TSTP Solution File: SWV181+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV181+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 : n011.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 : Tue Apr 30 16:42:10 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 427
% Syntax : Number of formulae : 1400 ( 321 unt; 0 def)
% Number of atoms : 4741 ( 831 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 5403 (2062 ~;2213 |; 678 &)
% ( 313 <=>; 137 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 327 ( 325 usr; 311 prp; 0-4 aty)
% Number of functors : 67 ( 67 usr; 22 con; 0-4 aty)
% Number of variables : 2133 (1976 !; 157 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3904,plain,
$false,
inference(avatar_sat_refutation,[],[f477,f482,f487,f492,f497,f502,f506,f512,f517,f522,f527,f532,f537,f542,f547,f552,f557,f562,f567,f572,f577,f582,f587,f592,f597,f602,f607,f612,f617,f622,f627,f632,f637,f642,f647,f652,f657,f661,f665,f675,f683,f687,f694,f699,f703,f708,f713,f718,f723,f733,f739,f758,f763,f767,f808,f812,f816,f829,f842,f848,f853,f858,f863,f867,f872,f876,f882,f886,f890,f895,f899,f904,f908,f913,f917,f921,f926,f931,f935,f940,f944,f949,f953,f958,f962,f967,f971,f976,f980,f985,f989,f994,f998,f1003,f1007,f1012,f1016,f1021,f1025,f1030,f1034,f1039,f1043,f1048,f1052,f1057,f1061,f1066,f1070,f1075,f1079,f1084,f1088,f1092,f1096,f1100,f1104,f1108,f1113,f1117,f1121,f1125,f1129,f1133,f1137,f1141,f1145,f1149,f1153,f1157,f1162,f1166,f1170,f1174,f1178,f1182,f1187,f1191,f1195,f1199,f1203,f1207,f1211,f1215,f1219,f1223,f1227,f1231,f1323,f1355,f1364,f1371,f1375,f1379,f1383,f1388,f1392,f1396,f1400,f1404,f1408,f1611,f1714,f1718,f1722,f1790,f1795,f1826,f1831,f1863,f1867,f1939,f1945,f1950,f1955,f1959,f1963,f1967,f1971,f1986,f2029,f2035,f2041,f2045,f2147,f2153,f2159,f2194,f2198,f2202,f2206,f2210,f2214,f2218,f2222,f2226,f2230,f2236,f2241,f2245,f2249,f2258,f2262,f2266,f2272,f2338,f2344,f2379,f2384,f2389,f2395,f2430,f2499,f2505,f2516,f2520,f2524,f2594,f2600,f2637,f2643,f2649,f2662,f2732,f2738,f2744,f2748,f2818,f2828,f2865,f2871,f2908,f2912,f2916,f2920,f2925,f2931,f3003,f3068,f3072,f3077,f3081,f3085,f3104,f3109,f3114,f3119,f3124,f3129,f3134,f3139,f3144,f3149,f3154,f3159,f3164,f3169,f3174,f3179,f3184,f3189,f3194,f3199,f3204,f3209,f3214,f3219,f3224,f3229,f3234,f3285,f3290,f3295,f3300,f3306,f3314,f3319,f3324,f3325,f3331,f3336,f3341,f3415,f3591,f3598,f3639,f3680,f3684,f3709,f3753,f3757,f3762,f3767,f3772,f3777,f3782,f3787,f3791,f3795,f3799,f3863,f3869,f3873,f3878,f3891,f3896,f3902,f3903]) ).
fof(f3903,plain,
( spl41_276
| ~ spl41_3
| ~ spl41_165 ),
inference(avatar_split_clause,[],[f3237,f1608,f484,f3231]) ).
fof(f3231,plain,
( spl41_276
<=> gt(loopcounter,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_276])]) ).
fof(f484,plain,
( spl41_3
<=> gt(n1,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).
fof(f1608,plain,
( spl41_165
<=> n1 = loopcounter ),
introduced(avatar_definition,[new_symbols(naming,[spl41_165])]) ).
fof(f3237,plain,
( gt(loopcounter,loopcounter)
| ~ spl41_3
| ~ spl41_165 ),
inference(superposition,[],[f486,f1610]) ).
fof(f1610,plain,
( n1 = loopcounter
| ~ spl41_165 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f486,plain,
( gt(n1,loopcounter)
| ~ spl41_3 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f3902,plain,
( spl41_310
| ~ spl41_165
| ~ spl41_309 ),
inference(avatar_split_clause,[],[f3897,f3893,f1608,f3899]) ).
fof(f3899,plain,
( spl41_310
<=> loopcounter = plus(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_310])]) ).
fof(f3893,plain,
( spl41_309
<=> n1 = plus(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_309])]) ).
fof(f3897,plain,
( loopcounter = plus(n2,tptp_minus_1)
| ~ spl41_165
| ~ spl41_309 ),
inference(forward_demodulation,[],[f3895,f1610]) ).
fof(f3895,plain,
( n1 = plus(n2,tptp_minus_1)
| ~ spl41_309 ),
inference(avatar_component_clause,[],[f3893]) ).
fof(f3896,plain,
( spl41_309
| ~ spl41_45
| ~ spl41_46
| ~ spl41_159 ),
inference(avatar_split_clause,[],[f1599,f1390,f696,f691,f3893]) ).
fof(f691,plain,
( spl41_45
<=> n1 = plus(n0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_45])]) ).
fof(f696,plain,
( spl41_46
<=> n0 = plus(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_46])]) ).
fof(f1390,plain,
( spl41_159
<=> ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_159])]) ).
fof(f1599,plain,
( n1 = plus(n2,tptp_minus_1)
| ~ spl41_45
| ~ spl41_46
| ~ spl41_159 ),
inference(forward_demodulation,[],[f1583,f693]) ).
fof(f693,plain,
( n1 = plus(n0,n1)
| ~ spl41_45 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f1583,plain,
( plus(n0,n1) = plus(n2,tptp_minus_1)
| ~ spl41_46
| ~ spl41_159 ),
inference(superposition,[],[f1391,f698]) ).
fof(f698,plain,
( n0 = plus(tptp_minus_1,n1)
| ~ spl41_46 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f1391,plain,
( ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1)
| ~ spl41_159 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f3891,plain,
( spl41_308
| ~ spl41_45
| ~ spl41_48
| ~ spl41_53
| ~ spl41_159 ),
inference(avatar_split_clause,[],[f1598,f1390,f736,f705,f691,f3888]) ).
fof(f3888,plain,
( spl41_308
<=> n2 = plus(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_308])]) ).
fof(f705,plain,
( spl41_48
<=> n2 = plus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_48])]) ).
fof(f736,plain,
( spl41_53
<=> n0 = tptp_float_0_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_53])]) ).
fof(f1598,plain,
( n2 = plus(n2,tptp_float_0_0)
| ~ spl41_45
| ~ spl41_48
| ~ spl41_53
| ~ spl41_159 ),
inference(forward_demodulation,[],[f1597,f707]) ).
fof(f707,plain,
( n2 = plus(n1,n1)
| ~ spl41_48 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f1597,plain,
( plus(n1,n1) = plus(n2,tptp_float_0_0)
| ~ spl41_45
| ~ spl41_53
| ~ spl41_159 ),
inference(forward_demodulation,[],[f1582,f738]) ).
fof(f738,plain,
( n0 = tptp_float_0_0
| ~ spl41_53 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f1582,plain,
( plus(n1,n1) = plus(n2,n0)
| ~ spl41_45
| ~ spl41_159 ),
inference(superposition,[],[f1391,f693]) ).
fof(f3878,plain,
( spl41_307
| ~ spl41_165
| ~ spl41_306 ),
inference(avatar_split_clause,[],[f3874,f3871,f1608,f3876]) ).
fof(f3876,plain,
( spl41_307
<=> ! [X0] : ~ leq(plus(X0,loopcounter),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_307])]) ).
fof(f3871,plain,
( spl41_306
<=> ! [X0] : ~ leq(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_306])]) ).
fof(f3874,plain,
( ! [X0] : ~ leq(plus(X0,loopcounter),X0)
| ~ spl41_165
| ~ spl41_306 ),
inference(forward_demodulation,[],[f3872,f1610]) ).
fof(f3872,plain,
( ! [X0] : ~ leq(plus(X0,n1),X0)
| ~ spl41_306 ),
inference(avatar_component_clause,[],[f3871]) ).
fof(f3873,plain,
( spl41_306
| ~ spl41_38
| ~ spl41_118 ),
inference(avatar_split_clause,[],[f1272,f1098,f659,f3871]) ).
fof(f659,plain,
( spl41_38
<=> ! [X0] : ~ gt(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_38])]) ).
fof(f1098,plain,
( spl41_118
<=> ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_118])]) ).
fof(f1272,plain,
( ! [X0] : ~ leq(plus(X0,n1),X0)
| ~ spl41_38
| ~ spl41_118 ),
inference(resolution,[],[f1099,f660]) ).
fof(f660,plain,
( ! [X0] : ~ gt(X0,X0)
| ~ spl41_38 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f1099,plain,
( ! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) )
| ~ spl41_118 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f3869,plain,
( spl41_305
| ~ spl41_165
| ~ spl41_304 ),
inference(avatar_split_clause,[],[f3864,f3860,f1608,f3866]) ).
fof(f3866,plain,
( spl41_305
<=> loopcounter = plus(loopcounter,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_305])]) ).
fof(f3860,plain,
( spl41_304
<=> n1 = plus(n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_304])]) ).
fof(f3864,plain,
( loopcounter = plus(loopcounter,tptp_float_0_0)
| ~ spl41_165
| ~ spl41_304 ),
inference(forward_demodulation,[],[f3862,f1610]) ).
fof(f3862,plain,
( n1 = plus(n1,tptp_float_0_0)
| ~ spl41_304 ),
inference(avatar_component_clause,[],[f3860]) ).
fof(f3863,plain,
( spl41_304
| ~ spl41_45
| ~ spl41_53
| ~ spl41_59 ),
inference(avatar_split_clause,[],[f837,f814,f736,f691,f3860]) ).
fof(f814,plain,
( spl41_59
<=> ! [X0] : plus(X0,n1) = plus(n1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_59])]) ).
fof(f837,plain,
( n1 = plus(n1,tptp_float_0_0)
| ~ spl41_45
| ~ spl41_53
| ~ spl41_59 ),
inference(forward_demodulation,[],[f831,f738]) ).
fof(f831,plain,
( n1 = plus(n1,n0)
| ~ spl41_45
| ~ spl41_59 ),
inference(superposition,[],[f815,f693]) ).
fof(f815,plain,
( ! [X0] : plus(X0,n1) = plus(n1,X0)
| ~ spl41_59 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f3799,plain,
( ~ spl41_38
| ~ spl41_276 ),
inference(avatar_contradiction_clause,[],[f3796]) ).
fof(f3796,plain,
( $false
| ~ spl41_38
| ~ spl41_276 ),
inference(resolution,[],[f3233,f660]) ).
fof(f3233,plain,
( gt(loopcounter,loopcounter)
| ~ spl41_276 ),
inference(avatar_component_clause,[],[f3231]) ).
fof(f3795,plain,
( spl41_303
| ~ spl41_47
| ~ spl41_59 ),
inference(avatar_split_clause,[],[f834,f814,f701,f3793]) ).
fof(f3793,plain,
( spl41_303
<=> ! [X0] : gt(plus(n1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_303])]) ).
fof(f701,plain,
( spl41_47
<=> ! [X0] : gt(plus(X0,n1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_47])]) ).
fof(f834,plain,
( ! [X0] : gt(plus(n1,X0),X0)
| ~ spl41_47
| ~ spl41_59 ),
inference(superposition,[],[f702,f815]) ).
fof(f702,plain,
( ! [X0] : gt(plus(X0,n1),X0)
| ~ spl41_47 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f3791,plain,
( spl41_302
| ~ spl41_47
| ~ spl41_58 ),
inference(avatar_split_clause,[],[f830,f810,f701,f3789]) ).
fof(f3789,plain,
( spl41_302
<=> ! [X0] : gt(X0,minus(X0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_302])]) ).
fof(f810,plain,
( spl41_58
<=> ! [X0] : plus(minus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_58])]) ).
fof(f830,plain,
( ! [X0] : gt(X0,minus(X0,n1))
| ~ spl41_47
| ~ spl41_58 ),
inference(superposition,[],[f702,f811]) ).
fof(f811,plain,
( ! [X0] : plus(minus(X0,n1),n1) = X0
| ~ spl41_58 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f3787,plain,
( spl41_301
| ~ spl41_46
| ~ spl41_53
| ~ spl41_57 ),
inference(avatar_split_clause,[],[f824,f806,f736,f696,f3784]) ).
fof(f3784,plain,
( spl41_301
<=> tptp_minus_1 = minus(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_301])]) ).
fof(f806,plain,
( spl41_57
<=> ! [X0] : minus(plus(X0,n1),n1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_57])]) ).
fof(f824,plain,
( tptp_minus_1 = minus(tptp_float_0_0,n1)
| ~ spl41_46
| ~ spl41_53
| ~ spl41_57 ),
inference(forward_demodulation,[],[f818,f738]) ).
fof(f818,plain,
( tptp_minus_1 = minus(n0,n1)
| ~ spl41_46
| ~ spl41_57 ),
inference(superposition,[],[f807,f698]) ).
fof(f807,plain,
( ! [X0] : minus(plus(X0,n1),n1) = X0
| ~ spl41_57 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f3782,plain,
( spl41_300
| ~ spl41_45
| ~ spl41_53
| ~ spl41_57 ),
inference(avatar_split_clause,[],[f823,f806,f736,f691,f3779]) ).
fof(f3779,plain,
( spl41_300
<=> tptp_float_0_0 = minus(n1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_300])]) ).
fof(f823,plain,
( tptp_float_0_0 = minus(n1,n1)
| ~ spl41_45
| ~ spl41_53
| ~ spl41_57 ),
inference(forward_demodulation,[],[f817,f738]) ).
fof(f817,plain,
( n0 = minus(n1,n1)
| ~ spl41_45
| ~ spl41_57 ),
inference(superposition,[],[f807,f693]) ).
fof(f3777,plain,
( spl41_299
| ~ spl41_51
| ~ spl41_57 ),
inference(avatar_split_clause,[],[f822,f806,f720,f3774]) ).
fof(f3774,plain,
( spl41_299
<=> n4 = minus(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_299])]) ).
fof(f720,plain,
( spl41_51
<=> n5 = plus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_51])]) ).
fof(f822,plain,
( n4 = minus(n5,n1)
| ~ spl41_51
| ~ spl41_57 ),
inference(superposition,[],[f807,f722]) ).
fof(f722,plain,
( n5 = plus(n4,n1)
| ~ spl41_51 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f3772,plain,
( spl41_298
| ~ spl41_50
| ~ spl41_57 ),
inference(avatar_split_clause,[],[f821,f806,f715,f3769]) ).
fof(f3769,plain,
( spl41_298
<=> n3 = minus(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_298])]) ).
fof(f715,plain,
( spl41_50
<=> n4 = plus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_50])]) ).
fof(f821,plain,
( n3 = minus(n4,n1)
| ~ spl41_50
| ~ spl41_57 ),
inference(superposition,[],[f807,f717]) ).
fof(f717,plain,
( n4 = plus(n3,n1)
| ~ spl41_50 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f3767,plain,
( spl41_297
| ~ spl41_49
| ~ spl41_57 ),
inference(avatar_split_clause,[],[f820,f806,f710,f3764]) ).
fof(f3764,plain,
( spl41_297
<=> n2 = minus(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_297])]) ).
fof(f710,plain,
( spl41_49
<=> n3 = plus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_49])]) ).
fof(f820,plain,
( n2 = minus(n3,n1)
| ~ spl41_49
| ~ spl41_57 ),
inference(superposition,[],[f807,f712]) ).
fof(f712,plain,
( n3 = plus(n2,n1)
| ~ spl41_49 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f3762,plain,
( spl41_296
| ~ spl41_48
| ~ spl41_57 ),
inference(avatar_split_clause,[],[f819,f806,f705,f3759]) ).
fof(f3759,plain,
( spl41_296
<=> n1 = minus(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_296])]) ).
fof(f819,plain,
( n1 = minus(n2,n1)
| ~ spl41_48
| ~ spl41_57 ),
inference(superposition,[],[f807,f707]) ).
fof(f3757,plain,
( spl41_295
| ~ spl41_47
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f772,f761,f701,f3755]) ).
fof(f3755,plain,
( spl41_295
<=> ! [X0] : leq(X0,plus(X0,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_295])]) ).
fof(f761,plain,
( spl41_55
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_55])]) ).
fof(f772,plain,
( ! [X0] : leq(X0,plus(X0,n1))
| ~ spl41_47
| ~ spl41_55 ),
inference(resolution,[],[f762,f702]) ).
fof(f762,plain,
( ! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) )
| ~ spl41_55 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f3753,plain,
( spl41_294
| ~ spl41_45
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f754,f736,f691,f3750]) ).
fof(f3750,plain,
( spl41_294
<=> n1 = plus(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_294])]) ).
fof(f754,plain,
( n1 = plus(tptp_float_0_0,n1)
| ~ spl41_45
| ~ spl41_53 ),
inference(superposition,[],[f693,f738]) ).
fof(f3709,plain,
( spl41_293
| ~ spl41_44
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f753,f736,f685,f3707]) ).
fof(f3707,plain,
( spl41_293
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,n4)
| init = a_select3(q_init,X1,X0)
| ~ leq(X1,n135299)
| ~ leq(tptp_float_0_0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_293])]) ).
fof(f685,plain,
( spl41_44
<=> ! [X6,X5] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6)
| ~ leq(X5,n135299)
| ~ leq(n0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_44])]) ).
fof(f753,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,n4)
| init = a_select3(q_init,X1,X0)
| ~ leq(X1,n135299)
| ~ leq(tptp_float_0_0,X1) )
| ~ spl41_44
| ~ spl41_53 ),
inference(superposition,[],[f686,f738]) ).
fof(f686,plain,
( ! [X6,X5] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select3(q_init,X5,X6)
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
| ~ spl41_44 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f3684,plain,
( spl41_292
| ~ spl41_7
| ~ spl41_53
| ~ spl41_119 ),
inference(avatar_split_clause,[],[f1291,f1102,f736,f504,f3682]) ).
fof(f3682,plain,
( spl41_292
<=> ! [X0] :
( init = a_select3(center_init,minus(X0,n1),tptp_float_0_0)
| ~ gt(X0,tptp_float_0_0)
| ~ leq(minus(X0,n1),n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_292])]) ).
fof(f504,plain,
( spl41_7
<=> ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).
fof(f1102,plain,
( spl41_119
<=> ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_119])]) ).
fof(f1291,plain,
( ! [X0] :
( init = a_select3(center_init,minus(X0,n1),tptp_float_0_0)
| ~ gt(X0,tptp_float_0_0)
| ~ leq(minus(X0,n1),n4) )
| ~ spl41_7
| ~ spl41_53
| ~ spl41_119 ),
inference(forward_demodulation,[],[f1290,f738]) ).
fof(f1290,plain,
( ! [X0] :
( ~ gt(X0,tptp_float_0_0)
| ~ leq(minus(X0,n1),n4)
| init = a_select3(center_init,minus(X0,n1),n0) )
| ~ spl41_7
| ~ spl41_53
| ~ spl41_119 ),
inference(forward_demodulation,[],[f1285,f738]) ).
fof(f1285,plain,
( ! [X0] :
( ~ gt(X0,n0)
| ~ leq(minus(X0,n1),n4)
| init = a_select3(center_init,minus(X0,n1),n0) )
| ~ spl41_7
| ~ spl41_119 ),
inference(resolution,[],[f1103,f505]) ).
fof(f505,plain,
( ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n4)
| init = a_select3(center_init,X4,n0) )
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f1103,plain,
( ! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) )
| ~ spl41_119 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f3680,plain,
( spl41_291
| ~ spl41_7
| ~ spl41_53
| ~ spl41_115 ),
inference(avatar_split_clause,[],[f1245,f1086,f736,f504,f3678]) ).
fof(f3678,plain,
( spl41_291
<=> ! [X0] :
( init = a_select3(center_init,plus(X0,n1),tptp_float_0_0)
| ~ leq(tptp_float_0_0,X0)
| ~ leq(plus(X0,n1),n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_291])]) ).
fof(f1086,plain,
( spl41_115
<=> ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_115])]) ).
fof(f1245,plain,
( ! [X0] :
( init = a_select3(center_init,plus(X0,n1),tptp_float_0_0)
| ~ leq(tptp_float_0_0,X0)
| ~ leq(plus(X0,n1),n4) )
| ~ spl41_7
| ~ spl41_53
| ~ spl41_115 ),
inference(forward_demodulation,[],[f1244,f738]) ).
fof(f1244,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(plus(X0,n1),n4)
| init = a_select3(center_init,plus(X0,n1),n0) )
| ~ spl41_7
| ~ spl41_53
| ~ spl41_115 ),
inference(forward_demodulation,[],[f1233,f738]) ).
fof(f1233,plain,
( ! [X0] :
( ~ leq(n0,X0)
| ~ leq(plus(X0,n1),n4)
| init = a_select3(center_init,plus(X0,n1),n0) )
| ~ spl41_7
| ~ spl41_115 ),
inference(resolution,[],[f1087,f505]) ).
fof(f1087,plain,
( ! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) )
| ~ spl41_115 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f3639,plain,
( ~ spl41_121
| spl41_290
| ~ spl41_39
| ~ spl41_44
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f3328,f736,f685,f663,f3637,f1110]) ).
fof(f1110,plain,
( spl41_121
<=> leq(tptp_float_0_0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_121])]) ).
fof(f3637,plain,
( spl41_290
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,n135299)
| init = a_select3(q_init,X0,tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_290])]) ).
fof(f663,plain,
( spl41_39
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_39])]) ).
fof(f3328,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| init = a_select3(q_init,X0,tptp_float_0_0)
| ~ leq(tptp_float_0_0,n4)
| ~ leq(X0,n135299) )
| ~ spl41_39
| ~ spl41_44
| ~ spl41_53 ),
inference(forward_demodulation,[],[f3327,f738]) ).
fof(f3327,plain,
( ! [X0] :
( init = a_select3(q_init,X0,tptp_float_0_0)
| ~ leq(tptp_float_0_0,n4)
| ~ leq(X0,n135299)
| ~ leq(n0,X0) )
| ~ spl41_39
| ~ spl41_44
| ~ spl41_53 ),
inference(forward_demodulation,[],[f3326,f738]) ).
fof(f3326,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,n4)
| init = a_select3(q_init,X0,n0)
| ~ leq(X0,n135299)
| ~ leq(n0,X0) )
| ~ spl41_39
| ~ spl41_44
| ~ spl41_53 ),
inference(forward_demodulation,[],[f689,f738]) ).
fof(f689,plain,
( ! [X0] :
( ~ leq(n0,n4)
| init = a_select3(q_init,X0,n0)
| ~ leq(X0,n135299)
| ~ leq(n0,X0) )
| ~ spl41_39
| ~ spl41_44 ),
inference(resolution,[],[f686,f664]) ).
fof(f664,plain,
( ! [X0] : leq(X0,X0)
| ~ spl41_39 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f3598,plain,
( spl41_289
| ~ spl41_53
| ~ spl41_288 ),
inference(avatar_split_clause,[],[f3592,f3589,f736,f3596]) ).
fof(f3596,plain,
( spl41_289
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| init = a_select3(q_init,X0,sK13)
| ~ leq(X0,n135299) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_289])]) ).
fof(f3589,plain,
( spl41_288
<=> ! [X0] :
( init = a_select3(q_init,X0,sK13)
| ~ leq(n0,X0)
| ~ leq(X0,n135299) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_288])]) ).
fof(f3592,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| init = a_select3(q_init,X0,sK13)
| ~ leq(X0,n135299) )
| ~ spl41_53
| ~ spl41_288 ),
inference(forward_demodulation,[],[f3590,f738]) ).
fof(f3590,plain,
( ! [X0] :
( init = a_select3(q_init,X0,sK13)
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
| ~ spl41_288 ),
inference(avatar_component_clause,[],[f3589]) ).
fof(f3591,plain,
( spl41_288
| ~ spl41_5
| ~ spl41_4
| ~ spl41_44 ),
inference(avatar_split_clause,[],[f688,f685,f489,f494,f3589]) ).
fof(f494,plain,
( spl41_5
<=> leq(sK13,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).
fof(f489,plain,
( spl41_4
<=> leq(n0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).
fof(f688,plain,
( ! [X0] :
( ~ leq(sK13,n4)
| init = a_select3(q_init,X0,sK13)
| ~ leq(X0,n135299)
| ~ leq(n0,X0) )
| ~ spl41_4
| ~ spl41_44 ),
inference(resolution,[],[f686,f491]) ).
fof(f491,plain,
( leq(n0,sK13)
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f3415,plain,
( spl41_287
| ~ spl41_47
| ~ spl41_48
| ~ spl41_238 ),
inference(avatar_split_clause,[],[f2942,f2906,f705,f701,f3412]) ).
fof(f3412,plain,
( spl41_287
<=> gt(n2,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_287])]) ).
fof(f2906,plain,
( spl41_238
<=> ! [X0] :
( gt(X0,loopcounter)
| ~ gt(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_238])]) ).
fof(f2942,plain,
( gt(n2,loopcounter)
| ~ spl41_47
| ~ spl41_48
| ~ spl41_238 ),
inference(forward_demodulation,[],[f2934,f707]) ).
fof(f2934,plain,
( gt(plus(n1,n1),loopcounter)
| ~ spl41_47
| ~ spl41_238 ),
inference(resolution,[],[f2907,f702]) ).
fof(f2907,plain,
( ! [X0] :
( ~ gt(X0,n1)
| gt(X0,loopcounter) )
| ~ spl41_238 ),
inference(avatar_component_clause,[],[f2906]) ).
fof(f3341,plain,
( spl41_286
| ~ spl41_15
| ~ spl41_53
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f804,f761,f736,f544,f3338]) ).
fof(f3338,plain,
( spl41_286
<=> leq(tptp_float_0_0,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_286])]) ).
fof(f544,plain,
( spl41_15
<=> gt(n135299,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_15])]) ).
fof(f804,plain,
( leq(tptp_float_0_0,n135299)
| ~ spl41_15
| ~ spl41_53
| ~ spl41_55 ),
inference(forward_demodulation,[],[f791,f738]) ).
fof(f791,plain,
( leq(n0,n135299)
| ~ spl41_15
| ~ spl41_55 ),
inference(resolution,[],[f762,f546]) ).
fof(f546,plain,
( gt(n135299,n0)
| ~ spl41_15 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f3336,plain,
( spl41_285
| ~ spl41_22
| ~ spl41_53
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f803,f761,f736,f579,f3333]) ).
fof(f3333,plain,
( spl41_285
<=> leq(tptp_float_0_0,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_285])]) ).
fof(f579,plain,
( spl41_22
<=> gt(n5,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_22])]) ).
fof(f803,plain,
( leq(tptp_float_0_0,n5)
| ~ spl41_22
| ~ spl41_53
| ~ spl41_55 ),
inference(forward_demodulation,[],[f785,f738]) ).
fof(f785,plain,
( leq(n0,n5)
| ~ spl41_22
| ~ spl41_55 ),
inference(resolution,[],[f762,f581]) ).
fof(f581,plain,
( gt(n5,n0)
| ~ spl41_22 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f3331,plain,
( spl41_139
| ~ spl41_40
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f3330,f736,f668,f1184]) ).
fof(f1184,plain,
( spl41_139
<=> init = a_select3(center_init,tptp_float_0_0,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_139])]) ).
fof(f668,plain,
( spl41_40
<=> init = a_select3(center_init,n0,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_40])]) ).
fof(f3330,plain,
( init = a_select3(center_init,tptp_float_0_0,tptp_float_0_0)
| ~ spl41_40
| ~ spl41_53 ),
inference(forward_demodulation,[],[f670,f738]) ).
fof(f670,plain,
( init = a_select3(center_init,n0,n0)
| ~ spl41_40 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f3325,plain,
( spl41_121
| ~ spl41_35
| ~ spl41_53
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f802,f761,f736,f644,f1110]) ).
fof(f644,plain,
( spl41_35
<=> gt(n4,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_35])]) ).
fof(f802,plain,
( leq(tptp_float_0_0,n4)
| ~ spl41_35
| ~ spl41_53
| ~ spl41_55 ),
inference(forward_demodulation,[],[f780,f738]) ).
fof(f780,plain,
( leq(n0,n4)
| ~ spl41_35
| ~ spl41_55 ),
inference(resolution,[],[f762,f646]) ).
fof(f646,plain,
( gt(n4,n0)
| ~ spl41_35 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f3324,plain,
( spl41_284
| ~ spl41_26
| ~ spl41_53
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f801,f761,f736,f599,f3321]) ).
fof(f3321,plain,
( spl41_284
<=> leq(tptp_float_0_0,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_284])]) ).
fof(f599,plain,
( spl41_26
<=> gt(n3,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_26])]) ).
fof(f801,plain,
( leq(tptp_float_0_0,n3)
| ~ spl41_26
| ~ spl41_53
| ~ spl41_55 ),
inference(forward_demodulation,[],[f776,f738]) ).
fof(f776,plain,
( leq(n0,n3)
| ~ spl41_26
| ~ spl41_55 ),
inference(resolution,[],[f762,f601]) ).
fof(f601,plain,
( gt(n3,n0)
| ~ spl41_26 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f3319,plain,
( spl41_283
| ~ spl41_13
| ~ spl41_238 ),
inference(avatar_split_clause,[],[f2941,f2906,f534,f3316]) ).
fof(f3316,plain,
( spl41_283
<=> gt(n135299,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_283])]) ).
fof(f534,plain,
( spl41_13
<=> gt(n135299,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_13])]) ).
fof(f2941,plain,
( gt(n135299,loopcounter)
| ~ spl41_13
| ~ spl41_238 ),
inference(resolution,[],[f2907,f536]) ).
fof(f536,plain,
( gt(n135299,n1)
| ~ spl41_13 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f3314,plain,
( spl41_282
| ~ spl41_29
| ~ spl41_53
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f800,f761,f736,f614,f3311]) ).
fof(f3311,plain,
( spl41_282
<=> leq(tptp_float_0_0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_282])]) ).
fof(f614,plain,
( spl41_29
<=> gt(n2,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_29])]) ).
fof(f800,plain,
( leq(tptp_float_0_0,n2)
| ~ spl41_29
| ~ spl41_53
| ~ spl41_55 ),
inference(forward_demodulation,[],[f775,f738]) ).
fof(f775,plain,
( leq(n0,n2)
| ~ spl41_29
| ~ spl41_55 ),
inference(resolution,[],[f762,f616]) ).
fof(f616,plain,
( gt(n2,n0)
| ~ spl41_29 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f3306,plain,
( spl41_281
| ~ spl41_165
| ~ spl41_280 ),
inference(avatar_split_clause,[],[f3301,f3297,f1608,f3303]) ).
fof(f3303,plain,
( spl41_281
<=> leq(tptp_float_0_0,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_281])]) ).
fof(f3297,plain,
( spl41_280
<=> leq(tptp_float_0_0,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_280])]) ).
fof(f3301,plain,
( leq(tptp_float_0_0,loopcounter)
| ~ spl41_165
| ~ spl41_280 ),
inference(forward_demodulation,[],[f3299,f1610]) ).
fof(f3299,plain,
( leq(tptp_float_0_0,n1)
| ~ spl41_280 ),
inference(avatar_component_clause,[],[f3297]) ).
fof(f3300,plain,
( spl41_280
| ~ spl41_36
| ~ spl41_53
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f799,f761,f736,f649,f3297]) ).
fof(f649,plain,
( spl41_36
<=> gt(n1,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_36])]) ).
fof(f799,plain,
( leq(tptp_float_0_0,n1)
| ~ spl41_36
| ~ spl41_53
| ~ spl41_55 ),
inference(forward_demodulation,[],[f771,f738]) ).
fof(f771,plain,
( leq(n0,n1)
| ~ spl41_36
| ~ spl41_55 ),
inference(resolution,[],[f762,f651]) ).
fof(f651,plain,
( gt(n1,n0)
| ~ spl41_36 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f3295,plain,
( spl41_279
| ~ spl41_37
| ~ spl41_53
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f798,f761,f736,f654,f3292]) ).
fof(f3292,plain,
( spl41_279
<=> leq(tptp_minus_1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_279])]) ).
fof(f654,plain,
( spl41_37
<=> gt(n0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_37])]) ).
fof(f798,plain,
( leq(tptp_minus_1,tptp_float_0_0)
| ~ spl41_37
| ~ spl41_53
| ~ spl41_55 ),
inference(forward_demodulation,[],[f768,f738]) ).
fof(f768,plain,
( leq(tptp_minus_1,n0)
| ~ spl41_37
| ~ spl41_55 ),
inference(resolution,[],[f762,f656]) ).
fof(f656,plain,
( gt(n0,tptp_minus_1)
| ~ spl41_37 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f3290,plain,
( spl41_278
| ~ spl41_10
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f797,f761,f519,f3287]) ).
fof(f3287,plain,
( spl41_278
<=> leq(n5,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_278])]) ).
fof(f519,plain,
( spl41_10
<=> gt(n135299,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).
fof(f797,plain,
( leq(n5,n135299)
| ~ spl41_10
| ~ spl41_55 ),
inference(resolution,[],[f762,f521]) ).
fof(f521,plain,
( gt(n135299,n5)
| ~ spl41_10 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f3285,plain,
( spl41_277
| ~ spl41_14
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f796,f761,f539,f3282]) ).
fof(f3282,plain,
( spl41_277
<=> leq(n4,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_277])]) ).
fof(f539,plain,
( spl41_14
<=> gt(n135299,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_14])]) ).
fof(f796,plain,
( leq(n4,n135299)
| ~ spl41_14
| ~ spl41_55 ),
inference(resolution,[],[f762,f541]) ).
fof(f541,plain,
( gt(n135299,n4)
| ~ spl41_14 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f3234,plain,
( spl41_276
| ~ spl41_164
| ~ spl41_238 ),
inference(avatar_split_clause,[],[f2940,f2906,f1604,f3231]) ).
fof(f1604,plain,
( spl41_164
<=> gt(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_164])]) ).
fof(f2940,plain,
( gt(loopcounter,loopcounter)
| ~ spl41_164
| ~ spl41_238 ),
inference(resolution,[],[f2907,f1606]) ).
fof(f1606,plain,
( gt(loopcounter,n1)
| ~ spl41_164 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f3229,plain,
( spl41_275
| ~ spl41_11
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f795,f761,f524,f3226]) ).
fof(f3226,plain,
( spl41_275
<=> leq(n3,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_275])]) ).
fof(f524,plain,
( spl41_11
<=> gt(n135299,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).
fof(f795,plain,
( leq(n3,n135299)
| ~ spl41_11
| ~ spl41_55 ),
inference(resolution,[],[f762,f526]) ).
fof(f526,plain,
( gt(n135299,n3)
| ~ spl41_11 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f3224,plain,
( spl41_274
| ~ spl41_12
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f794,f761,f529,f3221]) ).
fof(f3221,plain,
( spl41_274
<=> leq(n2,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_274])]) ).
fof(f529,plain,
( spl41_12
<=> gt(n135299,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).
fof(f794,plain,
( leq(n2,n135299)
| ~ spl41_12
| ~ spl41_55 ),
inference(resolution,[],[f762,f531]) ).
fof(f531,plain,
( gt(n135299,n2)
| ~ spl41_12 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f3219,plain,
( spl41_273
| ~ spl41_13
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f793,f761,f534,f3216]) ).
fof(f3216,plain,
( spl41_273
<=> leq(n1,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_273])]) ).
fof(f793,plain,
( leq(n1,n135299)
| ~ spl41_13
| ~ spl41_55 ),
inference(resolution,[],[f762,f536]) ).
fof(f3214,plain,
( spl41_272
| ~ spl41_9
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f792,f761,f514,f3211]) ).
fof(f3211,plain,
( spl41_272
<=> leq(tptp_minus_1,n135299) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_272])]) ).
fof(f514,plain,
( spl41_9
<=> gt(n135299,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).
fof(f792,plain,
( leq(tptp_minus_1,n135299)
| ~ spl41_9
| ~ spl41_55 ),
inference(resolution,[],[f762,f516]) ).
fof(f516,plain,
( gt(n135299,tptp_minus_1)
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f3209,plain,
( spl41_271
| ~ spl41_20
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f790,f761,f569,f3206]) ).
fof(f3206,plain,
( spl41_271
<=> leq(n4,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_271])]) ).
fof(f569,plain,
( spl41_20
<=> gt(n5,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_20])]) ).
fof(f790,plain,
( leq(n4,n5)
| ~ spl41_20
| ~ spl41_55 ),
inference(resolution,[],[f762,f571]) ).
fof(f571,plain,
( gt(n5,n4)
| ~ spl41_20 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f3204,plain,
( spl41_270
| ~ spl41_18
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f789,f761,f559,f3201]) ).
fof(f3201,plain,
( spl41_270
<=> leq(n3,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_270])]) ).
fof(f559,plain,
( spl41_18
<=> gt(n5,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_18])]) ).
fof(f789,plain,
( leq(n3,n5)
| ~ spl41_18
| ~ spl41_55 ),
inference(resolution,[],[f762,f561]) ).
fof(f561,plain,
( gt(n5,n3)
| ~ spl41_18 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f3199,plain,
( spl41_269
| ~ spl41_19
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f788,f761,f564,f3196]) ).
fof(f3196,plain,
( spl41_269
<=> leq(n2,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_269])]) ).
fof(f564,plain,
( spl41_19
<=> gt(n5,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_19])]) ).
fof(f788,plain,
( leq(n2,n5)
| ~ spl41_19
| ~ spl41_55 ),
inference(resolution,[],[f762,f566]) ).
fof(f566,plain,
( gt(n5,n2)
| ~ spl41_19 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f3194,plain,
( spl41_268
| ~ spl41_21
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f787,f761,f574,f3191]) ).
fof(f3191,plain,
( spl41_268
<=> leq(n1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_268])]) ).
fof(f574,plain,
( spl41_21
<=> gt(n5,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_21])]) ).
fof(f787,plain,
( leq(n1,n5)
| ~ spl41_21
| ~ spl41_55 ),
inference(resolution,[],[f762,f576]) ).
fof(f576,plain,
( gt(n5,n1)
| ~ spl41_21 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f3189,plain,
( spl41_267
| ~ spl41_16
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f786,f761,f549,f3186]) ).
fof(f3186,plain,
( spl41_267
<=> leq(tptp_minus_1,n5) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_267])]) ).
fof(f549,plain,
( spl41_16
<=> gt(n5,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_16])]) ).
fof(f786,plain,
( leq(tptp_minus_1,n5)
| ~ spl41_16
| ~ spl41_55 ),
inference(resolution,[],[f762,f551]) ).
fof(f551,plain,
( gt(n5,tptp_minus_1)
| ~ spl41_16 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f3184,plain,
( spl41_266
| ~ spl41_32
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f784,f761,f629,f3181]) ).
fof(f3181,plain,
( spl41_266
<=> leq(n3,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_266])]) ).
fof(f629,plain,
( spl41_32
<=> gt(n4,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_32])]) ).
fof(f784,plain,
( leq(n3,n4)
| ~ spl41_32
| ~ spl41_55 ),
inference(resolution,[],[f762,f631]) ).
fof(f631,plain,
( gt(n4,n3)
| ~ spl41_32 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f3179,plain,
( spl41_265
| ~ spl41_21
| ~ spl41_238 ),
inference(avatar_split_clause,[],[f2939,f2906,f574,f3176]) ).
fof(f3176,plain,
( spl41_265
<=> gt(n5,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_265])]) ).
fof(f2939,plain,
( gt(n5,loopcounter)
| ~ spl41_21
| ~ spl41_238 ),
inference(resolution,[],[f2907,f576]) ).
fof(f3174,plain,
( spl41_264
| ~ spl41_33
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f783,f761,f634,f3171]) ).
fof(f3171,plain,
( spl41_264
<=> leq(n2,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_264])]) ).
fof(f634,plain,
( spl41_33
<=> gt(n4,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_33])]) ).
fof(f783,plain,
( leq(n2,n4)
| ~ spl41_33
| ~ spl41_55 ),
inference(resolution,[],[f762,f636]) ).
fof(f636,plain,
( gt(n4,n2)
| ~ spl41_33 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f3169,plain,
( spl41_263
| ~ spl41_34
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f782,f761,f639,f3166]) ).
fof(f3166,plain,
( spl41_263
<=> leq(n1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_263])]) ).
fof(f639,plain,
( spl41_34
<=> gt(n4,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_34])]) ).
fof(f782,plain,
( leq(n1,n4)
| ~ spl41_34
| ~ spl41_55 ),
inference(resolution,[],[f762,f641]) ).
fof(f641,plain,
( gt(n4,n1)
| ~ spl41_34 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f3164,plain,
( spl41_262
| ~ spl41_30
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f781,f761,f619,f3161]) ).
fof(f3161,plain,
( spl41_262
<=> leq(tptp_minus_1,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_262])]) ).
fof(f619,plain,
( spl41_30
<=> gt(n4,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_30])]) ).
fof(f781,plain,
( leq(tptp_minus_1,n4)
| ~ spl41_30
| ~ spl41_55 ),
inference(resolution,[],[f762,f621]) ).
fof(f621,plain,
( gt(n4,tptp_minus_1)
| ~ spl41_30 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f3159,plain,
( spl41_261
| ~ spl41_24
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f779,f761,f589,f3156]) ).
fof(f3156,plain,
( spl41_261
<=> leq(n2,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_261])]) ).
fof(f589,plain,
( spl41_24
<=> gt(n3,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_24])]) ).
fof(f779,plain,
( leq(n2,n3)
| ~ spl41_24
| ~ spl41_55 ),
inference(resolution,[],[f762,f591]) ).
fof(f591,plain,
( gt(n3,n2)
| ~ spl41_24 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f3154,plain,
( spl41_260
| ~ spl41_25
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f778,f761,f594,f3151]) ).
fof(f3151,plain,
( spl41_260
<=> leq(n1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_260])]) ).
fof(f594,plain,
( spl41_25
<=> gt(n3,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_25])]) ).
fof(f778,plain,
( leq(n1,n3)
| ~ spl41_25
| ~ spl41_55 ),
inference(resolution,[],[f762,f596]) ).
fof(f596,plain,
( gt(n3,n1)
| ~ spl41_25 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f3149,plain,
( spl41_259
| ~ spl41_23
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f777,f761,f584,f3146]) ).
fof(f3146,plain,
( spl41_259
<=> leq(tptp_minus_1,n3) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_259])]) ).
fof(f584,plain,
( spl41_23
<=> gt(n3,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_23])]) ).
fof(f777,plain,
( leq(tptp_minus_1,n3)
| ~ spl41_23
| ~ spl41_55 ),
inference(resolution,[],[f762,f586]) ).
fof(f586,plain,
( gt(n3,tptp_minus_1)
| ~ spl41_23 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f3144,plain,
( spl41_258
| ~ spl41_28
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f774,f761,f609,f3141]) ).
fof(f3141,plain,
( spl41_258
<=> leq(n1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_258])]) ).
fof(f609,plain,
( spl41_28
<=> gt(n2,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_28])]) ).
fof(f774,plain,
( leq(n1,n2)
| ~ spl41_28
| ~ spl41_55 ),
inference(resolution,[],[f762,f611]) ).
fof(f611,plain,
( gt(n2,n1)
| ~ spl41_28 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f3139,plain,
( spl41_257
| ~ spl41_27
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f773,f761,f604,f3136]) ).
fof(f3136,plain,
( spl41_257
<=> leq(tptp_minus_1,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_257])]) ).
fof(f604,plain,
( spl41_27
<=> gt(n2,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_27])]) ).
fof(f773,plain,
( leq(tptp_minus_1,n2)
| ~ spl41_27
| ~ spl41_55 ),
inference(resolution,[],[f762,f606]) ).
fof(f606,plain,
( gt(n2,tptp_minus_1)
| ~ spl41_27 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f3134,plain,
( spl41_256
| ~ spl41_31
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f770,f761,f624,f3131]) ).
fof(f3131,plain,
( spl41_256
<=> leq(tptp_minus_1,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_256])]) ).
fof(f624,plain,
( spl41_31
<=> gt(n1,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_31])]) ).
fof(f770,plain,
( leq(tptp_minus_1,n1)
| ~ spl41_31
| ~ spl41_55 ),
inference(resolution,[],[f762,f626]) ).
fof(f626,plain,
( gt(n1,tptp_minus_1)
| ~ spl41_31 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f3129,plain,
( spl41_255
| ~ spl41_37
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f749,f736,f654,f3126]) ).
fof(f3126,plain,
( spl41_255
<=> gt(tptp_float_0_0,tptp_minus_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_255])]) ).
fof(f749,plain,
( gt(tptp_float_0_0,tptp_minus_1)
| ~ spl41_37
| ~ spl41_53 ),
inference(superposition,[],[f656,f738]) ).
fof(f3124,plain,
( spl41_254
| ~ spl41_34
| ~ spl41_238 ),
inference(avatar_split_clause,[],[f2938,f2906,f639,f3121]) ).
fof(f3121,plain,
( spl41_254
<=> gt(n4,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_254])]) ).
fof(f2938,plain,
( gt(n4,loopcounter)
| ~ spl41_34
| ~ spl41_238 ),
inference(resolution,[],[f2907,f641]) ).
fof(f3119,plain,
( spl41_253
| ~ spl41_36
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f748,f736,f649,f3116]) ).
fof(f3116,plain,
( spl41_253
<=> gt(n1,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_253])]) ).
fof(f748,plain,
( gt(n1,tptp_float_0_0)
| ~ spl41_36
| ~ spl41_53 ),
inference(superposition,[],[f651,f738]) ).
fof(f3114,plain,
( spl41_252
| ~ spl41_35
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f747,f736,f644,f3111]) ).
fof(f3111,plain,
( spl41_252
<=> gt(n4,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_252])]) ).
fof(f747,plain,
( gt(n4,tptp_float_0_0)
| ~ spl41_35
| ~ spl41_53 ),
inference(superposition,[],[f646,f738]) ).
fof(f3109,plain,
( spl41_251
| ~ spl41_29
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f746,f736,f614,f3106]) ).
fof(f3106,plain,
( spl41_251
<=> gt(n2,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_251])]) ).
fof(f746,plain,
( gt(n2,tptp_float_0_0)
| ~ spl41_29
| ~ spl41_53 ),
inference(superposition,[],[f616,f738]) ).
fof(f3104,plain,
( spl41_250
| ~ spl41_26
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f745,f736,f599,f3101]) ).
fof(f3101,plain,
( spl41_250
<=> gt(n3,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_250])]) ).
fof(f745,plain,
( gt(n3,tptp_float_0_0)
| ~ spl41_26
| ~ spl41_53 ),
inference(superposition,[],[f601,f738]) ).
fof(f3085,plain,
( spl41_249
| ~ spl41_4
| ~ spl41_53
| ~ spl41_187 ),
inference(avatar_split_clause,[],[f2110,f2039,f736,f489,f3083]) ).
fof(f3083,plain,
( spl41_249
<=> ! [X0,X1] :
( a_select2(tptp_const_array1(dim(tptp_float_0_0,X0),X1),sK13) = X1
| ~ leq(sK13,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_249])]) ).
fof(f2039,plain,
( spl41_187
<=> ! [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,[spl41_187])]) ).
fof(f2110,plain,
( ! [X0,X1] :
( a_select2(tptp_const_array1(dim(tptp_float_0_0,X0),X1),sK13) = X1
| ~ leq(sK13,X0) )
| ~ spl41_4
| ~ spl41_53
| ~ spl41_187 ),
inference(forward_demodulation,[],[f2049,f738]) ).
fof(f2049,plain,
( ! [X0,X1] :
( ~ leq(sK13,X0)
| a_select2(tptp_const_array1(dim(n0,X0),X1),sK13) = X1 )
| ~ spl41_4
| ~ spl41_187 ),
inference(resolution,[],[f2040,f491]) ).
fof(f2040,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X2)
| a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3 )
| ~ spl41_187 ),
inference(avatar_component_clause,[],[f2039]) ).
fof(f3081,plain,
( spl41_248
| ~ spl41_5
| ~ spl41_187 ),
inference(avatar_split_clause,[],[f2083,f2039,f494,f3079]) ).
fof(f3079,plain,
( spl41_248
<=> ! [X0,X1] :
( ~ leq(n4,X0)
| a_select2(tptp_const_array1(dim(sK13,X0),X1),n4) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_248])]) ).
fof(f2083,plain,
( ! [X0,X1] :
( ~ leq(n4,X0)
| a_select2(tptp_const_array1(dim(sK13,X0),X1),n4) = X1 )
| ~ spl41_5
| ~ spl41_187 ),
inference(resolution,[],[f2040,f496]) ).
fof(f496,plain,
( leq(sK13,n4)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f3077,plain,
( spl41_247
| ~ spl41_25
| ~ spl41_238 ),
inference(avatar_split_clause,[],[f2937,f2906,f594,f3074]) ).
fof(f3074,plain,
( spl41_247
<=> gt(n3,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_247])]) ).
fof(f2937,plain,
( gt(n3,loopcounter)
| ~ spl41_25
| ~ spl41_238 ),
inference(resolution,[],[f2907,f596]) ).
fof(f3072,plain,
( spl41_246
| ~ spl41_1
| ~ spl41_187 ),
inference(avatar_split_clause,[],[f2081,f2039,f474,f3070]) ).
fof(f3070,plain,
( spl41_246
<=> ! [X0,X1] :
( ~ leq(pv76,X0)
| a_select2(tptp_const_array1(dim(tptp_float_0_001,X0),X1),pv76) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_246])]) ).
fof(f474,plain,
( spl41_1
<=> leq(tptp_float_0_001,pv76) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).
fof(f2081,plain,
( ! [X0,X1] :
( ~ leq(pv76,X0)
| a_select2(tptp_const_array1(dim(tptp_float_0_001,X0),X1),pv76) = X1 )
| ~ spl41_1
| ~ spl41_187 ),
inference(resolution,[],[f2040,f476]) ).
fof(f476,plain,
( leq(tptp_float_0_001,pv76)
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f3068,plain,
( spl41_245
| ~ spl41_2
| ~ spl41_187 ),
inference(avatar_split_clause,[],[f2079,f2039,f479,f3066]) ).
fof(f3066,plain,
( spl41_245
<=> ! [X0,X1] :
( ~ leq(loopcounter,X0)
| a_select2(tptp_const_array1(dim(n1,X0),X1),loopcounter) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_245])]) ).
fof(f479,plain,
( spl41_2
<=> leq(n1,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).
fof(f2079,plain,
( ! [X0,X1] :
( ~ leq(loopcounter,X0)
| a_select2(tptp_const_array1(dim(n1,X0),X1),loopcounter) = X1 )
| ~ spl41_2
| ~ spl41_187 ),
inference(resolution,[],[f2040,f481]) ).
fof(f481,plain,
( leq(n1,loopcounter)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f3003,plain,
( spl41_244
| ~ spl41_220
| ~ spl41_241 ),
inference(avatar_split_clause,[],[f2921,f2918,f2509,f3001]) ).
fof(f3001,plain,
( spl41_244
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_244])]) ).
fof(f2509,plain,
( spl41_220
<=> tptp_float_0_0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_220])]) ).
fof(f2918,plain,
( spl41_241
<=> ! [X0] :
( leq(X0,n4)
| ~ leq(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_241])]) ).
fof(f2921,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,n4) )
| ~ spl41_220
| ~ spl41_241 ),
inference(forward_demodulation,[],[f2919,f2511]) ).
fof(f2511,plain,
( tptp_float_0_0 = sK13
| ~ spl41_220 ),
inference(avatar_component_clause,[],[f2509]) ).
fof(f2919,plain,
( ! [X0] :
( ~ leq(X0,sK13)
| leq(X0,n4) )
| ~ spl41_241 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f2931,plain,
( ~ spl41_243
| spl41_6
| ~ spl41_220 ),
inference(avatar_split_clause,[],[f2652,f2509,f499,f2928]) ).
fof(f2928,plain,
( spl41_243
<=> init = a_select2(muold_init,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_243])]) ).
fof(f499,plain,
( spl41_6
<=> init = a_select2(muold_init,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).
fof(f2652,plain,
( init != a_select2(muold_init,tptp_float_0_0)
| spl41_6
| ~ spl41_220 ),
inference(superposition,[],[f501,f2511]) ).
fof(f501,plain,
( init != a_select2(muold_init,sK13)
| spl41_6 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f2925,plain,
( spl41_242
| ~ spl41_4
| ~ spl41_53
| ~ spl41_157 ),
inference(avatar_split_clause,[],[f1580,f1381,f736,f489,f2923]) ).
fof(f2923,plain,
( spl41_242
<=> ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_242])]) ).
fof(f1381,plain,
( spl41_157
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_157])]) ).
fof(f1580,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| leq(X0,sK13) )
| ~ spl41_4
| ~ spl41_53
| ~ spl41_157 ),
inference(forward_demodulation,[],[f1524,f738]) ).
fof(f1524,plain,
( ! [X0] :
( leq(X0,sK13)
| ~ leq(X0,n0) )
| ~ spl41_4
| ~ spl41_157 ),
inference(resolution,[],[f1382,f491]) ).
fof(f1382,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl41_157 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f2920,plain,
( spl41_241
| ~ spl41_5
| ~ spl41_157 ),
inference(avatar_split_clause,[],[f1555,f1381,f494,f2918]) ).
fof(f1555,plain,
( ! [X0] :
( leq(X0,n4)
| ~ leq(X0,sK13) )
| ~ spl41_5
| ~ spl41_157 ),
inference(resolution,[],[f1382,f496]) ).
fof(f2916,plain,
( spl41_240
| ~ spl41_1
| ~ spl41_157 ),
inference(avatar_split_clause,[],[f1553,f1381,f474,f2914]) ).
fof(f2914,plain,
( spl41_240
<=> ! [X0] :
( leq(X0,pv76)
| ~ leq(X0,tptp_float_0_001) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_240])]) ).
fof(f1553,plain,
( ! [X0] :
( leq(X0,pv76)
| ~ leq(X0,tptp_float_0_001) )
| ~ spl41_1
| ~ spl41_157 ),
inference(resolution,[],[f1382,f476]) ).
fof(f2912,plain,
( spl41_239
| ~ spl41_2
| ~ spl41_157 ),
inference(avatar_split_clause,[],[f1552,f1381,f479,f2910]) ).
fof(f2910,plain,
( spl41_239
<=> ! [X0] :
( leq(X0,loopcounter)
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_239])]) ).
fof(f1552,plain,
( ! [X0] :
( leq(X0,loopcounter)
| ~ leq(X0,n1) )
| ~ spl41_2
| ~ spl41_157 ),
inference(resolution,[],[f1382,f481]) ).
fof(f2908,plain,
( spl41_238
| ~ spl41_3
| ~ spl41_156 ),
inference(avatar_split_clause,[],[f1484,f1377,f484,f2906]) ).
fof(f1377,plain,
( spl41_156
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_156])]) ).
fof(f1484,plain,
( ! [X0] :
( gt(X0,loopcounter)
| ~ gt(X0,n1) )
| ~ spl41_3
| ~ spl41_156 ),
inference(resolution,[],[f1378,f486]) ).
fof(f1378,plain,
( ! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) )
| ~ spl41_156 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f2871,plain,
( spl41_237
| ~ spl41_53
| ~ spl41_236 ),
inference(avatar_split_clause,[],[f2867,f2863,f736,f2869]) ).
fof(f2869,plain,
( spl41_237
<=> ! [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,[spl41_237])]) ).
fof(f2863,plain,
( spl41_236
<=> ! [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,[spl41_236])]) ).
fof(f2867,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) )
| ~ spl41_53
| ~ spl41_236 ),
inference(forward_demodulation,[],[f2866,f738]) ).
fof(f2866,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) )
| ~ spl41_53
| ~ spl41_236 ),
inference(forward_demodulation,[],[f2864,f738]) ).
fof(f2864,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) )
| ~ spl41_236 ),
inference(avatar_component_clause,[],[f2863]) ).
fof(f2865,plain,
spl41_236,
inference(avatar_split_clause,[],[f425,f2863]) ).
fof(f425,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,[],[f256]) ).
fof(f256,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,[],[f191]) ).
fof(f191,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,[],[f169,f190,f189,f188]) ).
fof(f188,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(f189,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(f190,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(f169,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,[],[f168]) ).
fof(f168,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,[],[f114]) ).
fof(f114,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/sandbox/benchmark/theBenchmark.p',matrix_symm_joseph_update) ).
fof(f2828,plain,
( spl41_235
| ~ spl41_53
| ~ spl41_234 ),
inference(avatar_split_clause,[],[f2821,f2816,f736,f2826]) ).
fof(f2826,plain,
( spl41_235
<=> ! [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,[spl41_235])]) ).
fof(f2816,plain,
( spl41_234
<=> ! [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,[spl41_234])]) ).
fof(f2821,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) )
| ~ spl41_53
| ~ spl41_234 ),
inference(forward_demodulation,[],[f2820,f738]) ).
fof(f2820,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) )
| ~ spl41_53
| ~ spl41_234 ),
inference(forward_demodulation,[],[f2819,f738]) ).
fof(f2819,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) )
| ~ spl41_53
| ~ spl41_234 ),
inference(forward_demodulation,[],[f2817,f738]) ).
fof(f2817,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) )
| ~ spl41_234 ),
inference(avatar_component_clause,[],[f2816]) ).
fof(f2818,plain,
spl41_234,
inference(avatar_split_clause,[],[f352,f2816]) ).
fof(f352,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,[],[f206]) ).
fof(f206,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,[],[f175]) ).
fof(f175,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,[],[f143,f174]) ).
fof(f174,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(f143,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,[],[f142]) ).
fof(f142,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,[],[f101]) ).
fof(f101,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/sandbox/benchmark/theBenchmark.p',matrix_symm_update_diagonal) ).
fof(f2748,plain,
( spl41_233
| ~ spl41_53
| ~ spl41_231 ),
inference(avatar_split_clause,[],[f2740,f2736,f736,f2746]) ).
fof(f2746,plain,
( spl41_233
<=> ! [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,[spl41_233])]) ).
fof(f2736,plain,
( spl41_231
<=> ! [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,[spl41_231])]) ).
fof(f2740,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) )
| ~ spl41_53
| ~ spl41_231 ),
inference(forward_demodulation,[],[f2739,f738]) ).
fof(f2739,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) )
| ~ spl41_53
| ~ spl41_231 ),
inference(forward_demodulation,[],[f2737,f738]) ).
fof(f2737,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) )
| ~ spl41_231 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f2744,plain,
( spl41_232
| ~ spl41_53
| ~ spl41_230 ),
inference(avatar_split_clause,[],[f2734,f2730,f736,f2742]) ).
fof(f2742,plain,
( spl41_232
<=> ! [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,[spl41_232])]) ).
fof(f2730,plain,
( spl41_230
<=> ! [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,[spl41_230])]) ).
fof(f2734,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) )
| ~ spl41_53
| ~ spl41_230 ),
inference(forward_demodulation,[],[f2733,f738]) ).
fof(f2733,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) )
| ~ spl41_53
| ~ spl41_230 ),
inference(forward_demodulation,[],[f2731,f738]) ).
fof(f2731,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) )
| ~ spl41_230 ),
inference(avatar_component_clause,[],[f2730]) ).
fof(f2738,plain,
spl41_231,
inference(avatar_split_clause,[],[f400,f2736]) ).
fof(f400,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,[],[f239]) ).
fof(f239,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,[],[f185]) ).
fof(f185,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,[],[f159,f184]) ).
fof(f184,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(f159,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,[],[f158]) ).
fof(f158,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,[],[f109]) ).
fof(f109,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/sandbox/benchmark/theBenchmark.p',matrix_symm_aba2) ).
fof(f2732,plain,
spl41_230,
inference(avatar_split_clause,[],[f389,f2730]) ).
fof(f389,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,[],[f232]) ).
fof(f232,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,[],[f183]) ).
fof(f183,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,[],[f153,f182]) ).
fof(f182,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(f153,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,[],[f152]) ).
fof(f152,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,[],[f105]) ).
fof(f105,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/sandbox/benchmark/theBenchmark.p',matrix_symm_aba1) ).
fof(f2662,plain,
( spl41_229
| ~ spl41_53
| ~ spl41_227 ),
inference(avatar_split_clause,[],[f2645,f2641,f736,f2660]) ).
fof(f2660,plain,
( spl41_229
<=> ! [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,[spl41_229])]) ).
fof(f2641,plain,
( spl41_227
<=> ! [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,[spl41_227])]) ).
fof(f2645,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) )
| ~ spl41_53
| ~ spl41_227 ),
inference(forward_demodulation,[],[f2644,f738]) ).
fof(f2644,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) )
| ~ spl41_53
| ~ spl41_227 ),
inference(forward_demodulation,[],[f2642,f738]) ).
fof(f2642,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) )
| ~ spl41_227 ),
inference(avatar_component_clause,[],[f2641]) ).
fof(f2649,plain,
( spl41_228
| ~ spl41_53
| ~ spl41_226 ),
inference(avatar_split_clause,[],[f2639,f2635,f736,f2647]) ).
fof(f2647,plain,
( spl41_228
<=> ! [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,[spl41_228])]) ).
fof(f2635,plain,
( spl41_226
<=> ! [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,[spl41_226])]) ).
fof(f2639,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) )
| ~ spl41_53
| ~ spl41_226 ),
inference(forward_demodulation,[],[f2638,f738]) ).
fof(f2638,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) )
| ~ spl41_53
| ~ spl41_226 ),
inference(forward_demodulation,[],[f2636,f738]) ).
fof(f2636,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) )
| ~ spl41_226 ),
inference(avatar_component_clause,[],[f2635]) ).
fof(f2643,plain,
spl41_227,
inference(avatar_split_clause,[],[f383,f2641]) ).
fof(f383,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,[],[f227]) ).
fof(f227,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,[],[f181]) ).
fof(f181,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,[],[f151,f180,f179]) ).
fof(f179,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(f180,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(f151,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,[],[f150]) ).
fof(f150,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,[],[f104]) ).
fof(f104,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/sandbox/benchmark/theBenchmark.p',matrix_symm_add) ).
fof(f2637,plain,
spl41_226,
inference(avatar_split_clause,[],[f372,f2635]) ).
fof(f372,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,[],[f218]) ).
fof(f218,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,[],[f178]) ).
fof(f178,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,[],[f149,f177,f176]) ).
fof(f176,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(f177,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(f149,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,[],[f148]) ).
fof(f148,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,[],[f103]) ).
fof(f103,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/sandbox/benchmark/theBenchmark.p',matrix_symm_sub) ).
fof(f2600,plain,
( spl41_225
| ~ spl41_53
| ~ spl41_224 ),
inference(avatar_split_clause,[],[f2596,f2592,f736,f2598]) ).
fof(f2598,plain,
( spl41_225
<=> ! [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,[spl41_225])]) ).
fof(f2592,plain,
( spl41_224
<=> ! [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,[spl41_224])]) ).
fof(f2596,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) )
| ~ spl41_53
| ~ spl41_224 ),
inference(forward_demodulation,[],[f2595,f738]) ).
fof(f2595,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) )
| ~ spl41_53
| ~ spl41_224 ),
inference(forward_demodulation,[],[f2593,f738]) ).
fof(f2593,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) )
| ~ spl41_224 ),
inference(avatar_component_clause,[],[f2592]) ).
fof(f2594,plain,
spl41_224,
inference(avatar_split_clause,[],[f407,f2592]) ).
fof(f407,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,[],[f187]) ).
fof(f187,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,[],[f163,f186]) ).
fof(f186,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(f163,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,[],[f162]) ).
fof(f162,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,[],[f111]) ).
fof(f111,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/sandbox/benchmark/theBenchmark.p',sel3_update_3) ).
fof(f2524,plain,
( spl41_223
| ~ spl41_53
| ~ spl41_219 ),
inference(avatar_split_clause,[],[f2507,f2503,f736,f2522]) ).
fof(f2522,plain,
( spl41_223
<=> ! [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,[spl41_223])]) ).
fof(f2503,plain,
( spl41_219
<=> ! [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,[spl41_219])]) ).
fof(f2507,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) )
| ~ spl41_53
| ~ spl41_219 ),
inference(forward_demodulation,[],[f2506,f738]) ).
fof(f2506,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) )
| ~ spl41_53
| ~ spl41_219 ),
inference(forward_demodulation,[],[f2504,f738]) ).
fof(f2504,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) )
| ~ spl41_219 ),
inference(avatar_component_clause,[],[f2503]) ).
fof(f2520,plain,
( spl41_222
| ~ spl41_53
| ~ spl41_218 ),
inference(avatar_split_clause,[],[f2501,f2497,f736,f2518]) ).
fof(f2518,plain,
( spl41_222
<=> ! [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,[spl41_222])]) ).
fof(f2497,plain,
( spl41_218
<=> ! [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,[spl41_218])]) ).
fof(f2501,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) )
| ~ spl41_53
| ~ spl41_218 ),
inference(forward_demodulation,[],[f2500,f738]) ).
fof(f2500,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) )
| ~ spl41_53
| ~ spl41_218 ),
inference(forward_demodulation,[],[f2498,f738]) ).
fof(f2498,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) )
| ~ spl41_218 ),
inference(avatar_component_clause,[],[f2497]) ).
fof(f2516,plain,
( spl41_220
| spl41_221
| ~ spl41_4
| ~ spl41_53
| ~ spl41_155 ),
inference(avatar_split_clause,[],[f1480,f1373,f736,f489,f2513,f2509]) ).
fof(f2513,plain,
( spl41_221
<=> gt(sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_221])]) ).
fof(f1373,plain,
( spl41_155
<=> ! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_155])]) ).
fof(f1480,plain,
( gt(sK13,tptp_float_0_0)
| tptp_float_0_0 = sK13
| ~ spl41_4
| ~ spl41_53
| ~ spl41_155 ),
inference(forward_demodulation,[],[f1479,f738]) ).
fof(f1479,plain,
( tptp_float_0_0 = sK13
| gt(sK13,n0)
| ~ spl41_4
| ~ spl41_53
| ~ spl41_155 ),
inference(forward_demodulation,[],[f1423,f738]) ).
fof(f1423,plain,
( n0 = sK13
| gt(sK13,n0)
| ~ spl41_4
| ~ spl41_155 ),
inference(resolution,[],[f1374,f491]) ).
fof(f1374,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) )
| ~ spl41_155 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f2505,plain,
spl41_219,
inference(avatar_split_clause,[],[f346,f2503]) ).
fof(f346,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,[],[f202]) ).
fof(f202,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,[],[f173]) ).
fof(f173,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,[],[f141,f172]) ).
fof(f172,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(f141,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,[],[f140]) ).
fof(f140,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,[],[f100]) ).
fof(f100,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/sandbox/benchmark/theBenchmark.p',matrix_symm_trans) ).
fof(f2499,plain,
spl41_218,
inference(avatar_split_clause,[],[f340,f2497]) ).
fof(f340,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,[],[f198]) ).
fof(f198,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,[],[f171]) ).
fof(f171,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,[],[f139,f170]) ).
fof(f170,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(f139,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,[],[f138]) ).
fof(f138,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,[],[f99]) ).
fof(f99,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/sandbox/benchmark/theBenchmark.p',matrix_symm_inv) ).
fof(f2430,plain,
spl41_217,
inference(avatar_split_clause,[],[f409,f2428]) ).
fof(f2428,plain,
( spl41_217
<=> ! [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,[spl41_217])]) ).
fof(f409,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,[],[f167]) ).
fof(f167,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,[],[f166]) ).
fof(f166,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,[],[f113]) ).
fof(f113,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/sandbox/benchmark/theBenchmark.p',const_array2_select) ).
fof(f2395,plain,
( spl41_216
| ~ spl41_53
| ~ spl41_215 ),
inference(avatar_split_clause,[],[f2391,f2387,f736,f2393]) ).
fof(f2393,plain,
( spl41_216
<=> ! [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,[spl41_216])]) ).
fof(f2387,plain,
( spl41_215
<=> ! [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,[spl41_215])]) ).
fof(f2391,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) )
| ~ spl41_53
| ~ spl41_215 ),
inference(forward_demodulation,[],[f2390,f738]) ).
fof(f2390,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl41_53
| ~ spl41_215 ),
inference(forward_demodulation,[],[f2388,f738]) ).
fof(f2388,plain,
( ! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) )
| ~ spl41_215 ),
inference(avatar_component_clause,[],[f2387]) ).
fof(f2389,plain,
spl41_215,
inference(avatar_split_clause,[],[f321,f2387]) ).
fof(f321,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f2384,plain,
( spl41_214
| ~ spl41_53
| ~ spl41_213 ),
inference(avatar_split_clause,[],[f2380,f2377,f736,f2382]) ).
fof(f2382,plain,
( spl41_214
<=> ! [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,sK30(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_214])]) ).
fof(f2377,plain,
( spl41_213
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK30(X1,X2,X3)) != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_213])]) ).
fof(f2380,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,sK30(X1,X2,X3)) != X3 )
| ~ spl41_53
| ~ spl41_213 ),
inference(forward_demodulation,[],[f2378,f738]) ).
fof(f2378,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK30(X1,X2,X3)) != X3 )
| ~ spl41_213 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f2379,plain,
spl41_213,
inference(avatar_split_clause,[],[f394,f2377]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| a_select2(X2,sK30(X1,X2,X3)) != X3 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| ( a_select2(X2,sK30(X1,X2,X3)) != X3
& leq(sK30(X1,X2,X3),X1)
& leq(n0,sK30(X1,X2,X3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f157,f233]) ).
fof(f233,plain,
! [X1,X2,X3] :
( ? [X4] :
( a_select2(X2,X4) != X3
& leq(X4,X1)
& leq(n0,X4) )
=> ( a_select2(X2,sK30(X1,X2,X3)) != X3
& leq(sK30(X1,X2,X3),X1)
& leq(n0,sK30(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,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,[],[f156]) ).
fof(f156,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,[],[f108]) ).
fof(f108,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/sandbox/benchmark/theBenchmark.p',sel2_update_3) ).
fof(f2344,plain,
( spl41_212
| ~ spl41_53
| ~ spl41_211 ),
inference(avatar_split_clause,[],[f2340,f2336,f736,f2342]) ).
fof(f2342,plain,
( spl41_212
<=> ! [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,[spl41_212])]) ).
fof(f2336,plain,
( spl41_211
<=> ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_211])]) ).
fof(f2340,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4) )
| ~ spl41_53
| ~ spl41_211 ),
inference(forward_demodulation,[],[f2339,f738]) ).
fof(f2339,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl41_53
| ~ spl41_211 ),
inference(forward_demodulation,[],[f2337,f738]) ).
fof(f2337,plain,
( ! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ spl41_211 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f2338,plain,
spl41_211,
inference(avatar_split_clause,[],[f325,f2336]) ).
fof(f325,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n4)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> ( n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f2272,plain,
( spl41_210
| ~ spl41_53
| ~ spl41_202 ),
inference(avatar_split_clause,[],[f2237,f2234,f736,f2270]) ).
fof(f2270,plain,
( spl41_210
<=> ! [X0,X3,X2,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK30(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_210])]) ).
fof(f2234,plain,
( spl41_202
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK30(X1,X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_202])]) ).
fof(f2237,plain,
( ! [X2,X3,X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| leq(sK30(X1,X2,X3),X1) )
| ~ spl41_53
| ~ spl41_202 ),
inference(forward_demodulation,[],[f2235,f738]) ).
fof(f2235,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK30(X1,X2,X3),X1) )
| ~ spl41_202 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f2266,plain,
( spl41_209
| ~ spl41_53
| ~ spl41_201 ),
inference(avatar_split_clause,[],[f2232,f2228,f736,f2264]) ).
fof(f2264,plain,
( spl41_209
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK30(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,[spl41_209])]) ).
fof(f2228,plain,
( spl41_201
<=> ! [X0,X3,X2,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30(X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_201])]) ).
fof(f2232,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK30(X1,X2,X3))
| ~ leq(tptp_float_0_0,X0)
| a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1) )
| ~ spl41_53
| ~ spl41_201 ),
inference(forward_demodulation,[],[f2231,f738]) ).
fof(f2231,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,sK30(X1,X2,X3)) )
| ~ spl41_53
| ~ spl41_201 ),
inference(forward_demodulation,[],[f2229,f738]) ).
fof(f2229,plain,
( ! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30(X1,X2,X3)) )
| ~ spl41_201 ),
inference(avatar_component_clause,[],[f2228]) ).
fof(f2262,plain,
spl41_208,
inference(avatar_split_clause,[],[f424,f2260]) ).
fof(f2260,plain,
( spl41_208
<=> ! [X0,X1] :
( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_208])]) ).
fof(f424,plain,
! [X0,X1] :
( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( ( a_select3(X0,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
& leq(sK40(X0,X1),X1)
& leq(n0,sK40(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1)) )
| ~ sP10(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f253,f254]) ).
fof(f254,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,sK39(X0,X1),sK40(X0,X1)) != a_select3(X0,sK40(X0,X1),sK39(X0,X1))
& leq(sK40(X0,X1),X1)
& leq(n0,sK40(X0,X1))
& leq(sK39(X0,X1),X1)
& leq(n0,sK39(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f253,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,[],[f252]) ).
fof(f252,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,[],[f188]) ).
fof(f2258,plain,
( spl41_206
| spl41_207
| ~ spl41_5
| ~ spl41_155 ),
inference(avatar_split_clause,[],[f1454,f1373,f494,f2255,f2251]) ).
fof(f2251,plain,
( spl41_206
<=> gt(n4,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_206])]) ).
fof(f2255,plain,
( spl41_207
<=> n4 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_207])]) ).
fof(f1454,plain,
( n4 = sK13
| gt(n4,sK13)
| ~ spl41_5
| ~ spl41_155 ),
inference(resolution,[],[f1374,f496]) ).
fof(f2249,plain,
spl41_205,
inference(avatar_split_clause,[],[f419,f2247]) ).
fof(f2247,plain,
( spl41_205
<=> ! [X0,X1] :
( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_205])]) ).
fof(f419,plain,
! [X0,X1] :
( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( ( a_select3(X0,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f249,f250]) ).
fof(f250,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,sK37(X0,X1),sK38(X0,X1)) != a_select3(X0,sK38(X0,X1),sK37(X0,X1))
& leq(sK38(X0,X1),X1)
& leq(n0,sK38(X0,X1))
& leq(sK37(X0,X1),X1)
& leq(n0,sK37(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f249,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,[],[f248]) ).
fof(f248,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,[],[f189]) ).
fof(f2245,plain,
spl41_204,
inference(avatar_split_clause,[],[f414,f2243]) ).
fof(f2243,plain,
( spl41_204
<=> ! [X0,X1] :
( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_204])]) ).
fof(f414,plain,
! [X0,X1] :
( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( ( a_select3(X0,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1)) )
| ~ sP12(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f245,f246]) ).
fof(f246,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,sK35(X0,X1),sK36(X0,X1)) != a_select3(X0,sK36(X0,X1),sK35(X0,X1))
& leq(sK36(X0,X1),X1)
& leq(n0,sK36(X0,X1))
& leq(sK35(X0,X1),X1)
& leq(n0,sK35(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f245,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,[],[f244]) ).
fof(f244,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,[],[f190]) ).
fof(f2241,plain,
spl41_203,
inference(avatar_split_clause,[],[f399,f2239]) ).
fof(f2239,plain,
( spl41_203
<=> ! [X0,X1] :
( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_203])]) ).
fof(f399,plain,
! [X0,X1] :
( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0,X1] :
( ( a_select3(X0,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
& leq(sK32(X0,X1),X1)
& leq(n0,sK32(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1)) )
| ~ sP8(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f236,f237]) ).
fof(f237,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,sK31(X0,X1),sK32(X0,X1)) != a_select3(X0,sK32(X0,X1),sK31(X0,X1))
& leq(sK32(X0,X1),X1)
& leq(n0,sK32(X0,X1))
& leq(sK31(X0,X1),X1)
& leq(n0,sK31(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f236,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,[],[f235]) ).
fof(f235,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,[],[f184]) ).
fof(f2236,plain,
spl41_202,
inference(avatar_split_clause,[],[f393,f2234]) ).
fof(f393,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(sK30(X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f2230,plain,
spl41_201,
inference(avatar_split_clause,[],[f392,f2228]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( a_select2(tptp_update2(X2,X1,X3),X0) = X3
| ~ leq(X0,X1)
| ~ leq(n0,X0)
| leq(n0,sK30(X1,X2,X3)) ),
inference(cnf_transformation,[],[f234]) ).
fof(f2226,plain,
spl41_200,
inference(avatar_split_clause,[],[f388,f2224]) ).
fof(f2224,plain,
( spl41_200
<=> ! [X0,X1] :
( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_200])]) ).
fof(f388,plain,
! [X0,X1] :
( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ( a_select3(X0,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
& leq(sK29(X0,X1),X1)
& leq(n0,sK29(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1)) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f229,f230]) ).
fof(f230,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,sK28(X0,X1),sK29(X0,X1)) != a_select3(X0,sK29(X0,X1),sK28(X0,X1))
& leq(sK29(X0,X1),X1)
& leq(n0,sK29(X0,X1))
& leq(sK28(X0,X1),X1)
& leq(n0,sK28(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,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,[],[f228]) ).
fof(f228,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,[],[f182]) ).
fof(f2222,plain,
spl41_199,
inference(avatar_split_clause,[],[f382,f2220]) ).
fof(f2220,plain,
( spl41_199
<=> ! [X0,X1] :
( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_199])]) ).
fof(f382,plain,
! [X0,X1] :
( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( ( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1)) )
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f224,f225]) ).
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) )
=> ( a_select3(X0,sK26(X0,X1),sK27(X0,X1)) != a_select3(X0,sK27(X0,X1),sK26(X0,X1))
& leq(sK27(X0,X1),X1)
& leq(n0,sK27(X0,X1))
& leq(sK26(X0,X1),X1)
& leq(n0,sK26(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f224,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,[],[f223]) ).
fof(f223,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,[],[f179]) ).
fof(f2218,plain,
spl41_198,
inference(avatar_split_clause,[],[f377,f2216]) ).
fof(f2216,plain,
( spl41_198
<=> ! [X0,X1] :
( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_198])]) ).
fof(f377,plain,
! [X0,X1] :
( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( ( a_select3(X0,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f220,f221]) ).
fof(f221,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,sK24(X0,X1),sK25(X0,X1)) != a_select3(X0,sK25(X0,X1),sK24(X0,X1))
& leq(sK25(X0,X1),X1)
& leq(n0,sK25(X0,X1))
& leq(sK24(X0,X1),X1)
& leq(n0,sK24(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,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,[],[f219]) ).
fof(f219,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,[],[f180]) ).
fof(f2214,plain,
spl41_197,
inference(avatar_split_clause,[],[f371,f2212]) ).
fof(f2212,plain,
( spl41_197
<=> ! [X0,X1] :
( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_197])]) ).
fof(f371,plain,
! [X0,X1] :
( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ( a_select3(X0,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1)) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f215,f216]) ).
fof(f216,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,sK22(X0,X1),sK23(X0,X1)) != a_select3(X0,sK23(X0,X1),sK22(X0,X1))
& leq(sK23(X0,X1),X1)
& leq(n0,sK23(X0,X1))
& leq(sK22(X0,X1),X1)
& leq(n0,sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f215,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,[],[f214]) ).
fof(f214,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,[],[f176]) ).
fof(f2210,plain,
spl41_196,
inference(avatar_split_clause,[],[f366,f2208]) ).
fof(f2208,plain,
( spl41_196
<=> ! [X0,X1] :
( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_196])]) ).
fof(f366,plain,
! [X0,X1] :
( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( ( a_select3(X0,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f211,f212]) ).
fof(f212,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,sK20(X0,X1),sK21(X0,X1)) != a_select3(X0,sK21(X0,X1),sK20(X0,X1))
& leq(sK21(X0,X1),X1)
& leq(n0,sK21(X0,X1))
& leq(sK20(X0,X1),X1)
& leq(n0,sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f211,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,[],[f210]) ).
fof(f210,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,[],[f177]) ).
fof(f2206,plain,
spl41_195,
inference(avatar_split_clause,[],[f351,f2204]) ).
fof(f2204,plain,
( spl41_195
<=> ! [X0,X1] :
( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_195])]) ).
fof(f351,plain,
! [X0,X1] :
( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( ( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1)) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f203,f204]) ).
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) )
=> ( a_select3(X0,sK18(X0,X1),sK19(X0,X1)) != a_select3(X0,sK19(X0,X1),sK18(X0,X1))
& leq(sK19(X0,X1),X1)
& leq(n0,sK19(X0,X1))
& leq(sK18(X0,X1),X1)
& leq(n0,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f203,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,[],[f174]) ).
fof(f2202,plain,
spl41_194,
inference(avatar_split_clause,[],[f345,f2200]) ).
fof(f2200,plain,
( spl41_194
<=> ! [X0,X1] :
( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_194])]) ).
fof(f345,plain,
! [X0,X1] :
( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( ( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f199,f200]) ).
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) )
=> ( a_select3(X0,sK16(X0,X1),sK17(X0,X1)) != a_select3(X0,sK17(X0,X1),sK16(X0,X1))
& leq(sK17(X0,X1),X1)
& leq(n0,sK17(X0,X1))
& leq(sK16(X0,X1),X1)
& leq(n0,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,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,[],[f172]) ).
fof(f2198,plain,
spl41_193,
inference(avatar_split_clause,[],[f339,f2196]) ).
fof(f2196,plain,
( spl41_193
<=> ! [X0,X1] :
( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_193])]) ).
fof(f339,plain,
! [X0,X1] :
( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( a_select3(X0,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f195,f196]) ).
fof(f196,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,sK14(X0,X1),sK15(X0,X1)) != a_select3(X0,sK15(X0,X1),sK14(X0,X1))
& leq(sK15(X0,X1),X1)
& leq(n0,sK15(X0,X1))
& leq(sK14(X0,X1),X1)
& leq(n0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f195,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,[],[f170]) ).
fof(f2194,plain,
spl41_192,
inference(avatar_split_clause,[],[f406,f2192]) ).
fof(f2192,plain,
( spl41_192
<=> ! [X0,X3,X2,X1] :
( a_select3(X1,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_192])]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( a_select3(X1,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)) != X0
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( ( a_select3(X1,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)) != X0
& leq(sK34(X0,X1,X2,X3),X2)
& leq(sK33(X0,X1,X2,X3),X3)
& leq(n0,sK34(X0,X1,X2,X3))
& leq(n0,sK33(X0,X1,X2,X3)) )
| ~ sP9(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f241,f242]) ).
fof(f242,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,sK33(X0,X1,X2,X3),sK34(X0,X1,X2,X3)) != X0
& leq(sK34(X0,X1,X2,X3),X2)
& leq(sK33(X0,X1,X2,X3),X3)
& leq(n0,sK34(X0,X1,X2,X3))
& leq(n0,sK33(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f241,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,[],[f240]) ).
fof(f240,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,[],[f186]) ).
fof(f2159,plain,
( spl41_191
| ~ spl41_53
| ~ spl41_190 ),
inference(avatar_split_clause,[],[f2155,f2151,f736,f2157]) ).
fof(f2157,plain,
( spl41_191
<=> ! [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,[spl41_191])]) ).
fof(f2151,plain,
( spl41_190
<=> ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_190])]) ).
fof(f2155,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3) )
| ~ spl41_53
| ~ spl41_190 ),
inference(forward_demodulation,[],[f2154,f738]) ).
fof(f2154,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl41_53
| ~ spl41_190 ),
inference(forward_demodulation,[],[f2152,f738]) ).
fof(f2152,plain,
( ! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) )
| ~ spl41_190 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f2153,plain,
spl41_190,
inference(avatar_split_clause,[],[f322,f2151]) ).
fof(f322,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_3) ).
fof(f2147,plain,
spl41_189,
inference(avatar_split_clause,[],[f454,f2145]) ).
fof(f2145,plain,
( spl41_189
<=> ! [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,[spl41_189])]) ).
fof(f454,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,[],[f453]) ).
fof(f453,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,[],[f408]) ).
fof(f408,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,[],[f165]) ).
fof(f165,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,[],[f164]) ).
fof(f164,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,[],[f112]) ).
fof(f112,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/sandbox/benchmark/theBenchmark.p',sel3_update_2) ).
fof(f2045,plain,
( spl41_188
| ~ spl41_53
| ~ spl41_186 ),
inference(avatar_split_clause,[],[f2037,f2033,f736,f2043]) ).
fof(f2043,plain,
( spl41_188
<=> ! [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,[spl41_188])]) ).
fof(f2033,plain,
( spl41_186
<=> ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_186])]) ).
fof(f2037,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2) )
| ~ spl41_53
| ~ spl41_186 ),
inference(forward_demodulation,[],[f2036,f738]) ).
fof(f2036,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n2 = X0
| n1 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl41_53
| ~ spl41_186 ),
inference(forward_demodulation,[],[f2034,f738]) ).
fof(f2034,plain,
( ! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) )
| ~ spl41_186 ),
inference(avatar_component_clause,[],[f2033]) ).
fof(f2041,plain,
spl41_187,
inference(avatar_split_clause,[],[f391,f2039]) ).
fof(f391,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,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_const_array1(dim(X1,X2),X3),X0) = X3
| ~ leq(X0,X2)
| ~ leq(X1,X0) ),
inference(flattening,[],[f154]) ).
fof(f154,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,[],[f107]) ).
fof(f107,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/sandbox/benchmark/theBenchmark.p',const_array1_select) ).
fof(f2035,plain,
spl41_186,
inference(avatar_split_clause,[],[f323,f2033]) ).
fof(f323,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f2029,plain,
spl41_185,
inference(avatar_split_clause,[],[f452,f2027]) ).
fof(f2027,plain,
( spl41_185
<=> ! [X2,X4,X0,X1] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_185])]) ).
fof(f452,plain,
! [X2,X0,X1,X4] :
( a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1)
| X0 = X1 ),
inference(equality_resolution,[],[f401]) ).
fof(f401,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,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(flattening,[],[f160]) ).
fof(f160,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,[],[f110]) ).
fof(f110,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/sandbox/benchmark/theBenchmark.p',sel2_update_2) ).
fof(f1986,plain,
( spl41_183
| spl41_184
| ~ spl41_1
| ~ spl41_155 ),
inference(avatar_split_clause,[],[f1452,f1373,f474,f1983,f1979]) ).
fof(f1979,plain,
( spl41_183
<=> gt(pv76,tptp_float_0_001) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_183])]) ).
fof(f1983,plain,
( spl41_184
<=> tptp_float_0_001 = pv76 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_184])]) ).
fof(f1452,plain,
( tptp_float_0_001 = pv76
| gt(pv76,tptp_float_0_001)
| ~ spl41_1
| ~ spl41_155 ),
inference(resolution,[],[f1374,f476]) ).
fof(f1971,plain,
( spl41_182
| ~ spl41_53
| ~ spl41_177 ),
inference(avatar_split_clause,[],[f1951,f1948,f736,f1969]) ).
fof(f1969,plain,
( spl41_182
<=> ! [X0,X3,X2,X1] :
( leq(tptp_float_0_0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_182])]) ).
fof(f1948,plain,
( spl41_177
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_177])]) ).
fof(f1951,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_53
| ~ spl41_177 ),
inference(forward_demodulation,[],[f1949,f738]) ).
fof(f1949,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_177 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f1967,plain,
( spl41_181
| ~ spl41_53
| ~ spl41_176 ),
inference(avatar_split_clause,[],[f1946,f1943,f736,f1965]) ).
fof(f1965,plain,
( spl41_181
<=> ! [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,[spl41_181])]) ).
fof(f1943,plain,
( spl41_176
<=> ! [X0,X3,X2,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_176])]) ).
fof(f1946,plain,
( ! [X2,X3,X0,X1] :
( leq(tptp_float_0_0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_53
| ~ spl41_176 ),
inference(forward_demodulation,[],[f1944,f738]) ).
fof(f1944,plain,
( ! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) )
| ~ spl41_176 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f1963,plain,
( spl41_180
| ~ spl41_53
| ~ spl41_175 ),
inference(avatar_split_clause,[],[f1941,f1937,f736,f1961]) ).
fof(f1961,plain,
( spl41_180
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_180])]) ).
fof(f1937,plain,
( spl41_175
<=> ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_175])]) ).
fof(f1941,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1) )
| ~ spl41_53
| ~ spl41_175 ),
inference(forward_demodulation,[],[f1940,f738]) ).
fof(f1940,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| n1 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl41_53
| ~ spl41_175 ),
inference(forward_demodulation,[],[f1938,f738]) ).
fof(f1938,plain,
( ! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) )
| ~ spl41_175 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f1959,plain,
spl41_179,
inference(avatar_split_clause,[],[f405,f1957]) ).
fof(f1957,plain,
( spl41_179
<=> ! [X0,X3,X2,X1] :
( leq(sK34(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_179])]) ).
fof(f405,plain,
! [X2,X3,X0,X1] :
( leq(sK34(X0,X1,X2,X3),X2)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1955,plain,
spl41_178,
inference(avatar_split_clause,[],[f404,f1953]) ).
fof(f1953,plain,
( spl41_178
<=> ! [X0,X3,X2,X1] :
( leq(sK33(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_178])]) ).
fof(f404,plain,
! [X2,X3,X0,X1] :
( leq(sK33(X0,X1,X2,X3),X3)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1950,plain,
spl41_177,
inference(avatar_split_clause,[],[f403,f1948]) ).
fof(f403,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK34(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1945,plain,
spl41_176,
inference(avatar_split_clause,[],[f402,f1943]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( leq(n0,sK33(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
fof(f1939,plain,
spl41_175,
inference(avatar_split_clause,[],[f324,f1937]) ).
fof(f324,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f1867,plain,
spl41_174,
inference(avatar_split_clause,[],[f472,f1865]) ).
fof(f1865,plain,
( spl41_174
<=> ! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_174])]) ).
fof(f472,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f471,f436]) ).
fof(f436,plain,
! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f313,f309,f309]) ).
fof(f309,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f313,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/sandbox/benchmark/theBenchmark.p',succ_plus_2_l) ).
fof(f471,plain,
! [X0] : plus(n5,X0) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f443,f436]) ).
fof(f443,plain,
! [X0] : plus(n5,X0) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f320,f309,f309,f309,f309,f309]) ).
fof(f320,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/sandbox/benchmark/theBenchmark.p',succ_plus_5_l) ).
fof(f1863,plain,
spl41_173,
inference(avatar_split_clause,[],[f470,f1861]) ).
fof(f1861,plain,
( spl41_173
<=> ! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_173])]) ).
fof(f470,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(n2,X0)),n1),
inference(forward_demodulation,[],[f469,f436]) ).
fof(f469,plain,
! [X0] : plus(X0,n5) = plus(plus(n2,plus(plus(X0,n1),n1)),n1),
inference(forward_demodulation,[],[f442,f436]) ).
fof(f442,plain,
! [X0] : plus(X0,n5) = plus(plus(plus(plus(plus(X0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f319,f309,f309,f309,f309,f309]) ).
fof(f319,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/sandbox/benchmark/theBenchmark.p',succ_plus_5_r) ).
fof(f1831,plain,
( spl41_172
| ~ spl41_159
| ~ spl41_161
| ~ spl41_171 ),
inference(avatar_split_clause,[],[f1827,f1824,f1398,f1390,f1829]) ).
fof(f1829,plain,
( spl41_172
<=> ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_172])]) ).
fof(f1398,plain,
( spl41_161
<=> ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_161])]) ).
fof(f1824,plain,
( spl41_171
<=> ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_171])]) ).
fof(f1827,plain,
( ! [X0] : plus(n4,X0) = plus(plus(X0,n3),n1)
| ~ spl41_159
| ~ spl41_161
| ~ spl41_171 ),
inference(forward_demodulation,[],[f1825,f1600]) ).
fof(f1600,plain,
( ! [X0] : plus(X0,n3) = plus(n2,plus(X0,n1))
| ~ spl41_159
| ~ spl41_161 ),
inference(forward_demodulation,[],[f1584,f1399]) ).
fof(f1399,plain,
( ! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1)
| ~ spl41_161 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1584,plain,
( ! [X0] : plus(n2,plus(X0,n1)) = plus(plus(n2,X0),n1)
| ~ spl41_159 ),
inference(superposition,[],[f1391,f1391]) ).
fof(f1825,plain,
( ! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl41_171 ),
inference(avatar_component_clause,[],[f1824]) ).
fof(f1826,plain,
spl41_171,
inference(avatar_split_clause,[],[f468,f1824]) ).
fof(f468,plain,
! [X0] : plus(n4,X0) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f441,f436]) ).
fof(f441,plain,
! [X0] : plus(n4,X0) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f318,f309,f309,f309,f309]) ).
fof(f318,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/sandbox/benchmark/theBenchmark.p',succ_plus_4_l) ).
fof(f1795,plain,
( spl41_170
| ~ spl41_159
| ~ spl41_161
| ~ spl41_169 ),
inference(avatar_split_clause,[],[f1791,f1788,f1398,f1390,f1793]) ).
fof(f1793,plain,
( spl41_170
<=> ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_170])]) ).
fof(f1788,plain,
( spl41_169
<=> ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_169])]) ).
fof(f1791,plain,
( ! [X0] : plus(X0,n4) = plus(plus(X0,n3),n1)
| ~ spl41_159
| ~ spl41_161
| ~ spl41_169 ),
inference(forward_demodulation,[],[f1789,f1600]) ).
fof(f1789,plain,
( ! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1)
| ~ spl41_169 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1790,plain,
spl41_169,
inference(avatar_split_clause,[],[f467,f1788]) ).
fof(f467,plain,
! [X0] : plus(X0,n4) = plus(plus(n2,plus(X0,n1)),n1),
inference(forward_demodulation,[],[f440,f436]) ).
fof(f440,plain,
! [X0] : plus(X0,n4) = plus(plus(plus(plus(X0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f317,f309,f309,f309,f309]) ).
fof(f317,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/sandbox/benchmark/theBenchmark.p',succ_plus_4_r) ).
fof(f1722,plain,
spl41_168,
inference(avatar_split_clause,[],[f451,f1720]) ).
fof(f1720,plain,
( spl41_168
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_168])]) ).
fof(f451,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(plus(X0,n1),plus(X1,n1)) ),
inference(definition_unfolding,[],[f357,f309,f309]) ).
fof(f357,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(succ(X0),succ(X1)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,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/sandbox/benchmark/theBenchmark.p',leq_succ_succ) ).
fof(f1718,plain,
spl41_167,
inference(avatar_split_clause,[],[f450,f1716]) ).
fof(f1716,plain,
( spl41_167
<=> ! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_167])]) ).
fof(f450,plain,
! [X0,X1] :
( leq(plus(X0,n1),plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f358,f309,f309]) ).
fof(f358,plain,
! [X0,X1] :
( leq(succ(X0),succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
fof(f1714,plain,
spl41_166,
inference(avatar_split_clause,[],[f390,f1712]) ).
fof(f1712,plain,
( spl41_166
<=> ! [X2,X0,X1,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_166])]) ).
fof(f390,plain,
! [X2,X3,X0,X1] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[],[f106]) ).
fof(f106,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/sandbox/benchmark/theBenchmark.p',sel3_update_1) ).
fof(f1611,plain,
( spl41_164
| spl41_165
| ~ spl41_2
| ~ spl41_155 ),
inference(avatar_split_clause,[],[f1451,f1373,f479,f1608,f1604]) ).
fof(f1451,plain,
( n1 = loopcounter
| gt(loopcounter,n1)
| ~ spl41_2
| ~ spl41_155 ),
inference(resolution,[],[f1374,f481]) ).
fof(f1408,plain,
( spl41_163
| ~ spl41_53
| ~ spl41_153 ),
inference(avatar_split_clause,[],[f1367,f1362,f736,f1406]) ).
fof(f1406,plain,
( spl41_163
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_163])]) ).
fof(f1362,plain,
( spl41_153
<=> ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_153])]) ).
fof(f1367,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0 )
| ~ spl41_53
| ~ spl41_153 ),
inference(forward_demodulation,[],[f1366,f738]) ).
fof(f1366,plain,
( ! [X0] :
( ~ leq(X0,tptp_float_0_0)
| tptp_float_0_0 = X0
| ~ leq(n0,X0) )
| ~ spl41_53
| ~ spl41_153 ),
inference(forward_demodulation,[],[f1365,f738]) ).
fof(f1365,plain,
( ! [X0] :
( tptp_float_0_0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl41_53
| ~ spl41_153 ),
inference(forward_demodulation,[],[f1363,f738]) ).
fof(f1363,plain,
( ! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) )
| ~ spl41_153 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1404,plain,
spl41_162,
inference(avatar_split_clause,[],[f466,f1402]) ).
fof(f1402,plain,
( spl41_162
<=> ! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_162])]) ).
fof(f466,plain,
! [X0] : plus(n3,X0) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f439,f436]) ).
fof(f439,plain,
! [X0] : plus(n3,X0) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f316,f309,f309,f309]) ).
fof(f316,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/sandbox/benchmark/theBenchmark.p',succ_plus_3_l) ).
fof(f1400,plain,
spl41_161,
inference(avatar_split_clause,[],[f465,f1398]) ).
fof(f465,plain,
! [X0] : plus(X0,n3) = plus(plus(n2,X0),n1),
inference(forward_demodulation,[],[f438,f436]) ).
fof(f438,plain,
! [X0] : plus(X0,n3) = plus(plus(plus(X0,n1),n1),n1),
inference(definition_unfolding,[],[f315,f309,f309,f309]) ).
fof(f315,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/sandbox/benchmark/theBenchmark.p',succ_plus_3_r) ).
fof(f1396,plain,
spl41_160,
inference(avatar_split_clause,[],[f437,f1394]) ).
fof(f1394,plain,
( spl41_160
<=> ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_160])]) ).
fof(f437,plain,
! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1),
inference(definition_unfolding,[],[f314,f309,f309]) ).
fof(f314,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/sandbox/benchmark/theBenchmark.p',succ_plus_2_r) ).
fof(f1392,plain,
spl41_159,
inference(avatar_split_clause,[],[f436,f1390]) ).
fof(f1388,plain,
( spl41_158
| ~ spl41_22
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f744,f736,f579,f1385]) ).
fof(f1385,plain,
( spl41_158
<=> gt(n5,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_158])]) ).
fof(f744,plain,
( gt(n5,tptp_float_0_0)
| ~ spl41_22
| ~ spl41_53 ),
inference(superposition,[],[f581,f738]) ).
fof(f1383,plain,
spl41_157,
inference(avatar_split_clause,[],[f361,f1381]) ).
fof(f361,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f146]) ).
fof(f146,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/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f1379,plain,
spl41_156,
inference(avatar_split_clause,[],[f360,f1377]) ).
fof(f360,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(flattening,[],[f144]) ).
fof(f144,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/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).
fof(f1375,plain,
spl41_155,
inference(avatar_split_clause,[],[f334,f1373]) ).
fof(f334,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,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/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f1371,plain,
spl41_154,
inference(avatar_split_clause,[],[f327,f1369]) ).
fof(f1369,plain,
( spl41_154
<=> ! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_154])]) ).
fof(f327,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/sandbox/benchmark/theBenchmark.p',totality) ).
fof(f1364,plain,
spl41_153,
inference(avatar_split_clause,[],[f326,f1362]) ).
fof(f326,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f1355,plain,
( spl41_152
| ~ spl41_15
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f742,f736,f544,f1352]) ).
fof(f1352,plain,
( spl41_152
<=> gt(n135299,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_152])]) ).
fof(f742,plain,
( gt(n135299,tptp_float_0_0)
| ~ spl41_15
| ~ spl41_53 ),
inference(superposition,[],[f546,f738]) ).
fof(f1323,plain,
( spl41_151
| ~ spl41_7
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f741,f736,f504,f1321]) ).
fof(f1321,plain,
( spl41_151
<=> ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,n4)
| init = a_select3(center_init,X0,tptp_float_0_0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_151])]) ).
fof(f741,plain,
( ! [X0] :
( ~ leq(tptp_float_0_0,X0)
| ~ leq(X0,n4)
| init = a_select3(center_init,X0,tptp_float_0_0) )
| ~ spl41_7
| ~ spl41_53 ),
inference(superposition,[],[f505,f738]) ).
fof(f1231,plain,
( spl41_150
| ~ spl41_53
| ~ spl41_113 ),
inference(avatar_split_clause,[],[f1080,f1077,f736,f1229]) ).
fof(f1229,plain,
( spl41_150
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_150])]) ).
fof(f1077,plain,
( spl41_113
<=> ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_113])]) ).
fof(f1080,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_53
| ~ spl41_113 ),
inference(forward_demodulation,[],[f1078,f738]) ).
fof(f1078,plain,
( ! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_113 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1227,plain,
( spl41_149
| ~ spl41_53
| ~ spl41_111 ),
inference(avatar_split_clause,[],[f1071,f1068,f736,f1225]) ).
fof(f1225,plain,
( spl41_149
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_149])]) ).
fof(f1068,plain,
( spl41_111
<=> ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_111])]) ).
fof(f1071,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_53
| ~ spl41_111 ),
inference(forward_demodulation,[],[f1069,f738]) ).
fof(f1069,plain,
( ! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) )
| ~ spl41_111 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1223,plain,
( spl41_148
| ~ spl41_53
| ~ spl41_109 ),
inference(avatar_split_clause,[],[f1062,f1059,f736,f1221]) ).
fof(f1221,plain,
( spl41_148
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_148])]) ).
fof(f1059,plain,
( spl41_109
<=> ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_109])]) ).
fof(f1062,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_53
| ~ spl41_109 ),
inference(forward_demodulation,[],[f1060,f738]) ).
fof(f1060,plain,
( ! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_109 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1219,plain,
( spl41_147
| ~ spl41_53
| ~ spl41_107 ),
inference(avatar_split_clause,[],[f1053,f1050,f736,f1217]) ).
fof(f1217,plain,
( spl41_147
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_147])]) ).
fof(f1050,plain,
( spl41_107
<=> ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_107])]) ).
fof(f1053,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_53
| ~ spl41_107 ),
inference(forward_demodulation,[],[f1051,f738]) ).
fof(f1051,plain,
( ! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) )
| ~ spl41_107 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1215,plain,
( spl41_146
| ~ spl41_53
| ~ spl41_105 ),
inference(avatar_split_clause,[],[f1044,f1041,f736,f1213]) ).
fof(f1213,plain,
( spl41_146
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_146])]) ).
fof(f1041,plain,
( spl41_105
<=> ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_105])]) ).
fof(f1044,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_53
| ~ spl41_105 ),
inference(forward_demodulation,[],[f1042,f738]) ).
fof(f1042,plain,
( ! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_105 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1211,plain,
( spl41_145
| ~ spl41_53
| ~ spl41_103 ),
inference(avatar_split_clause,[],[f1035,f1032,f736,f1209]) ).
fof(f1209,plain,
( spl41_145
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_145])]) ).
fof(f1032,plain,
( spl41_103
<=> ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_103])]) ).
fof(f1035,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_53
| ~ spl41_103 ),
inference(forward_demodulation,[],[f1033,f738]) ).
fof(f1033,plain,
( ! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) )
| ~ spl41_103 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1207,plain,
( spl41_144
| ~ spl41_53
| ~ spl41_101 ),
inference(avatar_split_clause,[],[f1026,f1023,f736,f1205]) ).
fof(f1205,plain,
( spl41_144
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_144])]) ).
fof(f1023,plain,
( spl41_101
<=> ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_101])]) ).
fof(f1026,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_53
| ~ spl41_101 ),
inference(forward_demodulation,[],[f1024,f738]) ).
fof(f1024,plain,
( ! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_101 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1203,plain,
( spl41_143
| ~ spl41_53
| ~ spl41_99 ),
inference(avatar_split_clause,[],[f1017,f1014,f736,f1201]) ).
fof(f1201,plain,
( spl41_143
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_143])]) ).
fof(f1014,plain,
( spl41_99
<=> ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_99])]) ).
fof(f1017,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_53
| ~ spl41_99 ),
inference(forward_demodulation,[],[f1015,f738]) ).
fof(f1015,plain,
( ! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) )
| ~ spl41_99 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1199,plain,
( spl41_142
| ~ spl41_53
| ~ spl41_97 ),
inference(avatar_split_clause,[],[f1008,f1005,f736,f1197]) ).
fof(f1197,plain,
( spl41_142
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_142])]) ).
fof(f1005,plain,
( spl41_97
<=> ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_97])]) ).
fof(f1008,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_53
| ~ spl41_97 ),
inference(forward_demodulation,[],[f1006,f738]) ).
fof(f1006,plain,
( ! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_97 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1195,plain,
( spl41_141
| ~ spl41_53
| ~ spl41_95 ),
inference(avatar_split_clause,[],[f999,f996,f736,f1193]) ).
fof(f1193,plain,
( spl41_141
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_141])]) ).
fof(f996,plain,
( spl41_95
<=> ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_95])]) ).
fof(f999,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_53
| ~ spl41_95 ),
inference(forward_demodulation,[],[f997,f738]) ).
fof(f997,plain,
( ! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl41_95 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1191,plain,
( spl41_140
| ~ spl41_53
| ~ spl41_93 ),
inference(avatar_split_clause,[],[f990,f987,f736,f1189]) ).
fof(f1189,plain,
( spl41_140
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_140])]) ).
fof(f987,plain,
( spl41_93
<=> ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_93])]) ).
fof(f990,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_53
| ~ spl41_93 ),
inference(forward_demodulation,[],[f988,f738]) ).
fof(f988,plain,
( ! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_93 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f1187,plain,
( ~ spl41_139
| spl41_40
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f750,f736,f668,f1184]) ).
fof(f750,plain,
( init != a_select3(center_init,tptp_float_0_0,tptp_float_0_0)
| spl41_40
| ~ spl41_53 ),
inference(superposition,[],[f669,f738]) ).
fof(f669,plain,
( init != a_select3(center_init,n0,n0)
| spl41_40 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f1182,plain,
( spl41_138
| ~ spl41_53
| ~ spl41_91 ),
inference(avatar_split_clause,[],[f981,f978,f736,f1180]) ).
fof(f1180,plain,
( spl41_138
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_138])]) ).
fof(f978,plain,
( spl41_91
<=> ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_91])]) ).
fof(f981,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_53
| ~ spl41_91 ),
inference(forward_demodulation,[],[f979,f738]) ).
fof(f979,plain,
( ! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl41_91 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1178,plain,
( spl41_137
| ~ spl41_53
| ~ spl41_89 ),
inference(avatar_split_clause,[],[f972,f969,f736,f1176]) ).
fof(f1176,plain,
( spl41_137
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_137])]) ).
fof(f969,plain,
( spl41_89
<=> ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_89])]) ).
fof(f972,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_53
| ~ spl41_89 ),
inference(forward_demodulation,[],[f970,f738]) ).
fof(f970,plain,
( ! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_89 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f1174,plain,
( spl41_136
| ~ spl41_53
| ~ spl41_87 ),
inference(avatar_split_clause,[],[f963,f960,f736,f1172]) ).
fof(f1172,plain,
( spl41_136
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_136])]) ).
fof(f960,plain,
( spl41_87
<=> ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_87])]) ).
fof(f963,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_53
| ~ spl41_87 ),
inference(forward_demodulation,[],[f961,f738]) ).
fof(f961,plain,
( ! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) )
| ~ spl41_87 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f1170,plain,
( spl41_135
| ~ spl41_53
| ~ spl41_85 ),
inference(avatar_split_clause,[],[f954,f951,f736,f1168]) ).
fof(f1168,plain,
( spl41_135
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_135])]) ).
fof(f951,plain,
( spl41_85
<=> ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_85])]) ).
fof(f954,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_53
| ~ spl41_85 ),
inference(forward_demodulation,[],[f952,f738]) ).
fof(f952,plain,
( ! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_85 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f1166,plain,
( spl41_134
| ~ spl41_53
| ~ spl41_83 ),
inference(avatar_split_clause,[],[f945,f942,f736,f1164]) ).
fof(f1164,plain,
( spl41_134
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_134])]) ).
fof(f942,plain,
( spl41_83
<=> ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_83])]) ).
fof(f945,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_53
| ~ spl41_83 ),
inference(forward_demodulation,[],[f943,f738]) ).
fof(f943,plain,
( ! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) )
| ~ spl41_83 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f1162,plain,
( spl41_133
| ~ spl41_17
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f743,f736,f554,f1159]) ).
fof(f1159,plain,
( spl41_133
<=> init = a_select3(center_init,sK13,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_133])]) ).
fof(f554,plain,
( spl41_17
<=> init = a_select3(center_init,sK13,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_17])]) ).
fof(f743,plain,
( init = a_select3(center_init,sK13,tptp_float_0_0)
| ~ spl41_17
| ~ spl41_53 ),
inference(superposition,[],[f556,f738]) ).
fof(f556,plain,
( init = a_select3(center_init,sK13,n0)
| ~ spl41_17 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f1157,plain,
( spl41_132
| ~ spl41_53
| ~ spl41_81 ),
inference(avatar_split_clause,[],[f936,f933,f736,f1155]) ).
fof(f1155,plain,
( spl41_132
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_132])]) ).
fof(f933,plain,
( spl41_81
<=> ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_81])]) ).
fof(f936,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_53
| ~ spl41_81 ),
inference(forward_demodulation,[],[f934,f738]) ).
fof(f934,plain,
( ! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_81 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f1153,plain,
( spl41_131
| ~ spl41_53
| ~ spl41_78 ),
inference(avatar_split_clause,[],[f922,f919,f736,f1151]) ).
fof(f1151,plain,
( spl41_131
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_131])]) ).
fof(f919,plain,
( spl41_78
<=> ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_78])]) ).
fof(f922,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_53
| ~ spl41_78 ),
inference(forward_demodulation,[],[f920,f738]) ).
fof(f920,plain,
( ! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) )
| ~ spl41_78 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f1149,plain,
( spl41_130
| ~ spl41_53
| ~ spl41_75 ),
inference(avatar_split_clause,[],[f909,f906,f736,f1147]) ).
fof(f1147,plain,
( spl41_130
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_130])]) ).
fof(f906,plain,
( spl41_75
<=> ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_75])]) ).
fof(f909,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_53
| ~ spl41_75 ),
inference(forward_demodulation,[],[f907,f738]) ).
fof(f907,plain,
( ! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_75 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f1145,plain,
( spl41_129
| ~ spl41_53
| ~ spl41_73 ),
inference(avatar_split_clause,[],[f900,f897,f736,f1143]) ).
fof(f1143,plain,
( spl41_129
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_129])]) ).
fof(f897,plain,
( spl41_73
<=> ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_73])]) ).
fof(f900,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_53
| ~ spl41_73 ),
inference(forward_demodulation,[],[f898,f738]) ).
fof(f898,plain,
( ! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) )
| ~ spl41_73 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f1141,plain,
( spl41_128
| ~ spl41_53
| ~ spl41_71 ),
inference(avatar_split_clause,[],[f891,f888,f736,f1139]) ).
fof(f1139,plain,
( spl41_128
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_128])]) ).
fof(f888,plain,
( spl41_71
<=> ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_71])]) ).
fof(f891,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_53
| ~ spl41_71 ),
inference(forward_demodulation,[],[f889,f738]) ).
fof(f889,plain,
( ! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_71 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f1137,plain,
( spl41_127
| ~ spl41_53
| ~ spl41_68 ),
inference(avatar_split_clause,[],[f877,f874,f736,f1135]) ).
fof(f1135,plain,
( spl41_127
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_127])]) ).
fof(f874,plain,
( spl41_68
<=> ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_68])]) ).
fof(f877,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_53
| ~ spl41_68 ),
inference(forward_demodulation,[],[f875,f738]) ).
fof(f875,plain,
( ! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) )
| ~ spl41_68 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f1133,plain,
( spl41_126
| ~ spl41_53
| ~ spl41_66 ),
inference(avatar_split_clause,[],[f868,f865,f736,f1131]) ).
fof(f1131,plain,
( spl41_126
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_126])]) ).
fof(f865,plain,
( spl41_66
<=> ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_66])]) ).
fof(f868,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_53
| ~ spl41_66 ),
inference(forward_demodulation,[],[f866,f738]) ).
fof(f866,plain,
( ! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_66 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f1129,plain,
( spl41_125
| ~ spl41_53
| ~ spl41_64 ),
inference(avatar_split_clause,[],[f859,f856,f736,f1127]) ).
fof(f1127,plain,
( spl41_125
<=> ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_125])]) ).
fof(f856,plain,
( spl41_64
<=> ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_64])]) ).
fof(f859,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_53
| ~ spl41_64 ),
inference(forward_demodulation,[],[f857,f738]) ).
fof(f857,plain,
( ! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) )
| ~ spl41_64 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f1125,plain,
( spl41_124
| ~ spl41_53
| ~ spl41_63 ),
inference(avatar_split_clause,[],[f854,f851,f736,f1123]) ).
fof(f1123,plain,
( spl41_124
<=> ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_124])]) ).
fof(f851,plain,
( spl41_63
<=> ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_63])]) ).
fof(f854,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_53
| ~ spl41_63 ),
inference(forward_demodulation,[],[f852,f738]) ).
fof(f852,plain,
( ! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) )
| ~ spl41_63 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f1121,plain,
( spl41_123
| ~ spl41_53
| ~ spl41_62 ),
inference(avatar_split_clause,[],[f849,f846,f736,f1119]) ).
fof(f1119,plain,
( spl41_123
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_123])]) ).
fof(f846,plain,
( spl41_62
<=> ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_62])]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(uniform_int_rnd(X1,X0),X0) )
| ~ spl41_53
| ~ spl41_62 ),
inference(forward_demodulation,[],[f847,f738]) ).
fof(f847,plain,
( ! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) )
| ~ spl41_62 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f1117,plain,
( spl41_122
| ~ spl41_53
| ~ spl41_61 ),
inference(avatar_split_clause,[],[f844,f840,f736,f1115]) ).
fof(f1115,plain,
( spl41_122
<=> ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_122])]) ).
fof(f840,plain,
( spl41_61
<=> ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_61])]) ).
fof(f844,plain,
( ! [X0,X1] :
( ~ leq(tptp_float_0_0,X0)
| leq(tptp_float_0_0,uniform_int_rnd(X1,X0)) )
| ~ spl41_53
| ~ spl41_61 ),
inference(forward_demodulation,[],[f843,f738]) ).
fof(f843,plain,
( ! [X0,X1] :
( leq(tptp_float_0_0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_53
| ~ spl41_61 ),
inference(forward_demodulation,[],[f841,f738]) ).
fof(f841,plain,
( ! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) )
| ~ spl41_61 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f1113,plain,
( ~ spl41_121
| spl41_41
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f751,f736,f672,f1110]) ).
fof(f672,plain,
( spl41_41
<=> leq(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_41])]) ).
fof(f751,plain,
( ~ leq(tptp_float_0_0,n4)
| spl41_41
| ~ spl41_53 ),
inference(superposition,[],[f674,f738]) ).
fof(f674,plain,
( ~ leq(n0,n4)
| spl41_41 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f1108,plain,
spl41_120,
inference(avatar_split_clause,[],[f449,f1106]) ).
fof(f1106,plain,
( spl41_120
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_120])]) ).
fof(f449,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f355,f311]) ).
fof(f311,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f355,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,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/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f1104,plain,
spl41_119,
inference(avatar_split_clause,[],[f448,f1102]) ).
fof(f448,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f356,f311]) ).
fof(f356,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f1100,plain,
spl41_118,
inference(avatar_split_clause,[],[f447,f1098]) ).
fof(f447,plain,
! [X0,X1] :
( gt(plus(X1,n1),X0)
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f353,f309]) ).
fof(f353,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,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/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f1096,plain,
spl41_117,
inference(avatar_split_clause,[],[f446,f1094]) ).
fof(f1094,plain,
( spl41_117
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_117])]) ).
fof(f446,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f354,f309]) ).
fof(f354,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1092,plain,
spl41_116,
inference(avatar_split_clause,[],[f445,f1090]) ).
fof(f1090,plain,
( spl41_116
<=> ! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_116])]) ).
fof(f445,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f332,f309]) ).
fof(f332,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,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/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f1088,plain,
spl41_115,
inference(avatar_split_clause,[],[f444,f1086]) ).
fof(f444,plain,
! [X0,X1] :
( leq(X0,plus(X1,n1))
| ~ leq(X0,X1) ),
inference(definition_unfolding,[],[f328,f309]) ).
fof(f328,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,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/sandbox/benchmark/theBenchmark.p',leq_succ) ).
fof(f1084,plain,
spl41_114,
inference(avatar_split_clause,[],[f423,f1082]) ).
fof(f1082,plain,
( spl41_114
<=> ! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_114])]) ).
fof(f423,plain,
! [X0,X1] :
( leq(sK40(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1079,plain,
spl41_113,
inference(avatar_split_clause,[],[f422,f1077]) ).
fof(f422,plain,
! [X0,X1] :
( leq(n0,sK40(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1075,plain,
spl41_112,
inference(avatar_split_clause,[],[f421,f1073]) ).
fof(f1073,plain,
( spl41_112
<=> ! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_112])]) ).
fof(f421,plain,
! [X0,X1] :
( leq(sK39(X0,X1),X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1070,plain,
spl41_111,
inference(avatar_split_clause,[],[f420,f1068]) ).
fof(f420,plain,
! [X0,X1] :
( leq(n0,sK39(X0,X1))
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f1066,plain,
spl41_110,
inference(avatar_split_clause,[],[f418,f1064]) ).
fof(f1064,plain,
( spl41_110
<=> ! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_110])]) ).
fof(f418,plain,
! [X0,X1] :
( leq(sK38(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1061,plain,
spl41_109,
inference(avatar_split_clause,[],[f417,f1059]) ).
fof(f417,plain,
! [X0,X1] :
( leq(n0,sK38(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1057,plain,
spl41_108,
inference(avatar_split_clause,[],[f416,f1055]) ).
fof(f1055,plain,
( spl41_108
<=> ! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_108])]) ).
fof(f416,plain,
! [X0,X1] :
( leq(sK37(X0,X1),X1)
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1052,plain,
spl41_107,
inference(avatar_split_clause,[],[f415,f1050]) ).
fof(f415,plain,
! [X0,X1] :
( leq(n0,sK37(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1048,plain,
spl41_106,
inference(avatar_split_clause,[],[f413,f1046]) ).
fof(f1046,plain,
( spl41_106
<=> ! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_106])]) ).
fof(f413,plain,
! [X0,X1] :
( leq(sK36(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1043,plain,
spl41_105,
inference(avatar_split_clause,[],[f412,f1041]) ).
fof(f412,plain,
! [X0,X1] :
( leq(n0,sK36(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1039,plain,
spl41_104,
inference(avatar_split_clause,[],[f411,f1037]) ).
fof(f1037,plain,
( spl41_104
<=> ! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_104])]) ).
fof(f411,plain,
! [X0,X1] :
( leq(sK35(X0,X1),X1)
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1034,plain,
spl41_103,
inference(avatar_split_clause,[],[f410,f1032]) ).
fof(f410,plain,
! [X0,X1] :
( leq(n0,sK35(X0,X1))
| ~ sP12(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f1030,plain,
spl41_102,
inference(avatar_split_clause,[],[f398,f1028]) ).
fof(f1028,plain,
( spl41_102
<=> ! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_102])]) ).
fof(f398,plain,
! [X0,X1] :
( leq(sK32(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1025,plain,
spl41_101,
inference(avatar_split_clause,[],[f397,f1023]) ).
fof(f397,plain,
! [X0,X1] :
( leq(n0,sK32(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1021,plain,
spl41_100,
inference(avatar_split_clause,[],[f396,f1019]) ).
fof(f1019,plain,
( spl41_100
<=> ! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_100])]) ).
fof(f396,plain,
! [X0,X1] :
( leq(sK31(X0,X1),X1)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1016,plain,
spl41_99,
inference(avatar_split_clause,[],[f395,f1014]) ).
fof(f395,plain,
! [X0,X1] :
( leq(n0,sK31(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f1012,plain,
spl41_98,
inference(avatar_split_clause,[],[f387,f1010]) ).
fof(f1010,plain,
( spl41_98
<=> ! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_98])]) ).
fof(f387,plain,
! [X0,X1] :
( leq(sK29(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1007,plain,
spl41_97,
inference(avatar_split_clause,[],[f386,f1005]) ).
fof(f386,plain,
! [X0,X1] :
( leq(n0,sK29(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f1003,plain,
spl41_96,
inference(avatar_split_clause,[],[f385,f1001]) ).
fof(f1001,plain,
( spl41_96
<=> ! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_96])]) ).
fof(f385,plain,
! [X0,X1] :
( leq(sK28(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f998,plain,
spl41_95,
inference(avatar_split_clause,[],[f384,f996]) ).
fof(f384,plain,
! [X0,X1] :
( leq(n0,sK28(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f994,plain,
spl41_94,
inference(avatar_split_clause,[],[f381,f992]) ).
fof(f992,plain,
( spl41_94
<=> ! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_94])]) ).
fof(f381,plain,
! [X0,X1] :
( leq(sK27(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f989,plain,
spl41_93,
inference(avatar_split_clause,[],[f380,f987]) ).
fof(f380,plain,
! [X0,X1] :
( leq(n0,sK27(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f985,plain,
spl41_92,
inference(avatar_split_clause,[],[f379,f983]) ).
fof(f983,plain,
( spl41_92
<=> ! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_92])]) ).
fof(f379,plain,
! [X0,X1] :
( leq(sK26(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f980,plain,
spl41_91,
inference(avatar_split_clause,[],[f378,f978]) ).
fof(f378,plain,
! [X0,X1] :
( leq(n0,sK26(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f976,plain,
spl41_90,
inference(avatar_split_clause,[],[f376,f974]) ).
fof(f974,plain,
( spl41_90
<=> ! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_90])]) ).
fof(f376,plain,
! [X0,X1] :
( leq(sK25(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f971,plain,
spl41_89,
inference(avatar_split_clause,[],[f375,f969]) ).
fof(f375,plain,
! [X0,X1] :
( leq(n0,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f967,plain,
spl41_88,
inference(avatar_split_clause,[],[f374,f965]) ).
fof(f965,plain,
( spl41_88
<=> ! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_88])]) ).
fof(f374,plain,
! [X0,X1] :
( leq(sK24(X0,X1),X1)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f962,plain,
spl41_87,
inference(avatar_split_clause,[],[f373,f960]) ).
fof(f373,plain,
! [X0,X1] :
( leq(n0,sK24(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f958,plain,
spl41_86,
inference(avatar_split_clause,[],[f370,f956]) ).
fof(f956,plain,
( spl41_86
<=> ! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_86])]) ).
fof(f370,plain,
! [X0,X1] :
( leq(sK23(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f953,plain,
spl41_85,
inference(avatar_split_clause,[],[f369,f951]) ).
fof(f369,plain,
! [X0,X1] :
( leq(n0,sK23(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f949,plain,
spl41_84,
inference(avatar_split_clause,[],[f368,f947]) ).
fof(f947,plain,
( spl41_84
<=> ! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_84])]) ).
fof(f368,plain,
! [X0,X1] :
( leq(sK22(X0,X1),X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f944,plain,
spl41_83,
inference(avatar_split_clause,[],[f367,f942]) ).
fof(f367,plain,
! [X0,X1] :
( leq(n0,sK22(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f940,plain,
spl41_82,
inference(avatar_split_clause,[],[f365,f938]) ).
fof(f938,plain,
( spl41_82
<=> ! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_82])]) ).
fof(f365,plain,
! [X0,X1] :
( leq(sK21(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f935,plain,
spl41_81,
inference(avatar_split_clause,[],[f364,f933]) ).
fof(f364,plain,
! [X0,X1] :
( leq(n0,sK21(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f931,plain,
( spl41_80
| ~ spl41_3
| ~ spl41_55 ),
inference(avatar_split_clause,[],[f769,f761,f484,f928]) ).
fof(f928,plain,
( spl41_80
<=> leq(loopcounter,n1) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_80])]) ).
fof(f769,plain,
( leq(loopcounter,n1)
| ~ spl41_3
| ~ spl41_55 ),
inference(resolution,[],[f762,f486]) ).
fof(f926,plain,
spl41_79,
inference(avatar_split_clause,[],[f363,f924]) ).
fof(f924,plain,
( spl41_79
<=> ! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_79])]) ).
fof(f363,plain,
! [X0,X1] :
( leq(sK20(X0,X1),X1)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f921,plain,
spl41_78,
inference(avatar_split_clause,[],[f362,f919]) ).
fof(f362,plain,
! [X0,X1] :
( leq(n0,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f917,plain,
spl41_77,
inference(avatar_split_clause,[],[f359,f915]) ).
fof(f915,plain,
( spl41_77
<=> ! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl41_77])]) ).
fof(f359,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f102]) ).
fof(f102,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/sandbox/benchmark/theBenchmark.p',sel2_update_1) ).
fof(f913,plain,
spl41_76,
inference(avatar_split_clause,[],[f350,f911]) ).
fof(f911,plain,
( spl41_76
<=> ! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_76])]) ).
fof(f350,plain,
! [X0,X1] :
( leq(sK19(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f908,plain,
spl41_75,
inference(avatar_split_clause,[],[f349,f906]) ).
fof(f349,plain,
! [X0,X1] :
( leq(n0,sK19(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f904,plain,
spl41_74,
inference(avatar_split_clause,[],[f348,f902]) ).
fof(f902,plain,
( spl41_74
<=> ! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_74])]) ).
fof(f348,plain,
! [X0,X1] :
( leq(sK18(X0,X1),X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f899,plain,
spl41_73,
inference(avatar_split_clause,[],[f347,f897]) ).
fof(f347,plain,
! [X0,X1] :
( leq(n0,sK18(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f895,plain,
spl41_72,
inference(avatar_split_clause,[],[f344,f893]) ).
fof(f893,plain,
( spl41_72
<=> ! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_72])]) ).
fof(f344,plain,
! [X0,X1] :
( leq(sK17(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f890,plain,
spl41_71,
inference(avatar_split_clause,[],[f343,f888]) ).
fof(f343,plain,
! [X0,X1] :
( leq(n0,sK17(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f886,plain,
spl41_70,
inference(avatar_split_clause,[],[f342,f884]) ).
fof(f884,plain,
( spl41_70
<=> ! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_70])]) ).
fof(f342,plain,
! [X0,X1] :
( leq(sK16(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f882,plain,
( ~ spl41_69
| spl41_42
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f752,f736,f677,f879]) ).
fof(f879,plain,
( spl41_69
<=> gt(loopcounter,tptp_float_0_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_69])]) ).
fof(f677,plain,
( spl41_42
<=> gt(loopcounter,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_42])]) ).
fof(f752,plain,
( ~ gt(loopcounter,tptp_float_0_0)
| spl41_42
| ~ spl41_53 ),
inference(superposition,[],[f679,f738]) ).
fof(f679,plain,
( ~ gt(loopcounter,n0)
| spl41_42 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f876,plain,
spl41_68,
inference(avatar_split_clause,[],[f341,f874]) ).
fof(f341,plain,
! [X0,X1] :
( leq(n0,sK16(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f872,plain,
spl41_67,
inference(avatar_split_clause,[],[f338,f870]) ).
fof(f870,plain,
( spl41_67
<=> ! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_67])]) ).
fof(f338,plain,
! [X0,X1] :
( leq(sK15(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f867,plain,
spl41_66,
inference(avatar_split_clause,[],[f337,f865]) ).
fof(f337,plain,
! [X0,X1] :
( leq(n0,sK15(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f863,plain,
spl41_65,
inference(avatar_split_clause,[],[f336,f861]) ).
fof(f861,plain,
( spl41_65
<=> ! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_65])]) ).
fof(f336,plain,
! [X0,X1] :
( leq(sK14(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f858,plain,
spl41_64,
inference(avatar_split_clause,[],[f335,f856]) ).
fof(f335,plain,
! [X0,X1] :
( leq(n0,sK14(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f853,plain,
spl41_63,
inference(avatar_split_clause,[],[f333,f851]) ).
fof(f333,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ leq(minus(X0,X1),X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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/sandbox/benchmark/theBenchmark.p',leq_minus) ).
fof(f848,plain,
spl41_62,
inference(avatar_split_clause,[],[f330,f846]) ).
fof(f330,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( leq(uniform_int_rnd(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,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/sandbox/benchmark/theBenchmark.p',uniform_int_rand_ranges_hi) ).
fof(f842,plain,
spl41_61,
inference(avatar_split_clause,[],[f329,f840]) ).
fof(f329,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( leq(n0,uniform_int_rnd(X1,X0))
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,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/sandbox/benchmark/theBenchmark.p',uniform_int_rand_ranges_lo) ).
fof(f829,plain,
( spl41_60
| ~ spl41_4
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f740,f736,f489,f826]) ).
fof(f826,plain,
( spl41_60
<=> leq(tptp_float_0_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_60])]) ).
fof(f740,plain,
( leq(tptp_float_0_0,sK13)
| ~ spl41_4
| ~ spl41_53 ),
inference(superposition,[],[f491,f738]) ).
fof(f816,plain,
spl41_59,
inference(avatar_split_clause,[],[f435,f814]) ).
fof(f435,plain,
! [X0] : plus(X0,n1) = plus(n1,X0),
inference(definition_unfolding,[],[f310,f309]) ).
fof(f310,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f812,plain,
spl41_58,
inference(avatar_split_clause,[],[f434,f810]) ).
fof(f434,plain,
! [X0] : plus(minus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f307,f309,f311]) ).
fof(f307,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : succ(pred(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_pred) ).
fof(f808,plain,
spl41_57,
inference(avatar_split_clause,[],[f433,f806]) ).
fof(f433,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f306,f311,f309]) ).
fof(f306,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).
fof(f767,plain,
( spl41_56
| ~ spl41_53
| ~ spl41_54 ),
inference(avatar_split_clause,[],[f759,f756,f736,f765]) ).
fof(f765,plain,
( spl41_56
<=> ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_56])]) ).
fof(f756,plain,
( spl41_54
<=> ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_54])]) ).
fof(f759,plain,
( ! [X0] : tptp_float_0_0 = sum(tptp_float_0_0,tptp_minus_1,X0)
| ~ spl41_53
| ~ spl41_54 ),
inference(forward_demodulation,[],[f757,f738]) ).
fof(f757,plain,
( ! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_54 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f763,plain,
spl41_55,
inference(avatar_split_clause,[],[f331,f761]) ).
fof(f331,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,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/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f758,plain,
spl41_54,
inference(avatar_split_clause,[],[f312,f756]) ).
fof(f312,plain,
! [X0] : tptp_float_0_0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,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/sandbox/benchmark/theBenchmark.p',sum_plus_base_float) ).
fof(f739,plain,
( spl41_53
| ~ spl41_52 ),
inference(avatar_split_clause,[],[f734,f731,f736]) ).
fof(f731,plain,
( spl41_52
<=> ! [X0] : n0 = sum(n0,tptp_minus_1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_52])]) ).
fof(f734,plain,
( n0 = tptp_float_0_0
| ~ spl41_52 ),
inference(forward_demodulation,[],[f732,f312]) ).
fof(f732,plain,
( ! [X0] : n0 = sum(n0,tptp_minus_1,X0)
| ~ spl41_52 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f733,plain,
spl41_52,
inference(avatar_split_clause,[],[f308,f731]) ).
fof(f308,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,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/sandbox/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f723,plain,
spl41_51,
inference(avatar_split_clause,[],[f464,f720]) ).
fof(f464,plain,
n5 = plus(n4,n1),
inference(forward_demodulation,[],[f463,f460]) ).
fof(f460,plain,
n4 = plus(n3,n1),
inference(forward_demodulation,[],[f459,f457]) ).
fof(f457,plain,
n3 = plus(n2,n1),
inference(forward_demodulation,[],[f456,f455]) ).
fof(f455,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f428,f426]) ).
fof(f426,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f297,f309]) ).
fof(f297,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f428,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f299,f309,f309]) ).
fof(f299,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f456,plain,
n3 = plus(plus(n1,n1),n1),
inference(forward_demodulation,[],[f429,f426]) ).
fof(f429,plain,
n3 = plus(plus(plus(n0,n1),n1),n1),
inference(definition_unfolding,[],[f300,f309,f309,f309]) ).
fof(f300,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(f459,plain,
n4 = plus(plus(n2,n1),n1),
inference(forward_demodulation,[],[f458,f455]) ).
fof(f458,plain,
n4 = plus(plus(plus(n1,n1),n1),n1),
inference(forward_demodulation,[],[f430,f426]) ).
fof(f430,plain,
n4 = plus(plus(plus(plus(n0,n1),n1),n1),n1),
inference(definition_unfolding,[],[f301,f309,f309,f309,f309]) ).
fof(f301,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(f463,plain,
n5 = plus(plus(n3,n1),n1),
inference(forward_demodulation,[],[f462,f457]) ).
fof(f462,plain,
n5 = plus(plus(plus(n2,n1),n1),n1),
inference(forward_demodulation,[],[f461,f455]) ).
fof(f461,plain,
n5 = plus(plus(plus(plus(n1,n1),n1),n1),n1),
inference(forward_demodulation,[],[f431,f426]) ).
fof(f431,plain,
n5 = plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),
inference(definition_unfolding,[],[f302,f309,f309,f309,f309,f309]) ).
fof(f302,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f90,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(f718,plain,
spl41_50,
inference(avatar_split_clause,[],[f460,f715]) ).
fof(f713,plain,
spl41_49,
inference(avatar_split_clause,[],[f457,f710]) ).
fof(f708,plain,
spl41_48,
inference(avatar_split_clause,[],[f455,f705]) ).
fof(f703,plain,
spl41_47,
inference(avatar_split_clause,[],[f432,f701]) ).
fof(f432,plain,
! [X0] : gt(plus(X0,n1),X0),
inference(definition_unfolding,[],[f305,f309]) ).
fof(f305,plain,
! [X0] : gt(succ(X0),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : gt(succ(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_succ) ).
fof(f699,plain,
spl41_46,
inference(avatar_split_clause,[],[f427,f696]) ).
fof(f427,plain,
n0 = plus(tptp_minus_1,n1),
inference(definition_unfolding,[],[f298,f309]) ).
fof(f298,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f694,plain,
spl41_45,
inference(avatar_split_clause,[],[f426,f691]) ).
fof(f687,plain,
spl41_44,
inference(avatar_split_clause,[],[f260,f685]) ).
fof(f260,plain,
! [X6,X5] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6)
| ~ leq(X5,n135299)
| ~ leq(n0,X5) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( init != a_select2(muold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13)
& ( ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).
fof(f193,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
=> ( init != a_select2(muold_init,sK13)
& leq(sK13,n4)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
( ? [X0] :
( init != a_select2(muold_init,X0)
& leq(X0,n4)
& leq(n0,X0) )
& ( ! [X1] :
( init = a_select2(sigma_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(rho_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ( ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& ! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
& ! [X5] :
( ! [X6] :
( init = a_select3(q_init,X5,X6)
| ~ leq(X6,n4)
| ~ leq(n0,X6) )
| ~ leq(X5,n135299)
| ~ leq(n0,X5) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ? [X6] :
( init != a_select2(muold_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n0) )
& ( ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
( ? [X6] :
( init != a_select2(muold_init,X6)
& leq(X6,n4)
& leq(n0,X6) )
& ( ! [X0] :
( init = a_select2(sigma_init,X0)
| ~ leq(X0,n4)
| ~ leq(n0,X0) )
| ~ gt(loopcounter,n0) )
& ( ! [X1] :
( init = a_select2(rho_init,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ gt(loopcounter,n0) )
& ( ! [X2] :
( init = a_select2(mu_init,X2)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
| ~ gt(loopcounter,n0) )
& ! [X3] :
( init = a_select3(center_init,X3,n0)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
& ! [X4] :
( ! [X5] :
( init = a_select3(q_init,X4,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ leq(X4,n135299)
| ~ leq(n0,X4) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n0)
=> ! [X0] :
( ( leq(X0,n4)
& leq(n0,X0) )
=> init = a_select2(sigma_init,X0) ) )
& ( gt(loopcounter,n0)
=> ! [X1] :
( ( leq(X1,n4)
& leq(n0,X1) )
=> init = a_select2(rho_init,X1) ) )
& ( gt(loopcounter,n0)
=> ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select2(mu_init,X2) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X4] :
( ( leq(X4,n135299)
& leq(n0,X4) )
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select3(q_init,X4,X5) ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X6] :
( ( leq(X6,n4)
& leq(n0,X6) )
=> init = a_select2(muold_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(X21,n4)
& leq(n0,X21) )
=> init = a_select2(sigma_init,X21) ) )
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(X19,n4)
& leq(n0,X19) )
=> init = a_select2(mu_init,X19) ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& ! [X13] :
( ( leq(X13,n135299)
& leq(n0,X13) )
=> ! [X17] :
( ( leq(X17,n4)
& leq(n0,X17) )
=> a_select3(q_init,X13,X17) = init ) )
& gt(n1,loopcounter)
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76) )
=> ! [X27] :
( ( leq(X27,n4)
& leq(n0,X27) )
=> init = a_select2(muold_init,X27) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0081) ).
fof(f683,plain,
( ~ spl41_42
| spl41_43 ),
inference(avatar_split_clause,[],[f262,f681,f677]) ).
fof(f681,plain,
( spl41_43
<=> ! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(n0,X3)
| ~ leq(X3,n4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl41_43])]) ).
fof(f262,plain,
! [X3] :
( init = a_select2(mu_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3)
| ~ gt(loopcounter,n0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f675,plain,
( spl41_40
| ~ spl41_41
| ~ spl41_7
| ~ spl41_39 ),
inference(avatar_split_clause,[],[f666,f663,f504,f672,f668]) ).
fof(f666,plain,
( ~ leq(n0,n4)
| init = a_select3(center_init,n0,n0)
| ~ spl41_7
| ~ spl41_39 ),
inference(resolution,[],[f664,f505]) ).
fof(f665,plain,
spl41_39,
inference(avatar_split_clause,[],[f304,f663]) ).
fof(f304,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f661,plain,
spl41_38,
inference(avatar_split_clause,[],[f303,f659]) ).
fof(f303,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f657,plain,
spl41_37,
inference(avatar_split_clause,[],[f296,f654]) ).
fof(f296,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(f652,plain,
spl41_36,
inference(avatar_split_clause,[],[f295,f649]) ).
fof(f295,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(f647,plain,
spl41_35,
inference(avatar_split_clause,[],[f294,f644]) ).
fof(f294,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(f642,plain,
spl41_34,
inference(avatar_split_clause,[],[f293,f639]) ).
fof(f293,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(f637,plain,
spl41_33,
inference(avatar_split_clause,[],[f292,f634]) ).
fof(f292,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(f632,plain,
spl41_32,
inference(avatar_split_clause,[],[f291,f629]) ).
fof(f291,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(f627,plain,
spl41_31,
inference(avatar_split_clause,[],[f290,f624]) ).
fof(f290,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(f622,plain,
spl41_30,
inference(avatar_split_clause,[],[f289,f619]) ).
fof(f289,plain,
gt(n4,tptp_minus_1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(f617,plain,
spl41_29,
inference(avatar_split_clause,[],[f288,f614]) ).
fof(f288,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(f612,plain,
spl41_28,
inference(avatar_split_clause,[],[f287,f609]) ).
fof(f287,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(f607,plain,
spl41_27,
inference(avatar_split_clause,[],[f286,f604]) ).
fof(f286,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[],[f63]) ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(f602,plain,
spl41_26,
inference(avatar_split_clause,[],[f285,f599]) ).
fof(f285,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(f597,plain,
spl41_25,
inference(avatar_split_clause,[],[f284,f594]) ).
fof(f284,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(f592,plain,
spl41_24,
inference(avatar_split_clause,[],[f283,f589]) ).
fof(f283,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(f587,plain,
spl41_23,
inference(avatar_split_clause,[],[f282,f584]) ).
fof(f282,plain,
gt(n3,tptp_minus_1),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(f582,plain,
spl41_22,
inference(avatar_split_clause,[],[f281,f579]) ).
fof(f281,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(f577,plain,
spl41_21,
inference(avatar_split_clause,[],[f280,f574]) ).
fof(f280,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(f572,plain,
spl41_20,
inference(avatar_split_clause,[],[f279,f569]) ).
fof(f279,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(f567,plain,
spl41_19,
inference(avatar_split_clause,[],[f278,f564]) ).
fof(f278,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(f562,plain,
spl41_18,
inference(avatar_split_clause,[],[f277,f559]) ).
fof(f277,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(f557,plain,
( spl41_17
| ~ spl41_5
| ~ spl41_4
| ~ spl41_7 ),
inference(avatar_split_clause,[],[f507,f504,f489,f494,f554]) ).
fof(f507,plain,
( ~ leq(sK13,n4)
| init = a_select3(center_init,sK13,n0)
| ~ spl41_4
| ~ spl41_7 ),
inference(resolution,[],[f505,f491]) ).
fof(f552,plain,
spl41_16,
inference(avatar_split_clause,[],[f276,f549]) ).
fof(f276,plain,
gt(n5,tptp_minus_1),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(f547,plain,
spl41_15,
inference(avatar_split_clause,[],[f275,f544]) ).
fof(f275,plain,
gt(n135299,n0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
gt(n135299,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_0) ).
fof(f542,plain,
spl41_14,
inference(avatar_split_clause,[],[f274,f539]) ).
fof(f274,plain,
gt(n135299,n4),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
gt(n135299,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_4) ).
fof(f537,plain,
spl41_13,
inference(avatar_split_clause,[],[f273,f534]) ).
fof(f273,plain,
gt(n135299,n1),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
gt(n135299,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_1) ).
fof(f532,plain,
spl41_12,
inference(avatar_split_clause,[],[f272,f529]) ).
fof(f272,plain,
gt(n135299,n2),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
gt(n135299,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_2) ).
fof(f527,plain,
spl41_11,
inference(avatar_split_clause,[],[f271,f524]) ).
fof(f271,plain,
gt(n135299,n3),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
gt(n135299,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_3) ).
fof(f522,plain,
spl41_10,
inference(avatar_split_clause,[],[f270,f519]) ).
fof(f270,plain,
gt(n135299,n5),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
gt(n135299,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_5) ).
fof(f517,plain,
spl41_9,
inference(avatar_split_clause,[],[f269,f514]) ).
fof(f269,plain,
gt(n135299,tptp_minus_1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
gt(n135299,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_135299_tptp_minus_1) ).
fof(f512,plain,
~ spl41_8,
inference(avatar_split_clause,[],[f268,f509]) ).
fof(f509,plain,
( spl41_8
<=> def = use ),
introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).
fof(f268,plain,
def != use,
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',defuse) ).
fof(f506,plain,
spl41_7,
inference(avatar_split_clause,[],[f261,f504]) ).
fof(f261,plain,
! [X4] :
( init = a_select3(center_init,X4,n0)
| ~ leq(X4,n4)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f194]) ).
fof(f502,plain,
~ spl41_6,
inference(avatar_split_clause,[],[f267,f499]) ).
fof(f267,plain,
init != a_select2(muold_init,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f497,plain,
spl41_5,
inference(avatar_split_clause,[],[f266,f494]) ).
fof(f266,plain,
leq(sK13,n4),
inference(cnf_transformation,[],[f194]) ).
fof(f492,plain,
spl41_4,
inference(avatar_split_clause,[],[f265,f489]) ).
fof(f265,plain,
leq(n0,sK13),
inference(cnf_transformation,[],[f194]) ).
fof(f487,plain,
spl41_3,
inference(avatar_split_clause,[],[f259,f484]) ).
fof(f259,plain,
gt(n1,loopcounter),
inference(cnf_transformation,[],[f194]) ).
fof(f482,plain,
spl41_2,
inference(avatar_split_clause,[],[f258,f479]) ).
fof(f258,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f194]) ).
fof(f477,plain,
spl41_1,
inference(avatar_split_clause,[],[f257,f474]) ).
fof(f257,plain,
leq(tptp_float_0_001,pv76),
inference(cnf_transformation,[],[f194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV181+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:51:31 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (10784)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (10787)WARNING: value z3 for option sas not known
% 0.14/0.38 % (10785)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (10788)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (10786)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (10787)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)
% 0.14/0.38 % (10789)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)
% 0.14/0.38 % (10790)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)
% 0.14/0.38 % (10791)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)
% 0.21/0.49 TRYING [1]
% 0.21/0.50 TRYING [2]
% 0.21/0.51 % (10789)First to succeed.
% 0.21/0.52 % (10787)Also succeeded, but the first one will report.
% 0.21/0.52 % (10789)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (10789)------------------------------
% 0.21/0.53 % (10789)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.53 % (10789)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (10789)Memory used [KB]: 3373
% 0.21/0.53 % (10789)Time elapsed: 0.140 s
% 0.21/0.53 % (10789)Instructions burned: 287 (million)
% 0.21/0.53 % (10789)------------------------------
% 0.21/0.53 % (10789)------------------------------
% 0.21/0.53 % (10784)Success in time 0.165 s
%------------------------------------------------------------------------------