn_positive_less(rdn(rdnn(n7),rdnn(n1)),rdn(rdnn(n7),rdnn(n1))),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_693,i_0_866,i_0_2881,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_2884,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2885,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2886,plain,
    n19 != nn18,
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_693,i_0_866,i_0_2881,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2887,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2888,plain,
    ~ less(n19,nn18),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_693,i_0_866,i_0_2881,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2889,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2890,plain,
    less_or_equal(nn18,n19),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_693,i_0_866,i_0_2881,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2891,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2892,plain,
    ~ sum(n18,n19,n0),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_693,i_0_866,i_0_2881,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2893,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2894,plain,
    ( X1 != n21
    | ~ less(X1,nn20) ),
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_693,i_0_866,i_0_2881,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_864]) ).

cnf(i_0_2895,plain,
    nn18 != n19,
    inference(scs_inference,[],[i_0_1096,i_0_904,i_0_2833,i_0_2847,i_0_781,i_0_782,i_0_692,i_0_693,i_0_866,i_0_2881,i_0_533,i_0_2849,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_864,i_0_853]) ).

cnf(i_0_2896,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2897,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2898,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2900,plain,
    ~ less(n21,nn20),
    inference(equality_inference,[],[2894]) ).

cnf(i_0_2901,plain,
    difference(n0,n18,nn18),
    inference(scs_inference,[],[i_0_2872,i_0_602]) ).

cnf(i_0_2902,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2903,plain,
    ~ sum(n5,nn5,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_602,i_0_601]) ).

cnf(i_0_2904,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2905,plain,
    sum(n16,nn16,n0),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_784,i_0_694,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2906,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2907,plain,
    rdn_add_with_carry(rdnn(n2),rdnn(n0),rdnn(n6),rdnn(n8)),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_784,i_0_694,i_0_534,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2908,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2909,plain,
    less(nn16,n17),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_783,i_0_784,i_0_694,i_0_534,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2910,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2911,plain,
    ~ less_or_equal(n19,nn18),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_2912,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2913,plain,
    ~ rdn_positive_less(rdn(rdnn(n6),rdnn(n1)),rdn(rdnn(n6),rdnn(n1))),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_866,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_2914,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2915,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2916,plain,
    ~ rdn_positive_less(rdn(rdnn(n5),rdnn(n1)),rdn(rdnn(n5),rdnn(n1))),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_695,i_0_866,i_0_2914,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_2917,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2918,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2919,plain,
    n17 != nn16,
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_695,i_0_866,i_0_2914,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2920,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2921,plain,
    ~ less(n17,nn16),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_695,i_0_866,i_0_2914,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2922,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2923,plain,
    less_or_equal(nn16,n17),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_695,i_0_866,i_0_2914,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2924,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2925,plain,
    ~ sum(n16,n17,n0),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_695,i_0_866,i_0_2914,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2926,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2927,plain,
    ( X1 != nn18
    | ~ less(n19,X1) ),
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_695,i_0_866,i_0_2914,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865]) ).

cnf(i_0_2928,plain,
    nn16 != n17,
    inference(scs_inference,[],[i_0_1096,i_0_945,i_0_2872,i_0_2886,i_0_783,i_0_784,i_0_694,i_0_695,i_0_866,i_0_2914,i_0_534,i_0_2888,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865,i_0_853]) ).

cnf(i_0_2929,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2930,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2931,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2933,plain,
    ~ less(n19,nn18),
    inference(equality_inference,[],[2927]) ).

cnf(i_0_2934,plain,
    difference(n0,n16,nn16),
    inference(scs_inference,[],[i_0_2905,i_0_602]) ).

cnf(i_0_2935,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2936,plain,
    ~ sum(n3,nn3,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_602,i_0_601]) ).

cnf(i_0_2937,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2938,plain,
    sum(n14,nn14,n0),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_786,i_0_696,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2939,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2940,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n5),rdnn(n5)),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_786,i_0_696,i_0_535,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2941,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2942,plain,
    less(nn14,n15),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_785,i_0_786,i_0_696,i_0_535,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2943,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2944,plain,
    ~ less_or_equal(n17,nn16),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_2945,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2946,plain,
    ~ rdn_positive_less(rdn(rdnn(n4),rdnn(n1)),rdn(rdnn(n4),rdnn(n1))),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_866,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_2947,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2948,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2949,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdnn(n1)),rdn(rdnn(n3),rdnn(n1))),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_697,i_0_866,i_0_2947,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_2950,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2951,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2952,plain,
    n15 != nn14,
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_697,i_0_866,i_0_2947,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2953,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2954,plain,
    ~ less(n15,nn14),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_697,i_0_866,i_0_2947,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2955,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2956,plain,
    less_or_equal(nn14,n15),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_697,i_0_866,i_0_2947,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2957,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2958,plain,
    ~ sum(n14,n15,n0),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_697,i_0_866,i_0_2947,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2959,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2960,plain,
    ( X1 != n17
    | ~ less(X1,nn16) ),
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_697,i_0_866,i_0_2947,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_864]) ).

cnf(i_0_2961,plain,
    nn14 != n15,
    inference(scs_inference,[],[i_0_1096,i_0_986,i_0_2905,i_0_2919,i_0_785,i_0_786,i_0_696,i_0_697,i_0_866,i_0_2947,i_0_535,i_0_2921,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_864,i_0_853]) ).

cnf(i_0_2962,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2963,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2964,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2966,plain,
    ~ less(n17,nn16),
    inference(equality_inference,[],[2960]) ).

cnf(i_0_2967,plain,
    difference(n0,n14,nn14),
    inference(scs_inference,[],[i_0_2938,i_0_602]) ).

cnf(i_0_2968,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_2969,plain,
    ~ sum(n1,nn1,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_602,i_0_601]) ).

cnf(i_0_2970,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_2971,plain,
    sum(n110,nn110,n0),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_587,i_0_559,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_2972,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_2973,plain,
    rdn_add_with_carry(rdnn(n2),rdnn(n0),rdnn(n4),rdnn(n6)),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_587,i_0_559,i_0_536,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_2974,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_2975,plain,
    less(nn110,n13),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_787,i_0_587,i_0_559,i_0_536,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_2976,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_2977,plain,
    ~ less_or_equal(n15,nn14),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_2978,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_2979,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1))),rdn(rdnn(n0),rdn(rdnn(n1),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_866,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_2980,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2981,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_2982,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1))),rdn(rdnn(n0),rdn(rdnn(n0),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_569,i_0_866,i_0_2980,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_2983,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2984,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_2985,plain,
    n13 != nn110,
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_569,i_0_866,i_0_2980,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_2986,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_2987,plain,
    ~ less(n13,nn110),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_569,i_0_866,i_0_2980,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_2988,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_2989,plain,
    less_or_equal(nn110,n13),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_569,i_0_866,i_0_2980,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_2990,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_2991,plain,
    ~ sum(n110,n13,n0),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_569,i_0_866,i_0_2980,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_2992,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_2993,plain,
    ( X1 != nn14
    | ~ less(n15,X1) ),
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_569,i_0_866,i_0_2980,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865]) ).

cnf(i_0_2994,plain,
    nn110 != n13,
    inference(scs_inference,[],[i_0_1096,i_0_1027,i_0_2938,i_0_2952,i_0_787,i_0_587,i_0_559,i_0_569,i_0_866,i_0_2980,i_0_536,i_0_2954,i_0_498,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865,i_0_853]) ).

cnf(i_0_2995,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2996,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_2997,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_2999,plain,
    ~ less(n15,nn14),
    inference(equality_inference,[],[2993]) ).

cnf(i_0_3000,plain,
    difference(n0,n110,nn110),
    inference(scs_inference,[],[i_0_2971,i_0_602]) ).

cnf(i_0_3001,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_3002,plain,
    ~ sum(n10,nn10,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_602,i_0_601]) ).

cnf(i_0_3003,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_3004,plain,
    sum(n120,nn120,n0),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_577,i_0_549,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_3005,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_3006,plain,
    rdn_add_with_carry(rdnn(n4),rdnn(n0),rdnn(n3),rdnn(n7)),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_577,i_0_549,i_0_537,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_3007,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_3008,plain,
    less(nn120,n100),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_597,i_0_577,i_0_549,i_0_537,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_3009,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_3010,plain,
    ~ less_or_equal(n13,nn110),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_3011,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_3012,plain,
    ~ rdn_positive_less(rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1))),rdn(rdnn(n0),rdn(rdnn(n2),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_866,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_3013,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3014,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_3015,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1))),rdn(rdnn(n1),rdn(rdnn(n1),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_558,i_0_866,i_0_3013,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_3016,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3017,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_3018,plain,
    n100 != nn120,
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_558,i_0_866,i_0_3013,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_3019,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_3020,plain,
    ~ less(n100,nn120),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_558,i_0_866,i_0_3013,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_3021,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_3022,plain,
    less_or_equal(nn120,n100),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_558,i_0_866,i_0_3013,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_3023,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_3024,plain,
    ~ sum(n120,n100,n0),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_558,i_0_866,i_0_3013,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_3025,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_3026,plain,
    ( X1 != rdnn(n7)
    | ~ rdn_positive_less(rdnn(n9),X1) ),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_949,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_558,i_0_866,i_0_3013,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_858]) ).

cnf(i_0_3027,plain,
    nn120 != n100,
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_2971,i_0_949,i_0_2985,i_0_597,i_0_577,i_0_549,i_0_558,i_0_866,i_0_3013,i_0_537,i_0_2987,i_0_506,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_858,i_0_853]) ).

cnf(i_0_3028,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3029,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3030,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_3032,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n7)),
    inference(equality_inference,[],[3026]) ).

cnf(i_0_3033,plain,
    difference(n0,n120,nn120),
    inference(scs_inference,[],[i_0_3004,i_0_602]) ).

cnf(i_0_3034,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_3035,plain,
    ~ sum(n120,nn120,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_602,i_0_601]) ).

cnf(i_0_3036,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_3037,plain,
    sum(n101,nn101,n0),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_596,i_0_568,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_3038,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_3039,plain,
    rdn_add_with_carry(rdnn(n6),rdnn(n0),rdnn(n2),rdnn(n8)),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_596,i_0_568,i_0_538,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_3040,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_3041,plain,
    less(nn101,n111),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_586,i_0_596,i_0_568,i_0_538,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_3042,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_3043,plain,
    ~ less_or_equal(n100,nn120),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_3044,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_3045,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1))),rdn(rdnn(n1),rdn(rdnn(n0),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_866,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_3046,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3047,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_3048,plain,
    ~ rdn_positive_less(rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1))),rdn(rdnn(n1),rdn(rdnn(n2),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_548,i_0_866,i_0_3046,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_3049,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3050,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_3051,plain,
    n111 != nn101,
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_548,i_0_866,i_0_3046,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_3052,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_3053,plain,
    ~ less(n111,nn101),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_548,i_0_866,i_0_3046,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_3054,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_3055,plain,
    less_or_equal(nn101,n111),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_548,i_0_866,i_0_3046,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_3056,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_3057,plain,
    ~ sum(n101,n111,n0),
    inference(scs_inference,[],[i_0_1096,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_548,i_0_866,i_0_3046,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_3058,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_3059,plain,
    ( X1 != n0
    | ~ sum(n22,n23,X1) ),
    inference(scs_inference,[],[i_0_1096,i_0_2814,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_548,i_0_866,i_0_3046,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_854]) ).

cnf(i_0_3060,plain,
    nn101 != n111,
    inference(scs_inference,[],[i_0_1096,i_0_2814,i_0_3004,i_0_3018,i_0_586,i_0_596,i_0_568,i_0_548,i_0_866,i_0_3046,i_0_538,i_0_3020,i_0_514,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_854,i_0_853]) ).

cnf(i_0_3061,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3062,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3063,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_3065,plain,
    ~ sum(n22,n23,n0),
    inference(equality_inference,[],[3059]) ).

cnf(i_0_3066,plain,
    difference(n0,n101,nn101),
    inference(scs_inference,[],[i_0_3037,i_0_602]) ).

cnf(i_0_3067,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_3068,plain,
    ~ sum(n101,nn101,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_602,i_0_601]) ).

cnf(i_0_3069,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_3070,plain,
    sum(n112,nn112,n0),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_585,i_0_557,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_3071,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_3072,plain,
    rdn_add_with_carry(rdnn(n8),rdnn(n0),rdnn(n1),rdnn(n9)),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_585,i_0_557,i_0_539,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_3073,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_3074,plain,
    less(nn112,n121),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_576,i_0_585,i_0_557,i_0_539,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_3075,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_3076,plain,
    ~ less_or_equal(n111,nn101),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_3077,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_3078,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1))),rdn(rdnn(n2),rdn(rdnn(n1),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_866,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_3079,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3080,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_3081,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1))),rdn(rdnn(n2),rdn(rdnn(n0),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_567,i_0_866,i_0_3079,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_3082,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3083,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_3084,plain,
    n121 != nn112,
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_567,i_0_866,i_0_3079,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_3085,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_3086,plain,
    ~ less(n121,nn112),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_567,i_0_866,i_0_3079,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_3087,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_3088,plain,
    less_or_equal(nn112,n121),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_567,i_0_866,i_0_3079,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_3089,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_3090,plain,
    ~ sum(n112,n121,n0),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_567,i_0_866,i_0_3079,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_3091,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_3092,plain,
    ( X1 != rdnn(n5)
    | ~ rdn_positive_less(X1,rdnn(n0)) ),
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_2151,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_567,i_0_866,i_0_3079,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_857]) ).

cnf(i_0_3093,plain,
    nn112 != n121,
    inference(scs_inference,[],[i_0_1096,i_0_3037,i_0_2151,i_0_3051,i_0_576,i_0_585,i_0_557,i_0_567,i_0_866,i_0_3079,i_0_539,i_0_3053,i_0_522,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_857,i_0_853]) ).

cnf(i_0_3094,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3095,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3096,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_3098,plain,
    ~ rdn_positive_less(rdnn(n5),rdnn(n0)),
    inference(equality_inference,[],[3092]) ).

cnf(i_0_3099,plain,
    difference(n0,n112,nn112),
    inference(scs_inference,[],[i_0_3070,i_0_602]) ).

cnf(i_0_3100,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_3101,plain,
    ~ sum(n112,nn112,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_602,i_0_601]) ).

cnf(i_0_3102,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_3103,plain,
    sum(n122,nn122,n0),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_575,i_0_547,i_0_602,i_0_601,i_0_606]) ).

cnf(i_0_3104,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_3105,plain,
    rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_575,i_0_547,i_0_540,i_0_602,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_3106,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_3107,plain,
    less(nn122,n102),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_595,i_0_575,i_0_547,i_0_540,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_3108,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_3109,plain,
    ~ less_or_equal(n121,nn112),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_3110,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_3111,plain,
    ~ rdn_positive_less(rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1))),rdn(rdnn(n2),rdn(rdnn(n2),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_866,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_3112,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3113,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_3114,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1))),rdn(rdnn(n3),rdn(rdnn(n1),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_3115,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3116,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_3117,plain,
    sum(n0,n0,n0),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440]) ).

cnf(i_0_3118,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_translate(X5,rdn_pos(X6))
    | ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
    | sum(X3,X5,X1) ),
    inference(rename_variables,[],[i_0_440]) ).

cnf(i_0_3119,plain,
    n0 != n10,
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103]) ).

cnf(i_0_3120,plain,
    n102 != nn122,
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800]) ).

cnf(i_0_3121,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_3122,plain,
    ~ less(n102,nn122),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795]) ).

cnf(i_0_3123,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_3124,plain,
    less_or_equal(nn122,n102),
    inference(scs_inference,[],[i_0_1096,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_3125,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_3126,plain,
    ~ sum(n0,nn10,n0),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599]) ).

cnf(i_0_3127,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X1
    | ~ sum(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_599]) ).

cnf(i_0_3128,plain,
    ( less(n10,n0)
    | less(n0,n10) ),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798]) ).

cnf(i_0_3129,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_798]) ).

cnf(i_0_3130,plain,
    ~ sum(n122,n102,n0),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600]) ).

cnf(i_0_3131,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_3132,plain,
    n10 != n0,
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_852]) ).

cnf(i_0_3133,plain,
    nn122 != n102,
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_3070,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_852,i_0_853]) ).

cnf(i_0_3134,plain,
    ( X1 != rdnn(n6)
    | ~ rdn_positive_less(X1,rdnn(n0)) ),
    inference(scs_inference,[],[i_0_1096,i_0_1068,i_0_3070,i_0_2194,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_852,i_0_853,i_0_857]) ).

cnf(i_0_3135,plain,
    ( X1 != n0
    | ~ sum(n20,n21,X1) ),
    inference(scs_inference,[],[i_0_1096,i_0_2855,i_0_1068,i_0_3070,i_0_2194,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_852,i_0_853,i_0_857,i_0_854]) ).

cnf(i_0_3136,plain,
    ( X1 != rdnn(n3)
    | ~ rdn_positive_less(rdnn(n9),X1) ),
    inference(scs_inference,[],[i_0_1096,i_0_2855,i_0_1068,i_0_3070,i_0_2194,i_0_1117,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_852,i_0_853,i_0_857,i_0_854,i_0_858]) ).

cnf(i_0_3137,plain,
    ( X1 != n121
    | ~ less(X1,nn112) ),
    inference(scs_inference,[],[i_0_1096,i_0_2855,i_0_1068,i_0_3070,i_0_2194,i_0_1117,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_852,i_0_853,i_0_857,i_0_854,i_0_858,i_0_864]) ).

cnf(i_0_3138,plain,
    ( X1 != nn112
    | ~ less(n121,X1) ),
    inference(scs_inference,[],[i_0_1096,i_0_2855,i_0_1068,i_0_3070,i_0_2194,i_0_1117,i_0_3084,i_0_595,i_0_575,i_0_547,i_0_556,i_0_819,i_0_866,i_0_3112,i_0_540,i_0_3086,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_440,i_0_1103,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_852,i_0_853,i_0_857,i_0_854,i_0_858,i_0_864,i_0_865]) ).

cnf(i_0_3139,plain,
    ~ rdn_positive_less(rdnn(n6),rdnn(n0)),
    inference(equality_inference,[],[3134]) ).

cnf(i_0_3140,plain,
    ~ sum(n20,n21,n0),
    inference(equality_inference,[],[3135]) ).

cnf(i_0_3141,plain,
    ~ rdn_positive_less(rdnn(n9),rdnn(n3)),
    inference(equality_inference,[],[3136]) ).

cnf(i_0_3142,plain,
    ~ less(n121,nn112),
    inference(equality_inference,[],[3137]) ).

cnf(i_0_3143,plain,
    ~ less(n121,nn112),
    inference(equality_inference,[],[3138]) ).

cnf(i_0_3144,plain,
    difference(n0,n122,nn122),
    inference(scs_inference,[],[i_0_3103,i_0_602]) ).

cnf(i_0_3145,plain,
    ( ~ sum(X1,X2,X3)
    | difference(X3,X1,X2) ),
    inference(rename_variables,[],[i_0_602]) ).

cnf(i_0_3146,plain,
    ~ sum(nn10,n0,n0),
    inference(scs_inference,[],[i_0_1096,i_0_3103,i_0_3117,i_0_602,i_0_599]) ).

cnf(i_0_3147,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X1
    | ~ sum(X4,X2,X3) ),
    inference(rename_variables,[],[i_0_599]) ).

cnf(i_0_3148,plain,
    ~ sum(n20,nn20,nn10),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_602,i_0_599,i_0_601]) ).

cnf(i_0_3149,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X3
    | ~ sum(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_601]) ).

cnf(i_0_3150,plain,
    sum(n103,nn103,n0),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_594,i_0_566,i_0_602,i_0_599,i_0_601,i_0_606]) ).

cnf(i_0_3151,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X2))
    | sum(X3,X1,n0) ),
    inference(rename_variables,[],[i_0_606]) ).

cnf(i_0_3152,plain,
    rdn_add_with_carry(rdnn(n4),rdnn(n3),rdnn(n2),rdnn(n9)),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_594,i_0_566,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435]) ).

cnf(i_0_3153,plain,
    ( ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
    | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0))
    | rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5)) ),
    inference(rename_variables,[],[i_0_435]) ).

cnf(i_0_3154,plain,
    less(nn103,n113),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_584,i_0_594,i_0_566,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792]) ).

cnf(i_0_3155,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_3156,plain,
    ~ less_or_equal(n102,nn122),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).

cnf(i_0_3157,plain,
    ( X1 = X2
    | ~ less_or_equal(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_796]) ).

cnf(i_0_3158,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1))),rdn(rdnn(n3),rdn(rdnn(n0),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_866,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609]) ).

cnf(i_0_3159,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3160,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_positive_less(X2,X4)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_609]) ).

cnf(i_0_3161,plain,
    ~ rdn_positive_less(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))),rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1)))),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_546,i_0_866,i_0_3159,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610]) ).

cnf(i_0_3162,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_866]) ).

cnf(i_0_3163,plain,
    ( ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_translate(X3,rdn_neg(X4))
    | ~ rdn_positive_less(X4,X2)
    | less(X1,X3) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_3164,plain,
    n113 != nn103,
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_546,i_0_866,i_0_3159,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800]) ).

cnf(i_0_3165,plain,
    ( ~ less(X1,X2)
    | X2 != X1 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_3166,plain,
    ~ less(n113,nn103),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_546,i_0_866,i_0_3159,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795]) ).

cnf(i_0_3167,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_3168,plain,
    less_or_equal(nn103,n113),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_546,i_0_866,i_0_3159,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).

cnf(i_0_3169,plain,
    ( ~ less(X1,X2)
    | less_or_equal(X1,X2) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_3170,plain,
    ~ sum(n103,n113,n0),
    inference(scs_inference,[],[i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_546,i_0_866,i_0_3159,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).

cnf(i_0_3171,plain,
    ( ~ sum(X1,X2,X3)
    | X4 = X2
    | ~ sum(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_3172,plain,
    ( X1 != n60
    | ~ sum(X1,n61,n0) ),
    inference(scs_inference,[],[i_0_1997,i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_546,i_0_866,i_0_3159,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_852]) ).

cnf(i_0_3173,plain,
    nn103 != n113,
    inference(scs_inference,[],[i_0_1997,i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_546,i_0_866,i_0_3159,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_852,i_0_853]) ).

cnf(i_0_3174,plain,
    ( nn60 != n60
    | ~ sum(n61,nn60,n0) ),
    inference(scs_inference,[],[i_0_1997,i_0_1096,i_0_2833,i_0_3103,i_0_3117,i_0_3120,i_0_584,i_0_594,i_0_566,i_0_546,i_0_866,i_0_3159,i_0_3122,i_0_508,i_0_486,i_0_602,i_0_599,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_852,i_0_853,i_0_2006]) ).

cnf(i_0_3175,plain,
    ( sum(nn60,n61,X1)
    | ~ sum(n61,nn60,X1) ),
    inference(rename_variables,[],[i_0_2006]) ).

cnf(i_0_3177,plain,
    ~ sum(n60,n61,n0),
    inference(equality_inference,[],[3172]) ).

cnf(i_0_3178,plain,
    $false,
    inference(scs_inference,[],[i_0_791,i_0_3117,i_0_602]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM340+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n003.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 00:27:11 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 37.17/20.66  % Version  : CSE_E---1.7
% 37.17/20.66  % Problem  : theBenchmark.p
% 37.17/20.66  % SZS status Theorem for theBenchmark.p
% 37.17/20.66  % SZS output start CNFRefutation
% See solution above
% 46.21/26.95  % Total time : 20.319s
%------------------------------------------------------------------------------