TSTP Solution File: NUM298+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM298+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 : n018.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 11:48:12 EDT 2022
% Result : Theorem 76.88s 77.22s
% Output : CNFRefutation 77.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 672
% Syntax : Number of formulae : 1415 ( 940 unt; 270 typ; 0 def)
% Number of atoms : 4778 (1288 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 14285 (1013 ~;1143 |; 53 &;12049 @)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 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 : 1996 ( 0 ^1996 !; 0 ?;1996 :)
% 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,
~ ( less @ n2 @ nn2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n2_not_less_nn2) ).
thf(403,negated_conjecture,
( ( ~ ( less @ n2 @ nn2 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[402]) ).
thf(404,plain,
( ( less @ n2 @ nn2 )
= $true ),
inference(polarity_switch,[status(thm)],[403]) ).
thf(405,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)],[101]) ).
thf(406,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)],[102]) ).
thf(407,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)],[103]) ).
thf(408,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)],[104]) ).
thf(409,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)],[105]) ).
thf(410,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)],[106]) ).
thf(411,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)],[107]) ).
thf(412,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)],[108]) ).
thf(413,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)],[109]) ).
thf(414,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)],[110]) ).
thf(415,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)],[111]) ).
thf(416,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)],[112]) ).
thf(417,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)],[113]) ).
thf(418,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)],[114]) ).
thf(419,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)],[115]) ).
thf(420,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)],[116]) ).
thf(421,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)],[117]) ).
thf(422,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)],[118]) ).
thf(423,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)],[119]) ).
thf(424,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)],[120]) ).
thf(425,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)],[121]) ).
thf(426,plain,
( ( ! [D: $i,O: $i] :
( ~ ( rdn_non_zero @ O )
| ( rdn_non_zero @ ( rdn @ ( rdnn @ D ) @ O ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[122]) ).
thf(427,plain,
( ( ! [X: $i] :
( ~ ( rdn_non_zero_digit @ ( rdnn @ X ) )
| ( rdn_non_zero @ ( rdnn @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[123]) ).
thf(428,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)],[124]) ).
thf(429,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)],[125]) ).
thf(430,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)],[126]) ).
thf(431,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)],[127]) ).
thf(432,plain,
( ( rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(433,plain,
( ( rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(434,plain,
( ( rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(435,plain,
( ( rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(436,plain,
( ( rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(437,plain,
( ( rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(438,plain,
( ( rdn_translate @ n6 @ ( rdn_pos @ ( rdnn @ n6 ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(439,plain,
( ( rdn_translate @ n7 @ ( rdn_pos @ ( rdnn @ n7 ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(440,plain,
( ( rdn_translate @ n8 @ ( rdn_pos @ ( rdnn @ n8 ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(441,plain,
( ( rdn_translate @ n9 @ ( rdn_pos @ ( rdnn @ n9 ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(442,plain,
( ( rdn_translate @ n10 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(443,plain,
( ( rdn_translate @ n11 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(444,plain,
( ( rdn_translate @ n12 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(445,plain,
( ( rdn_translate @ n13 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(446,plain,
( ( rdn_translate @ n14 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(447,plain,
( ( rdn_translate @ n15 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(448,plain,
( ( rdn_translate @ n16 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(449,plain,
( ( rdn_translate @ n17 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(450,plain,
( ( rdn_translate @ n18 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(451,plain,
( ( rdn_translate @ n19 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(452,plain,
( ( rdn_translate @ n20 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(453,plain,
( ( rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(454,plain,
( ( rdn_translate @ n22 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(455,plain,
( ( rdn_translate @ n23 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(456,plain,
( ( rdn_translate @ n24 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(457,plain,
( ( rdn_translate @ n25 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(458,plain,
( ( rdn_translate @ n26 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(459,plain,
( ( rdn_translate @ n27 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(460,plain,
( ( rdn_translate @ n28 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(461,plain,
( ( rdn_translate @ n29 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(462,plain,
( ( rdn_translate @ n30 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(463,plain,
( ( rdn_translate @ n31 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(464,plain,
( ( rdn_translate @ n32 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(465,plain,
( ( rdn_translate @ n33 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(466,plain,
( ( rdn_translate @ n34 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(467,plain,
( ( rdn_translate @ n35 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(468,plain,
( ( rdn_translate @ n36 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(469,plain,
( ( rdn_translate @ n37 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(470,plain,
( ( rdn_translate @ n38 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(471,plain,
( ( rdn_translate @ n39 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(472,plain,
( ( rdn_translate @ n40 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(473,plain,
( ( rdn_translate @ n41 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(474,plain,
( ( rdn_translate @ n42 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(475,plain,
( ( rdn_translate @ n43 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(476,plain,
( ( rdn_translate @ n44 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(477,plain,
( ( rdn_translate @ n45 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(478,plain,
( ( rdn_translate @ n46 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(479,plain,
( ( rdn_translate @ n47 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(480,plain,
( ( rdn_translate @ n48 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(481,plain,
( ( rdn_translate @ n49 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[352]) ).
thf(482,plain,
( ( rdn_translate @ n50 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[351]) ).
thf(483,plain,
( ( rdn_translate @ n51 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(484,plain,
( ( rdn_translate @ n52 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(485,plain,
( ( rdn_translate @ n53 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(486,plain,
( ( rdn_translate @ n54 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(487,plain,
( ( rdn_translate @ n55 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(488,plain,
( ( rdn_translate @ n56 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(489,plain,
( ( rdn_translate @ n57 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(490,plain,
( ( rdn_translate @ n58 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(491,plain,
( ( rdn_translate @ n59 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(492,plain,
( ( rdn_translate @ n60 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(493,plain,
( ( rdn_translate @ n61 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(494,plain,
( ( rdn_translate @ n62 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(495,plain,
( ( rdn_translate @ n63 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(496,plain,
( ( rdn_translate @ n64 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(497,plain,
( ( rdn_translate @ n65 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(498,plain,
( ( rdn_translate @ n66 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(499,plain,
( ( rdn_translate @ n67 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(500,plain,
( ( rdn_translate @ n68 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(501,plain,
( ( rdn_translate @ n69 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(502,plain,
( ( rdn_translate @ n70 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(503,plain,
( ( rdn_translate @ n71 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(504,plain,
( ( rdn_translate @ n72 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(505,plain,
( ( rdn_translate @ n73 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(506,plain,
( ( rdn_translate @ n74 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(507,plain,
( ( rdn_translate @ n75 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(508,plain,
( ( rdn_translate @ n76 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(509,plain,
( ( rdn_translate @ n77 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(510,plain,
( ( rdn_translate @ n78 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(511,plain,
( ( rdn_translate @ n79 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(512,plain,
( ( rdn_translate @ n80 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(513,plain,
( ( rdn_translate @ n81 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(514,plain,
( ( rdn_translate @ n82 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(515,plain,
( ( rdn_translate @ n83 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(516,plain,
( ( rdn_translate @ n84 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(517,plain,
( ( rdn_translate @ n85 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(518,plain,
( ( rdn_translate @ n86 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(519,plain,
( ( rdn_translate @ n87 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(520,plain,
( ( rdn_translate @ n88 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(521,plain,
( ( rdn_translate @ n89 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(522,plain,
( ( rdn_translate @ n90 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(523,plain,
( ( rdn_translate @ n91 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(524,plain,
( ( rdn_translate @ n92 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(525,plain,
( ( rdn_translate @ n93 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(526,plain,
( ( rdn_translate @ n94 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(527,plain,
( ( rdn_translate @ n95 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(528,plain,
( ( rdn_translate @ n96 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(529,plain,
( ( rdn_translate @ n97 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(530,plain,
( ( rdn_translate @ n98 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(531,plain,
( ( rdn_translate @ n99 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(532,plain,
( ( rdn_translate @ n100 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(533,plain,
( ( rdn_translate @ n101 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(534,plain,
( ( rdn_translate @ n102 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(535,plain,
( ( rdn_translate @ n103 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(536,plain,
( ( rdn_translate @ n104 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(537,plain,
( ( rdn_translate @ n105 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(538,plain,
( ( rdn_translate @ n106 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(539,plain,
( ( rdn_translate @ n107 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(540,plain,
( ( rdn_translate @ n108 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(541,plain,
( ( rdn_translate @ n109 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(542,plain,
( ( rdn_translate @ n110 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(543,plain,
( ( rdn_translate @ n111 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(544,plain,
( ( rdn_translate @ n112 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(545,plain,
( ( rdn_translate @ n113 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(546,plain,
( ( rdn_translate @ n114 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(547,plain,
( ( rdn_translate @ n115 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(548,plain,
( ( rdn_translate @ n116 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(549,plain,
( ( rdn_translate @ n117 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(550,plain,
( ( rdn_translate @ n118 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(551,plain,
( ( rdn_translate @ n119 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(552,plain,
( ( rdn_translate @ n120 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(553,plain,
( ( rdn_translate @ n121 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(554,plain,
( ( rdn_translate @ n122 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(555,plain,
( ( rdn_translate @ n123 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(556,plain,
( ( rdn_translate @ n124 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(557,plain,
( ( rdn_translate @ n125 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(558,plain,
( ( rdn_translate @ n126 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(559,plain,
( ( rdn_translate @ n127 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(560,plain,
( ( rdn_translate @ nn1 @ ( rdn_neg @ ( rdnn @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(561,plain,
( ( rdn_translate @ nn2 @ ( rdn_neg @ ( rdnn @ n2 ) ) )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(562,plain,
( ( rdn_translate @ nn3 @ ( rdn_neg @ ( rdnn @ n3 ) ) )
= $true ),
inference(copy,[status(thm)],[271]) ).
thf(563,plain,
( ( rdn_translate @ nn4 @ ( rdn_neg @ ( rdnn @ n4 ) ) )
= $true ),
inference(copy,[status(thm)],[270]) ).
thf(564,plain,
( ( rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ) )
= $true ),
inference(copy,[status(thm)],[269]) ).
thf(565,plain,
( ( rdn_translate @ nn6 @ ( rdn_neg @ ( rdnn @ n6 ) ) )
= $true ),
inference(copy,[status(thm)],[268]) ).
thf(566,plain,
( ( rdn_translate @ nn7 @ ( rdn_neg @ ( rdnn @ n7 ) ) )
= $true ),
inference(copy,[status(thm)],[267]) ).
thf(567,plain,
( ( rdn_translate @ nn8 @ ( rdn_neg @ ( rdnn @ n8 ) ) )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(568,plain,
( ( rdn_translate @ nn9 @ ( rdn_neg @ ( rdnn @ n9 ) ) )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(569,plain,
( ( rdn_translate @ nn10 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(570,plain,
( ( rdn_translate @ nn11 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(571,plain,
( ( rdn_translate @ nn12 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(572,plain,
( ( rdn_translate @ nn13 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(573,plain,
( ( rdn_translate @ nn14 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(574,plain,
( ( rdn_translate @ nn15 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(575,plain,
( ( rdn_translate @ nn16 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(576,plain,
( ( rdn_translate @ nn17 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(577,plain,
( ( rdn_translate @ nn18 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(578,plain,
( ( rdn_translate @ nn19 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(579,plain,
( ( rdn_translate @ nn20 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(580,plain,
( ( rdn_translate @ nn21 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(581,plain,
( ( rdn_translate @ nn22 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(582,plain,
( ( rdn_translate @ nn23 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(583,plain,
( ( rdn_translate @ nn24 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(584,plain,
( ( rdn_translate @ nn25 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(585,plain,
( ( rdn_translate @ nn26 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(586,plain,
( ( rdn_translate @ nn27 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(587,plain,
( ( rdn_translate @ nn28 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(588,plain,
( ( rdn_translate @ nn29 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(589,plain,
( ( rdn_translate @ nn30 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(590,plain,
( ( rdn_translate @ nn31 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(591,plain,
( ( rdn_translate @ nn32 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(592,plain,
( ( rdn_translate @ nn33 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(593,plain,
( ( rdn_translate @ nn34 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(594,plain,
( ( rdn_translate @ nn35 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(595,plain,
( ( rdn_translate @ nn36 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(596,plain,
( ( rdn_translate @ nn37 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(597,plain,
( ( rdn_translate @ nn38 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(598,plain,
( ( rdn_translate @ nn39 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(599,plain,
( ( rdn_translate @ nn40 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(600,plain,
( ( rdn_translate @ nn41 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(601,plain,
( ( rdn_translate @ nn42 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(602,plain,
( ( rdn_translate @ nn43 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(603,plain,
( ( rdn_translate @ nn44 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(604,plain,
( ( rdn_translate @ nn45 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(605,plain,
( ( rdn_translate @ nn46 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(606,plain,
( ( rdn_translate @ nn47 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(607,plain,
( ( rdn_translate @ nn48 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(608,plain,
( ( rdn_translate @ nn49 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(609,plain,
( ( rdn_translate @ nn50 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(610,plain,
( ( rdn_translate @ nn51 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(611,plain,
( ( rdn_translate @ nn52 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[222]) ).
thf(612,plain,
( ( rdn_translate @ nn53 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(613,plain,
( ( rdn_translate @ nn54 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[220]) ).
thf(614,plain,
( ( rdn_translate @ nn55 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[219]) ).
thf(615,plain,
( ( rdn_translate @ nn56 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(616,plain,
( ( rdn_translate @ nn57 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(617,plain,
( ( rdn_translate @ nn58 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(618,plain,
( ( rdn_translate @ nn59 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(619,plain,
( ( rdn_translate @ nn60 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[214]) ).
thf(620,plain,
( ( rdn_translate @ nn61 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[213]) ).
thf(621,plain,
( ( rdn_translate @ nn62 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(622,plain,
( ( rdn_translate @ nn63 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(623,plain,
( ( rdn_translate @ nn64 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(624,plain,
( ( rdn_translate @ nn65 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[209]) ).
thf(625,plain,
( ( rdn_translate @ nn66 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[208]) ).
thf(626,plain,
( ( rdn_translate @ nn67 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[207]) ).
thf(627,plain,
( ( rdn_translate @ nn68 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[206]) ).
thf(628,plain,
( ( rdn_translate @ nn69 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[205]) ).
thf(629,plain,
( ( rdn_translate @ nn70 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[204]) ).
thf(630,plain,
( ( rdn_translate @ nn71 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(631,plain,
( ( rdn_translate @ nn72 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[202]) ).
thf(632,plain,
( ( rdn_translate @ nn73 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(633,plain,
( ( rdn_translate @ nn74 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(634,plain,
( ( rdn_translate @ nn75 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(635,plain,
( ( rdn_translate @ nn76 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(636,plain,
( ( rdn_translate @ nn77 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(637,plain,
( ( rdn_translate @ nn78 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(638,plain,
( ( rdn_translate @ nn79 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(639,plain,
( ( rdn_translate @ nn80 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(640,plain,
( ( rdn_translate @ nn81 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(641,plain,
( ( rdn_translate @ nn82 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(642,plain,
( ( rdn_translate @ nn83 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(643,plain,
( ( rdn_translate @ nn84 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(644,plain,
( ( rdn_translate @ nn85 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(645,plain,
( ( rdn_translate @ nn86 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(646,plain,
( ( rdn_translate @ nn87 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(647,plain,
( ( rdn_translate @ nn88 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(648,plain,
( ( rdn_translate @ nn89 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(649,plain,
( ( rdn_translate @ nn90 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(650,plain,
( ( rdn_translate @ nn91 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(651,plain,
( ( rdn_translate @ nn92 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(652,plain,
( ( rdn_translate @ nn93 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(653,plain,
( ( rdn_translate @ nn94 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(654,plain,
( ( rdn_translate @ nn95 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(655,plain,
( ( rdn_translate @ nn96 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(656,plain,
( ( rdn_translate @ nn97 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(657,plain,
( ( rdn_translate @ nn98 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(658,plain,
( ( rdn_translate @ nn99 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(659,plain,
( ( rdn_translate @ nn100 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(660,plain,
( ( rdn_translate @ nn101 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(661,plain,
( ( rdn_translate @ nn102 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(662,plain,
( ( rdn_translate @ nn103 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(663,plain,
( ( rdn_translate @ nn104 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(664,plain,
( ( rdn_translate @ nn105 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(665,plain,
( ( rdn_translate @ nn106 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(666,plain,
( ( rdn_translate @ nn107 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(667,plain,
( ( rdn_translate @ nn108 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(668,plain,
( ( rdn_translate @ nn109 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(669,plain,
( ( rdn_translate @ nn110 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(670,plain,
( ( rdn_translate @ nn111 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(671,plain,
( ( rdn_translate @ nn112 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(672,plain,
( ( rdn_translate @ nn113 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(673,plain,
( ( rdn_translate @ nn114 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(674,plain,
( ( rdn_translate @ nn115 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(675,plain,
( ( rdn_translate @ nn116 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(676,plain,
( ( rdn_translate @ nn117 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(677,plain,
( ( rdn_translate @ nn118 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(678,plain,
( ( rdn_translate @ nn119 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(679,plain,
( ( rdn_translate @ nn120 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(680,plain,
( ( rdn_translate @ nn121 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(681,plain,
( ( rdn_translate @ nn122 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(682,plain,
( ( rdn_translate @ nn123 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(683,plain,
( ( rdn_translate @ nn124 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(684,plain,
( ( rdn_translate @ nn125 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(685,plain,
( ( rdn_translate @ nn126 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(686,plain,
( ( rdn_translate @ nn127 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(687,plain,
( ( rdn_translate @ nn128 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(688,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(689,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n2 ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(690,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n3 ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(691,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n4 ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(692,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n5 ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(693,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n6 ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(694,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n7 ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(695,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n8 ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(696,plain,
( ( rdn_non_zero_digit @ ( rdnn @ n9 ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(697,plain,
( ( rdn_positive_less @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(698,plain,
( ( rdn_positive_less @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(699,plain,
( ( rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(700,plain,
( ( rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(701,plain,
( ( rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(702,plain,
( ( rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(703,plain,
( ( rdn_positive_less @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(704,plain,
( ( rdn_positive_less @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(705,plain,
( ( rdn_positive_less @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(706,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)],[431]) ).
thf(707,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)],[430]) ).
thf(708,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)],[429]) ).
thf(709,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)],[428]) ).
thf(710,plain,
( ( ! [X: $i] :
( ~ ( rdn_non_zero_digit @ ( rdnn @ X ) )
| ( rdn_non_zero @ ( rdnn @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(711,plain,
( ( ! [D: $i,O: $i] :
( ~ ( rdn_non_zero @ O )
| ( rdn_non_zero @ ( rdn @ ( rdnn @ D ) @ O ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(712,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)],[425]) ).
thf(713,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)],[424]) ).
thf(714,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)],[423]) ).
thf(715,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)],[422]) ).
thf(716,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)],[421]) ).
thf(717,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( less @ Z @ Y )
| ~ ( sum @ X @ n1 @ Y )
| ( less_or_equal @ Z @ X ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(718,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)],[419]) ).
thf(719,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)],[418]) ).
thf(720,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)],[417]) ).
thf(721,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)],[416]) ).
thf(722,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)],[415]) ).
thf(723,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)],[414]) ).
thf(724,plain,
( ( ! [X: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( sum @ X @ Y @ Z1 )
| ~ ( sum @ X @ Y @ Z2 )
| ( Z1 = Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(725,plain,
( ( ! [X1: $i,X2: $i] :
( ! [Y: $i,Z: $i] :
( ~ ( sum @ X1 @ Y @ Z )
| ~ ( sum @ X2 @ Y @ Z ) )
| ( X1 = X2 ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(726,plain,
( ( ! [X: $i,Y1: $i,Y2: $i] :
( ! [Z: $i] :
( ~ ( sum @ X @ Y1 @ Z )
| ~ ( sum @ X @ Y2 @ Z ) )
| ( Y1 = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(727,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)],[410]) ).
thf(728,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)],[409]) ).
thf(729,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)],[408]) ).
thf(730,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)],[407]) ).
thf(731,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)],[406]) ).
thf(732,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)],[405]) ).
thf(733,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(734,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(735,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(736,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(737,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(738,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(739,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(740,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(741,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(742,plain,
( ( rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(743,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(744,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(745,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(746,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(747,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(748,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(749,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(750,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(751,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(752,plain,
( ( rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(753,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(754,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(755,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(756,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(757,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(758,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(759,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(760,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(761,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(762,plain,
( ( rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(763,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(764,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(765,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(766,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(767,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(768,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(769,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(770,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(771,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(772,plain,
( ( rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(773,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(774,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(775,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(776,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(777,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(778,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(779,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(780,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(781,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(782,plain,
( ( rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(783,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(784,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(785,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(786,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(787,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(788,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(789,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(790,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(791,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(792,plain,
( ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(793,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(794,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(795,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(796,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(797,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(798,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(799,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(800,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(801,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(802,plain,
( ( rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(803,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(804,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(805,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(806,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(807,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(808,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(809,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(810,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(811,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(812,plain,
( ( rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(813,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(814,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(815,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(816,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(817,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(818,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(819,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(820,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(821,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(822,plain,
( ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(823,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(824,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(825,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(826,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(827,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(828,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(829,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(830,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(831,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(832,plain,
( ( rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(833,plain,
( ( less @ n2 @ nn2 )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(834,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)],[715]) ).
thf(835,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)],[716]) ).
thf(836,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)],[727]) ).
thf(837,plain,
! [SV1: $i] :
( ( ! [SY17: $i,SY18: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SY17 ) )
| ~ ( rdn_positive_less @ ( rdnn @ SY17 ) @ ( rdnn @ SY18 ) )
| ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SY18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(838,plain,
! [SV2: $i] :
( ( ! [SY19: $i,SY20: $i,SY21: $i] :
( ~ ( rdn_positive_less @ SY19 @ SY21 )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SY19 ) @ ( rdn @ ( rdnn @ SY20 ) @ SY21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(839,plain,
! [SV3: $i] :
( ( ! [SY22: $i,SY23: $i] :
( ~ ( rdn_non_zero @ SY22 )
| ~ ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SY23 ) )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SY22 ) @ ( rdn @ ( rdnn @ SY23 ) @ SY22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(840,plain,
! [SV4: $i] :
( ( ! [SY24: $i,SY25: $i] :
( ~ ( rdn_non_zero @ SY25 )
| ( rdn_positive_less @ ( rdnn @ SV4 ) @ ( rdn @ ( rdnn @ SY24 ) @ SY25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(841,plain,
! [SV5: $i] :
( ( ~ ( rdn_non_zero_digit @ ( rdnn @ SV5 ) )
| ( rdn_non_zero @ ( rdnn @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(842,plain,
! [SV6: $i] :
( ( ! [SY26: $i] :
( ~ ( rdn_non_zero @ SY26 )
| ( rdn_non_zero @ ( rdn @ ( rdnn @ SV6 ) @ SY26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(843,plain,
! [SV7: $i] :
( ( ! [SY27: $i] :
( ! [SY28: $i,SY29: $i] :
( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SY28 ) )
| ~ ( rdn_translate @ SY27 @ ( rdn_pos @ SY29 ) )
| ~ ( rdn_positive_less @ SY28 @ SY29 ) )
| ( less @ SV7 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(844,plain,
! [SV8: $i] :
( ( ! [SY30: $i] :
( ! [SY31: $i] :
~ ( rdn_translate @ SV8 @ ( rdn_neg @ SY31 ) )
| ! [RDN_Y: $i] :
~ ( rdn_translate @ SY30 @ ( rdn_pos @ RDN_Y ) )
| ( less @ SV8 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(845,plain,
! [SV9: $i] :
( ( ! [SY33: $i] :
( ! [SY34: $i,SY35: $i] :
( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SY34 ) )
| ~ ( rdn_translate @ SY33 @ ( rdn_neg @ SY35 ) )
| ~ ( rdn_positive_less @ SY35 @ SY34 ) )
| ( less @ SV9 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(846,plain,
! [SV10: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ~ ( less @ SY37 @ SY36 )
| ~ ( sum @ SV10 @ n1 @ SY36 )
| ( less_or_equal @ SY37 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(847,plain,
! [SV11: $i] :
( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ! [SY41: $i,SY42: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SY40 ) )
| ~ ( rdn_translate @ SY38 @ ( rdn_pos @ SY41 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY40 @ SY41 @ SY42 )
| ~ ( rdn_translate @ SY39 @ ( rdn_pos @ SY42 ) ) )
| ( sum @ SV11 @ SY38 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(848,plain,
! [SV12: $i] :
( ( ! [SY43: $i,SY44: $i,SY45: $i] :
( ! [SY46: $i,SY47: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SY45 ) )
| ~ ( rdn_translate @ SY43 @ ( rdn_neg @ SY46 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY45 @ SY46 @ SY47 )
| ~ ( rdn_translate @ SY44 @ ( rdn_neg @ SY47 ) ) )
| ( sum @ SV12 @ SY43 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(849,plain,
! [SV13: $i] :
( ( ! [SY48: $i,SY49: $i,SY50: $i] :
( ! [SY51: $i,SY52: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SY50 ) )
| ~ ( rdn_translate @ SY48 @ ( rdn_neg @ SY51 ) )
| ~ ( rdn_positive_less @ SY50 @ SY51 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY50 @ SY52 @ SY51 )
| ~ ( rdn_translate @ SY49 @ ( rdn_neg @ SY52 ) ) )
| ( sum @ SV13 @ SY48 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(850,plain,
! [SV14: $i] :
( ( ! [SY53: $i,SY54: $i,SY55: $i] :
( ! [SY56: $i,SY57: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SY55 ) )
| ~ ( rdn_translate @ SY53 @ ( rdn_neg @ SY56 ) )
| ~ ( rdn_positive_less @ SY56 @ SY55 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY56 @ SY57 @ SY55 )
| ~ ( rdn_translate @ SY54 @ ( rdn_pos @ SY57 ) ) )
| ( sum @ SV14 @ SY53 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(851,plain,
! [SV15: $i] :
( ( ! [SY58: $i] :
( ! [SY59: $i] :
( ~ ( rdn_translate @ SV15 @ ( rdn_pos @ SY59 ) )
| ~ ( rdn_translate @ SY58 @ ( rdn_neg @ SY59 ) ) )
| ( sum @ SV15 @ SY58 @ n0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(852,plain,
! [SV16: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ! [SY62: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY62 ) )
| ! [RDN_Y: $i] :
~ ( rdn_translate @ SY60 @ ( rdn_pos @ RDN_Y ) )
| ~ ( sum @ SY60 @ SV16 @ SY61 )
| ( sum @ SV16 @ SY60 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(853,plain,
! [SV17: $i] :
( ( ! [SY64: $i,SY65: $i,SY66: $i] :
( ~ ( sum @ SV17 @ SY64 @ SY65 )
| ~ ( sum @ SV17 @ SY64 @ SY66 )
| ( SY65 = SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(854,plain,
! [SV18: $i] :
( ( ! [SY67: $i] :
( ! [SY68: $i,SY69: $i] :
( ~ ( sum @ SV18 @ SY68 @ SY69 )
| ~ ( sum @ SY67 @ SY68 @ SY69 ) )
| ( SV18 = SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(855,plain,
! [SV19: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ! [SY72: $i] :
( ~ ( sum @ SV19 @ SY70 @ SY72 )
| ~ ( sum @ SV19 @ SY71 @ SY72 ) )
| ( SY70 = SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(856,plain,
! [SV20: $i] :
( ( ! [SY73: $i,SY74: $i,SY75: $i] :
( ! [SY76: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SY73 ) @ ( rdnn @ SY74 ) @ ( rdnn @ SY76 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY76 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SY75 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SY73 ) @ ( rdnn @ SY74 ) @ ( rdnn @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(857,plain,
! [SV21: $i] :
( ( ! [SY77: $i,SY78: $i,SY79: $i,SY80: $i] :
( ! [SY81: $i,SY82: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SY77 ) @ ( rdnn @ SY78 ) @ ( rdnn @ SY79 ) @ ( rdnn @ SY81 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY79 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SY80 ) @ ( rdnn @ SY82 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY81 ) @ ( rdnn @ SY82 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SY77 ) @ ( rdnn @ SY78 ) @ ( rdn @ ( rdnn @ SY80 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(858,plain,
! [SV22: $i] :
( ( ! [SY83: $i,SY84: $i,SY85: $i,SY86: $i,SY87: $i,SY88: $i,SY89: $i] :
( ! [SY90: $i,SY91: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SY83 ) @ ( rdnn @ SY84 ) @ ( rdnn @ SY88 ) @ ( rdnn @ SY89 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY88 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SY86 ) @ ( rdnn @ SY90 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY89 ) @ ( rdnn @ SY90 ) @ ( rdnn @ SY91 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY91 ) @ ( rdnn @ n0 ) @ SY85 @ SY87 ) )
| ~ ( rdn_non_zero @ SY85 )
| ~ ( rdn_non_zero @ SY87 )
| ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SY83 ) @ ( rdn @ ( rdnn @ SY84 ) @ SY85 ) @ ( rdn @ ( rdnn @ SY86 ) @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(859,plain,
! [SV23: $i] :
( ( ! [SY92: $i,SY93: $i,SY94: $i,SY95: $i,SY96: $i,SY97: $i,SY98: $i,SY99: $i] :
( ! [SY100: $i,SY101: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SY92 ) @ ( rdnn @ SY94 ) @ ( rdnn @ SY98 ) @ ( rdnn @ SY99 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY98 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SY96 ) @ ( rdnn @ SY100 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY99 ) @ ( rdnn @ SY100 ) @ ( rdnn @ SY101 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY101 ) @ SY93 @ SY95 @ SY97 ) )
| ~ ( rdn_non_zero @ SY93 )
| ~ ( rdn_non_zero @ SY95 )
| ~ ( rdn_non_zero @ SY97 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SY92 ) @ SY93 ) @ ( rdn @ ( rdnn @ SY94 ) @ SY95 ) @ ( rdn @ ( rdnn @ SY96 ) @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(860,plain,
! [SV24: $i] :
( ( ! [SY102: $i,SY103: $i,SY104: $i,SY105: $i,SY106: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdnn @ SY104 ) @ ( rdn @ ( rdnn @ SY102 ) @ SY103 ) @ ( rdn @ ( rdnn @ SY105 ) @ SY106 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdn @ ( rdnn @ SY102 ) @ SY103 ) @ ( rdnn @ SY104 ) @ ( rdn @ ( rdnn @ SY105 ) @ SY106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(861,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)],[834]) ).
thf(862,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)],[835]) ).
thf(863,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY107: $i,SY108: $i] :
( ~ ( difference @ SV25 @ SY107 @ SY108 )
| ( sum @ SY107 @ SY108 @ SV25 ) )
| ~ ! [SY109: $i,SY110: $i] :
( ~ ( sum @ SY109 @ SY110 @ SV25 )
| ( difference @ SV25 @ SY109 @ SY110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(864,plain,
! [SV26: $i,SV1: $i] :
( ( ! [SY111: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SV26 ) )
| ~ ( rdn_positive_less @ ( rdnn @ SV26 ) @ ( rdnn @ SY111 ) )
| ( rdn_positive_less @ ( rdnn @ SV1 ) @ ( rdnn @ SY111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(865,plain,
! [SV2: $i,SV27: $i] :
( ( ! [SY112: $i,SY113: $i] :
( ~ ( rdn_positive_less @ SV27 @ SY113 )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SV27 ) @ ( rdn @ ( rdnn @ SY112 ) @ SY113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(866,plain,
! [SV3: $i,SV28: $i] :
( ( ! [SY114: $i] :
( ~ ( rdn_non_zero @ SV28 )
| ~ ( rdn_positive_less @ ( rdnn @ SV3 ) @ ( rdnn @ SY114 ) )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV3 ) @ SV28 ) @ ( rdn @ ( rdnn @ SY114 ) @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(867,plain,
! [SV29: $i,SV4: $i] :
( ( ! [SY115: $i] :
( ~ ( rdn_non_zero @ SY115 )
| ( rdn_positive_less @ ( rdnn @ SV4 ) @ ( rdn @ ( rdnn @ SV29 ) @ SY115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(868,plain,
! [SV5: $i] :
( ( ( ~ ( rdn_non_zero_digit @ ( rdnn @ SV5 ) ) )
= $true )
| ( ( rdn_non_zero @ ( rdnn @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(869,plain,
! [SV6: $i,SV30: $i] :
( ( ~ ( rdn_non_zero @ SV30 )
| ( rdn_non_zero @ ( rdn @ ( rdnn @ SV6 ) @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(870,plain,
! [SV31: $i,SV7: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SY116 ) )
| ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SY117 ) )
| ~ ( rdn_positive_less @ SY116 @ SY117 ) )
| ( less @ SV7 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(871,plain,
! [SV32: $i,SV8: $i] :
( ( ! [SY31: $i] :
~ ( rdn_translate @ SV8 @ ( rdn_neg @ SY31 ) )
| ! [SY119: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY119 ) )
| ( less @ SV8 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(872,plain,
! [SV33: $i,SV9: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SY120 ) )
| ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SY121 ) )
| ~ ( rdn_positive_less @ SY121 @ SY120 ) )
| ( less @ SV9 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(873,plain,
! [SV10: $i,SV34: $i] :
( ( ! [SY122: $i] :
( ~ ( less @ SY122 @ SV34 )
| ~ ( sum @ SV10 @ n1 @ SV34 )
| ( less_or_equal @ SY122 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(874,plain,
! [SV35: $i,SV11: $i] :
( ( ! [SY123: $i,SY124: $i] :
( ! [SY125: $i,SY126: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SY124 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SY125 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY124 @ SY125 @ SY126 )
| ~ ( rdn_translate @ SY123 @ ( rdn_pos @ SY126 ) ) )
| ( sum @ SV11 @ SV35 @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(875,plain,
! [SV36: $i,SV12: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ! [SY129: $i,SY130: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SY128 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SY129 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY128 @ SY129 @ SY130 )
| ~ ( rdn_translate @ SY127 @ ( rdn_neg @ SY130 ) ) )
| ( sum @ SV12 @ SV36 @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(876,plain,
! [SV37: $i,SV13: $i] :
( ( ! [SY131: $i,SY132: $i] :
( ! [SY133: $i,SY134: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SY132 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SY133 ) )
| ~ ( rdn_positive_less @ SY132 @ SY133 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY132 @ SY134 @ SY133 )
| ~ ( rdn_translate @ SY131 @ ( rdn_neg @ SY134 ) ) )
| ( sum @ SV13 @ SV37 @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(877,plain,
! [SV38: $i,SV14: $i] :
( ( ! [SY135: $i,SY136: $i] :
( ! [SY137: $i,SY138: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SY136 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SY137 ) )
| ~ ( rdn_positive_less @ SY137 @ SY136 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY137 @ SY138 @ SY136 )
| ~ ( rdn_translate @ SY135 @ ( rdn_pos @ SY138 ) ) )
| ( sum @ SV14 @ SV38 @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(878,plain,
! [SV39: $i,SV15: $i] :
( ( ! [SY139: $i] :
( ~ ( rdn_translate @ SV15 @ ( rdn_pos @ SY139 ) )
| ~ ( rdn_translate @ SV39 @ ( rdn_neg @ SY139 ) ) )
| ( sum @ SV15 @ SV39 @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(879,plain,
! [SV40: $i,SV16: $i] :
( ( ! [SY140: $i] :
( ! [SY62: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY62 ) )
| ! [SY142: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY142 ) )
| ~ ( sum @ SV40 @ SV16 @ SY140 )
| ( sum @ SV16 @ SV40 @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(880,plain,
! [SV41: $i,SV17: $i] :
( ( ! [SY143: $i,SY144: $i] :
( ~ ( sum @ SV17 @ SV41 @ SY143 )
| ~ ( sum @ SV17 @ SV41 @ SY144 )
| ( SY143 = SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(881,plain,
! [SV42: $i,SV18: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ( sum @ SV18 @ SY145 @ SY146 )
| ~ ( sum @ SV42 @ SY145 @ SY146 ) )
| ( SV18 = SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(882,plain,
! [SV43: $i,SV19: $i] :
( ( ! [SY147: $i] :
( ! [SY148: $i] :
( ~ ( sum @ SV19 @ SV43 @ SY148 )
| ~ ( sum @ SV19 @ SY147 @ SY148 ) )
| ( SV43 = SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(883,plain,
! [SV20: $i,SV44: $i] :
( ( ! [SY149: $i,SY150: $i] :
( ! [SY151: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SY149 ) @ ( rdnn @ SY151 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY151 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SY150 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SV44 ) @ ( rdnn @ SY149 ) @ ( rdnn @ SY150 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(884,plain,
! [SV21: $i,SV45: $i] :
( ( ! [SY152: $i,SY153: $i,SY154: $i] :
( ! [SY155: $i,SY156: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SY152 ) @ ( rdnn @ SY153 ) @ ( rdnn @ SY155 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY153 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SY154 ) @ ( rdnn @ SY156 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY155 ) @ ( rdnn @ SY156 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SY152 ) @ ( rdn @ ( rdnn @ SY154 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(885,plain,
! [SV22: $i,SV46: $i] :
( ( ! [SY157: $i,SY158: $i,SY159: $i,SY160: $i,SY161: $i,SY162: $i] :
( ! [SY163: $i,SY164: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SY157 ) @ ( rdnn @ SY161 ) @ ( rdnn @ SY162 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY161 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SY159 ) @ ( rdnn @ SY163 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY162 ) @ ( rdnn @ SY163 ) @ ( rdnn @ SY164 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY164 ) @ ( rdnn @ n0 ) @ SY158 @ SY160 ) )
| ~ ( rdn_non_zero @ SY158 )
| ~ ( rdn_non_zero @ SY160 )
| ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SY157 ) @ SY158 ) @ ( rdn @ ( rdnn @ SY159 ) @ SY160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(886,plain,
! [SV23: $i,SV47: $i] :
( ( ! [SY165: $i,SY166: $i,SY167: $i,SY168: $i,SY169: $i,SY170: $i,SY171: $i] :
( ! [SY172: $i,SY173: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SY166 ) @ ( rdnn @ SY170 ) @ ( rdnn @ SY171 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY170 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SY168 ) @ ( rdnn @ SY172 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY171 ) @ ( rdnn @ SY172 ) @ ( rdnn @ SY173 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY173 ) @ SY165 @ SY167 @ SY169 ) )
| ~ ( rdn_non_zero @ SY165 )
| ~ ( rdn_non_zero @ SY167 )
| ~ ( rdn_non_zero @ SY169 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SY165 ) @ ( rdn @ ( rdnn @ SY166 ) @ SY167 ) @ ( rdn @ ( rdnn @ SY168 ) @ SY169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(887,plain,
! [SV48: $i,SV24: $i] :
( ( ! [SY174: $i,SY175: $i,SY176: $i,SY177: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdnn @ SY175 ) @ ( rdn @ ( rdnn @ SV48 ) @ SY174 ) @ ( rdn @ ( rdnn @ SY176 ) @ SY177 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdn @ ( rdnn @ SV48 ) @ SY174 ) @ ( rdnn @ SY175 ) @ ( rdn @ ( rdnn @ SY176 ) @ SY177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(888,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( less @ SX1 @ SX0 )
| ( SX1 = SX0 )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(889,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)],[861]) ).
thf(890,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(891,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)],[862]) ).
thf(892,plain,
! [SV25: $i] :
( ( ~ ! [SY107: $i,SY108: $i] :
( ~ ( difference @ SV25 @ SY107 @ SY108 )
| ( sum @ SY107 @ SY108 @ SV25 ) )
| ~ ! [SY109: $i,SY110: $i] :
( ~ ( sum @ SY109 @ SY110 @ SV25 )
| ( difference @ SV25 @ SY109 @ SY110 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(893,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)],[864]) ).
thf(894,plain,
! [SV50: $i,SV2: $i,SV27: $i] :
( ( ! [SY178: $i] :
( ~ ( rdn_positive_less @ SV27 @ SY178 )
| ( rdn_positive_less @ ( rdn @ ( rdnn @ SV2 ) @ SV27 ) @ ( rdn @ ( rdnn @ SV50 ) @ SY178 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(895,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)],[866]) ).
thf(896,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)],[867]) ).
thf(897,plain,
! [SV5: $i] :
( ( ( rdn_non_zero_digit @ ( rdnn @ SV5 ) )
= $false )
| ( ( rdn_non_zero @ ( rdnn @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(898,plain,
! [SV6: $i,SV30: $i] :
( ( ( ~ ( rdn_non_zero @ SV30 ) )
= $true )
| ( ( rdn_non_zero @ ( rdn @ ( rdnn @ SV6 ) @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(899,plain,
! [SV31: $i,SV7: $i] :
( ( ( ! [SY116: $i,SY117: $i] :
( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SY116 ) )
| ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SY117 ) )
| ~ ( rdn_positive_less @ SY116 @ SY117 ) ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(900,plain,
! [SV32: $i,SV8: $i] :
( ( ( ! [SY31: $i] :
~ ( rdn_translate @ SV8 @ ( rdn_neg @ SY31 ) )
| ! [SY119: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY119 ) ) )
= $true )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(901,plain,
! [SV33: $i,SV9: $i] :
( ( ( ! [SY120: $i,SY121: $i] :
( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SY120 ) )
| ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SY121 ) )
| ~ ( rdn_positive_less @ SY121 @ SY120 ) ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(902,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)],[873]) ).
thf(903,plain,
! [SV54: $i,SV35: $i,SV11: $i] :
( ( ! [SY179: $i] :
( ! [SY180: $i,SY181: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SY179 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SY180 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY179 @ SY180 @ SY181 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SY181 ) ) )
| ( sum @ SV11 @ SV35 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(904,plain,
! [SV55: $i,SV36: $i,SV12: $i] :
( ( ! [SY182: $i] :
( ! [SY183: $i,SY184: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SY182 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SY183 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY182 @ SY183 @ SY184 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SY184 ) ) )
| ( sum @ SV12 @ SV36 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(905,plain,
! [SV56: $i,SV37: $i,SV13: $i] :
( ( ! [SY185: $i] :
( ! [SY186: $i,SY187: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SY185 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SY186 ) )
| ~ ( rdn_positive_less @ SY185 @ SY186 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY185 @ SY187 @ SY186 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SY187 ) ) )
| ( sum @ SV13 @ SV37 @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(906,plain,
! [SV57: $i,SV38: $i,SV14: $i] :
( ( ! [SY188: $i] :
( ! [SY189: $i,SY190: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SY188 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SY189 ) )
| ~ ( rdn_positive_less @ SY189 @ SY188 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY189 @ SY190 @ SY188 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SY190 ) ) )
| ( sum @ SV14 @ SV38 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(907,plain,
! [SV39: $i,SV15: $i] :
( ( ( ! [SY139: $i] :
( ~ ( rdn_translate @ SV15 @ ( rdn_pos @ SY139 ) )
| ~ ( rdn_translate @ SV39 @ ( rdn_neg @ SY139 ) ) ) )
= $true )
| ( ( sum @ SV15 @ SV39 @ n0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(908,plain,
! [SV58: $i,SV40: $i,SV16: $i] :
( ( ! [SY62: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY62 ) )
| ! [SY142: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY142 ) )
| ~ ( sum @ SV40 @ SV16 @ SV58 )
| ( sum @ SV16 @ SV40 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(909,plain,
! [SV59: $i,SV41: $i,SV17: $i] :
( ( ! [SY193: $i] :
( ~ ( sum @ SV17 @ SV41 @ SV59 )
| ~ ( sum @ SV17 @ SV41 @ SY193 )
| ( SV59 = SY193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(910,plain,
! [SV42: $i,SV18: $i] :
( ( ( ! [SY145: $i,SY146: $i] :
( ~ ( sum @ SV18 @ SY145 @ SY146 )
| ~ ( sum @ SV42 @ SY145 @ SY146 ) ) )
= $true )
| ( ( SV18 = SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(911,plain,
! [SV60: $i,SV43: $i,SV19: $i] :
( ( ! [SY194: $i] :
( ~ ( sum @ SV19 @ SV43 @ SY194 )
| ~ ( sum @ SV19 @ SV60 @ SY194 ) )
| ( SV43 = SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(912,plain,
! [SV20: $i,SV61: $i,SV44: $i] :
( ( ! [SY195: $i] :
( ! [SY196: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SY196 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY196 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SY195 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SY195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(913,plain,
! [SV21: $i,SV62: $i,SV45: $i] :
( ( ! [SY197: $i,SY198: $i] :
( ! [SY199: $i,SY200: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SY197 ) @ ( rdnn @ SY199 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY197 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SY198 ) @ ( rdnn @ SY200 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY199 ) @ ( rdnn @ SY200 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SY198 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(914,plain,
! [SV22: $i,SV63: $i,SV46: $i] :
( ( ! [SY201: $i,SY202: $i,SY203: $i,SY204: $i,SY205: $i] :
( ! [SY206: $i,SY207: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SY204 ) @ ( rdnn @ SY205 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY204 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SY202 ) @ ( rdnn @ SY206 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY205 ) @ ( rdnn @ SY206 ) @ ( rdnn @ SY207 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY207 ) @ ( rdnn @ n0 ) @ SY201 @ SY203 ) )
| ~ ( rdn_non_zero @ SY201 )
| ~ ( rdn_non_zero @ SY203 )
| ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SY201 ) @ ( rdn @ ( rdnn @ SY202 ) @ SY203 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(915,plain,
! [SV64: $i,SV23: $i,SV47: $i] :
( ( ! [SY208: $i,SY209: $i,SY210: $i,SY211: $i,SY212: $i,SY213: $i] :
( ! [SY214: $i,SY215: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SY208 ) @ ( rdnn @ SY212 ) @ ( rdnn @ SY213 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY212 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SY210 ) @ ( rdnn @ SY214 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY213 ) @ ( rdnn @ SY214 ) @ ( rdnn @ SY215 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY215 ) @ SV64 @ SY209 @ SY211 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SY209 )
| ~ ( rdn_non_zero @ SY211 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SY208 ) @ SY209 ) @ ( rdn @ ( rdnn @ SY210 ) @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(916,plain,
! [SV65: $i,SV48: $i,SV24: $i] :
( ( ! [SY216: $i,SY217: $i,SY218: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdnn @ SY216 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdn @ ( rdnn @ SY217 ) @ SY218 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdnn @ SY216 ) @ ( rdn @ ( rdnn @ SY217 ) @ SY218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(917,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( less @ SX1 @ SX0 )
| ( SX1 = SX0 )
| ( less @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[888]) ).
thf(918,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)],[889]) ).
thf(919,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less_or_equal @ SX0 @ SX1 )
| ( SX0 = SX1 )
| ( less @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(920,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)],[891]) ).
thf(921,plain,
! [SV25: $i] :
( ( ~ ! [SY107: $i,SY108: $i] :
( ~ ( difference @ SV25 @ SY107 @ SY108 )
| ( sum @ SY107 @ SY108 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(922,plain,
! [SV25: $i] :
( ( ~ ! [SY109: $i,SY110: $i] :
( ~ ( sum @ SY109 @ SY110 @ SV25 )
| ( difference @ SV25 @ SY109 @ SY110 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(923,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)],[893]) ).
thf(924,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)],[894]) ).
thf(925,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)],[895]) ).
thf(926,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)],[896]) ).
thf(927,plain,
! [SV6: $i,SV30: $i] :
( ( ( rdn_non_zero @ SV30 )
= $false )
| ( ( rdn_non_zero @ ( rdn @ ( rdnn @ SV6 ) @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(928,plain,
! [SV31: $i,SV67: $i,SV7: $i] :
( ( ( ! [SY219: $i] :
( ~ ( rdn_translate @ SV7 @ ( rdn_pos @ SV67 ) )
| ~ ( rdn_translate @ SV31 @ ( rdn_pos @ SY219 ) )
| ~ ( rdn_positive_less @ SV67 @ SY219 ) ) )
= $true )
| ( ( less @ SV7 @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(929,plain,
! [SV32: $i,SV8: $i] :
( ( ( ! [SY31: $i] :
~ ( rdn_translate @ SV8 @ ( rdn_neg @ SY31 ) ) )
= $true )
| ( ( ! [SY119: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY119 ) ) )
= $true )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(930,plain,
! [SV33: $i,SV68: $i,SV9: $i] :
( ( ( ! [SY220: $i] :
( ~ ( rdn_translate @ SV9 @ ( rdn_neg @ SV68 ) )
| ~ ( rdn_translate @ SV33 @ ( rdn_neg @ SY220 ) )
| ~ ( rdn_positive_less @ SY220 @ SV68 ) ) )
= $true )
| ( ( less @ SV9 @ SV33 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(931,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)],[902]) ).
thf(932,plain,
! [SV54: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ! [SY221: $i,SY222: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SY221 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SY221 @ SY222 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SY222 ) ) )
| ( sum @ SV11 @ SV35 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(933,plain,
! [SV55: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ! [SY223: $i,SY224: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SY223 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SY223 @ SY224 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SY224 ) ) )
| ( sum @ SV12 @ SV36 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(934,plain,
! [SV56: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ! [SY225: $i,SY226: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SY225 ) )
| ~ ( rdn_positive_less @ SV71 @ SY225 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SY226 @ SY225 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SY226 ) ) )
| ( sum @ SV13 @ SV37 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(935,plain,
! [SV57: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ! [SY227: $i,SY228: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SY227 ) )
| ~ ( rdn_positive_less @ SY227 @ SV72 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY227 @ SY228 @ SV72 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SY228 ) ) )
| ( sum @ SV14 @ SV38 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(936,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)],[907]) ).
thf(937,plain,
! [SV58: $i,SV40: $i,SV16: $i] :
( ( ( ! [SY62: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY62 ) )
| ! [SY142: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY142 ) )
| ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(938,plain,
! [SV74: $i,SV59: $i,SV41: $i,SV17: $i] :
( ( ~ ( sum @ SV17 @ SV41 @ SV59 )
| ~ ( sum @ SV17 @ SV41 @ SV74 )
| ( SV59 = SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(939,plain,
! [SV42: $i,SV75: $i,SV18: $i] :
( ( ( ! [SY229: $i] :
( ~ ( sum @ SV18 @ SV75 @ SY229 )
| ~ ( sum @ SV42 @ SV75 @ SY229 ) ) )
= $true )
| ( ( SV18 = SV42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(940,plain,
! [SV60: $i,SV43: $i,SV19: $i] :
( ( ( ! [SY194: $i] :
( ~ ( sum @ SV19 @ SV43 @ SY194 )
| ~ ( sum @ SV19 @ SV60 @ SY194 ) ) )
= $true )
| ( ( SV43 = SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(941,plain,
! [SV76: $i,SV20: $i,SV61: $i,SV44: $i] :
( ( ! [SY230: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SY230 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY230 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV76 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(942,plain,
! [SV21: $i,SV77: $i,SV62: $i,SV45: $i] :
( ( ! [SY231: $i] :
( ! [SY232: $i,SY233: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SY232 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SY231 ) @ ( rdnn @ SY233 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY232 ) @ ( rdnn @ SY233 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SY231 ) @ ( rdnn @ n1 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(943,plain,
! [SV78: $i,SV22: $i,SV63: $i,SV46: $i] :
( ( ! [SY234: $i,SY235: $i,SY236: $i,SY237: $i] :
( ! [SY238: $i,SY239: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SY236 ) @ ( rdnn @ SY237 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY236 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SY234 ) @ ( rdnn @ SY238 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY237 ) @ ( rdnn @ SY238 ) @ ( rdnn @ SY239 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY239 ) @ ( rdnn @ n0 ) @ SV78 @ SY235 ) )
| ~ ( rdn_non_zero @ SV78 )
| ~ ( rdn_non_zero @ SY235 )
| ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SY234 ) @ SY235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(944,plain,
! [SV64: $i,SV23: $i,SV79: $i,SV47: $i] :
( ( ! [SY240: $i,SY241: $i,SY242: $i,SY243: $i,SY244: $i] :
( ! [SY245: $i,SY246: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SY243 ) @ ( rdnn @ SY244 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY243 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SY241 ) @ ( rdnn @ SY245 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY244 ) @ ( rdnn @ SY245 ) @ ( rdnn @ SY246 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY246 ) @ SV64 @ SY240 @ SY242 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SY240 )
| ~ ( rdn_non_zero @ SY242 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SY240 ) @ ( rdn @ ( rdnn @ SY241 ) @ SY242 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(945,plain,
! [SV65: $i,SV48: $i,SV80: $i,SV24: $i] :
( ( ! [SY247: $i,SY248: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdn @ ( rdnn @ SY247 ) @ SY248 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SY247 ) @ SY248 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(946,plain,
! [SV81: $i] :
( ( ! [SY249: $i] :
( ( less @ SY249 @ SV81 )
| ( SY249 = SV81 )
| ( less @ SV81 @ SY249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(947,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)],[918]) ).
thf(948,plain,
! [SV82: $i] :
( ( ! [SY250: $i] :
( ~ ( less_or_equal @ SV82 @ SY250 )
| ( SV82 = SY250 )
| ( less @ SV82 @ SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(949,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)],[920]) ).
thf(950,plain,
! [SV25: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ~ ( difference @ SV25 @ SY107 @ SY108 )
| ( sum @ SY107 @ SY108 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[921]) ).
thf(951,plain,
! [SV25: $i] :
( ( ! [SY109: $i,SY110: $i] :
( ~ ( sum @ SY109 @ SY110 @ SV25 )
| ( difference @ SV25 @ SY109 @ SY110 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(952,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)],[923]) ).
thf(953,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)],[924]) ).
thf(954,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)],[925]) ).
thf(955,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)],[926]) ).
thf(956,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)],[928]) ).
thf(957,plain,
! [SV32: $i,SV84: $i,SV8: $i] :
( ( ( ~ ( rdn_translate @ SV8 @ ( rdn_neg @ SV84 ) ) )
= $true )
| ( ( ! [SY119: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY119 ) ) )
= $true )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(958,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)],[930]) ).
thf(959,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)],[931]) ).
thf(960,plain,
! [SV54: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( ! [SY221: $i,SY222: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SY221 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SY221 @ SY222 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SY222 ) ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(961,plain,
! [SV55: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( ! [SY223: $i,SY224: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SY223 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SY223 @ SY224 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SY224 ) ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(962,plain,
! [SV56: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ! [SY225: $i,SY226: $i] :
( ~ ( rdn_translate @ SV13 @ ( rdn_pos @ SV71 ) )
| ~ ( rdn_translate @ SV37 @ ( rdn_neg @ SY225 ) )
| ~ ( rdn_positive_less @ SV71 @ SY225 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV71 @ SY226 @ SY225 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SY226 ) ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(963,plain,
! [SV57: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ! [SY227: $i,SY228: $i] :
( ~ ( rdn_translate @ SV14 @ ( rdn_pos @ SV72 ) )
| ~ ( rdn_translate @ SV38 @ ( rdn_neg @ SY227 ) )
| ~ ( rdn_positive_less @ SY227 @ SV72 )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SY227 @ SY228 @ SV72 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SY228 ) ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(964,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)],[936]) ).
thf(965,plain,
! [SV58: $i,SV40: $i,SV16: $i] :
( ( ( ! [SY62: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY62 ) )
| ! [SY142: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY142 ) ) )
= $true )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(966,plain,
! [SV74: $i,SV59: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( sum @ SV17 @ SV41 @ SV59 )
| ~ ( sum @ SV17 @ SV41 @ SV74 ) )
= $true )
| ( ( SV59 = SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(967,plain,
! [SV42: $i,SV86: $i,SV75: $i,SV18: $i] :
( ( ( ~ ( sum @ SV18 @ SV75 @ SV86 )
| ~ ( sum @ SV42 @ SV75 @ SV86 ) )
= $true )
| ( ( SV18 = SV42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(968,plain,
! [SV60: $i,SV87: $i,SV43: $i,SV19: $i] :
( ( ( ~ ( sum @ SV19 @ SV43 @ SV87 )
| ~ ( sum @ SV19 @ SV60 @ SV87 ) )
= $true )
| ( ( SV43 = SV60 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(969,plain,
! [SV76: $i,SV20: $i,SV61: $i,SV44: $i] :
( ( ( ! [SY230: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SY230 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY230 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV76 ) @ ( rdnn @ n0 ) ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(970,plain,
! [SV88: $i,SV21: $i,SV77: $i,SV62: $i,SV45: $i] :
( ( ! [SY251: $i,SY252: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SY251 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SY252 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY251 ) @ ( rdnn @ SY252 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
| ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(971,plain,
! [SV78: $i,SV89: $i,SV22: $i,SV63: $i,SV46: $i] :
( ( ! [SY253: $i,SY254: $i,SY255: $i] :
( ! [SY256: $i,SY257: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SY254 ) @ ( rdnn @ SY255 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY254 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SY256 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY255 ) @ ( rdnn @ SY256 ) @ ( rdnn @ SY257 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY257 ) @ ( rdnn @ n0 ) @ SV78 @ SY253 ) )
| ~ ( rdn_non_zero @ SV78 )
| ~ ( rdn_non_zero @ SY253 )
| ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SY253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(972,plain,
! [SV90: $i,SV64: $i,SV23: $i,SV79: $i,SV47: $i] :
( ( ! [SY258: $i,SY259: $i,SY260: $i,SY261: $i] :
( ! [SY262: $i,SY263: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SY260 ) @ ( rdnn @ SY261 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY260 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SY258 ) @ ( rdnn @ SY262 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY261 ) @ ( rdnn @ SY262 ) @ ( rdnn @ SY263 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY263 ) @ SV64 @ SV90 @ SY259 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SV90 )
| ~ ( rdn_non_zero @ SY259 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SY258 ) @ SY259 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(973,plain,
! [SV91: $i,SV65: $i,SV48: $i,SV80: $i,SV24: $i] :
( ( ! [SY264: $i] :
( ~ ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdn @ ( rdnn @ SV91 ) @ SY264 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV91 ) @ SY264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(974,plain,
! [SV81: $i,SV92: $i] :
( ( ( less @ SV92 @ SV81 )
| ( SV92 = SV81 )
| ( less @ SV81 @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(975,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(976,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(977,plain,
! [SV93: $i,SV82: $i] :
( ( ~ ( less_or_equal @ SV82 @ SV93 )
| ( SV82 = SV93 )
| ( less @ SV82 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(978,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(979,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(980,plain,
! [SV94: $i,SV25: $i] :
( ( ! [SY265: $i] :
( ~ ( difference @ SV25 @ SV94 @ SY265 )
| ( sum @ SV94 @ SY265 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(981,plain,
! [SV25: $i,SV95: $i] :
( ( ! [SY266: $i] :
( ~ ( sum @ SV95 @ SY266 @ SV25 )
| ( difference @ SV25 @ SV95 @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(982,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)],[952]) ).
thf(983,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)],[953]) ).
thf(984,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)],[954]) ).
thf(985,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)],[956]) ).
thf(986,plain,
! [SV32: $i,SV84: $i,SV8: $i] :
( ( ( rdn_translate @ SV8 @ ( rdn_neg @ SV84 ) )
= $false )
| ( ( ! [SY119: $i] :
~ ( rdn_translate @ SV32 @ ( rdn_pos @ SY119 ) ) )
= $true )
| ( ( less @ SV8 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(987,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)],[958]) ).
thf(988,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)],[959]) ).
thf(989,plain,
! [SV54: $i,SV96: $i,SV35: $i,SV69: $i,SV11: $i] :
( ( ( ! [SY267: $i] :
( ~ ( rdn_translate @ SV11 @ ( rdn_pos @ SV69 ) )
| ~ ( rdn_translate @ SV35 @ ( rdn_pos @ SV96 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV69 @ SV96 @ SY267 )
| ~ ( rdn_translate @ SV54 @ ( rdn_pos @ SY267 ) ) ) )
= $true )
| ( ( sum @ SV11 @ SV35 @ SV54 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(990,plain,
! [SV55: $i,SV97: $i,SV36: $i,SV70: $i,SV12: $i] :
( ( ( ! [SY268: $i] :
( ~ ( rdn_translate @ SV12 @ ( rdn_neg @ SV70 ) )
| ~ ( rdn_translate @ SV36 @ ( rdn_neg @ SV97 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ SV70 @ SV97 @ SY268 )
| ~ ( rdn_translate @ SV55 @ ( rdn_neg @ SY268 ) ) ) )
= $true )
| ( ( sum @ SV12 @ SV36 @ SV55 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(991,plain,
! [SV56: $i,SV98: $i,SV37: $i,SV71: $i,SV13: $i] :
( ( ( ! [SY269: $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 @ SY269 @ SV98 )
| ~ ( rdn_translate @ SV56 @ ( rdn_neg @ SY269 ) ) ) )
= $true )
| ( ( sum @ SV13 @ SV37 @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(992,plain,
! [SV57: $i,SV99: $i,SV38: $i,SV72: $i,SV14: $i] :
( ( ( ! [SY270: $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 @ SY270 @ SV72 )
| ~ ( rdn_translate @ SV57 @ ( rdn_pos @ SY270 ) ) ) )
= $true )
| ( ( sum @ SV14 @ SV38 @ SV57 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(993,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)],[964]) ).
thf(994,plain,
! [SV58: $i,SV40: $i,SV16: $i] :
( ( ( ! [SY62: $i] :
~ ( rdn_translate @ SV16 @ ( rdn_neg @ SY62 ) ) )
= $true )
| ( ( ! [SY142: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY142 ) ) )
= $true )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(995,plain,
! [SV74: $i,SV59: $i,SV41: $i,SV17: $i] :
( ( ( ~ ( sum @ SV17 @ SV41 @ SV59 ) )
= $true )
| ( ( ~ ( sum @ SV17 @ SV41 @ SV74 ) )
= $true )
| ( ( SV59 = SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(996,plain,
! [SV42: $i,SV86: $i,SV75: $i,SV18: $i] :
( ( ( ~ ( sum @ SV18 @ SV75 @ SV86 ) )
= $true )
| ( ( ~ ( sum @ SV42 @ SV75 @ SV86 ) )
= $true )
| ( ( SV18 = SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(997,plain,
! [SV60: $i,SV87: $i,SV43: $i,SV19: $i] :
( ( ( ~ ( sum @ SV19 @ SV43 @ SV87 ) )
= $true )
| ( ( ~ ( sum @ SV19 @ SV60 @ SV87 ) )
= $true )
| ( ( SV43 = SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(998,plain,
! [SV76: $i,SV20: $i,SV100: $i,SV61: $i,SV44: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV100 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV100 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV76 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV76 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(999,plain,
! [SV88: $i,SV21: $i,SV77: $i,SV62: $i,SV45: $i] :
( ( ( ! [SY251: $i,SY252: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SY251 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SY252 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY251 ) @ ( rdnn @ SY252 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1000,plain,
! [SV101: $i,SV78: $i,SV89: $i,SV22: $i,SV63: $i,SV46: $i] :
( ( ! [SY271: $i,SY272: $i] :
( ! [SY273: $i,SY274: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SY271 ) @ ( rdnn @ SY272 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY271 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SY273 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY272 ) @ ( rdnn @ SY273 ) @ ( rdnn @ SY274 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY274 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
| ~ ( rdn_non_zero @ SV78 )
| ~ ( rdn_non_zero @ SV101 )
| ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1001,plain,
! [SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV79: $i,SV47: $i] :
( ( ! [SY275: $i,SY276: $i,SY277: $i] :
( ! [SY278: $i,SY279: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SY276 ) @ ( rdnn @ SY277 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY276 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY278 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY277 ) @ ( rdnn @ SY278 ) @ ( rdnn @ SY279 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY279 ) @ SV64 @ SV90 @ SY275 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SV90 )
| ~ ( rdn_non_zero @ SY275 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SY275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1002,plain,
! [SV103: $i,SV91: $i,SV65: $i,SV48: $i,SV80: $i,SV24: $i] :
( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdn @ ( rdnn @ SV91 ) @ SV103 ) )
| ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV91 ) @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1003,plain,
! [SV81: $i,SV92: $i] :
( ( ( ( less @ SV92 @ SV81 )
| ( SV92 = SV81 ) )
= $true )
| ( ( less @ SV81 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[974]) ).
thf(1004,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ~ ( less @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1005,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( SX1 != SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1006,plain,
! [SV93: $i,SV82: $i] :
( ( ( ~ ( less_or_equal @ SV82 @ SV93 ) )
= $true )
| ( ( ( SV82 = SV93 )
| ( less @ SV82 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1007,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1008,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( less @ SX0 @ SX1 )
| ( less_or_equal @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1009,plain,
! [SV104: $i,SV94: $i,SV25: $i] :
( ( ~ ( difference @ SV25 @ SV94 @ SV104 )
| ( sum @ SV94 @ SV104 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1010,plain,
! [SV25: $i,SV105: $i,SV95: $i] :
( ( ~ ( sum @ SV95 @ SV105 @ SV25 )
| ( difference @ SV25 @ SV95 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1011,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)],[982]) ).
thf(1012,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)],[984]) ).
thf(1013,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)],[985]) ).
thf(1014,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)],[986]) ).
thf(1015,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)],[987]) ).
thf(1016,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)],[988]) ).
thf(1017,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)],[989]) ).
thf(1018,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)],[990]) ).
thf(1019,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)],[991]) ).
thf(1020,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)],[992]) ).
thf(1021,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)],[993]) ).
thf(1022,plain,
! [SV58: $i,SV40: $i,SV111: $i,SV16: $i] :
( ( ( ~ ( rdn_translate @ SV16 @ ( rdn_neg @ SV111 ) ) )
= $true )
| ( ( ! [SY142: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY142 ) ) )
= $true )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1023,plain,
! [SV74: $i,SV59: $i,SV41: $i,SV17: $i] :
( ( ( sum @ SV17 @ SV41 @ SV59 )
= $false )
| ( ( ~ ( sum @ SV17 @ SV41 @ SV74 ) )
= $true )
| ( ( SV59 = SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1024,plain,
! [SV42: $i,SV86: $i,SV75: $i,SV18: $i] :
( ( ( sum @ SV18 @ SV75 @ SV86 )
= $false )
| ( ( ~ ( sum @ SV42 @ SV75 @ SV86 ) )
= $true )
| ( ( SV18 = SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1025,plain,
! [SV60: $i,SV87: $i,SV43: $i,SV19: $i] :
( ( ( sum @ SV19 @ SV43 @ SV87 )
= $false )
| ( ( ~ ( sum @ SV19 @ SV60 @ SV87 ) )
= $true )
| ( ( SV43 = SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1026,plain,
! [SV76: $i,SV20: $i,SV100: $i,SV61: $i,SV44: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV100 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV100 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV76 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1027,plain,
! [SV88: $i,SV21: $i,SV112: $i,SV77: $i,SV62: $i,SV45: $i] :
( ( ( ! [SY280: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV112 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SY280 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SY280 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1028,plain,
! [SV101: $i,SV78: $i,SV89: $i,SV22: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ! [SY281: $i] :
( ! [SY282: $i,SY283: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SY281 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SY282 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY281 ) @ ( rdnn @ SY282 ) @ ( rdnn @ SY283 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY283 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
| ~ ( rdn_non_zero @ SV78 )
| ~ ( rdn_non_zero @ SV101 )
| ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1029,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV79: $i,SV47: $i] :
( ( ! [SY284: $i,SY285: $i] :
( ! [SY286: $i,SY287: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SY284 ) @ ( rdnn @ SY285 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY284 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY286 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY285 ) @ ( rdnn @ SY286 ) @ ( rdnn @ SY287 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY287 ) @ SV64 @ SV90 @ SV114 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SV90 )
| ~ ( rdn_non_zero @ SV114 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1001]) ).
thf(1030,plain,
! [SV103: $i,SV91: $i,SV65: $i,SV48: $i,SV80: $i,SV24: $i] :
( ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdn @ ( rdnn @ SV91 ) @ SV103 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV91 ) @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1031,plain,
! [SV81: $i,SV92: $i] :
( ( ( less @ SV92 @ SV81 )
= $true )
| ( ( SV92 = SV81 )
= $true )
| ( ( less @ SV81 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1032,plain,
! [SV115: $i] :
( ( ! [SY288: $i] :
( ~ ( less @ SV115 @ SY288 )
| ~ ( less @ SY288 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1033,plain,
! [SV116: $i] :
( ( ! [SY289: $i] :
( ~ ( less @ SV116 @ SY289 )
| ( SY289 != SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1034,plain,
! [SV93: $i,SV82: $i] :
( ( ( less_or_equal @ SV82 @ SV93 )
= $false )
| ( ( ( SV82 = SV93 )
| ( less @ SV82 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1035,plain,
! [SV117: $i] :
( ( ! [SY290: $i] :
( ( SV117 != SY290 )
| ( less_or_equal @ SV117 @ SY290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1036,plain,
! [SV118: $i] :
( ( ! [SY291: $i] :
( ~ ( less @ SV118 @ SY291 )
| ( less_or_equal @ SV118 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1037,plain,
! [SV104: $i,SV94: $i,SV25: $i] :
( ( ( ~ ( difference @ SV25 @ SV94 @ SV104 ) )
= $true )
| ( ( sum @ SV94 @ SV104 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1038,plain,
! [SV25: $i,SV105: $i,SV95: $i] :
( ( ( ~ ( sum @ SV95 @ SV105 @ SV25 ) )
= $true )
| ( ( difference @ SV25 @ SV95 @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1010]) ).
thf(1039,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)],[1013]) ).
thf(1040,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)],[1014]) ).
thf(1041,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)],[1015]) ).
thf(1042,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)],[1017]) ).
thf(1043,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)],[1018]) ).
thf(1044,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)],[1019]) ).
thf(1045,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)],[1020]) ).
thf(1046,plain,
! [SV58: $i,SV40: $i,SV111: $i,SV16: $i] :
( ( ( rdn_translate @ SV16 @ ( rdn_neg @ SV111 ) )
= $false )
| ( ( ! [SY142: $i] :
~ ( rdn_translate @ SV40 @ ( rdn_pos @ SY142 ) ) )
= $true )
| ( ( ~ ( sum @ SV40 @ SV16 @ SV58 ) )
= $true )
| ( ( sum @ SV16 @ SV40 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1047,plain,
! [SV59: $i,SV74: $i,SV41: $i,SV17: $i] :
( ( ( sum @ SV17 @ SV41 @ SV74 )
= $false )
| ( ( sum @ SV17 @ SV41 @ SV59 )
= $false )
| ( ( SV59 = SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1048,plain,
! [SV18: $i,SV86: $i,SV75: $i,SV42: $i] :
( ( ( sum @ SV42 @ SV75 @ SV86 )
= $false )
| ( ( sum @ SV18 @ SV75 @ SV86 )
= $false )
| ( ( SV18 = SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1049,plain,
! [SV43: $i,SV87: $i,SV60: $i,SV19: $i] :
( ( ( sum @ SV19 @ SV60 @ SV87 )
= $false )
| ( ( sum @ SV19 @ SV43 @ SV87 )
= $false )
| ( ( SV43 = SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1050,plain,
! [SV76: $i,SV20: $i,SV100: $i,SV61: $i,SV44: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV100 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV100 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV76 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1051,plain,
! [SV119: $i,SV88: $i,SV21: $i,SV112: $i,SV77: $i,SV62: $i,SV45: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV112 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SV119 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1052,plain,
! [SV101: $i,SV78: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ! [SY292: $i,SY293: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SY292 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SY292 ) @ ( rdnn @ SY293 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY293 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
| ~ ( rdn_non_zero @ SV78 )
| ~ ( rdn_non_zero @ SV101 )
| ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1053,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ! [SY294: $i] :
( ! [SY295: $i,SY296: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SY294 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY295 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SY294 ) @ ( rdnn @ SY295 ) @ ( rdnn @ SY296 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY296 ) @ SV64 @ SV90 @ SV114 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SV90 )
| ~ ( rdn_non_zero @ SV114 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1029]) ).
thf(1054,plain,
! [SV103: $i,SV91: $i,SV65: $i,SV48: $i,SV80: $i,SV24: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdn @ ( rdnn @ SV91 ) @ SV103 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV24 ) @ ( rdn @ ( rdnn @ SV48 ) @ SV65 ) @ ( rdnn @ SV80 ) @ ( rdn @ ( rdnn @ SV91 ) @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1055,plain,
! [SV122: $i,SV115: $i] :
( ( ~ ( less @ SV115 @ SV122 )
| ~ ( less @ SV122 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1056,plain,
! [SV123: $i,SV116: $i] :
( ( ~ ( less @ SV116 @ SV123 )
| ( SV123 != SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1057,plain,
! [SV93: $i,SV82: $i] :
( ( ( SV82 = SV93 )
= $true )
| ( ( less @ SV82 @ SV93 )
= $true )
| ( ( less_or_equal @ SV82 @ SV93 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1058,plain,
! [SV124: $i,SV117: $i] :
( ( ( SV117 != SV124 )
| ( less_or_equal @ SV117 @ SV124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1059,plain,
! [SV125: $i,SV118: $i] :
( ( ~ ( less @ SV118 @ SV125 )
| ( less_or_equal @ SV118 @ SV125 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1060,plain,
! [SV104: $i,SV94: $i,SV25: $i] :
( ( ( difference @ SV25 @ SV94 @ SV104 )
= $false )
| ( ( sum @ SV94 @ SV104 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1061,plain,
! [SV25: $i,SV105: $i,SV95: $i] :
( ( ( sum @ SV95 @ SV105 @ SV25 )
= $false )
| ( ( difference @ SV25 @ SV95 @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1062,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)],[1039]) ).
thf(1063,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)],[1041]) ).
thf(1064,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)],[1042]) ).
thf(1065,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)],[1043]) ).
thf(1066,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)],[1044]) ).
thf(1067,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)],[1045]) ).
thf(1068,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)],[1046]) ).
thf(1069,plain,
! [SV61: $i,SV44: $i,SV76: $i,SV20: $i,SV100: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV100 ) @ ( rdnn @ SV20 ) @ ( rdnn @ SV76 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV100 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV20 ) @ ( rdnn @ SV44 ) @ ( rdnn @ SV61 ) @ ( rdnn @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1070,plain,
! [SV119: $i,SV88: $i,SV21: $i,SV112: $i,SV77: $i,SV62: $i,SV45: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV112 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SV119 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1071,plain,
! [SV101: $i,SV78: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( ! [SY292: $i,SY293: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SY292 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SY292 ) @ ( rdnn @ SY293 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY293 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
| ~ ( rdn_non_zero @ SV78 )
| ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1072,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ! [SY297: $i,SY298: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY297 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY297 ) @ ( rdnn @ SY298 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY298 ) @ SV64 @ SV90 @ SV114 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SV90 )
| ~ ( rdn_non_zero @ SV114 )
| ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1053]) ).
thf(1073,plain,
! [SV122: $i,SV115: $i] :
( ( ( ~ ( less @ SV115 @ SV122 ) )
= $true )
| ( ( ~ ( less @ SV122 @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1074,plain,
! [SV123: $i,SV116: $i] :
( ( ( ~ ( less @ SV116 @ SV123 ) )
= $true )
| ( ( ( SV123 != SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1075,plain,
! [SV124: $i,SV117: $i] :
( ( ( ( SV117 != SV124 ) )
= $true )
| ( ( less_or_equal @ SV117 @ SV124 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1076,plain,
! [SV125: $i,SV118: $i] :
( ( ( ~ ( less @ SV118 @ SV125 ) )
= $true )
| ( ( less_or_equal @ SV118 @ SV125 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1077,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)],[1062]) ).
thf(1078,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)],[1063]) ).
thf(1079,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)],[1064]) ).
thf(1080,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)],[1065]) ).
thf(1081,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)],[1066]) ).
thf(1082,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)],[1067]) ).
thf(1083,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)],[1068]) ).
thf(1084,plain,
! [SV119: $i,SV88: $i,SV21: $i,SV112: $i,SV77: $i,SV62: $i,SV45: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV112 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SV119 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1085,plain,
! [SV101: $i,SV78: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( ! [SY292: $i,SY293: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SY292 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SY292 ) @ ( rdnn @ SY293 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY293 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
| ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1086,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ! [SY297: $i,SY298: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY297 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY297 ) @ ( rdnn @ SY298 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY298 ) @ SV64 @ SV90 @ SV114 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SV90 )
| ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1087,plain,
! [SV122: $i,SV115: $i] :
( ( ( less @ SV115 @ SV122 )
= $false )
| ( ( ~ ( less @ SV122 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1088,plain,
! [SV123: $i,SV116: $i] :
( ( ( less @ SV116 @ SV123 )
= $false )
| ( ( ( SV123 != SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1089,plain,
! [SV124: $i,SV117: $i] :
( ( ( SV117 = SV124 )
= $false )
| ( ( less_or_equal @ SV117 @ SV124 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1090,plain,
! [SV125: $i,SV118: $i] :
( ( ( less @ SV118 @ SV125 )
= $false )
| ( ( less_or_equal @ SV118 @ SV125 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1091,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)],[1079]) ).
thf(1092,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)],[1080]) ).
thf(1093,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)],[1081]) ).
thf(1094,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)],[1082]) ).
thf(1095,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)],[1083]) ).
thf(1096,plain,
! [SV119: $i,SV88: $i,SV21: $i,SV112: $i,SV77: $i,SV62: $i,SV45: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV112 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SV119 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1097,plain,
! [SV101: $i,SV78: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( ! [SY292: $i,SY293: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SY292 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SY292 ) @ ( rdnn @ SY293 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY293 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1098,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ! [SY297: $i,SY298: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY297 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY297 ) @ ( rdnn @ SY298 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY298 ) @ SV64 @ SV90 @ SV114 ) )
| ~ ( rdn_non_zero @ SV64 )
| ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1099,plain,
! [SV115: $i,SV122: $i] :
( ( ( less @ SV122 @ SV115 )
= $false )
| ( ( less @ SV115 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1100,plain,
! [SV116: $i,SV123: $i] :
( ( ( SV123 = SV116 )
= $false )
| ( ( less @ SV116 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1101,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)],[1091]) ).
thf(1102,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)],[1092]) ).
thf(1103,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)],[1093]) ).
thf(1104,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)],[1094]) ).
thf(1105,plain,
! [SV112: $i,SV62: $i,SV45: $i,SV119: $i,SV88: $i,SV21: $i,SV77: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SV119 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV112 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1106,plain,
! [SV101: $i,SV78: $i,SV128: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( ! [SY299: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SY299 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY299 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1107,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ! [SY297: $i,SY298: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY297 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY297 ) @ ( rdnn @ SY298 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY298 ) @ SV64 @ SV90 @ SV114 ) )
| ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1108,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)],[1101]) ).
thf(1109,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)],[1102]) ).
thf(1110,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)],[1103]) ).
thf(1111,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)],[1104]) ).
thf(1112,plain,
! [SV88: $i,SV21: $i,SV77: $i,SV62: $i,SV45: $i,SV119: $i,SV112: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV112 ) @ ( rdnn @ SV119 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdnn @ SV77 ) @ ( rdnn @ SV112 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV77 ) @ ( rdnn @ SV21 ) @ ( rdnn @ SV88 ) @ ( rdnn @ SV119 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV21 ) @ ( rdnn @ SV45 ) @ ( rdnn @ SV62 ) @ ( rdn @ ( rdnn @ SV88 ) @ ( rdnn @ n1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1113,plain,
! [SV101: $i,SV78: $i,SV129: $i,SV128: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1114,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ! [SY297: $i,SY298: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SY297 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SY297 ) @ ( rdnn @ SY298 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY298 ) @ SV64 @ SV90 @ SV114 ) ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1115,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)],[1108]) ).
thf(1116,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)],[1109]) ).
thf(1117,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)],[1110]) ).
thf(1118,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)],[1111]) ).
thf(1119,plain,
! [SV101: $i,SV78: $i,SV129: $i,SV128: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1113]) ).
thf(1120,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV130: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ! [SY300: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SY300 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SY300 ) @ SV64 @ SV90 @ SV114 ) ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1121,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)],[1117]) ).
thf(1122,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)],[1118]) ).
thf(1123,plain,
! [SV101: $i,SV78: $i,SV129: $i,SV128: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1124,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV131: $i,SV130: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1120]) ).
thf(1125,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)],[1121]) ).
thf(1126,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)],[1122]) ).
thf(1127,plain,
! [SV101: $i,SV78: $i,SV129: $i,SV128: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1128,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV131: $i,SV130: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1129,plain,
! [SV101: $i,SV78: $i,SV129: $i,SV128: $i,SV89: $i,SV22: $i,SV120: $i,SV113: $i,SV63: $i,SV46: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1130,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV131: $i,SV130: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
| ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1131,plain,
! [SV101: $i,SV78: $i,SV129: $i,SV120: $i,SV63: $i,SV46: $i,SV128: $i,SV89: $i,SV22: $i,SV113: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( 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 ) @ SV78 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1132,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV131: $i,SV130: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( ~ ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1133,plain,
! [SV101: $i,SV78: $i,SV89: $i,SV22: $i,SV113: $i,SV63: $i,SV46: $i,SV129: $i,SV128: $i,SV120: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1134,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV131: $i,SV130: $i,SV102: $i,SV23: $i,SV127: $i,SV121: $i,SV79: $i,SV47: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) ) )
= $true )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1135,plain,
! [SV120: $i,SV63: $i,SV46: $i,SV128: $i,SV89: $i,SV22: $i,SV113: $i,SV101: $i,SV78: $i,SV129: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( ~ ( rdn_non_zero @ SV78 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1136,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV131: $i,SV127: $i,SV79: $i,SV47: $i,SV130: $i,SV102: $i,SV23: $i,SV121: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( ~ ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) ) )
= $true )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1137,plain,
! [SV101: $i,SV89: $i,SV22: $i,SV113: $i,SV63: $i,SV46: $i,SV129: $i,SV128: $i,SV120: $i,SV78: $i] :
( ( ( rdn_non_zero @ SV78 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 )
= $false )
| ( ( ~ ( rdn_non_zero @ SV101 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1138,plain,
! [SV114: $i,SV90: $i,SV64: $i,SV102: $i,SV23: $i,SV121: $i,SV79: $i,SV47: $i,SV131: $i,SV130: $i,SV127: $i] :
( ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( ~ ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1139,plain,
! [SV120: $i,SV63: $i,SV46: $i,SV128: $i,SV89: $i,SV22: $i,SV113: $i,SV78: $i,SV129: $i,SV101: $i] :
( ( ( rdn_non_zero @ SV101 )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) @ SV78 @ SV101 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV113 ) @ ( rdnn @ SV22 ) @ ( rdnn @ SV89 ) @ ( rdnn @ SV128 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV46 ) @ ( rdnn @ SV63 ) @ ( rdnn @ SV113 ) @ ( rdnn @ SV120 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV120 ) @ ( rdnn @ SV128 ) @ ( rdnn @ SV129 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_non_zero @ SV78 )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV22 ) @ ( rdnn @ SV46 ) @ ( rdn @ ( rdnn @ SV63 ) @ SV78 ) @ ( rdn @ ( rdnn @ SV89 ) @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1140,plain,
! [SV127: $i,SV79: $i,SV47: $i,SV130: $i,SV102: $i,SV23: $i,SV121: $i,SV114: $i,SV90: $i,SV64: $i,SV131: $i] :
( ( ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( ~ ( rdn_non_zero @ SV64 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1141,plain,
! [SV114: $i,SV90: $i,SV102: $i,SV23: $i,SV121: $i,SV79: $i,SV47: $i,SV131: $i,SV130: $i,SV127: $i,SV64: $i] :
( ( ( rdn_non_zero @ SV64 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 )
= $false )
| ( ( ~ ( rdn_non_zero @ SV90 ) )
= $true )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1142,plain,
! [SV127: $i,SV79: $i,SV47: $i,SV130: $i,SV102: $i,SV23: $i,SV121: $i,SV114: $i,SV64: $i,SV131: $i,SV90: $i] :
( ( ( rdn_non_zero @ SV90 )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_non_zero @ SV64 )
= $false )
| ( ( ~ ( rdn_non_zero @ SV114 ) )
= $true )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1143,plain,
! [SV90: $i,SV102: $i,SV23: $i,SV121: $i,SV79: $i,SV47: $i,SV131: $i,SV130: $i,SV127: $i,SV64: $i,SV114: $i] :
( ( ( rdn_non_zero @ SV114 )
= $false )
| ( ( rdn_non_zero @ SV64 )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV127 ) @ ( rdnn @ SV130 ) @ ( rdnn @ SV131 ) @ ( rdnn @ n0 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV47 ) @ ( rdnn @ SV79 ) @ ( rdnn @ SV121 ) @ ( rdnn @ SV127 ) )
= $false )
| ( ( rdn_digit_add @ ( rdnn @ SV121 ) @ ( rdnn @ SV23 ) @ ( rdnn @ SV102 ) @ ( rdnn @ SV130 ) )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV131 ) @ SV64 @ SV90 @ SV114 )
= $false )
| ( ( rdn_non_zero @ SV90 )
= $false )
| ( ( rdn_add_with_carry @ ( rdnn @ SV23 ) @ ( rdn @ ( rdnn @ SV47 ) @ SV64 ) @ ( rdn @ ( rdnn @ SV79 ) @ SV90 ) @ ( rdn @ ( rdnn @ SV102 ) @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1144,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[432,1143,1139,1126,1125,1116,1115,1112,1100,1099,1095,1090,1089,1078,1077,1069,1061,1060,1057,1054,1049,1048,1047,1040,1031,1021,1016,1012,1011,983,955,927,897,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,814,813,812,811,810,809,808,807,806,805,804,803,802,801,800,799,798,797,796,795,794,793,792,791,790,789,788,787,786,785,784,783,782,781,780,779,778,777,776,775,774,773,772,771,770,769,768,767,766,765,764,763,762,761,760,759,758,757,756,755,754,753,752,751,750,749,748,747,746,745,744,743,742,741,740,739,738,737,736,735,734,733,705,704,703,702,701,700,699,698,697,696,695,694,693,692,691,690,689,688,687,686,685,684,683,682,681,680,679,678,677,676,675,674,673,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,619,618,617,616,615,614,613,612,611,610,609,608,607,606,605,604,603,602,601,600,599,598,597,596,595,594,593,592,591,590,589,588,587,586,585,584,583,582,581,580,579,578,577,576,575,574,573,572,571,570,569,568,567,566,565,564,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,527,526,525,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,485,484,483,482,481,480,479,478,477,476,475,474,473,472,471,470,469,468,467,466,465,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,439,438,437,436,435,434,433]) ).
thf(1145,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM298+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 01:45:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.42 ..
% 0.41/0.61
% 0.41/0.61 No.of.Axioms: 401
% 0.41/0.61
% 0.41/0.61 Length.of.Defs: 0
% 0.41/0.61
% 0.41/0.61 Contains.Choice.Funs: false
% 0.51/0.66 ...........
% 0.51/0.68 (rf:2,axioms:13,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).........................................................................................ignored arguments false
% 76.21/76.42 ...
% 76.38/76.54 (rf:0,axioms:401,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,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).............................................................
% 76.88/77.22
% 76.88/77.22 ********************************
% 76.88/77.22 * All subproblems solved! *
% 76.88/77.22 ********************************
% 76.88/77.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:401,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1144,loop_count:0,foatp_calls:1,translation:fof_full)
% 77.24/77.43
% 77.24/77.43 %**** Beginning of derivation protocol ****
% 77.24/77.43 % SZS output start CNFRefutation
% See solution above
% 77.27/77.44
% 77.27/77.44 %**** End of derivation protocol ****
% 77.27/77.44 %**** no. of clauses in derivation: 1145 ****
% 77.27/77.44 %**** clause counter: 1144 ****
% 77.27/77.44
% 77.27/77.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:401,ps:0,u:1,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:false,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1144,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------