%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM327+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 : n028.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 04:53:10 PM UTC 2026
% Result : Theorem 29.22s 15.65s
% Output : CNFRefutation 38.34s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 800)
% Comments :
%------------------------------------------------------------------------------
fof(sum_zero_identity,conjecture,
? [X1] : sum(X1,n0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_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] : sum(X1,n0,X1),
inference(assume_negation,[status(cth)],[sum_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] : ~ sum(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,
~ sum(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_801,i_0_810,i_0_866,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_801,i_0_810,i_0_866,i_0_875,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_801,i_0_810,i_0_866,i_0_875,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_801,i_0_810,i_0_866,i_0_875,i_0_877,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_801,i_0_802,i_0_810,i_0_866,i_0_875,i_0_877,i_0_881,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,
~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(scs_inference,[],[i_0_791,i_0_801,i_0_802,i_0_810,i_0_819,i_0_866,i_0_875,i_0_877,i_0_881,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_440]) ).
cnf(i_0_887,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_888,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_889,plain,
difference(n0,n9,nn9),
inference(scs_inference,[],[i_0_791,i_0_801,i_0_802,i_0_810,i_0_819,i_0_866,i_0_875,i_0_877,i_0_881,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_440,i_0_602]) ).
cnf(i_0_890,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_891,plain,
~ less(n9,nn9),
inference(scs_inference,[],[i_0_791,i_0_801,i_0_802,i_0_810,i_0_819,i_0_866,i_0_875,i_0_877,i_0_881,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_440,i_0_602,i_0_795]) ).
cnf(i_0_892,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_893,plain,
less_or_equal(nn9,n9),
inference(scs_inference,[],[i_0_791,i_0_801,i_0_802,i_0_810,i_0_819,i_0_866,i_0_875,i_0_877,i_0_881,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_440,i_0_602,i_0_795,i_0_797]) ).
cnf(i_0_894,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_895,plain,
~ sum(nn9,nn9,n0),
inference(scs_inference,[],[i_0_791,i_0_801,i_0_802,i_0_810,i_0_819,i_0_866,i_0_875,i_0_877,i_0_881,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_440,i_0_602,i_0_795,i_0_797,i_0_599]) ).
cnf(i_0_896,plain,
( ~ sum(X1,X2,X3)
| X4 = X1
| ~ sum(X4,X2,X3) ),
inference(rename_variables,[],[i_0_599]) ).
cnf(i_0_897,plain,
( X1 != X2
| ~ sum(X1,n0,X2) ),
inference(scs_inference,[],[i_0_791,i_0_887,i_0_801,i_0_802,i_0_810,i_0_819,i_0_866,i_0_875,i_0_877,i_0_881,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_440,i_0_602,i_0_795,i_0_797,i_0_599,i_0_852]) ).
cnf(i_0_898,plain,
~ sum(n9,n9,n0),
inference(scs_inference,[],[i_0_791,i_0_887,i_0_801,i_0_802,i_0_810,i_0_819,i_0_866,i_0_875,i_0_877,i_0_881,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_440,i_0_602,i_0_795,i_0_797,i_0_599,i_0_852,i_0_600]) ).
cnf(i_0_899,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_900,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_901,plain,
less_or_equal(X1,X1),
inference(rename_variables,[],[i_0_867]) ).
cnf(i_0_902,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_904,plain,
~ sum(X1,n0,X1),
inference(equality_inference,[],[897]) ).
cnf(i_0_905,plain,
difference(n0,nn9,n9),
inference(scs_inference,[],[i_0_878,i_0_602]) ).
cnf(i_0_906,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_907,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n8)),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_880,i_0_602,i_0_608]) ).
cnf(i_0_908,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_909,plain,
rdnn(n8) != rdnn(n9),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_880,i_0_602,i_0_608,i_0_857]) ).
cnf(i_0_910,plain,
rdnn(n9) != rdnn(n8),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_880,i_0_883,i_0_602,i_0_608,i_0_857,i_0_858]) ).
cnf(i_0_911,plain,
sum(n7,nn7,n0),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_812,i_0_880,i_0_883,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606]) ).
cnf(i_0_912,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_913,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n8),rdnn(n1),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_812,i_0_880,i_0_883,i_0_459,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435]) ).
cnf(i_0_914,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_915,plain,
~ less_or_equal(n9,nn9),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_812,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796]) ).
cnf(i_0_916,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_917,plain,
less(nn7,n8),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_811,i_0_812,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792]) ).
cnf(i_0_918,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_919,plain,
~ rdn_positive_less(rdnn(n7),rdnn(n7)),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_811,i_0_812,i_0_866,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609]) ).
cnf(i_0_920,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_921,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_922,plain,
~ rdn_positive_less(rdnn(n6),rdnn(n6)),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_920,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609,i_0_610]) ).
cnf(i_0_923,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_924,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_925,plain,
n8 != nn7,
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_920,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609,i_0_610,i_0_800]) ).
cnf(i_0_926,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_927,plain,
~ less(n8,nn7),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_920,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609,i_0_610,i_0_800,i_0_795]) ).
cnf(i_0_928,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_929,plain,
less_or_equal(nn7,n8),
inference(scs_inference,[],[i_0_878,i_0_820,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_920,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_930,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_931,plain,
( X1 != rdnn(n0)
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),X1) ),
inference(scs_inference,[],[i_0_886,i_0_878,i_0_820,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_920,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_845]) ).
cnf(i_0_932,plain,
~ sum(n7,n8,n0),
inference(scs_inference,[],[i_0_886,i_0_878,i_0_820,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_920,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_845,i_0_600]) ).
cnf(i_0_933,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_934,plain,
nn7 != n8,
inference(scs_inference,[],[i_0_886,i_0_878,i_0_820,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_920,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_845,i_0_600,i_0_853]) ).
cnf(i_0_935,plain,
rdnn(n9) != rdnn(n0),
inference(scs_inference,[],[i_0_886,i_0_878,i_0_870,i_0_820,i_0_803,i_0_804,i_0_811,i_0_812,i_0_866,i_0_920,i_0_876,i_0_880,i_0_883,i_0_459,i_0_891,i_0_450,i_0_602,i_0_608,i_0_857,i_0_858,i_0_606,i_0_435,i_0_796,i_0_792,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_845,i_0_600,i_0_853,i_0_843]) ).
cnf(i_0_936,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_938,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(equality_inference,[],[931]) ).
cnf(i_0_939,plain,
difference(n0,n7,nn7),
inference(scs_inference,[],[i_0_911,i_0_602]) ).
cnf(i_0_940,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_941,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n7)),
inference(scs_inference,[],[i_0_911,i_0_907,i_0_821,i_0_602,i_0_608]) ).
cnf(i_0_942,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_943,plain,
sum(n5,nn5,n0),
inference(scs_inference,[],[i_0_911,i_0_907,i_0_821,i_0_805,i_0_814,i_0_602,i_0_608,i_0_606]) ).
cnf(i_0_944,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_945,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n8),rdnn(n0),rdnn(n8)),
inference(scs_inference,[],[i_0_911,i_0_907,i_0_821,i_0_805,i_0_814,i_0_460,i_0_602,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_946,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_947,plain,
less(nn5,n0),
inference(scs_inference,[],[i_0_911,i_0_819,i_0_907,i_0_821,i_0_805,i_0_814,i_0_460,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_948,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_949,plain,
~ less_or_equal(n8,nn7),
inference(scs_inference,[],[i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_950,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_951,plain,
rdnn(n7) != rdnn(n9),
inference(scs_inference,[],[i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_952,plain,
rdnn(n8) != rdnn(n7),
inference(scs_inference,[],[i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_953,plain,
~ sum(n0,nn5,nn5),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_954,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_955,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_956,plain,
~ rdn_positive_less(rdnn(n0),rdnn(n0)),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609]) ).
cnf(i_0_957,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_958,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_959,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n5)),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610]) ).
cnf(i_0_960,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_961,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_962,plain,
n0 != nn5,
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800]) ).
cnf(i_0_963,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_964,plain,
~ less(n0,nn5),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795]) ).
cnf(i_0_965,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_966,plain,
less_or_equal(nn5,n0),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_967,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_968,plain,
~ sum(n5,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_969,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_970,plain,
( less(rdnn(n0),rdnn(n9))
| less(rdnn(n9),rdnn(n0)) ),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_935,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_971,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_972,plain,
nn5 != n0,
inference(scs_inference,[],[i_0_791,i_0_911,i_0_819,i_0_935,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_973,plain,
~ sum(n9,nn9,nn5),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_911,i_0_819,i_0_935,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_974,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_975,plain,
( X1 != rdnn(n0)
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n0),X1,rdnn(n0)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_911,i_0_886,i_0_819,i_0_935,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_844]) ).
cnf(i_0_976,plain,
( rdn_non_zero_digit(X1)
| rdnn(n8) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_911,i_0_886,i_0_819,i_0_935,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_831,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_844,i_0_846]) ).
cnf(i_0_977,plain,
( X1 != n8
| ~ less(X1,nn7) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_911,i_0_886,i_0_819,i_0_935,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_831,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_844,i_0_846,i_0_864]) ).
cnf(i_0_978,plain,
( X1 != nn7
| ~ less(n8,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_911,i_0_886,i_0_819,i_0_935,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_831,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_844,i_0_846,i_0_864,i_0_865]) ).
cnf(i_0_979,plain,
( X1 != X2
| ~ sum(X2,n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_954,i_0_868,i_0_911,i_0_886,i_0_819,i_0_935,i_0_907,i_0_925,i_0_821,i_0_805,i_0_814,i_0_866,i_0_957,i_0_919,i_0_460,i_0_927,i_0_831,i_0_602,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_844,i_0_846,i_0_864,i_0_865,i_0_854]) ).
cnf(i_0_980,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(equality_inference,[],[975]) ).
cnf(i_0_981,plain,
rdn_non_zero_digit(rdnn(n8)),
inference(equality_inference,[],[976]) ).
cnf(i_0_982,plain,
~ less(n8,nn7),
inference(equality_inference,[],[977]) ).
cnf(i_0_983,plain,
~ less(n8,nn7),
inference(equality_inference,[],[978]) ).
cnf(i_0_984,plain,
~ sum(X1,n0,X1),
inference(equality_inference,[],[979]) ).
cnf(i_0_985,plain,
difference(n0,n5,nn5),
inference(scs_inference,[],[i_0_943,i_0_602]) ).
cnf(i_0_986,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_987,plain,
~ sum(nn9,n9,nn5),
inference(scs_inference,[],[i_0_878,i_0_943,i_0_972,i_0_602,i_0_601]) ).
cnf(i_0_988,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_989,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n6)),
inference(scs_inference,[],[i_0_878,i_0_943,i_0_972,i_0_941,i_0_822,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_990,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_991,plain,
sum(n4,nn4,n0),
inference(scs_inference,[],[i_0_878,i_0_943,i_0_972,i_0_941,i_0_822,i_0_806,i_0_815,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_992,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_993,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n7),rdnn(n2),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_943,i_0_972,i_0_941,i_0_822,i_0_806,i_0_815,i_0_468,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_994,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_995,plain,
less(nn4,n0),
inference(scs_inference,[],[i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_822,i_0_806,i_0_815,i_0_468,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_996,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_997,plain,
~ less_or_equal(n0,nn5),
inference(scs_inference,[],[i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_815,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_998,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_999,plain,
rdnn(n6) != rdnn(n9),
inference(scs_inference,[],[i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_815,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1000,plain,
rdnn(n7) != rdnn(n6),
inference(scs_inference,[],[i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_815,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1001,plain,
~ sum(n0,nn4,nn4),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_815,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1002,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1003,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_1004,plain,
~ rdn_positive_less(rdnn(n4),rdnn(n4)),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_815,i_0_866,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609]) ).
cnf(i_0_1005,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1006,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_1007,plain,
~ rdn_positive_less(rdnn(n3),rdnn(n3)),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610]) ).
cnf(i_0_1008,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1009,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_1010,plain,
n0 != nn4,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800]) ).
cnf(i_0_1011,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1012,plain,
~ less(n0,nn4),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795]) ).
cnf(i_0_1013,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1014,plain,
less_or_equal(nn4,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1015,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1016,plain,
( less(rdnn(n9),rdnn(n8))
| less(rdnn(n8),rdnn(n9)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_909,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798]) ).
cnf(i_0_1017,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1018,plain,
~ sum(n4,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_909,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_798,i_0_600]) ).
cnf(i_0_1019,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1020,plain,
nn4 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_943,i_0_972,i_0_819,i_0_909,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_1021,plain,
( X1 != rdnn(n0)
| ~ rdn_add_with_carry(X1,rdnn(n0),rdnn(n0),rdnn(n0)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_886,i_0_943,i_0_972,i_0_819,i_0_909,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_842]) ).
cnf(i_0_1022,plain,
( X1 != rdnn(n0)
| ~ rdn_add_with_carry(rdnn(n0),X1,rdnn(n0),rdnn(n0)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_886,i_0_943,i_0_972,i_0_819,i_0_909,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_842,i_0_843]) ).
cnf(i_0_1023,plain,
( rdn_non_zero_digit(X1)
| rdnn(n7) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_886,i_0_943,i_0_972,i_0_819,i_0_909,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_832,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_842,i_0_843,i_0_846]) ).
cnf(i_0_1024,plain,
( X1 != n0
| ~ sum(X1,nn5,nn5) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_886,i_0_943,i_0_953,i_0_972,i_0_819,i_0_909,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_832,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_842,i_0_843,i_0_846,i_0_852]) ).
cnf(i_0_1025,plain,
( X1 != n0
| ~ less(X1,nn5) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_886,i_0_943,i_0_953,i_0_972,i_0_819,i_0_909,i_0_941,i_0_962,i_0_822,i_0_806,i_0_807,i_0_815,i_0_866,i_0_1005,i_0_922,i_0_468,i_0_964,i_0_832,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_842,i_0_843,i_0_846,i_0_852,i_0_864]) ).
cnf(i_0_1026,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(equality_inference,[],[1021]) ).
cnf(i_0_1027,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(equality_inference,[],[1022]) ).
cnf(i_0_1028,plain,
rdn_non_zero_digit(rdnn(n7)),
inference(equality_inference,[],[1023]) ).
cnf(i_0_1029,plain,
~ sum(n0,nn5,nn5),
inference(equality_inference,[],[1024]) ).
cnf(i_0_1030,plain,
~ less(n0,nn5),
inference(equality_inference,[],[1025]) ).
cnf(i_0_1031,plain,
difference(n0,n4,nn4),
inference(scs_inference,[],[i_0_991,i_0_602]) ).
cnf(i_0_1032,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1033,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n5)),
inference(scs_inference,[],[i_0_991,i_0_989,i_0_823,i_0_602,i_0_608]) ).
cnf(i_0_1034,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_1035,plain,
~ sum(n9,nn9,nn4),
inference(scs_inference,[],[i_0_868,i_0_991,i_0_1020,i_0_989,i_0_823,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1036,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1037,plain,
sum(n2,nn2,n0),
inference(scs_inference,[],[i_0_868,i_0_991,i_0_1020,i_0_989,i_0_823,i_0_808,i_0_817,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1038,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_1039,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n7),rdnn(n1),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_991,i_0_1020,i_0_989,i_0_823,i_0_808,i_0_817,i_0_469,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1040,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_1041,plain,
less(nn2,n0),
inference(scs_inference,[],[i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_823,i_0_808,i_0_817,i_0_469,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1042,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_1043,plain,
~ less_or_equal(n0,nn4),
inference(scs_inference,[],[i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_808,i_0_817,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1044,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1045,plain,
rdnn(n5) != rdnn(n9),
inference(scs_inference,[],[i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_808,i_0_817,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1046,plain,
rdnn(n1) != rdnn(n0),
inference(scs_inference,[],[i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_817,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1047,plain,
~ sum(n0,nn2,nn2),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_817,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1048,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1049,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_1050,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n2)),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_817,i_0_866,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609]) ).
cnf(i_0_1051,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1052,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_1053,plain,
~ rdn_positive_less(rdnn(n1),rdnn(n1)),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610]) ).
cnf(i_0_1054,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1055,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_1056,plain,
n0 != nn2,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800]) ).
cnf(i_0_1057,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1058,plain,
~ less(n0,nn2),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795]) ).
cnf(i_0_1059,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1060,plain,
less_or_equal(nn2,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1061,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1062,plain,
~ sum(n2,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1063,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1064,plain,
( less(rdnn(n9),rdnn(n7))
| less(rdnn(n7),rdnn(n9)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_951,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1065,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1066,plain,
nn2 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_951,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_1067,plain,
( X1 != nn4
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_951,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_865]) ).
cnf(i_0_1068,plain,
( rdn_non_zero_digit(X1)
| rdnn(n6) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1020,i_0_819,i_0_951,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_833,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_865,i_0_846]) ).
cnf(i_0_1069,plain,
( X1 != nn4
| ~ sum(n0,nn4,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1001,i_0_1020,i_0_819,i_0_951,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_833,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_865,i_0_846,i_0_854]) ).
cnf(i_0_1070,plain,
( X1 != n0
| ~ sum(X1,nn4,nn4) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1001,i_0_1020,i_0_819,i_0_951,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_833,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_865,i_0_846,i_0_854,i_0_852]) ).
cnf(i_0_1071,plain,
( X1 != n0
| ~ less(X1,nn4) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_991,i_0_1001,i_0_1020,i_0_819,i_0_951,i_0_989,i_0_1010,i_0_823,i_0_828,i_0_808,i_0_809,i_0_817,i_0_866,i_0_1051,i_0_956,i_0_469,i_0_1012,i_0_833,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,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_865,i_0_846,i_0_854,i_0_852,i_0_864]) ).
cnf(i_0_1072,plain,
~ less(n0,nn4),
inference(equality_inference,[],[1067]) ).
cnf(i_0_1073,plain,
rdn_non_zero_digit(rdnn(n6)),
inference(equality_inference,[],[1068]) ).
cnf(i_0_1074,plain,
~ sum(n0,nn4,nn4),
inference(equality_inference,[],[1069]) ).
cnf(i_0_1075,plain,
~ sum(n0,nn4,nn4),
inference(equality_inference,[],[1070]) ).
cnf(i_0_1076,plain,
~ less(n0,nn4),
inference(equality_inference,[],[1071]) ).
cnf(i_0_1077,plain,
difference(n0,n2,nn2),
inference(scs_inference,[],[i_0_1037,i_0_602]) ).
cnf(i_0_1078,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1079,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n4)),
inference(scs_inference,[],[i_0_1037,i_0_1033,i_0_824,i_0_602,i_0_608]) ).
cnf(i_0_1080,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_1081,plain,
~ sum(n9,nn9,nn2),
inference(scs_inference,[],[i_0_868,i_0_1037,i_0_1066,i_0_1033,i_0_824,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1082,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1083,plain,
sum(n11,nn11,n0),
inference(scs_inference,[],[i_0_868,i_0_1037,i_0_1066,i_0_1033,i_0_824,i_0_699,i_0_789,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1084,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_1085,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n7),rdnn(n0),rdnn(n7)),
inference(scs_inference,[],[i_0_868,i_0_1037,i_0_1066,i_0_1033,i_0_824,i_0_699,i_0_789,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1086,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_1087,plain,
less(nn11,n0),
inference(scs_inference,[],[i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_824,i_0_699,i_0_789,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1088,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_1089,plain,
~ less_or_equal(n0,nn2),
inference(scs_inference,[],[i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1090,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1091,plain,
rdnn(n4) != rdnn(n9),
inference(scs_inference,[],[i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1092,plain,
rdnn(n5) != rdnn(n4),
inference(scs_inference,[],[i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1093,plain,
~ sum(n0,nn11,nn11),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1094,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1095,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_1096,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n1)),rdn(rdnn(n1),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_866,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1097,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1098,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_1099,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n1)),rdn(rdnn(n0),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1100,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1101,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_1102,plain,
n0 != nn11,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1103,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1104,plain,
~ less(n0,nn11),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1105,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1106,plain,
less_or_equal(nn11,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1107,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1108,plain,
~ sum(n11,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1109,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1110,plain,
( less(rdnn(n7),rdnn(n8))
| less(rdnn(n8),rdnn(n7)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_952,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1111,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1112,plain,
nn11 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_952,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1113,plain,
( X1 != nn2
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_952,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1114,plain,
( rdn_non_zero_digit(X1)
| rdnn(n5) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1066,i_0_819,i_0_952,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_834,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846]) ).
cnf(i_0_1115,plain,
( X1 != nn2
| ~ sum(n0,nn2,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1047,i_0_1066,i_0_819,i_0_952,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_834,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_854]) ).
cnf(i_0_1116,plain,
( X1 != n0
| ~ sum(X1,nn2,nn2) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1047,i_0_1066,i_0_819,i_0_952,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_834,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_854,i_0_852]) ).
cnf(i_0_1117,plain,
( X1 != n0
| ~ less(X1,nn2) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1037,i_0_1047,i_0_1066,i_0_819,i_0_952,i_0_1033,i_0_1056,i_0_824,i_0_699,i_0_789,i_0_790,i_0_866,i_0_1097,i_0_1004,i_0_470,i_0_1058,i_0_834,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_854,i_0_852,i_0_864]) ).
cnf(i_0_1118,plain,
~ less(n0,nn2),
inference(equality_inference,[],[1113]) ).
cnf(i_0_1119,plain,
rdn_non_zero_digit(rdnn(n5)),
inference(equality_inference,[],[1114]) ).
cnf(i_0_1120,plain,
~ sum(n0,nn2,nn2),
inference(equality_inference,[],[1115]) ).
cnf(i_0_1121,plain,
~ sum(n0,nn2,nn2),
inference(equality_inference,[],[1116]) ).
cnf(i_0_1122,plain,
~ less(n0,nn2),
inference(equality_inference,[],[1117]) ).
cnf(i_0_1123,plain,
difference(n0,n11,nn11),
inference(scs_inference,[],[i_0_1083,i_0_602]) ).
cnf(i_0_1124,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1125,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n3)),
inference(scs_inference,[],[i_0_1083,i_0_1079,i_0_825,i_0_602,i_0_608]) ).
cnf(i_0_1126,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_1127,plain,
~ sum(nn9,n9,nn11),
inference(scs_inference,[],[i_0_878,i_0_1083,i_0_1112,i_0_1079,i_0_825,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1128,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1129,plain,
sum(n10,nn10,n0),
inference(scs_inference,[],[i_0_878,i_0_1083,i_0_1112,i_0_1079,i_0_825,i_0_700,i_0_790,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1130,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_1131,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n6),rdnn(n3),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_1083,i_0_1112,i_0_1079,i_0_825,i_0_700,i_0_790,i_0_477,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1132,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_1133,plain,
less(nn10,n0),
inference(scs_inference,[],[i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_825,i_0_700,i_0_790,i_0_477,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1134,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_1135,plain,
~ less_or_equal(n0,nn11),
inference(scs_inference,[],[i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_700,i_0_790,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1136,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1137,plain,
rdnn(n3) != rdnn(n9),
inference(scs_inference,[],[i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_700,i_0_790,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1138,plain,
rdnn(n2) != rdnn(n1),
inference(scs_inference,[],[i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_790,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1139,plain,
~ sum(n0,nn10,nn10),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_790,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1140,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1141,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_1142,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n2),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_790,i_0_866,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1143,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1144,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_1145,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n9)),rdn(rdnn(n9),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1146,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1147,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_1148,plain,
n0 != nn10,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1149,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1150,plain,
~ less(n0,nn10),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1151,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1152,plain,
less_or_equal(nn10,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1153,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1154,plain,
~ sum(n10,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1155,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1156,plain,
( less(rdnn(n9),rdnn(n6))
| less(rdnn(n6),rdnn(n9)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_999,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1157,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1158,plain,
nn10 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_999,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1159,plain,
( X1 != nn11
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_999,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1160,plain,
( rdn_non_zero_digit(X1)
| rdnn(n4) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1112,i_0_819,i_0_999,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_835,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846]) ).
cnf(i_0_1161,plain,
( X1 != nn11
| ~ sum(n0,nn11,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1093,i_0_1112,i_0_819,i_0_999,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_835,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_854]) ).
cnf(i_0_1162,plain,
( X1 != n0
| ~ less(X1,nn11) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1093,i_0_1112,i_0_819,i_0_999,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_835,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_854,i_0_864]) ).
cnf(i_0_1163,plain,
( X1 != n0
| ~ sum(X1,nn11,nn11) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1083,i_0_1093,i_0_1112,i_0_819,i_0_999,i_0_1079,i_0_1102,i_0_825,i_0_827,i_0_700,i_0_698,i_0_701,i_0_790,i_0_866,i_0_1143,i_0_1053,i_0_477,i_0_1104,i_0_835,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_854,i_0_864,i_0_852]) ).
cnf(i_0_1164,plain,
~ less(n0,nn11),
inference(equality_inference,[],[1159]) ).
cnf(i_0_1165,plain,
rdn_non_zero_digit(rdnn(n4)),
inference(equality_inference,[],[1160]) ).
cnf(i_0_1166,plain,
~ sum(n0,nn11,nn11),
inference(equality_inference,[],[1161]) ).
cnf(i_0_1167,plain,
~ less(n0,nn11),
inference(equality_inference,[],[1162]) ).
cnf(i_0_1168,plain,
~ sum(n0,nn11,nn11),
inference(equality_inference,[],[1163]) ).
cnf(i_0_1169,plain,
difference(n0,n10,nn10),
inference(scs_inference,[],[i_0_1129,i_0_602]) ).
cnf(i_0_1170,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1171,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n2)),
inference(scs_inference,[],[i_0_1129,i_0_1125,i_0_826,i_0_602,i_0_608]) ).
cnf(i_0_1172,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_1173,plain,
~ sum(n9,nn9,nn10),
inference(scs_inference,[],[i_0_868,i_0_1129,i_0_1158,i_0_1125,i_0_826,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1174,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1175,plain,
sum(n99,nn99,n0),
inference(scs_inference,[],[i_0_868,i_0_1129,i_0_1158,i_0_1125,i_0_826,i_0_611,i_0_701,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1176,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_1177,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n6),rdnn(n2),rdnn(n8)),
inference(scs_inference,[],[i_0_868,i_0_1129,i_0_1158,i_0_1125,i_0_826,i_0_611,i_0_701,i_0_478,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1178,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_1179,plain,
less(nn99,n0),
inference(scs_inference,[],[i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_826,i_0_611,i_0_701,i_0_478,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1180,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_1181,plain,
~ less_or_equal(n0,nn10),
inference(scs_inference,[],[i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_611,i_0_701,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1182,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1183,plain,
rdnn(n2) != rdnn(n9),
inference(scs_inference,[],[i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_611,i_0_701,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1184,plain,
rdnn(n4) != rdnn(n3),
inference(scs_inference,[],[i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_611,i_0_701,i_0_825,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1185,plain,
~ sum(n0,nn99,nn99),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_611,i_0_701,i_0_825,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1186,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1187,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_1188,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n9)),rdn(rdnn(n8),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1189,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1190,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_1191,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n9)),rdn(rdnn(n7),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1192,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1193,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_1194,plain,
n0 != nn99,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1195,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1196,plain,
~ less(n0,nn99),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1197,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1198,plain,
less_or_equal(nn99,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1199,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1200,plain,
~ sum(n99,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1201,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1202,plain,
( less(rdnn(n6),rdnn(n7))
| less(rdnn(n7),rdnn(n6)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1000,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1203,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1204,plain,
nn99 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1000,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1205,plain,
( X1 != nn10
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1000,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1206,plain,
( rdn_non_zero_digit(X1)
| rdnn(n3) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1000,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_836,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846]) ).
cnf(i_0_1207,plain,
( X1 != n0
| ~ less(X1,nn10) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1158,i_0_819,i_0_1000,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_836,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864]) ).
cnf(i_0_1208,plain,
( X1 != n0
| ~ sum(X1,nn10,nn10) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1139,i_0_1158,i_0_819,i_0_1000,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_836,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864,i_0_852]) ).
cnf(i_0_1209,plain,
( X1 != nn10
| ~ sum(n0,nn10,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1129,i_0_1139,i_0_1158,i_0_819,i_0_1000,i_0_1125,i_0_1148,i_0_826,i_0_703,i_0_611,i_0_612,i_0_701,i_0_825,i_0_866,i_0_1189,i_0_1007,i_0_478,i_0_1150,i_0_836,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1210,plain,
~ less(n0,nn10),
inference(equality_inference,[],[1205]) ).
cnf(i_0_1211,plain,
rdn_non_zero_digit(rdnn(n3)),
inference(equality_inference,[],[1206]) ).
cnf(i_0_1212,plain,
~ less(n0,nn10),
inference(equality_inference,[],[1207]) ).
cnf(i_0_1213,plain,
~ sum(n0,nn10,nn10),
inference(equality_inference,[],[1208]) ).
cnf(i_0_1214,plain,
~ sum(n0,nn10,nn10),
inference(equality_inference,[],[1209]) ).
cnf(i_0_1215,plain,
difference(n0,n99,nn99),
inference(scs_inference,[],[i_0_1175,i_0_602]) ).
cnf(i_0_1216,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1217,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n1)),
inference(scs_inference,[],[i_0_1175,i_0_1171,i_0_827,i_0_602,i_0_608]) ).
cnf(i_0_1218,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_1219,plain,
~ sum(nn9,n9,nn99),
inference(scs_inference,[],[i_0_878,i_0_1175,i_0_1204,i_0_1171,i_0_827,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1220,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1221,plain,
sum(n97,nn97,n0),
inference(scs_inference,[],[i_0_878,i_0_1175,i_0_1204,i_0_1171,i_0_613,i_0_827,i_0_703,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1222,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_1223,plain,
rdn_add_with_carry(rdnn(n2),rdnn(n6),rdnn(n1),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_1175,i_0_1204,i_0_1171,i_0_613,i_0_827,i_0_703,i_0_479,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1224,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_1225,plain,
less(nn97,n0),
inference(scs_inference,[],[i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_613,i_0_827,i_0_703,i_0_479,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1226,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_1227,plain,
~ less_or_equal(n0,nn99),
inference(scs_inference,[],[i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_613,i_0_827,i_0_703,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1228,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1229,plain,
rdnn(n1) != rdnn(n9),
inference(scs_inference,[],[i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_613,i_0_827,i_0_703,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1230,plain,
rdnn(n3) != rdnn(n2),
inference(scs_inference,[],[i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_613,i_0_827,i_0_703,i_0_826,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1231,plain,
~ sum(n0,nn97,nn97),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_613,i_0_827,i_0_703,i_0_826,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1232,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1233,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_1234,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n9)),rdn(rdnn(n6),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1235,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1236,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_1237,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n9)),rdn(rdnn(n5),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1238,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1239,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_1240,plain,
n0 != nn97,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1241,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1242,plain,
~ less(n0,nn97),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1243,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1244,plain,
less_or_equal(nn97,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1245,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1246,plain,
~ sum(n97,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1247,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1248,plain,
( less(rdnn(n9),rdnn(n5))
| less(rdnn(n5),rdnn(n9)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1045,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1249,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1250,plain,
nn97 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1045,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1251,plain,
( X1 != nn99
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1045,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1252,plain,
( rdn_non_zero_digit(X1)
| rdnn(n2) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1045,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_837,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846]) ).
cnf(i_0_1253,plain,
( X1 != n0
| ~ less(X1,nn99) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1204,i_0_819,i_0_1045,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_837,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864]) ).
cnf(i_0_1254,plain,
( X1 != n0
| ~ sum(X1,nn99,nn99) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1185,i_0_1204,i_0_819,i_0_1045,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_837,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864,i_0_852]) ).
cnf(i_0_1255,plain,
( X1 != nn99
| ~ sum(n0,nn99,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1175,i_0_1185,i_0_1204,i_0_819,i_0_1045,i_0_1171,i_0_1194,i_0_705,i_0_613,i_0_614,i_0_827,i_0_703,i_0_826,i_0_866,i_0_1235,i_0_1050,i_0_479,i_0_1196,i_0_837,i_0_468,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1256,plain,
~ less(n0,nn99),
inference(equality_inference,[],[1251]) ).
cnf(i_0_1257,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(equality_inference,[],[1252]) ).
cnf(i_0_1258,plain,
~ less(n0,nn99),
inference(equality_inference,[],[1253]) ).
cnf(i_0_1259,plain,
~ sum(n0,nn99,nn99),
inference(equality_inference,[],[1254]) ).
cnf(i_0_1260,plain,
~ sum(n0,nn99,nn99),
inference(equality_inference,[],[1255]) ).
cnf(i_0_1261,plain,
difference(n0,n97,nn97),
inference(scs_inference,[],[i_0_1221,i_0_602]) ).
cnf(i_0_1262,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1263,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n0)),
inference(scs_inference,[],[i_0_1221,i_0_1217,i_0_828,i_0_602,i_0_608]) ).
cnf(i_0_1264,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_1265,plain,
~ sum(n9,nn9,nn97),
inference(scs_inference,[],[i_0_868,i_0_1221,i_0_1250,i_0_1217,i_0_828,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1266,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1267,plain,
sum(n95,nn95,n0),
inference(scs_inference,[],[i_0_868,i_0_1221,i_0_1250,i_0_1217,i_0_615,i_0_828,i_0_705,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1268,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_1269,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n6),rdnn(n0),rdnn(n6)),
inference(scs_inference,[],[i_0_868,i_0_1221,i_0_1250,i_0_1217,i_0_615,i_0_828,i_0_705,i_0_480,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1270,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_1271,plain,
less(nn95,n0),
inference(scs_inference,[],[i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_615,i_0_828,i_0_705,i_0_480,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1272,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_1273,plain,
~ less_or_equal(n0,nn97),
inference(scs_inference,[],[i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_615,i_0_828,i_0_705,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1274,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1275,plain,
rdnn(n0) != rdnn(n9),
inference(scs_inference,[],[i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_615,i_0_828,i_0_705,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1276,plain,
rdnn(n6) != rdnn(n5),
inference(scs_inference,[],[i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_615,i_0_828,i_0_705,i_0_823,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1277,plain,
~ sum(n0,nn95,nn95),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_615,i_0_828,i_0_705,i_0_823,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1278,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1279,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_1280,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n9)),rdn(rdnn(n4),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1281,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1282,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_1283,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n9)),rdn(rdnn(n3),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1284,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1285,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_1286,plain,
n0 != nn95,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1287,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1288,plain,
~ less(n0,nn95),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1289,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1290,plain,
less_or_equal(nn95,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1291,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1292,plain,
~ sum(n95,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1293,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1294,plain,
( less(rdnn(n0),rdnn(n1))
| less(rdnn(n1),rdnn(n0)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1046,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1295,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1296,plain,
nn95 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1046,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1297,plain,
( X1 != nn97
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1046,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1298,plain,
( rdn_non_zero_digit(X1)
| rdnn(n1) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1046,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_838,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846]) ).
cnf(i_0_1299,plain,
( X1 != n0
| ~ less(X1,nn97) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1250,i_0_819,i_0_1046,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_838,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864]) ).
cnf(i_0_1300,plain,
( X1 != n0
| ~ sum(X1,nn97,nn97) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1231,i_0_1250,i_0_819,i_0_1046,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_838,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864,i_0_852]) ).
cnf(i_0_1301,plain,
( X1 != nn97
| ~ sum(n0,nn97,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1221,i_0_1231,i_0_1250,i_0_819,i_0_1046,i_0_1217,i_0_1240,i_0_707,i_0_615,i_0_616,i_0_828,i_0_705,i_0_823,i_0_866,i_0_1281,i_0_959,i_0_480,i_0_1242,i_0_838,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1302,plain,
~ less(n0,nn97),
inference(equality_inference,[],[1297]) ).
cnf(i_0_1303,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(equality_inference,[],[1298]) ).
cnf(i_0_1304,plain,
~ less(n0,nn97),
inference(equality_inference,[],[1299]) ).
cnf(i_0_1305,plain,
~ sum(n0,nn97,nn97),
inference(equality_inference,[],[1300]) ).
cnf(i_0_1306,plain,
~ sum(n0,nn97,nn97),
inference(equality_inference,[],[1301]) ).
cnf(i_0_1307,plain,
difference(n0,n95,nn95),
inference(scs_inference,[],[i_0_1267,i_0_602]) ).
cnf(i_0_1308,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1309,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n1)),
inference(scs_inference,[],[i_0_1267,i_0_827,i_0_1053,i_0_602,i_0_608]) ).
cnf(i_0_1310,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_1311,plain,
~ sum(nn9,n9,nn95),
inference(scs_inference,[],[i_0_878,i_0_1267,i_0_1296,i_0_827,i_0_1053,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1312,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1313,plain,
sum(n93,nn93,n0),
inference(scs_inference,[],[i_0_878,i_0_1267,i_0_1296,i_0_617,i_0_707,i_0_827,i_0_1053,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1314,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_1315,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n5),rdnn(n4),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_1267,i_0_1296,i_0_617,i_0_707,i_0_827,i_0_486,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1316,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_1317,plain,
less(nn93,n0),
inference(scs_inference,[],[i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_617,i_0_707,i_0_827,i_0_486,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1318,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_1319,plain,
~ less_or_equal(n0,nn95),
inference(scs_inference,[],[i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_617,i_0_707,i_0_827,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1320,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1321,plain,
rdnn(n0) != rdnn(n1),
inference(scs_inference,[],[i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_617,i_0_707,i_0_827,i_0_828,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1322,plain,
rdnn(n3) != rdnn(n1),
inference(scs_inference,[],[i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_617,i_0_707,i_0_826,i_0_827,i_0_828,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1323,plain,
~ sum(n0,nn93,nn93),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_617,i_0_707,i_0_826,i_0_827,i_0_828,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1324,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1325,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_1326,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n9)),rdn(rdnn(n2),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1327,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1328,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_1329,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n9)),rdn(rdnn(n1),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1330,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1331,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_1332,plain,
n0 != nn93,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1333,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1334,plain,
~ less(n0,nn93),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1335,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1336,plain,
less_or_equal(nn93,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1337,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1338,plain,
~ sum(n93,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1339,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1340,plain,
( less(rdnn(n9),rdnn(n4))
| less(rdnn(n4),rdnn(n9)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1091,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1341,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1342,plain,
nn93 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1091,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1343,plain,
( X1 != nn95
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1091,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1344,plain,
( rdn_non_zero_digit(X1)
| rdnn(n9) != X1 ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1091,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_830,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846]) ).
cnf(i_0_1345,plain,
( X1 != n0
| ~ less(X1,nn95) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1296,i_0_819,i_0_1091,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_830,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864]) ).
cnf(i_0_1346,plain,
( X1 != n0
| ~ sum(X1,nn95,nn95) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1277,i_0_1296,i_0_819,i_0_1091,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_830,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864,i_0_852]) ).
cnf(i_0_1347,plain,
( X1 != nn95
| ~ sum(n0,nn95,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1267,i_0_1277,i_0_1296,i_0_819,i_0_1091,i_0_1286,i_0_709,i_0_617,i_0_618,i_0_707,i_0_826,i_0_827,i_0_828,i_0_866,i_0_1327,i_0_486,i_0_1288,i_0_1053,i_0_830,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_846,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1348,plain,
~ less(n0,nn95),
inference(equality_inference,[],[1343]) ).
cnf(i_0_1349,plain,
rdn_non_zero_digit(rdnn(n9)),
inference(equality_inference,[],[1344]) ).
cnf(i_0_1350,plain,
~ less(n0,nn95),
inference(equality_inference,[],[1345]) ).
cnf(i_0_1351,plain,
~ sum(n0,nn95,nn95),
inference(equality_inference,[],[1346]) ).
cnf(i_0_1352,plain,
~ sum(n0,nn95,nn95),
inference(equality_inference,[],[1347]) ).
cnf(i_0_1353,plain,
difference(n0,n93,nn93),
inference(scs_inference,[],[i_0_1313,i_0_602]) ).
cnf(i_0_1354,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1355,plain,
~ rdn_positive_less(rdnn(n3),rdnn(n1)),
inference(scs_inference,[],[i_0_1313,i_0_1309,i_0_826,i_0_602,i_0_608]) ).
cnf(i_0_1356,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_1357,plain,
~ sum(n9,nn9,nn93),
inference(scs_inference,[],[i_0_868,i_0_1313,i_0_1342,i_0_1309,i_0_826,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1358,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1359,plain,
sum(n91,nn91,n0),
inference(scs_inference,[],[i_0_868,i_0_1313,i_0_1342,i_0_1309,i_0_619,i_0_709,i_0_826,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1360,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_1361,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n5),rdnn(n3),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_1313,i_0_1342,i_0_1309,i_0_619,i_0_709,i_0_826,i_0_487,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1362,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_1363,plain,
less(nn91,n0),
inference(scs_inference,[],[i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_619,i_0_709,i_0_826,i_0_487,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1364,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_1365,plain,
~ less_or_equal(n0,nn93),
inference(scs_inference,[],[i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_619,i_0_709,i_0_826,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1366,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1367,plain,
rdnn(n0) != rdnn(n2),
inference(scs_inference,[],[i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_619,i_0_709,i_0_826,i_0_828,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1368,plain,
rdnn(n4) != rdnn(n1),
inference(scs_inference,[],[i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_619,i_0_709,i_0_825,i_0_826,i_0_828,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1369,plain,
~ sum(n0,nn91,nn91),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_619,i_0_709,i_0_825,i_0_826,i_0_828,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1370,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1371,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_1372,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n9)),rdn(rdnn(n0),rdnn(n9))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1373,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1374,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_1375,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n8)),rdn(rdnn(n9),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1376,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1377,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_1378,plain,
n0 != nn91,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1379,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1380,plain,
~ less(n0,nn91),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1381,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1382,plain,
less_or_equal(nn91,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1383,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1384,plain,
~ sum(n91,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1385,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1386,plain,
( less(rdnn(n4),rdnn(n5))
| less(rdnn(n5),rdnn(n4)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1092,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1387,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1388,plain,
nn91 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1092,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1389,plain,
( X1 != nn93
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1092,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1390,plain,
( X1 != n0
| ~ less(X1,nn93) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1342,i_0_819,i_0_1092,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1391,plain,
( X1 != n0
| ~ sum(X1,nn93,nn93) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1323,i_0_1342,i_0_819,i_0_1092,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1392,plain,
( X1 != nn93
| ~ sum(n0,nn93,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1323,i_0_1342,i_0_819,i_0_1092,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1393,plain,
( sum(nn91,nn91,nn91)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n1),rdnn(n9)),rdn(rdnn(n1),rdnn(n9)),rdn(rdnn(n1),rdnn(n9))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1313,i_0_1323,i_0_1342,i_0_819,i_0_1092,i_0_1309,i_0_1332,i_0_711,i_0_619,i_0_620,i_0_709,i_0_825,i_0_826,i_0_828,i_0_866,i_0_1373,i_0_487,i_0_1334,i_0_459,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_1394,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_1395,plain,
~ less(n0,nn93),
inference(equality_inference,[],[1389]) ).
cnf(i_0_1396,plain,
~ less(n0,nn93),
inference(equality_inference,[],[1390]) ).
cnf(i_0_1397,plain,
~ sum(n0,nn93,nn93),
inference(equality_inference,[],[1391]) ).
cnf(i_0_1398,plain,
~ sum(n0,nn93,nn93),
inference(equality_inference,[],[1392]) ).
cnf(i_0_1399,plain,
difference(n0,n91,nn91),
inference(scs_inference,[],[i_0_1359,i_0_602]) ).
cnf(i_0_1400,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1401,plain,
~ rdn_positive_less(rdnn(n4),rdnn(n1)),
inference(scs_inference,[],[i_0_1359,i_0_1355,i_0_825,i_0_602,i_0_608]) ).
cnf(i_0_1402,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_1403,plain,
~ sum(nn9,n9,nn91),
inference(scs_inference,[],[i_0_878,i_0_1359,i_0_1388,i_0_1355,i_0_825,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1404,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1405,plain,
sum(n89,nn89,n0),
inference(scs_inference,[],[i_0_878,i_0_1359,i_0_1388,i_0_1355,i_0_621,i_0_711,i_0_825,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1406,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_1407,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n5),rdnn(n2),rdnn(n8)),
inference(scs_inference,[],[i_0_878,i_0_1359,i_0_1388,i_0_1355,i_0_621,i_0_711,i_0_825,i_0_488,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1408,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_1409,plain,
less(nn89,n0),
inference(scs_inference,[],[i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_621,i_0_711,i_0_825,i_0_488,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1410,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_1411,plain,
~ less_or_equal(n0,nn91),
inference(scs_inference,[],[i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_621,i_0_711,i_0_825,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1412,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1413,plain,
rdnn(n0) != rdnn(n3),
inference(scs_inference,[],[i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_621,i_0_711,i_0_825,i_0_828,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1414,plain,
rdnn(n5) != rdnn(n1),
inference(scs_inference,[],[i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_621,i_0_711,i_0_824,i_0_825,i_0_828,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1415,plain,
~ sum(n0,nn89,nn89),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_621,i_0_711,i_0_824,i_0_825,i_0_828,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1416,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1417,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_1418,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n8)),rdn(rdnn(n8),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1419,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1420,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_1421,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n8)),rdn(rdnn(n7),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1422,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1423,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_1424,plain,
n0 != nn89,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1425,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1426,plain,
~ less(n0,nn89),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1427,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1428,plain,
less_or_equal(nn89,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1429,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1430,plain,
~ sum(n89,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1431,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1432,plain,
( less(rdnn(n1),rdnn(n2))
| less(rdnn(n2),rdnn(n1)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1138,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1433,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1434,plain,
nn89 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1138,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1435,plain,
( X1 != nn91
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1138,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1436,plain,
( X1 != n0
| ~ less(X1,nn91) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1388,i_0_819,i_0_1138,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1437,plain,
( X1 != n0
| ~ sum(X1,nn91,nn91) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1369,i_0_1388,i_0_819,i_0_1138,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1438,plain,
( X1 != nn91
| ~ sum(n0,nn91,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1369,i_0_1388,i_0_819,i_0_1138,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1439,plain,
( sum(nn89,nn89,nn89)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n9),rdnn(n8)),rdn(rdnn(n9),rdnn(n8)),rdn(rdnn(n9),rdnn(n8))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1359,i_0_1369,i_0_1388,i_0_819,i_0_1138,i_0_1355,i_0_1378,i_0_713,i_0_621,i_0_622,i_0_711,i_0_824,i_0_825,i_0_828,i_0_866,i_0_1419,i_0_488,i_0_1380,i_0_469,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_1440,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_1441,plain,
~ less(n0,nn91),
inference(equality_inference,[],[1435]) ).
cnf(i_0_1442,plain,
~ less(n0,nn91),
inference(equality_inference,[],[1436]) ).
cnf(i_0_1443,plain,
~ sum(n0,nn91,nn91),
inference(equality_inference,[],[1437]) ).
cnf(i_0_1444,plain,
~ sum(n0,nn91,nn91),
inference(equality_inference,[],[1438]) ).
cnf(i_0_1445,plain,
difference(n0,n89,nn89),
inference(scs_inference,[],[i_0_1405,i_0_602]) ).
cnf(i_0_1446,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1447,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n1)),
inference(scs_inference,[],[i_0_1405,i_0_1401,i_0_824,i_0_602,i_0_608]) ).
cnf(i_0_1448,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_1449,plain,
~ sum(n9,nn9,nn89),
inference(scs_inference,[],[i_0_868,i_0_1405,i_0_1434,i_0_1401,i_0_824,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1450,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1451,plain,
sum(n87,nn87,n0),
inference(scs_inference,[],[i_0_868,i_0_1405,i_0_1434,i_0_1401,i_0_623,i_0_713,i_0_824,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1452,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_1453,plain,
rdn_add_with_carry(rdnn(n3),rdnn(n5),rdnn(n1),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_1405,i_0_1434,i_0_1401,i_0_623,i_0_713,i_0_824,i_0_489,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1454,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_1455,plain,
less(nn87,n0),
inference(scs_inference,[],[i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_623,i_0_713,i_0_824,i_0_489,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1456,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_1457,plain,
~ less_or_equal(n0,nn89),
inference(scs_inference,[],[i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_623,i_0_713,i_0_824,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1458,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1459,plain,
rdnn(n0) != rdnn(n4),
inference(scs_inference,[],[i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_623,i_0_713,i_0_824,i_0_828,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1460,plain,
rdnn(n6) != rdnn(n1),
inference(scs_inference,[],[i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_623,i_0_713,i_0_823,i_0_824,i_0_828,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1461,plain,
~ sum(n0,nn87,nn87),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_623,i_0_713,i_0_823,i_0_824,i_0_828,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1462,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1463,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_1464,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n8)),rdn(rdnn(n6),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1465,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1466,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_1467,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n8)),rdn(rdnn(n5),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1468,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1469,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_1470,plain,
n0 != nn87,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1471,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1472,plain,
~ less(n0,nn87),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1473,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1474,plain,
less_or_equal(nn87,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1475,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1476,plain,
~ sum(n87,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1477,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1478,plain,
( less(rdnn(n3),rdnn(n4))
| less(rdnn(n4),rdnn(n3)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1184,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1479,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1480,plain,
nn87 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1184,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1481,plain,
( X1 != nn89
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1184,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1482,plain,
( X1 != n0
| ~ less(X1,nn89) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1434,i_0_819,i_0_1184,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1483,plain,
( X1 != n0
| ~ sum(X1,nn89,nn89) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1415,i_0_1434,i_0_819,i_0_1184,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1484,plain,
( X1 != nn89
| ~ sum(n0,nn89,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1415,i_0_1434,i_0_819,i_0_1184,i_0_1401,i_0_1424,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1485,plain,
( sum(n6,n6,n6)
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n6),rdnn(n6),rdnn(n6)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1405,i_0_1415,i_0_1434,i_0_819,i_0_1184,i_0_1401,i_0_1424,i_0_813,i_0_715,i_0_623,i_0_624,i_0_713,i_0_823,i_0_824,i_0_828,i_0_866,i_0_1465,i_0_489,i_0_1426,i_0_477,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_1486,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_1487,plain,
~ less(n0,nn89),
inference(equality_inference,[],[1481]) ).
cnf(i_0_1488,plain,
~ less(n0,nn89),
inference(equality_inference,[],[1482]) ).
cnf(i_0_1489,plain,
~ sum(n0,nn89,nn89),
inference(equality_inference,[],[1483]) ).
cnf(i_0_1490,plain,
~ sum(n0,nn89,nn89),
inference(equality_inference,[],[1484]) ).
cnf(i_0_1491,plain,
difference(n0,n87,nn87),
inference(scs_inference,[],[i_0_1451,i_0_602]) ).
cnf(i_0_1492,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1493,plain,
~ rdn_positive_less(rdnn(n6),rdnn(n1)),
inference(scs_inference,[],[i_0_1451,i_0_1447,i_0_823,i_0_602,i_0_608]) ).
cnf(i_0_1494,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_1495,plain,
~ sum(nn9,n9,nn87),
inference(scs_inference,[],[i_0_878,i_0_1451,i_0_1480,i_0_1447,i_0_823,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1496,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1497,plain,
sum(n85,nn85,n0),
inference(scs_inference,[],[i_0_878,i_0_1451,i_0_1480,i_0_1447,i_0_625,i_0_715,i_0_823,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1498,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_1499,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n5),rdnn(n0),rdnn(n5)),
inference(scs_inference,[],[i_0_878,i_0_1451,i_0_1480,i_0_1447,i_0_625,i_0_715,i_0_823,i_0_490,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1500,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_1501,plain,
less(nn85,n0),
inference(scs_inference,[],[i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_625,i_0_715,i_0_823,i_0_490,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1502,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_1503,plain,
~ less_or_equal(n0,nn87),
inference(scs_inference,[],[i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_625,i_0_715,i_0_823,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1504,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1505,plain,
rdnn(n0) != rdnn(n5),
inference(scs_inference,[],[i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_625,i_0_715,i_0_823,i_0_828,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1506,plain,
rdnn(n7) != rdnn(n1),
inference(scs_inference,[],[i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_625,i_0_715,i_0_822,i_0_823,i_0_828,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1507,plain,
~ sum(n0,nn85,nn85),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_625,i_0_715,i_0_822,i_0_823,i_0_828,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1508,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1509,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_1510,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n8)),rdn(rdnn(n4),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1511,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1512,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_1513,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n8)),rdn(rdnn(n3),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1514,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1515,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_1516,plain,
n0 != nn85,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1517,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1518,plain,
~ less(n0,nn85),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1519,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1520,plain,
less_or_equal(nn85,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1521,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1522,plain,
~ sum(n85,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1523,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1524,plain,
( less(rdnn(n2),rdnn(n3))
| less(rdnn(n3),rdnn(n2)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1230,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1525,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1526,plain,
nn85 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1230,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1527,plain,
( X1 != nn87
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1230,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1528,plain,
( X1 != n0
| ~ less(X1,nn87) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1480,i_0_819,i_0_1230,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1529,plain,
( X1 != n0
| ~ sum(X1,nn87,nn87) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1461,i_0_1480,i_0_819,i_0_1230,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1530,plain,
( X1 != nn87
| ~ sum(n0,nn87,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1461,i_0_1480,i_0_819,i_0_1230,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1531,plain,
( sum(nn85,nn85,nn85)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n5),rdnn(n8)),rdn(rdnn(n5),rdnn(n8)),rdn(rdnn(n5),rdnn(n8))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1451,i_0_1461,i_0_1480,i_0_819,i_0_1230,i_0_1447,i_0_1470,i_0_717,i_0_625,i_0_626,i_0_715,i_0_822,i_0_823,i_0_828,i_0_866,i_0_1511,i_0_490,i_0_1472,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_1532,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_1533,plain,
~ less(n0,nn87),
inference(equality_inference,[],[1527]) ).
cnf(i_0_1534,plain,
~ less(n0,nn87),
inference(equality_inference,[],[1528]) ).
cnf(i_0_1535,plain,
~ sum(n0,nn87,nn87),
inference(equality_inference,[],[1529]) ).
cnf(i_0_1536,plain,
~ sum(n0,nn87,nn87),
inference(equality_inference,[],[1530]) ).
cnf(i_0_1537,plain,
difference(n0,n85,nn85),
inference(scs_inference,[],[i_0_1497,i_0_602]) ).
cnf(i_0_1538,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1539,plain,
~ rdn_positive_less(rdnn(n7),rdnn(n1)),
inference(scs_inference,[],[i_0_1497,i_0_1493,i_0_822,i_0_602,i_0_608]) ).
cnf(i_0_1540,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_1541,plain,
~ sum(n9,nn9,nn85),
inference(scs_inference,[],[i_0_868,i_0_1497,i_0_1526,i_0_1493,i_0_822,i_0_602,i_0_608,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(n83,nn83,n0),
inference(scs_inference,[],[i_0_868,i_0_1497,i_0_1526,i_0_1493,i_0_627,i_0_717,i_0_822,i_0_602,i_0_608,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(n5),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_1497,i_0_1526,i_0_1493,i_0_627,i_0_717,i_0_822,i_0_495,i_0_450,i_0_602,i_0_608,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(nn83,n0),
inference(scs_inference,[],[i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_627,i_0_717,i_0_822,i_0_495,i_0_450,i_0_602,i_0_608,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,
~ less_or_equal(n0,nn85),
inference(scs_inference,[],[i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_627,i_0_717,i_0_822,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1550,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1551,plain,
rdnn(n0) != rdnn(n6),
inference(scs_inference,[],[i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_627,i_0_717,i_0_822,i_0_828,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1552,plain,
rdnn(n8) != rdnn(n1),
inference(scs_inference,[],[i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_627,i_0_717,i_0_821,i_0_822,i_0_828,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1553,plain,
~ sum(n0,nn83,nn83),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_627,i_0_717,i_0_821,i_0_822,i_0_828,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1554,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1555,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_1556,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n8)),rdn(rdnn(n2),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1557,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1558,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_1559,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n8)),rdn(rdnn(n1),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1560,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1561,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_1562,plain,
n0 != nn83,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1563,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1564,plain,
~ less(n0,nn83),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1565,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1566,plain,
less_or_equal(nn83,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1567,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1568,plain,
~ sum(n83,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1569,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1570,plain,
( less(rdnn(n5),rdnn(n6))
| less(rdnn(n6),rdnn(n5)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1276,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1571,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1572,plain,
nn83 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1276,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1573,plain,
( X1 != nn85
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1276,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1574,plain,
( X1 != n0
| ~ less(X1,nn85) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1526,i_0_819,i_0_1276,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1575,plain,
( X1 != n0
| ~ sum(X1,nn85,nn85) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1507,i_0_1526,i_0_819,i_0_1276,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1576,plain,
( X1 != nn85
| ~ sum(n0,nn85,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1507,i_0_1526,i_0_819,i_0_1276,i_0_1493,i_0_1516,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1577,plain,
( sum(n3,n3,n3)
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n3),rdnn(n3)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1497,i_0_1507,i_0_1526,i_0_819,i_0_1276,i_0_1493,i_0_1516,i_0_816,i_0_719,i_0_627,i_0_628,i_0_717,i_0_821,i_0_822,i_0_828,i_0_866,i_0_1557,i_0_495,i_0_1518,i_0_450,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_1578,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_1579,plain,
~ less(n0,nn85),
inference(equality_inference,[],[1573]) ).
cnf(i_0_1580,plain,
~ less(n0,nn85),
inference(equality_inference,[],[1574]) ).
cnf(i_0_1581,plain,
~ sum(n0,nn85,nn85),
inference(equality_inference,[],[1575]) ).
cnf(i_0_1582,plain,
~ sum(n0,nn85,nn85),
inference(equality_inference,[],[1576]) ).
cnf(i_0_1583,plain,
difference(n0,n83,nn83),
inference(scs_inference,[],[i_0_1543,i_0_602]) ).
cnf(i_0_1584,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1585,plain,
~ rdn_positive_less(rdnn(n8),rdnn(n1)),
inference(scs_inference,[],[i_0_1543,i_0_1539,i_0_821,i_0_602,i_0_608]) ).
cnf(i_0_1586,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_1587,plain,
~ sum(nn9,n9,nn83),
inference(scs_inference,[],[i_0_878,i_0_1543,i_0_1572,i_0_1539,i_0_821,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1588,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1589,plain,
sum(n81,nn81,n0),
inference(scs_inference,[],[i_0_878,i_0_1543,i_0_1572,i_0_1539,i_0_629,i_0_719,i_0_821,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1590,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_1591,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n8)),
inference(scs_inference,[],[i_0_878,i_0_1543,i_0_1572,i_0_1539,i_0_629,i_0_719,i_0_821,i_0_496,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1592,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_1593,plain,
less(nn81,n0),
inference(scs_inference,[],[i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_629,i_0_719,i_0_821,i_0_496,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1594,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_1595,plain,
~ less_or_equal(n0,nn83),
inference(scs_inference,[],[i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_629,i_0_719,i_0_821,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1596,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1597,plain,
rdnn(n0) != rdnn(n7),
inference(scs_inference,[],[i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_629,i_0_719,i_0_821,i_0_828,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1598,plain,
rdnn(n9) != rdnn(n1),
inference(scs_inference,[],[i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_629,i_0_719,i_0_820,i_0_821,i_0_828,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1599,plain,
~ sum(n0,nn81,nn81),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_629,i_0_719,i_0_820,i_0_821,i_0_828,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1600,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1601,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_1602,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n8)),rdn(rdnn(n0),rdnn(n8))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1603,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1604,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_1605,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n7)),rdn(rdnn(n9),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1606,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1607,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_1608,plain,
n0 != nn81,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1609,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1610,plain,
~ less(n0,nn81),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1611,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1612,plain,
less_or_equal(nn81,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1613,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1614,plain,
~ sum(n81,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1615,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1616,plain,
( less(rdnn(n1),rdnn(n3))
| less(rdnn(n3),rdnn(n1)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1322,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1617,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1618,plain,
nn81 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1322,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1619,plain,
( X1 != nn83
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1322,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1620,plain,
( X1 != n0
| ~ less(X1,nn83) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1572,i_0_819,i_0_1322,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1621,plain,
( X1 != n0
| ~ sum(X1,nn83,nn83) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1553,i_0_1572,i_0_819,i_0_1322,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1622,plain,
( X1 != nn83
| ~ sum(n0,nn83,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1553,i_0_1572,i_0_819,i_0_1322,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1623,plain,
( sum(nn81,nn81,nn81)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n1),rdnn(n8)),rdn(rdnn(n1),rdnn(n8)),rdn(rdnn(n1),rdnn(n8))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1543,i_0_1553,i_0_1572,i_0_819,i_0_1322,i_0_1539,i_0_1562,i_0_721,i_0_629,i_0_630,i_0_719,i_0_820,i_0_821,i_0_828,i_0_866,i_0_1603,i_0_496,i_0_1564,i_0_460,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_1624,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_1625,plain,
~ less(n0,nn83),
inference(equality_inference,[],[1619]) ).
cnf(i_0_1626,plain,
~ less(n0,nn83),
inference(equality_inference,[],[1620]) ).
cnf(i_0_1627,plain,
~ sum(n0,nn83,nn83),
inference(equality_inference,[],[1621]) ).
cnf(i_0_1628,plain,
~ sum(n0,nn83,nn83),
inference(equality_inference,[],[1622]) ).
cnf(i_0_1629,plain,
difference(n0,n81,nn81),
inference(scs_inference,[],[i_0_1589,i_0_602]) ).
cnf(i_0_1630,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1631,plain,
~ rdn_positive_less(rdnn(n1),rdnn(n0)),
inference(scs_inference,[],[i_0_1589,i_0_828,i_0_956,i_0_602,i_0_608]) ).
cnf(i_0_1632,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_1633,plain,
~ sum(n9,nn9,nn81),
inference(scs_inference,[],[i_0_868,i_0_1589,i_0_1618,i_0_828,i_0_956,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_1634,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1635,plain,
sum(n79,nn79,n0),
inference(scs_inference,[],[i_0_868,i_0_1589,i_0_1618,i_0_631,i_0_721,i_0_828,i_0_956,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_1636,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_1637,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n3),rdnn(n7)),
inference(scs_inference,[],[i_0_868,i_0_1589,i_0_1618,i_0_631,i_0_721,i_0_828,i_0_497,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_1638,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_1639,plain,
less(nn79,n0),
inference(scs_inference,[],[i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_631,i_0_721,i_0_828,i_0_497,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1640,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_1641,plain,
~ less_or_equal(n0,nn81),
inference(scs_inference,[],[i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1608,i_0_631,i_0_721,i_0_828,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1642,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1643,plain,
rdnn(n0) != rdnn(n8),
inference(scs_inference,[],[i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_631,i_0_721,i_0_828,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1644,plain,
rdnn(n2) != rdnn(n0),
inference(scs_inference,[],[i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_631,i_0_721,i_0_827,i_0_828,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1645,plain,
~ sum(n0,nn79,nn79),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_631,i_0_721,i_0_827,i_0_828,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1646,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1647,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_1648,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1649,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1650,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_1651,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n7)),rdn(rdnn(n7),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1652,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1653,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_1654,plain,
n0 != nn79,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1655,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1656,plain,
~ less(n0,nn79),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1657,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1658,plain,
less_or_equal(nn79,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1659,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1660,plain,
~ sum(n79,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1661,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1662,plain,
( less(rdnn(n1),rdnn(n4))
| less(rdnn(n4),rdnn(n1)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1368,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1663,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1664,plain,
nn79 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1368,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1665,plain,
( X1 != nn81
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1368,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1666,plain,
( X1 != n0
| ~ less(X1,nn81) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1618,i_0_819,i_0_1368,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1667,plain,
( X1 != n0
| ~ sum(X1,nn81,nn81) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1599,i_0_1618,i_0_819,i_0_1368,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1668,plain,
( X1 != nn81
| ~ sum(n0,nn81,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1599,i_0_1618,i_0_819,i_0_1368,i_0_1585,i_0_1608,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1669,plain,
( sum(n1,n1,n1)
| ~ rdn_add_with_carry(rdnn(n0),rdnn(n1),rdnn(n1),rdnn(n1)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1589,i_0_1599,i_0_1618,i_0_819,i_0_1368,i_0_1585,i_0_1608,i_0_818,i_0_723,i_0_631,i_0_632,i_0_721,i_0_827,i_0_828,i_0_866,i_0_1649,i_0_497,i_0_1610,i_0_956,i_0_470,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_1670,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_1671,plain,
~ less(n0,nn81),
inference(equality_inference,[],[1665]) ).
cnf(i_0_1672,plain,
~ less(n0,nn81),
inference(equality_inference,[],[1666]) ).
cnf(i_0_1673,plain,
~ sum(n0,nn81,nn81),
inference(equality_inference,[],[1667]) ).
cnf(i_0_1674,plain,
~ sum(n0,nn81,nn81),
inference(equality_inference,[],[1668]) ).
cnf(i_0_1675,plain,
difference(n0,n79,nn79),
inference(scs_inference,[],[i_0_1635,i_0_602]) ).
cnf(i_0_1676,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1677,plain,
~ sum(nn9,n9,nn79),
inference(scs_inference,[],[i_0_878,i_0_1635,i_0_1664,i_0_602,i_0_601]) ).
cnf(i_0_1678,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1679,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n0)),
inference(scs_inference,[],[i_0_878,i_0_1635,i_0_1664,i_0_1631,i_0_827,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_1680,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_1681,plain,
sum(n77,nn77,n0),
inference(scs_inference,[],[i_0_878,i_0_1635,i_0_1664,i_0_1631,i_0_633,i_0_723,i_0_827,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_1682,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_1683,plain,
rdn_add_with_carry(rdnn(n2),rdnn(n4),rdnn(n2),rdnn(n8)),
inference(scs_inference,[],[i_0_878,i_0_1635,i_0_1664,i_0_1631,i_0_633,i_0_723,i_0_827,i_0_498,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_1684,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_1685,plain,
less(nn77,n0),
inference(scs_inference,[],[i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_633,i_0_723,i_0_827,i_0_498,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1686,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_1687,plain,
~ less_or_equal(n0,nn79),
inference(scs_inference,[],[i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_633,i_0_723,i_0_827,i_0_498,i_0_1656,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1688,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1689,plain,
rdnn(n7) != rdnn(n8),
inference(scs_inference,[],[i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_633,i_0_723,i_0_821,i_0_827,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1690,plain,
rdnn(n3) != rdnn(n0),
inference(scs_inference,[],[i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_633,i_0_723,i_0_821,i_0_826,i_0_827,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1691,plain,
~ sum(n0,nn77,nn77),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_633,i_0_723,i_0_821,i_0_826,i_0_827,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1692,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1693,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_1694,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n7)),rdn(rdnn(n6),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1695,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1696,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_1697,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n7)),rdn(rdnn(n5),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1698,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1699,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_1700,plain,
n0 != nn77,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1701,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1702,plain,
~ less(n0,nn77),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1703,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1704,plain,
less_or_equal(nn77,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1705,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1706,plain,
~ sum(n77,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1707,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1708,plain,
( less(rdnn(n1),rdnn(n5))
| less(rdnn(n5),rdnn(n1)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1414,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1709,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1710,plain,
nn77 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1414,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1711,plain,
( X1 != nn79
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1414,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1712,plain,
( X1 != n0
| ~ less(X1,nn79) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1664,i_0_819,i_0_1414,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1713,plain,
( X1 != n0
| ~ sum(X1,nn79,nn79) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1645,i_0_1664,i_0_819,i_0_1414,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1714,plain,
( X1 != nn79
| ~ sum(n0,nn79,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1645,i_0_1664,i_0_819,i_0_1414,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1715,plain,
( sum(nn77,nn77,nn77)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n7),rdnn(n7)),rdn(rdnn(n7),rdnn(n7)),rdn(rdnn(n7),rdnn(n7))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1635,i_0_1645,i_0_1664,i_0_819,i_0_1414,i_0_1631,i_0_1654,i_0_725,i_0_633,i_0_634,i_0_723,i_0_821,i_0_826,i_0_827,i_0_866,i_0_1695,i_0_498,i_0_1656,i_0_883,i_0_478,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_1716,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_1717,plain,
~ less(n0,nn79),
inference(equality_inference,[],[1711]) ).
cnf(i_0_1718,plain,
~ less(n0,nn79),
inference(equality_inference,[],[1712]) ).
cnf(i_0_1719,plain,
~ sum(n0,nn79,nn79),
inference(equality_inference,[],[1713]) ).
cnf(i_0_1720,plain,
~ sum(n0,nn79,nn79),
inference(equality_inference,[],[1714]) ).
cnf(i_0_1721,plain,
difference(n0,n77,nn77),
inference(scs_inference,[],[i_0_1681,i_0_602]) ).
cnf(i_0_1722,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1723,plain,
~ sum(n9,nn9,nn77),
inference(scs_inference,[],[i_0_868,i_0_1681,i_0_1710,i_0_602,i_0_601]) ).
cnf(i_0_1724,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1725,plain,
~ rdn_positive_less(rdnn(n3),rdnn(n0)),
inference(scs_inference,[],[i_0_868,i_0_1681,i_0_1710,i_0_1679,i_0_826,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_1726,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_1727,plain,
sum(n75,nn75,n0),
inference(scs_inference,[],[i_0_868,i_0_1681,i_0_1710,i_0_1679,i_0_635,i_0_725,i_0_826,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_1728,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_1729,plain,
rdn_add_with_carry(rdnn(n4),rdnn(n4),rdnn(n1),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_1681,i_0_1710,i_0_1679,i_0_635,i_0_725,i_0_826,i_0_499,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_1730,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_1731,plain,
less(nn75,n0),
inference(scs_inference,[],[i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_635,i_0_725,i_0_826,i_0_499,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1732,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_1733,plain,
~ less_or_equal(n0,nn77),
inference(scs_inference,[],[i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_635,i_0_725,i_0_826,i_0_499,i_0_1702,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1734,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1735,plain,
rdnn(n6) != rdnn(n7),
inference(scs_inference,[],[i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_635,i_0_725,i_0_822,i_0_826,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1736,plain,
rdnn(n4) != rdnn(n0),
inference(scs_inference,[],[i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_635,i_0_725,i_0_822,i_0_825,i_0_826,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1737,plain,
~ sum(n0,nn75,nn75),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_635,i_0_725,i_0_822,i_0_825,i_0_826,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1738,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1739,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_1740,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n7)),rdn(rdnn(n4),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1741,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1742,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_1743,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n7)),rdn(rdnn(n3),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1744,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1745,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_1746,plain,
n0 != nn75,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1747,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1748,plain,
~ less(n0,nn75),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1749,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1750,plain,
less_or_equal(nn75,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1751,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1752,plain,
~ sum(n75,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1753,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1754,plain,
( less(rdnn(n1),rdnn(n6))
| less(rdnn(n6),rdnn(n1)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1460,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1755,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1756,plain,
nn75 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1460,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1757,plain,
( X1 != nn77
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1460,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1758,plain,
( X1 != n0
| ~ less(X1,nn77) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1710,i_0_819,i_0_1460,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1759,plain,
( X1 != n0
| ~ sum(X1,nn77,nn77) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1691,i_0_1710,i_0_819,i_0_1460,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1760,plain,
( X1 != nn77
| ~ sum(n0,nn77,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1691,i_0_1710,i_0_819,i_0_1460,i_0_1679,i_0_1700,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1761,plain,
( sum(n12,n12,n12)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n2),rdnn(n1))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1681,i_0_1691,i_0_1710,i_0_819,i_0_1460,i_0_1679,i_0_1700,i_0_788,i_0_727,i_0_635,i_0_636,i_0_725,i_0_822,i_0_825,i_0_826,i_0_866,i_0_1741,i_0_499,i_0_1702,i_0_919,i_0_486,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_1762,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_1763,plain,
~ less(n0,nn77),
inference(equality_inference,[],[1757]) ).
cnf(i_0_1764,plain,
~ less(n0,nn77),
inference(equality_inference,[],[1758]) ).
cnf(i_0_1765,plain,
~ sum(n0,nn77,nn77),
inference(equality_inference,[],[1759]) ).
cnf(i_0_1766,plain,
~ sum(n0,nn77,nn77),
inference(equality_inference,[],[1760]) ).
cnf(i_0_1767,plain,
difference(n0,n75,nn75),
inference(scs_inference,[],[i_0_1727,i_0_602]) ).
cnf(i_0_1768,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1769,plain,
~ sum(nn9,n9,nn75),
inference(scs_inference,[],[i_0_878,i_0_1727,i_0_1756,i_0_602,i_0_601]) ).
cnf(i_0_1770,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1771,plain,
~ rdn_positive_less(rdnn(n4),rdnn(n0)),
inference(scs_inference,[],[i_0_878,i_0_1727,i_0_1756,i_0_1725,i_0_825,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_1772,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_1773,plain,
sum(n73,nn73,n0),
inference(scs_inference,[],[i_0_878,i_0_1727,i_0_1756,i_0_1725,i_0_637,i_0_727,i_0_825,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_1774,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_1775,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n0),rdnn(n4)),
inference(scs_inference,[],[i_0_878,i_0_1727,i_0_1756,i_0_1725,i_0_637,i_0_727,i_0_825,i_0_500,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_1776,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_1777,plain,
less(nn73,n0),
inference(scs_inference,[],[i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_637,i_0_727,i_0_825,i_0_500,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1778,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_1779,plain,
~ less_or_equal(n0,nn75),
inference(scs_inference,[],[i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_637,i_0_727,i_0_825,i_0_500,i_0_1748,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1780,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1781,plain,
rdnn(n1) != rdnn(n2),
inference(scs_inference,[],[i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_637,i_0_727,i_0_825,i_0_827,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1782,plain,
rdnn(n5) != rdnn(n0),
inference(scs_inference,[],[i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_637,i_0_727,i_0_824,i_0_825,i_0_827,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1783,plain,
~ sum(n0,nn73,nn73),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_637,i_0_727,i_0_824,i_0_825,i_0_827,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1784,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1785,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_1786,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n7)),rdn(rdnn(n2),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1787,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1788,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_1789,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n7)),rdn(rdnn(n1),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1790,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1791,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_1792,plain,
n0 != nn73,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1793,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1794,plain,
~ less(n0,nn73),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1795,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1796,plain,
less_or_equal(nn73,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1797,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1798,plain,
~ sum(n73,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1799,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1800,plain,
( less(rdnn(n1),rdnn(n7))
| less(rdnn(n7),rdnn(n1)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1506,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1801,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1802,plain,
nn73 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1506,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1803,plain,
( X1 != nn75
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1506,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1804,plain,
( X1 != n0
| ~ less(X1,nn75) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1756,i_0_819,i_0_1506,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1805,plain,
( X1 != n0
| ~ sum(X1,nn75,nn75) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1737,i_0_1756,i_0_819,i_0_1506,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1806,plain,
( X1 != nn75
| ~ sum(n0,nn75,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1737,i_0_1756,i_0_819,i_0_1506,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1807,plain,
( sum(nn73,nn73,nn73)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n7)),rdn(rdnn(n3),rdnn(n7)),rdn(rdnn(n3),rdnn(n7))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1727,i_0_1737,i_0_1756,i_0_819,i_0_1506,i_0_1725,i_0_1746,i_0_729,i_0_637,i_0_638,i_0_727,i_0_824,i_0_825,i_0_827,i_0_866,i_0_1787,i_0_500,i_0_1748,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_1808,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_1809,plain,
~ less(n0,nn75),
inference(equality_inference,[],[1803]) ).
cnf(i_0_1810,plain,
~ less(n0,nn75),
inference(equality_inference,[],[1804]) ).
cnf(i_0_1811,plain,
~ sum(n0,nn75,nn75),
inference(equality_inference,[],[1805]) ).
cnf(i_0_1812,plain,
~ sum(n0,nn75,nn75),
inference(equality_inference,[],[1806]) ).
cnf(i_0_1813,plain,
difference(n0,n73,nn73),
inference(scs_inference,[],[i_0_1773,i_0_602]) ).
cnf(i_0_1814,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1815,plain,
~ sum(n9,nn9,nn73),
inference(scs_inference,[],[i_0_868,i_0_1773,i_0_1802,i_0_602,i_0_601]) ).
cnf(i_0_1816,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1817,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n0)),
inference(scs_inference,[],[i_0_868,i_0_1773,i_0_1802,i_0_1771,i_0_824,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_1818,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_1819,plain,
sum(n71,nn71,n0),
inference(scs_inference,[],[i_0_868,i_0_1773,i_0_1802,i_0_1771,i_0_639,i_0_729,i_0_824,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_1820,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_1821,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n6),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_1773,i_0_1802,i_0_1771,i_0_639,i_0_729,i_0_824,i_0_504,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_1822,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_1823,plain,
less(nn71,n0),
inference(scs_inference,[],[i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_639,i_0_729,i_0_824,i_0_504,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1824,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_1825,plain,
~ less_or_equal(n0,nn73),
inference(scs_inference,[],[i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_639,i_0_729,i_0_824,i_0_504,i_0_1794,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1826,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1827,plain,
rdnn(n5) != rdnn(n6),
inference(scs_inference,[],[i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_639,i_0_729,i_0_823,i_0_824,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1828,plain,
rdnn(n6) != rdnn(n0),
inference(scs_inference,[],[i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_639,i_0_729,i_0_823,i_0_824,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1829,plain,
~ sum(n0,nn71,nn71),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_639,i_0_729,i_0_823,i_0_824,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1830,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1831,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_1832,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n7)),rdn(rdnn(n0),rdnn(n7))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1833,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1834,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_1835,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n6)),rdn(rdnn(n9),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1836,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1837,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_1838,plain,
n0 != nn71,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1839,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1840,plain,
~ less(n0,nn71),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1841,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1842,plain,
less_or_equal(nn71,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1843,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1844,plain,
~ sum(n71,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1845,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1846,plain,
( less(rdnn(n1),rdnn(n8))
| less(rdnn(n8),rdnn(n1)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1552,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1847,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1848,plain,
nn71 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1552,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1849,plain,
( X1 != nn73
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1552,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1850,plain,
( X1 != n0
| ~ less(X1,nn73) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1802,i_0_819,i_0_1552,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1851,plain,
( X1 != n0
| ~ sum(X1,nn73,nn73) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1783,i_0_1802,i_0_819,i_0_1552,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1852,plain,
( X1 != nn73
| ~ sum(n0,nn73,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1783,i_0_1802,i_0_819,i_0_1552,i_0_1771,i_0_1792,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1853,plain,
( sum(n98,n98,n98)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n8),rdnn(n9)),rdn(rdnn(n8),rdnn(n9)),rdn(rdnn(n8),rdnn(n9))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1773,i_0_1783,i_0_1802,i_0_819,i_0_1552,i_0_1771,i_0_1792,i_0_702,i_0_731,i_0_639,i_0_640,i_0_729,i_0_823,i_0_824,i_0_866,i_0_1833,i_0_504,i_0_1794,i_0_922,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_1854,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_1855,plain,
~ less(n0,nn73),
inference(equality_inference,[],[1849]) ).
cnf(i_0_1856,plain,
~ less(n0,nn73),
inference(equality_inference,[],[1850]) ).
cnf(i_0_1857,plain,
~ sum(n0,nn73,nn73),
inference(equality_inference,[],[1851]) ).
cnf(i_0_1858,plain,
~ sum(n0,nn73,nn73),
inference(equality_inference,[],[1852]) ).
cnf(i_0_1859,plain,
difference(n0,n71,nn71),
inference(scs_inference,[],[i_0_1819,i_0_602]) ).
cnf(i_0_1860,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1861,plain,
~ sum(nn9,n9,nn71),
inference(scs_inference,[],[i_0_878,i_0_1819,i_0_1848,i_0_602,i_0_601]) ).
cnf(i_0_1862,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1863,plain,
~ rdn_positive_less(rdnn(n6),rdnn(n0)),
inference(scs_inference,[],[i_0_878,i_0_1819,i_0_1848,i_0_1817,i_0_823,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_1864,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_1865,plain,
sum(n69,nn69,n0),
inference(scs_inference,[],[i_0_878,i_0_1819,i_0_1848,i_0_1817,i_0_641,i_0_731,i_0_823,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_1866,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_1867,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n3),rdnn(n5),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_1819,i_0_1848,i_0_1817,i_0_641,i_0_731,i_0_823,i_0_505,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_1868,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_1869,plain,
less(nn69,n0),
inference(scs_inference,[],[i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_641,i_0_731,i_0_823,i_0_505,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1870,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_1871,plain,
~ less_or_equal(n0,nn71),
inference(scs_inference,[],[i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_641,i_0_731,i_0_823,i_0_505,i_0_1840,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1872,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1873,plain,
rdnn(n2) != rdnn(n3),
inference(scs_inference,[],[i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_641,i_0_731,i_0_823,i_0_826,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1874,plain,
rdnn(n7) != rdnn(n0),
inference(scs_inference,[],[i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_641,i_0_731,i_0_822,i_0_823,i_0_826,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1875,plain,
~ sum(n0,nn69,nn69),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_641,i_0_731,i_0_822,i_0_823,i_0_826,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1876,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1877,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_1878,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n6)),rdn(rdnn(n8),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1879,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1880,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_1881,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n6)),rdn(rdnn(n7),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1882,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1883,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_1884,plain,
n0 != nn69,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1885,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1886,plain,
~ less(n0,nn69),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1887,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1888,plain,
less_or_equal(nn69,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1889,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1890,plain,
~ sum(n69,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1891,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1892,plain,
( less(rdnn(n9),rdnn(n3))
| less(rdnn(n3),rdnn(n9)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1137,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1893,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1894,plain,
nn69 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1137,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1895,plain,
( X1 != nn71
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1137,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1896,plain,
( X1 != n0
| ~ less(X1,nn71) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1848,i_0_819,i_0_1137,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1897,plain,
( X1 != n0
| ~ sum(X1,nn71,nn71) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1829,i_0_1848,i_0_819,i_0_1137,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1898,plain,
( X1 != nn71
| ~ sum(n0,nn71,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1829,i_0_1848,i_0_819,i_0_1137,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1899,plain,
( sum(nn69,nn69,nn69)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n9),rdnn(n6)),rdn(rdnn(n9),rdnn(n6)),rdn(rdnn(n9),rdnn(n6))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1819,i_0_1829,i_0_1848,i_0_819,i_0_1137,i_0_1817,i_0_1838,i_0_733,i_0_641,i_0_642,i_0_731,i_0_822,i_0_823,i_0_826,i_0_866,i_0_1879,i_0_505,i_0_1840,i_0_1007,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_1900,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_1901,plain,
~ less(n0,nn71),
inference(equality_inference,[],[1895]) ).
cnf(i_0_1902,plain,
~ less(n0,nn71),
inference(equality_inference,[],[1896]) ).
cnf(i_0_1903,plain,
~ sum(n0,nn71,nn71),
inference(equality_inference,[],[1897]) ).
cnf(i_0_1904,plain,
~ sum(n0,nn71,nn71),
inference(equality_inference,[],[1898]) ).
cnf(i_0_1905,plain,
difference(n0,n69,nn69),
inference(scs_inference,[],[i_0_1865,i_0_602]) ).
cnf(i_0_1906,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1907,plain,
~ sum(n9,nn9,nn69),
inference(scs_inference,[],[i_0_868,i_0_1865,i_0_1894,i_0_602,i_0_601]) ).
cnf(i_0_1908,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1909,plain,
~ rdn_positive_less(rdnn(n7),rdnn(n0)),
inference(scs_inference,[],[i_0_868,i_0_1865,i_0_1894,i_0_1863,i_0_822,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_1910,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_1911,plain,
sum(n67,nn67,n0),
inference(scs_inference,[],[i_0_868,i_0_1865,i_0_1894,i_0_1863,i_0_643,i_0_733,i_0_822,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_1912,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_1913,plain,
rdn_add_with_carry(rdnn(n2),rdnn(n3),rdnn(n4),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_1865,i_0_1894,i_0_1863,i_0_643,i_0_733,i_0_822,i_0_506,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_1914,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_1915,plain,
less(nn67,n0),
inference(scs_inference,[],[i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_643,i_0_733,i_0_822,i_0_506,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1916,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_1917,plain,
~ less_or_equal(n0,nn69),
inference(scs_inference,[],[i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_643,i_0_733,i_0_822,i_0_506,i_0_1886,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1918,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1919,plain,
rdnn(n4) != rdnn(n5),
inference(scs_inference,[],[i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_643,i_0_733,i_0_822,i_0_824,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1920,plain,
rdnn(n8) != rdnn(n0),
inference(scs_inference,[],[i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_643,i_0_733,i_0_821,i_0_822,i_0_824,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_1921,plain,
~ sum(n0,nn67,nn67),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_643,i_0_733,i_0_821,i_0_822,i_0_824,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_1922,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1923,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_1924,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n6)),rdn(rdnn(n6),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_1925,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1926,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_1927,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n6)),rdn(rdnn(n5),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1928,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1929,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_1930,plain,
n0 != nn67,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1931,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1932,plain,
~ less(n0,nn67),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1933,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1934,plain,
less_or_equal(nn67,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1935,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1936,plain,
~ sum(n67,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1937,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1938,plain,
( less(rdnn(n9),rdnn(n2))
| less(rdnn(n2),rdnn(n9)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1183,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1939,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1940,plain,
nn67 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1183,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1941,plain,
( X1 != nn69
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1183,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1942,plain,
( X1 != n0
| ~ less(X1,nn69) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1894,i_0_819,i_0_1183,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1943,plain,
( X1 != n0
| ~ sum(X1,nn69,nn69) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1875,i_0_1894,i_0_819,i_0_1183,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1944,plain,
( X1 != nn69
| ~ sum(n0,nn69,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1875,i_0_1894,i_0_819,i_0_1183,i_0_1863,i_0_1884,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_1945,plain,
( sum(n96,n96,n96)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n6),rdnn(n9)),rdn(rdnn(n6),rdnn(n9)),rdn(rdnn(n6),rdnn(n9))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1865,i_0_1875,i_0_1894,i_0_819,i_0_1183,i_0_1863,i_0_1884,i_0_704,i_0_735,i_0_643,i_0_644,i_0_733,i_0_821,i_0_822,i_0_824,i_0_866,i_0_1925,i_0_506,i_0_1886,i_0_959,i_0_468,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_1946,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_1947,plain,
~ less(n0,nn69),
inference(equality_inference,[],[1941]) ).
cnf(i_0_1948,plain,
~ less(n0,nn69),
inference(equality_inference,[],[1942]) ).
cnf(i_0_1949,plain,
~ sum(n0,nn69,nn69),
inference(equality_inference,[],[1943]) ).
cnf(i_0_1950,plain,
~ sum(n0,nn69,nn69),
inference(equality_inference,[],[1944]) ).
cnf(i_0_1951,plain,
difference(n0,n67,nn67),
inference(scs_inference,[],[i_0_1911,i_0_602]) ).
cnf(i_0_1952,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1953,plain,
~ sum(nn9,n9,nn67),
inference(scs_inference,[],[i_0_878,i_0_1911,i_0_1940,i_0_602,i_0_601]) ).
cnf(i_0_1954,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_1955,plain,
~ rdn_positive_less(rdnn(n8),rdnn(n0)),
inference(scs_inference,[],[i_0_878,i_0_1911,i_0_1940,i_0_1909,i_0_821,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_1956,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_1957,plain,
sum(n65,nn65,n0),
inference(scs_inference,[],[i_0_878,i_0_1911,i_0_1940,i_0_1909,i_0_645,i_0_735,i_0_821,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_1958,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_1959,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n3),rdnn(n3),rdnn(n7)),
inference(scs_inference,[],[i_0_878,i_0_1911,i_0_1940,i_0_1909,i_0_645,i_0_735,i_0_821,i_0_507,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_1960,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_1961,plain,
less(nn65,n0),
inference(scs_inference,[],[i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_645,i_0_735,i_0_821,i_0_507,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_1962,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_1963,plain,
~ less_or_equal(n0,nn67),
inference(scs_inference,[],[i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_645,i_0_735,i_0_821,i_0_507,i_0_1932,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_1964,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_1965,plain,
rdnn(n3) != rdnn(n4),
inference(scs_inference,[],[i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_645,i_0_735,i_0_821,i_0_825,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_1966,plain,
~ sum(n0,nn65,nn65),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_645,i_0_735,i_0_821,i_0_825,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598]) ).
cnf(i_0_1967,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_1968,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_1969,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n6)),rdn(rdnn(n4),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610]) ).
cnf(i_0_1970,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1971,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_1972,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n6)),rdn(rdnn(n3),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_1973,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_1974,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_1975,plain,
n0 != nn65,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_1976,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_1977,plain,
~ less(n0,nn65),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_1978,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_1979,plain,
less_or_equal(nn65,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_1980,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_1981,plain,
~ sum(n65,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_1982,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_1983,plain,
( less(rdnn(n9),rdnn(n1))
| less(rdnn(n1),rdnn(n9)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1229,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_1984,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1985,plain,
nn65 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1229,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_1986,plain,
( X1 != nn67
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1229,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_1987,plain,
( X1 != n0
| ~ less(X1,nn67) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1940,i_0_819,i_0_1229,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_1988,plain,
( X1 != n0
| ~ sum(X1,nn67,nn67) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1921,i_0_1940,i_0_819,i_0_1229,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_1989,plain,
( X1 != rdnn(n0)
| ~ rdn_positive_less(rdnn(n9),X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1921,i_0_1940,i_0_819,i_0_1229,i_0_1263,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_858]) ).
cnf(i_0_1990,plain,
( X1 != nn67
| ~ sum(n0,nn67,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1911,i_0_1921,i_0_1940,i_0_819,i_0_1229,i_0_1263,i_0_1909,i_0_1930,i_0_737,i_0_645,i_0_646,i_0_735,i_0_821,i_0_825,i_0_866,i_0_1970,i_0_507,i_0_1932,i_0_1004,i_0_479,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_858,i_0_854]) ).
cnf(i_0_1991,plain,
~ less(n0,nn67),
inference(equality_inference,[],[1986]) ).
cnf(i_0_1992,plain,
~ less(n0,nn67),
inference(equality_inference,[],[1987]) ).
cnf(i_0_1993,plain,
~ sum(n0,nn67,nn67),
inference(equality_inference,[],[1988]) ).
cnf(i_0_1994,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n0)),
inference(equality_inference,[],[1989]) ).
cnf(i_0_1995,plain,
~ sum(n0,nn67,nn67),
inference(equality_inference,[],[1990]) ).
cnf(i_0_1996,plain,
difference(n0,n65,nn65),
inference(scs_inference,[],[i_0_1957,i_0_602]) ).
cnf(i_0_1997,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_1998,plain,
~ sum(n9,nn9,nn65),
inference(scs_inference,[],[i_0_868,i_0_1957,i_0_1985,i_0_602,i_0_601]) ).
cnf(i_0_1999,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2000,plain,
~ rdn_positive_less(rdnn(n8),rdnn(n7)),
inference(scs_inference,[],[i_0_868,i_0_1957,i_0_1985,i_0_821,i_0_919,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2001,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_2002,plain,
sum(n63,nn63,n0),
inference(scs_inference,[],[i_0_868,i_0_1957,i_0_1985,i_0_647,i_0_737,i_0_821,i_0_919,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2003,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_2004,plain,
rdn_add_with_carry(rdnn(n3),rdnn(n3),rdnn(n2),rdnn(n8)),
inference(scs_inference,[],[i_0_868,i_0_1957,i_0_1985,i_0_647,i_0_737,i_0_821,i_0_919,i_0_508,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2005,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_2006,plain,
less(nn63,n0),
inference(scs_inference,[],[i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_647,i_0_737,i_0_821,i_0_919,i_0_508,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2007,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_2008,plain,
~ less_or_equal(n0,nn65),
inference(scs_inference,[],[i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_647,i_0_737,i_0_821,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2009,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2010,plain,
rdnn(n6) != rdnn(n8),
inference(scs_inference,[],[i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_647,i_0_737,i_0_821,i_0_822,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2011,plain,
rdnn(n9) != rdnn(n7),
inference(scs_inference,[],[i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_647,i_0_737,i_0_820,i_0_821,i_0_822,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2012,plain,
~ sum(n0,nn63,nn63),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_647,i_0_737,i_0_820,i_0_821,i_0_822,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2013,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2014,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_2015,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n6)),rdn(rdnn(n2),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2016,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2017,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_2018,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n6)),rdn(rdnn(n1),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2019,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2020,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_2021,plain,
n0 != nn63,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2022,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2023,plain,
~ less(n0,nn63),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2024,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2025,plain,
less_or_equal(nn63,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2026,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2027,plain,
~ sum(n63,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2028,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2029,plain,
( less(rdnn(n0),rdnn(n2))
| less(rdnn(n2),rdnn(n0)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1644,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2030,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2031,plain,
nn63 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1644,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2032,plain,
( X1 != nn65
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1644,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2033,plain,
( X1 != n0
| ~ less(X1,nn65) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1985,i_0_819,i_0_1644,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2034,plain,
( X1 != n0
| ~ sum(X1,nn65,nn65) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1966,i_0_1985,i_0_819,i_0_1644,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2035,plain,
( X1 != nn65
| ~ sum(n0,nn65,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1966,i_0_1985,i_0_819,i_0_1644,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2036,plain,
( sum(nn63,nn63,nn63)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n6)),rdn(rdnn(n3),rdnn(n6)),rdn(rdnn(n3),rdnn(n6))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1957,i_0_1966,i_0_1985,i_0_819,i_0_1644,i_0_1975,i_0_739,i_0_647,i_0_648,i_0_737,i_0_820,i_0_821,i_0_822,i_0_866,i_0_2016,i_0_919,i_0_508,i_0_1977,i_0_487,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2037,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2038,plain,
~ less(n0,nn65),
inference(equality_inference,[],[2032]) ).
cnf(i_0_2039,plain,
~ less(n0,nn65),
inference(equality_inference,[],[2033]) ).
cnf(i_0_2040,plain,
~ sum(n0,nn65,nn65),
inference(equality_inference,[],[2034]) ).
cnf(i_0_2041,plain,
~ sum(n0,nn65,nn65),
inference(equality_inference,[],[2035]) ).
cnf(i_0_2042,plain,
difference(n0,n63,nn63),
inference(scs_inference,[],[i_0_2002,i_0_602]) ).
cnf(i_0_2043,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2044,plain,
~ sum(nn9,n9,nn63),
inference(scs_inference,[],[i_0_878,i_0_2002,i_0_2031,i_0_602,i_0_601]) ).
cnf(i_0_2045,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2046,plain,
~ rdn_positive_less(rdnn(n7),rdnn(n6)),
inference(scs_inference,[],[i_0_878,i_0_2002,i_0_2031,i_0_822,i_0_922,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2047,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_2048,plain,
sum(n61,nn61,n0),
inference(scs_inference,[],[i_0_878,i_0_2002,i_0_2031,i_0_649,i_0_739,i_0_822,i_0_922,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2049,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_2050,plain,
rdn_add_with_carry(rdnn(n5),rdnn(n3),rdnn(n1),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_2002,i_0_2031,i_0_649,i_0_739,i_0_822,i_0_922,i_0_509,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2051,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_2052,plain,
less(nn61,n0),
inference(scs_inference,[],[i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_649,i_0_739,i_0_822,i_0_922,i_0_509,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2053,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_2054,plain,
~ less_or_equal(n0,nn63),
inference(scs_inference,[],[i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_649,i_0_739,i_0_822,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2055,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2056,plain,
rdnn(n5) != rdnn(n7),
inference(scs_inference,[],[i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_649,i_0_739,i_0_823,i_0_822,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2057,plain,
rdnn(n8) != rdnn(n6),
inference(scs_inference,[],[i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_649,i_0_739,i_0_823,i_0_821,i_0_822,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2058,plain,
~ sum(n0,nn61,nn61),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_649,i_0_739,i_0_823,i_0_821,i_0_822,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2059,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2060,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_2061,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n6)),rdn(rdnn(n0),rdnn(n6))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2062,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2063,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_2064,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n5)),rdn(rdnn(n9),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2065,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2066,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_2067,plain,
n0 != nn61,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2068,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2069,plain,
~ less(n0,nn61),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2070,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2071,plain,
less_or_equal(nn61,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2072,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2073,plain,
~ sum(n61,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2074,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2075,plain,
( less(rdnn(n3),rdnn(n0))
| less(rdnn(n0),rdnn(n3)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_1413,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2076,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2077,plain,
nn61 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_1413,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2078,plain,
( X1 != nn63
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_1413,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2079,plain,
( X1 != n0
| ~ less(X1,nn63) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2031,i_0_819,i_0_1413,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2080,plain,
( X1 != n0
| ~ sum(X1,nn63,nn63) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2012,i_0_2031,i_0_819,i_0_1413,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2081,plain,
( X1 != nn63
| ~ sum(n0,nn63,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2012,i_0_2031,i_0_819,i_0_1413,i_0_2021,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2082,plain,
( sum(n94,n94,n94)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n4),rdnn(n9)),rdn(rdnn(n4),rdnn(n9)),rdn(rdnn(n4),rdnn(n9))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2002,i_0_2012,i_0_2031,i_0_819,i_0_1413,i_0_2021,i_0_706,i_0_741,i_0_649,i_0_650,i_0_739,i_0_823,i_0_821,i_0_822,i_0_866,i_0_2062,i_0_922,i_0_509,i_0_2023,i_0_495,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2083,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_2084,plain,
~ less(n0,nn63),
inference(equality_inference,[],[2078]) ).
cnf(i_0_2085,plain,
~ less(n0,nn63),
inference(equality_inference,[],[2079]) ).
cnf(i_0_2086,plain,
~ sum(n0,nn63,nn63),
inference(equality_inference,[],[2080]) ).
cnf(i_0_2087,plain,
~ sum(n0,nn63,nn63),
inference(equality_inference,[],[2081]) ).
cnf(i_0_2088,plain,
difference(n0,n61,nn61),
inference(scs_inference,[],[i_0_2048,i_0_602]) ).
cnf(i_0_2089,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2090,plain,
~ sum(n9,nn9,nn61),
inference(scs_inference,[],[i_0_868,i_0_2048,i_0_2077,i_0_602,i_0_601]) ).
cnf(i_0_2091,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2092,plain,
~ rdn_positive_less(rdnn(n8),rdnn(n6)),
inference(scs_inference,[],[i_0_868,i_0_2048,i_0_2077,i_0_2046,i_0_821,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2093,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_2094,plain,
sum(n59,nn59,n0),
inference(scs_inference,[],[i_0_868,i_0_2048,i_0_2077,i_0_2046,i_0_651,i_0_741,i_0_821,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2095,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_2096,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n0),rdnn(n3)),
inference(scs_inference,[],[i_0_868,i_0_2048,i_0_2077,i_0_2046,i_0_651,i_0_741,i_0_821,i_0_510,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2097,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_2098,plain,
less(nn59,n0),
inference(scs_inference,[],[i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_651,i_0_741,i_0_821,i_0_510,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2099,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_2100,plain,
~ less_or_equal(n0,nn61),
inference(scs_inference,[],[i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_651,i_0_741,i_0_821,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2101,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2102,plain,
rdnn(n5) != rdnn(n8),
inference(scs_inference,[],[i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_651,i_0_741,i_0_823,i_0_821,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2103,plain,
rdnn(n9) != rdnn(n6),
inference(scs_inference,[],[i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_651,i_0_741,i_0_820,i_0_823,i_0_821,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2104,plain,
~ sum(n0,nn59,nn59),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_651,i_0_741,i_0_820,i_0_823,i_0_821,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2105,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2106,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_2107,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n5)),rdn(rdnn(n8),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2108,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2109,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_2110,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n5)),rdn(rdnn(n7),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2111,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2112,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_2113,plain,
n0 != nn59,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2114,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2115,plain,
~ less(n0,nn59),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2116,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2117,plain,
less_or_equal(nn59,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2118,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2119,plain,
~ sum(n59,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2120,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2121,plain,
( less(rdnn(n4),rdnn(n0))
| less(rdnn(n0),rdnn(n4)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_1459,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2122,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2123,plain,
nn59 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_1459,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2124,plain,
( X1 != nn61
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_1459,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2125,plain,
( X1 != n0
| ~ less(X1,nn61) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2077,i_0_819,i_0_1459,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2126,plain,
( X1 != n0
| ~ sum(X1,nn61,nn61) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2058,i_0_2077,i_0_819,i_0_1459,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2127,plain,
( X1 != nn61
| ~ sum(n0,nn61,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2058,i_0_2077,i_0_819,i_0_1459,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2128,plain,
( sum(nn59,nn59,nn59)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n9),rdnn(n5)),rdn(rdnn(n9),rdnn(n5)),rdn(rdnn(n9),rdnn(n5))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2048,i_0_2058,i_0_2077,i_0_819,i_0_1459,i_0_2046,i_0_2067,i_0_743,i_0_651,i_0_652,i_0_741,i_0_820,i_0_823,i_0_821,i_0_866,i_0_2108,i_0_510,i_0_2069,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2129,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2130,plain,
~ less(n0,nn61),
inference(equality_inference,[],[2124]) ).
cnf(i_0_2131,plain,
~ less(n0,nn61),
inference(equality_inference,[],[2125]) ).
cnf(i_0_2132,plain,
~ sum(n0,nn61,nn61),
inference(equality_inference,[],[2126]) ).
cnf(i_0_2133,plain,
~ sum(n0,nn61,nn61),
inference(equality_inference,[],[2127]) ).
cnf(i_0_2134,plain,
difference(n0,n59,nn59),
inference(scs_inference,[],[i_0_2094,i_0_602]) ).
cnf(i_0_2135,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2136,plain,
~ sum(nn9,n9,nn59),
inference(scs_inference,[],[i_0_878,i_0_2094,i_0_2123,i_0_602,i_0_601]) ).
cnf(i_0_2137,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2138,plain,
~ rdn_positive_less(rdnn(n3),rdnn(n2)),
inference(scs_inference,[],[i_0_878,i_0_2094,i_0_2123,i_0_826,i_0_1050,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2139,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_2140,plain,
sum(n57,nn57,n0),
inference(scs_inference,[],[i_0_878,i_0_2094,i_0_2123,i_0_653,i_0_743,i_0_826,i_0_1050,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2141,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_2142,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n7),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_2094,i_0_2123,i_0_653,i_0_743,i_0_826,i_0_1050,i_0_513,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2143,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_2144,plain,
less(nn57,n0),
inference(scs_inference,[],[i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_653,i_0_743,i_0_826,i_0_1050,i_0_513,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2145,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_2146,plain,
~ less_or_equal(n0,nn59),
inference(scs_inference,[],[i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_653,i_0_743,i_0_826,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2147,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2148,plain,
rdnn(n1) != rdnn(n3),
inference(scs_inference,[],[i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_653,i_0_743,i_0_827,i_0_826,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2149,plain,
rdnn(n4) != rdnn(n2),
inference(scs_inference,[],[i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_653,i_0_743,i_0_827,i_0_825,i_0_826,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2150,plain,
~ sum(n0,nn57,nn57),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_653,i_0_743,i_0_827,i_0_825,i_0_826,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2151,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2152,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_2153,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n5)),rdn(rdnn(n6),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2154,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2155,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_2156,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n5)),rdn(rdnn(n5),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2157,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2158,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_2159,plain,
n0 != nn57,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2160,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2161,plain,
~ less(n0,nn57),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2162,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2163,plain,
less_or_equal(nn57,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2164,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2165,plain,
~ sum(n57,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2166,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2167,plain,
( less(rdnn(n5),rdnn(n0))
| less(rdnn(n0),rdnn(n5)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_1505,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2168,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2169,plain,
nn57 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_1505,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2170,plain,
( X1 != nn59
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_1505,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2171,plain,
( X1 != n0
| ~ less(X1,nn59) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2123,i_0_819,i_0_1505,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2172,plain,
( X1 != n0
| ~ sum(X1,nn59,nn59) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2104,i_0_2123,i_0_819,i_0_1505,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2173,plain,
( X1 != nn59
| ~ sum(n0,nn59,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2104,i_0_2123,i_0_819,i_0_1505,i_0_2113,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2174,plain,
( sum(n92,n92,n92)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n2),rdnn(n9)),rdn(rdnn(n2),rdnn(n9)),rdn(rdnn(n2),rdnn(n9))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2094,i_0_2104,i_0_2123,i_0_819,i_0_1505,i_0_2113,i_0_708,i_0_745,i_0_653,i_0_654,i_0_743,i_0_827,i_0_825,i_0_826,i_0_866,i_0_2154,i_0_1050,i_0_513,i_0_2115,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2175,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_2176,plain,
~ less(n0,nn59),
inference(equality_inference,[],[2170]) ).
cnf(i_0_2177,plain,
~ less(n0,nn59),
inference(equality_inference,[],[2171]) ).
cnf(i_0_2178,plain,
~ sum(n0,nn59,nn59),
inference(equality_inference,[],[2172]) ).
cnf(i_0_2179,plain,
~ sum(n0,nn59,nn59),
inference(equality_inference,[],[2173]) ).
cnf(i_0_2180,plain,
difference(n0,n57,nn57),
inference(scs_inference,[],[i_0_2140,i_0_602]) ).
cnf(i_0_2181,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2182,plain,
~ sum(n9,nn9,nn57),
inference(scs_inference,[],[i_0_868,i_0_2140,i_0_2169,i_0_602,i_0_601]) ).
cnf(i_0_2183,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2184,plain,
~ rdn_positive_less(rdnn(n4),rdnn(n2)),
inference(scs_inference,[],[i_0_868,i_0_2140,i_0_2169,i_0_2138,i_0_825,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2185,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_2186,plain,
sum(n55,nn55,n0),
inference(scs_inference,[],[i_0_868,i_0_2140,i_0_2169,i_0_2138,i_0_655,i_0_745,i_0_825,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2187,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_2188,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n6),rdnn(n8)),
inference(scs_inference,[],[i_0_868,i_0_2140,i_0_2169,i_0_2138,i_0_655,i_0_745,i_0_825,i_0_514,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2189,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_2190,plain,
less(nn55,n0),
inference(scs_inference,[],[i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_655,i_0_745,i_0_825,i_0_514,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2191,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_2192,plain,
~ less_or_equal(n0,nn57),
inference(scs_inference,[],[i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_655,i_0_745,i_0_825,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2193,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2194,plain,
rdnn(n1) != rdnn(n4),
inference(scs_inference,[],[i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_655,i_0_745,i_0_827,i_0_825,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2195,plain,
rdnn(n5) != rdnn(n2),
inference(scs_inference,[],[i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_655,i_0_745,i_0_824,i_0_827,i_0_825,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2196,plain,
~ sum(n0,nn55,nn55),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_655,i_0_745,i_0_824,i_0_827,i_0_825,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2197,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2198,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_2199,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n5)),rdn(rdnn(n4),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2200,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2201,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_2202,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n5)),rdn(rdnn(n3),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2203,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2204,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_2205,plain,
n0 != nn55,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2206,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2207,plain,
~ less(n0,nn55),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2208,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2209,plain,
less_or_equal(nn55,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2210,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2211,plain,
~ sum(n55,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2212,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2213,plain,
( less(rdnn(n6),rdnn(n0))
| less(rdnn(n0),rdnn(n6)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_1551,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2214,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2215,plain,
nn55 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_1551,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2216,plain,
( X1 != nn57
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_1551,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2217,plain,
( X1 != n0
| ~ less(X1,nn57) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2169,i_0_819,i_0_1551,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2218,plain,
( X1 != n0
| ~ sum(X1,nn57,nn57) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2150,i_0_2169,i_0_819,i_0_1551,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2219,plain,
( X1 != nn57
| ~ sum(n0,nn57,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2150,i_0_2169,i_0_819,i_0_1551,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2220,plain,
( sum(nn55,nn55,nn55)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n5),rdnn(n5)),rdn(rdnn(n5),rdnn(n5)),rdn(rdnn(n5),rdnn(n5))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2140,i_0_2150,i_0_2169,i_0_819,i_0_1551,i_0_2138,i_0_2159,i_0_747,i_0_655,i_0_656,i_0_745,i_0_824,i_0_827,i_0_825,i_0_866,i_0_2200,i_0_514,i_0_2161,i_0_460,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2221,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2222,plain,
~ less(n0,nn57),
inference(equality_inference,[],[2216]) ).
cnf(i_0_2223,plain,
~ less(n0,nn57),
inference(equality_inference,[],[2217]) ).
cnf(i_0_2224,plain,
~ sum(n0,nn57,nn57),
inference(equality_inference,[],[2218]) ).
cnf(i_0_2225,plain,
~ sum(n0,nn57,nn57),
inference(equality_inference,[],[2219]) ).
cnf(i_0_2226,plain,
difference(n0,n55,nn55),
inference(scs_inference,[],[i_0_2186,i_0_602]) ).
cnf(i_0_2227,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2228,plain,
~ sum(nn9,n9,nn55),
inference(scs_inference,[],[i_0_878,i_0_2186,i_0_2215,i_0_602,i_0_601]) ).
cnf(i_0_2229,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2230,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n2)),
inference(scs_inference,[],[i_0_878,i_0_2186,i_0_2215,i_0_2184,i_0_824,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2231,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_2232,plain,
sum(n53,nn53,n0),
inference(scs_inference,[],[i_0_878,i_0_2186,i_0_2215,i_0_2184,i_0_657,i_0_747,i_0_824,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2233,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_2234,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n2),rdnn(n5),rdnn(n8)),
inference(scs_inference,[],[i_0_878,i_0_2186,i_0_2215,i_0_2184,i_0_657,i_0_747,i_0_824,i_0_515,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2235,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_2236,plain,
less(nn53,n0),
inference(scs_inference,[],[i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_657,i_0_747,i_0_824,i_0_515,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2237,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_2238,plain,
~ less_or_equal(n0,nn55),
inference(scs_inference,[],[i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_657,i_0_747,i_0_824,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2239,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2240,plain,
rdnn(n1) != rdnn(n5),
inference(scs_inference,[],[i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_657,i_0_747,i_0_824,i_0_827,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2241,plain,
rdnn(n6) != rdnn(n2),
inference(scs_inference,[],[i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_657,i_0_747,i_0_824,i_0_827,i_0_823,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2242,plain,
~ sum(n0,nn53,nn53),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_657,i_0_747,i_0_824,i_0_827,i_0_823,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2243,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2244,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_2245,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n5)),rdn(rdnn(n2),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2246,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2247,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_2248,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n5)),rdn(rdnn(n1),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2249,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2250,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_2251,plain,
n0 != nn53,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2252,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2253,plain,
~ less(n0,nn53),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2254,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2255,plain,
less_or_equal(nn53,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2256,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2257,plain,
~ sum(n53,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2258,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2259,plain,
( less(rdnn(n7),rdnn(n0))
| less(rdnn(n0),rdnn(n7)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_1597,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2260,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2261,plain,
nn53 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_1597,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2262,plain,
( X1 != nn55
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_1597,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2263,plain,
( X1 != n0
| ~ less(X1,nn55) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2215,i_0_819,i_0_1597,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2264,plain,
( X1 != n0
| ~ sum(X1,nn55,nn55) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2196,i_0_2215,i_0_819,i_0_1597,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2265,plain,
( X1 != nn55
| ~ sum(n0,nn55,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2196,i_0_2215,i_0_819,i_0_1597,i_0_2184,i_0_2205,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2266,plain,
( sum(n90,n90,n90)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n0),rdnn(n9)),rdn(rdnn(n0),rdnn(n9)),rdn(rdnn(n0),rdnn(n9))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2186,i_0_2196,i_0_2215,i_0_819,i_0_1597,i_0_2184,i_0_2205,i_0_710,i_0_749,i_0_657,i_0_658,i_0_747,i_0_824,i_0_827,i_0_823,i_0_866,i_0_2246,i_0_515,i_0_2207,i_0_469,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2267,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_2268,plain,
~ less(n0,nn55),
inference(equality_inference,[],[2262]) ).
cnf(i_0_2269,plain,
~ less(n0,nn55),
inference(equality_inference,[],[2263]) ).
cnf(i_0_2270,plain,
~ sum(n0,nn55,nn55),
inference(equality_inference,[],[2264]) ).
cnf(i_0_2271,plain,
~ sum(n0,nn55,nn55),
inference(equality_inference,[],[2265]) ).
cnf(i_0_2272,plain,
difference(n0,n53,nn53),
inference(scs_inference,[],[i_0_2232,i_0_602]) ).
cnf(i_0_2273,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2274,plain,
~ sum(n9,nn9,nn53),
inference(scs_inference,[],[i_0_868,i_0_2232,i_0_2261,i_0_602,i_0_601]) ).
cnf(i_0_2275,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2276,plain,
~ rdn_positive_less(rdnn(n6),rdnn(n2)),
inference(scs_inference,[],[i_0_868,i_0_2232,i_0_2261,i_0_2230,i_0_823,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2277,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_2278,plain,
sum(n51,nn51,n0),
inference(scs_inference,[],[i_0_868,i_0_2232,i_0_2261,i_0_2230,i_0_659,i_0_749,i_0_823,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2279,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_2280,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n4),rdnn(n6)),
inference(scs_inference,[],[i_0_868,i_0_2232,i_0_2261,i_0_2230,i_0_659,i_0_749,i_0_823,i_0_516,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2281,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_2282,plain,
less(nn51,n0),
inference(scs_inference,[],[i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_659,i_0_749,i_0_823,i_0_516,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2283,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_2284,plain,
~ less_or_equal(n0,nn53),
inference(scs_inference,[],[i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_659,i_0_749,i_0_823,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2285,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2286,plain,
rdnn(n1) != rdnn(n6),
inference(scs_inference,[],[i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_659,i_0_749,i_0_827,i_0_823,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2287,plain,
rdnn(n7) != rdnn(n2),
inference(scs_inference,[],[i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_659,i_0_749,i_0_822,i_0_827,i_0_823,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2288,plain,
~ sum(n0,nn51,nn51),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_659,i_0_749,i_0_822,i_0_827,i_0_823,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2289,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2290,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_2291,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n5)),rdn(rdnn(n0),rdnn(n5))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2292,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2293,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_2294,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n4)),rdn(rdnn(n9),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2295,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2296,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_2297,plain,
n0 != nn51,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2298,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2299,plain,
~ less(n0,nn51),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2300,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2301,plain,
less_or_equal(nn51,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2302,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2303,plain,
~ sum(n51,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2304,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2305,plain,
( less(rdnn(n8),rdnn(n0))
| less(rdnn(n0),rdnn(n8)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_1643,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2306,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2307,plain,
nn51 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_1643,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2308,plain,
( X1 != nn53
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_1643,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2309,plain,
( X1 != n0
| ~ less(X1,nn53) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2261,i_0_819,i_0_1643,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2310,plain,
( X1 != n0
| ~ sum(X1,nn53,nn53) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2242,i_0_2261,i_0_819,i_0_1643,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2311,plain,
( X1 != nn53
| ~ sum(n0,nn53,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2242,i_0_2261,i_0_819,i_0_1643,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2312,plain,
( sum(nn51,nn51,nn51)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n1),rdnn(n5)),rdn(rdnn(n1),rdnn(n5)),rdn(rdnn(n1),rdnn(n5))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2232,i_0_2242,i_0_2261,i_0_819,i_0_1643,i_0_2230,i_0_2251,i_0_751,i_0_659,i_0_660,i_0_749,i_0_822,i_0_827,i_0_823,i_0_866,i_0_2292,i_0_516,i_0_2253,i_0_480,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2313,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2314,plain,
~ less(n0,nn53),
inference(equality_inference,[],[2308]) ).
cnf(i_0_2315,plain,
~ less(n0,nn53),
inference(equality_inference,[],[2309]) ).
cnf(i_0_2316,plain,
~ sum(n0,nn53,nn53),
inference(equality_inference,[],[2310]) ).
cnf(i_0_2317,plain,
~ sum(n0,nn53,nn53),
inference(equality_inference,[],[2311]) ).
cnf(i_0_2318,plain,
difference(n0,n51,nn51),
inference(scs_inference,[],[i_0_2278,i_0_602]) ).
cnf(i_0_2319,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2320,plain,
~ sum(nn9,n9,nn51),
inference(scs_inference,[],[i_0_878,i_0_2278,i_0_2307,i_0_602,i_0_601]) ).
cnf(i_0_2321,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2322,plain,
~ rdn_positive_less(rdnn(n7),rdnn(n2)),
inference(scs_inference,[],[i_0_878,i_0_2278,i_0_2307,i_0_2276,i_0_822,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2323,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_2324,plain,
sum(n49,nn49,n0),
inference(scs_inference,[],[i_0_878,i_0_2278,i_0_2307,i_0_2276,i_0_661,i_0_751,i_0_822,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2325,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_2326,plain,
rdn_add_with_carry(rdnn(n2),rdnn(n2),rdnn(n3),rdnn(n7)),
inference(scs_inference,[],[i_0_878,i_0_2278,i_0_2307,i_0_2276,i_0_661,i_0_751,i_0_822,i_0_517,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2327,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_2328,plain,
less(nn49,n0),
inference(scs_inference,[],[i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_661,i_0_751,i_0_822,i_0_517,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2329,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_2330,plain,
~ less_or_equal(n0,nn51),
inference(scs_inference,[],[i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_661,i_0_751,i_0_822,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2331,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2332,plain,
rdnn(n1) != rdnn(n7),
inference(scs_inference,[],[i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_661,i_0_751,i_0_822,i_0_827,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2333,plain,
rdnn(n8) != rdnn(n2),
inference(scs_inference,[],[i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_661,i_0_751,i_0_821,i_0_822,i_0_827,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2334,plain,
~ sum(n0,nn49,nn49),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_661,i_0_751,i_0_821,i_0_822,i_0_827,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2335,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2336,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_2337,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n4)),rdn(rdnn(n8),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2338,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2339,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_2340,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n4)),rdn(rdnn(n7),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2341,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2342,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_2343,plain,
n0 != nn49,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2344,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2345,plain,
~ less(n0,nn49),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2346,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2347,plain,
less_or_equal(nn49,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2348,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2349,plain,
~ sum(n49,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2350,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2351,plain,
( less(rdnn(n8),rdnn(n6))
| less(rdnn(n6),rdnn(n8)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2010,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2352,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2353,plain,
nn49 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2010,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2354,plain,
( X1 != nn51
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2010,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2355,plain,
( X1 != n0
| ~ less(X1,nn51) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2307,i_0_819,i_0_2010,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2356,plain,
( X1 != n0
| ~ sum(X1,nn51,nn51) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2288,i_0_2307,i_0_819,i_0_2010,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2357,plain,
( X1 != nn51
| ~ sum(n0,nn51,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2288,i_0_2307,i_0_819,i_0_2010,i_0_2276,i_0_2297,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2358,plain,
( sum(n88,n88,n88)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n8),rdnn(n8)),rdn(rdnn(n8),rdnn(n8)),rdn(rdnn(n8),rdnn(n8))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2278,i_0_2288,i_0_2307,i_0_819,i_0_2010,i_0_2276,i_0_2297,i_0_712,i_0_753,i_0_661,i_0_662,i_0_751,i_0_821,i_0_822,i_0_827,i_0_866,i_0_2338,i_0_517,i_0_2299,i_0_488,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2359,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_2360,plain,
~ less(n0,nn51),
inference(equality_inference,[],[2354]) ).
cnf(i_0_2361,plain,
~ less(n0,nn51),
inference(equality_inference,[],[2355]) ).
cnf(i_0_2362,plain,
~ sum(n0,nn51,nn51),
inference(equality_inference,[],[2356]) ).
cnf(i_0_2363,plain,
~ sum(n0,nn51,nn51),
inference(equality_inference,[],[2357]) ).
cnf(i_0_2364,plain,
difference(n0,n49,nn49),
inference(scs_inference,[],[i_0_2324,i_0_602]) ).
cnf(i_0_2365,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2366,plain,
~ sum(n9,nn9,nn49),
inference(scs_inference,[],[i_0_868,i_0_2324,i_0_2353,i_0_602,i_0_601]) ).
cnf(i_0_2367,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2368,plain,
~ rdn_positive_less(rdnn(n8),rdnn(n2)),
inference(scs_inference,[],[i_0_868,i_0_2324,i_0_2353,i_0_2322,i_0_821,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2369,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_2370,plain,
sum(n47,nn47,n0),
inference(scs_inference,[],[i_0_868,i_0_2324,i_0_2353,i_0_2322,i_0_663,i_0_753,i_0_821,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2371,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_2372,plain,
rdn_add_with_carry(rdnn(n4),rdnn(n2),rdnn(n2),rdnn(n8)),
inference(scs_inference,[],[i_0_868,i_0_2324,i_0_2353,i_0_2322,i_0_663,i_0_753,i_0_821,i_0_518,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2373,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_2374,plain,
less(nn47,n0),
inference(scs_inference,[],[i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_663,i_0_753,i_0_821,i_0_518,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2375,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_2376,plain,
~ less_or_equal(n0,nn49),
inference(scs_inference,[],[i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_663,i_0_753,i_0_821,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2377,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2378,plain,
rdnn(n1) != rdnn(n8),
inference(scs_inference,[],[i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_663,i_0_753,i_0_821,i_0_827,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2379,plain,
rdnn(n9) != rdnn(n2),
inference(scs_inference,[],[i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_663,i_0_753,i_0_820,i_0_821,i_0_827,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2380,plain,
~ sum(n0,nn47,nn47),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_663,i_0_753,i_0_820,i_0_821,i_0_827,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2381,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2382,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_2383,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n4)),rdn(rdnn(n6),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2384,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2385,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_2386,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n4)),rdn(rdnn(n5),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2387,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2388,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_2389,plain,
n0 != nn47,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2390,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2391,plain,
~ less(n0,nn47),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2392,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2393,plain,
less_or_equal(nn47,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2394,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2395,plain,
~ sum(n47,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2396,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2397,plain,
( less(rdnn(n7),rdnn(n5))
| less(rdnn(n5),rdnn(n7)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2056,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2398,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2399,plain,
nn47 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2056,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2400,plain,
( X1 != nn49
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2056,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2401,plain,
( X1 != n0
| ~ less(X1,nn49) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2353,i_0_819,i_0_2056,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2402,plain,
( X1 != n0
| ~ sum(X1,nn49,nn49) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2334,i_0_2353,i_0_819,i_0_2056,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2403,plain,
( X1 != nn49
| ~ sum(n0,nn49,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2334,i_0_2353,i_0_819,i_0_2056,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2404,plain,
( sum(nn47,nn47,nn47)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n7),rdnn(n4)),rdn(rdnn(n7),rdnn(n4)),rdn(rdnn(n7),rdnn(n4))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2324,i_0_2334,i_0_2353,i_0_819,i_0_2056,i_0_2322,i_0_2343,i_0_755,i_0_663,i_0_664,i_0_753,i_0_820,i_0_821,i_0_827,i_0_866,i_0_2384,i_0_518,i_0_2345,i_0_496,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2405,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2406,plain,
~ less(n0,nn49),
inference(equality_inference,[],[2400]) ).
cnf(i_0_2407,plain,
~ less(n0,nn49),
inference(equality_inference,[],[2401]) ).
cnf(i_0_2408,plain,
~ sum(n0,nn49,nn49),
inference(equality_inference,[],[2402]) ).
cnf(i_0_2409,plain,
~ sum(n0,nn49,nn49),
inference(equality_inference,[],[2403]) ).
cnf(i_0_2410,plain,
difference(n0,n47,nn47),
inference(scs_inference,[],[i_0_2370,i_0_602]) ).
cnf(i_0_2411,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2412,plain,
~ sum(nn9,n9,nn47),
inference(scs_inference,[],[i_0_878,i_0_2370,i_0_2399,i_0_602,i_0_601]) ).
cnf(i_0_2413,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2414,plain,
~ rdn_positive_less(rdnn(n6),rdnn(n5)),
inference(scs_inference,[],[i_0_878,i_0_2370,i_0_2399,i_0_823,i_0_959,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2415,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_2416,plain,
sum(n45,nn45,n0),
inference(scs_inference,[],[i_0_878,i_0_2370,i_0_2399,i_0_665,i_0_755,i_0_823,i_0_959,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2417,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_2418,plain,
rdn_add_with_carry(rdnn(n6),rdnn(n2),rdnn(n1),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_2370,i_0_2399,i_0_665,i_0_755,i_0_823,i_0_959,i_0_519,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2419,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_2420,plain,
less(nn45,n0),
inference(scs_inference,[],[i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_665,i_0_755,i_0_823,i_0_959,i_0_519,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2421,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_2422,plain,
~ less_or_equal(n0,nn47),
inference(scs_inference,[],[i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_665,i_0_755,i_0_823,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2423,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2424,plain,
rdnn(n4) != rdnn(n6),
inference(scs_inference,[],[i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_665,i_0_755,i_0_824,i_0_823,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2425,plain,
rdnn(n7) != rdnn(n5),
inference(scs_inference,[],[i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_665,i_0_755,i_0_824,i_0_822,i_0_823,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2426,plain,
~ sum(n0,nn45,nn45),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_665,i_0_755,i_0_824,i_0_822,i_0_823,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2427,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2428,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_2429,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n4)),rdn(rdnn(n4),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2430,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2431,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_2432,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n4)),rdn(rdnn(n3),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2433,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2434,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_2435,plain,
n0 != nn45,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2436,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2437,plain,
~ less(n0,nn45),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2438,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2439,plain,
less_or_equal(nn45,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2440,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2441,plain,
~ sum(n45,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2442,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2443,plain,
( less(rdnn(n8),rdnn(n5))
| less(rdnn(n5),rdnn(n8)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2102,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2444,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2445,plain,
nn45 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2102,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2446,plain,
( X1 != nn47
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2102,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2447,plain,
( X1 != n0
| ~ less(X1,nn47) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2399,i_0_819,i_0_2102,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2448,plain,
( X1 != n0
| ~ sum(X1,nn47,nn47) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2380,i_0_2399,i_0_819,i_0_2102,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2449,plain,
( X1 != nn47
| ~ sum(n0,nn47,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2380,i_0_2399,i_0_819,i_0_2102,i_0_2389,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2450,plain,
( sum(n86,n86,n86)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n6),rdnn(n8)),rdn(rdnn(n6),rdnn(n8)),rdn(rdnn(n6),rdnn(n8))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2370,i_0_2380,i_0_2399,i_0_819,i_0_2102,i_0_2389,i_0_714,i_0_757,i_0_665,i_0_666,i_0_755,i_0_824,i_0_822,i_0_823,i_0_866,i_0_2430,i_0_959,i_0_519,i_0_2391,i_0_504,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2451,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_2452,plain,
~ less(n0,nn47),
inference(equality_inference,[],[2446]) ).
cnf(i_0_2453,plain,
~ less(n0,nn47),
inference(equality_inference,[],[2447]) ).
cnf(i_0_2454,plain,
~ sum(n0,nn47,nn47),
inference(equality_inference,[],[2448]) ).
cnf(i_0_2455,plain,
~ sum(n0,nn47,nn47),
inference(equality_inference,[],[2449]) ).
cnf(i_0_2456,plain,
difference(n0,n45,nn45),
inference(scs_inference,[],[i_0_2416,i_0_602]) ).
cnf(i_0_2457,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2458,plain,
~ sum(n9,nn9,nn45),
inference(scs_inference,[],[i_0_868,i_0_2416,i_0_2445,i_0_602,i_0_601]) ).
cnf(i_0_2459,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2460,plain,
~ rdn_positive_less(rdnn(n7),rdnn(n5)),
inference(scs_inference,[],[i_0_868,i_0_2416,i_0_2445,i_0_2414,i_0_822,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2461,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_2462,plain,
sum(n43,nn43,n0),
inference(scs_inference,[],[i_0_868,i_0_2416,i_0_2445,i_0_2414,i_0_667,i_0_757,i_0_822,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2463,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_2464,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n0),rdnn(n2)),
inference(scs_inference,[],[i_0_868,i_0_2416,i_0_2445,i_0_2414,i_0_667,i_0_757,i_0_822,i_0_520,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2465,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_2466,plain,
less(nn43,n0),
inference(scs_inference,[],[i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_667,i_0_757,i_0_822,i_0_520,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2467,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_2468,plain,
~ less_or_equal(n0,nn45),
inference(scs_inference,[],[i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_667,i_0_757,i_0_822,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2469,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2470,plain,
rdnn(n4) != rdnn(n7),
inference(scs_inference,[],[i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_667,i_0_757,i_0_824,i_0_822,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2471,plain,
rdnn(n8) != rdnn(n5),
inference(scs_inference,[],[i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_667,i_0_757,i_0_824,i_0_821,i_0_822,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2472,plain,
~ sum(n0,nn43,nn43),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_667,i_0_757,i_0_824,i_0_821,i_0_822,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2473,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2474,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_2475,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n4)),rdn(rdnn(n2),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2476,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2477,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_2478,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n4)),rdn(rdnn(n1),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2479,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2480,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_2481,plain,
n0 != nn43,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2482,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2483,plain,
~ less(n0,nn43),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2484,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2485,plain,
less_or_equal(nn43,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2486,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2487,plain,
~ sum(n43,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2488,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2489,plain,
( less(rdnn(n2),rdnn(n4))
| less(rdnn(n4),rdnn(n2)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2149,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2490,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2491,plain,
nn43 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2149,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2492,plain,
( X1 != nn45
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2149,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2493,plain,
( X1 != n0
| ~ less(X1,nn45) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2445,i_0_819,i_0_2149,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2494,plain,
( X1 != n0
| ~ sum(X1,nn45,nn45) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2426,i_0_2445,i_0_819,i_0_2149,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2495,plain,
( X1 != nn45
| ~ sum(n0,nn45,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2426,i_0_2445,i_0_819,i_0_2149,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2496,plain,
( sum(nn43,nn43,nn43)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n4)),rdn(rdnn(n3),rdnn(n4)),rdn(rdnn(n3),rdnn(n4))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2416,i_0_2426,i_0_2445,i_0_819,i_0_2149,i_0_2414,i_0_2435,i_0_759,i_0_667,i_0_668,i_0_757,i_0_824,i_0_821,i_0_822,i_0_866,i_0_2476,i_0_520,i_0_2437,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2497,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2498,plain,
~ less(n0,nn45),
inference(equality_inference,[],[2492]) ).
cnf(i_0_2499,plain,
~ less(n0,nn45),
inference(equality_inference,[],[2493]) ).
cnf(i_0_2500,plain,
~ sum(n0,nn45,nn45),
inference(equality_inference,[],[2494]) ).
cnf(i_0_2501,plain,
~ sum(n0,nn45,nn45),
inference(equality_inference,[],[2495]) ).
cnf(i_0_2502,plain,
difference(n0,n43,nn43),
inference(scs_inference,[],[i_0_2462,i_0_602]) ).
cnf(i_0_2503,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2504,plain,
~ sum(nn9,n9,nn43),
inference(scs_inference,[],[i_0_878,i_0_2462,i_0_2491,i_0_602,i_0_601]) ).
cnf(i_0_2505,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2506,plain,
~ rdn_positive_less(rdnn(n8),rdnn(n5)),
inference(scs_inference,[],[i_0_878,i_0_2462,i_0_2491,i_0_2460,i_0_821,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2507,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_2508,plain,
sum(n41,nn41,n0),
inference(scs_inference,[],[i_0_878,i_0_2462,i_0_2491,i_0_2460,i_0_669,i_0_759,i_0_821,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2509,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_2510,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n1),rdnn(n8),rdnn(n9)),
inference(scs_inference,[],[i_0_878,i_0_2462,i_0_2491,i_0_2460,i_0_669,i_0_759,i_0_821,i_0_522,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2511,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_2512,plain,
less(nn41,n0),
inference(scs_inference,[],[i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_669,i_0_759,i_0_821,i_0_522,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2513,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_2514,plain,
~ less_or_equal(n0,nn43),
inference(scs_inference,[],[i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_669,i_0_759,i_0_821,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2515,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2516,plain,
rdnn(n4) != rdnn(n8),
inference(scs_inference,[],[i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_669,i_0_759,i_0_824,i_0_821,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2517,plain,
rdnn(n9) != rdnn(n5),
inference(scs_inference,[],[i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_669,i_0_759,i_0_820,i_0_824,i_0_821,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2518,plain,
~ sum(n0,nn41,nn41),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_669,i_0_759,i_0_820,i_0_824,i_0_821,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2519,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2520,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_2521,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n4)),rdn(rdnn(n0),rdnn(n4))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2522,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2523,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_2524,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n3)),rdn(rdnn(n9),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2525,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2526,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_2527,plain,
n0 != nn41,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2528,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2529,plain,
~ less(n0,nn41),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2530,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2531,plain,
less_or_equal(nn41,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2532,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2533,plain,
~ sum(n41,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2534,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2535,plain,
( less(rdnn(n2),rdnn(n5))
| less(rdnn(n5),rdnn(n2)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2195,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2536,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2537,plain,
nn41 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2195,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2538,plain,
( X1 != nn43
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2195,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2539,plain,
( X1 != n0
| ~ less(X1,nn43) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2491,i_0_819,i_0_2195,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2540,plain,
( X1 != n0
| ~ sum(X1,nn43,nn43) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2472,i_0_2491,i_0_819,i_0_2195,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2541,plain,
( X1 != nn43
| ~ sum(n0,nn43,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2472,i_0_2491,i_0_819,i_0_2195,i_0_2460,i_0_2481,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2542,plain,
( sum(n84,n84,n84)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n4),rdnn(n8)),rdn(rdnn(n4),rdnn(n8)),rdn(rdnn(n4),rdnn(n8))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2462,i_0_2472,i_0_2491,i_0_819,i_0_2195,i_0_2460,i_0_2481,i_0_716,i_0_761,i_0_669,i_0_670,i_0_759,i_0_820,i_0_824,i_0_821,i_0_866,i_0_2522,i_0_522,i_0_2483,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2543,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_2544,plain,
~ less(n0,nn43),
inference(equality_inference,[],[2538]) ).
cnf(i_0_2545,plain,
~ less(n0,nn43),
inference(equality_inference,[],[2539]) ).
cnf(i_0_2546,plain,
~ sum(n0,nn43,nn43),
inference(equality_inference,[],[2540]) ).
cnf(i_0_2547,plain,
~ sum(n0,nn43,nn43),
inference(equality_inference,[],[2541]) ).
cnf(i_0_2548,plain,
difference(n0,n41,nn41),
inference(scs_inference,[],[i_0_2508,i_0_602]) ).
cnf(i_0_2549,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2550,plain,
~ sum(n9,nn9,nn41),
inference(scs_inference,[],[i_0_868,i_0_2508,i_0_2537,i_0_602,i_0_601]) ).
cnf(i_0_2551,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2552,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n4)),
inference(scs_inference,[],[i_0_868,i_0_2508,i_0_2537,i_0_824,i_0_1004,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2553,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_2554,plain,
sum(n39,nn39,n0),
inference(scs_inference,[],[i_0_868,i_0_2508,i_0_2537,i_0_671,i_0_761,i_0_824,i_0_1004,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2555,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_2556,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n1),rdnn(n7),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_2508,i_0_2537,i_0_671,i_0_761,i_0_824,i_0_1004,i_0_523,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2557,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_2558,plain,
less(nn39,n0),
inference(scs_inference,[],[i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_671,i_0_761,i_0_824,i_0_1004,i_0_523,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2559,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_2560,plain,
~ less_or_equal(n0,nn41),
inference(scs_inference,[],[i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_671,i_0_761,i_0_824,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2561,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2562,plain,
rdnn(n3) != rdnn(n5),
inference(scs_inference,[],[i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_671,i_0_761,i_0_825,i_0_824,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2563,plain,
rdnn(n6) != rdnn(n4),
inference(scs_inference,[],[i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_671,i_0_761,i_0_825,i_0_823,i_0_824,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2564,plain,
~ sum(n0,nn39,nn39),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_671,i_0_761,i_0_825,i_0_823,i_0_824,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2565,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
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,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n3)),rdn(rdnn(n8),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2568,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2569,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_2570,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n3)),rdn(rdnn(n7),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2571,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2572,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_2573,plain,
n0 != nn39,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2574,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2575,plain,
~ less(n0,nn39),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2576,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2577,plain,
less_or_equal(nn39,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2578,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2579,plain,
~ sum(n39,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2580,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2581,plain,
( less(rdnn(n2),rdnn(n6))
| less(rdnn(n6),rdnn(n2)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2241,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2582,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2583,plain,
nn39 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2241,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2584,plain,
( X1 != nn41
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2241,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2585,plain,
( X1 != n0
| ~ less(X1,nn41) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2537,i_0_819,i_0_2241,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2586,plain,
( X1 != n0
| ~ sum(X1,nn41,nn41) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2518,i_0_2537,i_0_819,i_0_2241,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2587,plain,
( X1 != nn41
| ~ sum(n0,nn41,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2518,i_0_2537,i_0_819,i_0_2241,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2588,plain,
( sum(nn39,nn39,nn39)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n9),rdnn(n3)),rdn(rdnn(n9),rdnn(n3)),rdn(rdnn(n9),rdnn(n3))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2508,i_0_2518,i_0_2537,i_0_819,i_0_2241,i_0_2527,i_0_763,i_0_671,i_0_672,i_0_761,i_0_825,i_0_823,i_0_824,i_0_866,i_0_2568,i_0_1004,i_0_523,i_0_2529,i_0_459,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2589,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2590,plain,
~ less(n0,nn41),
inference(equality_inference,[],[2584]) ).
cnf(i_0_2591,plain,
~ less(n0,nn41),
inference(equality_inference,[],[2585]) ).
cnf(i_0_2592,plain,
~ sum(n0,nn41,nn41),
inference(equality_inference,[],[2586]) ).
cnf(i_0_2593,plain,
~ sum(n0,nn41,nn41),
inference(equality_inference,[],[2587]) ).
cnf(i_0_2594,plain,
difference(n0,n39,nn39),
inference(scs_inference,[],[i_0_2554,i_0_602]) ).
cnf(i_0_2595,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2596,plain,
~ sum(nn9,n9,nn39),
inference(scs_inference,[],[i_0_878,i_0_2554,i_0_2583,i_0_602,i_0_601]) ).
cnf(i_0_2597,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2598,plain,
~ rdn_positive_less(rdnn(n6),rdnn(n4)),
inference(scs_inference,[],[i_0_878,i_0_2554,i_0_2583,i_0_2552,i_0_823,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2599,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_2600,plain,
sum(n37,nn37,n0),
inference(scs_inference,[],[i_0_878,i_0_2554,i_0_2583,i_0_2552,i_0_673,i_0_763,i_0_823,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2601,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_2602,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n1),rdnn(n6),rdnn(n7)),
inference(scs_inference,[],[i_0_878,i_0_2554,i_0_2583,i_0_2552,i_0_673,i_0_763,i_0_823,i_0_524,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2603,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_2604,plain,
less(nn37,n0),
inference(scs_inference,[],[i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_673,i_0_763,i_0_823,i_0_524,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2605,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_2606,plain,
~ less_or_equal(n0,nn39),
inference(scs_inference,[],[i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_673,i_0_763,i_0_823,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2607,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2608,plain,
rdnn(n3) != rdnn(n6),
inference(scs_inference,[],[i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_673,i_0_763,i_0_825,i_0_823,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2609,plain,
rdnn(n7) != rdnn(n4),
inference(scs_inference,[],[i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_673,i_0_763,i_0_825,i_0_822,i_0_823,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2610,plain,
~ sum(n0,nn37,nn37),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_673,i_0_763,i_0_825,i_0_822,i_0_823,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2611,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2612,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_2613,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n3)),rdn(rdnn(n6),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2614,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2615,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_2616,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n3)),rdn(rdnn(n5),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2617,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2618,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_2619,plain,
n0 != nn37,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2620,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2621,plain,
~ less(n0,nn37),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2622,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2623,plain,
less_or_equal(nn37,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2624,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2625,plain,
~ sum(n37,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2626,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2627,plain,
( less(rdnn(n2),rdnn(n7))
| less(rdnn(n7),rdnn(n2)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2287,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2628,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2629,plain,
nn37 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2287,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2630,plain,
( X1 != nn39
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2287,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2631,plain,
( X1 != n0
| ~ less(X1,nn39) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2583,i_0_819,i_0_2287,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2632,plain,
( X1 != n0
| ~ sum(X1,nn39,nn39) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2564,i_0_2583,i_0_819,i_0_2287,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2633,plain,
( X1 != nn39
| ~ sum(n0,nn39,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2564,i_0_2583,i_0_819,i_0_2287,i_0_2552,i_0_2573,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2634,plain,
( sum(n82,n82,n82)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n2),rdnn(n8)),rdn(rdnn(n2),rdnn(n8)),rdn(rdnn(n2),rdnn(n8))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2554,i_0_2564,i_0_2583,i_0_819,i_0_2287,i_0_2552,i_0_2573,i_0_718,i_0_765,i_0_673,i_0_674,i_0_763,i_0_825,i_0_822,i_0_823,i_0_866,i_0_2614,i_0_524,i_0_2575,i_0_470,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2635,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_2636,plain,
~ less(n0,nn39),
inference(equality_inference,[],[2630]) ).
cnf(i_0_2637,plain,
~ less(n0,nn39),
inference(equality_inference,[],[2631]) ).
cnf(i_0_2638,plain,
~ sum(n0,nn39,nn39),
inference(equality_inference,[],[2632]) ).
cnf(i_0_2639,plain,
~ sum(n0,nn39,nn39),
inference(equality_inference,[],[2633]) ).
cnf(i_0_2640,plain,
difference(n0,n37,nn37),
inference(scs_inference,[],[i_0_2600,i_0_602]) ).
cnf(i_0_2641,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2642,plain,
~ sum(n9,nn9,nn37),
inference(scs_inference,[],[i_0_868,i_0_2600,i_0_2629,i_0_602,i_0_601]) ).
cnf(i_0_2643,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2644,plain,
~ rdn_positive_less(rdnn(n7),rdnn(n4)),
inference(scs_inference,[],[i_0_868,i_0_2600,i_0_2629,i_0_2598,i_0_822,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2645,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_2646,plain,
sum(n35,nn35,n0),
inference(scs_inference,[],[i_0_868,i_0_2600,i_0_2629,i_0_2598,i_0_675,i_0_765,i_0_822,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2647,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_2648,plain,
rdn_add_with_carry(rdnn(n3),rdnn(n1),rdnn(n5),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_2600,i_0_2629,i_0_2598,i_0_675,i_0_765,i_0_822,i_0_525,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2649,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_2650,plain,
less(nn35,n0),
inference(scs_inference,[],[i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_675,i_0_765,i_0_822,i_0_525,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2651,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_2652,plain,
~ less_or_equal(n0,nn37),
inference(scs_inference,[],[i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_675,i_0_765,i_0_822,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2653,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2654,plain,
rdnn(n3) != rdnn(n7),
inference(scs_inference,[],[i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_675,i_0_765,i_0_825,i_0_822,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2655,plain,
rdnn(n8) != rdnn(n4),
inference(scs_inference,[],[i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_675,i_0_765,i_0_825,i_0_821,i_0_822,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2656,plain,
~ sum(n0,nn35,nn35),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_675,i_0_765,i_0_825,i_0_821,i_0_822,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2657,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2658,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_2659,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n3)),rdn(rdnn(n4),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2660,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2661,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_2662,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n3)),rdn(rdnn(n3),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2663,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2664,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_2665,plain,
n0 != nn35,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2666,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2667,plain,
~ less(n0,nn35),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2668,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2669,plain,
less_or_equal(nn35,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2670,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2671,plain,
~ sum(n35,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2672,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2673,plain,
( less(rdnn(n2),rdnn(n8))
| less(rdnn(n8),rdnn(n2)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2333,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2674,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2675,plain,
nn35 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2333,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2676,plain,
( X1 != nn37
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2333,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2677,plain,
( X1 != n0
| ~ less(X1,nn37) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2629,i_0_819,i_0_2333,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2678,plain,
( X1 != n0
| ~ sum(X1,nn37,nn37) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2610,i_0_2629,i_0_819,i_0_2333,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2679,plain,
( X1 != nn37
| ~ sum(n0,nn37,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2610,i_0_2629,i_0_819,i_0_2333,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2680,plain,
( sum(nn35,nn35,nn35)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n5),rdnn(n3)),rdn(rdnn(n5),rdnn(n3)),rdn(rdnn(n5),rdnn(n3))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2600,i_0_2610,i_0_2629,i_0_819,i_0_2333,i_0_2598,i_0_2619,i_0_767,i_0_675,i_0_676,i_0_765,i_0_825,i_0_821,i_0_822,i_0_866,i_0_2660,i_0_525,i_0_2621,i_0_477,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2681,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2682,plain,
~ less(n0,nn37),
inference(equality_inference,[],[2676]) ).
cnf(i_0_2683,plain,
~ less(n0,nn37),
inference(equality_inference,[],[2677]) ).
cnf(i_0_2684,plain,
~ sum(n0,nn37,nn37),
inference(equality_inference,[],[2678]) ).
cnf(i_0_2685,plain,
~ sum(n0,nn37,nn37),
inference(equality_inference,[],[2679]) ).
cnf(i_0_2686,plain,
difference(n0,n35,nn35),
inference(scs_inference,[],[i_0_2646,i_0_602]) ).
cnf(i_0_2687,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2688,plain,
~ sum(nn9,n9,nn35),
inference(scs_inference,[],[i_0_878,i_0_2646,i_0_2675,i_0_602,i_0_601]) ).
cnf(i_0_2689,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2690,plain,
~ rdn_positive_less(rdnn(n8),rdnn(n4)),
inference(scs_inference,[],[i_0_878,i_0_2646,i_0_2675,i_0_2644,i_0_821,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2691,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_2692,plain,
sum(n33,nn33,n0),
inference(scs_inference,[],[i_0_878,i_0_2646,i_0_2675,i_0_2644,i_0_677,i_0_767,i_0_821,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2693,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_2694,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n1),rdnn(n4),rdnn(n6)),
inference(scs_inference,[],[i_0_878,i_0_2646,i_0_2675,i_0_2644,i_0_677,i_0_767,i_0_821,i_0_526,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2695,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_2696,plain,
less(nn33,n0),
inference(scs_inference,[],[i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_677,i_0_767,i_0_821,i_0_526,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2697,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_2698,plain,
~ less_or_equal(n0,nn35),
inference(scs_inference,[],[i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_677,i_0_767,i_0_821,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2699,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2700,plain,
rdnn(n3) != rdnn(n8),
inference(scs_inference,[],[i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_677,i_0_767,i_0_825,i_0_821,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2701,plain,
rdnn(n9) != rdnn(n4),
inference(scs_inference,[],[i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_677,i_0_767,i_0_820,i_0_825,i_0_821,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2702,plain,
~ sum(n0,nn33,nn33),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_677,i_0_767,i_0_820,i_0_825,i_0_821,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2703,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2704,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_2705,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n3)),rdn(rdnn(n2),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2706,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2707,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_2708,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n3)),rdn(rdnn(n1),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2709,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2710,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_2711,plain,
n0 != nn33,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2712,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2713,plain,
~ less(n0,nn33),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2714,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2715,plain,
less_or_equal(nn33,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2716,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2717,plain,
~ sum(n33,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2718,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2719,plain,
( less(rdnn(n6),rdnn(n4))
| less(rdnn(n4),rdnn(n6)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2424,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2720,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2721,plain,
nn33 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2424,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2722,plain,
( X1 != nn35
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2424,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2723,plain,
( X1 != n0
| ~ less(X1,nn35) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2675,i_0_819,i_0_2424,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2724,plain,
( X1 != n0
| ~ sum(X1,nn35,nn35) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2656,i_0_2675,i_0_819,i_0_2424,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2725,plain,
( X1 != nn35
| ~ sum(n0,nn35,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2656,i_0_2675,i_0_819,i_0_2424,i_0_2644,i_0_2665,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2726,plain,
( sum(n80,n80,n80)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n0),rdnn(n8)),rdn(rdnn(n0),rdnn(n8)),rdn(rdnn(n0),rdnn(n8))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2646,i_0_2656,i_0_2675,i_0_819,i_0_2424,i_0_2644,i_0_2665,i_0_720,i_0_769,i_0_677,i_0_678,i_0_767,i_0_820,i_0_825,i_0_821,i_0_866,i_0_2706,i_0_526,i_0_2667,i_0_489,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2727,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_2728,plain,
~ less(n0,nn35),
inference(equality_inference,[],[2722]) ).
cnf(i_0_2729,plain,
~ less(n0,nn35),
inference(equality_inference,[],[2723]) ).
cnf(i_0_2730,plain,
~ sum(n0,nn35,nn35),
inference(equality_inference,[],[2724]) ).
cnf(i_0_2731,plain,
~ sum(n0,nn35,nn35),
inference(equality_inference,[],[2725]) ).
cnf(i_0_2732,plain,
difference(n0,n33,nn33),
inference(scs_inference,[],[i_0_2692,i_0_602]) ).
cnf(i_0_2733,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2734,plain,
~ sum(n9,nn9,nn33),
inference(scs_inference,[],[i_0_868,i_0_2692,i_0_2721,i_0_602,i_0_601]) ).
cnf(i_0_2735,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2736,plain,
~ rdn_positive_less(rdnn(n4),rdnn(n3)),
inference(scs_inference,[],[i_0_868,i_0_2692,i_0_2721,i_0_825,i_0_1007,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2737,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_2738,plain,
sum(n31,nn31,n0),
inference(scs_inference,[],[i_0_868,i_0_2692,i_0_2721,i_0_679,i_0_769,i_0_825,i_0_1007,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2739,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_2740,plain,
rdn_add_with_carry(rdnn(n3),rdnn(n1),rdnn(n3),rdnn(n7)),
inference(scs_inference,[],[i_0_868,i_0_2692,i_0_2721,i_0_679,i_0_769,i_0_825,i_0_1007,i_0_527,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2741,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_2742,plain,
less(nn31,n0),
inference(scs_inference,[],[i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_679,i_0_769,i_0_825,i_0_1007,i_0_527,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2743,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_2744,plain,
~ less_or_equal(n0,nn33),
inference(scs_inference,[],[i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_679,i_0_769,i_0_825,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2745,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2746,plain,
rdnn(n2) != rdnn(n4),
inference(scs_inference,[],[i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_679,i_0_769,i_0_826,i_0_825,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2747,plain,
rdnn(n5) != rdnn(n3),
inference(scs_inference,[],[i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_679,i_0_769,i_0_826,i_0_824,i_0_825,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2748,plain,
~ sum(n0,nn31,nn31),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_679,i_0_769,i_0_826,i_0_824,i_0_825,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2749,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2750,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_2751,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n3)),rdn(rdnn(n0),rdnn(n3))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2752,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2753,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_2754,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n2)),rdn(rdnn(n9),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2755,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2756,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_2757,plain,
n0 != nn31,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2758,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2759,plain,
~ less(n0,nn31),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2760,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2761,plain,
less_or_equal(nn31,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2762,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2763,plain,
~ sum(n31,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2764,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2765,plain,
( less(rdnn(n7),rdnn(n4))
| less(rdnn(n4),rdnn(n7)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2470,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2766,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2767,plain,
nn31 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2470,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2768,plain,
( X1 != nn33
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2470,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2769,plain,
( X1 != n0
| ~ less(X1,nn33) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2721,i_0_819,i_0_2470,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2770,plain,
( X1 != n0
| ~ sum(X1,nn33,nn33) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2702,i_0_2721,i_0_819,i_0_2470,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2771,plain,
( X1 != nn33
| ~ sum(n0,nn33,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2702,i_0_2721,i_0_819,i_0_2470,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2772,plain,
( sum(nn31,nn31,nn31)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n1),rdnn(n3)),rdn(rdnn(n1),rdnn(n3)),rdn(rdnn(n1),rdnn(n3))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2692,i_0_2702,i_0_2721,i_0_819,i_0_2470,i_0_2711,i_0_771,i_0_679,i_0_680,i_0_769,i_0_826,i_0_824,i_0_825,i_0_866,i_0_2752,i_0_1007,i_0_527,i_0_2713,i_0_497,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2773,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2774,plain,
~ less(n0,nn33),
inference(equality_inference,[],[2768]) ).
cnf(i_0_2775,plain,
~ less(n0,nn33),
inference(equality_inference,[],[2769]) ).
cnf(i_0_2776,plain,
~ sum(n0,nn33,nn33),
inference(equality_inference,[],[2770]) ).
cnf(i_0_2777,plain,
~ sum(n0,nn33,nn33),
inference(equality_inference,[],[2771]) ).
cnf(i_0_2778,plain,
difference(n0,n31,nn31),
inference(scs_inference,[],[i_0_2738,i_0_602]) ).
cnf(i_0_2779,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2780,plain,
~ sum(nn9,n9,nn31),
inference(scs_inference,[],[i_0_878,i_0_2738,i_0_2767,i_0_602,i_0_601]) ).
cnf(i_0_2781,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2782,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n3)),
inference(scs_inference,[],[i_0_878,i_0_2738,i_0_2767,i_0_2736,i_0_824,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2783,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_2784,plain,
sum(n29,nn29,n0),
inference(scs_inference,[],[i_0_878,i_0_2738,i_0_2767,i_0_2736,i_0_681,i_0_771,i_0_824,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2785,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_2786,plain,
rdn_add_with_carry(rdnn(n5),rdnn(n1),rdnn(n2),rdnn(n8)),
inference(scs_inference,[],[i_0_878,i_0_2738,i_0_2767,i_0_2736,i_0_681,i_0_771,i_0_824,i_0_528,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2787,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_2788,plain,
less(nn29,n0),
inference(scs_inference,[],[i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_681,i_0_771,i_0_824,i_0_528,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2789,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_2790,plain,
~ less_or_equal(n0,nn31),
inference(scs_inference,[],[i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_681,i_0_771,i_0_824,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2791,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2792,plain,
rdnn(n2) != rdnn(n5),
inference(scs_inference,[],[i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_681,i_0_771,i_0_826,i_0_824,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2793,plain,
rdnn(n6) != rdnn(n3),
inference(scs_inference,[],[i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_681,i_0_771,i_0_826,i_0_823,i_0_824,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2794,plain,
~ sum(n0,nn29,nn29),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_681,i_0_771,i_0_826,i_0_823,i_0_824,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2795,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2796,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_2797,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n2)),rdn(rdnn(n8),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2798,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2799,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_2800,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n2)),rdn(rdnn(n7),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2801,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2802,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_2803,plain,
n0 != nn29,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2804,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2805,plain,
~ less(n0,nn29),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2806,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2807,plain,
less_or_equal(nn29,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2808,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2809,plain,
~ sum(n29,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2810,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2811,plain,
( less(rdnn(n8),rdnn(n4))
| less(rdnn(n4),rdnn(n8)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2516,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2812,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2813,plain,
nn29 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2516,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2814,plain,
( X1 != nn31
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2516,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2815,plain,
( X1 != n0
| ~ less(X1,nn31) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2767,i_0_819,i_0_2516,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2816,plain,
( X1 != n0
| ~ sum(X1,nn31,nn31) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2748,i_0_2767,i_0_819,i_0_2516,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2817,plain,
( X1 != nn31
| ~ sum(n0,nn31,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2748,i_0_2767,i_0_819,i_0_2516,i_0_2736,i_0_2757,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2818,plain,
( sum(n78,n78,n78)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n8),rdnn(n7)),rdn(rdnn(n8),rdnn(n7)),rdn(rdnn(n8),rdnn(n7))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2738,i_0_2748,i_0_2767,i_0_819,i_0_2516,i_0_2736,i_0_2757,i_0_722,i_0_773,i_0_681,i_0_682,i_0_771,i_0_826,i_0_823,i_0_824,i_0_866,i_0_2798,i_0_528,i_0_2759,i_0_505,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2819,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_2820,plain,
~ less(n0,nn31),
inference(equality_inference,[],[2814]) ).
cnf(i_0_2821,plain,
~ less(n0,nn31),
inference(equality_inference,[],[2815]) ).
cnf(i_0_2822,plain,
~ sum(n0,nn31,nn31),
inference(equality_inference,[],[2816]) ).
cnf(i_0_2823,plain,
~ sum(n0,nn31,nn31),
inference(equality_inference,[],[2817]) ).
cnf(i_0_2824,plain,
difference(n0,n29,nn29),
inference(scs_inference,[],[i_0_2784,i_0_602]) ).
cnf(i_0_2825,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2826,plain,
~ sum(n9,nn9,nn29),
inference(scs_inference,[],[i_0_868,i_0_2784,i_0_2813,i_0_602,i_0_601]) ).
cnf(i_0_2827,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2828,plain,
~ rdn_positive_less(rdnn(n6),rdnn(n3)),
inference(scs_inference,[],[i_0_868,i_0_2784,i_0_2813,i_0_2782,i_0_823,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2829,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_2830,plain,
sum(n27,nn27,n0),
inference(scs_inference,[],[i_0_868,i_0_2784,i_0_2813,i_0_2782,i_0_683,i_0_773,i_0_823,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2831,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_2832,plain,
rdn_add_with_carry(rdnn(n7),rdnn(n1),rdnn(n1),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_2784,i_0_2813,i_0_2782,i_0_683,i_0_773,i_0_823,i_0_529,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2833,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_2834,plain,
less(nn27,n0),
inference(scs_inference,[],[i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_683,i_0_773,i_0_823,i_0_529,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2835,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_2836,plain,
~ less_or_equal(n0,nn29),
inference(scs_inference,[],[i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_683,i_0_773,i_0_823,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2837,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2838,plain,
rdnn(n2) != rdnn(n6),
inference(scs_inference,[],[i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_683,i_0_773,i_0_826,i_0_823,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2839,plain,
rdnn(n7) != rdnn(n3),
inference(scs_inference,[],[i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_683,i_0_773,i_0_826,i_0_822,i_0_823,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2840,plain,
~ sum(n0,nn27,nn27),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_683,i_0_773,i_0_826,i_0_822,i_0_823,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2841,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2842,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_2843,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n2)),rdn(rdnn(n6),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2844,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2845,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_2846,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n2)),rdn(rdnn(n5),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2847,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2848,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_2849,plain,
n0 != nn27,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2850,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2851,plain,
~ less(n0,nn27),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2852,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2853,plain,
less_or_equal(nn27,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2854,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2855,plain,
~ sum(n27,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,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,
( less(rdnn(n5),rdnn(n3))
| less(rdnn(n3),rdnn(n5)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2562,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2858,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2859,plain,
nn27 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2562,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2860,plain,
( X1 != nn29
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2562,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2861,plain,
( X1 != n0
| ~ less(X1,nn29) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2813,i_0_819,i_0_2562,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2862,plain,
( X1 != n0
| ~ sum(X1,nn29,nn29) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2794,i_0_2813,i_0_819,i_0_2562,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2863,plain,
( X1 != nn29
| ~ sum(n0,nn29,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2794,i_0_2813,i_0_819,i_0_2562,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2864,plain,
( sum(nn27,nn27,nn27)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n7),rdnn(n2)),rdn(rdnn(n7),rdnn(n2)),rdn(rdnn(n7),rdnn(n2))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2784,i_0_2794,i_0_2813,i_0_819,i_0_2562,i_0_2782,i_0_2803,i_0_775,i_0_683,i_0_684,i_0_773,i_0_826,i_0_822,i_0_823,i_0_866,i_0_2844,i_0_529,i_0_2805,i_0_513,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2865,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2866,plain,
~ less(n0,nn29),
inference(equality_inference,[],[2860]) ).
cnf(i_0_2867,plain,
~ less(n0,nn29),
inference(equality_inference,[],[2861]) ).
cnf(i_0_2868,plain,
~ sum(n0,nn29,nn29),
inference(equality_inference,[],[2862]) ).
cnf(i_0_2869,plain,
~ sum(n0,nn29,nn29),
inference(equality_inference,[],[2863]) ).
cnf(i_0_2870,plain,
difference(n0,n27,nn27),
inference(scs_inference,[],[i_0_2830,i_0_602]) ).
cnf(i_0_2871,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2872,plain,
~ sum(nn9,n9,nn27),
inference(scs_inference,[],[i_0_878,i_0_2830,i_0_2859,i_0_602,i_0_601]) ).
cnf(i_0_2873,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2874,plain,
~ rdn_positive_less(rdnn(n7),rdnn(n3)),
inference(scs_inference,[],[i_0_878,i_0_2830,i_0_2859,i_0_2828,i_0_822,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2875,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_2876,plain,
sum(n25,nn25,n0),
inference(scs_inference,[],[i_0_878,i_0_2830,i_0_2859,i_0_2828,i_0_685,i_0_775,i_0_822,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2877,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_2878,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n1),rdnn(n0),rdnn(n1)),
inference(scs_inference,[],[i_0_878,i_0_2830,i_0_2859,i_0_2828,i_0_685,i_0_775,i_0_822,i_0_530,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2879,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_2880,plain,
less(nn25,n0),
inference(scs_inference,[],[i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_685,i_0_775,i_0_822,i_0_530,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2881,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_2882,plain,
~ less_or_equal(n0,nn27),
inference(scs_inference,[],[i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_685,i_0_775,i_0_822,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2883,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2884,plain,
rdnn(n2) != rdnn(n7),
inference(scs_inference,[],[i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_685,i_0_775,i_0_826,i_0_822,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2885,plain,
rdnn(n8) != rdnn(n3),
inference(scs_inference,[],[i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_685,i_0_775,i_0_826,i_0_821,i_0_822,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2886,plain,
~ sum(n0,nn25,nn25),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_685,i_0_775,i_0_826,i_0_821,i_0_822,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2887,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2888,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_2889,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n2)),rdn(rdnn(n4),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2890,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2891,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_2892,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n3),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2893,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2894,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_2895,plain,
n0 != nn25,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2896,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2897,plain,
~ less(n0,nn25),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2898,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2899,plain,
less_or_equal(nn25,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2900,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2901,plain,
~ sum(n25,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2902,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2903,plain,
( less(rdnn(n6),rdnn(n3))
| less(rdnn(n3),rdnn(n6)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2608,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2904,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2905,plain,
nn25 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2608,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2906,plain,
( X1 != nn27
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2608,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2907,plain,
( X1 != n0
| ~ less(X1,nn27) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2859,i_0_819,i_0_2608,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2908,plain,
( X1 != n0
| ~ sum(X1,nn27,nn27) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2840,i_0_2859,i_0_819,i_0_2608,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2909,plain,
( X1 != nn27
| ~ sum(n0,nn27,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2840,i_0_2859,i_0_819,i_0_2608,i_0_2828,i_0_2849,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2910,plain,
( sum(n76,n76,n76)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n6),rdnn(n7)),rdn(rdnn(n6),rdnn(n7)),rdn(rdnn(n6),rdnn(n7))) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2830,i_0_2840,i_0_2859,i_0_819,i_0_2608,i_0_2828,i_0_2849,i_0_724,i_0_777,i_0_685,i_0_686,i_0_775,i_0_826,i_0_821,i_0_822,i_0_866,i_0_2890,i_0_530,i_0_2851,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_440]) ).
cnf(i_0_2911,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_2912,plain,
~ less(n0,nn27),
inference(equality_inference,[],[2906]) ).
cnf(i_0_2913,plain,
~ less(n0,nn27),
inference(equality_inference,[],[2907]) ).
cnf(i_0_2914,plain,
~ sum(n0,nn27,nn27),
inference(equality_inference,[],[2908]) ).
cnf(i_0_2915,plain,
~ sum(n0,nn27,nn27),
inference(equality_inference,[],[2909]) ).
cnf(i_0_2916,plain,
difference(n0,n25,nn25),
inference(scs_inference,[],[i_0_2876,i_0_602]) ).
cnf(i_0_2917,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2918,plain,
~ sum(n9,nn9,nn25),
inference(scs_inference,[],[i_0_868,i_0_2876,i_0_2905,i_0_602,i_0_601]) ).
cnf(i_0_2919,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2920,plain,
~ rdn_positive_less(rdnn(n8),rdnn(n3)),
inference(scs_inference,[],[i_0_868,i_0_2876,i_0_2905,i_0_2874,i_0_821,i_0_602,i_0_601,i_0_608]) ).
cnf(i_0_2921,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_2922,plain,
sum(n23,nn23,n0),
inference(scs_inference,[],[i_0_868,i_0_2876,i_0_2905,i_0_2874,i_0_687,i_0_777,i_0_821,i_0_602,i_0_601,i_0_608,i_0_606]) ).
cnf(i_0_2923,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_2924,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n9),rdnn(n9)),
inference(scs_inference,[],[i_0_868,i_0_2876,i_0_2905,i_0_2874,i_0_687,i_0_777,i_0_821,i_0_531,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435]) ).
cnf(i_0_2925,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_2926,plain,
less(nn23,n0),
inference(scs_inference,[],[i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_687,i_0_777,i_0_821,i_0_531,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2927,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_2928,plain,
~ less_or_equal(n0,nn25),
inference(scs_inference,[],[i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_687,i_0_777,i_0_821,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2929,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2930,plain,
rdnn(n2) != rdnn(n8),
inference(scs_inference,[],[i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_687,i_0_777,i_0_826,i_0_821,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857]) ).
cnf(i_0_2931,plain,
rdnn(n9) != rdnn(n3),
inference(scs_inference,[],[i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_687,i_0_777,i_0_820,i_0_826,i_0_821,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858]) ).
cnf(i_0_2932,plain,
~ sum(n0,nn23,nn23),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_687,i_0_777,i_0_820,i_0_826,i_0_821,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598]) ).
cnf(i_0_2933,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2934,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_2935,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n2)),rdn(rdnn(n2),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610]) ).
cnf(i_0_2936,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2937,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_2938,plain,
~ rdn_positive_less(rdn(rdnn(n1),rdnn(n2)),rdn(rdnn(n1),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2939,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2940,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_2941,plain,
n0 != nn23,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2942,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2943,plain,
~ less(n0,nn23),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2944,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2945,plain,
less_or_equal(nn23,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2946,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2947,plain,
~ sum(n23,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_2948,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_2949,plain,
( less(rdnn(n7),rdnn(n3))
| less(rdnn(n3),rdnn(n7)) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2654,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798]) ).
cnf(i_0_2950,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2951,plain,
nn23 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2654,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853]) ).
cnf(i_0_2952,plain,
( X1 != nn25
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2654,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865]) ).
cnf(i_0_2953,plain,
( X1 != n0
| ~ less(X1,nn25) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2905,i_0_819,i_0_2654,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864]) ).
cnf(i_0_2954,plain,
( X1 != n0
| ~ sum(X1,nn25,nn25) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2886,i_0_2905,i_0_819,i_0_2654,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2955,plain,
( X1 != nn25
| ~ sum(n0,nn25,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2886,i_0_2905,i_0_819,i_0_2654,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854]) ).
cnf(i_0_2956,plain,
( sum(nn23,nn23,nn23)
| ~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n3),rdnn(n2)),rdn(rdnn(n3),rdnn(n2))) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_2876,i_0_2886,i_0_2905,i_0_819,i_0_2654,i_0_2874,i_0_2895,i_0_779,i_0_687,i_0_688,i_0_777,i_0_820,i_0_826,i_0_821,i_0_866,i_0_2936,i_0_531,i_0_2897,i_0_450,i_0_602,i_0_601,i_0_608,i_0_606,i_0_435,i_0_792,i_0_796,i_0_857,i_0_858,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_798,i_0_853,i_0_865,i_0_864,i_0_852,i_0_854,i_0_439]) ).
cnf(i_0_2957,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X6,X2)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_439]) ).
cnf(i_0_2958,plain,
~ less(n0,nn25),
inference(equality_inference,[],[2952]) ).
cnf(i_0_2959,plain,
~ less(n0,nn25),
inference(equality_inference,[],[2953]) ).
cnf(i_0_2960,plain,
~ sum(n0,nn25,nn25),
inference(equality_inference,[],[2954]) ).
cnf(i_0_2961,plain,
~ sum(n0,nn25,nn25),
inference(equality_inference,[],[2955]) ).
cnf(i_0_2962,plain,
difference(n0,n23,nn23),
inference(scs_inference,[],[i_0_2922,i_0_602]) ).
cnf(i_0_2963,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_2964,plain,
~ sum(nn9,n9,nn23),
inference(scs_inference,[],[i_0_878,i_0_2922,i_0_2951,i_0_602,i_0_601]) ).
cnf(i_0_2965,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_2966,plain,
sum(n21,nn21,n0),
inference(scs_inference,[],[i_0_878,i_0_2922,i_0_2951,i_0_689,i_0_779,i_0_602,i_0_601,i_0_606]) ).
cnf(i_0_2967,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_2968,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n8),rdnn(n8)),
inference(scs_inference,[],[i_0_878,i_0_2922,i_0_2951,i_0_689,i_0_779,i_0_532,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_2969,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_2970,plain,
less(nn21,n0),
inference(scs_inference,[],[i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_689,i_0_779,i_0_532,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_2971,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_2972,plain,
~ less_or_equal(n0,nn23),
inference(scs_inference,[],[i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_689,i_0_779,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_2973,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_2974,plain,
~ sum(n0,nn21,nn21),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_689,i_0_779,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598]) ).
cnf(i_0_2975,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_2976,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_2977,plain,
~ rdn_positive_less(rdn(rdnn(n0),rdnn(n2)),rdn(rdnn(n0),rdnn(n2))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_689,i_0_690,i_0_779,i_0_866,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610]) ).
cnf(i_0_2978,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2979,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_2980,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdnn(n1)),rdn(rdnn(n9),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_2981,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_2982,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_2983,plain,
n0 != nn21,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_2984,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_2985,plain,
~ less(n0,nn21),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_2986,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_2987,plain,
less_or_equal(nn21,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_2988,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_2989,plain,
( ~ rdn_positive_less(rdnn(n9),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(n0)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_1263,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_608]) ).
cnf(i_0_2990,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_2991,plain,
~ sum(n21,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_1263,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_608,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,
nn21 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_1263,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853]) ).
cnf(i_0_2994,plain,
( less(rdnn(n8),rdnn(n3))
| less(rdnn(n3),rdnn(n8)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2700,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_1263,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_798]) ).
cnf(i_0_2995,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_2996,plain,
( X1 != nn23
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2700,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_1263,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_798,i_0_865]) ).
cnf(i_0_2997,plain,
( X1 != n0
| ~ less(X1,nn23) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2951,i_0_819,i_0_2700,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_1263,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_798,i_0_865,i_0_864]) ).
cnf(i_0_2998,plain,
( X1 != n0
| ~ sum(X1,nn23,nn23) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2932,i_0_2951,i_0_819,i_0_2700,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_1263,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_798,i_0_865,i_0_864,i_0_852]) ).
cnf(i_0_2999,plain,
( X1 != rdnn(n2)
| ~ rdn_positive_less(X1,rdnn(n0)) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_2922,i_0_2932,i_0_2951,i_0_819,i_0_1679,i_0_2700,i_0_2941,i_0_781,i_0_689,i_0_690,i_0_1263,i_0_779,i_0_866,i_0_2978,i_0_532,i_0_2943,i_0_460,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_853,i_0_798,i_0_865,i_0_864,i_0_852,i_0_857]) ).
cnf(i_0_3000,plain,
~ less(n0,nn23),
inference(equality_inference,[],[2996]) ).
cnf(i_0_3001,plain,
~ less(n0,nn23),
inference(equality_inference,[],[2997]) ).
cnf(i_0_3002,plain,
~ sum(n0,nn23,nn23),
inference(equality_inference,[],[2998]) ).
cnf(i_0_3003,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n0)),
inference(equality_inference,[],[2999]) ).
cnf(i_0_3004,plain,
difference(n0,n21,nn21),
inference(scs_inference,[],[i_0_2966,i_0_602]) ).
cnf(i_0_3005,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_3006,plain,
~ sum(n7,nn7,nn5),
inference(scs_inference,[],[i_0_911,i_0_972,i_0_2966,i_0_602,i_0_601]) ).
cnf(i_0_3007,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_3008,plain,
sum(n19,nn19,n0),
inference(scs_inference,[],[i_0_911,i_0_972,i_0_2966,i_0_691,i_0_781,i_0_602,i_0_601,i_0_606]) ).
cnf(i_0_3009,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_3010,plain,
rdn_add_with_carry(rdnn(n2),rdnn(n0),rdnn(n7),rdnn(n9)),
inference(scs_inference,[],[i_0_911,i_0_972,i_0_2966,i_0_691,i_0_781,i_0_533,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_3011,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_3012,plain,
less(nn19,n0),
inference(scs_inference,[],[i_0_911,i_0_972,i_0_2966,i_0_819,i_0_691,i_0_781,i_0_533,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_3013,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_3014,plain,
~ less_or_equal(n0,nn21),
inference(scs_inference,[],[i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_691,i_0_781,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_3015,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_3016,plain,
~ sum(n0,nn19,nn19),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_691,i_0_781,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598]) ).
cnf(i_0_3017,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_3018,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_3019,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdnn(n1)),rdn(rdnn(n8),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_691,i_0_692,i_0_781,i_0_866,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610]) ).
cnf(i_0_3020,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3021,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_3022,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdnn(n1)),rdn(rdnn(n7),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_783,i_0_691,i_0_692,i_0_781,i_0_866,i_0_3020,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3023,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3024,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_3025,plain,
n0 != nn19,
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_783,i_0_691,i_0_692,i_0_781,i_0_866,i_0_3020,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_3026,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_3027,plain,
~ less(n0,nn19),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_783,i_0_691,i_0_692,i_0_781,i_0_866,i_0_3020,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_3028,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_3029,plain,
less_or_equal(nn19,n0),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_783,i_0_691,i_0_692,i_0_781,i_0_866,i_0_3020,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_3030,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_3031,plain,
~ sum(n19,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_783,i_0_691,i_0_692,i_0_781,i_0_866,i_0_3020,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_3032,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_3033,plain,
( X1 != nn21
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_783,i_0_691,i_0_692,i_0_781,i_0_866,i_0_3020,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865]) ).
cnf(i_0_3034,plain,
nn19 != n0,
inference(scs_inference,[],[i_0_791,i_0_911,i_0_972,i_0_2966,i_0_819,i_0_2983,i_0_783,i_0_691,i_0_692,i_0_781,i_0_866,i_0_3020,i_0_533,i_0_2985,i_0_468,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865,i_0_853]) ).
cnf(i_0_3035,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3036,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3037,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_3039,plain,
~ less(n0,nn21),
inference(equality_inference,[],[3033]) ).
cnf(i_0_3040,plain,
difference(n0,n19,nn19),
inference(scs_inference,[],[i_0_3008,i_0_602]) ).
cnf(i_0_3041,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_3042,plain,
~ sum(nn9,n9,nn4),
inference(scs_inference,[],[i_0_878,i_0_1020,i_0_3008,i_0_602,i_0_601]) ).
cnf(i_0_3043,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_3044,plain,
sum(n17,nn17,n0),
inference(scs_inference,[],[i_0_878,i_0_1020,i_0_3008,i_0_693,i_0_783,i_0_602,i_0_601,i_0_606]) ).
cnf(i_0_3045,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_3046,plain,
rdn_add_with_carry(rdnn(n2),rdnn(n0),rdnn(n6),rdnn(n8)),
inference(scs_inference,[],[i_0_878,i_0_1020,i_0_3008,i_0_693,i_0_783,i_0_534,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_3047,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_3048,plain,
less(nn17,n0),
inference(scs_inference,[],[i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_693,i_0_783,i_0_534,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_3049,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_3050,plain,
~ less_or_equal(n0,nn19),
inference(scs_inference,[],[i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_693,i_0_783,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_3051,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_3052,plain,
~ sum(n0,nn17,nn17),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_693,i_0_783,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598]) ).
cnf(i_0_3053,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_3054,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_3055,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdnn(n1)),rdn(rdnn(n6),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_693,i_0_694,i_0_783,i_0_866,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610]) ).
cnf(i_0_3056,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3057,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_3058,plain,
~ rdn_positive_less(rdn(rdnn(n5),rdnn(n1)),rdn(rdnn(n5),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_785,i_0_693,i_0_694,i_0_783,i_0_866,i_0_3056,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3059,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3060,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_3061,plain,
n0 != nn17,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_785,i_0_693,i_0_694,i_0_783,i_0_866,i_0_3056,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_3062,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_3063,plain,
~ less(n0,nn17),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_785,i_0_693,i_0_694,i_0_783,i_0_866,i_0_3056,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_3064,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_3065,plain,
less_or_equal(nn17,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_785,i_0_693,i_0_694,i_0_783,i_0_866,i_0_3056,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_3066,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_3067,plain,
~ sum(n17,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_785,i_0_693,i_0_694,i_0_783,i_0_866,i_0_3056,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_3068,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_3069,plain,
( X1 != nn19
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_785,i_0_693,i_0_694,i_0_783,i_0_866,i_0_3056,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865]) ).
cnf(i_0_3070,plain,
nn17 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1020,i_0_3008,i_0_819,i_0_3025,i_0_785,i_0_693,i_0_694,i_0_783,i_0_866,i_0_3056,i_0_534,i_0_3027,i_0_478,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865,i_0_853]) ).
cnf(i_0_3071,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3072,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3073,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_3075,plain,
~ less(n0,nn19),
inference(equality_inference,[],[3069]) ).
cnf(i_0_3076,plain,
difference(n0,n17,nn17),
inference(scs_inference,[],[i_0_3044,i_0_602]) ).
cnf(i_0_3077,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_3078,plain,
~ sum(nn9,n9,nn2),
inference(scs_inference,[],[i_0_878,i_0_1066,i_0_3044,i_0_602,i_0_601]) ).
cnf(i_0_3079,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_3080,plain,
sum(n15,nn15,n0),
inference(scs_inference,[],[i_0_878,i_0_1066,i_0_3044,i_0_695,i_0_785,i_0_602,i_0_601,i_0_606]) ).
cnf(i_0_3081,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_3082,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n0),rdnn(n5),rdnn(n5)),
inference(scs_inference,[],[i_0_878,i_0_1066,i_0_3044,i_0_695,i_0_785,i_0_535,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_3083,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_3084,plain,
less(nn15,n0),
inference(scs_inference,[],[i_0_878,i_0_1066,i_0_3044,i_0_819,i_0_695,i_0_785,i_0_535,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_3085,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_3086,plain,
~ less_or_equal(n0,nn17),
inference(scs_inference,[],[i_0_878,i_0_1066,i_0_3044,i_0_819,i_0_3061,i_0_695,i_0_785,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_3087,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_3088,plain,
~ sum(n0,nn15,nn15),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_819,i_0_3061,i_0_695,i_0_785,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598]) ).
cnf(i_0_3089,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_3090,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_3091,plain,
~ rdn_positive_less(rdn(rdnn(n4),rdnn(n1)),rdn(rdnn(n4),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_819,i_0_3061,i_0_695,i_0_696,i_0_785,i_0_866,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610]) ).
cnf(i_0_3092,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3093,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_3094,plain,
~ rdn_positive_less(rdn(rdnn(n3),rdnn(n1)),rdn(rdnn(n3),rdnn(n1))),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3095,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3096,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_3097,plain,
~ rdn_positive_less(rdnn(n0),rdnn(n5)),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_953,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_805,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_437]) ).
cnf(i_0_3098,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_translate(X5,rdn_neg(X6))
| ~ rdn_add_with_carry(rdnn(n0),X4,X2,X6)
| ~ rdn_positive_less(X4,X6)
| sum(X3,X5,X1) ),
inference(rename_variables,[],[i_0_437]) ).
cnf(i_0_3099,plain,
n0 != nn15,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_953,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_805,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_437,i_0_800]) ).
cnf(i_0_3100,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_3101,plain,
~ less(n0,nn15),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_953,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_805,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_437,i_0_800,i_0_795]) ).
cnf(i_0_3102,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_3103,plain,
less_or_equal(nn15,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_953,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_805,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_437,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_3104,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_3105,plain,
~ rdn_positive_less(rdnn(n1),rdnn(n5)),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_953,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_805,i_0_828,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_437,i_0_800,i_0_795,i_0_797,i_0_608]) ).
cnf(i_0_3106,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_3107,plain,
~ sum(n15,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_953,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_805,i_0_828,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_437,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600]) ).
cnf(i_0_3108,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_3109,plain,
( X1 != nn17
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_953,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_805,i_0_828,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_437,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_865]) ).
cnf(i_0_3110,plain,
nn15 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1066,i_0_3044,i_0_953,i_0_819,i_0_3061,i_0_787,i_0_695,i_0_696,i_0_785,i_0_805,i_0_828,i_0_866,i_0_3092,i_0_535,i_0_3063,i_0_490,i_0_602,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_437,i_0_800,i_0_795,i_0_797,i_0_608,i_0_600,i_0_865,i_0_853]) ).
cnf(i_0_3111,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3112,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3113,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_3115,plain,
~ less(n0,nn17),
inference(equality_inference,[],[3109]) ).
cnf(i_0_3116,plain,
difference(n0,n15,nn15),
inference(scs_inference,[],[i_0_3080,i_0_602]) ).
cnf(i_0_3117,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_3118,plain,
~ rdn_positive_less(rdnn(n2),rdnn(n5)),
inference(scs_inference,[],[i_0_3080,i_0_3105,i_0_827,i_0_602,i_0_608]) ).
cnf(i_0_3119,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_3120,plain,
~ sum(n9,nn9,nn11),
inference(scs_inference,[],[i_0_868,i_0_1112,i_0_3080,i_0_3105,i_0_827,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_3121,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_3122,plain,
sum(n13,nn13,n0),
inference(scs_inference,[],[i_0_868,i_0_1112,i_0_3080,i_0_3105,i_0_697,i_0_787,i_0_827,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_3123,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_3124,plain,
rdn_add_with_carry(rdnn(n2),rdnn(n0),rdnn(n4),rdnn(n6)),
inference(scs_inference,[],[i_0_868,i_0_1112,i_0_3080,i_0_3105,i_0_697,i_0_787,i_0_827,i_0_536,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_3125,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_3126,plain,
less(nn13,n0),
inference(scs_inference,[],[i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_697,i_0_787,i_0_827,i_0_536,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_3127,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_3128,plain,
~ less_or_equal(n0,nn15),
inference(scs_inference,[],[i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_787,i_0_827,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_3129,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_3130,plain,
~ sum(n0,nn13,nn13),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_787,i_0_827,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598]) ).
cnf(i_0_3131,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_3132,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_3133,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_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_559,i_0_787,i_0_827,i_0_866,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610]) ).
cnf(i_0_3134,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3135,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_3136,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_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_597,i_0_559,i_0_787,i_0_827,i_0_866,i_0_3134,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3137,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3138,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_3139,plain,
n0 != nn13,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_597,i_0_559,i_0_787,i_0_827,i_0_866,i_0_3134,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_3140,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_3141,plain,
~ less(n0,nn13),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_597,i_0_559,i_0_787,i_0_827,i_0_866,i_0_3134,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_3142,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_3143,plain,
less_or_equal(nn13,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_597,i_0_559,i_0_787,i_0_827,i_0_866,i_0_3134,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_3144,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_3145,plain,
~ sum(n13,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_597,i_0_559,i_0_787,i_0_827,i_0_866,i_0_3134,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_3146,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_3147,plain,
( X1 != nn15
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_597,i_0_559,i_0_787,i_0_827,i_0_866,i_0_3134,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865]) ).
cnf(i_0_3148,plain,
nn13 != n0,
inference(scs_inference,[],[i_0_791,i_0_868,i_0_1112,i_0_3080,i_0_819,i_0_3105,i_0_3099,i_0_697,i_0_597,i_0_559,i_0_787,i_0_827,i_0_866,i_0_3134,i_0_536,i_0_3101,i_0_498,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865,i_0_853]) ).
cnf(i_0_3149,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3150,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3151,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_3153,plain,
~ less(n0,nn15),
inference(equality_inference,[],[3147]) ).
cnf(i_0_3154,plain,
difference(n0,n13,nn13),
inference(scs_inference,[],[i_0_3122,i_0_602]) ).
cnf(i_0_3155,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_3156,plain,
~ rdn_positive_less(rdnn(n3),rdnn(n5)),
inference(scs_inference,[],[i_0_3122,i_0_3118,i_0_826,i_0_602,i_0_608]) ).
cnf(i_0_3157,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_3158,plain,
~ sum(nn9,n9,nn10),
inference(scs_inference,[],[i_0_878,i_0_1158,i_0_3122,i_0_3118,i_0_826,i_0_602,i_0_608,i_0_601]) ).
cnf(i_0_3159,plain,
( ~ sum(X1,X2,X3)
| X4 = X3
| ~ sum(X1,X2,X4) ),
inference(rename_variables,[],[i_0_601]) ).
cnf(i_0_3160,plain,
sum(n100,nn100,n0),
inference(scs_inference,[],[i_0_878,i_0_1158,i_0_3122,i_0_3118,i_0_569,i_0_597,i_0_826,i_0_602,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_3161,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_3162,plain,
rdn_add_with_carry(rdnn(n4),rdnn(n0),rdnn(n3),rdnn(n7)),
inference(scs_inference,[],[i_0_878,i_0_1158,i_0_3122,i_0_3118,i_0_569,i_0_597,i_0_826,i_0_537,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435]) ).
cnf(i_0_3163,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_3164,plain,
less(nn100,n0),
inference(scs_inference,[],[i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_569,i_0_597,i_0_826,i_0_537,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792]) ).
cnf(i_0_3165,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_3166,plain,
~ less_or_equal(n0,nn13),
inference(scs_inference,[],[i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_569,i_0_597,i_0_826,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796]) ).
cnf(i_0_3167,plain,
( X1 = X2
| ~ less_or_equal(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_796]) ).
cnf(i_0_3168,plain,
~ sum(n0,nn100,nn100),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_569,i_0_597,i_0_826,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598]) ).
cnf(i_0_3169,plain,
~ sum(X1,n0,X1),
inference(rename_variables,[],[i_0_791]) ).
cnf(i_0_3170,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_3171,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_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_569,i_0_549,i_0_597,i_0_826,i_0_866,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610]) ).
cnf(i_0_3172,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3173,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_3174,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_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_586,i_0_569,i_0_549,i_0_597,i_0_826,i_0_866,i_0_3172,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3175,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3176,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_3177,plain,
n0 != nn100,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_586,i_0_569,i_0_549,i_0_597,i_0_826,i_0_866,i_0_3172,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_3178,plain,
( ~ less(X1,X2)
| X2 != X1 ),
inference(rename_variables,[],[i_0_800]) ).
cnf(i_0_3179,plain,
~ less(n0,nn100),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_586,i_0_569,i_0_549,i_0_597,i_0_826,i_0_866,i_0_3172,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_3180,plain,
( ~ less(X1,X2)
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_795]) ).
cnf(i_0_3181,plain,
less_or_equal(nn100,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_586,i_0_569,i_0_549,i_0_597,i_0_826,i_0_866,i_0_3172,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_3182,plain,
( ~ less(X1,X2)
| less_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_797]) ).
cnf(i_0_3183,plain,
~ sum(n100,n0,n0),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_586,i_0_569,i_0_549,i_0_597,i_0_826,i_0_866,i_0_3172,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600]) ).
cnf(i_0_3184,plain,
( ~ sum(X1,X2,X3)
| X4 = X2
| ~ sum(X1,X4,X3) ),
inference(rename_variables,[],[i_0_600]) ).
cnf(i_0_3185,plain,
( X1 != nn13
| ~ less(n0,X1) ),
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_586,i_0_569,i_0_549,i_0_597,i_0_826,i_0_866,i_0_3172,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865]) ).
cnf(i_0_3186,plain,
nn100 != n0,
inference(scs_inference,[],[i_0_791,i_0_878,i_0_1158,i_0_3122,i_0_819,i_0_3118,i_0_3139,i_0_586,i_0_569,i_0_549,i_0_597,i_0_826,i_0_866,i_0_3172,i_0_537,i_0_3141,i_0_506,i_0_602,i_0_608,i_0_601,i_0_606,i_0_435,i_0_792,i_0_796,i_0_598,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_600,i_0_865,i_0_853]) ).
cnf(i_0_3187,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3188,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_866]) ).
cnf(i_0_3189,plain,
( X1 = X2
| less(X2,X1)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_3191,plain,
~ less(n0,nn13),
inference(equality_inference,[],[3185]) ).
cnf(i_0_3192,plain,
difference(n0,n100,nn100),
inference(scs_inference,[],[i_0_3160,i_0_602]) ).
cnf(i_0_3193,plain,
( ~ sum(X1,X2,X3)
| difference(X3,X1,X2) ),
inference(rename_variables,[],[i_0_602]) ).
cnf(i_0_3194,plain,
$false,
inference(scs_inference,[],[i_0_3160,i_0_3156,i_0_825,i_0_824,i_0_602,i_0_608]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM327+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:27:16 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 29.22/15.65 % Version : CSE_E---1.7
% 29.22/15.65 % Problem : theBenchmark.p
% 29.22/15.65 % SZS status Theorem for theBenchmark.p
% 29.22/15.65 % SZS output start CNFRefutation
% See solution above
% 38.34/22.15 % Total time : 15.310s
%------------------------------------------------------------------------------