TSTP Solution File: SWW631_2 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW631_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n007.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 : Mon Jun 24 18:35:22 EDT 2024
% Result : Theorem 1.40s 0.62s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 316
% Syntax : Number of formulae : 1225 ( 135 unt; 0 typ; 0 def)
% Number of atoms : 5438 ( 343 equ)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 7933 (3720 ~;3694 |; 170 &)
% ( 266 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number arithmetic : 3185 (1775 atm; 183 fun; 989 num; 238 var)
% Number of types : 7 ( 5 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 273 ( 269 usr; 267 prp; 0-2 aty)
% Number of functors : 81 ( 75 usr; 54 con; 0-5 aty)
% Number of variables : 278 ( 258 !; 20 ?; 278 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
map_int_int: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_15,type,
map: ( ty * ty ) > ty ).
tff(func_def_16,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_17,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_18,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_19,type,
array: ty > ty ).
tff(func_def_20,type,
mk_array: ( ty * $int * uni ) > uni ).
tff(func_def_21,type,
length: ( ty * uni ) > $int ).
tff(func_def_22,type,
elts: ( ty * uni ) > uni ).
tff(func_def_23,type,
get1: ( ty * uni * $int ) > uni ).
tff(func_def_24,type,
t2tb: $int > uni ).
tff(func_def_25,type,
tb2t: uni > $int ).
tff(func_def_26,type,
set1: ( ty * uni * $int * uni ) > uni ).
tff(func_def_27,type,
make: ( ty * $int * uni ) > uni ).
tff(func_def_28,type,
n: $int ).
tff(func_def_29,type,
f: $int > $int ).
tff(func_def_32,type,
t2tb1: map_int_int > uni ).
tff(func_def_33,type,
tb2t1: uni > map_int_int ).
tff(func_def_36,type,
sK0: map_int_int ).
tff(func_def_37,type,
sK1: $int ).
tff(func_def_38,type,
sK2: map_int_int ).
tff(func_def_39,type,
sK3: map_int_int ).
tff(func_def_40,type,
sK4: $int ).
tff(func_def_41,type,
sK5: $int ).
tff(func_def_42,type,
sK6: $int ).
tff(func_def_43,type,
sK7: $int ).
tff(func_def_44,type,
sK8: $int ).
tff(func_def_45,type,
sK9: $int ).
tff(func_def_46,type,
sK10: ( $int * $int ) > $int ).
tff(func_def_47,type,
sK11: ( $int * $int ) > $int ).
tff(func_def_48,type,
sK12: ( $int * $int ) > $int ).
tff(func_def_49,type,
sF13: $int ).
tff(func_def_50,type,
sF14: $int ).
tff(func_def_51,type,
sF15: uni ).
tff(func_def_52,type,
sF16: uni ).
tff(func_def_53,type,
sF17: uni ).
tff(func_def_54,type,
sF18: uni ).
tff(func_def_55,type,
sF19: map_int_int ).
tff(func_def_56,type,
sF20: uni ).
tff(func_def_57,type,
sF21: uni ).
tff(func_def_58,type,
sF22: $int ).
tff(func_def_59,type,
sF23: $int ).
tff(func_def_60,type,
sF24: uni ).
tff(func_def_61,type,
sF25: uni ).
tff(func_def_62,type,
sF26: uni ).
tff(func_def_63,type,
sF27: $int ).
tff(func_def_64,type,
sF28: $int ).
tff(func_def_65,type,
sF29: uni ).
tff(func_def_66,type,
sF30: $int ).
tff(func_def_67,type,
sF31: uni ).
tff(func_def_68,type,
sF32: uni ).
tff(func_def_69,type,
sF33: $int ).
tff(func_def_70,type,
sF34: $int ).
tff(func_def_71,type,
sF35: $int ).
tff(func_def_72,type,
sF36: uni ).
tff(func_def_73,type,
sF37: $int ).
tff(func_def_74,type,
sF38: $int ).
tff(func_def_75,type,
sF39: uni ).
tff(func_def_76,type,
sF40: uni ).
tff(func_def_77,type,
sF41: $int ).
tff(func_def_78,type,
sF42: uni ).
tff(func_def_79,type,
sF43: uni ).
tff(func_def_80,type,
sF44: $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_4,type,
path: ( $int * $int ) > $o ).
tff(pred_def_5,type,
distance: ( $int * $int ) > $o ).
tff(f3106,plain,
$false,
inference(avatar_smt_refutation,[],[f271,f275,f279,f283,f287,f291,f295,f299,f303,f307,f311,f315,f319,f323,f327,f331,f335,f339,f343,f347,f352,f356,f361,f366,f370,f376,f382,f386,f391,f395,f399,f403,f408,f412,f416,f420,f425,f429,f433,f437,f441,f456,f460,f464,f488,f495,f514,f541,f548,f555,f559,f566,f577,f602,f614,f618,f628,f635,f645,f650,f654,f659,f663,f667,f672,f676,f682,f686,f691,f695,f700,f704,f720,f739,f749,f762,f772,f776,f805,f827,f834,f841,f853,f858,f862,f867,f879,f885,f898,f903,f907,f911,f915,f919,f923,f927,f931,f935,f942,f947,f964,f976,f980,f984,f992,f999,f1022,f1142,f1229,f1237,f1250,f1252,f1256,f1325,f1337,f1380,f1495,f1545,f1551,f1712,f1717,f1729,f1730,f1734,f1740,f1744,f1752,f1762,f1766,f1770,f1774,f1780,f1793,f1798,f1815,f1817,f1833,f1834,f1835,f1840,f1842,f1856,f1860,f1864,f1870,f1871,f1884,f1894,f1902,f1918,f1931,f1935,f1939,f1943,f1947,f1952,f1959,f1971,f1977,f1981,f1987,f1995,f2005,f2020,f2072,f2081,f2088,f2101,f2108,f2116,f2121,f2140,f2156,f2205,f2208,f2212,f2215,f2219,f2222,f2234,f2255,f2259,f2265,f2275,f2279,f2287,f2291,f2295,f2308,f2316,f2330,f2337,f2342,f2355,f2366,f2382,f2386,f2390,f2394,f2404,f2414,f2416,f2423,f2447,f2462,f2463,f2466,f2470,f2478,f2479,f2498,f2518,f2525,f2544,f2548,f2552,f2559,f2567,f2600,f2617,f2624,f2628,f2641,f2648,f2652,f2655,f2682,f2686,f2688,f2694,f2719,f2730,f2738,f2745,f2751,f2757,f2762,f2814,f2823,f2827,f2835,f2842,f2843,f2865,f2866,f2875,f2880,f2886,f2893,f2910,f2914,f2942,f2973,f3037,f3045,f3049,f3056,f3062,f3102,f3105]) ).
tff(f3105,plain,
( spl45_247
| ~ spl45_260
| ~ spl45_262 ),
inference(avatar_contradiction_clause,[],[f3104]) ).
tff(f3104,plain,
( $false
| spl45_247
| ~ spl45_260
| ~ spl45_262 ),
inference(subsumption_resolution,[],[f3096,f2972]) ).
tff(f2972,plain,
( $less(-1,sK7)
| ~ spl45_260 ),
inference(avatar_component_clause,[],[f2971]) ).
tff(f2971,plain,
( spl45_260
<=> $less(-1,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_260])]) ).
tff(f3096,plain,
( ~ $less(-1,sK7)
| spl45_247
| ~ spl45_262 ),
inference(backward_demodulation,[],[f2750,f3044]) ).
tff(f3044,plain,
( ( sF23 = -1 )
| ~ spl45_262 ),
inference(avatar_component_clause,[],[f3043]) ).
tff(f3043,plain,
( spl45_262
<=> ( sF23 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_262])]) ).
tff(f2750,plain,
( ~ $less(sF23,sK7)
| spl45_247 ),
inference(avatar_component_clause,[],[f2749]) ).
tff(f2749,plain,
( spl45_247
<=> $less(sF23,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_247])]) ).
tff(f3102,plain,
( ~ spl45_163
| spl45_187
| ~ spl45_262 ),
inference(avatar_contradiction_clause,[],[f3101]) ).
tff(f3101,plain,
( $false
| ~ spl45_163
| spl45_187
| ~ spl45_262 ),
inference(subsumption_resolution,[],[f3091,f1934]) ).
tff(f1934,plain,
( $less(-1,sK9)
| ~ spl45_163 ),
inference(avatar_component_clause,[],[f1933]) ).
tff(f1933,plain,
( spl45_163
<=> $less(-1,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_163])]) ).
tff(f3091,plain,
( ~ $less(-1,sK9)
| spl45_187
| ~ spl45_262 ),
inference(backward_demodulation,[],[f2136,f3044]) ).
tff(f2136,plain,
( ~ $less(sF23,sK9)
| spl45_187 ),
inference(avatar_component_clause,[],[f2135]) ).
tff(f2135,plain,
( spl45_187
<=> $less(sF23,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_187])]) ).
tff(f3062,plain,
( spl45_266
| ~ spl45_106
| ~ spl45_220 ),
inference(avatar_split_clause,[],[f3021,f2421,f839,f3060]) ).
tff(f3060,plain,
( spl45_266
<=> $less(sF35,sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_266])]) ).
tff(f839,plain,
( spl45_106
<=> $less(0,sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_106])]) ).
tff(f2421,plain,
( spl45_220
<=> $less(sF35,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_220])]) ).
tff(f3021,plain,
( $less(sF35,sF44)
| ~ spl45_106
| ~ spl45_220 ),
inference(resolution,[],[f1841,f2422]) ).
tff(f2422,plain,
( $less(sF35,0)
| ~ spl45_220 ),
inference(avatar_component_clause,[],[f2421]) ).
tff(f1841,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sF44) )
| ~ spl45_106 ),
inference(resolution,[],[f975,f56]) ).
tff(f56,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_151,[]) ).
tff(f975,plain,
( $less(0,sF44)
| ~ spl45_106 ),
inference(avatar_component_clause,[],[f839]) ).
tff(f3056,plain,
( spl45_264
| spl45_265
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162
| spl45_173 ),
inference(avatar_split_clause,[],[f2988,f1993,f1929,f1710,f1543,f3054,f3051]) ).
tff(f3051,plain,
( spl45_264
<=> $less(f(0),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_264])]) ).
tff(f3054,plain,
( spl45_265
<=> ( -1 = f(0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_265])]) ).
tff(f1543,plain,
( spl45_142
<=> ( 0 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_142])]) ).
tff(f1710,plain,
( spl45_143
<=> $less(sK8,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_143])]) ).
tff(f1929,plain,
( spl45_162
<=> ( sK8 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_162])]) ).
tff(f1993,plain,
( spl45_173
<=> $less(-1,f(0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_173])]) ).
tff(f2988,plain,
( ( -1 = f(0) )
| $less(f(0),0)
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162
| spl45_173 ),
inference(resolution,[],[f2965,f1994]) ).
tff(f1994,plain,
( ~ $less(-1,f(0))
| spl45_173 ),
inference(avatar_component_clause,[],[f1993]) ).
tff(f2965,plain,
( ! [X0: $int] :
( $less(-1,X0)
| $less(X0,0)
| ( -1 = X0 ) )
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162 ),
inference(resolution,[],[f2964,f57]) ).
tff(f57,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_152,[]) ).
tff(f2964,plain,
( ! [X0: $int] :
( ~ $less(X0,-1)
| $less(X0,0) )
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162 ),
inference(forward_demodulation,[],[f2963,f1930]) ).
tff(f1930,plain,
( ( sK8 = -1 )
| ~ spl45_162 ),
inference(avatar_component_clause,[],[f1929]) ).
tff(f2963,plain,
( ! [X0: $int] :
( ~ $less(X0,sK8)
| $less(X0,0) )
| ~ spl45_142
| ~ spl45_143 ),
inference(forward_demodulation,[],[f1721,f1544]) ).
tff(f1544,plain,
( ( 0 = sK5 )
| ~ spl45_142 ),
inference(avatar_component_clause,[],[f1543]) ).
tff(f1721,plain,
( ! [X0: $int] :
( $less(X0,sK5)
| ~ $less(X0,sK8) )
| ~ spl45_143 ),
inference(resolution,[],[f1711,f56]) ).
tff(f1711,plain,
( $less(sK8,sK5)
| ~ spl45_143 ),
inference(avatar_component_clause,[],[f1710]) ).
tff(f3049,plain,
( spl45_263
| spl45_95
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162
| spl45_230 ),
inference(avatar_split_clause,[],[f2993,f2554,f1929,f1710,f1543,f760,f3047]) ).
tff(f3047,plain,
( spl45_263
<=> ( sF41 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_263])]) ).
tff(f760,plain,
( spl45_95
<=> $less(sF41,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_95])]) ).
tff(f2554,plain,
( spl45_230
<=> $less(-1,sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_230])]) ).
tff(f2993,plain,
( $less(sF41,0)
| ( sF41 = -1 )
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162
| spl45_230 ),
inference(resolution,[],[f2965,f2555]) ).
tff(f2555,plain,
( ~ $less(-1,sF41)
| spl45_230 ),
inference(avatar_component_clause,[],[f2554]) ).
tff(f3045,plain,
( spl45_50
| spl45_262
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162
| spl45_236 ),
inference(avatar_split_clause,[],[f2991,f2643,f1929,f1710,f1543,f3043,f509]) ).
tff(f509,plain,
( spl45_50
<=> $less(sF23,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_50])]) ).
tff(f2643,plain,
( spl45_236
<=> $less(-1,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_236])]) ).
tff(f2991,plain,
( $less(sF23,0)
| ( sF23 = -1 )
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162
| spl45_236 ),
inference(resolution,[],[f2965,f2644]) ).
tff(f2644,plain,
( ~ $less(-1,sF23)
| spl45_236 ),
inference(avatar_component_clause,[],[f2643]) ).
tff(f3037,plain,
( spl45_261
| ~ spl45_106
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162 ),
inference(avatar_split_clause,[],[f3023,f1929,f1710,f1543,f839,f3035]) ).
tff(f3035,plain,
( spl45_261
<=> $less(-1,sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_261])]) ).
tff(f3023,plain,
( $less(-1,sF44)
| ~ spl45_106
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162 ),
inference(evaluation,[],[f3022]) ).
tff(f3022,plain,
( $less(-1,sF44)
| $less(0,0)
| ( 0 = -1 )
| ~ spl45_106
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162 ),
inference(resolution,[],[f1841,f2965]) ).
tff(f2973,plain,
( spl45_138
| spl45_260
| ~ spl45_75
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162 ),
inference(avatar_split_clause,[],[f2968,f1929,f1710,f1543,f657,f2971,f1323]) ).
tff(f1323,plain,
( spl45_138
<=> $less(sK6,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_138])]) ).
tff(f657,plain,
( spl45_75
<=> ( sK7 = $sum(sK6,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_75])]) ).
tff(f2968,plain,
( $less(sK6,0)
| $less(-1,sK7)
| ~ spl45_75
| ~ spl45_142
| ~ spl45_143
| ~ spl45_162 ),
inference(resolution,[],[f2964,f1127]) ).
tff(f1127,plain,
( ! [X0: $int] :
( $less(sK6,X0)
| $less(X0,sK7) )
| ~ spl45_75 ),
inference(superposition,[],[f59,f658]) ).
tff(f658,plain,
( ( sK7 = $sum(sK6,1) )
| ~ spl45_75 ),
inference(avatar_component_clause,[],[f657]) ).
tff(f59,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_155,[]) ).
tff(f2942,plain,
( ~ spl45_259
| ~ spl45_36
| ~ spl45_42
| ~ spl45_220 ),
inference(avatar_split_clause,[],[f2929,f2421,f451,f418,f2940]) ).
tff(f2940,plain,
( spl45_259
<=> $less(sK4,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_259])]) ).
tff(f418,plain,
( spl45_36
<=> ( f(sK4) = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_36])]) ).
tff(f451,plain,
( spl45_42
<=> $less(0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_42])]) ).
tff(f2929,plain,
( ~ $less(sK4,n)
| ~ spl45_36
| ~ spl45_42
| ~ spl45_220 ),
inference(subsumption_resolution,[],[f2476,f2422]) ).
tff(f2476,plain,
( ~ $less(sF35,0)
| ~ $less(sK4,n)
| ~ spl45_36
| ~ spl45_42 ),
inference(subsumption_resolution,[],[f2473,f1855]) ).
tff(f1855,plain,
( $less(0,sK4)
| ~ spl45_42 ),
inference(avatar_component_clause,[],[f451]) ).
tff(f2473,plain,
( ~ $less(0,sK4)
| ~ $less(sF35,0)
| ~ $less(sK4,n)
| ~ spl45_36 ),
inference(superposition,[],[f138,f419]) ).
tff(f419,plain,
( ( f(sK4) = sF35 )
| ~ spl45_36 ),
inference(avatar_component_clause,[],[f418]) ).
tff(f138,plain,
! [X0: $int] :
( ~ $less(f(X0),0)
| ~ $less(X0,n)
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: $int] :
( ~ $less(X0,n)
| ( $less(f(X0),X0)
& ~ $less(f(X0),0) )
| ~ $less(0,X0) ),
inference(flattening,[],[f117]) ).
tff(f117,plain,
! [X0: $int] :
( ( $less(f(X0),X0)
& ~ $less(f(X0),0) )
| ~ $less(0,X0)
| ~ $less(X0,n) ),
inference(ennf_transformation,[],[f75]) ).
tff(f75,plain,
! [X0: $int] :
( ( $less(0,X0)
& $less(X0,n) )
=> ( $less(f(X0),X0)
& ~ $less(f(X0),0) ) ),
inference(rectify,[],[f45]) ).
tff(f45,plain,
! [X18: $int] :
( ( $less(X18,n)
& $less(0,X18) )
=> ( ~ $less(f(X18),0)
& $less(f(X18),X18) ) ),
inference(theory_normalization,[],[f34]) ).
tff(f34,axiom,
! [X18: $int] :
( ( $less(X18,n)
& $less(0,X18) )
=> ( $lesseq(0,f(X18))
& $less(f(X18),X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f2914,plain,
( spl45_258
| ~ spl45_224
| ~ spl45_55
| ~ spl45_1
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162
| ~ spl45_163 ),
inference(avatar_split_clause,[],[f2909,f1933,f1929,f1543,f945,f909,f865,f684,f600,f435,f431,f423,f410,f374,f269,f546,f2513,f2912]) ).
tff(f2912,plain,
( spl45_258
<=> ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| $less(X0,sF41) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_258])]) ).
tff(f2513,plain,
( spl45_224
<=> $less(tb2t(get(int,int,sF20,sF42)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_224])]) ).
tff(f546,plain,
( spl45_55
<=> $less(0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_55])]) ).
tff(f269,plain,
( spl45_1
<=> $less(sK9,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_1])]) ).
tff(f374,plain,
( spl45_26
<=> ( t2tb(0) = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_26])]) ).
tff(f410,plain,
( spl45_34
<=> ( t2tb(sK5) = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_34])]) ).
tff(f423,plain,
( spl45_37
<=> ( sK8 = tb2t(sF36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_37])]) ).
tff(f431,plain,
( spl45_39
<=> ( tb2t(sF40) = sF41 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_39])]) ).
tff(f435,plain,
( spl45_40
<=> ( t2tb(sK9) = sF42 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_40])]) ).
tff(f600,plain,
( spl45_62
<=> ( t2tb(sK8) = sF36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_62])]) ).
tff(f684,plain,
( spl45_81
<=> ( -1 = tb2t(sF17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_81])]) ).
tff(f865,plain,
( spl45_110
<=> ( sF17 = get(int,int,sF20,sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_110])]) ).
tff(f909,plain,
( spl45_116
<=> ( get(int,int,sF20,sF31) = sF36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_116])]) ).
tff(f945,plain,
( spl45_123
<=> ( sF40 = get(int,int,sF24,sF36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_123])]) ).
tff(f2909,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| $less(X0,sF41)
| ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),-1) )
| ~ spl45_1
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162
| ~ spl45_163 ),
inference(subsumption_resolution,[],[f2908,f270]) ).
tff(f270,plain,
( $less(sK9,sK4)
| ~ spl45_1 ),
inference(avatar_component_clause,[],[f269]) ).
tff(f2908,plain,
( ! [X0: $int] :
( $less(X0,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF42)),-1)
| ~ $less(0,sK9)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(sK9,sK4) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162
| ~ spl45_163 ),
inference(subsumption_resolution,[],[f2902,f1934]) ).
tff(f2902,plain,
( ! [X0: $int] :
( ~ $less(0,sK9)
| ~ $less(-1,sK9)
| ~ $less(sK9,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| $less(X0,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF42)),-1) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162 ),
inference(superposition,[],[f2501,f436]) ).
tff(f436,plain,
( ( t2tb(sK9) = sF42 )
| ~ spl45_40 ),
inference(avatar_component_clause,[],[f435]) ).
tff(f2501,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))))
| ~ $less(X0,sK4)
| ~ $less(-1,X0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),-1)
| ~ $less(0,X0)
| $less(X1,sF41) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162 ),
inference(resolution,[],[f2500,f56]) ).
tff(f2500,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sF41)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),-1)
| ~ $less(X0,sK4)
| ~ $less(-1,X0)
| ~ $less(0,X0) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162 ),
inference(forward_demodulation,[],[f1925,f1930]) ).
tff(f1925,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sF41)
| ~ $less(X0,sK4)
| ~ $less(-1,X0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK8)
| ~ $less(0,X0) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142 ),
inference(backward_demodulation,[],[f1076,f1919]) ).
tff(f1919,plain,
( ( sK8 = -1 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1914,f685]) ).
tff(f685,plain,
( ( -1 = tb2t(sF17) )
| ~ spl45_81 ),
inference(avatar_component_clause,[],[f684]) ).
tff(f1914,plain,
( ( sK8 = tb2t(sF17) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(backward_demodulation,[],[f424,f1895]) ).
tff(f1895,plain,
( ( sF17 = sF36 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1889,f866]) ).
tff(f866,plain,
( ( sF17 = get(int,int,sF20,sF15) )
| ~ spl45_110 ),
inference(avatar_component_clause,[],[f865]) ).
tff(f1889,plain,
( ( get(int,int,sF20,sF15) = sF36 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_116
| ~ spl45_142 ),
inference(backward_demodulation,[],[f910,f1888]) ).
tff(f1888,plain,
( ( sF15 = sF31 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1887,f375]) ).
tff(f375,plain,
( ( t2tb(0) = sF15 )
| ~ spl45_26 ),
inference(avatar_component_clause,[],[f374]) ).
tff(f1887,plain,
( ( t2tb(0) = sF31 )
| ~ spl45_34
| ~ spl45_142 ),
inference(forward_demodulation,[],[f411,f1544]) ).
tff(f411,plain,
( ( t2tb(sK5) = sF31 )
| ~ spl45_34 ),
inference(avatar_component_clause,[],[f410]) ).
tff(f910,plain,
( ( get(int,int,sF20,sF31) = sF36 )
| ~ spl45_116 ),
inference(avatar_component_clause,[],[f909]) ).
tff(f424,plain,
( ( sK8 = tb2t(sF36) )
| ~ spl45_37 ),
inference(avatar_component_clause,[],[f423]) ).
tff(f1076,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sF41)
| ~ $less(X0,sK4)
| ~ $less(0,X0)
| ~ $less(sK8,X0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK8) )
| ~ spl45_39
| ~ spl45_62
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1075,f432]) ).
tff(f432,plain,
( ( tb2t(sF40) = sF41 )
| ~ spl45_39 ),
inference(avatar_component_clause,[],[f431]) ).
tff(f1075,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK8)
| ~ $less(sK8,X0)
| ~ $less(0,X0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(sF40))
| ~ $less(X0,sK4) )
| ~ spl45_62
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1067,f946]) ).
tff(f946,plain,
( ( sF40 = get(int,int,sF24,sF36) )
| ~ spl45_123 ),
inference(avatar_component_clause,[],[f945]) ).
tff(f1067,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(get(int,int,sF24,sF36)))
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK8)
| ~ $less(sK8,X0)
| ~ $less(0,X0) )
| ~ spl45_62 ),
inference(superposition,[],[f258,f601]) ).
tff(f601,plain,
( ( t2tb(sK8) = sF36 )
| ~ spl45_62 ),
inference(avatar_component_clause,[],[f600]) ).
tff(f258,plain,
! [X6: $int,X7: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X6)))),tb2t(get(int,int,sF24,t2tb(X7))))
| ~ $less(0,X6)
| ~ $less(X6,sK4)
| ~ $less(X7,X6)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X6))),X7) ),
inference(definition_folding,[],[f158,f229,f224,f229,f224]) ).
tff(f224,plain,
t2tb1(sK2) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
tff(f229,plain,
t2tb1(sK3) = sF24,
introduced(function_definition,[new_symbols(definition,[sF24])]) ).
tff(f158,plain,
! [X6: $int,X7: $int] :
( ~ $less(0,X6)
| ~ $less(tb2t(get(int,int,t2tb1(sK2),t2tb(X6))),X7)
| ~ $less(X7,X6)
| $less(tb2t(get(int,int,t2tb1(sK3),get(int,int,t2tb1(sK2),t2tb(X6)))),tb2t(get(int,int,t2tb1(sK3),t2tb(X7))))
| ~ $less(X6,sK4) ),
inference(cnf_transformation,[],[f121]) ).
tff(f121,plain,
( ~ $less(0,0)
& ? [X0: map_int_int] :
( ~ $less(n,0)
& ~ $less($sum(n,$uminus(1)),1)
& ~ $less(n,0)
& ( tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 )
& ~ $less(n,0)
& ? [X2: $int,X1: map_int_int,X4: map_int_int,X3: $int] :
( ( $uminus(1) = tb2t(get(int,int,t2tb1(X1),t2tb(0))) )
& ~ $less($sum(X3,$uminus(1)),$sum(X2,tb2t(get(int,int,t2tb1(X4),t2tb($sum(X3,$uminus(1)))))))
& ! [X6: $int] :
( ~ $less(X6,X3)
| ( $less(tb2t(get(int,int,t2tb1(X1),get(int,int,t2tb1(X1),t2tb(X6)))),f(X6))
& ~ $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),f(X6))
& ( tb2t(get(int,int,t2tb1(X4),t2tb(X6))) = $sum(tb2t(get(int,int,t2tb1(X4),get(int,int,t2tb1(X1),t2tb(X6)))),1) )
& ! [X7: $int] :
( $less(tb2t(get(int,int,t2tb1(X4),get(int,int,t2tb1(X1),t2tb(X6)))),tb2t(get(int,int,t2tb1(X4),t2tb(X7))))
| ~ $less(X7,X6)
| ~ $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),X7) )
& $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),X6)
& $less(0,tb2t(get(int,int,t2tb1(X4),t2tb(X6)))) )
| ~ $less(0,X6) )
& ~ $less(X3,1)
& ? [X9: $int,X8: $int] :
( ~ $less(n,0)
& $less(X9,X3)
& ? [X11: $int] :
( $less(X9,n)
& ( $sum(X8,1) = X11 )
& ? [X12: $int] :
( ? [X13: $int] :
( $less(X12,X13)
& $less(X13,X3)
& ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X12))),tb2t(get(int,int,t2tb1(X4),t2tb(X13)))) )
& ( tb2t(get(int,int,t2tb1(X1),t2tb(X9))) = X12 ) )
& ~ $less(X9,0) )
& $less(X9,n)
& ~ $less(X9,0)
& ~ $less($sum(X3,$uminus(1)),$sum(X8,tb2t(get(int,int,t2tb1(X4),t2tb(X9)))))
& ~ $less(X9,f(X3))
& ! [X10: $int] :
( ~ $less(X10,X3)
| ~ $less(X9,X10)
| $less(tb2t(get(int,int,t2tb1(X4),t2tb(X9))),tb2t(get(int,int,t2tb1(X4),t2tb(X10)))) )
& ~ $less(tb2t(get(int,int,t2tb1(X1),t2tb(X9))),f(X3)) )
& ~ $less($sum(n,$uminus(1)),X3)
& ( 0 = tb2t(get(int,int,t2tb1(X4),t2tb(0))) )
& ! [X5: $int] :
( ~ $less(X5,X3)
| $less(X5,0)
| path(tb2t(get(int,int,t2tb1(X4),t2tb(X5))),X5) ) ) )
& ~ $less(n,0)
& $less(0,n)
& ~ $less(n,0) ),
inference(flattening,[],[f120]) ).
tff(f120,plain,
( ? [X0: map_int_int] :
( ? [X3: $int,X1: map_int_int,X4: map_int_int,X2: $int] :
( ? [X8: $int,X9: $int] :
( ? [X11: $int] :
( ? [X12: $int] :
( ? [X13: $int] :
( ~ $less(tb2t(get(int,int,t2tb1(X4),t2tb(X12))),tb2t(get(int,int,t2tb1(X4),t2tb(X13))))
& $less(X13,X3)
& $less(X12,X13) )
& ( tb2t(get(int,int,t2tb1(X1),t2tb(X9))) = X12 ) )
& ~ $less(X9,0)
& $less(X9,n)
& ( $sum(X8,1) = X11 ) )
& ~ $less(tb2t(get(int,int,t2tb1(X1),t2tb(X9))),f(X3))
& ~ $less(X9,0)
& $less(X9,n)
& ~ $less(n,0)
& ~ $less($sum(X3,$uminus(1)),$sum(X8,tb2t(get(int,int,t2tb1(X4),t2tb(X9)))))
& ~ $less(X9,f(X3))
& ! [X10: $int] :
( $less(tb2t(get(int,int,t2tb1(X4),t2tb(X9))),tb2t(get(int,int,t2tb1(X4),t2tb(X10))))
| ~ $less(X10,X3)
| ~ $less(X9,X10) )
& $less(X9,X3) )
& ( $uminus(1) = tb2t(get(int,int,t2tb1(X1),t2tb(0))) )
& ! [X6: $int] :
( ( ( tb2t(get(int,int,t2tb1(X4),t2tb(X6))) = $sum(tb2t(get(int,int,t2tb1(X4),get(int,int,t2tb1(X1),t2tb(X6)))),1) )
& $less(0,tb2t(get(int,int,t2tb1(X4),t2tb(X6))))
& $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),X6)
& ~ $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),f(X6))
& $less(tb2t(get(int,int,t2tb1(X1),get(int,int,t2tb1(X1),t2tb(X6)))),f(X6))
& ! [X7: $int] :
( $less(tb2t(get(int,int,t2tb1(X4),get(int,int,t2tb1(X1),t2tb(X6)))),tb2t(get(int,int,t2tb1(X4),t2tb(X7))))
| ~ $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),X7)
| ~ $less(X7,X6) ) )
| ~ $less(0,X6)
| ~ $less(X6,X3) )
& ( 0 = tb2t(get(int,int,t2tb1(X4),t2tb(0))) )
& ~ $less($sum(X3,$uminus(1)),$sum(X2,tb2t(get(int,int,t2tb1(X4),t2tb($sum(X3,$uminus(1)))))))
& ! [X5: $int] :
( path(tb2t(get(int,int,t2tb1(X4),t2tb(X5))),X5)
| ~ $less(X5,X3)
| $less(X5,0) )
& ~ $less(X3,1)
& ~ $less($sum(n,$uminus(1)),X3) )
& ~ $less($sum(n,$uminus(1)),1)
& ~ $less(n,0)
& ~ $less(n,0)
& ( tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 )
& ~ $less(n,0) )
& $less(0,n)
& ~ $less(0,0)
& ~ $less(n,0)
& ~ $less(n,0) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,plain,
~ ( ~ $less(n,0)
=> ( ~ $less(n,0)
=> ( ( $less(0,n)
& ~ $less(0,0) )
=> ! [X0: map_int_int] :
( ( ( tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 )
& ~ $less(n,0) )
=> ( ~ $less(n,0)
=> ( ~ $less(n,0)
=> ( ~ $less($sum(n,$uminus(1)),1)
=> ! [X3: $int,X1: map_int_int,X4: map_int_int,X2: $int] :
( ( ~ $less(X3,1)
& ~ $less($sum(n,$uminus(1)),X3) )
=> ( ( ( $uminus(1) = tb2t(get(int,int,t2tb1(X1),t2tb(0))) )
& ! [X6: $int] :
( ( $less(0,X6)
& $less(X6,X3) )
=> ( ( tb2t(get(int,int,t2tb1(X4),t2tb(X6))) = $sum(tb2t(get(int,int,t2tb1(X4),get(int,int,t2tb1(X1),t2tb(X6)))),1) )
& $less(0,tb2t(get(int,int,t2tb1(X4),t2tb(X6))))
& $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),X6)
& ~ $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),f(X6))
& $less(tb2t(get(int,int,t2tb1(X1),get(int,int,t2tb1(X1),t2tb(X6)))),f(X6))
& ! [X7: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X1),t2tb(X6))),X7)
& $less(X7,X6) )
=> $less(tb2t(get(int,int,t2tb1(X4),get(int,int,t2tb1(X1),t2tb(X6)))),tb2t(get(int,int,t2tb1(X4),t2tb(X7)))) ) ) )
& ( 0 = tb2t(get(int,int,t2tb1(X4),t2tb(0))) )
& ~ $less($sum(X3,$uminus(1)),$sum(X2,tb2t(get(int,int,t2tb1(X4),t2tb($sum(X3,$uminus(1)))))))
& ! [X5: $int] :
( ( $less(X5,X3)
& ~ $less(X5,0) )
=> path(tb2t(get(int,int,t2tb1(X4),t2tb(X5))),X5) ) )
=> ! [X8: $int,X9: $int] :
( ( ~ $less($sum(X3,$uminus(1)),$sum(X8,tb2t(get(int,int,t2tb1(X4),t2tb(X9)))))
& ~ $less(X9,f(X3))
& ! [X10: $int] :
( ( $less(X10,X3)
& $less(X9,X10) )
=> $less(tb2t(get(int,int,t2tb1(X4),t2tb(X9))),tb2t(get(int,int,t2tb1(X4),t2tb(X10)))) )
& $less(X9,X3) )
=> ( ( ~ $less(X9,0)
& $less(X9,n)
& ~ $less(n,0) )
=> ( ~ $less(tb2t(get(int,int,t2tb1(X1),t2tb(X9))),f(X3))
=> ! [X11: $int] :
( ( $sum(X8,1) = X11 )
=> ( ( ~ $less(X9,0)
& $less(X9,n) )
=> ! [X12: $int] :
( ( tb2t(get(int,int,t2tb1(X1),t2tb(X9))) = X12 )
=> ! [X13: $int] :
( ( $less(X13,X3)
& $less(X12,X13) )
=> $less(tb2t(get(int,int,t2tb1(X4),t2tb(X12))),tb2t(get(int,int,t2tb1(X4),t2tb(X13)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f49]) ).
tff(f49,plain,
~ ( ~ $less(n,0)
=> ( ~ $less(n,0)
=> ( ( $less(0,n)
& ~ $less(0,0) )
=> ! [X21: map_int_int] :
( ( ~ $less(n,0)
& ( tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X21 ) )
=> ( ~ $less(n,0)
=> ( ~ $less(n,0)
=> ( ~ $less($sum(n,$uminus(1)),1)
=> ! [X23: map_int_int,X22: $int,X14: $int,X19: map_int_int] :
( ( ~ $less(X14,1)
& ~ $less($sum(n,$uminus(1)),X14) )
=> ( ( ! [X18: $int] :
( ( ~ $less(X18,0)
& $less(X18,X14) )
=> path(tb2t(get(int,int,t2tb1(X19),t2tb(X18))),X18) )
& ~ $less($sum(X14,$uminus(1)),$sum(X22,tb2t(get(int,int,t2tb1(X19),t2tb($sum(X14,$uminus(1)))))))
& ( $uminus(1) = tb2t(get(int,int,t2tb1(X23),t2tb(0))) )
& ( 0 = tb2t(get(int,int,t2tb1(X19),t2tb(0))) )
& ! [X18: $int] :
( ( $less(X18,X14)
& $less(0,X18) )
=> ( ! [X24: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X24)
& $less(X24,X18) )
=> $less(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),tb2t(get(int,int,t2tb1(X19),t2tb(X24)))) )
& $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X18)
& ~ $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),f(X18))
& ( tb2t(get(int,int,t2tb1(X19),t2tb(X18))) = $sum(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),1) )
& $less(tb2t(get(int,int,t2tb1(X23),get(int,int,t2tb1(X23),t2tb(X18)))),f(X18))
& $less(0,tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) ) ) )
=> ! [X25: $int,X15: $int] :
( ( $less(X15,X14)
& ~ $less($sum(X14,$uminus(1)),$sum(X25,tb2t(get(int,int,t2tb1(X19),t2tb(X15)))))
& ! [X18: $int] :
( ( $less(X18,X14)
& $less(X15,X18) )
=> $less(tb2t(get(int,int,t2tb1(X19),t2tb(X15))),tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) )
& ~ $less(X15,f(X14)) )
=> ( ( ~ $less(n,0)
& ~ $less(X15,0)
& $less(X15,n) )
=> ( ~ $less(tb2t(get(int,int,t2tb1(X23),t2tb(X15))),f(X14))
=> ! [X26: $int] :
( ( $sum(X25,1) = X26 )
=> ( ( ~ $less(X15,0)
& $less(X15,n) )
=> ! [X27: $int] :
( ( tb2t(get(int,int,t2tb1(X23),t2tb(X15))) = X27 )
=> ! [X18: $int] :
( ( $less(X27,X18)
& $less(X18,X14) )
=> $less(tb2t(get(int,int,t2tb1(X19),t2tb(X27))),tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f43]) ).
tff(f43,negated_conjecture,
~ ( $lesseq(0,n)
=> ( $lesseq(0,n)
=> ( ( $less(0,n)
& $lesseq(0,0) )
=> ! [X21: map_int_int] :
( ( $lesseq(0,n)
& ( tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X21 ) )
=> ( $lesseq(0,n)
=> ( $lesseq(0,n)
=> ( $lesseq(1,$difference(n,1))
=> ! [X23: map_int_int,X22: $int,X14: $int,X19: map_int_int] :
( ( $lesseq(1,X14)
& $lesseq(X14,$difference(n,1)) )
=> ( ( ! [X18: $int] :
( ( $lesseq(0,X18)
& $less(X18,X14) )
=> path(tb2t(get(int,int,t2tb1(X19),t2tb(X18))),X18) )
& $lesseq($sum(X22,tb2t(get(int,int,t2tb1(X19),t2tb($difference(X14,1))))),$difference(X14,1))
& ( $uminus(1) = tb2t(get(int,int,t2tb1(X23),t2tb(0))) )
& ( 0 = tb2t(get(int,int,t2tb1(X19),t2tb(0))) )
& ! [X18: $int] :
( ( $less(X18,X14)
& $less(0,X18) )
=> ( ! [X24: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X24)
& $less(X24,X18) )
=> $less(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),tb2t(get(int,int,t2tb1(X19),t2tb(X24)))) )
& $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X18)
& $lesseq(f(X18),tb2t(get(int,int,t2tb1(X23),t2tb(X18))))
& ( tb2t(get(int,int,t2tb1(X19),t2tb(X18))) = $sum(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),1) )
& $less(tb2t(get(int,int,t2tb1(X23),get(int,int,t2tb1(X23),t2tb(X18)))),f(X18))
& $less(0,tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) ) ) )
=> ! [X25: $int,X15: $int] :
( ( $less(X15,X14)
& $lesseq($sum(X25,tb2t(get(int,int,t2tb1(X19),t2tb(X15)))),$difference(X14,1))
& ! [X18: $int] :
( ( $less(X18,X14)
& $less(X15,X18) )
=> $less(tb2t(get(int,int,t2tb1(X19),t2tb(X15))),tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) )
& $lesseq(f(X14),X15) )
=> ( ( $lesseq(0,n)
& $lesseq(0,X15)
& $less(X15,n) )
=> ( $lesseq(f(X14),tb2t(get(int,int,t2tb1(X23),t2tb(X15))))
=> ! [X26: $int] :
( ( $sum(X25,1) = X26 )
=> ( ( $lesseq(0,X15)
& $less(X15,n) )
=> ! [X27: $int] :
( ( tb2t(get(int,int,t2tb1(X23),t2tb(X15))) = X27 )
=> ! [X18: $int] :
( ( $less(X27,X18)
& $less(X18,X14) )
=> $less(tb2t(get(int,int,t2tb1(X19),t2tb(X27))),tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f42]) ).
tff(f42,conjecture,
( $lesseq(0,n)
=> ( $lesseq(0,n)
=> ( ( $less(0,n)
& $lesseq(0,0) )
=> ! [X21: map_int_int] :
( ( $lesseq(0,n)
& ( tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X21 ) )
=> ( $lesseq(0,n)
=> ( $lesseq(0,n)
=> ( $lesseq(1,$difference(n,1))
=> ! [X23: map_int_int,X22: $int,X14: $int,X19: map_int_int] :
( ( $lesseq(1,X14)
& $lesseq(X14,$difference(n,1)) )
=> ( ( ! [X18: $int] :
( ( $lesseq(0,X18)
& $less(X18,X14) )
=> path(tb2t(get(int,int,t2tb1(X19),t2tb(X18))),X18) )
& $lesseq($sum(X22,tb2t(get(int,int,t2tb1(X19),t2tb($difference(X14,1))))),$difference(X14,1))
& ( $uminus(1) = tb2t(get(int,int,t2tb1(X23),t2tb(0))) )
& ( 0 = tb2t(get(int,int,t2tb1(X19),t2tb(0))) )
& ! [X18: $int] :
( ( $less(X18,X14)
& $less(0,X18) )
=> ( ! [X24: $int] :
( ( $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X24)
& $less(X24,X18) )
=> $less(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),tb2t(get(int,int,t2tb1(X19),t2tb(X24)))) )
& $less(tb2t(get(int,int,t2tb1(X23),t2tb(X18))),X18)
& $lesseq(f(X18),tb2t(get(int,int,t2tb1(X23),t2tb(X18))))
& ( tb2t(get(int,int,t2tb1(X19),t2tb(X18))) = $sum(tb2t(get(int,int,t2tb1(X19),get(int,int,t2tb1(X23),t2tb(X18)))),1) )
& $less(tb2t(get(int,int,t2tb1(X23),get(int,int,t2tb1(X23),t2tb(X18)))),f(X18))
& $less(0,tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) ) ) )
=> ! [X25: $int,X15: $int] :
( ( $less(X15,X14)
& $lesseq($sum(X25,tb2t(get(int,int,t2tb1(X19),t2tb(X15)))),$difference(X14,1))
& ! [X18: $int] :
( ( $less(X18,X14)
& $less(X15,X18) )
=> $less(tb2t(get(int,int,t2tb1(X19),t2tb(X15))),tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) )
& $lesseq(f(X14),X15) )
=> ( ( $lesseq(0,n)
& $lesseq(0,X15)
& $less(X15,n) )
=> ( $lesseq(f(X14),tb2t(get(int,int,t2tb1(X23),t2tb(X15))))
=> ! [X26: $int] :
( ( $sum(X25,1) = X26 )
=> ( ( $lesseq(0,X15)
& $less(X15,n) )
=> ! [X27: $int] :
( ( tb2t(get(int,int,t2tb1(X23),t2tb(X15))) = X27 )
=> ! [X18: $int] :
( ( $less(X27,X18)
& $less(X18,X14) )
=> $less(tb2t(get(int,int,t2tb1(X19),t2tb(X27))),tb2t(get(int,int,t2tb1(X19),t2tb(X18)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f2910,plain,
( spl45_257
| spl45_256
| ~ spl45_40
| ~ spl45_41
| ~ spl45_75
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f2573,f962,f657,f439,f435,f2888,f2891]) ).
tff(f2891,plain,
( spl45_257
<=> $less(sK6,sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_257])]) ).
tff(f2888,plain,
( spl45_256
<=> ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK9)
| ~ $less(0,X0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(sK9,X0)
| ~ $less(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_256])]) ).
tff(f439,plain,
( spl45_41
<=> ( tb2t(sF43) = sF44 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_41])]) ).
tff(f962,plain,
( spl45_124
<=> ( get(int,int,sF24,sF42) = sF43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_124])]) ).
tff(f2573,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK9)
| ~ $less(0,X0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| $less(sK6,sF44)
| ~ $less(sK9,X0)
| ~ $less(X0,sK4) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_75
| ~ spl45_124 ),
inference(resolution,[],[f1271,f1127]) ).
tff(f1271,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X1)))))
| ~ $less(0,X1)
| ~ $less(X1,sK4)
| ~ $less(sK9,X1)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X1))),sK9)
| $less(X0,sF44) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(resolution,[],[f56,f1078]) ).
tff(f1078,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sF44)
| ~ $less(0,X0)
| ~ $less(sK9,X0)
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK9) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1077,f440]) ).
tff(f440,plain,
( ( tb2t(sF43) = sF44 )
| ~ spl45_41 ),
inference(avatar_component_clause,[],[f439]) ).
tff(f1077,plain,
( ! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(sK9,X0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK9)
| ~ $less(X0,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(sF43)) )
| ~ spl45_40
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1068,f963]) ).
tff(f963,plain,
( ( get(int,int,sF24,sF42) = sF43 )
| ~ spl45_124 ),
inference(avatar_component_clause,[],[f962]) ).
tff(f1068,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK9)
| ~ $less(sK9,X0)
| ~ $less(X0,sK4)
| ~ $less(0,X0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(get(int,int,sF24,sF42))) )
| ~ spl45_40 ),
inference(superposition,[],[f258,f436]) ).
tff(f2893,plain,
( spl45_256
| spl45_257
| ~ spl45_40
| ~ spl45_41
| ~ spl45_75
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f1501,f962,f657,f439,f435,f2891,f2888]) ).
tff(f1501,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK9)
| ~ $less(X0,sK4)
| ~ $less(sK9,X0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(0,X0)
| $less(sK6,sF44) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_75
| ~ spl45_124 ),
inference(resolution,[],[f1271,f1127]) ).
tff(f2886,plain,
( ~ spl45_255
| ~ spl45_75
| ~ spl45_253 ),
inference(avatar_split_clause,[],[f2881,f2870,f657,f2884]) ).
tff(f2884,plain,
( spl45_255
<=> $less(sF27,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_255])]) ).
tff(f2870,plain,
( spl45_253
<=> $less(sK6,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_253])]) ).
tff(f2881,plain,
( ~ $less(sF27,sK7)
| ~ spl45_75
| ~ spl45_253 ),
inference(resolution,[],[f2871,f1168]) ).
tff(f1168,plain,
( ! [X0: $int] :
( ~ $less(sK6,X0)
| ~ $less(X0,sK7) )
| ~ spl45_75 ),
inference(superposition,[],[f67,f658]) ).
tff(f67,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_169,[]) ).
tff(f2871,plain,
( $less(sK6,sF27)
| ~ spl45_253 ),
inference(avatar_component_clause,[],[f2870]) ).
tff(f2880,plain,
( spl45_137
| spl45_138
| ~ spl45_34
| ~ spl45_35
| ~ spl45_75
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(avatar_split_clause,[],[f2879,f1969,f1543,f896,f657,f414,f410,f1323,f1320]) ).
tff(f1320,plain,
( spl45_137
<=> ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(X0,sK4)
| ~ $less(0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_137])]) ).
tff(f414,plain,
( spl45_35
<=> ( tb2t(sF32) = sF33 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_35])]) ).
tff(f896,plain,
( spl45_113
<=> ( get(int,int,sF24,sF31) = sF32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_113])]) ).
tff(f1969,plain,
( spl45_169
<=> ( 0 = sF33 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_169])]) ).
tff(f2879,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| $less(sK6,0)
| ~ $less(X0,sK4)
| ~ $less(0,X0) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_75
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(duplicate_literal_removal,[],[f2878]) ).
tff(f2878,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| $less(sK6,0)
| ~ $less(0,X0)
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(0,X0) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_75
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2877,f1544]) ).
tff(f2877,plain,
( ! [X0: $int] :
( ~ $less(0,X0)
| $less(sK6,0)
| ~ $less(sK5,X0)
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_75
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2876,f1970]) ).
tff(f1970,plain,
( ( 0 = sF33 )
| ~ spl45_169 ),
inference(avatar_component_clause,[],[f1969]) ).
tff(f2876,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| $less(sK6,sF33)
| ~ $less(0,X0)
| ~ $less(X0,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(sK5,X0) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_75
| ~ spl45_113
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1420,f1544]) ).
tff(f1420,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK5)
| ~ $less(0,X0)
| ~ $less(X0,sK4)
| $less(sK6,sF33)
| ~ $less(sK5,X0) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_75
| ~ spl45_113 ),
inference(resolution,[],[f1269,f1127]) ).
tff(f1269,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X1)))))
| ~ $less(sK5,X1)
| ~ $less(0,X1)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X1))),sK5)
| $less(X0,sF33)
| ~ $less(X1,sK4) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113 ),
inference(resolution,[],[f56,f1082]) ).
tff(f1082,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sF33)
| ~ $less(sK5,X0)
| ~ $less(0,X0)
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK5) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113 ),
inference(forward_demodulation,[],[f1081,f415]) ).
tff(f415,plain,
( ( tb2t(sF32) = sF33 )
| ~ spl45_35 ),
inference(avatar_component_clause,[],[f414]) ).
tff(f1081,plain,
( ! [X0: $int] :
( ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK5)
| ~ $less(sK5,X0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(sF32))
| ~ $less(0,X0) )
| ~ spl45_34
| ~ spl45_113 ),
inference(forward_demodulation,[],[f1066,f897]) ).
tff(f897,plain,
( ( get(int,int,sF24,sF31) = sF32 )
| ~ spl45_113 ),
inference(avatar_component_clause,[],[f896]) ).
tff(f1066,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK5)
| ~ $less(sK5,X0)
| ~ $less(X0,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(get(int,int,sF24,sF31)))
| ~ $less(0,X0) )
| ~ spl45_34 ),
inference(superposition,[],[f258,f411]) ).
tff(f2875,plain,
( spl45_253
| spl45_254
| ~ spl45_31
| ~ spl45_32
| ~ spl45_75
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f1403,f877,f657,f401,f397,f2873,f2870]) ).
tff(f2873,plain,
( spl45_254
<=> ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(0,X0)
| ~ $less(sF23,X0)
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sF23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_254])]) ).
tff(f397,plain,
( spl45_31
<=> ( t2tb(sF23) = sF25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_31])]) ).
tff(f401,plain,
( spl45_32
<=> ( tb2t(sF26) = sF27 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_32])]) ).
tff(f877,plain,
( spl45_111
<=> ( get(int,int,sF24,sF25) = sF26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_111])]) ).
tff(f1403,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sF23)
| ~ $less(X0,sK4)
| $less(sK6,sF27)
| ~ $less(sF23,X0)
| ~ $less(0,X0) )
| ~ spl45_31
| ~ spl45_32
| ~ spl45_75
| ~ spl45_111 ),
inference(resolution,[],[f1268,f1127]) ).
tff(f1268,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X1)))))
| ~ $less(sF23,X1)
| ~ $less(0,X1)
| $less(X0,sF27)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X1))),sF23)
| ~ $less(X1,sK4) )
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(resolution,[],[f56,f1074]) ).
tff(f1074,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sF27)
| ~ $less(sF23,X0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sF23)
| ~ $less(0,X0)
| ~ $less(X0,sK4) )
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(forward_demodulation,[],[f1073,f402]) ).
tff(f402,plain,
( ( tb2t(sF26) = sF27 )
| ~ spl45_32 ),
inference(avatar_component_clause,[],[f401]) ).
tff(f1073,plain,
( ! [X0: $int] :
( ~ $less(sF23,X0)
| ~ $less(X0,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(sF26))
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sF23)
| ~ $less(0,X0) )
| ~ spl45_31
| ~ spl45_111 ),
inference(forward_demodulation,[],[f1069,f878]) ).
tff(f878,plain,
( ( get(int,int,sF24,sF25) = sF26 )
| ~ spl45_111 ),
inference(avatar_component_clause,[],[f877]) ).
tff(f1069,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(get(int,int,sF24,sF25)))
| ~ $less(sF23,X0)
| ~ $less(0,X0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sF23)
| ~ $less(X0,sK4) )
| ~ spl45_31 ),
inference(superposition,[],[f258,f398]) ).
tff(f398,plain,
( ( t2tb(sF23) = sF25 )
| ~ spl45_31 ),
inference(avatar_component_clause,[],[f397]) ).
tff(f2866,plain,
( ~ spl45_51
| ~ spl45_60
| ~ spl45_218
| ~ spl45_216
| spl45_250
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f2577,f962,f439,f435,f397,f2833,f2406,f2412,f564,f512]) ).
tff(f512,plain,
( spl45_51
<=> $less(sF23,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_51])]) ).
tff(f564,plain,
( spl45_60
<=> $less(0,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_60])]) ).
tff(f2412,plain,
( spl45_218
<=> $less(sK9,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_218])]) ).
tff(f2406,plain,
( spl45_216
<=> $less(tb2t(get(int,int,sF20,sF25)),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_216])]) ).
tff(f2833,plain,
( spl45_250
<=> ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| $less(X0,sF44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_250])]) ).
tff(f2577,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| ~ $less(0,sF23)
| $less(X0,sF44)
| ~ $less(sK9,sF23)
| ~ $less(sF23,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK9) )
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(superposition,[],[f1271,f398]) ).
tff(f2865,plain,
( ~ spl45_179
| ~ spl45_93
| ~ spl45_252
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2848,f2096,f921,f883,f674,f451,f374,f2863,f754,f2093]) ).
tff(f2093,plain,
( spl45_179
<=> $less(tb2t(get(int,int,sF20,sF40)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_179])]) ).
tff(f754,plain,
( spl45_93
<=> $less(sF41,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_93])]) ).
tff(f2863,plain,
( spl45_252
<=> $less(0,tb2t(get(int,int,sF20,sF40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_252])]) ).
tff(f674,plain,
( spl45_79
<=> ( 0 = tb2t(sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_79])]) ).
tff(f883,plain,
( spl45_112
<=> ( sF15 = get(int,int,sF24,sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_112])]) ).
tff(f921,plain,
( spl45_119
<=> ( sF40 = t2tb(sF41) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_119])]) ).
tff(f2096,plain,
( spl45_180
<=> $less(0,sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_180])]) ).
tff(f2848,plain,
( ~ $less(0,tb2t(get(int,int,sF20,sF40)))
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2847,f1865]) ).
tff(f1865,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,sK4) )
| ~ spl45_42 ),
inference(resolution,[],[f1855,f56]) ).
tff(f2847,plain,
( ~ $less(tb2t(get(int,int,sF20,sF40)),sK4)
| ~ $less(0,tb2t(get(int,int,sF20,sF40)))
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f1526,f2264]) ).
tff(f2264,plain,
( $less(0,sF41)
| ~ spl45_180 ),
inference(avatar_component_clause,[],[f2096]) ).
tff(f1526,plain,
( ~ $less(0,tb2t(get(int,int,sF20,sF40)))
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(0,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK4)
| ~ $less(sF41,sK4)
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(superposition,[],[f1306,f922]) ).
tff(f922,plain,
( ( sF40 = t2tb(sF41) )
| ~ spl45_119 ),
inference(avatar_component_clause,[],[f921]) ).
tff(f1306,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK4)
| ~ $less(0,X0)
| ~ $less(0,tb2t(get(int,int,sF20,t2tb(X0))))
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(X0,sK4) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(evaluation,[],[f1291]) ).
tff(f1291,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK4)
| ~ $less(X0,sK4)
| ~ $less(0,X0)
| $less(0,0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(0,tb2t(get(int,int,sF20,t2tb(X0)))) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f1266,f590]) ).
tff(f590,plain,
! [X0: uni] :
( $less(0,tb2t(get(int,int,sF24,X0)))
| ~ $less(tb2t(X0),sK4)
| ~ $less(0,tb2t(X0)) ),
inference(superposition,[],[f254,f144]) ).
tff(f144,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X15: uni] : ( t2tb(tb2t(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f254,plain,
! [X6: $int] :
( $less(0,tb2t(get(int,int,sF24,t2tb(X6))))
| ~ $less(0,X6)
| ~ $less(X6,sK4) ),
inference(definition_folding,[],[f163,f229]) ).
tff(f163,plain,
! [X6: $int] :
( ~ $less(0,X6)
| $less(0,tb2t(get(int,int,t2tb1(sK3),t2tb(X6))))
| ~ $less(X6,sK4) ),
inference(cnf_transformation,[],[f121]) ).
tff(f1266,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X1)))))
| $less(X0,0)
| ~ $less(0,X1)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X1))),0)
| ~ $less(X1,sK4) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f56,f1080]) ).
tff(f1080,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(0,X0)
| ~ $less(X0,sK4) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(forward_demodulation,[],[f1079,f675]) ).
tff(f675,plain,
( ( 0 = tb2t(sF15) )
| ~ spl45_79 ),
inference(avatar_component_clause,[],[f674]) ).
tff(f1079,plain,
( ! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(sF15))
| ~ $less(X0,sK4) )
| ~ spl45_26
| ~ spl45_112 ),
inference(forward_demodulation,[],[f1072,f884]) ).
tff(f884,plain,
( ( sF15 = get(int,int,sF24,sF15) )
| ~ spl45_112 ),
inference(avatar_component_clause,[],[f883]) ).
tff(f1072,plain,
( ! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(X0,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(get(int,int,sF24,sF15)))
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0) )
| ~ spl45_26 ),
inference(duplicate_literal_removal,[],[f1064]) ).
tff(f1064,plain,
( ! [X0: $int] :
( ~ $less(0,X0)
| ~ $less(X0,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),tb2t(get(int,int,sF24,sF15)))
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(0,X0) )
| ~ spl45_26 ),
inference(superposition,[],[f258,f375]) ).
tff(f2843,plain,
( spl45_238
| ~ spl45_210
| ~ spl45_208
| ~ spl45_93
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2838,f2096,f962,f921,f439,f435,f754,f2322,f2328,f2650]) ).
tff(f2650,plain,
( spl45_238
<=> ! [X0: $int] :
( $less(X0,sF44)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_238])]) ).
tff(f2328,plain,
( spl45_210
<=> $less(sK9,sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_210])]) ).
tff(f2322,plain,
( spl45_208
<=> $less(tb2t(get(int,int,sF20,sF40)),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_208])]) ).
tff(f2838,plain,
( ! [X0: $int] :
( $less(X0,sF44)
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(sK9,sF41)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40)))) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f1511,f2264]) ).
tff(f1511,plain,
( ! [X0: $int] :
( ~ $less(sK9,sF41)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| $less(X0,sF44)
| ~ $less(sF41,sK4)
| ~ $less(0,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124 ),
inference(superposition,[],[f1271,f922]) ).
tff(f2842,plain,
( ~ spl45_251
| ~ spl45_178
| ~ spl45_60
| ~ spl45_51
| ~ spl45_26
| ~ spl45_31
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2836,f883,f674,f451,f397,f374,f512,f564,f2086,f2840]) ).
tff(f2840,plain,
( spl45_251
<=> $less(0,tb2t(get(int,int,sF20,sF25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_251])]) ).
tff(f2086,plain,
( spl45_178
<=> $less(tb2t(get(int,int,sF20,sF25)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_178])]) ).
tff(f2836,plain,
( ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(0,tb2t(get(int,int,sF20,sF25)))
| ~ spl45_26
| ~ spl45_31
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f1523,f1865]) ).
tff(f1523,plain,
( ~ $less(tb2t(get(int,int,sF20,sF25)),sK4)
| ~ $less(0,tb2t(get(int,int,sF20,sF25)))
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1306,f398]) ).
tff(f2835,plain,
( ~ spl45_51
| ~ spl45_60
| ~ spl45_218
| ~ spl45_216
| spl45_250
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f1508,f962,f439,f435,f397,f2833,f2406,f2412,f564,f512]) ).
tff(f1508,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| ~ $less(sF23,sK4)
| $less(X0,sF44)
| ~ $less(0,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK9)
| ~ $less(sK9,sF23) )
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(superposition,[],[f1271,f398]) ).
tff(f2827,plain,
( ~ spl45_176
| ~ spl45_55
| ~ spl45_207
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2826,f883,f674,f451,f435,f374,f269,f2314,f546,f2079]) ).
tff(f2079,plain,
( spl45_176
<=> $less(tb2t(get(int,int,sF20,sF42)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_176])]) ).
tff(f2314,plain,
( spl45_207
<=> $less(0,tb2t(get(int,int,sF20,sF42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_207])]) ).
tff(f2826,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(0,tb2t(get(int,int,sF20,sF42)))
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2825,f1865]) ).
tff(f2825,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),sK4)
| ~ $less(0,tb2t(get(int,int,sF20,sF42)))
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f1522,f270]) ).
tff(f1522,plain,
( ~ $less(sK9,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(0,sK9)
| ~ $less(0,tb2t(get(int,int,sF20,sF42)))
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK4)
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1306,f436]) ).
tff(f2823,plain,
( ~ spl45_179
| ~ spl45_93
| spl45_235
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_169
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2822,f2096,f1969,f1543,f921,f896,f414,f410,f2639,f754,f2093]) ).
tff(f2639,plain,
( spl45_235
<=> ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| $less(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_235])]) ).
tff(f2822,plain,
( ! [X0: $int] :
( ~ $less(sF41,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| $less(X0,0)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_169
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2821,f2264]) ).
tff(f2821,plain,
( ! [X0: $int] :
( ~ $less(sF41,sK4)
| $less(X0,0)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ $less(0,sF41) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_169
| ~ spl45_180 ),
inference(forward_demodulation,[],[f2820,f1544]) ).
tff(f2820,plain,
( ! [X0: $int] :
( ~ $less(sK5,sF41)
| $less(X0,0)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(sF41,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40)))) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_169
| ~ spl45_180 ),
inference(forward_demodulation,[],[f2819,f1970]) ).
tff(f2819,plain,
( ! [X0: $int] :
( ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| $less(X0,sF33)
| ~ $less(sK5,sF41)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40)))) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_180 ),
inference(forward_demodulation,[],[f2818,f1544]) ).
tff(f2818,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK5)
| ~ $less(sK5,sF41)
| ~ $less(sF41,sK4)
| $less(X0,sF33) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f1430,f2264]) ).
tff(f1430,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK5)
| ~ $less(0,sF41)
| ~ $less(sK5,sF41)
| ~ $less(sF41,sK4)
| $less(X0,sF33) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119 ),
inference(superposition,[],[f1269,f922]) ).
tff(f2814,plain,
( spl45_249
| ~ spl45_60
| ~ spl45_51
| ~ spl45_178
| ~ spl45_26
| ~ spl45_31
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2673,f883,f674,f451,f397,f374,f2086,f512,f564,f2812]) ).
tff(f2812,plain,
( spl45_249
<=> ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| $less(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_249])]) ).
tff(f2673,plain,
( ! [X0: $int] :
( ~ $less(0,sF23)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(sF23,sK4) )
| ~ spl45_26
| ~ spl45_31
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f2369,f398]) ).
tff(f2369,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))))
| ~ $less(0,X0)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(X0,sK4)
| $less(X1,sK4) )
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f2358,f56]) ).
tff(f2358,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK4)
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(0,X0) )
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f1865,f1080]) ).
tff(f2762,plain,
( ~ spl45_60
| ~ spl45_51
| spl45_234
| ~ spl45_178
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(avatar_split_clause,[],[f2761,f1969,f1543,f896,f414,f410,f397,f2086,f2626,f512,f564]) ).
tff(f2626,plain,
( spl45_234
<=> ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_234])]) ).
tff(f2761,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(0,sF23)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| ~ $less(sF23,sK4) )
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(duplicate_literal_removal,[],[f2760]) ).
tff(f2760,plain,
( ! [X0: $int] :
( ~ $less(0,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| $less(X0,0)
| ~ $less(0,sF23)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| ~ $less(sF23,sK4) )
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2759,f1544]) ).
tff(f2759,plain,
( ! [X0: $int] :
( ~ $less(sK5,sF23)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(sF23,sK4)
| $less(X0,0)
| ~ $less(0,sF23) )
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2758,f1970]) ).
tff(f2758,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| $less(X0,sF33)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(sK5,sF23)
| ~ $less(sF23,sK4)
| ~ $less(0,sF23) )
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1427,f1544]) ).
tff(f1427,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,sF25)),sK5)
| ~ $less(sK5,sF23)
| ~ $less(sF23,sK4)
| $less(X0,sF33)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| ~ $less(0,sF23) )
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113 ),
inference(superposition,[],[f1269,f398]) ).
tff(f2757,plain,
( ~ spl45_179
| ~ spl45_93
| spl45_248
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2712,f2096,f921,f883,f674,f374,f297,f2755,f754,f2093]) ).
tff(f2755,plain,
( spl45_248
<=> ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| $less(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_248])]) ).
tff(f297,plain,
( spl45_8
<=> $less(0,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_8])]) ).
tff(f2712,plain,
( ! [X0: $int] :
( ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| $less(X0,n) )
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f1448,f2264]) ).
tff(f1448,plain,
( ! [X0: $int] :
( ~ $less(sF41,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(0,sF41)
| $less(X0,n) )
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(superposition,[],[f1381,f922]) ).
tff(f1381,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(X1,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))))
| ~ $less(X0,sK4)
| $less(X1,n)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(0,X0) )
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f1327,f56]) ).
tff(f1327,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),n)
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(0,X0) )
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f1260,f1080]) ).
tff(f1260,plain,
( ! [X0: $int] :
( ~ $less(X0,0)
| $less(X0,n) )
| ~ spl45_8 ),
inference(resolution,[],[f56,f298]) ).
tff(f298,plain,
( $less(0,n)
| ~ spl45_8 ),
inference(avatar_component_clause,[],[f297]) ).
tff(f2751,plain,
( ~ spl45_247
| ~ spl45_75
| ~ spl45_245 ),
inference(avatar_split_clause,[],[f2746,f2740,f657,f2749]) ).
tff(f2740,plain,
( spl45_245
<=> $less(sK6,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_245])]) ).
tff(f2746,plain,
( ~ $less(sF23,sK7)
| ~ spl45_75
| ~ spl45_245 ),
inference(resolution,[],[f2741,f1168]) ).
tff(f2741,plain,
( $less(sK6,sF23)
| ~ spl45_245 ),
inference(avatar_component_clause,[],[f2740]) ).
tff(f2745,plain,
( spl45_245
| spl45_246
| spl45_171 ),
inference(avatar_split_clause,[],[f1983,f1979,f2743,f2740]) ).
tff(f2743,plain,
( spl45_246
<=> ( sK6 = sF23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_246])]) ).
tff(f1979,plain,
( spl45_171
<=> $less(sF23,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_171])]) ).
tff(f1983,plain,
( $less(sK6,sF23)
| ( sK6 = sF23 )
| spl45_171 ),
inference(resolution,[],[f1980,f57]) ).
tff(f1980,plain,
( ~ $less(sF23,sK6)
| spl45_171 ),
inference(avatar_component_clause,[],[f1979]) ).
tff(f2738,plain,
( ~ spl45_55
| spl45_204
| ~ spl45_176
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(avatar_split_clause,[],[f2735,f1969,f1543,f896,f435,f414,f410,f269,f2079,f2293,f546]) ).
tff(f2293,plain,
( spl45_204
<=> ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_204])]) ).
tff(f2735,plain,
( ! [X0: $int] :
( ~ $less(0,sK9)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(X0,0) )
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2734,f1544]) ).
tff(f2734,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,sF42)),sK5)
| ~ $less(0,sK9)
| $less(X0,0)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2733,f1970]) ).
tff(f2733,plain,
( ! [X0: $int] :
( $less(X0,sF33)
| ~ $less(0,sK9)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK5) )
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142 ),
inference(duplicate_literal_removal,[],[f2732]) ).
tff(f2732,plain,
( ! [X0: $int] :
( ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK5)
| $less(X0,sF33)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(0,sK9) )
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142 ),
inference(forward_demodulation,[],[f2731,f1544]) ).
tff(f2731,plain,
( ! [X0: $int] :
( ~ $less(sK5,sK9)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| $less(X0,sF33)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK5)
| ~ $less(0,sK9) )
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113 ),
inference(subsumption_resolution,[],[f1426,f270]) ).
tff(f1426,plain,
( ! [X0: $int] :
( $less(X0,sF33)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(sK5,sK9)
| ~ $less(sK9,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK5)
| ~ $less(0,sK9) )
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113 ),
inference(superposition,[],[f1269,f436]) ).
tff(f2730,plain,
( spl45_244
| ~ spl45_163
| ~ spl45_242 ),
inference(avatar_split_clause,[],[f2725,f2714,f1933,f2728]) ).
tff(f2728,plain,
( spl45_244
<=> $less(sF35,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_244])]) ).
tff(f2714,plain,
( spl45_242
<=> $less(sF35,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_242])]) ).
tff(f2725,plain,
( $less(sF35,sK9)
| ~ spl45_163
| ~ spl45_242 ),
inference(resolution,[],[f2715,f1948]) ).
tff(f1948,plain,
( ! [X0: $int] :
( ~ $less(X0,-1)
| $less(X0,sK9) )
| ~ spl45_163 ),
inference(resolution,[],[f1934,f56]) ).
tff(f2715,plain,
( $less(sF35,-1)
| ~ spl45_242 ),
inference(avatar_component_clause,[],[f2714]) ).
tff(f2719,plain,
( spl45_242
| spl45_243
| spl45_165 ),
inference(avatar_split_clause,[],[f1953,f1941,f2717,f2714]) ).
tff(f2717,plain,
( spl45_243
<=> ( sF35 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_243])]) ).
tff(f1941,plain,
( spl45_165
<=> $less(-1,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_165])]) ).
tff(f1953,plain,
( ( sF35 = -1 )
| $less(sF35,-1)
| spl45_165 ),
inference(resolution,[],[f1942,f57]) ).
tff(f1942,plain,
( ~ $less(-1,sF35)
| spl45_165 ),
inference(avatar_component_clause,[],[f1941]) ).
tff(f2694,plain,
( ~ spl45_51
| spl45_241
| ~ spl45_178
| ~ spl45_60
| ~ spl45_8
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f1445,f883,f674,f397,f374,f297,f564,f2086,f2692,f512]) ).
tff(f2692,plain,
( spl45_241
<=> ! [X0: $int] :
( $less(X0,n)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_241])]) ).
tff(f1445,plain,
( ! [X0: $int] :
( ~ $less(0,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| $less(X0,n)
| ~ $less(sF23,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) )
| ~ spl45_8
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1381,f398]) ).
tff(f2688,plain,
( ~ spl45_176
| spl45_205
| ~ spl45_55
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2687,f883,f674,f435,f374,f297,f269,f546,f2306,f2079]) ).
tff(f2306,plain,
( spl45_205
<=> ! [X0: $int] :
( $less(X0,n)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_205])]) ).
tff(f2687,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(X0,n) )
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f1444,f270]) ).
tff(f1444,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(X0,n)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(0,sK9)
| ~ $less(sK9,sK4) )
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1381,f436]) ).
tff(f2686,plain,
( spl45_240
| ~ spl45_179
| ~ spl45_93
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2678,f2096,f921,f883,f674,f451,f374,f754,f2093,f2684]) ).
tff(f2684,plain,
( spl45_240
<=> ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| $less(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_240])]) ).
tff(f2678,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| $less(X0,sK4)
| ~ $less(sF41,sK4) )
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2675,f2264]) ).
tff(f2675,plain,
( ! [X0: $int] :
( ~ $less(sF41,sK4)
| ~ $less(0,sF41)
| $less(X0,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ $less(tb2t(get(int,int,sF20,sF40)),0) )
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(superposition,[],[f2369,f922]) ).
tff(f2682,plain,
( ~ spl45_55
| ~ spl45_176
| spl45_239
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2677,f883,f674,f451,f435,f374,f269,f2680,f2079,f546]) ).
tff(f2680,plain,
( spl45_239
<=> ! [X0: $int] :
( $less(X0,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_239])]) ).
tff(f2677,plain,
( ! [X0: $int] :
( ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(X0,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2672,f270]) ).
tff(f2672,plain,
( ! [X0: $int] :
( $less(X0,sK4)
| ~ $less(sK9,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(0,sK9) )
| ~ spl45_26
| ~ spl45_40
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f2369,f436]) ).
tff(f2655,plain,
( spl45_217
| ~ spl45_236
| ~ spl45_237
| ~ spl45_60
| ~ spl45_51
| ~ spl45_31
| ~ spl45_39
| ~ spl45_62
| ~ spl45_123
| ~ spl45_162 ),
inference(avatar_split_clause,[],[f2608,f1929,f945,f600,f431,f397,f512,f564,f2646,f2643,f2409]) ).
tff(f2409,plain,
( spl45_217
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_217])]) ).
tff(f2646,plain,
( spl45_237
<=> $less(tb2t(get(int,int,sF20,sF25)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_237])]) ).
tff(f2608,plain,
( ~ $less(-1,sF23)
| ~ $less(sF23,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF25)),-1)
| ~ $less(0,sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF41)
| ~ spl45_31
| ~ spl45_39
| ~ spl45_62
| ~ spl45_123
| ~ spl45_162 ),
inference(forward_demodulation,[],[f2607,f1930]) ).
tff(f2607,plain,
( ~ $less(sF23,sK4)
| ~ $less(-1,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK8)
| ~ $less(0,sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF41)
| ~ spl45_31
| ~ spl45_39
| ~ spl45_62
| ~ spl45_123
| ~ spl45_162 ),
inference(forward_demodulation,[],[f1174,f1930]) ).
tff(f1174,plain,
( ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ~ $less(sK8,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK8)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF41)
| ~ spl45_31
| ~ spl45_39
| ~ spl45_62
| ~ spl45_123 ),
inference(superposition,[],[f1076,f398]) ).
tff(f2652,plain,
( ~ spl45_208
| ~ spl45_210
| spl45_238
| ~ spl45_93
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2581,f2096,f962,f921,f439,f435,f754,f2650,f2328,f2322]) ).
tff(f2581,plain,
( ! [X0: $int] :
( ~ $less(sK9,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(sF41,sK4)
| $less(X0,sF44)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40)))) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2579,f2264]) ).
tff(f2579,plain,
( ! [X0: $int] :
( ~ $less(sK9,sF41)
| $less(X0,sF44)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ $less(sF41,sK4)
| ~ $less(0,sF41) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124 ),
inference(superposition,[],[f1271,f922]) ).
tff(f2648,plain,
( ~ spl45_60
| ~ spl45_236
| spl45_217
| ~ spl45_237
| ~ spl45_51
| ~ spl45_26
| ~ spl45_31
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162 ),
inference(avatar_split_clause,[],[f2505,f1929,f1543,f945,f909,f865,f684,f600,f431,f423,f410,f397,f374,f512,f2646,f2409,f2643,f564]) ).
tff(f2505,plain,
( ~ $less(tb2t(get(int,int,sF20,sF25)),-1)
| ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF41)
| ~ $less(-1,sF23)
| ~ spl45_26
| ~ spl45_31
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162 ),
inference(superposition,[],[f2500,f398]) ).
tff(f2641,plain,
( ~ spl45_93
| spl45_235
| ~ spl45_179
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2637,f2096,f921,f883,f674,f374,f2093,f2639,f754]) ).
tff(f2637,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(sF41,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| $less(X0,0) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f1304,f2264]) ).
tff(f1304,plain,
( ! [X0: $int] :
( ~ $less(sF41,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ $less(0,sF41)
| $less(X0,0)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(superposition,[],[f1266,f922]) ).
tff(f2628,plain,
( spl45_234
| ~ spl45_178
| ~ spl45_51
| ~ spl45_60
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f1301,f883,f674,f397,f374,f564,f512,f2086,f2626]) ).
tff(f1301,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| ~ $less(sF23,sK4)
| ~ $less(0,sF23) )
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1266,f398]) ).
tff(f2624,plain,
( spl45_233
| ~ spl45_226 ),
inference(avatar_split_clause,[],[f2534,f2523,f2622]) ).
tff(f2622,plain,
( spl45_233
<=> ( sK4 = $sum(-1,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_233])]) ).
tff(f2523,plain,
( spl45_226
<=> ( sK4 = $sum(n,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_226])]) ).
tff(f2534,plain,
( ( sK4 = $sum(-1,n) )
| ~ spl45_226 ),
inference(superposition,[],[f2524,f50]) ).
tff(f50,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_143,[]) ).
tff(f2524,plain,
( ( sK4 = $sum(n,-1) )
| ~ spl45_226 ),
inference(avatar_component_clause,[],[f2523]) ).
tff(f2617,plain,
( ~ spl45_176
| spl45_204
| ~ spl45_55
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2616,f883,f674,f435,f374,f269,f546,f2293,f2079]) ).
tff(f2616,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| $less(X0,0)
| ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0) )
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f1300,f270]) ).
tff(f1300,plain,
( ! [X0: $int] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| $less(X0,0)
| ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(sK9,sK4) )
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1266,f436]) ).
tff(f2600,plain,
( ~ spl45_224
| spl45_225
| ~ spl45_55
| ~ spl45_1
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_123
| ~ spl45_162
| ~ spl45_163 ),
inference(avatar_split_clause,[],[f2591,f1933,f1929,f945,f600,f435,f431,f269,f546,f2516,f2513]) ).
tff(f2516,plain,
( spl45_225
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_225])]) ).
tff(f2591,plain,
( ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),-1)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41)
| ~ spl45_1
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_123
| ~ spl45_162
| ~ spl45_163 ),
inference(forward_demodulation,[],[f2590,f1930]) ).
tff(f2590,plain,
( ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK8)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41)
| ~ spl45_1
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_123
| ~ spl45_162
| ~ spl45_163 ),
inference(subsumption_resolution,[],[f2589,f1934]) ).
tff(f2589,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK8)
| ~ $less(-1,sK9)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_123
| ~ spl45_162 ),
inference(forward_demodulation,[],[f2588,f1930]) ).
tff(f2588,plain,
( ~ $less(sK8,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK8)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_123 ),
inference(subsumption_resolution,[],[f1173,f270]) ).
tff(f1173,plain,
( ~ $less(sK8,sK9)
| ~ $less(sK9,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK8)
| ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41)
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_123 ),
inference(superposition,[],[f1076,f436]) ).
tff(f2567,plain,
( ~ spl45_178
| ~ spl45_60
| ~ spl45_232
| ~ spl45_51
| ~ spl45_8
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2485,f883,f674,f397,f374,f297,f512,f2565,f564,f2086]) ).
tff(f2565,plain,
( spl45_232
<=> $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_232])]) ).
tff(f2485,plain,
( ~ $less(sF23,sK4)
| ~ $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,sF25))))
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(0,sF23)
| ~ spl45_8
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f2439,f398]) ).
tff(f2439,plain,
( ! [X0: $int] :
( ~ $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))))
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(0,X0) )
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2438,f1327]) ).
tff(f2438,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),n)
| ~ $less(0,X0)
| ~ $less(X0,sK4)
| ~ $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0))))) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2430,f138]) ).
tff(f2430,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0)
| ~ $less(X0,sK4)
| ~ $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))))
| $less(f(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0))))),0)
| ~ $less(0,X0)
| ~ $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),n) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f139,f1266]) ).
tff(f139,plain,
! [X0: $int] :
( $less(f(X0),X0)
| ~ $less(0,X0)
| ~ $less(X0,n) ),
inference(cnf_transformation,[],[f118]) ).
tff(f2559,plain,
( ~ spl45_230
| ~ spl45_93
| spl45_209
| ~ spl45_231
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_119
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2511,f2096,f1929,f1543,f945,f921,f909,f865,f684,f600,f431,f423,f410,f374,f2557,f2325,f754,f2554]) ).
tff(f2325,plain,
( spl45_209
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_209])]) ).
tff(f2557,plain,
( spl45_231
<=> $less(tb2t(get(int,int,sF20,sF40)),-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_231])]) ).
tff(f2511,plain,
( ~ $less(-1,sF41)
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),-1)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF41)
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_119
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2507,f2264]) ).
tff(f2507,plain,
( ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),-1)
| ~ $less(0,sF41)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF41)
| ~ $less(-1,sF41)
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_119
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162 ),
inference(superposition,[],[f2500,f922]) ).
tff(f2552,plain,
( ~ spl45_55
| ~ spl45_229
| ~ spl45_176
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2490,f883,f674,f435,f374,f297,f269,f2079,f2550,f546]) ).
tff(f2550,plain,
( spl45_229
<=> $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_229])]) ).
tff(f2490,plain,
( ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2484,f270]) ).
tff(f2484,plain,
( ~ $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(sK9,sK4)
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f2439,f436]) ).
tff(f2548,plain,
( spl45_228
| ~ spl45_8
| ~ spl45_220 ),
inference(avatar_split_clause,[],[f2528,f2421,f297,f2546]) ).
tff(f2546,plain,
( spl45_228
<=> $less(sF35,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_228])]) ).
tff(f2528,plain,
( $less(sF35,n)
| ~ spl45_8
| ~ spl45_220 ),
inference(resolution,[],[f2422,f1260]) ).
tff(f2544,plain,
( spl45_227
| ~ spl45_42
| ~ spl45_220 ),
inference(avatar_split_clause,[],[f2527,f2421,f451,f2542]) ).
tff(f2542,plain,
( spl45_227
<=> $less(sF35,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_227])]) ).
tff(f2527,plain,
( $less(sF35,sK4)
| ~ spl45_42
| ~ spl45_220 ),
inference(resolution,[],[f2422,f1865]) ).
tff(f2525,plain,
( spl45_226
| ~ spl45_76
| ~ spl45_190 ),
inference(avatar_split_clause,[],[f2491,f2154,f661,f2523]) ).
tff(f661,plain,
( spl45_76
<=> ( sF14 = $sum(n,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_76])]) ).
tff(f2154,plain,
( spl45_190
<=> ( sK4 = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_190])]) ).
tff(f2491,plain,
( ( sK4 = $sum(n,-1) )
| ~ spl45_76
| ~ spl45_190 ),
inference(backward_demodulation,[],[f662,f2155]) ).
tff(f2155,plain,
( ( sK4 = sF14 )
| ~ spl45_190 ),
inference(avatar_component_clause,[],[f2154]) ).
tff(f662,plain,
( ( sF14 = $sum(n,-1) )
| ~ spl45_76 ),
inference(avatar_component_clause,[],[f661]) ).
tff(f2518,plain,
( ~ spl45_224
| ~ spl45_55
| spl45_225
| ~ spl45_1
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162
| ~ spl45_163 ),
inference(avatar_split_clause,[],[f2510,f1933,f1929,f1543,f945,f909,f865,f684,f600,f435,f431,f423,f410,f374,f269,f2516,f546,f2513]) ).
tff(f2510,plain,
( ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41)
| ~ $less(tb2t(get(int,int,sF20,sF42)),-1)
| ~ spl45_1
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162
| ~ spl45_163 ),
inference(subsumption_resolution,[],[f2509,f1934]) ).
tff(f2509,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),-1)
| ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41)
| ~ $less(-1,sK9)
| ~ spl45_1
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162 ),
inference(subsumption_resolution,[],[f2504,f270]) ).
tff(f2504,plain,
( ~ $less(0,sK9)
| ~ $less(sK9,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF42)),-1)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF41)
| ~ $less(-1,sK9)
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_62
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142
| ~ spl45_162 ),
inference(superposition,[],[f2500,f436]) ).
tff(f2498,plain,
( ~ spl45_179
| ~ spl45_93
| ~ spl45_223
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2489,f2096,f921,f883,f674,f374,f297,f2496,f754,f2093]) ).
tff(f2496,plain,
( spl45_223
<=> $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_223])]) ).
tff(f2489,plain,
( ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2487,f2264]) ).
tff(f2487,plain,
( ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(0,sF41)
| ~ $less(0,tb2t(get(int,int,sF24,get(int,int,sF20,sF40))))
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(superposition,[],[f2439,f922]) ).
tff(f2479,plain,
( ~ spl45_218
| ~ spl45_60
| ~ spl45_216
| spl45_222
| ~ spl45_51
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f2452,f962,f439,f435,f397,f512,f2468,f2406,f564,f2412]) ).
tff(f2468,plain,
( spl45_222
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_222])]) ).
tff(f2452,plain,
( ~ $less(sK9,sF23)
| ~ $less(sF23,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK9)
| ~ $less(0,sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF44)
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(superposition,[],[f1078,f398]) ).
tff(f2478,plain,
( ~ spl45_51
| spl45_222
| ~ spl45_60
| ~ spl45_218
| ~ spl45_216
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f2033,f962,f439,f435,f397,f2406,f2412,f564,f2468,f512]) ).
tff(f2033,plain,
( ~ $less(sF23,sK4)
| ~ $less(sK9,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF44)
| ~ $less(0,sF23)
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(superposition,[],[f1078,f398]) ).
tff(f2470,plain,
( ~ spl45_218
| ~ spl45_51
| ~ spl45_216
| ~ spl45_60
| spl45_222
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f1148,f962,f439,f435,f397,f2468,f564,f2406,f512,f2412]) ).
tff(f1148,plain,
( ~ $less(sK9,sF23)
| ~ $less(0,sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF44)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK9)
| ~ $less(sF23,sK4)
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(superposition,[],[f1078,f398]) ).
tff(f2466,plain,
( ~ spl45_208
| ~ spl45_93
| ~ spl45_210
| spl45_221
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2456,f2096,f962,f921,f439,f435,f2460,f2328,f754,f2322]) ).
tff(f2460,plain,
( spl45_221
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_221])]) ).
tff(f2456,plain,
( ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF44)
| ~ $less(sK9,sF41)
| ~ $less(sF41,sK4)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2454,f2264]) ).
tff(f2454,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF44)
| ~ $less(0,sF41)
| ~ $less(sK9,sF41)
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124 ),
inference(superposition,[],[f1078,f922]) ).
tff(f2463,plain,
( ~ spl45_208
| ~ spl45_210
| ~ spl45_93
| spl45_221
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2402,f2096,f962,f921,f439,f435,f2460,f754,f2328,f2322]) ).
tff(f2402,plain,
( ~ $less(sK9,sF41)
| ~ $less(sF41,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF44)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2035,f2264]) ).
tff(f2035,plain,
( ~ $less(sF41,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF44)
| ~ $less(sK9,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(0,sF41)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124 ),
inference(superposition,[],[f1078,f922]) ).
tff(f2462,plain,
( ~ spl45_93
| ~ spl45_208
| spl45_221
| ~ spl45_210
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2317,f2096,f962,f921,f439,f435,f2328,f2460,f2322,f754]) ).
tff(f2317,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF44)
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(sK9,sF41)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f1151,f2264]) ).
tff(f1151,plain,
( ~ $less(sK9,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(sF41,sK4)
| ~ $less(0,sF41)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF44)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124 ),
inference(superposition,[],[f1078,f922]) ).
tff(f2447,plain,
( spl45_165
| ~ spl45_219 ),
inference(avatar_contradiction_clause,[],[f2446]) ).
tff(f2446,plain,
( $false
| spl45_165
| ~ spl45_219 ),
inference(evaluation,[],[f2443]) ).
tff(f2443,plain,
( ~ $less(-1,0)
| spl45_165
| ~ spl45_219 ),
inference(backward_demodulation,[],[f1942,f2419]) ).
tff(f2419,plain,
( ( 0 = sF35 )
| ~ spl45_219 ),
inference(avatar_component_clause,[],[f2418]) ).
tff(f2418,plain,
( spl45_219
<=> ( 0 = sF35 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_219])]) ).
tff(f2423,plain,
( spl45_219
| spl45_220
| spl45_158 ),
inference(avatar_split_clause,[],[f1866,f1862,f2421,f2418]) ).
tff(f1862,plain,
( spl45_158
<=> $less(0,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_158])]) ).
tff(f1866,plain,
( $less(sF35,0)
| ( 0 = sF35 )
| spl45_158 ),
inference(resolution,[],[f1863,f57]) ).
tff(f1863,plain,
( ~ $less(0,sF35)
| spl45_158 ),
inference(avatar_component_clause,[],[f1862]) ).
tff(f2416,plain,
( spl45_209
| ~ spl45_93
| ~ spl45_210
| ~ spl45_208
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180
| ~ spl45_195 ),
inference(avatar_split_clause,[],[f2415,f2229,f2096,f962,f921,f439,f435,f2322,f2328,f754,f2325]) ).
tff(f2229,plain,
( spl45_195
<=> ( sF41 = sF44 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_195])]) ).
tff(f2415,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF41)
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(sK9,sF41)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180
| ~ spl45_195 ),
inference(subsumption_resolution,[],[f2253,f2264]) ).
tff(f2253,plain,
( ~ $less(0,sF41)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF41)
| ~ $less(sK9,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(sF41,sK4)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_195 ),
inference(superposition,[],[f2245,f922]) ).
tff(f2245,plain,
( ! [X0: $int] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sF41)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),sK9)
| ~ $less(sK9,X0)
| ~ $less(0,X0)
| ~ $less(X0,sK4) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124
| ~ spl45_195 ),
inference(backward_demodulation,[],[f1078,f2230]) ).
tff(f2230,plain,
( ( sF41 = sF44 )
| ~ spl45_195 ),
inference(avatar_component_clause,[],[f2229]) ).
tff(f2414,plain,
( ~ spl45_216
| spl45_217
| ~ spl45_60
| ~ spl45_51
| ~ spl45_218
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124
| ~ spl45_195 ),
inference(avatar_split_clause,[],[f2251,f2229,f962,f439,f435,f397,f2412,f512,f564,f2409,f2406]) ).
tff(f2251,plain,
( ~ $less(0,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK9)
| ~ $less(sF23,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF41)
| ~ $less(sK9,sF23)
| ~ spl45_31
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124
| ~ spl45_195 ),
inference(superposition,[],[f2245,f398]) ).
tff(f2404,plain,
( ~ spl45_93
| spl45_209
| ~ spl45_208
| ~ spl45_210
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180
| ~ spl45_195 ),
inference(avatar_split_clause,[],[f2403,f2229,f2096,f962,f921,f439,f435,f2328,f2322,f2325,f754]) ).
tff(f2403,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF41)
| ~ $less(sK9,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| ~ $less(sF41,sK4)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180
| ~ spl45_195 ),
inference(forward_demodulation,[],[f2402,f2230]) ).
tff(f2394,plain,
( ~ spl45_51
| ~ spl45_60
| spl45_215
| ~ spl45_178
| ~ spl45_26
| ~ spl45_31
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2373,f883,f674,f451,f397,f374,f2086,f2392,f564,f512]) ).
tff(f2392,plain,
( spl45_215
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_215])]) ).
tff(f2373,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sK4)
| ~ $less(sF23,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(0,sF23)
| ~ spl45_26
| ~ spl45_31
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f2358,f398]) ).
tff(f2390,plain,
( ~ spl45_93
| ~ spl45_179
| spl45_214
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2378,f2096,f921,f883,f674,f451,f374,f2388,f2093,f754]) ).
tff(f2388,plain,
( spl45_214
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_214])]) ).
tff(f2378,plain,
( ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sK4)
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2375,f2264]) ).
tff(f2375,plain,
( ~ $less(sF41,sK4)
| ~ $less(0,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sK4)
| ~ spl45_26
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(superposition,[],[f2358,f922]) ).
tff(f2386,plain,
( ~ spl45_176
| ~ spl45_55
| spl45_213
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2377,f883,f674,f451,f435,f374,f269,f2384,f546,f2079]) ).
tff(f2384,plain,
( spl45_213
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_213])]) ).
tff(f2377,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sK4)
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2372,f270]) ).
tff(f2372,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sK4)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(sK9,sK4)
| ~ $less(0,sK9)
| ~ spl45_26
| ~ spl45_40
| ~ spl45_42
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f2358,f436]) ).
tff(f2382,plain,
( ~ spl45_212
| ~ spl45_75
| ~ spl45_211 ),
inference(avatar_split_clause,[],[f2367,f2364,f657,f2380]) ).
tff(f2380,plain,
( spl45_212
<=> $less(sK4,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_212])]) ).
tff(f2364,plain,
( spl45_211
<=> $less(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_211])]) ).
tff(f2367,plain,
( ~ $less(sK4,sK7)
| ~ spl45_75
| ~ spl45_211 ),
inference(resolution,[],[f2365,f1168]) ).
tff(f2365,plain,
( $less(sK6,sK4)
| ~ spl45_211 ),
inference(avatar_component_clause,[],[f2364]) ).
tff(f2366,plain,
( spl45_211
| ~ spl45_42
| ~ spl45_75
| spl45_135 ),
inference(avatar_split_clause,[],[f2362,f1235,f657,f451,f2364]) ).
tff(f1235,plain,
( spl45_135
<=> $less(0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_135])]) ).
tff(f2362,plain,
( $less(sK6,sK4)
| ~ spl45_42
| ~ spl45_75
| spl45_135 ),
inference(subsumption_resolution,[],[f2361,f1249]) ).
tff(f1249,plain,
( ~ $less(0,sK7)
| spl45_135 ),
inference(avatar_component_clause,[],[f1235]) ).
tff(f2361,plain,
( $less(0,sK7)
| $less(sK6,sK4)
| ~ spl45_42
| ~ spl45_75 ),
inference(resolution,[],[f1865,f1127]) ).
tff(f2355,plain,
( ~ spl45_93
| ~ spl45_179
| spl45_181
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_169
| ~ spl45_180 ),
inference(avatar_split_clause,[],[f2354,f2096,f1969,f1543,f921,f896,f414,f410,f2099,f2093,f754]) ).
tff(f2099,plain,
( spl45_181
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_181])]) ).
tff(f2354,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),0)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(sF41,sK4)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_169
| ~ spl45_180 ),
inference(forward_demodulation,[],[f2353,f1970]) ).
tff(f2353,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF33)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(sF41,sK4)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_180 ),
inference(forward_demodulation,[],[f2352,f1544]) ).
tff(f2352,plain,
( ~ $less(tb2t(get(int,int,sF20,sF40)),sK5)
| ~ $less(sF41,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF33)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f2351,f2264]) ).
tff(f2351,plain,
( ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK5)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF33)
| ~ $less(0,sF41)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_142
| ~ spl45_180 ),
inference(forward_demodulation,[],[f2350,f1544]) ).
tff(f2350,plain,
( ~ $less(sK5,sF41)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF33)
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK5)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119
| ~ spl45_180 ),
inference(subsumption_resolution,[],[f1161,f2264]) ).
tff(f1161,plain,
( ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK5)
| ~ $less(sK5,sF41)
| ~ $less(0,sF41)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF33)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_119 ),
inference(superposition,[],[f1082,f922]) ).
tff(f2342,plain,
( ~ spl45_60
| ~ spl45_51
| spl45_177
| ~ spl45_178
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(avatar_split_clause,[],[f2341,f1969,f1543,f896,f414,f410,f397,f2086,f2083,f512,f564]) ).
tff(f2083,plain,
( spl45_177
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_177])]) ).
tff(f2341,plain,
( ~ $less(sF23,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),0)
| ~ $less(0,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2340,f1970]) ).
tff(f2340,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF33)
| ~ $less(0,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(sF23,sK4)
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142 ),
inference(forward_demodulation,[],[f2339,f1544]) ).
tff(f2339,plain,
( ~ $less(tb2t(get(int,int,sF20,sF25)),sK5)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF33)
| ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142 ),
inference(duplicate_literal_removal,[],[f2338]) ).
tff(f2338,plain,
( ~ $less(tb2t(get(int,int,sF20,sF25)),sK5)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF33)
| ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ~ $less(0,sF23)
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1158,f1544]) ).
tff(f1158,plain,
( ~ $less(sF23,sK4)
| ~ $less(sK5,sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),sF33)
| ~ $less(0,sF23)
| ~ $less(tb2t(get(int,int,sF20,sF25)),sK5)
| ~ spl45_31
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113 ),
inference(superposition,[],[f1082,f398]) ).
tff(f2337,plain,
( spl45_175
| ~ spl45_176
| ~ spl45_55
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(avatar_split_clause,[],[f2336,f1969,f1543,f896,f435,f414,f410,f269,f546,f2079,f2076]) ).
tff(f2076,plain,
( spl45_175
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_175])]) ).
tff(f2336,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(duplicate_literal_removal,[],[f2335]) ).
tff(f2335,plain,
( ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2334,f1544]) ).
tff(f2334,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0)
| ~ $less(sK5,sK9)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_142
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2333,f1544]) ).
tff(f2333,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),sK5)
| ~ $less(sK5,sK9)
| ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0)
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113
| ~ spl45_169 ),
inference(forward_demodulation,[],[f2332,f1970]) ).
tff(f2332,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF33)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK5)
| ~ $less(0,sK9)
| ~ $less(sK5,sK9)
| ~ spl45_1
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113 ),
inference(subsumption_resolution,[],[f1157,f270]) ).
tff(f1157,plain,
( ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK5)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF33)
| ~ $less(sK9,sK4)
| ~ $less(sK5,sK9)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_40
| ~ spl45_113 ),
inference(superposition,[],[f1082,f436]) ).
tff(f2330,plain,
( ~ spl45_208
| spl45_209
| ~ spl45_210
| ~ spl45_93
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180
| ~ spl45_195 ),
inference(avatar_split_clause,[],[f2318,f2229,f2096,f962,f921,f439,f435,f754,f2328,f2325,f2322]) ).
tff(f2318,plain,
( ~ $less(sK9,sF41)
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF41)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_119
| ~ spl45_124
| ~ spl45_180
| ~ spl45_195 ),
inference(forward_demodulation,[],[f2317,f2230]) ).
tff(f2316,plain,
( ~ spl45_55
| ~ spl45_206
| ~ spl45_176
| ~ spl45_207
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2179,f883,f674,f435,f374,f269,f2314,f2079,f2311,f546]) ).
tff(f2311,plain,
( spl45_206
<=> $less(tb2t(get(int,int,sF20,sF42)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_206])]) ).
tff(f2179,plain,
( ~ $less(0,tb2t(get(int,int,sF20,sF42)))
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK4)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2173,f270]) ).
tff(f2173,plain,
( ~ $less(0,tb2t(get(int,int,sF20,sF42)))
| ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sK4)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(sK9,sK4)
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1306,f436]) ).
tff(f2308,plain,
( spl45_205
| ~ spl45_176
| ~ spl45_55
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2178,f883,f674,f435,f374,f297,f269,f546,f2079,f2306]) ).
tff(f2178,plain,
( ! [X0: $int] :
( $less(X0,n)
| ~ $less(0,sK9)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(tb2t(get(int,int,sF20,sF42)),0) )
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2175,f270]) ).
tff(f2175,plain,
( ! [X0: $int] :
( ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(X0,n)
| ~ $less(0,sK9)
| ~ $less(sK9,sK4)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1381,f436]) ).
tff(f2295,plain,
( spl45_204
| ~ spl45_176
| ~ spl45_55
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2193,f883,f674,f435,f374,f269,f546,f2079,f2293]) ).
tff(f2193,plain,
( ! [X0: $int] :
( ~ $less(0,sK9)
| $less(X0,0)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2171,f270]) ).
tff(f2171,plain,
( ! [X0: $int] :
( ~ $less(sK9,sK4)
| ~ $less(0,sK9)
| $less(X0,0)
| ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,sF42))))
| ~ $less(tb2t(get(int,int,sF20,sF42)),0) )
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1266,f436]) ).
tff(f2291,plain,
( spl45_203
| ~ spl45_125
| ~ spl45_195 ),
inference(avatar_split_clause,[],[f2244,f2229,f978,f2289]) ).
tff(f2289,plain,
( spl45_203
<=> path(sF41,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_203])]) ).
tff(f978,plain,
( spl45_125
<=> path(sF44,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_125])]) ).
tff(f2244,plain,
( path(sF41,sK9)
| ~ spl45_125
| ~ spl45_195 ),
inference(backward_demodulation,[],[f979,f2230]) ).
tff(f979,plain,
( path(sF44,sK9)
| ~ spl45_125 ),
inference(avatar_component_clause,[],[f978]) ).
tff(f2287,plain,
( spl45_202
| ~ spl45_41
| ~ spl45_195 ),
inference(avatar_split_clause,[],[f2242,f2229,f439,f2285]) ).
tff(f2285,plain,
( spl45_202
<=> ( sF41 = tb2t(sF43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_202])]) ).
tff(f2242,plain,
( ( sF41 = tb2t(sF43) )
| ~ spl45_41
| ~ spl45_195 ),
inference(backward_demodulation,[],[f440,f2230]) ).
tff(f2279,plain,
( spl45_201
| ~ spl45_93
| ~ spl45_180
| ~ spl45_179
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(avatar_split_clause,[],[f1390,f921,f883,f674,f374,f297,f2093,f2096,f754,f2277]) ).
tff(f2277,plain,
( spl45_201
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_201])]) ).
tff(f1390,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),n)
| ~ $less(sF41,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ $less(0,sF41)
| ~ spl45_8
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(superposition,[],[f1327,f922]) ).
tff(f2275,plain,
( ~ spl45_180
| ~ spl45_198
| spl45_199
| ~ spl45_200
| ~ spl45_93
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111
| ~ spl45_119 ),
inference(avatar_split_clause,[],[f1136,f921,f877,f401,f397,f754,f2273,f2270,f2267,f2096]) ).
tff(f2267,plain,
( spl45_198
<=> $less(sF23,sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_198])]) ).
tff(f2270,plain,
( spl45_199
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_199])]) ).
tff(f2273,plain,
( spl45_200
<=> $less(tb2t(get(int,int,sF20,sF40)),sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_200])]) ).
tff(f1136,plain,
( ~ $less(0,sF41)
| ~ $less(tb2t(get(int,int,sF20,sF40)),sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),sF27)
| ~ $less(sF41,sK4)
| ~ $less(sF23,sF41)
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111
| ~ spl45_119 ),
inference(superposition,[],[f1074,f922]) ).
tff(f2265,plain,
( spl45_180
| ~ spl45_106
| ~ spl45_195 ),
inference(avatar_split_clause,[],[f2243,f2229,f839,f2096]) ).
tff(f2243,plain,
( $less(0,sF41)
| ~ spl45_106
| ~ spl45_195 ),
inference(backward_demodulation,[],[f975,f2230]) ).
tff(f2259,plain,
( ~ spl45_51
| ~ spl45_60
| spl45_197
| ~ spl45_178
| ~ spl45_8
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f1387,f883,f674,f397,f374,f297,f2086,f2257,f564,f512]) ).
tff(f2257,plain,
( spl45_197
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_197])]) ).
tff(f1387,plain,
( ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ $less(0,sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),n)
| ~ $less(sF23,sK4)
| ~ spl45_8
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1327,f398]) ).
tff(f2255,plain,
( ~ spl45_55
| ~ spl45_176
| spl45_194
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2225,f883,f674,f435,f374,f297,f269,f2217,f2079,f546]) ).
tff(f2217,plain,
( spl45_194
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_194])]) ).
tff(f2225,plain,
( ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),n)
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f1386,f270]) ).
tff(f1386,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),n)
| ~ $less(0,sK9)
| ~ $less(sK9,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1327,f436]) ).
tff(f2234,plain,
( spl45_195
| spl45_196
| spl45_20 ),
inference(avatar_split_clause,[],[f1373,f345,f2232,f2229]) ).
tff(f2232,plain,
( spl45_196
<=> $less(sF44,sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_196])]) ).
tff(f345,plain,
( spl45_20
<=> $less(sF41,sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_20])]) ).
tff(f1373,plain,
( $less(sF44,sF41)
| ( sF41 = sF44 )
| spl45_20 ),
inference(resolution,[],[f57,f346]) ).
tff(f346,plain,
( ~ $less(sF41,sF44)
| spl45_20 ),
inference(avatar_component_clause,[],[f345]) ).
tff(f2222,plain,
( spl45_188
| ~ spl45_55
| ~ spl45_187
| ~ spl45_186
| ~ spl45_1
| ~ spl45_31
| ~ spl45_32
| ~ spl45_40
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f2194,f877,f435,f401,f397,f269,f2132,f2135,f546,f2138]) ).
tff(f2138,plain,
( spl45_188
<=> $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_188])]) ).
tff(f2132,plain,
( spl45_186
<=> $less(tb2t(get(int,int,sF20,sF42)),sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_186])]) ).
tff(f2194,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF27)
| ~ $less(sF23,sK9)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_31
| ~ spl45_32
| ~ spl45_40
| ~ spl45_111 ),
inference(subsumption_resolution,[],[f2168,f270]) ).
tff(f2168,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),sF23)
| ~ $less(sF23,sK9)
| ~ $less(sK9,sK4)
| ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF27)
| ~ spl45_31
| ~ spl45_32
| ~ spl45_40
| ~ spl45_111 ),
inference(superposition,[],[f1074,f436]) ).
tff(f2219,plain,
( spl45_194
| ~ spl45_176
| ~ spl45_55
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2180,f883,f674,f435,f374,f297,f269,f546,f2079,f2217]) ).
tff(f2180,plain,
( ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),n)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ spl45_1
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2174,f270]) ).
tff(f2174,plain,
( ~ $less(sK9,sK4)
| ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),n)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ spl45_8
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1327,f436]) ).
tff(f2215,plain,
( ~ spl45_55
| ~ spl45_176
| spl45_175
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2189,f883,f674,f435,f374,f269,f2076,f2079,f546]) ).
tff(f2189,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0)
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f2170,f270]) ).
tff(f2170,plain,
( ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(sK9,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0)
| ~ $less(0,sK9)
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1080,f436]) ).
tff(f2212,plain,
( spl45_193
| ~ spl45_73
| ~ spl45_191 ),
inference(avatar_split_clause,[],[f2206,f2200,f648,f2210]) ).
tff(f2210,plain,
( spl45_193
<=> ( sF23 = $sum(sK1,sF27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_193])]) ).
tff(f648,plain,
( spl45_73
<=> ( $sum(sK1,sF27) = sF28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_73])]) ).
tff(f2200,plain,
( spl45_191
<=> ( sF23 = sF28 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_191])]) ).
tff(f2206,plain,
( ( sF23 = $sum(sK1,sF27) )
| ~ spl45_73
| ~ spl45_191 ),
inference(backward_demodulation,[],[f649,f2201]) ).
tff(f2201,plain,
( ( sF23 = sF28 )
| ~ spl45_191 ),
inference(avatar_component_clause,[],[f2200]) ).
tff(f649,plain,
( ( $sum(sK1,sF27) = sF28 )
| ~ spl45_73 ),
inference(avatar_component_clause,[],[f648]) ).
tff(f2208,plain,
( ~ spl45_55
| spl45_174
| ~ spl45_1
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f2197,f962,f439,f435,f269,f2003,f546]) ).
tff(f2003,plain,
( spl45_174
<=> ( sF44 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_174])]) ).
tff(f2197,plain,
( ( sF44 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(forward_demodulation,[],[f2196,f440]) ).
tff(f2196,plain,
( ~ $less(0,sK9)
| ( tb2t(sF43) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ spl45_1
| ~ spl45_40
| ~ spl45_124 ),
inference(forward_demodulation,[],[f2195,f963]) ).
tff(f2195,plain,
( ~ $less(0,sK9)
| ( tb2t(get(int,int,sF24,sF42)) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ spl45_1
| ~ spl45_40 ),
inference(subsumption_resolution,[],[f2167,f270]) ).
tff(f2167,plain,
( ( tb2t(get(int,int,sF24,sF42)) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(sK9,sK4)
| ~ $less(0,sK9)
| ~ spl45_40 ),
inference(superposition,[],[f785,f436]) ).
tff(f785,plain,
! [X6: $int] :
( ( tb2t(get(int,int,sF24,t2tb(X6))) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X6))))) )
| ~ $less(0,X6)
| ~ $less(X6,sK4) ),
inference(backward_demodulation,[],[f252,f50]) ).
tff(f252,plain,
! [X6: $int] :
( ( tb2t(get(int,int,sF24,t2tb(X6))) = $sum(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X6)))),1) )
| ~ $less(0,X6)
| ~ $less(X6,sK4) ),
inference(definition_folding,[],[f165,f224,f229,f229]) ).
tff(f165,plain,
! [X6: $int] :
( ~ $less(0,X6)
| ( tb2t(get(int,int,t2tb1(sK3),t2tb(X6))) = $sum(tb2t(get(int,int,t2tb1(sK3),get(int,int,t2tb1(sK2),t2tb(X6)))),1) )
| ~ $less(X6,sK4) ),
inference(cnf_transformation,[],[f121]) ).
tff(f2205,plain,
( spl45_191
| spl45_192
| spl45_12 ),
inference(avatar_split_clause,[],[f1369,f313,f2203,f2200]) ).
tff(f2203,plain,
( spl45_192
<=> $less(sF28,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_192])]) ).
tff(f313,plain,
( spl45_12
<=> $less(sF23,sF28) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_12])]) ).
tff(f1369,plain,
( $less(sF28,sF23)
| ( sF23 = sF28 )
| spl45_12 ),
inference(resolution,[],[f57,f314]) ).
tff(f314,plain,
( ~ $less(sF23,sF28)
| spl45_12 ),
inference(avatar_component_clause,[],[f313]) ).
tff(f2156,plain,
( spl45_189
| spl45_190
| spl45_13 ),
inference(avatar_split_clause,[],[f1354,f317,f2154,f2151]) ).
tff(f2151,plain,
( spl45_189
<=> $less(sK4,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_189])]) ).
tff(f317,plain,
( spl45_13
<=> $less(sF14,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_13])]) ).
tff(f1354,plain,
( ( sK4 = sF14 )
| $less(sK4,sF14)
| spl45_13 ),
inference(resolution,[],[f57,f318]) ).
tff(f318,plain,
( ~ $less(sF14,sK4)
| spl45_13 ),
inference(avatar_component_clause,[],[f317]) ).
tff(f2140,plain,
( ~ spl45_186
| ~ spl45_187
| ~ spl45_55
| spl45_188
| ~ spl45_1
| ~ spl45_31
| ~ spl45_32
| ~ spl45_40
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f2129,f877,f435,f401,f397,f269,f2138,f546,f2135,f2132]) ).
tff(f2129,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF27)
| ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sF23)
| ~ $less(sF23,sK9)
| ~ spl45_1
| ~ spl45_31
| ~ spl45_32
| ~ spl45_40
| ~ spl45_111 ),
inference(subsumption_resolution,[],[f1132,f270]) ).
tff(f1132,plain,
( ~ $less(sK9,sK4)
| ~ $less(0,sK9)
| ~ $less(sF23,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),sF27)
| ~ spl45_31
| ~ spl45_32
| ~ spl45_40
| ~ spl45_111 ),
inference(superposition,[],[f1074,f436]) ).
tff(f2121,plain,
( spl45_13
| ~ spl45_182
| ~ spl45_184 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
tff(f2120,plain,
( $false
| spl45_13
| ~ spl45_182
| ~ spl45_184 ),
inference(subsumption_resolution,[],[f2118,f2104]) ).
tff(f2104,plain,
( $less(1,sK4)
| ~ spl45_182 ),
inference(avatar_component_clause,[],[f2103]) ).
tff(f2103,plain,
( spl45_182
<=> $less(1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_182])]) ).
tff(f2118,plain,
( ~ $less(1,sK4)
| spl45_13
| ~ spl45_184 ),
inference(backward_demodulation,[],[f318,f2112]) ).
tff(f2112,plain,
( ( 1 = sF14 )
| ~ spl45_184 ),
inference(avatar_component_clause,[],[f2111]) ).
tff(f2111,plain,
( spl45_184
<=> ( 1 = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_184])]) ).
tff(f2116,plain,
( spl45_184
| spl45_185
| spl45_9 ),
inference(avatar_split_clause,[],[f1350,f301,f2114,f2111]) ).
tff(f2114,plain,
( spl45_185
<=> $less(1,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_185])]) ).
tff(f301,plain,
( spl45_9
<=> $less(sF14,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_9])]) ).
tff(f1350,plain,
( $less(1,sF14)
| ( 1 = sF14 )
| spl45_9 ),
inference(resolution,[],[f57,f302]) ).
tff(f302,plain,
( ~ $less(sF14,1)
| spl45_9 ),
inference(avatar_component_clause,[],[f301]) ).
tff(f2108,plain,
( spl45_182
| spl45_183
| spl45_7 ),
inference(avatar_split_clause,[],[f1349,f293,f2106,f2103]) ).
tff(f2106,plain,
( spl45_183
<=> ( 1 = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_183])]) ).
tff(f293,plain,
( spl45_7
<=> $less(sK4,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_7])]) ).
tff(f1349,plain,
( ( 1 = sK4 )
| $less(1,sK4)
| spl45_7 ),
inference(resolution,[],[f57,f294]) ).
tff(f294,plain,
( ~ $less(sK4,1)
| spl45_7 ),
inference(avatar_component_clause,[],[f293]) ).
tff(f2101,plain,
( ~ spl45_93
| ~ spl45_179
| ~ spl45_180
| spl45_181
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(avatar_split_clause,[],[f1113,f921,f883,f674,f374,f2099,f2096,f2093,f754]) ).
tff(f1113,plain,
( ~ $less(0,sF41)
| ~ $less(sF41,sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF40))),0)
| ~ $less(tb2t(get(int,int,sF20,sF40)),0)
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_119 ),
inference(superposition,[],[f1080,f922]) ).
tff(f2088,plain,
( spl45_177
| ~ spl45_178
| ~ spl45_51
| ~ spl45_60
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f1110,f883,f674,f397,f374,f564,f512,f2086,f2083]) ).
tff(f1110,plain,
( ~ $less(sF23,sK4)
| ~ $less(0,sF23)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),0)
| ~ $less(tb2t(get(int,int,sF20,sF25)),0)
| ~ spl45_26
| ~ spl45_31
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1080,f398]) ).
tff(f2081,plain,
( ~ spl45_55
| spl45_175
| ~ spl45_176
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f2073,f883,f674,f435,f374,f269,f2079,f2076,f546]) ).
tff(f2073,plain,
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0)
| ~ $less(0,sK9)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ spl45_1
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(subsumption_resolution,[],[f1109,f270]) ).
tff(f1109,plain,
( ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),0)
| ~ $less(tb2t(get(int,int,sF20,sF42)),0)
| ~ $less(sK9,sK4)
| ~ spl45_26
| ~ spl45_40
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1080,f436]) ).
tff(f2072,plain,
( spl45_70
| ~ spl45_1
| ~ spl45_163 ),
inference(avatar_split_clause,[],[f2061,f1933,f269,f637]) ).
tff(f637,plain,
( spl45_70
<=> $less(-1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_70])]) ).
tff(f2061,plain,
( $less(-1,sK4)
| ~ spl45_1
| ~ spl45_163 ),
inference(resolution,[],[f1285,f1934]) ).
tff(f1285,plain,
( ! [X0: $int] :
( ~ $less(X0,sK9)
| $less(X0,sK4) )
| ~ spl45_1 ),
inference(resolution,[],[f56,f270]) ).
tff(f2020,plain,
( spl45_174
| ~ spl45_55
| ~ spl45_1
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f2007,f962,f439,f435,f269,f546,f2003]) ).
tff(f2007,plain,
( ( sF44 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(subsumption_resolution,[],[f1832,f270]) ).
tff(f1832,plain,
( ~ $less(sK9,sK4)
| ( sF44 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(0,sK9)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1831,f440]) ).
tff(f1831,plain,
( ~ $less(0,sK9)
| ( tb2t(sF43) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(sK9,sK4)
| ~ spl45_40
| ~ spl45_124 ),
inference(forward_demodulation,[],[f810,f963]) ).
tff(f810,plain,
( ~ $less(0,sK9)
| ( tb2t(get(int,int,sF24,sF42)) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(sK9,sK4)
| ~ spl45_40 ),
inference(superposition,[],[f785,f436]) ).
tff(f2005,plain,
( spl45_174
| ~ spl45_55
| ~ spl45_1
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f2000,f962,f439,f435,f269,f546,f2003]) ).
tff(f2000,plain,
( ( sF44 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(0,sK9)
| ~ spl45_1
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(subsumption_resolution,[],[f1822,f270]) ).
tff(f1822,plain,
( ~ $less(0,sK9)
| ( sF44 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(sK9,sK4)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1821,f440]) ).
tff(f1821,plain,
( ~ $less(0,sK9)
| ( tb2t(sF43) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(sK9,sK4)
| ~ spl45_40
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1820,f963]) ).
tff(f1820,plain,
( ( tb2t(get(int,int,sF24,sF42)) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF42)))) )
| ~ $less(0,sK9)
| ~ $less(sK9,sK4)
| ~ spl45_40 ),
inference(forward_demodulation,[],[f709,f50]) ).
tff(f709,plain,
( ( tb2t(get(int,int,sF24,sF42)) = $sum(tb2t(get(int,int,sF24,get(int,int,sF20,sF42))),1) )
| ~ $less(sK9,sK4)
| ~ $less(0,sK9)
| ~ spl45_40 ),
inference(superposition,[],[f252,f436]) ).
tff(f1995,plain,
( ~ spl45_173
| ~ spl45_142
| spl45_146
| ~ spl45_162 ),
inference(avatar_split_clause,[],[f1990,f1929,f1738,f1543,f1993]) ).
tff(f1738,plain,
( spl45_146
<=> $less(sK8,f(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_146])]) ).
tff(f1990,plain,
( ~ $less(-1,f(0))
| ~ spl45_142
| spl45_146
| ~ spl45_162 ),
inference(forward_demodulation,[],[f1989,f1930]) ).
tff(f1989,plain,
( ~ $less(sK8,f(0))
| ~ spl45_142
| spl45_146 ),
inference(forward_demodulation,[],[f1739,f1544]) ).
tff(f1739,plain,
( ~ $less(sK8,f(sK5))
| spl45_146 ),
inference(avatar_component_clause,[],[f1738]) ).
tff(f1987,plain,
( spl45_172
| ~ spl45_26
| ~ spl45_34
| ~ spl45_63
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1911,f1543,f909,f865,f612,f410,f374,f1985]) ).
tff(f1985,plain,
( spl45_172
<=> ( sF17 = sF39 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_172])]) ).
tff(f612,plain,
( spl45_63
<=> ( sF36 = sF39 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_63])]) ).
tff(f1911,plain,
( ( sF17 = sF39 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_63
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(backward_demodulation,[],[f613,f1895]) ).
tff(f613,plain,
( ( sF36 = sF39 )
| ~ spl45_63 ),
inference(avatar_component_clause,[],[f612]) ).
tff(f1981,plain,
( ~ spl45_171
| spl45_15
| ~ spl45_26
| ~ spl45_34
| ~ spl45_35
| ~ spl45_74
| ~ spl45_79
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1973,f1543,f896,f883,f674,f652,f414,f410,f374,f325,f1979]) ).
tff(f325,plain,
( spl45_15
<=> $less(sF23,sF34) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_15])]) ).
tff(f652,plain,
( spl45_74
<=> ( $sum(sK6,sF33) = sF34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_74])]) ).
tff(f1973,plain,
( ~ $less(sF23,sK6)
| spl45_15
| ~ spl45_26
| ~ spl45_34
| ~ spl45_35
| ~ spl45_74
| ~ spl45_79
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(backward_demodulation,[],[f326,f1972]) ).
tff(f1972,plain,
( ( sK6 = sF34 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_35
| ~ spl45_74
| ~ spl45_79
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(evaluation,[],[f1962]) ).
tff(f1962,plain,
( ( sF34 = $sum(sK6,0) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_35
| ~ spl45_74
| ~ spl45_79
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(backward_demodulation,[],[f653,f1960]) ).
tff(f1960,plain,
( ( 0 = sF33 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_35
| ~ spl45_79
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1955,f675]) ).
tff(f1955,plain,
( ( sF33 = tb2t(sF15) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_35
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(backward_demodulation,[],[f415,f1896]) ).
tff(f1896,plain,
( ( sF15 = sF32 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1890,f884]) ).
tff(f1890,plain,
( ( get(int,int,sF24,sF15) = sF32 )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_113
| ~ spl45_142 ),
inference(backward_demodulation,[],[f897,f1888]) ).
tff(f653,plain,
( ( $sum(sK6,sF33) = sF34 )
| ~ spl45_74 ),
inference(avatar_component_clause,[],[f652]) ).
tff(f326,plain,
( ~ $less(sF23,sF34)
| spl45_15 ),
inference(avatar_component_clause,[],[f325]) ).
tff(f1977,plain,
( spl45_170
| ~ spl45_26
| ~ spl45_34
| ~ spl45_35
| ~ spl45_74
| ~ spl45_79
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1972,f1543,f896,f883,f674,f652,f414,f410,f374,f1975]) ).
tff(f1975,plain,
( spl45_170
<=> ( sK6 = sF34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_170])]) ).
tff(f1971,plain,
( spl45_169
| ~ spl45_26
| ~ spl45_34
| ~ spl45_35
| ~ spl45_79
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1960,f1543,f896,f883,f674,f414,f410,f374,f1969]) ).
tff(f1959,plain,
( spl45_168
| ~ spl45_26
| ~ spl45_34
| ~ spl45_112
| ~ spl45_113
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1896,f1543,f896,f883,f410,f374,f1957]) ).
tff(f1957,plain,
( spl45_168
<=> ( sF15 = sF32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_168])]) ).
tff(f1952,plain,
( spl45_167
| ~ spl45_26
| ~ spl45_34
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1910,f1543,f945,f909,f865,f410,f374,f1950]) ).
tff(f1950,plain,
( spl45_167
<=> ( sF40 = get(int,int,sF24,sF17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_167])]) ).
tff(f1910,plain,
( ( sF40 = get(int,int,sF24,sF17) )
| ~ spl45_26
| ~ spl45_34
| ~ spl45_110
| ~ spl45_116
| ~ spl45_123
| ~ spl45_142 ),
inference(backward_demodulation,[],[f946,f1895]) ).
tff(f1947,plain,
( spl45_166
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_139
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1927,f1543,f1335,f909,f865,f684,f423,f410,f374,f1945]) ).
tff(f1945,plain,
( spl45_166
<=> $less(-1,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_166])]) ).
tff(f1335,plain,
( spl45_139
<=> $less(sK8,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_139])]) ).
tff(f1927,plain,
( $less(-1,n)
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_139
| ~ spl45_142 ),
inference(backward_demodulation,[],[f1336,f1919]) ).
tff(f1336,plain,
( $less(sK8,n)
| ~ spl45_139 ),
inference(avatar_component_clause,[],[f1335]) ).
tff(f1943,plain,
( ~ spl45_165
| spl45_21
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1922,f1543,f909,f865,f684,f423,f410,f374,f350,f1941]) ).
tff(f350,plain,
( spl45_21
<=> $less(sK8,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_21])]) ).
tff(f1922,plain,
( ~ $less(-1,sF35)
| spl45_21
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(backward_demodulation,[],[f351,f1919]) ).
tff(f351,plain,
( ~ $less(sK8,sF35)
| spl45_21 ),
inference(avatar_component_clause,[],[f350]) ).
tff(f1939,plain,
( spl45_164
| ~ spl45_19
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1921,f1543,f909,f865,f684,f423,f410,f374,f341,f1937]) ).
tff(f1937,plain,
( spl45_164
<=> ( sF37 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_164])]) ).
tff(f341,plain,
( spl45_19
<=> ( sK8 = sF37 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_19])]) ).
tff(f1921,plain,
( ( sF37 = -1 )
| ~ spl45_19
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(backward_demodulation,[],[f342,f1919]) ).
tff(f342,plain,
( ( sK8 = sF37 )
| ~ spl45_19 ),
inference(avatar_component_clause,[],[f341]) ).
tff(f1935,plain,
( spl45_163
| ~ spl45_2
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1920,f1543,f909,f865,f684,f423,f410,f374,f273,f1933]) ).
tff(f273,plain,
( spl45_2
<=> $less(sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_2])]) ).
tff(f1920,plain,
( $less(-1,sK9)
| ~ spl45_2
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(backward_demodulation,[],[f274,f1919]) ).
tff(f274,plain,
( $less(sK8,sK9)
| ~ spl45_2 ),
inference(avatar_component_clause,[],[f273]) ).
tff(f1931,plain,
( spl45_162
| ~ spl45_26
| ~ spl45_34
| ~ spl45_37
| ~ spl45_81
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1919,f1543,f909,f865,f684,f423,f410,f374,f1929]) ).
tff(f1918,plain,
( spl45_161
| ~ spl45_26
| ~ spl45_34
| ~ spl45_110
| ~ spl45_116
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1895,f1543,f909,f865,f410,f374,f1916]) ).
tff(f1916,plain,
( spl45_161
<=> ( sF17 = sF36 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_161])]) ).
tff(f1902,plain,
( ~ spl45_53
| ~ spl45_142
| spl45_145 ),
inference(avatar_split_clause,[],[f1900,f1732,f1543,f539]) ).
tff(f539,plain,
( spl45_53
<=> $less(sK9,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_53])]) ).
tff(f1732,plain,
( spl45_145
<=> $less(sK9,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_145])]) ).
tff(f1900,plain,
( ~ $less(sK9,0)
| ~ spl45_142
| spl45_145 ),
inference(forward_demodulation,[],[f1733,f1544]) ).
tff(f1733,plain,
( ~ $less(sK9,sK5)
| spl45_145 ),
inference(avatar_component_clause,[],[f1732]) ).
tff(f1894,plain,
( spl45_160
| ~ spl45_26
| ~ spl45_34
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1888,f1543,f410,f374,f1892]) ).
tff(f1892,plain,
( spl45_160
<=> ( sF15 = sF31 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_160])]) ).
tff(f1884,plain,
( spl45_130
| ~ spl45_51
| ~ spl45_60
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1883,f1543,f877,f401,f397,f564,f512,f997]) ).
tff(f997,plain,
( spl45_130
<=> $less(sF33,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_130])]) ).
tff(f1883,plain,
( $less(sF33,sF27)
| ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1882,f402]) ).
tff(f1882,plain,
( ~ $less(0,sF23)
| $less(sF33,tb2t(sF26))
| ~ $less(sF23,sK4)
| ~ spl45_31
| ~ spl45_111
| ~ spl45_142 ),
inference(forward_demodulation,[],[f1877,f878]) ).
tff(f1877,plain,
( ~ $less(0,sF23)
| $less(sF33,tb2t(get(int,int,sF24,sF25)))
| ~ $less(sF23,sK4)
| ~ spl45_31
| ~ spl45_142 ),
inference(superposition,[],[f1845,f398]) ).
tff(f1845,plain,
( ! [X10: $int] :
( $less(sF33,tb2t(get(int,int,sF24,t2tb(X10))))
| ~ $less(X10,sK4)
| ~ $less(0,X10) )
| ~ spl45_142 ),
inference(backward_demodulation,[],[f255,f1544]) ).
tff(f255,plain,
! [X10: $int] :
( $less(sF33,tb2t(get(int,int,sF24,t2tb(X10))))
| ~ $less(sK5,X10)
| ~ $less(X10,sK4) ),
inference(definition_folding,[],[f162,f229,f242,f241,f240,f229]) ).
tff(f240,plain,
t2tb(sK5) = sF31,
introduced(function_definition,[new_symbols(definition,[sF31])]) ).
tff(f241,plain,
get(int,int,sF24,sF31) = sF32,
introduced(function_definition,[new_symbols(definition,[sF32])]) ).
tff(f242,plain,
tb2t(sF32) = sF33,
introduced(function_definition,[new_symbols(definition,[sF33])]) ).
tff(f162,plain,
! [X10: $int] :
( $less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))),tb2t(get(int,int,t2tb1(sK3),t2tb(X10))))
| ~ $less(sK5,X10)
| ~ $less(X10,sK4) ),
inference(cnf_transformation,[],[f121]) ).
tff(f1871,plain,
( ~ spl45_60
| ~ spl45_51
| spl45_157
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f1686,f877,f401,f397,f1858,f512,f564]) ).
tff(f1858,plain,
( spl45_157
<=> ( sF27 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_157])]) ).
tff(f1686,plain,
( ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ( sF27 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) )
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(forward_demodulation,[],[f1685,f402]) ).
tff(f1685,plain,
( ~ $less(sF23,sK4)
| ( tb2t(sF26) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) )
| ~ $less(0,sF23)
| ~ spl45_31
| ~ spl45_111 ),
inference(forward_demodulation,[],[f1684,f878]) ).
tff(f1684,plain,
( ~ $less(sF23,sK4)
| ( tb2t(get(int,int,sF24,sF25)) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) )
| ~ $less(0,sF23)
| ~ spl45_31 ),
inference(forward_demodulation,[],[f710,f50]) ).
tff(f710,plain,
( ~ $less(sF23,sK4)
| ( tb2t(get(int,int,sF24,sF25)) = $sum(tb2t(get(int,int,sF24,get(int,int,sF20,sF25))),1) )
| ~ $less(0,sF23)
| ~ spl45_31 ),
inference(superposition,[],[f252,f398]) ).
tff(f1870,plain,
( spl45_159
| ~ spl45_115
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1852,f1543,f905,f1868]) ).
tff(f1868,plain,
( spl45_159
<=> path(sF33,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_159])]) ).
tff(f905,plain,
( spl45_115
<=> path(sF33,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_115])]) ).
tff(f1852,plain,
( path(sF33,0)
| ~ spl45_115
| ~ spl45_142 ),
inference(backward_demodulation,[],[f906,f1544]) ).
tff(f906,plain,
( path(sF33,sK5)
| ~ spl45_115 ),
inference(avatar_component_clause,[],[f905]) ).
tff(f1864,plain,
( ~ spl45_158
| spl45_16
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1849,f1543,f329,f1862]) ).
tff(f329,plain,
( spl45_16
<=> $less(sK5,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_16])]) ).
tff(f1849,plain,
( ~ $less(0,sF35)
| spl45_16
| ~ spl45_142 ),
inference(backward_demodulation,[],[f330,f1544]) ).
tff(f330,plain,
( ~ $less(sK5,sF35)
| spl45_16 ),
inference(avatar_component_clause,[],[f329]) ).
tff(f1860,plain,
( ~ spl45_60
| ~ spl45_51
| spl45_157
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f1643,f877,f401,f397,f1858,f512,f564]) ).
tff(f1643,plain,
( ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ( sF27 = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) )
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(forward_demodulation,[],[f1642,f402]) ).
tff(f1642,plain,
( ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| ( tb2t(sF26) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) )
| ~ spl45_31
| ~ spl45_111 ),
inference(forward_demodulation,[],[f811,f878]) ).
tff(f811,plain,
( ~ $less(sF23,sK4)
| ( tb2t(get(int,int,sF24,sF25)) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF25)))) )
| ~ $less(0,sF23)
| ~ spl45_31 ),
inference(superposition,[],[f785,f398]) ).
tff(f1856,plain,
( spl45_42
| ~ spl45_5
| ~ spl45_142 ),
inference(avatar_split_clause,[],[f1848,f1543,f285,f451]) ).
tff(f285,plain,
( spl45_5
<=> $less(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_5])]) ).
tff(f1848,plain,
( $less(0,sK4)
| ~ spl45_5
| ~ spl45_142 ),
inference(backward_demodulation,[],[f286,f1544]) ).
tff(f286,plain,
( $less(sK5,sK4)
| ~ spl45_5 ),
inference(avatar_component_clause,[],[f285]) ).
tff(f1842,plain,
( ~ spl45_144
| ~ spl45_51
| spl45_130
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f1819,f877,f401,f397,f997,f512,f1727]) ).
tff(f1727,plain,
( spl45_144
<=> $less(sK5,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_144])]) ).
tff(f1819,plain,
( $less(sF33,sF27)
| ~ $less(sF23,sK4)
| ~ $less(sK5,sF23)
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(forward_demodulation,[],[f1818,f402]) ).
tff(f1818,plain,
( $less(sF33,tb2t(sF26))
| ~ $less(sF23,sK4)
| ~ $less(sK5,sF23)
| ~ spl45_31
| ~ spl45_111 ),
inference(forward_demodulation,[],[f1786,f878]) ).
tff(f1786,plain,
( ~ $less(sF23,sK4)
| ~ $less(sK5,sF23)
| $less(sF33,tb2t(get(int,int,sF24,sF25)))
| ~ spl45_31 ),
inference(superposition,[],[f255,f398]) ).
tff(f1840,plain,
( ~ spl45_51
| ~ spl45_144
| spl45_130
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f1580,f877,f401,f397,f997,f1727,f512]) ).
tff(f1580,plain,
( $less(sF33,sF27)
| ~ $less(sF23,sK4)
| ~ $less(sK5,sF23)
| ~ spl45_31
| ~ spl45_32
| ~ spl45_111 ),
inference(forward_demodulation,[],[f1579,f402]) ).
tff(f1579,plain,
( $less(sF33,tb2t(sF26))
| ~ $less(sF23,sK4)
| ~ $less(sK5,sF23)
| ~ spl45_31
| ~ spl45_111 ),
inference(forward_demodulation,[],[f471,f878]) ).
tff(f471,plain,
( ~ $less(sK5,sF23)
| ~ $less(sF23,sK4)
| $less(sF33,tb2t(get(int,int,sF24,sF25)))
| ~ spl45_31 ),
inference(superposition,[],[f255,f398]) ).
tff(f1835,plain,
( spl45_125
| ~ spl45_41
| ~ spl45_52
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f1828,f962,f536,f439,f978]) ).
tff(f536,plain,
( spl45_52
<=> path(tb2t(get(int,int,sF24,sF42)),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_52])]) ).
tff(f1828,plain,
( path(sF44,sK9)
| ~ spl45_41
| ~ spl45_52
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1827,f440]) ).
tff(f1827,plain,
( path(tb2t(sF43),sK9)
| ~ spl45_52
| ~ spl45_124 ),
inference(forward_demodulation,[],[f537,f963]) ).
tff(f537,plain,
( path(tb2t(get(int,int,sF24,sF42)),sK9)
| ~ spl45_52 ),
inference(avatar_component_clause,[],[f536]) ).
tff(f1834,plain,
( spl45_106
| ~ spl45_41
| ~ spl45_54
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f1826,f962,f543,f439,f839]) ).
tff(f543,plain,
( spl45_54
<=> $less(0,tb2t(get(int,int,sF24,sF42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_54])]) ).
tff(f1826,plain,
( $less(0,sF44)
| ~ spl45_41
| ~ spl45_54
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1825,f440]) ).
tff(f1825,plain,
( $less(0,tb2t(sF43))
| ~ spl45_54
| ~ spl45_124 ),
inference(forward_demodulation,[],[f544,f963]) ).
tff(f544,plain,
( $less(0,tb2t(get(int,int,sF24,sF42)))
| ~ spl45_54 ),
inference(avatar_component_clause,[],[f543]) ).
tff(f1833,plain,
( spl45_126
| ~ spl45_41
| ~ spl45_56
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f1824,f962,f550,f439,f982]) ).
tff(f982,plain,
( spl45_126
<=> $less(sF33,sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_126])]) ).
tff(f550,plain,
( spl45_56
<=> $less(sF33,tb2t(get(int,int,sF24,sF42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_56])]) ).
tff(f1824,plain,
( $less(sF33,sF44)
| ~ spl45_41
| ~ spl45_56
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1823,f440]) ).
tff(f1823,plain,
( $less(sF33,tb2t(sF43))
| ~ spl45_56
| ~ spl45_124 ),
inference(forward_demodulation,[],[f551,f963]) ).
tff(f551,plain,
( $less(sF33,tb2t(get(int,int,sF24,sF42)))
| ~ spl45_56 ),
inference(avatar_component_clause,[],[f550]) ).
tff(f1817,plain,
( spl45_3
| ~ spl45_53
| spl45_57
| spl45_145 ),
inference(avatar_contradiction_clause,[],[f1816]) ).
tff(f1816,plain,
( $false
| spl45_3
| ~ spl45_53
| spl45_57
| spl45_145 ),
inference(subsumption_resolution,[],[f1803,f278]) ).
tff(f278,plain,
( ~ $less(sK5,0)
| spl45_3 ),
inference(avatar_component_clause,[],[f277]) ).
tff(f277,plain,
( spl45_3
<=> $less(sK5,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_3])]) ).
tff(f1803,plain,
( $less(sK5,0)
| ~ spl45_53
| spl45_57
| spl45_145 ),
inference(backward_demodulation,[],[f540,f1776]) ).
tff(f1776,plain,
( ( sK5 = sK9 )
| spl45_57
| spl45_145 ),
inference(subsumption_resolution,[],[f1775,f554]) ).
tff(f554,plain,
( ~ $less(sK5,sK9)
| spl45_57 ),
inference(avatar_component_clause,[],[f553]) ).
tff(f553,plain,
( spl45_57
<=> $less(sK5,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_57])]) ).
tff(f1775,plain,
( $less(sK5,sK9)
| ( sK5 = sK9 )
| spl45_145 ),
inference(resolution,[],[f1733,f57]) ).
tff(f540,plain,
( $less(sK9,0)
| ~ spl45_53 ),
inference(avatar_component_clause,[],[f539]) ).
tff(f1815,plain,
( spl45_156
| spl45_57
| spl45_145 ),
inference(avatar_split_clause,[],[f1776,f1732,f553,f1813]) ).
tff(f1813,plain,
( spl45_156
<=> ( sK5 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_156])]) ).
tff(f1798,plain,
( ~ spl45_47
| spl45_155
| ~ spl45_5
| ~ spl45_34
| ~ spl45_116 ),
inference(avatar_split_clause,[],[f1676,f909,f410,f285,f1796,f490]) ).
tff(f490,plain,
( spl45_47
<=> $less(0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_47])]) ).
tff(f1796,plain,
( spl45_155
<=> $less(tb2t(get(int,int,sF20,sF36)),f(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_155])]) ).
tff(f1676,plain,
( ~ $less(0,sK5)
| $less(tb2t(get(int,int,sF20,sF36)),f(sK5))
| ~ spl45_5
| ~ spl45_34
| ~ spl45_116 ),
inference(forward_demodulation,[],[f482,f910]) ).
tff(f482,plain,
( $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF31))),f(sK5))
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_34 ),
inference(subsumption_resolution,[],[f474,f286]) ).
tff(f474,plain,
( $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF31))),f(sK5))
| ~ $less(sK5,sK4)
| ~ $less(0,sK5)
| ~ spl45_34 ),
inference(superposition,[],[f250,f411]) ).
tff(f250,plain,
! [X6: $int] :
( $less(tb2t(get(int,int,sF20,get(int,int,sF20,t2tb(X6)))),f(X6))
| ~ $less(X6,sK4)
| ~ $less(0,X6) ),
inference(definition_folding,[],[f167,f224,f224]) ).
tff(f167,plain,
! [X6: $int] :
( ~ $less(0,X6)
| $less(tb2t(get(int,int,t2tb1(sK2),get(int,int,t2tb1(sK2),t2tb(X6)))),f(X6))
| ~ $less(X6,sK4) ),
inference(cnf_transformation,[],[f121]) ).
tff(f1793,plain,
( ~ spl45_47
| spl45_150
| ~ spl45_5
| ~ spl45_34
| ~ spl45_35
| ~ spl45_39
| ~ spl45_113
| ~ spl45_116
| ~ spl45_123 ),
inference(avatar_split_clause,[],[f1792,f945,f909,f896,f431,f414,f410,f285,f1760,f490]) ).
tff(f1760,plain,
( spl45_150
<=> ( sF33 = $sum(1,sF41) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_150])]) ).
tff(f1792,plain,
( ( sF33 = $sum(1,sF41) )
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_34
| ~ spl45_35
| ~ spl45_39
| ~ spl45_113
| ~ spl45_116
| ~ spl45_123 ),
inference(subsumption_resolution,[],[f1612,f286]) ).
tff(f1612,plain,
( ( sF33 = $sum(1,sF41) )
| ~ $less(0,sK5)
| ~ $less(sK5,sK4)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_39
| ~ spl45_113
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1611,f415]) ).
tff(f1611,plain,
( ~ $less(0,sK5)
| ~ $less(sK5,sK4)
| ( tb2t(sF32) = $sum(1,sF41) )
| ~ spl45_34
| ~ spl45_39
| ~ spl45_113
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1610,f897]) ).
tff(f1610,plain,
( ( tb2t(get(int,int,sF24,sF31)) = $sum(1,sF41) )
| ~ $less(0,sK5)
| ~ $less(sK5,sK4)
| ~ spl45_34
| ~ spl45_39
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1609,f432]) ).
tff(f1609,plain,
( ( tb2t(get(int,int,sF24,sF31)) = $sum(1,tb2t(sF40)) )
| ~ $less(sK5,sK4)
| ~ $less(0,sK5)
| ~ spl45_34
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1608,f946]) ).
tff(f1608,plain,
( ~ $less(0,sK5)
| ~ $less(sK5,sK4)
| ( tb2t(get(int,int,sF24,sF31)) = $sum(1,tb2t(get(int,int,sF24,sF36))) )
| ~ spl45_34
| ~ spl45_116 ),
inference(forward_demodulation,[],[f1607,f910]) ).
tff(f1607,plain,
( ( tb2t(get(int,int,sF24,sF31)) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF31)))) )
| ~ $less(0,sK5)
| ~ $less(sK5,sK4)
| ~ spl45_34 ),
inference(forward_demodulation,[],[f707,f50]) ).
tff(f707,plain,
( ( tb2t(get(int,int,sF24,sF31)) = $sum(tb2t(get(int,int,sF24,get(int,int,sF20,sF31))),1) )
| ~ $less(sK5,sK4)
| ~ $less(0,sK5)
| ~ spl45_34 ),
inference(superposition,[],[f252,f411]) ).
tff(f1780,plain,
( spl45_154
| ~ spl45_8
| ~ spl45_95 ),
inference(avatar_split_clause,[],[f1735,f760,f297,f1778]) ).
tff(f1778,plain,
( spl45_154
<=> $less(sF41,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_154])]) ).
tff(f1735,plain,
( $less(sF41,n)
| ~ spl45_8
| ~ spl45_95 ),
inference(resolution,[],[f761,f1260]) ).
tff(f761,plain,
( $less(sF41,0)
| ~ spl45_95 ),
inference(avatar_component_clause,[],[f760]) ).
tff(f1774,plain,
( ~ spl45_153
| ~ spl45_47
| ~ spl45_5
| ~ spl45_37
| ~ spl45_107
| ~ spl45_116 ),
inference(avatar_split_clause,[],[f1672,f909,f851,f423,f285,f490,f1772]) ).
tff(f1772,plain,
( spl45_153
<=> $less(sK8,f(tb2t(sF31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_153])]) ).
tff(f851,plain,
( spl45_107
<=> ( sK5 = tb2t(sF31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_107])]) ).
tff(f1672,plain,
( ~ $less(0,sK5)
| ~ $less(sK8,f(tb2t(sF31)))
| ~ spl45_5
| ~ spl45_37
| ~ spl45_107
| ~ spl45_116 ),
inference(forward_demodulation,[],[f1035,f424]) ).
tff(f1035,plain,
( ~ $less(tb2t(sF36),f(tb2t(sF31)))
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_107
| ~ spl45_116 ),
inference(forward_demodulation,[],[f1034,f852]) ).
tff(f852,plain,
( ( sK5 = tb2t(sF31) )
| ~ spl45_107 ),
inference(avatar_component_clause,[],[f851]) ).
tff(f1034,plain,
( ~ $less(0,tb2t(sF31))
| ~ $less(tb2t(sF36),f(tb2t(sF31)))
| ~ spl45_5
| ~ spl45_107
| ~ spl45_116 ),
inference(subsumption_resolution,[],[f1033,f286]) ).
tff(f1033,plain,
( ~ $less(0,tb2t(sF31))
| ~ $less(sK5,sK4)
| ~ $less(tb2t(sF36),f(tb2t(sF31)))
| ~ spl45_107
| ~ spl45_116 ),
inference(forward_demodulation,[],[f1028,f852]) ).
tff(f1028,plain,
( ~ $less(tb2t(sF31),sK4)
| ~ $less(tb2t(sF36),f(tb2t(sF31)))
| ~ $less(0,tb2t(sF31))
| ~ spl45_116 ),
inference(superposition,[],[f588,f910]) ).
tff(f588,plain,
! [X0: uni] :
( ~ $less(tb2t(get(int,int,sF20,X0)),f(tb2t(X0)))
| ~ $less(tb2t(X0),sK4)
| ~ $less(0,tb2t(X0)) ),
inference(superposition,[],[f251,f144]) ).
tff(f251,plain,
! [X6: $int] :
( ~ $less(tb2t(get(int,int,sF20,t2tb(X6))),f(X6))
| ~ $less(X6,sK4)
| ~ $less(0,X6) ),
inference(definition_folding,[],[f166,f224]) ).
tff(f166,plain,
! [X6: $int] :
( ~ $less(0,X6)
| ~ $less(tb2t(get(int,int,t2tb1(sK2),t2tb(X6))),f(X6))
| ~ $less(X6,sK4) ),
inference(cnf_transformation,[],[f121]) ).
tff(f1770,plain,
( ~ spl45_152
| ~ spl45_75
| ~ spl45_140 ),
inference(avatar_split_clause,[],[f1724,f1378,f657,f1768]) ).
tff(f1768,plain,
( spl45_152
<=> $less(n,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_152])]) ).
tff(f1378,plain,
( spl45_140
<=> $less(sK6,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_140])]) ).
tff(f1724,plain,
( ~ $less(n,sK7)
| ~ spl45_75
| ~ spl45_140 ),
inference(resolution,[],[f1379,f1168]) ).
tff(f1379,plain,
( $less(sK6,n)
| ~ spl45_140 ),
inference(avatar_component_clause,[],[f1378]) ).
tff(f1766,plain,
( spl45_151
| ~ spl45_8
| ~ spl45_96 ),
inference(avatar_split_clause,[],[f1332,f764,f297,f1764]) ).
tff(f1764,plain,
( spl45_151
<=> $less(sF44,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_151])]) ).
tff(f764,plain,
( spl45_96
<=> $less(sF44,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_96])]) ).
tff(f1332,plain,
( $less(sF44,n)
| ~ spl45_8
| ~ spl45_96 ),
inference(resolution,[],[f1260,f765]) ).
tff(f765,plain,
( $less(sF44,0)
| ~ spl45_96 ),
inference(avatar_component_clause,[],[f764]) ).
tff(f1762,plain,
( ~ spl45_47
| spl45_150
| ~ spl45_5
| ~ spl45_34
| ~ spl45_35
| ~ spl45_39
| ~ spl45_113
| ~ spl45_116
| ~ spl45_123 ),
inference(avatar_split_clause,[],[f1758,f945,f909,f896,f431,f414,f410,f285,f1760,f490]) ).
tff(f1758,plain,
( ( sF33 = $sum(1,sF41) )
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_34
| ~ spl45_35
| ~ spl45_39
| ~ spl45_113
| ~ spl45_116
| ~ spl45_123 ),
inference(subsumption_resolution,[],[f1602,f286]) ).
tff(f1602,plain,
( ~ $less(0,sK5)
| ( sF33 = $sum(1,sF41) )
| ~ $less(sK5,sK4)
| ~ spl45_34
| ~ spl45_35
| ~ spl45_39
| ~ spl45_113
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1601,f415]) ).
tff(f1601,plain,
( ~ $less(sK5,sK4)
| ( tb2t(sF32) = $sum(1,sF41) )
| ~ $less(0,sK5)
| ~ spl45_34
| ~ spl45_39
| ~ spl45_113
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1600,f897]) ).
tff(f1600,plain,
( ~ $less(sK5,sK4)
| ( tb2t(get(int,int,sF24,sF31)) = $sum(1,sF41) )
| ~ $less(0,sK5)
| ~ spl45_34
| ~ spl45_39
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1599,f432]) ).
tff(f1599,plain,
( ~ $less(0,sK5)
| ( tb2t(get(int,int,sF24,sF31)) = $sum(1,tb2t(sF40)) )
| ~ $less(sK5,sK4)
| ~ spl45_34
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1598,f946]) ).
tff(f1598,plain,
( ~ $less(sK5,sK4)
| ~ $less(0,sK5)
| ( tb2t(get(int,int,sF24,sF31)) = $sum(1,tb2t(get(int,int,sF24,sF36))) )
| ~ spl45_34
| ~ spl45_116 ),
inference(forward_demodulation,[],[f808,f910]) ).
tff(f808,plain,
( ( tb2t(get(int,int,sF24,sF31)) = $sum(1,tb2t(get(int,int,sF24,get(int,int,sF20,sF31)))) )
| ~ $less(sK5,sK4)
| ~ $less(0,sK5)
| ~ spl45_34 ),
inference(superposition,[],[f785,f411]) ).
tff(f1752,plain,
( ~ spl45_148
| spl45_149
| ~ spl45_67
| ~ spl45_38
| ~ spl45_39
| ~ spl45_63
| ~ spl45_123 ),
inference(avatar_split_clause,[],[f1629,f945,f612,f431,f427,f626,f1750,f1747]) ).
tff(f1747,plain,
( spl45_148
<=> $less(sK5,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_148])]) ).
tff(f1750,plain,
( spl45_149
<=> $less(sF33,sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_149])]) ).
tff(f626,plain,
( spl45_67
<=> $less(sK8,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_67])]) ).
tff(f427,plain,
( spl45_38
<=> ( t2tb(sK8) = sF39 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_38])]) ).
tff(f1629,plain,
( ~ $less(sK8,sK4)
| ~ $less(sK5,sK8)
| $less(sF33,sF41)
| ~ spl45_38
| ~ spl45_39
| ~ spl45_63
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1628,f432]) ).
tff(f1628,plain,
( ~ $less(sK8,sK4)
| $less(sF33,tb2t(sF40))
| ~ $less(sK5,sK8)
| ~ spl45_38
| ~ spl45_63
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1627,f946]) ).
tff(f1627,plain,
( $less(sF33,tb2t(get(int,int,sF24,sF36)))
| ~ $less(sK5,sK8)
| ~ $less(sK8,sK4)
| ~ spl45_38
| ~ spl45_63 ),
inference(forward_demodulation,[],[f504,f613]) ).
tff(f504,plain,
( $less(sF33,tb2t(get(int,int,sF24,sF39)))
| ~ $less(sK5,sK8)
| ~ $less(sK8,sK4)
| ~ spl45_38 ),
inference(superposition,[],[f255,f428]) ).
tff(f428,plain,
( ( t2tb(sK8) = sF39 )
| ~ spl45_38 ),
inference(avatar_component_clause,[],[f427]) ).
tff(f1744,plain,
( spl45_147
| ~ spl45_8
| ~ spl45_53 ),
inference(avatar_split_clause,[],[f1714,f539,f297,f1742]) ).
tff(f1742,plain,
( spl45_147
<=> $less(sK9,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_147])]) ).
tff(f1714,plain,
( $less(sK9,n)
| ~ spl45_8
| ~ spl45_53 ),
inference(resolution,[],[f540,f1260]) ).
tff(f1740,plain,
( ~ spl45_146
| ~ spl45_47
| ~ spl45_5
| ~ spl45_34
| ~ spl45_37
| ~ spl45_116 ),
inference(avatar_split_clause,[],[f1674,f909,f423,f410,f285,f490,f1738]) ).
tff(f1674,plain,
( ~ $less(sK8,f(sK5))
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_34
| ~ spl45_37
| ~ spl45_116 ),
inference(forward_demodulation,[],[f1673,f424]) ).
tff(f1673,plain,
( ~ $less(tb2t(sF36),f(sK5))
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_34
| ~ spl45_116 ),
inference(forward_demodulation,[],[f483,f910]) ).
tff(f483,plain,
( ~ $less(tb2t(get(int,int,sF20,sF31)),f(sK5))
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_34 ),
inference(subsumption_resolution,[],[f475,f286]) ).
tff(f475,plain,
( ~ $less(0,sK5)
| ~ $less(sK5,sK4)
| ~ $less(tb2t(get(int,int,sF20,sF31)),f(sK5))
| ~ spl45_34 ),
inference(superposition,[],[f251,f411]) ).
tff(f1734,plain,
( ~ spl45_145
| ~ spl45_47
| ~ spl45_2
| ~ spl45_5
| spl45_20
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(avatar_split_clause,[],[f1606,f962,f945,f909,f851,f439,f435,f431,f423,f345,f285,f273,f490,f1732]) ).
tff(f1606,plain,
( ~ $less(0,sK5)
| ~ $less(sK9,sK5)
| ~ spl45_2
| ~ spl45_5
| spl45_20
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(subsumption_resolution,[],[f1605,f346]) ).
tff(f1605,plain,
( ~ $less(sK9,sK5)
| $less(sF41,sF44)
| ~ $less(0,sK5)
| ~ spl45_2
| ~ spl45_5
| ~ spl45_37
| ~ spl45_39
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1604,f432]) ).
tff(f1604,plain,
( $less(tb2t(sF40),sF44)
| ~ $less(0,sK5)
| ~ $less(sK9,sK5)
| ~ spl45_2
| ~ spl45_5
| ~ spl45_37
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(subsumption_resolution,[],[f1603,f274]) ).
tff(f1603,plain,
( ~ $less(sK8,sK9)
| ~ $less(0,sK5)
| ~ $less(sK9,sK5)
| $less(tb2t(sF40),sF44)
| ~ spl45_5
| ~ spl45_37
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1195,f424]) ).
tff(f1195,plain,
( ~ $less(tb2t(sF36),sK9)
| ~ $less(0,sK5)
| ~ $less(sK9,sK5)
| $less(tb2t(sF40),sF44)
| ~ spl45_5
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1194,f852]) ).
tff(f1194,plain,
( ~ $less(sK9,sK5)
| ~ $less(0,tb2t(sF31))
| ~ $less(tb2t(sF36),sK9)
| $less(tb2t(sF40),sF44)
| ~ spl45_5
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(subsumption_resolution,[],[f1193,f286]) ).
tff(f1193,plain,
( ~ $less(sK5,sK4)
| ~ $less(0,tb2t(sF31))
| ~ $less(tb2t(sF36),sK9)
| ~ $less(sK9,sK5)
| $less(tb2t(sF40),sF44)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1192,f852]) ).
tff(f1192,plain,
( ~ $less(tb2t(sF31),sK4)
| ~ $less(tb2t(sF36),sK9)
| ~ $less(sK9,sK5)
| $less(tb2t(sF40),sF44)
| ~ $less(0,tb2t(sF31))
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_123
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1191,f946]) ).
tff(f1191,plain,
( $less(tb2t(get(int,int,sF24,sF36)),sF44)
| ~ $less(tb2t(sF36),sK9)
| ~ $less(0,tb2t(sF31))
| ~ $less(tb2t(sF31),sK4)
| ~ $less(sK9,sK5)
| ~ spl45_40
| ~ spl45_41
| ~ spl45_107
| ~ spl45_116
| ~ spl45_124 ),
inference(forward_demodulation,[],[f1188,f852]) ).
tff(f1188,plain,
( ~ $less(sK9,tb2t(sF31))
| ~ $less(tb2t(sF31),sK4)
| $less(tb2t(get(int,int,sF24,sF36)),sF44)
| ~ $less(tb2t(sF36),sK9)
| ~ $less(0,tb2t(sF31))
| ~ spl45_40
| ~ spl45_41
| ~ spl45_116
| ~ spl45_124 ),
inference(superposition,[],[f1144,f910]) ).
tff(f1144,plain,
( ! [X0: uni] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,X0))),sF44)
| ~ $less(tb2t(X0),sK4)
| ~ $less(sK9,tb2t(X0))
| ~ $less(0,tb2t(X0))
| ~ $less(tb2t(get(int,int,sF20,X0)),sK9) )
| ~ spl45_40
| ~ spl45_41
| ~ spl45_124 ),
inference(superposition,[],[f1078,f144]) ).
tff(f1730,plain,
( ~ spl45_47
| spl45_95
| ~ spl45_5
| ~ spl45_26
| ~ spl45_37
| ~ spl45_39
| ~ spl45_65
| ~ spl45_79
| ~ spl45_107
| ~ spl45_112
| ~ spl45_116
| ~ spl45_123 ),
inference(avatar_split_clause,[],[f1576,f945,f909,f883,f851,f674,f620,f431,f423,f374,f285,f760,f490]) ).
tff(f620,plain,
( spl45_65
<=> $less(sK8,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_65])]) ).
tff(f1576,plain,
( $less(sF41,0)
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_26
| ~ spl45_37
| ~ spl45_39
| ~ spl45_65
| ~ spl45_79
| ~ spl45_107
| ~ spl45_112
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1123,f432]) ).
tff(f1123,plain,
( ~ $less(0,sK5)
| $less(tb2t(sF40),0)
| ~ spl45_5
| ~ spl45_26
| ~ spl45_37
| ~ spl45_65
| ~ spl45_79
| ~ spl45_107
| ~ spl45_112
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1122,f852]) ).
tff(f1122,plain,
( ~ $less(0,tb2t(sF31))
| $less(tb2t(sF40),0)
| ~ spl45_5
| ~ spl45_26
| ~ spl45_37
| ~ spl45_65
| ~ spl45_79
| ~ spl45_107
| ~ spl45_112
| ~ spl45_116
| ~ spl45_123 ),
inference(subsumption_resolution,[],[f1121,f286]) ).
tff(f1121,plain,
( ~ $less(0,tb2t(sF31))
| $less(tb2t(sF40),0)
| ~ $less(sK5,sK4)
| ~ spl45_26
| ~ spl45_37
| ~ spl45_65
| ~ spl45_79
| ~ spl45_107
| ~ spl45_112
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1120,f852]) ).
tff(f1120,plain,
( ~ $less(tb2t(sF31),sK4)
| ~ $less(0,tb2t(sF31))
| $less(tb2t(sF40),0)
| ~ spl45_26
| ~ spl45_37
| ~ spl45_65
| ~ spl45_79
| ~ spl45_112
| ~ spl45_116
| ~ spl45_123 ),
inference(forward_demodulation,[],[f1119,f946]) ).
tff(f1119,plain,
( $less(tb2t(get(int,int,sF24,sF36)),0)
| ~ $less(0,tb2t(sF31))
| ~ $less(tb2t(sF31),sK4)
| ~ spl45_26
| ~ spl45_37
| ~ spl45_65
| ~ spl45_79
| ~ spl45_112
| ~ spl45_116 ),
inference(subsumption_resolution,[],[f1118,f621]) ).
tff(f621,plain,
( $less(sK8,0)
| ~ spl45_65 ),
inference(avatar_component_clause,[],[f620]) ).
tff(f1118,plain,
( ~ $less(0,tb2t(sF31))
| ~ $less(sK8,0)
| $less(tb2t(get(int,int,sF24,sF36)),0)
| ~ $less(tb2t(sF31),sK4)
| ~ spl45_26
| ~ spl45_37
| ~ spl45_79
| ~ spl45_112
| ~ spl45_116 ),
inference(forward_demodulation,[],[f1116,f424]) ).
tff(f1116,plain,
( ~ $less(tb2t(sF36),0)
| ~ $less(tb2t(sF31),sK4)
| $less(tb2t(get(int,int,sF24,sF36)),0)
| ~ $less(0,tb2t(sF31))
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112
| ~ spl45_116 ),
inference(superposition,[],[f1106,f910]) ).
tff(f1106,plain,
( ! [X0: uni] :
( $less(tb2t(get(int,int,sF24,get(int,int,sF20,X0))),0)
| ~ $less(0,tb2t(X0))
| ~ $less(tb2t(X0),sK4)
| ~ $less(tb2t(get(int,int,sF20,X0)),0) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(superposition,[],[f1080,f144]) ).
tff(f1729,plain,
( ~ spl45_144
| ~ spl45_109
| spl45_129 ),
inference(avatar_split_clause,[],[f1630,f994,f860,f1727]) ).
tff(f860,plain,
( spl45_109
<=> ( sF23 = tb2t(sF25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_109])]) ).
tff(f994,plain,
( spl45_129
<=> $less(sK5,tb2t(sF25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_129])]) ).
tff(f1630,plain,
( ~ $less(sK5,sF23)
| ~ spl45_109
| spl45_129 ),
inference(forward_demodulation,[],[f995,f861]) ).
tff(f861,plain,
( ( sF23 = tb2t(sF25) )
| ~ spl45_109 ),
inference(avatar_component_clause,[],[f860]) ).
tff(f995,plain,
( ~ $less(sK5,tb2t(sF25))
| spl45_129 ),
inference(avatar_component_clause,[],[f994]) ).
tff(f1717,plain,
( spl45_104
| ~ spl45_47
| ~ spl45_5
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113 ),
inference(avatar_split_clause,[],[f1553,f896,f414,f410,f285,f490,f832]) ).
tff(f832,plain,
( spl45_104
<=> $less(0,sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_104])]) ).
tff(f1553,plain,
( ~ $less(0,sK5)
| $less(0,sF33)
| ~ spl45_5
| ~ spl45_34
| ~ spl45_35
| ~ spl45_113 ),
inference(forward_demodulation,[],[f1552,f415]) ).
tff(f1552,plain,
( $less(0,tb2t(sF32))
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_34
| ~ spl45_113 ),
inference(forward_demodulation,[],[f484,f897]) ).
tff(f484,plain,
( $less(0,tb2t(get(int,int,sF24,sF31)))
| ~ $less(0,sK5)
| ~ spl45_5
| ~ spl45_34 ),
inference(subsumption_resolution,[],[f477,f286]) ).
tff(f477,plain,
( $less(0,tb2t(get(int,int,sF24,sF31)))
| ~ $less(0,sK5)
| ~ $less(sK5,sK4)
| ~ spl45_34 ),
inference(superposition,[],[f254,f411]) ).
tff(f1712,plain,
( spl45_143
| ~ spl45_37
| ~ spl45_48
| ~ spl45_116 ),
inference(avatar_split_clause,[],[f1697,f909,f493,f423,f1710]) ).
tff(f493,plain,
( spl45_48
<=> $less(tb2t(get(int,int,sF20,sF31)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_48])]) ).
tff(f1697,plain,
( $less(sK8,sK5)
| ~ spl45_37
| ~ spl45_48
| ~ spl45_116 ),
inference(forward_demodulation,[],[f1696,f424]) ).
tff(f1696,plain,
( $less(tb2t(sF36),sK5)
| ~ spl45_48
| ~ spl45_116 ),
inference(forward_demodulation,[],[f494,f910]) ).
tff(f494,plain,
( $less(tb2t(get(int,int,sF20,sF31)),sK5)
| ~ spl45_48 ),
inference(avatar_component_clause,[],[f493]) ).
tff(f1551,plain,
( spl45_3
| ~ spl45_5
| spl45_42
| spl45_47 ),
inference(avatar_contradiction_clause,[],[f1550]) ).
tff(f1550,plain,
( $false
| spl45_3
| ~ spl45_5
| spl45_42
| spl45_47 ),
inference(subsumption_resolution,[],[f1532,f452]) ).
tff(f452,plain,
( ~ $less(0,sK4)
| spl45_42 ),
inference(avatar_component_clause,[],[f451]) ).
tff(f1532,plain,
( $less(0,sK4)
| spl45_3
| ~ spl45_5
| spl45_47 ),
inference(backward_demodulation,[],[f286,f1375]) ).
tff(f1375,plain,
( ( 0 = sK5 )
| spl45_3
| spl45_47 ),
inference(subsumption_resolution,[],[f1342,f491]) ).
tff(f491,plain,
( ~ $less(0,sK5)
| spl45_47 ),
inference(avatar_component_clause,[],[f490]) ).
tff(f1342,plain,
( $less(0,sK5)
| ( 0 = sK5 )
| spl45_3 ),
inference(resolution,[],[f57,f278]) ).
tff(f1545,plain,
( spl45_142
| spl45_3
| spl45_47 ),
inference(avatar_split_clause,[],[f1375,f490,f277,f1543]) ).
tff(f1495,plain,
( spl45_141
| spl45_138
| ~ spl45_26
| ~ spl45_75
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f1311,f883,f674,f657,f374,f1323,f1493]) ).
tff(f1493,plain,
( spl45_141
<=> ! [X0: uni] :
( ~ $less(tb2t(get(int,int,sF20,X0)),0)
| ~ $less(0,tb2t(X0))
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,X0))),sK7)
| ~ $less(tb2t(X0),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_141])]) ).
tff(f1311,plain,
( ! [X0: uni] :
( ~ $less(tb2t(get(int,int,sF20,X0)),0)
| ~ $less(tb2t(X0),sK4)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,X0))),sK7)
| ~ $less(0,tb2t(X0))
| $less(sK6,0) )
| ~ spl45_26
| ~ spl45_75
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f1272,f1127]) ).
tff(f1272,plain,
( ! [X0: $int,X1: uni] :
( ~ $less(X0,tb2t(get(int,int,sF24,get(int,int,sF20,X1))))
| ~ $less(0,tb2t(X1))
| ~ $less(tb2t(X1),sK4)
| ~ $less(tb2t(get(int,int,sF20,X1)),0)
| $less(X0,0) )
| ~ spl45_26
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f56,f1106]) ).
tff(f1380,plain,
( spl45_140
| ~ spl45_8
| ~ spl45_75
| spl45_135 ),
inference(avatar_split_clause,[],[f1333,f1235,f657,f297,f1378]) ).
tff(f1333,plain,
( $less(sK6,n)
| ~ spl45_8
| ~ spl45_75
| spl45_135 ),
inference(subsumption_resolution,[],[f1329,f1249]) ).
tff(f1329,plain,
( $less(sK6,n)
| $less(0,sK7)
| ~ spl45_8
| ~ spl45_75 ),
inference(resolution,[],[f1260,f1127]) ).
tff(f1337,plain,
( spl45_139
| ~ spl45_8
| ~ spl45_65 ),
inference(avatar_split_clause,[],[f1330,f620,f297,f1335]) ).
tff(f1330,plain,
( $less(sK8,n)
| ~ spl45_8
| ~ spl45_65 ),
inference(resolution,[],[f1260,f621]) ).
tff(f1325,plain,
( spl45_137
| spl45_138
| ~ spl45_26
| ~ spl45_75
| ~ spl45_79
| ~ spl45_112 ),
inference(avatar_split_clause,[],[f1294,f883,f674,f657,f374,f1323,f1320]) ).
tff(f1294,plain,
( ! [X0: $int] :
( $less(sK6,0)
| $less(tb2t(get(int,int,sF24,get(int,int,sF20,t2tb(X0)))),sK7)
| ~ $less(0,X0)
| ~ $less(X0,sK4)
| ~ $less(tb2t(get(int,int,sF20,t2tb(X0))),0) )
| ~ spl45_26
| ~ spl45_75
| ~ spl45_79
| ~ spl45_112 ),
inference(resolution,[],[f1266,f1127]) ).
tff(f1256,plain,
spl45_136,
inference(avatar_split_clause,[],[f221,f1254]) ).
tff(f1254,plain,
( spl45_136
<=> ( set(int,int,sF16,sF15,sF17) = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_136])]) ).
tff(f221,plain,
set(int,int,sF16,sF15,sF17) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
tff(f1252,plain,
( ~ spl45_133
| ~ spl45_75
| spl45_132 ),
inference(avatar_split_clause,[],[f1248,f1224,f657,f1227]) ).
tff(f1227,plain,
( spl45_133
<=> $less(1,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_133])]) ).
tff(f1224,plain,
( spl45_132
<=> $less(0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_132])]) ).
tff(f1248,plain,
( ~ $less(1,sK7)
| ~ spl45_75
| spl45_132 ),
inference(subsumption_resolution,[],[f1242,f1225]) ).
tff(f1225,plain,
( ~ $less(0,sK6)
| spl45_132 ),
inference(avatar_component_clause,[],[f1224]) ).
tff(f1242,plain,
( $less(0,sK6)
| ~ $less(1,sK7)
| ~ spl45_75 ),
inference(superposition,[],[f1206,f52]) ).
tff(f52,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_145,[]) ).
tff(f1206,plain,
( ! [X0: $int] :
( ~ $less($sum(1,X0),sK7)
| $less(X0,sK6) )
| ~ spl45_75 ),
inference(superposition,[],[f1186,f50]) ).
tff(f1186,plain,
( ! [X0: $int] :
( ~ $less($sum(X0,1),sK7)
| $less(X0,sK6) )
| ~ spl45_75 ),
inference(resolution,[],[f1168,f59]) ).
tff(f1250,plain,
( ~ spl45_135
| ~ spl45_75
| spl45_134 ),
inference(avatar_split_clause,[],[f1247,f1232,f657,f1235]) ).
tff(f1232,plain,
( spl45_134
<=> $less(-1,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_134])]) ).
tff(f1247,plain,
( ~ $less(0,sK7)
| ~ spl45_75
| spl45_134 ),
inference(subsumption_resolution,[],[f1246,f1233]) ).
tff(f1233,plain,
( ~ $less(-1,sK6)
| spl45_134 ),
inference(avatar_component_clause,[],[f1232]) ).
tff(f1246,plain,
( ~ $less(0,sK7)
| $less(-1,sK6)
| ~ spl45_75 ),
inference(evaluation,[],[f1243]) ).
tff(f1243,plain,
( $less($uminus(1),sK6)
| ~ $less(0,sK7)
| ~ spl45_75 ),
inference(superposition,[],[f1206,f54]) ).
tff(f54,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_148,[]) ).
tff(f1237,plain,
( ~ spl45_134
| spl45_135
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f1222,f657,f1235,f1232]) ).
tff(f1222,plain,
( ~ $less(-1,sK6)
| $less(0,sK7)
| ~ spl45_75 ),
inference(evaluation,[],[f1219]) ).
tff(f1219,plain,
( ~ $less($uminus(1),sK6)
| $less(0,sK7)
| ~ spl45_75 ),
inference(superposition,[],[f1202,f54]) ).
tff(f1202,plain,
( ! [X0: $int] :
( $less($sum(1,X0),sK7)
| ~ $less(X0,sK6) )
| ~ spl45_75 ),
inference(superposition,[],[f1165,f50]) ).
tff(f1165,plain,
( ! [X0: $int] :
( $less($sum(X0,1),sK7)
| ~ $less(X0,sK6) )
| ~ spl45_75 ),
inference(resolution,[],[f67,f1127]) ).
tff(f1229,plain,
( ~ spl45_132
| spl45_133
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f1218,f657,f1227,f1224]) ).
tff(f1218,plain,
( ~ $less(0,sK6)
| $less(1,sK7)
| ~ spl45_75 ),
inference(superposition,[],[f1202,f52]) ).
tff(f1142,plain,
( spl45_131
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f1138,f657,f1140]) ).
tff(f1140,plain,
( spl45_131
<=> $less(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_131])]) ).
tff(f1138,plain,
( $less(sK6,sK7)
| ~ spl45_75 ),
inference(resolution,[],[f1127,f55]) ).
tff(f55,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_150,[]) ).
tff(f1022,plain,
( spl45_52
| spl45_53
| ~ spl45_1
| ~ spl45_108 ),
inference(avatar_split_clause,[],[f1021,f856,f269,f539,f536]) ).
tff(f856,plain,
( spl45_108
<=> ( sK9 = tb2t(sF42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_108])]) ).
tff(f1021,plain,
( path(tb2t(get(int,int,sF24,sF42)),sK9)
| $less(sK9,0)
| ~ spl45_1
| ~ spl45_108 ),
inference(subsumption_resolution,[],[f1019,f270]) ).
tff(f1019,plain,
( ~ $less(sK9,sK4)
| $less(sK9,0)
| path(tb2t(get(int,int,sF24,sF42)),sK9)
| ~ spl45_108 ),
inference(superposition,[],[f586,f857]) ).
tff(f857,plain,
( ( sK9 = tb2t(sF42) )
| ~ spl45_108 ),
inference(avatar_component_clause,[],[f856]) ).
tff(f586,plain,
! [X0: uni] :
( path(tb2t(get(int,int,sF24,X0)),tb2t(X0))
| ~ $less(tb2t(X0),sK4)
| $less(tb2t(X0),0) ),
inference(superposition,[],[f239,f144]) ).
tff(f239,plain,
! [X5: $int] :
( path(tb2t(get(int,int,sF24,t2tb(X5))),X5)
| $less(X5,0)
| ~ $less(X5,sK4) ),
inference(definition_folding,[],[f175,f229]) ).
tff(f175,plain,
! [X5: $int] :
( path(tb2t(get(int,int,t2tb1(sK3),t2tb(X5))),X5)
| $less(X5,0)
| ~ $less(X5,sK4) ),
inference(cnf_transformation,[],[f121]) ).
tff(f999,plain,
( ~ spl45_129
| ~ spl45_128
| spl45_130
| ~ spl45_32
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f973,f877,f401,f997,f990,f994]) ).
tff(f990,plain,
( spl45_128
<=> $less(tb2t(sF25),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_128])]) ).
tff(f973,plain,
( ~ $less(sK5,tb2t(sF25))
| ~ $less(tb2t(sF25),sK4)
| $less(sF33,sF27)
| ~ spl45_32
| ~ spl45_111 ),
inference(forward_demodulation,[],[f969,f402]) ).
tff(f969,plain,
( $less(sF33,tb2t(sF26))
| ~ $less(sK5,tb2t(sF25))
| ~ $less(tb2t(sF25),sK4)
| ~ spl45_111 ),
inference(superposition,[],[f591,f878]) ).
tff(f591,plain,
! [X0: uni] :
( $less(sF33,tb2t(get(int,int,sF24,X0)))
| ~ $less(tb2t(X0),sK4)
| ~ $less(sK5,tb2t(X0)) ),
inference(superposition,[],[f255,f144]) ).
tff(f992,plain,
( spl45_101
| ~ spl45_127
| ~ spl45_128
| ~ spl45_32
| ~ spl45_111 ),
inference(avatar_split_clause,[],[f972,f877,f401,f990,f987,f822]) ).
tff(f822,plain,
( spl45_101
<=> $less(0,sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_101])]) ).
tff(f987,plain,
( spl45_127
<=> $less(0,tb2t(sF25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_127])]) ).
tff(f972,plain,
( ~ $less(tb2t(sF25),sK4)
| $less(0,sF27)
| ~ $less(0,tb2t(sF25))
| ~ spl45_32
| ~ spl45_111 ),
inference(forward_demodulation,[],[f970,f402]) ).
tff(f970,plain,
( ~ $less(tb2t(sF25),sK4)
| $less(0,tb2t(sF26))
| ~ $less(0,tb2t(sF25))
| ~ spl45_111 ),
inference(superposition,[],[f590,f878]) ).
tff(f984,plain,
( spl45_126
| ~ spl45_41
| ~ spl45_56 ),
inference(avatar_split_clause,[],[f967,f550,f439,f982]) ).
tff(f967,plain,
( $less(sF33,sF44)
| ~ spl45_41
| ~ spl45_56 ),
inference(forward_demodulation,[],[f958,f440]) ).
tff(f958,plain,
( $less(sF33,tb2t(sF43))
| ~ spl45_56 ),
inference(backward_demodulation,[],[f551,f264]) ).
tff(f264,plain,
get(int,int,sF24,sF42) = sF43,
introduced(function_definition,[new_symbols(definition,[sF43])]) ).
tff(f980,plain,
( spl45_125
| ~ spl45_41
| ~ spl45_52 ),
inference(avatar_split_clause,[],[f966,f536,f439,f978]) ).
tff(f966,plain,
( path(sF44,sK9)
| ~ spl45_41
| ~ spl45_52 ),
inference(forward_demodulation,[],[f960,f440]) ).
tff(f960,plain,
( path(tb2t(sF43),sK9)
| ~ spl45_52 ),
inference(backward_demodulation,[],[f537,f264]) ).
tff(f976,plain,
( spl45_106
| ~ spl45_41
| ~ spl45_54 ),
inference(avatar_split_clause,[],[f965,f543,f439,f839]) ).
tff(f965,plain,
( $less(0,sF44)
| ~ spl45_41
| ~ spl45_54 ),
inference(forward_demodulation,[],[f959,f440]) ).
tff(f959,plain,
( $less(0,tb2t(sF43))
| ~ spl45_54 ),
inference(backward_demodulation,[],[f544,f264]) ).
tff(f964,plain,
spl45_124,
inference(avatar_split_clause,[],[f264,f962]) ).
tff(f947,plain,
( spl45_123
| ~ spl45_63 ),
inference(avatar_split_clause,[],[f943,f612,f945]) ).
tff(f943,plain,
( ( sF40 = get(int,int,sF24,sF36) )
| ~ spl45_63 ),
inference(forward_demodulation,[],[f261,f613]) ).
tff(f261,plain,
get(int,int,sF24,sF39) = sF40,
introduced(function_definition,[new_symbols(definition,[sF40])]) ).
tff(f942,plain,
( spl45_46
| spl45_3
| ~ spl45_5
| ~ spl45_107 ),
inference(avatar_split_clause,[],[f941,f851,f285,f277,f486]) ).
tff(f486,plain,
( spl45_46
<=> path(tb2t(get(int,int,sF24,sF31)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_46])]) ).
tff(f941,plain,
( path(tb2t(get(int,int,sF24,sF31)),sK5)
| spl45_3
| ~ spl45_5
| ~ spl45_107 ),
inference(subsumption_resolution,[],[f940,f286]) ).
tff(f940,plain,
( path(tb2t(get(int,int,sF24,sF31)),sK5)
| ~ $less(sK5,sK4)
| spl45_3
| ~ spl45_107 ),
inference(subsumption_resolution,[],[f938,f278]) ).
tff(f938,plain,
( $less(sK5,0)
| ~ $less(sK5,sK4)
| path(tb2t(get(int,int,sF24,sF31)),sK5)
| ~ spl45_107 ),
inference(superposition,[],[f586,f852]) ).
tff(f935,plain,
( spl45_122
| ~ spl45_30 ),
inference(avatar_split_clause,[],[f596,f393,f933]) ).
tff(f933,plain,
( spl45_122
<=> ( sK3 = tb2t1(sF24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_122])]) ).
tff(f393,plain,
( spl45_30
<=> ( t2tb1(sK3) = sF24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_30])]) ).
tff(f596,plain,
( ( sK3 = tb2t1(sF24) )
| ~ spl45_30 ),
inference(superposition,[],[f149,f394]) ).
tff(f394,plain,
( ( t2tb1(sK3) = sF24 )
| ~ spl45_30 ),
inference(avatar_component_clause,[],[f393]) ).
tff(f149,plain,
! [X0: map_int_int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(cnf_transformation,[],[f101]) ).
tff(f101,plain,
! [X0: map_int_int] : ( tb2t1(t2tb1(X0)) = X0 ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X14: map_int_int] : ( tb2t1(t2tb1(X14)) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f931,plain,
( spl45_121
| ~ spl45_28 ),
inference(avatar_split_clause,[],[f595,f384,f929]) ).
tff(f929,plain,
( spl45_121
<=> ( sK2 = tb2t1(sF20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_121])]) ).
tff(f384,plain,
( spl45_28
<=> ( t2tb1(sK2) = sF20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_28])]) ).
tff(f595,plain,
( ( sK2 = tb2t1(sF20) )
| ~ spl45_28 ),
inference(superposition,[],[f149,f385]) ).
tff(f385,plain,
( ( t2tb1(sK2) = sF20 )
| ~ spl45_28 ),
inference(avatar_component_clause,[],[f384]) ).
tff(f927,plain,
( spl45_120
| ~ spl45_41 ),
inference(avatar_split_clause,[],[f584,f439,f925]) ).
tff(f925,plain,
( spl45_120
<=> ( sF43 = t2tb(sF44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_120])]) ).
tff(f584,plain,
( ( sF43 = t2tb(sF44) )
| ~ spl45_41 ),
inference(superposition,[],[f144,f440]) ).
tff(f923,plain,
( spl45_119
| ~ spl45_39 ),
inference(avatar_split_clause,[],[f583,f431,f921]) ).
tff(f583,plain,
( ( sF40 = t2tb(sF41) )
| ~ spl45_39 ),
inference(superposition,[],[f144,f432]) ).
tff(f919,plain,
( spl45_118
| ~ spl45_35 ),
inference(avatar_split_clause,[],[f581,f414,f917]) ).
tff(f917,plain,
( spl45_118
<=> ( sF32 = t2tb(sF33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_118])]) ).
tff(f581,plain,
( ( sF32 = t2tb(sF33) )
| ~ spl45_35 ),
inference(superposition,[],[f144,f415]) ).
tff(f915,plain,
( spl45_117
| ~ spl45_32 ),
inference(avatar_split_clause,[],[f579,f401,f913]) ).
tff(f913,plain,
( spl45_117
<=> ( sF26 = t2tb(sF27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_117])]) ).
tff(f579,plain,
( ( sF26 = t2tb(sF27) )
| ~ spl45_32 ),
inference(superposition,[],[f144,f402]) ).
tff(f911,plain,
spl45_116,
inference(avatar_split_clause,[],[f247,f909]) ).
tff(f247,plain,
get(int,int,sF20,sF31) = sF36,
introduced(function_definition,[new_symbols(definition,[sF36])]) ).
tff(f907,plain,
( spl45_115
| ~ spl45_35
| ~ spl45_46 ),
inference(avatar_split_clause,[],[f899,f486,f414,f905]) ).
tff(f899,plain,
( path(sF33,sK5)
| ~ spl45_35
| ~ spl45_46 ),
inference(forward_demodulation,[],[f894,f415]) ).
tff(f894,plain,
( path(tb2t(sF32),sK5)
| ~ spl45_46 ),
inference(backward_demodulation,[],[f487,f241]) ).
tff(f487,plain,
( path(tb2t(get(int,int,sF24,sF31)),sK5)
| ~ spl45_46 ),
inference(avatar_component_clause,[],[f486]) ).
tff(f903,plain,
( spl45_114
| ~ spl45_32
| ~ spl45_49 ),
inference(avatar_split_clause,[],[f880,f506,f401,f901]) ).
tff(f901,plain,
( spl45_114
<=> path(sF27,sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_114])]) ).
tff(f506,plain,
( spl45_49
<=> path(tb2t(get(int,int,sF24,sF25)),sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_49])]) ).
tff(f880,plain,
( path(sF27,sF23)
| ~ spl45_32
| ~ spl45_49 ),
inference(forward_demodulation,[],[f875,f402]) ).
tff(f875,plain,
( path(tb2t(sF26),sF23)
| ~ spl45_49 ),
inference(backward_demodulation,[],[f507,f231]) ).
tff(f231,plain,
get(int,int,sF24,sF25) = sF26,
introduced(function_definition,[new_symbols(definition,[sF26])]) ).
tff(f507,plain,
( path(tb2t(get(int,int,sF24,sF25)),sF23)
| ~ spl45_49 ),
inference(avatar_component_clause,[],[f506]) ).
tff(f898,plain,
spl45_113,
inference(avatar_split_clause,[],[f241,f896]) ).
tff(f885,plain,
( spl45_112
| ~ spl45_78 ),
inference(avatar_split_clause,[],[f881,f670,f883]) ).
tff(f670,plain,
( spl45_78
<=> ( sF15 = sF29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_78])]) ).
tff(f881,plain,
( ( sF15 = get(int,int,sF24,sF15) )
| ~ spl45_78 ),
inference(forward_demodulation,[],[f236,f671]) ).
tff(f671,plain,
( ( sF15 = sF29 )
| ~ spl45_78 ),
inference(avatar_component_clause,[],[f670]) ).
tff(f236,plain,
get(int,int,sF24,sF15) = sF29,
introduced(function_definition,[new_symbols(definition,[sF29])]) ).
tff(f879,plain,
spl45_111,
inference(avatar_split_clause,[],[f231,f877]) ).
tff(f867,plain,
( spl45_110
| ~ spl45_80 ),
inference(avatar_split_clause,[],[f863,f680,f865]) ).
tff(f680,plain,
( spl45_80
<=> ( sF17 = sF21 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_80])]) ).
tff(f863,plain,
( ( sF17 = get(int,int,sF20,sF15) )
| ~ spl45_80 ),
inference(forward_demodulation,[],[f225,f681]) ).
tff(f681,plain,
( ( sF17 = sF21 )
| ~ spl45_80 ),
inference(avatar_component_clause,[],[f680]) ).
tff(f225,plain,
get(int,int,sF20,sF15) = sF21,
introduced(function_definition,[new_symbols(definition,[sF21])]) ).
tff(f862,plain,
( spl45_109
| ~ spl45_31 ),
inference(avatar_split_clause,[],[f571,f397,f860]) ).
tff(f571,plain,
( ( sF23 = tb2t(sF25) )
| ~ spl45_31 ),
inference(superposition,[],[f132,f398]) ).
tff(f132,plain,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
! [X0: $int] : ( tb2t(t2tb(X0)) = X0 ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X14: $int] : ( tb2t(t2tb(X14)) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f858,plain,
( spl45_108
| ~ spl45_40 ),
inference(avatar_split_clause,[],[f570,f435,f856]) ).
tff(f570,plain,
( ( sK9 = tb2t(sF42) )
| ~ spl45_40 ),
inference(superposition,[],[f132,f436]) ).
tff(f853,plain,
( spl45_107
| ~ spl45_34 ),
inference(avatar_split_clause,[],[f568,f410,f851]) ).
tff(f568,plain,
( ( sK5 = tb2t(sF31) )
| ~ spl45_34 ),
inference(superposition,[],[f132,f411]) ).
tff(f841,plain,
( ~ spl45_97
| spl45_105
| ~ spl45_106
| ~ spl45_41 ),
inference(avatar_split_clause,[],[f784,f439,f839,f836,f767]) ).
tff(f767,plain,
( spl45_97
<=> $less(sF44,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_97])]) ).
tff(f836,plain,
( spl45_105
<=> $less(tb2t(get(int,int,sF20,sF43)),sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_105])]) ).
tff(f784,plain,
( $less(tb2t(get(int,int,sF20,sF43)),sF44)
| ~ $less(sF44,sK4)
| ~ $less(0,sF44)
| ~ spl45_41 ),
inference(superposition,[],[f589,f440]) ).
tff(f589,plain,
! [X0: uni] :
( $less(tb2t(get(int,int,sF20,X0)),tb2t(X0))
| ~ $less(0,tb2t(X0))
| ~ $less(tb2t(X0),sK4) ),
inference(superposition,[],[f253,f144]) ).
tff(f253,plain,
! [X6: $int] :
( $less(tb2t(get(int,int,sF20,t2tb(X6))),X6)
| ~ $less(X6,sK4)
| ~ $less(0,X6) ),
inference(definition_folding,[],[f164,f224]) ).
tff(f164,plain,
! [X6: $int] :
( ~ $less(0,X6)
| $less(tb2t(get(int,int,t2tb1(sK2),t2tb(X6))),X6)
| ~ $less(X6,sK4) ),
inference(cnf_transformation,[],[f121]) ).
tff(f834,plain,
( ~ spl45_91
| spl45_103
| ~ spl45_104
| ~ spl45_35 ),
inference(avatar_split_clause,[],[f781,f414,f832,f829,f744]) ).
tff(f744,plain,
( spl45_91
<=> $less(sF33,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_91])]) ).
tff(f829,plain,
( spl45_103
<=> $less(tb2t(get(int,int,sF20,sF32)),sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_103])]) ).
tff(f781,plain,
( $less(tb2t(get(int,int,sF20,sF32)),sF33)
| ~ $less(0,sF33)
| ~ $less(sF33,sK4)
| ~ spl45_35 ),
inference(superposition,[],[f589,f415]) ).
tff(f827,plain,
( ~ spl45_89
| ~ spl45_101
| spl45_102
| ~ spl45_32 ),
inference(avatar_split_clause,[],[f780,f401,f825,f822,f737]) ).
tff(f737,plain,
( spl45_89
<=> $less(sF27,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_89])]) ).
tff(f825,plain,
( spl45_102
<=> $less(tb2t(get(int,int,sF20,sF26)),sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_102])]) ).
tff(f780,plain,
( ~ $less(sF27,sK4)
| ~ $less(0,sF27)
| $less(tb2t(get(int,int,sF20,sF26)),sF27)
| ~ spl45_32 ),
inference(superposition,[],[f589,f402]) ).
tff(f805,plain,
( spl45_100
| ~ spl45_75 ),
inference(avatar_split_clause,[],[f789,f657,f803]) ).
tff(f803,plain,
( spl45_100
<=> ( sK7 = $sum(1,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_100])]) ).
tff(f789,plain,
( ( sK7 = $sum(1,sK6) )
| ~ spl45_75 ),
inference(superposition,[],[f50,f658]) ).
tff(f776,plain,
spl45_99,
inference(avatar_split_clause,[],[f219,f774]) ).
tff(f774,plain,
( spl45_99
<=> ( const(int,int,sF15) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_99])]) ).
tff(f219,plain,
const(int,int,sF15) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
tff(f772,plain,
( spl45_96
| ~ spl45_97
| spl45_98
| ~ spl45_41 ),
inference(avatar_split_clause,[],[f728,f439,f770,f767,f764]) ).
tff(f770,plain,
( spl45_98
<=> path(tb2t(get(int,int,sF24,sF43)),sF44) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_98])]) ).
tff(f728,plain,
( path(tb2t(get(int,int,sF24,sF43)),sF44)
| ~ $less(sF44,sK4)
| $less(sF44,0)
| ~ spl45_41 ),
inference(superposition,[],[f586,f440]) ).
tff(f762,plain,
( ~ spl45_93
| spl45_94
| spl45_95
| ~ spl45_39 ),
inference(avatar_split_clause,[],[f727,f431,f760,f757,f754]) ).
tff(f757,plain,
( spl45_94
<=> path(tb2t(get(int,int,sF24,sF40)),sF41) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_94])]) ).
tff(f727,plain,
( ~ $less(sF41,sK4)
| $less(sF41,0)
| path(tb2t(get(int,int,sF24,sF40)),sF41)
| ~ spl45_39 ),
inference(superposition,[],[f586,f432]) ).
tff(f749,plain,
( spl45_90
| ~ spl45_91
| spl45_92
| ~ spl45_35 ),
inference(avatar_split_clause,[],[f725,f414,f747,f744,f741]) ).
tff(f741,plain,
( spl45_90
<=> $less(sF33,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_90])]) ).
tff(f747,plain,
( spl45_92
<=> path(tb2t(get(int,int,sF24,sF32)),sF33) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_92])]) ).
tff(f725,plain,
( path(tb2t(get(int,int,sF24,sF32)),sF33)
| ~ $less(sF33,sK4)
| $less(sF33,0)
| ~ spl45_35 ),
inference(superposition,[],[f586,f415]) ).
tff(f739,plain,
( spl45_87
| spl45_88
| ~ spl45_89
| ~ spl45_32 ),
inference(avatar_split_clause,[],[f724,f401,f737,f734,f731]) ).
tff(f731,plain,
( spl45_87
<=> path(tb2t(get(int,int,sF24,sF26)),sF27) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_87])]) ).
tff(f734,plain,
( spl45_88
<=> $less(sF27,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_88])]) ).
tff(f724,plain,
( $less(sF27,0)
| path(tb2t(get(int,int,sF24,sF26)),sF27)
| ~ $less(sF27,sK4)
| ~ spl45_32 ),
inference(superposition,[],[f586,f402]) ).
tff(f720,plain,
( spl45_86
| ~ spl45_61 ),
inference(avatar_split_clause,[],[f714,f575,f718]) ).
tff(f718,plain,
( spl45_86
<=> sort(map(int,int),sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_86])]) ).
tff(f575,plain,
( spl45_61
<=> ( sF18 = t2tb1(sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_61])]) ).
tff(f714,plain,
( sort(map(int,int),sF18)
| ~ spl45_61 ),
inference(superposition,[],[f131,f576]) ).
tff(f576,plain,
( ( sF18 = t2tb1(sK0) )
| ~ spl45_61 ),
inference(avatar_component_clause,[],[f575]) ).
tff(f131,plain,
! [X0: map_int_int] : sort(map(int,int),t2tb1(X0)),
inference(cnf_transformation,[],[f85]) ).
tff(f85,plain,
! [X0: map_int_int] : sort(map(int,int),t2tb1(X0)),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X1: map_int_int] : sort(map(int,int),t2tb1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f704,plain,
( spl45_85
| ~ spl45_45 ),
inference(avatar_split_clause,[],[f528,f462,f702]) ).
tff(f702,plain,
( spl45_85
<=> sort(int,sF17) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_85])]) ).
tff(f462,plain,
( spl45_45
<=> ( sF17 = t2tb(-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_45])]) ).
tff(f528,plain,
( sort(int,sF17)
| ~ spl45_45 ),
inference(superposition,[],[f147,f463]) ).
tff(f463,plain,
( ( sF17 = t2tb(-1) )
| ~ spl45_45 ),
inference(avatar_component_clause,[],[f462]) ).
tff(f147,plain,
! [X0: $int] : sort(int,t2tb(X0)),
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
! [X0: $int] : sort(int,t2tb(X0)),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X1: $int] : sort(int,t2tb(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f700,plain,
( spl45_84
| ~ spl45_40 ),
inference(avatar_split_clause,[],[f515,f435,f698]) ).
tff(f698,plain,
( spl45_84
<=> sort(int,sF42) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_84])]) ).
tff(f515,plain,
( sort(int,sF42)
| ~ spl45_40 ),
inference(superposition,[],[f147,f436]) ).
tff(f695,plain,
( spl45_83
| ~ spl45_34 ),
inference(avatar_split_clause,[],[f472,f410,f693]) ).
tff(f693,plain,
( spl45_83
<=> sort(int,sF31) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_83])]) ).
tff(f472,plain,
( sort(int,sF31)
| ~ spl45_34 ),
inference(superposition,[],[f147,f411]) ).
tff(f691,plain,
( spl45_82
| ~ spl45_31 ),
inference(avatar_split_clause,[],[f465,f397,f689]) ).
tff(f689,plain,
( spl45_82
<=> sort(int,sF25) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_82])]) ).
tff(f465,plain,
( sort(int,sF25)
| ~ spl45_31 ),
inference(superposition,[],[f147,f398]) ).
tff(f686,plain,
( spl45_81
| ~ spl45_29
| ~ spl45_45 ),
inference(avatar_split_clause,[],[f678,f462,f389,f684]) ).
tff(f389,plain,
( spl45_29
<=> ( tb2t(sF21) = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_29])]) ).
tff(f678,plain,
( ( -1 = tb2t(sF17) )
| ~ spl45_29
| ~ spl45_45 ),
inference(backward_demodulation,[],[f390,f593]) ).
tff(f593,plain,
( ( sF17 = sF21 )
| ~ spl45_29
| ~ spl45_45 ),
inference(forward_demodulation,[],[f578,f463]) ).
tff(f578,plain,
( ( sF21 = t2tb(-1) )
| ~ spl45_29 ),
inference(superposition,[],[f144,f390]) ).
tff(f390,plain,
( ( tb2t(sF21) = -1 )
| ~ spl45_29 ),
inference(avatar_component_clause,[],[f389]) ).
tff(f682,plain,
( spl45_80
| ~ spl45_29
| ~ spl45_45 ),
inference(avatar_split_clause,[],[f593,f462,f389,f680]) ).
tff(f676,plain,
( spl45_79
| ~ spl45_26
| ~ spl45_33 ),
inference(avatar_split_clause,[],[f668,f406,f374,f674]) ).
tff(f406,plain,
( spl45_33
<=> ( 0 = tb2t(sF29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_33])]) ).
tff(f668,plain,
( ( 0 = tb2t(sF15) )
| ~ spl45_26
| ~ spl45_33 ),
inference(backward_demodulation,[],[f407,f592]) ).
tff(f592,plain,
( ( sF15 = sF29 )
| ~ spl45_26
| ~ spl45_33 ),
inference(forward_demodulation,[],[f580,f375]) ).
tff(f580,plain,
( ( t2tb(0) = sF29 )
| ~ spl45_33 ),
inference(superposition,[],[f144,f407]) ).
tff(f407,plain,
( ( 0 = tb2t(sF29) )
| ~ spl45_33 ),
inference(avatar_component_clause,[],[f406]) ).
tff(f672,plain,
( spl45_78
| ~ spl45_26
| ~ spl45_33 ),
inference(avatar_split_clause,[],[f592,f406,f374,f670]) ).
tff(f667,plain,
( spl45_77
| ~ spl45_24 ),
inference(avatar_split_clause,[],[f646,f364,f665]) ).
tff(f665,plain,
( spl45_77
<=> ( sF23 = $sum(sK4,-1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_77])]) ).
tff(f364,plain,
( spl45_24
<=> ( sF13 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_24])]) ).
tff(f646,plain,
( ( sF23 = $sum(sK4,-1) )
| ~ spl45_24 ),
inference(forward_demodulation,[],[f228,f365]) ).
tff(f365,plain,
( ( sF13 = -1 )
| ~ spl45_24 ),
inference(avatar_component_clause,[],[f364]) ).
tff(f228,plain,
$sum(sK4,sF13) = sF23,
introduced(function_definition,[new_symbols(definition,[sF23])]) ).
tff(f663,plain,
( spl45_76
| ~ spl45_24 ),
inference(avatar_split_clause,[],[f597,f364,f661]) ).
tff(f597,plain,
( ( sF14 = $sum(n,-1) )
| ~ spl45_24 ),
inference(forward_demodulation,[],[f216,f365]) ).
tff(f216,plain,
$sum(n,sF13) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
tff(f659,plain,
( spl45_75
| ~ spl45_18 ),
inference(avatar_split_clause,[],[f655,f337,f657]) ).
tff(f337,plain,
( spl45_18
<=> ( sK7 = sF38 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_18])]) ).
tff(f655,plain,
( ( sK7 = $sum(sK6,1) )
| ~ spl45_18 ),
inference(forward_demodulation,[],[f256,f338]) ).
tff(f338,plain,
( ( sK7 = sF38 )
| ~ spl45_18 ),
inference(avatar_component_clause,[],[f337]) ).
tff(f256,plain,
$sum(sK6,1) = sF38,
introduced(function_definition,[new_symbols(definition,[sF38])]) ).
tff(f654,plain,
spl45_74,
inference(avatar_split_clause,[],[f243,f652]) ).
tff(f243,plain,
$sum(sK6,sF33) = sF34,
introduced(function_definition,[new_symbols(definition,[sF34])]) ).
tff(f650,plain,
spl45_73,
inference(avatar_split_clause,[],[f233,f648]) ).
tff(f233,plain,
$sum(sK1,sF27) = sF28,
introduced(function_definition,[new_symbols(definition,[sF28])]) ).
tff(f645,plain,
( ~ spl45_70
| spl45_71
| ~ spl45_72
| ~ spl45_45 ),
inference(avatar_split_clause,[],[f534,f462,f643,f640,f637]) ).
tff(f640,plain,
( spl45_71
<=> $less(sF33,tb2t(get(int,int,sF24,sF17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_71])]) ).
tff(f643,plain,
( spl45_72
<=> $less(sK5,-1) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_72])]) ).
tff(f534,plain,
( ~ $less(-1,sK4)
| $less(sF33,tb2t(get(int,int,sF24,sF17)))
| ~ $less(sK5,-1)
| ~ spl45_45 ),
inference(superposition,[],[f255,f463]) ).
tff(f635,plain,
( ~ spl45_68
| ~ spl45_67
| spl45_69
| ~ spl45_38 ),
inference(avatar_split_clause,[],[f502,f427,f633,f626,f630]) ).
tff(f630,plain,
( spl45_68
<=> $less(0,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_68])]) ).
tff(f633,plain,
( spl45_69
<=> $less(tb2t(get(int,int,sF20,sF39)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_69])]) ).
tff(f502,plain,
( $less(tb2t(get(int,int,sF20,sF39)),sK8)
| ~ $less(sK8,sK4)
| ~ $less(0,sK8)
| ~ spl45_38 ),
inference(superposition,[],[f253,f428]) ).
tff(f628,plain,
( spl45_65
| spl45_66
| ~ spl45_67
| ~ spl45_38 ),
inference(avatar_split_clause,[],[f499,f427,f626,f623,f620]) ).
tff(f623,plain,
( spl45_66
<=> path(tb2t(get(int,int,sF24,sF39)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_66])]) ).
tff(f499,plain,
( $less(sK8,0)
| ~ $less(sK8,sK4)
| path(tb2t(get(int,int,sF24,sF39)),sK8)
| ~ spl45_38 ),
inference(superposition,[],[f239,f428]) ).
tff(f618,plain,
( spl45_64
| ~ spl45_62 ),
inference(avatar_split_clause,[],[f604,f600,f616]) ).
tff(f616,plain,
( spl45_64
<=> sort(int,sF36) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_64])]) ).
tff(f604,plain,
( sort(int,sF36)
| ~ spl45_62 ),
inference(superposition,[],[f147,f601]) ).
tff(f614,plain,
( spl45_63
| ~ spl45_37
| ~ spl45_38 ),
inference(avatar_split_clause,[],[f598,f427,f423,f612]) ).
tff(f598,plain,
( ( sF36 = sF39 )
| ~ spl45_37
| ~ spl45_38 ),
inference(backward_demodulation,[],[f428,f582]) ).
tff(f582,plain,
( ( t2tb(sK8) = sF36 )
| ~ spl45_37 ),
inference(superposition,[],[f144,f424]) ).
tff(f602,plain,
( spl45_62
| ~ spl45_37 ),
inference(avatar_split_clause,[],[f582,f423,f600]) ).
tff(f577,plain,
( spl45_61
| ~ spl45_27 ),
inference(avatar_split_clause,[],[f573,f380,f575]) ).
tff(f380,plain,
( spl45_27
<=> ( sK0 = tb2t1(sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_27])]) ).
tff(f573,plain,
( ( sF18 = t2tb1(sK0) )
| ~ spl45_27 ),
inference(superposition,[],[f133,f381]) ).
tff(f381,plain,
( ( sK0 = tb2t1(sF18) )
| ~ spl45_27 ),
inference(avatar_component_clause,[],[f380]) ).
tff(f133,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f92]) ).
tff(f92,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X15: uni] : ( t2tb1(tb2t1(X15)) = X15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f566,plain,
( spl45_59
| ~ spl45_60
| ~ spl45_51
| ~ spl45_31 ),
inference(avatar_split_clause,[],[f469,f397,f512,f564,f561]) ).
tff(f561,plain,
( spl45_59
<=> $less(tb2t(get(int,int,sF20,sF25)),sF23) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_59])]) ).
tff(f469,plain,
( ~ $less(0,sF23)
| ~ $less(sF23,sK4)
| $less(tb2t(get(int,int,sF20,sF25)),sF23)
| ~ spl45_31 ),
inference(superposition,[],[f253,f398]) ).
tff(f559,plain,
( ~ spl45_55
| spl45_58
| ~ spl45_1
| ~ spl45_40 ),
inference(avatar_split_clause,[],[f527,f435,f269,f557,f546]) ).
tff(f557,plain,
( spl45_58
<=> $less(tb2t(get(int,int,sF20,sF42)),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_58])]) ).
tff(f527,plain,
( ~ $less(0,sK9)
| $less(tb2t(get(int,int,sF20,sF42)),sK9)
| ~ spl45_1
| ~ spl45_40 ),
inference(subsumption_resolution,[],[f519,f270]) ).
tff(f519,plain,
( ~ $less(sK9,sK4)
| $less(tb2t(get(int,int,sF20,sF42)),sK9)
| ~ $less(0,sK9)
| ~ spl45_40 ),
inference(superposition,[],[f253,f436]) ).
tff(f555,plain,
( spl45_56
| ~ spl45_57
| ~ spl45_1
| ~ spl45_40 ),
inference(avatar_split_clause,[],[f526,f435,f269,f553,f550]) ).
tff(f526,plain,
( $less(sF33,tb2t(get(int,int,sF24,sF42)))
| ~ $less(sK5,sK9)
| ~ spl45_1
| ~ spl45_40 ),
inference(subsumption_resolution,[],[f521,f270]) ).
tff(f521,plain,
( ~ $less(sK9,sK4)
| ~ $less(sK5,sK9)
| $less(sF33,tb2t(get(int,int,sF24,sF42)))
| ~ spl45_40 ),
inference(superposition,[],[f255,f436]) ).
tff(f548,plain,
( spl45_54
| ~ spl45_55
| ~ spl45_1
| ~ spl45_40 ),
inference(avatar_split_clause,[],[f523,f435,f269,f546,f543]) ).
tff(f523,plain,
( ~ $less(0,sK9)
| $less(0,tb2t(get(int,int,sF24,sF42)))
| ~ spl45_1
| ~ spl45_40 ),
inference(subsumption_resolution,[],[f520,f270]) ).
tff(f520,plain,
( ~ $less(0,sK9)
| ~ $less(sK9,sK4)
| $less(0,tb2t(get(int,int,sF24,sF42)))
| ~ spl45_40 ),
inference(superposition,[],[f254,f436]) ).
tff(f541,plain,
( spl45_52
| spl45_53
| ~ spl45_1
| ~ spl45_40 ),
inference(avatar_split_clause,[],[f522,f435,f269,f539,f536]) ).
tff(f522,plain,
( $less(sK9,0)
| path(tb2t(get(int,int,sF24,sF42)),sK9)
| ~ spl45_1
| ~ spl45_40 ),
inference(subsumption_resolution,[],[f516,f270]) ).
tff(f516,plain,
( $less(sK9,0)
| path(tb2t(get(int,int,sF24,sF42)),sK9)
| ~ $less(sK9,sK4)
| ~ spl45_40 ),
inference(superposition,[],[f239,f436]) ).
tff(f514,plain,
( spl45_49
| spl45_50
| ~ spl45_51
| ~ spl45_31 ),
inference(avatar_split_clause,[],[f466,f397,f512,f509,f506]) ).
tff(f466,plain,
( ~ $less(sF23,sK4)
| path(tb2t(get(int,int,sF24,sF25)),sF23)
| $less(sF23,0)
| ~ spl45_31 ),
inference(superposition,[],[f239,f398]) ).
tff(f495,plain,
( ~ spl45_47
| spl45_48
| ~ spl45_5
| ~ spl45_34 ),
inference(avatar_split_clause,[],[f481,f410,f285,f493,f490]) ).
tff(f481,plain,
( ~ $less(0,sK5)
| $less(tb2t(get(int,int,sF20,sF31)),sK5)
| ~ spl45_5
| ~ spl45_34 ),
inference(subsumption_resolution,[],[f476,f286]) ).
tff(f476,plain,
( ~ $less(sK5,sK4)
| $less(tb2t(get(int,int,sF20,sF31)),sK5)
| ~ $less(0,sK5)
| ~ spl45_34 ),
inference(superposition,[],[f253,f411]) ).
tff(f488,plain,
( spl45_46
| spl45_3
| ~ spl45_5
| ~ spl45_34 ),
inference(avatar_split_clause,[],[f480,f410,f285,f277,f486]) ).
tff(f480,plain,
( path(tb2t(get(int,int,sF24,sF31)),sK5)
| spl45_3
| ~ spl45_5
| ~ spl45_34 ),
inference(subsumption_resolution,[],[f479,f286]) ).
tff(f479,plain,
( ~ $less(sK5,sK4)
| path(tb2t(get(int,int,sF24,sF31)),sK5)
| spl45_3
| ~ spl45_34 ),
inference(subsumption_resolution,[],[f473,f278]) ).
tff(f473,plain,
( $less(sK5,0)
| ~ $less(sK5,sK4)
| path(tb2t(get(int,int,sF24,sF31)),sK5)
| ~ spl45_34 ),
inference(superposition,[],[f239,f411]) ).
tff(f464,plain,
( spl45_45
| ~ spl45_24 ),
inference(avatar_split_clause,[],[f377,f364,f462]) ).
tff(f377,plain,
( ( sF17 = t2tb(-1) )
| ~ spl45_24 ),
inference(forward_demodulation,[],[f220,f365]) ).
tff(f220,plain,
t2tb(sF13) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
tff(f460,plain,
( spl45_44
| ~ spl45_26 ),
inference(avatar_split_clause,[],[f442,f374,f458]) ).
tff(f458,plain,
( spl45_44
<=> sort(int,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_44])]) ).
tff(f442,plain,
( sort(int,sF15)
| ~ spl45_26 ),
inference(superposition,[],[f147,f375]) ).
tff(f456,plain,
( ~ spl45_42
| spl45_43
| ~ spl45_26 ),
inference(avatar_split_clause,[],[f449,f374,f454,f451]) ).
tff(f454,plain,
( spl45_43
<=> path(tb2t(get(int,int,sF24,sF15)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_43])]) ).
tff(f449,plain,
( ~ $less(0,sK4)
| path(tb2t(get(int,int,sF24,sF15)),0)
| ~ spl45_26 ),
inference(evaluation,[],[f443]) ).
tff(f443,plain,
( path(tb2t(get(int,int,sF24,sF15)),0)
| ~ $less(0,sK4)
| $less(0,0)
| ~ spl45_26 ),
inference(superposition,[],[f239,f375]) ).
tff(f441,plain,
spl45_41,
inference(avatar_split_clause,[],[f265,f439]) ).
tff(f265,plain,
tb2t(sF43) = sF44,
introduced(function_definition,[new_symbols(definition,[sF44])]) ).
tff(f437,plain,
spl45_40,
inference(avatar_split_clause,[],[f263,f435]) ).
tff(f263,plain,
t2tb(sK9) = sF42,
introduced(function_definition,[new_symbols(definition,[sF42])]) ).
tff(f433,plain,
spl45_39,
inference(avatar_split_clause,[],[f262,f431]) ).
tff(f262,plain,
tb2t(sF40) = sF41,
introduced(function_definition,[new_symbols(definition,[sF41])]) ).
tff(f429,plain,
spl45_38,
inference(avatar_split_clause,[],[f260,f427]) ).
tff(f260,plain,
t2tb(sK8) = sF39,
introduced(function_definition,[new_symbols(definition,[sF39])]) ).
tff(f425,plain,
( spl45_37
| ~ spl45_19 ),
inference(avatar_split_clause,[],[f421,f341,f423]) ).
tff(f421,plain,
( ( sK8 = tb2t(sF36) )
| ~ spl45_19 ),
inference(forward_demodulation,[],[f248,f342]) ).
tff(f248,plain,
tb2t(sF36) = sF37,
introduced(function_definition,[new_symbols(definition,[sF37])]) ).
tff(f420,plain,
spl45_36,
inference(avatar_split_clause,[],[f245,f418]) ).
tff(f245,plain,
f(sK4) = sF35,
introduced(function_definition,[new_symbols(definition,[sF35])]) ).
tff(f416,plain,
spl45_35,
inference(avatar_split_clause,[],[f242,f414]) ).
tff(f412,plain,
spl45_34,
inference(avatar_split_clause,[],[f240,f410]) ).
tff(f408,plain,
( spl45_33
| ~ spl45_14 ),
inference(avatar_split_clause,[],[f404,f321,f406]) ).
tff(f321,plain,
( spl45_14
<=> ( 0 = sF30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_14])]) ).
tff(f404,plain,
( ( 0 = tb2t(sF29) )
| ~ spl45_14 ),
inference(forward_demodulation,[],[f237,f322]) ).
tff(f322,plain,
( ( 0 = sF30 )
| ~ spl45_14 ),
inference(avatar_component_clause,[],[f321]) ).
tff(f237,plain,
tb2t(sF29) = sF30,
introduced(function_definition,[new_symbols(definition,[sF30])]) ).
tff(f403,plain,
spl45_32,
inference(avatar_split_clause,[],[f232,f401]) ).
tff(f232,plain,
tb2t(sF26) = sF27,
introduced(function_definition,[new_symbols(definition,[sF27])]) ).
tff(f399,plain,
spl45_31,
inference(avatar_split_clause,[],[f230,f397]) ).
tff(f230,plain,
t2tb(sF23) = sF25,
introduced(function_definition,[new_symbols(definition,[sF25])]) ).
tff(f395,plain,
spl45_30,
inference(avatar_split_clause,[],[f229,f393]) ).
tff(f391,plain,
( spl45_29
| ~ spl45_25 ),
inference(avatar_split_clause,[],[f387,f368,f389]) ).
tff(f368,plain,
( spl45_25
<=> ( sF22 = -1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_25])]) ).
tff(f387,plain,
( ( tb2t(sF21) = -1 )
| ~ spl45_25 ),
inference(forward_demodulation,[],[f226,f369]) ).
tff(f369,plain,
( ( sF22 = -1 )
| ~ spl45_25 ),
inference(avatar_component_clause,[],[f368]) ).
tff(f226,plain,
tb2t(sF21) = sF22,
introduced(function_definition,[new_symbols(definition,[sF22])]) ).
tff(f386,plain,
spl45_28,
inference(avatar_split_clause,[],[f224,f384]) ).
tff(f382,plain,
( spl45_27
| ~ spl45_10 ),
inference(avatar_split_clause,[],[f378,f305,f380]) ).
tff(f305,plain,
( spl45_10
<=> ( sK0 = sF19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_10])]) ).
tff(f378,plain,
( ( sK0 = tb2t1(sF18) )
| ~ spl45_10 ),
inference(forward_demodulation,[],[f222,f306]) ).
tff(f306,plain,
( ( sK0 = sF19 )
| ~ spl45_10 ),
inference(avatar_component_clause,[],[f305]) ).
tff(f222,plain,
tb2t1(sF18) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
tff(f376,plain,
spl45_26,
inference(avatar_split_clause,[],[f218,f374]) ).
tff(f218,plain,
t2tb(0) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
tff(f370,plain,
( spl45_25
| ~ spl45_11 ),
inference(avatar_split_clause,[],[f362,f309,f368]) ).
tff(f309,plain,
( spl45_11
<=> ( sF13 = sF22 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_11])]) ).
tff(f362,plain,
( ( sF22 = -1 )
| ~ spl45_11 ),
inference(backward_demodulation,[],[f310,f267]) ).
tff(f267,plain,
sF13 = -1,
inference(evaluation,[],[f215]) ).
tff(f215,plain,
$uminus(1) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
tff(f310,plain,
( ( sF13 = sF22 )
| ~ spl45_11 ),
inference(avatar_component_clause,[],[f309]) ).
tff(f366,plain,
spl45_24,
inference(avatar_split_clause,[],[f267,f364]) ).
tff(f361,plain,
spl45_23,
inference(avatar_split_clause,[],[f152,f359]) ).
tff(f359,plain,
( spl45_23
<=> path(0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_23])]) ).
tff(f152,plain,
path(0,0),
inference(cnf_transformation,[],[f35]) ).
tff(f35,axiom,
path(0,0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f356,plain,
~ spl45_22,
inference(avatar_split_clause,[],[f125,f354]) ).
tff(f354,plain,
( spl45_22
<=> ( true = false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_22])]) ).
tff(f125,plain,
true != false,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true != false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f352,plain,
( ~ spl45_21
| spl45_17
| ~ spl45_19 ),
inference(avatar_split_clause,[],[f348,f341,f333,f350]) ).
tff(f333,plain,
( spl45_17
<=> $less(sF37,sF35) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_17])]) ).
tff(f348,plain,
( ~ $less(sK8,sF35)
| spl45_17
| ~ spl45_19 ),
inference(backward_demodulation,[],[f334,f342]) ).
tff(f334,plain,
( ~ $less(sF37,sF35)
| spl45_17 ),
inference(avatar_component_clause,[],[f333]) ).
tff(f347,plain,
~ spl45_20,
inference(avatar_split_clause,[],[f266,f345]) ).
tff(f266,plain,
~ $less(sF41,sF44),
inference(definition_folding,[],[f154,f265,f264,f263,f229,f262,f261,f260,f229]) ).
tff(f154,plain,
~ $less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK8))),tb2t(get(int,int,t2tb1(sK3),t2tb(sK9)))),
inference(cnf_transformation,[],[f121]) ).
tff(f343,plain,
spl45_19,
inference(avatar_split_clause,[],[f259,f341]) ).
tff(f259,plain,
sK8 = sF37,
inference(definition_folding,[],[f157,f248,f247,f240,f224]) ).
tff(f157,plain,
sK8 = tb2t(get(int,int,t2tb1(sK2),t2tb(sK5))),
inference(cnf_transformation,[],[f121]) ).
tff(f339,plain,
spl45_18,
inference(avatar_split_clause,[],[f257,f337]) ).
tff(f257,plain,
sK7 = sF38,
inference(definition_folding,[],[f160,f256]) ).
tff(f160,plain,
sK7 = $sum(sK6,1),
inference(cnf_transformation,[],[f121]) ).
tff(f335,plain,
~ spl45_17,
inference(avatar_split_clause,[],[f249,f333]) ).
tff(f249,plain,
~ $less(sF37,sF35),
inference(definition_folding,[],[f168,f245,f248,f247,f240,f224]) ).
tff(f168,plain,
~ $less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK5))),f(sK4)),
inference(cnf_transformation,[],[f121]) ).
tff(f331,plain,
~ spl45_16,
inference(avatar_split_clause,[],[f246,f329]) ).
tff(f246,plain,
~ $less(sK5,sF35),
inference(definition_folding,[],[f169,f245]) ).
tff(f169,plain,
~ $less(sK5,f(sK4)),
inference(cnf_transformation,[],[f121]) ).
tff(f327,plain,
~ spl45_15,
inference(avatar_split_clause,[],[f244,f325]) ).
tff(f244,plain,
~ $less(sF23,sF34),
inference(definition_folding,[],[f170,f243,f242,f241,f240,f229,f228,f215]) ).
tff(f170,plain,
~ $less($sum(sK4,$uminus(1)),$sum(sK6,tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))))),
inference(cnf_transformation,[],[f121]) ).
tff(f323,plain,
spl45_14,
inference(avatar_split_clause,[],[f238,f321]) ).
tff(f238,plain,
0 = sF30,
inference(definition_folding,[],[f176,f237,f236,f218,f229]) ).
tff(f176,plain,
0 = tb2t(get(int,int,t2tb1(sK3),t2tb(0))),
inference(cnf_transformation,[],[f121]) ).
tff(f319,plain,
~ spl45_13,
inference(avatar_split_clause,[],[f235,f317]) ).
tff(f235,plain,
~ $less(sF14,sK4),
inference(definition_folding,[],[f177,f216,f215]) ).
tff(f177,plain,
~ $less($sum(n,$uminus(1)),sK4),
inference(cnf_transformation,[],[f121]) ).
tff(f315,plain,
~ spl45_12,
inference(avatar_split_clause,[],[f234,f313]) ).
tff(f234,plain,
~ $less(sF23,sF28),
inference(definition_folding,[],[f179,f233,f232,f231,f230,f228,f215,f229,f228,f215]) ).
tff(f179,plain,
~ $less($sum(sK4,$uminus(1)),$sum(sK1,tb2t(get(int,int,t2tb1(sK3),t2tb($sum(sK4,$uminus(1))))))),
inference(cnf_transformation,[],[f121]) ).
tff(f311,plain,
spl45_11,
inference(avatar_split_clause,[],[f227,f309]) ).
tff(f227,plain,
sF13 = sF22,
inference(definition_folding,[],[f180,f226,f225,f218,f224,f215]) ).
tff(f180,plain,
$uminus(1) = tb2t(get(int,int,t2tb1(sK2),t2tb(0))),
inference(cnf_transformation,[],[f121]) ).
tff(f307,plain,
spl45_10,
inference(avatar_split_clause,[],[f223,f305]) ).
tff(f223,plain,
sK0 = sF19,
inference(definition_folding,[],[f182,f222,f221,f220,f215,f218,f219,f218]) ).
tff(f182,plain,
tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = sK0,
inference(cnf_transformation,[],[f121]) ).
tff(f303,plain,
~ spl45_9,
inference(avatar_split_clause,[],[f217,f301]) ).
tff(f217,plain,
~ $less(sF14,1),
inference(definition_folding,[],[f184,f216,f215]) ).
tff(f184,plain,
~ $less($sum(n,$uminus(1)),1),
inference(cnf_transformation,[],[f121]) ).
tff(f299,plain,
spl45_8,
inference(avatar_split_clause,[],[f187,f297]) ).
tff(f187,plain,
$less(0,n),
inference(cnf_transformation,[],[f121]) ).
tff(f295,plain,
~ spl45_7,
inference(avatar_split_clause,[],[f178,f293]) ).
tff(f178,plain,
~ $less(sK4,1),
inference(cnf_transformation,[],[f121]) ).
tff(f291,plain,
~ spl45_6,
inference(avatar_split_clause,[],[f174,f289]) ).
tff(f289,plain,
( spl45_6
<=> $less(n,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_6])]) ).
tff(f174,plain,
~ $less(n,0),
inference(cnf_transformation,[],[f121]) ).
tff(f287,plain,
spl45_5,
inference(avatar_split_clause,[],[f173,f285]) ).
tff(f173,plain,
$less(sK5,sK4),
inference(cnf_transformation,[],[f121]) ).
tff(f283,plain,
spl45_4,
inference(avatar_split_clause,[],[f161,f281]) ).
tff(f281,plain,
( spl45_4
<=> $less(sK5,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl45_4])]) ).
tff(f161,plain,
$less(sK5,n),
inference(cnf_transformation,[],[f121]) ).
tff(f279,plain,
~ spl45_3,
inference(avatar_split_clause,[],[f159,f277]) ).
tff(f159,plain,
~ $less(sK5,0),
inference(cnf_transformation,[],[f121]) ).
tff(f275,plain,
spl45_2,
inference(avatar_split_clause,[],[f156,f273]) ).
tff(f156,plain,
$less(sK8,sK9),
inference(cnf_transformation,[],[f121]) ).
tff(f271,plain,
spl45_1,
inference(avatar_split_clause,[],[f155,f269]) ).
tff(f155,plain,
$less(sK9,sK4),
inference(cnf_transformation,[],[f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW631_2 : TPTP v8.2.0. Released v6.1.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 05:52:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TF0_THM_EQU_ARI problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24641)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 (3000ds/34Mi)
% 0.20/0.42 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24643)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 (3000ds/2Mi)
% 0.20/0.42 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24644)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 (3000ds/37Mi)
% 0.20/0.42 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24646)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 (3000ds/32Mi)
% 0.20/0.42 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24645)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.20/0.42 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24642)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 (3000ds/8Mi)
% 0.20/0.42 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24640)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 (3000ds/59848Mi)
% 0.20/0.42 % (24643)Instruction limit reached!
% 0.20/0.42 % (24643)------------------------------
% 0.20/0.42 % (24643)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (24643)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (24643)Termination reason: Time limit
% 0.20/0.42 % (24643)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (24643)Memory used [KB]: 825
% 0.20/0.42 % (24643)Time elapsed: 0.003 s
% 0.20/0.42 % (24643)Instructions burned: 3 (million)
% 0.20/0.42 % (24642)Instruction limit reached!
% 0.20/0.42 % (24642)------------------------------
% 0.20/0.42 % (24642)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (24642)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (24642)Termination reason: Time limit
% 0.20/0.42 % (24642)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (24642)Memory used [KB]: 1073
% 0.20/0.42 % (24642)Time elapsed: 0.007 s
% 0.20/0.42 % (24642)Instructions burned: 8 (million)
% 0.20/0.43 % (24645)Instruction limit reached!
% 0.20/0.43 % (24645)------------------------------
% 0.20/0.43 % (24645)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (24645)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (24645)Termination reason: Time limit
% 0.20/0.43 % (24645)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (24645)Memory used [KB]: 1103
% 0.20/0.43 % (24645)Time elapsed: 0.012 s
% 0.20/0.43 % (24645)Instructions burned: 16 (million)
% 0.20/0.44 % (24646)Instruction limit reached!
% 0.20/0.44 % (24646)------------------------------
% 0.20/0.44 % (24646)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (24646)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (24646)Termination reason: Time limit
% 0.20/0.44 % (24646)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (24646)Memory used [KB]: 1327
% 0.20/0.44 % (24646)Time elapsed: 0.024 s
% 0.20/0.44 % (24646)Instructions burned: 32 (million)
% 0.20/0.44 % (24641)Instruction limit reached!
% 0.20/0.44 % (24641)------------------------------
% 0.20/0.44 % (24641)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (24641)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (24641)Termination reason: Time limit
% 0.20/0.44 % (24641)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (24641)Memory used [KB]: 1331
% 0.20/0.44 % (24641)Time elapsed: 0.024 s
% 0.20/0.44 % (24641)Instructions burned: 35 (million)
% 0.20/0.44 % (24644)Instruction limit reached!
% 0.20/0.44 % (24644)------------------------------
% 0.20/0.44 % (24644)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (24644)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (24644)Termination reason: Time limit
% 0.20/0.44 % (24644)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (24644)Memory used [KB]: 1338
% 0.20/0.44 % (24644)Time elapsed: 0.027 s
% 0.20/0.44 % (24644)Instructions burned: 37 (million)
% 0.20/0.47 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.47 % (24647)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)
% 0.20/0.48 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (24649)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)
% 0.20/0.48 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (24648)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)
% 0.20/0.48 % (24649)Instruction limit reached!
% 0.20/0.48 % (24649)------------------------------
% 0.20/0.48 % (24649)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (24649)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (24649)Termination reason: Time limit
% 0.20/0.48 % (24649)Termination phase: Including theory axioms
% 0.20/0.48
% 0.20/0.48 % (24649)Memory used [KB]: 825
% 0.20/0.48 % (24649)Time elapsed: 0.002 s
% 0.20/0.48 % (24649)Instructions burned: 3 (million)
% 0.20/0.48 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (24650)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.49 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (24651)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)
% 0.20/0.49 % (24648)Instruction limit reached!
% 0.20/0.49 % (24648)------------------------------
% 0.20/0.49 % (24648)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (24652)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)
% 0.20/0.49 % (24648)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (24648)Termination reason: Time limit
% 0.20/0.49 % (24648)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (24648)Memory used [KB]: 1426
% 0.20/0.49 % (24648)Time elapsed: 0.012 s
% 0.20/0.49 % (24648)Instructions burned: 26 (million)
% 0.20/0.49 % (24651)Instruction limit reached!
% 0.20/0.49 % (24651)------------------------------
% 0.20/0.49 % (24651)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (24651)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (24651)Termination reason: Time limit
% 0.20/0.49 % (24651)Termination phase: Preprocessing 2
% 0.20/0.49
% 0.20/0.49 % (24651)Memory used [KB]: 856
% 0.20/0.49 % (24651)Time elapsed: 0.003 s
% 0.20/0.49 % (24651)Instructions burned: 4 (million)
% 0.20/0.49 % (24652)Instruction limit reached!
% 0.20/0.49 % (24652)------------------------------
% 0.20/0.49 % (24652)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (24652)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (24652)Termination reason: Time limit
% 0.20/0.49 % (24652)Termination phase: Preprocessing 3
% 0.20/0.49
% 0.20/0.49 % (24647)Instruction limit reached!
% 0.20/0.49 % (24647)------------------------------
% 0.20/0.49 % (24647)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (24652)Memory used [KB]: 859
% 0.20/0.49 % (24652)Time elapsed: 0.003 s
% 0.20/0.49 % (24652)Instructions burned: 4 (million)
% 0.20/0.49 % (24647)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (24647)Termination reason: Time limit
% 0.20/0.49 % (24647)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (24647)Memory used [KB]: 1324
% 0.20/0.49 % (24647)Time elapsed: 0.016 s
% 0.20/0.49 % (24647)Instructions burned: 36 (million)
% 0.20/0.49 % (24650)Instruction limit reached!
% 0.20/0.49 % (24650)------------------------------
% 0.20/0.49 % (24650)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (24650)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (24650)Termination reason: Time limit
% 0.20/0.50 % (24650)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (24650)Memory used [KB]: 1342
% 0.20/0.50 % (24650)Time elapsed: 0.016 s
% 0.20/0.50 % (24650)Instructions burned: 36 (million)
% 0.20/0.51 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (24653)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.20/0.52 % (24653)Instruction limit reached!
% 0.20/0.52 % (24653)------------------------------
% 0.20/0.52 % (24653)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (24653)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (24653)Termination reason: Time limit
% 0.20/0.52 % (24653)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (24653)Memory used [KB]: 1122
% 0.20/0.52 % (24653)Time elapsed: 0.010 s
% 0.20/0.52 % (24653)Instructions burned: 22 (million)
% 0.20/0.52 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (24654)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 (2998ds/50Mi)
% 0.20/0.52 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (24655)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 (2998ds/2Mi)
% 0.20/0.52 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (24656)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.52 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (24657)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 (2998ds/49Mi)
% 0.20/0.52 % (24655)Instruction limit reached!
% 0.20/0.52 % (24655)------------------------------
% 0.20/0.52 % (24655)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (24655)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (24655)Termination reason: Time limit
% 0.20/0.52 % (24655)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (24655)Memory used [KB]: 825
% 0.20/0.52 % (24655)Time elapsed: 0.002 s
% 0.20/0.52 % (24655)Instructions burned: 2 (million)
% 0.20/0.52 % (24656)Instruction limit reached!
% 0.20/0.52 % (24656)------------------------------
% 0.20/0.52 % (24656)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (24656)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (24656)Termination reason: Time limit
% 0.20/0.52 % (24656)Termination phase: Preprocessing 1
% 0.20/0.52
% 0.20/0.52 % (24656)Memory used [KB]: 825
% 0.20/0.52 % (24656)Time elapsed: 0.002 s
% 0.20/0.52 % (24656)Instructions burned: 2 (million)
% 0.20/0.53 % (24639)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53 % (24658)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)
% 1.34/0.54 % (24658)Instruction limit reached!
% 1.34/0.54 % (24658)------------------------------
% 1.34/0.54 % (24658)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.54 % (24658)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.54 % (24658)Termination reason: Time limit
% 1.34/0.54 % (24658)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (24658)Memory used [KB]: 1102
% 1.34/0.54 % (24658)Time elapsed: 0.008 s
% 1.34/0.54 % (24658)Instructions burned: 16 (million)
% 1.34/0.54 % (24654)Instruction limit reached!
% 1.34/0.54 % (24654)------------------------------
% 1.34/0.54 % (24654)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.54 % (24654)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.54 % (24654)Termination reason: Time limit
% 1.34/0.54 % (24654)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (24654)Memory used [KB]: 1519
% 1.34/0.54 % (24654)Time elapsed: 0.020 s
% 1.34/0.54 % (24654)Instructions burned: 52 (million)
% 1.34/0.54 % (24657)Instruction limit reached!
% 1.34/0.54 % (24657)------------------------------
% 1.34/0.54 % (24657)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.54 % (24657)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.54 % (24657)Termination reason: Time limit
% 1.34/0.54 % (24657)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (24657)Memory used [KB]: 1422
% 1.34/0.54 % (24657)Time elapsed: 0.021 s
% 1.34/0.54 % (24657)Instructions burned: 51 (million)
% 1.34/0.55 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.55 % (24659)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 (2998ds/2Mi)
% 1.34/0.55 % (24659)Instruction limit reached!
% 1.34/0.55 % (24659)------------------------------
% 1.34/0.55 % (24659)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.55 % (24659)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.55 % (24659)Termination reason: Time limit
% 1.34/0.55 % (24659)Termination phase: Property scanning
% 1.34/0.55
% 1.40/0.55 % (24659)Memory used [KB]: 822
% 1.40/0.55 % (24659)Time elapsed: 0.002 s
% 1.40/0.55 % (24659)Instructions burned: 2 (million)
% 1.40/0.56 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.56 % (24660)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.40/0.56 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.56 % (24661)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.40/0.56 % (24660)Instruction limit reached!
% 1.40/0.56 % (24660)------------------------------
% 1.40/0.56 % (24660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.56 % (24660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.56 % (24660)Termination reason: Time limit
% 1.40/0.56 % (24660)Termination phase: Saturation
% 1.40/0.56
% 1.40/0.56 % (24660)Memory used [KB]: 1109
% 1.40/0.56 % (24660)Time elapsed: 0.007 s
% 1.40/0.56 % (24660)Instructions burned: 16 (million)
% 1.40/0.57 % (24661)Instruction limit reached!
% 1.40/0.57 % (24661)------------------------------
% 1.40/0.57 % (24661)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.57 % (24661)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.57 % (24661)Termination reason: Time limit
% 1.40/0.57 % (24661)Termination phase: Saturation
% 1.40/0.57
% 1.40/0.57 % (24661)Memory used [KB]: 1127
% 1.40/0.57 % (24661)Time elapsed: 0.010 s
% 1.40/0.57 % (24661)Instructions burned: 23 (million)
% 1.40/0.57 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.57 % (24662)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 (2998ds/46Mi)
% 1.40/0.57 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.57 % (24663)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.40/0.58 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.58 % (24664)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 (2998ds/47Mi)
% 1.40/0.59 % (24662)Instruction limit reached!
% 1.40/0.59 % (24662)------------------------------
% 1.40/0.59 % (24662)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.59 % (24662)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.59 % (24662)Termination reason: Time limit
% 1.40/0.59 % (24662)Termination phase: Saturation
% 1.40/0.59
% 1.40/0.59 % (24662)Memory used [KB]: 1393
% 1.40/0.59 % (24662)Time elapsed: 0.019 s
% 1.40/0.59 % (24662)Instructions burned: 47 (million)
% 1.40/0.59 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.59 % (24665)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 (2998ds/42Mi)
% 1.40/0.59 % (24663)Instruction limit reached!
% 1.40/0.59 % (24663)------------------------------
% 1.40/0.59 % (24663)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.59 % (24663)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.59 % (24663)Termination reason: Time limit
% 1.40/0.59 % (24663)Termination phase: Saturation
% 1.40/0.59
% 1.40/0.59 % (24663)Memory used [KB]: 1510
% 1.40/0.59 % (24663)Time elapsed: 0.042 s
% 1.40/0.59 % (24663)Instructions burned: 50 (million)
% 1.40/0.59 % (24664)Instruction limit reached!
% 1.40/0.59 % (24664)------------------------------
% 1.40/0.59 % (24664)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.59 % (24664)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.59 % (24664)Termination reason: Time limit
% 1.40/0.59 % (24664)Termination phase: Saturation
% 1.40/0.59
% 1.40/0.59 % (24664)Memory used [KB]: 1368
% 1.40/0.59 % (24664)Time elapsed: 0.040 s
% 1.40/0.59 % (24664)Instructions burned: 47 (million)
% 1.40/0.60 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.60 % (24666)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/43Mi)
% 1.40/0.60 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.60 % (24667)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.40/0.60 % (24665)Instruction limit reached!
% 1.40/0.60 % (24665)------------------------------
% 1.40/0.60 % (24665)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.60 % (24665)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.60 % (24665)Termination reason: Time limit
% 1.40/0.60 % (24665)Termination phase: Saturation
% 1.40/0.60
% 1.40/0.60 % (24665)Memory used [KB]: 1378
% 1.40/0.60 % (24665)Time elapsed: 0.039 s
% 1.40/0.60 % (24665)Instructions burned: 42 (million)
% 1.40/0.61 % (24667)Instruction limit reached!
% 1.40/0.61 % (24667)------------------------------
% 1.40/0.61 % (24667)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.61 % (24667)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.61 % (24667)Termination reason: Time limit
% 1.40/0.61 % (24667)Termination phase: Saturation
% 1.40/0.61
% 1.40/0.61 % (24667)Memory used [KB]: 1123
% 1.40/0.61 % (24667)Time elapsed: 0.031 s
% 1.40/0.61 % (24667)Instructions burned: 23 (million)
% 1.40/0.61 % (24666)Instruction limit reached!
% 1.40/0.61 % (24666)------------------------------
% 1.40/0.61 % (24666)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.61 % (24666)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.61 % (24666)Termination reason: Time limit
% 1.40/0.61 % (24666)Termination phase: Saturation
% 1.40/0.61
% 1.40/0.61 % (24666)Memory used [KB]: 1437
% 1.40/0.61 % (24666)Time elapsed: 0.037 s
% 1.40/0.61 % (24666)Instructions burned: 44 (million)
% 1.40/0.61 % (24640)First to succeed.
% 1.40/0.62 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.62 % (24668)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 (2997ds/21Mi)
% 1.40/0.62 % (24640)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24639"
% 1.40/0.62 % (24639)Running in auto input_syntax mode. Trying TPTP
% 1.40/0.62 % (24640)Refutation found. Thanks to Tanya!
% 1.40/0.62 % SZS status Theorem for theBenchmark
% 1.40/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.63 % (24640)------------------------------
% 1.40/0.63 % (24640)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.40/0.63 % (24640)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.40/0.63 % (24640)Termination reason: Refutation
% 1.40/0.63
% 1.40/0.63 % (24640)Memory used [KB]: 2406
% 1.40/0.63 % (24640)Time elapsed: 0.193 s
% 1.40/0.63 % (24640)Instructions burned: 504 (million)
% 1.40/0.63 % (24640)------------------------------
% 1.40/0.63 % (24640)------------------------------
% 1.40/0.63 % (24639)Success in time 0.248 s
%------------------------------------------------------------------------------