TSTP Solution File: NUM303+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM303+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 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 : 600s
% DateTime : Mon Jul 18 11:48:16 EDT 2022
% Result : Theorem 87.76s 88.04s
% Output : CNFRefutation 88.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 672
% Syntax : Number of formulae : 1839 (1347 unt; 270 typ; 0 def)
% Number of atoms : 6206 (1757 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 17652 (1042 ~;1177 |; 96 &;15283 @)
% ( 6 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 273 ( 270 usr; 258 con; 0-4 aty)
% Number of variables : 2154 ( 0 ^2154 !; 0 ?;2154 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_difference,type,
difference: $i > $i > $i > $o ).
thf(tp_less,type,
less: $i > $i > $o ).
thf(tp_less_or_equal,type,
less_or_equal: $i > $i > $o ).
thf(tp_n0,type,
n0: $i ).
thf(tp_n1,type,
n1: $i ).
thf(tp_n10,type,
n10: $i ).
thf(tp_n100,type,
n100: $i ).
thf(tp_n101,type,
n101: $i ).
thf(tp_n102,type,
n102: $i ).
thf(tp_n103,type,
n103: $i ).
thf(tp_n104,type,
n104: $i ).
thf(tp_n105,type,
n105: $i ).
thf(tp_n106,type,
n106: $i ).
thf(tp_n107,type,
n107: $i ).
thf(tp_n108,type,
n108: $i ).
thf(tp_n109,type,
n109: $i ).
thf(tp_n11,type,
n11: $i ).
thf(tp_n110,type,
n110: $i ).
thf(tp_n111,type,
n111: $i ).
thf(tp_n112,type,
n112: $i ).
thf(tp_n113,type,
n113: $i ).
thf(tp_n114,type,
n114: $i ).
thf(tp_n115,type,
n115: $i ).
thf(tp_n116,type,
n116: $i ).
thf(tp_n117,type,
n117: $i ).
thf(tp_n118,type,
n118: $i ).
thf(tp_n119,type,
n119: $i ).
thf(tp_n12,type,
n12: $i ).
thf(tp_n120,type,
n120: $i ).
thf(tp_n121,type,
n121: $i ).
thf(tp_n122,type,
n122: $i ).
thf(tp_n123,type,
n123: $i ).
thf(tp_n124,type,
n124: $i ).
thf(tp_n125,type,
n125: $i ).
thf(tp_n126,type,
n126: $i ).
thf(tp_n127,type,
n127: $i ).
thf(tp_n13,type,
n13: $i ).
thf(tp_n14,type,
n14: $i ).
thf(tp_n15,type,
n15: $i ).
thf(tp_n16,type,
n16: $i ).
thf(tp_n17,type,
n17: $i ).
thf(tp_n18,type,
n18: $i ).
thf(tp_n19,type,
n19: $i ).
thf(tp_n2,type,
n2: $i ).
thf(tp_n20,type,
n20: $i ).
thf(tp_n21,type,
n21: $i ).
thf(tp_n22,type,
n22: $i ).
thf(tp_n23,type,
n23: $i ).
thf(tp_n24,type,
n24: $i ).
thf(tp_n25,type,
n25: $i ).
thf(tp_n26,type,
n26: $i ).
thf(tp_n27,type,
n27: $i ).
thf(tp_n28,type,
n28: $i ).
thf(tp_n29,type,
n29: $i ).
thf(tp_n3,type,
n3: $i ).
thf(tp_n30,type,
n30: $i ).
thf(tp_n31,type,
n31: $i ).
thf(tp_n32,type,
n32: $i ).
thf(tp_n33,type,
n33: $i ).
thf(tp_n34,type,
n34: $i ).
thf(tp_n35,type,
n35: $i ).
thf(tp_n36,type,
n36: $i ).
thf(tp_n37,type,
n37: $i ).
thf(tp_n38,type,
n38: $i ).
thf(tp_n39,type,
n39: $i ).
thf(tp_n4,type,
n4: $i ).
thf(tp_n40,type,
n40: $i ).
thf(tp_n41,type,
n41: $i ).
thf(tp_n42,type,
n42: $i ).
thf(tp_n43,type,
n43: $i ).
thf(tp_n44,type,
n44: $i ).
thf(tp_n45,type,
n45: $i ).
thf(tp_n46,type,
n46: $i ).
thf(tp_n47,type,
n47: $i ).
thf(tp_n48,type,
n48: $i ).
thf(tp_n49,type,
n49: $i ).
thf(tp_n5,type,
n5: $i ).
thf(tp_n50,type,
n50: $i ).
thf(tp_n51,type,
n51: $i ).
thf(tp_n52,type,
n52: $i ).
thf(tp_n53,type,
n53: $i ).
thf(tp_n54,type,
n54: $i ).
thf(tp_n55,type,
n55: $i ).
thf(tp_n56,type,
n56: $i ).
thf(tp_n57,type,
n57: $i ).
thf(tp_n58,type,
n58: $i ).
thf(tp_n59,type,
n59: $i ).
thf(tp_n6,type,
n6: $i ).
thf(tp_n60,type,
n60: $i ).
thf(tp_n61,type,
n61: $i ).
thf(tp_n62,type,
n62: $i ).
thf(tp_n63,type,
n63: $i ).
thf(tp_n64,type,
n64: $i ).
thf(tp_n65,type,
n65: $i ).
thf(tp_n66,type,
n66: $i ).
thf(tp_n67,type,
n67: $i ).
thf(tp_n68,type,
n68: $i ).
thf(tp_n69,type,
n69: $i ).
thf(tp_n7,type,
n7: $i ).
thf(tp_n70,type,
n70: $i ).
thf(tp_n71,type,
n71: $i ).
thf(tp_n72,type,
n72: $i ).
thf(tp_n73,type,
n73: $i ).
thf(tp_n74,type,
n74: $i ).
thf(tp_n75,type,
n75: $i ).
thf(tp_n76,type,
n76: $i ).
thf(tp_n77,type,
n77: $i ).
thf(tp_n78,type,
n78: $i ).
thf(tp_n79,type,
n79: $i ).
thf(tp_n8,type,
n8: $i ).
thf(tp_n80,type,
n80: $i ).
thf(tp_n81,type,
n81: $i ).
thf(tp_n82,type,
n82: $i ).
thf(tp_n83,type,
n83: $i ).
thf(tp_n84,type,
n84: $i ).
thf(tp_n85,type,
n85: $i ).
thf(tp_n86,type,
n86: $i ).
thf(tp_n87,type,
n87: $i ).
thf(tp_n88,type,
n88: $i ).
thf(tp_n89,type,
n89: $i ).
thf(tp_n9,type,
n9: $i ).
thf(tp_n90,type,
n90: $i ).
thf(tp_n91,type,
n91: $i ).
thf(tp_n92,type,
n92: $i ).
thf(tp_n93,type,
n93: $i ).
thf(tp_n94,type,
n94: $i ).
thf(tp_n95,type,
n95: $i ).
thf(tp_n96,type,
n96: $i ).
thf(tp_n97,type,
n97: $i ).
thf(tp_n98,type,
n98: $i ).
thf(tp_n99,type,
n99: $i ).
thf(tp_nn1,type,
nn1: $i ).
thf(tp_nn10,type,
nn10: $i ).
thf(tp_nn100,type,
nn100: $i ).
thf(tp_nn101,type,
nn101: $i ).
thf(tp_nn102,type,
nn102: $i ).
thf(tp_nn103,type,
nn103: $i ).
thf(tp_nn104,type,
nn104: $i ).
thf(tp_nn105,type,
nn105: $i ).
thf(tp_nn106,type,
nn106: $i ).
thf(tp_nn107,type,
nn107: $i ).
thf(tp_nn108,type,
nn108: $i ).
thf(tp_nn109,type,
nn109: $i ).
thf(tp_nn11,type,
nn11: $i ).
thf(tp_nn110,type,
nn110: $i ).
thf(tp_nn111,type,
nn111: $i ).
thf(tp_nn112,type,
nn112: $i ).
thf(tp_nn113,type,
nn113: $i ).
thf(tp_nn114,type,
nn114: $i ).
thf(tp_nn115,type,
nn115: $i ).
thf(tp_nn116,type,
nn116: $i ).
thf(tp_nn117,type,
nn117: $i ).
thf(tp_nn118,type,
nn118: $i ).
thf(tp_nn119,type,
nn119: $i ).
thf(tp_nn12,type,
nn12: $i ).
thf(tp_nn120,type,
nn120: $i ).
thf(tp_nn121,type,
nn121: $i ).
thf(tp_nn122,type,
nn122: $i ).
thf(tp_nn123,type,
nn123: $i ).
thf(tp_nn124,type,
nn124: $i ).
thf(tp_nn125,type,
nn125: $i ).
thf(tp_nn126,type,
nn126: $i ).
thf(tp_nn127,type,
nn127: $i ).
thf(tp_nn128,type,
nn128: $i ).
thf(tp_nn13,type,
nn13: $i ).
thf(tp_nn14,type,
nn14: $i ).
thf(tp_nn15,type,
nn15: $i ).
thf(tp_nn16,type,
nn16: $i ).
thf(tp_nn17,type,
nn17: $i ).
thf(tp_nn18,type,
nn18: $i ).
thf(tp_nn19,type,
nn19: $i ).
thf(tp_nn2,type,
nn2: $i ).
thf(tp_nn20,type,
nn20: $i ).
thf(tp_nn21,type,
nn21: $i ).
thf(tp_nn22,type,
nn22: $i ).
thf(tp_nn23,type,
nn23: $i ).
thf(tp_nn24,type,
nn24: $i ).
thf(tp_nn25,type,
nn25: $i ).
thf(tp_nn26,type,
nn26: $i ).
thf(tp_nn27,type,
nn27: $i ).
thf(tp_nn28,type,
nn28: $i ).
thf(tp_nn29,type,
nn29: $i ).
thf(tp_nn3,type,
nn3: $i ).
thf(tp_nn30,type,
nn30: $i ).
thf(tp_nn31,type,
nn31: $i ).
thf(tp_nn32,type,
nn32: $i ).
thf(tp_nn33,type,
nn33: $i ).
thf(tp_nn34,type,
nn34: $i ).
thf(tp_nn35,type,
nn35: $i ).
thf(tp_nn36,type,
nn36: $i ).
thf(tp_nn37,type,
nn37: $i ).
thf(tp_nn38,type,
nn38: $i ).
thf(tp_nn39,type,
nn39: $i ).
thf(tp_nn4,type,
nn4: $i ).
thf(tp_nn40,type,
nn40: $i ).
thf(tp_nn41,type,
nn41: $i ).
thf(tp_nn42,type,
nn42: $i ).
thf(tp_nn43,type,
nn43: $i ).
thf(tp_nn44,type,
nn44: $i ).
thf(tp_nn45,type,
nn45: $i ).
thf(tp_nn46,type,
nn46: $i ).
thf(tp_nn47,type,
nn47: $i ).
thf(tp_nn48,type,
nn48: $i ).
thf(tp_nn49,type,
nn49: $i ).
thf(tp_nn5,type,
nn5: $i ).
thf(tp_nn50,type,
nn50: $i ).
thf(tp_nn51,type,
nn51: $i ).
thf(tp_nn52,type,
nn52: $i ).
thf(tp_nn53,type,
nn53: $i ).
thf(tp_nn54,type,
nn54: $i ).
thf(tp_nn55,type,
nn55: $i ).
thf(tp_nn56,type,
nn56: $i ).
thf(tp_nn57,type,
nn57: $i ).
thf(tp_nn58,type,
nn58: $i ).
thf(tp_nn59,type,
nn59: $i ).
thf(tp_nn6,type,
nn6: $i ).
thf(tp_nn60,type,
nn60: $i ).
thf(tp_nn61,type,
nn61: $i ).
thf(tp_nn62,type,
nn62: $i ).
thf(tp_nn63,type,
nn63: $i ).
thf(tp_nn64,type,
nn64: $i ).
thf(tp_nn65,type,
nn65: $i ).
thf(tp_nn66,type,
nn66: $i ).
thf(tp_nn67,type,
nn67: $i ).
thf(tp_nn68,type,
nn68: $i ).
thf(tp_nn69,type,
nn69: $i ).
thf(tp_nn7,type,
nn7: $i ).
thf(tp_nn70,type,
nn70: $i ).
thf(tp_nn71,type,
nn71: $i ).
thf(tp_nn72,type,
nn72: $i ).
thf(tp_nn73,type,
nn73: $i ).
thf(tp_nn74,type,
nn74: $i ).
thf(tp_nn75,type,
nn75: $i ).
thf(tp_nn76,type,
nn76: $i ).
thf(tp_nn77,type,
nn77: $i ).
thf(tp_nn78,type,
nn78: $i ).
thf(tp_nn79,type,
nn79: $i ).
thf(tp_nn8,type,
nn8: $i ).
thf(tp_nn80,type,
nn80: $i ).
thf(tp_nn81,type,
nn81: $i ).
thf(tp_nn82,type,
nn82: $i ).
thf(tp_nn83,type,
nn83: $i ).
thf(tp_nn84,type,
nn84: $i ).
thf(tp_nn85,type,
nn85: $i ).
thf(tp_nn86,type,
nn86: $i ).
thf(tp_nn87,type,
nn87: $i ).
thf(tp_nn88,type,
nn88: $i ).
thf(tp_nn89,type,
nn89: $i ).
thf(tp_nn9,type,
nn9: $i ).
thf(tp_nn90,type,
nn90: $i ).
thf(tp_nn91,type,
nn91: $i ).
thf(tp_nn92,type,
nn92: $i ).
thf(tp_nn93,type,
nn93: $i ).
thf(tp_nn94,type,
nn94: $i ).
thf(tp_nn95,type,
nn95: $i ).
thf(tp_nn96,type,
nn96: $i ).
thf(tp_nn97,type,
nn97: $i ).
thf(tp_nn98,type,
nn98: $i ).
thf(tp_nn99,type,
nn99: $i ).
thf(tp_rdn,type,
rdn: $i > $i > $i ).
thf(tp_rdn_add_with_carry,type,
rdn_add_with_carry: $i > $i > $i > $i > $o ).
thf(tp_rdn_digit_add,type,
rdn_digit_add: $i > $i > $i > $i > $o ).
thf(tp_rdn_neg,type,
rdn_neg: $i > $i ).
thf(tp_rdn_non_zero,type,
rdn_non_zero: $i > $o ).
thf(tp_rdn_non_zero_digit,type,
rdn_non_zero_digit: $i > $o ).
thf(tp_rdn_pos,type,
rdn_pos: $i > $i ).
thf(tp_rdn_positive_less,type,
rdn_positive_less: $i > $i > $o ).
thf(tp_rdn_translate,type,
rdn_translate: $i > $i > $o ).
thf(tp_rdnn,type,
rdnn: $i > $i ).
thf(tp_sum,type,
sum: $i > $i > $i > $o ).
thf(1,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n9_n8_n1) ).
thf(2,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n8_n7_n1) ).
thf(3,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n7_n6_n1) ).
thf(4,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n6_n5_n1) ).
thf(5,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n5_n4_n1) ).
thf(6,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n4_n3_n1) ).
thf(7,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n3_n2_n1) ).
thf(8,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n2_n1_n1) ).
thf(9,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n1_n0_n1) ).
thf(10,axiom,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n9_n0_n9_n0) ).
thf(11,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n9_n7_n1) ).
thf(12,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n8_n6_n1) ).
thf(13,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n7_n5_n1) ).
thf(14,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n6_n4_n1) ).
thf(15,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n5_n3_n1) ).
thf(16,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n4_n2_n1) ).
thf(17,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n3_n1_n1) ).
thf(18,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n2_n0_n1) ).
thf(19,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n1_n9_n0) ).
thf(20,axiom,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n8_n0_n8_n0) ).
thf(21,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n9_n6_n1) ).
thf(22,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n8_n5_n1) ).
thf(23,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n7_n4_n1) ).
thf(24,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n6_n3_n1) ).
thf(25,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n5_n2_n1) ).
thf(26,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n4_n1_n1) ).
thf(27,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n3_n0_n1) ).
thf(28,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n2_n9_n0) ).
thf(29,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n1_n8_n0) ).
thf(30,axiom,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n7_n0_n7_n0) ).
thf(31,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n9_n5_n1) ).
thf(32,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n8_n4_n1) ).
thf(33,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n7_n3_n1) ).
thf(34,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n6_n2_n1) ).
thf(35,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n5_n1_n1) ).
thf(36,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n4_n0_n1) ).
thf(37,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n3_n9_n0) ).
thf(38,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n2_n8_n0) ).
thf(39,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n1_n7_n0) ).
thf(40,axiom,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n6_n0_n6_n0) ).
thf(41,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n9_n4_n1) ).
thf(42,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n8_n3_n1) ).
thf(43,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n7_n2_n1) ).
thf(44,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n6_n1_n1) ).
thf(45,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n5_n0_n1) ).
thf(46,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n4_n9_n0) ).
thf(47,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n3_n8_n0) ).
thf(48,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n2_n7_n0) ).
thf(49,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n1_n6_n0) ).
thf(50,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
thf(51,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n9_n3_n1) ).
thf(52,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n8_n2_n1) ).
thf(53,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n7_n1_n1) ).
thf(54,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n6_n0_n1) ).
thf(55,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n5_n9_n0) ).
thf(56,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n4_n8_n0) ).
thf(57,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n3_n7_n0) ).
thf(58,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n2_n6_n0) ).
thf(59,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n1_n5_n0) ).
thf(60,axiom,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n4_n0_n4_n0) ).
thf(61,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n9_n2_n1) ).
thf(62,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n8_n1_n1) ).
thf(63,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n7_n0_n1) ).
thf(64,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n6_n9_n0) ).
thf(65,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n5_n8_n0) ).
thf(66,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n4_n7_n0) ).
thf(67,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n3_n6_n0) ).
thf(68,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n2_n5_n0) ).
thf(69,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n1_n4_n0) ).
thf(70,axiom,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n3_n0_n3_n0) ).
thf(71,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n9_n1_n1) ).
thf(72,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n8_n0_n1) ).
thf(73,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n7_n9_n0) ).
thf(74,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n6_n8_n0) ).
thf(75,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n5_n7_n0) ).
thf(76,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n4_n6_n0) ).
thf(77,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
thf(78,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n2_n4_n0) ).
thf(79,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n1_n3_n0) ).
thf(80,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n2_n0_n2_n0) ).
thf(81,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n9_n0_n1) ).
thf(82,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n8_n9_n0) ).
thf(83,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n7_n8_n0) ).
thf(84,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n6_n7_n0) ).
thf(85,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n5_n6_n0) ).
thf(86,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n4_n5_n0) ).
thf(87,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n3_n4_n0) ).
thf(88,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n2_n3_n0) ).
thf(89,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n1_n2_n0) ).
thf(90,axiom,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n1_n0_n1_n0) ).
thf(91,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n9_n9_n0) ).
thf(92,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n8_n8_n0) ).
thf(93,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n7_n7_n0) ).
thf(94,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n6_n6_n0) ).
thf(95,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n5_n5_n0) ).
thf(96,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n4_n4_n0) ).
thf(97,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n3_n3_n0) ).
thf(98,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n2_n2_n0) ).
thf(99,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n1_n1_n0) ).
thf(100,axiom,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit_add_n0_n0_n0_n0) ).
thf(101,axiom,
! [C: $i,D1: $i,O1: $i,D2: $i,RD: $i,RO: $i] :
( ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_rdn_digit_rdn) ).
thf(102,axiom,
! [C: $i,D1: $i,O1: $i,D2: $i,O2: $i,RD: $i,RO: $i,ID: $i,IC1: $i,IC2: $i,RC: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
& ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ RC ) @ ( rdnn @ n0 ) )
& ( rdn_add_with_carry @ ( rdnn @ RC ) @ O1 @ O2 @ RO )
& ( rdn_non_zero @ O1 )
& ( rdn_non_zero @ O2 )
& ( rdn_non_zero @ RO ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdn @ ( rdnn @ D2 ) @ O2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_rdn_rdn_rdn) ).
thf(103,axiom,
! [C: $i,D1: $i,D2: $i,O2: $i,RD: $i,RO: $i,ID: $i,IC1: $i,IC2: $i,NC: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
& ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ NC ) @ ( rdnn @ n0 ) )
& ( rdn_add_with_carry @ ( rdnn @ NC ) @ ( rdnn @ n0 ) @ O2 @ RO )
& ( rdn_non_zero @ O2 )
& ( rdn_non_zero @ RO ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdn @ ( rdnn @ D2 ) @ O2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_rdn_rdn) ).
thf(104,axiom,
! [C: $i,D1: $i,D2: $i,ID: $i,RD: $i,IC1: $i,IC2: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
& ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ RD ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_rdn) ).
thf(105,axiom,
! [C: $i,D1: $i,D2: $i,RD: $i,ID: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ n0 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ RD ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_digit) ).
thf(106,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( sum @ Y @ Z @ X )
<=> ( difference @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minus_entry_point) ).
thf(107,axiom,
! [X: $i,Y1: $i,Y2: $i,Z: $i] :
( ( ( sum @ X @ Y1 @ Z )
& ( sum @ X @ Y2 @ Z ) )
=> ( Y1 = Y2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_RHS) ).
thf(108,axiom,
! [X1: $i,X2: $i,Y: $i,Z: $i] :
( ( ( sum @ X1 @ Y @ Z )
& ( sum @ X2 @ Y @ Z ) )
=> ( X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_LHS) ).
thf(109,axiom,
! [X: $i,Y: $i,Z1: $i,Z2: $i] :
( ( ( sum @ X @ Y @ Z1 )
& ( sum @ X @ Y @ Z2 ) )
=> ( Z1 = Z2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_sum) ).
thf(110,axiom,
! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( sum @ Y @ X @ Z ) )
=> ( sum @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_neg_pos) ).
thf(111,axiom,
! [POS_X: $i,NEG_X: $i,RDN_X: $i] :
( ( ( rdn_translate @ POS_X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ NEG_X @ ( rdn_neg @ RDN_X ) ) )
=> ( sum @ POS_X @ NEG_X @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).
thf(112,axiom,
! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_positive_less @ RDN_Y @ RDN_X )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_Y @ RDN_Z @ RDN_X )
& ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_neg_2) ).
thf(113,axiom,
! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_positive_less @ RDN_X @ RDN_Y )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Z @ RDN_Y )
& ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_neg_1) ).
thf(114,axiom,
! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
& ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_neg_neg) ).
thf(115,axiom,
! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
& ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
thf(116,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( sum @ X @ n1 @ Y )
& ( less @ Z @ Y ) )
=> ( less_or_equal @ Z @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_successor) ).
thf(117,axiom,
! [X: $i,Y: $i] :
( ( less_or_equal @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
thf(118,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
<=> ( ~ ( less @ Y @ X )
& ( Y != X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
thf(119,axiom,
! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_positive_less @ RDN_Y @ RDN_X ) )
=> ( less @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
thf(120,axiom,
! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) ) )
=> ( less @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
thf(121,axiom,
! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( rdn_positive_less @ RDN_X @ RDN_Y ) )
=> ( less @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
thf(122,axiom,
! [D: $i,O: $i] :
( ( rdn_non_zero @ O )
=> ( rdn_non_zero @ ( rdn @ ( rdnn @ D ) @ O ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_structure) ).
thf(123,axiom,
! [X: $i] :
( ( rdn_non_zero_digit @ ( rdnn @ X ) )
=> ( rdn_non_zero @ ( rdnn @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
thf(124,axiom,
! [D: $i,Db: $i,Ob: $i] :
( ( rdn_non_zero @ Ob )
=> ( rdn_positive_less @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
thf(125,axiom,
! [Ds: $i,O: $i,Db: $i] :
( ( ( rdn_positive_less @ ( rdnn @ Ds ) @ ( rdnn @ Db ) )
& ( rdn_non_zero @ O ) )
=> ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ O ) @ ( rdn @ ( rdnn @ Db ) @ O ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
thf(126,axiom,
! [Ds: $i,Os: $i,Db: $i,Ob: $i] :
( ( rdn_positive_less @ Os @ Ob )
=> ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ Os ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
thf(127,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Y ) )
& ( rdn_positive_less @ ( rdnn @ Y ) @ ( rdnn @ Z ) ) )
=> ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
thf(128,axiom,
rdn_positive_less @ ( rdnn @ n8 ) @ ( rdnn @ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less89) ).
thf(129,axiom,
rdn_positive_less @ ( rdnn @ n7 ) @ ( rdnn @ n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
thf(130,axiom,
rdn_positive_less @ ( rdnn @ n6 ) @ ( rdnn @ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
thf(131,axiom,
rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
thf(132,axiom,
rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
thf(133,axiom,
rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less34) ).
thf(134,axiom,
rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
thf(135,axiom,
rdn_positive_less @ ( rdnn @ n1 ) @ ( rdnn @ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).
thf(136,axiom,
rdn_positive_less @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).
thf(137,axiom,
rdn_non_zero_digit @ ( rdnn @ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit9) ).
thf(138,axiom,
rdn_non_zero_digit @ ( rdnn @ n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit8) ).
thf(139,axiom,
rdn_non_zero_digit @ ( rdnn @ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
thf(140,axiom,
rdn_non_zero_digit @ ( rdnn @ n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit6) ).
thf(141,axiom,
rdn_non_zero_digit @ ( rdnn @ n5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit5) ).
thf(142,axiom,
rdn_non_zero_digit @ ( rdnn @ n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit4) ).
thf(143,axiom,
rdn_non_zero_digit @ ( rdnn @ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit3) ).
thf(144,axiom,
rdn_non_zero_digit @ ( rdnn @ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
thf(145,axiom,
rdn_non_zero_digit @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
thf(146,axiom,
rdn_translate @ nn128 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn128) ).
thf(147,axiom,
rdn_translate @ nn127 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn127) ).
thf(148,axiom,
rdn_translate @ nn126 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn126) ).
thf(149,axiom,
rdn_translate @ nn125 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn125) ).
thf(150,axiom,
rdn_translate @ nn124 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn124) ).
thf(151,axiom,
rdn_translate @ nn123 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn123) ).
thf(152,axiom,
rdn_translate @ nn122 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn122) ).
thf(153,axiom,
rdn_translate @ nn121 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn121) ).
thf(154,axiom,
rdn_translate @ nn120 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn120) ).
thf(155,axiom,
rdn_translate @ nn119 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn119) ).
thf(156,axiom,
rdn_translate @ nn118 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn118) ).
thf(157,axiom,
rdn_translate @ nn117 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn117) ).
thf(158,axiom,
rdn_translate @ nn116 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn116) ).
thf(159,axiom,
rdn_translate @ nn115 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn115) ).
thf(160,axiom,
rdn_translate @ nn114 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn114) ).
thf(161,axiom,
rdn_translate @ nn113 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn113) ).
thf(162,axiom,
rdn_translate @ nn112 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn112) ).
thf(163,axiom,
rdn_translate @ nn111 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn111) ).
thf(164,axiom,
rdn_translate @ nn110 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn110) ).
thf(165,axiom,
rdn_translate @ nn109 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn109) ).
thf(166,axiom,
rdn_translate @ nn108 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn108) ).
thf(167,axiom,
rdn_translate @ nn107 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn107) ).
thf(168,axiom,
rdn_translate @ nn106 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn106) ).
thf(169,axiom,
rdn_translate @ nn105 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn105) ).
thf(170,axiom,
rdn_translate @ nn104 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn104) ).
thf(171,axiom,
rdn_translate @ nn103 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn103) ).
thf(172,axiom,
rdn_translate @ nn102 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn102) ).
thf(173,axiom,
rdn_translate @ nn101 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn101) ).
thf(174,axiom,
rdn_translate @ nn100 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn100) ).
thf(175,axiom,
rdn_translate @ nn99 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn99) ).
thf(176,axiom,
rdn_translate @ nn98 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn98) ).
thf(177,axiom,
rdn_translate @ nn97 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn97) ).
thf(178,axiom,
rdn_translate @ nn96 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn96) ).
thf(179,axiom,
rdn_translate @ nn95 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn95) ).
thf(180,axiom,
rdn_translate @ nn94 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn94) ).
thf(181,axiom,
rdn_translate @ nn93 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn93) ).
thf(182,axiom,
rdn_translate @ nn92 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn92) ).
thf(183,axiom,
rdn_translate @ nn91 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn91) ).
thf(184,axiom,
rdn_translate @ nn90 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn90) ).
thf(185,axiom,
rdn_translate @ nn89 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn89) ).
thf(186,axiom,
rdn_translate @ nn88 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn88) ).
thf(187,axiom,
rdn_translate @ nn87 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn87) ).
thf(188,axiom,
rdn_translate @ nn86 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn86) ).
thf(189,axiom,
rdn_translate @ nn85 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn85) ).
thf(190,axiom,
rdn_translate @ nn84 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn84) ).
thf(191,axiom,
rdn_translate @ nn83 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn83) ).
thf(192,axiom,
rdn_translate @ nn82 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn82) ).
thf(193,axiom,
rdn_translate @ nn81 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn81) ).
thf(194,axiom,
rdn_translate @ nn80 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn80) ).
thf(195,axiom,
rdn_translate @ nn79 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn79) ).
thf(196,axiom,
rdn_translate @ nn78 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn78) ).
thf(197,axiom,
rdn_translate @ nn77 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn77) ).
thf(198,axiom,
rdn_translate @ nn76 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn76) ).
thf(199,axiom,
rdn_translate @ nn75 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn75) ).
thf(200,axiom,
rdn_translate @ nn74 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn74) ).
thf(201,axiom,
rdn_translate @ nn73 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn73) ).
thf(202,axiom,
rdn_translate @ nn72 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn72) ).
thf(203,axiom,
rdn_translate @ nn71 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn71) ).
thf(204,axiom,
rdn_translate @ nn70 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn70) ).
thf(205,axiom,
rdn_translate @ nn69 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn69) ).
thf(206,axiom,
rdn_translate @ nn68 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn68) ).
thf(207,axiom,
rdn_translate @ nn67 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn67) ).
thf(208,axiom,
rdn_translate @ nn66 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn66) ).
thf(209,axiom,
rdn_translate @ nn65 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn65) ).
thf(210,axiom,
rdn_translate @ nn64 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn64) ).
thf(211,axiom,
rdn_translate @ nn63 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn63) ).
thf(212,axiom,
rdn_translate @ nn62 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn62) ).
thf(213,axiom,
rdn_translate @ nn61 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn61) ).
thf(214,axiom,
rdn_translate @ nn60 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn60) ).
thf(215,axiom,
rdn_translate @ nn59 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn59) ).
thf(216,axiom,
rdn_translate @ nn58 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn58) ).
thf(217,axiom,
rdn_translate @ nn57 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn57) ).
thf(218,axiom,
rdn_translate @ nn56 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn56) ).
thf(219,axiom,
rdn_translate @ nn55 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn55) ).
thf(220,axiom,
rdn_translate @ nn54 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn54) ).
thf(221,axiom,
rdn_translate @ nn53 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn53) ).
thf(222,axiom,
rdn_translate @ nn52 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn52) ).
thf(223,axiom,
rdn_translate @ nn51 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn51) ).
thf(224,axiom,
rdn_translate @ nn50 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn50) ).
thf(225,axiom,
rdn_translate @ nn49 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn49) ).
thf(226,axiom,
rdn_translate @ nn48 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn48) ).
thf(227,axiom,
rdn_translate @ nn47 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn47) ).
thf(228,axiom,
rdn_translate @ nn46 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn46) ).
thf(229,axiom,
rdn_translate @ nn45 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn45) ).
thf(230,axiom,
rdn_translate @ nn44 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn44) ).
thf(231,axiom,
rdn_translate @ nn43 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn43) ).
thf(232,axiom,
rdn_translate @ nn42 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn42) ).
thf(233,axiom,
rdn_translate @ nn41 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn41) ).
thf(234,axiom,
rdn_translate @ nn40 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn40) ).
thf(235,axiom,
rdn_translate @ nn39 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn39) ).
thf(236,axiom,
rdn_translate @ nn38 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn38) ).
thf(237,axiom,
rdn_translate @ nn37 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn37) ).
thf(238,axiom,
rdn_translate @ nn36 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn36) ).
thf(239,axiom,
rdn_translate @ nn35 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn35) ).
thf(240,axiom,
rdn_translate @ nn34 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn34) ).
thf(241,axiom,
rdn_translate @ nn33 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn33) ).
thf(242,axiom,
rdn_translate @ nn32 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn32) ).
thf(243,axiom,
rdn_translate @ nn31 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn31) ).
thf(244,axiom,
rdn_translate @ nn30 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn30) ).
thf(245,axiom,
rdn_translate @ nn29 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn29) ).
thf(246,axiom,
rdn_translate @ nn28 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn28) ).
thf(247,axiom,
rdn_translate @ nn27 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn27) ).
thf(248,axiom,
rdn_translate @ nn26 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn26) ).
thf(249,axiom,
rdn_translate @ nn25 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn25) ).
thf(250,axiom,
rdn_translate @ nn24 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn24) ).
thf(251,axiom,
rdn_translate @ nn23 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn23) ).
thf(252,axiom,
rdn_translate @ nn22 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn22) ).
thf(253,axiom,
rdn_translate @ nn21 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn21) ).
thf(254,axiom,
rdn_translate @ nn20 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn20) ).
thf(255,axiom,
rdn_translate @ nn19 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn19) ).
thf(256,axiom,
rdn_translate @ nn18 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn18) ).
thf(257,axiom,
rdn_translate @ nn17 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn17) ).
thf(258,axiom,
rdn_translate @ nn16 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn16) ).
thf(259,axiom,
rdn_translate @ nn15 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn15) ).
thf(260,axiom,
rdn_translate @ nn14 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn14) ).
thf(261,axiom,
rdn_translate @ nn13 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn13) ).
thf(262,axiom,
rdn_translate @ nn12 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn12) ).
thf(263,axiom,
rdn_translate @ nn11 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn11) ).
thf(264,axiom,
rdn_translate @ nn10 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn10) ).
thf(265,axiom,
rdn_translate @ nn9 @ ( rdn_neg @ ( rdnn @ n9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn9) ).
thf(266,axiom,
rdn_translate @ nn8 @ ( rdn_neg @ ( rdnn @ n8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn8) ).
thf(267,axiom,
rdn_translate @ nn7 @ ( rdn_neg @ ( rdnn @ n7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn7) ).
thf(268,axiom,
rdn_translate @ nn6 @ ( rdn_neg @ ( rdnn @ n6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn6) ).
thf(269,axiom,
rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn5) ).
thf(270,axiom,
rdn_translate @ nn4 @ ( rdn_neg @ ( rdnn @ n4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn4) ).
thf(271,axiom,
rdn_translate @ nn3 @ ( rdn_neg @ ( rdnn @ n3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn3) ).
thf(272,axiom,
rdn_translate @ nn2 @ ( rdn_neg @ ( rdnn @ n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn2) ).
thf(273,axiom,
rdn_translate @ nn1 @ ( rdn_neg @ ( rdnn @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn1) ).
thf(274,axiom,
rdn_translate @ n127 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn127) ).
thf(275,axiom,
rdn_translate @ n126 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn126) ).
thf(276,axiom,
rdn_translate @ n125 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn125) ).
thf(277,axiom,
rdn_translate @ n124 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn124) ).
thf(278,axiom,
rdn_translate @ n123 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn123) ).
thf(279,axiom,
rdn_translate @ n122 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn122) ).
thf(280,axiom,
rdn_translate @ n121 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn121) ).
thf(281,axiom,
rdn_translate @ n120 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn120) ).
thf(282,axiom,
rdn_translate @ n119 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn119) ).
thf(283,axiom,
rdn_translate @ n118 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn118) ).
thf(284,axiom,
rdn_translate @ n117 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn117) ).
thf(285,axiom,
rdn_translate @ n116 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn116) ).
thf(286,axiom,
rdn_translate @ n115 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn115) ).
thf(287,axiom,
rdn_translate @ n114 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn114) ).
thf(288,axiom,
rdn_translate @ n113 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn113) ).
thf(289,axiom,
rdn_translate @ n112 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn112) ).
thf(290,axiom,
rdn_translate @ n111 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn111) ).
thf(291,axiom,
rdn_translate @ n110 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn110) ).
thf(292,axiom,
rdn_translate @ n109 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn109) ).
thf(293,axiom,
rdn_translate @ n108 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn108) ).
thf(294,axiom,
rdn_translate @ n107 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn107) ).
thf(295,axiom,
rdn_translate @ n106 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn106) ).
thf(296,axiom,
rdn_translate @ n105 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn105) ).
thf(297,axiom,
rdn_translate @ n104 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn104) ).
thf(298,axiom,
rdn_translate @ n103 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn103) ).
thf(299,axiom,
rdn_translate @ n102 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn102) ).
thf(300,axiom,
rdn_translate @ n101 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn101) ).
thf(301,axiom,
rdn_translate @ n100 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn100) ).
thf(302,axiom,
rdn_translate @ n99 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn99) ).
thf(303,axiom,
rdn_translate @ n98 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn98) ).
thf(304,axiom,
rdn_translate @ n97 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn97) ).
thf(305,axiom,
rdn_translate @ n96 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn96) ).
thf(306,axiom,
rdn_translate @ n95 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn95) ).
thf(307,axiom,
rdn_translate @ n94 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn94) ).
thf(308,axiom,
rdn_translate @ n93 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn93) ).
thf(309,axiom,
rdn_translate @ n92 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn92) ).
thf(310,axiom,
rdn_translate @ n91 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn91) ).
thf(311,axiom,
rdn_translate @ n90 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn90) ).
thf(312,axiom,
rdn_translate @ n89 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn89) ).
thf(313,axiom,
rdn_translate @ n88 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn88) ).
thf(314,axiom,
rdn_translate @ n87 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn87) ).
thf(315,axiom,
rdn_translate @ n86 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn86) ).
thf(316,axiom,
rdn_translate @ n85 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn85) ).
thf(317,axiom,
rdn_translate @ n84 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn84) ).
thf(318,axiom,
rdn_translate @ n83 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn83) ).
thf(319,axiom,
rdn_translate @ n82 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn82) ).
thf(320,axiom,
rdn_translate @ n81 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn81) ).
thf(321,axiom,
rdn_translate @ n80 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn80) ).
thf(322,axiom,
rdn_translate @ n79 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn79) ).
thf(323,axiom,
rdn_translate @ n78 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
thf(324,axiom,
rdn_translate @ n77 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn77) ).
thf(325,axiom,
rdn_translate @ n76 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn76) ).
thf(326,axiom,
rdn_translate @ n75 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
thf(327,axiom,
rdn_translate @ n74 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn74) ).
thf(328,axiom,
rdn_translate @ n73 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn73) ).
thf(329,axiom,
rdn_translate @ n72 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn72) ).
thf(330,axiom,
rdn_translate @ n71 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn71) ).
thf(331,axiom,
rdn_translate @ n70 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn70) ).
thf(332,axiom,
rdn_translate @ n69 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn69) ).
thf(333,axiom,
rdn_translate @ n68 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn68) ).
thf(334,axiom,
rdn_translate @ n67 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn67) ).
thf(335,axiom,
rdn_translate @ n66 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn66) ).
thf(336,axiom,
rdn_translate @ n65 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn65) ).
thf(337,axiom,
rdn_translate @ n64 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn64) ).
thf(338,axiom,
rdn_translate @ n63 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn63) ).
thf(339,axiom,
rdn_translate @ n62 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn62) ).
thf(340,axiom,
rdn_translate @ n61 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn61) ).
thf(341,axiom,
rdn_translate @ n60 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn60) ).
thf(342,axiom,
rdn_translate @ n59 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn59) ).
thf(343,axiom,
rdn_translate @ n58 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn58) ).
thf(344,axiom,
rdn_translate @ n57 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn57) ).
thf(345,axiom,
rdn_translate @ n56 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn56) ).
thf(346,axiom,
rdn_translate @ n55 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn55) ).
thf(347,axiom,
rdn_translate @ n54 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn54) ).
thf(348,axiom,
rdn_translate @ n53 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn53) ).
thf(349,axiom,
rdn_translate @ n52 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn52) ).
thf(350,axiom,
rdn_translate @ n51 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn51) ).
thf(351,axiom,
rdn_translate @ n50 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn50) ).
thf(352,axiom,
rdn_translate @ n49 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn49) ).
thf(353,axiom,
rdn_translate @ n48 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn48) ).
thf(354,axiom,
rdn_translate @ n47 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn47) ).
thf(355,axiom,
rdn_translate @ n46 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn46) ).
thf(356,axiom,
rdn_translate @ n45 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn45) ).
thf(357,axiom,
rdn_translate @ n44 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn44) ).
thf(358,axiom,
rdn_translate @ n43 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn43) ).
thf(359,axiom,
rdn_translate @ n42 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn42) ).
thf(360,axiom,
rdn_translate @ n41 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn41) ).
thf(361,axiom,
rdn_translate @ n40 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn40) ).
thf(362,axiom,
rdn_translate @ n39 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn39) ).
thf(363,axiom,
rdn_translate @ n38 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn38) ).
thf(364,axiom,
rdn_translate @ n37 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn37) ).
thf(365,axiom,
rdn_translate @ n36 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn36) ).
thf(366,axiom,
rdn_translate @ n35 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn35) ).
thf(367,axiom,
rdn_translate @ n34 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn34) ).
thf(368,axiom,
rdn_translate @ n33 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn33) ).
thf(369,axiom,
rdn_translate @ n32 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn32) ).
thf(370,axiom,
rdn_translate @ n31 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn31) ).
thf(371,axiom,
rdn_translate @ n30 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).
thf(372,axiom,
rdn_translate @ n29 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn29) ).
thf(373,axiom,
rdn_translate @ n28 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn28) ).
thf(374,axiom,
rdn_translate @ n27 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn27) ).
thf(375,axiom,
rdn_translate @ n26 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn26) ).
thf(376,axiom,
rdn_translate @ n25 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).
thf(377,axiom,
rdn_translate @ n24 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
thf(378,axiom,
rdn_translate @ n23 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn23) ).
thf(379,axiom,
rdn_translate @ n22 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn22) ).
thf(380,axiom,
rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn21) ).
thf(381,axiom,
rdn_translate @ n20 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn20) ).
thf(382,axiom,
rdn_translate @ n19 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn19) ).
thf(383,axiom,
rdn_translate @ n18 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn18) ).
thf(384,axiom,
rdn_translate @ n17 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn17) ).
thf(385,axiom,
rdn_translate @ n16 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn16) ).
thf(386,axiom,
rdn_translate @ n15 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn15) ).
thf(387,axiom,
rdn_translate @ n14 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn14) ).
thf(388,axiom,
rdn_translate @ n13 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn13) ).
thf(389,axiom,
rdn_translate @ n12 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).
thf(390,axiom,
rdn_translate @ n11 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn11) ).
thf(391,axiom,
rdn_translate @ n10 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn10) ).
thf(392,axiom,
rdn_translate @ n9 @ ( rdn_pos @ ( rdnn @ n9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn9) ).
thf(393,axiom,
rdn_translate @ n8 @ ( rdn_pos @ ( rdnn @ n8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn8) ).
thf(394,axiom,
rdn_translate @ n7 @ ( rdn_pos @ ( rdnn @ n7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn7) ).
thf(395,axiom,
rdn_translate @ n6 @ ( rdn_pos @ ( rdnn @ n6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn6) ).
thf(396,axiom,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn5) ).
thf(397,axiom,
rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn4) ).
thf(398,axiom,
rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
thf(399,axiom,
rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
thf(400,axiom,
rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
thf(401,axiom,
rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
thf(402,conjecture,
n31 != n21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n31_not_n12) ).
thf(403,negated_conjecture,
( ( ( n31 != n21 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[402]) ).
thf(404,plain,
( ( ( n31 != n21 ) )
= $false ),
inference(unfold_def,[status(thm)],[403]) ).
thf(405,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( sum @ Y @ Z @ X )
<=> ( difference @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(406,plain,
( ( ! [X: $i,Y1: $i,Y2: $i,Z: $i] :
( ( ( sum @ X @ Y1 @ Z )
& ( sum @ X @ Y2 @ Z ) )
=> ( Y1 = Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(407,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z: $i] :
( ( ( sum @ X1 @ Y @ Z )
& ( sum @ X2 @ Y @ Z ) )
=> ( X1 = X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(408,plain,
( ( ! [X: $i,Y: $i,Z1: $i,Z2: $i] :
( ( ( sum @ X @ Y @ Z1 )
& ( sum @ X @ Y @ Z2 ) )
=> ( Z1 = Z2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(409,plain,
( ( ! [X: $i,Y: $i] :
( ( less_or_equal @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(410,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ X @ Y )
<=> ( ~ ( less @ Y @ X )
& ( Y != X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(411,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(412,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(413,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(414,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(415,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(416,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(417,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(418,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(419,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(420,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(421,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(422,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(423,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(424,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(425,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(426,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(427,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(428,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(429,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(430,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(431,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(432,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(433,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(434,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(435,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(436,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(437,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(438,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(439,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(440,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(441,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(442,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(443,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(444,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(445,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(446,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(447,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(448,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(449,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(450,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(451,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(452,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(453,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(454,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(455,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(456,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(457,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(458,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(459,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(460,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(461,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(462,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(463,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(464,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(465,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(466,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(467,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(468,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(469,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(470,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(471,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(472,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(473,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(474,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(475,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(476,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(477,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(478,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(479,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(480,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(481,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(482,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(483,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(484,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(485,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(486,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(487,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(488,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(489,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(490,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(491,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(492,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(493,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(494,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(495,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(496,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(497,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(498,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(499,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(500,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(501,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(502,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(503,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(504,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(505,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(506,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(507,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(508,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(509,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(510,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(511,plain,
( ( ! [C: $i,D1: $i,O1: $i,D2: $i,RD: $i,RO: $i] :
( ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(512,plain,
( ( ! [C: $i,D1: $i,O1: $i,D2: $i,O2: $i,RD: $i,RO: $i,ID: $i,IC1: $i,IC2: $i,RC: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
& ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ RC ) @ ( rdnn @ n0 ) )
& ( rdn_add_with_carry @ ( rdnn @ RC ) @ O1 @ O2 @ RO )
& ( rdn_non_zero @ O1 )
& ( rdn_non_zero @ O2 )
& ( rdn_non_zero @ RO ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdn @ ( rdnn @ D2 ) @ O2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(513,plain,
( ( ! [C: $i,D1: $i,D2: $i,O2: $i,RD: $i,RO: $i,ID: $i,IC1: $i,IC2: $i,NC: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
& ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ NC ) @ ( rdnn @ n0 ) )
& ( rdn_add_with_carry @ ( rdnn @ NC ) @ ( rdnn @ n0 ) @ O2 @ RO )
& ( rdn_non_zero @ O2 )
& ( rdn_non_zero @ RO ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdn @ ( rdnn @ D2 ) @ O2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(514,plain,
( ( ! [C: $i,D1: $i,D2: $i,ID: $i,RD: $i,IC1: $i,IC2: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
& ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ RD ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(515,plain,
( ( ! [C: $i,D1: $i,D2: $i,RD: $i,ID: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ n0 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ RD ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(516,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( sum @ Y @ X @ Z ) )
=> ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(517,plain,
( ( ! [POS_X: $i,NEG_X: $i,RDN_X: $i] :
( ( ( rdn_translate @ POS_X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ NEG_X @ ( rdn_neg @ RDN_X ) ) )
=> ( sum @ POS_X @ NEG_X @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(518,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_positive_less @ RDN_Y @ RDN_X )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_Y @ RDN_Z @ RDN_X )
& ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(519,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_positive_less @ RDN_X @ RDN_Y )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Z @ RDN_Y )
& ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(520,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
& ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(521,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
& ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(522,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( sum @ X @ n1 @ Y )
& ( less @ Z @ Y ) )
=> ( less_or_equal @ Z @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(523,plain,
( ( ! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
& ( rdn_positive_less @ RDN_Y @ RDN_X ) )
=> ( less @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(524,plain,
( ( ! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) ) )
=> ( less @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(525,plain,
( ( ! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( rdn_positive_less @ RDN_X @ RDN_Y ) )
=> ( less @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(526,plain,
( ( ! [D: $i,O: $i] :
( ( rdn_non_zero @ O )
=> ( rdn_non_zero @ ( rdn @ ( rdnn @ D ) @ O ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(527,plain,
( ( ! [X: $i] :
( ( rdn_non_zero_digit @ ( rdnn @ X ) )
=> ( rdn_non_zero @ ( rdnn @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(528,plain,
( ( ! [D: $i,Db: $i,Ob: $i] :
( ( rdn_non_zero @ Ob )
=> ( rdn_positive_less @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(529,plain,
( ( ! [Ds: $i,O: $i,Db: $i] :
( ( ( rdn_positive_less @ ( rdnn @ Ds ) @ ( rdnn @ Db ) )
& ( rdn_non_zero @ O ) )
=> ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ O ) @ ( rdn @ ( rdnn @ Db ) @ O ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(530,plain,
( ( ! [Ds: $i,Os: $i,Db: $i,Ob: $i] :
( ( rdn_positive_less @ Os @ Ob )
=> ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ Os ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(531,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Y ) )
& ( rdn_positive_less @ ( rdnn @ Y ) @ ( rdnn @ Z ) ) )
=> ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(532,plain,
( ( rdn_positive_less @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(533,plain,
( ( rdn_positive_less @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(534,plain,
( ( rdn_positive_less @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(535,plain,
( ( rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(536,plain,
( ( rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(537,plain,
( ( rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(538,plain,
( ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(539,plain,
( ( rdn_positive_less @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(540,plain,
( ( rdn_positive_less @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(541,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n9 ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(542,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n8 ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(543,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n7 ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(544,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n6 ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(545,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n5 ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(546,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n4 ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(547,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n3 ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(548,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n2 ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(549,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(550,plain,
( ( rdn_translate @ nn128 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(551,plain,
( ( rdn_translate @ nn127 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(552,plain,
( ( rdn_translate @ nn126 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(553,plain,
( ( rdn_translate @ nn125 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(554,plain,
( ( rdn_translate @ nn124 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(555,plain,
( ( rdn_translate @ nn123 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(556,plain,
( ( rdn_translate @ nn122 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(557,plain,
( ( rdn_translate @ nn121 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(558,plain,
( ( rdn_translate @ nn120 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(559,plain,
( ( rdn_translate @ nn119 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(560,plain,
( ( rdn_translate @ nn118 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(561,plain,
( ( rdn_translate @ nn117 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(562,plain,
( ( rdn_translate @ nn116 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(563,plain,
( ( rdn_translate @ nn115 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(564,plain,
( ( rdn_translate @ nn114 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(565,plain,
( ( rdn_translate @ nn113 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(566,plain,
( ( rdn_translate @ nn112 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(567,plain,
( ( rdn_translate @ nn111 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(568,plain,
( ( rdn_translate @ nn110 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(569,plain,
( ( rdn_translate @ nn109 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(570,plain,
( ( rdn_translate @ nn108 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(571,plain,
( ( rdn_translate @ nn107 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(572,plain,
( ( rdn_translate @ nn106 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(573,plain,
( ( rdn_translate @ nn105 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(574,plain,
( ( rdn_translate @ nn104 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(575,plain,
( ( rdn_translate @ nn103 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(576,plain,
( ( rdn_translate @ nn102 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(577,plain,
( ( rdn_translate @ nn101 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(578,plain,
( ( rdn_translate @ nn100 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(579,plain,
( ( rdn_translate @ nn99 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(580,plain,
( ( rdn_translate @ nn98 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(581,plain,
( ( rdn_translate @ nn97 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(582,plain,
( ( rdn_translate @ nn96 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(583,plain,
( ( rdn_translate @ nn95 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(584,plain,
( ( rdn_translate @ nn94 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(585,plain,
( ( rdn_translate @ nn93 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(586,plain,
( ( rdn_translate @ nn92 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(587,plain,
( ( rdn_translate @ nn91 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(588,plain,
( ( rdn_translate @ nn90 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(589,plain,
( ( rdn_translate @ nn89 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(590,plain,
( ( rdn_translate @ nn88 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(591,plain,
( ( rdn_translate @ nn87 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(592,plain,
( ( rdn_translate @ nn86 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(593,plain,
( ( rdn_translate @ nn85 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(594,plain,
( ( rdn_translate @ nn84 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(595,plain,
( ( rdn_translate @ nn83 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(596,plain,
( ( rdn_translate @ nn82 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(597,plain,
( ( rdn_translate @ nn81 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(598,plain,
( ( rdn_translate @ nn80 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(599,plain,
( ( rdn_translate @ nn79 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(600,plain,
( ( rdn_translate @ nn78 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(601,plain,
( ( rdn_translate @ nn77 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(602,plain,
( ( rdn_translate @ nn76 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(603,plain,
( ( rdn_translate @ nn75 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(604,plain,
( ( rdn_translate @ nn74 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(605,plain,
( ( rdn_translate @ nn73 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(606,plain,
( ( rdn_translate @ nn72 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(607,plain,
( ( rdn_translate @ nn71 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(608,plain,
( ( rdn_translate @ nn70 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(609,plain,
( ( rdn_translate @ nn69 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(610,plain,
( ( rdn_translate @ nn68 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(611,plain,
( ( rdn_translate @ nn67 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(612,plain,
( ( rdn_translate @ nn66 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(613,plain,
( ( rdn_translate @ nn65 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(614,plain,
( ( rdn_translate @ nn64 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(615,plain,
( ( rdn_translate @ nn63 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(616,plain,
( ( rdn_translate @ nn62 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(617,plain,
( ( rdn_translate @ nn61 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(618,plain,
( ( rdn_translate @ nn60 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(619,plain,
( ( rdn_translate @ nn59 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(620,plain,
( ( rdn_translate @ nn58 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(621,plain,
( ( rdn_translate @ nn57 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(622,plain,
( ( rdn_translate @ nn56 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(623,plain,
( ( rdn_translate @ nn55 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(624,plain,
( ( rdn_translate @ nn54 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(625,plain,
( ( rdn_translate @ nn53 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(626,plain,
( ( rdn_translate @ nn52 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(627,plain,
( ( rdn_translate @ nn51 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(628,plain,
( ( rdn_translate @ nn50 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(629,plain,
( ( rdn_translate @ nn49 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(630,plain,
( ( rdn_translate @ nn48 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(631,plain,
( ( rdn_translate @ nn47 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(632,plain,
( ( rdn_translate @ nn46 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(633,plain,
( ( rdn_translate @ nn45 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(634,plain,
( ( rdn_translate @ nn44 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(635,plain,
( ( rdn_translate @ nn43 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(636,plain,
( ( rdn_translate @ nn42 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(637,plain,
( ( rdn_translate @ nn41 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(638,plain,
( ( rdn_translate @ nn40 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(639,plain,
( ( rdn_translate @ nn39 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(640,plain,
( ( rdn_translate @ nn38 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(641,plain,
( ( rdn_translate @ nn37 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(642,plain,
( ( rdn_translate @ nn36 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(643,plain,
( ( rdn_translate @ nn35 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(644,plain,
( ( rdn_translate @ nn34 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(645,plain,
( ( rdn_translate @ nn33 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(646,plain,
( ( rdn_translate @ nn32 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(647,plain,
( ( rdn_translate @ nn31 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(648,plain,
( ( rdn_translate @ nn30 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(649,plain,
( ( rdn_translate @ nn29 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(650,plain,
( ( rdn_translate @ nn28 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(651,plain,
( ( rdn_translate @ nn27 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(652,plain,
( ( rdn_translate @ nn26 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(653,plain,
( ( rdn_translate @ nn25 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(654,plain,
( ( rdn_translate @ nn24 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(655,plain,
( ( rdn_translate @ nn23 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(656,plain,
( ( rdn_translate @ nn22 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(657,plain,
( ( rdn_translate @ nn21 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(658,plain,
( ( rdn_translate @ nn20 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(659,plain,
( ( rdn_translate @ nn19 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(660,plain,
( ( rdn_translate @ nn18 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(661,plain,
( ( rdn_translate @ nn17 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(662,plain,
( ( rdn_translate @ nn16 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(663,plain,
( ( rdn_translate @ nn15 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(664,plain,
( ( rdn_translate @ nn14 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(665,plain,
( ( rdn_translate @ nn13 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(666,plain,
( ( rdn_translate @ nn12 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(667,plain,
( ( rdn_translate @ nn11 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(668,plain,
( ( rdn_translate @ nn10 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(669,plain,
( ( rdn_translate @ nn9 @ ( rdn_neg @ ( rdnn @ n9 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(670,plain,
( ( rdn_translate @ nn8 @ ( rdn_neg @ ( rdnn @ n8 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(671,plain,
( ( rdn_translate @ nn7 @ ( rdn_neg @ ( rdnn @ n7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(672,plain,
( ( rdn_translate @ nn6 @ ( rdn_neg @ ( rdnn @ n6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(673,plain,
( ( rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(674,plain,
( ( rdn_translate @ nn4 @ ( rdn_neg @ ( rdnn @ n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(675,plain,
( ( rdn_translate @ nn3 @ ( rdn_neg @ ( rdnn @ n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(676,plain,
( ( rdn_translate @ nn2 @ ( rdn_neg @ ( rdnn @ n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(677,plain,
( ( rdn_translate @ nn1 @ ( rdn_neg @ ( rdnn @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(678,plain,
( ( rdn_translate @ n127 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(679,plain,
( ( rdn_translate @ n126 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(680,plain,
( ( rdn_translate @ n125 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(681,plain,
( ( rdn_translate @ n124 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(682,plain,
( ( rdn_translate @ n123 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(683,plain,
( ( rdn_translate @ n122 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(684,plain,
( ( rdn_translate @ n121 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(685,plain,
( ( rdn_translate @ n120 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(686,plain,
( ( rdn_translate @ n119 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(687,plain,
( ( rdn_translate @ n118 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(688,plain,
( ( rdn_translate @ n117 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(689,plain,
( ( rdn_translate @ n116 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(690,plain,
( ( rdn_translate @ n115 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(691,plain,
( ( rdn_translate @ n114 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(692,plain,
( ( rdn_translate @ n113 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(693,plain,
( ( rdn_translate @ n112 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(694,plain,
( ( rdn_translate @ n111 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(695,plain,
( ( rdn_translate @ n110 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(696,plain,
( ( rdn_translate @ n109 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(697,plain,
( ( rdn_translate @ n108 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(698,plain,
( ( rdn_translate @ n107 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(699,plain,
( ( rdn_translate @ n106 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(700,plain,
( ( rdn_translate @ n105 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(701,plain,
( ( rdn_translate @ n104 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(702,plain,
( ( rdn_translate @ n103 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(703,plain,
( ( rdn_translate @ n102 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(704,plain,
( ( rdn_translate @ n101 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(705,plain,
( ( rdn_translate @ n100 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(706,plain,
( ( rdn_translate @ n99 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(707,plain,
( ( rdn_translate @ n98 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(708,plain,
( ( rdn_translate @ n97 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(709,plain,
( ( rdn_translate @ n96 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(710,plain,
( ( rdn_translate @ n95 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(711,plain,
( ( rdn_translate @ n94 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(712,plain,
( ( rdn_translate @ n93 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(713,plain,
( ( rdn_translate @ n92 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(714,plain,
( ( rdn_translate @ n91 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(715,plain,
( ( rdn_translate @ n90 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(716,plain,
( ( rdn_translate @ n89 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(717,plain,
( ( rdn_translate @ n88 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(718,plain,
( ( rdn_translate @ n87 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(719,plain,
( ( rdn_translate @ n86 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(720,plain,
( ( rdn_translate @ n85 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(721,plain,
( ( rdn_translate @ n84 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(722,plain,
( ( rdn_translate @ n83 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(723,plain,
( ( rdn_translate @ n82 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(724,plain,
( ( rdn_translate @ n81 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(725,plain,
( ( rdn_translate @ n80 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(726,plain,
( ( rdn_translate @ n79 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(727,plain,
( ( rdn_translate @ n78 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(728,plain,
( ( rdn_translate @ n77 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(729,plain,
( ( rdn_translate @ n76 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(730,plain,
( ( rdn_translate @ n75 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(731,plain,
( ( rdn_translate @ n74 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(732,plain,
( ( rdn_translate @ n73 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(733,plain,
( ( rdn_translate @ n72 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(734,plain,
( ( rdn_translate @ n71 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(735,plain,
( ( rdn_translate @ n70 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(736,plain,
( ( rdn_translate @ n69 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(737,plain,
( ( rdn_translate @ n68 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(738,plain,
( ( rdn_translate @ n67 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(739,plain,
( ( rdn_translate @ n66 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(740,plain,
( ( rdn_translate @ n65 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(741,plain,
( ( rdn_translate @ n64 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(742,plain,
( ( rdn_translate @ n63 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(743,plain,
( ( rdn_translate @ n62 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(744,plain,
( ( rdn_translate @ n61 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(745,plain,
( ( rdn_translate @ n60 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(746,plain,
( ( rdn_translate @ n59 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(747,plain,
( ( rdn_translate @ n58 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(748,plain,
( ( rdn_translate @ n57 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(749,plain,
( ( rdn_translate @ n56 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(750,plain,
( ( rdn_translate @ n55 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(751,plain,
( ( rdn_translate @ n54 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(752,plain,
( ( rdn_translate @ n53 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(753,plain,
( ( rdn_translate @ n52 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(754,plain,
( ( rdn_translate @ n51 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(755,plain,
( ( rdn_translate @ n50 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(756,plain,
( ( rdn_translate @ n49 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(757,plain,
( ( rdn_translate @ n48 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(758,plain,
( ( rdn_translate @ n47 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(759,plain,
( ( rdn_translate @ n46 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(760,plain,
( ( rdn_translate @ n45 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(761,plain,
( ( rdn_translate @ n44 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(762,plain,
( ( rdn_translate @ n43 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(763,plain,
( ( rdn_translate @ n42 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(764,plain,
( ( rdn_translate @ n41 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(765,plain,
( ( rdn_translate @ n40 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(766,plain,
( ( rdn_translate @ n39 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[362]) ).
thf(767,plain,
( ( rdn_translate @ n38 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(768,plain,
( ( rdn_translate @ n37 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(769,plain,
( ( rdn_translate @ n36 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(770,plain,
( ( rdn_translate @ n35 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(771,plain,
( ( rdn_translate @ n34 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(772,plain,
( ( rdn_translate @ n33 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(773,plain,
( ( rdn_translate @ n32 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(774,plain,
( ( rdn_translate @ n30 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[371]) ).
thf(775,plain,
( ( rdn_translate @ n29 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(776,plain,
( ( rdn_translate @ n28 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(777,plain,
( ( rdn_translate @ n27 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(778,plain,
( ( rdn_translate @ n26 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(779,plain,
( ( rdn_translate @ n25 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(780,plain,
( ( rdn_translate @ n24 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(781,plain,
( ( rdn_translate @ n23 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(782,plain,
( ( rdn_translate @ n22 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[379]) ).
thf(783,plain,
( ( rdn_translate @ n20 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(784,plain,
( ( rdn_translate @ n19 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(785,plain,
( ( rdn_translate @ n18 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(786,plain,
( ( rdn_translate @ n17 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(787,plain,
( ( rdn_translate @ n16 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(788,plain,
( ( rdn_translate @ n15 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(789,plain,
( ( rdn_translate @ n14 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(790,plain,
( ( rdn_translate @ n13 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(791,plain,
( ( rdn_translate @ n12 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(792,plain,
( ( rdn_translate @ n11 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(793,plain,
( ( rdn_translate @ n10 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(794,plain,
( ( rdn_translate @ n9 @ ( rdn_pos @ ( rdnn @ n9 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(795,plain,
( ( rdn_translate @ n8 @ ( rdn_pos @ ( rdnn @ n8 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(796,plain,
( ( rdn_translate @ n7 @ ( rdn_pos @ ( rdnn @ n7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(797,plain,
( ( rdn_translate @ n6 @ ( rdn_pos @ ( rdnn @ n6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(798,plain,
( ( rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(799,plain,
( ( rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(800,plain,
( ( rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(801,plain,
( ( rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(802,plain,
( ( rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(803,plain,
( ( rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(804,plain,
( ( rdn_translate @ n31 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(805,plain,
( ( rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(806,plain,
( ( ~ ( ( n31 != n21 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[404]) ).
thf(807,plain,
( ( n31 = n21 )
= $true ),
inference(extcnf_combined,[status(esa)],[806]) ).
thf(808,plain,
( ( ! [X: $i] :
( ! [Y: $i,Z: $i] :
( ~ ( difference @ X @ Y @ Z )
| ( sum @ Y @ Z @ X ) )
& ! [Y: $i,Z: $i] :
( ~ ( sum @ Y @ Z @ X )
| ( difference @ X @ Y @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[405]) ).
thf(809,plain,
( ( ! [X: $i,Y1: $i,Y2: $i] :
( ! [Z: $i] :
( ~ ( sum @ X @ Y1 @ Z )
| ~ ( sum @ X @ Y2 @ Z ) )
| ( Y1 = Y2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[406]) ).
thf(810,plain,
( ( ! [X1: $i,X2: $i] :
( ! [Y: $i,Z: $i] :
( ~ ( sum @ X1 @ Y @ Z )
| ~ ( sum @ X2 @ Y @ Z ) )
| ( X1 = X2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[407]) ).
thf(811,plain,
( ( ! [X: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( sum @ X @ Y @ Z1 )
| ~ ( sum @ X @ Y @ Z2 )
| ( Z1 = Z2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[408]) ).
thf(812,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_or_equal @ X @ Y )
| ( X = Y )
| ( less @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( less_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( less_or_equal @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[409]) ).
thf(813,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ( Y = X )
| ( less @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ~ ( less @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( Y != X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[410]) ).
thf(814,plain,
( ( ! [C: $i,D1: $i,O1: $i,D2: $i,RD: $i,RO: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[511]) ).
thf(815,plain,
( ( ! [C: $i,D1: $i,O1: $i,D2: $i,O2: $i,RD: $i,RO: $i,ID: $i,IC1: $i] :
( ! [IC2: $i,RC: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
| ~ ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
| ~ ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ RC ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ RC ) @ O1 @ O2 @ RO ) )
| ~ ( rdn_non_zero @ O1 )
| ~ ( rdn_non_zero @ O2 )
| ~ ( rdn_non_zero @ RO )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdn @ ( rdnn @ D2 ) @ O2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[512]) ).
thf(816,plain,
( ( ! [C: $i,D1: $i,D2: $i,O2: $i,RD: $i,RO: $i,ID: $i,IC1: $i] :
( ! [IC2: $i,NC: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
| ~ ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
| ~ ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ NC ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ NC ) @ ( rdnn @ n0 ) @ O2 @ RO ) )
| ~ ( rdn_non_zero @ O2 )
| ~ ( rdn_non_zero @ RO )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdn @ ( rdnn @ D2 ) @ O2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[513]) ).
thf(817,plain,
( ( ! [C: $i,D1: $i,D2: $i,ID: $i,RD: $i] :
( ! [IC1: $i,IC2: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
| ~ ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
| ~ ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ RD ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[514]) ).
thf(818,plain,
( ( ! [C: $i,D1: $i,D2: $i,RD: $i] :
( ! [ID: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ RD ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[515]) ).
thf(819,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ! [RDN_X: $i] :
~ ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
| ! [RDN_Y: $i] :
~ ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
| ~ ( sum @ Y @ X @ Z )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[516]) ).
thf(820,plain,
( ( ! [POS_X: $i,NEG_X: $i] :
( ! [RDN_X: $i] :
( ~ ( rdn_translate @ POS_X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ NEG_X @ ( rdn_neg @ RDN_X ) ) )
| ( sum @ POS_X @ NEG_X @ n0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[517]) ).
thf(821,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i] :
( ! [RDN_Y: $i,RDN_Z: $i] :
( ~ ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
| ~ ( rdn_positive_less @ RDN_Y @ RDN_X )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_Y @ RDN_Z @ RDN_X )
| ~ ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[518]) ).
thf(822,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i] :
( ! [RDN_Y: $i,RDN_Z: $i] :
( ~ ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
| ~ ( rdn_positive_less @ RDN_X @ RDN_Y )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Z @ RDN_Y )
| ~ ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[519]) ).
thf(823,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i] :
( ! [RDN_Y: $i,RDN_Z: $i] :
( ~ ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
| ~ ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[520]) ).
thf(824,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i] :
( ! [RDN_Y: $i,RDN_Z: $i] :
( ~ ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
| ~ ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[521]) ).
thf(825,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ Z @ Y )
| ~ ( sum @ X @ n1 @ Y )
| ( less_or_equal @ Z @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[522]) ).
thf(826,plain,
( ( ! [X: $i,Y: $i] :
( ! [RDN_X: $i,RDN_Y: $i] :
( ~ ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
| ~ ( rdn_positive_less @ RDN_Y @ RDN_X ) )
| ( less @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[523]) ).
thf(827,plain,
( ( ! [X: $i,Y: $i] :
( ! [RDN_X: $i] :
~ ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
| ! [RDN_Y: $i] :
~ ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
| ( less @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[524]) ).
thf(828,plain,
( ( ! [X: $i,Y: $i] :
( ! [RDN_X: $i,RDN_Y: $i] :
( ~ ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
| ~ ( rdn_positive_less @ RDN_X @ RDN_Y ) )
| ( less @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[525]) ).
thf(829,plain,
( ( ! [D: $i,O: $i] :
( ~ ( rdn_non_zero @ O )
| ( rdn_non_zero @ ( rdn @ ( rdnn @ D ) @ O ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[526]) ).
thf(830,plain,
( ( ! [X: $i] :
( ~ ( rdn_non_zero_digit @ ( rdnn @ X ) )
| ( rdn_non_zero @ ( rdnn @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[527]) ).
thf(831,plain,
( ( ! [D: $i,Db: $i,Ob: $i] :
( ~ ( rdn_non_zero @ Ob )
| ( rdn_positive_less @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[528]) ).
thf(832,plain,
( ( ! [Ds: $i,O: $i,Db: $i] :
( ~ ( rdn_non_zero @ O )
| ~ ( rdn_positive_less @ ( rdnn @ Ds ) @ ( rdnn @ Db ) )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ O ) @ ( rdn @ ( rdnn @ Db ) @ O ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[529]) ).
thf(833,plain,
( ( ! [Ds: $i,Os: $i,Db: $i,Ob: $i] :
( ~ ( rdn_positive_less @ Os @ Ob )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ Os ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[530]) ).
thf(834,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Y ) )
| ~ ( rdn_positive_less @ ( rdnn @ Y ) @ ( rdnn @ Z ) )
| ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[531]) ).
thf(835,plain,
( ( rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[805]) ).
thf(836,plain,
( ( rdn_translate @ n31 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[804]) ).
thf(837,plain,
( ( rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[803]) ).
thf(838,plain,
( ( rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[802]) ).
thf(839,plain,
( ( rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ) )
= $true ),
inference(copy,[status(thm)],[801]) ).
thf(840,plain,
( ( rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ) )
= $true ),
inference(copy,[status(thm)],[800]) ).
thf(841,plain,
( ( rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ) )
= $true ),
inference(copy,[status(thm)],[799]) ).
thf(842,plain,
( ( rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ) )
= $true ),
inference(copy,[status(thm)],[798]) ).
thf(843,plain,
( ( rdn_translate @ n6 @ ( rdn_pos @ ( rdnn @ n6 ) ) )
= $true ),
inference(copy,[status(thm)],[797]) ).
thf(844,plain,
( ( rdn_translate @ n7 @ ( rdn_pos @ ( rdnn @ n7 ) ) )
= $true ),
inference(copy,[status(thm)],[796]) ).
thf(845,plain,
( ( rdn_translate @ n8 @ ( rdn_pos @ ( rdnn @ n8 ) ) )
= $true ),
inference(copy,[status(thm)],[795]) ).
thf(846,plain,
( ( rdn_translate @ n9 @ ( rdn_pos @ ( rdnn @ n9 ) ) )
= $true ),
inference(copy,[status(thm)],[794]) ).
thf(847,plain,
( ( rdn_translate @ n10 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[793]) ).
thf(848,plain,
( ( rdn_translate @ n11 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[792]) ).
thf(849,plain,
( ( rdn_translate @ n12 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[791]) ).
thf(850,plain,
( ( rdn_translate @ n13 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[790]) ).
thf(851,plain,
( ( rdn_translate @ n14 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[789]) ).
thf(852,plain,
( ( rdn_translate @ n15 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[788]) ).
thf(853,plain,
( ( rdn_translate @ n16 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[787]) ).
thf(854,plain,
( ( rdn_translate @ n17 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[786]) ).
thf(855,plain,
( ( rdn_translate @ n18 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[785]) ).
thf(856,plain,
( ( rdn_translate @ n19 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[784]) ).
thf(857,plain,
( ( rdn_translate @ n20 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[783]) ).
thf(858,plain,
( ( rdn_translate @ n22 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[782]) ).
thf(859,plain,
( ( rdn_translate @ n23 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[781]) ).
thf(860,plain,
( ( rdn_translate @ n24 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[780]) ).
thf(861,plain,
( ( rdn_translate @ n25 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[779]) ).
thf(862,plain,
( ( rdn_translate @ n26 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[778]) ).
thf(863,plain,
( ( rdn_translate @ n27 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[777]) ).
thf(864,plain,
( ( rdn_translate @ n28 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[776]) ).
thf(865,plain,
( ( rdn_translate @ n29 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[775]) ).
thf(866,plain,
( ( rdn_translate @ n30 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[774]) ).
thf(867,plain,
( ( rdn_translate @ n32 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[773]) ).
thf(868,plain,
( ( rdn_translate @ n33 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[772]) ).
thf(869,plain,
( ( rdn_translate @ n34 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[771]) ).
thf(870,plain,
( ( rdn_translate @ n35 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[770]) ).
thf(871,plain,
( ( rdn_translate @ n36 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[769]) ).
thf(872,plain,
( ( rdn_translate @ n37 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[768]) ).
thf(873,plain,
( ( rdn_translate @ n38 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[767]) ).
thf(874,plain,
( ( rdn_translate @ n39 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[766]) ).
thf(875,plain,
( ( rdn_translate @ n40 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[765]) ).
thf(876,plain,
( ( rdn_translate @ n41 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[764]) ).
thf(877,plain,
( ( rdn_translate @ n42 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[763]) ).
thf(878,plain,
( ( rdn_translate @ n43 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[762]) ).
thf(879,plain,
( ( rdn_translate @ n44 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[761]) ).
thf(880,plain,
( ( rdn_translate @ n45 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[760]) ).
thf(881,plain,
( ( rdn_translate @ n46 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[759]) ).
thf(882,plain,
( ( rdn_translate @ n47 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[758]) ).
thf(883,plain,
( ( rdn_translate @ n48 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[757]) ).
thf(884,plain,
( ( rdn_translate @ n49 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[756]) ).
thf(885,plain,
( ( rdn_translate @ n50 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[755]) ).
thf(886,plain,
( ( rdn_translate @ n51 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[754]) ).
thf(887,plain,
( ( rdn_translate @ n52 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[753]) ).
thf(888,plain,
( ( rdn_translate @ n53 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[752]) ).
thf(889,plain,
( ( rdn_translate @ n54 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[751]) ).
thf(890,plain,
( ( rdn_translate @ n55 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[750]) ).
thf(891,plain,
( ( rdn_translate @ n56 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[749]) ).
thf(892,plain,
( ( rdn_translate @ n57 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[748]) ).
thf(893,plain,
( ( rdn_translate @ n58 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[747]) ).
thf(894,plain,
( ( rdn_translate @ n59 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[746]) ).
thf(895,plain,
( ( rdn_translate @ n60 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[745]) ).
thf(896,plain,
( ( rdn_translate @ n61 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[744]) ).
thf(897,plain,
( ( rdn_translate @ n62 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[743]) ).
thf(898,plain,
( ( rdn_translate @ n63 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[742]) ).
thf(899,plain,
( ( rdn_translate @ n64 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[741]) ).
thf(900,plain,
( ( rdn_translate @ n65 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[740]) ).
thf(901,plain,
( ( rdn_translate @ n66 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[739]) ).
thf(902,plain,
( ( rdn_translate @ n67 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[738]) ).
thf(903,plain,
( ( rdn_translate @ n68 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[737]) ).
thf(904,plain,
( ( rdn_translate @ n69 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[736]) ).
thf(905,plain,
( ( rdn_translate @ n70 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[735]) ).
thf(906,plain,
( ( rdn_translate @ n71 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[734]) ).
thf(907,plain,
( ( rdn_translate @ n72 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[733]) ).
thf(908,plain,
( ( rdn_translate @ n73 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[732]) ).
thf(909,plain,
( ( rdn_translate @ n74 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[731]) ).
thf(910,plain,
( ( rdn_translate @ n75 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[730]) ).
thf(911,plain,
( ( rdn_translate @ n76 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[729]) ).
thf(912,plain,
( ( rdn_translate @ n77 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[728]) ).
thf(913,plain,
( ( rdn_translate @ n78 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[727]) ).
thf(914,plain,
( ( rdn_translate @ n79 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[726]) ).
thf(915,plain,
( ( rdn_translate @ n80 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[725]) ).
thf(916,plain,
( ( rdn_translate @ n81 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[724]) ).
thf(917,plain,
( ( rdn_translate @ n82 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[723]) ).
thf(918,plain,
( ( rdn_translate @ n83 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[722]) ).
thf(919,plain,
( ( rdn_translate @ n84 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[721]) ).
thf(920,plain,
( ( rdn_translate @ n85 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[720]) ).
thf(921,plain,
( ( rdn_translate @ n86 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[719]) ).
thf(922,plain,
( ( rdn_translate @ n87 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[718]) ).
thf(923,plain,
( ( rdn_translate @ n88 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[717]) ).
thf(924,plain,
( ( rdn_translate @ n89 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[716]) ).
thf(925,plain,
( ( rdn_translate @ n90 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[715]) ).
thf(926,plain,
( ( rdn_translate @ n91 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[714]) ).
thf(927,plain,
( ( rdn_translate @ n92 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[713]) ).
thf(928,plain,
( ( rdn_translate @ n93 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[712]) ).
thf(929,plain,
( ( rdn_translate @ n94 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[711]) ).
thf(930,plain,
( ( rdn_translate @ n95 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[710]) ).
thf(931,plain,
( ( rdn_translate @ n96 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[709]) ).
thf(932,plain,
( ( rdn_translate @ n97 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[708]) ).
thf(933,plain,
( ( rdn_translate @ n98 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[707]) ).
thf(934,plain,
( ( rdn_translate @ n99 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[706]) ).
thf(935,plain,
( ( rdn_translate @ n100 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[705]) ).
thf(936,plain,
( ( rdn_translate @ n101 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[704]) ).
thf(937,plain,
( ( rdn_translate @ n102 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[703]) ).
thf(938,plain,
( ( rdn_translate @ n103 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[702]) ).
thf(939,plain,
( ( rdn_translate @ n104 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[701]) ).
thf(940,plain,
( ( rdn_translate @ n105 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[700]) ).
thf(941,plain,
( ( rdn_translate @ n106 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[699]) ).
thf(942,plain,
( ( rdn_translate @ n107 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[698]) ).
thf(943,plain,
( ( rdn_translate @ n108 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[697]) ).
thf(944,plain,
( ( rdn_translate @ n109 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[696]) ).
thf(945,plain,
( ( rdn_translate @ n110 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[695]) ).
thf(946,plain,
( ( rdn_translate @ n111 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[694]) ).
thf(947,plain,
( ( rdn_translate @ n112 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[693]) ).
thf(948,plain,
( ( rdn_translate @ n113 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[692]) ).
thf(949,plain,
( ( rdn_translate @ n114 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[691]) ).
thf(950,plain,
( ( rdn_translate @ n115 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[690]) ).
thf(951,plain,
( ( rdn_translate @ n116 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[689]) ).
thf(952,plain,
( ( rdn_translate @ n117 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[688]) ).
thf(953,plain,
( ( rdn_translate @ n118 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[687]) ).
thf(954,plain,
( ( rdn_translate @ n119 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[686]) ).
thf(955,plain,
( ( rdn_translate @ n120 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[685]) ).
thf(956,plain,
( ( rdn_translate @ n121 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[684]) ).
thf(957,plain,
( ( rdn_translate @ n122 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[683]) ).
thf(958,plain,
( ( rdn_translate @ n123 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[682]) ).
thf(959,plain,
( ( rdn_translate @ n124 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[681]) ).
thf(960,plain,
( ( rdn_translate @ n125 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[680]) ).
thf(961,plain,
( ( rdn_translate @ n126 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[679]) ).
thf(962,plain,
( ( rdn_translate @ n127 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[678]) ).
thf(963,plain,
( ( rdn_translate @ nn1 @ ( rdn_neg @ ( rdnn @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[677]) ).
thf(964,plain,
( ( rdn_translate @ nn2 @ ( rdn_neg @ ( rdnn @ n2 ) ) )
= $true ),
inference(copy,[status(thm)],[676]) ).
thf(965,plain,
( ( rdn_translate @ nn3 @ ( rdn_neg @ ( rdnn @ n3 ) ) )
= $true ),
inference(copy,[status(thm)],[675]) ).
thf(966,plain,
( ( rdn_translate @ nn4 @ ( rdn_neg @ ( rdnn @ n4 ) ) )
= $true ),
inference(copy,[status(thm)],[674]) ).
thf(967,plain,
( ( rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ) )
= $true ),
inference(copy,[status(thm)],[673]) ).
thf(968,plain,
( ( rdn_translate @ nn6 @ ( rdn_neg @ ( rdnn @ n6 ) ) )
= $true ),
inference(copy,[status(thm)],[672]) ).
thf(969,plain,
( ( rdn_translate @ nn7 @ ( rdn_neg @ ( rdnn @ n7 ) ) )
= $true ),
inference(copy,[status(thm)],[671]) ).
thf(970,plain,
( ( rdn_translate @ nn8 @ ( rdn_neg @ ( rdnn @ n8 ) ) )
= $true ),
inference(copy,[status(thm)],[670]) ).
thf(971,plain,
( ( rdn_translate @ nn9 @ ( rdn_neg @ ( rdnn @ n9 ) ) )
= $true ),
inference(copy,[status(thm)],[669]) ).
thf(972,plain,
( ( rdn_translate @ nn10 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[668]) ).
thf(973,plain,
( ( rdn_translate @ nn11 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[667]) ).
thf(974,plain,
( ( rdn_translate @ nn12 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[666]) ).
thf(975,plain,
( ( rdn_translate @ nn13 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[665]) ).
thf(976,plain,
( ( rdn_translate @ nn14 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[664]) ).
thf(977,plain,
( ( rdn_translate @ nn15 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[663]) ).
thf(978,plain,
( ( rdn_translate @ nn16 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[662]) ).
thf(979,plain,
( ( rdn_translate @ nn17 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[661]) ).
thf(980,plain,
( ( rdn_translate @ nn18 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[660]) ).
thf(981,plain,
( ( rdn_translate @ nn19 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[659]) ).
thf(982,plain,
( ( rdn_translate @ nn20 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[658]) ).
thf(983,plain,
( ( rdn_translate @ nn21 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[657]) ).
thf(984,plain,
( ( rdn_translate @ nn22 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[656]) ).
thf(985,plain,
( ( rdn_translate @ nn23 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[655]) ).
thf(986,plain,
( ( rdn_translate @ nn24 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[654]) ).
thf(987,plain,
( ( rdn_translate @ nn25 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[653]) ).
thf(988,plain,
( ( rdn_translate @ nn26 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[652]) ).
thf(989,plain,
( ( rdn_translate @ nn27 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[651]) ).
thf(990,plain,
( ( rdn_translate @ nn28 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[650]) ).
thf(991,plain,
( ( rdn_translate @ nn29 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[649]) ).
thf(992,plain,
( ( rdn_translate @ nn30 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[648]) ).
thf(993,plain,
( ( rdn_translate @ nn31 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[647]) ).
thf(994,plain,
( ( rdn_translate @ nn32 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[646]) ).
thf(995,plain,
( ( rdn_translate @ nn33 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[645]) ).
thf(996,plain,
( ( rdn_translate @ nn34 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[644]) ).
thf(997,plain,
( ( rdn_translate @ nn35 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[643]) ).
thf(998,plain,
( ( rdn_translate @ nn36 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[642]) ).
thf(999,plain,
( ( rdn_translate @ nn37 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[641]) ).
thf(1000,plain,
( ( rdn_translate @ nn38 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[640]) ).
thf(1001,plain,
( ( rdn_translate @ nn39 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[639]) ).
thf(1002,plain,
( ( rdn_translate @ nn40 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[638]) ).
thf(1003,plain,
( ( rdn_translate @ nn41 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[637]) ).
thf(1004,plain,
( ( rdn_translate @ nn42 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[636]) ).
thf(1005,plain,
( ( rdn_translate @ nn43 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[635]) ).
thf(1006,plain,
( ( rdn_translate @ nn44 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[634]) ).
thf(1007,plain,
( ( rdn_translate @ nn45 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[633]) ).
thf(1008,plain,
( ( rdn_translate @ nn46 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[632]) ).
thf(1009,plain,
( ( rdn_translate @ nn47 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[631]) ).
thf(1010,plain,
( ( rdn_translate @ nn48 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[630]) ).
thf(1011,plain,
( ( rdn_translate @ nn49 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[629]) ).
thf(1012,plain,
( ( rdn_translate @ nn50 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[628]) ).
thf(1013,plain,
( ( rdn_translate @ nn51 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[627]) ).
thf(1014,plain,
( ( rdn_translate @ nn52 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[626]) ).
thf(1015,plain,
( ( rdn_translate @ nn53 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[625]) ).
thf(1016,plain,
( ( rdn_translate @ nn54 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[624]) ).
thf(1017,plain,
( ( rdn_translate @ nn55 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[623]) ).
thf(1018,plain,
( ( rdn_translate @ nn56 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[622]) ).
thf(1019,plain,
( ( rdn_translate @ nn57 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[621]) ).
thf(1020,plain,
( ( rdn_translate @ nn58 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[620]) ).
thf(1021,plain,
( ( rdn_translate @ nn59 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[619]) ).
thf(1022,plain,
( ( rdn_translate @ nn60 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[618]) ).
thf(1023,plain,
( ( rdn_translate @ nn61 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[617]) ).
thf(1024,plain,
( ( rdn_translate @ nn62 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[616]) ).
thf(1025,plain,
( ( rdn_translate @ nn63 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[615]) ).
thf(1026,plain,
( ( rdn_translate @ nn64 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[614]) ).
thf(1027,plain,
( ( rdn_translate @ nn65 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[613]) ).
thf(1028,plain,
( ( rdn_translate @ nn66 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[612]) ).
thf(1029,plain,
( ( rdn_translate @ nn67 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[611]) ).
thf(1030,plain,
( ( rdn_translate @ nn68 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[610]) ).
thf(1031,plain,
( ( rdn_translate @ nn69 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[609]) ).
thf(1032,plain,
( ( rdn_translate @ nn70 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[608]) ).
thf(1033,plain,
( ( rdn_translate @ nn71 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[607]) ).
thf(1034,plain,
( ( rdn_translate @ nn72 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[606]) ).
thf(1035,plain,
( ( rdn_translate @ nn73 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[605]) ).
thf(1036,plain,
( ( rdn_translate @ nn74 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[604]) ).
thf(1037,plain,
( ( rdn_translate @ nn75 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[603]) ).
thf(1038,plain,
( ( rdn_translate @ nn76 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[602]) ).
thf(1039,plain,
( ( rdn_translate @ nn77 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[601]) ).
thf(1040,plain,
( ( rdn_translate @ nn78 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[600]) ).
thf(1041,plain,
( ( rdn_translate @ nn79 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[599]) ).
thf(1042,plain,
( ( rdn_translate @ nn80 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[598]) ).
thf(1043,plain,
( ( rdn_translate @ nn81 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[597]) ).
thf(1044,plain,
( ( rdn_translate @ nn82 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[596]) ).
thf(1045,plain,
( ( rdn_translate @ nn83 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[595]) ).
thf(1046,plain,
( ( rdn_translate @ nn84 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[594]) ).
thf(1047,plain,
( ( rdn_translate @ nn85 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[593]) ).
thf(1048,plain,
( ( rdn_translate @ nn86 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[592]) ).
thf(1049,plain,
( ( rdn_translate @ nn87 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[591]) ).
thf(1050,plain,
( ( rdn_translate @ nn88 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[590]) ).
thf(1051,plain,
( ( rdn_translate @ nn89 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[589]) ).
thf(1052,plain,
( ( rdn_translate @ nn90 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[588]) ).
thf(1053,plain,
( ( rdn_translate @ nn91 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[587]) ).
thf(1054,plain,
( ( rdn_translate @ nn92 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[586]) ).
thf(1055,plain,
( ( rdn_translate @ nn93 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[585]) ).
thf(1056,plain,
( ( rdn_translate @ nn94 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[584]) ).
thf(1057,plain,
( ( rdn_translate @ nn95 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[583]) ).
thf(1058,plain,
( ( rdn_translate @ nn96 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[582]) ).
thf(1059,plain,
( ( rdn_translate @ nn97 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[581]) ).
thf(1060,plain,
( ( rdn_translate @ nn98 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[580]) ).
thf(1061,plain,
( ( rdn_translate @ nn99 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[579]) ).
thf(1062,plain,
( ( rdn_translate @ nn100 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[578]) ).
thf(1063,plain,
( ( rdn_translate @ nn101 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[577]) ).
thf(1064,plain,
( ( rdn_translate @ nn102 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[576]) ).
thf(1065,plain,
( ( rdn_translate @ nn103 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[575]) ).
thf(1066,plain,
( ( rdn_translate @ nn104 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[574]) ).
thf(1067,plain,
( ( rdn_translate @ nn105 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[573]) ).
thf(1068,plain,
( ( rdn_translate @ nn106 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[572]) ).
thf(1069,plain,
( ( rdn_translate @ nn107 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[571]) ).
thf(1070,plain,
( ( rdn_translate @ nn108 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[570]) ).
thf(1071,plain,
( ( rdn_translate @ nn109 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[569]) ).
thf(1072,plain,
( ( rdn_translate @ nn110 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[568]) ).
thf(1073,plain,
( ( rdn_translate @ nn111 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[567]) ).
thf(1074,plain,
( ( rdn_translate @ nn112 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[566]) ).
thf(1075,plain,
( ( rdn_translate @ nn113 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[565]) ).
thf(1076,plain,
( ( rdn_translate @ nn114 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[564]) ).
thf(1077,plain,
( ( rdn_translate @ nn115 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[563]) ).
thf(1078,plain,
( ( rdn_translate @ nn116 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[562]) ).
thf(1079,plain,
( ( rdn_translate @ nn117 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[561]) ).
thf(1080,plain,
( ( rdn_translate @ nn118 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[560]) ).
thf(1081,plain,
( ( rdn_translate @ nn119 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[559]) ).
thf(1082,plain,
( ( rdn_translate @ nn120 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[558]) ).
thf(1083,plain,
( ( rdn_translate @ nn121 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[557]) ).
thf(1084,plain,
( ( rdn_translate @ nn122 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[556]) ).
thf(1085,plain,
( ( rdn_translate @ nn123 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[555]) ).
thf(1086,plain,
( ( rdn_translate @ nn124 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[554]) ).
thf(1087,plain,
( ( rdn_translate @ nn125 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[553]) ).
thf(1088,plain,
( ( rdn_translate @ nn126 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[552]) ).
thf(1089,plain,
( ( rdn_translate @ nn127 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[551]) ).
thf(1090,plain,
( ( rdn_translate @ nn128 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[550]) ).
thf(1091,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[549]) ).
thf(1092,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n2 ) )
= $true ),
inference(copy,[status(thm)],[548]) ).
thf(1093,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n3 ) )
= $true ),
inference(copy,[status(thm)],[547]) ).
thf(1094,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n4 ) )
= $true ),
inference(copy,[status(thm)],[546]) ).
thf(1095,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n5 ) )
= $true ),
inference(copy,[status(thm)],[545]) ).
thf(1096,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n6 ) )
= $true ),
inference(copy,[status(thm)],[544]) ).
thf(1097,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n7 ) )
= $true ),
inference(copy,[status(thm)],[543]) ).
thf(1098,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n8 ) )
= $true ),
inference(copy,[status(thm)],[542]) ).
thf(1099,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n9 ) )
= $true ),
inference(copy,[status(thm)],[541]) ).
thf(1100,plain,
( ( rdn_positive_less @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[540]) ).
thf(1101,plain,
( ( rdn_positive_less @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) )
= $true ),
inference(copy,[status(thm)],[539]) ).
thf(1102,plain,
( ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) )
= $true ),
inference(copy,[status(thm)],[538]) ).
thf(1103,plain,
( ( rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) )
= $true ),
inference(copy,[status(thm)],[537]) ).
thf(1104,plain,
( ( rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) )
= $true ),
inference(copy,[status(thm)],[536]) ).
thf(1105,plain,
( ( rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) )
= $true ),
inference(copy,[status(thm)],[535]) ).
thf(1106,plain,
( ( rdn_positive_less @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) )
= $true ),
inference(copy,[status(thm)],[534]) ).
thf(1107,plain,
( ( rdn_positive_less @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) )
= $true ),
inference(copy,[status(thm)],[533]) ).
thf(1108,plain,
( ( rdn_positive_less @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) )
= $true ),
inference(copy,[status(thm)],[532]) ).
thf(1109,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Y ) )
| ~ ( rdn_positive_less @ ( rdnn @ Y ) @ ( rdnn @ Z ) )
| ( rdn_positive_less @ ( rdnn @ X ) @ ( rdnn @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[834]) ).
thf(1110,plain,
( ( ! [Ds: $i,Os: $i,Db: $i,Ob: $i] :
( ~ ( rdn_positive_less @ Os @ Ob )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ Os ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ) )
= $true ),
inference(copy,[status(thm)],[833]) ).
thf(1111,plain,
( ( ! [Ds: $i,O: $i,Db: $i] :
( ~ ( rdn_non_zero @ O )
| ~ ( rdn_positive_less @ ( rdnn @ Ds ) @ ( rdnn @ Db ) )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ Ds ) @ O ) @ ( rdn @ ( rdnn @ Db ) @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[832]) ).
thf(1112,plain,
( ( ! [D: $i,Db: $i,Ob: $i] :
( ~ ( rdn_non_zero @ Ob )
| ( rdn_positive_less @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ Db ) @ Ob ) ) ) )
= $true ),
inference(copy,[status(thm)],[831]) ).
thf(1113,plain,
( ( ! [X: $i] :
( ~ ( rdn_non_zero_digit @ ( rdnn @ X ) )
| ( rdn_non_zero @ ( rdnn @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[830]) ).
thf(1114,plain,
( ( ! [D: $i,O: $i] :
( ~ ( rdn_non_zero @ O )
| ( rdn_non_zero @ ( rdn @ ( rdnn @ D ) @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[829]) ).
thf(1115,plain,
( ( ! [X: $i,Y: $i] :
( ! [RDN_X: $i,RDN_Y: $i] :
( ~ ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
| ~ ( rdn_positive_less @ RDN_X @ RDN_Y ) )
| ( less @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[828]) ).
thf(1116,plain,
( ( ! [X: $i,Y: $i] :
( ! [RDN_X: $i] :
~ ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
| ! [RDN_Y: $i] :
~ ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
| ( less @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[827]) ).
thf(1117,plain,
( ( ! [X: $i,Y: $i] :
( ! [RDN_X: $i,RDN_Y: $i] :
( ~ ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
| ~ ( rdn_positive_less @ RDN_Y @ RDN_X ) )
| ( less @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[826]) ).
thf(1118,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ Z @ Y )
| ~ ( sum @ X @ n1 @ Y )
| ( less_or_equal @ Z @ X ) ) )
= $true ),
inference(copy,[status(thm)],[825]) ).
thf(1119,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i] :
( ! [RDN_Y: $i,RDN_Z: $i] :
( ~ ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
| ~ ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[824]) ).
thf(1120,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i] :
( ! [RDN_Y: $i,RDN_Z: $i] :
( ~ ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
| ~ ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[823]) ).
thf(1121,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i] :
( ! [RDN_Y: $i,RDN_Z: $i] :
( ~ ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
| ~ ( rdn_positive_less @ RDN_X @ RDN_Y )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Z @ RDN_Y )
| ~ ( rdn_translate @ Z @ ( rdn_neg @ RDN_Z ) ) )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[822]) ).
thf(1122,plain,
( ( ! [X: $i,Y: $i,Z: $i,RDN_X: $i] :
( ! [RDN_Y: $i,RDN_Z: $i] :
( ~ ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ Y @ ( rdn_neg @ RDN_Y ) )
| ~ ( rdn_positive_less @ RDN_Y @ RDN_X )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_Y @ RDN_Z @ RDN_X )
| ~ ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[821]) ).
thf(1123,plain,
( ( ! [POS_X: $i,NEG_X: $i] :
( ! [RDN_X: $i] :
( ~ ( rdn_translate @ POS_X @ ( rdn_pos @ RDN_X ) )
| ~ ( rdn_translate @ NEG_X @ ( rdn_neg @ RDN_X ) ) )
| ( sum @ POS_X @ NEG_X @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[820]) ).
thf(1124,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ! [RDN_X: $i] :
~ ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
| ! [RDN_Y: $i] :
~ ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
| ~ ( sum @ Y @ X @ Z )
| ( sum @ X @ Y @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[819]) ).
thf(1125,plain,
( ( ! [C: $i,D1: $i,D2: $i,RD: $i] :
( ! [ID: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ RD ) ) ) )
= $true ),
inference(copy,[status(thm)],[818]) ).
thf(1126,plain,
( ( ! [C: $i,D1: $i,D2: $i,ID: $i,RD: $i] :
( ! [IC1: $i,IC2: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
| ~ ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
| ~ ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ RD ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[817]) ).
thf(1127,plain,
( ( ! [C: $i,D1: $i,D2: $i,O2: $i,RD: $i,RO: $i,ID: $i,IC1: $i] :
( ! [IC2: $i,NC: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
| ~ ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
| ~ ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ NC ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ NC ) @ ( rdnn @ n0 ) @ O2 @ RO ) )
| ~ ( rdn_non_zero @ O2 )
| ~ ( rdn_non_zero @ RO )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdn @ ( rdnn @ D2 ) @ O2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(copy,[status(thm)],[816]) ).
thf(1128,plain,
( ( ! [C: $i,D1: $i,O1: $i,D2: $i,O2: $i,RD: $i,RO: $i,ID: $i,IC1: $i] :
( ! [IC2: $i,RC: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ IC1 ) )
| ~ ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ IC2 ) )
| ~ ( rdn_digit_add @ ( rdnn @ IC1 ) @ ( rdnn @ IC2 ) @ ( rdnn @ RC ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ RC ) @ O1 @ O2 @ RO ) )
| ~ ( rdn_non_zero @ O1 )
| ~ ( rdn_non_zero @ O2 )
| ~ ( rdn_non_zero @ RO )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdn @ ( rdnn @ D2 ) @ O2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(copy,[status(thm)],[815]) ).
thf(1129,plain,
( ( ! [C: $i,D1: $i,O1: $i,D2: $i,RD: $i,RO: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) )
| ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ D1 ) @ O1 ) @ ( rdnn @ D2 ) @ ( rdn @ ( rdnn @ RD ) @ RO ) ) ) )
= $true ),
inference(copy,[status(thm)],[814]) ).
thf(1130,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(1131,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(1132,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(1133,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(1134,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(1135,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[505]) ).
thf(1136,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[504]) ).
thf(1137,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[503]) ).
thf(1138,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(1139,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(1140,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(1141,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(1142,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(1143,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(1144,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(1145,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(1146,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(1147,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(1148,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(1149,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(1150,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(1151,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(1152,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(1153,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(1154,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(1155,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(1156,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(1157,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(1158,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(1159,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(1160,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(1161,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(1162,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(1163,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(1164,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(1165,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(1166,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(1167,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(1168,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(1169,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(1170,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(1171,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(1172,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(1173,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(1174,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(1175,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(1176,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(1177,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(1178,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(1179,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(1180,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(1181,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(1182,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(1183,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(1184,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(1185,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(1186,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(1187,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(1188,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(1189,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(1190,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(1191,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(1192,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(1193,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(1194,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(1195,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(1196,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(1197,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(1198,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(1199,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(1200,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(1201,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(1202,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(1203,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(1204,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(1205,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(1206,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(1207,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(1208,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(1209,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(1210,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(1211,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(1212,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(1213,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(1214,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(1215,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(1216,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(1217,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(1218,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(1219,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(1220,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(1221,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(1222,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(1223,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(1224,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(1225,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(1226,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(1227,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(1228,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(1229,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(1230,plain,
( ( ! [X: $i,Y: $i] :
( ( less @ Y @ X )
| ( Y = X )
| ( less @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ~ ( less @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( Y != X ) ) )
= $true ),
inference(copy,[status(thm)],[813]) ).
thf(1231,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( less_or_equal @ X @ Y )
| ( X = Y )
| ( less @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ( X != Y )
| ( less_or_equal @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( less @ X @ Y )
| ( less_or_equal @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[812]) ).
thf(1232,plain,
( ( ! [X: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( sum @ X @ Y @ Z1 )
| ~ ( sum @ X @ Y @ Z2 )
| ( Z1 = Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[811]) ).
thf(1233,plain,
( ( ! [X1: $i,X2: $i] :
( ! [Y: $i,Z: $i] :
( ~ ( sum @ X1 @ Y @ Z )
| ~ ( sum @ X2 @ Y @ Z ) )
| ( X1 = X2 ) ) )
= $true ),
inference(copy,[status(thm)],[810]) ).
thf(1234,plain,
( ( ! [X: $i,Y1: $i,Y2: $i] :
( ! [Z: $i] :
( ~ ( sum @ X @ Y1 @ Z )
| ~ ( sum @ X @ Y2 @ Z ) )
| ( Y1 = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[809]) ).
thf(1235,plain,
( ( ! [X: $i] :
( ! [Y: $i,Z: $i] :
( ~ ( difference @ X @ Y @ Z )
| ( sum @ Y @ Z @ X ) )
& ! [Y: $i,Z: $i] :
( ~ ( sum @ Y @ Z @ X )
| ( difference @ X @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[808]) ).
thf(1236,plain,
( ( n31 = n21 )
= $true ),
inference(copy,[status(thm)],[807]) ).
thf(1237,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( difference @ SX0 @ SX1 @ SX2 )
| ( sum @ SX1 @ SX2 @ SX0 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( sum @ SX1 @ SX2 @ SX0 )
| ( difference @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1235]) ).
thf(1238,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1231]) ).
thf(1239,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( less @ SX1 @ SX0 )
| ( SX1 = SX0 )
| ( less @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1230]) ).
thf(1240,plain,
! [SV1: $i] :
( ( ! [SY121: $i,SY122: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SY121 ) )
| ~ ( rdn_positive_less @ ( rdnn @ SY121 ) @ ( rdnn @ SY122 ) )
| ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SY122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1241,plain,
! [SV2: $i] :
( ( ! [SY123: $i,SY124: $i,SY125: $i] :
( ~ ( rdn_positive_less @ SY123 @ SY125 )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SY123 ) @ ( rdn @ ( rdnn @ SY124 ) @ SY125 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1110]) ).
thf(1242,plain,
! [SV3: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ~ ( rdn_non_zero @ SY126 )
| ~ ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SY127 ) )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SY126 ) @ ( rdn @ ( rdnn @ SY127 ) @ SY126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1111]) ).
thf(1243,plain,
! [SV4: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ~ ( rdn_non_zero @ SY129 )
| ( rdn_positive_less @ ( rdnn @ SV4 ) @ ( rdn @ ( rdnn @ SY128 ) @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1244,plain,
! [SV5: $i] :
( ( ~ ( rdn_non_zero_digit @ ( rdnn @ SV5 ) )
| ( rdn_non_zero @ ( rdnn @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1245,plain,
! [SV6: $i] :
( ( ! [SY130: $i] :
( ~ ( rdn_non_zero @ SY130 )
| ( rdn_non_zero @ ( rdn @ ( rdnn @ SV6 ) @ SY130 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1246,plain,
! [SV7: $i] :
( ( ! [SY131: $i] :
( ! [SY132: $i,SY133: $i] :
( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SY132 ) )
| ~ ( rdn_translate @ SY131 @ ( rdn_pos @ SY133 ) )
| ~ ( rdn_positive_less @ SY132 @ SY133 ) )
| ( less @ SV7 @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1115]) ).
thf(1247,plain,
! [SV8: $i] :
( ( ! [SY134: $i] :
( ! [SY135: $i] :
~ ( rdn_translate @ SV8 @ ( rdn_neg @ SY135 ) )
| ! [RDN_Y: $i] :
~ ( rdn_translate @ SY134 @ ( rdn_pos @ RDN_Y ) )
| ( less @ SV8 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1116]) ).
thf(1248,plain,
! [SV9: $i] :
( ( ! [SY137: $i] :
( ! [SY138: $i,SY139: $i] :
( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SY138 ) )
| ~ ( rdn_translate @ SY137 @ ( rdn_neg @ SY139 ) )
| ~ ( rdn_positive_less @ SY139 @ SY138 ) )
| ( less @ SV9 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1117]) ).
thf(1249,plain,
! [SV10: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ~ ( less @ SY141 @ SY140 )
| ~ ( sum @ SV10 @ n1 @ SY140 )
| ( less_or_equal @ SY141 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1250,plain,
! [SV11: $i] :
( ( ! [SY142: $i,SY143: $i,SY144: $i] :
( ! [SY145: $i,SY146: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SY144 ) )
| ~ ( rdn_translate @ SY142 @ ( rdn_pos @ SY145 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY144 @ SY145 @ SY146 )
| ~ ( rdn_translate @ SY143 @ ( rdn_pos @ SY146 ) ) )
| ( sum @ SV11 @ SY142 @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1119]) ).
thf(1251,plain,
! [SV12: $i] :
( ( ! [SY147: $i,SY148: $i,SY149: $i] :
( ! [SY150: $i,SY151: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SY149 ) )
| ~ ( rdn_translate @ SY147 @ ( rdn_neg @ SY150 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY149 @ SY150 @ SY151 )
| ~ ( rdn_translate @ SY148 @ ( rdn_neg @ SY151 ) ) )
| ( sum @ SV12 @ SY147 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1252,plain,
! [SV13: $i] :
( ( ! [SY152: $i,SY153: $i,SY154: $i] :
( ! [SY155: $i,SY156: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SY154 ) )
| ~ ( rdn_translate @ SY152 @ ( rdn_neg @ SY155 ) )
| ~ ( rdn_positive_less @ SY154 @ SY155 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY154 @ SY156 @ SY155 )
| ~ ( rdn_translate @ SY153 @ ( rdn_neg @ SY156 ) ) )
| ( sum @ SV13 @ SY152 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1253,plain,
! [SV14: $i] :
( ( ! [SY157: $i,SY158: $i,SY159: $i] :
( ! [SY160: $i,SY161: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SY159 ) )
| ~ ( rdn_translate @ SY157 @ ( rdn_neg @ SY160 ) )
| ~ ( rdn_positive_less @ SY160 @ SY159 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY160 @ SY161 @ SY159 )
| ~ ( rdn_translate @ SY158 @ ( rdn_pos @ SY161 ) ) )
| ( sum @ SV14 @ SY157 @ SY158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1254,plain,
! [SV15: $i] :
( ( ! [SY162: $i] :
( ! [SY163: $i] :
( ~ ( rdn_translate @ SV15 @ ( rdn_pos @ SY163 ) )
| ~ ( rdn_translate @ SY162 @ ( rdn_neg @ SY163 ) ) )
| ( sum @ SV15 @ SY162 @ n0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1255,plain,
! [SV16: $i] :
( ( ! [SY164: $i,SY165: $i] :
( ! [SY166: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY166 ) )
| ! [RDN_Y: $i] :
~ ( rdn_translate @ SY164 @ ( rdn_pos @ RDN_Y ) )
| ~ ( sum @ SY164 @ SV16 @ SY165 )
| ( sum @ SV16 @ SY164 @ SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1256,plain,
! [SV17: $i] :
( ( ! [SY168: $i,SY169: $i,SY170: $i] :
( ! [SY171: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SY168 ) @ ( rdnn @ SY169 ) @ ( rdnn @ SY171 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY171 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SY170 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SY168 ) @ ( rdnn @ SY169 ) @ ( rdnn @ SY170 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1257,plain,
! [SV18: $i] :
( ( ! [SY172: $i,SY173: $i,SY174: $i,SY175: $i] :
( ! [SY176: $i,SY177: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SY172 ) @ ( rdnn @ SY173 ) @ ( rdnn @ SY174 ) @ ( rdnn @ SY176 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY174 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SY175 ) @ ( rdnn @ SY177 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY176 ) @ ( rdnn @ SY177 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SY172 ) @ ( rdnn @ SY173 ) @ ( rdn @ ( rdnn @ SY175 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1126]) ).
thf(1258,plain,
! [SV19: $i] :
( ( ! [SY178: $i,SY179: $i,SY180: $i,SY181: $i,SY182: $i,SY183: $i,SY184: $i] :
( ! [SY185: $i,SY186: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SY178 ) @ ( rdnn @ SY179 ) @ ( rdnn @ SY183 ) @ ( rdnn @ SY184 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY183 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SY181 ) @ ( rdnn @ SY185 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY184 ) @ ( rdnn @ SY185 ) @ ( rdnn @ SY186 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY186 ) @ ( rdnn @ n0 ) @ SY180 @ SY182 ) )
| ~ ( rdn_non_zero @ SY180 )
| ~ ( rdn_non_zero @ SY182 )
| ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SY178 ) @ ( rdn @ ( rdnn @ SY179 ) @ SY180 ) @ ( rdn @ ( rdnn @ SY181 ) @ SY182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1259,plain,
! [SV20: $i] :
( ( ! [SY187: $i,SY188: $i,SY189: $i,SY190: $i,SY191: $i,SY192: $i,SY193: $i,SY194: $i] :
( ! [SY195: $i,SY196: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SY187 ) @ ( rdnn @ SY189 ) @ ( rdnn @ SY193 ) @ ( rdnn @ SY194 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY193 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SY191 ) @ ( rdnn @ SY195 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY194 ) @ ( rdnn @ SY195 ) @ ( rdnn @ SY196 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY196 ) @ SY188 @ SY190 @ SY192 ) )
| ~ ( rdn_non_zero @ SY188 )
| ~ ( rdn_non_zero @ SY190 )
| ~ ( rdn_non_zero @ SY192 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SY187 ) @ SY188 ) @ ( rdn @ ( rdnn @ SY189 ) @ SY190 ) @ ( rdn @ ( rdnn @ SY191 ) @ SY192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1128]) ).
thf(1260,plain,
! [SV21: $i] :
( ( ! [SY197: $i,SY198: $i,SY199: $i,SY200: $i,SY201: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SY199 ) @ ( rdn @ ( rdnn @ SY197 ) @ SY198 ) @ ( rdn @ ( rdnn @ SY200 ) @ SY201 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdn @ ( rdnn @ SY197 ) @ SY198 ) @ ( rdnn @ SY199 ) @ ( rdn @ ( rdnn @ SY200 ) @ SY201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1261,plain,
! [SV22: $i] :
( ( ! [SY202: $i,SY203: $i,SY204: $i] :
( ~ ( sum @ SV22 @ SY202 @ SY203 )
| ~ ( sum @ SV22 @ SY202 @ SY204 )
| ( SY203 = SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1232]) ).
thf(1262,plain,
! [SV23: $i] :
( ( ! [SY205: $i] :
( ! [SY206: $i,SY207: $i] :
( ~ ( sum @ SV23 @ SY206 @ SY207 )
| ~ ( sum @ SY205 @ SY206 @ SY207 ) )
| ( SV23 = SY205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1233]) ).
thf(1263,plain,
! [SV24: $i] :
( ( ! [SY208: $i,SY209: $i] :
( ! [SY210: $i] :
( ~ ( sum @ SV24 @ SY208 @ SY210 )
| ~ ( sum @ SV24 @ SY209 @ SY210 ) )
| ( SY208 = SY209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1264,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY211: $i,SY212: $i] :
( ~ ( difference @ SV25 @ SY211 @ SY212 )
| ( sum @ SY211 @ SY212 @ SV25 ) )
| ~ ! [SY213: $i,SY214: $i] :
( ~ ( sum @ SY213 @ SY214 @ SV25 )
| ( difference @ SV25 @ SY213 @ SY214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1265,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1266,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( less @ SX1 @ SX0 )
| ( SX1 = SX0 )
| ( less @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1267,plain,
! [SV26: $i,SV1: $i] :
( ( ! [SY215: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV26 ) )
| ~ ( rdn_positive_less @ ( rdnn @ SV26 ) @ ( rdnn @ SY215 ) )
| ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SY215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1268,plain,
! [SV2: $i,SV27: $i] :
( ( ! [SY216: $i,SY217: $i] :
( ~ ( rdn_positive_less @ SV27 @ SY217 )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SV27 ) @ ( rdn @ ( rdnn @ SY216 ) @ SY217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1269,plain,
! [SV3: $i,SV28: $i] :
( ( ! [SY218: $i] :
( ~ ( rdn_non_zero @ SV28 )
| ~ ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SY218 ) )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SV28 ) @ ( rdn @ ( rdnn @ SY218 ) @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1270,plain,
! [SV29: $i,SV4: $i] :
( ( ! [SY219: $i] :
( ~ ( rdn_non_zero @ SY219 )
| ( rdn_positive_less @ ( rdnn @ SV4 ) @ ( rdn @ ( rdnn @ SV29 ) @ SY219 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1271,plain,
! [SV5: $i] :
( ( ( ~ ( rdn_non_zero_digit @ ( rdnn @ SV5 ) ) )
= $true )
| ( ( rdn_non_zero @ ( rdnn @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1244]) ).
thf(1272,plain,
! [SV6: $i,SV30: $i] :
( ( ~ ( rdn_non_zero @ SV30 )
| ( rdn_non_zero @ ( rdn @ ( rdnn @ SV6 ) @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1273,plain,
! [SV31: $i,SV7: $i] :
( ( ! [SY220: $i,SY221: $i] :
( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SY220 ) )
| ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SY221 ) )
| ~ ( rdn_positive_less @ SY220 @ SY221 ) )
| ( less @ SV7 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1274,plain,
! [SV32: $i,SV8: $i] :
( ( ! [SY135: $i] :
~ ( rdn_translate @ SV8 @ ( rdn_neg @ SY135 ) )
| ! [SY223: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY223 ) )
| ( less @ SV8 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1275,plain,
! [SV33: $i,SV9: $i] :
( ( ! [SY224: $i,SY225: $i] :
( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SY224 ) )
| ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SY225 ) )
| ~ ( rdn_positive_less @ SY225 @ SY224 ) )
| ( less @ SV9 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1276,plain,
! [SV10: $i,SV34: $i] :
( ( ! [SY226: $i] :
( ~ ( less @ SY226 @ SV34 )
| ~ ( sum @ SV10 @ n1 @ SV34 )
| ( less_or_equal @ SY226 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1277,plain,
! [SV35: $i,SV11: $i] :
( ( ! [SY227: $i,SY228: $i] :
( ! [SY229: $i,SY230: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SY228 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SY229 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY228 @ SY229 @ SY230 )
| ~ ( rdn_translate @ SY227 @ ( rdn_pos @ SY230 ) ) )
| ( sum @ SV11 @ SV35 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1278,plain,
! [SV36: $i,SV12: $i] :
( ( ! [SY231: $i,SY232: $i] :
( ! [SY233: $i,SY234: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SY232 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SY233 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY232 @ SY233 @ SY234 )
| ~ ( rdn_translate @ SY231 @ ( rdn_neg @ SY234 ) ) )
| ( sum @ SV12 @ SV36 @ SY231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1279,plain,
! [SV37: $i,SV13: $i] :
( ( ! [SY235: $i,SY236: $i] :
( ! [SY237: $i,SY238: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SY236 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SY237 ) )
| ~ ( rdn_positive_less @ SY236 @ SY237 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY236 @ SY238 @ SY237 )
| ~ ( rdn_translate @ SY235 @ ( rdn_neg @ SY238 ) ) )
| ( sum @ SV13 @ SV37 @ SY235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1280,plain,
! [SV38: $i,SV14: $i] :
( ( ! [SY239: $i,SY240: $i] :
( ! [SY241: $i,SY242: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SY240 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SY241 ) )
| ~ ( rdn_positive_less @ SY241 @ SY240 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY241 @ SY242 @ SY240 )
| ~ ( rdn_translate @ SY239 @ ( rdn_pos @ SY242 ) ) )
| ( sum @ SV14 @ SV38 @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1281,plain,
! [SV39: $i,SV15: $i] :
( ( ! [SY243: $i] :
( ~ ( rdn_translate @ SV15 @ ( rdn_pos @ SY243 ) )
| ~ ( rdn_translate @ SV39 @ ( rdn_neg @ SY243 ) ) )
| ( sum @ SV15 @ SV39 @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1282,plain,
! [SV40: $i,SV16: $i] :
( ( ! [SY244: $i] :
( ! [SY166: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY166 ) )
| ! [SY246: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY246 ) )
| ~ ( sum @ SV40 @ SV16 @ SY244 )
| ( sum @ SV16 @ SV40 @ SY244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1283,plain,
! [SV17: $i,SV41: $i] :
( ( ! [SY247: $i,SY248: $i] :
( ! [SY249: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV41 ) @ ( rdnn @ SY247 ) @ ( rdnn @ SY249 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY249 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SY248 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SV41 ) @ ( rdnn @ SY247 ) @ ( rdnn @ SY248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1284,plain,
! [SV18: $i,SV42: $i] :
( ( ! [SY250: $i,SY251: $i,SY252: $i] :
( ! [SY253: $i,SY254: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SY250 ) @ ( rdnn @ SY251 ) @ ( rdnn @ SY253 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY251 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SY252 ) @ ( rdnn @ SY254 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY253 ) @ ( rdnn @ SY254 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SY250 ) @ ( rdn @ ( rdnn @ SY252 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1285,plain,
! [SV19: $i,SV43: $i] :
( ( ! [SY255: $i,SY256: $i,SY257: $i,SY258: $i,SY259: $i,SY260: $i] :
( ! [SY261: $i,SY262: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SY255 ) @ ( rdnn @ SY259 ) @ ( rdnn @ SY260 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY259 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SY257 ) @ ( rdnn @ SY261 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY260 ) @ ( rdnn @ SY261 ) @ ( rdnn @ SY262 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY262 ) @ ( rdnn @ n0 ) @ SY256 @ SY258 ) )
| ~ ( rdn_non_zero @ SY256 )
| ~ ( rdn_non_zero @ SY258 )
| ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SY255 ) @ SY256 ) @ ( rdn @ ( rdnn @ SY257 ) @ SY258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1286,plain,
! [SV20: $i,SV44: $i] :
( ( ! [SY263: $i,SY264: $i,SY265: $i,SY266: $i,SY267: $i,SY268: $i,SY269: $i] :
( ! [SY270: $i,SY271: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SY264 ) @ ( rdnn @ SY268 ) @ ( rdnn @ SY269 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY268 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SY266 ) @ ( rdnn @ SY270 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY269 ) @ ( rdnn @ SY270 ) @ ( rdnn @ SY271 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY271 ) @ SY263 @ SY265 @ SY267 ) )
| ~ ( rdn_non_zero @ SY263 )
| ~ ( rdn_non_zero @ SY265 )
| ~ ( rdn_non_zero @ SY267 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SY263 ) @ ( rdn @ ( rdnn @ SY264 ) @ SY265 ) @ ( rdn @ ( rdnn @ SY266 ) @ SY267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1287,plain,
! [SV45: $i,SV21: $i] :
( ( ! [SY272: $i,SY273: $i,SY274: $i,SY275: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SY273 ) @ ( rdn @ ( rdnn @ SV45 ) @ SY272 ) @ ( rdn @ ( rdnn @ SY274 ) @ SY275 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdn @ ( rdnn @ SV45 ) @ SY272 ) @ ( rdnn @ SY273 ) @ ( rdn @ ( rdnn @ SY274 ) @ SY275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1288,plain,
! [SV46: $i,SV22: $i] :
( ( ! [SY276: $i,SY277: $i] :
( ~ ( sum @ SV22 @ SV46 @ SY276 )
| ~ ( sum @ SV22 @ SV46 @ SY277 )
| ( SY276 = SY277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1289,plain,
! [SV47: $i,SV23: $i] :
( ( ! [SY278: $i,SY279: $i] :
( ~ ( sum @ SV23 @ SY278 @ SY279 )
| ~ ( sum @ SV47 @ SY278 @ SY279 ) )
| ( SV23 = SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1290,plain,
! [SV48: $i,SV24: $i] :
( ( ! [SY280: $i] :
( ! [SY281: $i] :
( ~ ( sum @ SV24 @ SV48 @ SY281 )
| ~ ( sum @ SV24 @ SY280 @ SY281 ) )
| ( SV48 = SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1291,plain,
! [SV25: $i] :
( ( ~ ! [SY211: $i,SY212: $i] :
( ~ ( difference @ SV25 @ SY211 @ SY212 )
| ( sum @ SY211 @ SY212 @ SV25 ) )
| ~ ! [SY213: $i,SY214: $i] :
( ~ ( sum @ SY213 @ SY214 @ SV25 )
| ( difference @ SV25 @ SY213 @ SY214 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1292,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1293,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1294,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( less @ SX1 @ SX0 )
| ( SX1 = SX0 )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1295,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1266]) ).
thf(1296,plain,
! [SV49: $i,SV26: $i,SV1: $i] :
( ( ~ ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV26 ) )
| ~ ( rdn_positive_less @ ( rdnn @ SV26 ) @ ( rdnn @ SV49 ) )
| ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1297,plain,
! [SV50: $i,SV2: $i,SV27: $i] :
( ( ! [SY282: $i] :
( ~ ( rdn_positive_less @ SV27 @ SY282 )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SV27 ) @ ( rdn @ ( rdnn @ SV50 ) @ SY282 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1298,plain,
! [SV51: $i,SV3: $i,SV28: $i] :
( ( ~ ( rdn_non_zero @ SV28 )
| ~ ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SV51 ) )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SV28 ) @ ( rdn @ ( rdnn @ SV51 ) @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1299,plain,
! [SV29: $i,SV4: $i,SV52: $i] :
( ( ~ ( rdn_non_zero @ SV52 )
| ( rdn_positive_less @ ( rdnn @ SV4 ) @ ( rdn @ ( rdnn @ SV29 ) @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1300,plain,
! [SV5: $i] :
( ( ( rdn_non_zero_digit @ ( rdnn @ SV5 ) )
= $false )
| ( ( rdn_non_zero @ ( rdnn @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1301,plain,
! [SV6: $i,SV30: $i] :
( ( ( ~ ( rdn_non_zero @ SV30 ) )
= $true )
| ( ( rdn_non_zero @ ( rdn @ ( rdnn @ SV6 ) @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1272]) ).
thf(1302,plain,
! [SV31: $i,SV7: $i] :
( ( ( ! [SY220: $i,SY221: $i] :
( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SY220 ) )
| ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SY221 ) )
| ~ ( rdn_positive_less @ SY220 @ SY221 ) ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1273]) ).
thf(1303,plain,
! [SV32: $i,SV8: $i] :
( ( ( ! [SY135: $i] :
~ ( rdn_translate @ SV8 @ ( rdn_neg @ SY135 ) )
| ! [SY223: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY223 ) ) )
= $true )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1274]) ).
thf(1304,plain,
! [SV33: $i,SV9: $i] :
( ( ( ! [SY224: $i,SY225: $i] :
( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SY224 ) )
| ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SY225 ) )
| ~ ( rdn_positive_less @ SY225 @ SY224 ) ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1305,plain,
! [SV10: $i,SV34: $i,SV53: $i] :
( ( ~ ( less @ SV53 @ SV34 )
| ~ ( sum @ SV10 @ n1 @ SV34 )
| ( less_or_equal @ SV53 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1306,plain,
! [SV54: $i,SV35: $i,SV11: $i] :
( ( ! [SY283: $i] :
( ! [SY284: $i,SY285: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SY283 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SY284 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY283 @ SY284 @ SY285 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SY285 ) ) )
| ( sum @ SV11 @ SV35 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1307,plain,
! [SV55: $i,SV36: $i,SV12: $i] :
( ( ! [SY286: $i] :
( ! [SY287: $i,SY288: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SY286 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SY287 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY286 @ SY287 @ SY288 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SY288 ) ) )
| ( sum @ SV12 @ SV36 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1308,plain,
! [SV56: $i,SV37: $i,SV13: $i] :
( ( ! [SY289: $i] :
( ! [SY290: $i,SY291: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SY289 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SY290 ) )
| ~ ( rdn_positive_less @ SY289 @ SY290 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY289 @ SY291 @ SY290 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SY291 ) ) )
| ( sum @ SV13 @ SV37 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1309,plain,
! [SV57: $i,SV38: $i,SV14: $i] :
( ( ! [SY292: $i] :
( ! [SY293: $i,SY294: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SY292 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SY293 ) )
| ~ ( rdn_positive_less @ SY293 @ SY292 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY293 @ SY294 @ SY292 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SY294 ) ) )
| ( sum @ SV14 @ SV38 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1310,plain,
! [SV39: $i,SV15: $i] :
( ( ( ! [SY243: $i] :
( ~ ( rdn_translate @ SV15 @ ( rdn_pos @ SY243 ) )
| ~ ( rdn_translate @ SV39 @ ( rdn_neg @ SY243 ) ) ) )
= $true )
| ( ( sum @ SV15 @ SV39 @ n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1311,plain,
! [SV58: $i,SV40: $i,SV16: $i] :
( ( ! [SY166: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY166 ) )
| ! [SY246: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY246 ) )
| ~ ( sum @ SV40 @ SV16 @ SV58 )
| ( sum @ SV16 @ SV40 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1312,plain,
! [SV17: $i,SV59: $i,SV41: $i] :
( ( ! [SY297: $i] :
( ! [SY298: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SY298 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY298 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SY297 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SY297 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1313,plain,
! [SV18: $i,SV60: $i,SV42: $i] :
( ( ! [SY299: $i,SY300: $i] :
( ! [SY301: $i,SY302: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SY299 ) @ ( rdnn @ SY301 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY299 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SY300 ) @ ( rdnn @ SY302 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY301 ) @ ( rdnn @ SY302 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SY300 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1314,plain,
! [SV19: $i,SV61: $i,SV43: $i] :
( ( ! [SY303: $i,SY304: $i,SY305: $i,SY306: $i,SY307: $i] :
( ! [SY308: $i,SY309: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SY306 ) @ ( rdnn @ SY307 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY306 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SY304 ) @ ( rdnn @ SY308 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY307 ) @ ( rdnn @ SY308 ) @ ( rdnn @ SY309 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY309 ) @ ( rdnn @ n0 ) @ SY303 @ SY305 ) )
| ~ ( rdn_non_zero @ SY303 )
| ~ ( rdn_non_zero @ SY305 )
| ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SY303 ) @ ( rdn @ ( rdnn @ SY304 ) @ SY305 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1315,plain,
! [SV62: $i,SV20: $i,SV44: $i] :
( ( ! [SY310: $i,SY311: $i,SY312: $i,SY313: $i,SY314: $i,SY315: $i] :
( ! [SY316: $i,SY317: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SY310 ) @ ( rdnn @ SY314 ) @ ( rdnn @ SY315 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY314 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SY312 ) @ ( rdnn @ SY316 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY315 ) @ ( rdnn @ SY316 ) @ ( rdnn @ SY317 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY317 ) @ SV62 @ SY311 @ SY313 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SY311 )
| ~ ( rdn_non_zero @ SY313 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SY310 ) @ SY311 ) @ ( rdn @ ( rdnn @ SY312 ) @ SY313 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1316,plain,
! [SV63: $i,SV45: $i,SV21: $i] :
( ( ! [SY318: $i,SY319: $i,SY320: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SY318 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdn @ ( rdnn @ SY319 ) @ SY320 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdnn @ SY318 ) @ ( rdn @ ( rdnn @ SY319 ) @ SY320 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1317,plain,
! [SV64: $i,SV46: $i,SV22: $i] :
( ( ! [SY321: $i] :
( ~ ( sum @ SV22 @ SV46 @ SV64 )
| ~ ( sum @ SV22 @ SV46 @ SY321 )
| ( SV64 = SY321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1318,plain,
! [SV47: $i,SV23: $i] :
( ( ( ! [SY278: $i,SY279: $i] :
( ~ ( sum @ SV23 @ SY278 @ SY279 )
| ~ ( sum @ SV47 @ SY278 @ SY279 ) ) )
= $true )
| ( ( SV23 = SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1319,plain,
! [SV65: $i,SV48: $i,SV24: $i] :
( ( ! [SY322: $i] :
( ~ ( sum @ SV24 @ SV48 @ SY322 )
| ~ ( sum @ SV24 @ SV65 @ SY322 ) )
| ( SV48 = SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1320,plain,
! [SV25: $i] :
( ( ~ ! [SY211: $i,SY212: $i] :
( ~ ( difference @ SV25 @ SY211 @ SY212 )
| ( sum @ SY211 @ SY212 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1321,plain,
! [SV25: $i] :
( ( ~ ! [SY213: $i,SY214: $i] :
( ~ ( sum @ SY213 @ SY214 @ SV25 )
| ( difference @ SV25 @ SY213 @ SY214 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1322,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1292]) ).
thf(1323,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1324,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( less @ SX1 @ SX0 )
| ( SX1 = SX0 )
| ( less @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1325,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1326,plain,
! [SV49: $i,SV26: $i,SV1: $i] :
( ( ( ~ ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV26 ) )
| ~ ( rdn_positive_less @ ( rdnn @ SV26 ) @ ( rdnn @ SV49 ) ) )
= $true )
| ( ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1296]) ).
thf(1327,plain,
! [SV50: $i,SV2: $i,SV66: $i,SV27: $i] :
( ( ~ ( rdn_positive_less @ SV27 @ SV66 )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SV27 ) @ ( rdn @ ( rdnn @ SV50 ) @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1328,plain,
! [SV51: $i,SV3: $i,SV28: $i] :
( ( ( ~ ( rdn_non_zero @ SV28 )
| ~ ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SV51 ) ) )
= $true )
| ( ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SV28 ) @ ( rdn @ ( rdnn @ SV51 ) @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1298]) ).
thf(1329,plain,
! [SV29: $i,SV4: $i,SV52: $i] :
( ( ( ~ ( rdn_non_zero @ SV52 ) )
= $true )
| ( ( rdn_positive_less @ ( rdnn @ SV4 ) @ ( rdn @ ( rdnn @ SV29 ) @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1299]) ).
thf(1330,plain,
! [SV6: $i,SV30: $i] :
( ( ( rdn_non_zero @ SV30 )
= $false )
| ( ( rdn_non_zero @ ( rdn @ ( rdnn @ SV6 ) @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1301]) ).
thf(1331,plain,
! [SV31: $i,SV67: $i,SV7: $i] :
( ( ( ! [SY323: $i] :
( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SV67 ) )
| ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SY323 ) )
| ~ ( rdn_positive_less @ SV67 @ SY323 ) ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1332,plain,
! [SV32: $i,SV8: $i] :
( ( ( ! [SY135: $i] :
~ ( rdn_translate @ SV8 @ ( rdn_neg @ SY135 ) ) )
= $true )
| ( ( ! [SY223: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY223 ) ) )
= $true )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1303]) ).
thf(1333,plain,
! [SV33: $i,SV68: $i,SV9: $i] :
( ( ( ! [SY324: $i] :
( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SV68 ) )
| ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SY324 ) )
| ~ ( rdn_positive_less @ SY324 @ SV68 ) ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1334,plain,
! [SV10: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( less @ SV53 @ SV34 )
| ~ ( sum @ SV10 @ n1 @ SV34 ) )
= $true )
| ( ( less_or_equal @ SV53 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1305]) ).
thf(1335,plain,
! [SV54: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ! [SY325: $i,SY326: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SY325 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SY325 @ SY326 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SY326 ) ) )
| ( sum @ SV11 @ SV35 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1336,plain,
! [SV55: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ! [SY327: $i,SY328: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SY327 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SY327 @ SY328 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SY328 ) ) )
| ( sum @ SV12 @ SV36 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1337,plain,
! [SV56: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ! [SY329: $i,SY330: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SY329 ) )
| ~ ( rdn_positive_less @ SV71 @ SY329 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SY330 @ SY329 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SY330 ) ) )
| ( sum @ SV13 @ SV37 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1308]) ).
thf(1338,plain,
! [SV57: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ! [SY331: $i,SY332: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SY331 ) )
| ~ ( rdn_positive_less @ SY331 @ SV72 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY331 @ SY332 @ SV72 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SY332 ) ) )
| ( sum @ SV14 @ SV38 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1339,plain,
! [SV39: $i,SV73: $i,SV15: $i] :
( ( ( ~ ( rdn_translate @ SV15 @ ( rdn_pos @ SV73 ) )
| ~ ( rdn_translate @ SV39 @ ( rdn_neg @ SV73 ) ) )
= $true )
| ( ( sum @ SV15 @ SV39 @ n0 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1340,plain,
! [SV58: $i,SV40: $i,SV16: $i] :
( ( ( ! [SY166: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY166 ) )
| ! [SY246: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY246 ) )
| ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1311]) ).
thf(1341,plain,
! [SV74: $i,SV17: $i,SV59: $i,SV41: $i] :
( ( ! [SY333: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SY333 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY333 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SV74 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1342,plain,
! [SV18: $i,SV75: $i,SV60: $i,SV42: $i] :
( ( ! [SY334: $i] :
( ! [SY335: $i,SY336: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SY335 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SY334 ) @ ( rdnn @ SY336 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY335 ) @ ( rdnn @ SY336 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SY334 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1313]) ).
thf(1343,plain,
! [SV76: $i,SV19: $i,SV61: $i,SV43: $i] :
( ( ! [SY337: $i,SY338: $i,SY339: $i,SY340: $i] :
( ! [SY341: $i,SY342: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SY339 ) @ ( rdnn @ SY340 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY339 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SY337 ) @ ( rdnn @ SY341 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY340 ) @ ( rdnn @ SY341 ) @ ( rdnn @ SY342 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY342 ) @ ( rdnn @ n0 ) @ SV76 @ SY338 ) )
| ~ ( rdn_non_zero @ SV76 )
| ~ ( rdn_non_zero @ SY338 )
| ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SY337 ) @ SY338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1344,plain,
! [SV62: $i,SV20: $i,SV77: $i,SV44: $i] :
( ( ! [SY343: $i,SY344: $i,SY345: $i,SY346: $i,SY347: $i] :
( ! [SY348: $i,SY349: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SY346 ) @ ( rdnn @ SY347 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY346 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SY344 ) @ ( rdnn @ SY348 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY347 ) @ ( rdnn @ SY348 ) @ ( rdnn @ SY349 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY349 ) @ SV62 @ SY343 @ SY345 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SY343 )
| ~ ( rdn_non_zero @ SY345 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SY343 ) @ ( rdn @ ( rdnn @ SY344 ) @ SY345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1345,plain,
! [SV63: $i,SV45: $i,SV78: $i,SV21: $i] :
( ( ! [SY350: $i,SY351: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdn @ ( rdnn @ SY350 ) @ SY351 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SY350 ) @ SY351 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1346,plain,
! [SV79: $i,SV64: $i,SV46: $i,SV22: $i] :
( ( ~ ( sum @ SV22 @ SV46 @ SV64 )
| ~ ( sum @ SV22 @ SV46 @ SV79 )
| ( SV64 = SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1347,plain,
! [SV47: $i,SV80: $i,SV23: $i] :
( ( ( ! [SY352: $i] :
( ~ ( sum @ SV23 @ SV80 @ SY352 )
| ~ ( sum @ SV47 @ SV80 @ SY352 ) ) )
= $true )
| ( ( SV23 = SV47 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1348,plain,
! [SV65: $i,SV48: $i,SV24: $i] :
( ( ( ! [SY322: $i] :
( ~ ( sum @ SV24 @ SV48 @ SY322 )
| ~ ( sum @ SV24 @ SV65 @ SY322 ) ) )
= $true )
| ( ( SV48 = SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1319]) ).
thf(1349,plain,
! [SV25: $i] :
( ( ! [SY211: $i,SY212: $i] :
( ~ ( difference @ SV25 @ SY211 @ SY212 )
| ( sum @ SY211 @ SY212 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1320]) ).
thf(1350,plain,
! [SV25: $i] :
( ( ! [SY213: $i,SY214: $i] :
( ~ ( sum @ SY213 @ SY214 @ SV25 )
| ( difference @ SV25 @ SY213 @ SY214 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1321]) ).
thf(1351,plain,
! [SV81: $i] :
( ( ! [SY353: $i] :
( ~ ( less_or_equal @ SV81 @ SY353 )
| ( SV81 = SY353 )
| ( less @ SV81 @ SY353 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1352,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1323]) ).
thf(1353,plain,
! [SV82: $i] :
( ( ! [SY354: $i] :
( ( less @ SY354 @ SV82 )
| ( SY354 = SV82 )
| ( less @ SV82 @ SY354 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1354,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1355,plain,
! [SV49: $i,SV26: $i,SV1: $i] :
( ( ( ~ ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV26 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ ( rdnn @ SV26 ) @ ( rdnn @ SV49 ) ) )
= $true )
| ( ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1326]) ).
thf(1356,plain,
! [SV50: $i,SV2: $i,SV66: $i,SV27: $i] :
( ( ( ~ ( rdn_positive_less @ SV27 @ SV66 ) )
= $true )
| ( ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SV27 ) @ ( rdn @ ( rdnn @ SV50 ) @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1327]) ).
thf(1357,plain,
! [SV51: $i,SV3: $i,SV28: $i] :
( ( ( ~ ( rdn_non_zero @ SV28 ) )
= $true )
| ( ( ~ ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SV51 ) ) )
= $true )
| ( ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SV28 ) @ ( rdn @ ( rdnn @ SV51 ) @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1358,plain,
! [SV29: $i,SV4: $i,SV52: $i] :
( ( ( rdn_non_zero @ SV52 )
= $false )
| ( ( rdn_positive_less @ ( rdnn @ SV4 ) @ ( rdn @ ( rdnn @ SV29 ) @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1359,plain,
! [SV83: $i,SV31: $i,SV67: $i,SV7: $i] :
( ( ( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SV67 ) )
| ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SV83 ) )
| ~ ( rdn_positive_less @ SV67 @ SV83 ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1360,plain,
! [SV32: $i,SV84: $i,SV8: $i] :
( ( ( ~ ( rdn_translate @ SV8 @ ( rdn_neg @ SV84 ) ) )
= $true )
| ( ( ! [SY223: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY223 ) ) )
= $true )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1361,plain,
! [SV85: $i,SV33: $i,SV68: $i,SV9: $i] :
( ( ( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SV68 ) )
| ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SV85 ) )
| ~ ( rdn_positive_less @ SV85 @ SV68 ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1362,plain,
! [SV10: $i,SV34: $i,SV53: $i] :
( ( ( ~ ( less @ SV53 @ SV34 ) )
= $true )
| ( ( ~ ( sum @ SV10 @ n1 @ SV34 ) )
= $true )
| ( ( less_or_equal @ SV53 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1334]) ).
thf(1363,plain,
! [SV54: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( ! [SY325: $i,SY326: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SY325 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SY325 @ SY326 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SY326 ) ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1335]) ).
thf(1364,plain,
! [SV55: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( ! [SY327: $i,SY328: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SY327 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SY327 @ SY328 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SY328 ) ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1336]) ).
thf(1365,plain,
! [SV56: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ! [SY329: $i,SY330: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SY329 ) )
| ~ ( rdn_positive_less @ SV71 @ SY329 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SY330 @ SY329 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SY330 ) ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1337]) ).
thf(1366,plain,
! [SV57: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ! [SY331: $i,SY332: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SY331 ) )
| ~ ( rdn_positive_less @ SY331 @ SV72 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY331 @ SY332 @ SV72 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SY332 ) ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1367,plain,
! [SV39: $i,SV73: $i,SV15: $i] :
( ( ( ~ ( rdn_translate @ SV15 @ ( rdn_pos @ SV73 ) ) )
= $true )
| ( ( ~ ( rdn_translate @ SV39 @ ( rdn_neg @ SV73 ) ) )
= $true )
| ( ( sum @ SV15 @ SV39 @ n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1339]) ).
thf(1368,plain,
! [SV58: $i,SV40: $i,SV16: $i] :
( ( ( ! [SY166: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY166 ) )
| ! [SY246: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY246 ) ) )
= $true )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1369,plain,
! [SV74: $i,SV17: $i,SV59: $i,SV41: $i] :
( ( ( ! [SY333: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SY333 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY333 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SV74 ) @ ( rdnn @ n0 ) ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1341]) ).
thf(1370,plain,
! [SV86: $i,SV18: $i,SV75: $i,SV60: $i,SV42: $i] :
( ( ! [SY355: $i,SY356: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SY355 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SY356 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY355 ) @ ( rdnn @ SY356 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1371,plain,
! [SV76: $i,SV87: $i,SV19: $i,SV61: $i,SV43: $i] :
( ( ! [SY357: $i,SY358: $i,SY359: $i] :
( ! [SY360: $i,SY361: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SY358 ) @ ( rdnn @ SY359 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY358 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SY360 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY359 ) @ ( rdnn @ SY360 ) @ ( rdnn @ SY361 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY361 ) @ ( rdnn @ n0 ) @ SV76 @ SY357 ) )
| ~ ( rdn_non_zero @ SV76 )
| ~ ( rdn_non_zero @ SY357 )
| ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SY357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1372,plain,
! [SV88: $i,SV62: $i,SV20: $i,SV77: $i,SV44: $i] :
( ( ! [SY362: $i,SY363: $i,SY364: $i,SY365: $i] :
( ! [SY366: $i,SY367: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SY364 ) @ ( rdnn @ SY365 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY364 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SY362 ) @ ( rdnn @ SY366 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY365 ) @ ( rdnn @ SY366 ) @ ( rdnn @ SY367 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY367 ) @ SV62 @ SV88 @ SY363 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SV88 )
| ~ ( rdn_non_zero @ SY363 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SY362 ) @ SY363 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1373,plain,
! [SV89: $i,SV63: $i,SV45: $i,SV78: $i,SV21: $i] :
( ( ! [SY368: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdn @ ( rdnn @ SV89 ) @ SY368 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SY368 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1374,plain,
! [SV79: $i,SV64: $i,SV46: $i,SV22: $i] :
( ( ( ~ ( sum @ SV22 @ SV46 @ SV64 )
| ~ ( sum @ SV22 @ SV46 @ SV79 ) )
= $true )
| ( ( SV64 = SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1375,plain,
! [SV47: $i,SV90: $i,SV80: $i,SV23: $i] :
( ( ( ~ ( sum @ SV23 @ SV80 @ SV90 )
| ~ ( sum @ SV47 @ SV80 @ SV90 ) )
= $true )
| ( ( SV23 = SV47 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1376,plain,
! [SV65: $i,SV91: $i,SV48: $i,SV24: $i] :
( ( ( ~ ( sum @ SV24 @ SV48 @ SV91 )
| ~ ( sum @ SV24 @ SV65 @ SV91 ) )
= $true )
| ( ( SV48 = SV65 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1377,plain,
! [SV92: $i,SV25: $i] :
( ( ! [SY369: $i] :
( ~ ( difference @ SV25 @ SV92 @ SY369 )
| ( sum @ SV92 @ SY369 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1378,plain,
! [SV25: $i,SV93: $i] :
( ( ! [SY370: $i] :
( ~ ( sum @ SV93 @ SY370 @ SV25 )
| ( difference @ SV25 @ SV93 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1379,plain,
! [SV94: $i,SV81: $i] :
( ( ~ ( less_or_equal @ SV81 @ SV94 )
| ( SV81 = SV94 )
| ( less @ SV81 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1380,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1381,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1352]) ).
thf(1382,plain,
! [SV82: $i,SV95: $i] :
( ( ( less @ SV95 @ SV82 )
| ( SV95 = SV82 )
| ( less @ SV82 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1383,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1384,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1385,plain,
! [SV49: $i,SV26: $i,SV1: $i] :
( ( ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV26 ) )
= $false )
| ( ( ~ ( rdn_positive_less @ ( rdnn @ SV26 ) @ ( rdnn @ SV49 ) ) )
= $true )
| ( ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1386,plain,
! [SV50: $i,SV2: $i,SV66: $i,SV27: $i] :
( ( ( rdn_positive_less @ SV27 @ SV66 )
= $false )
| ( ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SV27 ) @ ( rdn @ ( rdnn @ SV50 ) @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1387,plain,
! [SV51: $i,SV3: $i,SV28: $i] :
( ( ( rdn_non_zero @ SV28 )
= $false )
| ( ( ~ ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SV51 ) ) )
= $true )
| ( ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SV28 ) @ ( rdn @ ( rdnn @ SV51 ) @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1388,plain,
! [SV83: $i,SV31: $i,SV67: $i,SV7: $i] :
( ( ( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SV67 ) )
| ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SV83 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV67 @ SV83 ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1359]) ).
thf(1389,plain,
! [SV32: $i,SV84: $i,SV8: $i] :
( ( ( rdn_translate @ SV8 @ ( rdn_neg @ SV84 ) )
= $false )
| ( ( ! [SY223: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY223 ) ) )
= $true )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1390,plain,
! [SV85: $i,SV33: $i,SV68: $i,SV9: $i] :
( ( ( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SV68 ) )
| ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SV85 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV85 @ SV68 ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1361]) ).
thf(1391,plain,
! [SV10: $i,SV34: $i,SV53: $i] :
( ( ( less @ SV53 @ SV34 )
= $false )
| ( ( ~ ( sum @ SV10 @ n1 @ SV34 ) )
= $true )
| ( ( less_or_equal @ SV53 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1392,plain,
! [SV54: $i,SV96: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( ! [SY371: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SY371 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SY371 ) ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1393,plain,
! [SV55: $i,SV97: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( ! [SY372: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SY372 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SY372 ) ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1394,plain,
! [SV56: $i,SV98: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ! [SY373: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) )
| ~ ( rdn_positive_less @ SV71 @ SV98 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SY373 @ SV98 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SY373 ) ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1395,plain,
! [SV57: $i,SV99: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ! [SY374: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) )
| ~ ( rdn_positive_less @ SV99 @ SV72 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SY374 @ SV72 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SY374 ) ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1396,plain,
! [SV39: $i,SV73: $i,SV15: $i] :
( ( ( rdn_translate @ SV15 @ ( rdn_pos @ SV73 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV39 @ ( rdn_neg @ SV73 ) ) )
= $true )
| ( ( sum @ SV15 @ SV39 @ n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1367]) ).
thf(1397,plain,
! [SV58: $i,SV40: $i,SV16: $i] :
( ( ( ! [SY166: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY166 ) ) )
= $true )
| ( ( ! [SY246: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY246 ) ) )
= $true )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1398,plain,
! [SV74: $i,SV17: $i,SV100: $i,SV59: $i,SV41: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV100 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV100 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SV74 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV74 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1399,plain,
! [SV86: $i,SV18: $i,SV75: $i,SV60: $i,SV42: $i] :
( ( ( ! [SY355: $i,SY356: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SY355 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SY356 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY355 ) @ ( rdnn @ SY356 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1370]) ).
thf(1400,plain,
! [SV101: $i,SV76: $i,SV87: $i,SV19: $i,SV61: $i,SV43: $i] :
( ( ! [SY375: $i,SY376: $i] :
( ! [SY377: $i,SY378: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SY375 ) @ ( rdnn @ SY376 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY375 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SY377 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY376 ) @ ( rdnn @ SY377 ) @ ( rdnn @ SY378 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY378 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
| ~ ( rdn_non_zero @ SV76 )
| ~ ( rdn_non_zero @ SV101 )
| ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1401,plain,
! [SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV77: $i,SV44: $i] :
( ( ! [SY379: $i,SY380: $i,SY381: $i] :
( ! [SY382: $i,SY383: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SY380 ) @ ( rdnn @ SY381 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY380 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY382 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY381 ) @ ( rdnn @ SY382 ) @ ( rdnn @ SY383 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY383 ) @ SV62 @ SV88 @ SY379 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SV88 )
| ~ ( rdn_non_zero @ SY379 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SY379 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1402,plain,
! [SV103: $i,SV89: $i,SV63: $i,SV45: $i,SV78: $i,SV21: $i] :
( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV103 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1403,plain,
! [SV79: $i,SV64: $i,SV46: $i,SV22: $i] :
( ( ( ~ ( sum @ SV22 @ SV46 @ SV64 ) )
= $true )
| ( ( ~ ( sum @ SV22 @ SV46 @ SV79 ) )
= $true )
| ( ( SV64 = SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1374]) ).
thf(1404,plain,
! [SV47: $i,SV90: $i,SV80: $i,SV23: $i] :
( ( ( ~ ( sum @ SV23 @ SV80 @ SV90 ) )
= $true )
| ( ( ~ ( sum @ SV47 @ SV80 @ SV90 ) )
= $true )
| ( ( SV23 = SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1405,plain,
! [SV65: $i,SV91: $i,SV48: $i,SV24: $i] :
( ( ( ~ ( sum @ SV24 @ SV48 @ SV91 ) )
= $true )
| ( ( ~ ( sum @ SV24 @ SV65 @ SV91 ) )
= $true )
| ( ( SV48 = SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1376]) ).
thf(1406,plain,
! [SV104: $i,SV92: $i,SV25: $i] :
( ( ~ ( difference @ SV25 @ SV92 @ SV104 )
| ( sum @ SV92 @ SV104 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1407,plain,
! [SV25: $i,SV105: $i,SV93: $i] :
( ( ~ ( sum @ SV93 @ SV105 @ SV25 )
| ( difference @ SV25 @ SV93 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1408,plain,
! [SV94: $i,SV81: $i] :
( ( ( ~ ( less_or_equal @ SV81 @ SV94 ) )
= $true )
| ( ( ( SV81 = SV94 )
| ( less @ SV81 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1379]) ).
thf(1409,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1410,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1411,plain,
! [SV82: $i,SV95: $i] :
( ( ( ( less @ SV95 @ SV82 )
| ( SV95 = SV82 ) )
= $true )
| ( ( less @ SV82 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1382]) ).
thf(1412,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1413,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1414,plain,
! [SV1: $i,SV49: $i,SV26: $i] :
( ( ( rdn_positive_less @ ( rdnn @ SV26 ) @ ( rdnn @ SV49 ) )
= $false )
| ( ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV26 ) )
= $false )
| ( ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1385]) ).
thf(1415,plain,
! [SV28: $i,SV51: $i,SV3: $i] :
( ( ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SV51 ) )
= $false )
| ( ( rdn_non_zero @ SV28 )
= $false )
| ( ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SV28 ) @ ( rdn @ ( rdnn @ SV51 ) @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1416,plain,
! [SV83: $i,SV31: $i,SV67: $i,SV7: $i] :
( ( ( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SV67 ) ) )
= $true )
| ( ( ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SV83 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV67 @ SV83 ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1388]) ).
thf(1417,plain,
! [SV84: $i,SV8: $i,SV106: $i,SV32: $i] :
( ( ( ~ ( rdn_translate @ SV32 @ ( rdn_pos @ SV106 ) ) )
= $true )
| ( ( rdn_translate @ SV8 @ ( rdn_neg @ SV84 ) )
= $false )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1418,plain,
! [SV85: $i,SV33: $i,SV68: $i,SV9: $i] :
( ( ( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SV68 ) ) )
= $true )
| ( ( ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SV85 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV85 @ SV68 ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1390]) ).
thf(1419,plain,
! [SV53: $i,SV34: $i,SV10: $i] :
( ( ( sum @ SV10 @ n1 @ SV34 )
= $false )
| ( ( less @ SV53 @ SV34 )
= $false )
| ( ( less_or_equal @ SV53 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1420,plain,
! [SV54: $i,SV107: $i,SV96: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SV107 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SV107 ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(1421,plain,
! [SV55: $i,SV108: $i,SV97: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SV108 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SV108 ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1422,plain,
! [SV56: $i,SV109: $i,SV98: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) )
| ~ ( rdn_positive_less @ SV71 @ SV98 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(1423,plain,
! [SV57: $i,SV110: $i,SV99: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) )
| ~ ( rdn_positive_less @ SV99 @ SV72 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1424,plain,
! [SV15: $i,SV73: $i,SV39: $i] :
( ( ( rdn_translate @ SV39 @ ( rdn_neg @ SV73 ) )
= $false )
| ( ( rdn_translate @ SV15 @ ( rdn_pos @ SV73 ) )
= $false )
| ( ( sum @ SV15 @ SV39 @ n0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1425,plain,
! [SV58: $i,SV40: $i,SV111: $i,SV16: $i] :
( ( ( ~ ( rdn_translate @ SV16 @ ( rdn_neg @ SV111 ) ) )
= $true )
| ( ( ! [SY246: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY246 ) ) )
= $true )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1426,plain,
! [SV74: $i,SV17: $i,SV100: $i,SV59: $i,SV41: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV100 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV100 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SV74 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1427,plain,
! [SV86: $i,SV18: $i,SV112: $i,SV75: $i,SV60: $i,SV42: $i] :
( ( ( ! [SY384: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SV112 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SY384 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SY384 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1428,plain,
! [SV101: $i,SV76: $i,SV87: $i,SV19: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ! [SY385: $i] :
( ! [SY386: $i,SY387: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SY385 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SY386 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY385 ) @ ( rdnn @ SY386 ) @ ( rdnn @ SY387 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY387 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
| ~ ( rdn_non_zero @ SV76 )
| ~ ( rdn_non_zero @ SV101 )
| ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(1429,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV77: $i,SV44: $i] :
( ( ! [SY388: $i,SY389: $i] :
( ! [SY390: $i,SY391: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SY388 ) @ ( rdnn @ SY389 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY388 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY390 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY389 ) @ ( rdnn @ SY390 ) @ ( rdnn @ SY391 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY391 ) @ SV62 @ SV88 @ SV114 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SV88 )
| ~ ( rdn_non_zero @ SV114 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1430,plain,
! [SV103: $i,SV89: $i,SV63: $i,SV45: $i,SV78: $i,SV21: $i] :
( ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV103 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1431,plain,
! [SV79: $i,SV64: $i,SV46: $i,SV22: $i] :
( ( ( sum @ SV22 @ SV46 @ SV64 )
= $false )
| ( ( ~ ( sum @ SV22 @ SV46 @ SV79 ) )
= $true )
| ( ( SV64 = SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1432,plain,
! [SV47: $i,SV90: $i,SV80: $i,SV23: $i] :
( ( ( sum @ SV23 @ SV80 @ SV90 )
= $false )
| ( ( ~ ( sum @ SV47 @ SV80 @ SV90 ) )
= $true )
| ( ( SV23 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1433,plain,
! [SV65: $i,SV91: $i,SV48: $i,SV24: $i] :
( ( ( sum @ SV24 @ SV48 @ SV91 )
= $false )
| ( ( ~ ( sum @ SV24 @ SV65 @ SV91 ) )
= $true )
| ( ( SV48 = SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1434,plain,
! [SV104: $i,SV92: $i,SV25: $i] :
( ( ( ~ ( difference @ SV25 @ SV92 @ SV104 ) )
= $true )
| ( ( sum @ SV92 @ SV104 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1435,plain,
! [SV25: $i,SV105: $i,SV93: $i] :
( ( ( ~ ( sum @ SV93 @ SV105 @ SV25 ) )
= $true )
| ( ( difference @ SV25 @ SV93 @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1407]) ).
thf(1436,plain,
! [SV94: $i,SV81: $i] :
( ( ( less_or_equal @ SV81 @ SV94 )
= $false )
| ( ( ( SV81 = SV94 )
| ( less @ SV81 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1437,plain,
! [SV115: $i] :
( ( ! [SY392: $i] :
( ( SV115 != SY392 )
| ( less_or_equal @ SV115 @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1438,plain,
! [SV116: $i] :
( ( ! [SY393: $i] :
( ~ ( less @ SV116 @ SY393 )
| ( less_or_equal @ SV116 @ SY393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(1439,plain,
! [SV82: $i,SV95: $i] :
( ( ( less @ SV95 @ SV82 )
= $true )
| ( ( SV95 = SV82 )
= $true )
| ( ( less @ SV82 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1411]) ).
thf(1440,plain,
! [SV117: $i] :
( ( ! [SY394: $i] :
( ~ ( less @ SV117 @ SY394 )
| ~ ( less @ SY394 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1441,plain,
! [SV118: $i] :
( ( ! [SY395: $i] :
( ~ ( less @ SV118 @ SY395 )
| ( SY395 != SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(1442,plain,
! [SV83: $i,SV31: $i,SV67: $i,SV7: $i] :
( ( ( rdn_translate @ SV7 @ ( rdn_pos @ SV67 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SV83 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV67 @ SV83 ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1443,plain,
! [SV84: $i,SV8: $i,SV106: $i,SV32: $i] :
( ( ( rdn_translate @ SV32 @ ( rdn_pos @ SV106 ) )
= $false )
| ( ( rdn_translate @ SV8 @ ( rdn_neg @ SV84 ) )
= $false )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1444,plain,
! [SV85: $i,SV33: $i,SV68: $i,SV9: $i] :
( ( ( rdn_translate @ SV9 @ ( rdn_neg @ SV68 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SV85 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV85 @ SV68 ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1445,plain,
! [SV54: $i,SV107: $i,SV96: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SV107 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SV107 ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1420]) ).
thf(1446,plain,
! [SV55: $i,SV108: $i,SV97: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SV108 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SV108 ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1421]) ).
thf(1447,plain,
! [SV56: $i,SV109: $i,SV98: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) )
| ~ ( rdn_positive_less @ SV71 @ SV98 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1448,plain,
! [SV57: $i,SV110: $i,SV99: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) )
| ~ ( rdn_positive_less @ SV99 @ SV72 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1449,plain,
! [SV58: $i,SV40: $i,SV111: $i,SV16: $i] :
( ( ( rdn_translate @ SV16 @ ( rdn_neg @ SV111 ) )
= $false )
| ( ( ! [SY246: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY246 ) ) )
= $true )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1450,plain,
! [SV74: $i,SV17: $i,SV100: $i,SV59: $i,SV41: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV100 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV100 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SV74 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1451,plain,
! [SV119: $i,SV86: $i,SV18: $i,SV112: $i,SV75: $i,SV60: $i,SV42: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SV112 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SV119 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(1452,plain,
! [SV101: $i,SV76: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ! [SY396: $i,SY397: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SY396 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SY396 ) @ ( rdnn @ SY397 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY397 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
| ~ ( rdn_non_zero @ SV76 )
| ~ ( rdn_non_zero @ SV101 )
| ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1453,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ! [SY398: $i] :
( ! [SY399: $i,SY400: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SY398 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY399 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY398 ) @ ( rdnn @ SY399 ) @ ( rdnn @ SY400 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY400 ) @ SV62 @ SV88 @ SV114 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SV88 )
| ~ ( rdn_non_zero @ SV114 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(1454,plain,
! [SV103: $i,SV89: $i,SV63: $i,SV45: $i,SV78: $i,SV21: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV103 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdn @ ( rdnn @ SV45 ) @ SV63 ) @ ( rdnn @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1455,plain,
! [SV64: $i,SV79: $i,SV46: $i,SV22: $i] :
( ( ( sum @ SV22 @ SV46 @ SV79 )
= $false )
| ( ( sum @ SV22 @ SV46 @ SV64 )
= $false )
| ( ( SV64 = SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1456,plain,
! [SV23: $i,SV90: $i,SV80: $i,SV47: $i] :
( ( ( sum @ SV47 @ SV80 @ SV90 )
= $false )
| ( ( sum @ SV23 @ SV80 @ SV90 )
= $false )
| ( ( SV23 = SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1457,plain,
! [SV48: $i,SV91: $i,SV65: $i,SV24: $i] :
( ( ( sum @ SV24 @ SV65 @ SV91 )
= $false )
| ( ( sum @ SV24 @ SV48 @ SV91 )
= $false )
| ( ( SV48 = SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1458,plain,
! [SV104: $i,SV92: $i,SV25: $i] :
( ( ( difference @ SV25 @ SV92 @ SV104 )
= $false )
| ( ( sum @ SV92 @ SV104 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1459,plain,
! [SV25: $i,SV105: $i,SV93: $i] :
( ( ( sum @ SV93 @ SV105 @ SV25 )
= $false )
| ( ( difference @ SV25 @ SV93 @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1460,plain,
! [SV94: $i,SV81: $i] :
( ( ( SV81 = SV94 )
= $true )
| ( ( less @ SV81 @ SV94 )
= $true )
| ( ( less_or_equal @ SV81 @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1436]) ).
thf(1461,plain,
! [SV122: $i,SV115: $i] :
( ( ( SV115 != SV122 )
| ( less_or_equal @ SV115 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(1462,plain,
! [SV123: $i,SV116: $i] :
( ( ~ ( less @ SV116 @ SV123 )
| ( less_or_equal @ SV116 @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(1463,plain,
! [SV124: $i,SV117: $i] :
( ( ~ ( less @ SV117 @ SV124 )
| ~ ( less @ SV124 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1464,plain,
! [SV125: $i,SV118: $i] :
( ( ~ ( less @ SV118 @ SV125 )
| ( SV125 != SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(1465,plain,
! [SV67: $i,SV7: $i,SV83: $i,SV31: $i] :
( ( ( rdn_translate @ SV31 @ ( rdn_pos @ SV83 ) )
= $false )
| ( ( rdn_translate @ SV7 @ ( rdn_pos @ SV67 ) )
= $false )
| ( ( ~ ( rdn_positive_less @ SV67 @ SV83 ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1466,plain,
! [SV68: $i,SV9: $i,SV85: $i,SV33: $i] :
( ( ( rdn_translate @ SV33 @ ( rdn_neg @ SV85 ) )
= $false )
| ( ( rdn_translate @ SV9 @ ( rdn_neg @ SV68 ) )
= $false )
| ( ( ~ ( rdn_positive_less @ SV85 @ SV68 ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1467,plain,
! [SV54: $i,SV107: $i,SV96: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SV107 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SV107 ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1445]) ).
thf(1468,plain,
! [SV55: $i,SV108: $i,SV97: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SV108 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SV108 ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1446]) ).
thf(1469,plain,
! [SV56: $i,SV109: $i,SV98: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) )
| ~ ( rdn_positive_less @ SV71 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1447]) ).
thf(1470,plain,
! [SV57: $i,SV110: $i,SV99: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) )
| ~ ( rdn_positive_less @ SV99 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1448]) ).
thf(1471,plain,
! [SV58: $i,SV111: $i,SV16: $i,SV126: $i,SV40: $i] :
( ( ( ~ ( rdn_translate @ SV40 @ ( rdn_pos @ SV126 ) ) )
= $true )
| ( ( rdn_translate @ SV16 @ ( rdn_neg @ SV111 ) )
= $false )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(1472,plain,
! [SV59: $i,SV41: $i,SV74: $i,SV17: $i,SV100: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV100 ) @ ( rdnn @ SV17 ) @ ( rdnn @ SV74 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV100 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV17 ) @ ( rdnn @ SV41 ) @ ( rdnn @ SV59 ) @ ( rdnn @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1473,plain,
! [SV119: $i,SV86: $i,SV18: $i,SV112: $i,SV75: $i,SV60: $i,SV42: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SV112 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SV119 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1474,plain,
! [SV101: $i,SV76: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( ! [SY396: $i,SY397: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SY396 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SY396 ) @ ( rdnn @ SY397 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY397 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
| ~ ( rdn_non_zero @ SV76 )
| ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1452]) ).
thf(1475,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ! [SY401: $i,SY402: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY401 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY401 ) @ ( rdnn @ SY402 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY402 ) @ SV62 @ SV88 @ SV114 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SV88 )
| ~ ( rdn_non_zero @ SV114 )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(1476,plain,
! [SV122: $i,SV115: $i] :
( ( ( ( SV115 != SV122 ) )
= $true )
| ( ( less_or_equal @ SV115 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1461]) ).
thf(1477,plain,
! [SV123: $i,SV116: $i] :
( ( ( ~ ( less @ SV116 @ SV123 ) )
= $true )
| ( ( less_or_equal @ SV116 @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1462]) ).
thf(1478,plain,
! [SV124: $i,SV117: $i] :
( ( ( ~ ( less @ SV117 @ SV124 ) )
= $true )
| ( ( ~ ( less @ SV124 @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1463]) ).
thf(1479,plain,
! [SV125: $i,SV118: $i] :
( ( ( ~ ( less @ SV118 @ SV125 ) )
= $true )
| ( ( ( SV125 != SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1464]) ).
thf(1480,plain,
! [SV31: $i,SV7: $i,SV83: $i,SV67: $i] :
( ( ( rdn_positive_less @ SV67 @ SV83 )
= $false )
| ( ( rdn_translate @ SV7 @ ( rdn_pos @ SV67 ) )
= $false )
| ( ( rdn_translate @ SV31 @ ( rdn_pos @ SV83 ) )
= $false )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1481,plain,
! [SV33: $i,SV9: $i,SV68: $i,SV85: $i] :
( ( ( rdn_positive_less @ SV85 @ SV68 )
= $false )
| ( ( rdn_translate @ SV9 @ ( rdn_neg @ SV68 ) )
= $false )
| ( ( rdn_translate @ SV33 @ ( rdn_neg @ SV85 ) )
= $false )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1482,plain,
! [SV54: $i,SV107: $i,SV96: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) ) )
= $true )
| ( ( ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SV107 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SV107 ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1467]) ).
thf(1483,plain,
! [SV55: $i,SV108: $i,SV97: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) ) )
= $true )
| ( ( ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SV108 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SV108 ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1468]) ).
thf(1484,plain,
! [SV56: $i,SV109: $i,SV98: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV71 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1469]) ).
thf(1485,plain,
! [SV57: $i,SV110: $i,SV99: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV99 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1470]) ).
thf(1486,plain,
! [SV58: $i,SV111: $i,SV16: $i,SV126: $i,SV40: $i] :
( ( ( rdn_translate @ SV40 @ ( rdn_pos @ SV126 ) )
= $false )
| ( ( rdn_translate @ SV16 @ ( rdn_neg @ SV111 ) )
= $false )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1487,plain,
! [SV119: $i,SV86: $i,SV18: $i,SV112: $i,SV75: $i,SV60: $i,SV42: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SV112 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SV119 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1473]) ).
thf(1488,plain,
! [SV101: $i,SV76: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( ! [SY396: $i,SY397: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SY396 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SY396 ) @ ( rdnn @ SY397 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY397 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
| ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1474]) ).
thf(1489,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ! [SY401: $i,SY402: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY401 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY401 ) @ ( rdnn @ SY402 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY402 ) @ SV62 @ SV88 @ SV114 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SV88 )
| ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1475]) ).
thf(1490,plain,
! [SV122: $i,SV115: $i] :
( ( ( SV115 = SV122 )
= $false )
| ( ( less_or_equal @ SV115 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1476]) ).
thf(1491,plain,
! [SV123: $i,SV116: $i] :
( ( ( less @ SV116 @ SV123 )
= $false )
| ( ( less_or_equal @ SV116 @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1492,plain,
! [SV124: $i,SV117: $i] :
( ( ( less @ SV117 @ SV124 )
= $false )
| ( ( ~ ( less @ SV124 @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1493,plain,
! [SV125: $i,SV118: $i] :
( ( ( less @ SV118 @ SV125 )
= $false )
| ( ( ( SV125 != SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1494,plain,
! [SV54: $i,SV107: $i,SV96: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SV107 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SV107 ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1495,plain,
! [SV55: $i,SV108: $i,SV97: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SV108 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SV108 ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1496,plain,
! [SV56: $i,SV109: $i,SV98: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) ) )
= $true )
| ( ( ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV71 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1497,plain,
! [SV57: $i,SV110: $i,SV99: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) ) )
= $true )
| ( ( ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV99 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1498,plain,
! [SV126: $i,SV111: $i,SV58: $i,SV16: $i,SV40: $i] :
( ( ( sum @ SV40 @ SV16 @ SV58 )
= $false )
| ( ( rdn_translate @ SV16 @ ( rdn_neg @ SV111 ) )
= $false )
| ( ( rdn_translate @ SV40 @ ( rdn_pos @ SV126 ) )
= $false )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1499,plain,
! [SV119: $i,SV86: $i,SV18: $i,SV112: $i,SV75: $i,SV60: $i,SV42: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SV112 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SV119 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1500,plain,
! [SV101: $i,SV76: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( ! [SY396: $i,SY397: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SY396 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SY396 ) @ ( rdnn @ SY397 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY397 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1501,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ! [SY401: $i,SY402: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY401 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY401 ) @ ( rdnn @ SY402 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY402 ) @ SV62 @ SV88 @ SV114 ) )
| ~ ( rdn_non_zero @ SV62 )
| ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1489]) ).
thf(1502,plain,
! [SV117: $i,SV124: $i] :
( ( ( less @ SV124 @ SV117 )
= $false )
| ( ( less @ SV117 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1503,plain,
! [SV118: $i,SV125: $i] :
( ( ( SV125 = SV118 )
= $false )
| ( ( less @ SV118 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1504,plain,
! [SV54: $i,SV107: $i,SV69: $i,SV11: $i,SV96: $i,SV35: $i] :
( ( ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) )
= $false )
| ( ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
= $false )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SV107 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SV107 ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1494]) ).
thf(1505,plain,
! [SV55: $i,SV108: $i,SV70: $i,SV12: $i,SV97: $i,SV36: $i] :
( ( ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) )
= $false )
| ( ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
= $false )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SV108 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SV108 ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1506,plain,
! [SV56: $i,SV109: $i,SV98: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV71 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1507,plain,
! [SV57: $i,SV110: $i,SV99: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) ) )
= $true )
| ( ( ~ ( rdn_positive_less @ SV99 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1508,plain,
! [SV112: $i,SV60: $i,SV42: $i,SV119: $i,SV86: $i,SV18: $i,SV75: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SV119 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SV112 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1509,plain,
! [SV101: $i,SV76: $i,SV128: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( ! [SY403: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SY403 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY403 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(1510,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ! [SY401: $i,SY402: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY401 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY401 ) @ ( rdnn @ SY402 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY402 ) @ SV62 @ SV88 @ SV114 ) )
| ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1501]) ).
thf(1511,plain,
! [SV54: $i,SV35: $i,SV11: $i,SV107: $i,SV96: $i,SV69: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SV107 )
= $false )
| ( ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
= $false )
| ( ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SV107 ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1512,plain,
! [SV55: $i,SV36: $i,SV12: $i,SV108: $i,SV97: $i,SV70: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SV108 )
= $false )
| ( ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
= $false )
| ( ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) )
= $false )
| ( ( ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SV108 ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1513,plain,
! [SV56: $i,SV109: $i,SV71: $i,SV13: $i,SV98: $i,SV37: $i] :
( ( ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) )
= $false )
| ( ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
= $false )
| ( ( ~ ( rdn_positive_less @ SV71 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1514,plain,
! [SV57: $i,SV110: $i,SV72: $i,SV14: $i,SV99: $i,SV38: $i] :
( ( ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) )
= $false )
| ( ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
= $false )
| ( ( ~ ( rdn_positive_less @ SV99 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1515,plain,
! [SV86: $i,SV18: $i,SV75: $i,SV60: $i,SV42: $i,SV119: $i,SV112: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdnn @ SV75 ) @ ( rdnn @ SV112 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV75 ) @ ( rdnn @ SV18 ) @ ( rdnn @ SV86 ) @ ( rdnn @ SV119 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV18 ) @ ( rdnn @ SV42 ) @ ( rdnn @ SV60 ) @ ( rdn @ ( rdnn @ SV86 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1516,plain,
! [SV101: $i,SV76: $i,SV129: $i,SV128: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1517,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ! [SY401: $i,SY402: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY401 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY401 ) @ ( rdnn @ SY402 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY402 ) @ SV62 @ SV88 @ SV114 ) ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1510]) ).
thf(1518,plain,
! [SV69: $i,SV11: $i,SV96: $i,SV35: $i,SV107: $i,SV54: $i] :
( ( ( rdn_translate @ SV54 @ ( rdn_pos @ SV107 ) )
= $false )
| ( ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) )
= $false )
| ( ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SV107 )
= $false )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1519,plain,
! [SV70: $i,SV12: $i,SV97: $i,SV36: $i,SV108: $i,SV55: $i] :
( ( ( rdn_translate @ SV55 @ ( rdn_neg @ SV108 ) )
= $false )
| ( ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) )
= $false )
| ( ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SV108 )
= $false )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1520,plain,
! [SV56: $i,SV109: $i,SV37: $i,SV13: $i,SV98: $i,SV71: $i] :
( ( ( rdn_positive_less @ SV71 @ SV98 )
= $false )
| ( ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
= $false )
| ( ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) )
= $false )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1521,plain,
! [SV57: $i,SV110: $i,SV38: $i,SV14: $i,SV72: $i,SV99: $i] :
( ( ( rdn_positive_less @ SV99 @ SV72 )
= $false )
| ( ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
= $false )
| ( ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) )
= $false )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 ) )
= $true )
| ( ( ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1522,plain,
! [SV101: $i,SV76: $i,SV129: $i,SV128: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1516]) ).
thf(1523,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV130: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ! [SY404: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SY404 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY404 ) @ SV62 @ SV88 @ SV114 ) ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(1524,plain,
! [SV56: $i,SV13: $i,SV37: $i,SV98: $i,SV109: $i,SV71: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 )
= $false )
| ( ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) )
= $false )
| ( ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
= $false )
| ( ( rdn_positive_less @ SV71 @ SV98 )
= $false )
| ( ( ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1525,plain,
! [SV57: $i,SV14: $i,SV38: $i,SV72: $i,SV110: $i,SV99: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 )
= $false )
| ( ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) )
= $false )
| ( ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
= $false )
| ( ( rdn_positive_less @ SV99 @ SV72 )
= $false )
| ( ( ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1526,plain,
! [SV101: $i,SV76: $i,SV129: $i,SV128: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1522]) ).
thf(1527,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV131: $i,SV130: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1528,plain,
! [SV37: $i,SV13: $i,SV98: $i,SV71: $i,SV109: $i,SV56: $i] :
( ( ( rdn_translate @ SV56 @ ( rdn_neg @ SV109 ) )
= $false )
| ( ( rdn_positive_less @ SV71 @ SV98 )
= $false )
| ( ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
= $false )
| ( ( rdn_translate @ SV37 @ ( rdn_neg @ SV98 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SV109 @ SV98 )
= $false )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1529,plain,
! [SV38: $i,SV14: $i,SV72: $i,SV99: $i,SV110: $i,SV57: $i] :
( ( ( rdn_translate @ SV57 @ ( rdn_pos @ SV110 ) )
= $false )
| ( ( rdn_positive_less @ SV99 @ SV72 )
= $false )
| ( ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
= $false )
| ( ( rdn_translate @ SV38 @ ( rdn_neg @ SV99 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV99 @ SV110 @ SV72 )
= $false )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1530,plain,
! [SV101: $i,SV76: $i,SV129: $i,SV128: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1531,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV131: $i,SV130: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1527]) ).
thf(1532,plain,
! [SV101: $i,SV76: $i,SV129: $i,SV128: $i,SV87: $i,SV19: $i,SV120: $i,SV113: $i,SV61: $i,SV43: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1533,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV131: $i,SV130: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1531]) ).
thf(1534,plain,
! [SV101: $i,SV76: $i,SV129: $i,SV120: $i,SV61: $i,SV43: $i,SV128: $i,SV87: $i,SV19: $i,SV113: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1535,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV131: $i,SV130: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1533]) ).
thf(1536,plain,
! [SV101: $i,SV76: $i,SV87: $i,SV19: $i,SV113: $i,SV61: $i,SV43: $i,SV129: $i,SV128: $i,SV120: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1537,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV131: $i,SV130: $i,SV102: $i,SV20: $i,SV127: $i,SV121: $i,SV77: $i,SV44: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1535]) ).
thf(1538,plain,
! [SV120: $i,SV61: $i,SV43: $i,SV128: $i,SV87: $i,SV19: $i,SV113: $i,SV101: $i,SV76: $i,SV129: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( ~ ( rdn_non_zero @ SV76 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1539,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV131: $i,SV127: $i,SV77: $i,SV44: $i,SV130: $i,SV102: $i,SV20: $i,SV121: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1540,plain,
! [SV101: $i,SV87: $i,SV19: $i,SV113: $i,SV61: $i,SV43: $i,SV129: $i,SV128: $i,SV120: $i,SV76: $i] :
( ( ( rdn_non_zero @ SV76 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 )
= $false )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1541,plain,
! [SV114: $i,SV88: $i,SV62: $i,SV102: $i,SV20: $i,SV121: $i,SV77: $i,SV44: $i,SV131: $i,SV130: $i,SV127: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1542,plain,
! [SV120: $i,SV61: $i,SV43: $i,SV128: $i,SV87: $i,SV19: $i,SV113: $i,SV76: $i,SV129: $i,SV101: $i] :
( ( ( rdn_non_zero @ SV101 )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV76 @ SV101 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV19 ) @ ( rdnn @ SV87 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV43 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_non_zero @ SV76 )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV19 ) @ ( rdnn @ SV43 ) @ ( rdn @ ( rdnn @ SV61 ) @ SV76 ) @ ( rdn @ ( rdnn @ SV87 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1543,plain,
! [SV127: $i,SV77: $i,SV44: $i,SV130: $i,SV102: $i,SV20: $i,SV121: $i,SV114: $i,SV88: $i,SV62: $i,SV131: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( ~ ( rdn_non_zero @ SV62 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1544,plain,
! [SV114: $i,SV88: $i,SV102: $i,SV20: $i,SV121: $i,SV77: $i,SV44: $i,SV131: $i,SV130: $i,SV127: $i,SV62: $i] :
( ( ( rdn_non_zero @ SV62 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 )
= $false )
| ( ( ~ ( rdn_non_zero @ SV88 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1545,plain,
! [SV127: $i,SV77: $i,SV44: $i,SV130: $i,SV102: $i,SV20: $i,SV121: $i,SV114: $i,SV62: $i,SV131: $i,SV88: $i] :
( ( ( rdn_non_zero @ SV88 )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_non_zero @ SV62 )
= $false )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1546,plain,
! [SV88: $i,SV102: $i,SV20: $i,SV121: $i,SV77: $i,SV44: $i,SV131: $i,SV130: $i,SV127: $i,SV62: $i,SV114: $i] :
( ( ( rdn_non_zero @ SV114 )
= $false )
| ( ( rdn_non_zero @ SV62 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV62 @ SV88 @ SV114 )
= $false )
| ( ( rdn_non_zero @ SV88 )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdn @ ( rdnn @ SV44 ) @ SV62 ) @ ( rdn @ ( rdnn @ SV77 ) @ SV88 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1547,plain,
! [SV117: $i,SV124: $i] :
( ( ( less @ SV117 @ SV124 )
= $false )
| ( ( ( less @ SV124 @ SV117 )
= ( less @ SV117 @ SV124 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1502]) ).
thf(1548,plain,
! [SV118: $i,SV125: $i] :
( ( ( less @ SV118 @ SV125 )
= $false )
| ( ( ( SV125 = SV118 )
= ( less @ SV118 @ SV125 ) )
= $false ) ),
inference(fac_restr,[status(thm)],[1503]) ).
thf(1549,plain,
! [SV117: $i,SV124: $i] :
( ( ( ~ ( ( less @ SV124 @ SV117 )
| ( less @ SV117 @ SV124 ) )
| ~ ( ~ ( less @ SV124 @ SV117 )
| ~ ( less @ SV117 @ SV124 ) ) )
= $false )
| ( ( less @ SV117 @ SV124 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1547]) ).
thf(1550,plain,
! [SV117: $i,SV124: $i] :
( ( ( ( less @ SV124 @ SV117 )
= ( less @ SV117 @ SV124 ) )
= $false )
| ( ( less @ SV117 @ SV124 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1547]) ).
thf(1551,plain,
! [SV118: $i,SV125: $i] :
( ( ( ~ ( ( SV125 = SV118 )
| ( less @ SV118 @ SV125 ) )
| ~ ( ( SV125 != SV118 )
| ~ ( less @ SV118 @ SV125 ) ) )
= $false )
| ( ( less @ SV118 @ SV125 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1548]) ).
thf(1554,plain,
! [SV117: $i,SV124: $i] :
( ( ( ~ ( ~ ( less @ SV124 @ SV117 )
| ~ ( less @ SV117 @ SV124 ) ) )
= $false )
| ( ( less @ SV117 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1549]) ).
thf(1556,plain,
! [SV118: $i,SV125: $i] :
( ( ( ~ ( ( SV125 != SV118 )
| ~ ( less @ SV118 @ SV125 ) ) )
= $false )
| ( ( less @ SV118 @ SV125 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1551]) ).
thf(1558,plain,
! [SV117: $i,SV124: $i] :
( ( ( ~ ( less @ SV124 @ SV117 )
| ~ ( less @ SV117 @ SV124 ) )
= $true )
| ( ( less @ SV117 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1560,plain,
! [SV118: $i,SV125: $i] :
( ( ( ( SV125 != SV118 )
| ~ ( less @ SV118 @ SV125 ) )
= $true )
| ( ( less @ SV118 @ SV125 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1562,plain,
! [SV117: $i,SV124: $i] :
( ( ( ~ ( less @ SV124 @ SV117 ) )
= $true )
| ( ( ~ ( less @ SV117 @ SV124 ) )
= $true )
| ( ( less @ SV117 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1564,plain,
! [SV118: $i,SV125: $i] :
( ( ( ( SV125 != SV118 ) )
= $true )
| ( ( ~ ( less @ SV118 @ SV125 ) )
= $true )
| ( ( less @ SV118 @ SV125 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1560]) ).
thf(1565,plain,
! [SV117: $i,SV124: $i] :
( ( ( less @ SV124 @ SV117 )
= $false )
| ( ( ~ ( less @ SV117 @ SV124 ) )
= $true )
| ( ( less @ SV117 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1566,plain,
! [SV118: $i,SV125: $i] :
( ( ( SV125 = SV118 )
= $false )
| ( ( ~ ( less @ SV118 @ SV125 ) )
= $true )
| ( ( less @ SV118 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1567,plain,
! [SV124: $i,SV117: $i] :
( ( ( less @ SV117 @ SV124 )
= $false )
| ( ( less @ SV124 @ SV117 )
= $false )
| ( ( less @ SV117 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1568,plain,
! [SV125: $i,SV118: $i] :
( ( ( less @ SV118 @ SV125 )
= $false )
| ( ( SV125 = SV118 )
= $false )
| ( ( less @ SV118 @ SV125 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1569,plain,
! [SV117: $i] :
( ( less @ SV117 @ SV117 )
= $false ),
inference(extuni,[status(esa)],[1550:[bind(SV124,$thf( SV117 ))]]) ).
thf(1570,plain,
! [SV118: $i] :
( ( ( less @ SV118 @ SV118 )
= $false )
| ( ( less @ SV118 @ SV118 )
= $false ) ),
inference(extuni,[status(esa)],[1568:[bind(SV125,$thf( SV118 ))]]) ).
thf(1571,plain,
! [SV122: $i] :
( ( less_or_equal @ SV122 @ SV122 )
= $true ),
inference(extuni,[status(esa)],[1490:[bind(SV115,$thf( SV122 ))]]) ).
thf(1572,plain,
! [SV118: $i] :
( ( less @ SV118 @ SV118 )
= $false ),
inference(extuni,[status(esa)],[1503:[bind(SV125,$thf( SV118 ))]]) ).
thf(1573,plain,
! [SV124: $i,SV117: $i] :
( ( ( less @ SV117 @ SV124 )
= $false )
| ( ( less @ SV124 @ SV117 )
= $false ) ),
inference(sim,[status(thm)],[1567]) ).
thf(1574,plain,
! [SV118: $i] :
( ( less @ SV118 @ SV118 )
= $false ),
inference(sim,[status(thm)],[1570]) ).
thf(1575,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[835,1574,1573,1572,1571,1569,1546,1542,1529,1528,1519,1518,1515,1503,1502,1498,1491,1490,1481,1480,1472,1460,1459,1458,1457,1456,1455,1454,1443,1439,1424,1419,1415,1414,1386,1358,1330,1300,1236,1229,1228,1227,1226,1225,1224,1223,1222,1221,1220,1219,1218,1217,1216,1215,1214,1213,1212,1211,1210,1209,1208,1207,1206,1205,1204,1203,1202,1201,1200,1199,1198,1197,1196,1195,1194,1193,1192,1191,1190,1189,1188,1187,1186,1185,1184,1183,1182,1181,1180,1179,1178,1177,1176,1175,1174,1173,1172,1171,1170,1169,1168,1167,1166,1165,1164,1163,1162,1161,1160,1159,1158,1157,1156,1155,1154,1153,1152,1151,1150,1149,1148,1147,1146,1145,1144,1143,1142,1141,1140,1139,1138,1137,1136,1135,1134,1133,1132,1131,1130,1108,1107,1106,1105,1104,1103,1102,1101,1100,1099,1098,1097,1096,1095,1094,1093,1092,1091,1090,1089,1088,1087,1086,1085,1084,1083,1082,1081,1080,1079,1078,1077,1076,1075,1074,1073,1072,1071,1070,1069,1068,1067,1066,1065,1064,1063,1062,1061,1060,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1049,1048,1047,1046,1045,1044,1043,1042,1041,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1030,1029,1028,1027,1026,1025,1024,1023,1022,1021,1020,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,999,998,997,996,995,994,993,992,991,990,989,988,987,986,985,984,983,982,981,980,979,978,977,976,975,974,973,972,971,970,969,968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,926,925,924,923,922,921,920,919,918,917,916,915,914,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,888,887,886,885,884,883,882,881,880,879,878,877,876,875,874,873,872,871,870,869,868,867,866,865,864,863,862,861,860,859,858,857,856,855,854,853,852,851,850,849,848,847,846,845,844,843,842,841,840,839,838,837,836]) ).
thf(1576,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM303+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 02:05:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.42 ..
% 0.44/0.62
% 0.44/0.62 No.of.Axioms: 401
% 0.44/0.62
% 0.44/0.62 Length.of.Defs: 0
% 0.44/0.62
% 0.44/0.62 Contains.Choice.Funs: false
% 0.46/0.67 ....................................................................................................
% 0.76/0.95 (rf:2,axioms:401,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:403,loop_count:0,foatp_calls:0,translation:fof_full).......................................................................eprover: CPU time limit exceeded, terminating
% 74.62/74.87 ....................
% 87.76/88.04
% 87.76/88.04 ********************************
% 87.76/88.04 * All subproblems solved! *
% 87.76/88.04 ********************************
% 87.76/88.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:401,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1575,loop_count:0,foatp_calls:2,translation:fof_full)
% 88.31/88.58
% 88.31/88.58 %**** Beginning of derivation protocol ****
% 88.31/88.58 % SZS output start CNFRefutation
% See solution above
% 88.31/88.58
% 88.31/88.58 %**** End of derivation protocol ****
% 88.31/88.58 %**** no. of clauses in derivation: 1569 ****
% 88.31/88.58 %**** clause counter: 1575 ****
% 88.31/88.58
% 88.31/88.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:401,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1575,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------