%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM330+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 : n023.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 04:53:12 PM UTC 2026
% Result : Theorem 68.98s 46.52s
% Output : CNFRefutation 75.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_1099)
% Comments :
%------------------------------------------------------------------------------
fof(sum_n4_n4_n8,conjecture,
? [X1,X2] :
( sum(X1,X2,n8)
& X1 = n4
& X2 = n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n4_n4_n8) ).
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,X2] :
( sum(X1,X2,n8)
& X1 = n4
& X2 = n4 ),
inference(assume_negation,[status(cth)],[sum_n4_n4_n8]) ).
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,
! [X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270] :
( ~ rdn_digit_add(rdnn(X261),rdnn(X263),rdnn(X267),rdnn(X268))
| ~ rdn_digit_add(rdnn(X267),rdnn(X260),rdnn(X265),rdnn(X269))
| ~ rdn_digit_add(rdnn(X268),rdnn(X269),rdnn(X270),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X270),X262,X264,X266)
| ~ rdn_non_zero(X262)
| ~ rdn_non_zero(X264)
| ~ rdn_non_zero(X266)
| rdn_add_with_carry(rdnn(X260),rdn(rdnn(X261),X262),rdn(rdnn(X263),X264),rdn(rdnn(X265),X266)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_rdn_rdn_rdn])]) ).
fof(i_0_405,plain,
! [X250,X251,X252,X253,X254,X255,X256,X257,X258,X259] :
( ~ rdn_digit_add(rdnn(X251),rdnn(X252),rdnn(X256),rdnn(X257))
| ~ rdn_digit_add(rdnn(X256),rdnn(X250),rdnn(X254),rdnn(X258))
| ~ rdn_digit_add(rdnn(X257),rdnn(X258),rdnn(X259),rdnn(n0))
| ~ rdn_add_with_carry(rdnn(X259),rdnn(n0),X253,X255)
| ~ rdn_non_zero(X253)
| ~ rdn_non_zero(X255)
| rdn_add_with_carry(rdnn(X250),rdnn(X251),rdn(rdnn(X252),X253),rdn(rdnn(X254),X255)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_rdn_rdn])]) ).
fof(i_0_406,plain,
! [X243,X244,X245,X246,X247,X248,X249] :
( ~ rdn_digit_add(rdnn(X244),rdnn(X245),rdnn(X246),rdnn(X248))
| ~ rdn_digit_add(rdnn(X246),rdnn(X243),rdnn(X247),rdnn(X249))
| ~ rdn_digit_add(rdnn(X248),rdnn(X249),rdnn(n1),rdnn(n0))
| rdn_add_with_carry(rdnn(X243),rdnn(X244),rdnn(X245),rdn(rdnn(X247),rdnn(n1))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_rdn])]) ).
fof(i_0_407,plain,
! [X238,X239,X240,X241,X242] :
( ~ rdn_digit_add(rdnn(X239),rdnn(X240),rdnn(X242),rdnn(n0))
| ~ rdn_digit_add(rdnn(X242),rdnn(X238),rdnn(X241),rdnn(n0))
| rdn_add_with_carry(rdnn(X238),rdnn(X239),rdnn(X240),rdnn(X241)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_digit])]) ).
fof(i_0_408,plain,
! [X271,X272,X273,X274,X275,X276] :
( ~ rdn_add_with_carry(rdnn(X271),rdnn(X274),rdn(rdnn(X272),X273),rdn(rdnn(X275),X276))
| rdn_add_with_carry(rdnn(X271),rdn(rdnn(X272),X273),rdnn(X274),rdn(rdnn(X275),X276)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_rdn_digit_rdn])]) ).
fof(i_0_409,plain,
! [X203,X204,X205,X206,X207,X208] :
( ~ rdn_translate(X203,rdn_pos(X206))
| ~ rdn_translate(X204,rdn_neg(X207))
| ~ rdn_positive_less(X206,X207)
| ~ rdn_add_with_carry(rdnn(n0),X206,X208,X207)
| ~ rdn_translate(X205,rdn_neg(X208))
| sum(X203,X204,X205) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_neg_1])]) ).
fof(i_0_410,plain,
! [X209,X210,X211,X212,X213,X214] :
( ~ rdn_translate(X209,rdn_pos(X212))
| ~ rdn_translate(X210,rdn_neg(X213))
| ~ rdn_positive_less(X213,X212)
| ~ rdn_add_with_carry(rdnn(n0),X213,X214,X212)
| ~ rdn_translate(X211,rdn_pos(X214))
| sum(X209,X210,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_neg_2])]) ).
fof(i_0_411,plain,
! [X197,X198,X199,X200,X201,X202] :
( ~ rdn_translate(X197,rdn_neg(X200))
| ~ rdn_translate(X198,rdn_neg(X201))
| ~ rdn_add_with_carry(rdnn(n0),X200,X201,X202)
| ~ rdn_translate(X199,rdn_neg(X202))
| sum(X197,X198,X199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_neg_neg])]) ).
fof(i_0_412,plain,
! [X191,X192,X193,X194,X195,X196] :
( ~ rdn_translate(X191,rdn_pos(X194))
| ~ rdn_translate(X192,rdn_pos(X195))
| ~ rdn_add_with_carry(rdnn(n0),X194,X195,X196)
| ~ rdn_translate(X193,rdn_pos(X196))
| sum(X191,X192,X193) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_pos])]) ).
fof(i_0_413,plain,
! [X218,X219,X220,X221,X222] :
( ~ rdn_translate(X218,rdn_neg(X221))
| ~ rdn_translate(X219,rdn_pos(X222))
| ~ sum(X219,X218,X220)
| sum(X218,X219,X220) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_neg_pos])]) ).
fof(i_0_414,plain,
! [X227,X228,X229,X230] :
( ~ sum(X227,X229,X230)
| ~ sum(X228,X229,X230)
| X227 = X228 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_LHS])]) ).
fof(i_0_415,plain,
! [X231,X232,X233,X234] :
( ~ sum(X231,X232,X234)
| ~ sum(X231,X233,X234)
| X232 = X233 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_RHS])]) ).
fof(i_0_416,plain,
! [X223,X224,X225,X226] :
( ~ sum(X223,X224,X225)
| ~ sum(X223,X224,X226)
| X225 = X226 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_sum])]) ).
fof(i_0_417,plain,
! [X235,X236,X237] :
( ( ~ sum(X236,X237,X235)
| difference(X235,X236,X237) )
& ( ~ difference(X235,X236,X237)
| sum(X236,X237,X235) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[minus_entry_point])]) ).
fof(i_0_418,plain,
! [X163,X164,X165] :
( ~ rdn_positive_less(rdnn(X163),rdnn(X165))
| ~ rdn_non_zero(X164)
| rdn_positive_less(rdn(rdnn(X163),X164),rdn(rdnn(X165),X164)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_low])]) ).
fof(i_0_419,plain,
! [X188,X189,X190] :
( ~ sum(X188,n1,X189)
| ~ less(X190,X189)
| less_or_equal(X190,X188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_successor])]) ).
fof(i_0_420,plain,
! [X215,X216,X217] :
( ~ rdn_translate(X215,rdn_pos(X217))
| ~ rdn_translate(X216,rdn_neg(X217))
| sum(X215,X216,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_posx_negx])]) ).
fof(i_0_421,plain,
! [X159,X160,X161,X162] :
( ~ rdn_positive_less(X160,X162)
| rdn_positive_less(rdn(rdnn(X159),X160),rdn(rdnn(X161),X162)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_high])]) ).
fof(i_0_422,plain,
! [X156,X157,X158] :
( ~ rdn_positive_less(rdnn(X156),rdnn(X157))
| ~ rdn_positive_less(rdnn(X157),rdnn(X158))
| rdn_positive_less(rdnn(X156),rdnn(X158)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])]) ).
fof(i_0_423,plain,
! [X172,X173,X174,X175] :
( ~ rdn_translate(X172,rdn_pos(X174))
| ~ rdn_translate(X173,rdn_pos(X175))
| ~ rdn_positive_less(X174,X175)
| less(X172,X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).
fof(i_0_424,plain,
! [X180,X181,X182,X183] :
( ~ rdn_translate(X180,rdn_neg(X182))
| ~ rdn_translate(X181,rdn_neg(X183))
| ~ rdn_positive_less(X183,X182)
| less(X180,X181) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_neg])]) ).
fof(i_0_425,negated_conjecture,
! [X277,X278] :
( ~ sum(X277,X278,n8)
| X277 != n4
| X278 != n4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_402])]) ).
fof(i_0_426,plain,
! [X176,X177,X178,X179] :
( ~ rdn_translate(X176,rdn_neg(X178))
| ~ rdn_translate(X177,rdn_pos(X179))
| less(X176,X177) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_pos])]) ).
fof(i_0_427,plain,
! [X166,X167,X168] :
( ~ rdn_non_zero(X168)
| rdn_positive_less(rdnn(X166),rdn(rdnn(X167),X168)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).
fof(i_0_428,plain,
! [X170,X171] :
( ~ rdn_non_zero(X171)
| rdn_non_zero(rdn(rdnn(X170),X171)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_structure])]) ).
fof(i_0_429,plain,
! [X184,X185] :
( ( ~ less(X185,X184)
| ~ less(X184,X185) )
& ( X185 != X184
| ~ less(X184,X185) )
& ( less(X185,X184)
| X185 = X184
| less(X184,X185) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_403])])]) ).
fof(i_0_430,plain,
! [X186,X187] :
( ( ~ less_or_equal(X186,X187)
| less(X186,X187)
| X186 = X187 )
& ( ~ less(X186,X187)
| less_or_equal(X186,X187) )
& ( X186 != X187
| less_or_equal(X186,X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_or_equal])])]) ).
fof(i_0_431,plain,
! [X169] :
( ~ rdn_non_zero_digit(rdnn(X169))
| rdn_non_zero(rdnn(X169)) ),
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,X2,n8)
| X1 != n4
| X2 != n4 ),
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_3341,plain,
~ rdn_positive_less(rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1))),rdn(rdnn(n6),rdn(rdnn(n2),rdnn(n1)))),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3281,i_0_819,i_0_3181,i_0_3256,i_0_3313,i_0_571,i_0_543,i_0_866,i_0_3315,i_0_518,i_0_495,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_609]) ).
cnf(i_0_3344,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1))),rdn(rdnn(n7),rdn(rdnn(n1),rdnn(n1)))),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3281,i_0_819,i_0_3181,i_0_3256,i_0_3313,i_0_571,i_0_543,i_0_552,i_0_866,i_0_3342,i_0_3315,i_0_518,i_0_495,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_609,i_0_610]) ).
cnf(i_0_3347,plain,
n0 != nn126,
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3281,i_0_819,i_0_3181,i_0_3256,i_0_3313,i_0_571,i_0_543,i_0_552,i_0_866,i_0_3342,i_0_3315,i_0_518,i_0_495,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_609,i_0_610,i_0_800]) ).
cnf(i_0_3349,plain,
~ less(n0,nn126),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3281,i_0_819,i_0_3181,i_0_3256,i_0_3313,i_0_571,i_0_543,i_0_552,i_0_866,i_0_3342,i_0_3315,i_0_518,i_0_495,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_609,i_0_610,i_0_800,i_0_795]) ).
cnf(i_0_3351,plain,
less_or_equal(nn126,n0),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3281,i_0_819,i_0_3181,i_0_3256,i_0_3313,i_0_571,i_0_543,i_0_552,i_0_866,i_0_3342,i_0_3315,i_0_518,i_0_495,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_3353,plain,
~ sum(n0,nn105,n0),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3281,i_0_819,i_0_3181,i_0_3256,i_0_3313,i_0_571,i_0_543,i_0_552,i_0_866,i_0_3342,i_0_3315,i_0_518,i_0_495,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_599]) ).
cnf(i_0_3357,plain,
~ sum(n126,n0,n0),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3281,i_0_819,i_0_3181,i_0_3256,i_0_3313,i_0_571,i_0_543,i_0_552,i_0_866,i_0_3342,i_0_3315,i_0_518,i_0_495,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600]) ).
cnf(i_0_3359,plain,
nn126 != n0,
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3281,i_0_819,i_0_3181,i_0_3256,i_0_3313,i_0_571,i_0_543,i_0_552,i_0_866,i_0_3342,i_0_3315,i_0_518,i_0_495,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_609,i_0_610,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_853]) ).
cnf(i_0_3365,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n2)),
inference(equality_inference,[],[3360]) ).
cnf(i_0_3366,plain,
~ sum(n112,n121,n0),
inference(equality_inference,[],[3361]) ).
cnf(i_0_3367,plain,
~ less(n0,nn116),
inference(equality_inference,[],[3362]) ).
cnf(i_0_3368,plain,
~ less(n0,nn116),
inference(equality_inference,[],[3363]) ).
cnf(i_0_3369,plain,
~ rdn_positive_less(rdnn(n4),rdnn(n0)),
inference(equality_inference,[],[3364]) ).
cnf(i_0_3380,plain,
~ less_or_equal(n0,nn126),
inference(scs_inference,[],[i_0_1099,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_562,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796]) ).
cnf(i_0_3382,plain,
n0 != n116,
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_562,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852]) ).
cnf(i_0_3383,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1))),rdn(rdnn(n7),rdn(rdnn(n0),rdnn(n1)))),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_562,i_0_866,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_610]) ).
cnf(i_0_3386,plain,
~ rdn_positive_less(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1))),rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1)))),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_570,i_0_562,i_0_866,i_0_3384,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_610,i_0_609]) ).
cnf(i_0_3389,plain,
n0 != nn107,
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_570,i_0_562,i_0_866,i_0_3384,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_610,i_0_609,i_0_800]) ).
cnf(i_0_3391,plain,
~ less(n0,nn107),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_570,i_0_562,i_0_866,i_0_3384,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_610,i_0_609,i_0_800,i_0_795]) ).
cnf(i_0_3393,plain,
less_or_equal(nn107,n0),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_570,i_0_562,i_0_866,i_0_3384,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797]) ).
cnf(i_0_3395,plain,
~ sum(n0,nn116,n0),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_570,i_0_562,i_0_866,i_0_3384,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_599]) ).
cnf(i_0_3399,plain,
~ sum(n107,n0,n0),
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_570,i_0_562,i_0_866,i_0_3384,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600]) ).
cnf(i_0_3401,plain,
nn107 != n0,
inference(scs_inference,[],[i_0_1099,i_0_3115,i_0_3319,i_0_819,i_0_2936,i_0_3298,i_0_3347,i_0_590,i_0_570,i_0_562,i_0_866,i_0_3384,i_0_3349,i_0_510,i_0_519,i_0_602,i_0_601,i_0_606,i_0_792,i_0_435,i_0_796,i_0_852,i_0_610,i_0_609,i_0_800,i_0_795,i_0_797,i_0_599,i_0_798,i_0_600,i_0_853]) ).
cnf(i_0_3407,plain,
~ rdn_positive_less(rdnn(n9),rdnn(n0)),
inference(equality_inference,[],[3402]) ).
cnf(i_0_3408,plain,
~ sum(n122,n102,n0),
inference(equality_inference,[],[3403]) ).
cnf(i_0_3409,plain,
~ less(n0,nn126),
inference(equality_inference,[],[3404]) ).
cnf(i_0_3410,plain,
~ less(n0,nn126),
inference(equality_inference,[],[3405]) ).
cnf(i_0_3411,plain,
~ rdn_positive_less(rdnn(n5),rdnn(n0)),
inference(equality_inference,[],[3406]) ).
cnf(i_0_3412,plain,
n116 != n0,
inference(scs_inference,[],[i_0_3382,i_0_840]) ).
cnf(i_0_3413,plain,
rdn_non_zero(rdnn(n8)),
inference(scs_inference,[],[i_0_3382,i_0_831,i_0_840,i_0_799]) ).
cnf(i_0_3415,plain,
rdn_non_zero(rdn(rdnn(X1),rdnn(n8))),
inference(scs_inference,[],[i_0_3382,i_0_831,i_0_840,i_0_799,i_0_794]) ).
cnf(i_0_3417,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n8))),
inference(scs_inference,[],[i_0_3382,i_0_831,i_0_840,i_0_799,i_0_794,i_0_793]) ).
cnf(i_0_3419,plain,
rdn(rdnn(X1),rdnn(n8)) != rdnn(n0),
inference(scs_inference,[],[i_0_3382,i_0_831,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402]) ).
cnf(i_0_3420,plain,
~ difference(nn10,n14,nn14),
inference(scs_inference,[],[i_0_3372,i_0_3382,i_0_831,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603]) ).
cnf(i_0_3422,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n8)),rdn(rdnn(X2),rdnn(n9))),
inference(scs_inference,[],[i_0_3372,i_0_3382,i_0_831,i_0_820,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607]) ).
cnf(i_0_3424,plain,
rdn_positive_less(rdn(rdnn(n8),rdnn(n8)),rdn(rdnn(n9),rdnn(n8))),
inference(scs_inference,[],[i_0_3372,i_0_3382,i_0_831,i_0_820,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604]) ).
cnf(i_0_3426,plain,
~ sum(nn116,n0,n0),
inference(scs_inference,[],[i_0_3322,i_0_3372,i_0_3382,i_0_831,i_0_3115,i_0_820,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599]) ).
cnf(i_0_3428,plain,
rdn_positive_less(rdnn(n0),rdnn(n2)),
inference(scs_inference,[],[i_0_3322,i_0_3372,i_0_3382,i_0_831,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608]) ).
cnf(i_0_3430,plain,
~ sum(n107,nn107,nn116),
inference(scs_inference,[],[i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_831,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601]) ).
cnf(i_0_3432,plain,
sum(n123,nn123,n0),
inference(scs_inference,[],[i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_574,i_0_546,i_0_831,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_3434,plain,
~ rdn_translate(n123,rdn_neg(X1)),
inference(scs_inference,[],[i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_574,i_0_546,i_0_831,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792]) ).
cnf(i_0_3437,plain,
rdn_add_with_carry(rdnn(n5),rdnn(n2),rdnn(n0),rdnn(n7)),
inference(scs_inference,[],[i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_574,i_0_515,i_0_520,i_0_546,i_0_831,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435]) ).
cnf(i_0_3439,plain,
~ sum(n0,n116,n0),
inference(scs_inference,[],[i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_574,i_0_515,i_0_520,i_0_546,i_0_831,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600]) ).
cnf(i_0_3441,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n9),rdnn(n9),rdn(rdnn(n9),rdnn(n1))),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_574,i_0_515,i_0_520,i_0_530,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434]) ).
cnf(i_0_3443,plain,
sum(nn123,n123,n0),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_574,i_0_515,i_0_520,i_0_530,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598]) ).
cnf(i_0_3445,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1))),rdn(rdnn(n8),rdn(rdnn(n1),rdnn(n1)))),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_574,i_0_551,i_0_515,i_0_520,i_0_530,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610]) ).
cnf(i_0_3448,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1))),rdn(rdnn(n8),rdn(rdnn(n0),rdnn(n1)))),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_574,i_0_589,i_0_551,i_0_515,i_0_520,i_0_530,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3451,plain,
sum(nn4,nn4,nn8),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_1546,i_0_574,i_0_589,i_0_551,i_0_515,i_0_520,i_0_530,i_0_802,i_0_806,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439]) ).
cnf(i_0_3453,plain,
sum(n4,n4,n8),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_1546,i_0_574,i_0_589,i_0_551,i_0_515,i_0_520,i_0_530,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440]) ).
cnf(i_0_3455,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n0),rdn(rdnn(n0),rdnn(n8)),rdn(rdnn(n0),rdnn(n8))),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_551,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433]) ).
cnf(i_0_3457,plain,
rdn_add_with_carry(rdnn(n0),rdn(rdnn(n0),rdnn(n8)),rdnn(n0),rdn(rdnn(n0),rdnn(n8))),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_551,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433,i_0_436]) ).
cnf(i_0_3460,plain,
nn127 != n123,
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_1890,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_542,i_0_551,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433,i_0_436,i_0_844,i_0_855]) ).
cnf(i_0_3461,plain,
rdn_pos(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1)))) != rdn_neg(rdn(rdnn(n7),rdn(rdnn(n2),rdnn(n1)))),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_1890,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_542,i_0_551,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433,i_0_436,i_0_844,i_0_855,i_0_856]) ).
cnf(i_0_3464,plain,
~ less_or_equal(n0,nn107),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_3389,i_0_3391,i_0_1890,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_542,i_0_551,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433,i_0_436,i_0_844,i_0_855,i_0_856,i_0_791,i_0_796]) ).
cnf(i_0_3466,plain,
rdn(rdnn(X1),rdnn(n8)) != rdnn(n9),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_3389,i_0_3391,i_0_1890,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_542,i_0_551,i_0_880,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433,i_0_436,i_0_844,i_0_855,i_0_856,i_0_791,i_0_796,i_0_858]) ).
cnf(i_0_3467,plain,
n105 != n0,
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_3389,i_0_3391,i_0_1890,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_542,i_0_551,i_0_3353,i_0_880,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_3256,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433,i_0_436,i_0_844,i_0_855,i_0_856,i_0_791,i_0_796,i_0_858,i_0_852]) ).
cnf(i_0_3468,plain,
rdnn(n9) != rdn(rdnn(n0),rdnn(n8)),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_3389,i_0_3391,i_0_1890,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_542,i_0_551,i_0_3353,i_0_880,i_0_1558,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_3256,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433,i_0_436,i_0_844,i_0_855,i_0_856,i_0_791,i_0_796,i_0_858,i_0_852,i_0_857]) ).
cnf(i_0_3469,plain,
sum(n9,nn8,n1),
inference(scs_inference,[],[i_0_441,i_0_3322,i_0_3372,i_0_3374,i_0_3382,i_0_3389,i_0_3391,i_0_1890,i_0_909,i_0_1546,i_0_2836,i_0_574,i_0_589,i_0_542,i_0_551,i_0_3353,i_0_880,i_0_1558,i_0_515,i_0_520,i_0_530,i_0_540,i_0_802,i_0_806,i_0_811,i_0_815,i_0_546,i_0_831,i_0_818,i_0_3256,i_0_810,i_0_459,i_0_3115,i_0_820,i_0_828,i_0_827,i_0_866,i_0_3435,i_0_3446,i_0_840,i_0_799,i_0_794,i_0_793,i_0_3402,i_0_603,i_0_607,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_435,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_439,i_0_440,i_0_433,i_0_436,i_0_844,i_0_855,i_0_856,i_0_791,i_0_796,i_0_858,i_0_852,i_0_857,i_0_438]) ).
cnf(i_0_3472,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n3),rdnn(n3),rdnn(n7)),
inference(equality_inference,[],[3459]) ).
cnf(i_0_3473,plain,
rdn(rdnn(X1),rdnn(n8)) != rdnn(n2),
inference(scs_inference,[],[i_0_3417,i_0_3360]) ).
cnf(i_0_3474,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n8))),
inference(rename_variables,[],[i_0_3417]) ).
cnf(i_0_3475,plain,
rdn_non_zero(rdnn(n7)),
inference(scs_inference,[],[i_0_3417,i_0_832,i_0_3360,i_0_799]) ).
cnf(i_0_3477,plain,
rdn_non_zero(rdn(rdnn(X1),rdn(rdnn(X2),rdnn(n8)))),
inference(scs_inference,[],[i_0_3417,i_0_3415,i_0_832,i_0_3360,i_0_799,i_0_794]) ).
cnf(i_0_3479,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdn(rdnn(X3),rdnn(n8)))),
inference(scs_inference,[],[i_0_3417,i_0_3415,i_0_832,i_0_3360,i_0_799,i_0_794,i_0_793]) ).
cnf(i_0_3481,plain,
~ difference(n0,n0,nn116),
inference(scs_inference,[],[i_0_3395,i_0_3417,i_0_3415,i_0_832,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603]) ).
cnf(i_0_3483,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n0)),rdn(rdnn(X2),rdnn(n2))),
inference(scs_inference,[],[i_0_3395,i_0_3428,i_0_3417,i_0_3415,i_0_832,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607]) ).
cnf(i_0_3485,plain,
n123 != nn127,
inference(scs_inference,[],[i_0_3395,i_0_3460,i_0_3428,i_0_3417,i_0_3415,i_0_832,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840]) ).
cnf(i_0_3486,plain,
rdn_positive_less(rdn(rdnn(n0),rdnn(n8)),rdn(rdnn(n2),rdnn(n8))),
inference(scs_inference,[],[i_0_3395,i_0_3460,i_0_3413,i_0_3428,i_0_3417,i_0_3415,i_0_832,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604]) ).
cnf(i_0_3488,plain,
~ sum(nn127,nn123,n0),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3460,i_0_3413,i_0_3428,i_0_3417,i_0_3415,i_0_832,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599]) ).
cnf(i_0_3490,plain,
rdn_positive_less(rdnn(n7),rdnn(n9)),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3460,i_0_3413,i_0_3428,i_0_3417,i_0_3415,i_0_832,i_0_820,i_0_821,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608]) ).
cnf(i_0_3492,plain,
~ sum(n123,nn123,n105),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3460,i_0_3413,i_0_3428,i_0_3417,i_0_3415,i_0_3340,i_0_832,i_0_820,i_0_821,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601]) ).
cnf(i_0_3494,plain,
~ rdn_translate(nn116,rdn_neg(rdnn(n0))),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3460,i_0_3413,i_0_3428,i_0_3417,i_0_3415,i_0_3340,i_0_832,i_0_819,i_0_820,i_0_821,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_3496,plain,
~ rdn_translate(n104,rdn_neg(X1)),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3460,i_0_3413,i_0_3428,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_832,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792]) ).
cnf(i_0_3499,plain,
~ sum(nn123,nn127,n0),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3413,i_0_3428,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_832,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600]) ).
cnf(i_0_3501,plain,
rdn_add_with_carry(rdnn(n9),rdnn(n9),rdnn(n1),rdn(rdnn(n9),rdnn(n1))),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3413,i_0_3428,i_0_449,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_531,i_0_832,i_0_530,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434]) ).
cnf(i_0_3503,plain,
sum(nn8,n9,n1),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3469,i_0_3413,i_0_3428,i_0_449,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_531,i_0_832,i_0_530,i_0_802,i_0_810,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598]) ).
cnf(i_0_3505,plain,
sum(nn3,nn6,nn9),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3469,i_0_1761,i_0_3413,i_0_3428,i_0_449,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_531,i_0_804,i_0_832,i_0_530,i_0_807,i_0_802,i_0_801,i_0_810,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_439]) ).
cnf(i_0_3507,plain,
~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n1),rdnn(n1)),rdnn(n0)),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3469,i_0_1761,i_0_3413,i_0_3428,i_0_449,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_531,i_0_804,i_0_789,i_0_832,i_0_530,i_0_807,i_0_788,i_0_1140,i_0_802,i_0_801,i_0_810,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_439,i_0_440]) ).
cnf(i_0_3510,plain,
~ rdn_translate(nn2,rdn_neg(rdnn(n0))),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3469,i_0_2019,i_0_1761,i_0_3413,i_0_3428,i_0_449,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_531,i_0_804,i_0_808,i_0_789,i_0_832,i_0_530,i_0_807,i_0_788,i_0_1140,i_0_802,i_0_801,i_0_810,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3497,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_439,i_0_440,i_0_845,i_0_610]) ).
cnf(i_0_3513,plain,
~ rdn_translate(nn107,rdn_pos(rdnn(n2))),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3469,i_0_2019,i_0_1761,i_0_3413,i_0_3428,i_0_449,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_531,i_0_804,i_0_808,i_0_789,i_0_3391,i_0_832,i_0_530,i_0_807,i_0_788,i_0_1140,i_0_802,i_0_801,i_0_810,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3497,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_439,i_0_440,i_0_845,i_0_610,i_0_609]) ).
cnf(i_0_3515,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n5),rdn(rdnn(n0),rdnn(n8)),rdn(rdnn(n5),rdnn(n8))),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3469,i_0_2019,i_0_1761,i_0_3413,i_0_3428,i_0_449,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_2836,i_0_531,i_0_804,i_0_808,i_0_789,i_0_3391,i_0_832,i_0_490,i_0_530,i_0_540,i_0_807,i_0_788,i_0_1140,i_0_802,i_0_801,i_0_810,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3497,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_439,i_0_440,i_0_845,i_0_610,i_0_609,i_0_433]) ).
cnf(i_0_3517,plain,
rdn_add_with_carry(rdnn(n0),rdn(rdnn(n0),rdnn(n8)),rdnn(n5),rdn(rdnn(n5),rdnn(n8))),
inference(scs_inference,[],[i_0_3395,i_0_3432,i_0_3443,i_0_3460,i_0_3469,i_0_2019,i_0_1761,i_0_3413,i_0_3428,i_0_449,i_0_3417,i_0_3415,i_0_593,i_0_3340,i_0_2836,i_0_531,i_0_804,i_0_808,i_0_789,i_0_3391,i_0_832,i_0_490,i_0_530,i_0_540,i_0_807,i_0_788,i_0_1140,i_0_802,i_0_801,i_0_810,i_0_819,i_0_820,i_0_821,i_0_866,i_0_3497,i_0_3360,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_439,i_0_440,i_0_845,i_0_610,i_0_609,i_0_433,i_0_436]) ).
cnf(i_0_3728,plain,
~ rdn_translate(n123,rdn_neg(X1)),
inference(rename_variables,[],[i_0_3434]) ).
cnf(i_0_3763,plain,
rdn_non_zero(rdn(rdnn(X1),rdnn(n8))),
inference(rename_variables,[],[i_0_3415]) ).
cnf(i_0_3521,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n3),rdnn(n0),rdnn(n3)),
inference(equality_inference,[],[3509]) ).
cnf(i_0_3522,plain,
rdn(rdnn(X1),rdn(rdnn(X2),rdnn(n8))) != rdnn(n1),
inference(scs_inference,[],[i_0_3479,i_0_3321]) ).
cnf(i_0_3523,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdn(rdnn(X3),rdnn(n8)))),
inference(rename_variables,[],[i_0_3479]) ).
cnf(i_0_3524,plain,
rdn_non_zero(rdnn(n6)),
inference(scs_inference,[],[i_0_3479,i_0_833,i_0_3321,i_0_799]) ).
cnf(i_0_3526,plain,
rdn_non_zero(rdn(rdnn(X1),rdnn(n7))),
inference(scs_inference,[],[i_0_3475,i_0_3479,i_0_833,i_0_3321,i_0_799,i_0_794]) ).
cnf(i_0_3528,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n7))),
inference(scs_inference,[],[i_0_3475,i_0_3479,i_0_833,i_0_3321,i_0_799,i_0_794,i_0_793]) ).
cnf(i_0_3530,plain,
~ difference(n0,n107,n0),
inference(scs_inference,[],[i_0_3399,i_0_3475,i_0_3479,i_0_833,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603]) ).
cnf(i_0_3532,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n7)),rdn(rdnn(X2),rdnn(n9))),
inference(scs_inference,[],[i_0_3399,i_0_3475,i_0_3490,i_0_3479,i_0_833,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607]) ).
cnf(i_0_3534,plain,
rdnn(n0) != rdn(rdnn(X1),rdnn(n8)),
inference(scs_inference,[],[i_0_3399,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_833,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840]) ).
cnf(i_0_3535,plain,
n0 != n107,
inference(scs_inference,[],[i_0_3399,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_3142,i_0_833,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860]) ).
cnf(i_0_3536,plain,
rdn_positive_less(rdn(rdnn(n7),rdnn(n7)),rdn(rdnn(n9),rdnn(n7))),
inference(scs_inference,[],[i_0_3399,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_3142,i_0_833,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604]) ).
cnf(i_0_3538,plain,
~ sum(nn126,n0,n0),
inference(scs_inference,[],[i_0_3359,i_0_3399,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_3142,i_0_833,i_0_3115,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599]) ).
cnf(i_0_3540,plain,
rdn_positive_less(rdnn(n6),rdnn(n9)),
inference(scs_inference,[],[i_0_3359,i_0_3399,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_3142,i_0_833,i_0_3115,i_0_822,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608]) ).
cnf(i_0_3542,plain,
~ sum(n126,nn126,nn126),
inference(scs_inference,[],[i_0_3359,i_0_3399,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_3332,i_0_3142,i_0_833,i_0_3115,i_0_822,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601]) ).
cnf(i_0_3544,plain,
sum(n115,nn115,n0),
inference(scs_inference,[],[i_0_3359,i_0_3399,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_582,i_0_3332,i_0_3142,i_0_554,i_0_833,i_0_3115,i_0_822,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_3546,plain,
~ rdn_translate(n115,rdn_neg(X1)),
inference(scs_inference,[],[i_0_3359,i_0_3399,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_582,i_0_3332,i_0_3142,i_0_554,i_0_833,i_0_3115,i_0_822,i_0_866,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792]) ).
cnf(i_0_3549,plain,
~ sum(n0,n105,n0),
inference(scs_inference,[],[i_0_3359,i_0_3399,i_0_3467,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_582,i_0_3332,i_0_3142,i_0_554,i_0_833,i_0_3115,i_0_822,i_0_866,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600]) ).
cnf(i_0_3551,plain,
rdn_add_with_carry(rdnn(n9),rdnn(n3),rdnn(n6),rdn(rdnn(n8),rdnn(n1))),
inference(scs_inference,[],[i_0_441,i_0_3359,i_0_3399,i_0_3467,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_582,i_0_3332,i_0_3142,i_0_539,i_0_554,i_0_833,i_0_504,i_0_3115,i_0_822,i_0_866,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434]) ).
cnf(i_0_3553,plain,
~ sum(n0,nn126,n0),
inference(scs_inference,[],[i_0_441,i_0_3359,i_0_3399,i_0_3467,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_582,i_0_3332,i_0_3142,i_0_539,i_0_554,i_0_833,i_0_504,i_0_543,i_0_3115,i_0_819,i_0_822,i_0_866,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598]) ).
cnf(i_0_3555,plain,
~ rdn_translate(n8,rdn_neg(rdnn(n9))),
inference(scs_inference,[],[i_0_441,i_0_3359,i_0_3399,i_0_3467,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_582,i_0_3332,i_0_3142,i_0_539,i_0_554,i_0_833,i_0_504,i_0_803,i_0_543,i_0_926,i_0_3115,i_0_819,i_0_822,i_0_866,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610]) ).
cnf(i_0_3557,plain,
~ rdn_translate(n9,rdn_pos(rdnn(n7))),
inference(scs_inference,[],[i_0_441,i_0_3359,i_0_3399,i_0_3467,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_582,i_0_3332,i_0_3142,i_0_539,i_0_554,i_0_833,i_0_504,i_0_803,i_0_543,i_0_926,i_0_810,i_0_3115,i_0_819,i_0_822,i_0_866,i_0_3547,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3560,plain,
~ rdn_translate(n107,rdn_pos(rdnn(n0))),
inference(scs_inference,[],[i_0_441,i_0_3359,i_0_3399,i_0_3467,i_0_3105,i_0_3475,i_0_3490,i_0_3419,i_0_3479,i_0_582,i_0_3332,i_0_3142,i_0_539,i_0_554,i_0_833,i_0_504,i_0_803,i_0_543,i_0_926,i_0_810,i_0_3115,i_0_819,i_0_822,i_0_866,i_0_3547,i_0_3321,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_860,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440]) ).
cnf(i_0_3564,plain,
less_or_equal(nn9,n9),
inference(equality_inference,[],[3562]) ).
cnf(i_0_3565,plain,
rdn_digit_add(rdnn(n9),rdnn(n9),rdnn(n8),rdnn(n1)),
inference(equality_inference,[],[3563]) ).
cnf(i_0_3566,plain,
rdn(rdnn(X1),rdnn(n7)) != rdnn(n8),
inference(scs_inference,[],[i_0_3528,i_0_3284]) ).
cnf(i_0_3567,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n7))),
inference(rename_variables,[],[i_0_3528]) ).
cnf(i_0_3568,plain,
rdn_non_zero(rdnn(n5)),
inference(scs_inference,[],[i_0_3528,i_0_834,i_0_3284,i_0_799]) ).
cnf(i_0_3570,plain,
rdn_non_zero(rdn(rdnn(X1),rdnn(n6))),
inference(scs_inference,[],[i_0_3524,i_0_3528,i_0_834,i_0_3284,i_0_799,i_0_794]) ).
cnf(i_0_3572,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n6))),
inference(scs_inference,[],[i_0_3524,i_0_3528,i_0_834,i_0_3284,i_0_799,i_0_794,i_0_793]) ).
cnf(i_0_3574,plain,
~ difference(n0,n0,n116),
inference(scs_inference,[],[i_0_3439,i_0_3524,i_0_3528,i_0_834,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603]) ).
cnf(i_0_3576,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n6)),rdn(rdnn(X2),rdnn(n9))),
inference(scs_inference,[],[i_0_3439,i_0_3524,i_0_3540,i_0_3528,i_0_834,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607]) ).
cnf(i_0_3578,plain,
n107 != n0,
inference(scs_inference,[],[i_0_3439,i_0_3535,i_0_3524,i_0_3540,i_0_3528,i_0_834,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840]) ).
cnf(i_0_3579,plain,
rdn_positive_less(rdn(rdnn(n6),rdnn(n6)),rdn(rdnn(n9),rdnn(n6))),
inference(scs_inference,[],[i_0_3439,i_0_3535,i_0_3524,i_0_3540,i_0_3528,i_0_834,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604]) ).
cnf(i_0_3581,plain,
~ sum(nn3,n4,n8),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_3528,i_0_1007,i_0_834,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599]) ).
cnf(i_0_3583,plain,
rdn_positive_less(rdnn(n0),rdnn(n3)),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_3528,i_0_1007,i_0_834,i_0_3428,i_0_826,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608]) ).
cnf(i_0_3585,plain,
~ sum(n4,n4,nn7),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_3528,i_0_1007,i_0_924,i_0_834,i_0_3428,i_0_826,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601]) ).
cnf(i_0_3587,plain,
~ rdn_translate(n116,rdn_neg(rdnn(n0))),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_3528,i_0_1007,i_0_924,i_0_834,i_0_3428,i_0_826,i_0_819,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_3589,plain,
~ rdn_translate(n125,rdn_neg(X1)),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_3528,i_0_572,i_0_1007,i_0_924,i_0_834,i_0_3428,i_0_826,i_0_819,i_0_866,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792]) ).
cnf(i_0_3592,plain,
~ sum(n4,nn3,n8),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_3528,i_0_572,i_0_1007,i_0_924,i_0_834,i_0_3428,i_0_826,i_0_819,i_0_866,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600]) ).
cnf(i_0_3594,plain,
rdn_add_with_carry(rdnn(n9),rdnn(n0),rdnn(n1),rdn(rdnn(n0),rdnn(n1))),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_521,i_0_3528,i_0_572,i_0_1007,i_0_924,i_0_834,i_0_539,i_0_3428,i_0_826,i_0_819,i_0_866,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434]) ).
cnf(i_0_3596,plain,
sum(nn10,n10,n0),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_521,i_0_3528,i_0_572,i_0_1007,i_0_924,i_0_790,i_0_834,i_0_539,i_0_700,i_0_3428,i_0_1075,i_0_826,i_0_819,i_0_866,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598]) ).
cnf(i_0_3598,plain,
~ rdn_positive_less(rdn(rdnn(n8),rdn(rdnn(n2),rdnn(n1))),rdn(rdnn(n8),rdn(rdnn(n2),rdnn(n1)))),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_521,i_0_3528,i_0_572,i_0_541,i_0_1007,i_0_924,i_0_790,i_0_834,i_0_539,i_0_700,i_0_3428,i_0_1075,i_0_826,i_0_819,i_0_866,i_0_3590,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610]) ).
cnf(i_0_3601,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1))),rdn(rdnn(n9),rdn(rdnn(n1),rdnn(n1)))),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_521,i_0_3528,i_0_572,i_0_578,i_0_541,i_0_1007,i_0_924,i_0_790,i_0_834,i_0_539,i_0_700,i_0_3428,i_0_1075,i_0_826,i_0_819,i_0_866,i_0_3590,i_0_3599,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3604,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n0),rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))),rdnn(n0)),
inference(scs_inference,[],[i_0_3439,i_0_3453,i_0_3535,i_0_3524,i_0_3540,i_0_521,i_0_3528,i_0_572,i_0_578,i_0_541,i_0_1007,i_0_924,i_0_790,i_0_834,i_0_539,i_0_581,i_0_700,i_0_3428,i_0_1075,i_0_826,i_0_819,i_0_866,i_0_3590,i_0_3599,i_0_3284,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440]) ).
cnf(i_0_3608,plain,
less_or_equal(nn7,n8),
inference(equality_inference,[],[3606]) ).
cnf(i_0_3609,plain,
rdn_digit_add(rdnn(n9),rdnn(n9),rdnn(n8),rdnn(n1)),
inference(equality_inference,[],[3607]) ).
cnf(i_0_3610,plain,
rdn(rdnn(X1),rdnn(n6)) != rdnn(n7),
inference(scs_inference,[],[i_0_3572,i_0_3242]) ).
cnf(i_0_3611,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n6))),
inference(rename_variables,[],[i_0_3572]) ).
cnf(i_0_3612,plain,
rdn_non_zero(rdnn(n4)),
inference(scs_inference,[],[i_0_3572,i_0_835,i_0_3242,i_0_799]) ).
cnf(i_0_3614,plain,
rdn_non_zero(rdn(rdnn(X1),rdnn(n5))),
inference(scs_inference,[],[i_0_3568,i_0_3572,i_0_835,i_0_3242,i_0_799,i_0_794]) ).
cnf(i_0_3616,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n5))),
inference(scs_inference,[],[i_0_3568,i_0_3572,i_0_835,i_0_3242,i_0_799,i_0_794,i_0_793]) ).
cnf(i_0_3618,plain,
~ difference(n0,nn123,nn127),
inference(scs_inference,[],[i_0_3499,i_0_3568,i_0_3572,i_0_835,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603]) ).
cnf(i_0_3620,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n0)),rdn(rdnn(X2),rdnn(n3))),
inference(scs_inference,[],[i_0_3499,i_0_3568,i_0_3583,i_0_3572,i_0_835,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607]) ).
cnf(i_0_3622,plain,
rdnn(n9) != rdn(rdnn(X1),rdnn(n8)),
inference(scs_inference,[],[i_0_3499,i_0_3568,i_0_3583,i_0_3466,i_0_3572,i_0_835,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840]) ).
cnf(i_0_3623,plain,
rdn_positive_less(rdn(rdnn(n0),rdnn(n5)),rdn(rdnn(n3),rdnn(n5))),
inference(scs_inference,[],[i_0_3499,i_0_3568,i_0_3583,i_0_3466,i_0_3572,i_0_835,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604]) ).
cnf(i_0_3625,plain,
~ sum(nn107,n0,n0),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3568,i_0_3583,i_0_3466,i_0_3572,i_0_835,i_0_3115,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599]) ).
cnf(i_0_3627,plain,
rdn_positive_less(rdnn(n0),rdnn(n4)),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3568,i_0_3583,i_0_3466,i_0_3572,i_0_835,i_0_3115,i_0_825,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608]) ).
cnf(i_0_3629,plain,
~ sum(n115,nn115,nn107),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3568,i_0_3583,i_0_3466,i_0_3572,i_0_835,i_0_3115,i_0_825,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601]) ).
cnf(i_0_3631,plain,
sum(n106,nn106,n0),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3568,i_0_3583,i_0_3466,i_0_3572,i_0_591,i_0_563,i_0_835,i_0_3115,i_0_825,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_3633,plain,
~ rdn_translate(n106,rdn_neg(X1)),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3568,i_0_3583,i_0_3466,i_0_3572,i_0_591,i_0_563,i_0_835,i_0_3115,i_0_825,i_0_866,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792]) ).
cnf(i_0_3636,plain,
~ sum(n0,n107,n0),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3568,i_0_3583,i_0_3466,i_0_3572,i_0_591,i_0_563,i_0_835,i_0_3115,i_0_825,i_0_866,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600]) ).
cnf(i_0_3638,plain,
rdn_add_with_carry(rdnn(n8),rdnn(n8),rdnn(n2),rdn(rdnn(n8),rdnn(n1))),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3568,i_0_3583,i_0_458,i_0_3466,i_0_3572,i_0_591,i_0_532,i_0_563,i_0_835,i_0_530,i_0_3115,i_0_825,i_0_866,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434]) ).
cnf(i_0_3640,plain,
sum(nn115,n115,n0),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3568,i_0_3583,i_0_458,i_0_3466,i_0_3572,i_0_591,i_0_532,i_0_563,i_0_835,i_0_582,i_0_554,i_0_530,i_0_3115,i_0_825,i_0_866,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598]) ).
cnf(i_0_3642,plain,
~ rdn_translate(nn3,rdn_neg(rdnn(n0))),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3568,i_0_3583,i_0_458,i_0_3466,i_0_3572,i_0_591,i_0_532,i_0_563,i_0_835,i_0_582,i_0_554,i_0_530,i_0_807,i_0_3115,i_0_825,i_0_866,i_0_3634,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610]) ).
cnf(i_0_3645,plain,
~ rdn_translate(nn107,rdn_pos(rdnn(n3))),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3568,i_0_3583,i_0_458,i_0_3466,i_0_3572,i_0_591,i_0_532,i_0_563,i_0_835,i_0_582,i_0_554,i_0_3391,i_0_530,i_0_807,i_0_3115,i_0_825,i_0_819,i_0_866,i_0_3634,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3647,plain,
~ rdn_translate(nn7,rdn_pos(rdnn(n8))),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3585,i_0_3568,i_0_3583,i_0_458,i_0_3466,i_0_3572,i_0_591,i_0_532,i_0_563,i_0_835,i_0_1546,i_0_815,i_0_582,i_0_554,i_0_3391,i_0_530,i_0_807,i_0_3115,i_0_825,i_0_819,i_0_866,i_0_3634,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440]) ).
cnf(i_0_3649,plain,
rdn_add_with_carry(rdnn(n3),rdnn(n1),rdn(rdnn(n1),rdnn(n5)),rdn(rdnn(n5),rdnn(n5))),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3585,i_0_2940,i_0_3568,i_0_3583,i_0_458,i_0_3466,i_0_3572,i_0_591,i_0_517,i_0_529,i_0_532,i_0_563,i_0_835,i_0_1546,i_0_815,i_0_582,i_0_554,i_0_3391,i_0_530,i_0_540,i_0_807,i_0_3115,i_0_825,i_0_819,i_0_866,i_0_3634,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433]) ).
cnf(i_0_3651,plain,
rdn_add_with_carry(rdnn(n3),rdn(rdnn(n1),rdnn(n5)),rdnn(n1),rdn(rdnn(n5),rdnn(n5))),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3585,i_0_2940,i_0_3568,i_0_3583,i_0_458,i_0_3466,i_0_3572,i_0_591,i_0_517,i_0_529,i_0_532,i_0_563,i_0_835,i_0_1546,i_0_815,i_0_582,i_0_554,i_0_3391,i_0_530,i_0_540,i_0_807,i_0_3115,i_0_825,i_0_819,i_0_866,i_0_3634,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433,i_0_436]) ).
cnf(i_0_3654,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n6))),
inference(rename_variables,[],[i_0_3572]) ).
cnf(i_0_3653,plain,
rdn(rdnn(X1),rdnn(n6)) != rdnn(n0),
inference(scs_inference,[],[i_0_3401,i_0_3499,i_0_3544,i_0_3578,i_0_3585,i_0_2940,i_0_3568,i_0_3583,i_0_458,i_0_3466,i_0_3572,i_0_3611,i_0_591,i_0_517,i_0_529,i_0_532,i_0_563,i_0_835,i_0_1546,i_0_815,i_0_582,i_0_554,i_0_3391,i_0_530,i_0_540,i_0_807,i_0_3115,i_0_825,i_0_819,i_0_866,i_0_3634,i_0_3242,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433,i_0_436,i_0_3402]) ).
cnf(i_0_3662,plain,
rdn_non_zero(rdn(rdnn(X1),rdnn(n4))),
inference(scs_inference,[],[i_0_3612,i_0_836,i_0_799,i_0_794]) ).
cnf(i_0_3664,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n4))),
inference(scs_inference,[],[i_0_3612,i_0_836,i_0_799,i_0_794,i_0_793]) ).
cnf(i_0_3666,plain,
~ difference(n0,nn116,n0),
inference(scs_inference,[],[i_0_3426,i_0_3612,i_0_836,i_0_799,i_0_794,i_0_793,i_0_603]) ).
cnf(i_0_3668,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n0)),rdn(rdnn(X2),rdnn(n4))),
inference(scs_inference,[],[i_0_3426,i_0_3612,i_0_3627,i_0_836,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607]) ).
cnf(i_0_3670,plain,
rdnn(n2) != rdn(rdnn(X1),rdnn(n8)),
inference(scs_inference,[],[i_0_3426,i_0_3612,i_0_3627,i_0_3473,i_0_836,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840]) ).
cnf(i_0_3671,plain,
rdn_positive_less(rdn(rdnn(n0),rdnn(n4)),rdn(rdnn(n4),rdnn(n4))),
inference(scs_inference,[],[i_0_3426,i_0_3612,i_0_3627,i_0_3473,i_0_836,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604]) ).
cnf(i_0_3673,plain,
~ sum(n4,nn6,nn9),
inference(scs_inference,[],[i_0_3426,i_0_3505,i_0_3612,i_0_3627,i_0_3473,i_0_1019,i_0_836,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599]) ).
cnf(i_0_3675,plain,
rdn_positive_less(rdnn(n5),rdnn(n9)),
inference(scs_inference,[],[i_0_3426,i_0_3505,i_0_3612,i_0_3627,i_0_3473,i_0_1019,i_0_836,i_0_3540,i_0_823,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608]) ).
cnf(i_0_3677,plain,
~ sum(nn3,nn6,n9),
inference(scs_inference,[],[i_0_3426,i_0_3505,i_0_3612,i_0_3627,i_0_3473,i_0_1019,i_0_874,i_0_836,i_0_3540,i_0_823,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601]) ).
cnf(i_0_3679,plain,
~ rdn_translate(nn127,rdn_pos(rdn(rdnn(n3),rdn(rdnn(n2),rdnn(n1))))),
inference(scs_inference,[],[i_0_3426,i_0_3488,i_0_3505,i_0_3612,i_0_3627,i_0_3473,i_0_1019,i_0_874,i_0_836,i_0_3540,i_0_546,i_0_823,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606]) ).
cnf(i_0_3681,plain,
~ rdn_translate(n117,rdn_neg(X1)),
inference(scs_inference,[],[i_0_3426,i_0_3488,i_0_3505,i_0_3612,i_0_3627,i_0_3473,i_0_580,i_0_1019,i_0_874,i_0_836,i_0_3540,i_0_546,i_0_823,i_0_866,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792]) ).
cnf(i_0_3684,plain,
~ sum(nn8,nn9,n1),
inference(scs_inference,[],[i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3612,i_0_3627,i_0_3473,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_836,i_0_3540,i_0_546,i_0_823,i_0_866,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600]) ).
cnf(i_0_3686,plain,
rdn_add_with_carry(rdnn(n9),rdnn(n2),rdnn(n7),rdn(rdnn(n8),rdnn(n1))),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3612,i_0_3627,i_0_3473,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_836,i_0_3540,i_0_513,i_0_539,i_0_546,i_0_823,i_0_866,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434]) ).
cnf(i_0_3688,plain,
~ sum(n0,nn107,n0),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3625,i_0_3612,i_0_3627,i_0_3473,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_836,i_0_3540,i_0_513,i_0_539,i_0_546,i_0_562,i_0_823,i_0_819,i_0_866,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598]) ).
cnf(i_0_3690,plain,
~ rdn_translate(nn6,rdn_neg(rdn(rdnn(X1),rdnn(n5)))),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3625,i_0_3612,i_0_3627,i_0_3473,i_0_3616,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_836,i_0_3540,i_0_513,i_0_804,i_0_539,i_0_546,i_0_562,i_0_823,i_0_819,i_0_866,i_0_3682,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610]) ).
cnf(i_0_3691,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n5))),
inference(rename_variables,[],[i_0_3616]) ).
cnf(i_0_3694,plain,
~ rdn_translate(n4,rdn_pos(rdnn(n0))),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3625,i_0_3612,i_0_3627,i_0_3473,i_0_3616,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_836,i_0_3540,i_0_513,i_0_804,i_0_539,i_0_815,i_0_546,i_0_562,i_0_823,i_0_819,i_0_866,i_0_3682,i_0_3692,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3697,plain,
~ rdn_add_with_carry(rdnn(n0),rdn(rdnn(n8),rdnn(n9)),rdn(rdnn(n9),rdnn(n9)),rdnn(n0)),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3625,i_0_3612,i_0_3627,i_0_3473,i_0_3616,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_701,i_0_836,i_0_3540,i_0_513,i_0_804,i_0_702,i_0_1183,i_0_539,i_0_815,i_0_546,i_0_562,i_0_823,i_0_819,i_0_866,i_0_3682,i_0_3692,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440]) ).
cnf(i_0_3699,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n1),rdn(rdnn(n7),rdnn(n8)),rdn(rdnn(n8),rdnn(n8))),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3625,i_0_3612,i_0_3627,i_0_3473,i_0_3616,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_523,i_0_701,i_0_836,i_0_2836,i_0_3540,i_0_513,i_0_804,i_0_702,i_0_1183,i_0_3413,i_0_539,i_0_815,i_0_546,i_0_562,i_0_540,i_0_460,i_0_823,i_0_819,i_0_866,i_0_3682,i_0_3692,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433]) ).
cnf(i_0_3701,plain,
rdn_add_with_carry(rdnn(n0),rdn(rdnn(n1),rdnn(n4)),rdn(rdnn(n7),rdnn(n3)),rdn(rdnn(n8),rdnn(n7))),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3625,i_0_1589,i_0_3612,i_0_3627,i_0_3473,i_0_3616,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_523,i_0_701,i_0_836,i_0_2836,i_0_3540,i_0_513,i_0_804,i_0_702,i_0_1183,i_0_3413,i_0_3475,i_0_539,i_0_815,i_0_546,i_0_562,i_0_540,i_0_460,i_0_823,i_0_819,i_0_866,i_0_3682,i_0_3692,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433,i_0_432]) ).
cnf(i_0_3704,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n5))),
inference(rename_variables,[],[i_0_3616]) ).
cnf(i_0_3703,plain,
rdn(rdnn(X1),rdnn(n5)) != rdnn(n2),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3625,i_0_1589,i_0_3612,i_0_3627,i_0_3473,i_0_3616,i_0_3691,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_523,i_0_701,i_0_836,i_0_2836,i_0_3540,i_0_513,i_0_804,i_0_702,i_0_1183,i_0_3413,i_0_3475,i_0_539,i_0_815,i_0_546,i_0_562,i_0_540,i_0_460,i_0_823,i_0_819,i_0_866,i_0_3682,i_0_3692,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433,i_0_432,i_0_3360]) ).
cnf(i_0_3705,plain,
rdn_add_with_carry(rdnn(n0),rdn(rdnn(n7),rdnn(n8)),rdnn(n1),rdn(rdnn(n8),rdnn(n8))),
inference(scs_inference,[],[i_0_441,i_0_3426,i_0_3488,i_0_3503,i_0_3505,i_0_3625,i_0_1589,i_0_3612,i_0_3627,i_0_3473,i_0_3616,i_0_3691,i_0_580,i_0_1019,i_0_874,i_0_876,i_0_523,i_0_701,i_0_836,i_0_2836,i_0_3540,i_0_513,i_0_804,i_0_702,i_0_1183,i_0_3413,i_0_3475,i_0_539,i_0_815,i_0_546,i_0_562,i_0_540,i_0_460,i_0_823,i_0_819,i_0_866,i_0_3682,i_0_3692,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_604,i_0_599,i_0_608,i_0_601,i_0_606,i_0_792,i_0_600,i_0_434,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433,i_0_432,i_0_3360,i_0_436]) ).
cnf(i_0_3711,plain,
rdn(rdnn(X1),rdnn(n4)) != rdnn(n5),
inference(scs_inference,[],[i_0_3664,i_0_3170]) ).
cnf(i_0_3712,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n4))),
inference(rename_variables,[],[i_0_3664]) ).
cnf(i_0_3713,plain,
rdn_non_zero(rdnn(n2)),
inference(scs_inference,[],[i_0_3664,i_0_837,i_0_3170,i_0_799]) ).
cnf(i_0_3715,plain,
rdn_non_zero(rdn(rdnn(X1),rdnn(n3))),
inference(scs_inference,[],[i_0_3660,i_0_3664,i_0_837,i_0_3170,i_0_799,i_0_794]) ).
cnf(i_0_3717,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n3))),
inference(scs_inference,[],[i_0_3660,i_0_3664,i_0_837,i_0_3170,i_0_799,i_0_794,i_0_793]) ).
cnf(i_0_3719,plain,
~ difference(n0,n0,nn126),
inference(scs_inference,[],[i_0_3553,i_0_3660,i_0_3664,i_0_837,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603]) ).
cnf(i_0_3721,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n5)),rdn(rdnn(X2),rdnn(n9))),
inference(scs_inference,[],[i_0_3553,i_0_3660,i_0_3675,i_0_3664,i_0_837,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607]) ).
cnf(i_0_3723,plain,
rdnn(n8) != rdn(rdnn(X1),rdnn(n7)),
inference(scs_inference,[],[i_0_3553,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_837,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840]) ).
cnf(i_0_3726,plain,
rdnn(n0) != rdn(rdnn(n6),rdn(rdnn(n1),rdnn(n1))),
inference(scs_inference,[],[i_0_3553,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_3105,i_0_837,i_0_3453,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844]) ).
cnf(i_0_3727,plain,
nn108 != n123,
inference(scs_inference,[],[i_0_3553,i_0_3434,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_561,i_0_3105,i_0_837,i_0_3453,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855]) ).
cnf(i_0_3729,plain,
rdn_pos(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1)))) != rdn_neg(X1),
inference(scs_inference,[],[i_0_3553,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_561,i_0_3105,i_0_593,i_0_837,i_0_3453,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856]) ).
cnf(i_0_3730,plain,
rdn_positive_less(rdn(rdnn(n5),rdnn(n3)),rdn(rdnn(n9),rdnn(n3))),
inference(scs_inference,[],[i_0_3553,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_561,i_0_3105,i_0_593,i_0_837,i_0_3453,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604]) ).
cnf(i_0_3732,plain,
~ sum(nn114,n0,n0),
inference(scs_inference,[],[i_0_3553,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_561,i_0_3205,i_0_3105,i_0_593,i_0_837,i_0_3453,i_0_3115,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599]) ).
cnf(i_0_3734,plain,
rdn_positive_less(rdnn(n4),rdnn(n9)),
inference(scs_inference,[],[i_0_3553,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_561,i_0_3205,i_0_3105,i_0_593,i_0_837,i_0_3453,i_0_3115,i_0_824,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608]) ).
cnf(i_0_3736,plain,
rdn_add_with_carry(rdnn(n6),rdnn(n1),rdnn(n0),rdnn(n7)),
inference(scs_inference,[],[i_0_3553,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_561,i_0_3205,i_0_3105,i_0_524,i_0_593,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435]) ).
cnf(i_0_3738,plain,
~ sum(n106,nn106,n116),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_561,i_0_3205,i_0_3105,i_0_524,i_0_593,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601]) ).
cnf(i_0_3740,plain,
sum(n118,nn118,n0),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_579,i_0_561,i_0_3205,i_0_3105,i_0_524,i_0_593,i_0_551,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606]) ).
cnf(i_0_3742,plain,
~ rdn_translate(n118,rdn_neg(X1)),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_579,i_0_561,i_0_3205,i_0_3105,i_0_524,i_0_593,i_0_551,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_866,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792]) ).
cnf(i_0_3745,plain,
~ sum(n0,n124,n0),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3604,i_0_579,i_0_561,i_0_3205,i_0_3306,i_0_3105,i_0_524,i_0_593,i_0_551,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_866,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600]) ).
cnf(i_0_3748,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n4))),
inference(rename_variables,[],[i_0_3664]) ).
cnf(i_0_3751,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n4))),
inference(rename_variables,[],[i_0_3664]) ).
cnf(i_0_3766,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n4))),
inference(rename_variables,[],[i_0_3664]) ).
cnf(i_0_3710,plain,
rdn_digit_add(rdnn(n9),rdnn(n9),rdnn(n8),rdnn(n1)),
inference(equality_inference,[],[3709]) ).
cnf(i_0_3747,plain,
rdn(rdnn(X1),rdnn(n4)) != rdnn(n6),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3712,i_0_3604,i_0_579,i_0_561,i_0_3205,i_0_3306,i_0_2240,i_0_3105,i_0_524,i_0_593,i_0_551,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_866,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858]) ).
cnf(i_0_3749,plain,
n126 != n0,
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3712,i_0_3604,i_0_579,i_0_561,i_0_3205,i_0_3306,i_0_2240,i_0_3105,i_0_524,i_0_593,i_0_551,i_0_3332,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_866,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858,i_0_852]) ).
cnf(i_0_3750,plain,
rdnn(X1) != rdn(rdnn(n0),rdnn(n4)),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3712,i_0_3748,i_0_3604,i_0_579,i_0_561,i_0_3205,i_0_3306,i_0_2240,i_0_2418,i_0_3105,i_0_524,i_0_593,i_0_551,i_0_3332,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_866,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858,i_0_852,i_0_857]) ).
cnf(i_0_3752,plain,
sum(nn118,n118,n0),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3712,i_0_3748,i_0_3604,i_0_579,i_0_561,i_0_3205,i_0_3306,i_0_2240,i_0_2418,i_0_3105,i_0_524,i_0_593,i_0_551,i_0_3332,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_866,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858,i_0_852,i_0_857,i_0_598]) ).
cnf(i_0_3754,plain,
~ rdn_positive_less(rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1))),rdn(rdnn(n9),rdn(rdnn(n0),rdnn(n1)))),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3712,i_0_3748,i_0_3604,i_0_579,i_0_561,i_0_560,i_0_3205,i_0_3306,i_0_2240,i_0_2418,i_0_3105,i_0_524,i_0_593,i_0_551,i_0_3332,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_866,i_0_3743,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858,i_0_852,i_0_857,i_0_598,i_0_610]) ).
cnf(i_0_3757,plain,
~ rdn_translate(n6,rdn_pos(rdnn(n5))),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3712,i_0_3748,i_0_3604,i_0_579,i_0_561,i_0_560,i_0_3205,i_0_3306,i_0_2240,i_0_2418,i_0_3105,i_0_524,i_0_813,i_0_593,i_0_551,i_0_3332,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_823,i_0_866,i_0_3743,i_0_3755,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858,i_0_852,i_0_857,i_0_598,i_0_610,i_0_609]) ).
cnf(i_0_3760,plain,
~ rdn_translate(nn126,rdn_pos(rdnn(n0))),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3712,i_0_3748,i_0_3604,i_0_579,i_0_561,i_0_560,i_0_3205,i_0_3306,i_0_2240,i_0_2418,i_0_3105,i_0_524,i_0_813,i_0_593,i_0_551,i_0_3332,i_0_837,i_0_3453,i_0_530,i_0_3115,i_0_824,i_0_823,i_0_819,i_0_866,i_0_3743,i_0_3755,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858,i_0_852,i_0_857,i_0_598,i_0_610,i_0_609,i_0_440]) ).
cnf(i_0_3765,plain,
rdn(rdnn(X1),rdnn(n4)) != rdnn(n1),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_3566,i_0_3664,i_0_3712,i_0_3748,i_0_3751,i_0_3604,i_0_579,i_0_561,i_0_560,i_0_3205,i_0_3306,i_0_3455,i_0_2240,i_0_2418,i_0_3105,i_0_524,i_0_813,i_0_593,i_0_551,i_0_3332,i_0_837,i_0_3415,i_0_469,i_0_3453,i_0_530,i_0_540,i_0_3115,i_0_824,i_0_823,i_0_819,i_0_866,i_0_3743,i_0_3755,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858,i_0_852,i_0_857,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433,i_0_3321]) ).
cnf(i_0_3770,plain,
rdn_add_with_carry(rdnn(n7),rdnn(n7),rdnn(n3),rdn(rdnn(n7),rdnn(n1))),
inference(scs_inference,[],[i_0_3412,i_0_3553,i_0_3631,i_0_2148,i_0_3434,i_0_3496,i_0_3660,i_0_3675,i_0_467,i_0_3566,i_0_3664,i_0_3712,i_0_3748,i_0_3751,i_0_3604,i_0_579,i_0_561,i_0_560,i_0_3205,i_0_3306,i_0_3455,i_0_2240,i_0_2418,i_0_3105,i_0_524,i_0_533,i_0_813,i_0_593,i_0_551,i_0_3332,i_0_837,i_0_3415,i_0_469,i_0_3453,i_0_530,i_0_540,i_0_3115,i_0_824,i_0_823,i_0_819,i_0_866,i_0_3743,i_0_3755,i_0_3170,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840,i_0_791,i_0_844,i_0_855,i_0_856,i_0_604,i_0_599,i_0_608,i_0_435,i_0_601,i_0_606,i_0_792,i_0_600,i_0_858,i_0_852,i_0_857,i_0_598,i_0_610,i_0_609,i_0_440,i_0_433,i_0_3321,i_0_436,i_0_842,i_0_434]) ).
cnf(i_0_3775,plain,
rdn(rdnn(X1),rdnn(n3)) != rdnn(n3),
inference(scs_inference,[],[i_0_3717,i_0_3132]) ).
cnf(i_0_3776,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n3))),
inference(rename_variables,[],[i_0_3717]) ).
cnf(i_0_3777,plain,
rdn_non_zero(rdnn(n1)),
inference(scs_inference,[],[i_0_3717,i_0_838,i_0_3132,i_0_799]) ).
cnf(i_0_3779,plain,
rdn_non_zero(rdn(rdnn(X1),rdnn(n2))),
inference(scs_inference,[],[i_0_3713,i_0_3717,i_0_838,i_0_3132,i_0_799,i_0_794]) ).
cnf(i_0_3781,plain,
rdn_positive_less(rdnn(X1),rdn(rdnn(X2),rdnn(n2))),
inference(scs_inference,[],[i_0_3713,i_0_3717,i_0_838,i_0_3132,i_0_799,i_0_794,i_0_793]) ).
cnf(i_0_3783,plain,
~ difference(n8,n4,nn3),
inference(scs_inference,[],[i_0_3592,i_0_3713,i_0_3717,i_0_838,i_0_3132,i_0_799,i_0_794,i_0_793,i_0_603]) ).
cnf(i_0_3785,plain,
rdn_positive_less(rdn(rdnn(X1),rdnn(n4)),rdn(rdnn(X2),rdnn(n9))),
inference(scs_inference,[],[i_0_3592,i_0_3713,i_0_3734,i_0_3717,i_0_838,i_0_3132,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607]) ).
cnf(i_0_3787,plain,
n123 != nn108,
inference(scs_inference,[],[i_0_3592,i_0_3727,i_0_3713,i_0_3734,i_0_3717,i_0_838,i_0_3132,i_0_799,i_0_794,i_0_793,i_0_603,i_0_607,i_0_840]) ).
cnf(i_0_3773,plain,
rdn_add_with_carry(rdnn(n1),rdnn(n2),rdnn(n5),rdnn(n8)),
inference(equality_inference,[],[3769]) ).
cnf(i_0_3774,plain,
difference(n0,n105,nn105),
inference(equality_inference,[],[3772]) ).
cnf(c_0_3456,negated_conjecture,
( ~ sum(X1,X2,n8)
| X1 != n4
| X2 != n4 ),
i_0_791 ).
cnf(c_0_3457,plain,
sum(n4,n4,n8),
i_0_3453 ).
cnf(c_0_3458,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_3456])]),c_0_3457])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM330+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n023.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:29:08 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 68.98/46.52 % Version : CSE_E---1.7
% 68.98/46.52 % Problem : theBenchmark.p
% 68.98/46.52 % SZS status Theorem for theBenchmark.p
% 68.98/46.52 % SZS output start CNFRefutation
% See solution above
% 75.98/53.59 % Total time : 46.181s
%------------------------------------------------------------------------------