TSTP Solution File: NUM343+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:40:20 EDT 2023
% Result : Theorem 8.18s 2.86s
% Output : Refutation 9.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 672
% Syntax : Number of formulae : 1076 ( 749 unt; 270 typ; 0 def)
% Number of atoms : 962 ( 12 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 6487 ( 8 ~; 3 |; 93 &;6323 @)
% ( 3 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 272 ( 270 usr; 257 con; 0-4 aty)
% Number of variables : 245 ( 0 ^; 242 !; 3 ?; 245 :)
% Comments :
%------------------------------------------------------------------------------
thf(less_type,type,
less: $i > $i > $o ).
thf(nn1_type,type,
nn1: $i ).
thf(n1_type,type,
n1: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $o ).
thf(n21_type,type,
n21: $i ).
thf(rdn_translate_type,type,
rdn_translate: $i > $i > $o ).
thf(n5_type,type,
n5: $i ).
thf(rdn_pos_type,type,
rdn_pos: $i > $i ).
thf(rdnn_type,type,
rdnn: $i > $i ).
thf(nn4_type,type,
nn4: $i ).
thf(rdn_neg_type,type,
rdn_neg: $i > $i ).
thf(n4_type,type,
n4: $i ).
thf(n24_type,type,
n24: $i ).
thf(rdn_type,type,
rdn: $i > $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(nn49_type,type,
nn49: $i ).
thf(n9_type,type,
n9: $i ).
thf(n63_type,type,
n63: $i ).
thf(n3_type,type,
n3: $i ).
thf(n6_type,type,
n6: $i ).
thf(n50_type,type,
n50: $i ).
thf(n0_type,type,
n0: $i ).
thf(rdn_digit_add_type,type,
rdn_digit_add: $i > $i > $i > $i > $o ).
thf(n8_type,type,
n8: $i ).
thf(nn29_type,type,
nn29: $i ).
thf(nn86_type,type,
nn86: $i ).
thf(nn89_type,type,
nn89: $i ).
thf(rdn_add_with_carry_type,type,
rdn_add_with_carry: $i > $i > $i > $i > $o ).
thf(rdn_non_zero_digit_type,type,
rdn_non_zero_digit: $i > $o ).
thf(nn72_type,type,
nn72: $i ).
thf(n7_type,type,
n7: $i ).
thf(n93_type,type,
n93: $i ).
thf(n80_type,type,
n80: $i ).
thf(rdn_positive_less_type,type,
rdn_positive_less: $i > $i > $o ).
thf(nn87_type,type,
nn87: $i ).
thf(nn36_type,type,
nn36: $i ).
thf(nn35_type,type,
nn35: $i ).
thf(nn33_type,type,
nn33: $i ).
thf(n78_type,type,
n78: $i ).
thf(n26_type,type,
n26: $i ).
thf(nn79_type,type,
nn79: $i ).
thf(n69_type,type,
n69: $i ).
thf(n75_type,type,
n75: $i ).
thf(nn78_type,type,
nn78: $i ).
thf(nn40_type,type,
nn40: $i ).
thf(nn68_type,type,
nn68: $i ).
thf(n87_type,type,
n87: $i ).
thf(n58_type,type,
n58: $i ).
thf(nn55_type,type,
nn55: $i ).
thf(nn54_type,type,
nn54: $i ).
thf(nn94_type,type,
nn94: $i ).
thf(nn23_type,type,
nn23: $i ).
thf(n60_type,type,
n60: $i ).
thf(rdn_non_zero_type,type,
rdn_non_zero: $i > $o ).
thf(nn59_type,type,
nn59: $i ).
thf(n95_type,type,
n95: $i ).
thf(n22_type,type,
n22: $i ).
thf(nn83_type,type,
nn83: $i ).
thf(nn37_type,type,
nn37: $i ).
thf(nn99_type,type,
nn99: $i ).
thf(n29_type,type,
n29: $i ).
thf(n66_type,type,
n66: $i ).
thf(n32_type,type,
n32: $i ).
thf(nn73_type,type,
nn73: $i ).
thf(nn95_type,type,
nn95: $i ).
thf(nn65_type,type,
nn65: $i ).
thf(n98_type,type,
n98: $i ).
thf(nn30_type,type,
nn30: $i ).
thf(nn38_type,type,
nn38: $i ).
thf(n25_type,type,
n25: $i ).
thf(n30_type,type,
n30: $i ).
thf(nn27_type,type,
nn27: $i ).
thf(nn32_type,type,
nn32: $i ).
thf(nn66_type,type,
nn66: $i ).
thf(n36_type,type,
n36: $i ).
thf(n28_type,type,
n28: $i ).
thf(nn22_type,type,
nn22: $i ).
thf(n43_type,type,
n43: $i ).
thf(nn46_type,type,
nn46: $i ).
thf(n53_type,type,
n53: $i ).
thf(n90_type,type,
n90: $i ).
thf(nn3_type,type,
nn3: $i ).
thf(n42_type,type,
n42: $i ).
thf(nn48_type,type,
nn48: $i ).
thf(nn58_type,type,
nn58: $i ).
thf(n20_type,type,
n20: $i ).
thf(n84_type,type,
n84: $i ).
thf(n35_type,type,
n35: $i ).
thf(nn8_type,type,
nn8: $i ).
thf(nn7_type,type,
nn7: $i ).
thf(nn97_type,type,
nn97: $i ).
thf(n72_type,type,
n72: $i ).
thf(n92_type,type,
n92: $i ).
thf(nn75_type,type,
nn75: $i ).
thf(nn9_type,type,
nn9: $i ).
thf(nn47_type,type,
nn47: $i ).
thf(n55_type,type,
n55: $i ).
thf(n97_type,type,
n97: $i ).
thf(n82_type,type,
n82: $i ).
thf(nn45_type,type,
nn45: $i ).
thf(n88_type,type,
n88: $i ).
thf(n27_type,type,
n27: $i ).
thf(nn96_type,type,
nn96: $i ).
thf(nn62_type,type,
nn62: $i ).
thf(nn24_type,type,
nn24: $i ).
thf(nn63_type,type,
nn63: $i ).
thf(n44_type,type,
n44: $i ).
thf(nn39_type,type,
nn39: $i ).
thf(n49_type,type,
n49: $i ).
thf(nn57_type,type,
nn57: $i ).
thf(n46_type,type,
n46: $i ).
thf(n52_type,type,
n52: $i ).
thf(n85_type,type,
n85: $i ).
thf(n67_type,type,
n67: $i ).
thf(nn67_type,type,
nn67: $i ).
thf(n59_type,type,
n59: $i ).
thf(nn69_type,type,
nn69: $i ).
thf(n34_type,type,
n34: $i ).
thf(nn98_type,type,
nn98: $i ).
thf(n47_type,type,
n47: $i ).
thf(n68_type,type,
n68: $i ).
thf(nn44_type,type,
nn44: $i ).
thf(nn64_type,type,
nn64: $i ).
thf(nn60_type,type,
nn60: $i ).
thf(n64_type,type,
n64: $i ).
thf(n54_type,type,
n54: $i ).
thf(n77_type,type,
n77: $i ).
thf(n94_type,type,
n94: $i ).
thf(n76_type,type,
n76: $i ).
thf(nn88_type,type,
nn88: $i ).
thf(nn28_type,type,
nn28: $i ).
thf(nn20_type,type,
nn20: $i ).
thf(nn92_type,type,
nn92: $i ).
thf(n99_type,type,
n99: $i ).
thf(n45_type,type,
n45: $i ).
thf(n83_type,type,
n83: $i ).
thf(n56_type,type,
n56: $i ).
thf(nn52_type,type,
nn52: $i ).
thf(nn85_type,type,
nn85: $i ).
thf(n62_type,type,
n62: $i ).
thf(nn6_type,type,
nn6: $i ).
thf(nn34_type,type,
nn34: $i ).
thf(nn42_type,type,
nn42: $i ).
thf(nn82_type,type,
nn82: $i ).
thf(nn84_type,type,
nn84: $i ).
thf(n70_type,type,
n70: $i ).
thf(n33_type,type,
n33: $i ).
thf(nn80_type,type,
nn80: $i ).
thf(n23_type,type,
n23: $i ).
thf(n38_type,type,
n38: $i ).
thf(nn25_type,type,
nn25: $i ).
thf(nn50_type,type,
nn50: $i ).
thf(n57_type,type,
n57: $i ).
thf(nn93_type,type,
nn93: $i ).
thf(n74_type,type,
n74: $i ).
thf(n79_type,type,
n79: $i ).
thf(nn53_type,type,
nn53: $i ).
thf(n73_type,type,
n73: $i ).
thf(n86_type,type,
n86: $i ).
thf(nn74_type,type,
nn74: $i ).
thf(n40_type,type,
n40: $i ).
thf(n65_type,type,
n65: $i ).
thf(nn26_type,type,
nn26: $i ).
thf(n39_type,type,
n39: $i ).
thf(nn5_type,type,
nn5: $i ).
thf(nn76_type,type,
nn76: $i ).
thf(nn77_type,type,
nn77: $i ).
thf(n37_type,type,
n37: $i ).
thf(nn2_type,type,
nn2: $i ).
thf(nn43_type,type,
nn43: $i ).
thf(n96_type,type,
n96: $i ).
thf(nn90_type,type,
nn90: $i ).
thf(nn56_type,type,
nn56: $i ).
thf(nn70_type,type,
nn70: $i ).
thf(n48_type,type,
n48: $i ).
thf(n89_type,type,
n89: $i ).
thf(n121_type,type,
n121: $i ).
thf(n14_type,type,
n14: $i ).
thf(n51_type,type,
n51: $i ).
thf(nn100_type,type,
nn100: $i ).
thf(n116_type,type,
n116: $i ).
thf(n107_type,type,
n107: $i ).
thf(nn116_type,type,
nn116: $i ).
thf(nn106_type,type,
nn106: $i ).
thf(nn101_type,type,
nn101: $i ).
thf(n41_type,type,
n41: $i ).
thf(nn41_type,type,
nn41: $i ).
thf(nn121_type,type,
nn121: $i ).
thf(nn112_type,type,
nn112: $i ).
thf(nn105_type,type,
nn105: $i ).
thf(n104_type,type,
n104: $i ).
thf(nn71_type,type,
nn71: $i ).
thf(n120_type,type,
n120: $i ).
thf(n126_type,type,
n126: $i ).
thf(n101_type,type,
n101: $i ).
thf(nn114_type,type,
nn114: $i ).
thf(n61_type,type,
n61: $i ).
thf(n110_type,type,
n110: $i ).
thf(n10_type,type,
n10: $i ).
thf(n16_type,type,
n16: $i ).
thf(n124_type,type,
n124: $i ).
thf(nn81_type,type,
nn81: $i ).
thf(n112_type,type,
n112: $i ).
thf(nn122_type,type,
nn122: $i ).
thf(nn118_type,type,
nn118: $i ).
thf(n118_type,type,
n118: $i ).
thf(nn117_type,type,
nn117: $i ).
thf(n102_type,type,
n102: $i ).
thf(nn16_type,type,
nn16: $i ).
thf(nn127_type,type,
nn127: $i ).
thf(n111_type,type,
n111: $i ).
thf(nn124_type,type,
nn124: $i ).
thf(nn12_type,type,
nn12: $i ).
thf(n122_type,type,
n122: $i ).
thf(nn31_type,type,
nn31: $i ).
thf(less_or_equal_type,type,
less_or_equal: $i > $i > $o ).
thf(nn113_type,type,
nn113: $i ).
thf(n71_type,type,
n71: $i ).
thf(nn125_type,type,
nn125: $i ).
thf(n113_type,type,
n113: $i ).
thf(nn119_type,type,
nn119: $i ).
thf(n17_type,type,
n17: $i ).
thf(n19_type,type,
n19: $i ).
thf(n103_type,type,
n103: $i ).
thf(nn110_type,type,
nn110: $i ).
thf(nn108_type,type,
nn108: $i ).
thf(nn10_type,type,
nn10: $i ).
thf(n115_type,type,
n115: $i ).
thf(difference_type,type,
difference: $i > $i > $i > $o ).
thf(nn109_type,type,
nn109: $i ).
thf(n114_type,type,
n114: $i ).
thf(nn103_type,type,
nn103: $i ).
thf(nn107_type,type,
nn107: $i ).
thf(nn17_type,type,
nn17: $i ).
thf(n108_type,type,
n108: $i ).
thf(nn18_type,type,
nn18: $i ).
thf(n18_type,type,
n18: $i ).
thf(n125_type,type,
n125: $i ).
thf(nn128_type,type,
nn128: $i ).
thf(n105_type,type,
n105: $i ).
thf(n15_type,type,
n15: $i ).
thf(nn21_type,type,
nn21: $i ).
thf(nn102_type,type,
nn102: $i ).
thf(nn15_type,type,
nn15: $i ).
thf(nn104_type,type,
nn104: $i ).
thf(nn126_type,type,
nn126: $i ).
thf(n11_type,type,
n11: $i ).
thf(nn14_type,type,
nn14: $i ).
thf(n117_type,type,
n117: $i ).
thf(nn111_type,type,
nn111: $i ).
thf(n106_type,type,
n106: $i ).
thf(n13_type,type,
n13: $i ).
thf(n12_type,type,
n12: $i ).
thf(n100_type,type,
n100: $i ).
thf(nn51_type,type,
nn51: $i ).
thf(n109_type,type,
n109: $i ).
thf(n81_type,type,
n81: $i ).
thf(n91_type,type,
n91: $i ).
thf(nn115_type,type,
nn115: $i ).
thf(nn61_type,type,
nn61: $i ).
thf(n31_type,type,
n31: $i ).
thf(n127_type,type,
n127: $i ).
thf(n119_type,type,
n119: $i ).
thf(nn11_type,type,
nn11: $i ).
thf(nn91_type,type,
nn91: $i ).
thf(nn123_type,type,
nn123: $i ).
thf(nn120_type,type,
nn120: $i ).
thf(nn13_type,type,
nn13: $i ).
thf(n123_type,type,
n123: $i ).
thf(nn19_type,type,
nn19: $i ).
thf(224,axiom,
rdn_translate @ n48 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn48) ).
thf(645,plain,
rdn_translate @ n48 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(350,axiom,
rdn_translate @ n15 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn15) ).
thf(809,plain,
rdn_translate @ n15 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(208,axiom,
rdn_translate @ nn76 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn76) ).
thf(629,plain,
rdn_translate @ nn76 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(317,axiom,
rdn_translate @ nn108 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn108) ).
thf(760,plain,
rdn_translate @ nn108 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(69,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(479,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(207,axiom,
rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn5) ).
thf(628,plain,
rdn_translate @ nn5 @ ( rdn_neg @ ( rdnn @ n5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(103,axiom,
rdn_translate @ n72 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn72) ).
thf(518,plain,
rdn_translate @ n72 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(58,axiom,
rdn_translate @ nn73 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn73) ).
thf(468,plain,
rdn_translate @ nn73 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(138,axiom,
rdn_translate @ n34 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn34) ).
thf(555,plain,
rdn_translate @ n34 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(242,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(666,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(71,axiom,
rdn_translate @ nn66 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn66) ).
thf(481,plain,
rdn_translate @ nn66 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(255,axiom,
rdn_translate @ nn71 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn71) ).
thf(683,plain,
rdn_translate @ nn71 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(290,axiom,
rdn_translate @ nn127 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn127) ).
thf(730,plain,
rdn_translate @ nn127 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(300,axiom,
rdn_translate @ n71 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn71) ).
thf(741,plain,
rdn_translate @ n71 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(177,axiom,
rdn_translate @ nn82 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn82) ).
thf(597,plain,
rdn_translate @ nn82 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(395,axiom,
rdn_translate @ nn123 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn123) ).
thf(861,plain,
rdn_translate @ nn123 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(108,axiom,
rdn_translate @ nn9 @ ( rdn_neg @ ( rdnn @ n9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn9) ).
thf(523,plain,
rdn_translate @ nn9 @ ( rdn_neg @ ( rdnn @ n9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(162,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(582,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(319,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( rdn_translate @ A @ ( rdn_neg @ C ) )
& ( rdn_translate @ B @ ( rdn_neg @ D ) )
& ( rdn_positive_less @ D @ C ) )
=> ( less @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
thf(762,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( rdn_translate @ A @ ( rdn_neg @ C ) )
& ( rdn_translate @ B @ ( rdn_neg @ D ) )
& ( rdn_positive_less @ D @ C ) )
=> ( less @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(403,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(873,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(40,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(449,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(31,axiom,
rdn_translate @ n75 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn75) ).
thf(440,plain,
rdn_translate @ n75 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(234,axiom,
rdn_translate @ nn106 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn106) ).
thf(655,plain,
rdn_translate @ nn106 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(98,axiom,
rdn_translate @ nn7 @ ( rdn_neg @ ( rdnn @ n7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn7) ).
thf(511,plain,
rdn_translate @ nn7 @ ( rdn_neg @ ( rdnn @ n7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(193,axiom,
rdn_translate @ nn93 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn93) ).
thf(614,plain,
rdn_translate @ nn93 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(249,axiom,
rdn_translate @ nn112 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn112) ).
thf(677,plain,
rdn_translate @ nn112 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(117,axiom,
rdn_translate @ nn96 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn96) ).
thf(533,plain,
rdn_translate @ nn96 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(133,axiom,
rdn_translate @ nn67 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn67) ).
thf(550,plain,
rdn_translate @ nn67 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(87,axiom,
rdn_translate @ nn48 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn48) ).
thf(500,plain,
rdn_translate @ nn48 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(338,axiom,
rdn_translate @ n108 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn108) ).
thf(797,plain,
rdn_translate @ n108 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(279,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(715,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(62,axiom,
rdn_translate @ nn30 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn30) ).
thf(472,plain,
rdn_translate @ nn30 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(355,axiom,
rdn_translate @ nn15 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn15) ).
thf(814,plain,
rdn_translate @ nn15 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(270,axiom,
rdn_translate @ nn81 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn81) ).
thf(698,plain,
rdn_translate @ nn81 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(306,axiom,
rdn_translate @ n113 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn113) ).
thf(747,plain,
rdn_translate @ n113 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(122,axiom,
! [A: $i,B: $i] :
( ( rdn_non_zero @ B )
=> ( rdn_non_zero @ ( rdn @ ( rdnn @ A ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_structure) ).
thf(538,plain,
! [A: $i,B: $i] :
( ( rdn_non_zero @ B )
=> ( rdn_non_zero @ ( rdn @ ( rdnn @ A ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(331,axiom,
rdn_translate @ n114 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn114) ).
thf(782,plain,
rdn_translate @ n114 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(148,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( rdn_digit_add @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdnn @ G ) @ ( rdnn @ H ) )
& ( rdn_digit_add @ ( rdnn @ G ) @ ( rdnn @ A ) @ ( rdnn @ E ) @ ( rdnn @ I ) )
& ( rdn_digit_add @ ( rdnn @ H ) @ ( rdnn @ I ) @ ( rdnn @ J ) @ ( rdnn @ n0 ) )
& ( rdn_add_with_carry @ ( rdnn @ J ) @ ( rdnn @ n0 ) @ D @ F )
& ( rdn_non_zero @ D )
& ( rdn_non_zero @ F ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdnn @ B ) @ ( rdn @ ( rdnn @ C ) @ D ) @ ( rdn @ ( rdnn @ E ) @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_rdn_rdn) ).
thf(565,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( rdn_digit_add @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdnn @ G ) @ ( rdnn @ H ) )
& ( rdn_digit_add @ ( rdnn @ G ) @ ( rdnn @ A ) @ ( rdnn @ E ) @ ( rdnn @ I ) )
& ( rdn_digit_add @ ( rdnn @ H ) @ ( rdnn @ I ) @ ( rdnn @ J ) @ ( rdnn @ n0 ) )
& ( rdn_add_with_carry @ ( rdnn @ J ) @ ( rdnn @ n0 ) @ D @ F )
& ( rdn_non_zero @ D )
& ( rdn_non_zero @ F ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdnn @ B ) @ ( rdn @ ( rdnn @ C ) @ D ) @ ( rdn @ ( rdnn @ E ) @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(27,axiom,
rdn_translate @ n78 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn78) ).
thf(436,plain,
rdn_translate @ n78 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(230,axiom,
rdn_translate @ nn100 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn100) ).
thf(651,plain,
rdn_translate @ nn100 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(370,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(829,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(1,conjecture,
? [A: $i] :
( ( ( less @ nn1 @ A )
& ( less @ A @ n1 ) )
=> ( sum @ n21 @ A @ n21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_something_n0_samething) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( ( less @ nn1 @ A )
& ( less @ A @ n1 ) )
=> ( sum @ n21 @ A @ n21 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(404,plain,
~ ? [A: $i] :
( ( ( less @ nn1 @ A )
& ( less @ A @ n1 ) )
=> ( sum @ n21 @ A @ n21 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(382,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(841,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(9,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(417,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(286,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(724,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(151,axiom,
rdn_translate @ n77 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn77) ).
thf(570,plain,
rdn_translate @ n77 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(281,axiom,
rdn_translate @ n118 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn118) ).
thf(719,plain,
rdn_translate @ n118 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(334,axiom,
rdn_non_zero_digit @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
thf(785,plain,
rdn_non_zero_digit @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(91,axiom,
rdn_translate @ n84 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn84) ).
thf(504,plain,
rdn_translate @ n84 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(343,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(802,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(167,axiom,
rdn_translate @ nn52 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn52) ).
thf(587,plain,
rdn_translate @ nn52 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(198,axiom,
rdn_translate @ n73 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn73) ).
thf(619,plain,
rdn_translate @ n73 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(379,axiom,
rdn_translate @ n81 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn81) ).
thf(838,plain,
rdn_translate @ n81 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(274,axiom,
rdn_translate @ nn122 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn122) ).
thf(702,plain,
rdn_translate @ nn122 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(310,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(751,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(125,axiom,
rdn_translate @ n49 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn49) ).
thf(542,plain,
rdn_translate @ n49 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(50,axiom,
rdn_translate @ n22 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn22) ).
thf(460,plain,
rdn_translate @ n22 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(358,axiom,
rdn_translate @ nn126 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn126) ).
thf(817,plain,
rdn_translate @ nn126 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(142,axiom,
rdn_non_zero_digit @ ( rdnn @ n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit8) ).
thf(559,plain,
rdn_non_zero_digit @ ( rdnn @ n8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(186,axiom,
rdn_translate @ n38 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn38) ).
thf(606,plain,
rdn_translate @ n38 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(323,axiom,
rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn21) ).
thf(770,plain,
rdn_translate @ n21 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(8,axiom,
rdn_translate @ n50 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn50) ).
thf(416,plain,
rdn_translate @ n50 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(39,axiom,
rdn_translate @ n58 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn58) ).
thf(448,plain,
rdn_translate @ n58 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(217,axiom,
rdn_translate @ nn43 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn43) ).
thf(638,plain,
rdn_translate @ nn43 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(389,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ C ) )
& ( rdn_translate @ B @ ( rdn_neg @ C ) ) )
=> ( sum @ A @ B @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).
thf(853,plain,
! [A: $i,B: $i,C: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ C ) )
& ( rdn_translate @ B @ ( rdn_neg @ C ) ) )
=> ( sum @ A @ B @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(13,axiom,
rdn_translate @ nn86 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn86) ).
thf(421,plain,
rdn_translate @ nn86 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(402,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( rdn_translate @ A @ ( rdn_neg @ D ) )
& ( rdn_translate @ B @ ( rdn_neg @ E ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ D @ E @ F )
& ( rdn_translate @ C @ ( rdn_neg @ F ) ) )
=> ( sum @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_neg_neg) ).
thf(870,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( rdn_translate @ A @ ( rdn_neg @ D ) )
& ( rdn_translate @ B @ ( rdn_neg @ E ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ D @ E @ F )
& ( rdn_translate @ C @ ( rdn_neg @ F ) ) )
=> ( sum @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(65,axiom,
rdn_translate @ n25 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn25) ).
thf(475,plain,
rdn_translate @ n25 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(80,axiom,
rdn_translate @ n90 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn90) ).
thf(492,plain,
rdn_translate @ n90 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(313,axiom,
rdn_translate @ n19 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn19) ).
thf(756,plain,
rdn_translate @ n19 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(171,axiom,
rdn_translate @ n62 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn62) ).
thf(591,plain,
rdn_translate @ n62 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(34,axiom,
rdn_translate @ nn40 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn40) ).
thf(443,plain,
rdn_translate @ nn40 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(202,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(623,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(225,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(646,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(375,axiom,
rdn_translate @ n100 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn100) ).
thf(834,plain,
rdn_translate @ n100 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(101,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(514,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(154,axiom,
rdn_translate @ n76 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn76) ).
thf(574,plain,
rdn_translate @ n76 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(347,axiom,
rdn_translate @ nn128 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn128) ).
thf(806,plain,
rdn_translate @ nn128 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(362,axiom,
rdn_translate @ nn14 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn14) ).
thf(821,plain,
rdn_translate @ nn14 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(70,axiom,
rdn_translate @ nn32 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn32) ).
thf(480,plain,
rdn_translate @ nn32 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(259,axiom,
rdn_translate @ n126 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn126) ).
thf(687,plain,
rdn_translate @ n126 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(213,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(634,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(264,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(692,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(294,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(734,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(400,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( sum @ A @ B @ C )
& ( sum @ A @ B @ D ) )
=> ( C = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_sum) ).
thf(866,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( sum @ A @ B @ C )
& ( sum @ A @ B @ D ) )
=> ( C = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(44,axiom,
rdn_translate @ nn94 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn94) ).
thf(453,plain,
rdn_translate @ nn94 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(327,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(774,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(239,axiom,
rdn_translate @ nn41 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn41) ).
thf(660,plain,
rdn_translate @ nn41 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(3,axiom,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn5) ).
thf(411,plain,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(19,axiom,
rdn_non_zero_digit @ ( rdnn @ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit7) ).
thf(428,plain,
rdn_non_zero_digit @ ( rdnn @ n7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(385,axiom,
rdn_translate @ nn115 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn115) ).
thf(849,plain,
rdn_translate @ nn115 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(94,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(507,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(112,axiom,
rdn_translate @ n82 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn82) ).
thf(527,plain,
rdn_translate @ n82 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(182,axiom,
rdn_translate @ n33 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn33) ).
thf(602,plain,
rdn_translate @ n33 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(321,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ C ) )
& ( rdn_translate @ B @ ( rdn_pos @ D ) )
& ( rdn_positive_less @ C @ D ) )
=> ( less @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
thf(766,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ C ) )
& ( rdn_translate @ B @ ( rdn_pos @ D ) )
& ( rdn_positive_less @ C @ D ) )
=> ( less @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(43,axiom,
rdn_translate @ nn54 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn54) ).
thf(452,plain,
rdn_translate @ nn54 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(250,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(678,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(240,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( sum @ A @ C @ D )
& ( sum @ B @ C @ D ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_LHS) ).
thf(661,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( sum @ A @ C @ D )
& ( sum @ B @ C @ D ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(129,axiom,
rdn_translate @ n52 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn52) ).
thf(546,plain,
rdn_translate @ n52 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(318,axiom,
rdn_translate @ nn10 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn10) ).
thf(761,plain,
rdn_translate @ nn10 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(351,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(810,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(118,axiom,
rdn_translate @ nn62 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn62) ).
thf(534,plain,
rdn_translate @ nn62 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(278,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(714,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(339,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(798,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(99,axiom,
rdn_translate @ nn97 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn97) ).
thf(512,plain,
rdn_translate @ nn97 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(30,axiom,
rdn_translate @ n69 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn69) ).
thf(439,plain,
rdn_translate @ n69 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(305,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(746,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(366,axiom,
rdn_translate @ n117 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn117) ).
thf(825,plain,
rdn_translate @ n117 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(396,axiom,
rdn_translate @ nn120 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn120) ).
thf(862,plain,
rdn_translate @ nn120 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(178,axiom,
rdn_translate @ nn84 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn84) ).
thf(598,plain,
rdn_translate @ nn84 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(361,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(820,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(144,axiom,
rdn_translate @ nn64 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn64) ).
thf(561,plain,
rdn_translate @ nn64 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ B ) @ C ) @ ( rdn @ ( rdnn @ E ) @ F ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdn @ ( rdnn @ B ) @ C ) @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ E ) @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_rdn_digit_rdn) ).
thf(424,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ B ) @ C ) @ ( rdn @ ( rdnn @ E ) @ F ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdn @ ( rdnn @ B ) @ C ) @ ( rdnn @ D ) @ ( rdn @ ( rdnn @ E ) @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(20,axiom,
rdn_translate @ n93 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn93) ).
thf(429,plain,
rdn_translate @ n93 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(356,axiom,
rdn_translate @ nn104 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn104) ).
thf(815,plain,
rdn_translate @ nn104 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(289,axiom,
rdn_translate @ nn16 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn16) ).
thf(729,plain,
rdn_translate @ nn16 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(265,axiom,
rdn_translate @ n61 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn61) ).
thf(693,plain,
rdn_translate @ n61 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(209,axiom,
rdn_translate @ nn77 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn77) ).
thf(630,plain,
rdn_translate @ nn77 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(57,axiom,
rdn_translate @ n32 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn32) ).
thf(467,plain,
rdn_translate @ n32 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(74,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( rdn_digit_add @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdnn @ E ) @ ( rdnn @ n0 ) )
& ( rdn_digit_add @ ( rdnn @ E ) @ ( rdnn @ A ) @ ( rdnn @ D ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdnn @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_digit) ).
thf(484,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( rdn_digit_add @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdnn @ E ) @ ( rdnn @ n0 ) )
& ( rdn_digit_add @ ( rdnn @ E ) @ ( rdnn @ A ) @ ( rdnn @ D ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdnn @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(204,axiom,
rdn_translate @ n65 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn65) ).
thf(625,plain,
rdn_translate @ n65 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(241,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(665,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(51,axiom,
rdn_translate @ nn83 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn83) ).
thf(461,plain,
rdn_translate @ nn83 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(81,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(493,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(314,axiom,
rdn_translate @ n103 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn103) ).
thf(757,plain,
rdn_translate @ n103 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(254,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(682,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(134,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(551,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(388,axiom,
rdn_translate @ n31 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn31) ).
thf(852,plain,
rdn_translate @ n31 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(26,axiom,
rdn_translate @ nn33 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn33) ).
thf(435,plain,
rdn_translate @ nn33 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(163,axiom,
rdn_translate @ n45 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn45) ).
thf(583,plain,
rdn_translate @ n45 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(107,axiom,
rdn_translate @ n9 @ ( rdn_pos @ ( rdnn @ n9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn9) ).
thf(522,plain,
rdn_translate @ n9 @ ( rdn_pos @ ( rdnn @ n9 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(371,axiom,
rdn_translate @ n13 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn13) ).
thf(830,plain,
rdn_translate @ n13 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rdn_positive_less @ ( rdnn @ A ) @ ( rdnn @ C ) )
& ( rdn_non_zero @ B ) )
=> ( rdn_positive_less @ ( rdn @ ( rdnn @ A ) @ B ) @ ( rdn @ ( rdnn @ C ) @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
thf(456,plain,
! [A: $i,B: $i,C: $i] :
( ( ( rdn_positive_less @ ( rdnn @ A ) @ ( rdnn @ C ) )
& ( rdn_non_zero @ B ) )
=> ( rdn_positive_less @ ( rdn @ ( rdnn @ A ) @ B ) @ ( rdn @ ( rdnn @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(383,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( rdn_digit_add @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdnn @ D ) @ ( rdnn @ F ) )
& ( rdn_digit_add @ ( rdnn @ D ) @ ( rdnn @ A ) @ ( rdnn @ E ) @ ( rdnn @ G ) )
& ( rdn_digit_add @ ( rdnn @ F ) @ ( rdnn @ G ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ E ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_digit_digit_rdn) ).
thf(842,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( rdn_digit_add @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdnn @ D ) @ ( rdnn @ F ) )
& ( rdn_digit_add @ ( rdnn @ D ) @ ( rdnn @ A ) @ ( rdnn @ E ) @ ( rdnn @ G ) )
& ( rdn_digit_add @ ( rdnn @ F ) @ ( rdnn @ G ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdnn @ B ) @ ( rdnn @ C ) @ ( rdn @ ( rdnn @ E ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(269,axiom,
rdn_translate @ n124 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn124) ).
thf(697,plain,
rdn_translate @ n124 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(229,axiom,
rdn_translate @ n51 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn51) ).
thf(650,plain,
rdn_translate @ n51 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(194,axiom,
rdn_translate @ n74 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn74) ).
thf(615,plain,
rdn_translate @ n74 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(287,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ D ) )
& ( rdn_translate @ B @ ( rdn_neg @ E ) )
& ( rdn_positive_less @ D @ E )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ D @ F @ E )
& ( rdn_translate @ C @ ( rdn_neg @ F ) ) )
=> ( sum @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_neg_1) ).
thf(725,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ D ) )
& ( rdn_translate @ B @ ( rdn_neg @ E ) )
& ( rdn_positive_less @ D @ E )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ D @ F @ E )
& ( rdn_translate @ C @ ( rdn_neg @ F ) ) )
=> ( sum @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(173,axiom,
rdn_translate @ nn6 @ ( rdn_neg @ ( rdnn @ n6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn6) ).
thf(593,plain,
rdn_translate @ nn6 @ ( rdn_neg @ ( rdnn @ n6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(401,axiom,
rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn1) ).
thf(869,plain,
rdn_translate @ n1 @ ( rdn_pos @ ( rdnn @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(189,axiom,
rdn_translate @ nn50 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn50) ).
thf(610,plain,
rdn_translate @ nn50 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(391,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(857,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(104,axiom,
rdn_translate @ n92 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn92) ).
thf(519,plain,
rdn_translate @ n92 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(301,axiom,
rdn_positive_less @ ( rdnn @ n1 ) @ ( rdnn @ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less12) ).
thf(742,plain,
rdn_positive_less @ ( rdnn @ n1 ) @ ( rdnn @ n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(158,axiom,
rdn_non_zero_digit @ ( rdnn @ n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit6) ).
thf(578,plain,
rdn_non_zero_digit @ ( rdnn @ n6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(332,axiom,
rdn_translate @ nn103 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn103) ).
thf(783,plain,
rdn_translate @ nn103 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(12,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(420,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(61,axiom,
rdn_translate @ n98 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn98) ).
thf(471,plain,
rdn_translate @ n98 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(76,axiom,
rdn_translate @ nn22 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn22) ).
thf(488,plain,
rdn_translate @ nn22 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(137,axiom,
rdn_translate @ nn69 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn69) ).
thf(554,plain,
rdn_translate @ nn69 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(121,axiom,
rdn_translate @ nn63 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn63) ).
thf(537,plain,
rdn_translate @ nn63 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(221,axiom,
rdn_translate @ nn56 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn56) ).
thf(642,plain,
rdn_translate @ nn56 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(111,axiom,
rdn_translate @ n97 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn97) ).
thf(526,plain,
rdn_translate @ n97 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(216,axiom,
rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less23) ).
thf(637,plain,
rdn_positive_less @ ( rdnn @ n2 ) @ ( rdnn @ n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(77,axiom,
rdn_translate @ n43 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn43) ).
thf(489,plain,
rdn_translate @ n43 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(170,axiom,
rdn_translate @ nn85 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn85) ).
thf(590,plain,
rdn_translate @ nn85 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(251,axiom,
rdn_translate @ nn105 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn105) ).
thf(679,plain,
rdn_translate @ nn105 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(130,axiom,
rdn_translate @ n85 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn85) ).
thf(547,plain,
rdn_translate @ n85 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(258,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(686,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(66,axiom,
rdn_translate @ n30 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn30) ).
thf(476,plain,
rdn_translate @ n30 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(226,axiom,
rdn_translate @ n89 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn89) ).
thf(647,plain,
rdn_translate @ n89 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(273,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(701,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(102,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i] :
( ( ( rdn_digit_add @ ( rdnn @ B ) @ ( rdnn @ D ) @ ( rdnn @ H ) @ ( rdnn @ I ) )
& ( rdn_digit_add @ ( rdnn @ H ) @ ( rdnn @ A ) @ ( rdnn @ F ) @ ( rdnn @ J ) )
& ( rdn_digit_add @ ( rdnn @ I ) @ ( rdnn @ J ) @ ( rdnn @ K ) @ ( rdnn @ n0 ) )
& ( rdn_add_with_carry @ ( rdnn @ K ) @ C @ E @ G )
& ( rdn_non_zero @ C )
& ( rdn_non_zero @ E )
& ( rdn_non_zero @ G ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdn @ ( rdnn @ B ) @ C ) @ ( rdn @ ( rdnn @ D ) @ E ) @ ( rdn @ ( rdnn @ F ) @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_rdn_rdn_rdn) ).
thf(515,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i] :
( ( ( rdn_digit_add @ ( rdnn @ B ) @ ( rdnn @ D ) @ ( rdnn @ H ) @ ( rdnn @ I ) )
& ( rdn_digit_add @ ( rdnn @ H ) @ ( rdnn @ A ) @ ( rdnn @ F ) @ ( rdnn @ J ) )
& ( rdn_digit_add @ ( rdnn @ I ) @ ( rdnn @ J ) @ ( rdnn @ K ) @ ( rdnn @ n0 ) )
& ( rdn_add_with_carry @ ( rdnn @ K ) @ C @ E @ G )
& ( rdn_non_zero @ C )
& ( rdn_non_zero @ E )
& ( rdn_non_zero @ G ) )
=> ( rdn_add_with_carry @ ( rdnn @ A ) @ ( rdn @ ( rdnn @ B ) @ C ) @ ( rdn @ ( rdnn @ D ) @ E ) @ ( rdn @ ( rdnn @ F ) @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(298,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( sum @ A @ n1 @ B )
& ( less @ C @ B ) )
=> ( less_or_equal @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_successor) ).
thf(738,plain,
! [A: $i,B: $i,C: $i] :
( ( ( sum @ A @ n1 @ B )
& ( less @ C @ B ) )
=> ( less_or_equal @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(233,axiom,
rdn_translate @ nn116 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn116) ).
thf(654,plain,
rdn_translate @ nn116 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(283,axiom,
rdn_translate @ nn117 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn117) ).
thf(721,plain,
rdn_translate @ nn117 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(150,axiom,
rdn_translate @ n54 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn54) ).
thf(569,plain,
rdn_translate @ n54 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(201,axiom,
rdn_translate @ nn74 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn74) ).
thf(622,plain,
rdn_translate @ nn74 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(378,axiom,
rdn_translate @ n109 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn109) ).
thf(837,plain,
rdn_translate @ n109 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(90,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(503,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(185,axiom,
rdn_translate @ n23 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn23) ).
thf(605,plain,
rdn_translate @ n23 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(212,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(633,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(346,axiom,
rdn_translate @ n125 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn125) ).
thf(805,plain,
rdn_translate @ n125 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(95,axiom,
rdn_translate @ n35 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn35) ).
thf(508,plain,
rdn_translate @ n35 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(124,axiom,
rdn_translate @ nn39 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn39) ).
thf(541,plain,
rdn_translate @ nn39 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(236,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(657,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(320,axiom,
rdn_translate @ nn1 @ ( rdn_neg @ ( rdnn @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn1) ).
thf(765,plain,
rdn_translate @ nn1 @ ( rdn_neg @ ( rdnn @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(141,axiom,
rdn_translate @ n68 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn68) ).
thf(558,plain,
rdn_translate @ n68 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(114,axiom,
rdn_translate @ nn45 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn45) ).
thf(530,plain,
rdn_translate @ nn45 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(326,axiom,
rdn_translate @ n115 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn115) ).
thf(773,plain,
rdn_translate @ n115 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(166,axiom,
rdn_translate @ n56 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn56) ).
thf(586,plain,
rdn_translate @ n56 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(4,axiom,
rdn_translate @ nn4 @ ( rdn_neg @ ( rdnn @ n4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn4) ).
thf(412,plain,
rdn_translate @ nn4 @ ( rdn_neg @ ( rdnn @ n4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(309,axiom,
rdn_translate @ nn119 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn119) ).
thf(750,plain,
rdn_translate @ nn119 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(197,axiom,
rdn_translate @ nn53 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn53) ).
thf(618,plain,
rdn_translate @ nn53 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(365,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(824,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(390,axiom,
rdn_translate @ n127 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn127) ).
thf(856,plain,
rdn_translate @ n127 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(304,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(745,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(261,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(689,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(35,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(444,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(293,axiom,
rdn_translate @ nn12 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn12) ).
thf(733,plain,
rdn_translate @ nn12 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(181,axiom,
rdn_translate @ n8 @ ( rdn_pos @ ( rdnn @ n8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn8) ).
thf(601,plain,
rdn_translate @ n8 @ ( rdn_pos @ ( rdnn @ n8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(100,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(513,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(21,axiom,
rdn_translate @ n80 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn80) ).
thf(430,plain,
rdn_translate @ n80 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(164,axiom,
rdn_translate @ n83 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn83) ).
thf(584,plain,
rdn_translate @ n83 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(360,axiom,
rdn_translate @ n11 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn11) ).
thf(819,plain,
rdn_translate @ n11 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(145,axiom,
rdn_translate @ n7 @ ( rdn_pos @ ( rdnn @ n7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn7) ).
thf(562,plain,
rdn_translate @ n7 @ ( rdn_pos @ ( rdnn @ n7 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(15,axiom,
rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn0) ).
thf(423,plain,
rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(266,axiom,
rdn_translate @ n110 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn110) ).
thf(694,plain,
rdn_translate @ n110 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(292,axiom,
rdn_translate @ nn124 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn124) ).
thf(732,plain,
rdn_translate @ nn124 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(325,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(772,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(302,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(743,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(159,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(579,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(128,axiom,
rdn_translate @ n46 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn46) ).
thf(545,plain,
rdn_translate @ n46 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(5,axiom,
rdn_translate @ n24 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn24) ).
thf(413,plain,
rdn_translate @ n24 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(367,axiom,
rdn_translate @ nn111 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn111) ).
thf(826,plain,
rdn_translate @ nn111 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(157,axiom,
rdn_translate @ nn20 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn20) ).
thf(577,plain,
rdn_translate @ nn20 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(220,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(641,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(36,axiom,
rdn_translate @ nn68 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn68) ).
thf(445,plain,
rdn_translate @ nn68 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(153,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( rdn_positive_less @ B @ D )
=> ( rdn_positive_less @ ( rdn @ ( rdnn @ A ) @ B ) @ ( rdn @ ( rdnn @ C ) @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
thf(572,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( rdn_positive_less @ B @ D )
=> ( rdn_positive_less @ ( rdn @ ( rdnn @ A ) @ B ) @ ( rdn @ ( rdnn @ C ) @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(190,axiom,
rdn_translate @ n57 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn57) ).
thf(611,plain,
rdn_translate @ n57 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(56,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(466,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(345,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(804,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(123,axiom,
rdn_translate @ n44 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn44) ).
thf(540,plain,
rdn_translate @ n44 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(246,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(672,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(277,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(713,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(86,axiom,
! [A: $i,B: $i,C: $i] :
( ( rdn_non_zero @ C )
=> ( rdn_positive_less @ ( rdnn @ A ) @ ( rdn @ ( rdnn @ B ) @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
thf(498,plain,
! [A: $i,B: $i,C: $i] :
( ( rdn_non_zero @ C )
=> ( rdn_positive_less @ ( rdnn @ A ) @ ( rdn @ ( rdnn @ B ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(184,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(604,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(372,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(831,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(253,axiom,
rdn_translate @ n104 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn104) ).
thf(681,plain,
rdn_translate @ n104 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(333,axiom,
rdn_translate @ nn107 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn107) ).
thf(784,plain,
rdn_translate @ nn107 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(11,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(419,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(296,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(736,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(42,axiom,
rdn_positive_less @ ( rdnn @ n7 ) @ ( rdnn @ n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less78) ).
thf(451,plain,
rdn_positive_less @ ( rdnn @ n7 ) @ ( rdnn @ n8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(297,axiom,
rdn_translate @ nn31 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn31) ).
thf(737,plain,
rdn_translate @ nn31 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(195,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(616,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(179,axiom,
rdn_non_zero_digit @ ( rdnn @ n5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit5) ).
thf(599,plain,
rdn_non_zero_digit @ ( rdnn @ n5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(397,axiom,
rdn_translate @ nn13 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn13) ).
thf(863,plain,
rdn_translate @ nn13 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(96,axiom,
rdn_translate @ nn8 @ ( rdn_neg @ ( rdnn @ n8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn8) ).
thf(509,plain,
rdn_translate @ nn8 @ ( rdn_neg @ ( rdnn @ n8 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(228,axiom,
rdn_translate @ n14 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn14) ).
thf(649,plain,
rdn_translate @ n14 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(25,axiom,
rdn_translate @ nn35 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn35) ).
thf(434,plain,
rdn_translate @ nn35 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(67,axiom,
rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn4) ).
thf(477,plain,
rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(352,axiom,
rdn_translate @ nn21 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn21) ).
thf(811,plain,
rdn_translate @ nn21 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(82,axiom,
rdn_translate @ nn3 @ ( rdn_neg @ ( rdnn @ n3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn3) ).
thf(494,plain,
rdn_translate @ nn3 @ ( rdn_neg @ ( rdnn @ n3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(210,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(631,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(315,axiom,
rdn_translate @ nn110 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn110) ).
thf(758,plain,
rdn_translate @ nn110 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(119,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(535,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(357,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(816,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(188,axiom,
rdn_translate @ nn25 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn25) ).
thf(609,plain,
rdn_translate @ nn25 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(174,axiom,
rdn_translate @ nn34 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn34) ).
thf(594,plain,
rdn_translate @ nn34 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(340,axiom,
rdn_translate @ nn18 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn18) ).
thf(799,plain,
rdn_translate @ nn18 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(200,axiom,
rdn_translate @ n86 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn86) ).
thf(621,plain,
rdn_translate @ n86 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(73,axiom,
rdn_translate @ n28 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn28) ).
thf(483,plain,
rdn_translate @ n28 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(205,axiom,
rdn_translate @ nn26 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn26) ).
thf(626,plain,
rdn_translate @ nn26 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(322,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(769,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(244,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( rdn_translate @ A @ ( rdn_neg @ C ) )
& ( rdn_translate @ B @ ( rdn_pos @ D ) ) )
=> ( less @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
thf(668,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( rdn_translate @ A @ ( rdn_neg @ C ) )
& ( rdn_translate @ B @ ( rdn_pos @ D ) ) )
=> ( less @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(52,axiom,
rdn_translate @ nn37 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn37) ).
thf(462,plain,
rdn_translate @ nn37 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(392,axiom,
rdn_translate @ n119 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn119) ).
thf(858,plain,
rdn_translate @ n119 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(135,axiom,
rdn_translate @ n59 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn59) ).
thf(552,plain,
rdn_translate @ n59 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(272,axiom,
rdn_translate @ n112 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn112) ).
thf(700,plain,
rdn_translate @ n112 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(105,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(520,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n3 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(368,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(827,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(329,axiom,
rdn_translate @ nn109 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn109) ).
thf(780,plain,
rdn_translate @ nn109 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(46,axiom,
rdn_translate @ n60 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn60) ).
thf(455,plain,
rdn_translate @ n60 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(146,axiom,
rdn_translate @ nn60 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn60) ).
thf(563,plain,
rdn_translate @ nn60 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(387,axiom,
rdn_translate @ nn61 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn61) ).
thf(851,plain,
rdn_translate @ nn61 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(22,axiom,
rdn_positive_less @ ( rdnn @ n6 ) @ ( rdnn @ n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less67) ).
thf(431,plain,
rdn_positive_less @ ( rdnn @ n6 ) @ ( rdnn @ n7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(232,axiom,
rdn_translate @ n107 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn107) ).
thf(653,plain,
rdn_translate @ n107 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(237,axiom,
rdn_translate @ nn101 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn101) ).
thf(658,plain,
rdn_translate @ nn101 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(257,axiom,
rdn_translate @ n120 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn120) ).
thf(685,plain,
rdn_translate @ n120 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(106,axiom,
rdn_translate @ nn75 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn75) ).
thf(521,plain,
rdn_translate @ nn75 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(215,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(636,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(267,axiom,
rdn_translate @ n10 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn10) ).
thf(695,plain,
rdn_translate @ n10 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(92,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(505,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(29,axiom,
rdn_translate @ nn79 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn79) ).
thf(438,plain,
rdn_translate @ nn79 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(63,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(473,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(284,axiom,
rdn_translate @ n102 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn102) ).
thf(722,plain,
rdn_translate @ n102 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(78,axiom,
rdn_translate @ nn46 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn46) ).
thf(490,plain,
rdn_translate @ nn46 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(17,axiom,
rdn_non_zero_digit @ ( rdnn @ n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit3) ).
thf(426,plain,
rdn_non_zero_digit @ ( rdnn @ n3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(169,axiom,
rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less56) ).
thf(589,plain,
rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(115,axiom,
rdn_translate @ n88 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn88) ).
thf(531,plain,
rdn_translate @ n88 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(131,axiom,
rdn_translate @ n6 @ ( rdn_pos @ ( rdnn @ n6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn6) ).
thf(548,plain,
rdn_translate @ n6 @ ( rdn_pos @ ( rdnn @ n6 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(353,axiom,
rdn_translate @ nn102 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn102) ).
thf(812,plain,
rdn_translate @ nn102 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(308,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(749,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(196,axiom,
rdn_translate @ n79 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn79) ).
thf(617,plain,
rdn_translate @ n79 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(136,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(553,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(377,axiom,
rdn_translate @ nn51 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn51) ).
thf(836,plain,
rdn_translate @ nn51 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(336,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(795,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(252,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(680,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(227,axiom,
rdn_translate @ n121 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn121) ).
thf(648,plain,
rdn_translate @ n121 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(75,axiom,
rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn3) ).
thf(487,plain,
rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(48,axiom,
rdn_translate @ nn59 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn59) ).
thf(458,plain,
rdn_translate @ nn59 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(364,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(823,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(110,axiom,
rdn_translate @ n55 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn55) ).
thf(525,plain,
rdn_translate @ n55 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(160,axiom,
rdn_translate @ nn92 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn92) ).
thf(580,plain,
rdn_translate @ nn92 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(262,axiom,
rdn_translate @ nn114 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn114) ).
thf(690,plain,
rdn_translate @ nn114 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(219,axiom,
rdn_translate @ nn90 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn90) ).
thf(640,plain,
rdn_translate @ nn90 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(6,axiom,
rdn_translate @ nn49 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn49) ).
thf(414,plain,
rdn_translate @ nn49 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(276,axiom,
rdn_translate @ nn118 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn118) ).
thf(712,plain,
rdn_translate @ nn118 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(140,axiom,
rdn_translate @ n47 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn47) ).
thf(557,plain,
rdn_translate @ n47 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(247,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ D ) )
& ( rdn_translate @ B @ ( rdn_neg @ E ) )
& ( rdn_positive_less @ E @ D )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ E @ F @ D )
& ( rdn_translate @ C @ ( rdn_pos @ F ) ) )
=> ( sum @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_neg_2) ).
thf(673,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ D ) )
& ( rdn_translate @ B @ ( rdn_neg @ E ) )
& ( rdn_positive_less @ E @ D )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ E @ F @ D )
& ( rdn_translate @ C @ ( rdn_pos @ F ) ) )
=> ( sum @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(32,axiom,
rdn_translate @ nn78 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn78) ).
thf(441,plain,
rdn_translate @ nn78 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(165,axiom,
rdn_positive_less @ ( rdnn @ n8 ) @ ( rdnn @ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less89) ).
thf(585,plain,
rdn_positive_less @ ( rdnn @ n8 ) @ ( rdnn @ n9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(89,axiom,
rdn_translate @ n20 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn20) ).
thf(502,plain,
rdn_translate @ n20 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(381,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(840,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(53,axiom,
rdn_translate @ nn99 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn99) ).
thf(463,plain,
rdn_translate @ nn99 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(349,axiom,
rdn_translate @ n105 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn105) ).
thf(808,plain,
rdn_translate @ n105 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(222,axiom,
rdn_translate @ nn70 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn70) ).
thf(643,plain,
rdn_translate @ nn70 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(127,axiom,
rdn_translate @ nn57 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn57) ).
thf(544,plain,
rdn_translate @ nn57 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(60,axiom,
rdn_translate @ nn65 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn65) ).
thf(470,plain,
rdn_translate @ nn65 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(156,axiom,
rdn_translate @ nn28 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn28) ).
thf(576,plain,
rdn_translate @ nn28 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(303,axiom,
rdn_translate @ nn125 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn125) ).
thf(744,plain,
rdn_translate @ nn125 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(275,axiom,
! [A: $i,B: $i] :
( ( less @ A @ B )
<=> ( ~ ( less @ B @ A )
& ( B != A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
thf(703,plain,
! [A: $i,B: $i] :
( ( ( less @ A @ B )
=> ( ~ ( less @ B @ A )
& ( B != A ) ) )
& ( ( ~ ( less @ B @ A )
& ( B != A ) )
=> ( less @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(235,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(656,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(192,axiom,
rdn_non_zero_digit @ ( rdnn @ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit9) ).
thf(613,plain,
rdn_non_zero_digit @ ( rdnn @ n9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(180,axiom,
rdn_translate @ n70 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn70) ).
thf(600,plain,
rdn_translate @ n70 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(398,axiom,
rdn_translate @ n123 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn123) ).
thf(864,plain,
rdn_translate @ n123 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(175,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(595,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(191,axiom,
rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
thf(612,plain,
rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(85,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(497,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(393,axiom,
rdn_translate @ nn11 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn11) ).
thf(859,plain,
rdn_translate @ nn11 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(37,axiom,
rdn_translate @ n87 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn87) ).
thf(446,plain,
rdn_translate @ n87 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(152,axiom,
rdn_translate @ n94 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn94) ).
thf(571,plain,
rdn_translate @ n94 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(384,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( sum @ A @ B @ D )
& ( sum @ A @ C @ D ) )
=> ( B = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_RHS) ).
thf(845,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( sum @ A @ B @ D )
& ( sum @ A @ C @ D ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(55,axiom,
rdn_translate @ n66 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn66) ).
thf(465,plain,
rdn_translate @ n66 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(206,axiom,
rdn_translate @ n39 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn39) ).
thf(627,plain,
rdn_translate @ n39 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(41,axiom,
rdn_translate @ nn55 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn55) ).
thf(450,plain,
rdn_translate @ nn55 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(139,axiom,
rdn_translate @ nn98 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn98) ).
thf(556,plain,
rdn_translate @ nn98 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(72,axiom,
rdn_translate @ n36 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn36) ).
thf(482,plain,
rdn_translate @ n36 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(245,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(671,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(260,axiom,
rdn_translate @ n101 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn101) ).
thf(688,plain,
rdn_translate @ n101 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(83,axiom,
rdn_translate @ n42 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn42) ).
thf(495,plain,
rdn_translate @ n42 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(316,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(759,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(324,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(771,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n9 ) @ ( rdnn @ n6 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(109,axiom,
rdn_translate @ nn47 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn47) ).
thf(524,plain,
rdn_translate @ nn47 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(161,axiom,
rdn_translate @ n99 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn99) ).
thf(581,plain,
rdn_translate @ n99 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(354,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(813,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n7 ) @ ( rdnn @ n4 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(307,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(748,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(231,axiom,
rdn_translate @ n116 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn116) ).
thf(652,plain,
rdn_translate @ n116 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(211,axiom,
rdn_translate @ n37 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn37) ).
thf(632,plain,
rdn_translate @ n37 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(330,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(781,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n9 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(168,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(588,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n2 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(271,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(699,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(291,axiom,
rdn_translate @ n111 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn111) ).
thf(731,plain,
rdn_translate @ n111 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(10,axiom,
rdn_translate @ nn29 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn29) ).
thf(418,plain,
rdn_translate @ nn29 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(335,axiom,
! [A: $i,B: $i] :
( ( less_or_equal @ A @ B )
<=> ( ( less @ A @ B )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
thf(786,plain,
! [A: $i,B: $i] :
( ( ( less_or_equal @ A @ B )
=> ( ( less @ A @ B )
| ( A = B ) ) )
& ( ( ( less @ A @ B )
| ( A = B ) )
=> ( less_or_equal @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(149,axiom,
rdn_non_zero_digit @ ( rdnn @ n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit2) ).
thf(568,plain,
rdn_non_zero_digit @ ( rdnn @ n2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(243,axiom,
rdn_translate @ nn121 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn121) ).
thf(667,plain,
rdn_translate @ nn121 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(68,axiom,
rdn_translate @ nn27 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn27) ).
thf(478,plain,
rdn_translate @ nn27 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(132,axiom,
rdn_translate @ n67 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn67) ).
thf(549,plain,
rdn_translate @ n67 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(120,axiom,
rdn_translate @ nn24 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn24) ).
thf(536,plain,
rdn_translate @ nn24 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(24,axiom,
rdn_translate @ nn36 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn36) ).
thf(433,plain,
rdn_translate @ nn36 @ ( rdn_neg @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(97,axiom,
rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less34) ).
thf(510,plain,
rdn_positive_less @ ( rdnn @ n3 ) @ ( rdnn @ n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(373,axiom,
rdn_translate @ n12 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn12) ).
thf(832,plain,
rdn_translate @ n12 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(256,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(684,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(280,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( rdn_translate @ A @ ( rdn_neg @ D ) )
& ( rdn_translate @ B @ ( rdn_pos @ E ) )
& ( sum @ B @ A @ C ) )
=> ( sum @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_neg_pos) ).
thf(716,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( rdn_translate @ A @ ( rdn_neg @ D ) )
& ( rdn_translate @ B @ ( rdn_pos @ E ) )
& ( sum @ B @ A @ C ) )
=> ( sum @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(341,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(800,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(199,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(620,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(311,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ D ) )
& ( rdn_translate @ B @ ( rdn_pos @ E ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ D @ E @ F )
& ( rdn_translate @ C @ ( rdn_pos @ F ) ) )
=> ( sum @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
thf(752,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( rdn_translate @ A @ ( rdn_pos @ D ) )
& ( rdn_translate @ B @ ( rdn_pos @ E ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ D @ E @ F )
& ( rdn_translate @ C @ ( rdn_pos @ F ) ) )
=> ( sum @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(38,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(447,plain,
rdn_digit_add @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(23,axiom,
rdn_translate @ nn87 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn87) ).
thf(432,plain,
rdn_translate @ nn87 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(374,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(833,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(376,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(835,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n3 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(359,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(818,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(14,axiom,
rdn_translate @ nn89 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn89) ).
thf(422,plain,
rdn_translate @ nn89 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(399,axiom,
rdn_translate @ nn19 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn19) ).
thf(865,plain,
rdn_translate @ nn19 @ ( rdn_neg @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(183,axiom,
rdn_translate @ nn80 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn80) ).
thf(603,plain,
rdn_translate @ nn80 @ ( rdn_neg @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(295,axiom,
rdn_translate @ n122 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn122) ).
thf(735,plain,
rdn_translate @ n122 @ ( rdn_pos @ ( rdn @ ( rdnn @ n2 ) @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(147,axiom,
rdn_translate @ n64 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn64) ).
thf(564,plain,
rdn_translate @ n64 @ ( rdn_pos @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(342,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(801,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(93,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(506,plain,
rdn_digit_add @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(348,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(807,plain,
rdn_digit_add @ ( rdnn @ n7 ) @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(28,axiom,
rdn_translate @ n26 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn26) ).
thf(437,plain,
rdn_translate @ n26 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(64,axiom,
rdn_translate @ nn38 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn38) ).
thf(474,plain,
rdn_translate @ nn38 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n3 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(369,axiom,
rdn_translate @ n106 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn106) ).
thf(828,plain,
rdn_translate @ n106 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(214,axiom,
rdn_translate @ nn2 @ ( rdn_neg @ ( rdnn @ n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn2) ).
thf(635,plain,
rdn_translate @ nn2 @ ( rdn_neg @ ( rdnn @ n2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(116,axiom,
rdn_translate @ n27 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn27) ).
thf(532,plain,
rdn_translate @ n27 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(268,axiom,
rdn_translate @ n16 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn16) ).
thf(696,plain,
rdn_translate @ n16 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(282,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(720,plain,
rdn_digit_add @ ( rdnn @ n6 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(337,axiom,
rdn_translate @ nn17 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn17) ).
thf(796,plain,
rdn_translate @ nn17 @ ( rdn_neg @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(7,axiom,
rdn_translate @ n63 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn63) ).
thf(415,plain,
rdn_translate @ n63 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n6 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(54,axiom,
rdn_translate @ n29 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn29) ).
thf(464,plain,
rdn_translate @ n29 @ ( rdn_pos @ ( rdn @ ( rdnn @ n9 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(155,axiom,
rdn_translate @ nn88 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn88) ).
thf(575,plain,
rdn_translate @ nn88 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n8 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(18,axiom,
rdn_translate @ nn72 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn72) ).
thf(427,plain,
rdn_translate @ nn72 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n7 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(394,axiom,
rdn_translate @ nn91 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn91) ).
thf(860,plain,
rdn_translate @ nn91 @ ( rdn_neg @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(176,axiom,
rdn_translate @ nn42 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn42) ).
thf(596,plain,
rdn_translate @ nn42 @ ( rdn_neg @ ( rdn @ ( rdnn @ n2 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(113,axiom,
! [A: $i] :
( ( rdn_non_zero_digit @ ( rdnn @ A ) )
=> ( rdn_non_zero @ ( rdnn @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
thf(528,plain,
! [A: $i] :
( ( rdn_non_zero_digit @ ( rdnn @ A ) )
=> ( rdn_non_zero @ ( rdnn @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(223,axiom,
rdn_non_zero_digit @ ( rdnn @ n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit4) ).
thf(644,plain,
rdn_non_zero_digit @ ( rdnn @ n4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(49,axiom,
rdn_translate @ n95 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn95) ).
thf(459,plain,
rdn_translate @ n95 @ ( rdn_pos @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(285,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(723,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n4 ) @ ( rdnn @ n2 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(363,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(822,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(386,axiom,
rdn_positive_less @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less01) ).
thf(850,plain,
rdn_positive_less @ ( rdnn @ n0 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(263,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(691,plain,
rdn_digit_add @ ( rdnn @ n1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(33,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(442,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(88,axiom,
rdn_translate @ nn58 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn58) ).
thf(501,plain,
rdn_translate @ nn58 @ ( rdn_neg @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(187,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rdn_positive_less @ ( rdnn @ A ) @ ( rdnn @ B ) )
& ( rdn_positive_less @ ( rdnn @ B ) @ ( rdnn @ C ) ) )
=> ( rdn_positive_less @ ( rdnn @ A ) @ ( rdnn @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
thf(607,plain,
! [A: $i,B: $i,C: $i] :
( ( ( rdn_positive_less @ ( rdnn @ A ) @ ( rdnn @ B ) )
& ( rdn_positive_less @ ( rdnn @ B ) @ ( rdnn @ C ) ) )
=> ( rdn_positive_less @ ( rdnn @ A ) @ ( rdnn @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(203,axiom,
rdn_translate @ n40 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn40) ).
thf(624,plain,
rdn_translate @ n40 @ ( rdn_pos @ ( rdn @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(380,axiom,
rdn_translate @ n91 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn91) ).
thf(839,plain,
rdn_translate @ n91 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(288,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(728,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n9 ) @ ( rdnn @ n1 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(299,axiom,
rdn_translate @ nn113 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn113) ).
thf(740,plain,
rdn_translate @ nn113 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n1 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(344,axiom,
rdn_translate @ n18 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn18) ).
thf(803,plain,
rdn_translate @ n18 @ ( rdn_pos @ ( rdn @ ( rdnn @ n8 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(59,axiom,
rdn_translate @ nn95 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn95) ).
thf(469,plain,
rdn_translate @ nn95 @ ( rdn_neg @ ( rdn @ ( rdnn @ n5 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(238,axiom,
rdn_translate @ n41 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn41) ).
thf(659,plain,
rdn_translate @ n41 @ ( rdn_pos @ ( rdn @ ( rdnn @ n1 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(126,axiom,
rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_positive_less45) ).
thf(543,plain,
rdn_positive_less @ ( rdnn @ n4 ) @ ( rdnn @ n5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(218,axiom,
rdn_translate @ n96 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn96) ).
thf(639,plain,
rdn_translate @ n96 @ ( rdn_pos @ ( rdn @ ( rdnn @ n6 ) @ ( rdnn @ n9 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(79,axiom,
rdn_translate @ n53 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn53) ).
thf(491,plain,
rdn_translate @ n53 @ ( rdn_pos @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(172,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(592,plain,
rdn_digit_add @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(328,axiom,
! [A: $i,B: $i,C: $i] :
( ( sum @ B @ C @ A )
<=> ( difference @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minus_entry_point) ).
thf(775,plain,
! [A: $i,B: $i,C: $i] :
( ( ( sum @ B @ C @ A )
=> ( difference @ A @ B @ C ) )
& ( ( difference @ A @ B @ C )
=> ( sum @ B @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(143,axiom,
rdn_translate @ nn44 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn44) ).
thf(560,plain,
rdn_translate @ nn44 @ ( rdn_neg @ ( rdn @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(312,axiom,
rdn_translate @ n17 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn17) ).
thf(755,plain,
rdn_translate @ n17 @ ( rdn_pos @ ( rdn @ ( rdnn @ n7 ) @ ( rdnn @ n1 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(248,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(676,plain,
rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n7 ) @ ( rdnn @ n5 ) @ ( rdnn @ n1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(84,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(496,plain,
rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n3 ) @ ( rdnn @ n7 ) @ ( rdnn @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(45,axiom,
rdn_translate @ nn23 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn23) ).
thf(454,plain,
rdn_translate @ nn23 @ ( rdn_neg @ ( rdn @ ( rdnn @ n3 ) @ ( rdnn @ n2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(874,plain,
$false,
inference(e,[status(thm)],[645,809,629,760,479,628,518,468,555,666,481,683,730,741,597,861,523,582,762,873,449,440,655,511,614,677,533,550,500,797,715,472,814,698,747,538,782,565,436,651,829,404,841,417,724,570,719,785,504,802,587,619,838,702,751,542,460,817,559,606,770,416,448,638,853,421,870,475,492,756,591,443,623,646,834,514,574,806,821,480,687,634,692,734,866,453,774,660,411,428,849,507,527,602,766,452,678,661,546,761,810,534,714,798,512,439,746,825,862,598,820,561,424,429,815,729,693,630,467,484,625,665,461,493,757,682,551,852,435,583,522,830,456,842,697,650,615,725,593,869,610,857,519,742,578,783,420,471,488,554,537,642,526,637,489,590,679,547,686,476,647,701,515,738,654,721,569,622,837,503,605,633,805,508,541,657,765,558,530,773,586,412,750,618,824,856,745,689,444,733,601,513,430,584,819,562,423,694,732,772,743,579,545,413,826,577,641,445,572,611,466,804,540,672,713,498,604,831,681,784,419,736,451,737,616,599,863,509,649,434,477,811,494,631,758,535,816,609,594,799,621,483,626,769,668,462,858,552,700,520,827,780,455,563,851,431,653,658,685,521,636,695,505,438,473,722,490,426,589,531,548,812,749,617,553,836,795,680,648,487,458,823,525,580,690,640,414,712,557,673,441,585,502,840,463,808,643,544,470,576,744,703,656,613,600,864,595,612,497,859,446,571,845,465,627,450,556,482,671,688,495,759,771,524,581,813,748,652,632,781,588,699,731,418,786,568,667,478,549,536,433,510,832,684,716,800,620,752,447,432,833,835,818,422,865,603,735,564,801,506,807,437,474,828,635,532,696,720,796,415,464,575,427,860,596,528,644,459,723,822,850,691,442,501,607,624,839,728,740,803,469,659,543,639,491,592,775,560,755,676,496,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n017.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 16:30:31 EDT 2023
% 0.16/0.36 % CPUTime :
% 1.01/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.59/1.12 % [INFO] Parsing done (216ms).
% 1.59/1.13 % [INFO] Running in sequential loop mode.
% 2.29/1.33 % [INFO] eprover registered as external prover.
% 2.29/1.33 % [INFO] cvc4 registered as external prover.
% 2.29/1.34 % [INFO] Scanning for conjecture ...
% 2.51/1.44 % [INFO] Found a conjecture and 401 axioms. Running axiom selection ...
% 3.10/1.55 % [INFO] Axiom selection finished. Selected 401 axioms (removed 0 axioms).
% 3.46/1.67 % [INFO] Problem is first-order (TPTP FOF).
% 3.46/1.68 % [INFO] Type checking passed.
% 3.46/1.69 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 8.18/2.85 % External prover 'e' found a proof!
% 8.18/2.85 % [INFO] Killing All external provers ...
% 8.18/2.86 % Time passed: 2337ms (effective reasoning time: 1723ms)
% 8.18/2.86 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 8.18/2.86 % Axioms used in derivation (401): rdn_digit_add_n1_n2_n3_n0, rdn_digit_add_n0_n7_n7_n0, add_digit_digit_rdn, rdn_digit_add_n9_n7_n6_n1, rdn71, rdnn56, rdnn3, rdn_digit_add_n4_n7_n1_n1, rdn_digit_add_n2_n3_n5_n0, rdn_positive_less78, rdn_digit_add_n5_n3_n8_n0, rdn_positive_less67, rdnn121, rdn_digit_add_n4_n8_n2_n1, rdnn60, rdnn82, rdn_digit_add_n4_n9_n3_n1, rdn82, rdnn17, rdn46, rdnn61, rdnn40, less_property, rdnn97, rdn56, rdnn99, unique_LHS, rdnn12, rdn_positive_less45, rdn_digit_add_n9_n6_n5_n1, rdnn7, rdn_digit_add_n8_n6_n4_n1, rdn_digit4, rdn27, rdnn111, rdnn23, rdn32, rdn_digit_add_n6_n6_n2_n1, rdnn125, rdnn71, rdn125, rdnn83, rdnn107, rdn_positive_less56, rdn85, rdn_digit_add_n2_n7_n9_n0, rdn43, rdn_digit_add_n8_n4_n2_n1, rdn116, rdn_digit_add_n9_n2_n1_n1, rdn74, rdnn100, rdn_digit_add_n7_n0_n7_n0, rdn35, rdn6, rdnn118, add_digit_digit_digit, rdnn124, rdn_digit8, rdn107, rdn67, rdn_digit_add_n7_n1_n8_n0, rdn_digit_add_n4_n5_n9_n0, rdn12, rdn_digit_add_n0_n6_n6_n0, rdn1, rdn121, rdnn34, rdnn103, rdn102, rdn111, rdn96, rdn16, rdn89, rdn78, rdn23, rdn_digit_add_n6_n3_n9_n0, rdnn114, rdnn92, rdn8, rdnn72, rdn_digit9, unique_sum, rdn_digit_add_n0_n8_n8_n0, rdnn110, rdnn28, rdn63, rdn60, rdnn68, rdn_digit_add_n8_n8_n6_n1, rdnn79, rdnn51, rdnn39, rdn_digit_add_n8_n3_n1_n1, rdn_non_zero_by_structure, sum_entry_point_pos_neg_1, rdn42, rdn_digit_add_n5_n8_n3_n1, rdn92, rdn52, rdnn45, rdnn62, rdn88, rdn20, rdn77, rdnn57, rdnn14, rdn_digit_add_n4_n6_n0_n1, rdn31, rdn119, unique_RHS, rdn2, rdnn117, rdn103, rdn45, rdn_digit_add_n1_n3_n4_n0, rdnn122, rdn72, rdn_digit_add_n6_n9_n5_n1, rdn_digit_add_n3_n9_n2_n1, sum_entry_point_neg_neg, rdn5, rdnn101, rdnn84, rdn124, rdnn13, rdn34, rdn115, rdn_digit_add_n3_n7_n0_n1, rdnn106, rdn_digit3, rdnn112, rdn55, rdn_digit_add_n3_n6_n9_n0, rdnn36, rdn19, rdnn123, add_rdn_digit_rdn, rdn_digit_add_n0_n0_n0_n0, rdnn35, rdnn47, rdn66, rdn38, rdnn93, rdnn113, rdnn24, rdn_positive_less23, rdnn67, rdn_digit_add_n7_n7_n4_n1, rdn120, rdn_digit_add_n5_n1_n6_n0, rdn_digit_add_n7_n8_n5_n1, rdnn89, rdnn6, rdn_digit_add_n9_n5_n4_n1, rdn93, rdn_digit_add_n6_n1_n7_n0, rdn_digit_add_n6_n8_n4_n1, rdn_positive_less01, rdnn102, rdn_digit_add_n8_n1_n9_n0, rdn_digit_add_n8_n9_n7_n1, rdn112, rdn_positive_less12, rdn_digit7, rdn13, rdn24, rdn_digit_add_n9_n4_n3_n1, rdn99, rdn59, rdnn128, rdnn50, rdn_positive_less34, rdn_digit_add_n9_n9_n8_n1, rdn106, rdnn78, rdnn25, rdn_digit_add_n6_n5_n1_n1, rdnn73, rdn_digit_add_n6_n0_n6_n0, rdn_positive_less_multi_digit_low, rdnn46, rdn_digit_add_n4_n1_n5_n0, rdnn15, rdn_digit_add_n2_n5_n7_n0, rdn_digit_add_n1_n6_n7_n0, less_entry_point_neg_pos, rdn41, rdn_digit_add_n2_n2_n4_n0, rdn_digit_add_n7_n5_n2_n1, rdn76, rdn118, rdn_digit_add_n3_n2_n5_n0, rdn49, rdnn9, rdnn42, rdn29, rdn_digit6, rdnn21, rdnn20, rdn3, rdnn127, rdn_digit_add_n7_n6_n3_n1, rdnn54, rdn_digit_add_n1_n8_n9_n0, rdn30, rdn_digit_add_n1_n9_n0_n1, rdnn95, rdnn19, rdn21, rdn_positive_less_multi_digit_high, rdn39, rdn_digit_add_n3_n8_n1_n1, rdn_digit1, rdnn43, rdn_digit_add_n0_n9_n9_n0, rdnn63, rdn_digit_add_n8_n7_n5_n1, rdn87, rdn_digit_add_n1_n7_n8_n0, rdn84, rdnn80, rdnn31, rdnn90, rdnn5, rdn_digit_add_n2_n6_n8_n0, rdn73, rdn26, rdn50, rdn61, rdnn58, sum_entry_point_pos_pos, rdn123, rdn109, add_rdn_rdn_rdn, rdn10, rdnn53, rdn90, rdn126, rdn110, rdn25, rdn83, rdn113, rdn94, rdnn1, rdn_digit_add_n9_n1_n0_n1, rdn33, rdnn94, rdn44, rdn100, rdn54, rdn_digit_add_n2_n1_n3_n0, rdnn105, rdn80, rdnn74, rdn_digit_add_n3_n0_n3_n0, rdn_digit_add_n5_n0_n5_n0, rdn65, rdn105, rdn_digit_add_n7_n4_n1_n1, rdnn37, rdnn77, rdn14, less_entry_point_neg_neg, rdn15, rdnn109, rdnn32, rdnn48, rdn98, rdn40, rdn_digit_add_n5_n5_n0_n1, rdn18, rdn_non_zero_by_digit, rdnn98, rdnn116, rdnn88, rdn_positive_less_transitivity, rdn_digit_add_n3_n4_n7_n0, rdn_digit_add_n7_n2_n9_n0, rdn69, rdn58, rdnn85, rdn_digit_add_n8_n2_n0_n1, rdnn10, rdnn26, rdn_digit_add_n5_n4_n9_n0, rdn_digit_add_n4_n2_n6_n0, rdnn66, rdnn4, sum_entry_point_neg_pos, rdn36, rdnn55, rdnn16, rdnn108, rdn_positive_less89, rdn9, rdn_digit5, rdn_digit_add_n2_n8_n0_n1, rdn108, rdn_digit_add_n8_n5_n3_n1, sum_entry_point_posx_negx, rdn_digit_add_n4_n4_n8_n0, rdn70, rdn_digit_add_n1_n0_n1_n0, rdnn120, rdnn126, rdnn81, rdn47, rdnn41, rdn22, rdnn22, rdn_digit_add_n3_n3_n6_n0, rdn_digit_add_n9_n0_n9_n0, rdnn119, rdn81, rdn_extra_digits_positive_less, less_entry_point_pos_pos, rdn51, rdn68, rdn0, rdn48, rdn104, rdnn59, rdn122, rdn91, rdn37, rdn_digit_add_n0_n5_n5_n0, rdn_digit_add_n3_n5_n8_n0, rdnn8, rdn75, rdnn70, rdn_digit2, rdn11, rdn62, rdn7, rdn_digit_add_n4_n0_n4_n0, rdnn64, rdnn96, rdn97, rdn_digit_add_n7_n9_n6_n1, rdn_digit_add_n5_n2_n7_n0, rdnn30, rdn86, rdn_digit_add_n1_n4_n5_n0, rdn_digit_add_n1_n1_n2_n0, rdn_digit_add_n4_n3_n7_n0, rdnn18, rdn57, rdn4, less_successor, rdn_digit_add_n8_n0_n8_n0, rdn_digit_add_n0_n2_n2_n0, rdnn75, rdnn44, rdnn27, rdn95, rdn_digit_add_n0_n3_n3_n0, rdnn76, rdn79, rdnn87, rdn53, rdn_digit_add_n0_n4_n4_n0, rdn17, rdnn104, rdn_digit_add_n2_n4_n6_n0, rdn28, rdnn49, rdn_digit_add_n5_n7_n2_n1, rdnn69, minus_entry_point, rdn_digit_add_n5_n6_n1_n1, rdnn29, rdnn52, rdn_digit_add_n9_n3_n2_n1, rdn_digit_add_n0_n1_n1_n0, rdn127, sum_entry_point_pos_neg_2, rdn_digit_add_n1_n5_n6_n0, rdnn86, rdnn11, rdn117, rdn_digit_add_n6_n4_n0_n1, rdn114, add_digit_rdn_rdn, rdn_digit_add_n7_n3_n0_n1, rdn_digit_add_n3_n1_n4_n0, rdn_digit_add_n6_n7_n3_n1, less_or_equal, rdn_digit_add_n5_n9_n4_n1, rdn_digit_add_n6_n2_n8_n0, rdnn91, rdnn115, rdn101, rdn_digit_add_n2_n0_n2_n0, rdnn33, rdn64, rdn_digit_add_n2_n9_n1_n1, rdn_digit_add_n9_n8_n7_n1, rdnn65, rdnn38, rdnn2
% 8.18/2.86 % No. of inferences in proof: 806
% 8.18/2.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2337 ms resp. 1723 ms w/o parsing
% 8.60/3.00 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.06/3.00 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------