TSTP Solution File: SWV104+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV104+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Sun May 5 10:44:33 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 405
% Syntax : Number of formulae : 1370 ( 298 unt; 0 def)
% Number of atoms : 4598 ( 865 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 5272 (2044 ~;2200 |; 624 &)
% ( 299 <=>; 105 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 313 ( 311 usr; 297 prp; 0-4 aty)
% Number of functors : 57 ( 57 usr; 12 con; 0-4 aty)
% Number of variables : 2079 (1926 !; 153 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3638,plain,
$false,
inference(avatar_sat_refutation,[],[f455,f460,f465,f470,f475,f480,f485,f490,f495,f500,f505,f510,f515,f520,f525,f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f594,f598,f603,f608,f612,f617,f622,f627,f632,f642,f648,f662,f668,f672,f676,f708,f712,f716,f738,f742,f748,f753,f758,f763,f767,f772,f776,f781,f785,f791,f795,f799,f804,f808,f813,f817,f821,f826,f830,f835,f839,f844,f848,f853,f857,f862,f866,f871,f875,f880,f884,f889,f893,f898,f902,f907,f911,f916,f920,f925,f929,f934,f938,f943,f947,f952,f956,f961,f965,f970,f975,f979,f984,f988,f992,f996,f1000,f1004,f1008,f1012,f1016,f1021,f1025,f1029,f1033,f1037,f1041,f1045,f1050,f1054,f1058,f1062,f1066,f1071,f1075,f1079,f1083,f1087,f1091,f1096,f1100,f1104,f1108,f1112,f1116,f1121,f1125,f1129,f1133,f1137,f1141,f1146,f1230,f1235,f1240,f1244,f1251,f1255,f1259,f1263,f1267,f1271,f1276,f1280,f1284,f1288,f1509,f1562,f1566,f1570,f1636,f1641,f1646,f1673,f1678,f1710,f1714,f1786,f1792,f1798,f1802,f1807,f1811,f1815,f1819,f1823,f1866,f1874,f1889,f1895,f1899,f1905,f1909,f1914,f2006,f2012,f2018,f2052,f2056,f2061,f2065,f2069,f2073,f2077,f2081,f2085,f2089,f2093,f2099,f2104,f2109,f2113,f2117,f2121,f2126,f2130,f2134,f2198,f2205,f2209,f2243,f2248,f2253,f2259,f2293,f2356,f2360,f2366,f2372,f2376,f2440,f2446,f2480,f2487,f2491,f2497,f2501,f2565,f2571,f2577,f2581,f2616,f2650,f2657,f2691,f2697,f2732,f2737,f2742,f2747,f2937,f2947,f2951,f2958,f2962,f2967,f2972,f2977,f2982,f2987,f2992,f2996,f3005,f3009,f3014,f3018,f3023,f3028,f3033,f3038,f3043,f3048,f3053,f3058,f3178,f3301,f3312,f3316,f3327,f3331,f3437,f3441,f3446,f3451,f3456,f3460,f3464,f3468,f3474,f3486,f3490,f3496,f3501,f3509,f3513,f3517,f3521,f3527,f3548,f3552,f3558,f3563,f3567,f3571,f3575,f3581,f3616,f3622,f3628,f3637]) ).
fof(f3637,plain,
( ~ spl40_268
| spl40_178
| ~ spl40_242
| ~ spl40_248
| ~ spl40_249 ),
inference(avatar_split_clause,[],[f3633,f2979,f2974,f2940,f1882,f3324]) ).
fof(f3324,plain,
( spl40_268
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n5,use),n5,use),n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_268])]) ).
fof(f1882,plain,
( spl40_178
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_178])]) ).
fof(f2940,plain,
( spl40_242
<=> n4 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_242])]) ).
fof(f2974,plain,
( spl40_248
<=> n3 = minus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_248])]) ).
fof(f2979,plain,
( spl40_249
<=> n4 = minus(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_249])]) ).
fof(f3633,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n5,use),n5,use),n5)
| spl40_178
| ~ spl40_242
| ~ spl40_248
| ~ spl40_249 ),
inference(forward_demodulation,[],[f3318,f3629]) ).
fof(f3629,plain,
( n3 = n5
| ~ spl40_242
| ~ spl40_248
| ~ spl40_249 ),
inference(forward_demodulation,[],[f3395,f2942]) ).
fof(f2942,plain,
( n4 = n5
| ~ spl40_242 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f3395,plain,
( n3 = n4
| ~ spl40_242
| ~ spl40_248
| ~ spl40_249 ),
inference(forward_demodulation,[],[f3394,f2981]) ).
fof(f2981,plain,
( n4 = minus(n5,n1)
| ~ spl40_249 ),
inference(avatar_component_clause,[],[f2979]) ).
fof(f3394,plain,
( n3 = minus(n5,n1)
| ~ spl40_242
| ~ spl40_248 ),
inference(superposition,[],[f2976,f2942]) ).
fof(f2976,plain,
( n3 = minus(n4,n1)
| ~ spl40_248 ),
inference(avatar_component_clause,[],[f2974]) ).
fof(f3318,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n5,use),n5,use),n5)
| spl40_178
| ~ spl40_242 ),
inference(forward_demodulation,[],[f1884,f2942]) ).
fof(f1884,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
| spl40_178 ),
inference(avatar_component_clause,[],[f1882]) ).
fof(f3628,plain,
( ~ spl40_29
| ~ spl40_266 ),
inference(avatar_contradiction_clause,[],[f3625]) ).
fof(f3625,plain,
( $false
| ~ spl40_29
| ~ spl40_266 ),
inference(resolution,[],[f3300,f593]) ).
fof(f593,plain,
( ! [X0] : ~ gt(X0,X0)
| ~ spl40_29 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f592,plain,
( spl40_29
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_29])]) ).
fof(f3300,plain,
( gt(n5,n5)
| ~ spl40_266 ),
inference(avatar_component_clause,[],[f3298]) ).
fof(f3298,plain,
( spl40_266
<=> gt(n5,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_266])]) ).
fof(f3622,plain,
( spl40_296
| ~ spl40_37
| ~ spl40_105 ),
inference(avatar_split_clause,[],[f1189,f998,f629,f3620]) ).
fof(f3620,plain,
( spl40_296
<=> ! [X0] :
( gt(n5,X0)
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_296])]) ).
fof(f629,plain,
( spl40_37
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_37])]) ).
fof(f998,plain,
( spl40_105
<=> ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_105])]) ).
fof(f1189,plain,
( ! [X0] :
( gt(n5,X0)
| ~ leq(X0,n4) )
| ~ spl40_37
| ~ spl40_105 ),
inference(superposition,[],[f999,f631]) ).
fof(f631,plain,
( n5 = plus(n4,n1)
| ~ spl40_37 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f999,plain,
( ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) )
| ~ spl40_105 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f3616,plain,
( spl40_295
| ~ spl40_36
| ~ spl40_105 ),
inference(avatar_split_clause,[],[f1188,f998,f624,f3614]) ).
fof(f3614,plain,
( spl40_295
<=> ! [X0] :
( gt(n4,X0)
| ~ leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_295])]) ).
fof(f624,plain,
( spl40_36
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_36])]) ).
fof(f1188,plain,
( ! [X0] :
( gt(n4,X0)
| ~ leq(X0,n3) )
| ~ spl40_36
| ~ spl40_105 ),
inference(superposition,[],[f999,f626]) ).
fof(f626,plain,
( n4 = plus(n3,n1)
| ~ spl40_36 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f3581,plain,
( spl40_294
| ~ spl40_242
| ~ spl40_253
| ~ spl40_293 ),
inference(avatar_split_clause,[],[f3577,f3573,f2998,f2940,f3579]) ).
fof(f3579,plain,
( spl40_294
<=> ! [X0] :
( gt(n5,X0)
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_294])]) ).
fof(f2998,plain,
( spl40_253
<=> n3 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_253])]) ).
fof(f3573,plain,
( spl40_293
<=> ! [X0] :
( gt(n3,X0)
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_293])]) ).
fof(f3577,plain,
( ! [X0] :
( gt(n5,X0)
| ~ leq(X0,n2) )
| ~ spl40_242
| ~ spl40_253
| ~ spl40_293 ),
inference(forward_demodulation,[],[f3576,f2942]) ).
fof(f3576,plain,
( ! [X0] :
( gt(n4,X0)
| ~ leq(X0,n2) )
| ~ spl40_253
| ~ spl40_293 ),
inference(forward_demodulation,[],[f3574,f3000]) ).
fof(f3000,plain,
( n3 = n4
| ~ spl40_253 ),
inference(avatar_component_clause,[],[f2998]) ).
fof(f3574,plain,
( ! [X0] :
( gt(n3,X0)
| ~ leq(X0,n2) )
| ~ spl40_293 ),
inference(avatar_component_clause,[],[f3573]) ).
fof(f3575,plain,
( spl40_293
| ~ spl40_35
| ~ spl40_105 ),
inference(avatar_split_clause,[],[f1187,f998,f619,f3573]) ).
fof(f619,plain,
( spl40_35
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_35])]) ).
fof(f1187,plain,
( ! [X0] :
( gt(n3,X0)
| ~ leq(X0,n2) )
| ~ spl40_35
| ~ spl40_105 ),
inference(superposition,[],[f999,f621]) ).
fof(f621,plain,
( n3 = plus(n2,n1)
| ~ spl40_35 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f3571,plain,
( spl40_292
| ~ spl40_34
| ~ spl40_105 ),
inference(avatar_split_clause,[],[f1186,f998,f614,f3569]) ).
fof(f3569,plain,
( spl40_292
<=> ! [X0] :
( gt(n2,X0)
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_292])]) ).
fof(f614,plain,
( spl40_34
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_34])]) ).
fof(f1186,plain,
( ! [X0] :
( gt(n2,X0)
| ~ leq(X0,n1) )
| ~ spl40_34
| ~ spl40_105 ),
inference(superposition,[],[f999,f616]) ).
fof(f616,plain,
( n2 = plus(n1,n1)
| ~ spl40_34 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f3567,plain,
( spl40_291
| ~ spl40_32
| ~ spl40_39
| ~ spl40_104 ),
inference(avatar_split_clause,[],[f1179,f994,f645,f605,f3565]) ).
fof(f3565,plain,
( spl40_291
<=> ! [X0] :
( ~ gt(tptp_float_0_0,X0)
| leq(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_291])]) ).
fof(f605,plain,
( spl40_32
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_32])]) ).
fof(f645,plain,
( spl40_39
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_39])]) ).
fof(f994,plain,
( spl40_104
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_104])]) ).
fof(f1179,plain,
( ! [X0] :
( ~ gt(tptp_float_0_0,X0)
| leq(X0,tptp_minus_1) )
| ~ spl40_32
| ~ spl40_39
| ~ spl40_104 ),
inference(forward_demodulation,[],[f1172,f647]) ).
fof(f647,plain,
( n0 = tptp_float_0_0
| ~ spl40_39 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f1172,plain,
( ! [X0] :
( ~ gt(n0,X0)
| leq(X0,tptp_minus_1) )
| ~ spl40_32
| ~ spl40_104 ),
inference(superposition,[],[f995,f607]) ).
fof(f607,plain,
( n0 = plus(tptp_minus_1,n1)
| ~ spl40_32 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f995,plain,
( ! [X0,X1] :
( ~ gt(plus(X1,n1),X0)
| leq(X0,X1) )
| ~ spl40_104 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f3563,plain,
( spl40_290
| ~ spl40_31
| ~ spl40_39
| ~ spl40_104 ),
inference(avatar_split_clause,[],[f1178,f994,f645,f600,f3561]) ).
fof(f3561,plain,
( spl40_290
<=> ! [X0] :
( leq(X0,tptp_float_0_0)
| ~ gt(n1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_290])]) ).
fof(f600,plain,
( spl40_31
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_31])]) ).
fof(f1178,plain,
( ! [X0] :
( leq(X0,tptp_float_0_0)
| ~ gt(n1,X0) )
| ~ spl40_31
| ~ spl40_39
| ~ spl40_104 ),
inference(forward_demodulation,[],[f1171,f647]) ).
fof(f1171,plain,
( ! [X0] :
( ~ gt(n1,X0)
| leq(X0,n0) )
| ~ spl40_31
| ~ spl40_104 ),
inference(superposition,[],[f995,f602]) ).
fof(f602,plain,
( n1 = plus(n0,n1)
| ~ spl40_31 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f3558,plain,
( spl40_289
| ~ spl40_37
| ~ spl40_104 ),
inference(avatar_split_clause,[],[f1176,f994,f629,f3556]) ).
fof(f3556,plain,
( spl40_289
<=> ! [X0] :
( ~ gt(n5,X0)
| leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_289])]) ).
fof(f1176,plain,
( ! [X0] :
( ~ gt(n5,X0)
| leq(X0,n4) )
| ~ spl40_37
| ~ spl40_104 ),
inference(superposition,[],[f995,f631]) ).
fof(f3552,plain,
( spl40_288
| ~ spl40_36
| ~ spl40_104 ),
inference(avatar_split_clause,[],[f1175,f994,f624,f3550]) ).
fof(f3550,plain,
( spl40_288
<=> ! [X0] :
( ~ gt(n4,X0)
| leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_288])]) ).
fof(f1175,plain,
( ! [X0] :
( ~ gt(n4,X0)
| leq(X0,n3) )
| ~ spl40_36
| ~ spl40_104 ),
inference(superposition,[],[f995,f626]) ).
fof(f3548,plain,
( spl40_287
| ~ spl40_34
| ~ spl40_35
| ~ spl40_36
| ~ spl40_152
| ~ spl40_164
| ~ spl40_165
| ~ spl40_240
| ~ spl40_259 ),
inference(avatar_split_clause,[],[f3272,f3025,f2930,f1712,f1708,f1278,f624,f619,f614,f3545]) ).
fof(f3545,plain,
( spl40_287
<=> n2 = n4 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_287])]) ).
fof(f1278,plain,
( spl40_152
<=> ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_152])]) ).
fof(f1708,plain,
( spl40_164
<=> ! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_164])]) ).
fof(f1712,plain,
( spl40_165
<=> ! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_165])]) ).
fof(f2930,plain,
( spl40_240
<=> n3 = n5 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_240])]) ).
fof(f3025,plain,
( spl40_259
<=> n1 = plus(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_259])]) ).
fof(f3272,plain,
( n2 = n4
| ~ spl40_34
| ~ spl40_35
| ~ spl40_36
| ~ spl40_152
| ~ spl40_164
| ~ spl40_165
| ~ spl40_240
| ~ spl40_259 ),
inference(forward_demodulation,[],[f3271,f616]) ).
fof(f3271,plain,
( n4 = plus(n1,n1)
| ~ spl40_35
| ~ spl40_36
| ~ spl40_152
| ~ spl40_164
| ~ spl40_165
| ~ spl40_240
| ~ spl40_259 ),
inference(forward_demodulation,[],[f3270,f3263]) ).
fof(f3263,plain,
( n4 = plus(tptp_minus_1,n5)
| ~ spl40_35
| ~ spl40_36
| ~ spl40_164
| ~ spl40_165
| ~ spl40_259 ),
inference(forward_demodulation,[],[f3262,f626]) ).
fof(f3262,plain,
( plus(n3,n1) = plus(tptp_minus_1,n5)
| ~ spl40_35
| ~ spl40_164
| ~ spl40_165
| ~ spl40_259 ),
inference(forward_demodulation,[],[f3261,f621]) ).
fof(f3261,plain,
( plus(plus(n2,n1),n1) = plus(tptp_minus_1,n5)
| ~ spl40_164
| ~ spl40_165
| ~ spl40_259 ),
inference(forward_demodulation,[],[f3257,f1747]) ).
fof(f1747,plain,
( ! [X0] : plus(X0,n5) = plus(n5,X0)
| ~ spl40_164
| ~ spl40_165 ),
inference(superposition,[],[f1713,f1709]) ).
fof(f1709,plain,
( ! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1)
| ~ spl40_164 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f1713,plain,
( ! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1)
| ~ spl40_165 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f3257,plain,
( plus(plus(n2,n1),n1) = plus(n5,tptp_minus_1)
| ~ spl40_165
| ~ spl40_259 ),
inference(superposition,[],[f1713,f3027]) ).
fof(f3027,plain,
( n1 = plus(n2,tptp_minus_1)
| ~ spl40_259 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f3270,plain,
( plus(n1,n1) = plus(tptp_minus_1,n5)
| ~ spl40_152
| ~ spl40_240
| ~ spl40_259 ),
inference(forward_demodulation,[],[f3260,f2932]) ).
fof(f2932,plain,
( n3 = n5
| ~ spl40_240 ),
inference(avatar_component_clause,[],[f2930]) ).
fof(f3260,plain,
( plus(n1,n1) = plus(tptp_minus_1,n3)
| ~ spl40_152
| ~ spl40_259 ),
inference(superposition,[],[f1279,f3027]) ).
fof(f1279,plain,
( ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1)
| ~ spl40_152 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f3527,plain,
( spl40_286
| ~ spl40_242
| ~ spl40_253
| ~ spl40_285 ),
inference(avatar_split_clause,[],[f3523,f3519,f2998,f2940,f3525]) ).
fof(f3525,plain,
( spl40_286
<=> ! [X0] :
( ~ gt(n5,X0)
| leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_286])]) ).
fof(f3519,plain,
( spl40_285
<=> ! [X0] :
( ~ gt(n3,X0)
| leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_285])]) ).
fof(f3523,plain,
( ! [X0] :
( ~ gt(n5,X0)
| leq(X0,n2) )
| ~ spl40_242
| ~ spl40_253
| ~ spl40_285 ),
inference(forward_demodulation,[],[f3522,f2942]) ).
fof(f3522,plain,
( ! [X0] :
( ~ gt(n4,X0)
| leq(X0,n2) )
| ~ spl40_253
| ~ spl40_285 ),
inference(forward_demodulation,[],[f3520,f3000]) ).
fof(f3520,plain,
( ! [X0] :
( ~ gt(n3,X0)
| leq(X0,n2) )
| ~ spl40_285 ),
inference(avatar_component_clause,[],[f3519]) ).
fof(f3521,plain,
( spl40_285
| ~ spl40_35
| ~ spl40_104 ),
inference(avatar_split_clause,[],[f1174,f994,f619,f3519]) ).
fof(f1174,plain,
( ! [X0] :
( ~ gt(n3,X0)
| leq(X0,n2) )
| ~ spl40_35
| ~ spl40_104 ),
inference(superposition,[],[f995,f621]) ).
fof(f3517,plain,
( spl40_284
| ~ spl40_34
| ~ spl40_104 ),
inference(avatar_split_clause,[],[f1173,f994,f614,f3515]) ).
fof(f3515,plain,
( spl40_284
<=> ! [X0] :
( ~ gt(n2,X0)
| leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_284])]) ).
fof(f1173,plain,
( ! [X0] :
( ~ gt(n2,X0)
| leq(X0,n1) )
| ~ spl40_34
| ~ spl40_104 ),
inference(superposition,[],[f995,f616]) ).
fof(f3513,plain,
( spl40_283
| ~ spl40_32
| ~ spl40_39
| ~ spl40_103 ),
inference(avatar_split_clause,[],[f1168,f990,f645,f605,f3511]) ).
fof(f3511,plain,
( spl40_283
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| gt(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_283])]) ).
fof(f990,plain,
( spl40_103
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_103])]) ).
fof(f1168,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| gt(X0,tptp_minus_1) )
| ~ spl40_32
| ~ spl40_39
| ~ spl40_103 ),
inference(forward_demodulation,[],[f1161,f647]) ).
fof(f1161,plain,
( ! [X0] :
( ~ leq(n0,X0)
| gt(X0,tptp_minus_1) )
| ~ spl40_32
| ~ spl40_103 ),
inference(superposition,[],[f991,f607]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ leq(plus(X0,n1),X1)
| gt(X1,X0) )
| ~ spl40_103 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f3509,plain,
( spl40_282
| ~ spl40_31
| ~ spl40_39
| ~ spl40_103 ),
inference(avatar_split_clause,[],[f1167,f990,f645,f600,f3507]) ).
fof(f3507,plain,
( spl40_282
<=> ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ leq(n1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_282])]) ).
fof(f1167,plain,
( ! [X0] :
( gt(X0,tptp_float_0_0)
| ~ leq(n1,X0) )
| ~ spl40_31
| ~ spl40_39
| ~ spl40_103 ),
inference(forward_demodulation,[],[f1160,f647]) ).
fof(f1160,plain,
( ! [X0] :
( ~ leq(n1,X0)
| gt(X0,n0) )
| ~ spl40_31
| ~ spl40_103 ),
inference(superposition,[],[f991,f602]) ).
fof(f3501,plain,
( spl40_281
| ~ spl40_242
| ~ spl40_280 ),
inference(avatar_split_clause,[],[f3497,f3494,f2940,f3499]) ).
fof(f3499,plain,
( spl40_281
<=> ! [X0] :
( gt(X0,n5)
| ~ leq(n5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_281])]) ).
fof(f3494,plain,
( spl40_280
<=> ! [X0] :
( ~ leq(n5,X0)
| gt(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_280])]) ).
fof(f3497,plain,
( ! [X0] :
( gt(X0,n5)
| ~ leq(n5,X0) )
| ~ spl40_242
| ~ spl40_280 ),
inference(forward_demodulation,[],[f3495,f2942]) ).
fof(f3495,plain,
( ! [X0] :
( ~ leq(n5,X0)
| gt(X0,n4) )
| ~ spl40_280 ),
inference(avatar_component_clause,[],[f3494]) ).
fof(f3496,plain,
( spl40_280
| ~ spl40_37
| ~ spl40_103 ),
inference(avatar_split_clause,[],[f1165,f990,f629,f3494]) ).
fof(f1165,plain,
( ! [X0] :
( ~ leq(n5,X0)
| gt(X0,n4) )
| ~ spl40_37
| ~ spl40_103 ),
inference(superposition,[],[f991,f631]) ).
fof(f3490,plain,
( spl40_279
| ~ spl40_36
| ~ spl40_103 ),
inference(avatar_split_clause,[],[f1164,f990,f624,f3488]) ).
fof(f3488,plain,
( spl40_279
<=> ! [X0] :
( ~ leq(n4,X0)
| gt(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_279])]) ).
fof(f1164,plain,
( ! [X0] :
( ~ leq(n4,X0)
| gt(X0,n3) )
| ~ spl40_36
| ~ spl40_103 ),
inference(superposition,[],[f991,f626]) ).
fof(f3486,plain,
( ~ spl40_278
| ~ spl40_35
| ~ spl40_240
| ~ spl40_257 ),
inference(avatar_split_clause,[],[f3241,f3016,f2930,f619,f3483]) ).
fof(f3483,plain,
( spl40_278
<=> leq(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_278])]) ).
fof(f3016,plain,
( spl40_257
<=> ! [X0] : ~ leq(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_257])]) ).
fof(f3241,plain,
( ~ leq(n5,n2)
| ~ spl40_35
| ~ spl40_240
| ~ spl40_257 ),
inference(forward_demodulation,[],[f3227,f2932]) ).
fof(f3227,plain,
( ~ leq(n3,n2)
| ~ spl40_35
| ~ spl40_257 ),
inference(superposition,[],[f3017,f621]) ).
fof(f3017,plain,
( ! [X0] : ~ leq(plus(X0,n1),X0)
| ~ spl40_257 ),
inference(avatar_component_clause,[],[f3016]) ).
fof(f3474,plain,
( spl40_277
| ~ spl40_242
| ~ spl40_253
| ~ spl40_276 ),
inference(avatar_split_clause,[],[f3470,f3466,f2998,f2940,f3472]) ).
fof(f3472,plain,
( spl40_277
<=> ! [X0] :
( ~ leq(n5,X0)
| gt(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_277])]) ).
fof(f3466,plain,
( spl40_276
<=> ! [X0] :
( ~ leq(n3,X0)
| gt(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_276])]) ).
fof(f3470,plain,
( ! [X0] :
( ~ leq(n5,X0)
| gt(X0,n2) )
| ~ spl40_242
| ~ spl40_253
| ~ spl40_276 ),
inference(forward_demodulation,[],[f3469,f2942]) ).
fof(f3469,plain,
( ! [X0] :
( ~ leq(n4,X0)
| gt(X0,n2) )
| ~ spl40_253
| ~ spl40_276 ),
inference(forward_demodulation,[],[f3467,f3000]) ).
fof(f3467,plain,
( ! [X0] :
( ~ leq(n3,X0)
| gt(X0,n2) )
| ~ spl40_276 ),
inference(avatar_component_clause,[],[f3466]) ).
fof(f3468,plain,
( spl40_276
| ~ spl40_35
| ~ spl40_103 ),
inference(avatar_split_clause,[],[f1163,f990,f619,f3466]) ).
fof(f1163,plain,
( ! [X0] :
( ~ leq(n3,X0)
| gt(X0,n2) )
| ~ spl40_35
| ~ spl40_103 ),
inference(superposition,[],[f991,f621]) ).
fof(f3464,plain,
( spl40_275
| ~ spl40_34
| ~ spl40_103 ),
inference(avatar_split_clause,[],[f1162,f990,f614,f3462]) ).
fof(f3462,plain,
( spl40_275
<=> ! [X0] :
( ~ leq(n2,X0)
| gt(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_275])]) ).
fof(f1162,plain,
( ! [X0] :
( ~ leq(n2,X0)
| gt(X0,n1) )
| ~ spl40_34
| ~ spl40_103 ),
inference(superposition,[],[f991,f616]) ).
fof(f3460,plain,
( spl40_274
| ~ spl40_32
| ~ spl40_39
| ~ spl40_102 ),
inference(avatar_split_clause,[],[f1156,f986,f645,f605,f3458]) ).
fof(f3458,plain,
( spl40_274
<=> ! [X0] :
( leq(X0,tptp_float_0_0)
| ~ leq(X0,tptp_minus_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_274])]) ).
fof(f986,plain,
( spl40_102
<=> ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_102])]) ).
fof(f1156,plain,
( ! [X0] :
( leq(X0,tptp_float_0_0)
| ~ leq(X0,tptp_minus_1) )
| ~ spl40_32
| ~ spl40_39
| ~ spl40_102 ),
inference(forward_demodulation,[],[f1149,f647]) ).
fof(f1149,plain,
( ! [X0] :
( leq(X0,n0)
| ~ leq(X0,tptp_minus_1) )
| ~ spl40_32
| ~ spl40_102 ),
inference(superposition,[],[f987,f607]) ).
fof(f987,plain,
( ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) )
| ~ spl40_102 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f3456,plain,
( spl40_273
| ~ spl40_31
| ~ spl40_39
| ~ spl40_102 ),
inference(avatar_split_clause,[],[f1155,f986,f645,f600,f3454]) ).
fof(f3454,plain,
( spl40_273
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_273])]) ).
fof(f1155,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n1) )
| ~ spl40_31
| ~ spl40_39
| ~ spl40_102 ),
inference(forward_demodulation,[],[f1148,f647]) ).
fof(f1148,plain,
( ! [X0] :
( leq(X0,n1)
| ~ leq(X0,n0) )
| ~ spl40_31
| ~ spl40_102 ),
inference(superposition,[],[f987,f602]) ).
fof(f3451,plain,
( spl40_272
| ~ spl40_37
| ~ spl40_102 ),
inference(avatar_split_clause,[],[f1153,f986,f629,f3449]) ).
fof(f3449,plain,
( spl40_272
<=> ! [X0] :
( leq(X0,n5)
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_272])]) ).
fof(f1153,plain,
( ! [X0] :
( leq(X0,n5)
| ~ leq(X0,n4) )
| ~ spl40_37
| ~ spl40_102 ),
inference(superposition,[],[f987,f631]) ).
fof(f3446,plain,
( spl40_271
| ~ spl40_36
| ~ spl40_102 ),
inference(avatar_split_clause,[],[f1152,f986,f624,f3444]) ).
fof(f3444,plain,
( spl40_271
<=> ! [X0] :
( leq(X0,n4)
| ~ leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_271])]) ).
fof(f1152,plain,
( ! [X0] :
( leq(X0,n4)
| ~ leq(X0,n3) )
| ~ spl40_36
| ~ spl40_102 ),
inference(superposition,[],[f987,f626]) ).
fof(f3441,plain,
( spl40_270
| ~ spl40_35
| ~ spl40_102 ),
inference(avatar_split_clause,[],[f1151,f986,f619,f3439]) ).
fof(f3439,plain,
( spl40_270
<=> ! [X0] :
( leq(X0,n3)
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_270])]) ).
fof(f1151,plain,
( ! [X0] :
( leq(X0,n3)
| ~ leq(X0,n2) )
| ~ spl40_35
| ~ spl40_102 ),
inference(superposition,[],[f987,f621]) ).
fof(f3437,plain,
( spl40_269
| ~ spl40_34
| ~ spl40_102 ),
inference(avatar_split_clause,[],[f1150,f986,f614,f3435]) ).
fof(f3435,plain,
( spl40_269
<=> ! [X0] :
( leq(X0,n2)
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_269])]) ).
fof(f1150,plain,
( ! [X0] :
( leq(X0,n2)
| ~ leq(X0,n1) )
| ~ spl40_34
| ~ spl40_102 ),
inference(superposition,[],[f987,f616]) ).
fof(f3331,plain,
( ~ spl40_64
| spl40_268 ),
inference(avatar_contradiction_clause,[],[f3330]) ).
fof(f3330,plain,
( $false
| ~ spl40_64
| spl40_268 ),
inference(trivial_inequality_removal,[],[f3328]) ).
fof(f3328,plain,
( use != use
| ~ spl40_64
| spl40_268 ),
inference(superposition,[],[f3326,f816]) ).
fof(f816,plain,
( ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2
| ~ spl40_64 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f815,plain,
( spl40_64
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_64])]) ).
fof(f3326,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n5,use),n5,use),n5)
| spl40_268 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f3327,plain,
( ~ spl40_268
| spl40_178
| ~ spl40_242
| ~ spl40_253 ),
inference(avatar_split_clause,[],[f3320,f2998,f2940,f1882,f3324]) ).
fof(f3320,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n5,use),n5,use),n5)
| spl40_178
| ~ spl40_242
| ~ spl40_253 ),
inference(forward_demodulation,[],[f3319,f2942]) ).
fof(f3319,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n4,use),n5,use),n5,use),n5)
| spl40_178
| ~ spl40_242
| ~ spl40_253 ),
inference(forward_demodulation,[],[f3318,f3000]) ).
fof(f3316,plain,
( ~ spl40_64
| spl40_267 ),
inference(avatar_contradiction_clause,[],[f3315]) ).
fof(f3315,plain,
( $false
| ~ spl40_64
| spl40_267 ),
inference(trivial_inequality_removal,[],[f3313]) ).
fof(f3313,plain,
( use != use
| ~ spl40_64
| spl40_267 ),
inference(superposition,[],[f3311,f816]) ).
fof(f3311,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n4,use),n4,use),n4)
| spl40_267 ),
inference(avatar_component_clause,[],[f3309]) ).
fof(f3309,plain,
( spl40_267
<=> use = a_select2(tptp_update2(tptp_update2(xinit_defuse,n4,use),n4,use),n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_267])]) ).
fof(f3312,plain,
( ~ spl40_267
| spl40_241
| ~ spl40_253 ),
inference(avatar_split_clause,[],[f3307,f2998,f2934,f3309]) ).
fof(f2934,plain,
( spl40_241
<=> use = a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_241])]) ).
fof(f3307,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n4,use),n4,use),n4)
| spl40_241
| ~ spl40_253 ),
inference(forward_demodulation,[],[f2936,f3000]) ).
fof(f2936,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3)
| spl40_241 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f3301,plain,
( spl40_266
| ~ spl40_14
| ~ spl40_240 ),
inference(avatar_split_clause,[],[f3180,f2930,f517,f3298]) ).
fof(f517,plain,
( spl40_14
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_14])]) ).
fof(f3180,plain,
( gt(n5,n5)
| ~ spl40_14
| ~ spl40_240 ),
inference(superposition,[],[f519,f2932]) ).
fof(f519,plain,
( gt(n5,n3)
| ~ spl40_14 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f3178,plain,
( ~ spl40_64
| spl40_254 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3177,plain,
( $false
| ~ spl40_64
| spl40_254 ),
inference(trivial_inequality_removal,[],[f3175]) ).
fof(f3175,plain,
( use != use
| ~ spl40_64
| spl40_254 ),
inference(superposition,[],[f3004,f816]) ).
fof(f3004,plain,
( use != a_select2(tptp_update2(xinit_defuse,n3,use),n3)
| spl40_254 ),
inference(avatar_component_clause,[],[f3002]) ).
fof(f3002,plain,
( spl40_254
<=> use = a_select2(tptp_update2(xinit_defuse,n3,use),n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_254])]) ).
fof(f3058,plain,
( spl40_265
| ~ spl40_35
| ~ spl40_36
| ~ spl40_149
| ~ spl40_150
| ~ spl40_152 ),
inference(avatar_split_clause,[],[f1500,f1278,f1269,f1265,f624,f619,f3055]) ).
fof(f3055,plain,
( spl40_265
<=> n4 = plus(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_265])]) ).
fof(f1265,plain,
( spl40_149
<=> ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_149])]) ).
fof(f1269,plain,
( spl40_150
<=> ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_150])]) ).
fof(f1500,plain,
( n4 = plus(n1,n3)
| ~ spl40_35
| ~ spl40_36
| ~ spl40_149
| ~ spl40_150
| ~ spl40_152 ),
inference(forward_demodulation,[],[f1486,f1453]) ).
fof(f1453,plain,
( n4 = plus(n2,n2)
| ~ spl40_35
| ~ spl40_36
| ~ spl40_149 ),
inference(forward_demodulation,[],[f1437,f626]) ).
fof(f1437,plain,
( plus(n3,n1) = plus(n2,n2)
| ~ spl40_35
| ~ spl40_149 ),
inference(superposition,[],[f1266,f621]) ).
fof(f1266,plain,
( ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1)
| ~ spl40_149 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1486,plain,
( plus(n1,n3) = plus(n2,n2)
| ~ spl40_150
| ~ spl40_152 ),
inference(superposition,[],[f1279,f1270]) ).
fof(f1270,plain,
( ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1)
| ~ spl40_150 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f3053,plain,
( spl40_264
| ~ spl40_36
| ~ spl40_37
| ~ spl40_150 ),
inference(avatar_split_clause,[],[f1482,f1269,f629,f624,f3050]) ).
fof(f3050,plain,
( spl40_264
<=> n5 = plus(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_264])]) ).
fof(f1482,plain,
( n5 = plus(n3,n2)
| ~ spl40_36
| ~ spl40_37
| ~ spl40_150 ),
inference(forward_demodulation,[],[f1462,f631]) ).
fof(f1462,plain,
( plus(n4,n1) = plus(n3,n2)
| ~ spl40_36
| ~ spl40_150 ),
inference(superposition,[],[f1270,f626]) ).
fof(f3048,plain,
( spl40_263
| ~ spl40_31
| ~ spl40_32
| ~ spl40_150 ),
inference(avatar_split_clause,[],[f1478,f1269,f605,f600,f3045]) ).
fof(f3045,plain,
( spl40_263
<=> n1 = plus(tptp_minus_1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_263])]) ).
fof(f1478,plain,
( n1 = plus(tptp_minus_1,n2)
| ~ spl40_31
| ~ spl40_32
| ~ spl40_150 ),
inference(forward_demodulation,[],[f1457,f602]) ).
fof(f1457,plain,
( plus(n0,n1) = plus(tptp_minus_1,n2)
| ~ spl40_32
| ~ spl40_150 ),
inference(superposition,[],[f1270,f607]) ).
fof(f3043,plain,
( spl40_262
| ~ spl40_31
| ~ spl40_34
| ~ spl40_39
| ~ spl40_150 ),
inference(avatar_split_clause,[],[f1477,f1269,f645,f614,f600,f3040]) ).
fof(f3040,plain,
( spl40_262
<=> n2 = plus(tptp_float_0_0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_262])]) ).
fof(f1477,plain,
( n2 = plus(tptp_float_0_0,n2)
| ~ spl40_31
| ~ spl40_34
| ~ spl40_39
| ~ spl40_150 ),
inference(forward_demodulation,[],[f1476,f616]) ).
fof(f1476,plain,
( plus(n1,n1) = plus(tptp_float_0_0,n2)
| ~ spl40_31
| ~ spl40_39
| ~ spl40_150 ),
inference(forward_demodulation,[],[f1456,f647]) ).
fof(f1456,plain,
( plus(n1,n1) = plus(n0,n2)
| ~ spl40_31
| ~ spl40_150 ),
inference(superposition,[],[f1270,f602]) ).
fof(f3038,plain,
( spl40_261
| ~ spl40_36
| ~ spl40_37
| ~ spl40_149 ),
inference(avatar_split_clause,[],[f1454,f1265,f629,f624,f3035]) ).
fof(f3035,plain,
( spl40_261
<=> n5 = plus(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_261])]) ).
fof(f1454,plain,
( n5 = plus(n2,n3)
| ~ spl40_36
| ~ spl40_37
| ~ spl40_149 ),
inference(forward_demodulation,[],[f1438,f631]) ).
fof(f1438,plain,
( plus(n4,n1) = plus(n2,n3)
| ~ spl40_36
| ~ spl40_149 ),
inference(superposition,[],[f1266,f626]) ).
fof(f3033,plain,
( spl40_260
| ~ spl40_35
| ~ spl40_36
| ~ spl40_149 ),
inference(avatar_split_clause,[],[f1453,f1265,f624,f619,f3030]) ).
fof(f3030,plain,
( spl40_260
<=> n4 = plus(n2,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_260])]) ).
fof(f3028,plain,
( spl40_259
| ~ spl40_31
| ~ spl40_32
| ~ spl40_149 ),
inference(avatar_split_clause,[],[f1451,f1265,f605,f600,f3025]) ).
fof(f1451,plain,
( n1 = plus(n2,tptp_minus_1)
| ~ spl40_31
| ~ spl40_32
| ~ spl40_149 ),
inference(forward_demodulation,[],[f1435,f602]) ).
fof(f1435,plain,
( plus(n0,n1) = plus(n2,tptp_minus_1)
| ~ spl40_32
| ~ spl40_149 ),
inference(superposition,[],[f1266,f607]) ).
fof(f3023,plain,
( spl40_258
| ~ spl40_31
| ~ spl40_34
| ~ spl40_39
| ~ spl40_149 ),
inference(avatar_split_clause,[],[f1450,f1265,f645,f614,f600,f3020]) ).
fof(f3020,plain,
( spl40_258
<=> n2 = plus(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_258])]) ).
fof(f1450,plain,
( n2 = plus(n2,tptp_float_0_0)
| ~ spl40_31
| ~ spl40_34
| ~ spl40_39
| ~ spl40_149 ),
inference(forward_demodulation,[],[f1449,f616]) ).
fof(f1449,plain,
( plus(n1,n1) = plus(n2,tptp_float_0_0)
| ~ spl40_31
| ~ spl40_39
| ~ spl40_149 ),
inference(forward_demodulation,[],[f1434,f647]) ).
fof(f1434,plain,
( plus(n1,n1) = plus(n2,n0)
| ~ spl40_31
| ~ spl40_149 ),
inference(superposition,[],[f1266,f602]) ).
fof(f3018,plain,
( spl40_257
| ~ spl40_29
| ~ spl40_105 ),
inference(avatar_split_clause,[],[f1181,f998,f592,f3016]) ).
fof(f1181,plain,
( ! [X0] : ~ leq(plus(X0,n1),X0)
| ~ spl40_29
| ~ spl40_105 ),
inference(resolution,[],[f999,f593]) ).
fof(f3014,plain,
( spl40_256
| ~ spl40_31
| ~ spl40_39
| ~ spl40_46 ),
inference(avatar_split_clause,[],[f732,f714,f645,f600,f3011]) ).
fof(f3011,plain,
( spl40_256
<=> n1 = plus(n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_256])]) ).
fof(f714,plain,
( spl40_46
<=> ! [X0] : plus(X0,n1) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_46])]) ).
fof(f732,plain,
( n1 = plus(n1,tptp_float_0_0)
| ~ spl40_31
| ~ spl40_39
| ~ spl40_46 ),
inference(forward_demodulation,[],[f726,f647]) ).
fof(f726,plain,
( n1 = plus(n1,n0)
| ~ spl40_31
| ~ spl40_46 ),
inference(superposition,[],[f715,f602]) ).
fof(f715,plain,
( ! [X0] : plus(X0,n1) = plus(n1,X0)
| ~ spl40_46 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f3009,plain,
( spl40_255
| ~ spl40_33
| ~ spl40_46 ),
inference(avatar_split_clause,[],[f729,f714,f610,f3007]) ).
fof(f3007,plain,
( spl40_255
<=> ! [X0] : gt(plus(n1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_255])]) ).
fof(f610,plain,
( spl40_33
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_33])]) ).
fof(f729,plain,
( ! [X0] : gt(plus(n1,X0),X0)
| ~ spl40_33
| ~ spl40_46 ),
inference(superposition,[],[f611,f715]) ).
fof(f611,plain,
( ! [X0] : gt(plus(X0,n1),X0)
| ~ spl40_33 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f3005,plain,
( spl40_253
| ~ spl40_254
| ~ spl40_176
| spl40_241 ),
inference(avatar_split_clause,[],[f2938,f2934,f1872,f3002,f2998]) ).
fof(f1872,plain,
( spl40_176
<=> ! [X2,X4,X0,X1] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_176])]) ).
fof(f2938,plain,
( use != a_select2(tptp_update2(xinit_defuse,n3,use),n3)
| n3 = n4
| ~ spl40_176
| spl40_241 ),
inference(superposition,[],[f2936,f1873]) ).
fof(f1873,plain,
( ! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 )
| ~ spl40_176 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f2996,plain,
( spl40_252
| ~ spl40_33
| ~ spl40_45 ),
inference(avatar_split_clause,[],[f725,f710,f610,f2994]) ).
fof(f2994,plain,
( spl40_252
<=> ! [X0] : gt(X0,minus(X0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_252])]) ).
fof(f710,plain,
( spl40_45
<=> ! [X0] : plus(minus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_45])]) ).
fof(f725,plain,
( ! [X0] : gt(X0,minus(X0,n1))
| ~ spl40_33
| ~ spl40_45 ),
inference(superposition,[],[f611,f711]) ).
fof(f711,plain,
( ! [X0] : plus(minus(X0,n1),n1) = X0
| ~ spl40_45 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f2992,plain,
( spl40_251
| ~ spl40_32
| ~ spl40_39
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f724,f706,f645,f605,f2989]) ).
fof(f2989,plain,
( spl40_251
<=> tptp_minus_1 = minus(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_251])]) ).
fof(f706,plain,
( spl40_44
<=> ! [X0] : minus(plus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_44])]) ).
fof(f724,plain,
( tptp_minus_1 = minus(tptp_float_0_0,n1)
| ~ spl40_32
| ~ spl40_39
| ~ spl40_44 ),
inference(forward_demodulation,[],[f718,f647]) ).
fof(f718,plain,
( tptp_minus_1 = minus(n0,n1)
| ~ spl40_32
| ~ spl40_44 ),
inference(superposition,[],[f707,f607]) ).
fof(f707,plain,
( ! [X0] : minus(plus(X0,n1),n1) = X0
| ~ spl40_44 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f2987,plain,
( spl40_250
| ~ spl40_31
| ~ spl40_39
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f723,f706,f645,f600,f2984]) ).
fof(f2984,plain,
( spl40_250
<=> tptp_float_0_0 = minus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_250])]) ).
fof(f723,plain,
( tptp_float_0_0 = minus(n1,n1)
| ~ spl40_31
| ~ spl40_39
| ~ spl40_44 ),
inference(forward_demodulation,[],[f717,f647]) ).
fof(f717,plain,
( n0 = minus(n1,n1)
| ~ spl40_31
| ~ spl40_44 ),
inference(superposition,[],[f707,f602]) ).
fof(f2982,plain,
( spl40_249
| ~ spl40_37
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f722,f706,f629,f2979]) ).
fof(f722,plain,
( n4 = minus(n5,n1)
| ~ spl40_37
| ~ spl40_44 ),
inference(superposition,[],[f707,f631]) ).
fof(f2977,plain,
( spl40_248
| ~ spl40_36
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f721,f706,f624,f2974]) ).
fof(f721,plain,
( n3 = minus(n4,n1)
| ~ spl40_36
| ~ spl40_44 ),
inference(superposition,[],[f707,f626]) ).
fof(f2972,plain,
( spl40_247
| ~ spl40_35
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f720,f706,f619,f2969]) ).
fof(f2969,plain,
( spl40_247
<=> n2 = minus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_247])]) ).
fof(f720,plain,
( n2 = minus(n3,n1)
| ~ spl40_35
| ~ spl40_44 ),
inference(superposition,[],[f707,f621]) ).
fof(f2967,plain,
( spl40_246
| ~ spl40_34
| ~ spl40_44 ),
inference(avatar_split_clause,[],[f719,f706,f614,f2964]) ).
fof(f2964,plain,
( spl40_246
<=> n1 = minus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_246])]) ).
fof(f719,plain,
( n1 = minus(n2,n1)
| ~ spl40_34
| ~ spl40_44 ),
inference(superposition,[],[f707,f616]) ).
fof(f2962,plain,
( spl40_245
| ~ spl40_33
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f677,f670,f610,f2960]) ).
fof(f2960,plain,
( spl40_245
<=> ! [X0] : leq(X0,plus(X0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_245])]) ).
fof(f670,plain,
( spl40_42
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_42])]) ).
fof(f677,plain,
( ! [X0] : leq(X0,plus(X0,n1))
| ~ spl40_33
| ~ spl40_42 ),
inference(resolution,[],[f671,f611]) ).
fof(f671,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl40_42 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f2958,plain,
( spl40_244
| ~ spl40_31
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f658,f645,f600,f2955]) ).
fof(f2955,plain,
( spl40_244
<=> n1 = plus(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_244])]) ).
fof(f658,plain,
( n1 = plus(tptp_float_0_0,n1)
| ~ spl40_31
| ~ spl40_39 ),
inference(superposition,[],[f602,f647]) ).
fof(f2951,plain,
( ~ spl40_64
| spl40_243 ),
inference(avatar_contradiction_clause,[],[f2950]) ).
fof(f2950,plain,
( $false
| ~ spl40_64
| spl40_243 ),
inference(trivial_inequality_removal,[],[f2948]) ).
fof(f2948,plain,
( use != use
| ~ spl40_64
| spl40_243 ),
inference(superposition,[],[f2946,f816]) ).
fof(f2946,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n4)
| spl40_243 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f2944,plain,
( spl40_243
<=> use = a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_243])]) ).
fof(f2947,plain,
( spl40_242
| ~ spl40_243
| ~ spl40_176
| spl40_178 ),
inference(avatar_split_clause,[],[f1891,f1882,f1872,f2944,f2940]) ).
fof(f1891,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n4)
| n4 = n5
| ~ spl40_176
| spl40_178 ),
inference(superposition,[],[f1884,f1873]) ).
fof(f2937,plain,
( spl40_240
| ~ spl40_241
| ~ spl40_176
| spl40_177 ),
inference(avatar_split_clause,[],[f1890,f1878,f1872,f2934,f2930]) ).
fof(f1878,plain,
( spl40_177
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_177])]) ).
fof(f1890,plain,
( use != a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3)
| n3 = n5
| ~ spl40_176
| spl40_177 ),
inference(superposition,[],[f1880,f1873]) ).
fof(f1880,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
| spl40_177 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f2747,plain,
( spl40_239
| ~ spl40_28
| ~ spl40_39
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f704,f670,f645,f587,f2744]) ).
fof(f2744,plain,
( spl40_239
<=> leq(tptp_minus_1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_239])]) ).
fof(f587,plain,
( spl40_28
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_28])]) ).
fof(f704,plain,
( leq(tptp_minus_1,tptp_float_0_0)
| ~ spl40_28
| ~ spl40_39
| ~ spl40_42 ),
inference(forward_demodulation,[],[f683,f647]) ).
fof(f683,plain,
( leq(tptp_minus_1,n0)
| ~ spl40_28
| ~ spl40_42 ),
inference(resolution,[],[f671,f589]) ).
fof(f589,plain,
( gt(n0,tptp_minus_1)
| ~ spl40_28 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f2742,plain,
( spl40_238
| ~ spl40_15
| ~ spl40_39
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f703,f670,f645,f522,f2739]) ).
fof(f2739,plain,
( spl40_238
<=> leq(tptp_float_0_0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_238])]) ).
fof(f522,plain,
( spl40_15
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
fof(f703,plain,
( leq(tptp_float_0_0,n5)
| ~ spl40_15
| ~ spl40_39
| ~ spl40_42 ),
inference(forward_demodulation,[],[f682,f647]) ).
fof(f682,plain,
( leq(n0,n5)
| ~ spl40_15
| ~ spl40_42 ),
inference(resolution,[],[f671,f524]) ).
fof(f524,plain,
( gt(n5,n0)
| ~ spl40_15 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f2737,plain,
( spl40_237
| ~ spl40_21
| ~ spl40_39
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f702,f670,f645,f552,f2734]) ).
fof(f2734,plain,
( spl40_237
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_237])]) ).
fof(f552,plain,
( spl40_21
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
fof(f702,plain,
( leq(tptp_float_0_0,n4)
| ~ spl40_21
| ~ spl40_39
| ~ spl40_42 ),
inference(forward_demodulation,[],[f681,f647]) ).
fof(f681,plain,
( leq(n0,n4)
| ~ spl40_21
| ~ spl40_42 ),
inference(resolution,[],[f671,f554]) ).
fof(f554,plain,
( gt(n4,n0)
| ~ spl40_21 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f2732,plain,
( spl40_236
| ~ spl40_26
| ~ spl40_39
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f701,f670,f645,f577,f2729]) ).
fof(f2729,plain,
( spl40_236
<=> leq(tptp_float_0_0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_236])]) ).
fof(f577,plain,
( spl40_26
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_26])]) ).
fof(f701,plain,
( leq(tptp_float_0_0,n3)
| ~ spl40_26
| ~ spl40_39
| ~ spl40_42 ),
inference(forward_demodulation,[],[f680,f647]) ).
fof(f680,plain,
( leq(n0,n3)
| ~ spl40_26
| ~ spl40_42 ),
inference(resolution,[],[f671,f579]) ).
fof(f579,plain,
( gt(n3,n0)
| ~ spl40_26 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f2697,plain,
( spl40_235
| ~ spl40_39
| ~ spl40_234 ),
inference(avatar_split_clause,[],[f2693,f2689,f645,f2695]) ).
fof(f2695,plain,
( spl40_235
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X8)
| ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_235])]) ).
fof(f2689,plain,
( spl40_234
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_234])]) ).
fof(f2693,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X8)
| ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl40_39
| ~ spl40_234 ),
inference(forward_demodulation,[],[f2692,f647]) ).
fof(f2692,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ leq(tptp_float_0_0,X9)
| a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl40_39
| ~ spl40_234 ),
inference(forward_demodulation,[],[f2690,f647]) ).
fof(f2690,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) )
| ~ spl40_234 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f2691,plain,
spl40_234,
inference(avatar_split_clause,[],[f403,f2689]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8)
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X8,X9] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X8,X9) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X9,X8)
| ~ leq(X9,X6)
| ~ leq(n0,X9)
| ~ leq(X8,X6)
| ~ leq(n0,X8) )
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| sP12(X5,X6)
| sP11(X0,X6)
| sP10(X3,X7) ),
inference(definition_folding,[],[f161,f182,f181,f180]) ).
fof(f180,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f181,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f182,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X14,X15] :
( a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14)
| ~ leq(X15,X6)
| ~ leq(n0,X15)
| ~ leq(X14,X6)
| ~ leq(n0,X14) )
| ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) ) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ! [X8,X9] :
( ( leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
=> a_select3(X5,X8,X9) = a_select3(X5,X9,X8) )
& ! [X10,X11] :
( ( leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
=> a_select3(X0,X10,X11) = a_select3(X0,X11,X10) )
& ! [X12,X13] :
( ( leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
=> a_select3(X3,X12,X13) = a_select3(X3,X13,X12) ) )
=> ! [X14,X15] :
( ( leq(X15,X6)
& leq(n0,X15)
& leq(X14,X6)
& leq(n0,X14) )
=> a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X14,X15) = a_select3(tptp_madd(X0,tptp_mmul(X1,tptp_mmul(tptp_madd(tptp_mmul(X2,tptp_mmul(X3,trans(X2))),tptp_mmul(X4,tptp_mmul(X5,trans(X4)))),trans(X1)))),X15,X14) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X13,X17,X3,X19,X20,X21,X14,X18] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X21,X4,X10) = a_select3(X21,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X19,X4,X10) = a_select3(X19,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X4,X10) = a_select3(tptp_madd(X13,tptp_mmul(X17,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X19,trans(X3))),tptp_mmul(X20,tptp_mmul(X21,trans(X20)))),trans(X17)))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_joseph_update) ).
fof(f2657,plain,
( spl40_233
| ~ spl40_39
| ~ spl40_232 ),
inference(avatar_split_clause,[],[f2653,f2648,f645,f2655]) ).
fof(f2655,plain,
( spl40_233
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_233])]) ).
fof(f2648,plain,
( spl40_232
<=> ! [X3,X4,X0,X5,X2,X1] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_232])]) ).
fof(f2653,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP2(X0,X1) )
| ~ spl40_39
| ~ spl40_232 ),
inference(forward_demodulation,[],[f2652,f647]) ).
fof(f2652,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl40_39
| ~ spl40_232 ),
inference(forward_demodulation,[],[f2651,f647]) ).
fof(f2651,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl40_39
| ~ spl40_232 ),
inference(forward_demodulation,[],[f2649,f647]) ).
fof(f2649,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) )
| ~ spl40_232 ),
inference(avatar_component_clause,[],[f2648]) ).
fof(f2650,plain,
spl40_232,
inference(avatar_split_clause,[],[f330,f2648]) ).
fof(f330,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP2(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ! [X2,X3,X4,X5] :
( a_select3(tptp_update3(X0,X4,X4,X5),X2,X3) = a_select3(tptp_update3(X0,X4,X4,X5),X3,X2)
| ~ leq(X4,X1)
| ~ leq(n0,X4)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP2(X0,X1) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP2(X0,X1) ),
inference(definition_folding,[],[f135,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X4,X5,X6,X7] :
( a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4)
| ~ leq(X6,X1)
| ~ leq(n0,X6)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5,X6,X7] :
( ( leq(X6,X1)
& leq(n0,X6)
& leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(tptp_update3(X0,X6,X6,X7),X4,X5) = a_select3(tptp_update3(X0,X6,X6,X7),X5,X4) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10,X15,X16] :
( ( leq(X15,X14)
& leq(n0,X15)
& leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_update3(X13,X15,X15,X16),X4,X10) = a_select3(tptp_update3(X13,X15,X15,X16),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_update_diagonal) ).
fof(f2616,plain,
( spl40_231
| ~ spl40_16
| ~ spl40_39
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f700,f670,f645,f527,f2613]) ).
fof(f2613,plain,
( spl40_231
<=> leq(tptp_float_0_0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_231])]) ).
fof(f527,plain,
( spl40_16
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
fof(f700,plain,
( leq(tptp_float_0_0,n2)
| ~ spl40_16
| ~ spl40_39
| ~ spl40_42 ),
inference(forward_demodulation,[],[f679,f647]) ).
fof(f679,plain,
( leq(n0,n2)
| ~ spl40_16
| ~ spl40_42 ),
inference(resolution,[],[f671,f529]) ).
fof(f529,plain,
( gt(n2,n0)
| ~ spl40_16 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f2581,plain,
( spl40_230
| ~ spl40_39
| ~ spl40_228 ),
inference(avatar_split_clause,[],[f2573,f2569,f645,f2579]) ).
fof(f2579,plain,
( spl40_230
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ leq(tptp_float_0_0,X4)
| ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| sP8(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_230])]) ).
fof(f2569,plain,
( spl40_228
<=> ! [X2,X3,X4,X0,X5,X1] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_228])]) ).
fof(f2573,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X4)
| ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| sP8(X1,X3) )
| ~ spl40_39
| ~ spl40_228 ),
inference(forward_demodulation,[],[f2572,f647]) ).
fof(f2572,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X5)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) )
| ~ spl40_39
| ~ spl40_228 ),
inference(forward_demodulation,[],[f2570,f647]) ).
fof(f2570,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) )
| ~ spl40_228 ),
inference(avatar_component_clause,[],[f2569]) ).
fof(f2577,plain,
( spl40_229
| ~ spl40_39
| ~ spl40_227 ),
inference(avatar_split_clause,[],[f2567,f2563,f645,f2575]) ).
fof(f2575,plain,
( spl40_229
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_229])]) ).
fof(f2563,plain,
( spl40_227
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_227])]) ).
fof(f2567,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP7(X1,X2) )
| ~ spl40_39
| ~ spl40_227 ),
inference(forward_demodulation,[],[f2566,f647]) ).
fof(f2566,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) )
| ~ spl40_39
| ~ spl40_227 ),
inference(forward_demodulation,[],[f2564,f647]) ).
fof(f2564,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) )
| ~ spl40_227 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f2571,plain,
spl40_228,
inference(avatar_split_clause,[],[f378,f2569]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| sP8(X1,X3) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X5) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X4)
| ~ leq(X5,X2)
| ~ leq(n0,X5)
| ~ leq(X4,X2)
| ~ leq(n0,X4) )
| sP8(X1,X3) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| sP8(X1,X3) ),
inference(definition_folding,[],[f151,f176]) ).
fof(f176,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ! [X6,X7] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6)
| ~ leq(X7,X2)
| ~ leq(n0,X7)
| ~ leq(X6,X2)
| ~ leq(n0,X6) )
| ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( ( leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
=> a_select3(X1,X4,X5) = a_select3(X1,X5,X4) )
=> ! [X6,X7] :
( ( leq(X7,X2)
& leq(n0,X7)
& leq(X6,X2)
& leq(n0,X6) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X7) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X7,X6) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X13,X17,X14,X18] :
( ! [X4,X10] :
( ( leq(X10,X18)
& leq(n0,X10)
& leq(X4,X18)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba2) ).
fof(f2565,plain,
spl40_227,
inference(avatar_split_clause,[],[f367,f2563]) ).
fof(f367,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP7(X1,X2) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X3,X4) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP7(X1,X2) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| sP7(X1,X2) ),
inference(definition_folding,[],[f145,f174]) ).
fof(f174,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ! [X5,X6] :
( a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5)
| ~ leq(X6,X2)
| ~ leq(n0,X6)
| ~ leq(X5,X2)
| ~ leq(n0,X5) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
=> ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X5,X6) = a_select3(tptp_mmul(X0,tptp_mmul(X1,trans(X0))),X6,X5) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X13,X17,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X4,X10) = a_select3(tptp_mmul(X13,tptp_mmul(X17,trans(X13))),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_aba1) ).
fof(f2501,plain,
( spl40_226
| ~ spl40_39
| ~ spl40_224 ),
inference(avatar_split_clause,[],[f2493,f2489,f645,f2499]) ).
fof(f2499,plain,
( spl40_226
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP6(X1,X2)
| sP5(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_226])]) ).
fof(f2489,plain,
( spl40_224
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_224])]) ).
fof(f2493,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl40_39
| ~ spl40_224 ),
inference(forward_demodulation,[],[f2492,f647]) ).
fof(f2492,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl40_39
| ~ spl40_224 ),
inference(forward_demodulation,[],[f2490,f647]) ).
fof(f2490,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) )
| ~ spl40_224 ),
inference(avatar_component_clause,[],[f2489]) ).
fof(f2497,plain,
( spl40_225
| ~ spl40_39
| ~ spl40_222 ),
inference(avatar_split_clause,[],[f2482,f2478,f645,f2495]) ).
fof(f2495,plain,
( spl40_225
<=> ! [X2,X4,X0,X3,X1] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP4(X1,X2)
| sP3(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_225])]) ).
fof(f2478,plain,
( spl40_222
<=> ! [X2,X4,X0,X3,X1] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_222])]) ).
fof(f2482,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X3)
| ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl40_39
| ~ spl40_222 ),
inference(forward_demodulation,[],[f2481,f647]) ).
fof(f2481,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(tptp_float_0_0,X4)
| a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl40_39
| ~ spl40_222 ),
inference(forward_demodulation,[],[f2479,f647]) ).
fof(f2479,plain,
( ! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) )
| ~ spl40_222 ),
inference(avatar_component_clause,[],[f2478]) ).
fof(f2491,plain,
spl40_224,
inference(avatar_split_clause,[],[f361,f2489]) ).
fof(f361,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_madd(X0,X1),X3,X4) = a_select3(tptp_madd(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| sP6(X1,X2)
| sP5(X0,X2) ),
inference(definition_folding,[],[f143,f172,f171]) ).
fof(f171,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f172,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_madd(X0,X1),X7,X8) = a_select3(tptp_madd(X0,X1),X8,X7) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_madd(X13,X17),X4,X10) = a_select3(tptp_madd(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_add) ).
fof(f2487,plain,
( spl40_223
| ~ spl40_27
| ~ spl40_39
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f699,f670,f645,f582,f2484]) ).
fof(f2484,plain,
( spl40_223
<=> leq(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_223])]) ).
fof(f582,plain,
( spl40_27
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_27])]) ).
fof(f699,plain,
( leq(tptp_float_0_0,n1)
| ~ spl40_27
| ~ spl40_39
| ~ spl40_42 ),
inference(forward_demodulation,[],[f678,f647]) ).
fof(f678,plain,
( leq(n0,n1)
| ~ spl40_27
| ~ spl40_42 ),
inference(resolution,[],[f671,f584]) ).
fof(f584,plain,
( gt(n1,n0)
| ~ spl40_27 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f2480,plain,
spl40_222,
inference(avatar_split_clause,[],[f350,f2478]) ).
fof(f350,plain,
! [X2,X3,X0,X1,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3)
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( a_select3(tptp_msub(X0,X1),X3,X4) = a_select3(tptp_msub(X0,X1),X4,X3)
| ~ leq(X4,X2)
| ~ leq(n0,X4)
| ~ leq(X3,X2)
| ~ leq(n0,X3) )
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| sP4(X1,X2)
| sP3(X0,X2) ),
inference(definition_folding,[],[f141,f169,f168]) ).
fof(f168,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f169,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ! [X7,X8] :
( a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7)
| ~ leq(X8,X2)
| ~ leq(n0,X8)
| ~ leq(X7,X2)
| ~ leq(n0,X7) )
| ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
=> a_select3(X1,X3,X4) = a_select3(X1,X4,X3) )
& ! [X5,X6] :
( ( leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
=> a_select3(X0,X5,X6) = a_select3(X0,X6,X5) ) )
=> ! [X7,X8] :
( ( leq(X8,X2)
& leq(n0,X8)
& leq(X7,X2)
& leq(n0,X7) )
=> a_select3(tptp_msub(X0,X1),X7,X8) = a_select3(tptp_msub(X0,X1),X8,X7) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X13,X17,X14] :
( ( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X17,X4,X10) = a_select3(X17,X10,X4) )
& ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) ) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(tptp_msub(X13,X17),X4,X10) = a_select3(tptp_msub(X13,X17),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_sub) ).
fof(f2446,plain,
( spl40_221
| ~ spl40_39
| ~ spl40_220 ),
inference(avatar_split_clause,[],[f2442,f2438,f645,f2444]) ).
fof(f2444,plain,
( spl40_221
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| sP9(X5,X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_221])]) ).
fof(f2438,plain,
( spl40_220
<=> ! [X2,X3,X4,X0,X5,X1] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_220])]) ).
fof(f2442,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| sP9(X5,X4,X3,X2) )
| ~ spl40_39
| ~ spl40_220 ),
inference(forward_demodulation,[],[f2441,f647]) ).
fof(f2441,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ leq(tptp_float_0_0,X1)
| a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) )
| ~ spl40_39
| ~ spl40_220 ),
inference(forward_demodulation,[],[f2439,f647]) ).
fof(f2439,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) )
| ~ spl40_220 ),
inference(avatar_component_clause,[],[f2438]) ).
fof(f2440,plain,
spl40_220,
inference(avatar_split_clause,[],[f385,f2438]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| sP9(X5,X4,X3,X2) ),
inference(definition_folding,[],[f155,f178]) ).
fof(f178,plain,
! [X5,X4,X3,X2] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP9(X5,X4,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5
| ~ leq(X1,X3)
| ~ leq(n0,X1)
| ~ leq(X0,X2)
| ~ leq(n0,X0)
| ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( leq(X1,X3)
& leq(n0,X1)
& leq(X0,X2)
& leq(n0,X0)
& ! [X6,X7] :
( ( leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(X4,X6,X7) = X5 ) )
=> a_select3(tptp_update3(X4,X2,X3,X5),X0,X1) = X5 ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X10,X6,X23,X0,X16] :
( ( leq(X10,X23)
& leq(n0,X10)
& leq(X4,X6)
& leq(n0,X4)
& ! [X25,X26] :
( ( leq(X26,X23)
& leq(X25,X6)
& leq(n0,X26)
& leq(n0,X25) )
=> a_select3(X0,X25,X26) = X16 ) )
=> a_select3(tptp_update3(X0,X6,X23,X16),X4,X10) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_3) ).
fof(f2376,plain,
( spl40_219
| ~ spl40_39
| ~ spl40_217 ),
inference(avatar_split_clause,[],[f2368,f2364,f645,f2374]) ).
fof(f2374,plain,
( spl40_219
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_219])]) ).
fof(f2364,plain,
( spl40_217
<=> ! [X0,X3,X2,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_217])]) ).
fof(f2368,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP1(X0,X1) )
| ~ spl40_39
| ~ spl40_217 ),
inference(forward_demodulation,[],[f2367,f647]) ).
fof(f2367,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X3)
| a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) )
| ~ spl40_39
| ~ spl40_217 ),
inference(forward_demodulation,[],[f2365,f647]) ).
fof(f2365,plain,
( ! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) )
| ~ spl40_217 ),
inference(avatar_component_clause,[],[f2364]) ).
fof(f2372,plain,
( spl40_218
| ~ spl40_39
| ~ spl40_216 ),
inference(avatar_split_clause,[],[f2362,f2358,f645,f2370]) ).
fof(f2370,plain,
( spl40_218
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_218])]) ).
fof(f2358,plain,
( spl40_216
<=> ! [X0,X3,X2,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_216])]) ).
fof(f2362,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X2)
| ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| sP0(X0,X1) )
| ~ spl40_39
| ~ spl40_216 ),
inference(forward_demodulation,[],[f2361,f647]) ).
fof(f2361,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X3)
| a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) )
| ~ spl40_39
| ~ spl40_216 ),
inference(forward_demodulation,[],[f2359,f647]) ).
fof(f2359,plain,
( ! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) )
| ~ spl40_216 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f2366,plain,
spl40_217,
inference(avatar_split_clause,[],[f324,f2364]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(trans(X0),X2,X3) = a_select3(trans(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP1(X0,X1) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP1(X0,X1) ),
inference(definition_folding,[],[f133,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f133,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(trans(X0),X4,X5) = a_select3(trans(X0),X5,X4) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(trans(X13),X4,X10) = a_select3(trans(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_trans) ).
fof(f2360,plain,
spl40_216,
inference(avatar_split_clause,[],[f318,f2358]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ! [X2,X3] :
( a_select3(inv(X0),X2,X3) = a_select3(inv(X0),X3,X2)
| ~ leq(X3,X1)
| ~ leq(n0,X3)
| ~ leq(X2,X1)
| ~ leq(n0,X2) )
| sP0(X0,X1) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| sP0(X0,X1) ),
inference(definition_folding,[],[f131,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f131,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X4,X5] :
( a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4)
| ~ leq(X5,X1)
| ~ leq(n0,X5)
| ~ leq(X4,X1)
| ~ leq(n0,X4) )
| ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> a_select3(X0,X2,X3) = a_select3(X0,X3,X2) )
=> ! [X4,X5] :
( ( leq(X5,X1)
& leq(n0,X5)
& leq(X4,X1)
& leq(n0,X4) )
=> a_select3(inv(X0),X4,X5) = a_select3(inv(X0),X5,X4) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X13,X14] :
( ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(X13,X4,X10) = a_select3(X13,X10,X4) )
=> ! [X4,X10] :
( ( leq(X10,X14)
& leq(n0,X10)
& leq(X4,X14)
& leq(n0,X4) )
=> a_select3(inv(X13),X4,X10) = a_select3(inv(X13),X10,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',matrix_symm_inv) ).
fof(f2356,plain,
( spl40_215
| ~ spl40_11
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f698,f670,f502,f2353]) ).
fof(f2353,plain,
( spl40_215
<=> leq(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_215])]) ).
fof(f502,plain,
( spl40_11
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_11])]) ).
fof(f698,plain,
( leq(n4,n5)
| ~ spl40_11
| ~ spl40_42 ),
inference(resolution,[],[f671,f504]) ).
fof(f504,plain,
( gt(n5,n4)
| ~ spl40_11 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f2293,plain,
spl40_214,
inference(avatar_split_clause,[],[f387,f2291]) ).
fof(f2291,plain,
( spl40_214
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_214])]) ).
fof(f387,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6
| ~ leq(X3,X5)
| ~ leq(X4,X3)
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( leq(X3,X5)
& leq(X4,X3)
& leq(X0,X2)
& leq(X1,X0) )
=> a_select3(tptp_const_array2(dim(X1,X2),dim(X4,X5),X6),X0,X3) = X6 ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X8,X9,X10,X11,X12,X7] :
( ( leq(X10,X12)
& leq(X11,X10)
& leq(X4,X9)
& leq(X8,X4) )
=> a_select3(tptp_const_array2(dim(X8,X9),dim(X11,X12),X7),X4,X10) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array2_select) ).
fof(f2259,plain,
( spl40_213
| ~ spl40_39
| ~ spl40_212 ),
inference(avatar_split_clause,[],[f2255,f2251,f645,f2257]) ).
fof(f2257,plain,
( spl40_213
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_213])]) ).
fof(f2251,plain,
( spl40_212
<=> ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_212])]) ).
fof(f2255,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5) )
| ~ spl40_39
| ~ spl40_212 ),
inference(forward_demodulation,[],[f2254,f647]) ).
fof(f2254,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl40_39
| ~ spl40_212 ),
inference(forward_demodulation,[],[f2252,f647]) ).
fof(f2252,plain,
( ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl40_212 ),
inference(avatar_component_clause,[],[f2251]) ).
fof(f2253,plain,
spl40_212,
inference(avatar_split_clause,[],[f300,f2251]) ).
fof(f300,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f2248,plain,
( spl40_211
| ~ spl40_39
| ~ spl40_210 ),
inference(avatar_split_clause,[],[f2244,f2241,f645,f2246]) ).
fof(f2246,plain,
( spl40_211
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| a_select2(X2,sK29(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_211])]) ).
fof(f2241,plain,
( spl40_210
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK29(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_210])]) ).
fof(f2244,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| a_select2(X2,sK29(X1,X2,X3)) != X3 )
| ~ spl40_39
| ~ spl40_210 ),
inference(forward_demodulation,[],[f2242,f647]) ).
fof(f2242,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK29(X1,X2,X3)) != X3 )
| ~ spl40_210 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f2243,plain,
spl40_210,
inference(avatar_split_clause,[],[f372,f2241]) ).
fof(f372,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK29(X1,X2,X3)) != X3 ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ( a_select2(X2,sK29(X1,X2,X3)) != X3
& leq(sK29(X1,X2,X3),X1)
& leq(n0,sK29(X1,X2,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f149,f222]) ).
fof(f222,plain,
! [X1,X2,X3] :
( ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) )
=> ( a_select2(X2,sK29(X1,X2,X3)) != X3
& leq(sK29(X1,X2,X3),X1)
& leq(n0,sK29(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) ) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X1)
& leq(n0,X0)
& ! [X4] :
( ( leq(X4,X1)
& leq(n0,X4) )
=> a_select2(X2,X4) = X3 ) )
=> a_select2(tptp_update2(X2,X1,X3),X0) = X3 ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4,X6,X0,X16] :
( ( leq(X4,X6)
& leq(n0,X4)
& ! [X25] :
( ( leq(X25,X6)
& leq(n0,X25) )
=> a_select2(X0,X25) = X16 ) )
=> a_select2(tptp_update2(X0,X6,X16),X4) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_3) ).
fof(f2209,plain,
( spl40_209
| ~ spl40_39
| ~ spl40_207 ),
inference(avatar_split_clause,[],[f2200,f2196,f645,f2207]) ).
fof(f2207,plain,
( spl40_209
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_209])]) ).
fof(f2196,plain,
( spl40_207
<=> ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_207])]) ).
fof(f2200,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) )
| ~ spl40_39
| ~ spl40_207 ),
inference(forward_demodulation,[],[f2199,f647]) ).
fof(f2199,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl40_39
| ~ spl40_207 ),
inference(forward_demodulation,[],[f2197,f647]) ).
fof(f2197,plain,
( ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl40_207 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2205,plain,
( spl40_208
| ~ spl40_20
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f697,f670,f547,f2202]) ).
fof(f2202,plain,
( spl40_208
<=> leq(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_208])]) ).
fof(f547,plain,
( spl40_20
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
fof(f697,plain,
( leq(n3,n4)
| ~ spl40_20
| ~ spl40_42 ),
inference(resolution,[],[f671,f549]) ).
fof(f549,plain,
( gt(n4,n3)
| ~ spl40_20 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f2198,plain,
spl40_207,
inference(avatar_split_clause,[],[f301,f2196]) ).
fof(f301,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f2134,plain,
( spl40_206
| ~ spl40_39
| ~ spl40_198 ),
inference(avatar_split_clause,[],[f2100,f2097,f645,f2132]) ).
fof(f2132,plain,
( spl40_206
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK29(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_206])]) ).
fof(f2097,plain,
( spl40_198
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK29(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_198])]) ).
fof(f2100,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK29(X1,X2,X3),X1) )
| ~ spl40_39
| ~ spl40_198 ),
inference(forward_demodulation,[],[f2098,f647]) ).
fof(f2098,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK29(X1,X2,X3),X1) )
| ~ spl40_198 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f2130,plain,
( spl40_205
| ~ spl40_39
| ~ spl40_197 ),
inference(avatar_split_clause,[],[f2095,f2091,f645,f2128]) ).
fof(f2128,plain,
( spl40_205
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK29(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_205])]) ).
fof(f2091,plain,
( spl40_197
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK29(X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_197])]) ).
fof(f2095,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK29(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) )
| ~ spl40_39
| ~ spl40_197 ),
inference(forward_demodulation,[],[f2094,f647]) ).
fof(f2094,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(n0,sK29(X1,X2,X3)) )
| ~ spl40_39
| ~ spl40_197 ),
inference(forward_demodulation,[],[f2092,f647]) ).
fof(f2092,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK29(X1,X2,X3)) )
| ~ spl40_197 ),
inference(avatar_component_clause,[],[f2091]) ).
fof(f2126,plain,
( spl40_204
| ~ spl40_14
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f696,f670,f517,f2123]) ).
fof(f2123,plain,
( spl40_204
<=> leq(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_204])]) ).
fof(f696,plain,
( leq(n3,n5)
| ~ spl40_14
| ~ spl40_42 ),
inference(resolution,[],[f671,f519]) ).
fof(f2121,plain,
spl40_203,
inference(avatar_split_clause,[],[f402,f2119]) ).
fof(f2119,plain,
( spl40_203
<=> ! [X0,X1] :
( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_203])]) ).
fof(f402,plain,
! [X0,X1] :
( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1)) )
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39])],[f242,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK38(X0,X1),sK39(X0,X1)) != a_select3(X0,sK39(X0,X1),sK38(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP10(X0,X1) ),
inference(rectify,[],[f241]) ).
fof(f241,plain,
! [X3,X7] :
( ? [X12,X13] :
( a_select3(X3,X12,X13) != a_select3(X3,X13,X12)
& leq(X13,X7)
& leq(n0,X13)
& leq(X12,X7)
& leq(n0,X12) )
| ~ sP10(X3,X7) ),
inference(nnf_transformation,[],[f180]) ).
fof(f2117,plain,
spl40_202,
inference(avatar_split_clause,[],[f397,f2115]) ).
fof(f2115,plain,
( spl40_202
<=> ! [X0,X1] :
( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_202])]) ).
fof(f397,plain,
! [X0,X1] :
( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( ( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f238,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK36(X0,X1),sK37(X0,X1)) != a_select3(X0,sK37(X0,X1),sK36(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP11(X0,X1) ),
inference(rectify,[],[f237]) ).
fof(f237,plain,
! [X0,X6] :
( ? [X10,X11] :
( a_select3(X0,X10,X11) != a_select3(X0,X11,X10)
& leq(X11,X6)
& leq(n0,X11)
& leq(X10,X6)
& leq(n0,X10) )
| ~ sP11(X0,X6) ),
inference(nnf_transformation,[],[f181]) ).
fof(f2113,plain,
spl40_201,
inference(avatar_split_clause,[],[f392,f2111]) ).
fof(f2111,plain,
( spl40_201
<=> ! [X0,X1] :
( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_201])]) ).
fof(f392,plain,
! [X0,X1] :
( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1))
& leq(sK34(X0,X1),X1)
& leq(n0,sK34(X0,X1)) )
| ~ sP12(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f234,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK34(X0,X1),sK35(X0,X1)) != a_select3(X0,sK35(X0,X1),sK34(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1))
& leq(sK34(X0,X1),X1)
& leq(n0,sK34(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP12(X0,X1) ),
inference(rectify,[],[f233]) ).
fof(f233,plain,
! [X5,X6] :
( ? [X8,X9] :
( a_select3(X5,X8,X9) != a_select3(X5,X9,X8)
& leq(X9,X6)
& leq(n0,X9)
& leq(X8,X6)
& leq(n0,X8) )
| ~ sP12(X5,X6) ),
inference(nnf_transformation,[],[f182]) ).
fof(f2109,plain,
( spl40_200
| ~ spl40_24
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f695,f670,f567,f2106]) ).
fof(f2106,plain,
( spl40_200
<=> leq(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_200])]) ).
fof(f567,plain,
( spl40_24
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_24])]) ).
fof(f695,plain,
( leq(n2,n3)
| ~ spl40_24
| ~ spl40_42 ),
inference(resolution,[],[f671,f569]) ).
fof(f569,plain,
( gt(n3,n2)
| ~ spl40_24 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f2104,plain,
spl40_199,
inference(avatar_split_clause,[],[f377,f2102]) ).
fof(f2102,plain,
( spl40_199
<=> ! [X0,X1] :
( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_199])]) ).
fof(f377,plain,
! [X0,X1] :
( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1))
& leq(sK30(X0,X1),X1)
& leq(n0,sK30(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f225,f226]) ).
fof(f226,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK30(X0,X1),sK31(X0,X1)) != a_select3(X0,sK31(X0,X1),sK30(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1))
& leq(sK30(X0,X1),X1)
& leq(n0,sK30(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f224]) ).
fof(f224,plain,
! [X1,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != a_select3(X1,X5,X4)
& leq(X5,X3)
& leq(n0,X5)
& leq(X4,X3)
& leq(n0,X4) )
| ~ sP8(X1,X3) ),
inference(nnf_transformation,[],[f176]) ).
fof(f2099,plain,
spl40_198,
inference(avatar_split_clause,[],[f371,f2097]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK29(X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f2093,plain,
spl40_197,
inference(avatar_split_clause,[],[f370,f2091]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK29(X1,X2,X3)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f2089,plain,
spl40_196,
inference(avatar_split_clause,[],[f366,f2087]) ).
fof(f2087,plain,
( spl40_196
<=> ! [X0,X1] :
( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_196])]) ).
fof(f366,plain,
! [X0,X1] :
( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( ( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1)) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f218,f219]) ).
fof(f219,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK27(X0,X1),sK28(X0,X1)) != a_select3(X0,sK28(X0,X1),sK27(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f217]) ).
fof(f217,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP7(X1,X2) ),
inference(nnf_transformation,[],[f174]) ).
fof(f2085,plain,
spl40_195,
inference(avatar_split_clause,[],[f360,f2083]) ).
fof(f2083,plain,
( spl40_195
<=> ! [X0,X1] :
( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_195])]) ).
fof(f360,plain,
! [X0,X1] :
( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( ( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1)) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f213,f214]) ).
fof(f214,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK25(X0,X1),sK26(X0,X1)) != a_select3(X0,sK26(X0,X1),sK25(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f212]) ).
fof(f212,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP5(X0,X2) ),
inference(nnf_transformation,[],[f171]) ).
fof(f2081,plain,
spl40_194,
inference(avatar_split_clause,[],[f355,f2079]) ).
fof(f2079,plain,
( spl40_194
<=> ! [X0,X1] :
( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_194])]) ).
fof(f355,plain,
! [X0,X1] :
( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( ( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f209,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK23(X0,X1),sK24(X0,X1)) != a_select3(X0,sK24(X0,X1),sK23(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f208]) ).
fof(f208,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP6(X1,X2) ),
inference(nnf_transformation,[],[f172]) ).
fof(f2077,plain,
spl40_193,
inference(avatar_split_clause,[],[f349,f2075]) ).
fof(f2075,plain,
( spl40_193
<=> ! [X0,X1] :
( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_193])]) ).
fof(f349,plain,
! [X0,X1] :
( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( ( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f204,f205]) ).
fof(f205,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK21(X0,X1),sK22(X0,X1)) != a_select3(X0,sK22(X0,X1),sK21(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f203]) ).
fof(f203,plain,
! [X0,X2] :
( ? [X5,X6] :
( a_select3(X0,X5,X6) != a_select3(X0,X6,X5)
& leq(X6,X2)
& leq(n0,X6)
& leq(X5,X2)
& leq(n0,X5) )
| ~ sP3(X0,X2) ),
inference(nnf_transformation,[],[f168]) ).
fof(f2073,plain,
spl40_192,
inference(avatar_split_clause,[],[f344,f2071]) ).
fof(f2071,plain,
( spl40_192
<=> ! [X0,X1] :
( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_192])]) ).
fof(f344,plain,
! [X0,X1] :
( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( ( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f200,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK19(X0,X1),sK20(X0,X1)) != a_select3(X0,sK20(X0,X1),sK19(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X1,X2] :
( ? [X3,X4] :
( a_select3(X1,X3,X4) != a_select3(X1,X4,X3)
& leq(X4,X2)
& leq(n0,X4)
& leq(X3,X2)
& leq(n0,X3) )
| ~ sP4(X1,X2) ),
inference(nnf_transformation,[],[f169]) ).
fof(f2069,plain,
spl40_191,
inference(avatar_split_clause,[],[f329,f2067]) ).
fof(f2067,plain,
( spl40_191
<=> ! [X0,X1] :
( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_191])]) ).
fof(f329,plain,
! [X0,X1] :
( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f192,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK17(X0,X1),sK18(X0,X1)) != a_select3(X0,sK18(X0,X1),sK17(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f166]) ).
fof(f2065,plain,
spl40_190,
inference(avatar_split_clause,[],[f323,f2063]) ).
fof(f2063,plain,
( spl40_190
<=> ! [X0,X1] :
( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_190])]) ).
fof(f323,plain,
! [X0,X1] :
( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( ( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f188,f189]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK15(X0,X1),sK16(X0,X1)) != a_select3(X0,sK16(X0,X1),sK15(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f164]) ).
fof(f2061,plain,
( spl40_189
| ~ spl40_18
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f694,f670,f537,f2058]) ).
fof(f2058,plain,
( spl40_189
<=> leq(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_189])]) ).
fof(f537,plain,
( spl40_18
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_18])]) ).
fof(f694,plain,
( leq(n2,n4)
| ~ spl40_18
| ~ spl40_42 ),
inference(resolution,[],[f671,f539]) ).
fof(f539,plain,
( gt(n4,n2)
| ~ spl40_18 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f2056,plain,
spl40_188,
inference(avatar_split_clause,[],[f317,f2054]) ).
fof(f2054,plain,
( spl40_188
<=> ! [X0,X1] :
( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_188])]) ).
fof(f317,plain,
! [X0,X1] :
( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( ( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1))
& leq(sK13(X0,X1),X1)
& leq(n0,sK13(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f184,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
=> ( a_select3(X0,sK13(X0,X1),sK14(X0,X1)) != a_select3(X0,sK14(X0,X1),sK13(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1))
& leq(sK13(X0,X1),X1)
& leq(n0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0,X1] :
( ? [X2,X3] :
( a_select3(X0,X2,X3) != a_select3(X0,X3,X2)
& leq(X3,X1)
& leq(n0,X3)
& leq(X2,X1)
& leq(n0,X2) )
| ~ sP0(X0,X1) ),
inference(nnf_transformation,[],[f162]) ).
fof(f2052,plain,
spl40_187,
inference(avatar_split_clause,[],[f384,f2050]) ).
fof(f2050,plain,
( spl40_187
<=> ! [X0,X3,X2,X1] :
( a_select3(X1,sK32(X0,X1,X2,X3),sK33(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_187])]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( a_select3(X1,sK32(X0,X1,X2,X3),sK33(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( ( a_select3(X1,sK32(X0,X1,X2,X3),sK33(X0,X1,X2,X3)) != X0
& leq(sK33(X0,X1,X2,X3),X2)
& leq(sK32(X0,X1,X2,X3),X3)
& leq(n0,sK33(X0,X1,X2,X3))
& leq(n0,sK32(X0,X1,X2,X3)) )
| ~ sP9(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f230,f231]) ).
fof(f231,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != X0
& leq(X5,X2)
& leq(X4,X3)
& leq(n0,X5)
& leq(n0,X4) )
=> ( a_select3(X1,sK32(X0,X1,X2,X3),sK33(X0,X1,X2,X3)) != X0
& leq(sK33(X0,X1,X2,X3),X2)
& leq(sK32(X0,X1,X2,X3),X3)
& leq(n0,sK33(X0,X1,X2,X3))
& leq(n0,sK32(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( a_select3(X1,X4,X5) != X0
& leq(X5,X2)
& leq(X4,X3)
& leq(n0,X5)
& leq(n0,X4) )
| ~ sP9(X0,X1,X2,X3) ),
inference(rectify,[],[f229]) ).
fof(f229,plain,
! [X5,X4,X3,X2] :
( ? [X6,X7] :
( a_select3(X4,X6,X7) != X5
& leq(X7,X3)
& leq(X6,X2)
& leq(n0,X7)
& leq(n0,X6) )
| ~ sP9(X5,X4,X3,X2) ),
inference(nnf_transformation,[],[f178]) ).
fof(f2018,plain,
( spl40_186
| ~ spl40_39
| ~ spl40_185 ),
inference(avatar_split_clause,[],[f2014,f2010,f645,f2016]) ).
fof(f2016,plain,
( spl40_186
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_186])]) ).
fof(f2010,plain,
( spl40_185
<=> ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_185])]) ).
fof(f2014,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) )
| ~ spl40_39
| ~ spl40_185 ),
inference(forward_demodulation,[],[f2013,f647]) ).
fof(f2013,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl40_39
| ~ spl40_185 ),
inference(forward_demodulation,[],[f2011,f647]) ).
fof(f2011,plain,
( ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl40_185 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f2012,plain,
spl40_185,
inference(avatar_split_clause,[],[f303,f2010]) ).
fof(f303,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_3) ).
fof(f2006,plain,
spl40_184,
inference(avatar_split_clause,[],[f432,f2004]) ).
fof(f2004,plain,
( spl40_184
<=> ! [X3,X4,X0,X6,X2] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_184])]) ).
fof(f432,plain,
! [X2,X3,X0,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X3,X6),X2,X3)
| X0 = X2 ),
inference(equality_resolution,[],[f431]) ).
fof(f431,plain,
! [X2,X3,X0,X1,X6,X4] :
( a_select3(X4,X2,X3) = a_select3(tptp_update3(X4,X0,X1,X6),X2,X3)
| X1 != X3
| X0 = X2 ),
inference(equality_resolution,[],[f386]) ).
fof(f386,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5
| a_select3(X4,X2,X3) != X5
| X1 != X3
| X0 = X2 ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( a_select3(X4,X2,X3) = X5
& X1 = X3
& X0 != X2 )
=> a_select3(tptp_update3(X4,X0,X1,X6),X2,X3) = X5 ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4,X10,X6,X23,X0,X16,X24] :
( ( a_select3(X0,X6,X23) = X16
& X10 = X23
& X4 != X6 )
=> a_select3(tptp_update3(X0,X4,X10,X24),X6,X23) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_2) ).
fof(f1914,plain,
( spl40_183
| ~ spl40_10
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f693,f670,f497,f1911]) ).
fof(f1911,plain,
( spl40_183
<=> leq(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_183])]) ).
fof(f497,plain,
( spl40_10
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_10])]) ).
fof(f693,plain,
( leq(n2,n5)
| ~ spl40_10
| ~ spl40_42 ),
inference(resolution,[],[f671,f499]) ).
fof(f499,plain,
( gt(n5,n2)
| ~ spl40_10 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f1909,plain,
( spl40_182
| ~ spl40_39
| ~ spl40_180 ),
inference(avatar_split_clause,[],[f1901,f1897,f645,f1907]) ).
fof(f1907,plain,
( spl40_182
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_182])]) ).
fof(f1897,plain,
( spl40_180
<=> ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_180])]) ).
fof(f1901,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) )
| ~ spl40_39
| ~ spl40_180 ),
inference(forward_demodulation,[],[f1900,f647]) ).
fof(f1900,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl40_39
| ~ spl40_180 ),
inference(forward_demodulation,[],[f1898,f647]) ).
fof(f1898,plain,
( ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl40_180 ),
inference(avatar_component_clause,[],[f1897]) ).
fof(f1905,plain,
spl40_181,
inference(avatar_split_clause,[],[f369,f1903]) ).
fof(f1903,plain,
( spl40_181
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_181])]) ).
fof(f369,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( ( leq(X0,X2)
& leq(X1,X0) )
=> a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3 ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6,X7] :
( ( leq(X4,X6)
& leq(X5,X4) )
=> a_select2(tptp_const_array1(dim(X5,X6),X7),X4) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const_array1_select) ).
fof(f1899,plain,
spl40_180,
inference(avatar_split_clause,[],[f299,f1897]) ).
fof(f299,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f1895,plain,
( ~ spl40_64
| spl40_179 ),
inference(avatar_contradiction_clause,[],[f1894]) ).
fof(f1894,plain,
( $false
| ~ spl40_64
| spl40_179 ),
inference(trivial_inequality_removal,[],[f1892]) ).
fof(f1892,plain,
( use != use
| ~ spl40_64
| spl40_179 ),
inference(superposition,[],[f1888,f816]) ).
fof(f1888,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
| spl40_179 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f1886,plain,
( spl40_179
<=> use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_179])]) ).
fof(f1889,plain,
( ~ spl40_4
| ~ spl40_5
| ~ spl40_6
| ~ spl40_177
| ~ spl40_178
| ~ spl40_179 ),
inference(avatar_split_clause,[],[f252,f1886,f1882,f1878,f477,f472,f467]) ).
fof(f467,plain,
( spl40_4
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_4])]) ).
fof(f472,plain,
( spl40_5
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_5])]) ).
fof(f477,plain,
( spl40_6
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_6])]) ).
fof(f252,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0) )
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0) )
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0) )
=> ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0) )
=> ( use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4)
& use = a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0016) ).
fof(f1874,plain,
spl40_176,
inference(avatar_split_clause,[],[f430,f1872]) ).
fof(f430,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f379]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4,X6,X0,X16,X24] :
( ( a_select2(X0,X6) = X16
& X4 != X6 )
=> a_select2(tptp_update2(X0,X4,X24),X6) = X16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f1866,plain,
( spl40_175
| ~ spl40_13
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f692,f670,f512,f1863]) ).
fof(f1863,plain,
( spl40_175
<=> leq(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_175])]) ).
fof(f512,plain,
( spl40_13
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
fof(f692,plain,
( leq(n1,n5)
| ~ spl40_13
| ~ spl40_42 ),
inference(resolution,[],[f671,f514]) ).
fof(f514,plain,
( gt(n5,n1)
| ~ spl40_13 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f1823,plain,
( spl40_174
| ~ spl40_39
| ~ spl40_169 ),
inference(avatar_split_clause,[],[f1803,f1800,f645,f1821]) ).
fof(f1821,plain,
( spl40_174
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_174])]) ).
fof(f1800,plain,
( spl40_169
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_169])]) ).
fof(f1803,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl40_39
| ~ spl40_169 ),
inference(forward_demodulation,[],[f1801,f647]) ).
fof(f1801,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl40_169 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f1819,plain,
( spl40_173
| ~ spl40_39
| ~ spl40_167 ),
inference(avatar_split_clause,[],[f1793,f1790,f645,f1817]) ).
fof(f1817,plain,
( spl40_173
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_173])]) ).
fof(f1790,plain,
( spl40_167
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_167])]) ).
fof(f1793,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl40_39
| ~ spl40_167 ),
inference(forward_demodulation,[],[f1791,f647]) ).
fof(f1791,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl40_167 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f1815,plain,
( spl40_172
| ~ spl40_39
| ~ spl40_166 ),
inference(avatar_split_clause,[],[f1788,f1784,f645,f1813]) ).
fof(f1813,plain,
( spl40_172
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_172])]) ).
fof(f1784,plain,
( spl40_166
<=> ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_166])]) ).
fof(f1788,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) )
| ~ spl40_39
| ~ spl40_166 ),
inference(forward_demodulation,[],[f1787,f647]) ).
fof(f1787,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl40_39
| ~ spl40_166 ),
inference(forward_demodulation,[],[f1785,f647]) ).
fof(f1785,plain,
( ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl40_166 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1811,plain,
spl40_171,
inference(avatar_split_clause,[],[f383,f1809]) ).
fof(f1809,plain,
( spl40_171
<=> ! [X0,X3,X2,X1] :
( leq(sK33(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_171])]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( leq(sK33(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1807,plain,
spl40_170,
inference(avatar_split_clause,[],[f382,f1805]) ).
fof(f1805,plain,
( spl40_170
<=> ! [X0,X3,X2,X1] :
( leq(sK32(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_170])]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( leq(sK32(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1802,plain,
spl40_169,
inference(avatar_split_clause,[],[f381,f1800]) ).
fof(f381,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1798,plain,
( spl40_168
| ~ spl40_19
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f691,f670,f542,f1795]) ).
fof(f1795,plain,
( spl40_168
<=> leq(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_168])]) ).
fof(f542,plain,
( spl40_19
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_19])]) ).
fof(f691,plain,
( leq(n1,n4)
| ~ spl40_19
| ~ spl40_42 ),
inference(resolution,[],[f671,f544]) ).
fof(f544,plain,
( gt(n4,n1)
| ~ spl40_19 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1792,plain,
spl40_167,
inference(avatar_split_clause,[],[f380,f1790]) ).
fof(f380,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK32(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1786,plain,
spl40_166,
inference(avatar_split_clause,[],[f302,f1784]) ).
fof(f302,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f1714,plain,
spl40_165,
inference(avatar_split_clause,[],[f450,f1712]) ).
fof(f450,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f449,f414]) ).
fof(f414,plain,
! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f291,f287,f287]) ).
fof(f287,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f291,plain,
! [X0] : succ(succ(X0)) = plus(n2,X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] : succ(succ(X0)) = plus(n2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_l) ).
fof(f449,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f421,f414]) ).
fof(f421,plain,
! [X0] : plus(n5,X0) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f298,f287,f287,f287,f287,f287]) ).
fof(f298,plain,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] : succ(succ(succ(succ(succ(X0))))) = plus(n5,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_l) ).
fof(f1710,plain,
spl40_164,
inference(avatar_split_clause,[],[f448,f1708]) ).
fof(f448,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f447,f414]) ).
fof(f447,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f420,f414]) ).
fof(f420,plain,
! [X0] : plus(X0,n5) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f297,f287,f287,f287,f287,f287]) ).
fof(f297,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_5_r) ).
fof(f1678,plain,
( spl40_163
| ~ spl40_149
| ~ spl40_152
| ~ spl40_162 ),
inference(avatar_split_clause,[],[f1674,f1671,f1278,f1265,f1676]) ).
fof(f1676,plain,
( spl40_163
<=> ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_163])]) ).
fof(f1671,plain,
( spl40_162
<=> ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_162])]) ).
fof(f1674,plain,
( ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1)
| ~ spl40_149
| ~ spl40_152
| ~ spl40_162 ),
inference(forward_demodulation,[],[f1672,f1452]) ).
fof(f1452,plain,
( ! [X0] : plus(X0,n3) = plus(n2,plus(X0,n1))
| ~ spl40_149
| ~ spl40_152 ),
inference(forward_demodulation,[],[f1436,f1279]) ).
fof(f1436,plain,
( ! [X0] : plus(n2,plus(X0,n1)) = plus(plus(n2,X0),n1)
| ~ spl40_149 ),
inference(superposition,[],[f1266,f1266]) ).
fof(f1672,plain,
( ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl40_162 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f1673,plain,
spl40_162,
inference(avatar_split_clause,[],[f446,f1671]) ).
fof(f446,plain,
! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f419,f414]) ).
fof(f419,plain,
! [X0] : plus(n4,X0) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f296,f287,f287,f287,f287]) ).
fof(f296,plain,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : succ(succ(succ(succ(X0)))) = plus(n4,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_l) ).
fof(f1646,plain,
( spl40_161
| ~ spl40_25
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f690,f670,f572,f1643]) ).
fof(f1643,plain,
( spl40_161
<=> leq(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_161])]) ).
fof(f572,plain,
( spl40_25
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_25])]) ).
fof(f690,plain,
( leq(n1,n3)
| ~ spl40_25
| ~ spl40_42 ),
inference(resolution,[],[f671,f574]) ).
fof(f574,plain,
( gt(n3,n1)
| ~ spl40_25 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1641,plain,
( spl40_160
| ~ spl40_149
| ~ spl40_152
| ~ spl40_159 ),
inference(avatar_split_clause,[],[f1637,f1634,f1278,f1265,f1639]) ).
fof(f1639,plain,
( spl40_160
<=> ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_160])]) ).
fof(f1634,plain,
( spl40_159
<=> ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_159])]) ).
fof(f1637,plain,
( ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1)
| ~ spl40_149
| ~ spl40_152
| ~ spl40_159 ),
inference(forward_demodulation,[],[f1635,f1452]) ).
fof(f1635,plain,
( ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl40_159 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f1636,plain,
spl40_159,
inference(avatar_split_clause,[],[f445,f1634]) ).
fof(f445,plain,
! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f418,f414]) ).
fof(f418,plain,
! [X0] : plus(X0,n4) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f295,f287,f287,f287,f287]) ).
fof(f295,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_4_r) ).
fof(f1570,plain,
spl40_158,
inference(avatar_split_clause,[],[f429,f1568]) ).
fof(f1568,plain,
( spl40_158
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_158])]) ).
fof(f429,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ),
inference(definition_unfolding,[],[f335,f287,f287]) ).
fof(f335,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) )
& ( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( leq(succ(X0),succ(X1))
<=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_succ) ).
fof(f1566,plain,
spl40_157,
inference(avatar_split_clause,[],[f428,f1564]) ).
fof(f1564,plain,
( spl40_157
<=> ! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_157])]) ).
fof(f428,plain,
! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f336,f287,f287]) ).
fof(f336,plain,
! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f1562,plain,
spl40_156,
inference(avatar_split_clause,[],[f368,f1560]) ).
fof(f1560,plain,
( spl40_156
<=> ! [X2,X0,X1,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl40_156])]) ).
fof(f368,plain,
! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X0,X6,X23,X16] : a_select3(tptp_update3(X0,X6,X23,X16),X6,X23) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel3_update_1) ).
fof(f1509,plain,
( spl40_155
| ~ spl40_12
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f689,f670,f507,f1506]) ).
fof(f1506,plain,
( spl40_155
<=> leq(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_155])]) ).
fof(f507,plain,
( spl40_12
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_12])]) ).
fof(f689,plain,
( leq(n1,n2)
| ~ spl40_12
| ~ spl40_42 ),
inference(resolution,[],[f671,f509]) ).
fof(f509,plain,
( gt(n2,n1)
| ~ spl40_12 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f1288,plain,
( spl40_154
| ~ spl40_39
| ~ spl40_144 ),
inference(avatar_split_clause,[],[f1247,f1242,f645,f1286]) ).
fof(f1286,plain,
( spl40_154
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_154])]) ).
fof(f1242,plain,
( spl40_144
<=> ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_144])]) ).
fof(f1247,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 )
| ~ spl40_39
| ~ spl40_144 ),
inference(forward_demodulation,[],[f1246,f647]) ).
fof(f1246,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0
| ~ leq(n0,X0) )
| ~ spl40_39
| ~ spl40_144 ),
inference(forward_demodulation,[],[f1245,f647]) ).
fof(f1245,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl40_39
| ~ spl40_144 ),
inference(forward_demodulation,[],[f1243,f647]) ).
fof(f1243,plain,
( ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl40_144 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1284,plain,
spl40_153,
inference(avatar_split_clause,[],[f444,f1282]) ).
fof(f1282,plain,
( spl40_153
<=> ! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_153])]) ).
fof(f444,plain,
! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f417,f414]) ).
fof(f417,plain,
! [X0] : plus(n3,X0) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f294,f287,f287,f287]) ).
fof(f294,plain,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : succ(succ(succ(X0))) = plus(n3,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_l) ).
fof(f1280,plain,
spl40_152,
inference(avatar_split_clause,[],[f443,f1278]) ).
fof(f443,plain,
! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f416,f414]) ).
fof(f416,plain,
! [X0] : plus(X0,n3) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f293,f287,f287,f287]) ).
fof(f293,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_3_r) ).
fof(f1276,plain,
( spl40_151
| ~ spl40_8
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f688,f670,f487,f1273]) ).
fof(f1273,plain,
( spl40_151
<=> leq(tptp_minus_1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_151])]) ).
fof(f487,plain,
( spl40_8
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_8])]) ).
fof(f688,plain,
( leq(tptp_minus_1,n5)
| ~ spl40_8
| ~ spl40_42 ),
inference(resolution,[],[f671,f489]) ).
fof(f489,plain,
( gt(n5,tptp_minus_1)
| ~ spl40_8 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f1271,plain,
spl40_150,
inference(avatar_split_clause,[],[f415,f1269]) ).
fof(f415,plain,
! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f292,f287,f287]) ).
fof(f292,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : plus(X0,n2) = succ(succ(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_r) ).
fof(f1267,plain,
spl40_149,
inference(avatar_split_clause,[],[f414,f1265]) ).
fof(f1263,plain,
spl40_148,
inference(avatar_split_clause,[],[f339,f1261]) ).
fof(f1261,plain,
( spl40_148
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_148])]) ).
fof(f339,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f1259,plain,
spl40_147,
inference(avatar_split_clause,[],[f338,f1257]) ).
fof(f1257,plain,
( spl40_147
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_147])]) ).
fof(f338,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f1255,plain,
spl40_146,
inference(avatar_split_clause,[],[f312,f1253]) ).
fof(f1253,plain,
( spl40_146
<=> ! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_146])]) ).
fof(f312,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f1251,plain,
spl40_145,
inference(avatar_split_clause,[],[f305,f1249]) ).
fof(f1249,plain,
( spl40_145
<=> ! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_145])]) ).
fof(f305,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f1244,plain,
spl40_144,
inference(avatar_split_clause,[],[f304,f1242]) ).
fof(f304,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f1240,plain,
( spl40_143
| ~ spl40_17
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f687,f670,f532,f1237]) ).
fof(f1237,plain,
( spl40_143
<=> leq(tptp_minus_1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_143])]) ).
fof(f532,plain,
( spl40_17
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_17])]) ).
fof(f687,plain,
( leq(tptp_minus_1,n4)
| ~ spl40_17
| ~ spl40_42 ),
inference(resolution,[],[f671,f534]) ).
fof(f534,plain,
( gt(n4,tptp_minus_1)
| ~ spl40_17 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f1235,plain,
( spl40_142
| ~ spl40_22
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f686,f670,f557,f1232]) ).
fof(f1232,plain,
( spl40_142
<=> leq(tptp_minus_1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_142])]) ).
fof(f557,plain,
( spl40_22
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_22])]) ).
fof(f686,plain,
( leq(tptp_minus_1,n3)
| ~ spl40_22
| ~ spl40_42 ),
inference(resolution,[],[f671,f559]) ).
fof(f559,plain,
( gt(n3,tptp_minus_1)
| ~ spl40_22 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f1230,plain,
( spl40_141
| ~ spl40_9
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f685,f670,f492,f1227]) ).
fof(f1227,plain,
( spl40_141
<=> leq(tptp_minus_1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_141])]) ).
fof(f492,plain,
( spl40_9
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_9])]) ).
fof(f685,plain,
( leq(tptp_minus_1,n2)
| ~ spl40_9
| ~ spl40_42 ),
inference(resolution,[],[f671,f494]) ).
fof(f494,plain,
( gt(n2,tptp_minus_1)
| ~ spl40_9 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f1146,plain,
( spl40_140
| ~ spl40_23
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f684,f670,f562,f1143]) ).
fof(f1143,plain,
( spl40_140
<=> leq(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_140])]) ).
fof(f562,plain,
( spl40_23
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_23])]) ).
fof(f684,plain,
( leq(tptp_minus_1,n1)
| ~ spl40_23
| ~ spl40_42 ),
inference(resolution,[],[f671,f564]) ).
fof(f564,plain,
( gt(n1,tptp_minus_1)
| ~ spl40_23 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1141,plain,
( spl40_139
| ~ spl40_39
| ~ spl40_100 ),
inference(avatar_split_clause,[],[f980,f977,f645,f1139]) ).
fof(f1139,plain,
( spl40_139
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_139])]) ).
fof(f977,plain,
( spl40_100
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_100])]) ).
fof(f980,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_39
| ~ spl40_100 ),
inference(forward_demodulation,[],[f978,f647]) ).
fof(f978,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_100 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f1137,plain,
( spl40_138
| ~ spl40_39
| ~ spl40_97 ),
inference(avatar_split_clause,[],[f966,f963,f645,f1135]) ).
fof(f1135,plain,
( spl40_138
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_138])]) ).
fof(f963,plain,
( spl40_97
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_97])]) ).
fof(f966,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_39
| ~ spl40_97 ),
inference(forward_demodulation,[],[f964,f647]) ).
fof(f964,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl40_97 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1133,plain,
( spl40_137
| ~ spl40_39
| ~ spl40_95 ),
inference(avatar_split_clause,[],[f957,f954,f645,f1131]) ).
fof(f1131,plain,
( spl40_137
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_137])]) ).
fof(f954,plain,
( spl40_95
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_95])]) ).
fof(f957,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_39
| ~ spl40_95 ),
inference(forward_demodulation,[],[f955,f647]) ).
fof(f955,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_95 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f1129,plain,
( spl40_136
| ~ spl40_39
| ~ spl40_93 ),
inference(avatar_split_clause,[],[f948,f945,f645,f1127]) ).
fof(f1127,plain,
( spl40_136
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_136])]) ).
fof(f945,plain,
( spl40_93
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_93])]) ).
fof(f948,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_39
| ~ spl40_93 ),
inference(forward_demodulation,[],[f946,f647]) ).
fof(f946,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl40_93 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f1125,plain,
( spl40_135
| ~ spl40_39
| ~ spl40_91 ),
inference(avatar_split_clause,[],[f939,f936,f645,f1123]) ).
fof(f1123,plain,
( spl40_135
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_135])]) ).
fof(f936,plain,
( spl40_91
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_91])]) ).
fof(f939,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_39
| ~ spl40_91 ),
inference(forward_demodulation,[],[f937,f647]) ).
fof(f937,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_91 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1121,plain,
( spl40_134
| ~ spl40_28
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f657,f645,f587,f1118]) ).
fof(f1118,plain,
( spl40_134
<=> gt(tptp_float_0_0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_134])]) ).
fof(f657,plain,
( gt(tptp_float_0_0,tptp_minus_1)
| ~ spl40_28
| ~ spl40_39 ),
inference(superposition,[],[f589,f647]) ).
fof(f1116,plain,
( spl40_133
| ~ spl40_39
| ~ spl40_89 ),
inference(avatar_split_clause,[],[f930,f927,f645,f1114]) ).
fof(f1114,plain,
( spl40_133
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_133])]) ).
fof(f927,plain,
( spl40_89
<=> ! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_89])]) ).
fof(f930,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_39
| ~ spl40_89 ),
inference(forward_demodulation,[],[f928,f647]) ).
fof(f928,plain,
( ! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl40_89 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f1112,plain,
( spl40_132
| ~ spl40_39
| ~ spl40_87 ),
inference(avatar_split_clause,[],[f921,f918,f645,f1110]) ).
fof(f1110,plain,
( spl40_132
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_132])]) ).
fof(f918,plain,
( spl40_87
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_87])]) ).
fof(f921,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_39
| ~ spl40_87 ),
inference(forward_demodulation,[],[f919,f647]) ).
fof(f919,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_87 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f1108,plain,
( spl40_131
| ~ spl40_39
| ~ spl40_85 ),
inference(avatar_split_clause,[],[f912,f909,f645,f1106]) ).
fof(f1106,plain,
( spl40_131
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_131])]) ).
fof(f909,plain,
( spl40_85
<=> ! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_85])]) ).
fof(f912,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK30(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_39
| ~ spl40_85 ),
inference(forward_demodulation,[],[f910,f647]) ).
fof(f910,plain,
( ! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl40_85 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1104,plain,
( spl40_130
| ~ spl40_39
| ~ spl40_83 ),
inference(avatar_split_clause,[],[f903,f900,f645,f1102]) ).
fof(f1102,plain,
( spl40_130
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_130])]) ).
fof(f900,plain,
( spl40_83
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_83])]) ).
fof(f903,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_39
| ~ spl40_83 ),
inference(forward_demodulation,[],[f901,f647]) ).
fof(f901,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_83 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1100,plain,
( spl40_129
| ~ spl40_39
| ~ spl40_81 ),
inference(avatar_split_clause,[],[f894,f891,f645,f1098]) ).
fof(f1098,plain,
( spl40_129
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_129])]) ).
fof(f891,plain,
( spl40_81
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_81])]) ).
fof(f894,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_39
| ~ spl40_81 ),
inference(forward_demodulation,[],[f892,f647]) ).
fof(f892,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl40_81 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1096,plain,
( spl40_128
| ~ spl40_27
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f656,f645,f582,f1093]) ).
fof(f1093,plain,
( spl40_128
<=> gt(n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_128])]) ).
fof(f656,plain,
( gt(n1,tptp_float_0_0)
| ~ spl40_27
| ~ spl40_39 ),
inference(superposition,[],[f584,f647]) ).
fof(f1091,plain,
( spl40_127
| ~ spl40_39
| ~ spl40_79 ),
inference(avatar_split_clause,[],[f885,f882,f645,f1089]) ).
fof(f1089,plain,
( spl40_127
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_127])]) ).
fof(f882,plain,
( spl40_79
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_79])]) ).
fof(f885,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_39
| ~ spl40_79 ),
inference(forward_demodulation,[],[f883,f647]) ).
fof(f883,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_79 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f1087,plain,
( spl40_126
| ~ spl40_39
| ~ spl40_77 ),
inference(avatar_split_clause,[],[f876,f873,f645,f1085]) ).
fof(f1085,plain,
( spl40_126
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_126])]) ).
fof(f873,plain,
( spl40_77
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_77])]) ).
fof(f876,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_39
| ~ spl40_77 ),
inference(forward_demodulation,[],[f874,f647]) ).
fof(f874,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl40_77 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f1083,plain,
( spl40_125
| ~ spl40_39
| ~ spl40_75 ),
inference(avatar_split_clause,[],[f867,f864,f645,f1081]) ).
fof(f1081,plain,
( spl40_125
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_125])]) ).
fof(f864,plain,
( spl40_75
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_75])]) ).
fof(f867,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_39
| ~ spl40_75 ),
inference(forward_demodulation,[],[f865,f647]) ).
fof(f865,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_75 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f1079,plain,
( spl40_124
| ~ spl40_39
| ~ spl40_73 ),
inference(avatar_split_clause,[],[f858,f855,f645,f1077]) ).
fof(f1077,plain,
( spl40_124
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_124])]) ).
fof(f855,plain,
( spl40_73
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_73])]) ).
fof(f858,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_39
| ~ spl40_73 ),
inference(forward_demodulation,[],[f856,f647]) ).
fof(f856,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl40_73 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f1075,plain,
( spl40_123
| ~ spl40_39
| ~ spl40_71 ),
inference(avatar_split_clause,[],[f849,f846,f645,f1073]) ).
fof(f1073,plain,
( spl40_123
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_123])]) ).
fof(f846,plain,
( spl40_71
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_71])]) ).
fof(f849,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_39
| ~ spl40_71 ),
inference(forward_demodulation,[],[f847,f647]) ).
fof(f847,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_71 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f1071,plain,
( spl40_122
| ~ spl40_26
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f655,f645,f577,f1068]) ).
fof(f1068,plain,
( spl40_122
<=> gt(n3,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_122])]) ).
fof(f655,plain,
( gt(n3,tptp_float_0_0)
| ~ spl40_26
| ~ spl40_39 ),
inference(superposition,[],[f579,f647]) ).
fof(f1066,plain,
( spl40_121
| ~ spl40_39
| ~ spl40_69 ),
inference(avatar_split_clause,[],[f840,f837,f645,f1064]) ).
fof(f1064,plain,
( spl40_121
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_121])]) ).
fof(f837,plain,
( spl40_69
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_69])]) ).
fof(f840,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_39
| ~ spl40_69 ),
inference(forward_demodulation,[],[f838,f647]) ).
fof(f838,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl40_69 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f1062,plain,
( spl40_120
| ~ spl40_39
| ~ spl40_67 ),
inference(avatar_split_clause,[],[f831,f828,f645,f1060]) ).
fof(f1060,plain,
( spl40_120
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_120])]) ).
fof(f828,plain,
( spl40_67
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_67])]) ).
fof(f831,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_39
| ~ spl40_67 ),
inference(forward_demodulation,[],[f829,f647]) ).
fof(f829,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_67 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f1058,plain,
( spl40_119
| ~ spl40_39
| ~ spl40_65 ),
inference(avatar_split_clause,[],[f822,f819,f645,f1056]) ).
fof(f1056,plain,
( spl40_119
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_119])]) ).
fof(f819,plain,
( spl40_65
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_65])]) ).
fof(f822,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_39
| ~ spl40_65 ),
inference(forward_demodulation,[],[f820,f647]) ).
fof(f820,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl40_65 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f1054,plain,
( spl40_118
| ~ spl40_39
| ~ spl40_62 ),
inference(avatar_split_clause,[],[f809,f806,f645,f1052]) ).
fof(f1052,plain,
( spl40_118
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_118])]) ).
fof(f806,plain,
( spl40_62
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_62])]) ).
fof(f809,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_39
| ~ spl40_62 ),
inference(forward_demodulation,[],[f807,f647]) ).
fof(f807,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_62 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f1050,plain,
( spl40_117
| ~ spl40_21
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f654,f645,f552,f1047]) ).
fof(f1047,plain,
( spl40_117
<=> gt(n4,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_117])]) ).
fof(f654,plain,
( gt(n4,tptp_float_0_0)
| ~ spl40_21
| ~ spl40_39 ),
inference(superposition,[],[f554,f647]) ).
fof(f1045,plain,
( spl40_116
| ~ spl40_39
| ~ spl40_60 ),
inference(avatar_split_clause,[],[f800,f797,f645,f1043]) ).
fof(f1043,plain,
( spl40_116
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_116])]) ).
fof(f797,plain,
( spl40_60
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_60])]) ).
fof(f800,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_39
| ~ spl40_60 ),
inference(forward_demodulation,[],[f798,f647]) ).
fof(f798,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl40_60 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f1041,plain,
( spl40_115
| ~ spl40_39
| ~ spl40_57 ),
inference(avatar_split_clause,[],[f786,f783,f645,f1039]) ).
fof(f1039,plain,
( spl40_115
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_115])]) ).
fof(f783,plain,
( spl40_57
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_57])]) ).
fof(f786,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_39
| ~ spl40_57 ),
inference(forward_demodulation,[],[f784,f647]) ).
fof(f784,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_57 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f1037,plain,
( spl40_114
| ~ spl40_39
| ~ spl40_55 ),
inference(avatar_split_clause,[],[f777,f774,f645,f1035]) ).
fof(f1035,plain,
( spl40_114
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_114])]) ).
fof(f774,plain,
( spl40_55
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_55])]) ).
fof(f777,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_39
| ~ spl40_55 ),
inference(forward_demodulation,[],[f775,f647]) ).
fof(f775,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl40_55 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f1033,plain,
( spl40_113
| ~ spl40_39
| ~ spl40_53 ),
inference(avatar_split_clause,[],[f768,f765,f645,f1031]) ).
fof(f1031,plain,
( spl40_113
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_113])]) ).
fof(f765,plain,
( spl40_53
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_53])]) ).
fof(f768,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_39
| ~ spl40_53 ),
inference(forward_demodulation,[],[f766,f647]) ).
fof(f766,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_53 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f1029,plain,
( spl40_112
| ~ spl40_39
| ~ spl40_51 ),
inference(avatar_split_clause,[],[f759,f756,f645,f1027]) ).
fof(f1027,plain,
( spl40_112
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK13(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_112])]) ).
fof(f756,plain,
( spl40_51
<=> ! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_51])]) ).
fof(f759,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK13(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_39
| ~ spl40_51 ),
inference(forward_demodulation,[],[f757,f647]) ).
fof(f757,plain,
( ! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl40_51 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f1025,plain,
( spl40_111
| ~ spl40_39
| ~ spl40_50 ),
inference(avatar_split_clause,[],[f754,f751,f645,f1023]) ).
fof(f1023,plain,
( spl40_111
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_111])]) ).
fof(f751,plain,
( spl40_50
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_50])]) ).
fof(f754,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl40_39
| ~ spl40_50 ),
inference(forward_demodulation,[],[f752,f647]) ).
fof(f752,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl40_50 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1021,plain,
( spl40_110
| ~ spl40_16
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f653,f645,f527,f1018]) ).
fof(f1018,plain,
( spl40_110
<=> gt(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_110])]) ).
fof(f653,plain,
( gt(n2,tptp_float_0_0)
| ~ spl40_16
| ~ spl40_39 ),
inference(superposition,[],[f529,f647]) ).
fof(f1016,plain,
( spl40_109
| ~ spl40_39
| ~ spl40_49 ),
inference(avatar_split_clause,[],[f749,f746,f645,f1014]) ).
fof(f1014,plain,
( spl40_109
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_109])]) ).
fof(f746,plain,
( spl40_49
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_49])]) ).
fof(f749,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl40_39
| ~ spl40_49 ),
inference(forward_demodulation,[],[f747,f647]) ).
fof(f747,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl40_49 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1012,plain,
( spl40_108
| ~ spl40_39
| ~ spl40_48 ),
inference(avatar_split_clause,[],[f744,f740,f645,f1010]) ).
fof(f1010,plain,
( spl40_108
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_108])]) ).
fof(f740,plain,
( spl40_48
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_48])]) ).
fof(f744,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl40_39
| ~ spl40_48 ),
inference(forward_demodulation,[],[f743,f647]) ).
fof(f743,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl40_39
| ~ spl40_48 ),
inference(forward_demodulation,[],[f741,f647]) ).
fof(f741,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl40_48 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f1008,plain,
spl40_107,
inference(avatar_split_clause,[],[f427,f1006]) ).
fof(f1006,plain,
( spl40_107
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_107])]) ).
fof(f427,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f333,f289]) ).
fof(f289,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f333,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f1004,plain,
spl40_106,
inference(avatar_split_clause,[],[f426,f1002]) ).
fof(f1002,plain,
( spl40_106
<=> ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_106])]) ).
fof(f426,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f334,f289]) ).
fof(f334,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f1000,plain,
spl40_105,
inference(avatar_split_clause,[],[f425,f998]) ).
fof(f425,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f331,f287]) ).
fof(f331,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f996,plain,
spl40_104,
inference(avatar_split_clause,[],[f424,f994]) ).
fof(f424,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f332,f287]) ).
fof(f332,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f992,plain,
spl40_103,
inference(avatar_split_clause,[],[f423,f990]) ).
fof(f423,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f310,f287]) ).
fof(f310,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f988,plain,
spl40_102,
inference(avatar_split_clause,[],[f422,f986]) ).
fof(f422,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f309,f287]) ).
fof(f309,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
=> leq(X0,succ(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ) ).
fof(f984,plain,
spl40_101,
inference(avatar_split_clause,[],[f401,f982]) ).
fof(f982,plain,
( spl40_101
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_101])]) ).
fof(f401,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f979,plain,
spl40_100,
inference(avatar_split_clause,[],[f400,f977]) ).
fof(f400,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f975,plain,
( spl40_99
| ~ spl40_15
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f652,f645,f522,f972]) ).
fof(f972,plain,
( spl40_99
<=> gt(n5,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_99])]) ).
fof(f652,plain,
( gt(n5,tptp_float_0_0)
| ~ spl40_15
| ~ spl40_39 ),
inference(superposition,[],[f524,f647]) ).
fof(f970,plain,
spl40_98,
inference(avatar_split_clause,[],[f399,f968]) ).
fof(f968,plain,
( spl40_98
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_98])]) ).
fof(f399,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f965,plain,
spl40_97,
inference(avatar_split_clause,[],[f398,f963]) ).
fof(f398,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f961,plain,
spl40_96,
inference(avatar_split_clause,[],[f396,f959]) ).
fof(f959,plain,
( spl40_96
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_96])]) ).
fof(f396,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f956,plain,
spl40_95,
inference(avatar_split_clause,[],[f395,f954]) ).
fof(f395,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f952,plain,
spl40_94,
inference(avatar_split_clause,[],[f394,f950]) ).
fof(f950,plain,
( spl40_94
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_94])]) ).
fof(f394,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f947,plain,
spl40_93,
inference(avatar_split_clause,[],[f393,f945]) ).
fof(f393,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f240]) ).
fof(f943,plain,
spl40_92,
inference(avatar_split_clause,[],[f391,f941]) ).
fof(f941,plain,
( spl40_92
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_92])]) ).
fof(f391,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f938,plain,
spl40_91,
inference(avatar_split_clause,[],[f390,f936]) ).
fof(f390,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f934,plain,
spl40_90,
inference(avatar_split_clause,[],[f389,f932]) ).
fof(f932,plain,
( spl40_90
<=> ! [X0,X1] :
( leq(sK34(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_90])]) ).
fof(f389,plain,
! [X0,X1] :
( leq(sK34(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f929,plain,
spl40_89,
inference(avatar_split_clause,[],[f388,f927]) ).
fof(f388,plain,
! [X0,X1] :
( leq(n0,sK34(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f925,plain,
spl40_88,
inference(avatar_split_clause,[],[f376,f923]) ).
fof(f923,plain,
( spl40_88
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_88])]) ).
fof(f376,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f920,plain,
spl40_87,
inference(avatar_split_clause,[],[f375,f918]) ).
fof(f375,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f916,plain,
spl40_86,
inference(avatar_split_clause,[],[f374,f914]) ).
fof(f914,plain,
( spl40_86
<=> ! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_86])]) ).
fof(f374,plain,
! [X0,X1] :
( leq(sK30(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f911,plain,
spl40_85,
inference(avatar_split_clause,[],[f373,f909]) ).
fof(f373,plain,
! [X0,X1] :
( leq(n0,sK30(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f907,plain,
spl40_84,
inference(avatar_split_clause,[],[f365,f905]) ).
fof(f905,plain,
( spl40_84
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_84])]) ).
fof(f365,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f902,plain,
spl40_83,
inference(avatar_split_clause,[],[f364,f900]) ).
fof(f364,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f898,plain,
spl40_82,
inference(avatar_split_clause,[],[f363,f896]) ).
fof(f896,plain,
( spl40_82
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_82])]) ).
fof(f363,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f893,plain,
spl40_81,
inference(avatar_split_clause,[],[f362,f891]) ).
fof(f362,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f889,plain,
spl40_80,
inference(avatar_split_clause,[],[f359,f887]) ).
fof(f887,plain,
( spl40_80
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_80])]) ).
fof(f359,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f884,plain,
spl40_79,
inference(avatar_split_clause,[],[f358,f882]) ).
fof(f358,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f880,plain,
spl40_78,
inference(avatar_split_clause,[],[f357,f878]) ).
fof(f878,plain,
( spl40_78
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_78])]) ).
fof(f357,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f875,plain,
spl40_77,
inference(avatar_split_clause,[],[f356,f873]) ).
fof(f356,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f871,plain,
spl40_76,
inference(avatar_split_clause,[],[f354,f869]) ).
fof(f869,plain,
( spl40_76
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_76])]) ).
fof(f354,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f866,plain,
spl40_75,
inference(avatar_split_clause,[],[f353,f864]) ).
fof(f353,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f862,plain,
spl40_74,
inference(avatar_split_clause,[],[f352,f860]) ).
fof(f860,plain,
( spl40_74
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_74])]) ).
fof(f352,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f857,plain,
spl40_73,
inference(avatar_split_clause,[],[f351,f855]) ).
fof(f351,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f853,plain,
spl40_72,
inference(avatar_split_clause,[],[f348,f851]) ).
fof(f851,plain,
( spl40_72
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_72])]) ).
fof(f348,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f848,plain,
spl40_71,
inference(avatar_split_clause,[],[f347,f846]) ).
fof(f347,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f844,plain,
spl40_70,
inference(avatar_split_clause,[],[f346,f842]) ).
fof(f842,plain,
( spl40_70
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_70])]) ).
fof(f346,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f839,plain,
spl40_69,
inference(avatar_split_clause,[],[f345,f837]) ).
fof(f345,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f835,plain,
spl40_68,
inference(avatar_split_clause,[],[f343,f833]) ).
fof(f833,plain,
( spl40_68
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_68])]) ).
fof(f343,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f830,plain,
spl40_67,
inference(avatar_split_clause,[],[f342,f828]) ).
fof(f342,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f826,plain,
spl40_66,
inference(avatar_split_clause,[],[f341,f824]) ).
fof(f824,plain,
( spl40_66
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_66])]) ).
fof(f341,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f821,plain,
spl40_65,
inference(avatar_split_clause,[],[f340,f819]) ).
fof(f340,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f817,plain,
spl40_64,
inference(avatar_split_clause,[],[f337,f815]) ).
fof(f337,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X6,X16] : a_select2(tptp_update2(X0,X6,X16),X6) = X16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f813,plain,
spl40_63,
inference(avatar_split_clause,[],[f328,f811]) ).
fof(f811,plain,
( spl40_63
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_63])]) ).
fof(f328,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f808,plain,
spl40_62,
inference(avatar_split_clause,[],[f327,f806]) ).
fof(f327,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f804,plain,
spl40_61,
inference(avatar_split_clause,[],[f326,f802]) ).
fof(f802,plain,
( spl40_61
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_61])]) ).
fof(f326,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f799,plain,
spl40_60,
inference(avatar_split_clause,[],[f325,f797]) ).
fof(f325,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f795,plain,
spl40_59,
inference(avatar_split_clause,[],[f322,f793]) ).
fof(f793,plain,
( spl40_59
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_59])]) ).
fof(f322,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f791,plain,
( spl40_58
| ~ spl40_6
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f651,f645,f477,f788]) ).
fof(f788,plain,
( spl40_58
<=> use = a_select3(u_defuse,n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_58])]) ).
fof(f651,plain,
( use = a_select3(u_defuse,n2,tptp_float_0_0)
| ~ spl40_6
| ~ spl40_39 ),
inference(superposition,[],[f479,f647]) ).
fof(f479,plain,
( use = a_select3(u_defuse,n2,n0)
| ~ spl40_6 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f785,plain,
spl40_57,
inference(avatar_split_clause,[],[f321,f783]) ).
fof(f321,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f781,plain,
spl40_56,
inference(avatar_split_clause,[],[f320,f779]) ).
fof(f779,plain,
( spl40_56
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_56])]) ).
fof(f320,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f776,plain,
spl40_55,
inference(avatar_split_clause,[],[f319,f774]) ).
fof(f319,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f772,plain,
spl40_54,
inference(avatar_split_clause,[],[f316,f770]) ).
fof(f770,plain,
( spl40_54
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_54])]) ).
fof(f316,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f767,plain,
spl40_53,
inference(avatar_split_clause,[],[f315,f765]) ).
fof(f315,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f763,plain,
spl40_52,
inference(avatar_split_clause,[],[f314,f761]) ).
fof(f761,plain,
( spl40_52
<=> ! [X0,X1] :
( leq(sK13(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_52])]) ).
fof(f314,plain,
! [X0,X1] :
( leq(sK13(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f758,plain,
spl40_51,
inference(avatar_split_clause,[],[f313,f756]) ).
fof(f313,plain,
! [X0,X1] :
( leq(n0,sK13(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f753,plain,
spl40_50,
inference(avatar_split_clause,[],[f311,f751]) ).
fof(f311,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( leq(minus(X0,X1),X0)
=> leq(n0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_minus) ).
fof(f748,plain,
spl40_49,
inference(avatar_split_clause,[],[f307,f746]) ).
fof(f307,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X1,X0),X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(uniform_int_rnd(X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
fof(f742,plain,
spl40_48,
inference(avatar_split_clause,[],[f306,f740]) ).
fof(f306,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X1,X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X0,X3] :
( leq(n0,X0)
=> leq(n0,uniform_int_rnd(X3,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
fof(f738,plain,
( spl40_47
| ~ spl40_5
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f650,f645,f472,f735]) ).
fof(f735,plain,
( spl40_47
<=> use = a_select3(u_defuse,n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_47])]) ).
fof(f650,plain,
( use = a_select3(u_defuse,n1,tptp_float_0_0)
| ~ spl40_5
| ~ spl40_39 ),
inference(superposition,[],[f474,f647]) ).
fof(f474,plain,
( use = a_select3(u_defuse,n1,n0)
| ~ spl40_5 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f716,plain,
spl40_46,
inference(avatar_split_clause,[],[f413,f714]) ).
fof(f413,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f288,f287]) ).
fof(f288,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f712,plain,
spl40_45,
inference(avatar_split_clause,[],[f412,f710]) ).
fof(f412,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f285,f287,f289]) ).
fof(f285,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred) ).
fof(f708,plain,
spl40_44,
inference(avatar_split_clause,[],[f411,f706]) ).
fof(f411,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f284,f289,f287]) ).
fof(f284,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f676,plain,
( spl40_43
| ~ spl40_39
| ~ spl40_40 ),
inference(avatar_split_clause,[],[f663,f660,f645,f674]) ).
fof(f674,plain,
( spl40_43
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_43])]) ).
fof(f660,plain,
( spl40_40
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_40])]) ).
fof(f663,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl40_39
| ~ spl40_40 ),
inference(forward_demodulation,[],[f661,f647]) ).
fof(f661,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl40_40 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f672,plain,
spl40_42,
inference(avatar_split_clause,[],[f308,f670]) ).
fof(f308,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f668,plain,
( spl40_41
| ~ spl40_4
| ~ spl40_39 ),
inference(avatar_split_clause,[],[f649,f645,f467,f665]) ).
fof(f665,plain,
( spl40_41
<=> use = a_select3(u_defuse,tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_41])]) ).
fof(f649,plain,
( use = a_select3(u_defuse,tptp_float_0_0,tptp_float_0_0)
| ~ spl40_4
| ~ spl40_39 ),
inference(superposition,[],[f469,f647]) ).
fof(f469,plain,
( use = a_select3(u_defuse,n0,n0)
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f662,plain,
spl40_40,
inference(avatar_split_clause,[],[f290,f660]) ).
fof(f290,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X22] : sum(n0,tptp_minus_1,X22) = tptp_float_0_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f648,plain,
( spl40_39
| ~ spl40_38 ),
inference(avatar_split_clause,[],[f643,f640,f645]) ).
fof(f640,plain,
( spl40_38
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_38])]) ).
fof(f643,plain,
( n0 = tptp_float_0_0
| ~ spl40_38 ),
inference(forward_demodulation,[],[f641,f290]) ).
fof(f641,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl40_38 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
spl40_38,
inference(avatar_split_clause,[],[f286,f640]) ).
fof(f286,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f632,plain,
spl40_37,
inference(avatar_split_clause,[],[f442,f629]) ).
fof(f442,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f441,f438]) ).
fof(f438,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f437,f435]) ).
fof(f435,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f434,f433]) ).
fof(f433,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f406,f404]) ).
fof(f404,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f275,f287]) ).
fof(f275,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f406,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f277,f287,f287]) ).
fof(f277,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f434,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f407,f404]) ).
fof(f407,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f278,f287,f287,f287]) ).
fof(f278,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f437,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f436,f433]) ).
fof(f436,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f408,f404]) ).
fof(f408,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f279,f287,f287,f287,f287]) ).
fof(f279,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f441,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f440,f435]) ).
fof(f440,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f439,f433]) ).
fof(f439,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f409,f404]) ).
fof(f409,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f280,f287,f287,f287,f287,f287]) ).
fof(f280,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f627,plain,
spl40_36,
inference(avatar_split_clause,[],[f438,f624]) ).
fof(f622,plain,
spl40_35,
inference(avatar_split_clause,[],[f435,f619]) ).
fof(f617,plain,
spl40_34,
inference(avatar_split_clause,[],[f433,f614]) ).
fof(f612,plain,
spl40_33,
inference(avatar_split_clause,[],[f410,f610]) ).
fof(f410,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f283,f287]) ).
fof(f283,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ) ).
fof(f608,plain,
spl40_32,
inference(avatar_split_clause,[],[f405,f605]) ).
fof(f405,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f276,f287]) ).
fof(f276,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f603,plain,
spl40_31,
inference(avatar_split_clause,[],[f404,f600]) ).
fof(f598,plain,
spl40_30,
inference(avatar_split_clause,[],[f282,f596]) ).
fof(f596,plain,
( spl40_30
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_30])]) ).
fof(f282,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f594,plain,
spl40_29,
inference(avatar_split_clause,[],[f281,f592]) ).
fof(f281,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f590,plain,
spl40_28,
inference(avatar_split_clause,[],[f274,f587]) ).
fof(f274,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f585,plain,
spl40_27,
inference(avatar_split_clause,[],[f273,f582]) ).
fof(f273,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f580,plain,
spl40_26,
inference(avatar_split_clause,[],[f272,f577]) ).
fof(f272,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f575,plain,
spl40_25,
inference(avatar_split_clause,[],[f271,f572]) ).
fof(f271,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f570,plain,
spl40_24,
inference(avatar_split_clause,[],[f270,f567]) ).
fof(f270,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f565,plain,
spl40_23,
inference(avatar_split_clause,[],[f269,f562]) ).
fof(f269,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f560,plain,
spl40_22,
inference(avatar_split_clause,[],[f268,f557]) ).
fof(f268,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f555,plain,
spl40_21,
inference(avatar_split_clause,[],[f267,f552]) ).
fof(f267,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f550,plain,
spl40_20,
inference(avatar_split_clause,[],[f266,f547]) ).
fof(f266,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f545,plain,
spl40_19,
inference(avatar_split_clause,[],[f265,f542]) ).
fof(f265,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f540,plain,
spl40_18,
inference(avatar_split_clause,[],[f264,f537]) ).
fof(f264,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f535,plain,
spl40_17,
inference(avatar_split_clause,[],[f263,f532]) ).
fof(f263,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f530,plain,
spl40_16,
inference(avatar_split_clause,[],[f262,f527]) ).
fof(f262,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f525,plain,
spl40_15,
inference(avatar_split_clause,[],[f261,f522]) ).
fof(f261,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f520,plain,
spl40_14,
inference(avatar_split_clause,[],[f260,f517]) ).
fof(f260,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f515,plain,
spl40_13,
inference(avatar_split_clause,[],[f259,f512]) ).
fof(f259,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f510,plain,
spl40_12,
inference(avatar_split_clause,[],[f258,f507]) ).
fof(f258,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f505,plain,
spl40_11,
inference(avatar_split_clause,[],[f257,f502]) ).
fof(f257,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f500,plain,
spl40_10,
inference(avatar_split_clause,[],[f256,f497]) ).
fof(f256,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f495,plain,
spl40_9,
inference(avatar_split_clause,[],[f255,f492]) ).
fof(f255,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f490,plain,
spl40_8,
inference(avatar_split_clause,[],[f254,f487]) ).
fof(f254,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f485,plain,
~ spl40_7,
inference(avatar_split_clause,[],[f253,f482]) ).
fof(f482,plain,
( spl40_7
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl40_7])]) ).
fof(f253,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',defuse) ).
fof(f480,plain,
spl40_6,
inference(avatar_split_clause,[],[f248,f477]) ).
fof(f248,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f109]) ).
fof(f475,plain,
spl40_5,
inference(avatar_split_clause,[],[f247,f472]) ).
fof(f247,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f109]) ).
fof(f470,plain,
spl40_4,
inference(avatar_split_clause,[],[f246,f467]) ).
fof(f246,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f109]) ).
fof(f465,plain,
spl40_3,
inference(avatar_split_clause,[],[f251,f462]) ).
fof(f462,plain,
( spl40_3
<=> use = a_select2(xinit_defuse,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).
fof(f251,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f109]) ).
fof(f460,plain,
spl40_2,
inference(avatar_split_clause,[],[f250,f457]) ).
fof(f457,plain,
( spl40_2
<=> use = a_select2(xinit_defuse,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).
fof(f250,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f109]) ).
fof(f455,plain,
spl40_1,
inference(avatar_split_clause,[],[f249,f452]) ).
fof(f452,plain,
( spl40_1
<=> use = a_select2(xinit_defuse,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).
fof(f249,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV104+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:13:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (9053)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (9054)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (9056)WARNING: value z3 for option sas not known
% 0.14/0.39 % (9059)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (9055)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (9057)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (9058)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (9056)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (9060)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (9058)First to succeed.
% 0.21/0.54 TRYING [2]
% 0.21/0.55 % (9058)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9053"
% 0.21/0.55 % (9058)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (9058)------------------------------
% 0.21/0.57 % (9058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.57 % (9058)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (9058)Memory used [KB]: 3174
% 0.21/0.57 % (9058)Time elapsed: 0.167 s
% 0.21/0.57 % (9058)Instructions burned: 250 (million)
% 0.21/0.57 % (9053)Success in time 0.206 s
%------------------------------------------------------------------------------