%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM313+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:08:34 AM UTC 2026
% Result : Theorem 62.03s 19.75s
% Output : Refutation 62.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 402
% Syntax : Number of formulae : 806 ( 749 unt; 0 typ; 0 def)
% Number of atoms : 959 ( 15 equ; 0 cnn)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 6472 ( 8 ~; 3 |; 90 &;6311 @)
% ( 3 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 272 ( 270 usr; 257 con; 0-4 aty)
% Number of variables : 245 ( 0 ^; 245 !; 0 ?; 245 :)
% Comments :
%------------------------------------------------------------------------------
thf(sum_decl,type,
sum: $i > $i > $i > $o ).
thf(n2_decl,type,
n2: $i ).
thf(n5_decl,type,
n5: $i ).
thf(n3_decl,type,
n3: $i ).
thf(rdn_translate_decl,type,
rdn_translate: $i > $i > $o ).
thf(nn4_decl,type,
nn4: $i ).
thf(rdn_neg_decl,type,
rdn_neg: $i > $i ).
thf(rdnn_decl,type,
rdnn: $i > $i ).
thf(n4_decl,type,
n4: $i ).
thf(n14_decl,type,
n14: $i ).
thf(rdn_pos_decl,type,
rdn_pos: $i > $i ).
thf(rdn_decl,type,
rdn: $i > $i > $i ).
thf(n1_decl,type,
n1: $i ).
thf(nn49_decl,type,
nn49: $i ).
thf(n9_decl,type,
n9: $i ).
thf(rdn_digit_add_decl,type,
rdn_digit_add: $i > $i > $i > $i > $o ).
thf(n8_decl,type,
n8: $i ).
thf(n0_decl,type,
n0: $i ).
thf(nn100_decl,type,
nn100: $i ).
thf(n116_decl,type,
n116: $i ).
thf(n6_decl,type,
n6: $i ).
thf(nn86_decl,type,
nn86: $i ).
thf(n107_decl,type,
n107: $i ).
thf(n7_decl,type,
n7: $i ).
thf(nn116_decl,type,
nn116: $i ).
thf(nn106_decl,type,
nn106: $i ).
thf(nn89_decl,type,
nn89: $i ).
thf(rdn_add_with_carry_decl,type,
rdn_add_with_carry: $i > $i > $i > $i > $o ).
thf(rdn_non_zero_digit_decl,type,
rdn_non_zero_digit: $i > $o ).
thf(nn101_decl,type,
nn101: $i ).
thf(n41_decl,type,
n41: $i ).
thf(nn41_decl,type,
nn41: $i ).
thf(n80_decl,type,
n80: $i ).
thf(rdn_positive_less_decl,type,
rdn_positive_less: $i > $i > $o ).
thf(nn87_decl,type,
nn87: $i ).
thf(n78_decl,type,
n78: $i ).
thf(nn79_decl,type,
nn79: $i ).
thf(n69_decl,type,
n69: $i ).
thf(less_decl,type,
less: $i > $i > $o ).
thf(nn40_decl,type,
nn40: $i ).
thf(nn78_decl,type,
nn78: $i ).
thf(n104_decl,type,
n104: $i ).
thf(nn68_decl,type,
nn68: $i ).
thf(n87_decl,type,
n87: $i ).
thf(nn71_decl,type,
nn71: $i ).
thf(nn94_decl,type,
nn94: $i ).
thf(n101_decl,type,
n101: $i ).
thf(n60_decl,type,
n60: $i ).
thf(rdn_non_zero_decl,type,
rdn_non_zero: $i > $o ).
thf(nn114_decl,type,
nn114: $i ).
thf(n10_decl,type,
n10: $i ).
thf(n61_decl,type,
n61: $i ).
thf(n110_decl,type,
n110: $i ).
thf(nn99_decl,type,
nn99: $i ).
thf(n66_decl,type,
n66: $i ).
thf(n16_decl,type,
n16: $i ).
thf(nn81_decl,type,
nn81: $i ).
thf(n98_decl,type,
n98: $i ).
thf(nn118_decl,type,
nn118: $i ).
thf(nn66_decl,type,
nn66: $i ).
thf(nn46_decl,type,
nn46: $i ).
thf(n90_decl,type,
n90: $i ).
thf(nn117_decl,type,
nn117: $i ).
thf(n118_decl,type,
n118: $i ).
thf(nn48_decl,type,
nn48: $i ).
thf(nn16_decl,type,
nn16: $i ).
thf(n84_decl,type,
n84: $i ).
thf(n111_decl,type,
n111: $i ).
thf(nn8_decl,type,
nn8: $i ).
thf(nn7_decl,type,
nn7: $i ).
thf(nn97_decl,type,
nn97: $i ).
thf(n71_decl,type,
n71: $i ).
thf(nn9_decl,type,
nn9: $i ).
thf(nn47_decl,type,
nn47: $i ).
thf(n97_decl,type,
n97: $i ).
thf(n88_decl,type,
n88: $i ).
thf(n19_decl,type,
n19: $i ).
thf(nn119_decl,type,
nn119: $i ).
thf(n17_decl,type,
n17: $i ).
thf(nn110_decl,type,
nn110: $i ).
thf(nn108_decl,type,
nn108: $i ).
thf(nn10_decl,type,
nn10: $i ).
thf(nn96_decl,type,
nn96: $i ).
thf(n44_decl,type,
n44: $i ).
thf(n49_decl,type,
n49: $i ).
thf(nn1_decl,type,
nn1: $i ).
thf(n46_decl,type,
n46: $i ).
thf(n67_decl,type,
n67: $i ).
thf(nn67_decl,type,
nn67: $i ).
thf(n68_decl,type,
n68: $i ).
thf(nn98_decl,type,
nn98: $i ).
thf(n47_decl,type,
n47: $i ).
thf(nn69_decl,type,
nn69: $i ).
thf(nn109_decl,type,
nn109: $i ).
thf(nn44_decl,type,
nn44: $i ).
thf(nn107_decl,type,
nn107: $i ).
thf(nn64_decl,type,
nn64: $i ).
thf(n114_decl,type,
n114: $i ).
thf(nn60_decl,type,
nn60: $i ).
thf(less_or_equal_decl,type,
less_or_equal: $i > $i > $o ).
thf(n64_decl,type,
n64: $i ).
thf(nn17_decl,type,
nn17: $i ).
thf(n77_decl,type,
n77: $i ).
thf(n94_decl,type,
n94: $i ).
thf(n108_decl,type,
n108: $i ).
thf(nn18_decl,type,
nn18: $i ).
thf(n76_decl,type,
n76: $i ).
thf(nn88_decl,type,
nn88: $i ).
thf(n18_decl,type,
n18: $i ).
thf(n99_decl,type,
n99: $i ).
thf(nn6_decl,type,
nn6: $i ).
thf(nn84_decl,type,
nn84: $i ).
thf(nn104_decl,type,
nn104: $i ).
thf(n70_decl,type,
n70: $i ).
thf(nn14_decl,type,
nn14: $i ).
thf(n11_decl,type,
n11: $i ).
thf(nn80_decl,type,
nn80: $i ).
thf(n117_decl,type,
n117: $i ).
thf(nn111_decl,type,
nn111: $i ).
thf(n74_decl,type,
n74: $i ).
thf(n106_decl,type,
n106: $i ).
thf(n79_decl,type,
n79: $i ).
thf(n100_decl,type,
n100: $i ).
thf(n86_decl,type,
n86: $i ).
thf(nn74_decl,type,
nn74: $i ).
thf(n109_decl,type,
n109: $i ).
thf(n81_decl,type,
n81: $i ).
thf(nn77_decl,type,
nn77: $i ).
thf(n40_decl,type,
n40: $i ).
thf(n91_decl,type,
n91: $i ).
thf(nn76_decl,type,
nn76: $i ).
thf(nn61_decl,type,
nn61: $i ).
thf(n119_decl,type,
n119: $i ).
thf(nn11_decl,type,
nn11: $i ).
thf(n96_decl,type,
n96: $i ).
thf(nn90_decl,type,
nn90: $i ).
thf(nn70_decl,type,
nn70: $i ).
thf(nn91_decl,type,
nn91: $i ).
thf(n48_decl,type,
n48: $i ).
thf(n89_decl,type,
n89: $i ).
thf(nn19_decl,type,
nn19: $i ).
thf(n121_decl,type,
n121: $i ).
thf(n24_decl,type,
n24: $i ).
thf(n63_decl,type,
n63: $i ).
thf(n50_decl,type,
n50: $i ).
thf(n51_decl,type,
n51: $i ).
thf(nn29_decl,type,
nn29: $i ).
thf(nn72_decl,type,
nn72: $i ).
thf(n93_decl,type,
n93: $i ).
thf(nn121_decl,type,
nn121: $i ).
thf(nn33_decl,type,
nn33: $i ).
thf(nn36_decl,type,
nn36: $i ).
thf(nn35_decl,type,
nn35: $i ).
thf(n26_decl,type,
n26: $i ).
thf(nn112_decl,type,
nn112: $i ).
thf(nn105_decl,type,
nn105: $i ).
thf(n75_decl,type,
n75: $i ).
thf(n58_decl,type,
n58: $i ).
thf(nn55_decl,type,
nn55: $i ).
thf(n126_decl,type,
n126: $i ).
thf(nn54_decl,type,
nn54: $i ).
thf(n120_decl,type,
n120: $i ).
thf(nn23_decl,type,
nn23: $i ).
thf(nn59_decl,type,
nn59: $i ).
thf(n95_decl,type,
n95: $i ).
thf(n22_decl,type,
n22: $i ).
thf(n124_decl,type,
n124: $i ).
thf(n32_decl,type,
n32: $i ).
thf(nn83_decl,type,
nn83: $i ).
thf(nn37_decl,type,
nn37: $i ).
thf(n29_decl,type,
n29: $i ).
thf(nn73_decl,type,
nn73: $i ).
thf(nn95_decl,type,
nn95: $i ).
thf(nn65_decl,type,
nn65: $i ).
thf(nn30_decl,type,
nn30: $i ).
thf(nn38_decl,type,
nn38: $i ).
thf(nn27_decl,type,
nn27: $i ).
thf(nn122_decl,type,
nn122: $i ).
thf(n112_decl,type,
n112: $i ).
thf(n25_decl,type,
n25: $i ).
thf(n30_decl,type,
n30: $i ).
thf(nn32_decl,type,
nn32: $i ).
thf(n28_decl,type,
n28: $i ).
thf(n36_decl,type,
n36: $i ).
thf(nn22_decl,type,
nn22: $i ).
thf(n43_decl,type,
n43: $i ).
thf(n42_decl,type,
n42: $i ).
thf(n102_decl,type,
n102: $i ).
thf(n53_decl,type,
n53: $i ).
thf(nn3_decl,type,
nn3: $i ).
thf(nn58_decl,type,
nn58: $i ).
thf(n20_decl,type,
n20: $i ).
thf(nn127_decl,type,
nn127: $i ).
thf(n35_decl,type,
n35: $i ).
thf(nn124_decl,type,
nn124: $i ).
thf(nn12_decl,type,
nn12: $i ).
thf(n122_decl,type,
n122: $i ).
thf(nn31_decl,type,
nn31: $i ).
thf(nn113_decl,type,
nn113: $i ).
thf(n72_decl,type,
n72: $i ).
thf(n92_decl,type,
n92: $i ).
thf(nn125_decl,type,
nn125: $i ).
thf(n55_decl,type,
n55: $i ).
thf(n82_decl,type,
n82: $i ).
thf(nn75_decl,type,
nn75: $i ).
thf(n113_decl,type,
n113: $i ).
thf(nn45_decl,type,
nn45: $i ).
thf(n103_decl,type,
n103: $i ).
thf(n27_decl,type,
n27: $i ).
thf(nn62_decl,type,
nn62: $i ).
thf(nn24_decl,type,
nn24: $i ).
thf(nn63_decl,type,
nn63: $i ).
thf(nn39_decl,type,
nn39: $i ).
thf(nn57_decl,type,
nn57: $i ).
thf(n21_decl,type,
n21: $i ).
thf(n59_decl,type,
n59: $i ).
thf(n52_decl,type,
n52: $i ).
thf(n85_decl,type,
n85: $i ).
thf(n115_decl,type,
n115: $i ).
thf(n34_decl,type,
n34: $i ).
thf(difference_decl,type,
difference: $i > $i > $i > $o ).
thf(n54_decl,type,
n54: $i ).
thf(nn28_decl,type,
nn28: $i ).
thf(nn20_decl,type,
nn20: $i ).
thf(nn92_decl,type,
nn92: $i ).
thf(n45_decl,type,
n45: $i ).
thf(n83_decl,type,
n83: $i ).
thf(n56_decl,type,
n56: $i ).
thf(n125_decl,type,
n125: $i ).
thf(nn52_decl,type,
nn52: $i ).
thf(nn128_decl,type,
nn128: $i ).
thf(n105_decl,type,
n105: $i ).
thf(nn85_decl,type,
nn85: $i ).
thf(n62_decl,type,
n62: $i ).
thf(n15_decl,type,
n15: $i ).
thf(nn21_decl,type,
nn21: $i ).
thf(nn102_decl,type,
nn102: $i ).
thf(nn34_decl,type,
nn34: $i ).
thf(nn42_decl,type,
nn42: $i ).
thf(nn82_decl,type,
nn82: $i ).
thf(nn15_decl,type,
nn15: $i ).
thf(nn126_decl,type,
nn126: $i ).
thf(n33_decl,type,
n33: $i ).
thf(n23_decl,type,
n23: $i ).
thf(nn25_decl,type,
nn25: $i ).
thf(nn50_decl,type,
nn50: $i ).
thf(n57_decl,type,
n57: $i ).
thf(n38_decl,type,
n38: $i ).
thf(nn93_decl,type,
nn93: $i ).
thf(nn53_decl,type,
nn53: $i ).
thf(n13_decl,type,
n13: $i ).
thf(n73_decl,type,
n73: $i ).
thf(n12_decl,type,
n12: $i ).
thf(nn51_decl,type,
nn51: $i ).
thf(nn26_decl,type,
nn26: $i ).
thf(n39_decl,type,
n39: $i ).
thf(n65_decl,type,
n65: $i ).
thf(n37_decl,type,
n37: $i ).
thf(nn115_decl,type,
nn115: $i ).
thf(nn5_decl,type,
nn5: $i ).
thf(nn2_decl,type,
nn2: $i ).
thf(n31_decl,type,
n31: $i ).
thf(nn43_decl,type,
nn43: $i ).
thf(n127_decl,type,
n127: $i ).
thf(nn56_decl,type,
nn56: $i ).
thf(nn123_decl,type,
nn123: $i ).
thf(nn120_decl,type,
nn120: $i ).
thf(nn13_decl,type,
nn13: $i ).
thf(n123_decl,type,
n123: $i ).
thf(nn103_decl,type,
nn103: $i ).
thf(200,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n2 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n2_n0_n1) ).
thf(645,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n2 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(347,axiom,
n5 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit5) ).
thf(809,plain,
n5 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(184,axiom,
n4 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n48 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn48) ).
thf(629,plain,
n4 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n48 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(303,axiom,
n0 @ rdnn @ ( n7 @ rdnn @ ( n2 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n2_n7_n0) ).
thf(760,plain,
n0 @ rdnn @ ( n7 @ rdnn @ ( n2 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(60,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( n0 @ rdnn @ ( D @ rdnn @ ( A @ rdnn @ ( E @ rdnn @ rdn_digit_add ) ) ) )
& ( n0 @ rdnn @ ( E @ rdnn @ ( C @ rdnn @ ( B @ rdnn @ rdn_digit_add ) ) ) ) )
=> ( D @ rdnn @ ( C @ rdnn @ ( B @ rdnn @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).
thf(479,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( n0 @ rdnn @ ( D @ rdnn @ ( A @ rdnn @ ( E @ rdnn @ rdn_digit_add ) ) ) )
& ( n0 @ rdnn @ ( E @ rdnn @ ( C @ rdnn @ ( B @ rdnn @ rdn_digit_add ) ) ) ) )
=> ( D @ rdnn @ ( C @ rdnn @ ( B @ rdnn @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(381,axiom,
n3 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n37 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn37) ).
thf(846,plain,
n3 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n37 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(183,axiom,
n4 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit4) ).
thf(628,plain,
n4 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(93,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn108 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn108) ).
thf(518,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn108 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(125,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less_or_equal ) )
<=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
thf(555,plain,
! [A: $i,B: $i] :
( ( ( ( A = B )
| ( B @ ( A @ less ) ) )
=> ( B @ ( A @ less_or_equal ) ) )
& ( ( B @ ( A @ less_or_equal ) )
=> ( ( A = B )
| ( B @ ( A @ less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(216,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn105 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn105) ).
thf(666,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn105 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(233,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n124 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn124) ).
thf(683,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n124 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(276,axiom,
n3 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n35 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn35) ).
thf(730,plain,
n3 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n35 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(286,axiom,
n7 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n72 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn72) ).
thf(741,plain,
n7 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n72 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(40,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n101 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn101) ).
thf(449,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n101 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(155,axiom,
n8 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn80 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn80) ).
thf(597,plain,
n8 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn80 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(394,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n6 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n6_n8_n0) ).
thf(861,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n6 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(97,axiom,
n4 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n44 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn44) ).
thf(523,plain,
n4 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n44 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(140,axiom,
n0 @ rdnn @ ( n4 @ rdnn @ ( n0 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n0_n4_n0) ).
thf(582,plain,
n0 @ rdnn @ ( n4 @ rdnn @ ( n0 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(305,axiom,
n6 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn63 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn63) ).
thf(762,plain,
n6 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn63 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(31,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n104 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn104) ).
thf(440,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n104 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(207,axiom,
n3 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn33 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn33) ).
thf(655,plain,
n3 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn33 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(86,axiom,
n1 @ rdnn @ ( n6 @ rdnn @ ( n8 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n8_n6_n1) ).
thf(511,plain,
n1 @ rdnn @ ( n6 @ rdnn @ ( n8 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(171,axiom,
n0 @ rdnn @ ( n7 @ rdnn @ ( n0 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n0_n7_n0) ).
thf(614,plain,
n0 @ rdnn @ ( n7 @ rdnn @ ( n0 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(227,axiom,
n0 @ rdnn @ ( n3 @ rdnn @ ( n2 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n2_n3_n0) ).
thf(677,plain,
n0 @ rdnn @ ( n3 @ rdnn @ ( n2 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(103,axiom,
n6 @ rdnn @ rdn_pos @ ( n6 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn6) ).
thf(533,plain,
n6 @ rdnn @ rdn_pos @ ( n6 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(120,axiom,
n6 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn64 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn64) ).
thf(550,plain,
n6 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn64 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(335,axiom,
n6 @ rdnn @ ( n5 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less56) ).
thf(797,plain,
n6 @ rdnn @ ( n5 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(263,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ ( n5 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n5_n1_n1) ).
thf(715,plain,
n1 @ rdnn @ ( n1 @ rdnn @ ( n5 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(352,axiom,
n0 @ rdnn @ ( n3 @ rdnn @ ( n0 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n0_n3_n0) ).
thf(814,plain,
n0 @ rdnn @ ( n3 @ rdnn @ ( n0 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(248,axiom,
n2 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n25 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn25) ).
thf(698,plain,
n2 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n25 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(292,axiom,
n8 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n82 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn82) ).
thf(747,plain,
n8 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n82 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(108,axiom,
n1 @ rdnn @ ( n6 @ rdnn @ ( n9 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n9_n6_n1) ).
thf(538,plain,
n1 @ rdnn @ ( n6 @ rdnn @ ( n9 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(220,axiom,
n5 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n58 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn58) ).
thf(670,plain,
n5 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n58 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(320,axiom,
n0 @ rdnn @ ( n6 @ rdnn @ ( n5 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n5_n6_n0) ).
thf(782,plain,
n0 @ rdnn @ ( n6 @ rdnn @ ( n5 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(257,axiom,
n2 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn22 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn22) ).
thf(709,plain,
n2 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn22 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(11,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn116 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn116) ).
thf(417,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn116 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(126,axiom,
n6 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n64 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn64) ).
thf(565,plain,
n6 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n64 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(367,axiom,
n1 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n13 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn13) ).
thf(829,plain,
n1 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n13 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(1,conjecture,
! [A: $i] :
( ( n5 @ ( A @ ( n2 @ sum ) ) )
=> ( A = n3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sumn2_only_n3_n5) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( n5 @ ( A @ ( n2 @ sum ) ) )
=> ( A = n3 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(404,plain,
~ ! [A: $i] :
( ( n5 @ ( A @ ( n2 @ sum ) ) )
=> ( A = n3 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(270,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ ( n9 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n9_n1_n1) ).
thf(724,plain,
n1 @ rdnn @ ( n1 @ rdnn @ ( n9 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(129,axiom,
n1 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn17 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn17) ).
thf(570,plain,
n1 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn17 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(267,axiom,
n5 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn58 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn58) ).
thf(719,plain,
n5 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn58 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(323,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ ( n5 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n5_n2_n1) ).
thf(785,plain,
n1 @ rdnn @ ( n2 @ rdnn @ ( n5 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(80,axiom,
n9 @ rdnn @ rdn_neg @ ( nn9 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn9) ).
thf(504,plain,
n9 @ rdnn @ rdn_neg @ ( nn9 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(340,axiom,
n2 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn21 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn21) ).
thf(802,plain,
n2 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn21 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(145,axiom,
n6 @ rdnn @ rdn_neg @ ( nn6 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn6) ).
thf(587,plain,
n6 @ rdnn @ rdn_neg @ ( nn6 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(174,axiom,
n7 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn76 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn76) ).
thf(619,plain,
n7 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn76 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(376,axiom,
n3 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n39 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn39) ).
thf(838,plain,
n3 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n39 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(252,axiom,
n2 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n28 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn28) ).
thf(702,plain,
n2 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n28 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(296,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n5 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n5_n0_n1) ).
thf(751,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n5 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(112,axiom,
n4 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n47 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn47) ).
thf(542,plain,
n4 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n47 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(50,axiom,
n1 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n16 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn16) ).
thf(460,plain,
n1 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n16 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(355,axiom,
n5 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn50 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn50) ).
thf(817,plain,
n5 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn50 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ rdnn @ rdn ) @ ( C @ ( B @ rdnn @ rdn ) @ ( D @ rdnn @ ( A @ rdnn @ rdn_add_with_carry ) ) ) )
=> ( F @ ( E @ rdnn @ rdn ) @ ( D @ rdnn @ ( C @ ( B @ rdnn @ rdn ) @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_rdn_digit_rdn) ).
thf(421,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( F @ ( E @ rdnn @ rdn ) @ ( C @ ( B @ rdnn @ rdn ) @ ( D @ rdnn @ ( A @ rdnn @ rdn_add_with_carry ) ) ) )
=> ( F @ ( E @ rdnn @ rdn ) @ ( D @ rdnn @ ( C @ ( B @ rdnn @ rdn ) @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(163,axiom,
n7 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n79 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn79) ).
thf(606,plain,
n7 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n79 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(313,axiom,
n0 @ rdnn @ ( n2 @ rdnn @ ( n0 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n0_n2_n0) ).
thf(770,plain,
n0 @ rdnn @ ( n2 @ rdnn @ ( n0 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(10,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n107 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn107) ).
thf(416,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n107 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(39,axiom,
n8 @ rdnn @ ( n7 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less78) ).
thf(448,plain,
n8 @ rdnn @ ( n7 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(193,axiom,
n5 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n50 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn50) ).
thf(638,plain,
n5 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n50 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(388,axiom,
n0 @ rdnn @ ( n5 @ rdnn @ ( n2 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n2_n5_n0) ).
thf(853,plain,
n0 @ rdnn @ ( n5 @ rdnn @ ( n2 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(56,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn118 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn118) ).
thf(475,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn118 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(70,axiom,
n8 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n84 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn84) ).
thf(492,plain,
n8 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n84 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(299,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n103 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn103) ).
thf(756,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n103 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(327,axiom,
n8 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n83 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn83) ).
thf(789,plain,
n8 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n83 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(149,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn104 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn104) ).
thf(591,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn104 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(34,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n0 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n0_n9_n0) ).
thf(443,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n0 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(178,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn11 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn11) ).
thf(623,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn11 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(201,axiom,
n7 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn72 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn72) ).
thf(646,plain,
n7 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn72 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(89,axiom,
n1 @ rdnn @ ( n6 @ rdnn @ ( n7 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n7_n6_n1) ).
thf(514,plain,
n1 @ rdnn @ ( n6 @ rdnn @ ( n7 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(133,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ rdn_positive_less ) )
=> ( D @ ( C @ rdnn @ rdn ) @ ( B @ ( A @ rdnn @ rdn ) @ rdn_positive_less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_high) ).
thf(574,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( B @ rdn_positive_less ) )
=> ( D @ ( C @ rdnn @ rdn ) @ ( B @ ( A @ rdnn @ rdn ) @ rdn_positive_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(344,axiom,
n4 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn42 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn42) ).
thf(806,plain,
n4 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn42 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(359,axiom,
n1 @ rdnn @ ( n3 @ rdnn @ ( n9 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n9_n3_n1) ).
thf(821,plain,
n1 @ rdnn @ ( n3 @ rdnn @ ( n9 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(64,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn117 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn117) ).
thf(485,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn117 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(372,axiom,
n0 @ rdnn @ ( n4 @ rdnn @ ( n3 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n3_n4_n0) ).
thf(834,plain,
n0 @ rdnn @ ( n4 @ rdnn @ ( n3 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(237,axiom,
n2 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n29 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn29) ).
thf(687,plain,
n2 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n29 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(189,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n121 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn121) ).
thf(634,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n121 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(242,axiom,
n3 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn30 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn30) ).
thf(692,plain,
n3 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn30 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(280,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ less ) )
& ( B @ ( n1 @ ( A @ sum ) ) ) )
=> ( A @ ( C @ less_or_equal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_successor) ).
thf(734,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ less ) )
& ( B @ ( n1 @ ( A @ sum ) ) ) )
=> ( A @ ( C @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(399,axiom,
n0 @ rdnn @ ( n5 @ rdnn @ ( n0 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n0_n5_n0) ).
thf(866,plain,
n0 @ rdnn @ ( n5 @ rdnn @ ( n0 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(43,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn114 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn114) ).
thf(453,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn114 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(5,axiom,
n4 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn49 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn49) ).
thf(411,plain,
n4 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn49 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,axiom,
n7 @ rdnn @ ( n6 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less67) ).
thf(428,plain,
n7 @ rdnn @ ( n6 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(384,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ ( n8 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n8_n1_n1) ).
thf(849,plain,
n1 @ rdnn @ ( n1 @ rdnn @ ( n8 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(83,axiom,
n9 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n97 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn97) ).
thf(507,plain,
n9 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n97 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(99,axiom,
n4 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n49 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn49) ).
thf(527,plain,
n4 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n49 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(159,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn111 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn111) ).
thf(602,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn111 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(309,axiom,
n2 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n21 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn21) ).
thf(766,plain,
n2 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n21 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(228,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ ( n9 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n9_n2_n1) ).
thf(678,plain,
n1 @ rdnn @ ( n2 @ rdnn @ ( n9 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(101,axiom,
n4 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n46 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn46) ).
thf(529,plain,
n4 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n46 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(211,axiom,
n2 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n26 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn26) ).
thf(661,plain,
n2 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n26 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(304,axiom,
n2 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn24 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn24) ).
thf(761,plain,
n2 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn24 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(348,axiom,
n0 @ rdnn @ ( n6 @ rdnn @ ( n1 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n1_n6_n0) ).
thf(810,plain,
n0 @ rdnn @ ( n6 @ rdnn @ ( n1 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(104,axiom,
n6 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n67 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn67) ).
thf(534,plain,
n6 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n67 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(262,axiom,
n3 @ rdnn @ rdn_neg @ ( nn3 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn3) ).
thf(714,plain,
n3 @ rdnn @ rdn_neg @ ( nn3 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(336,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n105 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn105) ).
thf(798,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n105 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(87,axiom,
n8 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n88 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn88) ).
thf(512,plain,
n8 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n88 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(30,axiom,
n7 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn78 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn78) ).
thf(439,plain,
n7 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn78 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(116,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn109 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn109) ).
thf(546,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn109 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(331,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n3 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n3_n9_n0) ).
thf(793,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n3 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(291,axiom,
n5 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n55 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn55) ).
thf(746,plain,
n5 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n55 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(363,axiom,
n0 @ rdnn @ ( n4 @ rdnn @ ( n2 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n2_n4_n0) ).
thf(825,plain,
n0 @ rdnn @ ( n4 @ rdnn @ ( n2 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(395,axiom,
n5 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn56 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn56) ).
thf(862,plain,
n5 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn56 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(156,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n9 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n9_n0_n1) ).
thf(598,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n9 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(358,axiom,
n2 @ rdnn @ rdn_pos @ ( n2 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn2) ).
thf(820,plain,
n2 @ rdnn @ rdn_pos @ ( n2 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(17,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn101 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn101) ).
thf(424,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn101 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(22,axiom,
n8 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn87 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn87) ).
thf(429,plain,
n8 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn87 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(326,axiom,
n4 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n45 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn45) ).
thf(788,plain,
n4 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n45 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(353,axiom,
n2 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n23 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn23) ).
thf(815,plain,
n2 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n23 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(275,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n2 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n2_n9_n0) ).
thf(729,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n2 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(243,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n3 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n3_n8_n0) ).
thf(693,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n3 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(185,axiom,
n8 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n89 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn89) ).
thf(630,plain,
n8 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n89 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(180,axiom,
n9 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn90 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn90) ).
thf(625,plain,
n9 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn90 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(387,axiom,
n3 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n31 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn31) ).
thf(852,plain,
n3 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n31 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(215,axiom,
n1 @ rdnn @ ( n5 @ rdnn @ ( n6 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n6_n5_n1) ).
thf(665,plain,
n1 @ rdnn @ ( n5 @ rdnn @ ( n6 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(51,axiom,
n8 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn81 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn81) ).
thf(461,plain,
n8 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn81 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(71,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n111 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn111) ).
thf(493,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n111 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(300,axiom,
n0 @ rdnn @ ( n5 @ rdnn @ ( n4 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n4_n5_n0) ).
thf(757,plain,
n0 @ rdnn @ ( n5 @ rdnn @ ( n4 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(232,axiom,
n2 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n22 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn22) ).
thf(682,plain,
n2 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n22 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(121,axiom,
n1 @ rdnn @ ( n7 @ rdnn @ ( n9 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n9_n7_n1) ).
thf(551,plain,
n1 @ rdnn @ ( n7 @ rdnn @ ( n9 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(258,axiom,
n4 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n43 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn43) ).
thf(710,plain,
n4 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n43 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(46,axiom,
n6 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n61 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn61) ).
thf(456,plain,
n6 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n61 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(382,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n7 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n7_n9_n0) ).
thf(847,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n7 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(127,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( F @ rdn_non_zero )
& ( D @ rdn_non_zero )
& ( F @ ( D @ ( n0 @ rdnn @ ( J @ rdnn @ rdn_add_with_carry ) ) ) )
& ( n0 @ rdnn @ ( J @ rdnn @ ( I @ rdnn @ ( H @ rdnn @ rdn_digit_add ) ) ) )
& ( I @ rdnn @ ( E @ rdnn @ ( A @ rdnn @ ( G @ rdnn @ rdn_digit_add ) ) ) )
& ( H @ rdnn @ ( G @ rdnn @ ( C @ rdnn @ ( B @ rdnn @ rdn_digit_add ) ) ) ) )
=> ( F @ ( E @ rdnn @ rdn ) @ ( D @ ( C @ rdnn @ rdn ) @ ( B @ rdnn @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_rdn_rdn) ).
thf(566,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( ( F @ rdn_non_zero )
& ( D @ rdn_non_zero )
& ( F @ ( D @ ( n0 @ rdnn @ ( J @ rdnn @ rdn_add_with_carry ) ) ) )
& ( n0 @ rdnn @ ( J @ rdnn @ ( I @ rdnn @ ( H @ rdnn @ rdn_digit_add ) ) ) )
& ( I @ rdnn @ ( E @ rdnn @ ( A @ rdnn @ ( G @ rdnn @ rdn_digit_add ) ) ) )
& ( H @ rdnn @ ( G @ rdnn @ ( C @ rdnn @ ( B @ rdnn @ rdn_digit_add ) ) ) ) )
=> ( F @ ( E @ rdnn @ rdn ) @ ( D @ ( C @ rdnn @ rdn ) @ ( B @ rdnn @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(63,axiom,
n0 @ rdnn @ ( n6 @ rdnn @ ( n0 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n0_n6_n0) ).
thf(484,plain,
n0 @ rdnn @ ( n6 @ rdnn @ ( n0 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(141,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n1 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n1_n9_n0) ).
thf(583,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n1 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(368,axiom,
n7 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n73 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn73) ).
thf(830,plain,
n7 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n73 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(247,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n112 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn112) ).
thf(697,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n112 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(403,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn103 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn103) ).
thf(874,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn103 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(172,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( n0 @ rdnn @ ( n1 @ rdnn @ ( G @ rdnn @ ( F @ rdnn @ rdn_digit_add ) ) ) )
& ( G @ rdnn @ ( E @ rdnn @ ( A @ rdnn @ ( D @ rdnn @ rdn_digit_add ) ) ) )
& ( F @ rdnn @ ( D @ rdnn @ ( C @ rdnn @ ( B @ rdnn @ rdn_digit_add ) ) ) ) )
=> ( n1 @ rdnn @ ( E @ rdnn @ rdn ) @ ( C @ rdnn @ ( B @ rdnn @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_digit_rdn) ).
thf(615,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( n0 @ rdnn @ ( n1 @ rdnn @ ( G @ rdnn @ ( F @ rdnn @ rdn_digit_add ) ) ) )
& ( G @ rdnn @ ( E @ rdnn @ ( A @ rdnn @ ( D @ rdnn @ rdn_digit_add ) ) ) )
& ( F @ rdnn @ ( D @ rdnn @ ( C @ rdnn @ ( B @ rdnn @ rdn_digit_add ) ) ) ) )
=> ( n1 @ rdnn @ ( E @ rdnn @ rdn ) @ ( C @ rdnn @ ( B @ rdnn @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(271,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n5 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n5_n8_n0) ).
thf(725,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n5 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(151,axiom,
n8 @ rdnn @ rdn_pos @ ( n8 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn8) ).
thf(593,plain,
n8 @ rdnn @ rdn_pos @ ( n8 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(167,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n109 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn109) ).
thf(610,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n109 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(77,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i] :
( ( ( G @ rdn_non_zero )
& ( E @ rdn_non_zero )
& ( C @ rdn_non_zero )
& ( G @ ( E @ ( C @ ( K @ rdnn @ rdn_add_with_carry ) ) ) )
& ( n0 @ rdnn @ ( K @ rdnn @ ( J @ rdnn @ ( I @ rdnn @ rdn_digit_add ) ) ) )
& ( J @ rdnn @ ( F @ rdnn @ ( A @ rdnn @ ( H @ rdnn @ rdn_digit_add ) ) ) )
& ( I @ rdnn @ ( H @ rdnn @ ( D @ rdnn @ ( B @ rdnn @ rdn_digit_add ) ) ) ) )
=> ( G @ ( F @ rdnn @ rdn ) @ ( E @ ( D @ rdnn @ rdn ) @ ( C @ ( B @ rdnn @ rdn ) @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_rdn_rdn_rdn) ).
thf(499,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i] :
( ( ( G @ rdn_non_zero )
& ( E @ rdn_non_zero )
& ( C @ rdn_non_zero )
& ( G @ ( E @ ( C @ ( K @ rdnn @ rdn_add_with_carry ) ) ) )
& ( n0 @ rdnn @ ( K @ rdnn @ ( J @ rdnn @ ( I @ rdnn @ rdn_digit_add ) ) ) )
& ( J @ rdnn @ ( F @ rdnn @ ( A @ rdnn @ ( H @ rdnn @ rdn_digit_add ) ) ) )
& ( I @ rdnn @ ( H @ rdnn @ ( D @ rdnn @ ( B @ rdnn @ rdn_digit_add ) ) ) ) )
=> ( G @ ( F @ rdnn @ rdn ) @ ( E @ ( D @ rdnn @ rdn ) @ ( C @ ( B @ rdnn @ rdn ) @ ( A @ rdnn @ rdn_add_with_carry ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(390,axiom,
n3 @ rdnn @ ( n2 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).
thf(857,plain,
n3 @ rdnn @ ( n2 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(94,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn10 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn10) ).
thf(519,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn10 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(287,axiom,
n2 @ rdnn @ ( n1 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less12) ).
thf(742,plain,
n2 @ rdnn @ ( n1 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(136,axiom,
n8 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn88 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn88) ).
thf(578,plain,
n8 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn88 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(321,axiom,
n2 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn28 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn28) ).
thf(783,plain,
n2 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn28 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(14,axiom,
n0 @ rdnn @ rdn_pos @ ( n0 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn0) ).
thf(420,plain,
n0 @ rdnn @ rdn_pos @ ( n0 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(107,axiom,
n0 @ rdnn @ ( n4 @ rdnn @ ( n4 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n4_n4_n0) ).
thf(537,plain,
n0 @ rdnn @ ( n4 @ rdnn @ ( n4 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(219,axiom,
n1 @ rdnn @ ( n3 @ rdnn @ ( n6 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n6_n3_n1) ).
thf(669,plain,
n1 @ rdnn @ ( n3 @ rdnn @ ( n6 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(197,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n5 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n5_n9_n0) ).
thf(642,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n5 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(192,axiom,
n6 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n63 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn63) ).
thf(637,plain,
n6 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n63 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(67,axiom,
n4 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn48 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn48) ).
thf(489,plain,
n4 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn48 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(148,axiom,
n1 @ rdnn @ ( n4 @ rdnn @ ( n7 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n7_n4_n1) ).
thf(590,plain,
n1 @ rdnn @ ( n4 @ rdnn @ ( n7 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(229,axiom,
n5 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn59 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn59) ).
thf(679,plain,
n5 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn59 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(117,axiom,
n4 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn44 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn44) ).
thf(547,plain,
n4 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn44 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(254,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ ( n6 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n6_n2_n1) ).
thf(706,plain,
n1 @ rdnn @ ( n2 @ rdnn @ ( n6 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(124,axiom,
n6 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn60 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn60) ).
thf(554,plain,
n6 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn60 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(298,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ rdn_pos @ ( C @ rdn_translate ) )
& ( F @ ( E @ ( D @ ( n0 @ rdnn @ rdn_add_with_carry ) ) ) )
& ( E @ rdn_pos @ ( B @ rdn_translate ) )
& ( D @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).
thf(753,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ rdn_pos @ ( C @ rdn_translate ) )
& ( F @ ( E @ ( D @ ( n0 @ rdnn @ rdn_add_with_carry ) ) ) )
& ( E @ rdn_pos @ ( B @ rdn_translate ) )
& ( D @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(236,axiom,
n3 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn37 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn37) ).
thf(686,plain,
n3 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn37 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(57,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n6 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n6_n0_n1) ).
thf(476,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n6 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(202,axiom,
n9 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n93 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn93) ).
thf(647,plain,
n9 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n93 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(251,axiom,
n3 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn32 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn32) ).
thf(701,plain,
n3 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn32 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(90,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn119 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn119) ).
thf(515,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn119 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(283,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n4 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n4_n9_n0) ).
thf(738,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n4 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(206,axiom,
n0 @ rdnn @ ( n3 @ rdnn @ ( n1 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n1_n3_n0) ).
thf(654,plain,
n0 @ rdnn @ ( n3 @ rdnn @ ( n1 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(47,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n110 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn110) ).
thf(457,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n110 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(269,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ rdn_neg @ ( C @ rdn_translate ) )
& ( E @ ( F @ ( D @ ( n0 @ rdnn @ rdn_add_with_carry ) ) ) )
& ( E @ ( D @ rdn_positive_less ) )
& ( E @ rdn_neg @ ( B @ rdn_translate ) )
& ( D @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_neg_1) ).
thf(721,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ rdn_neg @ ( C @ rdn_translate ) )
& ( E @ ( F @ ( D @ ( n0 @ rdnn @ rdn_add_with_carry ) ) ) )
& ( E @ ( D @ rdn_positive_less ) )
& ( E @ rdn_neg @ ( B @ rdn_translate ) )
& ( D @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(128,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ ( n4 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n4_n1_n1) ).
thf(569,plain,
n1 @ rdnn @ ( n1 @ rdnn @ ( n4 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(317,axiom,
n2 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit2) ).
thf(779,plain,
n2 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(177,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n119 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn119) ).
thf(622,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n119 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(375,axiom,
n2 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn26 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn26) ).
thf(837,plain,
n2 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn26 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(79,axiom,
n1 @ rdnn @ ( n7 @ rdnn @ ( n8 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n8_n7_n1) ).
thf(503,plain,
n1 @ rdnn @ ( n7 @ rdnn @ ( n8 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(162,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n106 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn106) ).
thf(605,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n106 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(330,axiom,
n5 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn52 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn52) ).
thf(792,plain,
n5 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn52 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(188,axiom,
n1 @ rdnn @ ( n8 @ rdnn @ ( n9 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n9_n8_n1) ).
thf(633,plain,
n1 @ rdnn @ ( n8 @ rdnn @ ( n9 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(343,axiom,
n3 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn34 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn34) ).
thf(805,plain,
n3 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn34 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(84,axiom,
n9 @ rdnn @ rdn_pos @ ( n9 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn9) ).
thf(508,plain,
n9 @ rdnn @ rdn_pos @ ( n9 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(111,axiom,
n9 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn98 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn98) ).
thf(541,plain,
n9 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn98 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(209,axiom,
n3 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn35 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn35) ).
thf(657,plain,
n3 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn35 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(308,axiom,
n5 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn57 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn57) ).
thf(765,plain,
n5 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn57 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(224,axiom,
n5 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn54 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn54) ).
thf(674,plain,
n5 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn54 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(102,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ rdn_positive_less ) )
& ( D @ rdn_pos @ ( B @ rdn_translate ) )
& ( C @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( B @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
thf(530,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ rdn_positive_less ) )
& ( D @ rdn_pos @ ( B @ rdn_translate ) )
& ( C @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( B @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(316,axiom,
! [A: $i,B: $i,C: $i] :
( ( A @ ( C @ ( B @ sum ) ) )
<=> ( C @ ( B @ ( A @ difference ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minus_entry_point) ).
thf(773,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( A @ difference ) ) )
=> ( A @ ( C @ ( B @ sum ) ) ) )
& ( ( A @ ( C @ ( B @ sum ) ) )
=> ( C @ ( B @ ( A @ difference ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(332,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn128 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn128) ).
thf(794,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn128 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(144,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n4 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n4_n0_n1) ).
thf(586,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n4 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(212,axiom,
n1 @ rdnn @ ( n5 @ rdnn @ ( n7 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n7_n5_n1) ).
thf(662,plain,
n1 @ rdnn @ ( n5 @ rdnn @ ( n7 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(266,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ ( n4 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n4_n2_n1) ).
thf(718,plain,
n1 @ rdnn @ ( n2 @ rdnn @ ( n4 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(6,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n4 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n4_n8_n0) ).
thf(412,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n4 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(295,axiom,
n4 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn45 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn45) ).
thf(750,plain,
n4 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn45 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(173,axiom,
n9 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n91 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn91) ).
thf(618,plain,
n9 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n91 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(18,axiom,
n4 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n41 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn41) ).
thf(425,plain,
n4 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n41 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(362,axiom,
n9 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn93 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn93) ).
thf(824,plain,
n9 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn93 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(290,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn125 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn125) ).
thf(745,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn125 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(132,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n108 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn108) ).
thf(573,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n108 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(239,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ ( n7 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n7_n2_n1) ).
thf(689,plain,
n1 @ rdnn @ ( n2 @ rdnn @ ( n7 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(35,axiom,
n7 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn71 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn71) ).
thf(444,plain,
n7 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn71 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(279,axiom,
n4 @ rdnn @ ( n3 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less34) ).
thf(733,plain,
n4 @ rdnn @ ( n3 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(158,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n117 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn117) ).
thf(601,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n117 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(88,axiom,
n1 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n19 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn19) ).
thf(513,plain,
n1 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n19 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(23,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n7 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n7_n8_n0) ).
thf(430,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n7 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(142,axiom,
n0 @ rdnn @ ( n0 @ rdnn @ ( n0 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n0_n0_n0) ).
thf(584,plain,
n0 @ rdnn @ ( n0 @ rdnn @ ( n0 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(357,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ ( n8 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n8_n2_n1) ).
thf(819,plain,
n1 @ rdnn @ ( n2 @ rdnn @ ( n8 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(16,axiom,
n7 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit7) ).
thf(423,plain,
n7 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(244,axiom,
n3 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn38 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn38) ).
thf(694,plain,
n3 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn38 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(278,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn12 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn12) ).
thf(732,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn12 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(315,axiom,
n3 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n34 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn34) ).
thf(772,plain,
n3 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n34 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(288,axiom,
n9 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n92 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn92) ).
thf(743,plain,
n9 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n92 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(137,axiom,
n1 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n18 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn18) ).
thf(579,plain,
n1 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n18 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(115,axiom,
n8 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit8) ).
thf(545,plain,
n8 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(7,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn100 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn100) ).
thf(413,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn100 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(364,axiom,
n1 @ rdnn @ ( n3 @ rdnn @ ( n5 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n5_n3_n1) ).
thf(826,plain,
n1 @ rdnn @ ( n3 @ rdnn @ ( n5 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(135,axiom,
n7 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n76 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn76) ).
thf(577,plain,
n7 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n76 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(259,axiom,
n4 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n42 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn42) ).
thf(711,plain,
n4 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n42 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(196,axiom,
n0 @ rdnn @ ( n6 @ rdnn @ ( n3 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n3_n6_n0) ).
thf(641,plain,
n0 @ rdnn @ ( n6 @ rdnn @ ( n3 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(36,axiom,
n9 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn94 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn94) ).
thf(445,plain,
n9 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn94 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(131,axiom,
n9 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n94 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn94) ).
thf(572,plain,
n9 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n94 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(342,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn102 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn102) ).
thf(804,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn102 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(110,axiom,
n0 @ rdnn @ ( n7 @ rdnn @ ( n6 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n6_n7_n0) ).
thf(540,plain,
n0 @ rdnn @ ( n7 @ rdnn @ ( n6 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(222,axiom,
n5 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn55 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn55) ).
thf(672,plain,
n5 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn55 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(168,axiom,
n8 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n81 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn81) ).
thf(611,plain,
n8 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n81 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(325,axiom,
n9 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn92 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn92) ).
thf(787,plain,
n9 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn92 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(261,axiom,
n5 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n53 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn53) ).
thf(713,plain,
n5 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n53 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(76,axiom,
n9 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn97 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn97) ).
thf(498,plain,
n9 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn97 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(369,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n12 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn12) ).
thf(831,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n12 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(231,axiom,
n9 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n95 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn95) ).
thf(681,plain,
n9 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n95 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(322,axiom,
n2 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn20 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn20) ).
thf(784,plain,
n2 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn20 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(13,axiom,
n8 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn89 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn89) ).
thf(419,plain,
n8 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn89 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(281,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n122 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn122) ).
thf(736,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n122 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ rdn_non_zero )
& ( C @ rdnn @ ( A @ rdnn @ rdn_positive_less ) ) )
=> ( B @ ( C @ rdnn @ rdn ) @ ( B @ ( A @ rdnn @ rdn ) @ rdn_positive_less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_multi_digit_low) ).
thf(451,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ rdn_non_zero )
& ( C @ rdnn @ ( A @ rdnn @ rdn_positive_less ) ) )
=> ( B @ ( C @ rdnn @ rdn ) @ ( B @ ( A @ rdnn @ rdn ) @ rdn_positive_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(282,axiom,
n3 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn31 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn31) ).
thf(737,plain,
n3 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn31 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(157,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ rdnn @ ( B @ rdnn @ rdn_positive_less ) )
& ( B @ rdnn @ ( A @ rdnn @ rdn_positive_less ) ) )
=> ( C @ rdnn @ ( A @ rdnn @ rdn_positive_less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less_transitivity) ).
thf(599,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ rdnn @ ( B @ rdnn @ rdn_positive_less ) )
& ( B @ rdnn @ ( A @ rdnn @ rdn_positive_less ) ) )
=> ( C @ rdnn @ ( A @ rdnn @ rdn_positive_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(396,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn123 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn123) ).
thf(863,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn123 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(307,axiom,
n5 @ rdnn @ ( n4 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less45) ).
thf(764,plain,
n5 @ rdnn @ ( n4 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(161,axiom,
n7 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n74 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn74) ).
thf(604,plain,
n7 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n74 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(85,axiom,
! [A: $i] :
( ( A @ rdnn @ rdn_non_zero_digit )
=> ( A @ rdnn @ rdn_non_zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
thf(509,plain,
! [A: $i] :
( ( A @ rdnn @ rdn_non_zero_digit )
=> ( A @ rdnn @ rdn_non_zero ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ rdn_pos @ ( B @ rdn_translate ) )
& ( C @ rdn_neg @ ( A @ rdn_translate ) ) )
=> ( B @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
thf(434,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ rdn_pos @ ( B @ rdn_translate ) )
& ( C @ rdn_neg @ ( A @ rdn_translate ) ) )
=> ( B @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(58,axiom,
n1 @ rdnn @ ( n4 @ rdnn @ ( n6 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n6_n4_n1) ).
thf(477,plain,
n1 @ rdnn @ ( n4 @ rdnn @ ( n6 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(349,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn126 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn126) ).
thf(811,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn126 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(72,axiom,
n8 @ rdnn @ rdn_neg @ ( nn8 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn8) ).
thf(494,plain,
n8 @ rdnn @ rdn_neg @ ( nn8 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(186,axiom,
n1 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn19 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn19) ).
thf(631,plain,
n1 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn19 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(301,axiom,
n2 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n27 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn27) ).
thf(758,plain,
n2 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n27 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(105,axiom,
n1 @ rdnn @ ( n4 @ rdnn @ ( n8 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n8_n4_n1) ).
thf(535,plain,
n1 @ rdnn @ ( n4 @ rdnn @ ( n8 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(354,axiom,
n2 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn25 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn25) ).
thf(816,plain,
n2 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn25 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(166,axiom,
n7 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn74 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn74) ).
thf(609,plain,
n7 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn74 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(152,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ ( n7 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n7_n1_n1) ).
thf(594,plain,
n1 @ rdnn @ ( n1 @ rdnn @ ( n7 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(176,axiom,
n6 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn61 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn61) ).
thf(621,plain,
n6 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn61 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(62,axiom,
n9 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n90 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn90) ).
thf(483,plain,
n9 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n90 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(181,axiom,
n7 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn70 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn70) ).
thf(626,plain,
n7 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn70 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(312,axiom,
n8 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n85 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn85) ).
thf(769,plain,
n8 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n85 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(218,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ ( n3 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n3_n2_n1) ).
thf(668,plain,
n1 @ rdnn @ ( n2 @ rdnn @ ( n3 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(52,axiom,
n9 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n98 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn98) ).
thf(462,plain,
n9 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n98 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(391,axiom,
n4 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn43 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn43) ).
thf(858,plain,
n4 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn43 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(122,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n114 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn114) ).
thf(552,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n114 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(337,axiom,
n8 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn85 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn85) ).
thf(799,plain,
n8 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn85 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(272,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn127 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn127) ).
thf(726,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn127 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(383,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn115 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn115) ).
thf(848,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn115 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(250,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ ( n3 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n3_n1_n1) ).
thf(700,plain,
n1 @ rdnn @ ( n1 @ rdnn @ ( n3 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(95,axiom,
n9 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn96 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn96) ).
thf(520,plain,
n9 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn96 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(401,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ sum ) ) )
& ( C @ ( B @ ( A @ sum ) ) ) )
=> ( C = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_sum) ).
thf(868,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ sum ) ) )
& ( C @ ( B @ ( A @ sum ) ) ) )
=> ( C = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(318,axiom,
n5 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n54 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn54) ).
thf(780,plain,
n5 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n54 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(45,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n10 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn10) ).
thf(455,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n10 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(165,axiom,
n8 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n86 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn86) ).
thf(608,plain,
n8 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n86 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(386,axiom,
n2 @ rdnn @ rdn_neg @ ( nn2 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn2) ).
thf(851,plain,
n2 @ rdnn @ rdn_neg @ ( nn2 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(24,axiom,
n7 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n78 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn78) ).
thf(431,plain,
n7 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n78 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(205,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn121 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn121) ).
thf(653,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn121 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(210,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ rdn_pos @ ( C @ rdn_translate ) )
& ( D @ ( F @ ( E @ ( n0 @ rdnn @ rdn_add_with_carry ) ) ) )
& ( D @ ( E @ rdn_positive_less ) )
& ( E @ rdn_neg @ ( B @ rdn_translate ) )
& ( D @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_neg_2) ).
thf(658,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ rdn_pos @ ( C @ rdn_translate ) )
& ( D @ ( F @ ( E @ ( n0 @ rdnn @ rdn_add_with_carry ) ) ) )
& ( D @ ( E @ rdn_positive_less ) )
& ( E @ rdn_neg @ ( B @ rdn_translate ) )
& ( D @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(235,axiom,
n8 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn83 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn83) ).
thf(685,plain,
n8 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn83 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(96,axiom,
! [A: $i,B: $i] :
( ( B @ rdn_non_zero )
=> ( B @ ( A @ rdnn @ rdn ) @ rdn_non_zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_non_zero_by_structure) ).
thf(521,plain,
! [A: $i,B: $i] :
( ( B @ rdn_non_zero )
=> ( B @ ( A @ rdnn @ rdn ) @ rdn_non_zero ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(311,axiom,
n5 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n52 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn52) ).
thf(768,plain,
n5 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n52 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(365,axiom,
n5 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn53 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn53) ).
thf(827,plain,
n5 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn53 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(191,axiom,
n2 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n24 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn24) ).
thf(636,plain,
n2 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n24 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(245,axiom,
n2 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn27 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn27) ).
thf(695,plain,
n2 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn27 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(81,axiom,
n4 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn47 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn47) ).
thf(505,plain,
n4 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn47 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(29,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n9 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n9_n9_n0) ).
thf(438,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n9 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(19,axiom,
n4 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn41 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn41) ).
thf(426,plain,
n4 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn41 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(147,axiom,
n0 @ rdnn @ ( n7 @ rdnn @ ( n7 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n7_n7_n0) ).
thf(589,plain,
n0 @ rdnn @ ( n7 @ rdnn @ ( n7 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(350,axiom,
n3 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n33 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn33) ).
thf(812,plain,
n3 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n33 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(294,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n113 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn113) ).
thf(749,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n113 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(91,axiom,
n1 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n17 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn17) ).
thf(516,plain,
n1 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n17 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(123,axiom,
n1 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit1) ).
thf(553,plain,
n1 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(374,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n2 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n2_n8_n0) ).
thf(836,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n2 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(68,axiom,
n0 @ rdnn @ ( n1 @ rdnn @ ( n0 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n0_n1_n0) ).
thf(490,plain,
n0 @ rdnn @ ( n1 @ rdnn @ ( n0 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(225,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n120 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn120) ).
thf(675,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n120 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(333,axiom,
n1 @ rdnn @ ( n5 @ rdnn @ ( n8 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n8_n5_n1) ).
thf(795,plain,
n1 @ rdnn @ ( n5 @ rdnn @ ( n8 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(230,axiom,
n1 @ rdnn @ ( n4 @ rdnn @ ( n9 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n9_n4_n1) ).
thf(680,plain,
n1 @ rdnn @ ( n4 @ rdnn @ ( n9 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(213,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n3 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n3_n0_n1) ).
thf(663,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n3 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(118,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn107 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn107) ).
thf(548,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn107 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(203,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( B @ sum ) ) )
& ( D @ ( C @ ( A @ sum ) ) ) )
=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_LHS) ).
thf(648,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( B @ sum ) ) )
& ( D @ ( C @ ( A @ sum ) ) ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(66,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ rdn_non_zero )
=> ( C @ ( B @ rdnn @ rdn ) @ ( A @ rdnn @ rdn_positive_less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
thf(487,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ rdn_non_zero )
=> ( C @ ( B @ rdnn @ rdn ) @ ( A @ rdnn @ rdn_positive_less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(48,axiom,
n9 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn99 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn99) ).
thf(458,plain,
n9 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn99 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(361,axiom,
n1 @ rdnn @ ( n4 @ rdnn @ ( n5 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n5_n4_n1) ).
thf(823,plain,
n1 @ rdnn @ ( n4 @ rdnn @ ( n5 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(260,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n102 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn102) ).
thf(712,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n102 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(138,axiom,
n9 @ rdnn @ ( n8 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less89) ).
thf(580,plain,
n9 @ rdnn @ ( n8 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(240,axiom,
n9 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn95 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn95) ).
thf(690,plain,
n9 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn95 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(195,axiom,
n2 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn29 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn29) ).
thf(640,plain,
n2 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn29 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(255,axiom,
n3 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n36 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn36) ).
thf(707,plain,
n3 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n36 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(8,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n116 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn116) ).
thf(414,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n116 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(284,axiom,
n0 @ rdnn @ ( n7 @ rdnn @ ( n4 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n4_n7_n0) ).
thf(739,plain,
n0 @ rdnn @ ( n7 @ rdnn @ ( n4 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(3,axiom,
n4 @ rdnn @ rdn_neg @ ( nn4 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn4) ).
thf(409,plain,
n4 @ rdnn @ rdn_neg @ ( nn4 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(223,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n126 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn126) ).
thf(673,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n126 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(329,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n125 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn125) ).
thf(791,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n125 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(32,axiom,
n6 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn68 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn68) ).
thf(441,plain,
n6 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn68 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(143,axiom,
n6 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit6) ).
thf(585,plain,
n6 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(265,axiom,
n0 @ rdnn @ ( n6 @ rdnn @ ( n2 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n2_n6_n0) ).
thf(717,plain,
n0 @ rdnn @ ( n6 @ rdnn @ ( n2 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(78,axiom,
n7 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n71 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn71) ).
thf(502,plain,
n7 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n71 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(378,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ sum ) ) )
& ( D @ ( B @ ( A @ sum ) ) ) )
=> ( B = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_RHS) ).
thf(840,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ sum ) ) )
& ( D @ ( B @ ( A @ sum ) ) ) )
=> ( B = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(53,axiom,
n4 @ rdnn @ rdn_pos @ ( n4 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn4) ).
thf(463,plain,
n4 @ rdnn @ rdn_pos @ ( n4 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(134,axiom,
n1 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn18 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn18) ).
thf(576,plain,
n1 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_neg @ ( nn18 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(346,axiom,
n1 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn15 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn15) ).
thf(808,plain,
n1 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn15 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(198,axiom,
n0 @ rdnn @ ( n4 @ rdnn @ ( n1 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n1_n4_n0) ).
thf(643,plain,
n0 @ rdnn @ ( n4 @ rdnn @ ( n1 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(114,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n1 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n7_n1_n8_n0) ).
thf(544,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n1 @ rdnn @ ( n7 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(289,axiom,
n0 @ rdnn @ ( n3 @ rdnn @ ( n3 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n3_n3_n0) ).
thf(744,plain,
n0 @ rdnn @ ( n3 @ rdnn @ ( n3 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(253,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( A @ ( B @ sum ) ) )
& ( E @ rdn_pos @ ( B @ rdn_translate ) )
& ( D @ rdn_neg @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_neg_pos) ).
thf(703,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( A @ ( B @ sum ) ) )
& ( E @ rdn_pos @ ( B @ rdn_translate ) )
& ( D @ rdn_neg @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(208,axiom,
n3 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn36 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn36) ).
thf(656,plain,
n3 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn36 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(170,axiom,
n4 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n40 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn40) ).
thf(613,plain,
n4 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n40 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(397,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn120 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn120) ).
thf(864,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn120 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(273,axiom,
n0 @ rdnn @ ( n6 @ rdnn @ ( n4 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n4_n6_n0) ).
thf(727,plain,
n0 @ rdnn @ ( n6 @ rdnn @ ( n4 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(153,axiom,
n1 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn14 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn14) ).
thf(595,plain,
n1 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn14 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(169,axiom,
n7 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn77 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn77) ).
thf(612,plain,
n7 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn77 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(75,axiom,
n7 @ rdnn @ rdn_neg @ ( nn7 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn7) ).
thf(497,plain,
n7 @ rdnn @ rdn_neg @ ( nn7 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(392,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n127 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn127) ).
thf(859,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n127 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(37,axiom,
n0 @ rdnn @ ( n7 @ rdnn @ ( n1 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n1_n7_n0) ).
thf(446,plain,
n0 @ rdnn @ ( n7 @ rdnn @ ( n1 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(130,axiom,
n7 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n77 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn77) ).
thf(571,plain,
n7 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n77 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(380,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ ( n2 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n2_n1_n1) ).
thf(845,plain,
n1 @ rdnn @ ( n1 @ rdnn @ ( n2 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(182,axiom,
n9 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn91 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn91) ).
thf(627,plain,
n9 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn91 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(41,axiom,
n6 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n60 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn60) ).
thf(450,plain,
n6 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n60 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(109,axiom,
n6 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n68 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn68) ).
thf(539,plain,
n6 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n68 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(61,axiom,
n4 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn46 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn46) ).
thf(482,plain,
n4 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn46 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(221,axiom,
n0 @ rdnn @ ( n5 @ rdnn @ ( n1 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n1_n5_n0) ).
thf(671,plain,
n0 @ rdnn @ ( n5 @ rdnn @ ( n1 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(238,axiom,
n7 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn73 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn73) ).
thf(688,plain,
n7 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn73 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(73,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n8 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n8_n9_n0) ).
thf(495,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n8 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(302,axiom,
n6 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn62 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn62) ).
thf(759,plain,
n6 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn62 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(379,axiom,
n6 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n65 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn65) ).
thf(844,plain,
n6 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n65 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(314,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n115 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn115) ).
thf(771,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n115 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(98,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( D @ rdn_positive_less ) )
& ( D @ rdn_neg @ ( B @ rdn_translate ) )
& ( C @ rdn_neg @ ( A @ rdn_translate ) ) )
=> ( B @ ( A @ less ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_neg) ).
thf(524,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( C @ ( D @ rdn_positive_less ) )
& ( D @ rdn_neg @ ( B @ rdn_translate ) )
& ( C @ rdn_neg @ ( A @ rdn_translate ) ) )
=> ( B @ ( A @ less ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(139,axiom,
n9 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n99 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn99) ).
thf(581,plain,
n9 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n99 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(351,axiom,
n0 @ rdnn @ ( n2 @ rdnn @ ( n1 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n1_n1_n2_n0) ).
thf(813,plain,
n0 @ rdnn @ ( n2 @ rdnn @ ( n1 @ rdnn @ ( n1 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(92,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn110 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn110) ).
thf(517,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn110 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(293,axiom,
n7 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn75 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn75) ).
thf(748,plain,
n7 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn75 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(204,axiom,
n1 @ rdnn @ ( n3 @ rdnn @ ( n4 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n4_n3_n1) ).
thf(652,plain,
n1 @ rdnn @ ( n3 @ rdnn @ ( n4 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(187,axiom,
n1 @ rdnn @ rdn_pos @ ( n1 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn1) ).
thf(632,plain,
n1 @ rdnn @ rdn_pos @ ( n1 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(319,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n7 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n7_n0_n1) ).
thf(781,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n7 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(146,axiom,
n8 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn84 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn84) ).
thf(588,plain,
n8 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn84 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(249,axiom,
n3 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n30 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn30) ).
thf(699,plain,
n3 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n30 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(277,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn124 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn124) ).
thf(731,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n4 @ rdnn @ rdn ) @ rdn_neg @ ( nn124 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(12,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn106 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn106) ).
thf(418,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn106 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(324,axiom,
n1 @ rdnn @ ( n3 @ rdnn @ ( n7 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n7_n3_n1) ).
thf(786,plain,
n1 @ rdnn @ ( n3 @ rdnn @ ( n7 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(26,axiom,
n6 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n69 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn69) ).
thf(433,plain,
n6 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n69 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(217,axiom,
n7 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n75 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn75) ).
thf(667,plain,
n7 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n75 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(59,axiom,
n6 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn66 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn66) ).
thf(478,plain,
n6 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn66 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(306,axiom,
n3 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn39 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn39) ).
thf(763,plain,
n3 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn39 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(119,axiom,
n7 @ rdnn @ rdn_pos @ ( n7 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn7) ).
thf(549,plain,
n7 @ rdnn @ rdn_pos @ ( n7 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(106,axiom,
n6 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn67 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn67) ).
thf(536,plain,
n6 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_neg @ ( nn67 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(370,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n8 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n8_n0_n1) ).
thf(832,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n8 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(234,axiom,
n3 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n32 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn32) ).
thf(684,plain,
n3 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n32 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(264,axiom,
n0 @ rdnn @ ( n7 @ rdnn @ ( n3 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n4_n3_n7_n0) ).
thf(716,plain,
n0 @ rdnn @ ( n7 @ rdnn @ ( n3 @ rdnn @ ( n4 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(338,axiom,
n6 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n62 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn62) ).
thf(800,plain,
n6 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_pos @ ( n62 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(175,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn_positive_less ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less01) ).
thf(620,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn_positive_less ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(297,axiom,
n1 @ rdnn @ ( n5 @ rdnn @ ( n9 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n9_n5_n1) ).
thf(752,plain,
n1 @ rdnn @ ( n5 @ rdnn @ ( n9 @ rdnn @ ( n6 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(38,axiom,
n0 @ rdnn @ ( n6 @ rdnn @ ( n6 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n6_n6_n0) ).
thf(447,plain,
n0 @ rdnn @ ( n6 @ rdnn @ ( n6 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(25,axiom,
n7 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn79 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn79) ).
thf(432,plain,
n7 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn79 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(373,axiom,
n5 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn51 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn51) ).
thf(835,plain,
n5 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_neg @ ( nn51 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(356,axiom,
n5 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n57 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn57) ).
thf(818,plain,
n5 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n57 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(389,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ rdn_neg @ ( B @ rdn_translate ) )
& ( C @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( n0 @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).
thf(854,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ rdn_neg @ ( B @ rdn_translate ) )
& ( C @ rdn_pos @ ( A @ rdn_translate ) ) )
=> ( n0 @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(328,axiom,
n5 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n56 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn56) ).
thf(790,plain,
n5 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n56 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(400,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n123 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn123) ).
thf(867,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_pos @ ( n123 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(398,axiom,
n1 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn13 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn13) ).
thf(865,plain,
n1 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn13 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(160,axiom,
n9 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit9) ).
thf(603,plain,
n9 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(371,axiom,
n0 @ rdnn @ ( n5 @ rdnn @ ( n3 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n3_n5_n0) ).
thf(833,plain,
n0 @ rdnn @ ( n5 @ rdnn @ ( n3 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(4,axiom,
n1 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n14 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn14) ).
thf(410,plain,
n1 @ rdnn @ ( n4 @ rdnn @ rdn ) @ rdn_pos @ ( n14 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(339,axiom,
n1 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n15 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn15) ).
thf(801,plain,
n1 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_pos @ ( n15 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(82,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ ( n1 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n9_n1_n0_n1) ).
thf(506,plain,
n1 @ rdnn @ ( n0 @ rdnn @ ( n1 @ rdnn @ ( n9 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(345,axiom,
n8 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn82 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn82) ).
thf(807,plain,
n8 @ rdnn @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn82 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(28,axiom,
n4 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn40 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn40) ).
thf(437,plain,
n4 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_neg @ ( nn40 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(214,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn112 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn112) ).
thf(664,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn112 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(366,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ ( n6 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n6_n1_n1) ).
thf(828,plain,
n1 @ rdnn @ ( n1 @ rdnn @ ( n6 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(190,axiom,
n5 @ rdnn @ rdn_pos @ ( n5 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn5) ).
thf(635,plain,
n5 @ rdnn @ rdn_pos @ ( n5 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(246,axiom,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn122 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn122) ).
thf(696,plain,
n1 @ rdnn @ ( n2 @ rdnn @ rdn ) @ ( n2 @ rdnn @ rdn ) @ rdn_neg @ ( nn122 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(268,axiom,
n2 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n20 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn20) ).
thf(720,plain,
n2 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n20 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(334,axiom,
n0 @ rdnn @ ( n2 @ rdnn @ ( n2 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n2_n2_n0) ).
thf(796,plain,
n0 @ rdnn @ ( n2 @ rdnn @ ( n2 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(9,axiom,
n8 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn86 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn86) ).
thf(415,plain,
n8 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn86 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(55,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n8 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n8_n8_n0) ).
thf(474,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n8 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(310,axiom,
n5 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n59 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn59) ).
thf(767,plain,
n5 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_pos @ ( n59 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ less ) )
<=> ( ( B != A )
& ~ ( A @ ( B @ less ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
thf(464,plain,
! [A: $i,B: $i] :
( ( ( ( B != A )
& ~ ( A @ ( B @ less ) ) )
=> ( B @ ( A @ less ) ) )
& ( ( B @ ( A @ less ) )
=> ( ( B != A )
& ~ ( A @ ( B @ less ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(20,axiom,
n8 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n80 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn80) ).
thf(427,plain,
n8 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n80 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(393,axiom,
n1 @ rdnn @ ( n3 @ rdnn @ ( n8 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n5_n8_n3_n1) ).
thf(860,plain,
n1 @ rdnn @ ( n3 @ rdnn @ ( n8 @ rdnn @ ( n5 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(154,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n11 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn11) ).
thf(596,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n11 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(100,axiom,
n1 @ rdnn @ rdn_neg @ ( nn1 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn1) ).
thf(528,plain,
n1 @ rdnn @ rdn_neg @ ( nn1 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(199,axiom,
n3 @ rdnn @ rdn_non_zero_digit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit3) ).
thf(644,plain,
n3 @ rdnn @ rdn_non_zero_digit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(49,axiom,
n6 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n66 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn66) ).
thf(459,plain,
n6 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n66 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(360,axiom,
n3 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n38 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn38) ).
thf(822,plain,
n3 @ rdnn @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n38 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(385,axiom,
n5 @ rdnn @ rdn_neg @ ( nn5 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn5) ).
thf(850,plain,
n5 @ rdnn @ rdn_neg @ ( nn5 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(241,axiom,
n6 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn65 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn65) ).
thf(691,plain,
n6 @ rdnn @ ( n5 @ rdnn @ rdn ) @ rdn_neg @ ( nn65 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(33,axiom,
n8 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n87 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn87) ).
thf(442,plain,
n8 @ rdnn @ ( n7 @ rdnn @ rdn ) @ rdn_pos @ ( n87 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(402,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ rdn_neg @ ( C @ rdn_translate ) )
& ( F @ ( E @ ( D @ ( n0 @ rdnn @ rdn_add_with_carry ) ) ) )
& ( E @ rdn_neg @ ( B @ rdn_translate ) )
& ( D @ rdn_neg @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_neg_neg) ).
thf(871,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( F @ rdn_neg @ ( C @ rdn_translate ) )
& ( F @ ( E @ ( D @ ( n0 @ rdnn @ rdn_add_with_carry ) ) ) )
& ( E @ rdn_neg @ ( B @ rdn_translate ) )
& ( D @ rdn_neg @ ( A @ rdn_translate ) ) )
=> ( C @ ( B @ ( A @ sum ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(164,axiom,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n100 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn100) ).
thf(607,plain,
n1 @ rdnn @ ( n0 @ rdnn @ rdn ) @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n100 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(179,axiom,
n9 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n96 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn96) ).
thf(624,plain,
n9 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_pos @ ( n96 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(377,axiom,
n0 @ rdnn @ ( n7 @ rdnn @ ( n5 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n2_n5_n7_n0) ).
thf(839,plain,
n0 @ rdnn @ ( n7 @ rdnn @ ( n5 @ rdnn @ ( n2 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(274,axiom,
n0 @ rdnn @ ( n9 @ rdnn @ ( n6 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n6_n9_n0) ).
thf(728,plain,
n0 @ rdnn @ ( n9 @ rdnn @ ( n6 @ rdnn @ ( n3 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(285,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn113 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn113) ).
thf(740,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn113 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(65,axiom,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n118 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn118) ).
thf(486,plain,
n1 @ rdnn @ ( n1 @ rdnn @ rdn ) @ ( n8 @ rdnn @ rdn ) @ rdn_pos @ ( n118 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(341,axiom,
n0 @ rdnn @ ( n5 @ rdnn @ ( n5 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n5_n5_n0) ).
thf(803,plain,
n0 @ rdnn @ ( n5 @ rdnn @ ( n5 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(113,axiom,
n6 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn69 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn69) ).
thf(543,plain,
n6 @ rdnn @ ( n9 @ rdnn @ rdn ) @ rdn_neg @ ( nn69 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(194,axiom,
n5 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n51 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn51) ).
thf(639,plain,
n5 @ rdnn @ ( n1 @ rdnn @ rdn ) @ rdn_pos @ ( n51 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(226,axiom,
n2 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn23 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn23) ).
thf(676,plain,
n2 @ rdnn @ ( n3 @ rdnn @ rdn ) @ rdn_neg @ ( nn23 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(69,axiom,
n1 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn16 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn16) ).
thf(491,plain,
n1 @ rdnn @ ( n6 @ rdnn @ rdn ) @ rdn_neg @ ( nn16 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(150,axiom,
n7 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n70 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn70) ).
thf(592,plain,
n7 @ rdnn @ ( n0 @ rdnn @ rdn ) @ rdn_pos @ ( n70 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(256,axiom,
n3 @ rdnn @ rdn_pos @ ( n3 @ rdn_translate ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn3) ).
thf(708,plain,
n3 @ rdnn @ rdn_pos @ ( n3 @ rdn_translate ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(74,axiom,
n0 @ rdnn @ ( n1 @ rdnn @ ( n1 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n0_n1_n1_n0) ).
thf(496,plain,
n0 @ rdnn @ ( n1 @ rdnn @ ( n1 @ rdnn @ ( n0 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(44,axiom,
n0 @ rdnn @ ( n8 @ rdnn @ ( n0 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n8_n0_n8_n0) ).
thf(454,plain,
n0 @ rdnn @ ( n8 @ rdnn @ ( n0 @ rdnn @ ( n8 @ rdnn @ rdn_digit_add ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(2022,plain,
$false,
inference(e,[status(thm)],[645,809,629,760,479,846,628,518,555,666,683,730,741,449,597,861,523,582,762,440,655,511,614,677,533,550,797,715,814,698,747,538,670,782,709,417,565,829,404,724,570,719,785,504,802,587,619,838,702,751,542,460,817,421,606,770,416,448,638,853,475,492,756,789,591,443,623,646,514,574,806,821,485,834,687,634,692,734,866,453,411,428,849,507,527,602,766,678,529,661,761,810,534,714,798,512,439,546,793,746,825,862,598,820,424,429,788,815,729,693,630,625,852,665,461,493,757,682,551,710,456,847,566,484,583,830,697,874,615,725,593,610,499,857,519,742,578,783,420,537,669,642,637,489,590,679,547,706,554,753,686,476,647,701,515,738,654,457,721,569,779,622,837,503,605,792,633,805,508,541,657,765,674,530,773,794,586,662,718,412,750,618,425,824,745,573,689,444,733,601,513,430,584,819,423,694,732,772,743,579,545,413,826,577,711,641,445,572,804,540,672,611,787,713,498,831,681,784,419,736,451,737,599,863,764,604,509,434,477,811,494,631,758,535,816,609,594,621,483,626,769,668,462,858,552,799,726,848,700,520,868,780,455,608,851,431,653,658,685,521,768,827,636,695,505,438,426,589,812,749,516,553,836,490,675,795,680,663,548,648,487,458,823,712,580,690,640,707,414,739,409,673,791,441,585,717,502,840,463,576,808,643,544,744,703,656,613,864,727,595,612,497,859,446,571,845,627,450,539,482,671,688,495,759,844,771,524,581,813,517,748,652,632,781,588,699,731,418,786,433,667,478,763,549,536,832,684,716,800,620,752,447,432,835,818,854,790,867,865,603,833,410,801,506,807,437,664,828,635,696,720,796,415,474,767,464,427,860,596,528,644,459,822,850,691,442,871,607,624,839,728,740,486,803,543,639,676,491,592,708,496,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM313+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sat Sep 26 02:26:02 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.30/1.25 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.46/1.74 % [INFO] Parsing done (486ms).
% 2.46/1.76 % [INFO] Running in sequential loop mode.
% 4.08/2.36 % [INFO] eprover registered as external prover.
% 4.08/2.37 % [INFO] Scanning for conjecture ...
% 4.82/2.65 % [INFO] Found a conjecture (or negated_conjecture) and 401 axioms. Running axiom selection ...
% 6.07/2.98 % [INFO] Axiom selection finished. Selected 401 axioms (removed 0 axioms).
% 7.79/3.31 % [INFO] Problem is first-order (TPTP FOF).
% 7.79/3.34 % [INFO] Type checking passed.
% 7.79/3.35 % [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 ...
% 62.03/19.74 % External prover 'e' found a proof!
% 62.03/19.74 % [INFO] Killing All external provers ...
% 62.03/19.74 % Time passed: 19145ms (effective reasoning time: 17969ms)
% 62.03/19.74 % 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)>
% 62.03/19.75 % 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
% 62.03/19.75 % No. of inferences in proof: 806
% 62.03/19.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 19145 ms resp. 17969 ms w/o parsing
% 62.80/19.97 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 62.80/19.98 % [INFO] Killing All external provers ...
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