TSTP Solution File: SWW662_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW662_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:09:24 EDT 2022
% Result : Theorem 114.81s 14.65s
% Output : Refutation 114.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 428
% Syntax : Number of formulae : 1531 ( 27 unt; 47 typ; 0 def)
% Number of atoms : 5446 (1356 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 6163 (2201 ~;3470 |; 61 &)
% ( 359 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number arithmetic : 13071 (1655 atm;4606 fun;5514 num;1296 var)
% Number of types : 8 ( 6 usr; 1 ari)
% Number of type conns : 64 ( 29 >; 35 *; 0 +; 0 <<)
% Number of predicates : 359 ( 355 usr; 354 prp; 0-2 aty)
% Number of functors : 50 ( 39 usr; 19 con; 0-5 aty)
% Number of variables : 1371 (1362 !; 9 ?;1371 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
map_int_int: $tType ).
tff(type_def_10,type,
array_int: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
abs1: $int > $int ).
tff(func_def_14,type,
div1: ( $int * $int ) > $int ).
tff(func_def_15,type,
mod1: ( $int * $int ) > $int ).
tff(func_def_18,type,
power1: ( $int * $int ) > $int ).
tff(func_def_20,type,
map: ( ty * ty ) > ty ).
tff(func_def_21,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_22,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_23,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_24,type,
array: ty > ty ).
tff(func_def_25,type,
mk_array1: ( ty * $int * uni ) > uni ).
tff(func_def_26,type,
length1: ( ty * uni ) > $int ).
tff(func_def_27,type,
elts: ( ty * uni ) > uni ).
tff(func_def_28,type,
get2: ( ty * uni * $int ) > uni ).
tff(func_def_29,type,
t2tb: $int > uni ).
tff(func_def_30,type,
tb2t: uni > $int ).
tff(func_def_31,type,
set2: ( ty * uni * $int * uni ) > uni ).
tff(func_def_32,type,
make1: ( ty * $int * uni ) > uni ).
tff(func_def_33,type,
sum2: ( map_int_int * $int * $int ) > $int ).
tff(func_def_34,type,
t2tb1: map_int_int > uni ).
tff(func_def_35,type,
tb2t1: uni > map_int_int ).
tff(func_def_36,type,
sum3: ( array_int * $int * $int ) > $int ).
tff(func_def_37,type,
t2tb2: array_int > uni ).
tff(func_def_38,type,
tb2t2: uni > array_int ).
tff(func_def_40,type,
sK0: $int > $int ).
tff(func_def_41,type,
sK1: $int ).
tff(func_def_42,type,
sK2: ( map_int_int * map_int_int * $int * $int ) > $int ).
tff(func_def_52,type,
'$inst4': $int ).
tff(func_def_58,type,
'$inst5': $int ).
tff(func_def_59,type,
'$inst6': $int ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_4,type,
is_power_of_21: $int > $o ).
tff(f11443,plain,
$false,
inference(avatar_smt_refutation,[],[f372,f377,f382,f389,f394,f435,f444,f453,f462,f475,f525,f572,f817,f1075,f1079,f1084,f1092,f1096,f1100,f1105,f1115,f1124,f1499,f1504,f1515,f1520,f1525,f1544,f1555,f1564,f1570,f2248,f2285,f2287,f2308,f2373,f2382,f2383,f2392,f2413,f2422,f2446,f2487,f2512,f2748,f2805,f2857,f2858,f2863,f2871,f2872,f2962,f2967,f2973,f2978,f2983,f2992,f3047,f3153,f3302,f3370,f3448,f3453,f3462,f3467,f3474,f3479,f3484,f3503,f3511,f3560,f3781,f4370,f4633,f5053,f5429,f5472,f5477,f5486,f5902,f6147,f6338,f6348,f6354,f6355,f6363,f6374,f6387,f6396,f6409,f6418,f6455,f6456,f6938,f7036,f7045,f7053,f7061,f7066,f7067,f7068,f7076,f7077,f7086,f7090,f7095,f7099,f7108,f7113,f7119,f7121,f7125,f7131,f7175,f7179,f7191,f7199,f7208,f7216,f7222,f7706,f7714,f7725,f7730,f7761,f7858,f7863,f7867,f7868,f7872,f7880,f7892,f7896,f7898,f7899,f7903,f7907,f7911,f7920,f7951,f7984,f8015,f8023,f8033,f8038,f8043,f8047,f8056,f8060,f8064,f8079,f8083,f8355,f8362,f8371,f8380,f8416,f8420,f8424,f8484,f8485,f8493,f8498,f8556,f8562,f8577,f8615,f8620,f8636,f8641,f8646,f8651,f8656,f8661,f8666,f8671,f8676,f8680,f8684,f8688,f8692,f8696,f8700,f8704,f8708,f8712,f8716,f8720,f8724,f8728,f8732,f8736,f8740,f8744,f8750,f8754,f8758,f8762,f8766,f8770,f8774,f8778,f8783,f8787,f8791,f8795,f8799,f8803,f8807,f8812,f8816,f8820,f8824,f8889,f8908,f9014,f9020,f9025,f9028,f9030,f9036,f9069,f9070,f9075,f9080,f9089,f9098,f9100,f9101,f9218,f9227,f9237,f9241,f9245,f9260,f9299,f9320,f9327,f9361,f9366,f9375,f9475,f9485,f9498,f9535,f9594,f9603,f9607,f9707,f9712,f9717,f9722,f9753,f9775,f9809,f9842,f9850,f9855,f9886,f9942,f10231,f10240,f10256,f10262,f10274,f10281,f10288,f10296,f10510,f10548,f10580,f10603,f10608,f10676,f10677,f10678,f10684,f10749,f10750,f10878,f11008,f11023,f11061,f11118,f11210,f11225,f11247,f11440,f11442]) ).
tff(f11442,plain,
( ~ spl3_333
| ~ spl3_220
| spl3_275 ),
inference(avatar_split_clause,[],[f11441,f9082,f8612,f10285]) ).
tff(f10285,plain,
( spl3_333
<=> ( sK0(sK1) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_333])]) ).
tff(f8612,plain,
( spl3_220
<=> ( sK1 = $sum(sK1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_220])]) ).
tff(f9082,plain,
( spl3_275
<=> ( sK0($sum(sK1,$uminus(div1(0,2)))) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_275])]) ).
tff(f11441,plain,
( ( sK0(sK1) != $product(sK0(sK1),1) )
| ~ spl3_220
| spl3_275 ),
inference(forward_demodulation,[],[f11439,f8614]) ).
tff(f8614,plain,
( ( sK1 = $sum(sK1,0) )
| ~ spl3_220 ),
inference(avatar_component_clause,[],[f8612]) ).
tff(f11439,plain,
( ( sK0($sum(sK1,0)) != $product(sK0(sK1),1) )
| spl3_275 ),
inference(evaluation,[],[f11431]) ).
tff(f11431,plain,
( $less(0,$sum($sum(0,1),$uminus(2)))
| ( sK0($sum(sK1,$uminus(0))) != $product(sK0(sK1),1) )
| $less(0,$sum(0,$uminus(0)))
| spl3_275 ),
inference(superposition,[],[f9084,f350]) ).
tff(f350,plain,
! [X0: $int,X1: $int] :
( ( 0 = div1(X1,X0) )
| $less(0,$sum($sum(X1,1),$uminus(X0)))
| $less(0,$sum(0,$uminus(X1))) ),
inference(evaluation,[],[f267]) ).
tff(f267,plain,
! [X0: $int,X1: $int] :
( ( 0 = div1(X1,X0) )
| ~ $less(X1,X0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f214]) ).
tff(f214,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| ( 0 = div1(X1,X0) )
| ~ $less(X1,X0) ),
inference(rectify,[],[f186]) ).
tff(f186,plain,
! [X1: $int,X0: $int] :
( $less(X0,0)
| ( 0 = div1(X0,X1) )
| ~ $less(X0,X1) ),
inference(flattening,[],[f185]) ).
tff(f185,plain,
! [X1: $int,X0: $int] :
( ( 0 = div1(X0,X1) )
| ~ $less(X0,X1)
| $less(X0,0) ),
inference(ennf_transformation,[],[f149]) ).
tff(f149,plain,
! [X1: $int,X0: $int] :
( ( $less(X0,X1)
& ~ $less(X0,0) )
=> ( 0 = div1(X0,X1) ) ),
inference(rectify,[],[f90]) ).
tff(f90,plain,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& ~ $less(X1,0) )
=> ( 0 = div1(X1,X7) ) ),
inference(theory_normalization,[],[f22]) ).
tff(f22,axiom,
! [X1: $int,X7: $int] :
( ( $less(X1,X7)
& $lesseq(0,X1) )
=> ( 0 = div1(X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_inf) ).
tff(f9084,plain,
( ( sK0($sum(sK1,$uminus(div1(0,2)))) != $product(sK0(sK1),1) )
| spl3_275 ),
inference(avatar_component_clause,[],[f9082]) ).
tff(f11440,plain,
( ~ spl3_333
| ~ spl3_270
| ~ spl3_220
| spl3_275 ),
inference(avatar_split_clause,[],[f11434,f9082,f8612,f9017,f10285]) ).
tff(f9017,plain,
( spl3_270
<=> ( 0 = $uminus(div1(0,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_270])]) ).
tff(f11434,plain,
( ( 0 != $uminus(div1(0,2)) )
| ( sK0(sK1) != $product(sK0(sK1),1) )
| ~ spl3_220
| spl3_275 ),
inference(constrained_superposition,[],[f9084,f8614]) ).
tff(f11247,plain,
spl3_325,
inference(avatar_contradiction_clause,[],[f11246]) ).
tff(f11246,plain,
( $false
| spl3_325 ),
inference(evaluation,[],[f11245]) ).
tff(f11245,plain,
( $less(0,$sum(0,$uminus(0)))
| spl3_325 ),
inference(trivial_inequality_removal,[],[f11241]) ).
tff(f11241,plain,
( $less(0,$sum(0,$uminus(0)))
| ( 0 != 0 )
| spl3_325 ),
inference(superposition,[],[f10229,f346]) ).
tff(f346,plain,
! [X0: $int] :
( ( abs1(X0) = X0 )
| $less(0,$sum(0,$uminus(X0))) ),
inference(evaluation,[],[f274]) ).
tff(f274,plain,
! [X0: $int] :
( ( abs1(X0) = X0 )
| $less(X0,0) ),
inference(cnf_transformation,[],[f162]) ).
tff(f162,plain,
! [X0: $int] :
( ( $less(X0,0)
| ( abs1(X0) = X0 ) )
& ( ( abs1(X0) = $uminus(X0) )
| ~ $less(X0,0) ) ),
inference(ennf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: $int] :
( ( ~ $less(X0,0)
=> ( abs1(X0) = X0 ) )
& ( $less(X0,0)
=> ( abs1(X0) = $uminus(X0) ) ) ),
inference(rectify,[],[f75]) ).
tff(f75,plain,
! [X1: $int] :
( ( ~ $less(X1,0)
=> ( abs1(X1) = X1 ) )
& ( $less(X1,0)
=> ( abs1(X1) = $uminus(X1) ) ) ),
inference(theory_normalization,[],[f9]) ).
tff(f9,axiom,
! [X1: $int] :
( ( $lesseq(0,X1)
=> ( abs1(X1) = X1 ) )
& ( ~ $lesseq(0,X1)
=> ( abs1(X1) = $uminus(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_def) ).
tff(f10229,plain,
( ( 0 != abs1(0) )
| spl3_325 ),
inference(avatar_component_clause,[],[f10228]) ).
tff(f10228,plain,
( spl3_325
<=> ( 0 = abs1(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_325])]) ).
tff(f11225,plain,
( spl3_16
| spl3_353
| ~ spl3_325 ),
inference(avatar_split_clause,[],[f11136,f10228,f11222,f522]) ).
tff(f522,plain,
( spl3_16
<=> $less(0,$sum(0,abs1(1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
tff(f11222,plain,
( spl3_353
<=> ( 1 = abs1(1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_353])]) ).
tff(f11136,plain,
( ( 1 = abs1(1) )
| $less(0,$sum(0,abs1(1)))
| ~ spl3_325 ),
inference(superposition,[],[f10332,f259]) ).
tff(f259,plain,
! [X0: $int] : ( 0 = mod1(X0,1) ),
inference(cnf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0: $int] : ( 0 = mod1(X0,1) ),
inference(rectify,[],[f21]) ).
tff(f21,axiom,
! [X1: $int] : ( 0 = mod1(X1,1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_1) ).
tff(f10332,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(mod1(X1,X0),abs1(X0)))
| ( abs1(X0) = X0 ) )
| ~ spl3_325 ),
inference(superposition,[],[f10230,f339]) ).
tff(f339,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(mod1(X0,X1),abs1(X1)))
| ( 0 = X1 ) ),
inference(evaluation,[],[f306]) ).
tff(f306,plain,
! [X0: $int,X1: $int] :
( $less($uminus(abs1(X1)),mod1(X0,X1))
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f232]) ).
tff(f232,plain,
! [X0: $int,X1: $int] :
( ( $less(mod1(X0,X1),abs1(X1))
& $less($uminus(abs1(X1)),mod1(X0,X1)) )
| ( 0 = X1 ) ),
inference(rectify,[],[f190]) ).
tff(f190,plain,
! [X1: $int,X0: $int] :
( ( $less(mod1(X1,X0),abs1(X0))
& $less($uminus(abs1(X0)),mod1(X1,X0)) )
| ( 0 = X0 ) ),
inference(ennf_transformation,[],[f110]) ).
tff(f110,plain,
! [X0: $int,X1: $int] :
( ( 0 != X0 )
=> ( $less(mod1(X1,X0),abs1(X0))
& $less($uminus(abs1(X0)),mod1(X1,X0)) ) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X7: $int,X1: $int] :
( ( 0 != X7 )
=> ( $less(mod1(X1,X7),abs1(X7))
& $less($uminus(abs1(X7)),mod1(X1,X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_bound) ).
tff(f10230,plain,
( ( 0 = abs1(0) )
| ~ spl3_325 ),
inference(avatar_component_clause,[],[f10228]) ).
tff(f11210,plain,
( spl3_104
| spl3_352
| ~ spl3_99
| ~ spl3_325 ),
inference(avatar_split_clause,[],[f11195,f10228,f5479,f11208,f6141]) ).
tff(f6141,plain,
( spl3_104
<=> $less(0,$sum(-1,$product(sK0(sK1),0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).
tff(f11208,plain,
( spl3_352
<=> ! [X102: $int] : $less(0,$sum(mod1(X102,$sum($product(sK0(sK1),0),-1)),abs1($sum($product(sK0(sK1),0),-1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_352])]) ).
tff(f5479,plain,
( spl3_99
<=> $less(0,$sum(0,abs1($sum($product(sK0(sK1),0),-1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).
tff(f11195,plain,
( ! [X102: $int] :
( $less(0,$sum(mod1(X102,$sum($product(sK0(sK1),0),-1)),abs1($sum($product(sK0(sK1),0),-1))))
| $less(0,$sum(-1,$product(sK0(sK1),0))) )
| ~ spl3_99
| ~ spl3_325 ),
inference(evaluation,[],[f11177]) ).
tff(f11177,plain,
( ! [X102: $int] :
( $less(0,$sum(0,$sum($product(sK0(sK1),0),-1)))
| $less(0,$sum(mod1(X102,$sum($product(sK0(sK1),0),-1)),abs1($sum($product(sK0(sK1),0),-1)))) )
| ~ spl3_99
| ~ spl3_325 ),
inference(superposition,[],[f5481,f10332]) ).
tff(f5481,plain,
( $less(0,$sum(0,abs1($sum($product(sK0(sK1),0),-1))))
| ~ spl3_99 ),
inference(avatar_component_clause,[],[f5479]) ).
tff(f11118,plain,
( ~ spl3_349
| spl3_350
| ~ spl3_351
| ~ spl3_10
| ~ spl3_326 ),
inference(avatar_split_clause,[],[f11088,f10233,f446,f11115,f11111,f11107]) ).
tff(f11107,plain,
( spl3_349
<=> ( sK0(div1(1,2)) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_349])]) ).
tff(f11111,plain,
( spl3_350
<=> $less(0,$sum(sK1,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_350])]) ).
tff(f11115,plain,
( spl3_351
<=> is_power_of_21(div1(1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_351])]) ).
tff(f446,plain,
( spl3_10
<=> ( sK1 = $product(2,power1(2,$sum(sK0(sK1),-1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
tff(f10233,plain,
( spl3_326
<=> $less(0,$sum($product(2,div1(1,2)),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_326])]) ).
tff(f11088,plain,
( ~ is_power_of_21(div1(1,2))
| $less(0,$sum(sK1,1))
| ( sK0(div1(1,2)) != $sum(sK0(sK1),-1) )
| ~ spl3_10
| ~ spl3_326 ),
inference(superposition,[],[f10235,f1049]) ).
tff(f1049,plain,
( ! [X1: $int] :
( ( $sum(sK0(sK1),-1) != sK0(X1) )
| ( sK1 = $product(2,X1) )
| ~ is_power_of_21(X1) )
| ~ spl3_10 ),
inference(constrained_superposition,[],[f448,f311]) ).
tff(f311,plain,
! [X0: $int] :
( ( power1(2,sK0(X0)) = X0 )
| ~ is_power_of_21(X0) ),
inference(cnf_transformation,[],[f237]) ).
tff(f237,plain,
! [X0: $int] :
( ~ is_power_of_21(X0)
| ( ~ $less(sK0(X0),0)
& ( power1(2,sK0(X0)) = X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f178,f236]) ).
tff(f236,plain,
! [X0: $int] :
( ? [X1: $int] :
( ~ $less(X1,0)
& ( power1(2,X1) = X0 ) )
=> ( ~ $less(sK0(X0),0)
& ( power1(2,sK0(X0)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
tff(f178,plain,
! [X0: $int] :
( ~ is_power_of_21(X0)
| ? [X1: $int] :
( ~ $less(X1,0)
& ( power1(2,X1) = X0 ) ) ),
inference(ennf_transformation,[],[f158]) ).
tff(f158,plain,
! [X0: $int] :
( is_power_of_21(X0)
=> ? [X1: $int] :
( ~ $less(X1,0)
& ( power1(2,X1) = X0 ) ) ),
inference(unused_predicate_definition_removal,[],[f135]) ).
tff(f135,plain,
! [X0: $int] :
( ? [X1: $int] :
( ~ $less(X1,0)
& ( power1(2,X1) = X0 ) )
<=> is_power_of_21(X0) ),
inference(rectify,[],[f83]) ).
tff(f83,plain,
! [X1: $int] :
( ? [X19: $int] :
( ( power1(2,X19) = X1 )
& ~ $less(X19,0) )
<=> is_power_of_21(X1) ),
inference(theory_normalization,[],[f66]) ).
tff(f66,axiom,
! [X1: $int] :
( ? [X19: $int] :
( ( power1(2,X19) = X1 )
& $lesseq(0,X19) )
<=> is_power_of_21(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_power_of_2_def) ).
tff(f448,plain,
( ( sK1 = $product(2,power1(2,$sum(sK0(sK1),-1))) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f446]) ).
tff(f10235,plain,
( $less(0,$sum($product(2,div1(1,2)),1))
| ~ spl3_326 ),
inference(avatar_component_clause,[],[f10233]) ).
tff(f11061,plain,
~ spl3_327,
inference(avatar_contradiction_clause,[],[f11060]) ).
tff(f11060,plain,
( $false
| ~ spl3_327 ),
inference(evaluation,[],[f11045]) ).
tff(f11045,plain,
( $less(0,$sum($sum(1,1),$uminus(2)))
| $less(0,$sum(0,$uminus(1)))
| $less(0,$sum(0,$uminus($sum($product(2,0),1))))
| ~ spl3_327 ),
inference(superposition,[],[f10239,f350]) ).
tff(f10239,plain,
( $less(0,$sum(0,$uminus($sum($product(2,div1(1,2)),1))))
| ~ spl3_327 ),
inference(avatar_component_clause,[],[f10237]) ).
tff(f10237,plain,
( spl3_327
<=> $less(0,$sum(0,$uminus($sum($product(2,div1(1,2)),1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_327])]) ).
tff(f11023,plain,
( spl3_348
| spl3_159
| ~ spl3_208
| spl3_346 ),
inference(avatar_split_clause,[],[f11019,f11001,f8414,f7210,f11021]) ).
tff(f11021,plain,
( spl3_348
<=> ! [X2: $int] :
( $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X2,sK1))))))
| ( $sum(sK1,mod1(X2,sK1)) != $product(sK0(sK1),1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_348])]) ).
tff(f7210,plain,
( spl3_159
<=> $less(0,$sum(1,$uminus(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_159])]) ).
tff(f8414,plain,
( spl3_208
<=> ! [X3: $int] :
( ( $sum($product(sK1,$sum(1,$uminus(div1(X3,sK1)))),X3) = $sum(sK1,mod1(X3,sK1)) )
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X3,sK1))))))
| $less(0,$sum(0,$uminus(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_208])]) ).
tff(f11001,plain,
( spl3_346
<=> ( 1 = div1($product(sK0(sK1),1),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_346])]) ).
tff(f11019,plain,
( ! [X2: $int] :
( $less(0,$sum(1,$uminus(sK1)))
| $less(0,$sum(0,$uminus(X2)))
| ( $sum(sK1,mod1(X2,sK1)) != $product(sK0(sK1),1) )
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X2,sK1)))))) )
| ~ spl3_208
| spl3_346 ),
inference(forward_subsumption_demodulation,[],[f11018,f8415]) ).
tff(f8415,plain,
( ! [X3: $int] :
( $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X3,sK1))))))
| $less(0,$sum(0,$uminus(X3)))
| ( $sum($product(sK1,$sum(1,$uminus(div1(X3,sK1)))),X3) = $sum(sK1,mod1(X3,sK1)) ) )
| ~ spl3_208 ),
inference(avatar_component_clause,[],[f8414]) ).
tff(f11018,plain,
( ! [X2: $int] :
( $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X2,sK1))))))
| $less(0,$sum(1,$uminus(sK1)))
| ( $sum($product(sK1,$sum(1,$uminus(div1(X2,sK1)))),X2) != $product(sK0(sK1),1) ) )
| spl3_346 ),
inference(gaussian_variable_elimination,[],[f11014]) ).
tff(f11014,plain,
( ! [X2: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X2)))
| ( 1 != $sum(X1,div1(X2,sK1)) )
| $less(0,$sum(1,$uminus(sK1)))
| ( $sum($product(sK1,X1),X2) != $product(sK0(sK1),1) )
| $less(0,$sum(0,$uminus(X1))) )
| spl3_346 ),
inference(constrained_superposition,[],[f11003,f356]) ).
tff(f356,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(1,$uminus(X0)))
| ( $sum(X2,div1(X1,X0)) = div1($sum($product(X0,X2),X1),X0) )
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(0,$uminus(X1))) ),
inference(evaluation,[],[f290]) ).
tff(f290,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(0,X0)
| ( $sum(X2,div1(X1,X0)) = div1($sum($product(X0,X2),X1),X0) )
| $less(X2,0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f225]) ).
tff(f225,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(0,X0)
| ( $sum(X2,div1(X1,X0)) = div1($sum($product(X0,X2),X1),X0) )
| $less(X2,0)
| $less(X1,0) ),
inference(rectify,[],[f160]) ).
tff(f160,plain,
! [X2: $int,X1: $int,X0: $int] :
( ~ $less(0,X2)
| ( $sum(X0,div1(X1,X2)) = div1($sum($product(X2,X0),X1),X2) )
| $less(X0,0)
| $less(X1,0) ),
inference(flattening,[],[f159]) ).
tff(f159,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( $sum(X0,div1(X1,X2)) = div1($sum($product(X2,X0),X1),X2) )
| $less(X0,0)
| ~ $less(0,X2)
| $less(X1,0) ),
inference(ennf_transformation,[],[f123]) ).
tff(f123,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( ~ $less(X0,0)
& $less(0,X2)
& ~ $less(X1,0) )
=> ( $sum(X0,div1(X1,X2)) = div1($sum($product(X2,X0),X1),X2) ) ),
inference(rectify,[],[f79]) ).
tff(f79,plain,
! [X7: $int,X4: $int,X1: $int] :
( ( ~ $less(X7,0)
& ~ $less(X4,0)
& $less(0,X1) )
=> ( div1($sum($product(X1,X7),X4),X1) = $sum(X7,div1(X4,X1)) ) ),
inference(theory_normalization,[],[f24]) ).
tff(f24,axiom,
! [X7: $int,X4: $int,X1: $int] :
( ( $lesseq(0,X7)
& $lesseq(0,X4)
& $less(0,X1) )
=> ( div1($sum($product(X1,X7),X4),X1) = $sum(X7,div1(X4,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mult) ).
tff(f11003,plain,
( ( 1 != div1($product(sK0(sK1),1),sK1) )
| spl3_346 ),
inference(avatar_component_clause,[],[f11001]) ).
tff(f11008,plain,
( ~ spl3_346
| ~ spl3_347
| spl3_14
| ~ spl3_130
| spl3_340 ),
inference(avatar_split_clause,[],[f10999,f10600,f7038,f472,f11005,f11001]) ).
tff(f11005,plain,
( spl3_347
<=> ( $uminus(div1(0,2)) = mod1($product(sK0(sK1),1),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_347])]) ).
tff(f472,plain,
( spl3_14
<=> ( 0 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
tff(f7038,plain,
( spl3_130
<=> ( sK1 = $product(sK1,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_130])]) ).
tff(f10600,plain,
( spl3_340
<=> ( $sum(sK1,$uminus(div1(0,2))) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_340])]) ).
tff(f10999,plain,
( ( $uminus(div1(0,2)) != mod1($product(sK0(sK1),1),sK1) )
| ( 1 != div1($product(sK0(sK1),1),sK1) )
| spl3_14
| ~ spl3_130
| spl3_340 ),
inference(gaussian_variable_elimination,[],[f10993]) ).
tff(f10993,plain,
( ! [X0: $int] :
( ( mod1(X0,sK1) != $uminus(div1(0,2)) )
| ( 1 != div1(X0,sK1) )
| ( $product(sK0(sK1),1) != X0 ) )
| spl3_14
| ~ spl3_130
| spl3_340 ),
inference(constrained_superposition,[],[f10602,f7217]) ).
tff(f7217,plain,
( ! [X1: $int] :
( ( 1 != div1(X1,sK1) )
| ( $sum(sK1,mod1(X1,sK1)) = X1 ) )
| spl3_14
| ~ spl3_130 ),
inference(subsumption_resolution,[],[f7133,f474]) ).
tff(f474,plain,
( ( 0 != sK1 )
| spl3_14 ),
inference(avatar_component_clause,[],[f472]) ).
tff(f7133,plain,
( ! [X1: $int] :
( ( 0 = sK1 )
| ( $sum(sK1,mod1(X1,sK1)) = X1 )
| ( 1 != div1(X1,sK1) ) )
| ~ spl3_130 ),
inference(constrained_superposition,[],[f271,f7040]) ).
tff(f7040,plain,
( ( sK1 = $product(sK1,1) )
| ~ spl3_130 ),
inference(avatar_component_clause,[],[f7038]) ).
tff(f271,plain,
! [X0: $int,X1: $int] :
( ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 )
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f191]) ).
tff(f191,plain,
! [X0: $int,X1: $int] :
( ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 )
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,plain,
! [X0: $int,X1: $int] :
( ( 0 != X1 )
=> ( $sum($product(X1,div1(X0,X1)),mod1(X0,X1)) = X0 ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ( $sum($product(X7,div1(X1,X7)),mod1(X1,X7)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mod) ).
tff(f10602,plain,
( ( $sum(sK1,$uminus(div1(0,2))) != $product(sK0(sK1),1) )
| spl3_340 ),
inference(avatar_component_clause,[],[f10600]) ).
tff(f10878,plain,
( ~ spl3_345
| ~ spl3_216
| ~ spl3_325 ),
inference(avatar_split_clause,[],[f10834,f10228,f8551,f10875]) ).
tff(f10875,plain,
( spl3_345
<=> ( 0 = abs1(-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_345])]) ).
tff(f8551,plain,
( spl3_216
<=> ! [X0: $int] : ( $sum($product(1,X0),0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_216])]) ).
tff(f10834,plain,
( ( 0 != abs1(-1) )
| ~ spl3_216
| ~ spl3_325 ),
inference(interpreted_simplification,[],[f10833]) ).
tff(f10833,plain,
( ( 0 != abs1(-1) )
| $less(0,$sum(1,-1))
| ~ spl3_216
| ~ spl3_325 ),
inference(instantiation,[],[f10815]) ).
tff(f10815,plain,
( ! [X0: $int] :
( ( 0 != abs1(X0) )
| $less(0,$sum(1,X0)) )
| ~ spl3_216
| ~ spl3_325 ),
inference(evaluation,[],[f10809]) ).
tff(f10809,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(0)))
| $less(0,0)
| ( 0 != abs1(X0) )
| $less(0,$sum(1,X0)) )
| ~ spl3_216
| ~ spl3_325 ),
inference(constrained_superposition,[],[f10502,f8617]) ).
tff(f8617,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(X0)))
| ( $sum(X0,0) = X0 ) )
| ~ spl3_216 ),
inference(forward_demodulation,[],[f8616,f300]) ).
tff(f300,plain,
! [X0: $int] : ( div1(X0,1) = X0 ),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0: $int] : ( div1(X0,1) = X0 ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X1: $int] : ( div1(X1,1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_1) ).
tff(f8616,plain,
( ! [X0: $int] :
( ( div1(X0,1) = $sum(X0,0) )
| $less(0,$sum(0,$uminus(X0))) )
| ~ spl3_216 ),
inference(forward_demodulation,[],[f8605,f300]) ).
tff(f8605,plain,
( ! [X0: $int] :
( ( div1(X0,1) = $sum(X0,div1(0,1)) )
| $less(0,$sum(0,$uminus(X0))) )
| ~ spl3_216 ),
inference(evaluation,[],[f8598]) ).
tff(f8598,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(0)))
| $less(0,$sum(0,$uminus(X0)))
| $less(0,$sum(1,$uminus(1)))
| ( div1(X0,1) = $sum(X0,div1(0,1)) ) )
| ~ spl3_216 ),
inference(superposition,[],[f356,f8552]) ).
tff(f8552,plain,
( ! [X0: $int] : ( $sum($product(1,X0),0) = X0 )
| ~ spl3_216 ),
inference(avatar_component_clause,[],[f8551]) ).
tff(f10502,plain,
( ! [X5: $int] :
( $less(0,$sum(1,X5))
| $less(0,$sum(0,abs1(X5))) )
| ~ spl3_325 ),
inference(forward_subsumption_demodulation,[],[f10379,f333]) ).
tff(f333,plain,
! [X0: $int] :
( ( abs1(X0) = $uminus(X0) )
| $less(0,$sum(1,X0)) ),
inference(evaluation,[],[f273]) ).
tff(f273,plain,
! [X0: $int] :
( ( abs1(X0) = $uminus(X0) )
| ~ $less(X0,0) ),
inference(cnf_transformation,[],[f162]) ).
tff(f10379,plain,
( ! [X5: $int] :
( $less(0,$sum(0,$uminus(X5)))
| $less(0,$sum(1,X5)) )
| ~ spl3_325 ),
inference(evaluation,[],[f10345]) ).
tff(f10345,plain,
( ! [X5: $int] :
( $less(0,$sum($sum(X5,1),$uminus(0)))
| $less(0,$sum(0,$uminus(X5))) )
| ~ spl3_325 ),
inference(superposition,[],[f361,f10230]) ).
tff(f361,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(abs1(X1),$uminus(X0)))
| $less(0,$sum($sum(X0,1),$uminus(X1))) ),
inference(evaluation,[],[f329]) ).
tff(f329,plain,
! [X0: $int,X1: $int] :
( $less(X0,abs1(X1))
| ~ $less(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
tff(f253,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,abs1(X1))
| $less(X0,X1)
| $less(X1,$uminus(X0)) )
& ( ( ~ $less(X0,X1)
& ~ $less(X1,$uminus(X0)) )
| $less(X0,abs1(X1)) ) ),
inference(flattening,[],[f252]) ).
tff(f252,plain,
! [X0: $int,X1: $int] :
( ( ~ $less(X0,abs1(X1))
| $less(X0,X1)
| $less(X1,$uminus(X0)) )
& ( ( ~ $less(X0,X1)
& ~ $less(X1,$uminus(X0)) )
| $less(X0,abs1(X1)) ) ),
inference(nnf_transformation,[],[f96]) ).
tff(f96,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,abs1(X1))
<=> ( ~ $less(X0,X1)
& ~ $less(X1,$uminus(X0)) ) ),
inference(rectify,[],[f69]) ).
tff(f69,plain,
! [X7: $int,X1: $int] :
( ~ $less(X7,abs1(X1))
<=> ( ~ $less(X1,$uminus(X7))
& ~ $less(X7,X1) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X7: $int,X1: $int] :
( $lesseq(abs1(X1),X7)
<=> ( $lesseq($uminus(X7),X1)
& $lesseq(X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_le) ).
tff(f10750,plain,
( spl3_126
| spl3_344
| ~ spl3_3
| ~ spl3_343 ),
inference(avatar_split_clause,[],[f10725,f10681,f379,f10746,f6453]) ).
tff(f6453,plain,
( spl3_126
<=> ! [X2: $int,X1: $int] :
( $less(0,$sum($sum(X2,$uminus(sK1)),$uminus(X2)))
| ( mod1(X1,X2) != -1 )
| $less(0,X1)
| ( sK1 != $product(X2,div1(X1,X2)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_126])]) ).
tff(f10746,plain,
( spl3_344
<=> $less(0,$sum(1,$uminus($sum(0,$uminus(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_344])]) ).
tff(f379,plain,
( spl3_3
<=> $less(0,$sum(sK1,-1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
tff(f10681,plain,
( spl3_343
<=> $less(0,$sum(1,$uminus($sum(0,$uminus(abs1(sK1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_343])]) ).
tff(f10725,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(1,$uminus($sum(0,$uminus(sK1)))))
| $less(0,X0)
| ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,$sum($sum(X1,$uminus(sK1)),$uminus(X1)))
| ( mod1(X0,X1) != -1 ) )
| ~ spl3_3
| ~ spl3_343 ),
inference(superposition,[],[f10683,f742]) ).
tff(f742,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,X2)
| ( mod1(X2,X0) != -1 )
| ( abs1(X1) = X1 )
| ( sK1 != $product(X0,div1(X2,X0)) )
| $less(0,$sum($sum(X0,$uminus(X1)),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f622]) ).
tff(f622,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( abs1(X1) = X1 )
| $less(X0,$sum(X0,$uminus(X1)))
| ( mod1(X2,X0) != -1 )
| ( sK1 != $product(X0,div1(X2,X0)) )
| $less(0,X2) )
| ~ spl3_3 ),
inference(superposition,[],[f346,f401]) ).
tff(f401,plain,
( ! [X0: $int,X1: $int] :
( ( mod1(X1,X0) != -1 )
| $less(0,X1)
| ( sK1 != $product(X0,div1(X1,X0)) )
| ( 0 = X0 ) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f381,f271]) ).
tff(f381,plain,
( $less(0,$sum(sK1,-1))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f379]) ).
tff(f10683,plain,
( $less(0,$sum(1,$uminus($sum(0,$uminus(abs1(sK1))))))
| ~ spl3_343 ),
inference(avatar_component_clause,[],[f10681]) ).
tff(f10749,plain,
( spl3_344
| spl3_56
| ~ spl3_343 ),
inference(avatar_split_clause,[],[f10726,f10681,f2443,f10746]) ).
tff(f2443,plain,
( spl3_56
<=> $less(0,$sum(0,$uminus(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).
tff(f10726,plain,
( $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(1,$uminus($sum(0,$uminus(sK1)))))
| ~ spl3_343 ),
inference(superposition,[],[f10683,f346]) ).
tff(f10684,plain,
( spl3_343
| spl3_330 ),
inference(avatar_split_clause,[],[f10679,f10264,f10681]) ).
tff(f10264,plain,
( spl3_330
<=> $less(0,$sum(0,$uminus(abs1(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_330])]) ).
tff(f10679,plain,
( $less(0,$sum(1,$uminus($sum(0,$uminus(abs1(sK1))))))
| spl3_330 ),
inference(evaluation,[],[f10265]) ).
tff(f10265,plain,
( ~ $less(0,$sum(0,$uminus(abs1(sK1))))
| spl3_330 ),
inference(avatar_component_clause,[],[f10264]) ).
tff(f10678,plain,
( spl3_56
| ~ spl3_330 ),
inference(avatar_split_clause,[],[f10660,f10264,f2443]) ).
tff(f10660,plain,
( $less(0,$sum(0,$uminus(sK1)))
| ~ spl3_330 ),
inference(duplicate_literal_removal,[],[f10655]) ).
tff(f10655,plain,
( $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(0,$uminus(sK1)))
| ~ spl3_330 ),
inference(superposition,[],[f10266,f346]) ).
tff(f10266,plain,
( $less(0,$sum(0,$uminus(abs1(sK1))))
| ~ spl3_330 ),
inference(avatar_component_clause,[],[f10264]) ).
tff(f10677,plain,
( spl3_56
| spl3_126
| ~ spl3_3
| ~ spl3_330 ),
inference(avatar_split_clause,[],[f10654,f10264,f379,f6453,f2443]) ).
tff(f10654,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(X1,$uminus(sK1)),$uminus(X1)))
| $less(0,$sum(0,$uminus(sK1)))
| ( mod1(X0,X1) != -1 )
| ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,X0) )
| ~ spl3_3
| ~ spl3_330 ),
inference(superposition,[],[f10266,f742]) ).
tff(f10676,plain,
( ~ spl3_342
| ~ spl3_216
| ~ spl3_330 ),
inference(avatar_split_clause,[],[f10664,f10264,f8551,f10673]) ).
tff(f10673,plain,
( spl3_342
<=> ( 0 = $uminus(abs1(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_342])]) ).
tff(f10664,plain,
( ( 0 != $uminus(abs1(sK1)) )
| ~ spl3_216
| ~ spl3_330 ),
inference(evaluation,[],[f10658]) ).
tff(f10658,plain,
( ( 0 != $uminus(abs1(sK1)) )
| $less(0,0)
| $less(0,$sum(0,$uminus(0)))
| ~ spl3_216
| ~ spl3_330 ),
inference(constrained_superposition,[],[f10266,f8617]) ).
tff(f10608,plain,
( ~ spl3_341
| ~ spl3_1
| spl3_338 ),
inference(avatar_split_clause,[],[f10594,f10573,f369,f10605]) ).
tff(f10605,plain,
( spl3_341
<=> ( sK1 = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_341])]) ).
tff(f369,plain,
( spl3_1
<=> is_power_of_21(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f10573,plain,
( spl3_338
<=> is_power_of_21($product(sK0(sK1),1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_338])]) ).
tff(f10594,plain,
( ( sK1 != $product(sK0(sK1),1) )
| ~ spl3_1
| spl3_338 ),
inference(constrained_resolution,[],[f10575,f371]) ).
tff(f371,plain,
( is_power_of_21(sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f369]) ).
tff(f10575,plain,
( ~ is_power_of_21($product(sK0(sK1),1))
| spl3_338 ),
inference(avatar_component_clause,[],[f10573]) ).
tff(f10603,plain,
( ~ spl3_340
| ~ spl3_221
| spl3_338 ),
inference(avatar_split_clause,[],[f10593,f10573,f8633,f10600]) ).
tff(f8633,plain,
( spl3_221
<=> is_power_of_21($sum(sK1,$uminus(div1(0,2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_221])]) ).
tff(f10593,plain,
( ( $sum(sK1,$uminus(div1(0,2))) != $product(sK0(sK1),1) )
| ~ spl3_221
| spl3_338 ),
inference(constrained_resolution,[],[f10575,f8634]) ).
tff(f8634,plain,
( is_power_of_21($sum(sK1,$uminus(div1(0,2))))
| ~ spl3_221 ),
inference(avatar_component_clause,[],[f8633]) ).
tff(f10580,plain,
( ~ spl3_338
| ~ spl3_339
| ~ spl3_64
| spl3_329 ),
inference(avatar_split_clause,[],[f10571,f10259,f2860,f10577,f10573]) ).
tff(f10577,plain,
( spl3_339
<=> ( sK0($product(sK0(sK1),1)) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_339])]) ).
tff(f2860,plain,
( spl3_64
<=> ( sK1 = power1(2,$product(sK0(sK1),1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_64])]) ).
tff(f10259,plain,
( spl3_329
<=> ( sK1 = sK0(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_329])]) ).
tff(f10571,plain,
( ( sK0($product(sK0(sK1),1)) != $product(sK0(sK1),1) )
| ~ is_power_of_21($product(sK0(sK1),1))
| ~ spl3_64
| spl3_329 ),
inference(gaussian_variable_elimination,[],[f10570]) ).
tff(f10570,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( $product(sK0(sK1),1) != X0 )
| ( sK0(X0) != X0 ) )
| ~ spl3_64
| spl3_329 ),
inference(inner_rewriting,[],[f10568]) ).
tff(f10568,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( sK0(X0) != X0 )
| ( sK0(X0) != $product(sK0(sK1),1) ) )
| ~ spl3_64
| spl3_329 ),
inference(superposition,[],[f10261,f3491]) ).
tff(f3491,plain,
( ! [X1: $int] :
( ~ is_power_of_21(X1)
| ( $product(sK0(sK1),1) != sK0(X1) )
| ( sK1 = X1 ) )
| ~ spl3_64 ),
inference(constrained_superposition,[],[f311,f2862]) ).
tff(f2862,plain,
( ( sK1 = power1(2,$product(sK0(sK1),1)) )
| ~ spl3_64 ),
inference(avatar_component_clause,[],[f2860]) ).
tff(f10261,plain,
( ( sK1 != sK0(sK1) )
| spl3_329 ),
inference(avatar_component_clause,[],[f10259]) ).
tff(f10548,plain,
( spl3_336
| spl3_337
| ~ spl3_3
| ~ spl3_325 ),
inference(avatar_split_clause,[],[f10373,f10228,f379,f10508,f10505]) ).
tff(f10505,plain,
( spl3_336
<=> ! [X12: $int] : $less(0,$sum(mod1(X12,0),0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_336])]) ).
tff(f10508,plain,
( spl3_337
<=> ! [X13: $int,X14: $int] :
( $less(0,$sum(X13,0))
| ( 0 = X14 )
| ( mod1(X13,X14) != -1 )
| ( sK1 != $product(X14,div1(X13,X14)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_337])]) ).
tff(f10373,plain,
( ! [X24: $int,X25: $int,X23: $int] :
( $less(0,$sum(X24,0))
| $less(0,$sum(mod1(X23,0),0))
| ( 0 = X25 )
| ( $product(X25,div1(X24,X25)) != sK1 )
| ( mod1(X24,X25) != -1 ) )
| ~ spl3_3
| ~ spl3_325 ),
inference(evaluation,[],[f10360]) ).
tff(f10360,plain,
( ! [X24: $int,X25: $int,X23: $int] :
( $less(0,$sum(X24,$uminus(0)))
| ( 0 = X25 )
| ( $product(X25,div1(X24,X25)) != sK1 )
| $less(0,$sum(mod1(X23,0),0))
| ( mod1(X24,X25) != -1 ) )
| ~ spl3_3
| ~ spl3_325 ),
inference(superposition,[],[f714,f10230]) ).
tff(f714,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( mod1(X1,X2) != -1 )
| $less(0,$sum(X1,$uminus(X0)))
| ( sK1 != $product(X2,div1(X1,X2)) )
| ( X0 = X2 )
| $less(0,$sum(mod1(X3,X0),abs1(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f588]) ).
tff(f588,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( X0 = X2 )
| ( sK1 != $product(X2,div1(X1,X2)) )
| ( mod1(X1,X2) != -1 )
| $less(0,$sum(mod1(X3,X0),abs1(X0)))
| $less(X0,X1) )
| ~ spl3_3 ),
inference(superposition,[],[f401,f339]) ).
tff(f10510,plain,
( spl3_336
| spl3_337
| ~ spl3_3
| ~ spl3_325 ),
inference(avatar_split_clause,[],[f10376,f10228,f379,f10508,f10505]) ).
tff(f10376,plain,
( ! [X14: $int,X12: $int,X13: $int] :
( $less(0,$sum(X13,0))
| ( sK1 != $product(X14,div1(X13,X14)) )
| ( mod1(X13,X14) != -1 )
| ( 0 = X14 )
| $less(0,$sum(mod1(X12,0),0)) )
| ~ spl3_3
| ~ spl3_325 ),
inference(evaluation,[],[f10352]) ).
tff(f10352,plain,
( ! [X14: $int,X12: $int,X13: $int] :
( ( 0 = X14 )
| ( mod1(X13,X14) != -1 )
| ( sK1 != $product(X14,div1(X13,X14)) )
| $less(0,$sum(X13,$uminus(0)))
| $less(0,$sum(mod1(X12,0),0)) )
| ~ spl3_3
| ~ spl3_325 ),
inference(superposition,[],[f483,f10230]) ).
tff(f483,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( mod1(X1,X0) != -1 )
| ( sK1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(X1,$uminus(X2)))
| ( 0 = X0 )
| $less(0,$sum(mod1(X3,X2),abs1(X2))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f406,f271]) ).
tff(f406,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(mod1(X1,X0),abs1(X0)))
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f398]) ).
tff(f398,plain,
( ! [X0: $int,X1: $int] :
( $less(X0,$sum(sK1,-1))
| $less(0,$sum(mod1(X1,X0),abs1(X0))) )
| ~ spl3_3 ),
inference(superposition,[],[f381,f339]) ).
tff(f10296,plain,
( spl3_334
| ~ spl3_335
| ~ spl3_1
| spl3_54
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f10011,f8551,f2419,f369,f10293,f10290]) ).
tff(f10290,plain,
( spl3_334
<=> ! [X44: $int] :
( $less(0,$sum(0,$uminus(mod1(X44,sK1))))
| $less(0,mod1(X44,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_334])]) ).
tff(f10293,plain,
( spl3_335
<=> ( 0 = abs1(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_335])]) ).
tff(f2419,plain,
( spl3_54
<=> is_power_of_21(0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).
tff(f10011,plain,
( ! [X44: $int] :
( ( 0 != abs1(sK1) )
| $less(0,$sum(0,$uminus(mod1(X44,sK1))))
| $less(0,mod1(X44,sK1)) )
| ~ spl3_1
| spl3_54
| ~ spl3_216 ),
inference(constrained_superposition,[],[f2488,f8617]) ).
tff(f2488,plain,
( ! [X0: $int] : $less(0,$sum(mod1(X0,sK1),abs1(sK1)))
| ~ spl3_1
| spl3_54 ),
inference(resolution,[],[f2427,f371]) ).
tff(f2427,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(mod1(X1,X0),abs1(X0)))
| ~ is_power_of_21(X0) )
| spl3_54 ),
inference(superposition,[],[f2421,f339]) ).
tff(f2421,plain,
( ~ is_power_of_21(0)
| spl3_54 ),
inference(avatar_component_clause,[],[f2419]) ).
tff(f10288,plain,
( ~ spl3_328
| ~ spl3_333
| spl3_187
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f10283,f8551,f8012,f10285,f10253]) ).
tff(f10253,plain,
( spl3_328
<=> ( 0 = $uminus(sK0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_328])]) ).
tff(f8012,plain,
( spl3_187
<=> ( $product(sK0(sK1),1) = $sum(sK0(sK1),$uminus(sK0(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_187])]) ).
tff(f10283,plain,
( ( sK0(sK1) != $product(sK0(sK1),1) )
| ( 0 != $uminus(sK0(sK1)) )
| spl3_187
| ~ spl3_216 ),
inference(evaluation,[],[f10282]) ).
tff(f10282,plain,
( $less(0,$sum(0,0))
| ( 0 != $uminus(sK0(sK1)) )
| ( sK0(sK1) != $product(sK0(sK1),1) )
| spl3_187
| ~ spl3_216 ),
inference(inner_rewriting,[],[f10088]) ).
tff(f10088,plain,
( ( sK0(sK1) != $product(sK0(sK1),1) )
| $less(0,$sum(0,$uminus(sK0(sK1))))
| ( 0 != $uminus(sK0(sK1)) )
| spl3_187
| ~ spl3_216 ),
inference(constrained_superposition,[],[f8014,f8617]) ).
tff(f8014,plain,
( ( $product(sK0(sK1),1) != $sum(sK0(sK1),$uminus(sK0(sK1))) )
| spl3_187 ),
inference(avatar_component_clause,[],[f8012]) ).
tff(f10281,plain,
( ~ spl3_328
| spl3_193
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f10280,f8551,f8040,f10253]) ).
tff(f8040,plain,
( spl3_193
<=> ( sK0(sK1) = $sum(sK0(sK1),$uminus(sK0(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_193])]) ).
tff(f10280,plain,
( ( 0 != $uminus(sK0(sK1)) )
| spl3_193
| ~ spl3_216 ),
inference(evaluation,[],[f10279]) ).
tff(f10279,plain,
( ( 0 != $uminus(sK0(sK1)) )
| $less(0,$sum(0,0))
| spl3_193
| ~ spl3_216 ),
inference(inner_rewriting,[],[f10142]) ).
tff(f10142,plain,
( $less(0,$sum(0,$uminus(sK0(sK1))))
| ( 0 != $uminus(sK0(sK1)) )
| spl3_193
| ~ spl3_216 ),
inference(trivial_inequality_removal,[],[f10089]) ).
tff(f10089,plain,
( ( sK0(sK1) != sK0(sK1) )
| $less(0,$sum(0,$uminus(sK0(sK1))))
| ( 0 != $uminus(sK0(sK1)) )
| spl3_193
| ~ spl3_216 ),
inference(constrained_superposition,[],[f8042,f8617]) ).
tff(f8042,plain,
( ( sK0(sK1) != $sum(sK0(sK1),$uminus(sK0(sK1))) )
| spl3_193 ),
inference(avatar_component_clause,[],[f8040]) ).
tff(f10274,plain,
( spl3_330
| spl3_331
| spl3_332
| ~ spl3_1
| spl3_54
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f9999,f8551,f2419,f369,f10271,f10268,f10264]) ).
tff(f10268,plain,
( spl3_331
<=> ! [X24: $int] : ( 0 != $uminus(mod1(X24,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_331])]) ).
tff(f10271,plain,
( spl3_332
<=> $less(0,abs1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_332])]) ).
tff(f9999,plain,
( ! [X24: $int] :
( $less(0,abs1(sK1))
| ( 0 != $uminus(mod1(X24,sK1)) )
| $less(0,$sum(0,$uminus(abs1(sK1)))) )
| ~ spl3_1
| spl3_54
| ~ spl3_216 ),
inference(constrained_superposition,[],[f6151,f8617]) ).
tff(f6151,plain,
( ! [X0: $int] : $less(0,$sum(abs1(sK1),$uminus(mod1(X0,sK1))))
| ~ spl3_1
| spl3_54 ),
inference(resolution,[],[f2429,f371]) ).
tff(f2429,plain,
( ! [X0: $int,X1: $int] :
( ~ is_power_of_21(X0)
| $less(0,$sum(abs1(X0),$uminus(mod1(X1,X0)))) )
| spl3_54 ),
inference(superposition,[],[f2421,f345]) ).
tff(f345,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(abs1(X1),$uminus(mod1(X0,X1))))
| ( 0 = X1 ) ),
inference(evaluation,[],[f307]) ).
tff(f307,plain,
! [X0: $int,X1: $int] :
( $less(mod1(X0,X1),abs1(X1))
| ( 0 = X1 ) ),
inference(cnf_transformation,[],[f232]) ).
tff(f10262,plain,
( spl3_56
| ~ spl3_329
| ~ spl3_216
| spl3_281 ),
inference(avatar_split_clause,[],[f10257,f9230,f8551,f10259,f2443]) ).
tff(f9230,plain,
( spl3_281
<=> ( sK1 = $sum(sK0(sK1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_281])]) ).
tff(f10257,plain,
( ( sK1 != sK0(sK1) )
| $less(0,$sum(0,$uminus(sK1)))
| ~ spl3_216
| spl3_281 ),
inference(inner_rewriting,[],[f10091]) ).
tff(f10091,plain,
( $less(0,$sum(0,$uminus(sK0(sK1))))
| ( sK1 != sK0(sK1) )
| ~ spl3_216
| spl3_281 ),
inference(superposition,[],[f9232,f8617]) ).
tff(f9232,plain,
( ( sK1 != $sum(sK0(sK1),0) )
| spl3_281 ),
inference(avatar_component_clause,[],[f9230]) ).
tff(f10256,plain,
( spl3_186
| ~ spl3_328
| ~ spl3_5
| ~ spl3_114
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f10251,f8551,f6371,f391,f10253,f8008]) ).
tff(f8008,plain,
( spl3_186
<=> ( sK1 = $product(sK1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_186])]) ).
tff(f391,plain,
( spl3_5
<=> ( sK1 = power1(2,sK0(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
tff(f6371,plain,
( spl3_114
<=> ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_114])]) ).
tff(f10251,plain,
( ( 0 != $uminus(sK0(sK1)) )
| ( sK1 = $product(sK1,sK1) )
| ~ spl3_5
| ~ spl3_114
| ~ spl3_216 ),
inference(evaluation,[],[f10250]) ).
tff(f10250,plain,
( ( sK1 = $product(sK1,sK1) )
| ( 0 != $uminus(sK0(sK1)) )
| $less(0,$sum(0,0))
| ~ spl3_5
| ~ spl3_114
| ~ spl3_216 ),
inference(inner_rewriting,[],[f10249]) ).
tff(f10249,plain,
( ( sK1 = $product(sK1,sK1) )
| $less(0,$sum(0,$uminus(sK0(sK1))))
| ( 0 != $uminus(sK0(sK1)) )
| ~ spl3_5
| ~ spl3_114
| ~ spl3_216 ),
inference(forward_demodulation,[],[f10090,f393]) ).
tff(f393,plain,
( ( sK1 = power1(2,sK0(sK1)) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f391]) ).
tff(f10090,plain,
( ( sK1 = $product(power1(2,sK0(sK1)),sK1) )
| ( 0 != $uminus(sK0(sK1)) )
| $less(0,$sum(0,$uminus(sK0(sK1))))
| ~ spl3_114
| ~ spl3_216 ),
inference(constrained_superposition,[],[f6373,f8617]) ).
tff(f6373,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))),sK1) )
| ~ spl3_114 ),
inference(avatar_component_clause,[],[f6371]) ).
tff(f10240,plain,
( spl3_326
| spl3_327
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f10214,f8551,f10237,f10233]) ).
tff(f10214,plain,
( $less(0,$sum(0,$uminus($sum($product(2,div1(1,2)),1))))
| $less(0,$sum($product(2,div1(1,2)),1))
| ~ spl3_216 ),
inference(evaluation,[],[f10213]) ).
tff(f10213,plain,
( $less(0,$sum($product(2,div1($sum($uminus(0),$uminus(-1)),2)),1))
| $less(0,$sum(0,$uminus($sum($uminus(0),$uminus(-1)))))
| $less(0,$sum(0,$uminus($sum($product(2,div1($sum($uminus(0),$uminus(-1)),2)),1))))
| ~ spl3_216 ),
inference(gaussian_variable_elimination,[],[f10028]) ).
tff(f10028,plain,
( ! [X86: $int] :
( ( 0 != $uminus($sum(X86,-1)) )
| $less(0,$sum(0,$uminus(X86)))
| $less(0,$sum($product(2,div1(X86,2)),1))
| $less(0,$sum(0,$uminus($sum($product(2,div1(X86,2)),1)))) )
| ~ spl3_216 ),
inference(constrained_superposition,[],[f336,f8617]) ).
tff(f336,plain,
! [X0: $int] :
( $less(0,$sum(0,$uminus(X0)))
| $less(0,$sum($sum($product(2,div1(X0,2)),1),$uminus($sum(X0,-1)))) ),
inference(evaluation,[],[f280]) ).
tff(f280,plain,
! [X0: $int] :
( $less(X0,0)
| ~ $less($product(2,div1(X0,2)),$sum(X0,$uminus(1))) ),
inference(cnf_transformation,[],[f183]) ).
tff(f183,plain,
! [X0: $int] :
( $less(X0,0)
| ( ~ $less(X0,$product(2,div1(X0,2)))
& ~ $less($product(2,div1(X0,2)),$sum(X0,$uminus(1))) ) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: $int] :
( ~ $less(X0,0)
=> ( ~ $less(X0,$product(2,div1(X0,2)))
& ~ $less($product(2,div1(X0,2)),$sum(X0,$uminus(1))) ) ),
inference(rectify,[],[f82]) ).
tff(f82,plain,
! [X1: $int] :
( ~ $less(X1,0)
=> ( ~ $less($product(2,div1(X1,2)),$sum(X1,$uminus(1)))
& ~ $less(X1,$product(2,div1(X1,2))) ) ),
inference(theory_normalization,[],[f65]) ).
tff(f65,axiom,
! [X1: $int] :
( $lesseq(0,X1)
=> ( $lesseq($difference(X1,1),$product(2,div1(X1,2)))
& $lesseq($product(2,div1(X1,2)),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mod_2) ).
tff(f10231,plain,
( spl3_324
| spl3_325
| ~ spl3_3
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f10221,f8551,f379,f10228,f10225]) ).
tff(f10225,plain,
( spl3_324
<=> ! [X172: $int,X171: $int] :
( ( -1 != mod1(X172,X171) )
| $less(0,$sum(1,$uminus(X171)))
| $less(0,X172)
| ( sK1 != $product(X171,div1(X172,X171)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_324])]) ).
tff(f10221,plain,
( ! [X171: $int,X172: $int] :
( ( 0 = abs1(0) )
| ( -1 != mod1(X172,X171) )
| ( sK1 != $product(X171,div1(X172,X171)) )
| $less(0,X172)
| $less(0,$sum(1,$uminus(X171))) )
| ~ spl3_3
| ~ spl3_216 ),
inference(evaluation,[],[f10075]) ).
tff(f10075,plain,
( ! [X171: $int,X172: $int] :
( ( sK1 != $product(X171,div1(X172,X171)) )
| $less(0,$sum(0,$uminus(1)))
| ( abs1(0) = $uminus(0) )
| ( -1 != mod1(X172,X171) )
| $less(0,X172)
| $less(0,$sum(1,$uminus(X171))) )
| ~ spl3_3
| ~ spl3_216 ),
inference(superposition,[],[f682,f8617]) ).
tff(f682,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,X2)
| ( abs1(X1) = $uminus(X1) )
| ( mod1(X2,X0) != -1 )
| ( sK1 != $product(X0,div1(X2,X0)) )
| $less(0,$sum($sum(1,X1),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f597]) ).
tff(f597,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,X2)
| ( sK1 != $product(X0,div1(X2,X0)) )
| ( mod1(X2,X0) != -1 )
| $less(X0,$sum(1,X1))
| ( abs1(X1) = $uminus(X1) ) )
| ~ spl3_3 ),
inference(superposition,[],[f333,f401]) ).
tff(f9942,plain,
( spl3_159
| ~ spl3_323
| ~ spl3_220
| ~ spl3_322 ),
inference(avatar_split_clause,[],[f9922,f9883,f8612,f9939,f7210]) ).
tff(f9939,plain,
( spl3_323
<=> ( 0 = div1(sK1,2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_323])]) ).
tff(f9883,plain,
( spl3_322
<=> $less(0,$sum(1,$uminus($sum(sK1,div1(sK1,2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_322])]) ).
tff(f9922,plain,
( ( 0 != div1(sK1,2) )
| $less(0,$sum(1,$uminus(sK1)))
| ~ spl3_220
| ~ spl3_322 ),
inference(constrained_superposition,[],[f9885,f8614]) ).
tff(f9885,plain,
( $less(0,$sum(1,$uminus($sum(sK1,div1(sK1,2)))))
| ~ spl3_322 ),
inference(avatar_component_clause,[],[f9883]) ).
tff(f9886,plain,
( spl3_321
| spl3_322
| spl3_318 ),
inference(avatar_split_clause,[],[f9875,f9844,f9883,f9880]) ).
tff(f9880,plain,
( spl3_321
<=> ! [X1: $int] :
( ( mod1($sum(0,$uminus($product($sum(sK1,div1(sK1,2)),X1))),$sum(sK1,div1(sK1,2))) != -1 )
| $less(0,$sum(0,$uminus($sum(0,$uminus($product($sum(sK1,div1(sK1,2)),X1))))))
| $less(0,$sum(0,$uminus(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_321])]) ).
tff(f9844,plain,
( spl3_318
<=> ( mod1(0,$sum(sK1,div1(sK1,2))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_318])]) ).
tff(f9875,plain,
( ! [X1: $int] :
( $less(0,$sum(1,$uminus($sum(sK1,div1(sK1,2)))))
| ( mod1($sum(0,$uminus($product($sum(sK1,div1(sK1,2)),X1))),$sum(sK1,div1(sK1,2))) != -1 )
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus($sum(0,$uminus($product($sum(sK1,div1(sK1,2)),X1)))))) )
| spl3_318 ),
inference(gaussian_variable_elimination,[],[f9871]) ).
tff(f9871,plain,
( ! [X2: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(1,$uminus($sum(sK1,div1(sK1,2)))))
| $less(0,$sum(0,$uminus(X1)))
| ( mod1(X2,$sum(sK1,div1(sK1,2))) != -1 )
| ( 0 != $sum($product($sum(sK1,div1(sK1,2)),X1),X2) ) )
| spl3_318 ),
inference(constrained_superposition,[],[f9846,f354]) ).
tff(f354,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(1,$uminus(X2)))
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus(X0)))
| ( mod1($sum($product(X2,X1),X0),X2) = mod1(X0,X2) ) ),
inference(evaluation,[],[f278]) ).
tff(f278,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(0,X2)
| $less(X1,0)
| $less(X0,0)
| ( mod1($sum($product(X2,X1),X0),X2) = mod1(X0,X2) ) ),
inference(cnf_transformation,[],[f218]) ).
tff(f218,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(0,X2)
| ( mod1($sum($product(X2,X1),X0),X2) = mod1(X0,X2) )
| $less(X1,0)
| $less(X0,0) ),
inference(rectify,[],[f170]) ).
tff(f170,plain,
! [X0: $int,X2: $int,X1: $int] :
( ~ $less(0,X1)
| ( mod1($sum($product(X1,X2),X0),X1) = mod1(X0,X1) )
| $less(X2,0)
| $less(X0,0) ),
inference(flattening,[],[f169]) ).
tff(f169,plain,
! [X2: $int,X1: $int,X0: $int] :
( ( mod1($sum($product(X1,X2),X0),X1) = mod1(X0,X1) )
| ~ $less(0,X1)
| $less(X0,0)
| $less(X2,0) ),
inference(ennf_transformation,[],[f119]) ).
tff(f119,plain,
! [X2: $int,X1: $int,X0: $int] :
( ( $less(0,X1)
& ~ $less(X0,0)
& ~ $less(X2,0) )
=> ( mod1($sum($product(X1,X2),X0),X1) = mod1(X0,X1) ) ),
inference(rectify,[],[f78]) ).
tff(f78,plain,
! [X4: $int,X1: $int,X7: $int] :
( ( ~ $less(X7,0)
& $less(0,X1)
& ~ $less(X4,0) )
=> ( mod1($sum($product(X1,X7),X4),X1) = mod1(X4,X1) ) ),
inference(theory_normalization,[],[f25]) ).
tff(f25,axiom,
! [X4: $int,X1: $int,X7: $int] :
( ( $lesseq(0,X7)
& $less(0,X1)
& $lesseq(0,X4) )
=> ( mod1($sum($product(X1,X7),X4),X1) = mod1(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_mult) ).
tff(f9846,plain,
( ( mod1(0,$sum(sK1,div1(sK1,2))) != -1 )
| spl3_318 ),
inference(avatar_component_clause,[],[f9844]) ).
tff(f9855,plain,
( spl3_320
| ~ spl3_318
| spl3_305 ),
inference(avatar_split_clause,[],[f9825,f9600,f9844,f9852]) ).
tff(f9852,plain,
( spl3_320
<=> $less(0,$sum(0,$uminus(div1(sK1,2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_320])]) ).
tff(f9600,plain,
( spl3_305
<=> ( mod1(0,$sum(sK1,abs1(div1(sK1,2)))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_305])]) ).
tff(f9825,plain,
( ( mod1(0,$sum(sK1,div1(sK1,2))) != -1 )
| $less(0,$sum(0,$uminus(div1(sK1,2))))
| spl3_305 ),
inference(superposition,[],[f9602,f346]) ).
tff(f9602,plain,
( ( mod1(0,$sum(sK1,abs1(div1(sK1,2)))) != -1 )
| spl3_305 ),
inference(avatar_component_clause,[],[f9600]) ).
tff(f9850,plain,
( ~ spl3_318
| spl3_319
| ~ spl3_3
| spl3_305 ),
inference(avatar_split_clause,[],[f9824,f9600,f379,f9848,f9844]) ).
tff(f9848,plain,
( spl3_319
<=> ! [X0: $int,X1: $int] :
( ( mod1(X0,X1) != -1 )
| $less(0,X0)
| ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,$sum($sum(X1,$uminus(div1(sK1,2))),$uminus(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_319])]) ).
tff(f9824,plain,
( ! [X0: $int,X1: $int] :
( ( mod1(X0,X1) != -1 )
| $less(0,$sum($sum(X1,$uminus(div1(sK1,2))),$uminus(X1)))
| ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,X0)
| ( mod1(0,$sum(sK1,div1(sK1,2))) != -1 ) )
| ~ spl3_3
| spl3_305 ),
inference(superposition,[],[f9602,f742]) ).
tff(f9842,plain,
( spl3_316
| spl3_317
| spl3_305 ),
inference(avatar_split_clause,[],[f9831,f9600,f9840,f9836]) ).
tff(f9836,plain,
( spl3_316
<=> $less(0,$sum(1,$uminus($sum(sK1,abs1(div1(sK1,2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_316])]) ).
tff(f9840,plain,
( spl3_317
<=> ! [X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| ( mod1($sum(0,$uminus($product($sum(sK1,abs1(div1(sK1,2))),X1))),$sum(sK1,abs1(div1(sK1,2)))) != -1 )
| $less(0,$sum(0,$uminus($sum(0,$uminus($product($sum(sK1,abs1(div1(sK1,2))),X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_317])]) ).
tff(f9831,plain,
( ! [X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(1,$uminus($sum(sK1,abs1(div1(sK1,2))))))
| $less(0,$sum(0,$uminus($sum(0,$uminus($product($sum(sK1,abs1(div1(sK1,2))),X1))))))
| ( mod1($sum(0,$uminus($product($sum(sK1,abs1(div1(sK1,2))),X1))),$sum(sK1,abs1(div1(sK1,2)))) != -1 ) )
| spl3_305 ),
inference(gaussian_variable_elimination,[],[f9827]) ).
tff(f9827,plain,
( ! [X2: $int,X1: $int] :
( ( mod1(X2,$sum(sK1,abs1(div1(sK1,2)))) != -1 )
| ( 0 != $sum($product($sum(sK1,abs1(div1(sK1,2))),X1),X2) )
| $less(0,$sum(1,$uminus($sum(sK1,abs1(div1(sK1,2))))))
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus(X2))) )
| spl3_305 ),
inference(constrained_superposition,[],[f9602,f354]) ).
tff(f9809,plain,
( ~ spl3_314
| ~ spl3_315
| ~ spl3_10
| spl3_308 ),
inference(avatar_split_clause,[],[f9796,f9704,f446,f9806,f9802]) ).
tff(f9802,plain,
( spl3_314
<=> ( sK0($sum(sK1,div1(0,2))) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_314])]) ).
tff(f9806,plain,
( spl3_315
<=> is_power_of_21($sum(sK1,div1(0,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_315])]) ).
tff(f9704,plain,
( spl3_308
<=> ( $product(2,$sum(sK1,div1(0,2))) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_308])]) ).
tff(f9796,plain,
( ~ is_power_of_21($sum(sK1,div1(0,2)))
| ( sK0($sum(sK1,div1(0,2))) != $sum(sK0(sK1),-1) )
| ~ spl3_10
| spl3_308 ),
inference(trivial_inequality_removal,[],[f9794]) ).
tff(f9794,plain,
( ~ is_power_of_21($sum(sK1,div1(0,2)))
| ( sK0($sum(sK1,div1(0,2))) != $sum(sK0(sK1),-1) )
| ( sK1 != sK1 )
| ~ spl3_10
| spl3_308 ),
inference(superposition,[],[f9706,f1049]) ).
tff(f9706,plain,
( ( $product(2,$sum(sK1,div1(0,2))) != sK1 )
| spl3_308 ),
inference(avatar_component_clause,[],[f9704]) ).
tff(f9775,plain,
( ~ spl3_1
| ~ spl3_220
| spl3_312 ),
inference(avatar_contradiction_clause,[],[f9774]) ).
tff(f9774,plain,
( $false
| ~ spl3_1
| ~ spl3_220
| spl3_312 ),
inference(subsumption_resolution,[],[f9773,f371]) ).
tff(f9773,plain,
( ~ is_power_of_21(sK1)
| ~ spl3_220
| spl3_312 ),
inference(forward_demodulation,[],[f9772,f8614]) ).
tff(f9772,plain,
( ~ is_power_of_21($sum(sK1,0))
| spl3_312 ),
inference(evaluation,[],[f9769]) ).
tff(f9769,plain,
( $less(0,$sum(0,$uminus(0)))
| ~ is_power_of_21($sum(sK1,0))
| spl3_312 ),
inference(superposition,[],[f9748,f346]) ).
tff(f9748,plain,
( ~ is_power_of_21($sum(sK1,abs1(0)))
| spl3_312 ),
inference(avatar_component_clause,[],[f9746]) ).
tff(f9746,plain,
( spl3_312
<=> is_power_of_21($sum(sK1,abs1(0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_312])]) ).
tff(f9753,plain,
( ~ spl3_312
| ~ spl3_313
| ~ spl3_10
| spl3_311 ),
inference(avatar_split_clause,[],[f9740,f9719,f446,f9750,f9746]) ).
tff(f9750,plain,
( spl3_313
<=> ( sK0($sum(sK1,abs1(0))) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_313])]) ).
tff(f9719,plain,
( spl3_311
<=> ( sK1 = $product(2,$sum(sK1,abs1(0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_311])]) ).
tff(f9740,plain,
( ( sK0($sum(sK1,abs1(0))) != $sum(sK0(sK1),-1) )
| ~ is_power_of_21($sum(sK1,abs1(0)))
| ~ spl3_10
| spl3_311 ),
inference(trivial_inequality_removal,[],[f9738]) ).
tff(f9738,plain,
( ~ is_power_of_21($sum(sK1,abs1(0)))
| ( sK0($sum(sK1,abs1(0))) != $sum(sK0(sK1),-1) )
| ( sK1 != sK1 )
| ~ spl3_10
| spl3_311 ),
inference(superposition,[],[f9721,f1049]) ).
tff(f9721,plain,
( ( sK1 != $product(2,$sum(sK1,abs1(0))) )
| spl3_311 ),
inference(avatar_component_clause,[],[f9719]) ).
tff(f9722,plain,
( ~ spl3_311
| spl3_223 ),
inference(avatar_split_clause,[],[f9698,f8643,f9719]) ).
tff(f8643,plain,
( spl3_223
<=> ( sK1 = $product(2,$sum(sK1,abs1(div1(0,2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_223])]) ).
tff(f9698,plain,
( ( sK1 != $product(2,$sum(sK1,abs1(0))) )
| spl3_223 ),
inference(evaluation,[],[f9690]) ).
tff(f9690,plain,
( $less(0,$sum($sum(0,1),$uminus(2)))
| ( sK1 != $product(2,$sum(sK1,abs1(0))) )
| $less(0,$sum(0,$uminus(0)))
| spl3_223 ),
inference(superposition,[],[f8645,f350]) ).
tff(f8645,plain,
( ( sK1 != $product(2,$sum(sK1,abs1(div1(0,2)))) )
| spl3_223 ),
inference(avatar_component_clause,[],[f8643]) ).
tff(f9717,plain,
( ~ spl3_310
| ~ spl3_269
| ~ spl3_10
| spl3_223 ),
inference(avatar_split_clause,[],[f9699,f8643,f446,f9011,f9714]) ).
tff(f9714,plain,
( spl3_310
<=> ( sK0($sum(sK1,abs1(div1(0,2)))) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_310])]) ).
tff(f9011,plain,
( spl3_269
<=> is_power_of_21($sum(sK1,abs1(div1(0,2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_269])]) ).
tff(f9699,plain,
( ~ is_power_of_21($sum(sK1,abs1(div1(0,2))))
| ( sK0($sum(sK1,abs1(div1(0,2)))) != $sum(sK0(sK1),-1) )
| ~ spl3_10
| spl3_223 ),
inference(trivial_inequality_removal,[],[f9694]) ).
tff(f9694,plain,
( ( sK1 != sK1 )
| ( sK0($sum(sK1,abs1(div1(0,2)))) != $sum(sK0(sK1),-1) )
| ~ is_power_of_21($sum(sK1,abs1(div1(0,2))))
| ~ spl3_10
| spl3_223 ),
inference(superposition,[],[f8645,f1049]) ).
tff(f9712,plain,
( spl3_309
| ~ spl3_308
| spl3_223 ),
inference(avatar_split_clause,[],[f9692,f8643,f9704,f9709]) ).
tff(f9709,plain,
( spl3_309
<=> $less(0,$sum(0,$uminus(div1(0,2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_309])]) ).
tff(f9692,plain,
( ( $product(2,$sum(sK1,div1(0,2))) != sK1 )
| $less(0,$sum(0,$uminus(div1(0,2))))
| spl3_223 ),
inference(superposition,[],[f8645,f346]) ).
tff(f9707,plain,
( spl3_307
| ~ spl3_308
| ~ spl3_3
| spl3_223 ),
inference(avatar_split_clause,[],[f9691,f8643,f379,f9704,f9701]) ).
tff(f9701,plain,
( spl3_307
<=> ! [X0: $int,X1: $int] :
( $less(0,X0)
| ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,$sum($sum(X1,$uminus(div1(0,2))),$uminus(X1)))
| ( mod1(X0,X1) != -1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_307])]) ).
tff(f9691,plain,
( ! [X0: $int,X1: $int] :
( ( $product(2,$sum(sK1,div1(0,2))) != sK1 )
| $less(0,X0)
| ( mod1(X0,X1) != -1 )
| $less(0,$sum($sum(X1,$uminus(div1(0,2))),$uminus(X1)))
| ( sK1 != $product(X1,div1(X0,X1)) ) )
| ~ spl3_3
| spl3_223 ),
inference(superposition,[],[f8645,f742]) ).
tff(f9607,plain,
( ~ spl3_305
| spl3_306
| ~ spl3_3
| spl3_268 ),
inference(avatar_split_clause,[],[f9575,f8905,f379,f9605,f9600]) ).
tff(f9605,plain,
( spl3_306
<=> ! [X0: $int,X1: $int] :
( ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,X0)
| ( mod1(X0,X1) != -1 )
| $less(0,$sum($sum(1,div1(sK1,2)),$uminus(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_306])]) ).
tff(f8905,plain,
( spl3_268
<=> ( mod1(0,$sum(sK1,$uminus(div1(sK1,2)))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_268])]) ).
tff(f9575,plain,
( ! [X0: $int,X1: $int] :
( ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,$sum($sum(1,div1(sK1,2)),$uminus(X1)))
| ( mod1(0,$sum(sK1,abs1(div1(sK1,2)))) != -1 )
| ( mod1(X0,X1) != -1 )
| $less(0,X0) )
| ~ spl3_3
| spl3_268 ),
inference(superposition,[],[f8907,f682]) ).
tff(f8907,plain,
( ( mod1(0,$sum(sK1,$uminus(div1(sK1,2)))) != -1 )
| spl3_268 ),
inference(avatar_component_clause,[],[f8905]) ).
tff(f9603,plain,
( spl3_304
| ~ spl3_305
| spl3_268 ),
inference(avatar_split_clause,[],[f9576,f8905,f9600,f9596]) ).
tff(f9596,plain,
( spl3_304
<=> $less(0,$sum(1,div1(sK1,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_304])]) ).
tff(f9576,plain,
( ( mod1(0,$sum(sK1,abs1(div1(sK1,2)))) != -1 )
| $less(0,$sum(1,div1(sK1,2)))
| spl3_268 ),
inference(superposition,[],[f8907,f333]) ).
tff(f9594,plain,
( spl3_302
| spl3_303
| spl3_268 ),
inference(avatar_split_clause,[],[f9586,f8905,f9591,f9588]) ).
tff(f9588,plain,
( spl3_302
<=> ! [X1: $int] :
( ( mod1($sum(0,$uminus($product($sum(sK1,$uminus(div1(sK1,2))),X1))),$sum(sK1,$uminus(div1(sK1,2)))) != -1 )
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus($sum(0,$uminus($product($sum(sK1,$uminus(div1(sK1,2))),X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_302])]) ).
tff(f9591,plain,
( spl3_303
<=> $less(0,$sum(1,$uminus($sum(sK1,$uminus(div1(sK1,2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_303])]) ).
tff(f9586,plain,
( ! [X1: $int] :
( $less(0,$sum(1,$uminus($sum(sK1,$uminus(div1(sK1,2))))))
| ( mod1($sum(0,$uminus($product($sum(sK1,$uminus(div1(sK1,2))),X1))),$sum(sK1,$uminus(div1(sK1,2)))) != -1 )
| $less(0,$sum(0,$uminus($sum(0,$uminus($product($sum(sK1,$uminus(div1(sK1,2))),X1))))))
| $less(0,$sum(0,$uminus(X1))) )
| spl3_268 ),
inference(gaussian_variable_elimination,[],[f9579]) ).
tff(f9579,plain,
( ! [X2: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| ( mod1(X2,$sum(sK1,$uminus(div1(sK1,2)))) != -1 )
| $less(0,$sum(1,$uminus($sum(sK1,$uminus(div1(sK1,2))))))
| $less(0,$sum(0,$uminus(X2)))
| ( 0 != $sum($product($sum(sK1,$uminus(div1(sK1,2))),X1),X2) ) )
| spl3_268 ),
inference(constrained_superposition,[],[f8907,f354]) ).
tff(f9535,plain,
( ~ spl3_300
| ~ spl3_301
| ~ spl3_3
| spl3_293 ),
inference(avatar_split_clause,[],[f9526,f9363,f379,f9532,f9528]) ).
tff(f9528,plain,
( spl3_300
<=> ( $product($sum(2,$uminus(sK1)),div1(0,$sum(2,$uminus(sK1)))) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_300])]) ).
tff(f9532,plain,
( spl3_301
<=> ( mod1(0,$sum(2,$uminus(sK1))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_301])]) ).
tff(f9363,plain,
( spl3_293
<=> ( 2 = $sum(sK1,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_293])]) ).
tff(f9526,plain,
( ( mod1(0,$sum(2,$uminus(sK1))) != -1 )
| ( $product($sum(2,$uminus(sK1)),div1(0,$sum(2,$uminus(sK1)))) != sK1 )
| ~ spl3_3
| spl3_293 ),
inference(gaussian_variable_elimination,[],[f9510]) ).
tff(f9510,plain,
( ! [X0: $int] :
( ( 2 != $sum(sK1,X0) )
| ( -1 != mod1(0,X0) )
| ( sK1 != $product(X0,div1(0,X0)) ) )
| ~ spl3_3
| spl3_293 ),
inference(superposition,[],[f9365,f574]) ).
tff(f574,plain,
( ! [X0: $int] :
( ( -1 != mod1(0,X0) )
| ( 0 = X0 )
| ( sK1 != $product(X0,div1(0,X0)) ) )
| ~ spl3_3 ),
inference(interpreted_simplification,[],[f573]) ).
tff(f573,plain,
( ! [X0: $int] :
( ( 0 = X0 )
| ( sK1 != $product(X0,div1(0,X0)) )
| $less(0,0)
| ( -1 != mod1(0,X0) ) )
| ~ spl3_3 ),
inference(instantiation,[],[f401]) ).
tff(f9365,plain,
( ( 2 != $sum(sK1,0) )
| spl3_293 ),
inference(avatar_component_clause,[],[f9363]) ).
tff(f9498,plain,
( spl3_299
| spl3_159
| ~ spl3_208
| spl3_291 ),
inference(avatar_split_clause,[],[f9494,f9354,f8414,f7210,f9496]) ).
tff(f9496,plain,
( spl3_299
<=> ! [X2: $int] :
( ( 2 != $sum(sK1,mod1(X2,sK1)) )
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X2,sK1))))))
| $less(0,$sum(0,$uminus(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_299])]) ).
tff(f9354,plain,
( spl3_291
<=> ( 1 = div1(2,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_291])]) ).
tff(f9494,plain,
( ! [X2: $int] :
( $less(0,$sum(1,$uminus(sK1)))
| ( 2 != $sum(sK1,mod1(X2,sK1)) )
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X2,sK1)))))) )
| ~ spl3_208
| spl3_291 ),
inference(forward_subsumption_demodulation,[],[f9493,f8415]) ).
tff(f9493,plain,
( ! [X2: $int] :
( ( 2 != $sum($product(sK1,$sum(1,$uminus(div1(X2,sK1)))),X2) )
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X2,sK1))))))
| $less(0,$sum(1,$uminus(sK1)))
| $less(0,$sum(0,$uminus(X2))) )
| spl3_291 ),
inference(gaussian_variable_elimination,[],[f9489]) ).
tff(f9489,plain,
( ! [X2: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(1,$uminus(sK1)))
| ( 1 != $sum(X1,div1(X2,sK1)) )
| $less(0,$sum(0,$uminus(X2)))
| ( 2 != $sum($product(sK1,X1),X2) ) )
| spl3_291 ),
inference(constrained_superposition,[],[f9356,f356]) ).
tff(f9356,plain,
( ( 1 != div1(2,sK1) )
| spl3_291 ),
inference(avatar_component_clause,[],[f9354]) ).
tff(f9485,plain,
( spl3_16
| spl3_298
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f9429,f379,f9483,f522]) ).
tff(f9483,plain,
( spl3_298
<=> ! [X2: $int,X1: $int] :
( ( sK1 != $product(X2,div1(X1,X2)) )
| ( mod1(X1,X2) != -1 )
| $less(0,$sum(X1,-1))
| ( 1 = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_298])]) ).
tff(f9429,plain,
( ! [X2: $int,X1: $int] :
( ( sK1 != $product(X2,div1(X1,X2)) )
| ( 1 = X2 )
| $less(0,$sum(X1,-1))
| ( mod1(X1,X2) != -1 )
| $less(0,$sum(0,abs1(1))) )
| ~ spl3_3 ),
inference(evaluation,[],[f9418]) ).
tff(f9418,plain,
( ! [X2: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(1)))
| $less(0,$sum(0,abs1(1)))
| ( sK1 != $product(X2,div1(X1,X2)) )
| ( mod1(X1,X2) != -1 )
| ( 1 = X2 ) )
| ~ spl3_3 ),
inference(superposition,[],[f714,f259]) ).
tff(f9475,plain,
( spl3_296
| spl3_297
| ~ spl3_3
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f9451,f8551,f379,f9473,f9470]) ).
tff(f9470,plain,
( spl3_296
<=> ! [X3: $int] : $less(0,$sum(mod1(X3,0),abs1(0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_296])]) ).
tff(f9473,plain,
( spl3_297
<=> ! [X2: $int,X1: $int] :
( ( mod1($product(1,X1),X2) != -1 )
| ( 0 = X2 )
| $less(0,X1)
| ( sK1 != $product(X2,div1($product(1,X1),X2)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_297])]) ).
tff(f9451,plain,
( ! [X2: $int,X3: $int,X1: $int] :
( ( mod1($product(1,X1),X2) != -1 )
| ( sK1 != $product(X2,div1($product(1,X1),X2)) )
| $less(0,X1)
| $less(0,$sum(mod1(X3,0),abs1(0)))
| ( 0 = X2 ) )
| ~ spl3_3
| ~ spl3_216 ),
inference(evaluation,[],[f9450]) ).
tff(f9450,plain,
( ! [X2: $int,X3: $int,X1: $int] :
( ( $uminus(0) = X2 )
| ( mod1($product(1,X1),X2) != -1 )
| $less(0,X1)
| $less(0,$sum(mod1(X3,$uminus(0)),abs1($uminus(0))))
| ( sK1 != $product(X2,div1($product(1,X1),X2)) ) )
| ~ spl3_3
| ~ spl3_216 ),
inference(gaussian_variable_elimination,[],[f9393]) ).
tff(f9393,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less(0,$sum(mod1(X3,X0),abs1(X0)))
| $less(0,X1)
| ( sK1 != $product(X2,div1($product(1,X1),X2)) )
| ( X0 = X2 )
| ( 0 != $uminus(X0) )
| ( mod1($product(1,X1),X2) != -1 ) )
| ~ spl3_3
| ~ spl3_216 ),
inference(constrained_superposition,[],[f714,f8552]) ).
tff(f9375,plain,
( ~ spl3_294
| ~ spl3_295
| ~ spl3_64
| spl3_290 ),
inference(avatar_split_clause,[],[f9348,f9324,f2860,f9372,f9368]) ).
tff(f9368,plain,
( spl3_294
<=> is_power_of_21($sum(2,div1(0,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_294])]) ).
tff(f9372,plain,
( spl3_295
<=> ( sK0($sum(2,div1(0,2))) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_295])]) ).
tff(f9324,plain,
( spl3_290
<=> ( 2 = $sum(sK1,$uminus(div1(0,2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_290])]) ).
tff(f9348,plain,
( ( sK0($sum(2,div1(0,2))) != $product(sK0(sK1),1) )
| ~ is_power_of_21($sum(2,div1(0,2)))
| ~ spl3_64
| spl3_290 ),
inference(evaluation,[],[f9347]) ).
tff(f9347,plain,
( ( sK0($sum(2,$uminus($uminus(div1(0,2))))) != $product(sK0(sK1),1) )
| ~ is_power_of_21($sum(2,$uminus($uminus(div1(0,2)))))
| ~ spl3_64
| spl3_290 ),
inference(gaussian_variable_elimination,[],[f9328]) ).
tff(f9328,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( 2 != $sum(X0,$uminus(div1(0,2))) )
| ( sK0(X0) != $product(sK0(sK1),1) ) )
| ~ spl3_64
| spl3_290 ),
inference(superposition,[],[f9326,f3491]) ).
tff(f9326,plain,
( ( 2 != $sum(sK1,$uminus(div1(0,2))) )
| spl3_290 ),
inference(avatar_component_clause,[],[f9324]) ).
tff(f9366,plain,
( ~ spl3_293
| spl3_290 ),
inference(avatar_split_clause,[],[f9349,f9324,f9363]) ).
tff(f9349,plain,
( ( 2 != $sum(sK1,0) )
| spl3_290 ),
inference(evaluation,[],[f9341]) ).
tff(f9341,plain,
( $less(0,$sum($sum(0,1),$uminus(2)))
| ( 2 != $sum(sK1,$uminus(0)) )
| $less(0,$sum(0,$uminus(0)))
| spl3_290 ),
inference(superposition,[],[f9326,f350]) ).
tff(f9361,plain,
( ~ spl3_291
| ~ spl3_292
| spl3_14
| ~ spl3_130
| spl3_290 ),
inference(avatar_split_clause,[],[f9352,f9324,f7038,f472,f9358,f9354]) ).
tff(f9358,plain,
( spl3_292
<=> ( $uminus(div1(0,2)) = mod1(2,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_292])]) ).
tff(f9352,plain,
( ( $uminus(div1(0,2)) != mod1(2,sK1) )
| ( 1 != div1(2,sK1) )
| spl3_14
| ~ spl3_130
| spl3_290 ),
inference(gaussian_variable_elimination,[],[f9345]) ).
tff(f9345,plain,
( ! [X0: $int] :
( ( 2 != X0 )
| ( mod1(X0,sK1) != $uminus(div1(0,2)) )
| ( 1 != div1(X0,sK1) ) )
| spl3_14
| ~ spl3_130
| spl3_290 ),
inference(constrained_superposition,[],[f9326,f7217]) ).
tff(f9327,plain,
( ~ spl3_290
| spl3_202
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9321,f8633,f8352,f9324]) ).
tff(f8352,plain,
( spl3_202
<=> is_power_of_21(2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_202])]) ).
tff(f9321,plain,
( ( 2 != $sum(sK1,$uminus(div1(0,2))) )
| spl3_202
| ~ spl3_221 ),
inference(constrained_resolution,[],[f8354,f8634]) ).
tff(f8354,plain,
( ~ is_power_of_21(2)
| spl3_202 ),
inference(avatar_component_clause,[],[f8352]) ).
tff(f9320,plain,
( ~ spl3_202
| ~ spl3_289
| spl3_218 ),
inference(avatar_split_clause,[],[f9312,f8574,f9317,f8352]) ).
tff(f9317,plain,
( spl3_289
<=> ( sK0(2) = $sum(sK0(sK1),$uminus(sK0(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_289])]) ).
tff(f8574,plain,
( spl3_218
<=> ( 2 = power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_218])]) ).
tff(f9312,plain,
( ( sK0(2) != $sum(sK0(sK1),$uminus(sK0(sK1))) )
| ~ is_power_of_21(2)
| spl3_218 ),
inference(gaussian_variable_elimination,[],[f9306]) ).
tff(f9306,plain,
( ! [X2: $int] :
( ( sK0(X2) != $sum(sK0(sK1),$uminus(sK0(sK1))) )
| ( 2 != X2 )
| ~ is_power_of_21(X2) )
| spl3_218 ),
inference(constrained_superposition,[],[f8576,f311]) ).
tff(f8576,plain,
( ( 2 != power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))) )
| spl3_218 ),
inference(avatar_component_clause,[],[f8574]) ).
tff(f9299,plain,
( ~ spl3_287
| ~ spl3_288
| ~ spl3_3
| spl3_281 ),
inference(avatar_split_clause,[],[f9288,f9230,f379,f9296,f9292]) ).
tff(f9292,plain,
( spl3_287
<=> ( $product($sum(sK1,$uminus(sK0(sK1))),div1(0,$sum(sK1,$uminus(sK0(sK1))))) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_287])]) ).
tff(f9296,plain,
( spl3_288
<=> ( mod1(0,$sum(sK1,$uminus(sK0(sK1)))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_288])]) ).
tff(f9288,plain,
( ( mod1(0,$sum(sK1,$uminus(sK0(sK1)))) != -1 )
| ( $product($sum(sK1,$uminus(sK0(sK1))),div1(0,$sum(sK1,$uminus(sK0(sK1))))) != sK1 )
| ~ spl3_3
| spl3_281 ),
inference(gaussian_variable_elimination,[],[f9279]) ).
tff(f9279,plain,
( ! [X0: $int] :
( ( sK1 != $product(X0,div1(0,X0)) )
| ( sK1 != $sum(sK0(sK1),X0) )
| ( -1 != mod1(0,X0) ) )
| ~ spl3_3
| spl3_281 ),
inference(superposition,[],[f9232,f574]) ).
tff(f9260,plain,
( spl3_284
| spl3_285
| spl3_286
| ~ spl3_3
| ~ spl3_266 ),
inference(avatar_split_clause,[],[f9249,f8887,f379,f9258,f9254,f9251]) ).
tff(f9251,plain,
( spl3_284
<=> ! [X2: $int] : ( power1(X2,sK1) != $sum(sK1,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_284])]) ).
tff(f9254,plain,
( spl3_285
<=> ( 0 = $sum(sK1,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_285])]) ).
tff(f9258,plain,
( spl3_286
<=> ! [X11: $int,X10: $int] :
( $less(0,X10)
| ( 1 != div1(X10,$sum(sK1,-1)) )
| $less(0,$sum(mod1(X11,$uminus(mod1(X10,$sum(sK1,-1)))),abs1($uminus(mod1(X10,$sum(sK1,-1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_286])]) ).
tff(f8887,plain,
( spl3_266
<=> ! [X0: $int] : ( power1(X0,sK1) = $product(power1(X0,sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_266])]) ).
tff(f9249,plain,
( ! [X2: $int,X10: $int,X11: $int] :
( $less(0,X10)
| $less(0,$sum(mod1(X11,$uminus(mod1(X10,$sum(sK1,-1)))),abs1($uminus(mod1(X10,$sum(sK1,-1))))))
| ( 1 != div1(X10,$sum(sK1,-1)) )
| ( 0 = $sum(sK1,-1) )
| ( power1(X2,sK1) != $sum(sK1,-1) ) )
| ~ spl3_3
| ~ spl3_266 ),
inference(inner_rewriting,[],[f9191]) ).
tff(f9191,plain,
( ! [X2: $int,X10: $int,X11: $int] :
( ( 0 = power1(X2,sK1) )
| $less(0,$sum(mod1(X11,$uminus(mod1(X10,power1(X2,sK1)))),abs1($uminus(mod1(X10,power1(X2,sK1))))))
| ( 1 != div1(X10,power1(X2,sK1)) )
| $less(0,X10)
| ( power1(X2,sK1) != $sum(sK1,-1) ) )
| ~ spl3_3
| ~ spl3_266 ),
inference(constrained_superposition,[],[f503,f8888]) ).
tff(f8888,plain,
( ! [X0: $int] : ( power1(X0,sK1) = $product(power1(X0,sK1),1) )
| ~ spl3_266 ),
inference(avatar_component_clause,[],[f8887]) ).
tff(f503,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,$sum(mod1(X3,$uminus(mod1(X1,X0))),abs1($uminus(mod1(X1,X0)))))
| $less(0,X1)
| ( $product(X0,div1(X1,X0)) != $sum(sK1,-1) )
| ( 0 = X0 ) )
| ~ spl3_3 ),
inference(gaussian_variable_elimination,[],[f485]) ).
tff(f485,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( $less(0,$sum(mod1(X3,X2),abs1(X2)))
| ( 0 = X0 )
| ( $product(X0,div1(X1,X0)) != $sum(sK1,-1) )
| ( $uminus(X2) != mod1(X1,X0) )
| $less(0,X1) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f406,f271]) ).
tff(f9245,plain,
( ~ spl3_281
| spl3_282
| ~ spl3_110
| ~ spl3_266 ),
inference(avatar_split_clause,[],[f9183,f8887,f6345,f9234,f9230]) ).
tff(f9234,plain,
( spl3_282
<=> ( sK1 = power1(2,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_282])]) ).
tff(f6345,plain,
( spl3_110
<=> ( sK1 = $product(power1(2,$sum(sK0(sK1),0)),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_110])]) ).
tff(f9183,plain,
( ( sK1 = power1(2,sK1) )
| ( sK1 != $sum(sK0(sK1),0) )
| ~ spl3_110
| ~ spl3_266 ),
inference(constrained_superposition,[],[f8888,f6347]) ).
tff(f6347,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),0)),1) )
| ~ spl3_110 ),
inference(avatar_component_clause,[],[f6345]) ).
tff(f9241,plain,
( spl3_283
| spl3_56
| ~ spl3_266 ),
inference(avatar_split_clause,[],[f9178,f8887,f2443,f9239]) ).
tff(f9239,plain,
( spl3_283
<=> ! [X4: $int,X5: $int] :
( $less(0,$sum(0,$uminus(X5)))
| ( power1(X4,$product(X5,sK1)) = $product(power1(X4,$product(X5,sK1)),1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_283])]) ).
tff(f9178,plain,
( ! [X4: $int,X5: $int] :
( $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(0,$uminus(X5)))
| ( power1(X4,$product(X5,sK1)) = $product(power1(X4,$product(X5,sK1)),1) ) )
| ~ spl3_266 ),
inference(superposition,[],[f8888,f353]) ).
tff(f353,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(0,$uminus(X0)))
| ( power1(X1,$product(X0,X2)) = power1(power1(X1,X0),X2) ) ),
inference(evaluation,[],[f315]) ).
tff(f315,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,0)
| $less(X0,0)
| ( power1(X1,$product(X0,X2)) = power1(power1(X1,X0),X2) ) ),
inference(cnf_transformation,[],[f240]) ).
tff(f240,plain,
! [X0: $int,X1: $int,X2: $int] :
( $less(X0,0)
| ( power1(X1,$product(X0,X2)) = power1(power1(X1,X0),X2) )
| $less(X2,0) ),
inference(rectify,[],[f167]) ).
tff(f167,plain,
! [X0: $int,X2: $int,X1: $int] :
( $less(X0,0)
| ( power1(power1(X2,X0),X1) = power1(X2,$product(X0,X1)) )
| $less(X1,0) ),
inference(flattening,[],[f166]) ).
tff(f166,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( power1(power1(X2,X0),X1) = power1(X2,$product(X0,X1)) )
| $less(X1,0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: $int,X1: $int,X2: $int] :
( ~ $less(X0,0)
=> ( ~ $less(X1,0)
=> ( power1(power1(X2,X0),X1) = power1(X2,$product(X0,X1)) ) ) ),
inference(rectify,[],[f77]) ).
tff(f77,plain,
! [X8: $int,X9: $int,X1: $int] :
( ~ $less(X8,0)
=> ( ~ $less(X9,0)
=> ( power1(X1,$product(X8,X9)) = power1(power1(X1,X8),X9) ) ) ),
inference(theory_normalization,[],[f31]) ).
tff(f31,axiom,
! [X8: $int,X9: $int,X1: $int] :
( $lesseq(0,X8)
=> ( $lesseq(0,X9)
=> ( power1(X1,$product(X8,X9)) = power1(power1(X1,X8),X9) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_mult) ).
tff(f9237,plain,
( ~ spl3_281
| spl3_282
| ~ spl3_110
| ~ spl3_266 ),
inference(avatar_split_clause,[],[f9185,f8887,f6345,f9234,f9230]) ).
tff(f9185,plain,
( ( sK1 = power1(2,sK1) )
| ( sK1 != $sum(sK0(sK1),0) )
| ~ spl3_110
| ~ spl3_266 ),
inference(constrained_superposition,[],[f6347,f8888]) ).
tff(f9227,plain,
( spl3_56
| spl3_280
| ~ spl3_6
| ~ spl3_266 ),
inference(avatar_split_clause,[],[f9181,f8887,f429,f9224,f2443]) ).
tff(f9224,plain,
( spl3_280
<=> ( $product(power1(2,$product(sK0(sK1),sK1)),1) = power1(2,$product(sK0(sK1),sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_280])]) ).
tff(f429,plain,
( spl3_6
<=> ! [X0: $int] :
( $less(0,$sum(0,$uminus(X0)))
| ( power1(2,$product(sK0(sK1),X0)) = power1(sK1,X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
tff(f9181,plain,
( ( $product(power1(2,$product(sK0(sK1),sK1)),1) = power1(2,$product(sK0(sK1),sK1)) )
| $less(0,$sum(0,$uminus(sK1)))
| ~ spl3_6
| ~ spl3_266 ),
inference(superposition,[],[f8888,f430]) ).
tff(f430,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(X0)))
| ( power1(2,$product(sK0(sK1),X0)) = power1(sK1,X0) ) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f429]) ).
tff(f9218,plain,
( spl3_279
| spl3_56
| ~ spl3_266 ),
inference(avatar_split_clause,[],[f9177,f8887,f2443,f9216]) ).
tff(f9216,plain,
( spl3_279
<=> ! [X2: $int,X3: $int] : ( $product(power1(X2,sK1),power1(X3,sK1)) = $product($product(power1(X2,sK1),power1(X3,sK1)),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_279])]) ).
tff(f9177,plain,
( ! [X2: $int,X3: $int] :
( $less(0,$sum(0,$uminus(sK1)))
| ( $product(power1(X2,sK1),power1(X3,sK1)) = $product($product(power1(X2,sK1),power1(X3,sK1)),1) ) )
| ~ spl3_266 ),
inference(superposition,[],[f8888,f349]) ).
tff(f349,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X2)))
| ( power1($product(X1,X0),X2) = $product(power1(X1,X2),power1(X0,X2)) ) ),
inference(evaluation,[],[f303]) ).
tff(f303,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,0)
| ( power1($product(X1,X0),X2) = $product(power1(X1,X2),power1(X0,X2)) ) ),
inference(cnf_transformation,[],[f230]) ).
tff(f230,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( power1($product(X1,X0),X2) = $product(power1(X1,X2),power1(X0,X2)) )
| $less(X2,0) ),
inference(rectify,[],[f202]) ).
tff(f202,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( power1($product(X2,X0),X1) = $product(power1(X2,X1),power1(X0,X1)) )
| $less(X1,0) ),
inference(ennf_transformation,[],[f157]) ).
tff(f157,plain,
! [X2: $int,X1: $int,X0: $int] :
( ~ $less(X1,0)
=> ( power1($product(X2,X0),X1) = $product(power1(X2,X1),power1(X0,X1)) ) ),
inference(rectify,[],[f93]) ).
tff(f93,plain,
! [X7: $int,X8: $int,X1: $int] :
( ~ $less(X8,0)
=> ( power1($product(X1,X7),X8) = $product(power1(X1,X8),power1(X7,X8)) ) ),
inference(theory_normalization,[],[f32]) ).
tff(f32,axiom,
! [X7: $int,X8: $int,X1: $int] :
( $lesseq(0,X8)
=> ( power1($product(X1,X7),X8) = $product(power1(X1,X8),power1(X7,X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_mult2) ).
tff(f9101,plain,
( spl3_271
| ~ spl3_275
| ~ spl3_64
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9045,f8633,f2860,f9082,f9022]) ).
tff(f9022,plain,
( spl3_271
<=> ( $sum(sK1,$uminus(div1(0,2))) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_271])]) ).
tff(f9045,plain,
( ( sK0($sum(sK1,$uminus(div1(0,2)))) != $product(sK0(sK1),1) )
| ( $sum(sK1,$uminus(div1(0,2))) = sK1 )
| ~ spl3_64
| ~ spl3_221 ),
inference(resolution,[],[f8634,f3491]) ).
tff(f9100,plain,
( ~ spl3_278
| spl3_59
| ~ spl3_63
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9046,f8633,f2854,f2509,f9095]) ).
tff(f9095,plain,
( spl3_278
<=> ( $product(sK0(sK1),0) = sK0($sum(sK1,$uminus(div1(0,2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_278])]) ).
tff(f2509,plain,
( spl3_59
<=> is_power_of_21(1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
tff(f2854,plain,
( spl3_63
<=> ( 1 = power1(2,$product(sK0(sK1),0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_63])]) ).
tff(f9046,plain,
( ( $product(sK0(sK1),0) != sK0($sum(sK1,$uminus(div1(0,2)))) )
| spl3_59
| ~ spl3_63
| ~ spl3_221 ),
inference(resolution,[],[f8634,f8221]) ).
tff(f8221,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( $product(sK0(sK1),0) != sK0(X0) ) )
| spl3_59
| ~ spl3_63 ),
inference(duplicate_literal_removal,[],[f8213]) ).
tff(f8213,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ~ is_power_of_21(X0)
| ( $product(sK0(sK1),0) != sK0(X0) ) )
| spl3_59
| ~ spl3_63 ),
inference(superposition,[],[f2511,f2941]) ).
tff(f2941,plain,
( ! [X1: $int] :
( ( $product(sK0(sK1),0) != sK0(X1) )
| ( 1 = X1 )
| ~ is_power_of_21(X1) )
| ~ spl3_63 ),
inference(constrained_superposition,[],[f2856,f311]) ).
tff(f2856,plain,
( ( 1 = power1(2,$product(sK0(sK1),0)) )
| ~ spl3_63 ),
inference(avatar_component_clause,[],[f2854]) ).
tff(f2511,plain,
( ~ is_power_of_21(1)
| spl3_59 ),
inference(avatar_component_clause,[],[f2509]) ).
tff(f9098,plain,
( spl3_277
| ~ spl3_278
| ~ spl3_63
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9044,f8633,f2854,f9095,f9091]) ).
tff(f9091,plain,
( spl3_277
<=> ( 1 = $sum(sK1,$uminus(div1(0,2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_277])]) ).
tff(f9044,plain,
( ( $product(sK0(sK1),0) != sK0($sum(sK1,$uminus(div1(0,2)))) )
| ( 1 = $sum(sK1,$uminus(div1(0,2))) )
| ~ spl3_63
| ~ spl3_221 ),
inference(resolution,[],[f8634,f2941]) ).
tff(f9089,plain,
( ~ spl3_275
| spl3_276
| ~ spl3_64
| ~ spl3_89
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9047,f8633,f3557,f2860,f9086,f9082]) ).
tff(f9086,plain,
( spl3_276
<=> $less(0,$sum(sK1,$uminus(div1(0,2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_276])]) ).
tff(f3557,plain,
( spl3_89
<=> $less(0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).
tff(f9047,plain,
( $less(0,$sum(sK1,$uminus(div1(0,2))))
| ( sK0($sum(sK1,$uminus(div1(0,2)))) != $product(sK0(sK1),1) )
| ~ spl3_64
| ~ spl3_89
| ~ spl3_221 ),
inference(resolution,[],[f8634,f8318]) ).
tff(f8318,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( sK0(X0) != $product(sK0(sK1),1) )
| $less(0,X0) )
| ~ spl3_64
| ~ spl3_89 ),
inference(superposition,[],[f3559,f3491]) ).
tff(f3559,plain,
( $less(0,sK1)
| ~ spl3_89 ),
inference(avatar_component_clause,[],[f3557]) ).
tff(f9080,plain,
( spl3_274
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9039,f8633,f9077]) ).
tff(f9077,plain,
( spl3_274
<=> $less(0,$sum(1,sK0($sum(sK1,$uminus(div1(0,2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_274])]) ).
tff(f9039,plain,
( $less(0,$sum(1,sK0($sum(sK1,$uminus(div1(0,2))))))
| ~ spl3_221 ),
inference(resolution,[],[f8634,f340]) ).
tff(f340,plain,
! [X0: $int] :
( ~ is_power_of_21(X0)
| $less(0,$sum(1,sK0(X0))) ),
inference(evaluation,[],[f312]) ).
tff(f312,plain,
! [X0: $int] :
( ~ is_power_of_21(X0)
| ~ $less(sK0(X0),0) ),
inference(cnf_transformation,[],[f237]) ).
tff(f9075,plain,
( spl3_273
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9038,f8633,f9072]) ).
tff(f9072,plain,
( spl3_273
<=> ( $sum(sK1,$uminus(div1(0,2))) = power1(2,sK0($sum(sK1,$uminus(div1(0,2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_273])]) ).
tff(f9038,plain,
( ( $sum(sK1,$uminus(div1(0,2))) = power1(2,sK0($sum(sK1,$uminus(div1(0,2))))) )
| ~ spl3_221 ),
inference(resolution,[],[f8634,f311]) ).
tff(f9070,plain,
( spl3_269
| spl3_215
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9063,f8633,f8495,f9011]) ).
tff(f8495,plain,
( spl3_215
<=> $less(0,$sum(1,div1(0,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_215])]) ).
tff(f9063,plain,
( $less(0,$sum(1,div1(0,2)))
| is_power_of_21($sum(sK1,abs1(div1(0,2))))
| ~ spl3_221 ),
inference(superposition,[],[f8634,f333]) ).
tff(f9069,plain,
( spl3_269
| spl3_214
| ~ spl3_3
| ~ spl3_221 ),
inference(avatar_split_clause,[],[f9062,f8633,f379,f8491,f9011]) ).
tff(f8491,plain,
( spl3_214
<=> ! [X0: $int,X1: $int] :
( $less(0,X0)
| ( mod1(X0,X1) != -1 )
| ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,$sum($sum(1,div1(0,2)),$uminus(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_214])]) ).
tff(f9062,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(1,div1(0,2)),$uminus(X1)))
| ( sK1 != $product(X1,div1(X0,X1)) )
| ( mod1(X0,X1) != -1 )
| is_power_of_21($sum(sK1,abs1(div1(0,2))))
| $less(0,X0) )
| ~ spl3_3
| ~ spl3_221 ),
inference(superposition,[],[f8634,f682]) ).
tff(f9036,plain,
( ~ spl3_272
| spl3_212
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f9031,f8612,f8481,f9033]) ).
tff(f9033,plain,
( spl3_272
<=> ( sK0($sum(sK1,$uminus(div1(0,2)))) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_272])]) ).
tff(f8481,plain,
( spl3_212
<=> ( sK0($sum($sum(sK1,0),$uminus(div1(0,2)))) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_212])]) ).
tff(f9031,plain,
( ( sK0($sum(sK1,$uminus(div1(0,2)))) != $sum(sK0(sK1),-1) )
| spl3_212
| ~ spl3_220 ),
inference(forward_demodulation,[],[f8483,f8614]) ).
tff(f8483,plain,
( ( sK0($sum($sum(sK1,0),$uminus(div1(0,2)))) != $sum(sK0(sK1),-1) )
| spl3_212 ),
inference(avatar_component_clause,[],[f8481]) ).
tff(f9030,plain,
( spl3_221
| ~ spl3_211
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f9029,f8612,f8477,f8633]) ).
tff(f8477,plain,
( spl3_211
<=> is_power_of_21($sum($sum(sK1,0),$uminus(div1(0,2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_211])]) ).
tff(f9029,plain,
( is_power_of_21($sum(sK1,$uminus(div1(0,2))))
| ~ spl3_211
| ~ spl3_220 ),
inference(forward_demodulation,[],[f8478,f8614]) ).
tff(f8478,plain,
( is_power_of_21($sum($sum(sK1,0),$uminus(div1(0,2))))
| ~ spl3_211 ),
inference(avatar_component_clause,[],[f8477]) ).
tff(f9028,plain,
( ~ spl3_1
| ~ spl3_220
| spl3_221 ),
inference(avatar_contradiction_clause,[],[f9027]) ).
tff(f9027,plain,
( $false
| ~ spl3_1
| ~ spl3_220
| spl3_221 ),
inference(subsumption_resolution,[],[f9026,f371]) ).
tff(f9026,plain,
( ~ is_power_of_21(sK1)
| ~ spl3_220
| spl3_221 ),
inference(forward_demodulation,[],[f9007,f8614]) ).
tff(f9007,plain,
( ~ is_power_of_21($sum(sK1,0))
| spl3_221 ),
inference(evaluation,[],[f9002]) ).
tff(f9002,plain,
( $less(0,$sum(0,$uminus(0)))
| $less(0,$sum($sum(0,1),$uminus(2)))
| ~ is_power_of_21($sum(sK1,$uminus(0)))
| spl3_221 ),
inference(superposition,[],[f8635,f350]) ).
tff(f8635,plain,
( ~ is_power_of_21($sum(sK1,$uminus(div1(0,2))))
| spl3_221 ),
inference(avatar_component_clause,[],[f8633]) ).
tff(f9025,plain,
( ~ spl3_271
| ~ spl3_1
| spl3_221 ),
inference(avatar_split_clause,[],[f8988,f8633,f369,f9022]) ).
tff(f8988,plain,
( ( $sum(sK1,$uminus(div1(0,2))) != sK1 )
| ~ spl3_1
| spl3_221 ),
inference(constrained_resolution,[],[f8635,f371]) ).
tff(f9020,plain,
( ~ spl3_270
| ~ spl3_1
| ~ spl3_220
| spl3_221 ),
inference(avatar_split_clause,[],[f9015,f8633,f8612,f369,f9017]) ).
tff(f9015,plain,
( ( 0 != $uminus(div1(0,2)) )
| ~ spl3_1
| ~ spl3_220
| spl3_221 ),
inference(subsumption_resolution,[],[f9005,f371]) ).
tff(f9005,plain,
( ( 0 != $uminus(div1(0,2)) )
| ~ is_power_of_21(sK1)
| ~ spl3_220
| spl3_221 ),
inference(constrained_superposition,[],[f8635,f8614]) ).
tff(f9014,plain,
( ~ spl3_269
| spl3_214
| ~ spl3_3
| spl3_221 ),
inference(avatar_split_clause,[],[f9003,f8633,f379,f8491,f9011]) ).
tff(f9003,plain,
( ! [X0: $int,X1: $int] :
( $less(0,X0)
| ( sK1 != $product(X1,div1(X0,X1)) )
| ( mod1(X0,X1) != -1 )
| $less(0,$sum($sum(1,div1(0,2)),$uminus(X1)))
| ~ is_power_of_21($sum(sK1,abs1(div1(0,2)))) )
| ~ spl3_3
| spl3_221 ),
inference(superposition,[],[f8635,f682]) ).
tff(f8908,plain,
( ~ spl3_267
| ~ spl3_268
| ~ spl3_3
| spl3_52
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8899,f8612,f2410,f379,f8905,f8901]) ).
tff(f8901,plain,
( spl3_267
<=> ( sK1 = $product($sum(sK1,$uminus(div1(sK1,2))),div1(0,$sum(sK1,$uminus(div1(sK1,2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_267])]) ).
tff(f2410,plain,
( spl3_52
<=> ( sK1 = $sum(0,div1($sum(sK1,0),2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).
tff(f8899,plain,
( ( mod1(0,$sum(sK1,$uminus(div1(sK1,2)))) != -1 )
| ( sK1 != $product($sum(sK1,$uminus(div1(sK1,2))),div1(0,$sum(sK1,$uminus(div1(sK1,2))))) )
| ~ spl3_3
| spl3_52
| ~ spl3_220 ),
inference(gaussian_variable_elimination,[],[f8897]) ).
tff(f8897,plain,
( ! [X0: $int] :
( ( sK1 != $product(X0,div1(0,X0)) )
| ( -1 != mod1(0,X0) )
| ( sK1 != $sum(X0,div1(sK1,2)) ) )
| ~ spl3_3
| spl3_52
| ~ spl3_220 ),
inference(backward_subsumption_demodulation,[],[f2635,f8837]) ).
tff(f8837,plain,
( ! [X0: $int] :
( ( sK1 = $sum(sK1,X0) )
| ( -1 != mod1(0,X0) )
| ( sK1 != $product(X0,div1(0,X0)) ) )
| ~ spl3_3
| ~ spl3_220 ),
inference(superposition,[],[f8614,f574]) ).
tff(f2635,plain,
( ! [X0: $int] :
( ( sK1 != $sum(X0,div1($sum(sK1,X0),2)) )
| ( -1 != mod1(0,X0) )
| ( sK1 != $product(X0,div1(0,X0)) ) )
| ~ spl3_3
| spl3_52 ),
inference(superposition,[],[f2412,f574]) ).
tff(f2412,plain,
( ( sK1 != $sum(0,div1($sum(sK1,0),2)) )
| spl3_52 ),
inference(avatar_component_clause,[],[f2410]) ).
tff(f8889,plain,
( spl3_266
| spl3_56
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8885,f8612,f2443,f8887]) ).
tff(f8885,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(sK1)))
| ( power1(X0,sK1) = $product(power1(X0,sK1),1) ) )
| ~ spl3_220 ),
inference(forward_demodulation,[],[f8840,f298]) ).
tff(f298,plain,
! [X0: $int] : ( 1 = power1(X0,0) ),
inference(cnf_transformation,[],[f98]) ).
tff(f98,plain,
! [X0: $int] : ( 1 = power1(X0,0) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X1: $int] : ( 1 = power1(X1,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_0) ).
tff(f8840,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(sK1)))
| ( $product(power1(X0,sK1),power1(X0,0)) = power1(X0,sK1) ) )
| ~ spl3_220 ),
inference(evaluation,[],[f8839]) ).
tff(f8839,plain,
( ! [X0: $int] :
( ( $product(power1(X0,sK1),power1(X0,0)) = power1(X0,sK1) )
| $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(0,$uminus(0))) )
| ~ spl3_220 ),
inference(superposition,[],[f365,f8614]) ).
tff(f365,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( power1(X1,$sum(X2,X0)) = $product(power1(X1,X2),power1(X1,X0)) )
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(0,$uminus(X0))) ),
inference(evaluation,[],[f254]) ).
tff(f254,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( power1(X1,$sum(X2,X0)) = $product(power1(X1,X2),power1(X1,X0)) )
| $less(X2,0)
| $less(X0,0) ),
inference(cnf_transformation,[],[f209]) ).
tff(f209,plain,
! [X0: $int,X1: $int,X2: $int] :
( ( power1(X1,$sum(X2,X0)) = $product(power1(X1,X2),power1(X1,X0)) )
| $less(X0,0)
| $less(X2,0) ),
inference(rectify,[],[f204]) ).
tff(f204,plain,
! [X1: $int,X2: $int,X0: $int] :
( ( power1(X2,$sum(X0,X1)) = $product(power1(X2,X0),power1(X2,X1)) )
| $less(X1,0)
| $less(X0,0) ),
inference(flattening,[],[f203]) ).
tff(f203,plain,
! [X0: $int,X2: $int,X1: $int] :
( ( power1(X2,$sum(X0,X1)) = $product(power1(X2,X0),power1(X2,X1)) )
| $less(X1,0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f109]) ).
tff(f109,plain,
! [X0: $int,X2: $int,X1: $int] :
( ~ $less(X0,0)
=> ( ~ $less(X1,0)
=> ( power1(X2,$sum(X0,X1)) = $product(power1(X2,X0),power1(X2,X1)) ) ) ),
inference(rectify,[],[f74]) ).
tff(f74,plain,
! [X8: $int,X9: $int,X1: $int] :
( ~ $less(X8,0)
=> ( ~ $less(X9,0)
=> ( power1(X1,$sum(X8,X9)) = $product(power1(X1,X8),power1(X1,X9)) ) ) ),
inference(theory_normalization,[],[f30]) ).
tff(f30,axiom,
! [X8: $int,X9: $int,X1: $int] :
( $lesseq(0,X8)
=> ( $lesseq(0,X9)
=> ( power1(X1,$sum(X8,X9)) = $product(power1(X1,X8),power1(X1,X9)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_sum) ).
tff(f8824,plain,
( spl3_77
| spl3_265
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f4513,f386,f379,f8822,f3442]) ).
tff(f3442,plain,
( spl3_77
<=> $less(0,$sum($sum(sK1,-1),abs1(0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).
tff(f8822,plain,
( spl3_265
<=> ! [X0: $int,X1: $int,X3: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| ( $sum($product(mod1(X1,X0),div1(X3,mod1(X1,X0))),mod1(X3,mod1(X1,X0))) = X3 )
| $less(0,X1)
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_265])]) ).
tff(f386,plain,
( spl3_4
<=> $less(0,$sum(1,sK0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
tff(f4513,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,X1)
| ( $sum($product(mod1(X1,X0),div1(X3,mod1(X1,X0))),mod1(X3,mod1(X1,X0))) = X3 )
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_demodulation,[],[f4458,f271]) ).
tff(f4458,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( ( $sum($product(mod1(X1,X0),div1(X3,mod1(X1,X0))),mod1(X3,mod1(X1,X0))) = X3 )
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0)))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(constrained_superposition,[],[f774,f417]) ).
tff(f417,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| ( $sum($product(X0,div1(X1,X0)),mod1(X1,X0)) = X1 ) )
| ~ spl3_4 ),
inference(evaluation,[],[f408]) ).
tff(f408,plain,
( ! [X0: $int,X1: $int] :
( $less(X0,$sum(1,sK0(sK1)))
| ( $sum($product(X0,div1(X1,X0)),mod1(X1,X0)) = X1 ) )
| ~ spl3_4 ),
inference(superposition,[],[f388,f271]) ).
tff(f388,plain,
( $less(0,$sum(1,sK0(sK1)))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f386]) ).
tff(f774,plain,
( ! [X0: $int,X1: $int] :
( ( $sum($product(X0,div1(X1,X0)),mod1(X1,X0)) = X1 )
| $less(0,$sum(1,X0))
| $less(0,$sum($sum(sK1,-1),abs1(X0))) )
| ~ spl3_3 ),
inference(superposition,[],[f403,f333]) ).
tff(f403,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| ( $sum($product(X0,div1(X1,X0)),mod1(X1,X0)) = X1 ) )
| ~ spl3_3 ),
inference(evaluation,[],[f395]) ).
tff(f395,plain,
( ! [X0: $int,X1: $int] :
( ( $sum($product(X0,div1(X1,X0)),mod1(X1,X0)) = X1 )
| $less(X0,$sum(sK1,-1)) )
| ~ spl3_3 ),
inference(superposition,[],[f381,f271]) ).
tff(f8820,plain,
( spl3_264
| spl3_77
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4508,f379,f3442,f8818]) ).
tff(f8818,plain,
( spl3_264
<=> ! [X10: $int,X9: $int,X7: $int,X6: map_int_int] :
( $less(0,$sum($sum(X7,1),$uminus(X9)))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,sum2(X6,X7,X9))
| ( $sum($product(tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))),div1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))),mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))) = X10 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_264])]) ).
tff(f4508,plain,
( ! [X10: $int,X6: map_int_int,X9: $int,X7: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum($sum(X7,1),$uminus(X9)))
| ( $sum($product(tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))),div1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))),mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))) = X10 )
| $less(0,sum2(X6,X7,X9))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4461,f271]) ).
tff(f4461,plain,
( ! [X10: $int,X6: map_int_int,X9: $int,X7: $int] :
( $less(0,sum2(X6,X7,X9))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum($sum(sK1,-1),abs1(tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))
| $less(0,$sum($sum(X7,1),$uminus(X9)))
| ( $sum($product(tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))),div1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))),mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))) = X10 ) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f774,f357]) ).
tff(f357,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( ( $sum(sum2(X0,X2,$sum(X1,-1)),tb2t(get(int,int,t2tb1(X0),t2tb($sum(X1,-1))))) = sum2(X0,X2,X1) )
| $less(0,$sum($sum(X2,1),$uminus(X1))) ),
inference(evaluation,[],[f295]) ).
tff(f295,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( ( $sum(sum2(X0,X2,$sum(X1,$uminus(1))),tb2t(get(int,int,t2tb1(X0),t2tb($sum(X1,$uminus(1)))))) = sum2(X0,X2,X1) )
| ~ $less(X2,X1) ),
inference(cnf_transformation,[],[f226]) ).
tff(f226,plain,
! [X0: map_int_int,X1: $int,X2: $int] :
( ~ $less(X2,X1)
| ( $sum(sum2(X0,X2,$sum(X1,$uminus(1))),tb2t(get(int,int,t2tb1(X0),t2tb($sum(X1,$uminus(1)))))) = sum2(X0,X2,X1) ) ),
inference(rectify,[],[f163]) ).
tff(f163,plain,
! [X2: map_int_int,X1: $int,X0: $int] :
( ~ $less(X0,X1)
| ( sum2(X2,X0,X1) = $sum(sum2(X2,X0,$sum(X1,$uminus(1))),tb2t(get(int,int,t2tb1(X2),t2tb($sum(X1,$uminus(1)))))) ) ),
inference(ennf_transformation,[],[f137]) ).
tff(f137,plain,
! [X0: $int,X1: $int,X2: map_int_int] :
( $less(X0,X1)
=> ( sum2(X2,X0,X1) = $sum(sum2(X2,X0,$sum(X1,$uminus(1))),tb2t(get(int,int,t2tb1(X2),t2tb($sum(X1,$uminus(1)))))) ) ),
inference(rectify,[],[f85]) ).
tff(f85,plain,
! [X15: $int,X16: $int,X18: map_int_int] :
( $less(X15,X16)
=> ( sum2(X18,X15,X16) = $sum(sum2(X18,X15,$sum(X16,$uminus(1))),tb2t(get(int,int,t2tb1(X18),t2tb($sum(X16,$uminus(1)))))) ) ),
inference(theory_normalization,[],[f58]) ).
tff(f58,axiom,
! [X15: $int,X16: $int,X18: map_int_int] :
( $less(X15,X16)
=> ( sum2(X18,X15,X16) = $sum(sum2(X18,X15,$difference(X16,1)),tb2t(get(int,int,t2tb1(X18),t2tb($difference(X16,1))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_right_extension) ).
tff(f8816,plain,
( spl3_77
| spl3_263
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f5291,f379,f8814,f3442]) ).
tff(f8814,plain,
( spl3_263
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(abs1(X2),1),$uminus(abs1($product(div1(X2,mod1(X1,X0)),mod1(X1,X0))))))
| $less(0,$sum(1,X0))
| $less(0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_263])]) ).
tff(f5291,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,X1)
| $less(0,$sum(1,X0))
| $less(0,$sum($sum(abs1(X2),1),$uminus(abs1($product(div1(X2,mod1(X1,X0)),mod1(X1,X0))))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f5251,f334]) ).
tff(f334,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum($sum(abs1(X1),1),$uminus(abs1($product(div1(X1,X0),X0)))))
| ( 0 = X0 ) ),
inference(evaluation,[],[f287]) ).
tff(f287,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X1),abs1($product(div1(X1,X0),X0)))
| ( 0 = X0 ) ),
inference(cnf_transformation,[],[f223]) ).
tff(f223,plain,
! [X0: $int,X1: $int] :
( ~ $less(abs1(X1),abs1($product(div1(X1,X0),X0)))
| ( 0 = X0 ) ),
inference(rectify,[],[f168]) ).
tff(f168,plain,
! [X1: $int,X0: $int] :
( ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1)))
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f141]) ).
tff(f141,plain,
! [X1: $int,X0: $int] :
( ( 0 != X1 )
=> ~ $less(abs1(X0),abs1($product(div1(X0,X1),X1))) ),
inference(rectify,[],[f87]) ).
tff(f87,plain,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> ~ $less(abs1(X1),abs1($product(div1(X1,X7),X7))) ),
inference(theory_normalization,[],[f19]) ).
tff(f19,axiom,
! [X1: $int,X7: $int] :
( ( 0 != X7 )
=> $lesseq(abs1($product(div1(X1,X7),X7)),abs1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rounds_toward_zero) ).
tff(f5251,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(abs1(X2),1),$uminus(abs1($product(div1(X2,mod1(X1,X0)),mod1(X1,X0))))))
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,X1)
| $less(0,$sum(1,X0)) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f1000,f774]) ).
tff(f1000,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(1,X0))
| $less(0,$sum($sum(abs1(X1),1),$uminus(abs1($product(div1(X1,X0),X0)))))
| $less(0,$sum($sum(sK1,-1),abs1(X0))) )
| ~ spl3_3 ),
inference(superposition,[],[f407,f333]) ).
tff(f407,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,$sum($sum(abs1(X1),1),$uminus(abs1($product(div1(X1,X0),X0))))) )
| ~ spl3_3 ),
inference(evaluation,[],[f400]) ).
tff(f400,plain,
( ! [X0: $int,X1: $int] :
( $less(X0,$sum(sK1,-1))
| $less(0,$sum($sum(abs1(X1),1),$uminus(abs1($product(div1(X1,X0),X0))))) )
| ~ spl3_3 ),
inference(superposition,[],[f381,f334]) ).
tff(f8812,plain,
( spl3_224
| spl3_262
| ~ spl3_3
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8808,f8612,f379,f8810,f8648]) ).
tff(f8648,plain,
( spl3_224
<=> $less(0,$sum(sK1,abs1(0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_224])]) ).
tff(f8810,plain,
( spl3_262
<=> ! [X1: $int] : ( $sum($product(-1,div1(X1,-1)),mod1(X1,-1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_262])]) ).
tff(f8808,plain,
( ! [X1: $int] :
( ( $sum($product(-1,div1(X1,-1)),mod1(X1,-1)) = X1 )
| $less(0,$sum(sK1,abs1(0))) )
| ~ spl3_3
| ~ spl3_220 ),
inference(forward_demodulation,[],[f4522,f8614]) ).
tff(f4522,plain,
( ! [X1: $int] :
( ( $sum($product(-1,div1(X1,-1)),mod1(X1,-1)) = X1 )
| $less(0,$sum($sum(sK1,0),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4448,f271]) ).
tff(f4448,plain,
( ! [X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(-1)))
| ( $sum($product(-1,div1(X1,-1)),mod1(X1,-1)) = X1 ) )
| ~ spl3_3 ),
inference(interpreted_simplification,[],[f4447]) ).
tff(f4447,plain,
( ! [X1: $int] :
( $less(0,$sum(1,-1))
| ( $sum($product(-1,div1(X1,-1)),mod1(X1,-1)) = X1 )
| $less(0,$sum($sum(sK1,-1),abs1(-1))) )
| ~ spl3_3 ),
inference(instantiation,[],[f774]) ).
tff(f8807,plain,
( spl3_77
| spl3_261
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4043,f379,f8805,f3442]) ).
tff(f8805,plain,
( spl3_261
<=> ! [X4: $int,X0: $int,X1: $int] :
( ( 0 = X0 )
| $less(0,X1)
| $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X4,mod1(X1,X0)))))
| ( 1 != $product(X0,div1(X1,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_261])]) ).
tff(f4043,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( ( 0 = X0 )
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X4,mod1(X1,X0)))))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4013,f345]) ).
tff(f4013,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( ( 0 = X0 )
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X4,mod1(X1,X0))))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f545,f271]) ).
tff(f545,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,$sum(1,X0))
| $less(0,$sum(abs1(X0),$uminus(mod1(X1,X0)))) )
| ~ spl3_3 ),
inference(superposition,[],[f404,f333]) ).
tff(f404,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(abs1(X0),$uminus(mod1(X1,X0))))
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f396]) ).
tff(f396,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(abs1(X0),$uminus(mod1(X1,X0))))
| $less(X0,$sum(sK1,-1)) )
| ~ spl3_3 ),
inference(superposition,[],[f381,f345]) ).
tff(f8803,plain,
( spl3_77
| spl3_260
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4621,f379,f8801,f3442]) ).
tff(f8801,plain,
( spl3_260
<=> ! [X4: $int,X0: $int,X1: $int] :
( $less(0,X4)
| $less(0,$sum(1,$uminus(mod1(X4,mod1(X1,X0)))))
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_260])]) ).
tff(f4621,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( $less(0,X4)
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum(1,$uminus(mod1(X4,mod1(X1,X0))))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4537,f337]) ).
tff(f337,plain,
! [X0: $int,X1: $int] :
( $less(0,X0)
| ( 0 = X1 )
| $less(0,$sum(1,$uminus(mod1(X0,X1)))) ),
inference(evaluation,[],[f272]) ).
tff(f272,plain,
! [X0: $int,X1: $int] :
( $less(0,X0)
| ( 0 = X1 )
| ~ $less(0,mod1(X0,X1)) ),
inference(cnf_transformation,[],[f207]) ).
tff(f207,plain,
! [X0: $int,X1: $int] :
( ~ $less(0,mod1(X0,X1))
| ( 0 = X1 )
| $less(0,X0) ),
inference(flattening,[],[f206]) ).
tff(f206,plain,
! [X1: $int,X0: $int] :
( ~ $less(0,mod1(X0,X1))
| $less(0,X0)
| ( 0 = X1 ) ),
inference(ennf_transformation,[],[f138]) ).
tff(f138,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(0,X0)
& ( 0 != X1 ) )
=> ~ $less(0,mod1(X0,X1)) ),
inference(rectify,[],[f86]) ).
tff(f86,plain,
! [X1: $int,X7: $int] :
( ( ~ $less(0,X1)
& ( 0 != X7 ) )
=> ~ $less(0,mod1(X1,X7)) ),
inference(theory_normalization,[],[f18]) ).
tff(f18,axiom,
! [X1: $int,X7: $int] :
( ( $lesseq(X1,0)
& ( 0 != X7 ) )
=> $lesseq(mod1(X1,X7),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_neg) ).
tff(f4537,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,$sum(1,$uminus(mod1(X4,mod1(X1,X0)))))
| $less(0,X4)
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,X1) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f846,f403]) ).
tff(f846,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,X1)
| $less(0,$sum(1,$uminus(mod1(X1,X0))))
| $less(0,$sum(1,X0)) )
| ~ spl3_3 ),
inference(superposition,[],[f405,f333]) ).
tff(f405,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(1,$uminus(mod1(X1,X0))))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f399]) ).
tff(f399,plain,
( ! [X0: $int,X1: $int] :
( $less(X0,$sum(sK1,-1))
| $less(0,X1)
| $less(0,$sum(1,$uminus(mod1(X1,X0)))) )
| ~ spl3_3 ),
inference(superposition,[],[f381,f337]) ).
tff(f8799,plain,
( spl3_77
| spl3_259
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f5285,f379,f8797,f3442]) ).
tff(f8797,plain,
( spl3_259
<=> ! [X11: $int,X13: $int,X12: $int,X6: map_int_int,X7: $int] :
( ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum(X7,$uminus(X11)))
| $less(0,$sum($sum(abs1(X13),1),$uminus(abs1($product(div1(X13,sum2(X6,X11,X12)),sum2(X6,X11,X12))))))
| $less(0,sum2(X6,X7,X12))
| $less(0,$sum(X11,$uminus(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_259])]) ).
tff(f5285,plain,
( ! [X11: $int,X6: map_int_int,X7: $int,X12: $int,X13: $int] :
( ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum(X11,$uminus(X12)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,sum2(X6,X7,X12))
| $less(0,$sum($sum(abs1(X13),1),$uminus(abs1($product(div1(X13,sum2(X6,X11,X12)),sum2(X6,X11,X12))))))
| $less(0,$sum(X7,$uminus(X11))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f5256,f334]) ).
tff(f5256,plain,
( ! [X11: $int,X6: map_int_int,X7: $int,X12: $int,X13: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(sum2(X6,X11,X12))))
| $less(0,$sum($sum(abs1(X13),1),$uminus(abs1($product(div1(X13,sum2(X6,X11,X12)),sum2(X6,X11,X12))))))
| $less(0,$sum(X11,$uminus(X12)))
| ( 1 != sum2(X6,X7,X11) )
| $less(0,sum2(X6,X7,X12))
| $less(0,$sum(X7,$uminus(X11))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f1000,f366]) ).
tff(f366,plain,
! [X2: $int,X3: $int,X0: map_int_int,X1: $int] :
( $less(0,$sum(X1,$uminus(X2)))
| $less(0,$sum(X2,$uminus(X3)))
| ( $sum(sum2(X0,X1,X2),sum2(X0,X2,X3)) = sum2(X0,X1,X3) ) ),
inference(evaluation,[],[f318]) ).
tff(f318,plain,
! [X2: $int,X3: $int,X0: map_int_int,X1: $int] :
( $less(X2,X1)
| $less(X3,X2)
| ( $sum(sum2(X0,X1,X2),sum2(X0,X2,X3)) = sum2(X0,X1,X3) ) ),
inference(cnf_transformation,[],[f243]) ).
tff(f243,plain,
! [X0: map_int_int,X1: $int,X2: $int,X3: $int] :
( $less(X3,X2)
| ( $sum(sum2(X0,X1,X2),sum2(X0,X2,X3)) = sum2(X0,X1,X3) )
| $less(X2,X1) ),
inference(rectify,[],[f165]) ).
tff(f165,plain,
! [X3: map_int_int,X1: $int,X0: $int,X2: $int] :
( $less(X2,X0)
| ( sum2(X3,X1,X2) = $sum(sum2(X3,X1,X0),sum2(X3,X0,X2)) )
| $less(X0,X1) ),
inference(flattening,[],[f164]) ).
tff(f164,plain,
! [X0: $int,X3: map_int_int,X1: $int,X2: $int] :
( ( sum2(X3,X1,X2) = $sum(sum2(X3,X1,X0),sum2(X3,X0,X2)) )
| $less(X0,X1)
| $less(X2,X0) ),
inference(ennf_transformation,[],[f145]) ).
tff(f145,plain,
! [X0: $int,X3: map_int_int,X1: $int,X2: $int] :
( ( ~ $less(X0,X1)
& ~ $less(X2,X0) )
=> ( sum2(X3,X1,X2) = $sum(sum2(X3,X1,X0),sum2(X3,X0,X2)) ) ),
inference(rectify,[],[f89]) ).
tff(f89,plain,
! [X19: $int,X15: $int,X16: $int,X18: map_int_int] :
( ( ~ $less(X16,X19)
& ~ $less(X19,X15) )
=> ( sum2(X18,X15,X16) = $sum(sum2(X18,X15,X19),sum2(X18,X19,X16)) ) ),
inference(theory_normalization,[],[f59]) ).
tff(f59,axiom,
! [X19: $int,X15: $int,X16: $int,X18: map_int_int] :
( ( $lesseq(X19,X16)
& $lesseq(X15,X19) )
=> ( sum2(X18,X15,X16) = $sum(sum2(X18,X15,X19),sum2(X18,X19,X16)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_transitivity) ).
tff(f8795,plain,
( spl3_77
| spl3_258
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4516,f379,f8793,f3442]) ).
tff(f8793,plain,
( spl3_258
<=> ! [X6: map_int_int,X11: $int,X13: $int,X12: $int,X7: $int] :
( ( $sum($product(sum2(X6,X11,X12),div1(X13,sum2(X6,X11,X12))),mod1(X13,sum2(X6,X11,X12))) = X13 )
| ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum(X11,$uminus(X12)))
| $less(0,$sum(X7,$uminus(X11)))
| $less(0,sum2(X6,X7,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_258])]) ).
tff(f4516,plain,
( ! [X11: $int,X6: map_int_int,X7: $int,X12: $int,X13: $int] :
( ( $sum($product(sum2(X6,X11,X12),div1(X13,sum2(X6,X11,X12))),mod1(X13,sum2(X6,X11,X12))) = X13 )
| $less(0,sum2(X6,X7,X12))
| $less(0,$sum(X7,$uminus(X11)))
| $less(0,$sum(X11,$uminus(X12)))
| ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4462,f271]) ).
tff(f4462,plain,
( ! [X11: $int,X6: map_int_int,X7: $int,X12: $int,X13: $int] :
( $less(0,sum2(X6,X7,X12))
| ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum($sum(sK1,-1),abs1(sum2(X6,X11,X12))))
| $less(0,$sum(X11,$uminus(X12)))
| ( $sum($product(sum2(X6,X11,X12),div1(X13,sum2(X6,X11,X12))),mod1(X13,sum2(X6,X11,X12))) = X13 )
| $less(0,$sum(X7,$uminus(X11))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f774,f366]) ).
tff(f8791,plain,
( spl3_77
| spl3_257
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4932,f379,f8789,f3442]) ).
tff(f8789,plain,
( spl3_257
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(1,mod1(X2,mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,$sum(1,X0))
| $less(0,$sum(0,$uminus(X2)))
| $less(0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_257])]) ).
tff(f4932,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(1,mod1(X2,mod1(X1,X0))))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,X1)
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(1,X0))
| $less(0,$sum($sum(sK1,-1),abs1(X0)))
| ( 1 != $product(X0,div1(X1,X0)) ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4860,f342]) ).
tff(f342,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| $less(0,$sum(1,mod1(X1,X0)))
| $less(0,$sum(0,$uminus(X1))) ),
inference(evaluation,[],[f289]) ).
tff(f289,plain,
! [X0: $int,X1: $int] :
( ( 0 = X0 )
| ~ $less(mod1(X1,X0),0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f224]) ).
tff(f224,plain,
! [X0: $int,X1: $int] :
( $less(X1,0)
| ~ $less(mod1(X1,X0),0)
| ( 0 = X0 ) ),
inference(rectify,[],[f177]) ).
tff(f177,plain,
! [X1: $int,X0: $int] :
( $less(X0,0)
| ~ $less(mod1(X0,X1),0)
| ( 0 = X1 ) ),
inference(flattening,[],[f176]) ).
tff(f176,plain,
! [X1: $int,X0: $int] :
( ~ $less(mod1(X0,X1),0)
| ( 0 = X1 )
| $less(X0,0) ),
inference(ennf_transformation,[],[f155]) ).
tff(f155,plain,
! [X1: $int,X0: $int] :
( ( ( 0 != X1 )
& ~ $less(X0,0) )
=> ~ $less(mod1(X0,X1),0) ),
inference(rectify,[],[f92]) ).
tff(f92,plain,
! [X1: $int,X7: $int] :
( ( ~ $less(X1,0)
& ( 0 != X7 ) )
=> ~ $less(mod1(X1,X7),0) ),
inference(theory_normalization,[],[f17]) ).
tff(f17,axiom,
! [X1: $int,X7: $int] :
( ( $lesseq(0,X1)
& ( 0 != X7 ) )
=> $lesseq(0,mod1(X1,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_pos) ).
tff(f4860,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(1,X0))
| $less(0,$sum(1,mod1(X2,mod1(X1,X0))))
| $less(0,$sum(0,$uminus(X2)))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,$sum($sum(sK1,-1),abs1(X0))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f926,f774]) ).
tff(f926,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(1,mod1(X1,X0)))
| $less(0,$sum(1,X0))
| $less(0,$sum($sum(sK1,-1),abs1(X0))) )
| ~ spl3_3 ),
inference(superposition,[],[f402,f333]) ).
tff(f402,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(1,mod1(X1,X0)))
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f397]) ).
tff(f397,plain,
( ! [X0: $int,X1: $int] :
( $less(X0,$sum(sK1,-1))
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(1,mod1(X1,X0))) )
| ~ spl3_3 ),
inference(superposition,[],[f381,f342]) ).
tff(f8787,plain,
( spl3_256
| spl3_77
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f5292,f379,f3442,f8785]) ).
tff(f8785,plain,
( spl3_256
<=> ! [X10: $int,X9: $int,X7: $int,X6: map_int_int] :
( $less(0,$sum($sum(X7,1),$uminus(X9)))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum($sum(abs1(X10),1),$uminus(abs1($product(div1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1))))),tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))))
| $less(0,sum2(X6,X7,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_256])]) ).
tff(f5292,plain,
( ! [X10: $int,X6: map_int_int,X9: $int,X7: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum($sum(X7,1),$uminus(X9)))
| $less(0,sum2(X6,X7,X9))
| $less(0,$sum($sum(abs1(X10),1),$uminus(abs1($product(div1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1))))),tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f5255,f334]) ).
tff(f5255,plain,
( ! [X10: $int,X6: map_int_int,X9: $int,X7: $int] :
( $less(0,sum2(X6,X7,X9))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum($sum(X7,1),$uminus(X9)))
| $less(0,$sum($sum(abs1(X10),1),$uminus(abs1($product(div1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1))))),tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))))
| $less(0,$sum($sum(sK1,-1),abs1(tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1))))))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f1000,f357]) ).
tff(f8783,plain,
( spl3_255
| spl3_224
| ~ spl3_3
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8779,f8612,f379,f8648,f8781]) ).
tff(f8781,plain,
( spl3_255
<=> ! [X1: $int] : $less(0,$sum(abs1(-1),$uminus(mod1(X1,-1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_255])]) ).
tff(f8779,plain,
( ! [X1: $int] :
( $less(0,$sum(sK1,abs1(0)))
| $less(0,$sum(abs1(-1),$uminus(mod1(X1,-1)))) )
| ~ spl3_3
| ~ spl3_220 ),
inference(forward_demodulation,[],[f4045,f8614]) ).
tff(f4045,plain,
( ! [X1: $int] :
( $less(0,$sum(abs1(-1),$uminus(mod1(X1,-1))))
| $less(0,$sum($sum(sK1,0),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f3973,f345]) ).
tff(f3973,plain,
( ! [X1: $int] :
( $less(0,$sum(abs1(-1),$uminus(mod1(X1,-1))))
| $less(0,$sum($sum(sK1,-1),abs1(-1))) )
| ~ spl3_3 ),
inference(interpreted_simplification,[],[f3972]) ).
tff(f3972,plain,
( ! [X1: $int] :
( $less(0,$sum(abs1(-1),$uminus(mod1(X1,-1))))
| $less(0,$sum($sum(sK1,-1),abs1(-1)))
| $less(0,$sum(1,-1)) )
| ~ spl3_3 ),
inference(instantiation,[],[f545]) ).
tff(f8778,plain,
( spl3_77
| spl3_254
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f5282,f386,f379,f8776,f3442]) ).
tff(f8776,plain,
( spl3_254
<=> ! [X0: $int,X1: $int,X3: $int] :
( $less(0,X1)
| $less(0,$sum($sum(abs1(X3),1),$uminus(abs1($product(div1(X3,mod1(X1,X0)),mod1(X1,X0))))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_254])]) ).
tff(f5282,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(abs1(X3),1),$uminus(abs1($product(div1(X3,mod1(X1,X0)),mod1(X1,X0)))))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_demodulation,[],[f5252,f334]) ).
tff(f5252,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,$sum($sum(abs1(X3),1),$uminus(abs1($product(div1(X3,mod1(X1,X0)),mod1(X1,X0)))))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(constrained_superposition,[],[f1000,f417]) ).
tff(f8774,plain,
( spl3_77
| spl3_253
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4620,f379,f8772,f3442]) ).
tff(f8772,plain,
( spl3_253
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,$sum(1,X0))
| $less(0,$sum(1,$uminus(mod1(X2,mod1(X1,X0)))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_253])]) ).
tff(f4620,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,X2)
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(1,$uminus(mod1(X2,mod1(X1,X0)))))
| $less(0,$sum(1,X0)) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4535,f337]) ).
tff(f4535,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,$sum(1,$uminus(mod1(X2,mod1(X1,X0)))))
| $less(0,X2)
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,$sum(1,X0)) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f846,f774]) ).
tff(f8770,plain,
( spl3_252
| spl3_77
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f4046,f386,f379,f3442,f8768]) ).
tff(f8768,plain,
( spl3_252
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X2,mod1(X1,X0)))))
| $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_252])]) ).
tff(f4046,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X2,mod1(X1,X0))))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_demodulation,[],[f4011,f345]) ).
tff(f4011,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X2,mod1(X1,X0)))))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0)))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(constrained_superposition,[],[f545,f417]) ).
tff(f8766,plain,
( spl3_77
| spl3_251
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4925,f379,f8764,f3442]) ).
tff(f8764,plain,
( spl3_251
<=> ! [X10: $int,X9: $int,X7: $int,X6: map_int_int] :
( $less(0,sum2(X6,X7,X9))
| $less(0,$sum(1,mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))
| $less(0,$sum(0,$uminus(X10)))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum($sum(X7,1),$uminus(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_251])]) ).
tff(f4925,plain,
( ! [X10: $int,X6: map_int_int,X9: $int,X7: $int] :
( $less(0,sum2(X6,X7,X9))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum($sum(X7,1),$uminus(X9)))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum(0,$uminus(X10)))
| $less(0,$sum(1,mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1))))))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4864,f342]) ).
tff(f4864,plain,
( ! [X10: $int,X6: map_int_int,X9: $int,X7: $int] :
( $less(0,$sum(1,mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))
| $less(0,$sum($sum(sK1,-1),abs1(tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))
| $less(0,$sum($sum(X7,1),$uminus(X9)))
| ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum(0,$uminus(X10)))
| $less(0,sum2(X6,X7,X9)) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f926,f357]) ).
tff(f8762,plain,
( spl3_77
| spl3_250
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4622,f379,f8760,f3442]) ).
tff(f8760,plain,
( spl3_250
<=> ! [X10: $int,X9: $int,X7: $int,X6: map_int_int] :
( ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum(1,$uminus(mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1))))))))
| $less(0,$sum($sum(X7,1),$uminus(X9)))
| $less(0,sum2(X6,X7,X9))
| $less(0,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_250])]) ).
tff(f4622,plain,
( ! [X10: $int,X6: map_int_int,X9: $int,X7: $int] :
( ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,X10)
| $less(0,sum2(X6,X7,X9))
| $less(0,$sum($sum(X7,1),$uminus(X9)))
| $less(0,$sum(1,$uminus(mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4539,f337]) ).
tff(f4539,plain,
( ! [X10: $int,X6: map_int_int,X9: $int,X7: $int] :
( $less(0,$sum(1,$uminus(mod1(X10,tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1))))))))
| $less(0,$sum($sum(sK1,-1),abs1(tb2t(get(int,int,t2tb1(X6),t2tb($sum(X9,-1)))))))
| $less(0,sum2(X6,X7,X9))
| $less(0,X10)
| ( 1 != sum2(X6,X7,$sum(X9,-1)) )
| $less(0,$sum($sum(X7,1),$uminus(X9))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f846,f357]) ).
tff(f8758,plain,
( spl3_249
| spl3_77
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4044,f379,f3442,f8756]) ).
tff(f8756,plain,
( spl3_249
<=> ! [X5: map_int_int,X6: $int,X10: $int,X11: $int,X12: $int] :
( $less(0,$sum(abs1(sum2(X5,X10,X11)),$uminus(mod1(X12,sum2(X5,X10,X11)))))
| $less(0,$sum(X10,$uminus(X11)))
| $less(0,$sum(X6,$uminus(X10)))
| ( 1 != sum2(X5,X6,X10) )
| $less(0,sum2(X5,X6,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_249])]) ).
tff(f4044,plain,
( ! [X10: $int,X11: $int,X6: $int,X5: map_int_int,X12: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum(abs1(sum2(X5,X10,X11)),$uminus(mod1(X12,sum2(X5,X10,X11)))))
| $less(0,sum2(X5,X6,X11))
| ( 1 != sum2(X5,X6,X10) )
| $less(0,$sum(X6,$uminus(X10)))
| $less(0,$sum(X10,$uminus(X11))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4015,f345]) ).
tff(f4015,plain,
( ! [X10: $int,X11: $int,X6: $int,X5: map_int_int,X12: $int] :
( $less(0,$sum(abs1(sum2(X5,X10,X11)),$uminus(mod1(X12,sum2(X5,X10,X11)))))
| $less(0,sum2(X5,X6,X11))
| $less(0,$sum($sum(sK1,-1),abs1(sum2(X5,X10,X11))))
| $less(0,$sum(X10,$uminus(X11)))
| ( 1 != sum2(X5,X6,X10) )
| $less(0,$sum(X6,$uminus(X10))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f545,f366]) ).
tff(f8754,plain,
( spl3_77
| spl3_248
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f5283,f379,f8752,f3442]) ).
tff(f8752,plain,
( spl3_248
<=> ! [X4: $int,X0: $int,X1: $int] :
( $less(0,X1)
| $less(0,$sum($sum(abs1(X4),1),$uminus(abs1($product(div1(X4,mod1(X1,X0)),mod1(X1,X0))))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_248])]) ).
tff(f5283,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( $less(0,X1)
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(abs1(X4),1),$uminus(abs1($product(div1(X4,mod1(X1,X0)),mod1(X1,X0)))))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f5253,f334]) ).
tff(f5253,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,X1)
| $less(0,$sum($sum(abs1(X4),1),$uminus(abs1($product(div1(X4,mod1(X1,X0)),mod1(X1,X0)))))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f1000,f403]) ).
tff(f8750,plain,
( spl3_247
| spl3_81
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8745,f8612,f3459,f8747]) ).
tff(f8747,plain,
( spl3_247
<=> $less(0,$sum(1,$uminus($sum(sK1,abs1(0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_247])]) ).
tff(f3459,plain,
( spl3_81
<=> $less(0,$sum($sum(sK1,0),abs1(0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).
tff(f8745,plain,
( $less(0,$sum(1,$uminus($sum(sK1,abs1(0)))))
| spl3_81
| ~ spl3_220 ),
inference(forward_demodulation,[],[f8672,f8614]) ).
tff(f8672,plain,
( $less(0,$sum(1,$uminus($sum($sum(sK1,0),abs1(0)))))
| spl3_81 ),
inference(evaluation,[],[f3460]) ).
tff(f3460,plain,
( ~ $less(0,$sum($sum(sK1,0),abs1(0)))
| spl3_81 ),
inference(avatar_component_clause,[],[f3459]) ).
tff(f8744,plain,
( spl3_77
| spl3_246
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4511,f379,f8742,f3442]) ).
tff(f8742,plain,
( spl3_246
<=> ! [X17: $int,X14: map_int_int,X16: $int,X15: $int] :
( $less(0,sum2(X14,X15,X16))
| $less(0,$sum($sum(X15,1),$uminus(X16)))
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| ( $sum($product(sum2(X14,$sum(X15,1),X16),div1(X17,sum2(X14,$sum(X15,1),X16))),mod1(X17,sum2(X14,$sum(X15,1),X16))) = X17 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_246])]) ).
tff(f4511,plain,
( ! [X16: $int,X14: map_int_int,X17: $int,X15: $int] :
( $less(0,sum2(X14,X15,X16))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| ( $sum($product(sum2(X14,$sum(X15,1),X16),div1(X17,sum2(X14,$sum(X15,1),X16))),mod1(X17,sum2(X14,$sum(X15,1),X16))) = X17 )
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| $less(0,$sum($sum(X15,1),$uminus(X16))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4463,f271]) ).
tff(f4463,plain,
( ! [X16: $int,X14: map_int_int,X17: $int,X15: $int] :
( $less(0,$sum($sum(X15,1),$uminus(X16)))
| ( $sum($product(sum2(X14,$sum(X15,1),X16),div1(X17,sum2(X14,$sum(X15,1),X16))),mod1(X17,sum2(X14,$sum(X15,1),X16))) = X17 )
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| $less(0,sum2(X14,X15,X16))
| $less(0,$sum($sum(sK1,-1),abs1(sum2(X14,$sum(X15,1),X16)))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f774,f335]) ).
tff(f335,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( $less(0,$sum($sum(X2,1),$uminus(X1)))
| ( $sum(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),sum2(X0,$sum(X2,1),X1)) = sum2(X0,X2,X1) ) ),
inference(evaluation,[],[f265]) ).
tff(f265,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( ~ $less(X2,X1)
| ( $sum(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),sum2(X0,$sum(X2,1),X1)) = sum2(X0,X2,X1) ) ),
inference(cnf_transformation,[],[f213]) ).
tff(f213,plain,
! [X0: map_int_int,X1: $int,X2: $int] :
( ( $sum(tb2t(get(int,int,t2tb1(X0),t2tb(X2))),sum2(X0,$sum(X2,1),X1)) = sum2(X0,X2,X1) )
| ~ $less(X2,X1) ),
inference(rectify,[],[f161]) ).
tff(f161,plain,
! [X1: map_int_int,X2: $int,X0: $int] :
( ( $sum(tb2t(get(int,int,t2tb1(X1),t2tb(X0))),sum2(X1,$sum(X0,1),X2)) = sum2(X1,X0,X2) )
| ~ $less(X0,X2) ),
inference(ennf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: $int,X1: map_int_int,X2: $int] :
( $less(X0,X2)
=> ( $sum(tb2t(get(int,int,t2tb1(X1),t2tb(X0))),sum2(X1,$sum(X0,1),X2)) = sum2(X1,X0,X2) ) ),
inference(rectify,[],[f57]) ).
tff(f57,axiom,
! [X15: $int,X18: map_int_int,X16: $int] :
( $less(X15,X16)
=> ( sum2(X18,X15,X16) = $sum(tb2t(get(int,int,t2tb1(X18),t2tb(X15))),sum2(X18,$sum(X15,1),X16)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_def_non_empty) ).
tff(f8740,plain,
( spl3_77
| spl3_245
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4923,f379,f8738,f3442]) ).
tff(f8738,plain,
( spl3_245
<=> ! [X17: $int,X14: map_int_int,X16: $int,X15: $int] :
( $less(0,$sum($sum(X15,1),$uminus(X16)))
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| $less(0,sum2(X14,X15,X16))
| $less(0,$sum(1,mod1(X17,sum2(X14,$sum(X15,1),X16))))
| $less(0,$sum(0,$uminus(X17))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_245])]) ).
tff(f4923,plain,
( ! [X16: $int,X14: map_int_int,X17: $int,X15: $int] :
( $less(0,$sum($sum(X15,1),$uminus(X16)))
| $less(0,$sum(0,$uminus(X17)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum(1,mod1(X17,sum2(X14,$sum(X15,1),X16))))
| $less(0,sum2(X14,X15,X16))
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4866,f342]) ).
tff(f4866,plain,
( ! [X16: $int,X14: map_int_int,X17: $int,X15: $int] :
( $less(0,$sum($sum(X15,1),$uminus(X16)))
| $less(0,sum2(X14,X15,X16))
| $less(0,$sum($sum(sK1,-1),abs1(sum2(X14,$sum(X15,1),X16))))
| $less(0,$sum(0,$uminus(X17)))
| $less(0,$sum(1,mod1(X17,sum2(X14,$sum(X15,1),X16))))
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) ) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f926,f335]) ).
tff(f8736,plain,
( spl3_77
| spl3_244
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f4616,f386,f379,f8734,f3442]) ).
tff(f8734,plain,
( spl3_244
<=> ! [X0: $int,X1: $int,X3: $int] :
( $less(0,X1)
| $less(0,X3)
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,$sum(1,$uminus(mod1(X3,mod1(X1,X0)))))
| ( 1 != $product(X0,div1(X1,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_244])]) ).
tff(f4616,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum(1,$uminus(mod1(X3,mod1(X1,X0)))))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,X3) )
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_demodulation,[],[f4536,f337]) ).
tff(f4536,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,X3)
| $less(0,$sum(1,$uminus(mod1(X3,mod1(X1,X0)))))
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(constrained_superposition,[],[f846,f417]) ).
tff(f8732,plain,
( spl3_77
| spl3_243
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4624,f379,f8730,f3442]) ).
tff(f8730,plain,
( spl3_243
<=> ! [X17: $int,X14: map_int_int,X16: $int,X15: $int] :
( $less(0,$sum($sum(X15,1),$uminus(X16)))
| $less(0,sum2(X14,X15,X16))
| $less(0,X17)
| $less(0,$sum(1,$uminus(mod1(X17,sum2(X14,$sum(X15,1),X16)))))
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_243])]) ).
tff(f4624,plain,
( ! [X16: $int,X14: map_int_int,X17: $int,X15: $int] :
( $less(0,$sum($sum(X15,1),$uminus(X16)))
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| $less(0,$sum(1,$uminus(mod1(X17,sum2(X14,$sum(X15,1),X16)))))
| $less(0,X17)
| $less(0,sum2(X14,X15,X16))
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4541,f337]) ).
tff(f4541,plain,
( ! [X16: $int,X14: map_int_int,X17: $int,X15: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(sum2(X14,$sum(X15,1),X16))))
| $less(0,$sum(1,$uminus(mod1(X17,sum2(X14,$sum(X15,1),X16)))))
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| $less(0,sum2(X14,X15,X16))
| $less(0,X17)
| $less(0,$sum($sum(X15,1),$uminus(X16))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f846,f335]) ).
tff(f8728,plain,
( spl3_77
| spl3_242
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4929,f379,f8726,f3442]) ).
tff(f8726,plain,
( spl3_242
<=> ! [X6: map_int_int,X11: $int,X13: $int,X12: $int,X7: $int] :
( $less(0,$sum(X11,$uminus(X12)))
| $less(0,sum2(X6,X7,X12))
| $less(0,$sum(1,mod1(X13,sum2(X6,X11,X12))))
| $less(0,$sum(X7,$uminus(X11)))
| ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum(0,$uminus(X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_242])]) ).
tff(f4929,plain,
( ! [X11: $int,X6: map_int_int,X7: $int,X12: $int,X13: $int] :
( $less(0,$sum(X11,$uminus(X12)))
| $less(0,$sum(0,$uminus(X13)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum(X7,$uminus(X11)))
| $less(0,$sum(1,mod1(X13,sum2(X6,X11,X12))))
| $less(0,sum2(X6,X7,X12)) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4865,f342]) ).
tff(f4865,plain,
( ! [X11: $int,X6: map_int_int,X7: $int,X12: $int,X13: $int] :
( $less(0,$sum(0,$uminus(X13)))
| ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum(1,mod1(X13,sum2(X6,X11,X12))))
| $less(0,$sum(X7,$uminus(X11)))
| $less(0,sum2(X6,X7,X12))
| $less(0,$sum(X11,$uminus(X12)))
| $less(0,$sum($sum(sK1,-1),abs1(sum2(X6,X11,X12)))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f926,f366]) ).
tff(f8724,plain,
( spl3_77
| spl3_241
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4617,f379,f8722,f3442]) ).
tff(f8722,plain,
( spl3_241
<=> ! [X6: map_int_int,X11: $int,X13: $int,X12: $int,X7: $int] :
( $less(0,$sum(X11,$uminus(X12)))
| $less(0,sum2(X6,X7,X12))
| $less(0,$sum(1,$uminus(mod1(X13,sum2(X6,X11,X12)))))
| $less(0,X13)
| ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum(X7,$uminus(X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_241])]) ).
tff(f4617,plain,
( ! [X11: $int,X6: map_int_int,X7: $int,X12: $int,X13: $int] :
( $less(0,$sum(X11,$uminus(X12)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum(X7,$uminus(X11)))
| ( 1 != sum2(X6,X7,X11) )
| $less(0,X13)
| $less(0,$sum(1,$uminus(mod1(X13,sum2(X6,X11,X12)))))
| $less(0,sum2(X6,X7,X12)) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4540,f337]) ).
tff(f4540,plain,
( ! [X11: $int,X6: map_int_int,X7: $int,X12: $int,X13: $int] :
( $less(0,$sum(X7,$uminus(X11)))
| $less(0,$sum($sum(sK1,-1),abs1(sum2(X6,X11,X12))))
| $less(0,$sum(X11,$uminus(X12)))
| ( 1 != sum2(X6,X7,X11) )
| $less(0,$sum(1,$uminus(mod1(X13,sum2(X6,X11,X12)))))
| $less(0,X13)
| $less(0,sum2(X6,X7,X12)) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f846,f366]) ).
tff(f8720,plain,
( spl3_77
| spl3_240
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f5288,f379,f8718,f3442]) ).
tff(f8718,plain,
( spl3_240
<=> ! [X17: $int,X14: map_int_int,X16: $int,X15: $int] :
( ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| $less(0,sum2(X14,X15,X16))
| $less(0,$sum($sum(X15,1),$uminus(X16)))
| $less(0,$sum($sum(abs1(X17),1),$uminus(abs1($product(div1(X17,sum2(X14,$sum(X15,1),X16)),sum2(X14,$sum(X15,1),X16)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_240])]) ).
tff(f5288,plain,
( ! [X16: $int,X14: map_int_int,X17: $int,X15: $int] :
( ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| $less(0,$sum($sum(abs1(X17),1),$uminus(abs1($product(div1(X17,sum2(X14,$sum(X15,1),X16)),sum2(X14,$sum(X15,1),X16))))))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,$sum($sum(X15,1),$uminus(X16)))
| $less(0,sum2(X14,X15,X16)) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f5257,f334]) ).
tff(f5257,plain,
( ! [X16: $int,X14: map_int_int,X17: $int,X15: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(sum2(X14,$sum(X15,1),X16))))
| $less(0,$sum($sum(X15,1),$uminus(X16)))
| $less(0,$sum($sum(abs1(X17),1),$uminus(abs1($product(div1(X17,sum2(X14,$sum(X15,1),X16)),sum2(X14,$sum(X15,1),X16))))))
| ( 1 != tb2t(get(int,int,t2tb1(X14),t2tb(X15))) )
| $less(0,sum2(X14,X15,X16)) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f1000,f335]) ).
tff(f8716,plain,
( spl3_77
| spl3_239
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4509,f379,f8714,f3442]) ).
tff(f8714,plain,
( spl3_239
<=> ! [X5: $int,X0: $int,X1: $int] :
( $less(0,X1)
| ( 0 = X0 )
| ( 1 != $product(X0,div1(X1,X0)) )
| ( $sum($product(mod1(X1,X0),div1(X5,mod1(X1,X0))),mod1(X5,mod1(X1,X0))) = X5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_239])]) ).
tff(f4509,plain,
( ! [X0: $int,X1: $int,X5: $int] :
( $less(0,X1)
| ( $sum($product(mod1(X1,X0),div1(X5,mod1(X1,X0))),mod1(X5,mod1(X1,X0))) = X5 )
| ( 1 != $product(X0,div1(X1,X0)) )
| ( 0 = X0 )
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4460,f271]) ).
tff(f4460,plain,
( ! [X0: $int,X1: $int,X5: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| ( 0 = X0 )
| ( $sum($product(mod1(X1,X0),div1(X5,mod1(X1,X0))),mod1(X5,mod1(X1,X0))) = X5 )
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0)))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f774,f271]) ).
tff(f8712,plain,
( spl3_77
| spl3_238
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4924,f379,f8710,f3442]) ).
tff(f8710,plain,
( spl3_238
<=> ! [X4: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,$sum(1,mod1(X4,mod1(X1,X0))))
| $less(0,$sum(0,$uminus(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_238])]) ).
tff(f4924,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,X1)
| $less(0,$sum(0,$uminus(X4)))
| $less(0,$sum(1,mod1(X4,mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4862,f342]) ).
tff(f4862,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(0,$uminus(X4)))
| $less(0,$sum(1,mod1(X4,mod1(X1,X0))))
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f926,f403]) ).
tff(f8708,plain,
( spl3_237
| spl3_77
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4931,f379,f3442,f8706]) ).
tff(f8706,plain,
( spl3_237
<=> ! [X5: $int,X0: $int,X1: $int] :
( $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(1,mod1(X5,mod1(X1,X0))))
| $less(0,$sum(0,$uminus(X5)))
| ( 0 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_237])]) ).
tff(f4931,plain,
( ! [X0: $int,X1: $int,X5: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,X1)
| ( 0 = X0 )
| $less(0,$sum(0,$uminus(X5)))
| $less(0,$sum(1,mod1(X5,mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4863,f342]) ).
tff(f4863,plain,
( ! [X0: $int,X1: $int,X5: $int] :
( ( 0 = X0 )
| $less(0,$sum(1,mod1(X5,mod1(X1,X0))))
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,$sum(0,$uminus(X5)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f926,f271]) ).
tff(f8704,plain,
( spl3_77
| spl3_236
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4521,f379,f8702,f3442]) ).
tff(f8702,plain,
( spl3_236
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(1,X0))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,X1)
| ( $sum($product(mod1(X1,X0),div1(X2,mod1(X1,X0))),mod1(X2,mod1(X1,X0))) = X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_236])]) ).
tff(f4521,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(1,X0))
| ( $sum($product(mod1(X1,X0),div1(X2,mod1(X1,X0))),mod1(X2,mod1(X1,X0))) = X2 )
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(X0)))
| ( 1 != $product(X0,div1(X1,X0)) ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4457,f271]) ).
tff(f4457,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,X1)
| ( $sum($product(mod1(X1,X0),div1(X2,mod1(X1,X0))),mod1(X2,mod1(X1,X0))) = X2 )
| $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,$sum(1,X0))
| ( 1 != $product(X0,div1(X1,X0)) ) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f774,f774]) ).
tff(f8700,plain,
( spl3_77
| spl3_235
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4049,f379,f8698,f3442]) ).
tff(f8698,plain,
( spl3_235
<=> ! [X13: map_int_int,X14: $int,X16: $int,X15: $int] :
( $less(0,sum2(X13,X14,X15))
| $less(0,$sum($sum(X14,1),$uminus(X15)))
| $less(0,$sum(abs1(sum2(X13,$sum(X14,1),X15)),$uminus(mod1(X16,sum2(X13,$sum(X14,1),X15)))))
| ( 1 != tb2t(get(int,int,t2tb1(X13),t2tb(X14))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_235])]) ).
tff(f4049,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: map_int_int] :
( $less(0,sum2(X13,X14,X15))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| ( 1 != tb2t(get(int,int,t2tb1(X13),t2tb(X14))) )
| $less(0,$sum(abs1(sum2(X13,$sum(X14,1),X15)),$uminus(mod1(X16,sum2(X13,$sum(X14,1),X15)))))
| $less(0,$sum($sum(X14,1),$uminus(X15))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4016,f345]) ).
tff(f4016,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: map_int_int] :
( ( 1 != tb2t(get(int,int,t2tb1(X13),t2tb(X14))) )
| $less(0,$sum($sum(sK1,-1),abs1(sum2(X13,$sum(X14,1),X15))))
| $less(0,$sum(abs1(sum2(X13,$sum(X14,1),X15)),$uminus(mod1(X16,sum2(X13,$sum(X14,1),X15)))))
| $less(0,$sum($sum(X14,1),$uminus(X15)))
| $less(0,sum2(X13,X14,X15)) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f545,f335]) ).
tff(f8696,plain,
( spl3_77
| spl3_234
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4618,f379,f8694,f3442]) ).
tff(f8694,plain,
( spl3_234
<=> ! [X5: $int,X1: $int,X0: $int] :
( $less(0,X5)
| $less(0,X1)
| ( 0 = X0 )
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(1,$uminus(mod1(X5,mod1(X1,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_234])]) ).
tff(f4618,plain,
( ! [X0: $int,X1: $int,X5: $int] :
( $less(0,X5)
| $less(0,$sum(1,$uminus(mod1(X5,mod1(X1,X0)))))
| ( 1 != $product(X0,div1(X1,X0)) )
| ( 0 = X0 )
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4538,f337]) ).
tff(f4538,plain,
( ! [X0: $int,X1: $int,X5: $int] :
( $less(0,X5)
| ( 0 = X0 )
| $less(0,$sum(1,$uminus(mod1(X5,mod1(X1,X0)))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0)))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f846,f271]) ).
tff(f8692,plain,
( spl3_77
| spl3_233
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4050,f379,f8690,f3442]) ).
tff(f8690,plain,
( spl3_233
<=> ! [X5: map_int_int,X9: $int,X6: $int,X8: $int] :
( ( 1 != sum2(X5,X6,$sum(X8,-1)) )
| $less(0,$sum(abs1(tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))),$uminus(mod1(X9,tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))))))
| $less(0,$sum($sum(X6,1),$uminus(X8)))
| $less(0,sum2(X5,X6,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_233])]) ).
tff(f4050,plain,
( ! [X8: $int,X6: $int,X9: $int,X5: map_int_int] :
( ( 1 != sum2(X5,X6,$sum(X8,-1)) )
| $less(0,sum2(X5,X6,X8))
| $less(0,$sum($sum(X6,1),$uminus(X8)))
| $less(0,$sum(abs1(tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))),$uminus(mod1(X9,tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))))))
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4014,f345]) ).
tff(f4014,plain,
( ! [X8: $int,X6: $int,X9: $int,X5: map_int_int] :
( ( 1 != sum2(X5,X6,$sum(X8,-1)) )
| $less(0,$sum($sum(sK1,-1),abs1(tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1)))))))
| $less(0,$sum($sum(X6,1),$uminus(X8)))
| $less(0,sum2(X5,X6,X8))
| $less(0,$sum(abs1(tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))),$uminus(mod1(X9,tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1)))))))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f545,f357]) ).
tff(f8688,plain,
( spl3_77
| spl3_232
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f5290,f379,f8686,f3442]) ).
tff(f8686,plain,
( spl3_232
<=> ! [X5: $int,X0: $int,X1: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| ( 0 = X0 )
| $less(0,X1)
| $less(0,$sum($sum(abs1(X5),1),$uminus(abs1($product(div1(X5,mod1(X1,X0)),mod1(X1,X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_232])]) ).
tff(f5290,plain,
( ! [X0: $int,X1: $int,X5: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(abs1(X5),1),$uminus(abs1($product(div1(X5,mod1(X1,X0)),mod1(X1,X0))))))
| $less(0,X1)
| ( 0 = X0 )
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f5254,f334]) ).
tff(f5254,plain,
( ! [X0: $int,X1: $int,X5: $int] :
( $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) )
| ( 0 = X0 )
| $less(0,$sum($sum(abs1(X5),1),$uminus(abs1($product(div1(X5,mod1(X1,X0)),mod1(X1,X0))))))
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0)))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f1000,f271]) ).
tff(f8684,plain,
( spl3_77
| spl3_231
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4515,f379,f8682,f3442]) ).
tff(f8682,plain,
( spl3_231
<=> ! [X4: $int,X0: $int,X1: $int] :
( ( $sum($product(mod1(X1,X0),div1(X4,mod1(X1,X0))),mod1(X4,mod1(X1,X0))) = X4 )
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| ( 1 != $product(X0,div1(X1,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_231])]) ).
tff(f4515,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( ( $sum($product(mod1(X1,X0),div1(X4,mod1(X1,X0))),mod1(X4,mod1(X1,X0))) = X4 )
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,X1) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4459,f271]) ).
tff(f4459,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| ( $sum($product(mod1(X1,X0),div1(X4,mod1(X1,X0))),mod1(X4,mod1(X1,X0))) = X4 )
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,X1) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f774,f403]) ).
tff(f8680,plain,
( spl3_77
| spl3_230
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f4928,f386,f379,f8678,f3442]) ).
tff(f8678,plain,
( spl3_230
<=> ! [X0: $int,X1: $int,X3: $int] :
( $less(0,$sum(0,$uminus(X3)))
| $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(1,mod1(X3,mod1(X1,X0))))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_230])]) ).
tff(f4928,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X3)))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,$sum(1,mod1(X3,mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| $less(0,X1) )
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_demodulation,[],[f4861,f342]) ).
tff(f4861,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,X1)
| $less(0,$sum(1,mod1(X3,mod1(X1,X0))))
| $less(0,$sum(0,$uminus(X3)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0)))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(constrained_superposition,[],[f926,f417]) ).
tff(f8676,plain,
( spl3_77
| spl3_229
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4047,f379,f8674,f3442]) ).
tff(f8674,plain,
( spl3_229
<=> ! [X0: $int,X1: $int,X3: $int] :
( $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X3,mod1(X1,X0)))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_229])]) ).
tff(f4047,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X3,mod1(X1,X0)))))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| ( 1 != $product(X0,div1(X1,X0)) ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f4012,f345]) ).
tff(f4012,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,$sum(abs1(mod1(X1,X0)),$uminus(mod1(X3,mod1(X1,X0)))))
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f545,f403]) ).
tff(f8671,plain,
( ~ spl3_228
| spl3_48
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8624,f8612,f2375,f8668]) ).
tff(f8668,plain,
( spl3_228
<=> is_power_of_21($sum(0,div1(sK1,2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_228])]) ).
tff(f2375,plain,
( spl3_48
<=> is_power_of_21($sum(0,div1($sum(sK1,0),2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
tff(f8624,plain,
( ~ is_power_of_21($sum(0,div1(sK1,2)))
| spl3_48
| ~ spl3_220 ),
inference(backward_demodulation,[],[f2377,f8614]) ).
tff(f2377,plain,
( ~ is_power_of_21($sum(0,div1($sum(sK1,0),2)))
| spl3_48 ),
inference(avatar_component_clause,[],[f2375]) ).
tff(f8666,plain,
( ~ spl3_227
| spl3_52
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8625,f8612,f2410,f8663]) ).
tff(f8663,plain,
( spl3_227
<=> ( $sum(0,div1(sK1,2)) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_227])]) ).
tff(f8625,plain,
( ( $sum(0,div1(sK1,2)) != sK1 )
| spl3_52
| ~ spl3_220 ),
inference(backward_demodulation,[],[f2412,f8614]) ).
tff(f8661,plain,
( ~ spl3_226
| spl3_46
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8623,f8612,f2305,f8658]) ).
tff(f8658,plain,
( spl3_226
<=> ( $sum(0,div1(sK1,2)) = power1(2,$sum(sK0(sK1),-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_226])]) ).
tff(f2305,plain,
( spl3_46
<=> ( power1(2,$sum(sK0(sK1),-1)) = $sum(0,div1($sum(sK1,0),2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).
tff(f8623,plain,
( ( $sum(0,div1(sK1,2)) != power1(2,$sum(sK0(sK1),-1)) )
| spl3_46
| ~ spl3_220 ),
inference(backward_demodulation,[],[f2307,f8614]) ).
tff(f2307,plain,
( ( power1(2,$sum(sK0(sK1),-1)) != $sum(0,div1($sum(sK1,0),2)) )
| spl3_46 ),
inference(avatar_component_clause,[],[f2305]) ).
tff(f8656,plain,
( ~ spl3_225
| spl3_58
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8626,f8612,f2484,f8653]) ).
tff(f8653,plain,
( spl3_225
<=> ( sK1 = $product(2,$sum(sK1,$uminus(div1(0,2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_225])]) ).
tff(f2484,plain,
( spl3_58
<=> ( $product(2,$sum($sum(sK1,0),$uminus(div1(0,2)))) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).
tff(f8626,plain,
( ( sK1 != $product(2,$sum(sK1,$uminus(div1(0,2)))) )
| spl3_58
| ~ spl3_220 ),
inference(backward_demodulation,[],[f2486,f8614]) ).
tff(f2486,plain,
( ( $product(2,$sum($sum(sK1,0),$uminus(div1(0,2)))) != sK1 )
| spl3_58 ),
inference(avatar_component_clause,[],[f2484]) ).
tff(f8651,plain,
( spl3_224
| ~ spl3_81
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8627,f8612,f3459,f8648]) ).
tff(f8627,plain,
( $less(0,$sum(sK1,abs1(0)))
| ~ spl3_81
| ~ spl3_220 ),
inference(backward_demodulation,[],[f3461,f8614]) ).
tff(f3461,plain,
( $less(0,$sum($sum(sK1,0),abs1(0)))
| ~ spl3_81 ),
inference(avatar_component_clause,[],[f3459]) ).
tff(f8646,plain,
( ~ spl3_223
| spl3_213
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8630,f8612,f8487,f8643]) ).
tff(f8487,plain,
( spl3_213
<=> ( sK1 = $product(2,$sum($sum(sK1,0),abs1(div1(0,2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_213])]) ).
tff(f8630,plain,
( ( sK1 != $product(2,$sum(sK1,abs1(div1(0,2)))) )
| spl3_213
| ~ spl3_220 ),
inference(backward_demodulation,[],[f8489,f8614]) ).
tff(f8489,plain,
( ( sK1 != $product(2,$sum($sum(sK1,0),abs1(div1(0,2)))) )
| spl3_213 ),
inference(avatar_component_clause,[],[f8487]) ).
tff(f8641,plain,
( ~ spl3_222
| spl3_43
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8622,f8612,f2245,f8638]) ).
tff(f8638,plain,
( spl3_222
<=> ( sK1 = $product(2,$sum(0,div1(sK1,2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_222])]) ).
tff(f2245,plain,
( spl3_43
<=> ( $product(2,$sum(0,div1($sum(sK1,0),2))) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).
tff(f8622,plain,
( ( sK1 != $product(2,$sum(0,div1(sK1,2))) )
| spl3_43
| ~ spl3_220 ),
inference(backward_demodulation,[],[f2247,f8614]) ).
tff(f2247,plain,
( ( $product(2,$sum(0,div1($sum(sK1,0),2))) != sK1 )
| spl3_43 ),
inference(avatar_component_clause,[],[f2245]) ).
tff(f8636,plain,
( ~ spl3_221
| spl3_211
| ~ spl3_220 ),
inference(avatar_split_clause,[],[f8629,f8612,f8477,f8633]) ).
tff(f8629,plain,
( ~ is_power_of_21($sum(sK1,$uminus(div1(0,2))))
| spl3_211
| ~ spl3_220 ),
inference(backward_demodulation,[],[f8479,f8614]) ).
tff(f8479,plain,
( ~ is_power_of_21($sum($sum(sK1,0),$uminus(div1(0,2))))
| spl3_211 ),
inference(avatar_component_clause,[],[f8477]) ).
tff(f8620,plain,
( spl3_220
| ~ spl3_196
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f8582,f8551,f8053,f8612]) ).
tff(f8053,plain,
( spl3_196
<=> ( sK1 = $product(1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_196])]) ).
tff(f8582,plain,
( ( sK1 = $sum(sK1,0) )
| ~ spl3_196
| ~ spl3_216 ),
inference(superposition,[],[f8552,f8055]) ).
tff(f8055,plain,
( ( sK1 = $product(1,sK1) )
| ~ spl3_196 ),
inference(avatar_component_clause,[],[f8053]) ).
tff(f8615,plain,
( ~ spl3_219
| spl3_220
| ~ spl3_114
| ~ spl3_216 ),
inference(avatar_split_clause,[],[f8581,f8551,f6371,f8612,f8608]) ).
tff(f8608,plain,
( spl3_219
<=> ( 1 = power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_219])]) ).
tff(f8581,plain,
( ( sK1 = $sum(sK1,0) )
| ( 1 != power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))) )
| ~ spl3_114
| ~ spl3_216 ),
inference(constrained_superposition,[],[f8552,f6373]) ).
tff(f8577,plain,
( ~ spl3_218
| spl3_31
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f8571,f6371,f1117,f8574]) ).
tff(f1117,plain,
( spl3_31
<=> ( sK1 = $product(2,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
tff(f8571,plain,
( ( 2 != power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))) )
| spl3_31
| ~ spl3_114 ),
inference(trivial_inequality_removal,[],[f8567]) ).
tff(f8567,plain,
( ( 2 != power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))) )
| ( sK1 != sK1 )
| spl3_31
| ~ spl3_114 ),
inference(constrained_superposition,[],[f1118,f6373]) ).
tff(f1118,plain,
( ( sK1 != $product(2,sK1) )
| spl3_31 ),
inference(avatar_component_clause,[],[f1117]) ).
tff(f8562,plain,
( spl3_217
| spl3_216
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f8561,f379,f8551,f8554]) ).
tff(f8554,plain,
( spl3_217
<=> ! [X2: $int,X1: $int] :
( ( -1 != mod1(X2,X1) )
| $less(0,X2)
| ( sK1 != $product(X1,div1(X2,X1)) )
| ( 1 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_217])]) ).
tff(f8561,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( $sum($product(1,X0),0) = X0 )
| ( 1 = X1 )
| ( sK1 != $product(X1,div1(X2,X1)) )
| ( -1 != mod1(X2,X1) )
| $less(0,X2) )
| ~ spl3_3 ),
inference(forward_demodulation,[],[f8505,f300]) ).
tff(f8505,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 1 = X1 )
| ( -1 != mod1(X2,X1) )
| ( $sum($product(1,div1(X0,1)),0) = X0 )
| $less(0,X2)
| ( sK1 != $product(X1,div1(X2,X1)) ) )
| ~ spl3_3 ),
inference(superposition,[],[f595,f259]) ).
tff(f595,plain,
( ! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( $sum($product(X1,div1(X2,X1)),mod1(X2,X1)) = X2 )
| ( X0 = X1 )
| ( mod1(X3,X0) != -1 )
| $less(0,X3)
| ( sK1 != $product(X0,div1(X3,X0)) ) )
| ~ spl3_3 ),
inference(superposition,[],[f271,f401]) ).
tff(f8556,plain,
( spl3_216
| spl3_217
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f8549,f379,f8554,f8551]) ).
tff(f8549,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( -1 != mod1(X2,X1) )
| ( 1 = X1 )
| ( sK1 != $product(X1,div1(X2,X1)) )
| $less(0,X2)
| ( $sum($product(1,X0),0) = X0 ) )
| ~ spl3_3 ),
inference(forward_demodulation,[],[f8501,f259]) ).
tff(f8501,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( $sum($product(1,X0),mod1(X0,1)) = X0 )
| ( sK1 != $product(X1,div1(X2,X1)) )
| ( 1 = X1 )
| ( -1 != mod1(X2,X1) )
| $less(0,X2) )
| ~ spl3_3 ),
inference(superposition,[],[f595,f300]) ).
tff(f8498,plain,
( ~ spl3_213
| spl3_215
| spl3_58 ),
inference(avatar_split_clause,[],[f8469,f2484,f8495,f8487]) ).
tff(f8469,plain,
( $less(0,$sum(1,div1(0,2)))
| ( sK1 != $product(2,$sum($sum(sK1,0),abs1(div1(0,2)))) )
| spl3_58 ),
inference(superposition,[],[f2486,f333]) ).
tff(f8493,plain,
( ~ spl3_213
| spl3_214
| ~ spl3_3
| spl3_58 ),
inference(avatar_split_clause,[],[f8468,f2484,f379,f8491,f8487]) ).
tff(f8468,plain,
( ! [X0: $int,X1: $int] :
( $less(0,X0)
| $less(0,$sum($sum(1,div1(0,2)),$uminus(X1)))
| ( sK1 != $product(2,$sum($sum(sK1,0),abs1(div1(0,2)))) )
| ( sK1 != $product(X1,div1(X0,X1)) )
| ( mod1(X0,X1) != -1 ) )
| ~ spl3_3
| spl3_58 ),
inference(superposition,[],[f2486,f682]) ).
tff(f8485,plain,
( ~ spl3_31
| spl3_58 ),
inference(avatar_split_clause,[],[f8474,f2484,f1117]) ).
tff(f8474,plain,
( ( sK1 != $product(2,sK1) )
| spl3_58 ),
inference(evaluation,[],[f8467]) ).
tff(f8467,plain,
( $less(0,$sum(0,$uminus(0)))
| $less(0,$sum($sum(0,1),$uminus(2)))
| ( sK1 != $product(2,$sum($sum(sK1,0),$uminus(0))) )
| spl3_58 ),
inference(superposition,[],[f2486,f350]) ).
tff(f8484,plain,
( ~ spl3_211
| ~ spl3_212
| ~ spl3_10
| spl3_58 ),
inference(avatar_split_clause,[],[f8475,f2484,f446,f8481,f8477]) ).
tff(f8475,plain,
( ( sK0($sum($sum(sK1,0),$uminus(div1(0,2)))) != $sum(sK0(sK1),-1) )
| ~ is_power_of_21($sum($sum(sK1,0),$uminus(div1(0,2))))
| ~ spl3_10
| spl3_58 ),
inference(trivial_inequality_removal,[],[f8470]) ).
tff(f8470,plain,
( ( sK0($sum($sum(sK1,0),$uminus(div1(0,2)))) != $sum(sK0(sK1),-1) )
| ( sK1 != sK1 )
| ~ is_power_of_21($sum($sum(sK1,0),$uminus(div1(0,2))))
| ~ spl3_10
| spl3_58 ),
inference(superposition,[],[f2486,f1049]) ).
tff(f8424,plain,
( spl3_210
| spl3_56
| spl3_14
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f8407,f7038,f472,f2443,f8422]) ).
tff(f8422,plain,
( spl3_210
<=> ! [X0: $int,X1: $int] :
( ( 1 != div1(X0,sK1) )
| ( $product(power1(X1,sK1),power1(X1,mod1(X0,sK1))) = power1(X1,X0) )
| $less(0,$sum(0,$uminus(mod1(X0,sK1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_210])]) ).
tff(f8407,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(0,$uminus(sK1)))
| ( 1 != div1(X0,sK1) )
| $less(0,$sum(0,$uminus(mod1(X0,sK1))))
| ( $product(power1(X1,sK1),power1(X1,mod1(X0,sK1))) = power1(X1,X0) ) )
| spl3_14
| ~ spl3_130 ),
inference(superposition,[],[f365,f7217]) ).
tff(f8420,plain,
( spl3_159
| spl3_209
| spl3_14
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f8406,f7038,f472,f8418,f7210]) ).
tff(f8418,plain,
( spl3_209
<=> ! [X2: $int,X3: $int] :
( ( $sum($product(sK1,X2),X3) = $sum(sK1,mod1(X3,sK1)) )
| $less(0,$sum(0,$uminus(X2)))
| ( 1 != div1($sum($product(sK1,X2),X3),sK1) )
| $less(0,$sum(0,$uminus(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_209])]) ).
tff(f8406,plain,
( ! [X2: $int,X3: $int] :
( ( $sum($product(sK1,X2),X3) = $sum(sK1,mod1(X3,sK1)) )
| $less(0,$sum(0,$uminus(X3)))
| ( 1 != div1($sum($product(sK1,X2),X3),sK1) )
| $less(0,$sum(1,$uminus(sK1)))
| $less(0,$sum(0,$uminus(X2))) )
| spl3_14
| ~ spl3_130 ),
inference(superposition,[],[f7217,f354]) ).
tff(f8416,plain,
( spl3_159
| spl3_208
| spl3_14
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f8412,f7038,f472,f8414,f7210]) ).
tff(f8412,plain,
( ! [X3: $int] :
( ( $sum($product(sK1,$sum(1,$uminus(div1(X3,sK1)))),X3) = $sum(sK1,mod1(X3,sK1)) )
| $less(0,$sum(0,$uminus(X3)))
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X3,sK1))))))
| $less(0,$sum(1,$uminus(sK1))) )
| spl3_14
| ~ spl3_130 ),
inference(forward_subsumption_demodulation,[],[f8410,f354]) ).
tff(f8410,plain,
( ! [X3: $int] :
( ( $sum($product(sK1,$sum(1,$uminus(div1(X3,sK1)))),X3) = $sum(sK1,mod1($sum($product(sK1,$sum(1,$uminus(div1(X3,sK1)))),X3),sK1)) )
| $less(0,$sum(0,$uminus($sum(1,$uminus(div1(X3,sK1))))))
| $less(0,$sum(0,$uminus(X3)))
| $less(0,$sum(1,$uminus(sK1))) )
| spl3_14
| ~ spl3_130 ),
inference(gaussian_variable_elimination,[],[f8401]) ).
tff(f8401,plain,
( ! [X2: $int,X3: $int] :
( $less(0,$sum(0,$uminus(X2)))
| ( 1 != $sum(X2,div1(X3,sK1)) )
| $less(0,$sum(1,$uminus(sK1)))
| ( $sum(sK1,mod1($sum($product(sK1,X2),X3),sK1)) = $sum($product(sK1,X2),X3) )
| $less(0,$sum(0,$uminus(X3))) )
| spl3_14
| ~ spl3_130 ),
inference(superposition,[],[f7217,f356]) ).
tff(f8380,plain,
( ~ spl3_206
| spl3_207
| spl3_9
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f8372,f2860,f441,f8378,f8374]) ).
tff(f8374,plain,
( spl3_206
<=> ( 1 = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_206])]) ).
tff(f8378,plain,
( spl3_207
<=> ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( 1 != sK0(X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_207])]) ).
tff(f441,plain,
( spl3_9
<=> ( 1 = sK0(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
tff(f8372,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( 1 != $product(sK0(sK1),1) )
| ( 1 != sK0(X0) ) )
| spl3_9
| ~ spl3_64 ),
inference(inner_rewriting,[],[f8264]) ).
tff(f8264,plain,
( ! [X0: $int] :
( ( sK0(X0) != $product(sK0(sK1),1) )
| ( 1 != sK0(X0) )
| ~ is_power_of_21(X0) )
| spl3_9
| ~ spl3_64 ),
inference(superposition,[],[f443,f3491]) ).
tff(f443,plain,
( ( 1 != sK0(sK1) )
| spl3_9 ),
inference(avatar_component_clause,[],[f441]) ).
tff(f8371,plain,
( ~ spl3_204
| spl3_205
| spl3_13
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f8363,f2860,f459,f8369,f8365]) ).
tff(f8365,plain,
( spl3_204
<=> ( 0 = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_204])]) ).
tff(f8369,plain,
( spl3_205
<=> ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( 0 != sK0(X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_205])]) ).
tff(f459,plain,
( spl3_13
<=> ( 0 = sK0(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
tff(f8363,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( 0 != sK0(X0) )
| ( 0 != $product(sK0(sK1),1) ) )
| spl3_13
| ~ spl3_64 ),
inference(inner_rewriting,[],[f8267]) ).
tff(f8267,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( 0 != sK0(X0) )
| ( sK0(X0) != $product(sK0(sK1),1) ) )
| spl3_13
| ~ spl3_64 ),
inference(superposition,[],[f461,f3491]) ).
tff(f461,plain,
( ( 0 != sK0(sK1) )
| spl3_13 ),
inference(avatar_component_clause,[],[f459]) ).
tff(f8362,plain,
( ~ spl3_203
| ~ spl3_33
| spl3_30
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f8342,f2860,f1112,f1496,f8359]) ).
tff(f8359,plain,
( spl3_203
<=> ( sK0(4) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_203])]) ).
tff(f1496,plain,
( spl3_33
<=> is_power_of_21(4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
tff(f1112,plain,
( spl3_30
<=> ( sK1 = 4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
tff(f8342,plain,
( ~ is_power_of_21(4)
| ( sK0(4) != $product(sK0(sK1),1) )
| spl3_30
| ~ spl3_64 ),
inference(gaussian_variable_elimination,[],[f8297]) ).
tff(f8297,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( sK0(X0) != $product(sK0(sK1),1) )
| ( 4 != X0 ) )
| spl3_30
| ~ spl3_64 ),
inference(superposition,[],[f1113,f3491]) ).
tff(f1113,plain,
( ( sK1 != 4 )
| spl3_30 ),
inference(avatar_component_clause,[],[f1112]) ).
tff(f8355,plain,
( ~ spl3_201
| ~ spl3_202
| spl3_8
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f8346,f2860,f437,f8352,f8348]) ).
tff(f8348,plain,
( spl3_201
<=> ( sK0(2) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_201])]) ).
tff(f437,plain,
( spl3_8
<=> ( 2 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
tff(f8346,plain,
( ~ is_power_of_21(2)
| ( sK0(2) != $product(sK0(sK1),1) )
| spl3_8
| ~ spl3_64 ),
inference(gaussian_variable_elimination,[],[f8263]) ).
tff(f8263,plain,
( ! [X0: $int] :
( ~ is_power_of_21(X0)
| ( 2 != X0 )
| ( sK0(X0) != $product(sK0(sK1),1) ) )
| spl3_8
| ~ spl3_64 ),
inference(superposition,[],[f438,f3491]) ).
tff(f438,plain,
( ( 2 != sK1 )
| spl3_8 ),
inference(avatar_component_clause,[],[f437]) ).
tff(f8083,plain,
( spl3_56
| spl3_200
| ~ spl3_196 ),
inference(avatar_split_clause,[],[f8071,f8053,f8081,f2443]) ).
tff(f8081,plain,
( spl3_200
<=> ! [X3: $int] :
( $less(0,$sum($sum(sK1,1),$uminus($product(X3,sK1))))
| $less(0,$sum(X3,-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_200])]) ).
tff(f8071,plain,
( ! [X3: $int] :
( $less(0,$sum($sum(sK1,1),$uminus($product(X3,sK1))))
| $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(X3,-1)) )
| ~ spl3_196 ),
inference(evaluation,[],[f8067]) ).
tff(f8067,plain,
( ! [X3: $int] :
( $less(0,$sum($sum(sK1,1),$uminus($product(X3,sK1))))
| $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(X3,$uminus(1))) )
| ~ spl3_196 ),
inference(superposition,[],[f364,f8055]) ).
tff(f364,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum($product(X2,X1),1),$uminus($product(X0,X1))))
| $less(0,$sum(X0,$uminus(X2)))
| $less(0,$sum(0,$uminus(X1))) ),
inference(evaluation,[],[f322]) ).
tff(f322,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($product(X2,X1),$product(X0,X1))
| $less(X2,X0)
| $less(X1,0) ),
inference(cnf_transformation,[],[f246]) ).
tff(f246,plain,
! [X0: $int,X1: $int,X2: $int] :
( $less(X2,X0)
| $less(X1,0)
| ~ $less($product(X2,X1),$product(X0,X1)) ),
inference(rectify,[],[f173]) ).
tff(f173,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X1,X2)
| $less(X0,0)
| ~ $less($product(X1,X0),$product(X2,X0)) ),
inference(flattening,[],[f172]) ).
tff(f172,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less($product(X1,X0),$product(X2,X0))
| $less(X0,0)
| $less(X1,X2) ),
inference(ennf_transformation,[],[f117]) ).
tff(f117,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
=> ( ~ $less(X0,0)
=> ~ $less($product(X1,X0),$product(X2,X0)) ) ),
inference(rectify,[],[f76]) ).
tff(f76,plain,
! [X4: $int,X7: $int,X1: $int] :
( ~ $less(X7,X1)
=> ( ~ $less(X4,0)
=> ~ $less($product(X7,X4),$product(X1,X4)) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X4: $int,X7: $int,X1: $int] :
( $lesseq(X1,X7)
=> ( $lesseq(0,X4)
=> $lesseq($product(X1,X4),$product(X7,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatOrderMult) ).
tff(f8079,plain,
( spl3_199
| spl3_56
| ~ spl3_196 ),
inference(avatar_split_clause,[],[f8066,f8053,f2443,f8077]) ).
tff(f8077,plain,
( spl3_199
<=> ! [X2: $int] :
( $less(0,$sum(1,$uminus(X2)))
| $less(0,$sum($sum($product(X2,sK1),1),$uminus(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_199])]) ).
tff(f8066,plain,
( ! [X2: $int] :
( $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(1,$uminus(X2)))
| $less(0,$sum($sum($product(X2,sK1),1),$uminus(sK1))) )
| ~ spl3_196 ),
inference(superposition,[],[f364,f8055]) ).
tff(f8064,plain,
( spl3_196
| spl3_198
| ~ spl3_3
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f7997,f6371,f379,f8062,f8053]) ).
tff(f8062,plain,
( spl3_198
<=> ! [X3: $int] :
( ( -1 != mod1(X3,$sum(sK0(sK1),$uminus(sK0(sK1)))) )
| ( sK1 != $product($sum(sK0(sK1),$uminus(sK0(sK1))),div1(X3,$sum(sK0(sK1),$uminus(sK0(sK1))))) )
| $less(0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_198])]) ).
tff(f7997,plain,
( ! [X3: $int] :
( ( -1 != mod1(X3,$sum(sK0(sK1),$uminus(sK0(sK1)))) )
| ( sK1 = $product(1,sK1) )
| $less(0,X3)
| ( sK1 != $product($sum(sK0(sK1),$uminus(sK0(sK1))),div1(X3,$sum(sK0(sK1),$uminus(sK0(sK1))))) ) )
| ~ spl3_3
| ~ spl3_114 ),
inference(superposition,[],[f6373,f596]) ).
tff(f596,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( sK1 != $product(X0,div1(X2,X0)) )
| $less(0,X2)
| ( 1 = power1(X1,X0) )
| ( mod1(X2,X0) != -1 ) )
| ~ spl3_3 ),
inference(superposition,[],[f298,f401]) ).
tff(f8060,plain,
( spl3_56
| spl3_197
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f8000,f6371,f8058,f2443]) ).
tff(f8058,plain,
( spl3_197
<=> ! [X3: $int] :
( $less(0,$sum($sum(sK1,1),$uminus($product(X3,sK1))))
| $less(0,$sum(X3,$uminus(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_197])]) ).
tff(f8000,plain,
( ! [X3: $int] :
( $less(0,$sum($sum(sK1,1),$uminus($product(X3,sK1))))
| $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(X3,$uminus(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))))) )
| ~ spl3_114 ),
inference(superposition,[],[f364,f6373]) ).
tff(f8056,plain,
( ~ spl3_195
| spl3_196
| ~ spl3_63
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f7991,f6371,f2854,f8053,f8049]) ).
tff(f8049,plain,
( spl3_195
<=> ( $product(sK0(sK1),0) = $sum(sK0(sK1),$uminus(sK0(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_195])]) ).
tff(f7991,plain,
( ( sK1 = $product(1,sK1) )
| ( $product(sK0(sK1),0) != $sum(sK0(sK1),$uminus(sK0(sK1))) )
| ~ spl3_63
| ~ spl3_114 ),
inference(constrained_superposition,[],[f6373,f2856]) ).
tff(f8047,plain,
( spl3_189
| spl3_56
| spl3_194
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f8001,f6371,f8045,f2443,f8020]) ).
tff(f8020,plain,
( spl3_189
<=> $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_189])]) ).
tff(f8045,plain,
( spl3_194
<=> ! [X4: $int] :
( $less(0,$sum(0,$uminus(X4)))
| ( $sum(sK1,div1(X4,power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))))) = div1($sum(sK1,X4),power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_194])]) ).
tff(f8001,plain,
( ! [X4: $int] :
( $less(0,$sum(0,$uminus(X4)))
| $less(0,$sum(0,$uminus(sK1)))
| ( $sum(sK1,div1(X4,power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))))) = div1($sum(sK1,X4),power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))) )
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))))) )
| ~ spl3_114 ),
inference(superposition,[],[f356,f6373]) ).
tff(f8043,plain,
( ~ spl3_193
| spl3_186
| ~ spl3_5
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f7994,f6371,f391,f8008,f8040]) ).
tff(f7994,plain,
( ( sK1 = $product(sK1,sK1) )
| ( sK0(sK1) != $sum(sK0(sK1),$uminus(sK0(sK1))) )
| ~ spl3_5
| ~ spl3_114 ),
inference(constrained_superposition,[],[f6373,f393]) ).
tff(f8038,plain,
( spl3_56
| spl3_192
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f7999,f6371,f8036,f2443]) ).
tff(f8036,plain,
( spl3_192
<=> ! [X2: $int] :
( $less(0,$sum($sum($product(X2,sK1),1),$uminus(sK1)))
| $less(0,$sum(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))),$uminus(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_192])]) ).
tff(f7999,plain,
( ! [X2: $int] :
( $less(0,$sum($sum($product(X2,sK1),1),$uminus(sK1)))
| $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))),$uminus(X2))) )
| ~ spl3_114 ),
inference(superposition,[],[f364,f6373]) ).
tff(f8033,plain,
( spl3_7
| spl3_190
| spl3_191
| ~ spl3_5
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f8024,f6371,f391,f8030,f8026,f432]) ).
tff(f432,plain,
( spl3_7
<=> $less(0,$sum(0,$uminus(sK0(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
tff(f8026,plain,
( spl3_190
<=> $less(0,$sum(0,sK0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_190])]) ).
tff(f8030,plain,
( spl3_191
<=> ( sK1 = $product($product(sK1,power1(2,$uminus(sK0(sK1)))),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_191])]) ).
tff(f8024,plain,
( ( sK1 = $product($product(sK1,power1(2,$uminus(sK0(sK1)))),sK1) )
| $less(0,$sum(0,sK0(sK1)))
| $less(0,$sum(0,$uminus(sK0(sK1))))
| ~ spl3_5
| ~ spl3_114 ),
inference(forward_demodulation,[],[f8004,f393]) ).
tff(f8004,plain,
( ( sK1 = $product($product(power1(2,sK0(sK1)),power1(2,$uminus(sK0(sK1)))),sK1) )
| $less(0,$sum(0,$uminus(sK0(sK1))))
| $less(0,$sum(0,sK0(sK1)))
| ~ spl3_114 ),
inference(evaluation,[],[f7996]) ).
tff(f7996,plain,
( ( sK1 = $product($product(power1(2,sK0(sK1)),power1(2,$uminus(sK0(sK1)))),sK1) )
| $less(0,$sum(0,$uminus($uminus(sK0(sK1)))))
| $less(0,$sum(0,$uminus(sK0(sK1))))
| ~ spl3_114 ),
inference(superposition,[],[f6373,f365]) ).
tff(f8023,plain,
( spl3_188
| spl3_56
| spl3_189
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f8002,f6371,f8020,f2443,f8017]) ).
tff(f8017,plain,
( spl3_188
<=> ! [X5: $int] :
( ( mod1($sum(sK1,X5),power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))) = mod1(X5,power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))) )
| $less(0,$sum(0,$uminus(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_188])]) ).
tff(f8002,plain,
( ! [X5: $int] :
( $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))))))
| $less(0,$sum(0,$uminus(sK1)))
| ( mod1($sum(sK1,X5),power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))) = mod1(X5,power1(2,$sum(sK0(sK1),$uminus(sK0(sK1))))) )
| $less(0,$sum(0,$uminus(X5))) )
| ~ spl3_114 ),
inference(superposition,[],[f354,f6373]) ).
tff(f8015,plain,
( spl3_186
| ~ spl3_187
| ~ spl3_64
| ~ spl3_114 ),
inference(avatar_split_clause,[],[f7992,f6371,f2860,f8012,f8008]) ).
tff(f7992,plain,
( ( $product(sK0(sK1),1) != $sum(sK0(sK1),$uminus(sK0(sK1))) )
| ( sK1 = $product(sK1,sK1) )
| ~ spl3_64
| ~ spl3_114 ),
inference(constrained_superposition,[],[f6373,f2862]) ).
tff(f7984,plain,
( spl3_173
| spl3_185
| spl3_182 ),
inference(avatar_split_clause,[],[f7980,f7913,f7982,f7874]) ).
tff(f7874,plain,
( spl3_173
<=> $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),-1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_173])]) ).
tff(f7982,plain,
( spl3_185
<=> ! [X1: $int] :
( ( mod1($sum(0,$uminus($product(power1(2,$sum(sK0(sK1),-1)),X1))),power1(2,$sum(sK0(sK1),-1))) != -1 )
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus($sum(0,$uminus($product(power1(2,$sum(sK0(sK1),-1)),X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_185])]) ).
tff(f7913,plain,
( spl3_182
<=> ( mod1(0,power1(2,$sum(sK0(sK1),-1))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_182])]) ).
tff(f7980,plain,
( ! [X1: $int] :
( ( mod1($sum(0,$uminus($product(power1(2,$sum(sK0(sK1),-1)),X1))),power1(2,$sum(sK0(sK1),-1))) != -1 )
| $less(0,$sum(0,$uminus($sum(0,$uminus($product(power1(2,$sum(sK0(sK1),-1)),X1))))))
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,$sum(0,$uminus(X1))) )
| spl3_182 ),
inference(gaussian_variable_elimination,[],[f7976]) ).
tff(f7976,plain,
( ! [X2: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(0,$uminus(X1)))
| ( mod1(X2,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ( 0 != $sum($product(power1(2,$sum(sK0(sK1),-1)),X1),X2) )
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),-1))))) )
| spl3_182 ),
inference(constrained_superposition,[],[f7915,f354]) ).
tff(f7915,plain,
( ( mod1(0,power1(2,$sum(sK0(sK1),-1))) != -1 )
| spl3_182 ),
inference(avatar_component_clause,[],[f7913]) ).
tff(f7951,plain,
( spl3_137
| spl3_184
| spl3_140 ),
inference(avatar_split_clause,[],[f7947,f7083,f7949,f7070]) ).
tff(f7070,plain,
( spl3_137
<=> $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_137])]) ).
tff(f7949,plain,
( spl3_184
<=> ! [X1: $int] :
( ( mod1($sum(0,$uminus($product(power1(2,$sum(sK0(sK1),0)),X1))),power1(2,$sum(sK0(sK1),0))) != -1 )
| $less(0,$sum(0,$uminus($sum(0,$uminus($product(power1(2,$sum(sK0(sK1),0)),X1))))))
| $less(0,$sum(0,$uminus(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_184])]) ).
tff(f7083,plain,
( spl3_140
<=> ( mod1(0,power1(2,$sum(sK0(sK1),0))) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_140])]) ).
tff(f7947,plain,
( ! [X1: $int] :
( ( mod1($sum(0,$uminus($product(power1(2,$sum(sK0(sK1),0)),X1))),power1(2,$sum(sK0(sK1),0))) != -1 )
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),0)))))
| $less(0,$sum(0,$uminus($sum(0,$uminus($product(power1(2,$sum(sK0(sK1),0)),X1)))))) )
| spl3_140 ),
inference(gaussian_variable_elimination,[],[f7942]) ).
tff(f7942,plain,
( ! [X2: $int,X1: $int] :
( ( mod1(X2,power1(2,$sum(sK0(sK1),0))) != -1 )
| ( 0 != $sum($product(power1(2,$sum(sK0(sK1),0)),X1),X2) )
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),0)))))
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus(X2))) )
| spl3_140 ),
inference(constrained_superposition,[],[f7085,f354]) ).
tff(f7085,plain,
( ( mod1(0,power1(2,$sum(sK0(sK1),0))) != -1 )
| spl3_140 ),
inference(avatar_component_clause,[],[f7083]) ).
tff(f7920,plain,
( ~ spl3_182
| spl3_24
| ~ spl3_183
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7836,f6351,f379,f7917,f1086,f7913]) ).
tff(f1086,plain,
( spl3_24
<=> ( 0 = power1(2,$sum(sK0(sK1),-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
tff(f7917,plain,
( spl3_183
<=> ( 2 = div1(0,power1(2,$sum(sK0(sK1),-1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_183])]) ).
tff(f6351,plain,
( spl3_111
<=> ( $product(power1(2,$sum(sK0(sK1),-1)),2) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_111])]) ).
tff(f7836,plain,
( ( 2 != div1(0,power1(2,$sum(sK0(sK1),-1))) )
| ( 0 = power1(2,$sum(sK0(sK1),-1)) )
| ( mod1(0,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ~ spl3_3
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7829]) ).
tff(f7829,plain,
( ( 0 = power1(2,$sum(sK0(sK1),-1)) )
| ( mod1(0,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ( 2 != div1(0,power1(2,$sum(sK0(sK1),-1))) )
| ( sK1 != sK1 )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f574,f6353]) ).
tff(f6353,plain,
( ( $product(power1(2,$sum(sK0(sK1),-1)),2) = sK1 )
| ~ spl3_111 ),
inference(avatar_component_clause,[],[f6351]) ).
tff(f7911,plain,
( spl3_181
| spl3_168
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7838,f6351,f379,f7853,f7909]) ).
tff(f7909,plain,
( spl3_181
<=> ! [X21: $int] :
( $less(0,$sum($sum(power1(2,$sum(sK0(sK1),-1)),$uminus(X21)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( abs1(X21) = X21 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_181])]) ).
tff(f7853,plain,
( spl3_168
<=> ! [X16: $int] :
( ( mod1(X16,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ( 2 != div1(X16,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_168])]) ).
tff(f7838,plain,
( ! [X21: $int,X20: $int] :
( ( 2 != div1(X20,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum($sum(power1(2,$sum(sK0(sK1),-1)),$uminus(X21)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( abs1(X21) = X21 )
| $less(0,X20)
| ( mod1(X20,power1(2,$sum(sK0(sK1),-1))) != -1 ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7825]) ).
tff(f7825,plain,
( ! [X21: $int,X20: $int] :
( $less(0,$sum($sum(power1(2,$sum(sK0(sK1),-1)),$uminus(X21)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( abs1(X21) = X21 )
| $less(0,X20)
| ( mod1(X20,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ( sK1 != sK1 )
| ( 2 != div1(X20,power1(2,$sum(sK0(sK1),-1))) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f742,f6353]) ).
tff(f7907,plain,
( spl3_180
| spl3_168
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7840,f6351,f379,f7853,f7905]) ).
tff(f7905,plain,
( spl3_180
<=> ! [X19: $int] :
( $less(0,$sum($sum(1,X19),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( $uminus(X19) = abs1(X19) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_180])]) ).
tff(f7840,plain,
( ! [X18: $int,X19: $int] :
( ( 2 != div1(X18,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum($sum(1,X19),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( mod1(X18,power1(2,$sum(sK0(sK1),-1))) != -1 )
| $less(0,X18)
| ( $uminus(X19) = abs1(X19) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7824]) ).
tff(f7824,plain,
( ! [X18: $int,X19: $int] :
( $less(0,X18)
| ( $uminus(X19) = abs1(X19) )
| $less(0,$sum($sum(1,X19),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( sK1 != sK1 )
| ( mod1(X18,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ( 2 != div1(X18,power1(2,$sum(sK0(sK1),-1))) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f682,f6353]) ).
tff(f7903,plain,
( spl3_24
| spl3_179
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7842,f6351,f379,f7901,f1086]) ).
tff(f7901,plain,
( spl3_179
<=> ! [X6: $int,X7: $int,X8: $int] :
( $less(0,$sum(X6,$uminus(X7)))
| ( 2 != div1(X6,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum(mod1(X8,X7),abs1(X7)))
| ( mod1(X6,power1(2,$sum(sK0(sK1),-1))) != -1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_179])]) ).
tff(f7842,plain,
( ! [X8: $int,X6: $int,X7: $int] :
( $less(0,$sum(X6,$uminus(X7)))
| ( mod1(X6,power1(2,$sum(sK0(sK1),-1))) != -1 )
| $less(0,$sum(mod1(X8,X7),abs1(X7)))
| ( 2 != div1(X6,power1(2,$sum(sK0(sK1),-1))) )
| ( 0 = power1(2,$sum(sK0(sK1),-1)) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7818]) ).
tff(f7818,plain,
( ! [X8: $int,X6: $int,X7: $int] :
( $less(0,$sum(mod1(X8,X7),abs1(X7)))
| ( mod1(X6,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ( sK1 != sK1 )
| $less(0,$sum(X6,$uminus(X7)))
| ( 2 != div1(X6,power1(2,$sum(sK0(sK1),-1))) )
| ( 0 = power1(2,$sum(sK0(sK1),-1)) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f483,f6353]) ).
tff(f7899,plain,
( spl3_24
| spl3_177
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7814,f6351,f7890,f1086]) ).
tff(f7890,plain,
( spl3_177
<=> ! [X23: $int] :
( ( 2 != div1(X23,power1(2,$sum(sK0(sK1),-1))) )
| ( $sum(sK1,mod1(X23,power1(2,$sum(sK0(sK1),-1)))) = X23 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_177])]) ).
tff(f7814,plain,
( ! [X2: $int] :
( ( 2 != div1(X2,power1(2,$sum(sK0(sK1),-1))) )
| ( 0 = power1(2,$sum(sK0(sK1),-1)) )
| ( $sum(sK1,mod1(X2,power1(2,$sum(sK0(sK1),-1)))) = X2 ) )
| ~ spl3_111 ),
inference(constrained_superposition,[],[f271,f6353]) ).
tff(f7898,plain,
( spl3_170
| spl3_177
| ~ spl3_4
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7817,f6351,f386,f7890,f7860]) ).
tff(f7860,plain,
( spl3_170
<=> $less(0,$sum($sum(1,sK0(sK1)),$uminus(power1(2,$sum(sK0(sK1),-1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_170])]) ).
tff(f7817,plain,
( ! [X5: $int] :
( ( 2 != div1(X5,power1(2,$sum(sK0(sK1),-1))) )
| ( $sum(sK1,mod1(X5,power1(2,$sum(sK0(sK1),-1)))) = X5 )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(power1(2,$sum(sK0(sK1),-1))))) )
| ~ spl3_4
| ~ spl3_111 ),
inference(constrained_superposition,[],[f417,f6353]) ).
tff(f7896,plain,
( spl3_173
| spl3_178
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7843,f6351,f7894,f7874]) ).
tff(f7894,plain,
( spl3_178
<=> ! [X29: $int] :
( $less(0,$sum(0,$uminus(X29)))
| ( mod1($sum(sK1,X29),power1(2,$sum(sK0(sK1),-1))) = mod1(X29,power1(2,$sum(sK0(sK1),-1))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_178])]) ).
tff(f7843,plain,
( ! [X29: $int] :
( $less(0,$sum(0,$uminus(X29)))
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( mod1($sum(sK1,X29),power1(2,$sum(sK0(sK1),-1))) = mod1(X29,power1(2,$sum(sK0(sK1),-1))) ) )
| ~ spl3_111 ),
inference(evaluation,[],[f7834]) ).
tff(f7834,plain,
( ! [X29: $int] :
( $less(0,$sum(0,$uminus(X29)))
| ( mod1($sum(sK1,X29),power1(2,$sum(sK0(sK1),-1))) = mod1(X29,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,$sum(0,$uminus(2))) )
| ~ spl3_111 ),
inference(superposition,[],[f354,f6353]) ).
tff(f7892,plain,
( spl3_175
| spl3_176
| spl3_177
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7827,f6351,f379,f7890,f7886,f7882]) ).
tff(f7882,plain,
( spl3_175
<=> $less(0,$sum($sum(sK1,-1),abs1(power1(2,$sum(sK0(sK1),-1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_175])]) ).
tff(f7886,plain,
( spl3_176
<=> $less(0,$sum(1,power1(2,$sum(sK0(sK1),-1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_176])]) ).
tff(f7827,plain,
( ! [X23: $int] :
( ( 2 != div1(X23,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum(1,power1(2,$sum(sK0(sK1),-1))))
| $less(0,$sum($sum(sK1,-1),abs1(power1(2,$sum(sK0(sK1),-1)))))
| ( $sum(sK1,mod1(X23,power1(2,$sum(sK0(sK1),-1)))) = X23 ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f774,f6353]) ).
tff(f7880,plain,
( spl3_173
| spl3_174
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7844,f6351,f7878,f7874]) ).
tff(f7878,plain,
( spl3_174
<=> ! [X28: $int] :
( $less(0,$sum(0,$uminus(X28)))
| ( $sum(2,div1(X28,power1(2,$sum(sK0(sK1),-1)))) = div1($sum(sK1,X28),power1(2,$sum(sK0(sK1),-1))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_174])]) ).
tff(f7844,plain,
( ! [X28: $int] :
( $less(0,$sum(0,$uminus(X28)))
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( $sum(2,div1(X28,power1(2,$sum(sK0(sK1),-1)))) = div1($sum(sK1,X28),power1(2,$sum(sK0(sK1),-1))) ) )
| ~ spl3_111 ),
inference(evaluation,[],[f7833]) ).
tff(f7833,plain,
( ! [X28: $int] :
( $less(0,$sum(0,$uminus(2)))
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( $sum(2,div1(X28,power1(2,$sum(sK0(sK1),-1)))) = div1($sum(sK1,X28),power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum(0,$uminus(X28))) )
| ~ spl3_111 ),
inference(superposition,[],[f356,f6353]) ).
tff(f7872,plain,
( spl3_172
| spl3_168
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7846,f6351,f379,f7853,f7870]) ).
tff(f7870,plain,
( spl3_172
<=> ! [X12: $int] : ( 1 = power1(X12,power1(2,$sum(sK0(sK1),-1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_172])]) ).
tff(f7846,plain,
( ! [X11: $int,X12: $int] :
( ( 2 != div1(X11,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,X11)
| ( mod1(X11,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ( 1 = power1(X12,power1(2,$sum(sK0(sK1),-1))) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7820]) ).
tff(f7820,plain,
( ! [X11: $int,X12: $int] :
( ( 2 != div1(X11,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,X11)
| ( sK1 != sK1 )
| ( mod1(X11,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ( 1 = power1(X12,power1(2,$sum(sK0(sK1),-1))) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f596,f6353]) ).
tff(f7868,plain,
( spl3_168
| spl3_24
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7847,f6351,f379,f1086,f7853]) ).
tff(f7847,plain,
( ! [X3: $int] :
( ( 0 = power1(2,$sum(sK0(sK1),-1)) )
| ( -1 != mod1(X3,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,X3)
| ( 2 != div1(X3,power1(2,$sum(sK0(sK1),-1))) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7815]) ).
tff(f7815,plain,
( ! [X3: $int] :
( $less(0,X3)
| ( 2 != div1(X3,power1(2,$sum(sK0(sK1),-1))) )
| ( 0 = power1(2,$sum(sK0(sK1),-1)) )
| ( -1 != mod1(X3,power1(2,$sum(sK0(sK1),-1))) )
| ( sK1 != sK1 ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f401,f6353]) ).
tff(f7867,plain,
( spl3_171
| spl3_168
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7848,f6351,f379,f7853,f7865]) ).
tff(f7865,plain,
( spl3_171
<=> ! [X15: $int] : $less(0,$sum($sum(1,abs1(X15)),$uminus(power1(2,$sum(sK0(sK1),-1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_171])]) ).
tff(f7848,plain,
( ! [X14: $int,X15: $int] :
( ( 2 != div1(X14,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum($sum(1,abs1(X15)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,X14)
| ( mod1(X14,power1(2,$sum(sK0(sK1),-1))) != -1 ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7822]) ).
tff(f7822,plain,
( ! [X14: $int,X15: $int] :
( ( 2 != div1(X14,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum($sum(1,abs1(X15)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( mod1(X14,power1(2,$sum(sK0(sK1),-1))) != -1 )
| $less(0,X14)
| ( sK1 != sK1 ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f679,f6353]) ).
tff(f679,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( sK1 != $product(X0,div1(X2,X0)) )
| $less(0,X2)
| ( mod1(X2,X0) != -1 )
| $less(0,$sum($sum(1,abs1(X1)),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f639]) ).
tff(f639,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,X2)
| ( mod1(X2,X0) != -1 )
| $less(X0,$sum(1,abs1(X1)))
| ( sK1 != $product(X0,div1(X2,X0)) ) )
| ~ spl3_3 ),
inference(superposition,[],[f355,f401]) ).
tff(f355,plain,
! [X0: $int] : $less(0,$sum(1,abs1(X0))),
inference(evaluation,[],[f284]) ).
tff(f284,plain,
! [X0: $int] : ~ $less(abs1(X0),0),
inference(cnf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0: $int] : ~ $less(abs1(X0),0),
inference(rectify,[],[f70]) ).
tff(f70,plain,
! [X1: $int] : ~ $less(abs1(X1),0),
inference(theory_normalization,[],[f11]) ).
tff(f11,axiom,
! [X1: $int] : $lesseq(0,abs1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_pos) ).
tff(f7863,plain,
( spl3_170
| spl3_168
| ~ spl3_3
| ~ spl3_4
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7849,f6351,f386,f379,f7853,f7860]) ).
tff(f7849,plain,
( ! [X13: $int] :
( $less(0,X13)
| ( 2 != div1(X13,power1(2,$sum(sK0(sK1),-1))) )
| ( mod1(X13,power1(2,$sum(sK0(sK1),-1))) != -1 )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(power1(2,$sum(sK0(sK1),-1))))) )
| ~ spl3_3
| ~ spl3_4
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7821]) ).
tff(f7821,plain,
( ! [X13: $int] :
( $less(0,$sum($sum(1,sK0(sK1)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( 2 != div1(X13,power1(2,$sum(sK0(sK1),-1))) )
| ( sK1 != sK1 )
| $less(0,X13)
| ( mod1(X13,power1(2,$sum(sK0(sK1),-1))) != -1 ) )
| ~ spl3_3
| ~ spl3_4
| ~ spl3_111 ),
inference(constrained_superposition,[],[f673,f6353]) ).
tff(f673,plain,
( ! [X0: $int,X1: $int] :
( $less(0,X1)
| ( sK1 != $product(X0,div1(X1,X0)) )
| ( mod1(X1,X0) != -1 )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(evaluation,[],[f664]) ).
tff(f664,plain,
( ! [X0: $int,X1: $int] :
( $less(0,X1)
| ( mod1(X1,X0) != -1 )
| ( sK1 != $product(X0,div1(X1,X0)) )
| $less(X0,$sum(1,sK0(sK1))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(superposition,[],[f388,f401]) ).
tff(f7858,plain,
( spl3_168
| spl3_169
| ~ spl3_3
| ~ spl3_111 ),
inference(avatar_split_clause,[],[f7850,f6351,f379,f7856,f7853]) ).
tff(f7856,plain,
( spl3_169
<=> ! [X17: $int] :
( $less(0,$sum($sum(1,sK0(X17)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ~ is_power_of_21(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_169])]) ).
tff(f7850,plain,
( ! [X16: $int,X17: $int] :
( $less(0,$sum($sum(1,sK0(X17)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( mod1(X16,power1(2,$sum(sK0(sK1),-1))) != -1 )
| ~ is_power_of_21(X17)
| $less(0,X16)
| ( 2 != div1(X16,power1(2,$sum(sK0(sK1),-1))) ) )
| ~ spl3_3
| ~ spl3_111 ),
inference(trivial_inequality_removal,[],[f7823]) ).
tff(f7823,plain,
( ! [X16: $int,X17: $int] :
( ( sK1 != sK1 )
| ( 2 != div1(X16,power1(2,$sum(sK0(sK1),-1))) )
| ( mod1(X16,power1(2,$sum(sK0(sK1),-1))) != -1 )
| $less(0,$sum($sum(1,sK0(X17)),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ~ is_power_of_21(X17)
| $less(0,X16) )
| ~ spl3_3
| ~ spl3_111 ),
inference(constrained_superposition,[],[f680,f6353]) ).
tff(f680,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ~ is_power_of_21(X1)
| ( sK1 != $product(X0,div1(X2,X0)) )
| $less(0,X2)
| ( mod1(X2,X0) != -1 )
| $less(0,$sum($sum(1,sK0(X1)),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f609]) ).
tff(f609,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,X2)
| ( mod1(X2,X0) != -1 )
| $less(X0,$sum(1,sK0(X1)))
| ( sK1 != $product(X0,div1(X2,X0)) )
| ~ is_power_of_21(X1) )
| ~ spl3_3 ),
inference(superposition,[],[f340,f401]) ).
tff(f7761,plain,
( spl3_167
| spl3_159
| spl3_154 ),
inference(avatar_split_clause,[],[f7757,f7188,f7210,f7759]) ).
tff(f7759,plain,
( spl3_167
<=> ! [X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus($sum(0,$uminus($product(sK1,X1))))))
| ( mod1($sum(0,$uminus($product(sK1,X1))),sK1) != -1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_167])]) ).
tff(f7188,plain,
( spl3_154
<=> ( mod1(0,sK1) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_154])]) ).
tff(f7757,plain,
( ! [X1: $int] :
( $less(0,$sum(1,$uminus(sK1)))
| $less(0,$sum(0,$uminus(X1)))
| ( mod1($sum(0,$uminus($product(sK1,X1))),sK1) != -1 )
| $less(0,$sum(0,$uminus($sum(0,$uminus($product(sK1,X1)))))) )
| spl3_154 ),
inference(gaussian_variable_elimination,[],[f7753]) ).
tff(f7753,plain,
( ! [X2: $int,X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(1,$uminus(sK1)))
| ( 0 != $sum($product(sK1,X1),X2) )
| ( -1 != mod1(X2,sK1) ) )
| spl3_154 ),
inference(constrained_superposition,[],[f7190,f354]) ).
tff(f7190,plain,
( ( mod1(0,sK1) != -1 )
| spl3_154 ),
inference(avatar_component_clause,[],[f7188]) ).
tff(f7730,plain,
( spl3_133
| ~ spl3_163
| spl3_166
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7258,f6345,f379,f7728,f7708,f7050]) ).
tff(f7050,plain,
( spl3_133
<=> ( 0 = power1(2,$sum(sK0(sK1),0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_133])]) ).
tff(f7708,plain,
( spl3_163
<=> ( sK1 = $sum(sK1,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_163])]) ).
tff(f7728,plain,
( spl3_166
<=> ! [X2: $int,X0: $int] :
( $less(0,X0)
| ( 1 != div1(X0,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum(mod1(X2,$uminus(mod1(X0,power1(2,$sum(sK0(sK1),0))))),abs1($uminus(mod1(X0,power1(2,$sum(sK0(sK1),0))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_166])]) ).
tff(f7258,plain,
( ! [X2: $int,X0: $int] :
( $less(0,X0)
| $less(0,$sum(mod1(X2,$uminus(mod1(X0,power1(2,$sum(sK0(sK1),0))))),abs1($uminus(mod1(X0,power1(2,$sum(sK0(sK1),0)))))))
| ( sK1 != $sum(sK1,-1) )
| ( 1 != div1(X0,power1(2,$sum(sK0(sK1),0))) )
| ( 0 = power1(2,$sum(sK0(sK1),0)) ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f503,f6347]) ).
tff(f7725,plain,
( ~ spl3_163
| spl3_165
| ~ spl3_3
| spl3_14
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7721,f7038,f472,f379,f7723,f7708]) ).
tff(f7723,plain,
( spl3_165
<=> ! [X0: $int,X3: $int] :
( ( 1 != div1(X0,sK1) )
| $less(0,$sum(mod1(X3,$uminus(mod1(X0,sK1))),abs1($uminus(mod1(X0,sK1)))))
| $less(0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_165])]) ).
tff(f7721,plain,
( ! [X3: $int,X0: $int] :
( ( 1 != div1(X0,sK1) )
| $less(0,X0)
| $less(0,$sum(mod1(X3,$uminus(mod1(X0,sK1))),abs1($uminus(mod1(X0,sK1)))))
| ( sK1 != $sum(sK1,-1) ) )
| ~ spl3_3
| spl3_14
| ~ spl3_130 ),
inference(subsumption_resolution,[],[f7259,f474]) ).
tff(f7259,plain,
( ! [X3: $int,X0: $int] :
( $less(0,X0)
| ( 0 = sK1 )
| ( sK1 != $sum(sK1,-1) )
| $less(0,$sum(mod1(X3,$uminus(mod1(X0,sK1))),abs1($uminus(mod1(X0,sK1)))))
| ( 1 != div1(X0,sK1) ) )
| ~ spl3_3
| ~ spl3_130 ),
inference(constrained_superposition,[],[f503,f7040]) ).
tff(f7714,plain,
( ~ spl3_163
| spl3_164
| ~ spl3_3
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f7630,f446,f379,f7712,f7708]) ).
tff(f7712,plain,
( spl3_164
<=> ! [X9: $int,X8: $int] :
( $less(0,$sum(mod1(X9,$uminus(mod1(X8,2))),abs1($uminus(mod1(X8,2)))))
| ( sK0(div1(X8,2)) != $sum(sK0(sK1),-1) )
| $less(0,X8)
| ~ is_power_of_21(div1(X8,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_164])]) ).
tff(f7630,plain,
( ! [X8: $int,X9: $int] :
( $less(0,$sum(mod1(X9,$uminus(mod1(X8,2))),abs1($uminus(mod1(X8,2)))))
| ~ is_power_of_21(div1(X8,2))
| $less(0,X8)
| ( sK0(div1(X8,2)) != $sum(sK0(sK1),-1) )
| ( sK1 != $sum(sK1,-1) ) )
| ~ spl3_3
| ~ spl3_10 ),
inference(evaluation,[],[f7260]) ).
tff(f7260,plain,
( ! [X8: $int,X9: $int] :
( ( sK1 != $sum(sK1,-1) )
| $less(0,X8)
| ( 0 = 2 )
| $less(0,$sum(mod1(X9,$uminus(mod1(X8,2))),abs1($uminus(mod1(X8,2)))))
| ( sK0(div1(X8,2)) != $sum(sK0(sK1),-1) )
| ~ is_power_of_21(div1(X8,2)) )
| ~ spl3_3
| ~ spl3_10 ),
inference(superposition,[],[f503,f1049]) ).
tff(f7706,plain,
( spl3_162
| spl3_16
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f7702,f379,f522,f7704]) ).
tff(f7704,plain,
( spl3_162
<=> ! [X0: $int,X1: $int] :
( ( 1 != $uminus(mod1(X0,X1)) )
| ( $product(X1,div1(X0,X1)) != $sum(sK1,-1) )
| ( 0 = X1 )
| $less(0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_162])]) ).
tff(f7702,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(0,abs1(1)))
| ( 1 != $uminus(mod1(X0,X1)) )
| $less(0,X0)
| ( 0 = X1 )
| ( $product(X1,div1(X0,X1)) != $sum(sK1,-1) ) )
| ~ spl3_3 ),
inference(inner_rewriting,[],[f7235]) ).
tff(f7235,plain,
( ! [X0: $int,X1: $int] :
( ( $product(X1,div1(X0,X1)) != $sum(sK1,-1) )
| $less(0,$sum(0,abs1($uminus(mod1(X0,X1)))))
| ( 1 != $uminus(mod1(X0,X1)) )
| ( 0 = X1 )
| $less(0,X0) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f503,f259]) ).
tff(f7222,plain,
( spl3_159
| spl3_161
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7154,f7038,f7220,f7210]) ).
tff(f7220,plain,
( spl3_161
<=> ! [X25: $int] :
( ( div1($sum(sK1,X25),sK1) = $sum(1,div1(X25,sK1)) )
| $less(0,$sum(0,$uminus(X25))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_161])]) ).
tff(f7154,plain,
( ! [X25: $int] :
( ( div1($sum(sK1,X25),sK1) = $sum(1,div1(X25,sK1)) )
| $less(0,$sum(0,$uminus(X25)))
| $less(0,$sum(1,$uminus(sK1))) )
| ~ spl3_130 ),
inference(evaluation,[],[f7151]) ).
tff(f7151,plain,
( ! [X25: $int] :
( ( div1($sum(sK1,X25),sK1) = $sum(1,div1(X25,sK1)) )
| $less(0,$sum(0,$uminus(X25)))
| $less(0,$sum(0,$uminus(1)))
| $less(0,$sum(1,$uminus(sK1))) )
| ~ spl3_130 ),
inference(superposition,[],[f356,f7040]) ).
tff(f7216,plain,
( spl3_159
| spl3_160
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7159,f7038,f7214,f7210]) ).
tff(f7214,plain,
( spl3_160
<=> ! [X26: $int] :
( $less(0,$sum(0,$uminus(X26)))
| ( mod1($sum(sK1,X26),sK1) = mod1(X26,sK1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_160])]) ).
tff(f7159,plain,
( ! [X26: $int] :
( $less(0,$sum(0,$uminus(X26)))
| ( mod1($sum(sK1,X26),sK1) = mod1(X26,sK1) )
| $less(0,$sum(1,$uminus(sK1))) )
| ~ spl3_130 ),
inference(evaluation,[],[f7152]) ).
tff(f7152,plain,
( ! [X26: $int] :
( $less(0,$sum(0,$uminus(X26)))
| $less(0,$sum(1,$uminus(sK1)))
| $less(0,$sum(0,$uminus(1)))
| ( mod1($sum(sK1,X26),sK1) = mod1(X26,sK1) ) )
| ~ spl3_130 ),
inference(superposition,[],[f354,f7040]) ).
tff(f7208,plain,
( spl3_157
| spl3_158
| spl3_156
| ~ spl3_3
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7145,f7038,f379,f7197,f7205,f7201]) ).
tff(f7201,plain,
( spl3_157
<=> $less(0,$sum($sum(sK1,-1),abs1(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_157])]) ).
tff(f7205,plain,
( spl3_158
<=> $less(0,$sum(1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_158])]) ).
tff(f7197,plain,
( spl3_156
<=> ! [X4: $int] :
( ( 1 != div1(X4,sK1) )
| ( $sum(sK1,mod1(X4,sK1)) = X4 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_156])]) ).
tff(f7145,plain,
( ! [X20: $int] :
( ( 1 != div1(X20,sK1) )
| $less(0,$sum(1,sK1))
| ( $sum(sK1,mod1(X20,sK1)) = X20 )
| $less(0,$sum($sum(sK1,-1),abs1(sK1))) )
| ~ spl3_3
| ~ spl3_130 ),
inference(constrained_superposition,[],[f774,f7040]) ).
tff(f7199,plain,
( spl3_155
| spl3_156
| ~ spl3_4
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7136,f7038,f386,f7197,f7193]) ).
tff(f7193,plain,
( spl3_155
<=> $less(0,$sum($sum(1,sK0(sK1)),$uminus(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_155])]) ).
tff(f7136,plain,
( ! [X4: $int] :
( ( 1 != div1(X4,sK1) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(sK1)))
| ( $sum(sK1,mod1(X4,sK1)) = X4 ) )
| ~ spl3_4
| ~ spl3_130 ),
inference(constrained_superposition,[],[f417,f7040]) ).
tff(f7191,plain,
( ~ spl3_153
| ~ spl3_154
| ~ spl3_3
| spl3_14
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7182,f7038,f472,f379,f7188,f7184]) ).
tff(f7184,plain,
( spl3_153
<=> ( 1 = div1(0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_153])]) ).
tff(f7182,plain,
( ( mod1(0,sK1) != -1 )
| ( 1 != div1(0,sK1) )
| ~ spl3_3
| spl3_14
| ~ spl3_130 ),
inference(subsumption_resolution,[],[f7162,f474]) ).
tff(f7162,plain,
( ( 0 = sK1 )
| ( 1 != div1(0,sK1) )
| ( mod1(0,sK1) != -1 )
| ~ spl3_3
| ~ spl3_130 ),
inference(trivial_inequality_removal,[],[f7147]) ).
tff(f7147,plain,
( ( sK1 != sK1 )
| ( mod1(0,sK1) != -1 )
| ( 1 != div1(0,sK1) )
| ( 0 = sK1 )
| ~ spl3_3
| ~ spl3_130 ),
inference(constrained_superposition,[],[f574,f7040]) ).
tff(f7179,plain,
( spl3_152
| spl3_150
| ~ spl3_3
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7166,f7038,f379,f7169,f7177]) ).
tff(f7177,plain,
( spl3_152
<=> ! [X12: $int] : $less(0,$sum($sum(1,abs1(X12)),$uminus(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_152])]) ).
tff(f7169,plain,
( spl3_150
<=> ! [X19: $int] :
( $less(0,X19)
| ( mod1(X19,sK1) != -1 )
| ( 1 != div1(X19,sK1) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_150])]) ).
tff(f7166,plain,
( ! [X11: $int,X12: $int] :
( ( mod1(X11,sK1) != -1 )
| ( 1 != div1(X11,sK1) )
| $less(0,$sum($sum(1,abs1(X12)),$uminus(sK1)))
| $less(0,X11) )
| ~ spl3_3
| ~ spl3_130 ),
inference(trivial_inequality_removal,[],[f7140]) ).
tff(f7140,plain,
( ! [X11: $int,X12: $int] :
( $less(0,$sum($sum(1,abs1(X12)),$uminus(sK1)))
| ( 1 != div1(X11,sK1) )
| ( mod1(X11,sK1) != -1 )
| ( sK1 != sK1 )
| $less(0,X11) )
| ~ spl3_3
| ~ spl3_130 ),
inference(constrained_superposition,[],[f679,f7040]) ).
tff(f7175,plain,
( spl3_150
| spl3_151
| ~ spl3_3
| ~ spl3_130 ),
inference(avatar_split_clause,[],[f7167,f7038,f379,f7172,f7169]) ).
tff(f7172,plain,
( spl3_151
<=> $less(0,$sum($sum(sK1,-1),$uminus(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_151])]) ).
tff(f7167,plain,
( ! [X19: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(sK1)))
| $less(0,X19)
| ( 1 != div1(X19,sK1) )
| ( mod1(X19,sK1) != -1 ) )
| ~ spl3_3
| ~ spl3_130 ),
inference(trivial_inequality_removal,[],[f7144]) ).
tff(f7144,plain,
( ! [X19: $int] :
( ( 1 != div1(X19,sK1) )
| ( mod1(X19,sK1) != -1 )
| ( sK1 != sK1 )
| $less(0,$sum($sum(sK1,-1),$uminus(sK1)))
| $less(0,X19) )
| ~ spl3_3
| ~ spl3_130 ),
inference(constrained_superposition,[],[f758,f7040]) ).
tff(f758,plain,
( ! [X0: $int,X1: $int] :
( ( mod1(X1,X0) != -1 )
| ( sK1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) )
| ~ spl3_3 ),
inference(evaluation,[],[f663]) ).
tff(f663,plain,
( ! [X0: $int,X1: $int] :
( ( mod1(X1,X0) != -1 )
| ( sK1 != $product(X0,div1(X1,X0)) )
| $less(X0,$sum(sK1,-1))
| $less(0,X1) )
| ~ spl3_3 ),
inference(superposition,[],[f381,f401]) ).
tff(f7131,plain,
( spl3_128
| spl3_149
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7013,f6345,f379,f7129,f7031]) ).
tff(f7031,plain,
( spl3_128
<=> ! [X18: $int] :
( ( 1 != div1(X18,power1(2,$sum(sK0(sK1),0))) )
| ( mod1(X18,power1(2,$sum(sK0(sK1),0))) != -1 )
| $less(0,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_128])]) ).
tff(f7129,plain,
( spl3_149
<=> ! [X15: $int] :
( $less(0,$sum($sum(1,sK0(X15)),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ~ is_power_of_21(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_149])]) ).
tff(f7013,plain,
( ! [X14: $int,X15: $int] :
( $less(0,$sum($sum(1,sK0(X15)),$uminus(power1(2,$sum(sK0(sK1),0)))))
| $less(0,X14)
| ~ is_power_of_21(X15)
| ( 1 != div1(X14,power1(2,$sum(sK0(sK1),0))) )
| ( mod1(X14,power1(2,$sum(sK0(sK1),0))) != -1 ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f7000]) ).
tff(f7000,plain,
( ! [X14: $int,X15: $int] :
( $less(0,$sum($sum(1,sK0(X15)),$uminus(power1(2,$sum(sK0(sK1),0)))))
| $less(0,X14)
| ( 1 != div1(X14,power1(2,$sum(sK0(sK1),0))) )
| ~ is_power_of_21(X15)
| ( sK1 != sK1 )
| ( mod1(X14,power1(2,$sum(sK0(sK1),0))) != -1 ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f680,f6347]) ).
tff(f7125,plain,
( spl3_148
| spl3_128
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7016,f6345,f379,f7031,f7123]) ).
tff(f7123,plain,
( spl3_148
<=> ! [X13: $int] : $less(0,$sum($sum(1,abs1(X13)),$uminus(power1(2,$sum(sK0(sK1),0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_148])]) ).
tff(f7016,plain,
( ! [X12: $int,X13: $int] :
( $less(0,X12)
| ( 1 != div1(X12,power1(2,$sum(sK0(sK1),0))) )
| ( -1 != mod1(X12,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum($sum(1,abs1(X13)),$uminus(power1(2,$sum(sK0(sK1),0))))) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f6999]) ).
tff(f6999,plain,
( ! [X12: $int,X13: $int] :
( ( sK1 != sK1 )
| $less(0,X12)
| ( -1 != mod1(X12,power1(2,$sum(sK0(sK1),0))) )
| ( 1 != div1(X12,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum($sum(1,abs1(X13)),$uminus(power1(2,$sum(sK0(sK1),0))))) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f679,f6347]) ).
tff(f7121,plain,
( spl3_146
| spl3_128
| ~ spl3_3
| ~ spl3_4
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7017,f6345,f386,f379,f7031,f7110]) ).
tff(f7110,plain,
( spl3_146
<=> $less(0,$sum($sum(1,sK0(sK1)),$uminus(power1(2,$sum(sK0(sK1),0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_146])]) ).
tff(f7017,plain,
( ! [X11: $int] :
( ( 1 != div1(X11,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( -1 != mod1(X11,power1(2,$sum(sK0(sK1),0))) )
| $less(0,X11) )
| ~ spl3_3
| ~ spl3_4
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f6998]) ).
tff(f6998,plain,
( ! [X11: $int] :
( ( 1 != div1(X11,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( sK1 != sK1 )
| $less(0,X11)
| ( -1 != mod1(X11,power1(2,$sum(sK0(sK1),0))) ) )
| ~ spl3_3
| ~ spl3_4
| ~ spl3_110 ),
inference(constrained_superposition,[],[f673,f6347]) ).
tff(f7119,plain,
( ~ spl3_147
| spl3_12
| ~ spl3_63
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7114,f6345,f2854,f455,f7116]) ).
tff(f7116,plain,
( spl3_147
<=> ( $product(sK0(sK1),0) = $sum(sK0(sK1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_147])]) ).
tff(f455,plain,
( spl3_12
<=> ( 1 = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
tff(f7114,plain,
( ( $product(sK0(sK1),0) != $sum(sK0(sK1),0) )
| spl3_12
| ~ spl3_63
| ~ spl3_110 ),
inference(subsumption_resolution,[],[f7020,f456]) ).
tff(f456,plain,
( ( 1 != sK1 )
| spl3_12 ),
inference(avatar_component_clause,[],[f455]) ).
tff(f7020,plain,
( ( 1 = sK1 )
| ( $product(sK0(sK1),0) != $sum(sK0(sK1),0) )
| ~ spl3_63
| ~ spl3_110 ),
inference(evaluation,[],[f6986]) ).
tff(f6986,plain,
( ( $product(sK0(sK1),0) != $sum(sK0(sK1),0) )
| ( sK1 = $product(1,1) )
| ~ spl3_63
| ~ spl3_110 ),
inference(constrained_superposition,[],[f6347,f2856]) ).
tff(f7113,plain,
( spl3_146
| spl3_134
| ~ spl3_4
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f6995,f6345,f386,f7055,f7110]) ).
tff(f7055,plain,
( spl3_134
<=> ! [X4: $int] :
( ( $sum(sK1,mod1(X4,power1(2,$sum(sK0(sK1),0)))) = X4 )
| ( 1 != div1(X4,power1(2,$sum(sK0(sK1),0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_134])]) ).
tff(f6995,plain,
( ! [X5: $int] :
( ( $sum(sK1,mod1(X5,power1(2,$sum(sK0(sK1),0)))) = X5 )
| ( 1 != div1(X5,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(power1(2,$sum(sK0(sK1),0))))) )
| ~ spl3_4
| ~ spl3_110 ),
inference(constrained_superposition,[],[f417,f6347]) ).
tff(f7108,plain,
( spl3_144
| spl3_134
| spl3_145
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7004,f6345,f379,f7105,f7055,f7101]) ).
tff(f7101,plain,
( spl3_144
<=> $less(0,$sum(1,power1(2,$sum(sK0(sK1),0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_144])]) ).
tff(f7105,plain,
( spl3_145
<=> $less(0,$sum($sum(sK1,-1),abs1(power1(2,$sum(sK0(sK1),0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_145])]) ).
tff(f7004,plain,
( ! [X21: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(power1(2,$sum(sK0(sK1),0)))))
| ( 1 != div1(X21,power1(2,$sum(sK0(sK1),0))) )
| ( $sum(sK1,mod1(X21,power1(2,$sum(sK0(sK1),0)))) = X21 )
| $less(0,$sum(1,power1(2,$sum(sK0(sK1),0)))) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f774,f6347]) ).
tff(f7099,plain,
( spl3_143
| spl3_128
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7021,f6345,f379,f7031,f7097]) ).
tff(f7097,plain,
( spl3_143
<=> ! [X10: $int] : ( 1 = power1(X10,power1(2,$sum(sK0(sK1),0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_143])]) ).
tff(f7021,plain,
( ! [X10: $int,X9: $int] :
( $less(0,X9)
| ( 1 != div1(X9,power1(2,$sum(sK0(sK1),0))) )
| ( 1 = power1(X10,power1(2,$sum(sK0(sK1),0))) )
| ( mod1(X9,power1(2,$sum(sK0(sK1),0))) != -1 ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f6997]) ).
tff(f6997,plain,
( ! [X10: $int,X9: $int] :
( ( sK1 != sK1 )
| ( 1 != div1(X9,power1(2,$sum(sK0(sK1),0))) )
| ( 1 = power1(X10,power1(2,$sum(sK0(sK1),0))) )
| ( mod1(X9,power1(2,$sum(sK0(sK1),0))) != -1 )
| $less(0,X9) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f596,f6347]) ).
tff(f7095,plain,
( spl3_137
| spl3_142
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7022,f6345,f7093,f7070]) ).
tff(f7093,plain,
( spl3_142
<=> ! [X27: $int] :
( $less(0,$sum(0,$uminus(X27)))
| ( mod1($sum(sK1,X27),power1(2,$sum(sK0(sK1),0))) = mod1(X27,power1(2,$sum(sK0(sK1),0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_142])]) ).
tff(f7022,plain,
( ! [X27: $int] :
( $less(0,$sum(0,$uminus(X27)))
| ( mod1($sum(sK1,X27),power1(2,$sum(sK0(sK1),0))) = mod1(X27,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),0))))) )
| ~ spl3_110 ),
inference(evaluation,[],[f7011]) ).
tff(f7011,plain,
( ! [X27: $int] :
( $less(0,$sum(0,$uminus(1)))
| ( mod1($sum(sK1,X27),power1(2,$sum(sK0(sK1),0))) = mod1(X27,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum(0,$uminus(X27)))
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),0))))) )
| ~ spl3_110 ),
inference(superposition,[],[f354,f6347]) ).
tff(f7090,plain,
( spl3_141
| spl3_128
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7023,f6345,f379,f7031,f7088]) ).
tff(f7088,plain,
( spl3_141
<=> ! [X17: $int] :
( ( $uminus(X17) = abs1(X17) )
| $less(0,$sum($sum(1,X17),$uminus(power1(2,$sum(sK0(sK1),0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_141])]) ).
tff(f7023,plain,
( ! [X16: $int,X17: $int] :
( $less(0,X16)
| ( $uminus(X17) = abs1(X17) )
| ( -1 != mod1(X16,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum($sum(1,X17),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( 1 != div1(X16,power1(2,$sum(sK0(sK1),0))) ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f7001]) ).
tff(f7001,plain,
( ! [X16: $int,X17: $int] :
( ( 1 != div1(X16,power1(2,$sum(sK0(sK1),0))) )
| ( $uminus(X17) = abs1(X17) )
| ( -1 != mod1(X16,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum($sum(1,X17),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( sK1 != sK1 )
| $less(0,X16) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f682,f6347]) ).
tff(f7086,plain,
( ~ spl3_139
| spl3_133
| ~ spl3_140
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7024,f6345,f379,f7083,f7050,f7079]) ).
tff(f7079,plain,
( spl3_139
<=> ( 1 = div1(0,power1(2,$sum(sK0(sK1),0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_139])]) ).
tff(f7024,plain,
( ( mod1(0,power1(2,$sum(sK0(sK1),0))) != -1 )
| ( 0 = power1(2,$sum(sK0(sK1),0)) )
| ( 1 != div1(0,power1(2,$sum(sK0(sK1),0))) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f7006]) ).
tff(f7006,plain,
( ( sK1 != sK1 )
| ( mod1(0,power1(2,$sum(sK0(sK1),0))) != -1 )
| ( 1 != div1(0,power1(2,$sum(sK0(sK1),0))) )
| ( 0 = power1(2,$sum(sK0(sK1),0)) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f574,f6347]) ).
tff(f7077,plain,
( spl3_133
| spl3_134
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f6992,f6345,f7055,f7050]) ).
tff(f6992,plain,
( ! [X2: $int] :
( ( $sum(sK1,mod1(X2,power1(2,$sum(sK0(sK1),0)))) = X2 )
| ( 1 != div1(X2,power1(2,$sum(sK0(sK1),0))) )
| ( 0 = power1(2,$sum(sK0(sK1),0)) ) )
| ~ spl3_110 ),
inference(constrained_superposition,[],[f271,f6347]) ).
tff(f7076,plain,
( spl3_137
| spl3_138
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7025,f6345,f7074,f7070]) ).
tff(f7074,plain,
( spl3_138
<=> ! [X26: $int] :
( $less(0,$sum(0,$uminus(X26)))
| ( div1($sum(sK1,X26),power1(2,$sum(sK0(sK1),0))) = $sum(1,div1(X26,power1(2,$sum(sK0(sK1),0)))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_138])]) ).
tff(f7025,plain,
( ! [X26: $int] :
( $less(0,$sum(0,$uminus(X26)))
| $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( div1($sum(sK1,X26),power1(2,$sum(sK0(sK1),0))) = $sum(1,div1(X26,power1(2,$sum(sK0(sK1),0)))) ) )
| ~ spl3_110 ),
inference(evaluation,[],[f7010]) ).
tff(f7010,plain,
( ! [X26: $int] :
( $less(0,$sum(1,$uminus(power1(2,$sum(sK0(sK1),0)))))
| $less(0,$sum(0,$uminus(1)))
| ( div1($sum(sK1,X26),power1(2,$sum(sK0(sK1),0))) = $sum(1,div1(X26,power1(2,$sum(sK0(sK1),0)))) )
| $less(0,$sum(0,$uminus(X26))) )
| ~ spl3_110 ),
inference(superposition,[],[f356,f6347]) ).
tff(f7068,plain,
( spl3_128
| spl3_133
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7026,f6345,f379,f7050,f7031]) ).
tff(f7026,plain,
( ! [X3: $int] :
( ( 0 = power1(2,$sum(sK0(sK1),0)) )
| ( mod1(X3,power1(2,$sum(sK0(sK1),0))) != -1 )
| $less(0,X3)
| ( 1 != div1(X3,power1(2,$sum(sK0(sK1),0))) ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f6993]) ).
tff(f6993,plain,
( ! [X3: $int] :
( ( sK1 != sK1 )
| ( mod1(X3,power1(2,$sum(sK0(sK1),0))) != -1 )
| $less(0,X3)
| ( 0 = power1(2,$sum(sK0(sK1),0)) )
| ( 1 != div1(X3,power1(2,$sum(sK0(sK1),0))) ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f401,f6347]) ).
tff(f7067,plain,
( spl3_135
| spl3_128
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7027,f6345,f379,f7031,f7058]) ).
tff(f7058,plain,
( spl3_135
<=> $less(0,$sum($sum(sK1,-1),$uminus(power1(2,$sum(sK0(sK1),0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_135])]) ).
tff(f7027,plain,
( ! [X20: $int] :
( $less(0,X20)
| ( mod1(X20,power1(2,$sum(sK0(sK1),0))) != -1 )
| $less(0,$sum($sum(sK1,-1),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( 1 != div1(X20,power1(2,$sum(sK0(sK1),0))) ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f7003]) ).
tff(f7003,plain,
( ! [X20: $int] :
( ( sK1 != sK1 )
| $less(0,X20)
| $less(0,$sum($sum(sK1,-1),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( mod1(X20,power1(2,$sum(sK0(sK1),0))) != -1 )
| ( 1 != div1(X20,power1(2,$sum(sK0(sK1),0))) ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f758,f6347]) ).
tff(f7066,plain,
( spl3_130
| ~ spl3_136
| ~ spl3_5
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f6989,f6345,f391,f7063,f7038]) ).
tff(f7063,plain,
( spl3_136
<=> ( sK0(sK1) = $sum(sK0(sK1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_136])]) ).
tff(f6989,plain,
( ( sK0(sK1) != $sum(sK0(sK1),0) )
| ( sK1 = $product(sK1,1) )
| ~ spl3_5
| ~ spl3_110 ),
inference(constrained_superposition,[],[f6347,f393]) ).
tff(f7061,plain,
( spl3_134
| spl3_135
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f6994,f6345,f379,f7058,f7055]) ).
tff(f6994,plain,
( ! [X4: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( $sum(sK1,mod1(X4,power1(2,$sum(sK0(sK1),0)))) = X4 )
| ( 1 != div1(X4,power1(2,$sum(sK0(sK1),0))) ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f403,f6347]) ).
tff(f7053,plain,
( spl3_132
| spl3_133
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7028,f6345,f379,f7050,f7047]) ).
tff(f7047,plain,
( spl3_132
<=> ! [X6: $int,X7: $int,X8: $int] :
( $less(0,$sum(X6,$uminus(X7)))
| $less(0,$sum(mod1(X8,X7),abs1(X7)))
| ( 1 != div1(X6,power1(2,$sum(sK0(sK1),0))) )
| ( -1 != mod1(X6,power1(2,$sum(sK0(sK1),0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_132])]) ).
tff(f7028,plain,
( ! [X8: $int,X6: $int,X7: $int] :
( ( 0 = power1(2,$sum(sK0(sK1),0)) )
| $less(0,$sum(X6,$uminus(X7)))
| ( -1 != mod1(X6,power1(2,$sum(sK0(sK1),0))) )
| ( 1 != div1(X6,power1(2,$sum(sK0(sK1),0))) )
| $less(0,$sum(mod1(X8,X7),abs1(X7))) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f6996]) ).
tff(f6996,plain,
( ! [X8: $int,X6: $int,X7: $int] :
( ( 0 = power1(2,$sum(sK0(sK1),0)) )
| $less(0,$sum(X6,$uminus(X7)))
| $less(0,$sum(mod1(X8,X7),abs1(X7)))
| ( 1 != div1(X6,power1(2,$sum(sK0(sK1),0))) )
| ( sK1 != sK1 )
| ( -1 != mod1(X6,power1(2,$sum(sK0(sK1),0))) ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f483,f6347]) ).
tff(f7045,plain,
( spl3_130
| ~ spl3_131
| ~ spl3_64
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f6987,f6345,f2860,f7042,f7038]) ).
tff(f7042,plain,
( spl3_131
<=> ( $sum(sK0(sK1),0) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_131])]) ).
tff(f6987,plain,
( ( $sum(sK0(sK1),0) != $product(sK0(sK1),1) )
| ( sK1 = $product(sK1,1) )
| ~ spl3_64
| ~ spl3_110 ),
inference(constrained_superposition,[],[f6347,f2862]) ).
tff(f7036,plain,
( spl3_128
| spl3_129
| ~ spl3_3
| ~ spl3_110 ),
inference(avatar_split_clause,[],[f7029,f6345,f379,f7034,f7031]) ).
tff(f7034,plain,
( spl3_129
<=> ! [X19: $int] :
( $less(0,$sum($sum(power1(2,$sum(sK0(sK1),0)),$uminus(X19)),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( abs1(X19) = X19 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_129])]) ).
tff(f7029,plain,
( ! [X18: $int,X19: $int] :
( $less(0,$sum($sum(power1(2,$sum(sK0(sK1),0)),$uminus(X19)),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( 1 != div1(X18,power1(2,$sum(sK0(sK1),0))) )
| $less(0,X18)
| ( abs1(X19) = X19 )
| ( mod1(X18,power1(2,$sum(sK0(sK1),0))) != -1 ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(trivial_inequality_removal,[],[f7002]) ).
tff(f7002,plain,
( ! [X18: $int,X19: $int] :
( $less(0,X18)
| ( 1 != div1(X18,power1(2,$sum(sK0(sK1),0))) )
| ( mod1(X18,power1(2,$sum(sK0(sK1),0))) != -1 )
| $less(0,$sum($sum(power1(2,$sum(sK0(sK1),0)),$uminus(X19)),$uminus(power1(2,$sum(sK0(sK1),0)))))
| ( abs1(X19) = X19 )
| ( sK1 != sK1 ) )
| ~ spl3_3
| ~ spl3_110 ),
inference(constrained_superposition,[],[f742,f6347]) ).
tff(f6938,plain,
( spl3_16
| spl3_127
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f6823,f379,f6936,f522]) ).
tff(f6936,plain,
( spl3_127
<=> ! [X2: $int,X1: $int] :
( ( mod1(X1,X2) != -1 )
| ( 0 = X2 )
| ( sK1 != $product(X2,div1(X1,X2)) )
| $less(0,$sum(X1,-1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_127])]) ).
tff(f6823,plain,
( ! [X2: $int,X1: $int] :
( ( mod1(X1,X2) != -1 )
| $less(0,$sum(X1,-1))
| $less(0,$sum(0,abs1(1)))
| ( sK1 != $product(X2,div1(X1,X2)) )
| ( 0 = X2 ) )
| ~ spl3_3 ),
inference(evaluation,[],[f6502]) ).
tff(f6502,plain,
( ! [X2: $int,X1: $int] :
( ( 0 = X2 )
| ( mod1(X1,X2) != -1 )
| $less(0,$sum(X1,$uminus(1)))
| ( sK1 != $product(X2,div1(X1,X2)) )
| $less(0,$sum(0,abs1(1))) )
| ~ spl3_3 ),
inference(superposition,[],[f483,f259]) ).
tff(f6456,plain,
( spl3_125
| spl3_56
| ~ spl3_1
| spl3_54 ),
inference(avatar_split_clause,[],[f6428,f2419,f369,f2443,f6450]) ).
tff(f6450,plain,
( spl3_125
<=> ! [X0: $int] : $less(0,$sum(sK1,$uminus(mod1(X0,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_125])]) ).
tff(f6428,plain,
( ! [X3: $int] :
( $less(0,$sum(0,$uminus(sK1)))
| $less(0,$sum(sK1,$uminus(mod1(X3,sK1)))) )
| ~ spl3_1
| spl3_54 ),
inference(superposition,[],[f6151,f346]) ).
tff(f6455,plain,
( spl3_125
| spl3_126
| ~ spl3_1
| ~ spl3_3
| spl3_54 ),
inference(avatar_split_clause,[],[f6427,f2419,f379,f369,f6453,f6450]) ).
tff(f6427,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(X2,$uminus(sK1)),$uminus(X2)))
| ( sK1 != $product(X2,div1(X1,X2)) )
| $less(0,X1)
| ( mod1(X1,X2) != -1 )
| $less(0,$sum(sK1,$uminus(mod1(X0,sK1)))) )
| ~ spl3_1
| ~ spl3_3
| spl3_54 ),
inference(superposition,[],[f6151,f742]) ).
tff(f6418,plain,
( spl3_123
| spl3_124
| spl3_86
| ~ spl3_5
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f6200,f2860,f391,f3497,f6415,f6411]) ).
tff(f6411,plain,
( spl3_123
<=> ( $product(power1(2,$sum(sK0(sK1),$uminus($product(sK0(sK1),1)))),sK1) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_123])]) ).
tff(f6415,plain,
( spl3_124
<=> $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus($product(sK0(sK1),1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_124])]) ).
tff(f3497,plain,
( spl3_86
<=> $less(0,$sum(0,$uminus($product(sK0(sK1),1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).
tff(f6200,plain,
( $less(0,$sum(0,$uminus($product(sK0(sK1),1))))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus($product(sK0(sK1),1))))))
| ( $product(power1(2,$sum(sK0(sK1),$uminus($product(sK0(sK1),1)))),sK1) = sK1 )
| ~ spl3_5
| ~ spl3_64 ),
inference(superposition,[],[f427,f2862]) ).
tff(f427,plain,
( ! [X2: $int] :
( ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus(X2))),power1(2,X2)) )
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(X2))))) )
| ~ spl3_5 ),
inference(gaussian_variable_elimination,[],[f421]) ).
tff(f421,plain,
( ! [X2: $int,X0: $int] :
( ( sK1 = $product(power1(2,X0),power1(2,X2)) )
| ( sK0(sK1) != $sum(X0,X2) )
| $less(0,$sum(0,$uminus(X0)))
| $less(0,$sum(0,$uminus(X2))) )
| ~ spl3_5 ),
inference(constrained_superposition,[],[f393,f365]) ).
tff(f6409,plain,
( spl3_120
| spl3_121
| spl3_122
| ~ spl3_5
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f6258,f2860,f391,f6406,f6402,f6398]) ).
tff(f6398,plain,
( spl3_120
<=> ( sK1 = $product(sK1,power1(2,$uminus($sum($product(sK0(sK1),1),$uminus(sK0(sK1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_120])]) ).
tff(f6402,plain,
( spl3_121
<=> $less(0,$sum(0,$uminus($sum(sK0(sK1),$sum($product(sK0(sK1),1),$uminus(sK0(sK1))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_121])]) ).
tff(f6406,plain,
( spl3_122
<=> $less(0,$sum(0,$sum($product(sK0(sK1),1),$uminus(sK0(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_122])]) ).
tff(f6258,plain,
( $less(0,$sum(0,$sum($product(sK0(sK1),1),$uminus(sK0(sK1)))))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$sum($product(sK0(sK1),1),$uminus(sK0(sK1)))))))
| ( sK1 = $product(sK1,power1(2,$uminus($sum($product(sK0(sK1),1),$uminus(sK0(sK1)))))) )
| ~ spl3_5
| ~ spl3_64 ),
inference(evaluation,[],[f6257]) ).
tff(f6257,plain,
( $less(0,$sum(0,$uminus($uminus($sum($product(sK0(sK1),1),$uminus(sK0(sK1)))))))
| ( sK1 = $product(sK1,power1(2,$uminus($sum($product(sK0(sK1),1),$uminus(sK0(sK1)))))) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus($uminus($sum($product(sK0(sK1),1),$uminus(sK0(sK1)))))))))
| ~ spl3_5
| ~ spl3_64 ),
inference(gaussian_variable_elimination,[],[f6191]) ).
tff(f6191,plain,
( ! [X0: $int] :
( ( $sum(sK0(sK1),$uminus(X0)) != $product(sK0(sK1),1) )
| $less(0,$sum(0,$uminus(X0)))
| ( sK1 = $product(sK1,power1(2,X0)) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(X0))))) )
| ~ spl3_5
| ~ spl3_64 ),
inference(constrained_superposition,[],[f427,f2862]) ).
tff(f6396,plain,
( spl3_118
| spl3_119
| spl3_65
| ~ spl3_5
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f6199,f2854,f391,f2956,f6393,f6389]) ).
tff(f6389,plain,
( spl3_118
<=> $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus($product(sK0(sK1),0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_118])]) ).
tff(f6393,plain,
( spl3_119
<=> ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus($product(sK0(sK1),0)))),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_119])]) ).
tff(f2956,plain,
( spl3_65
<=> $less(0,$sum(0,$uminus($product(sK0(sK1),0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).
tff(f6199,plain,
( $less(0,$sum(0,$uminus($product(sK0(sK1),0))))
| ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus($product(sK0(sK1),0)))),1) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus($product(sK0(sK1),0))))))
| ~ spl3_5
| ~ spl3_63 ),
inference(superposition,[],[f427,f2856]) ).
tff(f6387,plain,
( spl3_115
| spl3_116
| spl3_117
| ~ spl3_5
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f6275,f2854,f391,f6384,f6380,f6376]) ).
tff(f6376,plain,
( spl3_115
<=> $less(0,$sum(0,$sum($product(sK0(sK1),0),$uminus(sK0(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_115])]) ).
tff(f6380,plain,
( spl3_116
<=> $less(0,$sum(0,$uminus($sum(sK0(sK1),$sum($product(sK0(sK1),0),$uminus(sK0(sK1))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_116])]) ).
tff(f6384,plain,
( spl3_117
<=> ( sK1 = $product(1,power1(2,$uminus($sum($product(sK0(sK1),0),$uminus(sK0(sK1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_117])]) ).
tff(f6275,plain,
( ( sK1 = $product(1,power1(2,$uminus($sum($product(sK0(sK1),0),$uminus(sK0(sK1)))))) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$sum($product(sK0(sK1),0),$uminus(sK0(sK1)))))))
| $less(0,$sum(0,$sum($product(sK0(sK1),0),$uminus(sK0(sK1)))))
| ~ spl3_5
| ~ spl3_63 ),
inference(evaluation,[],[f6274]) ).
tff(f6274,plain,
( $less(0,$sum(0,$uminus($uminus($sum($product(sK0(sK1),0),$uminus(sK0(sK1)))))))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus($uminus($sum($product(sK0(sK1),0),$uminus(sK0(sK1)))))))))
| ( sK1 = $product(1,power1(2,$uminus($sum($product(sK0(sK1),0),$uminus(sK0(sK1)))))) )
| ~ spl3_5
| ~ spl3_63 ),
inference(gaussian_variable_elimination,[],[f6190]) ).
tff(f6190,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(X0)))))
| $less(0,$sum(0,$uminus(X0)))
| ( $product(sK0(sK1),0) != $sum(sK0(sK1),$uminus(X0)) )
| ( sK1 = $product(1,power1(2,X0)) ) )
| ~ spl3_5
| ~ spl3_63 ),
inference(constrained_superposition,[],[f427,f2856]) ).
tff(f6374,plain,
( spl3_113
| spl3_7
| spl3_114
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f6198,f391,f6371,f432,f6367]) ).
tff(f6367,plain,
( spl3_113
<=> $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(sK0(sK1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_113])]) ).
tff(f6198,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus(sK0(sK1)))),sK1) )
| $less(0,$sum(0,$uminus(sK0(sK1))))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(sK0(sK1))))))
| ~ spl3_5 ),
inference(superposition,[],[f427,f393]) ).
tff(f6363,plain,
( spl3_112
| spl3_7
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f6359,f391,f432,f6361]) ).
tff(f6361,plain,
( spl3_112
<=> ! [X6: $int] :
( $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(X6)))))
| $less(0,$sum(0,X6))
| $less(0,$sum(0,$uminus(X6)))
| ( sK1 = $product($product(sK1,power1(2,$uminus(X6))),power1(2,X6)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_112])]) ).
tff(f6359,plain,
( ! [X6: $int] :
( $less(0,$sum(0,$uminus(sK0(sK1))))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(X6)))))
| ( sK1 = $product($product(sK1,power1(2,$uminus(X6))),power1(2,X6)) )
| $less(0,$sum(0,$uminus(X6)))
| $less(0,$sum(0,X6)) )
| ~ spl3_5 ),
inference(forward_demodulation,[],[f6285,f393]) ).
tff(f6285,plain,
( ! [X6: $int] :
( $less(0,$sum(0,X6))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(X6)))))
| ( sK1 = $product($product(power1(2,sK0(sK1)),power1(2,$uminus(X6))),power1(2,X6)) )
| $less(0,$sum(0,$uminus(sK0(sK1))))
| $less(0,$sum(0,$uminus(X6))) )
| ~ spl3_5 ),
inference(evaluation,[],[f6195]) ).
tff(f6195,plain,
( ! [X6: $int] :
( $less(0,$sum(0,$uminus(X6)))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(X6)))))
| $less(0,$sum(0,$uminus($uminus(X6))))
| ( sK1 = $product($product(power1(2,sK0(sK1)),power1(2,$uminus(X6))),power1(2,X6)) )
| $less(0,$sum(0,$uminus(sK0(sK1)))) )
| ~ spl3_5 ),
inference(superposition,[],[f427,f365]) ).
tff(f6355,plain,
( spl3_109
| spl3_110
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f6296,f391,f6345,f6341]) ).
tff(f6341,plain,
( spl3_109
<=> $less(0,$sum(0,$uminus($sum(sK0(sK1),0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_109])]) ).
tff(f6296,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),0)),1) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),0))))
| ~ spl3_5 ),
inference(evaluation,[],[f6202]) ).
tff(f6202,plain,
( $less(0,$sum(0,$uminus(0)))
| ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus(0))),1) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(0)))))
| ~ spl3_5 ),
inference(superposition,[],[f427,f298]) ).
tff(f6354,plain,
( spl3_111
| spl3_11
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f6297,f391,f450,f6351]) ).
tff(f450,plain,
( spl3_11
<=> $less(0,$sum(0,$uminus($sum(sK0(sK1),-1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
tff(f6297,plain,
( $less(0,$sum(0,$uminus($sum(sK0(sK1),-1))))
| ( $product(power1(2,$sum(sK0(sK1),-1)),2) = sK1 )
| ~ spl3_5 ),
inference(evaluation,[],[f6205]) ).
tff(f6205,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus(1))),2) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(1)))))
| $less(0,$sum(0,$uminus(1)))
| ~ spl3_5 ),
inference(superposition,[],[f427,f296]) ).
tff(f296,plain,
! [X0: $int] : ( power1(X0,1) = X0 ),
inference(cnf_transformation,[],[f128]) ).
tff(f128,plain,
! [X0: $int] : ( power1(X0,1) = X0 ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X1: $int] : ( power1(X1,1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_1) ).
tff(f6348,plain,
( spl3_109
| spl3_110
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f6339,f391,f6345,f6341]) ).
tff(f6339,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),0)),1) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),0))))
| ~ spl3_5 ),
inference(forward_demodulation,[],[f6304,f298]) ).
tff(f6304,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),0)),power1(2,0)) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),0))))
| ~ spl3_5 ),
inference(evaluation,[],[f6182]) ).
tff(f6182,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus(0))),power1(2,0)) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(0)))))
| ~ spl3_5 ),
inference(interpreted_simplification,[],[f6181]) ).
tff(f6181,plain,
( ( sK1 = $product(power1(2,$sum(sK0(sK1),$uminus(0))),power1(2,0)) )
| $less(0,$sum(0,$uminus(0)))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(0)))))
| ~ spl3_5 ),
inference(instantiation,[],[f427]) ).
tff(f6338,plain,
( spl3_106
| spl3_107
| spl3_108
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f6306,f391,f6335,f6331,f6327]) ).
tff(f6327,plain,
( spl3_106
<=> $less(0,$sum(0,$uminus($sum(sK0(sK1),$sum(sK0(sK1),$uminus(sK0(sK1))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).
tff(f6331,plain,
( spl3_107
<=> $less(0,$sum(0,$sum(sK0(sK1),$uminus(sK0(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).
tff(f6335,plain,
( spl3_108
<=> ( sK1 = $product(sK1,power1(2,$uminus($sum(sK0(sK1),$uminus(sK0(sK1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_108])]) ).
tff(f6306,plain,
( ( sK1 = $product(sK1,power1(2,$uminus($sum(sK0(sK1),$uminus(sK0(sK1)))))) )
| $less(0,$sum(0,$sum(sK0(sK1),$uminus(sK0(sK1)))))
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$sum(sK0(sK1),$uminus(sK0(sK1)))))))
| ~ spl3_5 ),
inference(evaluation,[],[f6305]) ).
tff(f6305,plain,
( $less(0,$sum(0,$uminus($uminus($sum(sK0(sK1),$uminus(sK0(sK1)))))))
| ( sK1 = $product(sK1,power1(2,$uminus($sum(sK0(sK1),$uminus(sK0(sK1)))))) )
| $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus($uminus($sum(sK0(sK1),$uminus(sK0(sK1)))))))))
| ~ spl3_5 ),
inference(gaussian_variable_elimination,[],[f6193]) ).
tff(f6193,plain,
( ! [X2: $int] :
( $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(X2)))))
| ( sK0(sK1) != $sum(sK0(sK1),$uminus(X2)) )
| $less(0,$sum(0,$uminus(X2)))
| ( sK1 = $product(sK1,power1(2,X2)) ) )
| ~ spl3_5 ),
inference(constrained_superposition,[],[f427,f393]) ).
tff(f6147,plain,
( spl3_104
| spl3_105
| ~ spl3_3
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f6138,f5479,f379,f6145,f6141]) ).
tff(f6145,plain,
( spl3_105
<=> ! [X0: $int,X1: $int] :
( ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,X0)
| $less(0,$sum($sum(X1,$uminus($sum($product(sK0(sK1),0),-1))),$uminus(X1)))
| ( mod1(X0,X1) != -1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).
tff(f6138,plain,
( ! [X0: $int,X1: $int] :
( ( sK1 != $product(X1,div1(X0,X1)) )
| ( mod1(X0,X1) != -1 )
| $less(0,$sum($sum(X1,$uminus($sum($product(sK0(sK1),0),-1))),$uminus(X1)))
| $less(0,$sum(-1,$product(sK0(sK1),0)))
| $less(0,X0) )
| ~ spl3_3
| ~ spl3_99 ),
inference(evaluation,[],[f6127]) ).
tff(f6127,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(0,$sum($product(sK0(sK1),0),-1)))
| ( sK1 != $product(X1,div1(X0,X1)) )
| $less(0,$sum($sum(X1,$uminus($sum($product(sK0(sK1),0),-1))),$uminus(X1)))
| ( mod1(X0,X1) != -1 )
| $less(0,X0) )
| ~ spl3_3
| ~ spl3_99 ),
inference(superposition,[],[f5481,f742]) ).
tff(f5902,plain,
( ~ spl3_101
| ~ spl3_102
| spl3_103
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f5856,f379,f5899,f5895,f5891]) ).
tff(f5891,plain,
( spl3_101
<=> ( mod1(0,0) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).
tff(f5895,plain,
( spl3_102
<=> ( sK1 = $product(0,div1(0,0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_102])]) ).
tff(f5899,plain,
( spl3_103
<=> ( 1 = abs1(-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).
tff(f5856,plain,
( ( 1 = abs1(-1) )
| ( sK1 != $product(0,div1(0,0)) )
| ( mod1(0,0) != -1 )
| ~ spl3_3 ),
inference(evaluation,[],[f5688]) ).
tff(f5688,plain,
( ( sK1 != $product(0,div1(0,0)) )
| ( $uminus(-1) = abs1(-1) )
| ( mod1(0,0) != -1 )
| ~ spl3_3 ),
inference(interpreted_simplification,[],[f5687]) ).
tff(f5687,plain,
( $less(0,0)
| ( $uminus(-1) = abs1(-1) )
| ( mod1(0,0) != -1 )
| ( sK1 != $product(0,div1(0,0)) )
| $less(0,$sum($sum(1,-1),$uminus(0)))
| ~ spl3_3 ),
inference(instantiation,[],[f682]) ).
tff(f5486,plain,
( spl3_99
| spl3_100
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f5457,f2989,f5483,f5479]) ).
tff(f5483,plain,
( spl3_100
<=> $less(0,$product(sK0(sK1),0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).
tff(f2989,plain,
( spl3_71
<=> $less(0,$sum(0,$uminus($sum($product(sK0(sK1),0),-1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).
tff(f5457,plain,
( $less(0,$product(sK0(sK1),0))
| $less(0,$sum(0,abs1($sum($product(sK0(sK1),0),-1))))
| ~ spl3_71 ),
inference(evaluation,[],[f5445]) ).
tff(f5445,plain,
( $less(0,$sum(1,$sum($product(sK0(sK1),0),-1)))
| $less(0,$sum(0,abs1($sum($product(sK0(sK1),0),-1))))
| ~ spl3_71 ),
inference(superposition,[],[f2991,f333]) ).
tff(f2991,plain,
( $less(0,$sum(0,$uminus($sum($product(sK0(sK1),0),-1))))
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f2989]) ).
tff(f5477,plain,
( spl3_97
| spl3_98
| ~ spl3_4
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f5442,f2989,f386,f5474,f5470]) ).
tff(f5470,plain,
( spl3_97
<=> ! [X9: $int] :
( $less(0,$sum(0,$uminus(X9)))
| ( mod1(X9,sK0(sK1)) != -1 )
| ( 0 != div1(X9,sK0(sK1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).
tff(f5474,plain,
( spl3_98
<=> $less(0,$sum($sum(1,sK0(sK1)),$uminus(sK0(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).
tff(f5442,plain,
( ! [X9: $int] :
( $less(0,$sum($sum(1,sK0(sK1)),$uminus(sK0(sK1))))
| ( mod1(X9,sK0(sK1)) != -1 )
| ( 0 != div1(X9,sK0(sK1)) )
| $less(0,$sum(0,$uminus(X9))) )
| ~ spl3_4
| ~ spl3_71 ),
inference(constrained_superposition,[],[f2991,f417]) ).
tff(f5472,plain,
( spl3_96
| spl3_97
| ~ spl3_3
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f5443,f2989,f379,f5470,f5466]) ).
tff(f5466,plain,
( spl3_96
<=> $less(0,$sum($sum(sK1,-1),$uminus(sK0(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).
tff(f5443,plain,
( ! [X9: $int] :
( $less(0,$sum(0,$uminus(X9)))
| ( 0 != div1(X9,sK0(sK1)) )
| ( mod1(X9,sK0(sK1)) != -1 )
| $less(0,$sum($sum(sK1,-1),$uminus(sK0(sK1)))) )
| ~ spl3_3
| ~ spl3_71 ),
inference(constrained_superposition,[],[f2991,f403]) ).
tff(f5429,plain,
( spl3_28
| spl3_95
| ~ spl3_3
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f5360,f446,f379,f5427,f1102]) ).
tff(f1102,plain,
( spl3_28
<=> $less(0,$sum($sum(sK1,-1),$uminus(power1(2,$sum(sK0(sK1),-1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
tff(f5427,plain,
( spl3_95
<=> ! [X0: $int] :
( $less(0,$sum(0,$uminus(X0)))
| $less(0,$sum($sum(X0,1),$uminus(abs1(sK1))))
| ( 2 != div1(X0,power1(2,$sum(sK0(sK1),-1))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).
tff(f5360,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(X0)))
| ( 2 != div1(X0,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum($sum(sK1,-1),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,$sum($sum(X0,1),$uminus(abs1(sK1)))) )
| ~ spl3_3
| ~ spl3_10 ),
inference(constrained_superposition,[],[f1013,f448]) ).
tff(f1013,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X1)))
| $less(0,$sum(0,$uminus(X0)))
| $less(0,$sum($sum(X0,1),$uminus(abs1($product(div1(X0,X1),X1))))) )
| ~ spl3_3 ),
inference(superposition,[],[f407,f346]) ).
tff(f5053,plain,
( spl3_93
| spl3_94
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4944,f379,f5051,f5047]) ).
tff(f5047,plain,
( spl3_93
<=> $less(0,$sum(0,abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).
tff(f5051,plain,
( spl3_94
<=> ! [X1: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X1)))
| $less(0,$sum(1,mod1(-1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).
tff(f4944,plain,
( ! [X1: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X1)))
| $less(0,$sum(1,mod1(-1,X1)))
| $less(0,$sum(0,abs1(-1))) )
| ~ spl3_3 ),
inference(interpreted_simplification,[],[f4943]) ).
tff(f4943,plain,
( ! [X1: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X1)))
| $less(0,$sum(0,abs1(-1)))
| $less(0,$sum(1,-1))
| $less(0,$sum(1,mod1(-1,X1))) )
| ~ spl3_3 ),
inference(instantiation,[],[f951]) ).
tff(f951,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(X1)))
| $less(0,$sum(0,abs1(X0)))
| $less(0,$sum(1,X0))
| $less(0,$sum(1,mod1(X0,X1))) )
| ~ spl3_3 ),
inference(superposition,[],[f402,f333]) ).
tff(f4633,plain,
( spl3_91
| spl3_92
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f4524,f379,f4630,f4626]) ).
tff(f4626,plain,
( spl3_91
<=> $less(0,$sum($sum(sK1,-1),abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_91])]) ).
tff(f4630,plain,
( spl3_92
<=> $less(0,$sum(1,$uminus(mod1(0,-1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).
tff(f4524,plain,
( $less(0,$sum(1,$uminus(mod1(0,-1))))
| $less(0,$sum($sum(sK1,-1),abs1(-1)))
| ~ spl3_3 ),
inference(interpreted_simplification,[],[f4523]) ).
tff(f4523,plain,
( $less(0,$sum(1,-1))
| $less(0,0)
| $less(0,$sum($sum(sK1,-1),abs1(-1)))
| $less(0,$sum(1,$uminus(mod1(0,-1))))
| ~ spl3_3 ),
inference(instantiation,[],[f846]) ).
tff(f4370,plain,
( ~ spl3_55
| spl3_60 ),
inference(avatar_split_clause,[],[f4369,f2737,f2439]) ).
tff(f2439,plain,
( spl3_55
<=> ( $sum(sK0(sK1),-1) = sK0(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).
tff(f2737,plain,
( spl3_60
<=> ( sK0(div1(0,2)) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).
tff(f4369,plain,
( ( $sum(sK0(sK1),-1) != sK0(0) )
| spl3_60 ),
inference(evaluation,[],[f4365]) ).
tff(f4365,plain,
( $less(0,$sum($sum(0,1),$uminus(2)))
| $less(0,$sum(0,$uminus(0)))
| ( $sum(sK0(sK1),-1) != sK0(0) )
| spl3_60 ),
inference(superposition,[],[f2739,f350]) ).
tff(f2739,plain,
( ( sK0(div1(0,2)) != $sum(sK0(sK1),-1) )
| spl3_60 ),
inference(avatar_component_clause,[],[f2737]) ).
tff(f3781,plain,
( spl3_56
| spl3_90
| ~ spl3_1
| spl3_54 ),
inference(avatar_split_clause,[],[f3768,f2419,f369,f3779,f2443]) ).
tff(f3779,plain,
( spl3_90
<=> ! [X0: $int] : $less(0,$sum(mod1(X0,sK1),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_90])]) ).
tff(f3768,plain,
( ! [X0: $int] :
( $less(0,$sum(mod1(X0,sK1),sK1))
| $less(0,$sum(0,$uminus(sK1))) )
| ~ spl3_1
| spl3_54 ),
inference(superposition,[],[f2488,f346]) ).
tff(f3560,plain,
( spl3_89
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f3553,f3459,f3557]) ).
tff(f3553,plain,
( $less(0,sK1)
| ~ spl3_81 ),
inference(evaluation,[],[f3546]) ).
tff(f3546,plain,
( $less(0,$sum(0,$uminus(0)))
| $less(0,$sum($sum(sK1,0),0))
| ~ spl3_81 ),
inference(superposition,[],[f3461,f346]) ).
tff(f3511,plain,
( ~ spl3_88
| spl3_31
| ~ spl3_10
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f3490,f2860,f446,f1117,f3508]) ).
tff(f3508,plain,
( spl3_88
<=> ( $sum(sK0(sK1),-1) = $product(sK0(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).
tff(f3490,plain,
( ( sK1 = $product(2,sK1) )
| ( $sum(sK0(sK1),-1) != $product(sK0(sK1),1) )
| ~ spl3_10
| ~ spl3_64 ),
inference(constrained_superposition,[],[f448,f2862]) ).
tff(f3503,plain,
( spl3_86
| spl3_87
| ~ spl3_6
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f3495,f2860,f429,f3501,f3497]) ).
tff(f3501,plain,
( spl3_87
<=> ! [X3: $int] :
( ( power1(2,$product(sK0(sK1),X3)) = power1(2,$product($product(sK0(sK1),1),X3)) )
| $less(0,$sum(0,$uminus(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).
tff(f3495,plain,
( ! [X3: $int] :
( ( power1(2,$product(sK0(sK1),X3)) = power1(2,$product($product(sK0(sK1),1),X3)) )
| $less(0,$sum(0,$uminus(X3)))
| $less(0,$sum(0,$uminus($product(sK0(sK1),1)))) )
| ~ spl3_6
| ~ spl3_64 ),
inference(forward_subsumption_demodulation,[],[f3493,f430]) ).
tff(f3493,plain,
( ! [X3: $int] :
( $less(0,$sum(0,$uminus($product(sK0(sK1),1))))
| $less(0,$sum(0,$uminus(X3)))
| ( power1(2,$product($product(sK0(sK1),1),X3)) = power1(sK1,X3) ) )
| ~ spl3_64 ),
inference(superposition,[],[f353,f2862]) ).
tff(f3484,plain,
( spl3_77
| spl3_85
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f3480,f379,f3482,f3442]) ).
tff(f3482,plain,
( spl3_85
<=> ! [X6: $int,X9: $int,X5: map_int_int,X8: $int] :
( ( 1 != sum2(X5,X6,$sum(X8,-1)) )
| $less(0,$sum($sum(X6,1),$uminus(X8)))
| $less(0,sum2(X5,X6,X8))
| $less(0,$sum(mod1(X9,tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))),abs1(tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).
tff(f3480,plain,
( ! [X8: $int,X6: $int,X9: $int,X5: map_int_int] :
( ( 1 != sum2(X5,X6,$sum(X8,-1)) )
| $less(0,$sum(mod1(X9,tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))),abs1(tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1)))))))
| $less(0,sum2(X5,X6,X8))
| $less(0,$sum($sum(X6,1),$uminus(X8)))
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f3386,f339]) ).
tff(f3386,plain,
( ! [X8: $int,X6: $int,X9: $int,X5: map_int_int] :
( $less(0,$sum($sum(X6,1),$uminus(X8)))
| ( 1 != sum2(X5,X6,$sum(X8,-1)) )
| $less(0,$sum($sum(sK1,-1),abs1(tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1)))))))
| $less(0,$sum(mod1(X9,tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1))))),abs1(tb2t(get(int,int,t2tb1(X5),t2tb($sum(X8,-1)))))))
| $less(0,sum2(X5,X6,X8)) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f484,f357]) ).
tff(f484,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(X0)))
| $less(0,$sum(1,X0))
| $less(0,$sum(mod1(X1,X0),abs1(X0))) )
| ~ spl3_3 ),
inference(superposition,[],[f406,f333]) ).
tff(f3479,plain,
( spl3_77
| spl3_84
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f3475,f386,f379,f3477,f3442]) ).
tff(f3477,plain,
( spl3_84
<=> ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(mod1(X2,mod1(X1,X0)),abs1(mod1(X1,X0))))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).
tff(f3475,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(mod1(X2,mod1(X1,X0)),abs1(mod1(X1,X0))))
| $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_demodulation,[],[f3383,f339]) ).
tff(f3383,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0)))
| $less(0,$sum(mod1(X2,mod1(X1,X0)),abs1(mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0)))) )
| ~ spl3_3
| ~ spl3_4 ),
inference(constrained_superposition,[],[f484,f417]) ).
tff(f3474,plain,
( spl3_77
| spl3_83
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f3470,f379,f3472,f3442]) ).
tff(f3472,plain,
( spl3_83
<=> ! [X5: map_int_int,X10: $int,X11: $int,X12: $int,X6: $int] :
( $less(0,sum2(X5,X6,X11))
| $less(0,$sum(X10,$uminus(X11)))
| $less(0,$sum(mod1(X12,sum2(X5,X10,X11)),abs1(sum2(X5,X10,X11))))
| ( 1 != sum2(X5,X6,X10) )
| $less(0,$sum(X6,$uminus(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).
tff(f3470,plain,
( ! [X10: $int,X11: $int,X6: $int,X5: map_int_int,X12: $int] :
( $less(0,sum2(X5,X6,X11))
| $less(0,$sum(X6,$uminus(X10)))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| ( 1 != sum2(X5,X6,X10) )
| $less(0,$sum(mod1(X12,sum2(X5,X10,X11)),abs1(sum2(X5,X10,X11))))
| $less(0,$sum(X10,$uminus(X11))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f3387,f339]) ).
tff(f3387,plain,
( ! [X10: $int,X11: $int,X6: $int,X5: map_int_int,X12: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(sum2(X5,X10,X11))))
| $less(0,$sum(X10,$uminus(X11)))
| $less(0,$sum(X6,$uminus(X10)))
| $less(0,$sum(mod1(X12,sum2(X5,X10,X11)),abs1(sum2(X5,X10,X11))))
| ( 1 != sum2(X5,X6,X10) )
| $less(0,sum2(X5,X6,X11)) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f484,f366]) ).
tff(f3467,plain,
( spl3_77
| spl3_82
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f3463,f379,f3465,f3442]) ).
tff(f3465,plain,
( spl3_82
<=> ! [X13: map_int_int,X14: $int,X16: $int,X15: $int] :
( $less(0,$sum(mod1(X16,sum2(X13,$sum(X14,1),X15)),abs1(sum2(X13,$sum(X14,1),X15))))
| $less(0,sum2(X13,X14,X15))
| $less(0,$sum($sum(X14,1),$uminus(X15)))
| ( 1 != tb2t(get(int,int,t2tb1(X13),t2tb(X14))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).
tff(f3463,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: map_int_int] :
( $less(0,$sum(mod1(X16,sum2(X13,$sum(X14,1),X15)),abs1(sum2(X13,$sum(X14,1),X15))))
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| ( 1 != tb2t(get(int,int,t2tb1(X13),t2tb(X14))) )
| $less(0,$sum($sum(X14,1),$uminus(X15)))
| $less(0,sum2(X13,X14,X15)) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f3388,f339]) ).
tff(f3388,plain,
( ! [X16: $int,X14: $int,X15: $int,X13: map_int_int] :
( ( 1 != tb2t(get(int,int,t2tb1(X13),t2tb(X14))) )
| $less(0,$sum(mod1(X16,sum2(X13,$sum(X14,1),X15)),abs1(sum2(X13,$sum(X14,1),X15))))
| $less(0,sum2(X13,X14,X15))
| $less(0,$sum($sum(X14,1),$uminus(X15)))
| $less(0,$sum($sum(sK1,-1),abs1(sum2(X13,$sum(X14,1),X15)))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f484,f335]) ).
tff(f3462,plain,
( spl3_80
| spl3_81
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f3454,f379,f3459,f3456]) ).
tff(f3456,plain,
( spl3_80
<=> ! [X1: $int] : $less(0,$sum(mod1(X1,-1),abs1(-1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).
tff(f3454,plain,
( ! [X1: $int] :
( $less(0,$sum($sum(sK1,0),abs1(0)))
| $less(0,$sum(mod1(X1,-1),abs1(-1))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f3374,f339]) ).
tff(f3374,plain,
( ! [X1: $int] :
( $less(0,$sum(mod1(X1,-1),abs1(-1)))
| $less(0,$sum($sum(sK1,-1),abs1(-1))) )
| ~ spl3_3 ),
inference(interpreted_simplification,[],[f3373]) ).
tff(f3373,plain,
( ! [X1: $int] :
( $less(0,$sum(1,-1))
| $less(0,$sum($sum(sK1,-1),abs1(-1)))
| $less(0,$sum(mod1(X1,-1),abs1(-1))) )
| ~ spl3_3 ),
inference(instantiation,[],[f484]) ).
tff(f3453,plain,
( spl3_77
| spl3_79
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f3449,f379,f3451,f3442]) ).
tff(f3451,plain,
( spl3_79
<=> ! [X0: $int,X1: $int,X3: $int] :
( $less(0,$sum(mod1(X3,mod1(X1,X0)),abs1(mod1(X1,X0))))
| $less(0,X1)
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),$uminus(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).
tff(f3449,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,$sum(mod1(X3,mod1(X1,X0)),abs1(mod1(X1,X0))))
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),abs1(0))) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f3384,f339]) ).
tff(f3384,plain,
( ! [X3: $int,X0: $int,X1: $int] :
( $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,X1)
| $less(0,$sum($sum(sK1,-1),$uminus(X0)))
| $less(0,$sum(mod1(X3,mod1(X1,X0)),abs1(mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) ) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f484,f403]) ).
tff(f3448,plain,
( spl3_77
| spl3_78
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f3440,f379,f3446,f3442]) ).
tff(f3446,plain,
( spl3_78
<=> ! [X4: $int,X0: $int,X1: $int] :
( $less(0,X1)
| ( 0 = X0 )
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum(mod1(X4,mod1(X1,X0)),abs1(mod1(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).
tff(f3440,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( $less(0,X1)
| $less(0,$sum(mod1(X4,mod1(X1,X0)),abs1(mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) )
| $less(0,$sum($sum(sK1,-1),abs1(0)))
| ( 0 = X0 ) )
| ~ spl3_3 ),
inference(forward_subsumption_demodulation,[],[f3385,f339]) ).
tff(f3385,plain,
( ! [X0: $int,X1: $int,X4: $int] :
( $less(0,X1)
| ( 0 = X0 )
| $less(0,$sum($sum(sK1,-1),abs1(mod1(X1,X0))))
| $less(0,$sum(mod1(X4,mod1(X1,X0)),abs1(mod1(X1,X0))))
| ( 1 != $product(X0,div1(X1,X0)) ) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f484,f271]) ).
tff(f3370,plain,
( ~ spl3_75
| ~ spl3_76
| ~ spl3_8
| ~ spl3_10
| spl3_68 ),
inference(avatar_split_clause,[],[f3361,f2970,f446,f437,f3367,f3363]) ).
tff(f3363,plain,
( spl3_75
<=> ( 0 = power1(2,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).
tff(f3367,plain,
( spl3_76
<=> ( 2 = sK0(2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).
tff(f2970,plain,
( spl3_68
<=> ( $product(sK0(sK1),0) = sK0(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).
tff(f3361,plain,
( ( 2 != sK1 )
| ( 2 != sK0(2) )
| ( 0 != power1(2,1) )
| ~ spl3_10
| spl3_68 ),
inference(inner_rewriting,[],[f3360]) ).
tff(f3360,plain,
( ( 2 != sK1 )
| ( 0 != power1(2,1) )
| ( 2 != sK0(sK1) )
| ~ spl3_10
| spl3_68 ),
inference(evaluation,[],[f3359]) ).
tff(f3359,plain,
( ( 0 != power1(2,$sum(2,-1)) )
| ( 2 != sK0(sK1) )
| ( 2 != sK1 )
| ~ spl3_10
| spl3_68 ),
inference(inner_rewriting,[],[f3356]) ).
tff(f3356,plain,
( ( 2 != sK0(sK1) )
| ( 0 != power1(2,$sum(sK0(sK1),-1)) )
| ( sK1 != sK0(sK1) )
| ~ spl3_10
| spl3_68 ),
inference(constrained_superposition,[],[f2972,f448]) ).
tff(f2972,plain,
( ( $product(sK0(sK1),0) != sK0(sK1) )
| spl3_68 ),
inference(avatar_component_clause,[],[f2970]) ).
tff(f3302,plain,
( spl3_8
| spl3_74
| ~ spl3_3
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f3295,f446,f379,f3300,f437]) ).
tff(f3300,plain,
( spl3_74
<=> ! [X28: $int] :
( ( mod1(X28,$sum(sK0(sK1),-1)) != -1 )
| $less(0,X28)
| ( sK1 != $product($sum(sK0(sK1),-1),div1(X28,$sum(sK0(sK1),-1))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).
tff(f3295,plain,
( ! [X28: $int] :
( ( mod1(X28,$sum(sK0(sK1),-1)) != -1 )
| ( sK1 != $product($sum(sK0(sK1),-1),div1(X28,$sum(sK0(sK1),-1))) )
| $less(0,X28)
| ( 2 = sK1 ) )
| ~ spl3_3
| ~ spl3_10 ),
inference(evaluation,[],[f3282]) ).
tff(f3282,plain,
( ! [X28: $int] :
( $less(0,X28)
| ( sK1 != $product($sum(sK0(sK1),-1),div1(X28,$sum(sK0(sK1),-1))) )
| ( mod1(X28,$sum(sK0(sK1),-1)) != -1 )
| ( sK1 = $product(2,1) ) )
| ~ spl3_3
| ~ spl3_10 ),
inference(superposition,[],[f448,f596]) ).
tff(f3153,plain,
( spl3_73
| spl3_19
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f3139,f386,f815,f3150]) ).
tff(f3150,plain,
( spl3_73
<=> $less(0,$sum(-1,sK0(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).
tff(f815,plain,
( spl3_19
<=> ! [X2: $int] :
( ( 1 != mod1(X2,2) )
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(X2,$uminus($sum(X2,-1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
tff(f3139,plain,
( ! [X2: $int] :
( ( 1 != mod1(X2,2) )
| $less(0,$sum(X2,$uminus($sum(X2,-1))))
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(-1,sK0(sK1))) )
| ~ spl3_4 ),
inference(evaluation,[],[f3124]) ).
tff(f3124,plain,
( ! [X2: $int] :
( $less(0,$sum(X2,$uminus($sum(X2,-1))))
| $less(0,$sum(0,$uminus(X2)))
| ( 1 != mod1(X2,2) )
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(2))) )
| ~ spl3_4 ),
inference(constrained_superposition,[],[f336,f417]) ).
tff(f3047,plain,
( spl3_72
| spl3_16
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f3035,f386,f522,f3044]) ).
tff(f3044,plain,
( spl3_72
<=> $less(0,sK0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).
tff(f3035,plain,
( $less(0,$sum(0,abs1(1)))
| $less(0,sK0(sK1))
| ~ spl3_4 ),
inference(evaluation,[],[f3001]) ).
tff(f3001,plain,
( $less(0,$sum(0,abs1(1)))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(1)))
| ~ spl3_4 ),
inference(superposition,[],[f414,f259]) ).
tff(f414,plain,
( ! [X0: $int,X1: $int] :
( $less(0,$sum(mod1(X1,X0),abs1(X0)))
| $less(0,$sum($sum(1,sK0(sK1)),$uminus(X0))) )
| ~ spl3_4 ),
inference(evaluation,[],[f411]) ).
tff(f411,plain,
( ! [X0: $int,X1: $int] :
( $less(X0,$sum(1,sK0(sK1)))
| $less(0,$sum(mod1(X1,X0),abs1(X0))) )
| ~ spl3_4 ),
inference(superposition,[],[f388,f339]) ).
tff(f2992,plain,
( spl3_70
| spl3_71
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f2951,f2854,f2989,f2985]) ).
tff(f2985,plain,
( spl3_70
<=> ( 1 = $product(2,power1(2,$sum($product(sK0(sK1),0),-1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).
tff(f2951,plain,
( $less(0,$sum(0,$uminus($sum($product(sK0(sK1),0),-1))))
| ( 1 = $product(2,power1(2,$sum($product(sK0(sK1),0),-1))) )
| ~ spl3_63 ),
inference(evaluation,[],[f2950]) ).
tff(f2950,plain,
( $less(0,$sum(0,$uminus($sum($product(sK0(sK1),0),$uminus(1)))))
| ( 1 = $product(2,power1(2,$sum($product(sK0(sK1),0),$uminus(1)))) )
| ~ spl3_63 ),
inference(gaussian_variable_elimination,[],[f2943]) ).
tff(f2943,plain,
( ! [X2: $int] :
( ( 1 = $product(2,power1(2,X2)) )
| ( $product(sK0(sK1),0) != $sum(X2,1) )
| $less(0,$sum(0,$uminus(X2))) )
| ~ spl3_63 ),
inference(constrained_superposition,[],[f2856,f358]) ).
tff(f358,plain,
! [X0: $int,X1: $int] :
( ( power1(X1,$sum(X0,1)) = $product(X1,power1(X1,X0)) )
| $less(0,$sum(0,$uminus(X0))) ),
inference(evaluation,[],[f313]) ).
tff(f313,plain,
! [X0: $int,X1: $int] :
( ( power1(X1,$sum(X0,1)) = $product(X1,power1(X1,X0)) )
| $less(X0,0) ),
inference(cnf_transformation,[],[f238]) ).
tff(f238,plain,
! [X0: $int,X1: $int] :
( $less(X0,0)
| ( power1(X1,$sum(X0,1)) = $product(X1,power1(X1,X0)) ) ),
inference(rectify,[],[f189]) ).
tff(f189,plain,
! [X1: $int,X0: $int] :
( $less(X1,0)
| ( power1(X0,$sum(X1,1)) = $product(X0,power1(X0,X1)) ) ),
inference(ennf_transformation,[],[f144]) ).
tff(f144,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,0)
=> ( power1(X0,$sum(X1,1)) = $product(X0,power1(X0,X1)) ) ),
inference(rectify,[],[f88]) ).
tff(f88,plain,
! [X1: $int,X8: $int] :
( ~ $less(X8,0)
=> ( power1(X1,$sum(X8,1)) = $product(X1,power1(X1,X8)) ) ),
inference(theory_normalization,[],[f27]) ).
tff(f27,axiom,
! [X1: $int,X8: $int] :
( $lesseq(0,X8)
=> ( power1(X1,$sum(X8,1)) = $product(X1,power1(X1,X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_s) ).
tff(f2983,plain,
( ~ spl3_68
| ~ spl3_5
| spl3_12
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f2982,f2854,f455,f391,f2970]) ).
tff(f2982,plain,
( ( $product(sK0(sK1),0) != sK0(sK1) )
| ~ spl3_5
| spl3_12
| ~ spl3_63 ),
inference(subsumption_resolution,[],[f2948,f456]) ).
tff(f2948,plain,
( ( $product(sK0(sK1),0) != sK0(sK1) )
| ( 1 = sK1 )
| ~ spl3_5
| ~ spl3_63 ),
inference(constrained_superposition,[],[f393,f2856]) ).
tff(f2978,plain,
( spl3_8
| ~ spl3_69
| ~ spl3_10
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f2953,f2854,f446,f2975,f437]) ).
tff(f2975,plain,
( spl3_69
<=> ( $product(sK0(sK1),0) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).
tff(f2953,plain,
( ( $product(sK0(sK1),0) != $sum(sK0(sK1),-1) )
| ( 2 = sK1 )
| ~ spl3_10
| ~ spl3_63 ),
inference(evaluation,[],[f2946]) ).
tff(f2946,plain,
( ( $product(sK0(sK1),0) != $sum(sK0(sK1),-1) )
| ( sK1 = $product(2,1) )
| ~ spl3_10
| ~ spl3_63 ),
inference(constrained_superposition,[],[f448,f2856]) ).
tff(f2973,plain,
( ~ spl3_68
| ~ spl3_5
| spl3_12
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f2968,f2854,f455,f391,f2970]) ).
tff(f2968,plain,
( ( $product(sK0(sK1),0) != sK0(sK1) )
| ~ spl3_5
| spl3_12
| ~ spl3_63 ),
inference(subsumption_resolution,[],[f2942,f456]) ).
tff(f2942,plain,
( ( 1 = sK1 )
| ( $product(sK0(sK1),0) != sK0(sK1) )
| ~ spl3_5
| ~ spl3_63 ),
inference(constrained_superposition,[],[f2856,f393]) ).
tff(f2967,plain,
( ~ spl3_67
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f2954,f2854,f2964]) ).
tff(f2964,plain,
( spl3_67
<=> ( 1 = $product(sK0(sK1),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).
tff(f2954,plain,
( ( 1 != $product(sK0(sK1),0) )
| ~ spl3_63 ),
inference(evaluation,[],[f2945]) ).
tff(f2945,plain,
( ( 1 != $product(sK0(sK1),0) )
| ( 1 = 2 )
| ~ spl3_63 ),
inference(constrained_superposition,[],[f2856,f296]) ).
tff(f2962,plain,
( spl3_65
| spl3_66
| ~ spl3_63 ),
inference(avatar_split_clause,[],[f2949,f2854,f2960,f2956]) ).
tff(f2960,plain,
( spl3_66
<=> ! [X2: $int] :
( ( power1(2,$product($product(sK0(sK1),0),X2)) = power1(1,X2) )
| $less(0,$sum(0,$uminus(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).
tff(f2949,plain,
( ! [X2: $int] :
( ( power1(2,$product($product(sK0(sK1),0),X2)) = power1(1,X2) )
| $less(0,$sum(0,$uminus($product(sK0(sK1),0))))
| $less(0,$sum(0,$uminus(X2))) )
| ~ spl3_63 ),
inference(superposition,[],[f353,f2856]) ).
tff(f2872,plain,
( spl3_64
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f2841,f429,f2860]) ).
tff(f2841,plain,
( ( sK1 = power1(2,$product(sK0(sK1),1)) )
| ~ spl3_6 ),
inference(evaluation,[],[f2834]) ).
tff(f2834,plain,
( ( sK1 = power1(2,$product(sK0(sK1),1)) )
| $less(0,$sum(0,$uminus(1)))
| ~ spl3_6 ),
inference(superposition,[],[f296,f430]) ).
tff(f2871,plain,
( spl3_63
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f2870,f429,f2854]) ).
tff(f2870,plain,
( ( 1 = power1(2,$product(sK0(sK1),0)) )
| ~ spl3_6 ),
inference(forward_demodulation,[],[f2809,f298]) ).
tff(f2809,plain,
( ( power1(sK1,0) = power1(2,$product(sK0(sK1),0)) )
| ~ spl3_6 ),
inference(interpreted_simplification,[],[f2808]) ).
tff(f2808,plain,
( $less(0,$sum(0,$uminus(0)))
| ( power1(sK1,0) = power1(2,$product(sK0(sK1),0)) )
| ~ spl3_6 ),
inference(instantiation,[],[f430]) ).
tff(f2863,plain,
( spl3_64
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f2848,f429,f2860]) ).
tff(f2848,plain,
( ( sK1 = power1(2,$product(sK0(sK1),1)) )
| ~ spl3_6 ),
inference(evaluation,[],[f2826]) ).
tff(f2826,plain,
( $less(0,$sum(0,$uminus(1)))
| ( sK1 = power1(2,$product(sK0(sK1),1)) )
| ~ spl3_6 ),
inference(superposition,[],[f430,f296]) ).
tff(f2858,plain,
( spl3_63
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f2849,f429,f2854]) ).
tff(f2849,plain,
( ( 1 = power1(2,$product(sK0(sK1),0)) )
| ~ spl3_6 ),
inference(evaluation,[],[f2830]) ).
tff(f2830,plain,
( $less(0,$sum(0,$uminus(0)))
| ( 1 = power1(2,$product(sK0(sK1),0)) )
| ~ spl3_6 ),
inference(superposition,[],[f298,f430]) ).
tff(f2857,plain,
( spl3_63
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f2851,f429,f2854]) ).
tff(f2851,plain,
( ( 1 = power1(2,$product(sK0(sK1),0)) )
| ~ spl3_6 ),
inference(evaluation,[],[f2825]) ).
tff(f2825,plain,
( ( 1 = power1(2,$product(sK0(sK1),0)) )
| $less(0,$sum(0,$uminus(0)))
| ~ spl3_6 ),
inference(superposition,[],[f430,f298]) ).
tff(f2805,plain,
( ~ spl3_12
| ~ spl3_1
| spl3_59 ),
inference(avatar_split_clause,[],[f2804,f2509,f369,f455]) ).
tff(f2804,plain,
( ( 1 != sK1 )
| ~ spl3_1
| spl3_59 ),
inference(constrained_resolution,[],[f2511,f371]) ).
tff(f2748,plain,
( ~ spl3_60
| ~ spl3_61
| ~ spl3_62
| ~ spl3_3
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f2652,f446,f379,f2745,f2741,f2737]) ).
tff(f2741,plain,
( spl3_61
<=> ( mod1(0,2) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).
tff(f2745,plain,
( spl3_62
<=> is_power_of_21(div1(0,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).
tff(f2652,plain,
( ~ is_power_of_21(div1(0,2))
| ( mod1(0,2) != -1 )
| ( sK0(div1(0,2)) != $sum(sK0(sK1),-1) )
| ~ spl3_3
| ~ spl3_10 ),
inference(evaluation,[],[f2651]) ).
tff(f2651,plain,
( ( 0 = 2 )
| ( mod1(0,2) != -1 )
| ( sK0(div1(0,2)) != $sum(sK0(sK1),-1) )
| ~ is_power_of_21(div1(0,2))
| ~ spl3_3
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f2543]) ).
tff(f2543,plain,
( ( mod1(0,2) != -1 )
| ( 0 = 2 )
| ( sK1 != sK1 )
| ~ is_power_of_21(div1(0,2))
| ( sK0(div1(0,2)) != $sum(sK0(sK1),-1) )
| ~ spl3_3
| ~ spl3_10 ),
inference(superposition,[],[f574,f1049]) ).
tff(f2512,plain,
( ~ spl3_59
| spl3_16
| spl3_54 ),
inference(avatar_split_clause,[],[f2496,f2419,f522,f2509]) ).
tff(f2496,plain,
( $less(0,$sum(0,abs1(1)))
| ~ is_power_of_21(1)
| spl3_54 ),
inference(superposition,[],[f2427,f259]) ).
tff(f2487,plain,
( spl3_57
| ~ spl3_58
| spl3_52 ),
inference(avatar_split_clause,[],[f2478,f2410,f2484,f2480]) ).
tff(f2480,plain,
( spl3_57
<=> $less(0,$sum(0,$uminus($sum($sum(sK1,0),$uminus(div1(0,2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).
tff(f2478,plain,
( ( $product(2,$sum($sum(sK1,0),$uminus(div1(0,2)))) != sK1 )
| $less(0,$sum(0,$uminus($sum($sum(sK1,0),$uminus(div1(0,2))))))
| spl3_52 ),
inference(evaluation,[],[f2477]) ).
tff(f2477,plain,
( ( $product(2,$sum($sum(sK1,$uminus(0)),$uminus(div1(0,2)))) != sK1 )
| $less(0,$sum(0,$uminus($sum($sum(sK1,$uminus(0)),$uminus(div1(0,2))))))
| spl3_52 ),
inference(gaussian_variable_elimination,[],[f2476]) ).
tff(f2476,plain,
( ! [X1: $int] :
( ( sK1 != $product(2,X1) )
| $less(0,$sum(0,$uminus(X1)))
| ( sK1 != $sum(0,$sum(X1,div1(0,2))) ) )
| spl3_52 ),
inference(evaluation,[],[f2472]) ).
tff(f2472,plain,
( ! [X1: $int] :
( $less(0,$sum(1,$uminus(2)))
| ( sK1 != $sum(0,$sum(X1,div1(0,2))) )
| $less(0,$sum(0,$uminus(X1)))
| ( sK1 != $product(2,X1) )
| $less(0,$sum(0,$uminus(0))) )
| spl3_52 ),
inference(constrained_superposition,[],[f2412,f356]) ).
tff(f2446,plain,
( ~ spl3_55
| spl3_56
| spl3_53
| spl3_51 ),
inference(avatar_split_clause,[],[f2435,f2389,f2415,f2443,f2439]) ).
tff(f2415,plain,
( spl3_53
<=> $less(0,$sum(-1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).
tff(f2389,plain,
( spl3_51
<=> ( sK0(div1(sK1,2)) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
tff(f2435,plain,
( $less(0,$sum(-1,sK1))
| $less(0,$sum(0,$uminus(sK1)))
| ( $sum(sK0(sK1),-1) != sK0(0) )
| spl3_51 ),
inference(evaluation,[],[f2433]) ).
tff(f2433,plain,
( $less(0,$sum($sum(sK1,1),$uminus(2)))
| $less(0,$sum(0,$uminus(sK1)))
| ( $sum(sK0(sK1),-1) != sK0(0) )
| spl3_51 ),
inference(superposition,[],[f2391,f350]) ).
tff(f2391,plain,
( ( sK0(div1(sK1,2)) != $sum(sK0(sK1),-1) )
| spl3_51 ),
inference(avatar_component_clause,[],[f2389]) ).
tff(f2422,plain,
( spl3_53
| spl3_42
| ~ spl3_54
| spl3_48 ),
inference(avatar_split_clause,[],[f2408,f2375,f2419,f2241,f2415]) ).
tff(f2241,plain,
( spl3_42
<=> $less(0,$sum(0,$uminus($sum(sK1,0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
tff(f2408,plain,
( ~ is_power_of_21(0)
| $less(0,$sum(0,$uminus($sum(sK1,0))))
| $less(0,$sum(-1,sK1))
| spl3_48 ),
inference(evaluation,[],[f2406]) ).
tff(f2406,plain,
( ~ is_power_of_21($sum(0,0))
| $less(0,$sum(0,$uminus($sum(sK1,0))))
| $less(0,$sum($sum($sum(sK1,0),1),$uminus(2)))
| spl3_48 ),
inference(superposition,[],[f2377,f350]) ).
tff(f2413,plain,
( ~ spl3_52
| ~ spl3_1
| spl3_48 ),
inference(avatar_split_clause,[],[f2394,f2375,f369,f2410]) ).
tff(f2394,plain,
( ( sK1 != $sum(0,div1($sum(sK1,0),2)) )
| ~ spl3_1
| spl3_48 ),
inference(constrained_resolution,[],[f2377,f371]) ).
tff(f2392,plain,
( ~ spl3_50
| ~ spl3_51
| spl3_2
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f2360,f446,f374,f2389,f2385]) ).
tff(f2385,plain,
( spl3_50
<=> is_power_of_21(div1(sK1,2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).
tff(f374,plain,
( spl3_2
<=> ( sK1 = $product(2,div1(sK1,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f2360,plain,
( ( sK0(div1(sK1,2)) != $sum(sK0(sK1),-1) )
| ~ is_power_of_21(div1(sK1,2))
| spl3_2
| ~ spl3_10 ),
inference(trivial_inequality_removal,[],[f2345]) ).
tff(f2345,plain,
( ~ is_power_of_21(div1(sK1,2))
| ( sK1 != sK1 )
| ( sK0(div1(sK1,2)) != $sum(sK0(sK1),-1) )
| spl3_2
| ~ spl3_10 ),
inference(superposition,[],[f376,f1049]) ).
tff(f376,plain,
( ( sK1 != $product(2,div1(sK1,2)) )
| spl3_2 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f2383,plain,
( spl3_45
| spl3_47
| spl3_2
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f2342,f446,f374,f2371,f2282]) ).
tff(f2282,plain,
( spl3_45
<=> $less(0,$sum(0,$uminus($sum(sK1,$uminus(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
tff(f2371,plain,
( spl3_47
<=> ! [X2: $int] :
( ( $sum(sK0(sK1),-1) != sK0(X2) )
| ( sK1 != $product(2,$sum(X2,div1($sum(sK1,$uminus(sK1)),2))) )
| $less(0,$sum(0,$uminus(X2)))
| ~ is_power_of_21(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).
tff(f2342,plain,
( ! [X3: $int] :
( ~ is_power_of_21(X3)
| ( sK1 != $product(2,$sum(X3,div1($sum(sK1,$uminus(sK1)),2))) )
| ( sK0(X3) != $sum(sK0(sK1),-1) )
| $less(0,$sum(0,$uminus(X3)))
| $less(0,$sum(0,$uminus($sum(sK1,$uminus(sK1))))) )
| spl3_2
| ~ spl3_10 ),
inference(superposition,[],[f468,f1049]) ).
tff(f468,plain,
( ! [X1: $int] :
( ( sK1 != $product(2,$sum(X1,div1($sum(sK1,$uminus($product(2,X1))),2))) )
| $less(0,$sum(0,$uminus($sum(sK1,$uminus($product(2,X1))))))
| $less(0,$sum(0,$uminus(X1))) )
| spl3_2 ),
inference(gaussian_variable_elimination,[],[f467]) ).
tff(f467,plain,
( ! [X2: $int,X1: $int] :
( ( sK1 != $product(2,$sum(X1,div1(X2,2))) )
| $less(0,$sum(0,$uminus(X2)))
| ( sK1 != $sum($product(2,X1),X2) )
| $less(0,$sum(0,$uminus(X1))) )
| spl3_2 ),
inference(evaluation,[],[f463]) ).
tff(f463,plain,
( ! [X2: $int,X1: $int] :
( ( sK1 != $sum($product(2,X1),X2) )
| $less(0,$sum(1,$uminus(2)))
| ( sK1 != $product(2,$sum(X1,div1(X2,2))) )
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus(X2))) )
| spl3_2 ),
inference(constrained_superposition,[],[f376,f356]) ).
tff(f2382,plain,
( ~ spl3_48
| ~ spl3_49
| ~ spl3_10
| spl3_43 ),
inference(avatar_split_clause,[],[f2363,f2245,f446,f2379,f2375]) ).
tff(f2379,plain,
( spl3_49
<=> ( sK0($sum(0,div1($sum(sK1,0),2))) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).
tff(f2363,plain,
( ( sK0($sum(0,div1($sum(sK1,0),2))) != $sum(sK0(sK1),-1) )
| ~ is_power_of_21($sum(0,div1($sum(sK1,0),2)))
| ~ spl3_10
| spl3_43 ),
inference(trivial_inequality_removal,[],[f2347]) ).
tff(f2347,plain,
( ( sK1 != sK1 )
| ~ is_power_of_21($sum(0,div1($sum(sK1,0),2)))
| ( sK0($sum(0,div1($sum(sK1,0),2))) != $sum(sK0(sK1),-1) )
| ~ spl3_10
| spl3_43 ),
inference(superposition,[],[f2247,f1049]) ).
tff(f2373,plain,
( spl3_47
| spl3_45
| spl3_2
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f2341,f446,f374,f2282,f2371]) ).
tff(f2341,plain,
( ! [X2: $int] :
( $less(0,$sum(0,$uminus($sum(sK1,$uminus(sK1)))))
| ( $sum(sK0(sK1),-1) != sK0(X2) )
| ~ is_power_of_21(X2)
| $less(0,$sum(0,$uminus(X2)))
| ( sK1 != $product(2,$sum(X2,div1($sum(sK1,$uminus(sK1)),2))) ) )
| spl3_2
| ~ spl3_10 ),
inference(superposition,[],[f468,f1049]) ).
tff(f2308,plain,
( ~ spl3_46
| ~ spl3_10
| spl3_43 ),
inference(avatar_split_clause,[],[f2301,f2245,f446,f2305]) ).
tff(f2301,plain,
( ( power1(2,$sum(sK0(sK1),-1)) != $sum(0,div1($sum(sK1,0),2)) )
| ~ spl3_10
| spl3_43 ),
inference(trivial_inequality_removal,[],[f2299]) ).
tff(f2299,plain,
( ( power1(2,$sum(sK0(sK1),-1)) != $sum(0,div1($sum(sK1,0),2)) )
| ( sK1 != sK1 )
| ~ spl3_10
| spl3_43 ),
inference(constrained_superposition,[],[f2247,f448]) ).
tff(f2287,plain,
( spl3_20
| ~ spl3_44
| spl3_45
| spl3_2
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f2265,f446,f374,f2282,f2278,f1069]) ).
tff(f1069,plain,
( spl3_20
<=> $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
tff(f2278,plain,
( spl3_44
<=> ( $product(2,$sum(power1(2,$sum(sK0(sK1),-1)),div1($sum(sK1,$uminus(sK1)),2))) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
tff(f2265,plain,
( $less(0,$sum(0,$uminus($sum(sK1,$uminus(sK1)))))
| ( $product(2,$sum(power1(2,$sum(sK0(sK1),-1)),div1($sum(sK1,$uminus(sK1)),2))) != sK1 )
| $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| spl3_2
| ~ spl3_10 ),
inference(superposition,[],[f468,f448]) ).
tff(f2285,plain,
( ~ spl3_44
| spl3_20
| spl3_45
| spl3_2
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f2264,f446,f374,f2282,f1069,f2278]) ).
tff(f2264,plain,
( $less(0,$sum(0,$uminus($sum(sK1,$uminus(sK1)))))
| $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| ( $product(2,$sum(power1(2,$sum(sK0(sK1),-1)),div1($sum(sK1,$uminus(sK1)),2))) != sK1 )
| spl3_2
| ~ spl3_10 ),
inference(superposition,[],[f468,f448]) ).
tff(f2248,plain,
( spl3_42
| ~ spl3_43
| spl3_2 ),
inference(avatar_split_clause,[],[f2226,f374,f2245,f2241]) ).
tff(f2226,plain,
( ( $product(2,$sum(0,div1($sum(sK1,0),2))) != sK1 )
| $less(0,$sum(0,$uminus($sum(sK1,0))))
| spl3_2 ),
inference(evaluation,[],[f2178]) ).
tff(f2178,plain,
( $less(0,$sum(0,$uminus($sum(sK1,$uminus($product(2,0))))))
| ( sK1 != $product(2,$sum(0,div1($sum(sK1,$uminus($product(2,0))),2))) )
| spl3_2 ),
inference(interpreted_simplification,[],[f2177]) ).
tff(f2177,plain,
( ( sK1 != $product(2,$sum(0,div1($sum(sK1,$uminus($product(2,0))),2))) )
| $less(0,$sum(0,$uminus($sum(sK1,$uminus($product(2,0))))))
| $less(0,$sum(0,$uminus(0)))
| spl3_2 ),
inference(instantiation,[],[f468]) ).
tff(f1570,plain,
( ~ spl3_41
| spl3_13
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1147,f1112,f459,f1567]) ).
tff(f1567,plain,
( spl3_41
<=> ( 0 = sK0(4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
tff(f1147,plain,
( ( 0 != sK0(4) )
| spl3_13
| ~ spl3_30 ),
inference(backward_demodulation,[],[f461,f1114]) ).
tff(f1114,plain,
( ( sK1 = 4 )
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f1112]) ).
tff(f1564,plain,
( ~ spl3_40
| spl3_9
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1145,f1112,f441,f1561]) ).
tff(f1561,plain,
( spl3_40
<=> ( 1 = sK0(4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_40])]) ).
tff(f1145,plain,
( ( 1 != sK0(4) )
| spl3_9
| ~ spl3_30 ),
inference(backward_demodulation,[],[f443,f1114]) ).
tff(f1555,plain,
( spl3_39
| ~ spl3_5
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1129,f1112,f391,f1552]) ).
tff(f1552,plain,
( spl3_39
<=> ( 4 = power1(2,sK0(4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
tff(f1129,plain,
( ( 4 = power1(2,sK0(4)) )
| ~ spl3_5
| ~ spl3_30 ),
inference(backward_demodulation,[],[f393,f1114]) ).
tff(f1544,plain,
( spl3_38
| ~ spl3_10
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1146,f1112,f446,f1541]) ).
tff(f1541,plain,
( spl3_38
<=> ( 4 = $product(2,power1(2,$sum(sK0(4),-1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
tff(f1146,plain,
( ( 4 = $product(2,power1(2,$sum(sK0(4),-1))) )
| ~ spl3_10
| ~ spl3_30 ),
inference(backward_demodulation,[],[f448,f1114]) ).
tff(f1525,plain,
( ~ spl3_37
| ~ spl3_30
| spl3_32 ),
inference(avatar_split_clause,[],[f1344,f1121,f1112,f1522]) ).
tff(f1522,plain,
( spl3_37
<=> ( sK0(4) = $sum(sK0(4),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
tff(f1121,plain,
( spl3_32
<=> ( sK0(sK1) = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
tff(f1344,plain,
( ( sK0(4) != $sum(sK0(4),-1) )
| ~ spl3_30
| spl3_32 ),
inference(backward_demodulation,[],[f1123,f1114]) ).
tff(f1123,plain,
( ( sK0(sK1) != $sum(sK0(sK1),-1) )
| spl3_32 ),
inference(avatar_component_clause,[],[f1121]) ).
tff(f1520,plain,
( spl3_36
| ~ spl3_4
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1128,f1112,f386,f1517]) ).
tff(f1517,plain,
( spl3_36
<=> $less(0,$sum(1,sK0(4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
tff(f1128,plain,
( $less(0,$sum(1,sK0(4)))
| ~ spl3_4
| ~ spl3_30 ),
inference(backward_demodulation,[],[f388,f1114]) ).
tff(f1515,plain,
( ~ spl3_35
| spl3_23
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1341,f1112,f1081,f1512]) ).
tff(f1512,plain,
( spl3_35
<=> ( 0 = $sum(sK0(4),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
tff(f1081,plain,
( spl3_23
<=> ( 0 = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
tff(f1341,plain,
( ( 0 != $sum(sK0(4),-1) )
| spl3_23
| ~ spl3_30 ),
inference(backward_demodulation,[],[f1083,f1114]) ).
tff(f1083,plain,
( ( 0 != $sum(sK0(sK1),-1) )
| spl3_23 ),
inference(avatar_component_clause,[],[f1081]) ).
tff(f1504,plain,
( ~ spl3_34
| spl3_2
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1126,f1112,f374,f1501]) ).
tff(f1501,plain,
( spl3_34
<=> ( 4 = $product(2,div1(4,2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
tff(f1126,plain,
( ( 4 != $product(2,div1(4,2)) )
| spl3_2
| ~ spl3_30 ),
inference(backward_demodulation,[],[f376,f1114]) ).
tff(f1499,plain,
( spl3_33
| ~ spl3_1
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1125,f1112,f369,f1496]) ).
tff(f1125,plain,
( is_power_of_21(4)
| ~ spl3_1
| ~ spl3_30 ),
inference(backward_demodulation,[],[f371,f1114]) ).
tff(f1124,plain,
( spl3_31
| ~ spl3_32
| ~ spl3_5
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1050,f446,f391,f1121,f1117]) ).
tff(f1050,plain,
( ( sK0(sK1) != $sum(sK0(sK1),-1) )
| ( sK1 = $product(2,sK1) )
| ~ spl3_5
| ~ spl3_10 ),
inference(constrained_superposition,[],[f448,f393]) ).
tff(f1115,plain,
( ~ spl3_29
| spl3_30
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1063,f446,f1112,f1108]) ).
tff(f1108,plain,
( spl3_29
<=> ( 1 = $sum(sK0(sK1),-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
tff(f1063,plain,
( ( sK1 = 4 )
| ( 1 != $sum(sK0(sK1),-1) )
| ~ spl3_10 ),
inference(evaluation,[],[f1051]) ).
tff(f1051,plain,
( ( 1 != $sum(sK0(sK1),-1) )
| ( sK1 = $product(2,2) )
| ~ spl3_10 ),
inference(constrained_superposition,[],[f448,f296]) ).
tff(f1105,plain,
( spl3_28
| spl3_25
| ~ spl3_3
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1055,f446,f379,f1090,f1102]) ).
tff(f1090,plain,
( spl3_25
<=> ! [X0: $int] :
( ( 2 != div1(X0,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum($sum(abs1(X0),1),$uminus(abs1(sK1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
tff(f1055,plain,
( ! [X0: $int] :
( ( 2 != div1(X0,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum($sum(sK1,-1),$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,$sum($sum(abs1(X0),1),$uminus(abs1(sK1)))) )
| ~ spl3_3
| ~ spl3_10 ),
inference(constrained_superposition,[],[f407,f448]) ).
tff(f1100,plain,
( spl3_20
| spl3_27
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1058,f446,f1098,f1069]) ).
tff(f1098,plain,
( spl3_27
<=> ! [X4: $int] :
( $less(0,$sum(2,$uminus(X4)))
| $less(0,$sum($sum($product(X4,power1(2,$sum(sK0(sK1),-1))),1),$uminus(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
tff(f1058,plain,
( ! [X4: $int] :
( $less(0,$sum(2,$uminus(X4)))
| $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,$sum($sum($product(X4,power1(2,$sum(sK0(sK1),-1))),1),$uminus(sK1))) )
| ~ spl3_10 ),
inference(superposition,[],[f364,f448]) ).
tff(f1096,plain,
( spl3_26
| spl3_20
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1064,f446,f1069,f1094]) ).
tff(f1094,plain,
( spl3_26
<=> ! [X5: $int] :
( $less(0,$sum($sum(sK1,1),$uminus($product(X5,power1(2,$sum(sK0(sK1),-1))))))
| $less(0,$sum(X5,-2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
tff(f1064,plain,
( ! [X5: $int] :
( $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,$sum($sum(sK1,1),$uminus($product(X5,power1(2,$sum(sK0(sK1),-1))))))
| $less(0,$sum(X5,-2)) )
| ~ spl3_10 ),
inference(evaluation,[],[f1059]) ).
tff(f1059,plain,
( ! [X5: $int] :
( $less(0,$sum(X5,$uminus(2)))
| $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,$sum($sum(sK1,1),$uminus($product(X5,power1(2,$sum(sK0(sK1),-1)))))) )
| ~ spl3_10 ),
inference(superposition,[],[f364,f448]) ).
tff(f1092,plain,
( spl3_24
| spl3_25
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1056,f446,f1090,f1086]) ).
tff(f1056,plain,
( ! [X0: $int] :
( ( 2 != div1(X0,power1(2,$sum(sK0(sK1),-1))) )
| $less(0,$sum($sum(abs1(X0),1),$uminus(abs1(sK1))))
| ( 0 = power1(2,$sum(sK0(sK1),-1)) ) )
| ~ spl3_10 ),
inference(constrained_superposition,[],[f334,f448]) ).
tff(f1084,plain,
( ~ spl3_23
| spl3_8
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1065,f446,f437,f1081]) ).
tff(f1065,plain,
( ( 2 = sK1 )
| ( 0 != $sum(sK0(sK1),-1) )
| ~ spl3_10 ),
inference(evaluation,[],[f1052]) ).
tff(f1052,plain,
( ( sK1 = $product(2,1) )
| ( 0 != $sum(sK0(sK1),-1) )
| ~ spl3_10 ),
inference(constrained_superposition,[],[f448,f298]) ).
tff(f1079,plain,
( spl3_20
| spl3_22
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1066,f446,f1077,f1069]) ).
tff(f1077,plain,
( spl3_22
<=> ! [X7: $int] :
( ( mod1(X7,2) = mod1($sum(sK1,X7),2) )
| $less(0,$sum(0,$uminus(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
tff(f1066,plain,
( ! [X7: $int] :
( ( mod1(X7,2) = mod1($sum(sK1,X7),2) )
| $less(0,$sum(0,$uminus(X7)))
| $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1))))) )
| ~ spl3_10 ),
inference(evaluation,[],[f1061]) ).
tff(f1061,plain,
( ! [X7: $int] :
( ( mod1(X7,2) = mod1($sum(sK1,X7),2) )
| $less(0,$sum(1,$uminus(2)))
| $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1)))))
| $less(0,$sum(0,$uminus(X7))) )
| ~ spl3_10 ),
inference(superposition,[],[f354,f448]) ).
tff(f1075,plain,
( spl3_20
| spl3_21
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1067,f446,f1073,f1069]) ).
tff(f1073,plain,
( spl3_21
<=> ! [X6: $int] :
( $less(0,$sum(0,$uminus(X6)))
| ( $sum(power1(2,$sum(sK0(sK1),-1)),div1(X6,2)) = div1($sum(sK1,X6),2) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
tff(f1067,plain,
( ! [X6: $int] :
( $less(0,$sum(0,$uminus(X6)))
| ( $sum(power1(2,$sum(sK0(sK1),-1)),div1(X6,2)) = div1($sum(sK1,X6),2) )
| $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1))))) )
| ~ spl3_10 ),
inference(evaluation,[],[f1060]) ).
tff(f1060,plain,
( ! [X6: $int] :
( ( $sum(power1(2,$sum(sK0(sK1),-1)),div1(X6,2)) = div1($sum(sK1,X6),2) )
| $less(0,$sum(0,$uminus(X6)))
| $less(0,$sum(1,$uminus(2)))
| $less(0,$sum(0,$uminus(power1(2,$sum(sK0(sK1),-1))))) )
| ~ spl3_10 ),
inference(superposition,[],[f356,f448]) ).
tff(f817,plain,
( spl3_18
| spl3_19
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f792,f379,f815,f811]) ).
tff(f811,plain,
( spl3_18
<=> $less(0,$sum(-3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
tff(f792,plain,
( ! [X2: $int] :
( ( 1 != mod1(X2,2) )
| $less(0,$sum(X2,$uminus($sum(X2,-1))))
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(-3,sK1)) )
| ~ spl3_3 ),
inference(evaluation,[],[f786]) ).
tff(f786,plain,
( ! [X2: $int] :
( $less(0,$sum($sum(sK1,-1),$uminus(2)))
| ( 1 != mod1(X2,2) )
| $less(0,$sum(0,$uminus(X2)))
| $less(0,$sum(X2,$uminus($sum(X2,-1)))) )
| ~ spl3_3 ),
inference(constrained_superposition,[],[f336,f403]) ).
tff(f572,plain,
( spl3_17
| spl3_15
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f557,f379,f518,f569]) ).
tff(f569,plain,
( spl3_17
<=> $less(0,$sum(abs1(1),0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
tff(f518,plain,
( spl3_15
<=> $less(0,$sum(-2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
tff(f557,plain,
( $less(0,$sum(-2,sK1))
| $less(0,$sum(abs1(1),0))
| ~ spl3_3 ),
inference(evaluation,[],[f533]) ).
tff(f533,plain,
( $less(0,$sum($sum(sK1,-1),$uminus(1)))
| $less(0,$sum(abs1(1),$uminus(0)))
| ~ spl3_3 ),
inference(superposition,[],[f404,f259]) ).
tff(f525,plain,
( spl3_15
| spl3_16
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f514,f379,f522,f518]) ).
tff(f514,plain,
( $less(0,$sum(0,abs1(1)))
| $less(0,$sum(-2,sK1))
| ~ spl3_3 ),
inference(evaluation,[],[f495]) ).
tff(f495,plain,
( $less(0,$sum($sum(sK1,-1),$uminus(1)))
| $less(0,$sum(0,abs1(1)))
| ~ spl3_3 ),
inference(superposition,[],[f406,f259]) ).
tff(f475,plain,
( ~ spl3_14
| spl3_2 ),
inference(avatar_split_clause,[],[f470,f374,f472]) ).
tff(f470,plain,
( ( 0 != sK1 )
| spl3_2 ),
inference(evaluation,[],[f469]) ).
tff(f469,plain,
( ( 0 != sK1 )
| $less(0,$sum(-1,0))
| $less(0,$sum(0,$uminus(0)))
| spl3_2 ),
inference(inner_rewriting,[],[f466]) ).
tff(f466,plain,
( $less(0,$sum(-1,sK1))
| $less(0,$sum(0,$uminus(sK1)))
| ( 0 != sK1 )
| spl3_2 ),
inference(evaluation,[],[f464]) ).
tff(f464,plain,
( $less(0,$sum(0,$uminus(sK1)))
| ( sK1 != $product(2,0) )
| $less(0,$sum($sum(sK1,1),$uminus(2)))
| spl3_2 ),
inference(superposition,[],[f376,f350]) ).
tff(f462,plain,
( spl3_12
| ~ spl3_13
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f423,f391,f459,f455]) ).
tff(f423,plain,
( ( 0 != sK0(sK1) )
| ( 1 = sK1 )
| ~ spl3_5 ),
inference(constrained_superposition,[],[f393,f298]) ).
tff(f453,plain,
( spl3_10
| spl3_11
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f426,f391,f450,f446]) ).
tff(f426,plain,
( $less(0,$sum(0,$uminus($sum(sK0(sK1),-1))))
| ( sK1 = $product(2,power1(2,$sum(sK0(sK1),-1))) )
| ~ spl3_5 ),
inference(evaluation,[],[f425]) ).
tff(f425,plain,
( $less(0,$sum(0,$uminus($sum(sK0(sK1),$uminus(1)))))
| ( sK1 = $product(2,power1(2,$sum(sK0(sK1),$uminus(1)))) )
| ~ spl3_5 ),
inference(gaussian_variable_elimination,[],[f420]) ).
tff(f420,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(X0)))
| ( sK1 = $product(2,power1(2,X0)) )
| ( $sum(X0,1) != sK0(sK1) ) )
| ~ spl3_5 ),
inference(constrained_superposition,[],[f393,f358]) ).
tff(f444,plain,
( spl3_8
| ~ spl3_9
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f422,f391,f441,f437]) ).
tff(f422,plain,
( ( 1 != sK0(sK1) )
| ( 2 = sK1 )
| ~ spl3_5 ),
inference(constrained_superposition,[],[f393,f296]) ).
tff(f435,plain,
( spl3_6
| spl3_7
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f424,f391,f432,f429]) ).
tff(f424,plain,
( ! [X0: $int] :
( $less(0,$sum(0,$uminus(sK0(sK1))))
| $less(0,$sum(0,$uminus(X0)))
| ( power1(2,$product(sK0(sK1),X0)) = power1(sK1,X0) ) )
| ~ spl3_5 ),
inference(superposition,[],[f353,f393]) ).
tff(f394,plain,
( spl3_5
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f383,f369,f391]) ).
tff(f383,plain,
( ( sK1 = power1(2,sK0(sK1)) )
| ~ spl3_1 ),
inference(resolution,[],[f371,f311]) ).
tff(f389,plain,
( spl3_4
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f384,f369,f386]) ).
tff(f384,plain,
( $less(0,$sum(1,sK0(sK1)))
| ~ spl3_1 ),
inference(resolution,[],[f371,f340]) ).
tff(f382,plain,
spl3_3,
inference(avatar_split_clause,[],[f367,f379]) ).
tff(f367,plain,
$less(0,$sum(sK1,-1)),
inference(evaluation,[],[f320]) ).
tff(f320,plain,
$less(1,sK1),
inference(cnf_transformation,[],[f245]) ).
tff(f245,plain,
( ( sK1 != $product(2,div1(sK1,2)) )
& $less(1,sK1)
& is_power_of_21(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f201,f244]) ).
tff(f244,plain,
( ? [X0: $int] :
( ( $product(2,div1(X0,2)) != X0 )
& $less(1,X0)
& is_power_of_21(X0) )
=> ( ( sK1 != $product(2,div1(sK1,2)) )
& $less(1,sK1)
& is_power_of_21(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f201,plain,
? [X0: $int] :
( ( $product(2,div1(X0,2)) != X0 )
& $less(1,X0)
& is_power_of_21(X0) ),
inference(flattening,[],[f200]) ).
tff(f200,plain,
? [X0: $int] :
( ( $product(2,div1(X0,2)) != X0 )
& $less(1,X0)
& is_power_of_21(X0) ),
inference(ennf_transformation,[],[f140]) ).
tff(f140,plain,
~ ! [X0: $int] :
( is_power_of_21(X0)
=> ( $less(1,X0)
=> ( $product(2,div1(X0,2)) = X0 ) ) ),
inference(rectify,[],[f68]) ).
tff(f68,negated_conjecture,
~ ! [X1: $int] :
( is_power_of_21(X1)
=> ( $less(1,X1)
=> ( $product(2,div1(X1,2)) = X1 ) ) ),
inference(negated_conjecture,[],[f67]) ).
tff(f67,conjecture,
! [X1: $int] :
( is_power_of_21(X1)
=> ( $less(1,X1)
=> ( $product(2,div1(X1,2)) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_power_of_2_1) ).
tff(f377,plain,
~ spl3_2,
inference(avatar_split_clause,[],[f321,f374]) ).
tff(f321,plain,
sK1 != $product(2,div1(sK1,2)),
inference(cnf_transformation,[],[f245]) ).
tff(f372,plain,
spl3_1,
inference(avatar_split_clause,[],[f319,f369]) ).
tff(f319,plain,
is_power_of_21(sK1),
inference(cnf_transformation,[],[f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW662=2 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:02:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (402)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.19/0.50 % (406)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (417)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (409)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.19/0.51 % (417)Instruction limit reached!
% 0.19/0.51 % (417)------------------------------
% 0.19/0.51 % (417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (417)Termination reason: Unknown
% 0.19/0.51 % (417)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (417)Memory used [KB]: 1023
% 0.19/0.51 % (417)Time elapsed: 0.004 s
% 0.19/0.51 % (417)Instructions burned: 2 (million)
% 0.19/0.51 % (417)------------------------------
% 0.19/0.51 % (417)------------------------------
% 0.19/0.51 % (410)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.19/0.51 % (403)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.51 % (426)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.19/0.52 % (425)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (405)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (424)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.52 % (405)Instruction limit reached!
% 0.19/0.52 % (405)------------------------------
% 0.19/0.52 % (405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (405)Termination reason: Unknown
% 0.19/0.52 % (405)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (405)Memory used [KB]: 1023
% 0.19/0.52 % (405)Time elapsed: 0.003 s
% 0.19/0.52 % (405)Instructions burned: 3 (million)
% 0.19/0.52 % (405)------------------------------
% 0.19/0.52 % (405)------------------------------
% 0.19/0.52 % (418)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (418)Instruction limit reached!
% 0.19/0.52 % (418)------------------------------
% 0.19/0.52 % (418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (418)Termination reason: Unknown
% 0.19/0.52 % (418)Termination phase: Unused predicate definition removal
% 0.19/0.52
% 0.19/0.52 % (418)Memory used [KB]: 1023
% 0.19/0.52 % (418)Time elapsed: 0.004 s
% 0.19/0.52 % (418)Instructions burned: 3 (million)
% 0.19/0.52 % (418)------------------------------
% 0.19/0.52 % (418)------------------------------
% 0.19/0.52 % (414)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (404)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (430)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.52 % (404)Instruction limit reached!
% 0.19/0.52 % (404)------------------------------
% 0.19/0.52 % (404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (404)Termination reason: Unknown
% 0.19/0.52 % (404)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (404)Memory used [KB]: 5628
% 0.19/0.52 % (404)Time elapsed: 0.125 s
% 0.19/0.52 % (404)Instructions burned: 9 (million)
% 0.19/0.52 % (404)------------------------------
% 0.19/0.52 % (404)------------------------------
% 0.19/0.52 % (416)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (431)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.19/0.52 % (422)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (427)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52 % (414)Instruction limit reached!
% 0.19/0.52 % (414)------------------------------
% 0.19/0.52 % (414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (429)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.53 % (428)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53 % (414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (414)Termination reason: Unknown
% 0.19/0.53 % (414)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (414)Memory used [KB]: 1023
% 0.19/0.53 % (414)Time elapsed: 0.003 s
% 0.19/0.53 % (414)Instructions burned: 2 (million)
% 0.19/0.53 % (414)------------------------------
% 0.19/0.53 % (414)------------------------------
% 0.19/0.53 % (423)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.53 % (421)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (421)Instruction limit reached!
% 0.19/0.53 % (421)------------------------------
% 0.19/0.53 % (421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (421)Termination reason: Unknown
% 0.19/0.53 % (421)Termination phase: Preprocessing 1
% 0.19/0.53
% 0.19/0.53 % (421)Memory used [KB]: 1023
% 0.19/0.53 % (421)Time elapsed: 0.003 s
% 0.19/0.53 % (421)Instructions burned: 3 (million)
% 0.19/0.53 % (421)------------------------------
% 0.19/0.53 % (421)------------------------------
% 0.19/0.53 % (419)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53 % (407)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53 % (413)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53 % (408)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.19/0.53 % (413)Instruction limit reached!
% 0.19/0.53 % (413)------------------------------
% 0.19/0.53 % (413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (413)Termination reason: Unknown
% 0.19/0.53 % (413)Termination phase: shuffling
% 0.19/0.53
% 0.19/0.53 % (413)Memory used [KB]: 1023
% 0.19/0.53 % (413)Time elapsed: 0.003 s
% 0.19/0.53 % (413)Instructions burned: 5 (million)
% 0.19/0.53 % (413)------------------------------
% 0.19/0.53 % (413)------------------------------
% 0.19/0.53 % (420)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.54 % (422)Instruction limit reached!
% 0.19/0.54 % (422)------------------------------
% 0.19/0.54 % (422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (422)Termination reason: Unknown
% 0.19/0.54 % (422)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (422)Memory used [KB]: 1407
% 0.19/0.54 % (422)Time elapsed: 0.145 s
% 0.19/0.54 % (422)Instructions burned: 15 (million)
% 0.19/0.54 % (422)------------------------------
% 0.19/0.54 % (422)------------------------------
% 0.19/0.54 % (407)Instruction limit reached!
% 0.19/0.54 % (407)------------------------------
% 0.19/0.54 % (407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (407)Termination reason: Unknown
% 0.19/0.54 % (407)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (407)Memory used [KB]: 5756
% 0.19/0.54 % (407)Time elapsed: 0.139 s
% 0.19/0.54 % (407)Instructions burned: 16 (million)
% 0.19/0.54 % (407)------------------------------
% 0.19/0.54 % (407)------------------------------
% 0.19/0.54 % (412)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.54 % (411)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (411)Instruction limit reached!
% 0.19/0.54 % (411)------------------------------
% 0.19/0.54 % (411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (411)Termination reason: Unknown
% 0.19/0.54 % (411)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (411)Memory used [KB]: 1023
% 0.19/0.54 % (411)Time elapsed: 0.002 s
% 0.19/0.54 % (411)Instructions burned: 2 (million)
% 0.19/0.54 % (411)------------------------------
% 0.19/0.54 % (411)------------------------------
% 0.19/0.54 % (430)Instruction limit reached!
% 0.19/0.54 % (430)------------------------------
% 0.19/0.54 % (430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (415)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.55 % (406)Instruction limit reached!
% 0.19/0.55 % (406)------------------------------
% 0.19/0.55 % (406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (420)Instruction limit reached!
% 0.19/0.55 % (420)------------------------------
% 0.19/0.55 % (420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (420)Termination reason: Unknown
% 0.19/0.55 % (420)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (420)Memory used [KB]: 5756
% 0.19/0.55 % (420)Time elapsed: 0.145 s
% 0.19/0.55 % (420)Instructions burned: 15 (million)
% 0.19/0.55 % (420)------------------------------
% 0.19/0.55 % (420)------------------------------
% 0.19/0.56 % (410)Instruction limit reached!
% 0.19/0.56 % (410)------------------------------
% 0.19/0.56 % (410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (410)Termination reason: Unknown
% 0.19/0.56 % (410)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (410)Memory used [KB]: 6140
% 0.19/0.56 % (410)Time elapsed: 0.150 s
% 0.19/0.56 % (410)Instructions burned: 26 (million)
% 0.19/0.56 % (410)------------------------------
% 0.19/0.56 % (410)------------------------------
% 0.19/0.57 % (429)Instruction limit reached!
% 0.19/0.57 % (429)------------------------------
% 0.19/0.57 % (429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (429)Termination reason: Unknown
% 0.19/0.57 % (429)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (429)Memory used [KB]: 5756
% 0.19/0.57 % (429)Time elapsed: 0.166 s
% 0.19/0.57 % (429)Instructions burned: 21 (million)
% 0.19/0.57 % (429)------------------------------
% 0.19/0.57 % (429)------------------------------
% 0.19/0.57 % (430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (430)Termination reason: Unknown
% 0.19/0.57 % (430)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (430)Memory used [KB]: 5884
% 0.19/0.57 % (430)Time elapsed: 0.137 s
% 0.19/0.57 % (430)Instructions burned: 21 (million)
% 0.19/0.57 % (430)------------------------------
% 0.19/0.57 % (430)------------------------------
% 0.19/0.57 % (406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (406)Termination reason: Unknown
% 0.19/0.57 % (406)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (406)Memory used [KB]: 6140
% 0.19/0.57 % (406)Time elapsed: 0.157 s
% 0.19/0.57 % (406)Instructions burned: 38 (million)
% 0.19/0.57 % (406)------------------------------
% 0.19/0.57 % (406)------------------------------
% 0.19/0.57 % (409)Instruction limit reached!
% 0.19/0.57 % (409)------------------------------
% 0.19/0.57 % (409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (423)Instruction limit reached!
% 0.19/0.57 % (423)------------------------------
% 0.19/0.57 % (423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (423)Termination reason: Unknown
% 0.19/0.57 % (423)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (423)Memory used [KB]: 5884
% 0.19/0.57 % (423)Time elapsed: 0.166 s
% 0.19/0.57 % (423)Instructions burned: 22 (million)
% 0.19/0.57 % (423)------------------------------
% 0.19/0.57 % (423)------------------------------
% 0.19/0.57 % (415)Instruction limit reached!
% 0.19/0.57 % (415)------------------------------
% 0.19/0.57 % (415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (415)Termination reason: Unknown
% 0.19/0.57 % (415)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (415)Memory used [KB]: 5756
% 0.19/0.57 % (415)Time elapsed: 0.167 s
% 0.19/0.57 % (415)Instructions burned: 22 (million)
% 0.19/0.57 % (415)------------------------------
% 0.19/0.57 % (415)------------------------------
% 0.19/0.58 % (408)Instruction limit reached!
% 0.19/0.58 % (408)------------------------------
% 0.19/0.58 % (408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (408)Termination reason: Unknown
% 0.19/0.58 % (408)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (408)Memory used [KB]: 5884
% 0.19/0.58 % (408)Time elapsed: 0.140 s
% 0.19/0.58 % (408)Instructions burned: 33 (million)
% 0.19/0.58 % (408)------------------------------
% 0.19/0.58 % (408)------------------------------
% 0.19/0.58 % (409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (409)Termination reason: Unknown
% 0.19/0.58 % (409)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (409)Memory used [KB]: 6012
% 0.19/0.58 % (409)Time elapsed: 0.164 s
% 0.19/0.58 % (409)Instructions burned: 36 (million)
% 0.19/0.58 % (409)------------------------------
% 0.19/0.58 % (409)------------------------------
% 0.19/0.59 % (403)Instruction limit reached!
% 0.19/0.59 % (403)------------------------------
% 0.19/0.59 % (403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (403)Termination reason: Unknown
% 0.19/0.59 % (403)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (403)Memory used [KB]: 6012
% 0.19/0.59 % (403)Time elapsed: 0.158 s
% 0.19/0.59 % (403)Instructions burned: 34 (million)
% 0.19/0.59 % (403)------------------------------
% 0.19/0.59 % (403)------------------------------
% 0.19/0.59 % (412)Instruction limit reached!
% 0.19/0.59 % (412)------------------------------
% 0.19/0.59 % (412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (412)Termination reason: Unknown
% 0.19/0.59 % (412)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (412)Memory used [KB]: 6140
% 0.19/0.59 % (412)Time elapsed: 0.199 s
% 0.19/0.59 % (412)Instructions burned: 36 (million)
% 0.19/0.59 % (412)------------------------------
% 0.19/0.59 % (412)------------------------------
% 0.19/0.59 % (428)Instruction limit reached!
% 0.19/0.59 % (428)------------------------------
% 0.19/0.59 % (428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (428)Termination reason: Unknown
% 0.19/0.59 % (428)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (428)Memory used [KB]: 6524
% 0.19/0.59 % (428)Time elapsed: 0.168 s
% 0.19/0.59 % (428)Instructions burned: 43 (million)
% 0.19/0.59 % (428)------------------------------
% 0.19/0.59 % (428)------------------------------
% 0.19/0.59 % (424)Instruction limit reached!
% 0.19/0.59 % (424)------------------------------
% 0.19/0.59 % (424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (424)Termination reason: Unknown
% 0.19/0.59 % (424)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (424)Memory used [KB]: 1791
% 0.19/0.59 % (424)Time elapsed: 0.160 s
% 0.19/0.59 % (424)Instructions burned: 48 (million)
% 0.19/0.59 % (424)------------------------------
% 0.19/0.59 % (424)------------------------------
% 0.19/0.60 % (427)Instruction limit reached!
% 0.19/0.60 % (427)------------------------------
% 0.19/0.60 % (427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (427)Termination reason: Unknown
% 0.19/0.60 % (427)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (427)Memory used [KB]: 6268
% 0.19/0.60 % (427)Time elapsed: 0.184 s
% 0.19/0.60 % (427)Instructions burned: 43 (million)
% 0.19/0.60 % (427)------------------------------
% 0.19/0.60 % (427)------------------------------
% 0.19/0.60 % (419)Instruction limit reached!
% 0.19/0.60 % (419)------------------------------
% 0.19/0.60 % (419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (419)Termination reason: Unknown
% 0.19/0.60 % (419)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (419)Memory used [KB]: 6140
% 0.19/0.60 % (419)Time elapsed: 0.212 s
% 0.19/0.60 % (419)Instructions burned: 49 (million)
% 0.19/0.60 % (419)------------------------------
% 0.19/0.60 % (419)------------------------------
% 0.19/0.60 % (416)Instruction limit reached!
% 0.19/0.60 % (416)------------------------------
% 0.19/0.60 % (416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (416)Termination reason: Unknown
% 0.19/0.60 % (416)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (416)Memory used [KB]: 6652
% 0.19/0.60 % (416)Time elapsed: 0.171 s
% 0.19/0.60 % (416)Instructions burned: 51 (million)
% 0.19/0.60 % (416)------------------------------
% 0.19/0.60 % (416)------------------------------
% 0.19/0.60 % (425)Instruction limit reached!
% 0.19/0.60 % (425)------------------------------
% 0.19/0.60 % (425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (425)Termination reason: Unknown
% 0.19/0.60 % (425)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (425)Memory used [KB]: 6140
% 0.19/0.60 % (425)Time elapsed: 0.189 s
% 0.19/0.60 % (425)Instructions burned: 50 (million)
% 0.19/0.60 % (425)------------------------------
% 0.19/0.60 % (425)------------------------------
% 0.19/0.61 % (431)Instruction limit reached!
% 0.19/0.61 % (431)------------------------------
% 0.19/0.61 % (431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61 % (431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61 % (431)Termination reason: Unknown
% 0.19/0.61 % (431)Termination phase: Saturation
% 0.19/0.61
% 0.19/0.61 % (431)Memory used [KB]: 6268
% 0.19/0.61 % (431)Time elapsed: 0.210 s
% 0.19/0.61 % (431)Instructions burned: 42 (million)
% 0.19/0.61 % (431)------------------------------
% 0.19/0.61 % (431)------------------------------
% 2.01/0.61 % (426)Instruction limit reached!
% 2.01/0.61 % (426)------------------------------
% 2.01/0.61 % (426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61 % (426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61 % (426)Termination reason: Unknown
% 2.01/0.61 % (426)Termination phase: Saturation
% 2.01/0.61
% 2.01/0.61 % (426)Memory used [KB]: 1535
% 2.01/0.61 % (426)Time elapsed: 0.180 s
% 2.01/0.61 % (426)Instructions burned: 48 (million)
% 2.01/0.61 % (426)------------------------------
% 2.01/0.61 % (426)------------------------------
% 2.28/0.64 % (432)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.28/0.65 % (433)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 2.28/0.65 % (436)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.28/0.65 % (434)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.28/0.66 % (439)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 2.28/0.66 % (435)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.28/0.66 % (432)Instruction limit reached!
% 2.28/0.66 % (432)------------------------------
% 2.28/0.66 % (432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.66 % (432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.66 % (432)Termination reason: Unknown
% 2.28/0.66 % (432)Termination phase: Saturation
% 2.28/0.66
% 2.28/0.66 % (432)Memory used [KB]: 5884
% 2.28/0.66 % (432)Time elapsed: 0.077 s
% 2.28/0.66 % (432)Instructions burned: 15 (million)
% 2.28/0.66 % (432)------------------------------
% 2.28/0.66 % (432)------------------------------
% 2.28/0.67 % (438)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.28/0.68 % (437)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.28/0.68 % (443)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.28/0.68 % (440)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/108Mi)
% 2.28/0.69 % (441)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.28/0.69 % (442)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.28/0.70 % (449)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.28/0.70 % (445)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.70/0.70 % (446)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.70/0.71 % (434)Instruction limit reached!
% 2.70/0.71 % (434)------------------------------
% 2.70/0.71 % (434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.71 % (434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.71 % (434)Termination reason: Unknown
% 2.70/0.71 % (434)Termination phase: Saturation
% 2.70/0.71
% 2.70/0.71 % (434)Memory used [KB]: 5884
% 2.70/0.71 % (434)Time elapsed: 0.133 s
% 2.70/0.71 % (434)Instructions burned: 26 (million)
% 2.70/0.71 % (434)------------------------------
% 2.70/0.71 % (434)------------------------------
% 2.70/0.71 % (447)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.70/0.71 % (448)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.70/0.72 % (451)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.70/0.72 % (458)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.70/0.72 % (452)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.70/0.73 % (453)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.70/0.73 % (454)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.70/0.73 % (455)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.70/0.73 % (457)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.70/0.74 % (456)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.70/0.74 % (450)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.70/0.74 % (444)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.70/0.75 % (459)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.70/0.75 % (460)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/230Mi)
% 2.70/0.75 % (433)Instruction limit reached!
% 2.70/0.75 % (433)------------------------------
% 2.70/0.75 % (433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.70/0.75 % (433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.70/0.75 % (433)Termination reason: Unknown
% 2.70/0.75 % (433)Termination phase: Saturation
% 2.70/0.75
% 2.70/0.75 % (433)Memory used [KB]: 6268
% 2.70/0.75 % (433)Time elapsed: 0.189 s
% 2.70/0.75 % (433)Instructions burned: 47 (million)
% 2.70/0.75 % (433)------------------------------
% 2.70/0.75 % (433)------------------------------
% 3.00/0.78 % (438)Instruction limit reached!
% 3.00/0.78 % (438)------------------------------
% 3.00/0.78 % (438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.78 % (438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.78 % (438)Termination reason: Unknown
% 3.00/0.78 % (438)Termination phase: Saturation
% 3.00/0.78
% 3.00/0.78 % (438)Memory used [KB]: 6524
% 3.00/0.78 % (438)Time elapsed: 0.194 s
% 3.00/0.78 % (438)Instructions burned: 58 (million)
% 3.00/0.78 % (438)------------------------------
% 3.00/0.78 % (438)------------------------------
% 3.00/0.79 % (461)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/360Mi)
% 3.00/0.82 % (437)Instruction limit reached!
% 3.00/0.82 % (437)------------------------------
% 3.00/0.82 % (437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.82 % (437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.82 % (437)Termination reason: Unknown
% 3.00/0.82 % (437)Termination phase: Saturation
% 3.00/0.82
% 3.00/0.82 % (437)Memory used [KB]: 6652
% 3.00/0.82 % (437)Time elapsed: 0.253 s
% 3.00/0.82 % (437)Instructions burned: 78 (million)
% 3.00/0.82 % (437)------------------------------
% 3.00/0.82 % (437)------------------------------
% 3.00/0.82 % (439)Instruction limit reached!
% 3.00/0.82 % (439)------------------------------
% 3.00/0.82 % (439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.82 % (439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.82 % (439)Termination reason: Unknown
% 3.00/0.82 % (439)Termination phase: Saturation
% 3.00/0.82
% 3.00/0.82 % (439)Memory used [KB]: 5756
% 3.00/0.82 % (439)Time elapsed: 0.247 s
% 3.00/0.82 % (439)Instructions burned: 96 (million)
% 3.00/0.82 % (439)------------------------------
% 3.00/0.82 % (439)------------------------------
% 3.00/0.82 % (440)Instruction limit reached!
% 3.00/0.82 % (440)------------------------------
% 3.00/0.82 % (440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.82 % (440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.82 % (440)Termination reason: Unknown
% 3.00/0.82 % (440)Termination phase: Saturation
% 3.00/0.82
% 3.00/0.82 % (440)Memory used [KB]: 5884
% 3.00/0.82 % (440)Time elapsed: 0.045 s
% 3.00/0.82 % (440)Instructions burned: 111 (million)
% 3.00/0.82 % (440)------------------------------
% 3.00/0.82 % (440)------------------------------
% 3.00/0.84 % (436)Instruction limit reached!
% 3.00/0.84 % (436)------------------------------
% 3.00/0.84 % (436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.84 % (436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.84 % (436)Termination reason: Unknown
% 3.00/0.84 % (436)Termination phase: Saturation
% 3.00/0.84
% 3.00/0.84 % (436)Memory used [KB]: 6908
% 3.00/0.84 % (436)Time elapsed: 0.282 s
% 3.00/0.84 % (436)Instructions burned: 101 (million)
% 3.00/0.84 % (436)------------------------------
% 3.00/0.84 % (436)------------------------------
% 3.00/0.85 % (462)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 3.57/0.88 % (450)Instruction limit reached!
% 3.57/0.88 % (450)------------------------------
% 3.57/0.88 % (450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.57/0.88 % (450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.57/0.88 % (450)Termination reason: Unknown
% 3.57/0.88 % (450)Termination phase: Saturation
% 3.57/0.88
% 3.57/0.88 % (450)Memory used [KB]: 6524
% 3.57/0.88 % (450)Time elapsed: 0.265 s
% 3.57/0.88 % (450)Instructions burned: 81 (million)
% 3.57/0.88 % (450)------------------------------
% 3.57/0.88 % (450)------------------------------
% 3.57/0.89 % (463)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/256Mi)
% 3.68/0.91 % (435)Instruction limit reached!
% 3.68/0.91 % (435)------------------------------
% 3.68/0.91 % (435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.91 % (435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.91 % (435)Termination reason: Unknown
% 3.68/0.91 % (435)Termination phase: Saturation
% 3.68/0.91
% 3.68/0.91 % (435)Memory used [KB]: 6652
% 3.68/0.91 % (435)Time elapsed: 0.343 s
% 3.68/0.91 % (435)Instructions burned: 149 (million)
% 3.68/0.91 % (435)------------------------------
% 3.68/0.91 % (435)------------------------------
% 3.68/0.91 % (464)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 3.68/0.92 % (446)Instruction limit reached!
% 3.68/0.92 % (446)------------------------------
% 3.68/0.92 % (446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.68/0.92 % (446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.68/0.92 % (446)Termination reason: Unknown
% 3.68/0.92 % (446)Termination phase: Saturation
% 3.68/0.92
% 3.68/0.92 % (446)Memory used [KB]: 1791
% 3.68/0.92 % (446)Time elapsed: 0.319 s
% 3.68/0.92 % (446)Instructions burned: 151 (million)
% 3.68/0.92 % (446)------------------------------
% 3.68/0.92 % (446)------------------------------
% 3.85/0.94 % (451)Instruction limit reached!
% 3.85/0.94 % (451)------------------------------
% 3.85/0.94 % (451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.85/0.94 % (451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.85/0.94 % (451)Termination reason: Unknown
% 3.85/0.94 % (451)Termination phase: Saturation
% 3.85/0.94
% 3.85/0.94 % (451)Memory used [KB]: 1791
% 3.85/0.94 % (451)Time elapsed: 0.335 s
% 3.85/0.94 % (451)Instructions burned: 146 (million)
% 3.85/0.94 % (451)------------------------------
% 3.85/0.94 % (451)------------------------------
% 3.85/0.95 % (447)Instruction limit reached!
% 3.85/0.95 % (447)------------------------------
% 3.85/0.95 % (447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.85/0.95 % (447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.85/0.95 % (447)Termination reason: Unknown
% 3.85/0.95 % (447)Termination phase: Saturation
% 3.85/0.95
% 3.85/0.95 % (447)Memory used [KB]: 1791
% 3.85/0.95 % (447)Time elapsed: 0.321 s
% 3.85/0.95 % (447)Instructions burned: 161 (million)
% 3.85/0.95 % (447)------------------------------
% 3.85/0.95 % (447)------------------------------
% 3.85/0.95 % (466)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/501Mi)
% 3.85/0.95 % (465)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3721Mi)
% 3.85/0.97 % (467)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1705Mi)
% 3.85/0.98 % (468)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2416Mi)
% 4.11/1.02 % (469)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1683Mi)
% 4.11/1.04 % (470)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 4.11/1.04 % (443)Instruction limit reached!
% 4.11/1.04 % (443)------------------------------
% 4.11/1.04 % (443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.11/1.04 % (443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.11/1.04 % (443)Termination reason: Unknown
% 4.11/1.04 % (443)Termination phase: Saturation
% 4.11/1.04
% 4.11/1.04 % (443)Memory used [KB]: 2174
% 4.11/1.04 % (443)Time elapsed: 0.453 s
% 4.11/1.04 % (443)Instructions burned: 223 (million)
% 4.11/1.04 % (443)------------------------------
% 4.11/1.04 % (443)------------------------------
% 4.11/1.05 % (471)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 4.32/1.07 % (456)Refutation not found, non-redundant clauses discarded% (456)------------------------------
% 4.32/1.07 % (456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.32/1.07 % (456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.32/1.07 % (456)Termination reason: Refutation not found, non-redundant clauses discarded
% 4.32/1.07
% 4.32/1.07 % (456)Memory used [KB]: 8059
% 4.32/1.07 % (456)Time elapsed: 0.431 s
% 4.32/1.07 % (456)Instructions burned: 178 (million)
% 4.32/1.07 % (456)------------------------------
% 4.32/1.07 % (456)------------------------------
% 4.32/1.07 % (460)Instruction limit reached!
% 4.32/1.07 % (460)------------------------------
% 4.32/1.07 % (460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.32/1.07 % (460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.32/1.07 % (460)Termination reason: Unknown
% 4.32/1.07 % (460)Termination phase: Saturation
% 4.32/1.07
% 4.32/1.07 % (460)Memory used [KB]: 1663
% 4.32/1.07 % (460)Time elapsed: 0.420 s
% 4.32/1.07 % (460)Instructions burned: 230 (million)
% 4.32/1.07 % (460)------------------------------
% 4.32/1.07 % (460)------------------------------
% 4.32/1.07 % (473)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3217Mi)
% 4.32/1.08 % (452)Instruction limit reached!
% 4.32/1.08 % (452)------------------------------
% 4.32/1.08 % (452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.32/1.08 % (452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.32/1.08 % (452)Termination reason: Unknown
% 4.32/1.08 % (452)Termination phase: Saturation
% 4.32/1.08
% 4.32/1.08 % (452)Memory used [KB]: 8187
% 4.32/1.08 % (452)Time elapsed: 0.473 s
% 4.32/1.08 % (452)Instructions burned: 212 (million)
% 4.32/1.08 % (452)------------------------------
% 4.32/1.08 % (452)------------------------------
% 4.32/1.09 % (474)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3528Mi)
% 4.32/1.16 % (453)Instruction limit reached!
% 4.32/1.16 % (453)------------------------------
% 4.32/1.16 % (453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.32/1.16 % (453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.32/1.16 % (453)Termination reason: Unknown
% 4.32/1.16 % (453)Termination phase: Saturation
% 4.32/1.16
% 4.32/1.16 % (453)Memory used [KB]: 7803
% 4.32/1.16 % (453)Time elapsed: 0.536 s
% 4.32/1.16 % (453)Instructions burned: 274 (million)
% 4.32/1.16 % (453)------------------------------
% 4.32/1.16 % (453)------------------------------
% 4.32/1.17 % (455)Instruction limit reached!
% 4.32/1.17 % (455)------------------------------
% 4.32/1.17 % (455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.32/1.17 % (455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.32/1.17 % (455)Termination reason: Unknown
% 4.32/1.17 % (455)Termination phase: Saturation
% 4.32/1.17
% 4.32/1.17 % (455)Memory used [KB]: 1535
% 4.32/1.17 % (455)Time elapsed: 0.559 s
% 4.32/1.17 % (455)Instructions burned: 294 (million)
% 4.32/1.17 % (455)------------------------------
% 4.32/1.17 % (455)------------------------------
% 6.46/1.18 % (475)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2304Mi)
% 6.46/1.19 % (471)Instruction limit reached!
% 6.46/1.19 % (471)------------------------------
% 6.46/1.19 % (471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.46/1.19 % (471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.46/1.19 % (471)Termination reason: Unknown
% 6.46/1.19 % (471)Termination phase: Saturation
% 6.46/1.19
% 6.46/1.19 % (471)Memory used [KB]: 1279
% 6.46/1.19 % (471)Time elapsed: 0.247 s
% 6.46/1.19 % (471)Instructions burned: 113 (million)
% 6.46/1.19 % (471)------------------------------
% 6.46/1.19 % (471)------------------------------
% 6.46/1.20 % (476)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3780Mi)
% 6.46/1.20 % (477)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/238Mi)
% 6.79/1.22 % (478)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/656Mi)
% 6.79/1.23 % (448)Instruction limit reached!
% 6.79/1.23 % (448)------------------------------
% 6.79/1.23 % (448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.79/1.23 % (448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.79/1.23 % (448)Termination reason: Unknown
% 6.79/1.23 % (448)Termination phase: Saturation
% 6.79/1.23
% 6.79/1.23 % (448)Memory used [KB]: 2430
% 6.79/1.23 % (448)Time elapsed: 0.621 s
% 6.79/1.23 % (448)Instructions burned: 371 (million)
% 6.79/1.23 % (448)------------------------------
% 6.79/1.23 % (448)------------------------------
% 7.03/1.25 % (461)Instruction limit reached!
% 7.03/1.25 % (461)------------------------------
% 7.03/1.25 % (461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.25 % (461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.25 % (461)Termination reason: Unknown
% 7.03/1.25 % (461)Termination phase: Saturation
% 7.03/1.25
% 7.03/1.25 % (461)Memory used [KB]: 3070
% 7.03/1.25 % (461)Time elapsed: 0.454 s
% 7.03/1.25 % (461)Instructions burned: 360 (million)
% 7.03/1.25 % (461)------------------------------
% 7.03/1.25 % (461)------------------------------
% 7.03/1.28 % (457)Instruction limit reached!
% 7.03/1.28 % (457)------------------------------
% 7.03/1.28 % (457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.28 % (457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.28 % (457)Termination reason: Unknown
% 7.03/1.28 % (457)Termination phase: Saturation
% 7.03/1.28
% 7.03/1.28 % (457)Memory used [KB]: 3070
% 7.03/1.28 % (457)Time elapsed: 0.620 s
% 7.03/1.28 % (457)Instructions burned: 376 (million)
% 7.03/1.28 % (457)------------------------------
% 7.03/1.28 % (457)------------------------------
% 7.03/1.29 % (454)Refutation not found, non-redundant clauses discarded% (454)------------------------------
% 7.03/1.29 % (454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.29 % (454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.29 % (454)Termination reason: Refutation not found, non-redundant clauses discarded
% 7.03/1.29
% 7.03/1.29 % (454)Memory used [KB]: 8827
% 7.03/1.29 % (454)Time elapsed: 0.676 s
% 7.03/1.29 % (454)Instructions burned: 329 (million)
% 7.03/1.29 % (454)------------------------------
% 7.03/1.29 % (454)------------------------------
% 7.03/1.29 % (479)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/485Mi)
% 7.03/1.31 % (458)Instruction limit reached!
% 7.03/1.31 % (458)------------------------------
% 7.03/1.31 % (458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.32 % (458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.32 % (458)Termination reason: Unknown
% 7.03/1.32 % (458)Termination phase: Saturation
% 7.03/1.32
% 7.03/1.32 % (458)Memory used [KB]: 12153
% 7.03/1.32 % (458)Time elapsed: 0.591 s
% 7.03/1.32 % (458)Instructions burned: 500 (million)
% 7.03/1.32 % (458)------------------------------
% 7.03/1.32 % (458)------------------------------
% 7.03/1.32 % (442)Instruction limit reached!
% 7.03/1.32 % (442)------------------------------
% 7.03/1.32 % (442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.03/1.32 % (442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.03/1.32 % (442)Termination reason: Unknown
% 7.03/1.32 % (442)Termination phase: Saturation
% 7.03/1.32
% 7.03/1.32 % (442)Memory used [KB]: 2430
% 7.03/1.32 % (442)Time elapsed: 0.716 s
% 7.03/1.32 % (442)Instructions burned: 496 (million)
% 7.03/1.32 % (442)------------------------------
% 7.03/1.32 % (442)------------------------------
% 7.03/1.33 % (493)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/980Mi)
% 7.68/1.33 % (463)Instruction limit reached!
% 7.68/1.33 % (463)------------------------------
% 7.68/1.33 % (463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.68/1.33 % (463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.68/1.33 % (463)Termination reason: Unknown
% 7.68/1.33 % (463)Termination phase: Saturation
% 7.68/1.33
% 7.68/1.33 % (463)Memory used [KB]: 3326
% 7.68/1.33 % (463)Time elapsed: 0.530 s
% 7.68/1.33 % (463)Instructions burned: 258 (million)
% 7.68/1.33 % (463)------------------------------
% 7.68/1.33 % (463)------------------------------
% 7.68/1.34 % (444)Instruction limit reached!
% 7.68/1.34 % (444)------------------------------
% 7.68/1.34 % (444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.68/1.34 % (444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.68/1.34 % (444)Termination reason: Unknown
% 7.68/1.34 % (444)Termination phase: Saturation
% 7.68/1.34
% 7.68/1.34 % (444)Memory used [KB]: 1791
% 7.68/1.34 % (444)Time elapsed: 0.733 s
% 7.68/1.34 % (444)Instructions burned: 344 (million)
% 7.68/1.34 % (444)------------------------------
% 7.68/1.34 % (444)------------------------------
% 7.68/1.34 % (480)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1302Mi)
% 7.68/1.36 % (494)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/591Mi)
% 7.68/1.37 % (495)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/638Mi)
% 7.98/1.42 % (496)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/947Mi)
% 7.98/1.43 % (497)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/691Mi)
% 7.98/1.43 % (462)Instruction limit reached!
% 7.98/1.43 % (462)------------------------------
% 7.98/1.43 % (462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.98/1.43 % (462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.98/1.43 % (462)Termination reason: Unknown
% 7.98/1.43 % (462)Termination phase: Saturation
% 7.98/1.43
% 7.98/1.43 % (462)Memory used [KB]: 3070
% 7.98/1.43 % (462)Time elapsed: 0.686 s
% 7.98/1.43 % (462)Instructions burned: 383 (million)
% 7.98/1.43 % (462)------------------------------
% 7.98/1.43 % (462)------------------------------
% 8.30/1.45 % (449)Instruction limit reached!
% 8.30/1.45 % (449)------------------------------
% 8.30/1.45 % (449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.45 % (449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.45 % (449)Termination reason: Unknown
% 8.30/1.45 % (449)Termination phase: Saturation
% 8.30/1.45
% 8.30/1.45 % (449)Memory used [KB]: 3582
% 8.30/1.45 % (449)Time elapsed: 0.854 s
% 8.30/1.45 % (449)Instructions burned: 493 (million)
% 8.30/1.45 % (449)------------------------------
% 8.30/1.45 % (449)------------------------------
% 8.35/1.46 % (502)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/361Mi)
% 8.35/1.47 % (503)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3058Mi)
% 8.35/1.47 % (501)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/370Mi)
% 8.35/1.48 % (441)Instruction limit reached!
% 8.35/1.48 % (441)------------------------------
% 8.35/1.48 % (441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.35/1.48 % (441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.35/1.48 % (441)Termination reason: Unknown
% 8.35/1.48 % (441)Termination phase: Saturation
% 8.35/1.48
% 8.35/1.48 % (441)Memory used [KB]: 9850
% 8.35/1.48 % (441)Time elapsed: 0.901 s
% 8.35/1.48 % (441)Instructions burned: 463 (million)
% 8.35/1.48 % (441)------------------------------
% 8.35/1.48 % (441)------------------------------
% 8.35/1.49 % (445)Instruction limit reached!
% 8.35/1.49 % (445)------------------------------
% 8.35/1.49 % (445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.35/1.49 % (445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.35/1.49 % (445)Termination reason: Unknown
% 8.35/1.49 % (445)Termination phase: Saturation
% 8.35/1.49
% 8.35/1.49 % (445)Memory used [KB]: 6396
% 8.35/1.49 % (445)Time elapsed: 0.889 s
% 8.35/1.49 % (445)Instructions burned: 488 (million)
% 8.35/1.49 % (445)------------------------------
% 8.35/1.49 % (445)------------------------------
% 8.51/1.53 % (504)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1198Mi)
% 8.65/1.54 % (505)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/2501Mi)
% 8.65/1.55 % (470)Instruction limit reached!
% 8.65/1.55 % (470)------------------------------
% 8.65/1.55 % (470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.65/1.55 % (470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.65/1.55 % (470)Termination reason: Unknown
% 8.65/1.55 % (470)Termination phase: Saturation
% 8.65/1.55
% 8.65/1.55 % (470)Memory used [KB]: 4733
% 8.65/1.55 % (470)Time elapsed: 0.616 s
% 8.65/1.55 % (470)Instructions burned: 331 (million)
% 8.65/1.55 % (470)------------------------------
% 8.65/1.55 % (470)------------------------------
% 8.65/1.55 % (459)Instruction limit reached!
% 8.65/1.55 % (459)------------------------------
% 8.65/1.55 % (459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.65/1.55 % (459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.65/1.55 % (477)Instruction limit reached!
% 8.65/1.55 % (477)------------------------------
% 8.65/1.55 % (477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.65/1.55 % (459)Termination reason: Unknown
% 8.65/1.55 % (459)Termination phase: Saturation
% 8.65/1.55 % (477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.65/1.55
% 8.65/1.55 % (477)Termination reason: Unknown
% 8.65/1.55 % (477)Termination phase: Saturation
% 8.65/1.55
% 8.65/1.55 % (459)Memory used [KB]: 6652
% 8.65/1.55 % (459)Time elapsed: 0.904 s
% 8.65/1.55 % (477)Memory used [KB]: 2174
% 8.65/1.55 % (459)Instructions burned: 489 (million)
% 8.65/1.55 % (477)Time elapsed: 0.456 s
% 8.65/1.55 % (477)Instructions burned: 240 (million)
% 8.65/1.55 % (459)------------------------------
% 8.65/1.55 % (459)------------------------------
% 8.65/1.55 % (477)------------------------------
% 8.65/1.55 % (477)------------------------------
% 8.65/1.59 % (506)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/256Mi)
% 8.65/1.61 % (508)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1168Mi)
% 8.65/1.62 % (507)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/217Mi)
% 9.17/1.69 % (510)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/4966Mi)
% 9.17/1.69 % (509)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1006Mi)
% 9.17/1.71 % (511)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4835Mi)
% 11.79/1.84 % (466)Instruction limit reached!
% 11.79/1.84 % (466)------------------------------
% 11.79/1.84 % (466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.79/1.84 % (466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.79/1.84 % (466)Termination reason: Unknown
% 11.79/1.84 % (466)Termination phase: Saturation
% 11.79/1.84
% 11.79/1.84 % (466)Memory used [KB]: 9594
% 11.79/1.84 % (466)Time elapsed: 0.976 s
% 11.79/1.84 % (466)Instructions burned: 503 (million)
% 11.79/1.84 % (466)------------------------------
% 11.79/1.84 % (466)------------------------------
% 12.44/1.94 % (502)Instruction limit reached!
% 12.44/1.94 % (502)------------------------------
% 12.44/1.94 % (502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.44/1.94 % (502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.44/1.94 % (502)Termination reason: Unknown
% 12.44/1.94 % (502)Termination phase: Saturation
% 12.44/1.94
% 12.44/1.94 % (502)Memory used [KB]: 2174
% 12.44/1.94 % (502)Time elapsed: 0.575 s
% 12.44/1.94 % (502)Instructions burned: 362 (million)
% 12.44/1.94 % (502)------------------------------
% 12.44/1.94 % (502)------------------------------
% 12.89/1.99 % (512)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/3932Mi)
% 12.89/2.01 % (507)Instruction limit reached!
% 12.89/2.01 % (507)------------------------------
% 12.89/2.01 % (507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.89/2.02 % (507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.89/2.02 % (507)Termination reason: Unknown
% 12.89/2.02 % (507)Termination phase: Saturation
% 12.89/2.02
% 12.89/2.02 % (507)Memory used [KB]: 7291
% 12.89/2.02 % (507)Time elapsed: 0.503 s
% 12.89/2.02 % (507)Instructions burned: 219 (million)
% 12.89/2.02 % (507)------------------------------
% 12.89/2.02 % (507)------------------------------
% 12.89/2.05 % (479)Instruction limit reached!
% 12.89/2.05 % (479)------------------------------
% 12.89/2.05 % (479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.89/2.05 % (506)Instruction limit reached!
% 12.89/2.05 % (506)------------------------------
% 12.89/2.05 % (506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.89/2.05 % (506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.89/2.05 % (506)Termination reason: Unknown
% 12.89/2.05 % (506)Termination phase: Saturation
% 12.89/2.05
% 12.89/2.05 % (506)Memory used [KB]: 3326
% 12.89/2.05 % (506)Time elapsed: 0.579 s
% 12.89/2.05 % (506)Instructions burned: 256 (million)
% 12.89/2.05 % (506)------------------------------
% 12.89/2.05 % (506)------------------------------
% 13.43/2.07 % (513)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/1742Mi)
% 13.43/2.07 % (479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.43/2.07 % (479)Termination reason: Unknown
% 13.43/2.07 % (479)Termination phase: Saturation
% 13.43/2.07
% 13.43/2.07 % (479)Memory used [KB]: 4221
% 13.43/2.07 % (479)Time elapsed: 0.846 s
% 13.43/2.07 % (479)Instructions burned: 487 (million)
% 13.43/2.07 % (479)------------------------------
% 13.43/2.07 % (479)------------------------------
% 13.87/2.12 % (501)Instruction limit reached!
% 13.87/2.12 % (501)------------------------------
% 13.87/2.12 % (501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.87/2.13 % (478)Instruction limit reached!
% 13.87/2.13 % (478)------------------------------
% 13.87/2.13 % (478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.87/2.13 % (478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.87/2.13 % (478)Termination reason: Unknown
% 13.87/2.13 % (478)Termination phase: Saturation
% 13.87/2.13
% 13.87/2.13 % (478)Memory used [KB]: 4733
% 13.87/2.13 % (478)Time elapsed: 1.015 s
% 13.87/2.13 % (478)Instructions burned: 658 (million)
% 13.87/2.13 % (478)------------------------------
% 13.87/2.13 % (478)------------------------------
% 13.87/2.13 % (501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.87/2.13 % (501)Termination reason: Unknown
% 13.87/2.13 % (501)Termination phase: Saturation
% 13.87/2.13
% 13.87/2.13 % (501)Memory used [KB]: 4221
% 13.87/2.13 % (501)Time elapsed: 0.717 s
% 13.87/2.13 % (501)Instructions burned: 371 (million)
% 13.87/2.13 % (501)------------------------------
% 13.87/2.13 % (501)------------------------------
% 14.05/2.14 % (514)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/3843Mi)
% 14.05/2.19 % (515)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/947Mi)
% 14.05/2.19 % (494)Instruction limit reached!
% 14.05/2.19 % (494)------------------------------
% 14.05/2.19 % (494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.05/2.19 % (494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.05/2.19 % (494)Termination reason: Unknown
% 14.05/2.19 % (494)Termination phase: Saturation
% 14.05/2.19
% 14.05/2.19 % (494)Memory used [KB]: 12920
% 14.05/2.19 % (494)Time elapsed: 0.265 s
% 14.05/2.19 % (494)Instructions burned: 592 (million)
% 14.05/2.19 % (494)------------------------------
% 14.05/2.19 % (494)------------------------------
% 14.05/2.21 % (516)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/3622Mi)
% 14.58/2.28 % (519)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1518Mi)
% 15.30/2.30 % (518)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/4725Mi)
% 15.30/2.34 % (495)Instruction limit reached!
% 15.30/2.34 % (495)------------------------------
% 15.30/2.34 % (495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.30/2.34 % (495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.30/2.34 % (495)Termination reason: Unknown
% 15.30/2.34 % (495)Termination phase: Saturation
% 15.30/2.34
% 15.30/2.34 % (495)Memory used [KB]: 7036
% 15.30/2.34 % (495)Time elapsed: 0.984 s
% 15.30/2.34 % (495)Instructions burned: 638 (million)
% 15.30/2.34 % (495)------------------------------
% 15.30/2.34 % (495)------------------------------
% 15.30/2.35 % (520)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2661:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/2661Mi)
% 16.07/2.41 % (464)Instruction limit reached!
% 16.07/2.41 % (464)------------------------------
% 16.07/2.41 % (464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.07/2.41 % (464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.07/2.41 % (464)Termination reason: Unknown
% 16.07/2.41 % (464)Termination phase: Saturation
% 16.07/2.41
% 16.07/2.41 % (464)Memory used [KB]: 14583
% 16.07/2.41 % (464)Time elapsed: 1.573 s
% 16.07/2.41 % (464)Instructions burned: 1008 (million)
% 16.07/2.41 % (464)------------------------------
% 16.07/2.41 % (464)------------------------------
% 16.45/2.47 % (521)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1324Mi)
% 16.45/2.49 % (497)Instruction limit reached!
% 16.45/2.49 % (497)------------------------------
% 16.45/2.49 % (497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.45/2.49 % (497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.45/2.49 % (497)Termination reason: Unknown
% 16.45/2.49 % (497)Termination phase: Saturation
% 16.45/2.49
% 16.45/2.49 % (497)Memory used [KB]: 4861
% 16.45/2.49 % (497)Time elapsed: 1.174 s
% 16.45/2.49 % (497)Instructions burned: 693 (million)
% 16.45/2.49 % (497)------------------------------
% 16.45/2.49 % (497)------------------------------
% 17.04/2.55 % (522)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/1168Mi)
% 17.50/2.61 % (493)Instruction limit reached!
% 17.50/2.61 % (493)------------------------------
% 17.50/2.61 % (493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.50/2.61 % (493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.50/2.61 % (493)Termination reason: Unknown
% 17.50/2.61 % (493)Termination phase: Saturation
% 17.50/2.61
% 17.50/2.61 % (493)Memory used [KB]: 6652
% 17.50/2.61 % (493)Time elapsed: 1.374 s
% 17.50/2.61 % (493)Instructions burned: 980 (million)
% 17.50/2.61 % (493)------------------------------
% 17.50/2.61 % (493)------------------------------
% 17.50/2.65 % (523)dis+1004_1:3_av=off:bs=on:plsq=on:i=11321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/11321Mi)
% 18.53/2.77 % (524)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/12082Mi)
% 20.87/3.00 % (496)Instruction limit reached!
% 20.87/3.00 % (496)------------------------------
% 20.87/3.00 % (496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.87/3.00 % (496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.87/3.00 % (496)Termination reason: Unknown
% 20.87/3.00 % (496)Termination phase: Saturation
% 20.87/3.00
% 20.87/3.00 % (496)Memory used [KB]: 13304
% 20.87/3.00 % (496)Time elapsed: 1.681 s
% 20.87/3.00 % (496)Instructions burned: 949 (million)
% 20.87/3.00 % (496)------------------------------
% 20.87/3.00 % (496)------------------------------
% 21.14/3.03 % (480)Instruction limit reached!
% 21.14/3.03 % (480)------------------------------
% 21.14/3.03 % (480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.14/3.03 % (480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.14/3.03 % (480)Termination reason: Unknown
% 21.14/3.03 % (480)Termination phase: Saturation
% 21.14/3.03
% 21.14/3.03 % (480)Memory used [KB]: 7675
% 21.14/3.03 % (480)Time elapsed: 1.777 s
% 21.14/3.03 % (480)Instructions burned: 1302 (million)
% 21.14/3.03 % (480)------------------------------
% 21.14/3.03 % (480)------------------------------
% 21.14/3.10 % (467)Instruction limit reached!
% 21.14/3.10 % (467)------------------------------
% 21.14/3.10 % (467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.14/3.10 % (467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.14/3.10 % (467)Termination reason: Unknown
% 21.14/3.10 % (467)Termination phase: Saturation
% 21.14/3.10
% 21.14/3.10 % (467)Memory used [KB]: 15863
% 21.14/3.10 % (467)Time elapsed: 2.176 s
% 21.14/3.10 % (467)Instructions burned: 1706 (million)
% 21.14/3.10 % (467)------------------------------
% 21.14/3.10 % (467)------------------------------
% 21.84/3.13 % (525)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=31695:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/31695Mi)
% 21.84/3.17 % (526)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=7145:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/7145Mi)
% 22.45/3.21 % (504)Instruction limit reached!
% 22.45/3.21 % (504)------------------------------
% 22.45/3.21 % (504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.45/3.21 % (504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.45/3.21 % (504)Termination reason: Unknown
% 22.45/3.21 % (504)Termination phase: Saturation
% 22.45/3.21
% 22.45/3.21 % (504)Memory used [KB]: 7036
% 22.45/3.21 % (504)Time elapsed: 1.779 s
% 22.45/3.21 % (504)Instructions burned: 1198 (million)
% 22.45/3.21 % (504)------------------------------
% 22.45/3.21 % (504)------------------------------
% 22.45/3.26 % (527)lrs+10_1:1_br=off:ep=RSTC:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=48352:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/48352Mi)
% 23.27/3.31 % (508)Instruction limit reached!
% 23.27/3.31 % (508)------------------------------
% 23.27/3.31 % (508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.27/3.31 % (508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.27/3.31 % (508)Termination reason: Unknown
% 23.27/3.31 % (508)Termination phase: Saturation
% 23.27/3.31
% 23.27/3.31 % (508)Memory used [KB]: 4093
% 23.27/3.31 % (508)Time elapsed: 1.739 s
% 23.27/3.31 % (508)Instructions burned: 1170 (million)
% 23.27/3.31 % (508)------------------------------
% 23.27/3.31 % (508)------------------------------
% 23.61/3.36 % (509)Instruction limit reached!
% 23.61/3.36 % (509)------------------------------
% 23.61/3.36 % (509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.61/3.36 % (509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.61/3.36 % (509)Termination reason: Unknown
% 23.61/3.36 % (509)Termination phase: Saturation
% 23.61/3.36
% 23.61/3.36 % (509)Memory used [KB]: 13688
% 23.61/3.36 % (509)Time elapsed: 1.788 s
% 23.61/3.36 % (509)Instructions burned: 1007 (million)
% 23.61/3.36 % (509)------------------------------
% 23.61/3.36 % (509)------------------------------
% 23.61/3.36 % (528)lrs+10_1:16_ss=axioms:st=3.0:i=48076:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/48076Mi)
% 24.39/3.43 % (529)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=24952:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/24952Mi)
% 25.01/3.52 % (530)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=17722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/17722Mi)
% 26.70/3.79 % (515)Instruction limit reached!
% 26.70/3.79 % (515)------------------------------
% 26.70/3.79 % (515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.70/3.79 % (515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.70/3.79 % (515)Termination reason: Unknown
% 26.70/3.79 % (515)Termination phase: Saturation
% 26.70/3.79
% 26.70/3.79 % (515)Memory used [KB]: 13432
% 26.70/3.79 % (515)Time elapsed: 1.657 s
% 26.70/3.79 % (515)Instructions burned: 948 (million)
% 26.70/3.79 % (515)------------------------------
% 26.70/3.79 % (515)------------------------------
% 27.30/3.82 % (503)Instruction limit reached!
% 27.30/3.82 % (503)------------------------------
% 27.30/3.82 % (503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.30/3.84 % (503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.30/3.84 % (503)Termination reason: Unknown
% 27.30/3.84 % (503)Termination phase: Saturation
% 27.30/3.84
% 27.30/3.84 % (503)Memory used [KB]: 8699
% 27.30/3.84 % (503)Time elapsed: 1.610 s
% 27.30/3.84 % (503)Instructions burned: 3058 (million)
% 27.30/3.84 % (503)------------------------------
% 27.30/3.84 % (503)------------------------------
% 27.90/3.92 % (531)lrs+35_1:1_aac=none:abs=on:amm=off:norm_ineq=on:s2a=on:s2at=3.0:tha=off:i=25691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/25691Mi)
% 27.90/3.96 % (532)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/1742Mi)
% 28.58/3.98 % (469)Instruction limit reached!
% 28.58/3.98 % (469)------------------------------
% 28.58/3.98 % (469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.58/3.98 % (469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.58/3.98 % (469)Termination reason: Unknown
% 28.58/3.98 % (469)Termination phase: Saturation
% 28.58/3.98
% 28.58/3.98 % (469)Memory used [KB]: 19317
% 28.58/3.98 % (469)Time elapsed: 3.069 s
% 28.58/3.98 % (469)Instructions burned: 1684 (million)
% 28.58/3.98 % (469)------------------------------
% 28.58/3.98 % (469)------------------------------
% 29.79/4.12 % (533)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=31719:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/31719Mi)
% 30.29/4.19 % (522)Instruction limit reached!
% 30.29/4.19 % (522)------------------------------
% 30.29/4.19 % (522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.29/4.19 % (522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.29/4.19 % (522)Termination reason: Unknown
% 30.29/4.19 % (522)Termination phase: Saturation
% 30.29/4.19
% 30.29/4.19 % (522)Memory used [KB]: 4093
% 30.29/4.19 % (522)Time elapsed: 1.746 s
% 30.29/4.19 % (522)Instructions burned: 1168 (million)
% 30.29/4.19 % (522)------------------------------
% 30.29/4.19 % (522)------------------------------
% 31.61/4.34 % (521)Instruction limit reached!
% 31.61/4.34 % (521)------------------------------
% 31.61/4.34 % (521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.61/4.35 % (521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.61/4.35 % (521)Termination reason: Unknown
% 31.61/4.35 % (521)Termination phase: Saturation
% 31.61/4.35
% 31.61/4.35 % (521)Memory used [KB]: 9850
% 31.61/4.35 % (521)Time elapsed: 1.851 s
% 31.61/4.35 % (521)Instructions burned: 1324 (million)
% 31.61/4.35 % (521)------------------------------
% 31.61/4.35 % (521)------------------------------
% 31.61/4.36 % (534)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=12098:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/12098Mi)
% 32.16/4.42 % (519)Instruction limit reached!
% 32.16/4.42 % (519)------------------------------
% 32.16/4.42 % (519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.16/4.42 % (519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.16/4.42 % (519)Termination reason: Unknown
% 32.16/4.42 % (519)Termination phase: Saturation
% 32.16/4.42
% 32.16/4.42 % (519)Memory used [KB]: 6652
% 32.16/4.42 % (519)Time elapsed: 2.218 s
% 32.16/4.42 % (519)Instructions burned: 1519 (million)
% 32.16/4.42 % (519)------------------------------
% 32.16/4.42 % (519)------------------------------
% 32.66/4.49 % (535)lrs+10_1:1_ev=force:newcnf=on:sas=z3:spb=goal:tgt=full:tha=off:uwa=ground:i=7522:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/7522Mi)
% 32.66/4.50 % (513)Instruction limit reached!
% 32.66/4.50 % (513)------------------------------
% 32.66/4.50 % (513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.66/4.50 % (513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.66/4.50 % (513)Termination reason: Unknown
% 32.66/4.50 % (513)Termination phase: Saturation
% 32.66/4.50
% 32.66/4.50 % (513)Memory used [KB]: 4733
% 32.66/4.50 % (513)Time elapsed: 2.500 s
% 32.66/4.50 % (513)Instructions burned: 1744 (million)
% 32.66/4.50 % (513)------------------------------
% 32.66/4.50 % (513)------------------------------
% 32.66/4.52 % (475)Instruction limit reached!
% 32.66/4.52 % (475)------------------------------
% 32.66/4.52 % (475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.66/4.52 % (475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.66/4.52 % (475)Termination reason: Unknown
% 32.66/4.52 % (475)Termination phase: Saturation
% 32.66/4.52
% 32.66/4.52 % (475)Memory used [KB]: 5117
% 32.66/4.52 % (475)Time elapsed: 3.455 s
% 32.66/4.52 % (475)Instructions burned: 2305 (million)
% 32.66/4.52 % (475)------------------------------
% 32.66/4.52 % (475)------------------------------
% 32.66/4.56 % (536)lrs+10_1:1_abs=on:afp=1000:nicw=on:sas=z3:tgt=ground:tha=off:uwa=all:i=9256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/9256Mi)
% 33.83/4.64 % (537)lrs+31_1:3_abs=on:add=large:afp=329:afq=1.2:anc=none:avsq=on:avsqr=160,201:awrs=decay:bce=on:bsr=unit_only:canc=cautious:etr=on:ev=force:flr=on:fs=off:fsd=on:fsr=off:irw=on:lcm=reverse:newcnf=on:nicw=on:nwc=1.55:pum=on:rnwc=on:s2agt=32:sas=z3:sffsmt=on:sims=off:skr=on:slsq=on:slsqc=2:slsqr=433504,723351:sp=unary_first:spb=goal_then_units:tgt=full:tha=some:to=lpo:uhcvi=on:uwa=one_side_constant:i=7507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/7507Mi)
% 34.12/4.71 % (538)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/4725Mi)
% 34.12/4.73 % (505)Instruction limit reached!
% 34.12/4.73 % (505)------------------------------
% 34.12/4.73 % (505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.12/4.73 % (505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.12/4.73 % (505)Termination reason: Unknown
% 34.12/4.73 % (505)Termination phase: Saturation
% 34.12/4.73
% 34.12/4.73 % (505)Memory used [KB]: 9210
% 34.12/4.73 % (505)Time elapsed: 3.253 s
% 34.12/4.73 % (505)Instructions burned: 2503 (million)
% 34.12/4.73 % (505)------------------------------
% 34.12/4.73 % (505)------------------------------
% 35.85/4.88 % (468)Refutation not found, non-redundant clauses discarded% (468)------------------------------
% 35.85/4.88 % (468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 35.85/4.88 % (468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 35.85/4.88 % (468)Termination reason: Refutation not found, non-redundant clauses discarded
% 35.85/4.88
% 35.85/4.88 % (468)Memory used [KB]: 12537
% 35.85/4.88 % (468)Time elapsed: 3.984 s
% 35.85/4.88 % (468)Instructions burned: 2106 (million)
% 35.85/4.88 % (468)------------------------------
% 35.85/4.88 % (468)------------------------------
% 35.85/4.89 % (539)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=6461:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/6461Mi)
% 37.14/5.04 % (540)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=11248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2954ds/11248Mi)
% 42.40/5.72 % (520)Refutation not found, non-redundant clauses discarded% (520)------------------------------
% 42.40/5.72 % (520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.40/5.74 % (520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.40/5.74 % (520)Termination reason: Refutation not found, non-redundant clauses discarded
% 42.40/5.74
% 42.40/5.74 % (520)Memory used [KB]: 6908
% 42.40/5.74 % (520)Time elapsed: 3.450 s
% 42.40/5.74 % (520)Instructions burned: 2654 (million)
% 42.40/5.74 % (520)------------------------------
% 42.40/5.74 % (520)------------------------------
% 43.55/5.86 % (541)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=10523:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/10523Mi)
% 47.24/6.30 % (532)Instruction limit reached!
% 47.24/6.30 % (532)------------------------------
% 47.24/6.30 % (532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.24/6.30 % (532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.24/6.30 % (532)Termination reason: Unknown
% 47.24/6.30 % (532)Termination phase: Saturation
% 47.24/6.30
% 47.24/6.30 % (532)Memory used [KB]: 5245
% 47.24/6.30 % (532)Time elapsed: 2.406 s
% 47.24/6.30 % (532)Instructions burned: 1743 (million)
% 47.24/6.30 % (532)------------------------------
% 47.24/6.30 % (532)------------------------------
% 48.22/6.44 % (542)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=1324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/1324Mi)
% 51.44/6.84 % (476)Instruction limit reached!
% 51.44/6.84 % (476)------------------------------
% 51.44/6.84 % (476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.44/6.84 % (476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.44/6.84 % (476)Termination reason: Unknown
% 51.44/6.84 % (476)Termination phase: Saturation
% 51.44/6.84
% 51.44/6.84 % (476)Memory used [KB]: 13176
% 51.44/6.84 % (476)Time elapsed: 5.729 s
% 51.44/6.84 % (476)Instructions burned: 3780 (million)
% 51.44/6.84 % (476)------------------------------
% 51.44/6.84 % (476)------------------------------
% 51.44/6.86 % (474)Instruction limit reached!
% 51.44/6.86 % (474)------------------------------
% 51.44/6.86 % (474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.44/6.86 % (474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.44/6.86 % (474)Termination reason: Unknown
% 51.44/6.86 % (474)Termination phase: Saturation
% 51.44/6.86
% 51.44/6.86 % (474)Memory used [KB]: 25330
% 51.44/6.86 % (474)Time elapsed: 5.843 s
% 51.44/6.86 % (474)Instructions burned: 3528 (million)
% 51.44/6.86 % (474)------------------------------
% 51.44/6.86 % (474)------------------------------
% 52.05/6.95 % (465)Instruction limit reached!
% 52.05/6.95 % (465)------------------------------
% 52.05/6.95 % (465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.05/6.95 % (465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.05/6.95 % (465)Termination reason: Unknown
% 52.05/6.95 % (465)Termination phase: Saturation
% 52.05/6.95
% 52.05/6.95 % (465)Memory used [KB]: 33133
% 52.05/6.95 % (465)Time elapsed: 6.061 s
% 52.05/6.95 % (465)Instructions burned: 3722 (million)
% 52.05/6.95 % (465)------------------------------
% 52.05/6.95 % (465)------------------------------
% 52.64/6.98 % (544)lrs+10_1:1_nm=0:sd=4:sos=on:ss=axioms:st=3.0:i=6824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/6824Mi)
% 52.64/6.99 % (543)lrs+2_1:128_afq=1.0:bd=off:bsr=unit_only:irw=on:i=49169:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/49169Mi)
% 53.45/7.10 % (545)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=12082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/12082Mi)
% 57.42/7.57 % (473)Instruction limit reached!
% 57.42/7.57 % (473)------------------------------
% 57.42/7.57 % (473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.42/7.57 % (473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.42/7.57 % (473)Termination reason: Unknown
% 57.42/7.57 % (473)Termination phase: Saturation
% 57.42/7.57
% 57.42/7.57 % (473)Memory used [KB]: 28016
% 57.42/7.57 % (473)Time elapsed: 6.505 s
% 57.42/7.57 % (473)Instructions burned: 3217 (million)
% 57.42/7.57 % (473)------------------------------
% 57.42/7.57 % (473)------------------------------
% 57.42/7.65 % (511)Instruction limit reached!
% 57.42/7.65 % (511)------------------------------
% 57.42/7.65 % (511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.12/7.67 % (511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.12/7.67 % (511)Termination reason: Unknown
% 58.12/7.67 % (511)Termination phase: Saturation
% 58.12/7.67
% 58.12/7.67 % (511)Memory used [KB]: 11641
% 58.12/7.67 % (511)Time elapsed: 5.381 s
% 58.12/7.67 % (511)Instructions burned: 4836 (million)
% 58.12/7.67 % (511)------------------------------
% 58.12/7.67 % (511)------------------------------
% 58.36/7.70 % (546)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=20746:si=on:rawr=on:rtra=on_0 on theBenchmark for (2927ds/20746Mi)
% 59.18/7.83 % (547)lrs+10_1:1024_br=off:ep=RSTC:urr=on:i=47953:si=on:rawr=on:rtra=on_0 on theBenchmark for (2926ds/47953Mi)
% 59.18/7.86 % (512)Instruction limit reached!
% 59.18/7.86 % (512)------------------------------
% 59.18/7.86 % (512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.18/7.86 % (512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.18/7.86 % (512)Termination reason: Unknown
% 59.18/7.86 % (512)Termination phase: Saturation
% 59.18/7.86
% 59.18/7.86 % (512)Memory used [KB]: 13304
% 59.18/7.86 % (512)Time elapsed: 6.003 s
% 59.18/7.86 % (512)Instructions burned: 3933 (million)
% 59.18/7.86 % (512)------------------------------
% 59.18/7.86 % (512)------------------------------
% 60.89/8.03 % (516)Instruction limit reached!
% 60.89/8.03 % (516)------------------------------
% 60.89/8.03 % (516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.89/8.03 % (516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.89/8.03 % (516)Termination reason: Unknown
% 60.89/8.03 % (516)Termination phase: Saturation
% 60.89/8.03
% 60.89/8.03 % (516)Memory used [KB]: 30319
% 60.89/8.03 % (516)Time elapsed: 5.895 s
% 60.89/8.03 % (516)Instructions burned: 3622 (million)
% 60.89/8.03 % (516)------------------------------
% 60.89/8.03 % (516)------------------------------
% 61.18/8.05 % (548)lrs+21_1:1_ep=RS:fs=off:fsr=off:s2a=on:s2at=1.5:sac=on:sos=all:updr=off:i=18577:si=on:rawr=on:rtra=on_0 on theBenchmark for (2924ds/18577Mi)
% 62.31/8.20 % (549)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=17722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/17722Mi)
% 63.47/8.35 % (514)Instruction limit reached!
% 63.47/8.35 % (514)------------------------------
% 63.47/8.35 % (514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.47/8.35 % (514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.47/8.35 % (514)Termination reason: Unknown
% 63.47/8.35 % (514)Termination phase: Saturation
% 63.47/8.35
% 63.47/8.35 % (514)Memory used [KB]: 17526
% 63.47/8.35 % (514)Time elapsed: 6.256 s
% 63.47/8.35 % (514)Instructions burned: 3844 (million)
% 63.47/8.35 % (514)------------------------------
% 63.47/8.35 % (514)------------------------------
% 64.56/8.54 % (550)lrs+1002_5:1_av=off:awrs=decay:awrsf=16:cond=on:fd=preordered:sfv=off:sp=const_frequency:thi=neg_eq:thsq=on:thsqc=16:thsqd=64:i=26841:si=on:rawr=on:rtra=on_0 on theBenchmark for (2919ds/26841Mi)
% 64.56/8.54 % (542)Instruction limit reached!
% 64.56/8.54 % (542)------------------------------
% 64.56/8.54 % (542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 64.56/8.54 % (542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 64.56/8.54 % (542)Termination reason: Unknown
% 64.56/8.54 % (542)Termination phase: Saturation
% 64.56/8.54
% 64.56/8.54 % (542)Memory used [KB]: 11897
% 64.56/8.54 % (542)Time elapsed: 2.127 s
% 64.56/8.54 % (542)Instructions burned: 1324 (million)
% 64.56/8.54 % (542)------------------------------
% 64.56/8.54 % (542)------------------------------
% 66.50/8.72 % (551)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=13722:si=on:rawr=on:rtra=on_0 on theBenchmark for (2917ds/13722Mi)
% 70.60/9.27 % (518)Instruction limit reached!
% 70.60/9.27 % (518)------------------------------
% 70.60/9.27 % (518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.60/9.27 % (518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.60/9.27 % (518)Termination reason: Unknown
% 70.60/9.27 % (518)Termination phase: Saturation
% 70.60/9.27
% 70.60/9.27 % (518)Memory used [KB]: 8699
% 70.60/9.27 % (518)Time elapsed: 7.079 s
% 70.60/9.27 % (518)Instructions burned: 4725 (million)
% 70.60/9.27 % (518)------------------------------
% 70.60/9.27 % (518)------------------------------
% 71.76/9.43 % (552)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=30560:si=on:rawr=on:rtra=on_0 on theBenchmark for (2910ds/30560Mi)
% 72.84/9.52 % (510)Instruction limit reached!
% 72.84/9.52 % (510)------------------------------
% 72.84/9.52 % (510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 72.84/9.52 % (510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 72.84/9.52 % (510)Termination reason: Unknown
% 72.84/9.52 % (510)Termination phase: Saturation
% 72.84/9.52
% 72.84/9.52 % (510)Memory used [KB]: 39658
% 72.84/9.52 % (510)Time elapsed: 7.956 s
% 72.84/9.52 % (510)Instructions burned: 4968 (million)
% 72.84/9.52 % (510)------------------------------
% 72.84/9.52 % (510)------------------------------
% 74.26/9.70 % (553)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=12098:si=on:rawr=on:rtra=on_0 on theBenchmark for (2907ds/12098Mi)
% 89.95/11.70 % (538)Refutation not found, non-redundant clauses discarded% (538)------------------------------
% 89.95/11.70 % (538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 89.95/11.70 % (538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 89.95/11.70 % (538)Termination reason: Refutation not found, non-redundant clauses discarded
% 89.95/11.70
% 89.95/11.70 % (538)Memory used [KB]: 9083
% 89.95/11.70 % (538)Time elapsed: 7.102 s
% 89.95/11.70 % (538)Instructions burned: 4699 (million)
% 89.95/11.70 % (538)------------------------------
% 89.95/11.70 % (538)------------------------------
% 92.72/11.86 % (554)lrs+10_1:1_ev=force:newcnf=on:sas=z3:spb=goal:tgt=full:tha=off:uwa=ground:i=7522:si=on:rawr=on:rtra=on_0 on theBenchmark for (2886ds/7522Mi)
% 106.04/13.52 % (539)Instruction limit reached!
% 106.04/13.52 % (539)------------------------------
% 106.04/13.52 % (539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 106.04/13.52 % (539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 106.04/13.52 % (539)Termination reason: Unknown
% 106.04/13.52 % (539)Termination phase: Saturation
% 106.04/13.52
% 106.04/13.52 % (539)Memory used [KB]: 18677
% 106.04/13.52 % (539)Time elapsed: 8.720 s
% 106.04/13.52 % (539)Instructions burned: 6461 (million)
% 106.04/13.52 % (539)------------------------------
% 106.04/13.52 % (539)------------------------------
% 106.98/13.69 % (555)lrs+31_1:3_abs=on:add=large:afp=329:afq=1.2:anc=none:avsq=on:avsqr=160,201:awrs=decay:bce=on:bsr=unit_only:canc=cautious:etr=on:ev=force:flr=on:fs=off:fsd=on:fsr=off:irw=on:lcm=reverse:newcnf=on:nicw=on:nwc=1.55:pum=on:rnwc=on:s2agt=32:sas=z3:sffsmt=on:sims=off:skr=on:slsq=on:slsqc=2:slsqr=433504,723351:sp=unary_first:spb=goal_then_units:tgt=full:tha=some:to=lpo:uhcvi=on:uwa=one_side_constant:i=7507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2868ds/7507Mi)
% 109.94/14.04 % (526)Refutation not found, non-redundant clauses discarded% (526)------------------------------
% 109.94/14.04 % (526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 109.94/14.04 % (526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 109.94/14.04 % (526)Termination reason: Refutation not found, non-redundant clauses discarded
% 109.94/14.04
% 109.94/14.04 % (526)Memory used [KB]: 51427
% 109.94/14.04 % (526)Time elapsed: 10.965 s
% 109.94/14.04 % (526)Instructions burned: 6660 (million)
% 109.94/14.04 % (526)------------------------------
% 109.94/14.04 % (526)------------------------------
% 111.57/14.21 % (556)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2862ds/2501Mi)
% 114.23/14.60 % (549)First to succeed.
% 114.81/14.65 % (549)Refutation found. Thanks to Tanya!
% 114.81/14.65 % SZS status Theorem for theBenchmark
% 114.81/14.65 % SZS output start Proof for theBenchmark
% See solution above
% 114.81/14.66 % (549)------------------------------
% 114.81/14.66 % (549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 114.81/14.66 % (549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 114.81/14.66 % (549)Termination reason: Refutation
% 114.81/14.66
% 114.81/14.66 % (549)Memory used [KB]: 14200
% 114.81/14.66 % (549)Time elapsed: 6.499 s
% 114.81/14.66 % (549)Instructions burned: 4821 (million)
% 114.81/14.66 % (549)------------------------------
% 114.81/14.66 % (549)------------------------------
% 114.81/14.66 % (401)Success in time 14.307 s
%------------------------------------------------------------------------------