TSTP Solution File: ITP012_2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP012_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:58:35 EDT 2024
% Result : Theorem 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 565
% Syntax : Number of formulae : 1758 ( 248 unt; 56 typ; 0 def)
% Number of atoms : 8550 ( 320 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 7768 (3134 ~;3682 |; 343 &)
% ( 518 <=>; 88 =>; 0 <=; 3 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 2214 (2214 fml; 0 var)
% Number of types : 5 ( 3 usr)
% Number of type conns : 98 ( 45 >; 53 *; 0 +; 0 <<)
% Number of predicates : 461 ( 459 usr; 439 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-3 aty)
% Number of variables : 2694 (2649 !; 45 ?;2168 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__o: $tType ).
tff(type_def_7,type,
tp__ty_2Einteger_2Eint: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
inj__o: tp__o > $i ).
tff(func_def_7,type,
surj__o: $i > tp__o ).
tff(func_def_9,type,
fo__c_2Ebool_2ET: tp__o ).
tff(func_def_10,type,
c_2Ebool_2E_3F: del > $i ).
tff(func_def_11,type,
ty_2Einteger_2Eint: del ).
tff(func_def_12,type,
inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).
tff(func_def_13,type,
surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).
tff(func_def_15,type,
fo__c_2Einteger_2Eint__sub: ( tp__ty_2Einteger_2Eint * tp__ty_2Einteger_2Eint ) > tp__ty_2Einteger_2Eint ).
tff(func_def_17,type,
fo__c_2Einteger_2Eint__add: ( tp__ty_2Einteger_2Eint * tp__ty_2Einteger_2Eint ) > tp__ty_2Einteger_2Eint ).
tff(func_def_19,type,
fo__c_2Einteger_2Eint__neg: tp__ty_2Einteger_2Eint > tp__ty_2Einteger_2Eint ).
tff(func_def_21,type,
fo__c_2Einteger_2Eint__divides: ( tp__ty_2Einteger_2Eint * tp__ty_2Einteger_2Eint ) > tp__o ).
tff(func_def_23,type,
fo__c_2Ebool_2EF: tp__o ).
tff(func_def_25,type,
fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).
tff(func_def_27,type,
fo__c_2Ebool_2E_5C_2F: ( tp__o * tp__o ) > tp__o ).
tff(func_def_29,type,
fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).
tff(func_def_31,type,
fo__c_2Ebool_2E_7E: tp__o > tp__o ).
tff(func_def_32,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_33,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_34,type,
sK18: tp__ty_2Einteger_2Eint ).
tff(func_def_35,type,
sK19: tp__ty_2Einteger_2Eint ).
tff(func_def_36,type,
sK20: tp__ty_2Einteger_2Eint ).
tff(func_def_37,type,
sK21: ( del * $i ) > $i ).
tff(func_def_38,type,
sK22: ( del * $i ) > $i ).
tff(func_def_39,type,
sK23: ( del * $i ) > $i ).
tff(func_def_40,type,
sK24: ( del * $i ) > $i ).
tff(func_def_41,type,
sK25: ( $i * del * $i ) > $i ).
tff(func_def_42,type,
sK26: ( $i * del ) > $i ).
tff(func_def_43,type,
sK27: ( del * $i ) > $i ).
tff(func_def_44,type,
sK28: ( del * $i * $i ) > $i ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(pred_def_3,type,
sP0: ( $i * del * $i ) > $o ).
tff(pred_def_4,type,
sP1: ( $i * del * $i ) > $o ).
tff(pred_def_5,type,
sP2: ( tp__o * tp__o ) > $o ).
tff(pred_def_6,type,
sP3: ( tp__o * tp__o ) > $o ).
tff(pred_def_7,type,
sP4: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_8,type,
sP5: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_9,type,
sP6: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_10,type,
sP7: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_11,type,
sP8: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_12,type,
sP9: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_13,type,
sP10: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_14,type,
sP11: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_15,type,
sP12: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_16,type,
sP13: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_17,type,
sP14: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_18,type,
sP15: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_19,type,
sP16: ( tp__o * tp__o * tp__o ) > $o ).
tff(pred_def_20,type,
sP17: ( tp__o * tp__o * tp__o ) > $o ).
tff(f5249,plain,
$false,
inference(avatar_sat_refutation,[],[f571,f577,f582,f587,f592,f597,f602,f607,f611,f615,f622,f627,f631,f635,f646,f654,f659,f660,f664,f669,f673,f678,f683,f688,f693,f698,f703,f707,f712,f716,f720,f724,f728,f732,f736,f740,f744,f748,f752,f756,f760,f764,f768,f772,f776,f780,f784,f788,f792,f796,f800,f804,f808,f812,f816,f820,f824,f828,f832,f836,f840,f844,f848,f852,f856,f860,f864,f868,f881,f886,f890,f894,f898,f902,f906,f910,f914,f918,f959,f963,f967,f971,f975,f979,f983,f987,f991,f995,f999,f1003,f1007,f1011,f1015,f1019,f1023,f1027,f1031,f1035,f1039,f1043,f1062,f1082,f1086,f1104,f1108,f1112,f1116,f1120,f1124,f1128,f1132,f1136,f1140,f1144,f1176,f1180,f1184,f1188,f1192,f1196,f1221,f1225,f1229,f1233,f1237,f1241,f1245,f1249,f1256,f1260,f1264,f1268,f1272,f1276,f1280,f1284,f1288,f1292,f1299,f1303,f1307,f1311,f1315,f1319,f1384,f1388,f1435,f1439,f1443,f1447,f1451,f1455,f1459,f1460,f1464,f1468,f1472,f1490,f1609,f1646,f1650,f1688,f1692,f1696,f1700,f1723,f1727,f1731,f1735,f1739,f1743,f1747,f1759,f1794,f1798,f1802,f1806,f1816,f1820,f1852,f1856,f1861,f1877,f1881,f1885,f1889,f1918,f1922,f1932,f1950,f1954,f1959,f1963,f1967,f1972,f1977,f1981,f1996,f2011,f2016,f2031,f2035,f2039,f2043,f2056,f2070,f2074,f2078,f2087,f2095,f2100,f2105,f2110,f2115,f2119,f2123,f2127,f2131,f2135,f2140,f2144,f2148,f2160,f2172,f2176,f2180,f2184,f2188,f2195,f2204,f2270,f2294,f2298,f2302,f2306,f2310,f2314,f2318,f2322,f2326,f2330,f2334,f2338,f2342,f2346,f2350,f2354,f2358,f2362,f2374,f2378,f2382,f2386,f2390,f2409,f2525,f2529,f2534,f2538,f2542,f2546,f2550,f2554,f2558,f2562,f2566,f2574,f2589,f2601,f2613,f2653,f2657,f2661,f2665,f2669,f2673,f2677,f2681,f2726,f2730,f2734,f2738,f2742,f2746,f2750,f2754,f2758,f2762,f2766,f2823,f2831,f2835,f2839,f2843,f2847,f2851,f2855,f2859,f2863,f2867,f2871,f2926,f2930,f2967,f2997,f3001,f3075,f3079,f3089,f3093,f3097,f3101,f3105,f3109,f3113,f3117,f3121,f3125,f3129,f3134,f3138,f3142,f3146,f3150,f3154,f3327,f3355,f3359,f3363,f3367,f3371,f3375,f3430,f3434,f3438,f3442,f3446,f3450,f3526,f3575,f3579,f3589,f3593,f3597,f3601,f3605,f3609,f3665,f3698,f3702,f3708,f3712,f3717,f3757,f3761,f3765,f3769,f3773,f3777,f3781,f3785,f3850,f3854,f3855,f3865,f3875,f3887,f3891,f3895,f3908,f3912,f3916,f3929,f3969,f3973,f3978,f3982,f3986,f3990,f4011,f4015,f4020,f4024,f4028,f4032,f4036,f4185,f4189,f4193,f4197,f4201,f4205,f4209,f4213,f4217,f4282,f4286,f4301,f4305,f4309,f4313,f4317,f4325,f4329,f4333,f4337,f4341,f4345,f4349,f4353,f4404,f4408,f4530,f4534,f4538,f4542,f4546,f4550,f4554,f4560,f4690,f4694,f4698,f4702,f4712,f4716,f4720,f4999,f5005,f5045,f5049,f5179,f5183,f5227,f5248]) ).
tff(f5248,plain,
( spl29_17
| ~ spl29_351
| ~ spl29_18
| ~ spl29_320 ),
inference(avatar_split_clause,[],[f3879,f3140,f656,f3714,f651]) ).
tff(f651,plain,
( spl29_17
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_17])]) ).
tff(f3714,plain,
( spl29_351
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__neg(sK19)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_351])]) ).
tff(f656,plain,
( spl29_18
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_18])]) ).
tff(f3140,plain,
( spl29_320
<=> ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__sub(X0,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_320])]) ).
tff(f3879,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__neg(sK19))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)))
| ~ spl29_18
| ~ spl29_320 ),
inference(resolution,[],[f657,f3141]) ).
tff(f3141,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__sub(X0,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X2,X0))) )
| ~ spl29_320 ),
inference(avatar_component_clause,[],[f3140]) ).
tff(f657,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))))
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f656]) ).
tff(f5227,plain,
( spl29_428
| ~ spl29_161
| ~ spl29_183 ),
inference(avatar_split_clause,[],[f1928,f1920,f1721,f5225]) ).
tff(f5225,plain,
( spl29_428
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Ebool_2E_2F_5C,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Ebool_2E_2F_5C,X0))))
| ~ sP1(X2,X1,ap(c_2Ebool_2E_2F_5C,X0))
| ~ p(sK25(X2,X1,ap(c_2Ebool_2E_2F_5C,X0)))
| ~ p(X0)
| ~ mem(sK25(X2,X1,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_428])]) ).
tff(f1721,plain,
( spl29_161
<=> ! [X0,X1] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_161])]) ).
tff(f1920,plain,
( spl29_183
<=> ! [X2,X0,X1: del] :
( sP0(X2,X1,X0)
| ~ p(ap(X2,sK25(X0,X1,X2)))
| ~ p(ap(X0,sK25(X0,X1,X2)))
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_183])]) ).
tff(f1928,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Ebool_2E_2F_5C,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Ebool_2E_2F_5C,X0))))
| ~ sP1(X2,X1,ap(c_2Ebool_2E_2F_5C,X0))
| ~ p(sK25(X2,X1,ap(c_2Ebool_2E_2F_5C,X0)))
| ~ p(X0)
| ~ mem(sK25(X2,X1,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_161
| ~ spl29_183 ),
inference(resolution,[],[f1921,f1722]) ).
tff(f1722,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_161 ),
inference(avatar_component_clause,[],[f1721]) ).
tff(f1921,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X2,sK25(X0,X1,X2)))
| sP0(X2,X1,X0)
| ~ p(ap(X0,sK25(X0,X1,X2)))
| ~ sP1(X0,X1,X2) )
| ~ spl29_183 ),
inference(avatar_component_clause,[],[f1920]) ).
tff(f5183,plain,
( spl29_427
| ~ spl29_148
| ~ spl29_183 ),
inference(avatar_split_clause,[],[f1926,f1920,f1445,f5181]) ).
tff(f5181,plain,
( spl29_427
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Ebool_2E_5C_2F,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0))))
| ~ sP1(X2,X1,ap(c_2Ebool_2E_5C_2F,X0))
| ~ p(sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0)))
| ~ mem(sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_427])]) ).
tff(f1445,plain,
( spl29_148
<=> ! [X0,X1] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_148])]) ).
tff(f1926,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Ebool_2E_5C_2F,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0))))
| ~ sP1(X2,X1,ap(c_2Ebool_2E_5C_2F,X0))
| ~ p(sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0)))
| ~ mem(sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_148
| ~ spl29_183 ),
inference(resolution,[],[f1921,f1446]) ).
tff(f1446,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_148 ),
inference(avatar_component_clause,[],[f1445]) ).
tff(f5179,plain,
( spl29_426
| ~ spl29_150
| ~ spl29_183 ),
inference(avatar_split_clause,[],[f1924,f1920,f1453,f5177]) ).
tff(f5177,plain,
( spl29_426
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Emin_2E_3D_3D_3E,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0))))
| ~ sP1(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0))
| ~ p(sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0)))
| ~ mem(sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_426])]) ).
tff(f1453,plain,
( spl29_150
<=> ! [X0,X1] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_150])]) ).
tff(f1924,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Emin_2E_3D_3D_3E,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0))))
| ~ sP1(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0))
| ~ p(sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0)))
| ~ mem(sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_150
| ~ spl29_183 ),
inference(resolution,[],[f1921,f1454]) ).
tff(f1454,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_150 ),
inference(avatar_component_clause,[],[f1453]) ).
tff(f5049,plain,
( spl29_425
| ~ spl29_152
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1903,f1875,f1462,f5047]) ).
tff(f5047,plain,
( spl29_425
<=> ! [X4,X0: del,X3: del,X2,X1] :
( mem(sK28(X0,X1,sK26(X2,arr(X0,X3))),X0)
| ( sK26(X2,arr(X0,X3)) = X1 )
| ~ mem(X1,arr(X0,X3))
| sP0(X2,arr(X0,X3),X4)
| mem(sK27(arr(X0,X3),X4),arr(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_425])]) ).
tff(f1462,plain,
( spl29_152
<=> ! [X2,X0,X1: del] :
( sP0(X0,X1,X2)
| mem(sK26(X0,X1),X1)
| mem(sK27(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_152])]) ).
tff(f1875,plain,
( spl29_178
<=> ! [X0: del,X3,X2,X1: del] :
( ( X2 = X3 )
| mem(sK28(X0,X2,X3),X0)
| ~ mem(X3,arr(X0,X1))
| ~ mem(X2,arr(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_178])]) ).
tff(f1903,plain,
( ! [X2: $i,X3: del,X0: del,X1: $i,X4: $i] :
( mem(sK28(X0,X1,sK26(X2,arr(X0,X3))),X0)
| ( sK26(X2,arr(X0,X3)) = X1 )
| ~ mem(X1,arr(X0,X3))
| sP0(X2,arr(X0,X3),X4)
| mem(sK27(arr(X0,X3),X4),arr(X0,X3)) )
| ~ spl29_152
| ~ spl29_178 ),
inference(resolution,[],[f1876,f1463]) ).
tff(f1463,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| mem(sK26(X0,X1),X1)
| mem(sK27(X1,X2),X1) )
| ~ spl29_152 ),
inference(avatar_component_clause,[],[f1462]) ).
tff(f1876,plain,
( ! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X3,arr(X0,X1))
| mem(sK28(X0,X2,X3),X0)
| ( X2 = X3 )
| ~ mem(X2,arr(X0,X1)) )
| ~ spl29_178 ),
inference(avatar_component_clause,[],[f1875]) ).
tff(f5045,plain,
( spl29_424
| ~ spl29_152
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1901,f1875,f1462,f5043]) ).
tff(f5043,plain,
( spl29_424
<=> ! [X4,X0: del,X3,X2: del,X1] :
( mem(sK28(X0,X1,sK27(arr(X0,X2),X3)),X0)
| ( sK27(arr(X0,X2),X3) = X1 )
| ~ mem(X1,arr(X0,X2))
| sP0(X4,arr(X0,X2),X3)
| mem(sK26(X4,arr(X0,X2)),arr(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_424])]) ).
tff(f1901,plain,
( ! [X2: del,X3: $i,X0: del,X1: $i,X4: $i] :
( mem(sK28(X0,X1,sK27(arr(X0,X2),X3)),X0)
| ( sK27(arr(X0,X2),X3) = X1 )
| ~ mem(X1,arr(X0,X2))
| sP0(X4,arr(X0,X2),X3)
| mem(sK26(X4,arr(X0,X2)),arr(X0,X2)) )
| ~ spl29_152
| ~ spl29_178 ),
inference(resolution,[],[f1876,f1463]) ).
tff(f5005,plain,
( spl29_423
| ~ spl29_151
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1902,f1875,f1457,f5003]) ).
tff(f5003,plain,
( spl29_423
<=> ! [X4,X0: del,X3: del,X2,X1] :
( mem(sK28(X0,X1,sK25(X2,arr(X0,X3),X4)),X0)
| ( sK25(X2,arr(X0,X3),X4) = X1 )
| ~ mem(X1,arr(X0,X3))
| sP0(X4,arr(X0,X3),X2)
| ~ sP1(X2,arr(X0,X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_423])]) ).
tff(f1457,plain,
( spl29_151
<=> ! [X2,X0,X1: del] :
( sP0(X2,X1,X0)
| mem(sK25(X0,X1,X2),X1)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_151])]) ).
tff(f1902,plain,
( ! [X2: $i,X3: del,X0: del,X1: $i,X4: $i] :
( mem(sK28(X0,X1,sK25(X2,arr(X0,X3),X4)),X0)
| ( sK25(X2,arr(X0,X3),X4) = X1 )
| ~ mem(X1,arr(X0,X3))
| sP0(X4,arr(X0,X3),X2)
| ~ sP1(X2,arr(X0,X3),X4) )
| ~ spl29_151
| ~ spl29_178 ),
inference(resolution,[],[f1876,f1458]) ).
tff(f1458,plain,
( ! [X2: $i,X0: $i,X1: del] :
( mem(sK25(X0,X1,X2),X1)
| sP0(X2,X1,X0)
| ~ sP1(X0,X1,X2) )
| ~ spl29_151 ),
inference(avatar_component_clause,[],[f1457]) ).
tff(f4999,plain,
( ~ spl29_18
| ~ spl29_21
| ~ spl29_215 ),
inference(avatar_split_clause,[],[f2207,f2137,f671,f656]) ).
tff(f671,plain,
( spl29_21
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).
tff(f2137,plain,
( spl29_215
<=> sP2(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_215])]) ).
tff(f2207,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))))
| ~ spl29_21
| ~ spl29_215 ),
inference(resolution,[],[f2139,f672]) ).
tff(f672,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ sP2(X0,X1)
| ~ p(inj__o(X0)) )
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f671]) ).
tff(f2139,plain,
( sP2(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)),fo__c_2Ebool_2ET)
| ~ spl29_215 ),
inference(avatar_component_clause,[],[f2137]) ).
tff(f4720,plain,
( spl29_422
| ~ spl29_152
| ~ spl29_172 ),
inference(avatar_split_clause,[],[f1839,f1804,f1462,f4718]) ).
tff(f4718,plain,
( spl29_422
<=> ! [X0,X3,X2,X1: del] :
( p(ap(sK26(X0,arr(X1,bool)),X2))
| ~ mem(X2,X1)
| mem(sK23(X1,sK26(X0,arr(X1,bool))),X1)
| sP0(X0,arr(X1,bool),X3)
| mem(sK27(arr(X1,bool),X3),arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_422])]) ).
tff(f1804,plain,
( spl29_172
<=> ! [X0: del,X1,X3] :
( mem(sK23(X0,X1),X0)
| p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_172])]) ).
tff(f1839,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( p(ap(sK26(X0,arr(X1,bool)),X2))
| ~ mem(X2,X1)
| mem(sK23(X1,sK26(X0,arr(X1,bool))),X1)
| sP0(X0,arr(X1,bool),X3)
| mem(sK27(arr(X1,bool),X3),arr(X1,bool)) )
| ~ spl29_152
| ~ spl29_172 ),
inference(resolution,[],[f1805,f1463]) ).
tff(f1805,plain,
( ! [X3: $i,X0: del,X1: $i] :
( ~ mem(X1,arr(X0,bool))
| p(ap(X1,X3))
| ~ mem(X3,X0)
| mem(sK23(X0,X1),X0) )
| ~ spl29_172 ),
inference(avatar_component_clause,[],[f1804]) ).
tff(f4716,plain,
( spl29_421
| ~ spl29_152
| ~ spl29_172 ),
inference(avatar_split_clause,[],[f1837,f1804,f1462,f4714]) ).
tff(f4714,plain,
( spl29_421
<=> ! [X0: del,X3,X2,X1] :
( p(ap(sK27(arr(X0,bool),X1),X2))
| ~ mem(X2,X0)
| mem(sK23(X0,sK27(arr(X0,bool),X1)),X0)
| sP0(X3,arr(X0,bool),X1)
| mem(sK26(X3,arr(X0,bool)),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_421])]) ).
tff(f1837,plain,
( ! [X2: $i,X3: $i,X0: del,X1: $i] :
( p(ap(sK27(arr(X0,bool),X1),X2))
| ~ mem(X2,X0)
| mem(sK23(X0,sK27(arr(X0,bool),X1)),X0)
| sP0(X3,arr(X0,bool),X1)
| mem(sK26(X3,arr(X0,bool)),arr(X0,bool)) )
| ~ spl29_152
| ~ spl29_172 ),
inference(resolution,[],[f1805,f1463]) ).
tff(f4712,plain,
( spl29_420
| ~ spl29_152
| ~ spl29_171 ),
inference(avatar_split_clause,[],[f1833,f1800,f1462,f4710]) ).
tff(f4710,plain,
( spl29_420
<=> ! [X0,X3,X2,X1: del] :
( p(ap(sK26(X0,arr(X1,bool)),X2))
| ~ mem(X2,X1)
| mem(sK24(X1,sK26(X0,arr(X1,bool))),X1)
| sP0(X0,arr(X1,bool),X3)
| mem(sK27(arr(X1,bool),X3),arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_420])]) ).
tff(f1800,plain,
( spl29_171
<=> ! [X5,X0: del,X1] :
( mem(sK24(X0,X1),X0)
| p(ap(X1,X5))
| ~ mem(X5,X0)
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_171])]) ).
tff(f1833,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( p(ap(sK26(X0,arr(X1,bool)),X2))
| ~ mem(X2,X1)
| mem(sK24(X1,sK26(X0,arr(X1,bool))),X1)
| sP0(X0,arr(X1,bool),X3)
| mem(sK27(arr(X1,bool),X3),arr(X1,bool)) )
| ~ spl29_152
| ~ spl29_171 ),
inference(resolution,[],[f1801,f1463]) ).
tff(f1801,plain,
( ! [X0: del,X1: $i,X5: $i] :
( ~ mem(X1,arr(X0,bool))
| p(ap(X1,X5))
| ~ mem(X5,X0)
| mem(sK24(X0,X1),X0) )
| ~ spl29_171 ),
inference(avatar_component_clause,[],[f1800]) ).
tff(f4702,plain,
( spl29_419
| ~ spl29_152
| ~ spl29_171 ),
inference(avatar_split_clause,[],[f1831,f1800,f1462,f4700]) ).
tff(f4700,plain,
( spl29_419
<=> ! [X0: del,X3,X2,X1] :
( p(ap(sK27(arr(X0,bool),X1),X2))
| ~ mem(X2,X0)
| mem(sK24(X0,sK27(arr(X0,bool),X1)),X0)
| sP0(X3,arr(X0,bool),X1)
| mem(sK26(X3,arr(X0,bool)),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_419])]) ).
tff(f1831,plain,
( ! [X2: $i,X3: $i,X0: del,X1: $i] :
( p(ap(sK27(arr(X0,bool),X1),X2))
| ~ mem(X2,X0)
| mem(sK24(X0,sK27(arr(X0,bool),X1)),X0)
| sP0(X3,arr(X0,bool),X1)
| mem(sK26(X3,arr(X0,bool)),arr(X0,bool)) )
| ~ spl29_152
| ~ spl29_171 ),
inference(resolution,[],[f1801,f1463]) ).
tff(f4698,plain,
( spl29_418
| ~ spl29_152
| ~ spl29_170 ),
inference(avatar_split_clause,[],[f1827,f1796,f1462,f4696]) ).
tff(f4696,plain,
( spl29_418
<=> ! [X0,X3,X2,X1: del] :
( ~ p(ap(sK26(X0,arr(X1,bool)),X2))
| ~ mem(X2,X1)
| p(ap(c_2Ebool_2E_3F(X1),sK26(X0,arr(X1,bool))))
| sP0(X0,arr(X1,bool),X3)
| mem(sK27(arr(X1,bool),X3),arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_418])]) ).
tff(f1796,plain,
( spl29_170
<=> ! [X2,X0: del,X1] :
( p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ p(ap(X1,X2))
| ~ mem(X2,X0)
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_170])]) ).
tff(f1827,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( ~ p(ap(sK26(X0,arr(X1,bool)),X2))
| ~ mem(X2,X1)
| p(ap(c_2Ebool_2E_3F(X1),sK26(X0,arr(X1,bool))))
| sP0(X0,arr(X1,bool),X3)
| mem(sK27(arr(X1,bool),X3),arr(X1,bool)) )
| ~ spl29_152
| ~ spl29_170 ),
inference(resolution,[],[f1797,f1463]) ).
tff(f1797,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ mem(X1,arr(X0,bool))
| ~ p(ap(X1,X2))
| ~ mem(X2,X0)
| p(ap(c_2Ebool_2E_3F(X0),X1)) )
| ~ spl29_170 ),
inference(avatar_component_clause,[],[f1796]) ).
tff(f4694,plain,
( spl29_417
| ~ spl29_152
| ~ spl29_170 ),
inference(avatar_split_clause,[],[f1825,f1796,f1462,f4692]) ).
tff(f4692,plain,
( spl29_417
<=> ! [X0: del,X3,X2,X1] :
( ~ p(ap(sK27(arr(X0,bool),X1),X2))
| ~ mem(X2,X0)
| p(ap(c_2Ebool_2E_3F(X0),sK27(arr(X0,bool),X1)))
| sP0(X3,arr(X0,bool),X1)
| mem(sK26(X3,arr(X0,bool)),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_417])]) ).
tff(f1825,plain,
( ! [X2: $i,X3: $i,X0: del,X1: $i] :
( ~ p(ap(sK27(arr(X0,bool),X1),X2))
| ~ mem(X2,X0)
| p(ap(c_2Ebool_2E_3F(X0),sK27(arr(X0,bool),X1)))
| sP0(X3,arr(X0,bool),X1)
| mem(sK26(X3,arr(X0,bool)),arr(X0,bool)) )
| ~ spl29_152
| ~ spl29_170 ),
inference(resolution,[],[f1797,f1463]) ).
tff(f4690,plain,
( spl29_416
| ~ spl29_164
| ~ spl29_166 ),
inference(avatar_split_clause,[],[f1782,f1741,f1733,f4688]) ).
tff(f4688,plain,
( spl29_416
<=> ! [X2,X0: del,X1: del] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Emin_2E_3D(X1),X2)))
| ~ mem(ap(c_2Emin_2E_3D(X1),X2),arr(X0,bool))
| ( sK22(X0,ap(c_2Emin_2E_3D(X1),X2)) = X2 )
| ~ mem(sK22(X0,ap(c_2Emin_2E_3D(X1),X2)),X1)
| ~ mem(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_416])]) ).
tff(f1733,plain,
( spl29_164
<=> ! [X2,X0: del,X1] :
( ( X1 = X2 )
| ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ~ mem(X2,X0)
| ~ mem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_164])]) ).
tff(f1741,plain,
( spl29_166
<=> ! [X0: del,X1] :
( p(ap(X1,sK22(X0,X1)))
| ~ p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_166])]) ).
tff(f1782,plain,
( ! [X2: $i,X0: del,X1: del] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Emin_2E_3D(X1),X2)))
| ~ mem(ap(c_2Emin_2E_3D(X1),X2),arr(X0,bool))
| ( sK22(X0,ap(c_2Emin_2E_3D(X1),X2)) = X2 )
| ~ mem(sK22(X0,ap(c_2Emin_2E_3D(X1),X2)),X1)
| ~ mem(X2,X1) )
| ~ spl29_164
| ~ spl29_166 ),
inference(resolution,[],[f1742,f1734]) ).
tff(f1734,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ( X1 = X2 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) )
| ~ spl29_164 ),
inference(avatar_component_clause,[],[f1733]) ).
tff(f1742,plain,
( ! [X0: del,X1: $i] :
( p(ap(X1,sK22(X0,X1)))
| ~ p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool)) )
| ~ spl29_166 ),
inference(avatar_component_clause,[],[f1741]) ).
tff(f4560,plain,
( spl29_415
| ~ spl29_260
| ~ spl29_351 ),
inference(avatar_split_clause,[],[f4354,f3714,f2556,f4557]) ).
tff(f4557,plain,
( spl29_415
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK18),sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_415])]) ).
tff(f2556,plain,
( spl29_260
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_260])]) ).
tff(f4354,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(sK18),sK19)))
| ~ spl29_260
| ~ spl29_351 ),
inference(resolution,[],[f3715,f2557]) ).
tff(f2557,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1))) )
| ~ spl29_260 ),
inference(avatar_component_clause,[],[f2556]) ).
tff(f3715,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__neg(sK19))))
| ~ spl29_351 ),
inference(avatar_component_clause,[],[f3714]) ).
tff(f4554,plain,
( spl29_414
| ~ spl29_147
| ~ spl29_183 ),
inference(avatar_split_clause,[],[f1927,f1920,f1441,f4552]) ).
tff(f4552,plain,
( spl29_414
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Ebool_2E_5C_2F,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0))))
| ~ sP1(X2,X1,ap(c_2Ebool_2E_5C_2F,X0))
| ~ p(X0)
| ~ mem(sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_414])]) ).
tff(f1441,plain,
( spl29_147
<=> ! [X0,X1] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_147])]) ).
tff(f1927,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Ebool_2E_5C_2F,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0))))
| ~ sP1(X2,X1,ap(c_2Ebool_2E_5C_2F,X0))
| ~ p(X0)
| ~ mem(sK25(X2,X1,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_147
| ~ spl29_183 ),
inference(resolution,[],[f1921,f1442]) ).
tff(f1442,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_147 ),
inference(avatar_component_clause,[],[f1441]) ).
tff(f4550,plain,
( spl29_413
| ~ spl29_149
| ~ spl29_183 ),
inference(avatar_split_clause,[],[f1925,f1920,f1449,f4548]) ).
tff(f4548,plain,
( spl29_413
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Emin_2E_3D_3D_3E,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0))))
| ~ sP1(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0))
| p(X0)
| ~ mem(sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_413])]) ).
tff(f1449,plain,
( spl29_149
<=> ! [X0,X1] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_149])]) ).
tff(f1925,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Emin_2E_3D_3D_3E,X0),X1,X2)
| ~ p(ap(X2,sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0))))
| ~ sP1(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0))
| p(X0)
| ~ mem(sK25(X2,X1,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_149
| ~ spl29_183 ),
inference(resolution,[],[f1921,f1450]) ).
tff(f1450,plain,
( ! [X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_149 ),
inference(avatar_component_clause,[],[f1449]) ).
tff(f4546,plain,
( spl29_412
| ~ spl29_161
| ~ spl29_176 ),
inference(avatar_split_clause,[],[f1873,f1854,f1721,f4544]) ).
tff(f4544,plain,
( spl29_412
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_2F_5C,X0),arr(X2,bool))
| ~ p(sK23(X2,ap(c_2Ebool_2E_2F_5C,X0)))
| ~ p(X0)
| ~ mem(sK23(X2,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_412])]) ).
tff(f1854,plain,
( spl29_176
<=> ! [X0: del,X1,X3] :
( ~ p(ap(X1,sK23(X0,X1)))
| p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_176])]) ).
tff(f1873,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_2F_5C,X0),arr(X2,bool))
| ~ p(sK23(X2,ap(c_2Ebool_2E_2F_5C,X0)))
| ~ p(X0)
| ~ mem(sK23(X2,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_161
| ~ spl29_176 ),
inference(resolution,[],[f1855,f1722]) ).
tff(f1855,plain,
( ! [X3: $i,X0: del,X1: $i] :
( ~ p(ap(X1,sK23(X0,X1)))
| p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ mem(X1,arr(X0,bool)) )
| ~ spl29_176 ),
inference(avatar_component_clause,[],[f1854]) ).
tff(f4542,plain,
( spl29_411
| ~ spl29_161
| ~ spl29_175 ),
inference(avatar_split_clause,[],[f1867,f1850,f1721,f4540]) ).
tff(f4540,plain,
( spl29_411
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_2F_5C,X0),arr(X2,bool))
| ~ p(sK24(X2,ap(c_2Ebool_2E_2F_5C,X0)))
| ~ p(X0)
| ~ mem(sK24(X2,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_411])]) ).
tff(f1850,plain,
( spl29_175
<=> ! [X5,X0: del,X1] :
( ~ p(ap(X1,sK24(X0,X1)))
| p(ap(X1,X5))
| ~ mem(X5,X0)
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_175])]) ).
tff(f1867,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_2F_5C,X0),arr(X2,bool))
| ~ p(sK24(X2,ap(c_2Ebool_2E_2F_5C,X0)))
| ~ p(X0)
| ~ mem(sK24(X2,ap(c_2Ebool_2E_2F_5C,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_161
| ~ spl29_175 ),
inference(resolution,[],[f1851,f1722]) ).
tff(f1851,plain,
( ! [X0: del,X1: $i,X5: $i] :
( ~ p(ap(X1,sK24(X0,X1)))
| p(ap(X1,X5))
| ~ mem(X5,X0)
| ~ mem(X1,arr(X0,bool)) )
| ~ spl29_175 ),
inference(avatar_component_clause,[],[f1850]) ).
tff(f4538,plain,
( spl29_410
| ~ spl29_151
| ~ spl29_172 ),
inference(avatar_split_clause,[],[f1838,f1804,f1457,f4536]) ).
tff(f4536,plain,
( spl29_410
<=> ! [X0,X3,X2,X1: del] :
( p(ap(sK25(X0,arr(X1,bool),X2),X3))
| ~ mem(X3,X1)
| mem(sK23(X1,sK25(X0,arr(X1,bool),X2)),X1)
| sP0(X2,arr(X1,bool),X0)
| ~ sP1(X0,arr(X1,bool),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_410])]) ).
tff(f1838,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( p(ap(sK25(X0,arr(X1,bool),X2),X3))
| ~ mem(X3,X1)
| mem(sK23(X1,sK25(X0,arr(X1,bool),X2)),X1)
| sP0(X2,arr(X1,bool),X0)
| ~ sP1(X0,arr(X1,bool),X2) )
| ~ spl29_151
| ~ spl29_172 ),
inference(resolution,[],[f1805,f1458]) ).
tff(f4534,plain,
( spl29_409
| ~ spl29_151
| ~ spl29_171 ),
inference(avatar_split_clause,[],[f1832,f1800,f1457,f4532]) ).
tff(f4532,plain,
( spl29_409
<=> ! [X0,X3,X2,X1: del] :
( p(ap(sK25(X0,arr(X1,bool),X2),X3))
| ~ mem(X3,X1)
| mem(sK24(X1,sK25(X0,arr(X1,bool),X2)),X1)
| sP0(X2,arr(X1,bool),X0)
| ~ sP1(X0,arr(X1,bool),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_409])]) ).
tff(f1832,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( p(ap(sK25(X0,arr(X1,bool),X2),X3))
| ~ mem(X3,X1)
| mem(sK24(X1,sK25(X0,arr(X1,bool),X2)),X1)
| sP0(X2,arr(X1,bool),X0)
| ~ sP1(X0,arr(X1,bool),X2) )
| ~ spl29_151
| ~ spl29_171 ),
inference(resolution,[],[f1801,f1458]) ).
tff(f4530,plain,
( spl29_408
| ~ spl29_151
| ~ spl29_170 ),
inference(avatar_split_clause,[],[f1826,f1796,f1457,f4528]) ).
tff(f4528,plain,
( spl29_408
<=> ! [X0,X3,X2,X1: del] :
( ~ p(ap(sK25(X0,arr(X1,bool),X2),X3))
| ~ mem(X3,X1)
| p(ap(c_2Ebool_2E_3F(X1),sK25(X0,arr(X1,bool),X2)))
| sP0(X2,arr(X1,bool),X0)
| ~ sP1(X0,arr(X1,bool),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_408])]) ).
tff(f1826,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( ~ p(ap(sK25(X0,arr(X1,bool),X2),X3))
| ~ mem(X3,X1)
| p(ap(c_2Ebool_2E_3F(X1),sK25(X0,arr(X1,bool),X2)))
| sP0(X2,arr(X1,bool),X0)
| ~ sP1(X0,arr(X1,bool),X2) )
| ~ spl29_151
| ~ spl29_170 ),
inference(resolution,[],[f1797,f1458]) ).
tff(f4408,plain,
( spl29_407
| ~ spl29_152
| ~ spl29_157 ),
inference(avatar_split_clause,[],[f1706,f1686,f1462,f4406]) ).
tff(f4406,plain,
( spl29_407
<=> ! [X2,X0: del,X1] :
( mem(sK21(X0,sK26(X1,arr(X0,bool))),X0)
| p(ap(c_2Ebool_2E_21(X0),sK26(X1,arr(X0,bool))))
| sP0(X1,arr(X0,bool),X2)
| mem(sK27(arr(X0,bool),X2),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_407])]) ).
tff(f1686,plain,
( spl29_157
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| mem(sK21(X0,X1),X0)
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_157])]) ).
tff(f1706,plain,
( ! [X2: $i,X0: del,X1: $i] :
( mem(sK21(X0,sK26(X1,arr(X0,bool))),X0)
| p(ap(c_2Ebool_2E_21(X0),sK26(X1,arr(X0,bool))))
| sP0(X1,arr(X0,bool),X2)
| mem(sK27(arr(X0,bool),X2),arr(X0,bool)) )
| ~ spl29_152
| ~ spl29_157 ),
inference(resolution,[],[f1687,f1463]) ).
tff(f1687,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,arr(X0,bool))
| mem(sK21(X0,X1),X0)
| p(ap(c_2Ebool_2E_21(X0),X1)) )
| ~ spl29_157 ),
inference(avatar_component_clause,[],[f1686]) ).
tff(f4404,plain,
( spl29_406
| ~ spl29_152
| ~ spl29_157 ),
inference(avatar_split_clause,[],[f1704,f1686,f1462,f4402]) ).
tff(f4402,plain,
( spl29_406
<=> ! [X2,X0: del,X1] :
( mem(sK21(X0,sK27(arr(X0,bool),X1)),X0)
| p(ap(c_2Ebool_2E_21(X0),sK27(arr(X0,bool),X1)))
| sP0(X2,arr(X0,bool),X1)
| mem(sK26(X2,arr(X0,bool)),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_406])]) ).
tff(f1704,plain,
( ! [X2: $i,X0: del,X1: $i] :
( mem(sK21(X0,sK27(arr(X0,bool),X1)),X0)
| p(ap(c_2Ebool_2E_21(X0),sK27(arr(X0,bool),X1)))
| sP0(X2,arr(X0,bool),X1)
| mem(sK26(X2,arr(X0,bool)),arr(X0,bool)) )
| ~ spl29_152
| ~ spl29_157 ),
inference(resolution,[],[f1687,f1463]) ).
tff(f4353,plain,
( spl29_405
| ~ spl29_148
| ~ spl29_176 ),
inference(avatar_split_clause,[],[f1871,f1854,f1445,f4351]) ).
tff(f4351,plain,
( spl29_405
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_5C_2F,X0),arr(X2,bool))
| ~ p(sK23(X2,ap(c_2Ebool_2E_5C_2F,X0)))
| ~ mem(sK23(X2,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_405])]) ).
tff(f1871,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_5C_2F,X0),arr(X2,bool))
| ~ p(sK23(X2,ap(c_2Ebool_2E_5C_2F,X0)))
| ~ mem(sK23(X2,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_148
| ~ spl29_176 ),
inference(resolution,[],[f1855,f1446]) ).
tff(f4349,plain,
( spl29_404
| ~ spl29_150
| ~ spl29_176 ),
inference(avatar_split_clause,[],[f1869,f1854,f1453,f4347]) ).
tff(f4347,plain,
( spl29_404
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(X2,bool))
| ~ p(sK23(X2,ap(c_2Emin_2E_3D_3D_3E,X0)))
| ~ mem(sK23(X2,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_404])]) ).
tff(f1869,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(X2,bool))
| ~ p(sK23(X2,ap(c_2Emin_2E_3D_3D_3E,X0)))
| ~ mem(sK23(X2,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_150
| ~ spl29_176 ),
inference(resolution,[],[f1855,f1454]) ).
tff(f4345,plain,
( spl29_403
| ~ spl29_148
| ~ spl29_175 ),
inference(avatar_split_clause,[],[f1865,f1850,f1445,f4343]) ).
tff(f4343,plain,
( spl29_403
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_5C_2F,X0),arr(X2,bool))
| ~ p(sK24(X2,ap(c_2Ebool_2E_5C_2F,X0)))
| ~ mem(sK24(X2,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_403])]) ).
tff(f1865,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_5C_2F,X0),arr(X2,bool))
| ~ p(sK24(X2,ap(c_2Ebool_2E_5C_2F,X0)))
| ~ mem(sK24(X2,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_148
| ~ spl29_175 ),
inference(resolution,[],[f1851,f1446]) ).
tff(f4341,plain,
( spl29_402
| ~ spl29_150
| ~ spl29_175 ),
inference(avatar_split_clause,[],[f1863,f1850,f1453,f4339]) ).
tff(f4339,plain,
( spl29_402
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(X2,bool))
| ~ p(sK24(X2,ap(c_2Emin_2E_3D_3D_3E,X0)))
| ~ mem(sK24(X2,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_402])]) ).
tff(f1863,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(X2,bool))
| ~ p(sK24(X2,ap(c_2Emin_2E_3D_3D_3E,X0)))
| ~ mem(sK24(X2,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_150
| ~ spl29_175 ),
inference(resolution,[],[f1851,f1454]) ).
tff(f4337,plain,
( spl29_401
| ~ spl29_163
| ~ spl29_166 ),
inference(avatar_split_clause,[],[f1781,f1741,f1729,f4335]) ).
tff(f4335,plain,
( spl29_401
<=> ! [X0: del,X1] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| ~ p(X1)
| p(sK22(X0,ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(sK22(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_401])]) ).
tff(f1729,plain,
( spl29_163
<=> ! [X0,X1] :
( p(X1)
| ~ p(X0)
| ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_163])]) ).
tff(f1781,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| ~ p(X1)
| p(sK22(X0,ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(sK22(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_163
| ~ spl29_166 ),
inference(resolution,[],[f1742,f1730]) ).
tff(f1730,plain,
( ! [X0: $i,X1: $i] :
( ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ p(X0)
| p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_163 ),
inference(avatar_component_clause,[],[f1729]) ).
tff(f4333,plain,
( spl29_400
| ~ spl29_162
| ~ spl29_166 ),
inference(avatar_split_clause,[],[f1780,f1741,f1725,f4331]) ).
tff(f4331,plain,
( spl29_400
<=> ! [X0: del,X1] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| p(X1)
| p(sK22(X0,ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(sK22(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_400])]) ).
tff(f1725,plain,
( spl29_162
<=> ! [X0,X1] :
( p(X1)
| p(X0)
| ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_162])]) ).
tff(f1780,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| p(X1)
| p(sK22(X0,ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(sK22(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_162
| ~ spl29_166 ),
inference(resolution,[],[f1742,f1726]) ).
tff(f1726,plain,
( ! [X0: $i,X1: $i] :
( ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| p(X0)
| p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_162 ),
inference(avatar_component_clause,[],[f1725]) ).
tff(f4329,plain,
( spl29_399
| ~ spl29_161
| ~ spl29_165 ),
inference(avatar_split_clause,[],[f1777,f1737,f1721,f4327]) ).
tff(f4327,plain,
( spl29_399
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
| ~ p(sK21(X0,ap(c_2Ebool_2E_2F_5C,X1)))
| ~ p(X1)
| ~ mem(sK21(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_399])]) ).
tff(f1737,plain,
( spl29_165
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ~ p(ap(X1,sK21(X0,X1)))
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_165])]) ).
tff(f1777,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
| ~ p(sK21(X0,ap(c_2Ebool_2E_2F_5C,X1)))
| ~ p(X1)
| ~ mem(sK21(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_161
| ~ spl29_165 ),
inference(resolution,[],[f1738,f1722]) ).
tff(f1738,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(X1,sK21(X0,X1)))
| p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool)) )
| ~ spl29_165 ),
inference(avatar_component_clause,[],[f1737]) ).
tff(f4325,plain,
( spl29_398
| ~ spl29_151
| ~ spl29_157 ),
inference(avatar_split_clause,[],[f1705,f1686,f1457,f4323]) ).
tff(f4323,plain,
( spl29_398
<=> ! [X2,X0: del,X1] :
( mem(sK21(X0,sK25(X1,arr(X0,bool),X2)),X0)
| p(ap(c_2Ebool_2E_21(X0),sK25(X1,arr(X0,bool),X2)))
| sP0(X2,arr(X0,bool),X1)
| ~ sP1(X1,arr(X0,bool),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_398])]) ).
tff(f1705,plain,
( ! [X2: $i,X0: del,X1: $i] :
( mem(sK21(X0,sK25(X1,arr(X0,bool),X2)),X0)
| p(ap(c_2Ebool_2E_21(X0),sK25(X1,arr(X0,bool),X2)))
| sP0(X2,arr(X0,bool),X1)
| ~ sP1(X1,arr(X0,bool),X2) )
| ~ spl29_151
| ~ spl29_157 ),
inference(resolution,[],[f1687,f1458]) ).
tff(f4317,plain,
( spl29_397
| ~ spl29_166
| ~ spl29_169 ),
inference(avatar_split_clause,[],[f1821,f1792,f1741,f4315]) ).
tff(f4315,plain,
( spl29_397
<=> ! [X2: del,X0,X1: del] :
( ~ mem(X0,X1)
| p(ap(sK22(X2,c_2Ebool_2E_21(X1)),X0))
| ~ mem(sK22(X2,c_2Ebool_2E_21(X1)),arr(X1,bool))
| ~ p(ap(c_2Ebool_2E_3F(X2),c_2Ebool_2E_21(X1)))
| ~ mem(c_2Ebool_2E_21(X1),arr(X2,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_397])]) ).
tff(f1792,plain,
( spl29_169
<=> ! [X0: del,X1,X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_169])]) ).
tff(f1821,plain,
( ! [X2: del,X0: $i,X1: del] :
( ~ mem(X0,X1)
| p(ap(sK22(X2,c_2Ebool_2E_21(X1)),X0))
| ~ mem(sK22(X2,c_2Ebool_2E_21(X1)),arr(X1,bool))
| ~ p(ap(c_2Ebool_2E_3F(X2),c_2Ebool_2E_21(X1)))
| ~ mem(c_2Ebool_2E_21(X1),arr(X2,bool)) )
| ~ spl29_166
| ~ spl29_169 ),
inference(resolution,[],[f1793,f1742]) ).
tff(f1793,plain,
( ! [X3: $i,X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X3,X0)
| p(ap(X1,X3))
| ~ mem(X1,arr(X0,bool)) )
| ~ spl29_169 ),
inference(avatar_component_clause,[],[f1792]) ).
tff(f4313,plain,
( spl29_396
| ~ spl29_161
| ~ spl29_167 ),
inference(avatar_split_clause,[],[f1790,f1745,f1721,f4311]) ).
tff(f4311,plain,
( spl29_396
<=> ! [X2,X0,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Ebool_2E_2F_5C,X2))
| ~ p(sK27(X1,ap(c_2Ebool_2E_2F_5C,X2)))
| ~ p(X2)
| ~ mem(sK27(X1,ap(c_2Ebool_2E_2F_5C,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_396])]) ).
tff(f1745,plain,
( spl29_167
<=> ! [X2,X0,X1: del] :
( sP0(X0,X1,X2)
| ~ p(ap(X0,sK26(X0,X1)))
| ~ p(ap(X2,sK27(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_167])]) ).
tff(f1790,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Ebool_2E_2F_5C,X2))
| ~ p(sK27(X1,ap(c_2Ebool_2E_2F_5C,X2)))
| ~ p(X2)
| ~ mem(sK27(X1,ap(c_2Ebool_2E_2F_5C,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_161
| ~ spl29_167 ),
inference(resolution,[],[f1746,f1722]) ).
tff(f1746,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X2,sK27(X1,X2)))
| ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,X2) )
| ~ spl29_167 ),
inference(avatar_component_clause,[],[f1745]) ).
tff(f4309,plain,
( spl29_395
| ~ spl29_146
| ~ spl29_166 ),
inference(avatar_split_clause,[],[f1778,f1741,f1437,f4307]) ).
tff(f4307,plain,
( spl29_395
<=> ! [X0: del,X1] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
| p(sK22(X0,ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(sK22(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_395])]) ).
tff(f1437,plain,
( spl29_146
<=> ! [X0,X1] :
( p(X1)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_146])]) ).
tff(f1778,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
| p(sK22(X0,ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(sK22(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_146
| ~ spl29_166 ),
inference(resolution,[],[f1742,f1438]) ).
tff(f1438,plain,
( ! [X0: $i,X1: $i] :
( ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_146 ),
inference(avatar_component_clause,[],[f1437]) ).
tff(f4305,plain,
( spl29_394
| ~ spl29_148
| ~ spl29_165 ),
inference(avatar_split_clause,[],[f1775,f1737,f1445,f4303]) ).
tff(f4303,plain,
( spl29_394
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| ~ p(sK21(X0,ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(sK21(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_394])]) ).
tff(f1775,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| ~ p(sK21(X0,ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(sK21(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_148
| ~ spl29_165 ),
inference(resolution,[],[f1738,f1446]) ).
tff(f4301,plain,
( spl29_393
| ~ spl29_150
| ~ spl29_165 ),
inference(avatar_split_clause,[],[f1773,f1737,f1453,f4299]) ).
tff(f4299,plain,
( spl29_393
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| ~ p(sK21(X0,ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(sK21(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_393])]) ).
tff(f1773,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| ~ p(sK21(X0,ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(sK21(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_150
| ~ spl29_165 ),
inference(resolution,[],[f1738,f1454]) ).
tff(f4286,plain,
( spl29_392
| ~ spl29_160
| ~ spl29_161 ),
inference(avatar_split_clause,[],[f1751,f1721,f1698,f4284]) ).
tff(f4284,plain,
( spl29_392
<=> ! [X2,X0,X1: del] :
( ~ p(sK26(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X0)
| ~ mem(sK26(ap(c_2Ebool_2E_2F_5C,X0),X1),bool)
| ~ mem(X0,bool)
| sP0(ap(c_2Ebool_2E_2F_5C,X0),X1,X2)
| mem(sK27(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_392])]) ).
tff(f1698,plain,
( spl29_160
<=> ! [X2,X0,X1: del] :
( sP0(X0,X1,X2)
| ~ p(ap(X0,sK26(X0,X1)))
| mem(sK27(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_160])]) ).
tff(f1751,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(sK26(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X0)
| ~ mem(sK26(ap(c_2Ebool_2E_2F_5C,X0),X1),bool)
| ~ mem(X0,bool)
| sP0(ap(c_2Ebool_2E_2F_5C,X0),X1,X2)
| mem(sK27(X1,X2),X1) )
| ~ spl29_160
| ~ spl29_161 ),
inference(resolution,[],[f1722,f1699]) ).
tff(f1699,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,X2)
| mem(sK27(X1,X2),X1) )
| ~ spl29_160 ),
inference(avatar_component_clause,[],[f1698]) ).
tff(f4282,plain,
( spl29_391
| ~ spl29_159
| ~ spl29_161 ),
inference(avatar_split_clause,[],[f1750,f1721,f1694,f4280]) ).
tff(f4280,plain,
( spl29_391
<=> ! [X2,X0: del,X1] :
( ~ p(sK27(X0,ap(c_2Ebool_2E_2F_5C,X1)))
| ~ p(X1)
| ~ mem(sK27(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool)
| mem(sK26(X2,X0),X0)
| sP0(X2,X0,ap(c_2Ebool_2E_2F_5C,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_391])]) ).
tff(f1694,plain,
( spl29_159
<=> ! [X2,X0,X1: del] :
( sP0(X0,X1,X2)
| mem(sK26(X0,X1),X1)
| ~ p(ap(X2,sK27(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_159])]) ).
tff(f1750,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ p(sK27(X0,ap(c_2Ebool_2E_2F_5C,X1)))
| ~ p(X1)
| ~ mem(sK27(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool)
| mem(sK26(X2,X0),X0)
| sP0(X2,X0,ap(c_2Ebool_2E_2F_5C,X1)) )
| ~ spl29_159
| ~ spl29_161 ),
inference(resolution,[],[f1722,f1695]) ).
tff(f1695,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X2,sK27(X1,X2)))
| mem(sK26(X0,X1),X1)
| sP0(X0,X1,X2) )
| ~ spl29_159 ),
inference(avatar_component_clause,[],[f1694]) ).
tff(f4217,plain,
( spl29_390
| ~ spl29_147
| ~ spl29_176 ),
inference(avatar_split_clause,[],[f1872,f1854,f1441,f4215]) ).
tff(f4215,plain,
( spl29_390
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_5C_2F,X0),arr(X2,bool))
| ~ p(X0)
| ~ mem(sK23(X2,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_390])]) ).
tff(f1872,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_5C_2F,X0),arr(X2,bool))
| ~ p(X0)
| ~ mem(sK23(X2,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_147
| ~ spl29_176 ),
inference(resolution,[],[f1855,f1442]) ).
tff(f4213,plain,
( spl29_389
| ~ spl29_149
| ~ spl29_176 ),
inference(avatar_split_clause,[],[f1870,f1854,f1449,f4211]) ).
tff(f4211,plain,
( spl29_389
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(X2,bool))
| p(X0)
| ~ mem(sK23(X2,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_389])]) ).
tff(f1870,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(X2,bool))
| p(X0)
| ~ mem(sK23(X2,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_149
| ~ spl29_176 ),
inference(resolution,[],[f1855,f1450]) ).
tff(f4209,plain,
( spl29_388
| ~ spl29_147
| ~ spl29_175 ),
inference(avatar_split_clause,[],[f1866,f1850,f1441,f4207]) ).
tff(f4207,plain,
( spl29_388
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_5C_2F,X0),arr(X2,bool))
| ~ p(X0)
| ~ mem(sK24(X2,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_388])]) ).
tff(f1866,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Ebool_2E_5C_2F,X0),arr(X2,bool))
| ~ p(X0)
| ~ mem(sK24(X2,ap(c_2Ebool_2E_5C_2F,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_147
| ~ spl29_175 ),
inference(resolution,[],[f1851,f1442]) ).
tff(f4205,plain,
( spl29_387
| ~ spl29_149
| ~ spl29_175 ),
inference(avatar_split_clause,[],[f1864,f1850,f1449,f4203]) ).
tff(f4203,plain,
( spl29_387
<=> ! [X2: del,X0,X1] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(X2,bool))
| p(X0)
| ~ mem(sK24(X2,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_387])]) ).
tff(f1864,plain,
( ! [X2: del,X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,X2)
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(X2,bool))
| p(X0)
| ~ mem(sK24(X2,ap(c_2Emin_2E_3D_3D_3E,X0)),bool)
| ~ mem(X0,bool) )
| ~ spl29_149
| ~ spl29_175 ),
inference(resolution,[],[f1851,f1450]) ).
tff(f4201,plain,
( spl29_386
| ~ spl29_148
| ~ spl29_167 ),
inference(avatar_split_clause,[],[f1788,f1745,f1445,f4199]) ).
tff(f4199,plain,
( spl29_386
<=> ! [X2,X0,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Ebool_2E_5C_2F,X2))
| ~ p(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)))
| ~ mem(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_386])]) ).
tff(f1788,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Ebool_2E_5C_2F,X2))
| ~ p(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)))
| ~ mem(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_148
| ~ spl29_167 ),
inference(resolution,[],[f1746,f1446]) ).
tff(f4197,plain,
( spl29_385
| ~ spl29_150
| ~ spl29_167 ),
inference(avatar_split_clause,[],[f1786,f1745,f1453,f4195]) ).
tff(f4195,plain,
( spl29_385
<=> ! [X2,X0,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Emin_2E_3D_3D_3E,X2))
| ~ p(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)))
| ~ mem(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_385])]) ).
tff(f1786,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Emin_2E_3D_3D_3E,X2))
| ~ p(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)))
| ~ mem(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_150
| ~ spl29_167 ),
inference(resolution,[],[f1746,f1454]) ).
tff(f4193,plain,
( spl29_384
| ~ spl29_158
| ~ spl29_166 ),
inference(avatar_split_clause,[],[f1783,f1741,f1690,f4191]) ).
tff(f4191,plain,
( spl29_384
<=> ! [X0: del,X1: del] :
( ~ p(ap(c_2Ebool_2E_3F(X0),c_2Ebool_2E_3F(X1)))
| ~ mem(c_2Ebool_2E_3F(X1),arr(X0,bool))
| mem(sK22(X1,sK22(X0,c_2Ebool_2E_3F(X1))),X1)
| ~ mem(sK22(X0,c_2Ebool_2E_3F(X1)),arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_384])]) ).
tff(f1690,plain,
( spl29_158
<=> ! [X0: del,X1] :
( mem(sK22(X0,X1),X0)
| ~ p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_158])]) ).
tff(f1783,plain,
( ! [X0: del,X1: del] :
( ~ p(ap(c_2Ebool_2E_3F(X0),c_2Ebool_2E_3F(X1)))
| ~ mem(c_2Ebool_2E_3F(X1),arr(X0,bool))
| mem(sK22(X1,sK22(X0,c_2Ebool_2E_3F(X1))),X1)
| ~ mem(sK22(X0,c_2Ebool_2E_3F(X1)),arr(X1,bool)) )
| ~ spl29_158
| ~ spl29_166 ),
inference(resolution,[],[f1742,f1691]) ).
tff(f1691,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_3F(X0),X1))
| mem(sK22(X0,X1),X0)
| ~ mem(X1,arr(X0,bool)) )
| ~ spl29_158 ),
inference(avatar_component_clause,[],[f1690]) ).
tff(f4189,plain,
( spl29_383
| ~ spl29_152
| ~ spl29_153 ),
inference(avatar_split_clause,[],[f1675,f1466,f1462,f4187]) ).
tff(f4187,plain,
( spl29_383
<=> ! [X0,X3,X2,X1: del] :
( sP1(X0,X1,sK26(X2,arr(X1,bool)))
| ~ mem(X0,arr(X1,bool))
| sP0(X2,arr(X1,bool),X3)
| mem(sK27(arr(X1,bool),X3),arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_383])]) ).
tff(f1466,plain,
( spl29_153
<=> ! [X2,X0: del,X1] :
( sP1(X1,X0,X2)
| ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_153])]) ).
tff(f1675,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( sP1(X0,X1,sK26(X2,arr(X1,bool)))
| ~ mem(X0,arr(X1,bool))
| sP0(X2,arr(X1,bool),X3)
| mem(sK27(arr(X1,bool),X3),arr(X1,bool)) )
| ~ spl29_152
| ~ spl29_153 ),
inference(resolution,[],[f1467,f1463]) ).
tff(f1467,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ mem(X2,arr(X0,bool))
| sP1(X1,X0,X2)
| ~ mem(X1,arr(X0,bool)) )
| ~ spl29_153 ),
inference(avatar_component_clause,[],[f1466]) ).
tff(f4185,plain,
( spl29_382
| ~ spl29_152
| ~ spl29_153 ),
inference(avatar_split_clause,[],[f1673,f1466,f1462,f4183]) ).
tff(f4183,plain,
( spl29_382
<=> ! [X0,X3,X2,X1: del] :
( sP1(X0,X1,sK27(arr(X1,bool),X2))
| ~ mem(X0,arr(X1,bool))
| sP0(X3,arr(X1,bool),X2)
| mem(sK26(X3,arr(X1,bool)),arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_382])]) ).
tff(f1673,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( sP1(X0,X1,sK27(arr(X1,bool),X2))
| ~ mem(X0,arr(X1,bool))
| sP0(X3,arr(X1,bool),X2)
| mem(sK26(X3,arr(X1,bool)),arr(X1,bool)) )
| ~ spl29_152
| ~ spl29_153 ),
inference(resolution,[],[f1467,f1463]) ).
tff(f4036,plain,
( spl29_381
| ~ spl29_150
| ~ spl29_160 ),
inference(avatar_split_clause,[],[f1718,f1698,f1453,f4034]) ).
tff(f4034,plain,
( spl29_381
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Emin_2E_3D_3D_3E,X0),X1,X2)
| mem(sK27(X1,X2),X1)
| ~ p(sK26(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(sK26(ap(c_2Emin_2E_3D_3D_3E,X0),X1),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_381])]) ).
tff(f1718,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Emin_2E_3D_3D_3E,X0),X1,X2)
| mem(sK27(X1,X2),X1)
| ~ p(sK26(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(sK26(ap(c_2Emin_2E_3D_3D_3E,X0),X1),bool)
| ~ mem(X0,bool) )
| ~ spl29_150
| ~ spl29_160 ),
inference(resolution,[],[f1699,f1454]) ).
tff(f4032,plain,
( spl29_380
| ~ spl29_148
| ~ spl29_160 ),
inference(avatar_split_clause,[],[f1716,f1698,f1445,f4030]) ).
tff(f4030,plain,
( spl29_380
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Ebool_2E_5C_2F,X0),X1,X2)
| mem(sK27(X1,X2),X1)
| ~ p(sK26(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(sK26(ap(c_2Ebool_2E_5C_2F,X0),X1),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_380])]) ).
tff(f1716,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Ebool_2E_5C_2F,X0),X1,X2)
| mem(sK27(X1,X2),X1)
| ~ p(sK26(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(sK26(ap(c_2Ebool_2E_5C_2F,X0),X1),bool)
| ~ mem(X0,bool) )
| ~ spl29_148
| ~ spl29_160 ),
inference(resolution,[],[f1699,f1446]) ).
tff(f4028,plain,
( spl29_379
| ~ spl29_150
| ~ spl29_159 ),
inference(avatar_split_clause,[],[f1713,f1694,f1453,f4026]) ).
tff(f4026,plain,
( spl29_379
<=> ! [X2,X0,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,ap(c_2Emin_2E_3D_3D_3E,X2))
| ~ p(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)))
| ~ mem(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_379])]) ).
tff(f1713,plain,
( ! [X2: $i,X0: $i,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,ap(c_2Emin_2E_3D_3D_3E,X2))
| ~ p(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)))
| ~ mem(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_150
| ~ spl29_159 ),
inference(resolution,[],[f1695,f1454]) ).
tff(f4024,plain,
( spl29_378
| ~ spl29_148
| ~ spl29_159 ),
inference(avatar_split_clause,[],[f1711,f1694,f1445,f4022]) ).
tff(f4022,plain,
( spl29_378
<=> ! [X2,X0,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,ap(c_2Ebool_2E_5C_2F,X2))
| ~ p(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)))
| ~ mem(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_378])]) ).
tff(f1711,plain,
( ! [X2: $i,X0: $i,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,ap(c_2Ebool_2E_5C_2F,X2))
| ~ p(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)))
| ~ mem(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_148
| ~ spl29_159 ),
inference(resolution,[],[f1695,f1446]) ).
tff(f4020,plain,
( spl29_377
| spl29_17
| ~ spl29_192 ),
inference(avatar_split_clause,[],[f3878,f1979,f651,f4017]) ).
tff(f4017,plain,
( spl29_377
<=> sP3(fo__c_2Ebool_2ET,fo__c_2Einteger_2Eint__divides(sK18,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_377])]) ).
tff(f1979,plain,
( spl29_192
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(fo__c_2Ebool_2ET,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_192])]) ).
tff(f3878,plain,
( sP3(fo__c_2Ebool_2ET,fo__c_2Einteger_2Eint__divides(sK18,sK20))
| spl29_17
| ~ spl29_192 ),
inference(resolution,[],[f652,f1980]) ).
tff(f1980,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(fo__c_2Ebool_2ET,X0) )
| ~ spl29_192 ),
inference(avatar_component_clause,[],[f1979]) ).
tff(f652,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)))
| spl29_17 ),
inference(avatar_component_clause,[],[f651]) ).
tff(f4015,plain,
( spl29_376
| ~ spl29_122
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1665,f1462,f1227,f4013]) ).
tff(f4013,plain,
( spl29_376
<=> ! [X4,X0: del,X3,X2,X1: del] :
( sP0(X3,arr(X0,X1),X2)
| mem(sK26(X3,arr(X0,X1)),arr(X0,X1))
| ~ mem(X4,X0)
| mem(ap(sK27(arr(X0,X1),X2),X4),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_376])]) ).
tff(f1227,plain,
( spl29_122
<=> ! [X0: del,X3,X2,X1: del] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_122])]) ).
tff(f1665,plain,
( ! [X2: $i,X3: $i,X0: del,X1: del,X4: $i] :
( sP0(X3,arr(X0,X1),X2)
| mem(sK26(X3,arr(X0,X1)),arr(X0,X1))
| ~ mem(X4,X0)
| mem(ap(sK27(arr(X0,X1),X2),X4),X1) )
| ~ spl29_122
| ~ spl29_152 ),
inference(resolution,[],[f1463,f1228]) ).
tff(f1228,plain,
( ! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) )
| ~ spl29_122 ),
inference(avatar_component_clause,[],[f1227]) ).
tff(f4011,plain,
( spl29_375
| ~ spl29_122
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1658,f1462,f1227,f4009]) ).
tff(f4009,plain,
( spl29_375
<=> ! [X4,X0,X3,X2: del,X1: del] :
( sP0(X0,arr(X1,X2),X3)
| mem(sK27(arr(X1,X2),X3),arr(X1,X2))
| ~ mem(X4,X1)
| mem(ap(sK26(X0,arr(X1,X2)),X4),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_375])]) ).
tff(f1658,plain,
( ! [X2: del,X3: $i,X0: $i,X1: del,X4: $i] :
( sP0(X0,arr(X1,X2),X3)
| mem(sK27(arr(X1,X2),X3),arr(X1,X2))
| ~ mem(X4,X1)
| mem(ap(sK26(X0,arr(X1,X2)),X4),X2) )
| ~ spl29_122
| ~ spl29_152 ),
inference(resolution,[],[f1463,f1228]) ).
tff(f3990,plain,
( spl29_374
| ~ spl29_72
| ~ spl29_183 ),
inference(avatar_split_clause,[],[f1923,f1920,f892,f3988]) ).
tff(f3988,plain,
( spl29_374
<=> ! [X0: del,X1] :
( sP0(c_2Ebool_2E_7E,X0,X1)
| ~ p(ap(X1,sK25(X1,X0,c_2Ebool_2E_7E)))
| ~ sP1(X1,X0,c_2Ebool_2E_7E)
| p(sK25(X1,X0,c_2Ebool_2E_7E))
| ~ mem(sK25(X1,X0,c_2Ebool_2E_7E),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_374])]) ).
tff(f892,plain,
( spl29_72
<=> ! [X0] :
( p(ap(c_2Ebool_2E_7E,X0))
| p(X0)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_72])]) ).
tff(f1923,plain,
( ! [X0: del,X1: $i] :
( sP0(c_2Ebool_2E_7E,X0,X1)
| ~ p(ap(X1,sK25(X1,X0,c_2Ebool_2E_7E)))
| ~ sP1(X1,X0,c_2Ebool_2E_7E)
| p(sK25(X1,X0,c_2Ebool_2E_7E))
| ~ mem(sK25(X1,X0,c_2Ebool_2E_7E),bool) )
| ~ spl29_72
| ~ spl29_183 ),
inference(resolution,[],[f1921,f893]) ).
tff(f893,plain,
( ! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| p(X0)
| ~ mem(X0,bool) )
| ~ spl29_72 ),
inference(avatar_component_clause,[],[f892]) ).
tff(f3986,plain,
( spl29_373
| ~ spl29_145
| ~ spl29_166 ),
inference(avatar_split_clause,[],[f1779,f1741,f1433,f3984]) ).
tff(f3984,plain,
( spl29_373
<=> ! [X0: del,X1] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
| p(X1)
| ~ mem(sK22(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_373])]) ).
tff(f1433,plain,
( spl29_145
<=> ! [X0,X1] :
( p(X0)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_145])]) ).
tff(f1779,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_3F(X0),ap(c_2Ebool_2E_2F_5C,X1)))
| ~ mem(ap(c_2Ebool_2E_2F_5C,X1),arr(X0,bool))
| p(X1)
| ~ mem(sK22(X0,ap(c_2Ebool_2E_2F_5C,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_145
| ~ spl29_166 ),
inference(resolution,[],[f1742,f1434]) ).
tff(f1434,plain,
( ! [X0: $i,X1: $i] :
( ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) )
| ~ spl29_145 ),
inference(avatar_component_clause,[],[f1433]) ).
tff(f3982,plain,
( spl29_372
| ~ spl29_147
| ~ spl29_165 ),
inference(avatar_split_clause,[],[f1776,f1737,f1441,f3980]) ).
tff(f3980,plain,
( spl29_372
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| ~ p(X1)
| ~ mem(sK21(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_372])]) ).
tff(f1776,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Ebool_2E_5C_2F,X1)))
| ~ mem(ap(c_2Ebool_2E_5C_2F,X1),arr(X0,bool))
| ~ p(X1)
| ~ mem(sK21(X0,ap(c_2Ebool_2E_5C_2F,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_147
| ~ spl29_165 ),
inference(resolution,[],[f1738,f1442]) ).
tff(f3978,plain,
( spl29_371
| spl29_17
| ~ spl29_193 ),
inference(avatar_split_clause,[],[f3877,f1994,f651,f3975]) ).
tff(f3975,plain,
( spl29_371
<=> sP3(fo__c_2Einteger_2Eint__divides(sK18,sK20),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_371])]) ).
tff(f1994,plain,
( spl29_193
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_193])]) ).
tff(f3877,plain,
( sP3(fo__c_2Einteger_2Eint__divides(sK18,sK20),fo__c_2Ebool_2ET)
| spl29_17
| ~ spl29_193 ),
inference(resolution,[],[f652,f1995]) ).
tff(f1995,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(X0,fo__c_2Ebool_2ET) )
| ~ spl29_193 ),
inference(avatar_component_clause,[],[f1994]) ).
tff(f3973,plain,
( spl29_370
| ~ spl29_149
| ~ spl29_165 ),
inference(avatar_split_clause,[],[f1774,f1737,f1449,f3971]) ).
tff(f3971,plain,
( spl29_370
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| p(X1)
| ~ mem(sK21(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_370])]) ).
tff(f1774,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),ap(c_2Emin_2E_3D_3D_3E,X1)))
| ~ mem(ap(c_2Emin_2E_3D_3D_3E,X1),arr(X0,bool))
| p(X1)
| ~ mem(sK21(X0,ap(c_2Emin_2E_3D_3D_3E,X1)),bool)
| ~ mem(X1,bool) )
| ~ spl29_149
| ~ spl29_165 ),
inference(resolution,[],[f1738,f1450]) ).
tff(f3969,plain,
( spl29_369
| ~ spl29_151
| ~ spl29_153 ),
inference(avatar_split_clause,[],[f1674,f1466,f1457,f3967]) ).
tff(f3967,plain,
( spl29_369
<=> ! [X0,X3,X2,X1: del] :
( sP1(X0,X1,sK25(X2,arr(X1,bool),X3))
| ~ mem(X0,arr(X1,bool))
| sP0(X3,arr(X1,bool),X2)
| ~ sP1(X2,arr(X1,bool),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_369])]) ).
tff(f1674,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( sP1(X0,X1,sK25(X2,arr(X1,bool),X3))
| ~ mem(X0,arr(X1,bool))
| sP0(X3,arr(X1,bool),X2)
| ~ sP1(X2,arr(X1,bool),X3) )
| ~ spl29_151
| ~ spl29_153 ),
inference(resolution,[],[f1467,f1458]) ).
tff(f3929,plain,
( spl29_368
| ~ spl29_122
| ~ spl29_151 ),
inference(avatar_split_clause,[],[f1484,f1457,f1227,f3927]) ).
tff(f3927,plain,
( spl29_368
<=> ! [X4,X0,X3,X2: del,X1: del] :
( sP0(X0,arr(X1,X2),X3)
| ~ sP1(X3,arr(X1,X2),X0)
| ~ mem(X4,X1)
| mem(ap(sK25(X3,arr(X1,X2),X0),X4),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_368])]) ).
tff(f1484,plain,
( ! [X2: del,X3: $i,X0: $i,X1: del,X4: $i] :
( sP0(X0,arr(X1,X2),X3)
| ~ sP1(X3,arr(X1,X2),X0)
| ~ mem(X4,X1)
| mem(ap(sK25(X3,arr(X1,X2),X0),X4),X2) )
| ~ spl29_122
| ~ spl29_151 ),
inference(resolution,[],[f1458,f1228]) ).
tff(f3916,plain,
( spl29_367
| ~ spl29_147
| ~ spl29_167 ),
inference(avatar_split_clause,[],[f1789,f1745,f1441,f3914]) ).
tff(f3914,plain,
( spl29_367
<=> ! [X2,X0,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Ebool_2E_5C_2F,X2))
| ~ p(X2)
| ~ mem(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_367])]) ).
tff(f1789,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Ebool_2E_5C_2F,X2))
| ~ p(X2)
| ~ mem(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_147
| ~ spl29_167 ),
inference(resolution,[],[f1746,f1442]) ).
tff(f3912,plain,
( spl29_366
| ~ spl29_149
| ~ spl29_167 ),
inference(avatar_split_clause,[],[f1787,f1745,f1449,f3910]) ).
tff(f3910,plain,
( spl29_366
<=> ! [X2,X0,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Emin_2E_3D_3D_3E,X2))
| p(X2)
| ~ mem(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_366])]) ).
tff(f1787,plain,
( ! [X2: $i,X0: $i,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,ap(c_2Emin_2E_3D_3D_3E,X2))
| p(X2)
| ~ mem(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_149
| ~ spl29_167 ),
inference(resolution,[],[f1746,f1450]) ).
tff(f3908,plain,
( spl29_365
| spl29_17
| ~ spl29_194 ),
inference(avatar_split_clause,[],[f3876,f2009,f651,f3905]) ).
tff(f3905,plain,
( spl29_365
<=> sP2(fo__c_2Einteger_2Eint__divides(sK18,sK20),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_365])]) ).
tff(f2009,plain,
( spl29_194
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP2(X0,fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_194])]) ).
tff(f3876,plain,
( sP2(fo__c_2Einteger_2Eint__divides(sK18,sK20),fo__c_2Ebool_2ET)
| spl29_17
| ~ spl29_194 ),
inference(resolution,[],[f652,f2010]) ).
tff(f2010,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP2(X0,fo__c_2Ebool_2ET) )
| ~ spl29_194 ),
inference(avatar_component_clause,[],[f2009]) ).
tff(f3895,plain,
( spl29_364
| ~ spl29_18
| ~ spl29_76 ),
inference(avatar_split_clause,[],[f1150,f908,f656,f3893]) ).
tff(f3893,plain,
( spl29_364
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_364])]) ).
tff(f908,plain,
( spl29_76
<=> ! [X0: tp__o,X1: tp__o] :
( sP3(X0,X1)
| p(inj__o(X1))
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_76])]) ).
tff(f1150,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)),X0) )
| ~ spl29_18
| ~ spl29_76 ),
inference(resolution,[],[f657,f909]) ).
tff(f909,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| sP3(X0,X1) )
| ~ spl29_76 ),
inference(avatar_component_clause,[],[f908]) ).
tff(f3891,plain,
( spl29_363
| ~ spl29_18
| ~ spl29_77 ),
inference(avatar_split_clause,[],[f1149,f912,f656,f3889]) ).
tff(f3889,plain,
( spl29_363
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(X0,fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_363])]) ).
tff(f912,plain,
( spl29_77
<=> ! [X0: tp__o,X1: tp__o] :
( sP3(X0,X1)
| p(inj__o(X0))
| ~ p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_77])]) ).
tff(f1149,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(X0,fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))) )
| ~ spl29_18
| ~ spl29_77 ),
inference(resolution,[],[f657,f913]) ).
tff(f913,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X0))
| sP3(X0,X1) )
| ~ spl29_77 ),
inference(avatar_component_clause,[],[f912]) ).
tff(f3887,plain,
( spl29_362
| ~ spl29_18
| ~ spl29_78 ),
inference(avatar_split_clause,[],[f1148,f916,f656,f3885]) ).
tff(f3885,plain,
( spl29_362
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP2(X0,fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_362])]) ).
tff(f916,plain,
( spl29_78
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| sP2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_78])]) ).
tff(f1148,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP2(X0,fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))) )
| ~ spl29_18
| ~ spl29_78 ),
inference(resolution,[],[f657,f917]) ).
tff(f917,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| sP2(X1,X0) )
| ~ spl29_78 ),
inference(avatar_component_clause,[],[f916]) ).
tff(f3875,plain,
( ~ spl29_4
| ~ spl29_8
| spl29_16
| ~ spl29_119
| ~ spl29_337 ),
inference(avatar_split_clause,[],[f3867,f3523,f1194,f643,f604,f584]) ).
tff(f584,plain,
( spl29_4
<=> p(c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).
tff(f604,plain,
( spl29_8
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).
tff(f643,plain,
( spl29_16
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_16])]) ).
tff(f1194,plain,
( spl29_119
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) = inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_119])]) ).
tff(f3523,plain,
( spl29_337
<=> ( fo__c_2Ebool_2ET = fo__c_2Einteger_2Eint__divides(sK18,sK20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_337])]) ).
tff(f3867,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl29_8
| spl29_16
| ~ spl29_119
| ~ spl29_337 ),
inference(forward_demodulation,[],[f3866,f606]) ).
tff(f606,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET) )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f604]) ).
tff(f3866,plain,
( ~ p(inj__o(fo__c_2Ebool_2ET))
| spl29_16
| ~ spl29_119
| ~ spl29_337 ),
inference(forward_demodulation,[],[f3861,f3525]) ).
tff(f3525,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Einteger_2Eint__divides(sK18,sK20) )
| ~ spl29_337 ),
inference(avatar_component_clause,[],[f3523]) ).
tff(f3861,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)))
| spl29_16
| ~ spl29_119 ),
inference(forward_demodulation,[],[f644,f1195]) ).
tff(f1195,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) = inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)) )
| ~ spl29_119 ),
inference(avatar_component_clause,[],[f1194]) ).
tff(f644,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20)))
| spl29_16 ),
inference(avatar_component_clause,[],[f643]) ).
tff(f3865,plain,
( ~ spl29_4
| spl29_17
| ~ spl29_324 ),
inference(avatar_split_clause,[],[f3859,f3324,f651,f584]) ).
tff(f3324,plain,
( spl29_324
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_324])]) ).
tff(f3859,plain,
( ~ p(c_2Ebool_2ET)
| spl29_17
| ~ spl29_324 ),
inference(forward_demodulation,[],[f652,f3326]) ).
tff(f3326,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)) )
| ~ spl29_324 ),
inference(avatar_component_clause,[],[f3324]) ).
tff(f3855,plain,
( ~ spl29_4
| ~ spl29_111
| ~ spl29_289
| spl29_351 ),
inference(avatar_split_clause,[],[f3790,f3714,f2828,f1134,f584]) ).
tff(f1134,plain,
( spl29_111
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_111])]) ).
tff(f2828,plain,
( spl29_289
<=> ( c_2Ebool_2ET = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_289])]) ).
tff(f3790,plain,
( ~ p(c_2Ebool_2ET)
| ~ spl29_111
| ~ spl29_289
| spl29_351 ),
inference(forward_demodulation,[],[f3786,f2830]) ).
tff(f2830,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)) )
| ~ spl29_289 ),
inference(avatar_component_clause,[],[f2828]) ).
tff(f3786,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)))
| ~ spl29_111
| spl29_351 ),
inference(resolution,[],[f3716,f1135]) ).
tff(f1135,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) )
| ~ spl29_111 ),
inference(avatar_component_clause,[],[f1134]) ).
tff(f3716,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__neg(sK19))))
| spl29_351 ),
inference(avatar_component_clause,[],[f3714]) ).
tff(f3854,plain,
( spl29_361
| ~ spl29_120
| ~ spl29_151 ),
inference(avatar_split_clause,[],[f1482,f1457,f1219,f3852]) ).
tff(f3852,plain,
( spl29_361
<=> ! [X2,X0,X1] :
( sP0(X0,bool,X1)
| ~ sP1(X1,bool,X0)
| p(sK25(X1,bool,X0))
| p(X2)
| ( sK25(X1,bool,X0) = X2 )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_361])]) ).
tff(f1219,plain,
( spl29_120
<=> ! [X0,X1] :
( ( X0 = X1 )
| p(X1)
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_120])]) ).
tff(f1482,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( sP0(X0,bool,X1)
| ~ sP1(X1,bool,X0)
| p(sK25(X1,bool,X0))
| p(X2)
| ( sK25(X1,bool,X0) = X2 )
| ~ mem(X2,bool) )
| ~ spl29_120
| ~ spl29_151 ),
inference(resolution,[],[f1458,f1220]) ).
tff(f1220,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X1,bool)
| p(X1)
| p(X0)
| ( X0 = X1 )
| ~ mem(X0,bool) )
| ~ spl29_120 ),
inference(avatar_component_clause,[],[f1219]) ).
tff(f3850,plain,
( spl29_360
| ~ spl29_121
| ~ spl29_151 ),
inference(avatar_split_clause,[],[f1481,f1457,f1223,f3848]) ).
tff(f3848,plain,
( spl29_360
<=> ! [X2,X0,X1] :
( sP0(X0,bool,X1)
| ~ sP1(X1,bool,X0)
| ~ p(sK25(X1,bool,X0))
| ~ p(X2)
| ( sK25(X1,bool,X0) = X2 )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_360])]) ).
tff(f1223,plain,
( spl29_121
<=> ! [X0,X1] :
( ( X0 = X1 )
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_121])]) ).
tff(f1481,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( sP0(X0,bool,X1)
| ~ sP1(X1,bool,X0)
| ~ p(sK25(X1,bool,X0))
| ~ p(X2)
| ( sK25(X1,bool,X0) = X2 )
| ~ mem(X2,bool) )
| ~ spl29_121
| ~ spl29_151 ),
inference(resolution,[],[f1458,f1224]) ).
tff(f1224,plain,
( ! [X0: $i,X1: $i] :
( ~ mem(X1,bool)
| ~ p(X1)
| ~ p(X0)
| ( X0 = X1 )
| ~ mem(X0,bool) )
| ~ spl29_121 ),
inference(avatar_component_clause,[],[f1223]) ).
tff(f3785,plain,
( spl29_359
| ~ spl29_149
| ~ spl29_160 ),
inference(avatar_split_clause,[],[f1719,f1698,f1449,f3783]) ).
tff(f3783,plain,
( spl29_359
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Emin_2E_3D_3D_3E,X0),X1,X2)
| mem(sK27(X1,X2),X1)
| p(X0)
| ~ mem(sK26(ap(c_2Emin_2E_3D_3D_3E,X0),X1),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_359])]) ).
tff(f1719,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Emin_2E_3D_3D_3E,X0),X1,X2)
| mem(sK27(X1,X2),X1)
| p(X0)
| ~ mem(sK26(ap(c_2Emin_2E_3D_3D_3E,X0),X1),bool)
| ~ mem(X0,bool) )
| ~ spl29_149
| ~ spl29_160 ),
inference(resolution,[],[f1699,f1450]) ).
tff(f3781,plain,
( spl29_358
| ~ spl29_147
| ~ spl29_160 ),
inference(avatar_split_clause,[],[f1717,f1698,f1441,f3779]) ).
tff(f3779,plain,
( spl29_358
<=> ! [X2,X0,X1: del] :
( sP0(ap(c_2Ebool_2E_5C_2F,X0),X1,X2)
| mem(sK27(X1,X2),X1)
| ~ p(X0)
| ~ mem(sK26(ap(c_2Ebool_2E_5C_2F,X0),X1),bool)
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_358])]) ).
tff(f1717,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(ap(c_2Ebool_2E_5C_2F,X0),X1,X2)
| mem(sK27(X1,X2),X1)
| ~ p(X0)
| ~ mem(sK26(ap(c_2Ebool_2E_5C_2F,X0),X1),bool)
| ~ mem(X0,bool) )
| ~ spl29_147
| ~ spl29_160 ),
inference(resolution,[],[f1699,f1442]) ).
tff(f3777,plain,
( spl29_357
| ~ spl29_149
| ~ spl29_159 ),
inference(avatar_split_clause,[],[f1714,f1694,f1449,f3775]) ).
tff(f3775,plain,
( spl29_357
<=> ! [X2,X0,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,ap(c_2Emin_2E_3D_3D_3E,X2))
| p(X2)
| ~ mem(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_357])]) ).
tff(f1714,plain,
( ! [X2: $i,X0: $i,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,ap(c_2Emin_2E_3D_3D_3E,X2))
| p(X2)
| ~ mem(sK27(X1,ap(c_2Emin_2E_3D_3D_3E,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_149
| ~ spl29_159 ),
inference(resolution,[],[f1695,f1450]) ).
tff(f3773,plain,
( spl29_356
| ~ spl29_147
| ~ spl29_159 ),
inference(avatar_split_clause,[],[f1712,f1694,f1441,f3771]) ).
tff(f3771,plain,
( spl29_356
<=> ! [X2,X0,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,ap(c_2Ebool_2E_5C_2F,X2))
| ~ p(X2)
| ~ mem(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)),bool)
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_356])]) ).
tff(f1712,plain,
( ! [X2: $i,X0: $i,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,ap(c_2Ebool_2E_5C_2F,X2))
| ~ p(X2)
| ~ mem(sK27(X1,ap(c_2Ebool_2E_5C_2F,X2)),bool)
| ~ mem(X2,bool) )
| ~ spl29_147
| ~ spl29_159 ),
inference(resolution,[],[f1695,f1442]) ).
tff(f3769,plain,
( spl29_355
| ~ spl29_120
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1663,f1462,f1219,f3767]) ).
tff(f3767,plain,
( spl29_355
<=> ! [X2,X0,X1] :
( sP0(X1,bool,X0)
| mem(sK26(X1,bool),bool)
| p(sK27(bool,X0))
| p(X2)
| ( sK27(bool,X0) = X2 )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_355])]) ).
tff(f1663,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( sP0(X1,bool,X0)
| mem(sK26(X1,bool),bool)
| p(sK27(bool,X0))
| p(X2)
| ( sK27(bool,X0) = X2 )
| ~ mem(X2,bool) )
| ~ spl29_120
| ~ spl29_152 ),
inference(resolution,[],[f1463,f1220]) ).
tff(f3765,plain,
( spl29_354
| ~ spl29_121
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1662,f1462,f1223,f3763]) ).
tff(f3763,plain,
( spl29_354
<=> ! [X2,X0,X1] :
( sP0(X1,bool,X0)
| mem(sK26(X1,bool),bool)
| ~ p(sK27(bool,X0))
| ~ p(X2)
| ( sK27(bool,X0) = X2 )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_354])]) ).
tff(f1662,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( sP0(X1,bool,X0)
| mem(sK26(X1,bool),bool)
| ~ p(sK27(bool,X0))
| ~ p(X2)
| ( sK27(bool,X0) = X2 )
| ~ mem(X2,bool) )
| ~ spl29_121
| ~ spl29_152 ),
inference(resolution,[],[f1463,f1224]) ).
tff(f3761,plain,
( spl29_353
| ~ spl29_120
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1656,f1462,f1219,f3759]) ).
tff(f3759,plain,
( spl29_353
<=> ! [X2,X0,X1] :
( sP0(X0,bool,X1)
| mem(sK27(bool,X1),bool)
| p(sK26(X0,bool))
| p(X2)
| ( sK26(X0,bool) = X2 )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_353])]) ).
tff(f1656,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( sP0(X0,bool,X1)
| mem(sK27(bool,X1),bool)
| p(sK26(X0,bool))
| p(X2)
| ( sK26(X0,bool) = X2 )
| ~ mem(X2,bool) )
| ~ spl29_120
| ~ spl29_152 ),
inference(resolution,[],[f1463,f1220]) ).
tff(f3757,plain,
( spl29_352
| ~ spl29_121
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1655,f1462,f1223,f3755]) ).
tff(f3755,plain,
( spl29_352
<=> ! [X2,X0,X1] :
( sP0(X0,bool,X1)
| mem(sK27(bool,X1),bool)
| ~ p(sK26(X0,bool))
| ~ p(X2)
| ( sK26(X0,bool) = X2 )
| ~ mem(X2,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_352])]) ).
tff(f1655,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( sP0(X0,bool,X1)
| mem(sK27(bool,X1),bool)
| ~ p(sK26(X0,bool))
| ~ p(X2)
| ( sK26(X0,bool) = X2 )
| ~ mem(X2,bool) )
| ~ spl29_121
| ~ spl29_152 ),
inference(resolution,[],[f1463,f1224]) ).
tff(f3717,plain,
( ~ spl29_351
| ~ spl29_17
| spl29_18
| ~ spl29_319 ),
inference(avatar_split_clause,[],[f3318,f3136,f656,f651,f3714]) ).
tff(f3136,plain,
( spl29_319
<=> ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__sub(X0,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,X0)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_319])]) ).
tff(f3318,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__neg(sK19))))
| spl29_18
| ~ spl29_319 ),
inference(resolution,[],[f3137,f658]) ).
tff(f658,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))))
| spl29_18 ),
inference(avatar_component_clause,[],[f656]) ).
tff(f3137,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__sub(X0,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,X0)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X1)))) )
| ~ spl29_319 ),
inference(avatar_component_clause,[],[f3136]) ).
tff(f3712,plain,
( spl29_350
| ~ spl29_49
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1900,f1875,f790,f3710]) ).
tff(f3710,plain,
( spl29_350
<=> ! [X0: del,X1] :
( mem(sK28(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),arr(X0,bool))
| ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_350])]) ).
tff(f790,plain,
( spl29_49
<=> ! [X0: del] : mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_49])]) ).
tff(f1900,plain,
( ! [X0: del,X1: $i] :
( mem(sK28(arr(X0,bool),X1,c_2Ebool_2E_21(X0)),arr(X0,bool))
| ( c_2Ebool_2E_21(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) )
| ~ spl29_49
| ~ spl29_178 ),
inference(resolution,[],[f1876,f791]) ).
tff(f791,plain,
( ! [X0: del] : mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool))
| ~ spl29_49 ),
inference(avatar_component_clause,[],[f790]) ).
tff(f3708,plain,
( spl29_349
| ~ spl29_50
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1890,f1875,f794,f3706]) ).
tff(f3706,plain,
( spl29_349
<=> ! [X0: del,X1] :
( mem(sK28(arr(X0,bool),X1,c_2Ebool_2E_3F(X0)),arr(X0,bool))
| ( c_2Ebool_2E_3F(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_349])]) ).
tff(f794,plain,
( spl29_50
<=> ! [X0: del] : mem(c_2Ebool_2E_3F(X0),arr(arr(X0,bool),bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_50])]) ).
tff(f1890,plain,
( ! [X0: del,X1: $i] :
( mem(sK28(arr(X0,bool),X1,c_2Ebool_2E_3F(X0)),arr(X0,bool))
| ( c_2Ebool_2E_3F(X0) = X1 )
| ~ mem(X1,arr(arr(X0,bool),bool)) )
| ~ spl29_50
| ~ spl29_178 ),
inference(resolution,[],[f1876,f795]) ).
tff(f795,plain,
( ! [X0: del] : mem(c_2Ebool_2E_3F(X0),arr(arr(X0,bool),bool))
| ~ spl29_50 ),
inference(avatar_component_clause,[],[f794]) ).
tff(f3702,plain,
( spl29_348
| ~ spl29_72
| ~ spl29_176 ),
inference(avatar_split_clause,[],[f1868,f1854,f892,f3700]) ).
tff(f3700,plain,
( spl29_348
<=> ! [X0,X1: del] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,X1)
| ~ mem(c_2Ebool_2E_7E,arr(X1,bool))
| p(sK23(X1,c_2Ebool_2E_7E))
| ~ mem(sK23(X1,c_2Ebool_2E_7E),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_348])]) ).
tff(f1868,plain,
( ! [X0: $i,X1: del] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,X1)
| ~ mem(c_2Ebool_2E_7E,arr(X1,bool))
| p(sK23(X1,c_2Ebool_2E_7E))
| ~ mem(sK23(X1,c_2Ebool_2E_7E),bool) )
| ~ spl29_72
| ~ spl29_176 ),
inference(resolution,[],[f1855,f893]) ).
tff(f3698,plain,
( spl29_347
| ~ spl29_72
| ~ spl29_175 ),
inference(avatar_split_clause,[],[f1862,f1850,f892,f3696]) ).
tff(f3696,plain,
( spl29_347
<=> ! [X0,X1: del] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,X1)
| ~ mem(c_2Ebool_2E_7E,arr(X1,bool))
| p(sK24(X1,c_2Ebool_2E_7E))
| ~ mem(sK24(X1,c_2Ebool_2E_7E),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_347])]) ).
tff(f1862,plain,
( ! [X0: $i,X1: del] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,X1)
| ~ mem(c_2Ebool_2E_7E,arr(X1,bool))
| p(sK24(X1,c_2Ebool_2E_7E))
| ~ mem(sK24(X1,c_2Ebool_2E_7E),bool) )
| ~ spl29_72
| ~ spl29_175 ),
inference(resolution,[],[f1851,f893]) ).
tff(f3665,plain,
( spl29_346
| ~ spl29_10
| ~ spl29_279 ),
inference(avatar_split_clause,[],[f3213,f2732,f613,f3663]) ).
tff(f3663,plain,
( spl29_346
<=> ! [X0: tp__o] :
( ( inj__o(X0) = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)) )
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_346])]) ).
tff(f613,plain,
( spl29_10
<=> ! [X0: tp__o] : mem(inj__o(X0),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_10])]) ).
tff(f2732,plain,
( spl29_279
<=> ! [X0] :
( ~ p(X0)
| ( inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_279])]) ).
tff(f3213,plain,
( ! [X0: tp__o] :
( ( inj__o(X0) = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)) )
| ~ p(inj__o(X0)) )
| ~ spl29_10
| ~ spl29_279 ),
inference(resolution,[],[f2733,f614]) ).
tff(f614,plain,
( ! [X0: tp__o] : mem(inj__o(X0),bool)
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f613]) ).
tff(f2733,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)) = X0 )
| ~ p(X0) )
| ~ spl29_279 ),
inference(avatar_component_clause,[],[f2732]) ).
tff(f3609,plain,
( spl29_345
| ~ spl29_76
| ~ spl29_173 ),
inference(avatar_split_clause,[],[f1843,f1814,f908,f3607]) ).
tff(f3607,plain,
( spl29_345
<=> ! [X0: tp__ty_2Einteger_2Eint,X3: tp__o,X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(X3))
| sP3(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_345])]) ).
tff(f1814,plain,
( spl29_173
<=> ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_173])]) ).
tff(f1843,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X3: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(X3))
| sP3(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2)),X3) )
| ~ spl29_76
| ~ spl29_173 ),
inference(resolution,[],[f1815,f909]) ).
tff(f1815,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) )
| ~ spl29_173 ),
inference(avatar_component_clause,[],[f1814]) ).
tff(f3605,plain,
( spl29_344
| ~ spl29_77
| ~ spl29_173 ),
inference(avatar_split_clause,[],[f1842,f1814,f912,f3603]) ).
tff(f3603,plain,
( spl29_344
<=> ! [X0: tp__ty_2Einteger_2Eint,X3: tp__o,X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(X3))
| sP3(X3,fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_344])]) ).
tff(f1842,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X3: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(X3))
| sP3(X3,fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2))) )
| ~ spl29_77
| ~ spl29_173 ),
inference(resolution,[],[f1815,f913]) ).
tff(f3601,plain,
( spl29_343
| ~ spl29_78
| ~ spl29_173 ),
inference(avatar_split_clause,[],[f1841,f1814,f916,f3599]) ).
tff(f3599,plain,
( spl29_343
<=> ! [X0: tp__ty_2Einteger_2Eint,X3: tp__o,X2: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(X3))
| sP2(X3,fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_343])]) ).
tff(f1841,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X3: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(X3))
| sP2(X3,fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2))) )
| ~ spl29_78
| ~ spl29_173 ),
inference(resolution,[],[f1815,f917]) ).
tff(f3597,plain,
( spl29_342
| ~ spl29_49
| ~ spl29_172 ),
inference(avatar_split_clause,[],[f1836,f1804,f790,f3595]) ).
tff(f3595,plain,
( spl29_342
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool))
| mem(sK23(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_342])]) ).
tff(f1836,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool))
| mem(sK23(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool)) )
| ~ spl29_49
| ~ spl29_172 ),
inference(resolution,[],[f1805,f791]) ).
tff(f3593,plain,
( spl29_341
| ~ spl29_50
| ~ spl29_172 ),
inference(avatar_split_clause,[],[f1834,f1804,f794,f3591]) ).
tff(f3591,plain,
( spl29_341
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool))
| mem(sK23(arr(X0,bool),c_2Ebool_2E_3F(X0)),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_341])]) ).
tff(f1834,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool))
| mem(sK23(arr(X0,bool),c_2Ebool_2E_3F(X0)),arr(X0,bool)) )
| ~ spl29_50
| ~ spl29_172 ),
inference(resolution,[],[f1805,f795]) ).
tff(f3589,plain,
( spl29_340
| ~ spl29_49
| ~ spl29_171 ),
inference(avatar_split_clause,[],[f1830,f1800,f790,f3587]) ).
tff(f3587,plain,
( spl29_340
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool))
| mem(sK24(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_340])]) ).
tff(f1830,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool))
| mem(sK24(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool)) )
| ~ spl29_49
| ~ spl29_171 ),
inference(resolution,[],[f1801,f791]) ).
tff(f3579,plain,
( spl29_339
| ~ spl29_50
| ~ spl29_171 ),
inference(avatar_split_clause,[],[f1828,f1800,f794,f3577]) ).
tff(f3577,plain,
( spl29_339
<=> ! [X0: del,X1] :
( p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool))
| mem(sK24(arr(X0,bool),c_2Ebool_2E_3F(X0)),arr(X0,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_339])]) ).
tff(f1828,plain,
( ! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool))
| mem(sK24(arr(X0,bool),c_2Ebool_2E_3F(X0)),arr(X0,bool)) )
| ~ spl29_50
| ~ spl29_171 ),
inference(resolution,[],[f1801,f795]) ).
tff(f3575,plain,
( spl29_338
| ~ spl29_73
| ~ spl29_151 ),
inference(avatar_split_clause,[],[f1480,f1457,f896,f3573]) ).
tff(f3573,plain,
( spl29_338
<=> ! [X2,X0,X1: del] :
( sP0(X0,X1,X2)
| ~ sP1(X2,X1,X0)
| ( sK25(X2,X1,X0) = ap(i(X1),sK25(X2,X1,X0)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_338])]) ).
tff(f896,plain,
( spl29_73
<=> ! [X0: del,X1] :
( ( ap(i(X0),X1) = X1 )
| ~ mem(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_73])]) ).
tff(f1480,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| ~ sP1(X2,X1,X0)
| ( sK25(X2,X1,X0) = ap(i(X1),sK25(X2,X1,X0)) ) )
| ~ spl29_73
| ~ spl29_151 ),
inference(resolution,[],[f1458,f897]) ).
tff(f897,plain,
( ! [X0: del,X1: $i] :
( ~ mem(X1,X0)
| ( ap(i(X0),X1) = X1 ) )
| ~ spl29_73 ),
inference(avatar_component_clause,[],[f896]) ).
tff(f3526,plain,
( spl29_337
| ~ spl29_13
| ~ spl29_29
| ~ spl29_324 ),
inference(avatar_split_clause,[],[f3407,f3324,f709,f629,f3523]) ).
tff(f629,plain,
( spl29_13
<=> ! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_13])]) ).
tff(f709,plain,
( spl29_29
<=> ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_29])]) ).
tff(f3407,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Einteger_2Eint__divides(sK18,sK20) )
| ~ spl29_13
| ~ spl29_29
| ~ spl29_324 ),
inference(forward_demodulation,[],[f3378,f711]) ).
tff(f711,plain,
( ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) )
| ~ spl29_29 ),
inference(avatar_component_clause,[],[f709]) ).
tff(f3378,plain,
( ( surj__o(c_2Ebool_2ET) = fo__c_2Einteger_2Eint__divides(sK18,sK20) )
| ~ spl29_13
| ~ spl29_324 ),
inference(superposition,[],[f630,f3326]) ).
tff(f630,plain,
( ! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 )
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f629]) ).
tff(f3450,plain,
( spl29_336
| ~ spl29_109
| ~ spl29_174 ),
inference(avatar_split_clause,[],[f1845,f1818,f1126,f3448]) ).
tff(f3448,plain,
( spl29_336
<=> ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X2)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_336])]) ).
tff(f1126,plain,
( spl29_109
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_109])]) ).
tff(f1818,plain,
( spl29_174
<=> ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_174])]) ).
tff(f1845,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X2)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1)))) )
| ~ spl29_109
| ~ spl29_174 ),
inference(resolution,[],[f1819,f1127]) ).
tff(f1127,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) )
| ~ spl29_109 ),
inference(avatar_component_clause,[],[f1126]) ).
tff(f1819,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2))) )
| ~ spl29_174 ),
inference(avatar_component_clause,[],[f1818]) ).
tff(f3446,plain,
( spl29_335
| ~ spl29_110
| ~ spl29_173 ),
inference(avatar_split_clause,[],[f1840,f1814,f1130,f3444]) ).
tff(f3444,plain,
( spl29_335
<=> ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X2)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_335])]) ).
tff(f1130,plain,
( spl29_110
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_110])]) ).
tff(f1840,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X2)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X1,X2)))) )
| ~ spl29_110
| ~ spl29_173 ),
inference(resolution,[],[f1815,f1131]) ).
tff(f1131,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) )
| ~ spl29_110 ),
inference(avatar_component_clause,[],[f1130]) ).
tff(f3442,plain,
( spl29_334
| ~ spl29_72
| ~ spl29_167 ),
inference(avatar_split_clause,[],[f1785,f1745,f892,f3440]) ).
tff(f3440,plain,
( spl29_334
<=> ! [X0,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,c_2Ebool_2E_7E)
| p(sK27(X1,c_2Ebool_2E_7E))
| ~ mem(sK27(X1,c_2Ebool_2E_7E),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_334])]) ).
tff(f1785,plain,
( ! [X0: $i,X1: del] :
( ~ p(ap(X0,sK26(X0,X1)))
| sP0(X0,X1,c_2Ebool_2E_7E)
| p(sK27(X1,c_2Ebool_2E_7E))
| ~ mem(sK27(X1,c_2Ebool_2E_7E),bool) )
| ~ spl29_72
| ~ spl29_167 ),
inference(resolution,[],[f1746,f893]) ).
tff(f3438,plain,
( spl29_333
| ~ spl29_71
| ~ spl29_166 ),
inference(avatar_split_clause,[],[f1784,f1741,f888,f3436]) ).
tff(f3436,plain,
( spl29_333
<=> ! [X0: del] :
( ~ p(ap(c_2Ebool_2E_3F(X0),c_2Ebool_2E_7E))
| ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
| ~ p(sK22(X0,c_2Ebool_2E_7E))
| ~ mem(sK22(X0,c_2Ebool_2E_7E),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_333])]) ).
tff(f888,plain,
( spl29_71
<=> ! [X0] :
( ~ p(X0)
| ~ p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_71])]) ).
tff(f1784,plain,
( ! [X0: del] :
( ~ p(ap(c_2Ebool_2E_3F(X0),c_2Ebool_2E_7E))
| ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
| ~ p(sK22(X0,c_2Ebool_2E_7E))
| ~ mem(sK22(X0,c_2Ebool_2E_7E),bool) )
| ~ spl29_71
| ~ spl29_166 ),
inference(resolution,[],[f1742,f889]) ).
tff(f889,plain,
( ! [X0: $i] :
( ~ p(ap(c_2Ebool_2E_7E,X0))
| ~ p(X0)
| ~ mem(X0,bool) )
| ~ spl29_71 ),
inference(avatar_component_clause,[],[f888]) ).
tff(f3434,plain,
( spl29_332
| ~ spl29_72
| ~ spl29_165 ),
inference(avatar_split_clause,[],[f1772,f1737,f892,f3432]) ).
tff(f3432,plain,
( spl29_332
<=> ! [X0: del] :
( p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_7E))
| ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
| p(sK21(X0,c_2Ebool_2E_7E))
| ~ mem(sK21(X0,c_2Ebool_2E_7E),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_332])]) ).
tff(f1772,plain,
( ! [X0: del] :
( p(ap(c_2Ebool_2E_21(X0),c_2Ebool_2E_7E))
| ~ mem(c_2Ebool_2E_7E,arr(X0,bool))
| p(sK21(X0,c_2Ebool_2E_7E))
| ~ mem(sK21(X0,c_2Ebool_2E_7E),bool) )
| ~ spl29_72
| ~ spl29_165 ),
inference(resolution,[],[f1738,f893]) ).
tff(f3430,plain,
( spl29_331
| ~ spl29_117
| ~ spl29_163 ),
inference(avatar_split_clause,[],[f1767,f1729,f1186,f3428]) ).
tff(f3428,plain,
( spl29_331
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_331])]) ).
tff(f1186,plain,
( spl29_117
<=> ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_117])]) ).
tff(f1767,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_117
| ~ spl29_163 ),
inference(superposition,[],[f1730,f1187]) ).
tff(f1187,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) )
| ~ spl29_117 ),
inference(avatar_component_clause,[],[f1186]) ).
tff(f3375,plain,
( spl29_330
| ~ spl29_116
| ~ spl29_162 ),
inference(avatar_split_clause,[],[f1762,f1725,f1182,f3373]) ).
tff(f3373,plain,
( spl29_330
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_330])]) ).
tff(f1182,plain,
( spl29_116
<=> ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_116])]) ).
tff(f1762,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_116
| ~ spl29_162 ),
inference(superposition,[],[f1726,f1183]) ).
tff(f1183,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),inj__o(X1)) )
| ~ spl29_116 ),
inference(avatar_component_clause,[],[f1182]) ).
tff(f3371,plain,
( spl29_329
| ~ spl29_118
| ~ spl29_161 ),
inference(avatar_split_clause,[],[f1752,f1721,f1190,f3369]) ).
tff(f3369,plain,
( spl29_329
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_329])]) ).
tff(f1190,plain,
( spl29_118
<=> ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_118])]) ).
tff(f1752,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_118
| ~ spl29_161 ),
inference(superposition,[],[f1722,f1191]) ).
tff(f1191,plain,
( ! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) )
| ~ spl29_118 ),
inference(avatar_component_clause,[],[f1190]) ).
tff(f3367,plain,
( spl29_328
| ~ spl29_73
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1661,f1462,f896,f3365]) ).
tff(f3365,plain,
( spl29_328
<=> ! [X2,X0: del,X1] :
( sP0(X2,X0,X1)
| mem(sK26(X2,X0),X0)
| ( sK27(X0,X1) = ap(i(X0),sK27(X0,X1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_328])]) ).
tff(f1661,plain,
( ! [X2: $i,X0: del,X1: $i] :
( sP0(X2,X0,X1)
| mem(sK26(X2,X0),X0)
| ( sK27(X0,X1) = ap(i(X0),sK27(X0,X1)) ) )
| ~ spl29_73
| ~ spl29_152 ),
inference(resolution,[],[f1463,f897]) ).
tff(f3363,plain,
( spl29_327
| ~ spl29_73
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1654,f1462,f896,f3361]) ).
tff(f3361,plain,
( spl29_327
<=> ! [X2,X0,X1: del] :
( sP0(X0,X1,X2)
| mem(sK27(X1,X2),X1)
| ( sK26(X0,X1) = ap(i(X1),sK26(X0,X1)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_327])]) ).
tff(f1654,plain,
( ! [X2: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| mem(sK27(X1,X2),X1)
| ( sK26(X0,X1) = ap(i(X1),sK26(X0,X1)) ) )
| ~ spl29_73
| ~ spl29_152 ),
inference(resolution,[],[f1463,f897]) ).
tff(f3359,plain,
( spl29_326
| ~ spl29_52
| ~ spl29_151 ),
inference(avatar_split_clause,[],[f1485,f1457,f802,f3357]) ).
tff(f3357,plain,
( spl29_326
<=> ! [X0,X1] :
( sP0(X0,ty_2Einteger_2Eint,X1)
| ~ sP1(X1,ty_2Einteger_2Eint,X0)
| ( sK25(X1,ty_2Einteger_2Eint,X0) = inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK25(X1,ty_2Einteger_2Eint,X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_326])]) ).
tff(f802,plain,
( spl29_52
<=> ! [X0] :
( ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X0)) = X0 )
| ~ mem(X0,ty_2Einteger_2Eint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_52])]) ).
tff(f1485,plain,
( ! [X0: $i,X1: $i] :
( sP0(X0,ty_2Einteger_2Eint,X1)
| ~ sP1(X1,ty_2Einteger_2Eint,X0)
| ( sK25(X1,ty_2Einteger_2Eint,X0) = inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK25(X1,ty_2Einteger_2Eint,X0))) ) )
| ~ spl29_52
| ~ spl29_151 ),
inference(resolution,[],[f1458,f803]) ).
tff(f803,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Einteger_2Eint)
| ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X0)) = X0 ) )
| ~ spl29_52 ),
inference(avatar_component_clause,[],[f802]) ).
tff(f3355,plain,
( spl29_325
| ~ spl29_53
| ~ spl29_151 ),
inference(avatar_split_clause,[],[f1483,f1457,f806,f3353]) ).
tff(f3353,plain,
( spl29_325
<=> ! [X0,X1] :
( sP0(X0,bool,X1)
| ~ sP1(X1,bool,X0)
| ( sK25(X1,bool,X0) = inj__o(surj__o(sK25(X1,bool,X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_325])]) ).
tff(f806,plain,
( spl29_53
<=> ! [X0] :
( ( inj__o(surj__o(X0)) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_53])]) ).
tff(f1483,plain,
( ! [X0: $i,X1: $i] :
( sP0(X0,bool,X1)
| ~ sP1(X1,bool,X0)
| ( sK25(X1,bool,X0) = inj__o(surj__o(sK25(X1,bool,X0))) ) )
| ~ spl29_53
| ~ spl29_151 ),
inference(resolution,[],[f1458,f807]) ).
tff(f807,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( inj__o(surj__o(X0)) = X0 ) )
| ~ spl29_53 ),
inference(avatar_component_clause,[],[f806]) ).
tff(f3327,plain,
( ~ spl29_4
| spl29_324
| ~ spl29_5
| ~ spl29_279 ),
inference(avatar_split_clause,[],[f3214,f2732,f589,f3324,f584]) ).
tff(f589,plain,
( spl29_5
<=> mem(c_2Ebool_2ET,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
tff(f3214,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)) )
| ~ p(c_2Ebool_2ET)
| ~ spl29_5
| ~ spl29_279 ),
inference(resolution,[],[f2733,f591]) ).
tff(f591,plain,
( mem(c_2Ebool_2ET,bool)
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f589]) ).
tff(f3154,plain,
( spl29_323
| ~ spl29_39
| ~ spl29_180 ),
inference(avatar_split_clause,[],[f1908,f1883,f750,f3152]) ).
tff(f3152,plain,
( spl29_323
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP17(X1,X0,X2)
| ~ sP14(X0,X2,X1)
| ~ sP13(X2,X0,X1)
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_323])]) ).
tff(f750,plain,
( spl29_39
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_39])]) ).
tff(f1883,plain,
( spl29_180
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP17(X0,X1,X2)
| p(inj__o(X1))
| ~ sP15(X0,X2,X1)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_180])]) ).
tff(f1908,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP17(X1,X0,X2)
| ~ sP14(X0,X2,X1)
| ~ sP13(X2,X0,X1)
| p(inj__o(X2)) )
| ~ spl29_39
| ~ spl29_180 ),
inference(resolution,[],[f1884,f751]) ).
tff(f751,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X1)) )
| ~ spl29_39 ),
inference(avatar_component_clause,[],[f750]) ).
tff(f1884,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP15(X0,X2,X1)
| p(inj__o(X1))
| sP17(X0,X1,X2)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) )
| ~ spl29_180 ),
inference(avatar_component_clause,[],[f1883]) ).
tff(f3150,plain,
( spl29_322
| ~ spl29_38
| ~ spl29_179 ),
inference(avatar_split_clause,[],[f1906,f1879,f746,f3148]) ).
tff(f3148,plain,
( spl29_322
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| sP17(X1,X2,X0)
| ~ sP14(X2,X0,X1)
| ~ sP13(X0,X2,X1)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_322])]) ).
tff(f746,plain,
( spl29_38
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_38])]) ).
tff(f1879,plain,
( spl29_179
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP17(X0,X1,X2)
| ~ p(inj__o(X2))
| ~ sP15(X0,X2,X1)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_179])]) ).
tff(f1906,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| sP17(X1,X2,X0)
| ~ sP14(X2,X0,X1)
| ~ sP13(X0,X2,X1)
| ~ p(inj__o(X2)) )
| ~ spl29_38
| ~ spl29_179 ),
inference(resolution,[],[f1880,f747]) ).
tff(f747,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| ~ p(inj__o(X2)) )
| ~ spl29_38 ),
inference(avatar_component_clause,[],[f746]) ).
tff(f1880,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP15(X0,X2,X1)
| ~ p(inj__o(X2))
| sP17(X0,X1,X2)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) )
| ~ spl29_179 ),
inference(avatar_component_clause,[],[f1879]) ).
tff(f3146,plain,
( spl29_321
| ~ spl29_51
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1899,f1875,f798,f3144]) ).
tff(f3144,plain,
( spl29_321
<=> ! [X0: del,X1] :
( mem(sK28(X0,X1,c_2Emin_2E_3D(X0)),X0)
| ( c_2Emin_2E_3D(X0) = X1 )
| ~ mem(X1,arr(X0,arr(X0,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_321])]) ).
tff(f798,plain,
( spl29_51
<=> ! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_51])]) ).
tff(f1899,plain,
( ! [X0: del,X1: $i] :
( mem(sK28(X0,X1,c_2Emin_2E_3D(X0)),X0)
| ( c_2Emin_2E_3D(X0) = X1 )
| ~ mem(X1,arr(X0,arr(X0,bool))) )
| ~ spl29_51
| ~ spl29_178 ),
inference(resolution,[],[f1876,f799]) ).
tff(f799,plain,
( ! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool)))
| ~ spl29_51 ),
inference(avatar_component_clause,[],[f798]) ).
tff(f3142,plain,
( spl29_320
| ~ spl29_68
| ~ spl29_174 ),
inference(avatar_split_clause,[],[f1847,f1818,f866,f3140]) ).
tff(f866,plain,
( spl29_68
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( fo__c_2Einteger_2Eint__sub(X0,X1) = fo__c_2Einteger_2Eint__add(X0,fo__c_2Einteger_2Eint__neg(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_68])]) ).
tff(f1847,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__sub(X0,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X2,X0))) )
| ~ spl29_68
| ~ spl29_174 ),
inference(superposition,[],[f1819,f867]) ).
tff(f867,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( fo__c_2Einteger_2Eint__sub(X0,X1) = fo__c_2Einteger_2Eint__add(X0,fo__c_2Einteger_2Eint__neg(X1)) )
| ~ spl29_68 ),
inference(avatar_component_clause,[],[f866]) ).
tff(f3138,plain,
( spl29_319
| ~ spl29_68
| ~ spl29_173 ),
inference(avatar_split_clause,[],[f1844,f1814,f866,f3136]) ).
tff(f1844,plain,
( ! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__sub(X0,X1))))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,X0)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X2,fo__c_2Einteger_2Eint__neg(X1)))) )
| ~ spl29_68
| ~ spl29_173 ),
inference(superposition,[],[f1815,f867]) ).
tff(f3134,plain,
( spl29_318
| ~ spl29_49
| ~ spl29_170 ),
inference(avatar_split_clause,[],[f1824,f1796,f790,f3132]) ).
tff(f3132,plain,
( spl29_318
<=> ! [X0: del,X1] :
( ~ p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool))
| p(ap(c_2Ebool_2E_3F(arr(X0,bool)),c_2Ebool_2E_21(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_318])]) ).
tff(f1824,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool))
| p(ap(c_2Ebool_2E_3F(arr(X0,bool)),c_2Ebool_2E_21(X0))) )
| ~ spl29_49
| ~ spl29_170 ),
inference(resolution,[],[f1797,f791]) ).
tff(f3129,plain,
( spl29_317
| ~ spl29_10
| ~ spl29_275 ),
inference(avatar_split_clause,[],[f2777,f2675,f613,f3127]) ).
tff(f3127,plain,
( spl29_317
<=> ! [X0: tp__o] :
( ( inj__o(X0) = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)) )
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_317])]) ).
tff(f2675,plain,
( spl29_275
<=> ! [X0] :
( ~ p(X0)
| ( inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)) = X0 )
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_275])]) ).
tff(f2777,plain,
( ! [X0: tp__o] :
( ( inj__o(X0) = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)) )
| ~ p(inj__o(X0)) )
| ~ spl29_10
| ~ spl29_275 ),
inference(resolution,[],[f2676,f614]) ).
tff(f2676,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| ( inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)) = X0 )
| ~ p(X0) )
| ~ spl29_275 ),
inference(avatar_component_clause,[],[f2675]) ).
tff(f3125,plain,
( spl29_316
| ~ spl29_50
| ~ spl29_170 ),
inference(avatar_split_clause,[],[f1822,f1796,f794,f3123]) ).
tff(f3123,plain,
( spl29_316
<=> ! [X0: del,X1] :
( ~ p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool))
| p(ap(c_2Ebool_2E_3F(arr(X0,bool)),c_2Ebool_2E_3F(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_316])]) ).
tff(f1822,plain,
( ! [X0: del,X1: $i] :
( ~ p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool))
| p(ap(c_2Ebool_2E_3F(arr(X0,bool)),c_2Ebool_2E_3F(X0))) )
| ~ spl29_50
| ~ spl29_170 ),
inference(resolution,[],[f1797,f795]) ).
tff(f3121,plain,
( spl29_315
| ~ spl29_72
| ~ spl29_160 ),
inference(avatar_split_clause,[],[f1715,f1698,f892,f3119]) ).
tff(f3119,plain,
( spl29_315
<=> ! [X0: del,X1] :
( sP0(c_2Ebool_2E_7E,X0,X1)
| mem(sK27(X0,X1),X0)
| p(sK26(c_2Ebool_2E_7E,X0))
| ~ mem(sK26(c_2Ebool_2E_7E,X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_315])]) ).
tff(f1715,plain,
( ! [X0: del,X1: $i] :
( sP0(c_2Ebool_2E_7E,X0,X1)
| mem(sK27(X0,X1),X0)
| p(sK26(c_2Ebool_2E_7E,X0))
| ~ mem(sK26(c_2Ebool_2E_7E,X0),bool) )
| ~ spl29_72
| ~ spl29_160 ),
inference(resolution,[],[f1699,f893]) ).
tff(f3117,plain,
( spl29_314
| ~ spl29_72
| ~ spl29_159 ),
inference(avatar_split_clause,[],[f1710,f1694,f892,f3115]) ).
tff(f3115,plain,
( spl29_314
<=> ! [X0,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,c_2Ebool_2E_7E)
| p(sK27(X1,c_2Ebool_2E_7E))
| ~ mem(sK27(X1,c_2Ebool_2E_7E),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_314])]) ).
tff(f1710,plain,
( ! [X0: $i,X1: del] :
( mem(sK26(X0,X1),X1)
| sP0(X0,X1,c_2Ebool_2E_7E)
| p(sK27(X1,c_2Ebool_2E_7E))
| ~ mem(sK27(X1,c_2Ebool_2E_7E),bool) )
| ~ spl29_72
| ~ spl29_159 ),
inference(resolution,[],[f1695,f893]) ).
tff(f3113,plain,
( spl29_313
| ~ spl29_49
| ~ spl29_157 ),
inference(avatar_split_clause,[],[f1703,f1686,f790,f3111]) ).
tff(f3111,plain,
( spl29_313
<=> ! [X0: del] :
( mem(sK21(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool))
| p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_313])]) ).
tff(f1703,plain,
( ! [X0: del] :
( mem(sK21(arr(X0,bool),c_2Ebool_2E_21(X0)),arr(X0,bool))
| p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_21(X0))) )
| ~ spl29_49
| ~ spl29_157 ),
inference(resolution,[],[f1687,f791]) ).
tff(f3109,plain,
( spl29_312
| ~ spl29_50
| ~ spl29_157 ),
inference(avatar_split_clause,[],[f1701,f1686,f794,f3107]) ).
tff(f3107,plain,
( spl29_312
<=> ! [X0: del] :
( mem(sK21(arr(X0,bool),c_2Ebool_2E_3F(X0)),arr(X0,bool))
| p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_3F(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_312])]) ).
tff(f1701,plain,
( ! [X0: del] :
( mem(sK21(arr(X0,bool),c_2Ebool_2E_3F(X0)),arr(X0,bool))
| p(ap(c_2Ebool_2E_21(arr(X0,bool)),c_2Ebool_2E_3F(X0))) )
| ~ spl29_50
| ~ spl29_157 ),
inference(resolution,[],[f1687,f795]) ).
tff(f3105,plain,
( spl29_311
| ~ spl29_52
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1666,f1462,f802,f3103]) ).
tff(f3103,plain,
( spl29_311
<=> ! [X0,X1] :
( sP0(X1,ty_2Einteger_2Eint,X0)
| mem(sK26(X1,ty_2Einteger_2Eint),ty_2Einteger_2Eint)
| ( sK27(ty_2Einteger_2Eint,X0) = inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK27(ty_2Einteger_2Eint,X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_311])]) ).
tff(f1666,plain,
( ! [X0: $i,X1: $i] :
( sP0(X1,ty_2Einteger_2Eint,X0)
| mem(sK26(X1,ty_2Einteger_2Eint),ty_2Einteger_2Eint)
| ( sK27(ty_2Einteger_2Eint,X0) = inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK27(ty_2Einteger_2Eint,X0))) ) )
| ~ spl29_52
| ~ spl29_152 ),
inference(resolution,[],[f1463,f803]) ).
tff(f3101,plain,
( spl29_310
| ~ spl29_53
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1664,f1462,f806,f3099]) ).
tff(f3099,plain,
( spl29_310
<=> ! [X0,X1] :
( sP0(X1,bool,X0)
| mem(sK26(X1,bool),bool)
| ( sK27(bool,X0) = inj__o(surj__o(sK27(bool,X0))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_310])]) ).
tff(f1664,plain,
( ! [X0: $i,X1: $i] :
( sP0(X1,bool,X0)
| mem(sK26(X1,bool),bool)
| ( sK27(bool,X0) = inj__o(surj__o(sK27(bool,X0))) ) )
| ~ spl29_53
| ~ spl29_152 ),
inference(resolution,[],[f1463,f807]) ).
tff(f3097,plain,
( spl29_309
| ~ spl29_79
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1660,f1462,f957,f3095]) ).
tff(f3095,plain,
( spl29_309
<=> ! [X0: del,X3,X2,X1] :
( sP0(X2,X0,X1)
| mem(sK26(X2,X0),X0)
| ( ap(k(X0,X3),sK27(X0,X1)) = X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_309])]) ).
tff(f957,plain,
( spl29_79
<=> ! [X2,X0: del,X1] :
( ( ap(k(X0,X1),X2) = X1 )
| ~ mem(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_79])]) ).
tff(f1660,plain,
( ! [X2: $i,X3: $i,X0: del,X1: $i] :
( sP0(X2,X0,X1)
| mem(sK26(X2,X0),X0)
| ( ap(k(X0,X3),sK27(X0,X1)) = X3 ) )
| ~ spl29_79
| ~ spl29_152 ),
inference(resolution,[],[f1463,f958]) ).
tff(f958,plain,
( ! [X2: $i,X0: del,X1: $i] :
( ~ mem(X2,X0)
| ( ap(k(X0,X1),X2) = X1 ) )
| ~ spl29_79 ),
inference(avatar_component_clause,[],[f957]) ).
tff(f3093,plain,
( spl29_308
| ~ spl29_52
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1659,f1462,f802,f3091]) ).
tff(f3091,plain,
( spl29_308
<=> ! [X0,X1] :
( sP0(X0,ty_2Einteger_2Eint,X1)
| mem(sK27(ty_2Einteger_2Eint,X1),ty_2Einteger_2Eint)
| ( sK26(X0,ty_2Einteger_2Eint) = inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK26(X0,ty_2Einteger_2Eint))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_308])]) ).
tff(f1659,plain,
( ! [X0: $i,X1: $i] :
( sP0(X0,ty_2Einteger_2Eint,X1)
| mem(sK27(ty_2Einteger_2Eint,X1),ty_2Einteger_2Eint)
| ( sK26(X0,ty_2Einteger_2Eint) = inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(sK26(X0,ty_2Einteger_2Eint))) ) )
| ~ spl29_52
| ~ spl29_152 ),
inference(resolution,[],[f1463,f803]) ).
tff(f3089,plain,
( spl29_307
| ~ spl29_53
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1657,f1462,f806,f3087]) ).
tff(f3087,plain,
( spl29_307
<=> ! [X0,X1] :
( sP0(X0,bool,X1)
| mem(sK27(bool,X1),bool)
| ( sK26(X0,bool) = inj__o(surj__o(sK26(X0,bool))) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_307])]) ).
tff(f1657,plain,
( ! [X0: $i,X1: $i] :
( sP0(X0,bool,X1)
| mem(sK27(bool,X1),bool)
| ( sK26(X0,bool) = inj__o(surj__o(sK26(X0,bool))) ) )
| ~ spl29_53
| ~ spl29_152 ),
inference(resolution,[],[f1463,f807]) ).
tff(f3079,plain,
( spl29_306
| ~ spl29_79
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1653,f1462,f957,f3077]) ).
tff(f3077,plain,
( spl29_306
<=> ! [X0,X3,X2,X1: del] :
( sP0(X0,X1,X2)
| mem(sK27(X1,X2),X1)
| ( ap(k(X1,X3),sK26(X0,X1)) = X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_306])]) ).
tff(f1653,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| mem(sK27(X1,X2),X1)
| ( ap(k(X1,X3),sK26(X0,X1)) = X3 ) )
| ~ spl29_79
| ~ spl29_152 ),
inference(resolution,[],[f1463,f958]) ).
tff(f3075,plain,
( spl29_305
| ~ spl29_79
| ~ spl29_151 ),
inference(avatar_split_clause,[],[f1479,f1457,f957,f3073]) ).
tff(f3073,plain,
( spl29_305
<=> ! [X0,X3,X2,X1: del] :
( sP0(X0,X1,X2)
| ~ sP1(X2,X1,X0)
| ( ap(k(X1,X3),sK25(X2,X1,X0)) = X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_305])]) ).
tff(f1479,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| ~ sP1(X2,X1,X0)
| ( ap(k(X1,X3),sK25(X2,X1,X0)) = X3 ) )
| ~ spl29_79
| ~ spl29_151 ),
inference(resolution,[],[f1458,f958]) ).
tff(f3001,plain,
( spl29_304
| ~ spl29_104
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1652,f1462,f1106,f2999]) ).
tff(f2999,plain,
( spl29_304
<=> ! [X0,X3,X2,X1: del] :
( mem(sK26(X0,X1),X1)
| mem(sK27(X1,X2),X1)
| ~ mem(X3,X1)
| p(ap(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_304])]) ).
tff(f1106,plain,
( spl29_104
<=> ! [X6,X2,X0,X1: del] :
( p(ap(X2,X6))
| ~ mem(X6,X1)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_104])]) ).
tff(f1652,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( mem(sK26(X0,X1),X1)
| mem(sK27(X1,X2),X1)
| ~ mem(X3,X1)
| p(ap(X2,X3)) )
| ~ spl29_104
| ~ spl29_152 ),
inference(resolution,[],[f1463,f1107]) ).
tff(f1107,plain,
( ! [X2: $i,X0: $i,X1: del,X6: $i] :
( ~ sP0(X0,X1,X2)
| ~ mem(X6,X1)
| p(ap(X2,X6)) )
| ~ spl29_104 ),
inference(avatar_component_clause,[],[f1106]) ).
tff(f2997,plain,
( spl29_303
| ~ spl29_105
| ~ spl29_152 ),
inference(avatar_split_clause,[],[f1651,f1462,f1110,f2995]) ).
tff(f2995,plain,
( spl29_303
<=> ! [X0,X3,X2,X1: del] :
( mem(sK26(X0,X1),X1)
| mem(sK27(X1,X2),X1)
| ~ mem(X3,X1)
| p(ap(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_303])]) ).
tff(f1110,plain,
( spl29_105
<=> ! [X0,X5,X2,X1: del] :
( p(ap(X0,X5))
| ~ mem(X5,X1)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_105])]) ).
tff(f1651,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: del] :
( mem(sK26(X0,X1),X1)
| mem(sK27(X1,X2),X1)
| ~ mem(X3,X1)
| p(ap(X0,X3)) )
| ~ spl29_105
| ~ spl29_152 ),
inference(resolution,[],[f1463,f1111]) ).
tff(f1111,plain,
( ! [X2: $i,X0: $i,X1: del,X5: $i] :
( ~ sP0(X0,X1,X2)
| ~ mem(X5,X1)
| p(ap(X0,X5)) )
| ~ spl29_105 ),
inference(avatar_component_clause,[],[f1110]) ).
tff(f2967,plain,
( spl29_302
| ~ spl29_13
| ~ spl29_29
| ~ spl29_289 ),
inference(avatar_split_clause,[],[f2903,f2828,f709,f629,f2964]) ).
tff(f2964,plain,
( spl29_302
<=> ( fo__c_2Ebool_2ET = fo__c_2Einteger_2Eint__divides(sK18,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_302])]) ).
tff(f2903,plain,
( ( fo__c_2Ebool_2ET = fo__c_2Einteger_2Eint__divides(sK18,sK19) )
| ~ spl29_13
| ~ spl29_29
| ~ spl29_289 ),
inference(forward_demodulation,[],[f2874,f711]) ).
tff(f2874,plain,
( ( fo__c_2Einteger_2Eint__divides(sK18,sK19) = surj__o(c_2Ebool_2ET) )
| ~ spl29_13
| ~ spl29_289 ),
inference(superposition,[],[f630,f2830]) ).
tff(f2930,plain,
( spl29_301
| ~ spl29_24
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1897,f1875,f685,f2928]) ).
tff(f2928,plain,
( spl29_301
<=> ! [X0] :
( mem(sK28(bool,X0,c_2Ebool_2E_2F_5C),bool)
| ( c_2Ebool_2E_2F_5C = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_301])]) ).
tff(f685,plain,
( spl29_24
<=> mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_24])]) ).
tff(f1897,plain,
( ! [X0: $i] :
( mem(sK28(bool,X0,c_2Ebool_2E_2F_5C),bool)
| ( c_2Ebool_2E_2F_5C = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl29_24
| ~ spl29_178 ),
inference(resolution,[],[f1876,f687]) ).
tff(f687,plain,
( mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool)))
| ~ spl29_24 ),
inference(avatar_component_clause,[],[f685]) ).
tff(f2926,plain,
( spl29_300
| ~ spl29_23
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1896,f1875,f680,f2924]) ).
tff(f2924,plain,
( spl29_300
<=> ! [X0] :
( mem(sK28(bool,X0,c_2Ebool_2E_5C_2F),bool)
| ( c_2Ebool_2E_5C_2F = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_300])]) ).
tff(f680,plain,
( spl29_23
<=> mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_23])]) ).
tff(f1896,plain,
( ! [X0: $i] :
( mem(sK28(bool,X0,c_2Ebool_2E_5C_2F),bool)
| ( c_2Ebool_2E_5C_2F = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl29_23
| ~ spl29_178 ),
inference(resolution,[],[f1876,f682]) ).
tff(f682,plain,
( mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool)))
| ~ spl29_23 ),
inference(avatar_component_clause,[],[f680]) ).
tff(f2871,plain,
( spl29_299
| ~ spl29_22
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1895,f1875,f675,f2869]) ).
tff(f2869,plain,
( spl29_299
<=> ! [X0] :
( mem(sK28(bool,X0,c_2Emin_2E_3D_3D_3E),bool)
| ( c_2Emin_2E_3D_3D_3E = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_299])]) ).
tff(f675,plain,
( spl29_22
<=> mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_22])]) ).
tff(f1895,plain,
( ! [X0: $i] :
( mem(sK28(bool,X0,c_2Emin_2E_3D_3D_3E),bool)
| ( c_2Emin_2E_3D_3D_3E = X0 )
| ~ mem(X0,arr(bool,arr(bool,bool))) )
| ~ spl29_22
| ~ spl29_178 ),
inference(resolution,[],[f1876,f677]) ).
tff(f677,plain,
( mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool)))
| ~ spl29_22 ),
inference(avatar_component_clause,[],[f675]) ).
tff(f2867,plain,
( spl29_298
| ~ spl29_27
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1894,f1875,f700,f2865]) ).
tff(f2865,plain,
( spl29_298
<=> ! [X0] :
( mem(sK28(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__divides),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__divides = X0 )
| ~ mem(X0,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_298])]) ).
tff(f700,plain,
( spl29_27
<=> mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_27])]) ).
tff(f1894,plain,
( ! [X0: $i] :
( mem(sK28(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__divides),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__divides = X0 )
| ~ mem(X0,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))) )
| ~ spl29_27
| ~ spl29_178 ),
inference(resolution,[],[f1876,f702]) ).
tff(f702,plain,
( mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool)))
| ~ spl29_27 ),
inference(avatar_component_clause,[],[f700]) ).
tff(f2863,plain,
( spl29_297
| ~ spl29_25
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1892,f1875,f690,f2861]) ).
tff(f2861,plain,
( spl29_297
<=> ! [X0] :
( mem(sK28(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__add),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__add = X0 )
| ~ mem(X0,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_297])]) ).
tff(f690,plain,
( spl29_25
<=> mem(c_2Einteger_2Eint__add,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_25])]) ).
tff(f1892,plain,
( ! [X0: $i] :
( mem(sK28(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__add),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__add = X0 )
| ~ mem(X0,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))) )
| ~ spl29_25
| ~ spl29_178 ),
inference(resolution,[],[f1876,f692]) ).
tff(f692,plain,
( mem(c_2Einteger_2Eint__add,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)))
| ~ spl29_25 ),
inference(avatar_component_clause,[],[f690]) ).
tff(f2859,plain,
( spl29_296
| ~ spl29_26
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1891,f1875,f695,f2857]) ).
tff(f2857,plain,
( spl29_296
<=> ! [X0] :
( mem(sK28(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__sub = X0 )
| ~ mem(X0,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_296])]) ).
tff(f695,plain,
( spl29_26
<=> mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_26])]) ).
tff(f1891,plain,
( ! [X0: $i] :
( mem(sK28(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__sub),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__sub = X0 )
| ~ mem(X0,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))) )
| ~ spl29_26
| ~ spl29_178 ),
inference(resolution,[],[f1876,f697]) ).
tff(f697,plain,
( mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)))
| ~ spl29_26 ),
inference(avatar_component_clause,[],[f695]) ).
tff(f2855,plain,
( spl29_295
| ~ spl29_117
| ~ spl29_150 ),
inference(avatar_split_clause,[],[f1478,f1453,f1186,f2853]) ).
tff(f2853,plain,
( spl29_295
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| ~ p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_295])]) ).
tff(f1478,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| ~ p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_117
| ~ spl29_150 ),
inference(superposition,[],[f1454,f1187]) ).
tff(f2851,plain,
( spl29_294
| ~ spl29_117
| ~ spl29_149 ),
inference(avatar_split_clause,[],[f1477,f1449,f1186,f2849]) ).
tff(f2849,plain,
( spl29_294
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_294])]) ).
tff(f1477,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_117
| ~ spl29_149 ),
inference(superposition,[],[f1450,f1187]) ).
tff(f2847,plain,
( spl29_293
| ~ spl29_116
| ~ spl29_148 ),
inference(avatar_split_clause,[],[f1476,f1445,f1182,f2845]) ).
tff(f2845,plain,
( spl29_293
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| ~ p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_293])]) ).
tff(f1476,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| ~ p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_116
| ~ spl29_148 ),
inference(superposition,[],[f1446,f1183]) ).
tff(f2843,plain,
( spl29_292
| ~ spl29_116
| ~ spl29_147 ),
inference(avatar_split_clause,[],[f1475,f1441,f1182,f2841]) ).
tff(f2841,plain,
( spl29_292
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_292])]) ).
tff(f1475,plain,
( ! [X0: tp__o,X1: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_116
| ~ spl29_147 ),
inference(superposition,[],[f1442,f1183]) ).
tff(f2839,plain,
( spl29_291
| ~ spl29_118
| ~ spl29_146 ),
inference(avatar_split_clause,[],[f1474,f1437,f1190,f2837]) ).
tff(f2837,plain,
( spl29_291
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_291])]) ).
tff(f1474,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X1))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_118
| ~ spl29_146 ),
inference(superposition,[],[f1438,f1191]) ).
tff(f2835,plain,
( spl29_290
| ~ spl29_118
| ~ spl29_145 ),
inference(avatar_split_clause,[],[f1473,f1433,f1190,f2833]) ).
tff(f2833,plain,
( spl29_290
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_290])]) ).
tff(f1473,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)))
| p(inj__o(X0))
| ~ mem(inj__o(X1),bool)
| ~ mem(inj__o(X0),bool) )
| ~ spl29_118
| ~ spl29_145 ),
inference(superposition,[],[f1434,f1191]) ).
tff(f2831,plain,
( ~ spl29_4
| spl29_289
| ~ spl29_5
| ~ spl29_275 ),
inference(avatar_split_clause,[],[f2778,f2675,f589,f2828,f584]) ).
tff(f2778,plain,
( ( c_2Ebool_2ET = inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)) )
| ~ p(c_2Ebool_2ET)
| ~ spl29_5
| ~ spl29_275 ),
inference(resolution,[],[f2676,f591]) ).
tff(f2823,plain,
( spl29_288
| ~ spl29_40
| ~ spl29_181 ),
inference(avatar_split_clause,[],[f1913,f1887,f754,f2821]) ).
tff(f2821,plain,
( spl29_288
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP17(X0,X1,X2)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_288])]) ).
tff(f754,plain,
( spl29_40
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_40])]) ).
tff(f1887,plain,
( spl29_181
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP17(X0,X1,X2)
| p(inj__o(X0))
| ~ sP15(X0,X2,X1)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_181])]) ).
tff(f1913,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP17(X0,X1,X2)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) )
| ~ spl29_40
| ~ spl29_181 ),
inference(duplicate_literal_removal,[],[f1910]) ).
tff(f1910,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| sP17(X0,X1,X2)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0)
| p(inj__o(X0)) )
| ~ spl29_40
| ~ spl29_181 ),
inference(resolution,[],[f1888,f755]) ).
tff(f755,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0)) )
| ~ spl29_40 ),
inference(avatar_component_clause,[],[f754]) ).
tff(f1888,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP15(X0,X2,X1)
| p(inj__o(X0))
| sP17(X0,X1,X2)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) )
| ~ spl29_181 ),
inference(avatar_component_clause,[],[f1887]) ).
tff(f2766,plain,
( spl29_287
| ~ spl29_11
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1898,f1875,f619,f2764]) ).
tff(f2764,plain,
( spl29_287
<=> ! [X0] :
( mem(sK28(bool,X0,c_2Ebool_2E_7E),bool)
| ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_287])]) ).
tff(f619,plain,
( spl29_11
<=> mem(c_2Ebool_2E_7E,arr(bool,bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_11])]) ).
tff(f1898,plain,
( ! [X0: $i] :
( mem(sK28(bool,X0,c_2Ebool_2E_7E),bool)
| ( c_2Ebool_2E_7E = X0 )
| ~ mem(X0,arr(bool,bool)) )
| ~ spl29_11
| ~ spl29_178 ),
inference(resolution,[],[f1876,f621]) ).
tff(f621,plain,
( mem(c_2Ebool_2E_7E,arr(bool,bool))
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f619]) ).
tff(f2762,plain,
( spl29_286
| ~ spl29_12
| ~ spl29_178 ),
inference(avatar_split_clause,[],[f1893,f1875,f624,f2760]) ).
tff(f2760,plain,
( spl29_286
<=> ! [X0] :
( mem(sK28(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__neg),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__neg = X0 )
| ~ mem(X0,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_286])]) ).
tff(f624,plain,
( spl29_12
<=> mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_12])]) ).
tff(f1893,plain,
( ! [X0: $i] :
( mem(sK28(ty_2Einteger_2Eint,X0,c_2Einteger_2Eint__neg),ty_2Einteger_2Eint)
| ( c_2Einteger_2Eint__neg = X0 )
| ~ mem(X0,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) )
| ~ spl29_12
| ~ spl29_178 ),
inference(resolution,[],[f1876,f626]) ).
tff(f626,plain,
( mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f624]) ).
tff(f2758,plain,
( spl29_285
| ~ spl29_49
| ~ spl29_153 ),
inference(avatar_split_clause,[],[f1672,f1466,f790,f2756]) ).
tff(f2756,plain,
( spl29_285
<=> ! [X0,X1: del] :
( sP1(X0,arr(X1,bool),c_2Ebool_2E_21(X1))
| ~ mem(X0,arr(arr(X1,bool),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_285])]) ).
tff(f1672,plain,
( ! [X0: $i,X1: del] :
( sP1(X0,arr(X1,bool),c_2Ebool_2E_21(X1))
| ~ mem(X0,arr(arr(X1,bool),bool)) )
| ~ spl29_49
| ~ spl29_153 ),
inference(resolution,[],[f1467,f791]) ).
tff(f2754,plain,
( spl29_284
| ~ spl29_50
| ~ spl29_153 ),
inference(avatar_split_clause,[],[f1670,f1466,f794,f2752]) ).
tff(f2752,plain,
( spl29_284
<=> ! [X0,X1: del] :
( sP1(X0,arr(X1,bool),c_2Ebool_2E_3F(X1))
| ~ mem(X0,arr(arr(X1,bool),bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_284])]) ).
tff(f1670,plain,
( ! [X0: $i,X1: del] :
( sP1(X0,arr(X1,bool),c_2Ebool_2E_3F(X1))
| ~ mem(X0,arr(arr(X1,bool),bool)) )
| ~ spl29_50
| ~ spl29_153 ),
inference(resolution,[],[f1467,f795]) ).
tff(f2750,plain,
( spl29_283
| ~ spl29_76
| ~ spl29_111 ),
inference(avatar_split_clause,[],[f1167,f1134,f908,f2748]) ).
tff(f2748,plain,
( spl29_283
<=> ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP3(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_283])]) ).
tff(f1167,plain,
( ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP3(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)),X2) )
| ~ spl29_76
| ~ spl29_111 ),
inference(resolution,[],[f1135,f909]) ).
tff(f2746,plain,
( spl29_282
| ~ spl29_77
| ~ spl29_111 ),
inference(avatar_split_clause,[],[f1166,f1134,f912,f2744]) ).
tff(f2744,plain,
( spl29_282
<=> ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP3(X2,fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_282])]) ).
tff(f1166,plain,
( ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP3(X2,fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))) )
| ~ spl29_77
| ~ spl29_111 ),
inference(resolution,[],[f1135,f913]) ).
tff(f2742,plain,
( spl29_281
| ~ spl29_78
| ~ spl29_111 ),
inference(avatar_split_clause,[],[f1165,f1134,f916,f2740]) ).
tff(f2740,plain,
( spl29_281
<=> ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP2(X2,fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_281])]) ).
tff(f1165,plain,
( ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP2(X2,fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))) )
| ~ spl29_78
| ~ spl29_111 ),
inference(resolution,[],[f1135,f917]) ).
tff(f2738,plain,
( spl29_280
| ~ spl29_76
| ~ spl29_109 ),
inference(avatar_split_clause,[],[f1162,f1126,f908,f2736]) ).
tff(f2736,plain,
( spl29_280
<=> ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP3(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_280])]) ).
tff(f1162,plain,
( ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP3(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1),X2) )
| ~ spl29_76
| ~ spl29_109 ),
inference(resolution,[],[f1127,f909]) ).
tff(f2734,plain,
( spl29_279
| ~ spl29_17
| ~ spl29_262 ),
inference(avatar_split_clause,[],[f2639,f2564,f651,f2732]) ).
tff(f2564,plain,
( spl29_262
<=> ! [X0: tp__o,X1] :
( ~ p(inj__o(X0))
| ~ p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_262])]) ).
tff(f2639,plain,
( ! [X0: $i] :
( ~ p(X0)
| ( inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)) = X0 )
| ~ mem(X0,bool) )
| ~ spl29_17
| ~ spl29_262 ),
inference(resolution,[],[f2565,f653]) ).
tff(f653,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)))
| ~ spl29_17 ),
inference(avatar_component_clause,[],[f651]) ).
tff(f2565,plain,
( ! [X0: tp__o,X1: $i] :
( ~ p(inj__o(X0))
| ~ p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) )
| ~ spl29_262 ),
inference(avatar_component_clause,[],[f2564]) ).
tff(f2730,plain,
( spl29_278
| ~ spl29_77
| ~ spl29_109 ),
inference(avatar_split_clause,[],[f1161,f1126,f912,f2728]) ).
tff(f2728,plain,
( spl29_278
<=> ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP3(X2,fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_278])]) ).
tff(f1161,plain,
( ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP3(X2,fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)) )
| ~ spl29_77
| ~ spl29_109 ),
inference(resolution,[],[f1127,f913]) ).
tff(f2726,plain,
( spl29_277
| ~ spl29_78
| ~ spl29_109 ),
inference(avatar_split_clause,[],[f1160,f1126,f916,f2724]) ).
tff(f2724,plain,
( spl29_277
<=> ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP2(X2,fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_277])]) ).
tff(f1160,plain,
( ! [X2: tp__o,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(X2))
| sP2(X2,fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)) )
| ~ spl29_78
| ~ spl29_109 ),
inference(resolution,[],[f1127,f917]) ).
tff(f2681,plain,
( spl29_276
| ~ spl29_66
| ~ spl29_140 ),
inference(avatar_split_clause,[],[f1417,f1305,f858,f2679]) ).
tff(f2679,plain,
( spl29_276
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| sP17(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_276])]) ).
tff(f858,plain,
( spl29_66
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP17(X0,X1,X2)
| ~ sP16(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_66])]) ).
tff(f1305,plain,
( spl29_140
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_140])]) ).
tff(f1417,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| sP17(X2,X1,X0) )
| ~ spl29_66
| ~ spl29_140 ),
inference(resolution,[],[f1306,f859]) ).
tff(f859,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP16(X2,X1,X0)
| sP17(X0,X1,X2) )
| ~ spl29_66 ),
inference(avatar_component_clause,[],[f858]) ).
tff(f1306,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl29_140 ),
inference(avatar_component_clause,[],[f1305]) ).
tff(f2677,plain,
( spl29_275
| ~ spl29_2
| ~ spl29_262 ),
inference(avatar_split_clause,[],[f2638,f2564,f574,f2675]) ).
tff(f574,plain,
( spl29_2
<=> p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).
tff(f2638,plain,
( ! [X0: $i] :
( ~ p(X0)
| ( inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)) = X0 )
| ~ mem(X0,bool) )
| ~ spl29_2
| ~ spl29_262 ),
inference(resolution,[],[f2565,f576]) ).
tff(f576,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)))
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f574]) ).
tff(f2673,plain,
( spl29_274
| ~ spl29_66
| ~ spl29_139 ),
inference(avatar_split_clause,[],[f1409,f1301,f858,f2671]) ).
tff(f2671,plain,
( spl29_274
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| sP17(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_274])]) ).
tff(f1301,plain,
( spl29_139
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_139])]) ).
tff(f1409,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| sP17(X2,X1,X0) )
| ~ spl29_66
| ~ spl29_139 ),
inference(resolution,[],[f1302,f859]) ).
tff(f1302,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl29_139 ),
inference(avatar_component_clause,[],[f1301]) ).
tff(f2669,plain,
( spl29_273
| ~ spl29_66
| ~ spl29_138 ),
inference(avatar_split_clause,[],[f1401,f1297,f858,f2667]) ).
tff(f2667,plain,
( spl29_273
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP17(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_273])]) ).
tff(f1297,plain,
( spl29_138
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X0))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_138])]) ).
tff(f1401,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP17(X2,X0,X1) )
| ~ spl29_66
| ~ spl29_138 ),
inference(resolution,[],[f1298,f859]) ).
tff(f1298,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X0))
| p(inj__o(X2)) )
| ~ spl29_138 ),
inference(avatar_component_clause,[],[f1297]) ).
tff(f2665,plain,
( spl29_272
| ~ spl29_66
| ~ spl29_137 ),
inference(avatar_split_clause,[],[f1393,f1290,f858,f2663]) ).
tff(f2663,plain,
( spl29_272
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP17(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_272])]) ).
tff(f1290,plain,
( spl29_137
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_137])]) ).
tff(f1393,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP17(X2,X1,X0) )
| ~ spl29_66
| ~ spl29_137 ),
inference(resolution,[],[f1291,f859]) ).
tff(f1291,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
| ~ spl29_137 ),
inference(avatar_component_clause,[],[f1290]) ).
tff(f2661,plain,
( spl29_271
| ~ spl29_61
| ~ spl29_130 ),
inference(avatar_split_clause,[],[f1374,f1262,f838,f2659]) ).
tff(f2659,plain,
( spl29_271
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP12(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_271])]) ).
tff(f838,plain,
( spl29_61
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_61])]) ).
tff(f1262,plain,
( spl29_130
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_130])]) ).
tff(f1374,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| sP12(X1,X0,X2) )
| ~ spl29_61
| ~ spl29_130 ),
inference(resolution,[],[f1263,f839]) ).
tff(f839,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP11(X2,X1,X0)
| sP12(X1,X2,X0) )
| ~ spl29_61 ),
inference(avatar_component_clause,[],[f838]) ).
tff(f1263,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
| ~ spl29_130 ),
inference(avatar_component_clause,[],[f1262]) ).
tff(f2657,plain,
( spl29_270
| ~ spl29_58
| ~ spl29_127 ),
inference(avatar_split_clause,[],[f1360,f1247,f826,f2655]) ).
tff(f2655,plain,
( spl29_270
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| sP9(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_270])]) ).
tff(f826,plain,
( spl29_58
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X1,X2,X0)
| ~ sP8(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_58])]) ).
tff(f1247,plain,
( spl29_127
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_127])]) ).
tff(f1360,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| sP9(X1,X0,X2) )
| ~ spl29_58
| ~ spl29_127 ),
inference(resolution,[],[f1248,f827]) ).
tff(f827,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP8(X2,X1,X0)
| sP9(X1,X2,X0) )
| ~ spl29_58 ),
inference(avatar_component_clause,[],[f826]) ).
tff(f1248,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2)) )
| ~ spl29_127 ),
inference(avatar_component_clause,[],[f1247]) ).
tff(f2653,plain,
( spl29_269
| ~ spl29_55
| ~ spl29_124 ),
inference(avatar_split_clause,[],[f1346,f1235,f814,f2651]) ).
tff(f2651,plain,
( spl29_269
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| sP6(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_269])]) ).
tff(f814,plain,
( spl29_55
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X2,X1)
| ~ sP5(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_55])]) ).
tff(f1235,plain,
( spl29_124
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_124])]) ).
tff(f1346,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| sP6(X2,X0,X1) )
| ~ spl29_55
| ~ spl29_124 ),
inference(resolution,[],[f1236,f815]) ).
tff(f815,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ sP5(X2,X1,X0)
| sP6(X0,X2,X1) )
| ~ spl29_55 ),
inference(avatar_component_clause,[],[f814]) ).
tff(f1236,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl29_124 ),
inference(avatar_component_clause,[],[f1235]) ).
tff(f2613,plain,
( spl29_268
| spl29_3
| ~ spl29_7
| ~ spl29_194 ),
inference(avatar_split_clause,[],[f2024,f2009,f599,f579,f2610]) ).
tff(f2610,plain,
( spl29_268
<=> sP2(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_268])]) ).
tff(f579,plain,
( spl29_3
<=> p(c_2Ebool_2EF) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).
tff(f599,plain,
( spl29_7
<=> ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_7])]) ).
tff(f2024,plain,
( p(c_2Ebool_2EF)
| sP2(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)
| ~ spl29_7
| ~ spl29_194 ),
inference(superposition,[],[f2010,f601]) ).
tff(f601,plain,
( ( c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF) )
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f599]) ).
tff(f2601,plain,
( spl29_267
| spl29_266
| ~ spl29_11
| ~ spl29_172 ),
inference(avatar_split_clause,[],[f1835,f1804,f619,f2587,f2598]) ).
tff(f2598,plain,
( spl29_267
<=> mem(sK23(bool,c_2Ebool_2E_7E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_267])]) ).
tff(f2587,plain,
( spl29_266
<=> ! [X0] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_266])]) ).
tff(f1835,plain,
( ! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool)
| mem(sK23(bool,c_2Ebool_2E_7E),bool) )
| ~ spl29_11
| ~ spl29_172 ),
inference(resolution,[],[f1805,f621]) ).
tff(f2589,plain,
( spl29_265
| spl29_266
| ~ spl29_11
| ~ spl29_171 ),
inference(avatar_split_clause,[],[f1829,f1800,f619,f2587,f2583]) ).
tff(f2583,plain,
( spl29_265
<=> mem(sK24(bool,c_2Ebool_2E_7E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_265])]) ).
tff(f1829,plain,
( ! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool)
| mem(sK24(bool,c_2Ebool_2E_7E),bool) )
| ~ spl29_11
| ~ spl29_171 ),
inference(resolution,[],[f1801,f621]) ).
tff(f2574,plain,
( spl29_263
| spl29_264
| ~ spl29_11
| ~ spl29_170 ),
inference(avatar_split_clause,[],[f1823,f1796,f619,f2572,f2568]) ).
tff(f2568,plain,
( spl29_263
<=> p(ap(c_2Ebool_2E_3F(bool),c_2Ebool_2E_7E)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_263])]) ).
tff(f2572,plain,
( spl29_264
<=> ! [X0] :
( ~ p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_264])]) ).
tff(f1823,plain,
( ! [X0: $i] :
( ~ p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool)
| p(ap(c_2Ebool_2E_3F(bool),c_2Ebool_2E_7E)) )
| ~ spl29_11
| ~ spl29_170 ),
inference(resolution,[],[f1797,f621]) ).
tff(f2566,plain,
( spl29_262
| ~ spl29_10
| ~ spl29_121 ),
inference(avatar_split_clause,[],[f1325,f1223,f613,f2564]) ).
tff(f1325,plain,
( ! [X0: tp__o,X1: $i] :
( ~ p(inj__o(X0))
| ~ p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) )
| ~ spl29_10
| ~ spl29_121 ),
inference(resolution,[],[f1224,f614]) ).
tff(f2562,plain,
( spl29_261
| ~ spl29_10
| ~ spl29_120 ),
inference(avatar_split_clause,[],[f1322,f1219,f613,f2560]) ).
tff(f2560,plain,
( spl29_261
<=> ! [X0: tp__o,X1] :
( p(inj__o(X0))
| p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_261])]) ).
tff(f1322,plain,
( ! [X0: tp__o,X1: $i] :
( p(inj__o(X0))
| p(X1)
| ( inj__o(X0) = X1 )
| ~ mem(X1,bool) )
| ~ spl29_10
| ~ spl29_120 ),
inference(resolution,[],[f1220,f614]) ).
tff(f2558,plain,
( spl29_260
| ~ spl29_109
| ~ spl29_112 ),
inference(avatar_split_clause,[],[f1168,f1138,f1126,f2556]) ).
tff(f1138,plain,
( spl29_112
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_112])]) ).
tff(f1168,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)))) )
| ~ spl29_109
| ~ spl29_112 ),
inference(resolution,[],[f1139,f1127]) ).
tff(f1139,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) )
| ~ spl29_112 ),
inference(avatar_component_clause,[],[f1138]) ).
tff(f2554,plain,
( spl29_259
| ~ spl29_110
| ~ spl29_111 ),
inference(avatar_split_clause,[],[f1164,f1134,f1130,f2552]) ).
tff(f2552,plain,
( spl29_259
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_259])]) ).
tff(f1164,plain,
( ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)))) )
| ~ spl29_110
| ~ spl29_111 ),
inference(resolution,[],[f1135,f1131]) ).
tff(f2550,plain,
( spl29_258
| ~ spl29_49
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1058,f957,f790,f2548]) ).
tff(f2548,plain,
( spl29_258
<=> ! [X0: del,X1] : ( ap(k(arr(arr(X0,bool),bool),X1),c_2Ebool_2E_21(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_258])]) ).
tff(f1058,plain,
( ! [X0: del,X1: $i] : ( ap(k(arr(arr(X0,bool),bool),X1),c_2Ebool_2E_21(X0)) = X1 )
| ~ spl29_49
| ~ spl29_79 ),
inference(resolution,[],[f958,f791]) ).
tff(f2546,plain,
( spl29_257
| ~ spl29_51
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1057,f957,f798,f2544]) ).
tff(f2544,plain,
( spl29_257
<=> ! [X0: del,X1] : ( ap(k(arr(X0,arr(X0,bool)),X1),c_2Emin_2E_3D(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_257])]) ).
tff(f1057,plain,
( ! [X0: del,X1: $i] : ( ap(k(arr(X0,arr(X0,bool)),X1),c_2Emin_2E_3D(X0)) = X1 )
| ~ spl29_51
| ~ spl29_79 ),
inference(resolution,[],[f958,f799]) ).
tff(f2542,plain,
( spl29_256
| ~ spl29_50
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1048,f957,f794,f2540]) ).
tff(f2540,plain,
( spl29_256
<=> ! [X0: del,X1] : ( ap(k(arr(arr(X0,bool),bool),X1),c_2Ebool_2E_3F(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_256])]) ).
tff(f1048,plain,
( ! [X0: del,X1: $i] : ( ap(k(arr(arr(X0,bool),bool),X1),c_2Ebool_2E_3F(X0)) = X1 )
| ~ spl29_50
| ~ spl29_79 ),
inference(resolution,[],[f958,f795]) ).
tff(f2538,plain,
( spl29_255
| ~ spl29_49
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f940,f896,f790,f2536]) ).
tff(f2536,plain,
( spl29_255
<=> ! [X0: del] : ( c_2Ebool_2E_21(X0) = ap(i(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_255])]) ).
tff(f940,plain,
( ! [X0: del] : ( c_2Ebool_2E_21(X0) = ap(i(arr(arr(X0,bool),bool)),c_2Ebool_2E_21(X0)) )
| ~ spl29_49
| ~ spl29_73 ),
inference(resolution,[],[f897,f791]) ).
tff(f2534,plain,
( spl29_254
| spl29_3
| ~ spl29_7
| ~ spl29_193 ),
inference(avatar_split_clause,[],[f2004,f1994,f599,f579,f2531]) ).
tff(f2531,plain,
( spl29_254
<=> sP3(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_254])]) ).
tff(f2004,plain,
( p(c_2Ebool_2EF)
| sP3(fo__c_2Ebool_2EF,fo__c_2Ebool_2ET)
| ~ spl29_7
| ~ spl29_193 ),
inference(superposition,[],[f1995,f601]) ).
tff(f2529,plain,
( spl29_253
| ~ spl29_51
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f939,f896,f798,f2527]) ).
tff(f2527,plain,
( spl29_253
<=> ! [X0: del] : ( c_2Emin_2E_3D(X0) = ap(i(arr(X0,arr(X0,bool))),c_2Emin_2E_3D(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_253])]) ).
tff(f939,plain,
( ! [X0: del] : ( c_2Emin_2E_3D(X0) = ap(i(arr(X0,arr(X0,bool))),c_2Emin_2E_3D(X0)) )
| ~ spl29_51
| ~ spl29_73 ),
inference(resolution,[],[f897,f799]) ).
tff(f2525,plain,
( spl29_252
| ~ spl29_50
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f930,f896,f794,f2523]) ).
tff(f2523,plain,
( spl29_252
<=> ! [X0: del] : ( c_2Ebool_2E_3F(X0) = ap(i(arr(arr(X0,bool),bool)),c_2Ebool_2E_3F(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_252])]) ).
tff(f930,plain,
( ! [X0: del] : ( c_2Ebool_2E_3F(X0) = ap(i(arr(arr(X0,bool),bool)),c_2Ebool_2E_3F(X0)) )
| ~ spl29_50
| ~ spl29_73 ),
inference(resolution,[],[f897,f795]) ).
tff(f2409,plain,
( spl29_251
| spl29_3
| ~ spl29_7
| ~ spl29_192 ),
inference(avatar_split_clause,[],[f1989,f1979,f599,f579,f2406]) ).
tff(f2406,plain,
( spl29_251
<=> sP3(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_251])]) ).
tff(f1989,plain,
( p(c_2Ebool_2EF)
| sP3(fo__c_2Ebool_2ET,fo__c_2Ebool_2EF)
| ~ spl29_7
| ~ spl29_192 ),
inference(superposition,[],[f1980,f601]) ).
tff(f2390,plain,
( spl29_250
| ~ spl29_49
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1336,f1227,f790,f2388]) ).
tff(f2388,plain,
( spl29_250
<=> ! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| mem(ap(c_2Ebool_2E_21(X1),X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_250])]) ).
tff(f1336,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| mem(ap(c_2Ebool_2E_21(X1),X0),bool) )
| ~ spl29_49
| ~ spl29_122 ),
inference(resolution,[],[f1228,f791]) ).
tff(f2386,plain,
( spl29_249
| ~ spl29_51
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1335,f1227,f798,f2384]) ).
tff(f2384,plain,
( spl29_249
<=> ! [X0,X1: del] :
( ~ mem(X0,X1)
| mem(ap(c_2Emin_2E_3D(X1),X0),arr(X1,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_249])]) ).
tff(f1335,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,X1)
| mem(ap(c_2Emin_2E_3D(X1),X0),arr(X1,bool)) )
| ~ spl29_51
| ~ spl29_122 ),
inference(resolution,[],[f1228,f799]) ).
tff(f2382,plain,
( spl29_248
| ~ spl29_50
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1326,f1227,f794,f2380]) ).
tff(f2380,plain,
( spl29_248
<=> ! [X0,X1: del] :
( ~ mem(X0,arr(X1,bool))
| mem(ap(c_2Ebool_2E_3F(X1),X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_248])]) ).
tff(f1326,plain,
( ! [X0: $i,X1: del] :
( ~ mem(X0,arr(X1,bool))
| mem(ap(c_2Ebool_2E_3F(X1),X0),bool) )
| ~ spl29_50
| ~ spl29_122 ),
inference(resolution,[],[f1228,f795]) ).
tff(f2378,plain,
( spl29_247
| ~ spl29_8
| ~ spl29_118 ),
inference(avatar_split_clause,[],[f1216,f1190,f604,f2376]) ).
tff(f2376,plain,
( spl29_247
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_247])]) ).
tff(f1216,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl29_8
| ~ spl29_118 ),
inference(superposition,[],[f1191,f606]) ).
tff(f2374,plain,
( spl29_246
| ~ spl29_7
| ~ spl29_118 ),
inference(avatar_split_clause,[],[f1215,f1190,f599,f2372]) ).
tff(f2372,plain,
( spl29_246
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_246])]) ).
tff(f1215,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl29_7
| ~ spl29_118 ),
inference(superposition,[],[f1191,f601]) ).
tff(f2362,plain,
( spl29_245
| ~ spl29_8
| ~ spl29_118 ),
inference(avatar_split_clause,[],[f1213,f1190,f604,f2360]) ).
tff(f2360,plain,
( spl29_245
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_245])]) ).
tff(f1213,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl29_8
| ~ spl29_118 ),
inference(superposition,[],[f1191,f606]) ).
tff(f2358,plain,
( spl29_244
| ~ spl29_7
| ~ spl29_118 ),
inference(avatar_split_clause,[],[f1212,f1190,f599,f2356]) ).
tff(f2356,plain,
( spl29_244
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_244])]) ).
tff(f1212,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_2F_5C,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl29_7
| ~ spl29_118 ),
inference(superposition,[],[f1191,f601]) ).
tff(f2354,plain,
( spl29_243
| ~ spl29_8
| ~ spl29_117 ),
inference(avatar_split_clause,[],[f1207,f1186,f604,f2352]) ).
tff(f2352,plain,
( spl29_243
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_243])]) ).
tff(f1207,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl29_8
| ~ spl29_117 ),
inference(superposition,[],[f1187,f606]) ).
tff(f2350,plain,
( spl29_242
| ~ spl29_7
| ~ spl29_117 ),
inference(avatar_split_clause,[],[f1206,f1186,f599,f2348]) ).
tff(f2348,plain,
( spl29_242
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_242])]) ).
tff(f1206,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl29_7
| ~ spl29_117 ),
inference(superposition,[],[f1187,f601]) ).
tff(f2346,plain,
( spl29_241
| ~ spl29_8
| ~ spl29_117 ),
inference(avatar_split_clause,[],[f1204,f1186,f604,f2344]) ).
tff(f2344,plain,
( spl29_241
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_241])]) ).
tff(f1204,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl29_8
| ~ spl29_117 ),
inference(superposition,[],[f1187,f606]) ).
tff(f2342,plain,
( spl29_240
| ~ spl29_7
| ~ spl29_117 ),
inference(avatar_split_clause,[],[f1203,f1186,f599,f2340]) ).
tff(f2340,plain,
( spl29_240
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_240])]) ).
tff(f1203,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Emin_2E_3D_3D_3E,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl29_7
| ~ spl29_117 ),
inference(superposition,[],[f1187,f601]) ).
tff(f2338,plain,
( spl29_239
| ~ spl29_8
| ~ spl29_116 ),
inference(avatar_split_clause,[],[f1201,f1182,f604,f2336]) ).
tff(f2336,plain,
( spl29_239
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_239])]) ).
tff(f1201,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2ET)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2ET) )
| ~ spl29_8
| ~ spl29_116 ),
inference(superposition,[],[f1183,f606]) ).
tff(f2334,plain,
( spl29_238
| ~ spl29_7
| ~ spl29_116 ),
inference(avatar_split_clause,[],[f1200,f1182,f599,f2332]) ).
tff(f2332,plain,
( spl29_238
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_238])]) ).
tff(f1200,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,fo__c_2Ebool_2EF)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),c_2Ebool_2EF) )
| ~ spl29_7
| ~ spl29_116 ),
inference(superposition,[],[f1183,f601]) ).
tff(f2330,plain,
( spl29_237
| ~ spl29_8
| ~ spl29_116 ),
inference(avatar_split_clause,[],[f1198,f1182,f604,f2328]) ).
tff(f2328,plain,
( spl29_237
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_237])]) ).
tff(f1198,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2ET,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2ET),inj__o(X0)) )
| ~ spl29_8
| ~ spl29_116 ),
inference(superposition,[],[f1183,f606]) ).
tff(f2326,plain,
( spl29_236
| ~ spl29_7
| ~ spl29_116 ),
inference(avatar_split_clause,[],[f1197,f1182,f599,f2324]) ).
tff(f2324,plain,
( spl29_236
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_236])]) ).
tff(f1197,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(fo__c_2Ebool_2EF,X0)) = ap(ap(c_2Ebool_2E_5C_2F,c_2Ebool_2EF),inj__o(X0)) )
| ~ spl29_7
| ~ spl29_116 ),
inference(superposition,[],[f1183,f601]) ).
tff(f2322,plain,
( spl29_235
| ~ spl29_24
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1055,f957,f685,f2320]) ).
tff(f2320,plain,
( spl29_235
<=> ! [X0] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_2F_5C) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_235])]) ).
tff(f1055,plain,
( ! [X0: $i] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_2F_5C) = X0 )
| ~ spl29_24
| ~ spl29_79 ),
inference(resolution,[],[f958,f687]) ).
tff(f2318,plain,
( spl29_234
| ~ spl29_23
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1054,f957,f680,f2316]) ).
tff(f2316,plain,
( spl29_234
<=> ! [X0] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_5C_2F) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_234])]) ).
tff(f1054,plain,
( ! [X0: $i] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Ebool_2E_5C_2F) = X0 )
| ~ spl29_23
| ~ spl29_79 ),
inference(resolution,[],[f958,f682]) ).
tff(f2314,plain,
( spl29_233
| ~ spl29_22
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1053,f957,f675,f2312]) ).
tff(f2312,plain,
( spl29_233
<=> ! [X0] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Emin_2E_3D_3D_3E) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_233])]) ).
tff(f1053,plain,
( ! [X0: $i] : ( ap(k(arr(bool,arr(bool,bool)),X0),c_2Emin_2E_3D_3D_3E) = X0 )
| ~ spl29_22
| ~ spl29_79 ),
inference(resolution,[],[f958,f677]) ).
tff(f2310,plain,
( spl29_232
| ~ spl29_27
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1052,f957,f700,f2308]) ).
tff(f2308,plain,
( spl29_232
<=> ! [X0] : ( ap(k(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool)),X0),c_2Einteger_2Eint__divides) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_232])]) ).
tff(f1052,plain,
( ! [X0: $i] : ( ap(k(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool)),X0),c_2Einteger_2Eint__divides) = X0 )
| ~ spl29_27
| ~ spl29_79 ),
inference(resolution,[],[f958,f702]) ).
tff(f2306,plain,
( spl29_231
| ~ spl29_25
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1050,f957,f690,f2304]) ).
tff(f2304,plain,
( spl29_231
<=> ! [X0] : ( ap(k(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),X0),c_2Einteger_2Eint__add) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_231])]) ).
tff(f1050,plain,
( ! [X0: $i] : ( ap(k(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),X0),c_2Einteger_2Eint__add) = X0 )
| ~ spl29_25
| ~ spl29_79 ),
inference(resolution,[],[f958,f692]) ).
tff(f2302,plain,
( spl29_230
| ~ spl29_26
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1049,f957,f695,f2300]) ).
tff(f2300,plain,
( spl29_230
<=> ! [X0] : ( ap(k(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),X0),c_2Einteger_2Eint__sub) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_230])]) ).
tff(f1049,plain,
( ! [X0: $i] : ( ap(k(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),X0),c_2Einteger_2Eint__sub) = X0 )
| ~ spl29_26
| ~ spl29_79 ),
inference(resolution,[],[f958,f697]) ).
tff(f2298,plain,
( spl29_229
| ~ spl29_48
| ~ spl29_72 ),
inference(avatar_split_clause,[],[f924,f892,f786,f2296]) ).
tff(f2296,plain,
( spl29_229
<=> ! [X0: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| p(inj__o(X0))
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_229])]) ).
tff(f786,plain,
( spl29_48
<=> ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_48])]) ).
tff(f924,plain,
( ! [X0: tp__o] :
( p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| p(inj__o(X0))
| ~ mem(inj__o(X0),bool) )
| ~ spl29_48
| ~ spl29_72 ),
inference(superposition,[],[f893,f787]) ).
tff(f787,plain,
( ! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) )
| ~ spl29_48 ),
inference(avatar_component_clause,[],[f786]) ).
tff(f2294,plain,
( spl29_228
| ~ spl29_48
| ~ spl29_71 ),
inference(avatar_split_clause,[],[f919,f888,f786,f2292]) ).
tff(f2292,plain,
( spl29_228
<=> ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_228])]) ).
tff(f919,plain,
( ! [X0: tp__o] :
( ~ p(inj__o(fo__c_2Ebool_2E_7E(X0)))
| ~ p(inj__o(X0))
| ~ mem(inj__o(X0),bool) )
| ~ spl29_48
| ~ spl29_71 ),
inference(superposition,[],[f889,f787]) ).
tff(f2270,plain,
( spl29_227
| ~ spl29_11
| ~ spl29_203 ),
inference(avatar_split_clause,[],[f2079,f2076,f619,f2267]) ).
tff(f2267,plain,
( spl29_227
<=> sP1(c_2Ebool_2E_7E,bool,c_2Ebool_2E_7E) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_227])]) ).
tff(f2076,plain,
( spl29_203
<=> ! [X0] :
( sP1(X0,bool,c_2Ebool_2E_7E)
| ~ mem(X0,arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_203])]) ).
tff(f2079,plain,
( sP1(c_2Ebool_2E_7E,bool,c_2Ebool_2E_7E)
| ~ spl29_11
| ~ spl29_203 ),
inference(resolution,[],[f2077,f621]) ).
tff(f2077,plain,
( ! [X0: $i] :
( ~ mem(X0,arr(bool,bool))
| sP1(X0,bool,c_2Ebool_2E_7E) )
| ~ spl29_203 ),
inference(avatar_component_clause,[],[f2076]) ).
tff(f2204,plain,
( spl29_225
| spl29_226
| ~ spl29_11
| ~ spl29_157 ),
inference(avatar_split_clause,[],[f1702,f1686,f619,f2201,f2197]) ).
tff(f2197,plain,
( spl29_225
<=> p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_225])]) ).
tff(f2201,plain,
( spl29_226
<=> mem(sK21(bool,c_2Ebool_2E_7E),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_226])]) ).
tff(f1702,plain,
( mem(sK21(bool,c_2Ebool_2E_7E),bool)
| p(ap(c_2Ebool_2E_21(bool),c_2Ebool_2E_7E))
| ~ spl29_11
| ~ spl29_157 ),
inference(resolution,[],[f1687,f621]) ).
tff(f2195,plain,
( spl29_224
| ~ spl29_24
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1333,f1227,f685,f2193]) ).
tff(f2193,plain,
( spl29_224
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_2F_5C,X0),arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_224])]) ).
tff(f1333,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_2F_5C,X0),arr(bool,bool)) )
| ~ spl29_24
| ~ spl29_122 ),
inference(resolution,[],[f1228,f687]) ).
tff(f2188,plain,
( spl29_223
| ~ spl29_23
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1332,f1227,f680,f2186]) ).
tff(f2186,plain,
( spl29_223
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_5C_2F,X0),arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_223])]) ).
tff(f1332,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_5C_2F,X0),arr(bool,bool)) )
| ~ spl29_23
| ~ spl29_122 ),
inference(resolution,[],[f1228,f682]) ).
tff(f2184,plain,
( spl29_222
| ~ spl29_22
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1331,f1227,f675,f2182]) ).
tff(f2182,plain,
( spl29_222
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(bool,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_222])]) ).
tff(f1331,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(ap(c_2Emin_2E_3D_3D_3E,X0),arr(bool,bool)) )
| ~ spl29_22
| ~ spl29_122 ),
inference(resolution,[],[f1228,f677]) ).
tff(f2180,plain,
( spl29_221
| ~ spl29_27
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1330,f1227,f700,f2178]) ).
tff(f2178,plain,
( spl29_221
<=> ! [X0] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__divides,X0),arr(ty_2Einteger_2Eint,bool)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_221])]) ).
tff(f1330,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__divides,X0),arr(ty_2Einteger_2Eint,bool)) )
| ~ spl29_27
| ~ spl29_122 ),
inference(resolution,[],[f1228,f702]) ).
tff(f2176,plain,
( spl29_220
| ~ spl29_25
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1328,f1227,f690,f2174]) ).
tff(f2174,plain,
( spl29_220
<=> ! [X0] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__add,X0),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_220])]) ).
tff(f1328,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__add,X0),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) )
| ~ spl29_25
| ~ spl29_122 ),
inference(resolution,[],[f1228,f692]) ).
tff(f2172,plain,
( spl29_219
| ~ spl29_26
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1327,f1227,f695,f2170]) ).
tff(f2170,plain,
( spl29_219
<=> ! [X0] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__sub,X0),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_219])]) ).
tff(f1327,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__sub,X0),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)) )
| ~ spl29_26
| ~ spl29_122 ),
inference(resolution,[],[f1228,f697]) ).
tff(f2160,plain,
( spl29_218
| ~ spl29_4
| ~ spl29_5
| ~ spl29_121 ),
inference(avatar_split_clause,[],[f1323,f1223,f589,f584,f2158]) ).
tff(f2158,plain,
( spl29_218
<=> ! [X0] :
( ~ p(X0)
| ~ mem(X0,bool)
| ( c_2Ebool_2ET = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_218])]) ).
tff(f1323,plain,
( ! [X0: $i] :
( ~ p(c_2Ebool_2ET)
| ~ p(X0)
| ( c_2Ebool_2ET = X0 )
| ~ mem(X0,bool) )
| ~ spl29_5
| ~ spl29_121 ),
inference(resolution,[],[f1224,f591]) ).
tff(f2148,plain,
( spl29_217
| spl29_3
| ~ spl29_6
| ~ spl29_120 ),
inference(avatar_split_clause,[],[f1321,f1219,f594,f579,f2146]) ).
tff(f2146,plain,
( spl29_217
<=> ! [X0] :
( p(X0)
| ~ mem(X0,bool)
| ( c_2Ebool_2EF = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_217])]) ).
tff(f594,plain,
( spl29_6
<=> mem(c_2Ebool_2EF,bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).
tff(f1321,plain,
( ! [X0: $i] :
( p(c_2Ebool_2EF)
| p(X0)
| ( c_2Ebool_2EF = X0 )
| ~ mem(X0,bool) )
| ~ spl29_6
| ~ spl29_120 ),
inference(resolution,[],[f1220,f596]) ).
tff(f596,plain,
( mem(c_2Ebool_2EF,bool)
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f594]) ).
tff(f2144,plain,
( spl29_216
| ~ spl29_61
| ~ spl29_99 ),
inference(avatar_split_clause,[],[f1099,f1037,f838,f2142]) ).
tff(f2142,plain,
( spl29_216
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP12(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_216])]) ).
tff(f1037,plain,
( spl29_99
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_99])]) ).
tff(f1099,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP12(X2,X0,X1) )
| ~ spl29_61
| ~ spl29_99 ),
inference(resolution,[],[f1038,f839]) ).
tff(f1038,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) )
| ~ spl29_99 ),
inference(avatar_component_clause,[],[f1037]) ).
tff(f2140,plain,
( spl29_215
| spl29_18
| ~ spl29_194 ),
inference(avatar_split_clause,[],[f2020,f2009,f656,f2137]) ).
tff(f2020,plain,
( sP2(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)),fo__c_2Ebool_2ET)
| spl29_18
| ~ spl29_194 ),
inference(resolution,[],[f2010,f658]) ).
tff(f2135,plain,
( spl29_214
| ~ spl29_61
| ~ spl29_98 ),
inference(avatar_split_clause,[],[f1095,f1033,f838,f2133]) ).
tff(f2133,plain,
( spl29_214
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| sP12(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_214])]) ).
tff(f1033,plain,
( spl29_98
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_98])]) ).
tff(f1095,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| sP12(X0,X2,X1) )
| ~ spl29_61
| ~ spl29_98 ),
inference(resolution,[],[f1034,f839]) ).
tff(f1034,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl29_98 ),
inference(avatar_component_clause,[],[f1033]) ).
tff(f2131,plain,
( spl29_213
| ~ spl29_58
| ~ spl29_92 ),
inference(avatar_split_clause,[],[f1077,f1009,f826,f2129]) ).
tff(f2129,plain,
( spl29_213
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP9(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_213])]) ).
tff(f1009,plain,
( spl29_92
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_92])]) ).
tff(f1077,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP9(X2,X0,X1) )
| ~ spl29_58
| ~ spl29_92 ),
inference(resolution,[],[f1010,f827]) ).
tff(f1010,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) )
| ~ spl29_92 ),
inference(avatar_component_clause,[],[f1009]) ).
tff(f2127,plain,
( spl29_212
| ~ spl29_58
| ~ spl29_91 ),
inference(avatar_split_clause,[],[f1073,f1005,f826,f2125]) ).
tff(f2125,plain,
( spl29_212
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP9(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_212])]) ).
tff(f1005,plain,
( spl29_91
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_91])]) ).
tff(f1073,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| sP9(X0,X2,X1) )
| ~ spl29_58
| ~ spl29_91 ),
inference(resolution,[],[f1006,f827]) ).
tff(f1006,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) )
| ~ spl29_91 ),
inference(avatar_component_clause,[],[f1005]) ).
tff(f2123,plain,
( spl29_211
| ~ spl29_55
| ~ spl29_86 ),
inference(avatar_split_clause,[],[f1069,f985,f814,f2121]) ).
tff(f2121,plain,
( spl29_211
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| sP6(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_211])]) ).
tff(f985,plain,
( spl29_86
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_86])]) ).
tff(f1069,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| sP6(X1,X0,X2) )
| ~ spl29_55
| ~ spl29_86 ),
inference(resolution,[],[f986,f815]) ).
tff(f986,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X2)) )
| ~ spl29_86 ),
inference(avatar_component_clause,[],[f985]) ).
tff(f2119,plain,
( spl29_210
| ~ spl29_55
| ~ spl29_85 ),
inference(avatar_split_clause,[],[f1065,f981,f814,f2117]) ).
tff(f2117,plain,
( spl29_210
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| sP6(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_210])]) ).
tff(f981,plain,
( spl29_85
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| p(inj__o(X1))
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_85])]) ).
tff(f1065,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| sP6(X1,X2,X0) )
| ~ spl29_55
| ~ spl29_85 ),
inference(resolution,[],[f982,f815]) ).
tff(f982,plain,
( ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| p(inj__o(X1))
| p(inj__o(X2)) )
| ~ spl29_85 ),
inference(avatar_component_clause,[],[f981]) ).
tff(f2115,plain,
( spl29_209
| ~ spl29_24
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f937,f896,f685,f2112]) ).
tff(f2112,plain,
( spl29_209
<=> ( c_2Ebool_2E_2F_5C = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_2F_5C) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_209])]) ).
tff(f937,plain,
( ( c_2Ebool_2E_2F_5C = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_2F_5C) )
| ~ spl29_24
| ~ spl29_73 ),
inference(resolution,[],[f897,f687]) ).
tff(f2110,plain,
( spl29_208
| ~ spl29_23
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f936,f896,f680,f2107]) ).
tff(f2107,plain,
( spl29_208
<=> ( c_2Ebool_2E_5C_2F = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_5C_2F) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_208])]) ).
tff(f936,plain,
( ( c_2Ebool_2E_5C_2F = ap(i(arr(bool,arr(bool,bool))),c_2Ebool_2E_5C_2F) )
| ~ spl29_23
| ~ spl29_73 ),
inference(resolution,[],[f897,f682]) ).
tff(f2105,plain,
( spl29_207
| ~ spl29_22
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f935,f896,f675,f2102]) ).
tff(f2102,plain,
( spl29_207
<=> ( c_2Emin_2E_3D_3D_3E = ap(i(arr(bool,arr(bool,bool))),c_2Emin_2E_3D_3D_3E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_207])]) ).
tff(f935,plain,
( ( c_2Emin_2E_3D_3D_3E = ap(i(arr(bool,arr(bool,bool))),c_2Emin_2E_3D_3D_3E) )
| ~ spl29_22
| ~ spl29_73 ),
inference(resolution,[],[f897,f677]) ).
tff(f2100,plain,
( spl29_206
| ~ spl29_27
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f934,f896,f700,f2097]) ).
tff(f2097,plain,
( spl29_206
<=> ( c_2Einteger_2Eint__divides = ap(i(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),c_2Einteger_2Eint__divides) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_206])]) ).
tff(f934,plain,
( ( c_2Einteger_2Eint__divides = ap(i(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),c_2Einteger_2Eint__divides) )
| ~ spl29_27
| ~ spl29_73 ),
inference(resolution,[],[f897,f702]) ).
tff(f2095,plain,
( spl29_205
| ~ spl29_25
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f932,f896,f690,f2092]) ).
tff(f2092,plain,
( spl29_205
<=> ( c_2Einteger_2Eint__add = ap(i(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),c_2Einteger_2Eint__add) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_205])]) ).
tff(f932,plain,
( ( c_2Einteger_2Eint__add = ap(i(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),c_2Einteger_2Eint__add) )
| ~ spl29_25
| ~ spl29_73 ),
inference(resolution,[],[f897,f692]) ).
tff(f2087,plain,
( spl29_204
| ~ spl29_26
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f931,f896,f695,f2084]) ).
tff(f2084,plain,
( spl29_204
<=> ( c_2Einteger_2Eint__sub = ap(i(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),c_2Einteger_2Eint__sub) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_204])]) ).
tff(f931,plain,
( ( c_2Einteger_2Eint__sub = ap(i(arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),c_2Einteger_2Eint__sub) )
| ~ spl29_26
| ~ spl29_73 ),
inference(resolution,[],[f897,f697]) ).
tff(f2078,plain,
( spl29_203
| ~ spl29_11
| ~ spl29_153 ),
inference(avatar_split_clause,[],[f1671,f1466,f619,f2076]) ).
tff(f1671,plain,
( ! [X0: $i] :
( sP1(X0,bool,c_2Ebool_2E_7E)
| ~ mem(X0,arr(bool,bool)) )
| ~ spl29_11
| ~ spl29_153 ),
inference(resolution,[],[f1467,f621]) ).
tff(f2074,plain,
( spl29_202
| ~ spl29_11
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1056,f957,f619,f2072]) ).
tff(f2072,plain,
( spl29_202
<=> ! [X0] : ( ap(k(arr(bool,bool),X0),c_2Ebool_2E_7E) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_202])]) ).
tff(f1056,plain,
( ! [X0: $i] : ( ap(k(arr(bool,bool),X0),c_2Ebool_2E_7E) = X0 )
| ~ spl29_11
| ~ spl29_79 ),
inference(resolution,[],[f958,f621]) ).
tff(f2070,plain,
( spl29_201
| ~ spl29_12
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1051,f957,f624,f2068]) ).
tff(f2068,plain,
( spl29_201
<=> ! [X0] : ( ap(k(arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint),X0),c_2Einteger_2Eint__neg) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_201])]) ).
tff(f1051,plain,
( ! [X0: $i] : ( ap(k(arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint),X0),c_2Einteger_2Eint__neg) = X0 )
| ~ spl29_12
| ~ spl29_79 ),
inference(resolution,[],[f958,f626]) ).
tff(f2056,plain,
( spl29_200
| spl29_18
| ~ spl29_193 ),
inference(avatar_split_clause,[],[f2000,f1994,f656,f2053]) ).
tff(f2053,plain,
( spl29_200
<=> sP3(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)),fo__c_2Ebool_2ET) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_200])]) ).
tff(f2000,plain,
( sP3(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)),fo__c_2Ebool_2ET)
| spl29_18
| ~ spl29_193 ),
inference(resolution,[],[f1995,f658]) ).
tff(f2043,plain,
( spl29_199
| ~ spl29_11
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1334,f1227,f619,f2041]) ).
tff(f2041,plain,
( spl29_199
<=> ! [X0] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_7E,X0),bool) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_199])]) ).
tff(f1334,plain,
( ! [X0: $i] :
( ~ mem(X0,bool)
| mem(ap(c_2Ebool_2E_7E,X0),bool) )
| ~ spl29_11
| ~ spl29_122 ),
inference(resolution,[],[f1228,f621]) ).
tff(f2039,plain,
( spl29_198
| ~ spl29_12
| ~ spl29_122 ),
inference(avatar_split_clause,[],[f1329,f1227,f624,f2037]) ).
tff(f2037,plain,
( spl29_198
<=> ! [X0] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__neg,X0),ty_2Einteger_2Eint) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_198])]) ).
tff(f1329,plain,
( ! [X0: $i] :
( ~ mem(X0,ty_2Einteger_2Eint)
| mem(ap(c_2Einteger_2Eint__neg,X0),ty_2Einteger_2Eint) )
| ~ spl29_12
| ~ spl29_122 ),
inference(resolution,[],[f1228,f626]) ).
tff(f2035,plain,
( spl29_197
| ~ spl29_9
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1047,f957,f609,f2033]) ).
tff(f2033,plain,
( spl29_197
<=> ! [X0,X1: tp__ty_2Einteger_2Eint] : ( ap(k(ty_2Einteger_2Eint,X0),inj__ty_2Einteger_2Eint(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_197])]) ).
tff(f609,plain,
( spl29_9
<=> ! [X0: tp__ty_2Einteger_2Eint] : mem(inj__ty_2Einteger_2Eint(X0),ty_2Einteger_2Eint) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_9])]) ).
tff(f1047,plain,
( ! [X0: $i,X1: tp__ty_2Einteger_2Eint] : ( ap(k(ty_2Einteger_2Eint,X0),inj__ty_2Einteger_2Eint(X1)) = X0 )
| ~ spl29_9
| ~ spl29_79 ),
inference(resolution,[],[f958,f610]) ).
tff(f610,plain,
( ! [X0: tp__ty_2Einteger_2Eint] : mem(inj__ty_2Einteger_2Eint(X0),ty_2Einteger_2Eint)
| ~ spl29_9 ),
inference(avatar_component_clause,[],[f609]) ).
tff(f2031,plain,
( spl29_196
| ~ spl29_10
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1046,f957,f613,f2029]) ).
tff(f2029,plain,
( spl29_196
<=> ! [X0,X1: tp__o] : ( ap(k(bool,X0),inj__o(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_196])]) ).
tff(f1046,plain,
( ! [X0: $i,X1: tp__o] : ( ap(k(bool,X0),inj__o(X1)) = X0 )
| ~ spl29_10
| ~ spl29_79 ),
inference(resolution,[],[f958,f614]) ).
tff(f2016,plain,
( spl29_195
| spl29_18
| ~ spl29_192 ),
inference(avatar_split_clause,[],[f1985,f1979,f656,f2013]) ).
tff(f2013,plain,
( spl29_195
<=> sP3(fo__c_2Ebool_2ET,fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_195])]) ).
tff(f1985,plain,
( sP3(fo__c_2Ebool_2ET,fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19)))
| spl29_18
| ~ spl29_192 ),
inference(resolution,[],[f1980,f658]) ).
tff(f2011,plain,
( spl29_194
| ~ spl29_4
| ~ spl29_8
| ~ spl29_78 ),
inference(avatar_split_clause,[],[f954,f916,f604,f584,f2009]) ).
tff(f954,plain,
( ! [X0: tp__o] :
( ~ p(c_2Ebool_2ET)
| p(inj__o(X0))
| sP2(X0,fo__c_2Ebool_2ET) )
| ~ spl29_8
| ~ spl29_78 ),
inference(superposition,[],[f917,f606]) ).
tff(f1996,plain,
( spl29_193
| ~ spl29_4
| ~ spl29_8
| ~ spl29_77 ),
inference(avatar_split_clause,[],[f949,f912,f604,f584,f1994]) ).
tff(f949,plain,
( ! [X0: tp__o] :
( ~ p(c_2Ebool_2ET)
| p(inj__o(X0))
| sP3(X0,fo__c_2Ebool_2ET) )
| ~ spl29_8
| ~ spl29_77 ),
inference(superposition,[],[f913,f606]) ).
tff(f1981,plain,
( spl29_192
| ~ spl29_4
| ~ spl29_8
| ~ spl29_76 ),
inference(avatar_split_clause,[],[f944,f908,f604,f584,f1979]) ).
tff(f944,plain,
( ! [X0: tp__o] :
( ~ p(c_2Ebool_2ET)
| p(inj__o(X0))
| sP3(fo__c_2Ebool_2ET,X0) )
| ~ spl29_8
| ~ spl29_76 ),
inference(superposition,[],[f909,f606]) ).
tff(f1977,plain,
( spl29_191
| ~ spl29_11
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f938,f896,f619,f1974]) ).
tff(f1974,plain,
( spl29_191
<=> ( c_2Ebool_2E_7E = ap(i(arr(bool,bool)),c_2Ebool_2E_7E) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_191])]) ).
tff(f938,plain,
( ( c_2Ebool_2E_7E = ap(i(arr(bool,bool)),c_2Ebool_2E_7E) )
| ~ spl29_11
| ~ spl29_73 ),
inference(resolution,[],[f897,f621]) ).
tff(f1972,plain,
( spl29_190
| ~ spl29_12
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f933,f896,f624,f1969]) ).
tff(f1969,plain,
( spl29_190
<=> ( c_2Einteger_2Eint__neg = ap(i(arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),c_2Einteger_2Eint__neg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_190])]) ).
tff(f933,plain,
( ( c_2Einteger_2Eint__neg = ap(i(arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),c_2Einteger_2Eint__neg) )
| ~ spl29_12
| ~ spl29_73 ),
inference(resolution,[],[f897,f626]) ).
tff(f1967,plain,
( spl29_189
| ~ spl29_9
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f929,f896,f609,f1965]) ).
tff(f1965,plain,
( spl29_189
<=> ! [X0: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(X0) = ap(i(ty_2Einteger_2Eint),inj__ty_2Einteger_2Eint(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_189])]) ).
tff(f929,plain,
( ! [X0: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(X0) = ap(i(ty_2Einteger_2Eint),inj__ty_2Einteger_2Eint(X0)) )
| ~ spl29_9
| ~ spl29_73 ),
inference(resolution,[],[f897,f610]) ).
tff(f1963,plain,
( spl29_188
| ~ spl29_10
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f928,f896,f613,f1961]) ).
tff(f1961,plain,
( spl29_188
<=> ! [X0: tp__o] : ( inj__o(X0) = ap(i(bool),inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_188])]) ).
tff(f928,plain,
( ! [X0: tp__o] : ( inj__o(X0) = ap(i(bool),inj__o(X0)) )
| ~ spl29_10
| ~ spl29_73 ),
inference(resolution,[],[f897,f614]) ).
tff(f1959,plain,
( spl29_187
| ~ spl29_10
| ~ spl29_70 ),
inference(avatar_split_clause,[],[f1935,f883,f613,f1956]) ).
tff(f1956,plain,
( spl29_187
<=> mem(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_187])]) ).
tff(f883,plain,
( spl29_70
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_70])]) ).
tff(f1935,plain,
( mem(ap(c_2Ebool_2E_7E,c_2Ebool_2ET),bool)
| ~ spl29_10
| ~ spl29_70 ),
inference(superposition,[],[f614,f885]) ).
tff(f885,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl29_70 ),
inference(avatar_component_clause,[],[f883]) ).
tff(f1954,plain,
( spl29_186
| ~ spl29_6
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1045,f957,f594,f1952]) ).
tff(f1952,plain,
( spl29_186
<=> ! [X0] : ( ap(k(bool,X0),c_2Ebool_2EF) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_186])]) ).
tff(f1045,plain,
( ! [X0: $i] : ( ap(k(bool,X0),c_2Ebool_2EF) = X0 )
| ~ spl29_6
| ~ spl29_79 ),
inference(resolution,[],[f958,f596]) ).
tff(f1950,plain,
( spl29_185
| ~ spl29_5
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1044,f957,f589,f1948]) ).
tff(f1948,plain,
( spl29_185
<=> ! [X0] : ( ap(k(bool,X0),c_2Ebool_2ET) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_185])]) ).
tff(f1044,plain,
( ! [X0: $i] : ( ap(k(bool,X0),c_2Ebool_2ET) = X0 )
| ~ spl29_5
| ~ spl29_79 ),
inference(resolution,[],[f958,f591]) ).
tff(f1932,plain,
spl29_184,
inference(avatar_split_clause,[],[f440,f1930]) ).
tff(f1930,plain,
( spl29_184
<=> ! [X0: del,X3,X2,X1: del] :
( ( X2 = X3 )
| ( ap(X2,sK28(X0,X2,X3)) != ap(X3,sK28(X0,X2,X3)) )
| ~ mem(X3,arr(X0,X1))
| ~ mem(X2,arr(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_184])]) ).
tff(f440,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ( X2 = X3 )
| ( ap(X2,sK28(X0,X2,X3)) != ap(X3,sK28(X0,X2,X3)) )
| ~ mem(X3,arr(X0,X1))
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f256]) ).
tff(f256,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( ( X2 = X3 )
| ( ( ap(X2,sK28(X0,X2,X3)) != ap(X3,sK28(X0,X2,X3)) )
& mem(sK28(X0,X2,X3),X0) )
| ~ mem(X3,arr(X0,X1)) )
| ~ mem(X2,arr(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f169,f255]) ).
tff(f255,plain,
! [X0: del,X2,X3] :
( ? [X4] :
( ( ap(X2,X4) != ap(X3,X4) )
& mem(X4,X0) )
=> ( ( ap(X2,sK28(X0,X2,X3)) != ap(X3,sK28(X0,X2,X3)) )
& mem(sK28(X0,X2,X3),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f169,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( ( X2 = X3 )
| ? [X4] :
( ( ap(X2,X4) != ap(X3,X4) )
& mem(X4,X0) )
| ~ mem(X3,arr(X0,X1)) )
| ~ mem(X2,arr(X0,X1)) ),
inference(flattening,[],[f168]) ).
tff(f168,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( ( X2 = X3 )
| ? [X4] :
( ( ap(X2,X4) != ap(X3,X4) )
& mem(X4,X0) )
| ~ mem(X3,arr(X0,X1)) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f134]) ).
tff(f134,plain,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,arr(X0,X1))
=> ( ! [X4] :
( mem(X4,X0)
=> ( ap(X2,X4) = ap(X3,X4) ) )
=> ( X2 = X3 ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X6] :
( mem(X6,arr(X0,X1))
=> ( ! [X3] :
( mem(X3,X0)
=> ( ap(X2,X3) = ap(X6,X3) ) )
=> ( X2 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcext) ).
tff(f1922,plain,
spl29_183,
inference(avatar_split_clause,[],[f399,f1920]) ).
tff(f399,plain,
! [X2: $i,X0: $i,X1: del] :
( sP0(X2,X1,X0)
| ~ p(ap(X2,sK25(X0,X1,X2)))
| ~ p(ap(X0,sK25(X0,X1,X2)))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f236]) ).
tff(f236,plain,
! [X0,X1: del,X2] :
( ( ( ! [X3] :
( ( p(ap(X2,X3))
& p(ap(X0,X3)) )
| ~ mem(X3,X1) )
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| ( ( ~ p(ap(X2,sK25(X0,X1,X2)))
| ~ p(ap(X0,sK25(X0,X1,X2))) )
& mem(sK25(X0,X1,X2),X1) ) ) )
| ~ sP1(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f234,f235]) ).
tff(f235,plain,
! [X0,X1: del,X2] :
( ? [X4] :
( ( ~ p(ap(X2,X4))
| ~ p(ap(X0,X4)) )
& mem(X4,X1) )
=> ( ( ~ p(ap(X2,sK25(X0,X1,X2)))
| ~ p(ap(X0,sK25(X0,X1,X2))) )
& mem(sK25(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f234,plain,
! [X0,X1: del,X2] :
( ( ( ! [X3] :
( ( p(ap(X2,X3))
& p(ap(X0,X3)) )
| ~ mem(X3,X1) )
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| ? [X4] :
( ( ~ p(ap(X2,X4))
| ~ p(ap(X0,X4)) )
& mem(X4,X1) ) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f233]) ).
tff(f233,plain,
! [X1,X0: del,X2] :
( ( ( ! [X3] :
( ( p(ap(X2,X3))
& p(ap(X1,X3)) )
| ~ mem(X3,X0) )
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| ? [X3] :
( ( ~ p(ap(X2,X3))
| ~ p(ap(X1,X3)) )
& mem(X3,X0) ) ) )
| ~ sP1(X1,X0,X2) ),
inference(nnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X1,X0: del,X2] :
( ( ! [X3] :
( ( p(ap(X2,X3))
& p(ap(X1,X3)) )
| ~ mem(X3,X0) )
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f1918,plain,
( spl29_182
| ~ spl29_6
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f927,f896,f594,f1915]) ).
tff(f1915,plain,
( spl29_182
<=> ( c_2Ebool_2EF = ap(i(bool),c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_182])]) ).
tff(f927,plain,
( ( c_2Ebool_2EF = ap(i(bool),c_2Ebool_2EF) )
| ~ spl29_6
| ~ spl29_73 ),
inference(resolution,[],[f897,f596]) ).
tff(f1889,plain,
spl29_181,
inference(avatar_split_clause,[],[f512,f1887]) ).
tff(f512,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP17(X0,X1,X2)
| p(inj__o(X0))
| ~ sP15(X0,X2,X1)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) ),
inference(cnf_transformation,[],[f291]) ).
tff(f291,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP17(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) )
| ~ sP15(X0,X2,X1)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) )
& ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
& sP15(X0,X2,X1)
& sP14(X1,X2,X0)
& sP13(X2,X1,X0) )
| ~ sP17(X0,X1,X2) ) ),
inference(flattening,[],[f290]) ).
tff(f290,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP17(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) )
| ~ sP15(X0,X2,X1)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) )
& ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
& sP15(X0,X2,X1)
& sP14(X1,X2,X0)
& sP13(X2,X1,X0) )
| ~ sP17(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f195]) ).
tff(f195,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP17(X0,X1,X2)
<=> ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
& sP15(X0,X2,X1)
& sP14(X1,X2,X0)
& sP13(X2,X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
tff(f1885,plain,
spl29_180,
inference(avatar_split_clause,[],[f511,f1883]) ).
tff(f511,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP17(X0,X1,X2)
| p(inj__o(X1))
| ~ sP15(X0,X2,X1)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) ),
inference(cnf_transformation,[],[f291]) ).
tff(f1881,plain,
spl29_179,
inference(avatar_split_clause,[],[f510,f1879]) ).
tff(f510,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP17(X0,X1,X2)
| ~ p(inj__o(X2))
| ~ sP15(X0,X2,X1)
| ~ sP14(X1,X2,X0)
| ~ sP13(X2,X1,X0) ),
inference(cnf_transformation,[],[f291]) ).
tff(f1877,plain,
spl29_178,
inference(avatar_split_clause,[],[f439,f1875]) ).
tff(f439,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ( X2 = X3 )
| mem(sK28(X0,X2,X3),X0)
| ~ mem(X3,arr(X0,X1))
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f256]) ).
tff(f1861,plain,
( spl29_177
| ~ spl29_5
| ~ spl29_73 ),
inference(avatar_split_clause,[],[f926,f896,f589,f1858]) ).
tff(f1858,plain,
( spl29_177
<=> ( c_2Ebool_2ET = ap(i(bool),c_2Ebool_2ET) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_177])]) ).
tff(f926,plain,
( ( c_2Ebool_2ET = ap(i(bool),c_2Ebool_2ET) )
| ~ spl29_5
| ~ spl29_73 ),
inference(resolution,[],[f897,f591]) ).
tff(f1856,plain,
spl29_176,
inference(avatar_split_clause,[],[f397,f1854]) ).
tff(f397,plain,
! [X3: $i,X0: del,X1: $i] :
( ~ p(ap(X1,sK23(X0,X1)))
| p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f232]) ).
tff(f232,plain,
! [X0: del,X1] :
( ( ( ( ~ p(ap(X1,sK23(X0,X1)))
& mem(sK23(X0,X1),X0) )
| ! [X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0) ) )
& ( ( ~ p(ap(X1,sK24(X0,X1)))
& mem(sK24(X0,X1),X0) )
| ! [X5] :
( p(ap(X1,X5))
| ~ mem(X5,X0) ) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f229,f231,f230]) ).
tff(f230,plain,
! [X0: del,X1] :
( ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) )
=> ( ~ p(ap(X1,sK23(X0,X1)))
& mem(sK23(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f231,plain,
! [X0: del,X1] :
( ? [X4] :
( ~ p(ap(X1,X4))
& mem(X4,X0) )
=> ( ~ p(ap(X1,sK24(X0,X1)))
& mem(sK24(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f229,plain,
! [X0: del,X1] :
( ( ( ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) )
| ! [X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0) ) )
& ( ? [X4] :
( ~ p(ap(X1,X4))
& mem(X4,X0) )
| ! [X5] :
( p(ap(X1,X5))
| ~ mem(X5,X0) ) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(rectify,[],[f228]) ).
tff(f228,plain,
! [X0: del,X1] :
( ( ( ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) )
| ! [X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0) ) )
& ( ? [X3] :
( ~ p(ap(X1,X3))
& mem(X3,X0) )
| ! [X2] :
( p(ap(X1,X2))
| ~ mem(X2,X0) ) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(nnf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: del,X1] :
( ( ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) )
<=> ? [X3] :
( ~ p(ap(X1,X3))
& mem(X3,X0) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> ( ~ ! [X2] :
( mem(X2,X0)
=> p(ap(X1,X2)) )
<=> ? [X3] :
( ~ p(ap(X1,X3))
& mem(X3,X0) ) ) ),
inference(rectify,[],[f51]) ).
tff(f51,axiom,
! [X8: del,X14] :
( mem(X14,arr(X8,bool))
=> ( ~ ! [X15] :
( mem(X15,X8)
=> p(ap(X14,X15)) )
<=> ? [X16] :
( ~ p(ap(X14,X16))
& mem(X16,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2ENOT__FORALL__THM) ).
tff(f1852,plain,
spl29_175,
inference(avatar_split_clause,[],[f395,f1850]) ).
tff(f395,plain,
! [X0: del,X1: $i,X5: $i] :
( ~ p(ap(X1,sK24(X0,X1)))
| p(ap(X1,X5))
| ~ mem(X5,X0)
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f232]) ).
tff(f1820,plain,
spl29_174,
inference(avatar_split_clause,[],[f566,f1818]) ).
tff(f566,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2))) ),
inference(forward_demodulation,[],[f565,f371]) ).
tff(f371,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) = inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)) ),
inference(cnf_transformation,[],[f114]) ).
tff(f114,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) = inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X9: tp__ty_2Einteger_2Eint,X10: tp__ty_2Einteger_2Eint] : ( inj__o(fo__c_2Einteger_2Eint__divides(X9,X10)) = ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X9)),inj__ty_2Einteger_2Eint(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__divides) ).
tff(f565,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f564,f371]) ).
tff(f564,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X2,X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f563,f367]) ).
tff(f367,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X0,X1)) = ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ),
inference(cnf_transformation,[],[f110]) ).
tff(f110,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X0,X1)) = ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X9: tp__ty_2Einteger_2Eint,X10: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X9,X10)) = ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X9)),inj__ty_2Einteger_2Eint(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__add) ).
tff(f563,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f441,f371]) ).
tff(f441,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f257]) ).
tff(f257,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))) ) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(nnf_transformation,[],[f170]) ).
tff(f170,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2))) )
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(ennf_transformation,[],[f135]) ).
tff(f135,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2))) ) ),
inference(rectify,[],[f57]) ).
tff(f57,axiom,
! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint,X27: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X27)),inj__ty_2Einteger_2Eint(X26))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X27))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).
tff(f1816,plain,
spl29_173,
inference(avatar_split_clause,[],[f562,f1814]) ).
tff(f562,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1)))) ),
inference(forward_demodulation,[],[f561,f371]) ).
tff(f561,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X2)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f560,f371]) ).
tff(f560,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__add(X2,X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f559,f371]) ).
tff(f559,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X2,X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f442,f367]) ).
tff(f442,plain,
! [X2: tp__ty_2Einteger_2Eint,X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f257]) ).
tff(f1806,plain,
spl29_172,
inference(avatar_split_clause,[],[f396,f1804]) ).
tff(f396,plain,
! [X3: $i,X0: del,X1: $i] :
( mem(sK23(X0,X1),X0)
| p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f232]) ).
tff(f1802,plain,
spl29_171,
inference(avatar_split_clause,[],[f394,f1800]) ).
tff(f394,plain,
! [X0: del,X1: $i,X5: $i] :
( mem(sK24(X0,X1),X0)
| p(ap(X1,X5))
| ~ mem(X5,X0)
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f232]) ).
tff(f1798,plain,
spl29_170,
inference(avatar_split_clause,[],[f393,f1796]) ).
tff(f393,plain,
! [X2: $i,X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ p(ap(X1,X2))
| ~ mem(X2,X0)
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f227]) ).
tff(f227,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_3F(X0),X1))
| ! [X2] :
( ~ p(ap(X1,X2))
| ~ mem(X2,X0) ) )
& ( ( p(ap(X1,sK22(X0,X1)))
& mem(sK22(X0,X1),X0) )
| ~ p(ap(c_2Ebool_2E_3F(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f225,f226]) ).
tff(f226,plain,
! [X0: del,X1] :
( ? [X3] :
( p(ap(X1,X3))
& mem(X3,X0) )
=> ( p(ap(X1,sK22(X0,X1)))
& mem(sK22(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f225,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_3F(X0),X1))
| ! [X2] :
( ~ p(ap(X1,X2))
| ~ mem(X2,X0) ) )
& ( ? [X3] :
( p(ap(X1,X3))
& mem(X3,X0) )
| ~ p(ap(c_2Ebool_2E_3F(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(rectify,[],[f224]) ).
tff(f224,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_3F(X0),X1))
| ! [X2] :
( ~ p(ap(X1,X2))
| ~ mem(X2,X0) ) )
& ( ? [X2] :
( p(ap(X1,X2))
& mem(X2,X0) )
| ~ p(ap(c_2Ebool_2E_3F(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(nnf_transformation,[],[f159]) ).
tff(f159,plain,
! [X0: del,X1] :
( ( p(ap(c_2Ebool_2E_3F(X0),X1))
<=> ? [X2] :
( p(ap(X1,X2))
& mem(X2,X0) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f121]) ).
tff(f121,plain,
! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> ( p(ap(c_2Ebool_2E_3F(X0),X1))
<=> ? [X2] :
( p(ap(X1,X2))
& mem(X2,X0) ) ) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X0: del,X4] :
( mem(X4,arr(X0,bool))
=> ( p(ap(c_2Ebool_2E_3F(X0),X4))
<=> ? [X3] :
( p(ap(X4,X3))
& mem(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_ex_p) ).
tff(f1794,plain,
spl29_169,
inference(avatar_split_clause,[],[f388,f1792]) ).
tff(f388,plain,
! [X3: $i,X0: del,X1: $i] :
( p(ap(X1,X3))
| ~ mem(X3,X0)
| ~ p(ap(c_2Ebool_2E_21(X0),X1))
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f223]) ).
tff(f223,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
| ( ~ p(ap(X1,sK21(X0,X1)))
& mem(sK21(X0,X1),X0) ) )
& ( ! [X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0) )
| ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f221,f222]) ).
tff(f222,plain,
! [X0: del,X1] :
( ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) )
=> ( ~ p(ap(X1,sK21(X0,X1)))
& mem(sK21(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f221,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
| ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) ) )
& ( ! [X3] :
( p(ap(X1,X3))
| ~ mem(X3,X0) )
| ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(rectify,[],[f220]) ).
tff(f220,plain,
! [X0: del,X1] :
( ( ( p(ap(c_2Ebool_2E_21(X0),X1))
| ? [X2] :
( ~ p(ap(X1,X2))
& mem(X2,X0) ) )
& ( ! [X2] :
( p(ap(X1,X2))
| ~ mem(X2,X0) )
| ~ p(ap(c_2Ebool_2E_21(X0),X1)) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(nnf_transformation,[],[f158]) ).
tff(f158,plain,
! [X0: del,X1] :
( ( p(ap(c_2Ebool_2E_21(X0),X1))
<=> ! [X2] :
( p(ap(X1,X2))
| ~ mem(X2,X0) ) )
| ~ mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> ( p(ap(c_2Ebool_2E_21(X0),X1))
<=> ! [X2] :
( mem(X2,X0)
=> p(ap(X1,X2)) ) ) ),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X0: del,X4] :
( mem(X4,arr(X0,bool))
=> ( p(ap(c_2Ebool_2E_21(X0),X4))
<=> ! [X3] :
( mem(X3,X0)
=> p(ap(X4,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_all_p) ).
tff(f1759,plain,
( spl29_168
| ~ spl29_10
| ~ spl29_69 ),
inference(avatar_split_clause,[],[f922,f878,f613,f1756]) ).
tff(f1756,plain,
( spl29_168
<=> mem(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_168])]) ).
tff(f878,plain,
( spl29_69
<=> ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_69])]) ).
tff(f922,plain,
( mem(ap(c_2Ebool_2E_7E,c_2Ebool_2EF),bool)
| ~ spl29_10
| ~ spl29_69 ),
inference(superposition,[],[f614,f880]) ).
tff(f880,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ spl29_69 ),
inference(avatar_component_clause,[],[f878]) ).
tff(f1747,plain,
spl29_167,
inference(avatar_split_clause,[],[f407,f1745]) ).
tff(f407,plain,
! [X2: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| ~ p(ap(X0,sK26(X0,X1)))
| ~ p(ap(X2,sK27(X1,X2))) ),
inference(cnf_transformation,[],[f242]) ).
tff(f242,plain,
! [X0,X1: del,X2] :
( ( sP0(X0,X1,X2)
| ( ~ p(ap(X0,sK26(X0,X1)))
& mem(sK26(X0,X1),X1) )
| ( ~ p(ap(X2,sK27(X1,X2)))
& mem(sK27(X1,X2),X1) ) )
& ( ( ! [X5] :
( p(ap(X0,X5))
| ~ mem(X5,X1) )
& ! [X6] :
( p(ap(X2,X6))
| ~ mem(X6,X1) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f239,f241,f240]) ).
tff(f240,plain,
! [X0,X1: del] :
( ? [X3] :
( ~ p(ap(X0,X3))
& mem(X3,X1) )
=> ( ~ p(ap(X0,sK26(X0,X1)))
& mem(sK26(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f241,plain,
! [X1: del,X2] :
( ? [X4] :
( ~ p(ap(X2,X4))
& mem(X4,X1) )
=> ( ~ p(ap(X2,sK27(X1,X2)))
& mem(sK27(X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f239,plain,
! [X0,X1: del,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ~ p(ap(X0,X3))
& mem(X3,X1) )
| ? [X4] :
( ~ p(ap(X2,X4))
& mem(X4,X1) ) )
& ( ( ! [X5] :
( p(ap(X0,X5))
| ~ mem(X5,X1) )
& ! [X6] :
( p(ap(X2,X6))
| ~ mem(X6,X1) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f238]) ).
tff(f238,plain,
! [X2,X0: del,X1] :
( ( sP0(X2,X0,X1)
| ? [X4] :
( ~ p(ap(X2,X4))
& mem(X4,X0) )
| ? [X5] :
( ~ p(ap(X1,X5))
& mem(X5,X0) ) )
& ( ( ! [X4] :
( p(ap(X2,X4))
| ~ mem(X4,X0) )
& ! [X5] :
( p(ap(X1,X5))
| ~ mem(X5,X0) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f237]) ).
tff(f237,plain,
! [X2,X0: del,X1] :
( ( sP0(X2,X0,X1)
| ? [X4] :
( ~ p(ap(X2,X4))
& mem(X4,X0) )
| ? [X5] :
( ~ p(ap(X1,X5))
& mem(X5,X0) ) )
& ( ( ! [X4] :
( p(ap(X2,X4))
| ~ mem(X4,X0) )
& ! [X5] :
( p(ap(X1,X5))
| ~ mem(X5,X0) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f172]) ).
tff(f172,plain,
! [X2,X0: del,X1] :
( sP0(X2,X0,X1)
<=> ( ! [X4] :
( p(ap(X2,X4))
| ~ mem(X4,X0) )
& ! [X5] :
( p(ap(X1,X5))
| ~ mem(X5,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f1743,plain,
spl29_166,
inference(avatar_split_clause,[],[f392,f1741]) ).
tff(f392,plain,
! [X0: del,X1: $i] :
( p(ap(X1,sK22(X0,X1)))
| ~ p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f227]) ).
tff(f1739,plain,
spl29_165,
inference(avatar_split_clause,[],[f390,f1737]) ).
tff(f390,plain,
! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| ~ p(ap(X1,sK21(X0,X1)))
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f223]) ).
tff(f1735,plain,
spl29_164,
inference(avatar_split_clause,[],[f386,f1733]) ).
tff(f386,plain,
! [X2: $i,X0: del,X1: $i] :
( ( X1 = X2 )
| ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f219]) ).
tff(f219,plain,
! [X0: del,X1] :
( ! [X2] :
( ( ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ( X1 != X2 ) )
& ( ( X1 = X2 )
| ~ p(ap(ap(c_2Emin_2E_3D(X0),X1),X2)) ) )
| ~ mem(X2,X0) )
| ~ mem(X1,X0) ),
inference(nnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: del,X1] :
( ! [X2] :
( ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
<=> ( X1 = X2 ) )
| ~ mem(X2,X0) )
| ~ mem(X1,X0) ),
inference(ennf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: del,X1] :
( mem(X1,X0)
=> ! [X2] :
( mem(X2,X0)
=> ( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
<=> ( X1 = X2 ) ) ) ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X0: del,X3] :
( mem(X3,X0)
=> ! [X7] :
( mem(X7,X0)
=> ( p(ap(ap(c_2Emin_2E_3D(X0),X3),X7))
<=> ( X3 = X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_eq_p) ).
tff(f1731,plain,
spl29_163,
inference(avatar_split_clause,[],[f359,f1729]) ).
tff(f359,plain,
! [X0: $i,X1: $i] :
( p(X1)
| ~ p(X0)
| ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f213]) ).
tff(f213,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ( ~ p(X1)
& p(X0) ) )
& ( p(X1)
| ~ p(X0)
| ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f212]) ).
tff(f212,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ( ~ p(X1)
& p(X0) ) )
& ( p(X1)
| ~ p(X0)
| ~ p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f152]) ).
tff(f152,plain,
! [X0] :
( ! [X1] :
( ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
<=> ( p(X1)
| ~ p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f101]) ).
tff(f101,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
<=> ( p(X0)
=> p(X1) ) ) ) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( p(ap(ap(c_2Emin_2E_3D_3D_3E,X4),X5))
<=> ( p(X4)
=> p(X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_imp_p) ).
tff(f1727,plain,
spl29_162,
inference(avatar_split_clause,[],[f356,f1725]) ).
tff(f356,plain,
! [X0: $i,X1: $i] :
( p(X1)
| p(X0)
| ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f211]) ).
tff(f211,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ( ~ p(X1)
& ~ p(X0) ) )
& ( p(X1)
| p(X0)
| ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f210]) ).
tff(f210,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ( ~ p(X1)
& ~ p(X0) ) )
& ( p(X1)
| p(X0)
| ~ p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f151]) ).
tff(f151,plain,
! [X0] :
( ! [X1] :
( ( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
<=> ( p(X1)
| p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f100]) ).
tff(f100,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
<=> ( p(X1)
| p(X0) ) ) ) ),
inference(rectify,[],[f33]) ).
tff(f33,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( p(ap(ap(c_2Ebool_2E_5C_2F,X4),X5))
<=> ( p(X5)
| p(X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_or_p) ).
tff(f1723,plain,
spl29_161,
inference(avatar_split_clause,[],[f355,f1721]) ).
tff(f355,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f209]) ).
tff(f209,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0) )
& ( ( p(X1)
& p(X0) )
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f208]) ).
tff(f208,plain,
! [X0] :
( ! [X1] :
( ( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ p(X1)
| ~ p(X0) )
& ( ( p(X1)
& p(X0) )
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1)) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0] :
( ! [X1] :
( ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
<=> ( p(X1)
& p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f99]) ).
tff(f99,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
<=> ( p(X1)
& p(X0) ) ) ) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( p(ap(ap(c_2Ebool_2E_2F_5C,X4),X5))
<=> ( p(X5)
& p(X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_and_p) ).
tff(f1700,plain,
spl29_160,
inference(avatar_split_clause,[],[f406,f1698]) ).
tff(f406,plain,
! [X2: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| ~ p(ap(X0,sK26(X0,X1)))
| mem(sK27(X1,X2),X1) ),
inference(cnf_transformation,[],[f242]) ).
tff(f1696,plain,
spl29_159,
inference(avatar_split_clause,[],[f405,f1694]) ).
tff(f405,plain,
! [X2: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| mem(sK26(X0,X1),X1)
| ~ p(ap(X2,sK27(X1,X2))) ),
inference(cnf_transformation,[],[f242]) ).
tff(f1692,plain,
spl29_158,
inference(avatar_split_clause,[],[f391,f1690]) ).
tff(f391,plain,
! [X0: del,X1: $i] :
( mem(sK22(X0,X1),X0)
| ~ p(ap(c_2Ebool_2E_3F(X0),X1))
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f227]) ).
tff(f1688,plain,
spl29_157,
inference(avatar_split_clause,[],[f389,f1686]) ).
tff(f389,plain,
! [X0: del,X1: $i] :
( p(ap(c_2Ebool_2E_21(X0),X1))
| mem(sK21(X0,X1),X0)
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f223]) ).
tff(f1650,plain,
spl29_156,
inference(avatar_split_clause,[],[f493,f1648]) ).
tff(f1648,plain,
( spl29_156
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| ~ sP10(X2,X1,X0)
| p(inj__o(X1))
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_156])]) ).
tff(f493,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| ~ sP10(X2,X1,X0)
| p(inj__o(X1))
| ~ p(inj__o(X0)) ),
inference(cnf_transformation,[],[f282]) ).
tff(f282,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP12(X0,X1,X2)
| ~ sP10(X2,X1,X0)
| ( p(inj__o(X1))
& ~ p(inj__o(X2)) )
| ( ~ p(inj__o(X0))
& ~ p(inj__o(X2)) ) )
& ( ( sP10(X2,X1,X0)
& ( ~ p(inj__o(X1))
| p(inj__o(X2)) )
& ( p(inj__o(X0))
| p(inj__o(X2)) ) )
| ~ sP12(X0,X1,X2) ) ),
inference(rectify,[],[f281]) ).
tff(f281,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP12(X1,X2,X0)
| ~ sP10(X0,X2,X1)
| ( p(inj__o(X2))
& ~ p(inj__o(X0)) )
| ( ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( sP10(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP12(X1,X2,X0) ) ),
inference(flattening,[],[f280]) ).
tff(f280,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP12(X1,X2,X0)
| ~ sP10(X0,X2,X1)
| ( p(inj__o(X2))
& ~ p(inj__o(X0)) )
| ( ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( sP10(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP12(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f189]) ).
tff(f189,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( sP12(X1,X2,X0)
<=> ( sP10(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
tff(f1646,plain,
spl29_155,
inference(avatar_split_clause,[],[f474,f1644]) ).
tff(f1644,plain,
( spl29_155
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| ~ sP7(X2,X1,X0)
| p(inj__o(X1))
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_155])]) ).
tff(f474,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| ~ sP7(X2,X1,X0)
| p(inj__o(X1))
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f272]) ).
tff(f272,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP9(X0,X1,X2)
| ~ sP7(X2,X1,X0)
| ( p(inj__o(X1))
& ~ p(inj__o(X2)) )
| ( p(inj__o(X0))
& ~ p(inj__o(X2)) ) )
& ( ( sP7(X2,X1,X0)
& ( ~ p(inj__o(X1))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2)) ) )
| ~ sP9(X0,X1,X2) ) ),
inference(rectify,[],[f271]) ).
tff(f271,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP9(X1,X2,X0)
| ~ sP7(X0,X2,X1)
| ( p(inj__o(X2))
& ~ p(inj__o(X0)) )
| ( p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( sP7(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( ~ p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP9(X1,X2,X0) ) ),
inference(flattening,[],[f270]) ).
tff(f270,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP9(X1,X2,X0)
| ~ sP7(X0,X2,X1)
| ( p(inj__o(X2))
& ~ p(inj__o(X0)) )
| ( p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( sP7(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( ~ p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP9(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f185]) ).
tff(f185,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( sP9(X1,X2,X0)
<=> ( sP7(X0,X2,X1)
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
tff(f1609,plain,
( spl29_17
| spl29_144
| ~ spl29_19
| ~ spl29_113 ),
inference(avatar_split_clause,[],[f1422,f1142,f662,f1382,f651]) ).
tff(f1382,plain,
( spl29_144
<=> ! [X0: tp__o] : p(inj__o(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_144])]) ).
tff(f662,plain,
( spl29_19
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).
tff(f1142,plain,
( spl29_113
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP2(X0,fo__c_2Einteger_2Eint__divides(sK18,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_113])]) ).
tff(f1422,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20))) )
| ~ spl29_19
| ~ spl29_113 ),
inference(resolution,[],[f1143,f663]) ).
tff(f663,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ sP2(X0,X1)
| p(inj__o(X1)) )
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f662]) ).
tff(f1143,plain,
( ! [X0: tp__o] :
( sP2(X0,fo__c_2Einteger_2Eint__divides(sK18,sK20))
| p(inj__o(X0)) )
| ~ spl29_113 ),
inference(avatar_component_clause,[],[f1142]) ).
tff(f1490,plain,
( spl29_17
| ~ spl29_144 ),
inference(avatar_contradiction_clause,[],[f1486]) ).
tff(f1486,plain,
( $false
| spl29_17
| ~ spl29_144 ),
inference(resolution,[],[f1383,f652]) ).
tff(f1383,plain,
( ! [X0: tp__o] : p(inj__o(X0))
| ~ spl29_144 ),
inference(avatar_component_clause,[],[f1382]) ).
tff(f1472,plain,
spl29_154,
inference(avatar_split_clause,[],[f452,f1470]) ).
tff(f1470,plain,
( spl29_154
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP4(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_154])]) ).
tff(f452,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP4(X1,X2,X0) ),
inference(cnf_transformation,[],[f262]) ).
tff(f262,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP6(X0,X1,X2)
| ( p(inj__o(X0))
& ~ p(inj__o(X1)) )
| ( p(inj__o(X0))
& ~ p(inj__o(X2)) )
| ~ sP4(X1,X2,X0) )
& ( ( ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& sP4(X1,X2,X0) )
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f261]) ).
tff(f261,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP6(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2)) )
| ( p(inj__o(X0))
& ~ p(inj__o(X1)) )
| ~ sP4(X2,X1,X0) )
& ( ( ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& sP4(X2,X1,X0) )
| ~ sP6(X0,X2,X1) ) ),
inference(flattening,[],[f260]) ).
tff(f260,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP6(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2)) )
| ( p(inj__o(X0))
& ~ p(inj__o(X1)) )
| ~ sP4(X2,X1,X0) )
& ( ( ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& sP4(X2,X1,X0) )
| ~ sP6(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f181]) ).
tff(f181,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( sP6(X0,X2,X1)
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& sP4(X2,X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
tff(f1468,plain,
spl29_153,
inference(avatar_split_clause,[],[f408,f1466]) ).
tff(f408,plain,
! [X2: $i,X0: del,X1: $i] :
( sP1(X1,X0,X2)
| ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f174]) ).
tff(f174,plain,
! [X0: del,X1] :
( ! [X2] :
( sP1(X1,X0,X2)
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) ),
inference(definition_folding,[],[f161,f173,f172]) ).
tff(f161,plain,
! [X0: del,X1] :
( ! [X2] :
( ( ! [X3] :
( ( p(ap(X2,X3))
& p(ap(X1,X3)) )
| ~ mem(X3,X0) )
<=> ( ! [X4] :
( p(ap(X2,X4))
| ~ mem(X4,X0) )
& ! [X5] :
( p(ap(X1,X5))
| ~ mem(X5,X0) ) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f123]) ).
tff(f123,plain,
! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> ! [X2] :
( mem(X2,arr(X0,bool))
=> ( ! [X3] :
( mem(X3,X0)
=> ( p(ap(X2,X3))
& p(ap(X1,X3)) ) )
<=> ( ! [X4] :
( mem(X4,X0)
=> p(ap(X2,X4)) )
& ! [X5] :
( mem(X5,X0)
=> p(ap(X1,X5)) ) ) ) ) ),
inference(rectify,[],[f52]) ).
tff(f52,axiom,
! [X8: del,X14] :
( mem(X14,arr(X8,bool))
=> ! [X17] :
( mem(X17,arr(X8,bool))
=> ( ! [X16] :
( mem(X16,X8)
=> ( p(ap(X17,X16))
& p(ap(X14,X16)) ) )
<=> ( ! [X19] :
( mem(X19,X8)
=> p(ap(X17,X19)) )
& ! [X18] :
( mem(X18,X8)
=> p(ap(X14,X18)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2EFORALL__AND__THM) ).
tff(f1464,plain,
spl29_152,
inference(avatar_split_clause,[],[f404,f1462]) ).
tff(f404,plain,
! [X2: $i,X0: $i,X1: del] :
( sP0(X0,X1,X2)
| mem(sK26(X0,X1),X1)
| mem(sK27(X1,X2),X1) ),
inference(cnf_transformation,[],[f242]) ).
tff(f1460,plain,
( spl29_17
| spl29_144
| ~ spl29_74
| ~ spl29_102 ),
inference(avatar_split_clause,[],[f1295,f1080,f900,f1382,f651]) ).
tff(f900,plain,
( spl29_74
<=> ! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| p(inj__o(X0))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_74])]) ).
tff(f1080,plain,
( spl29_102
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(X0,fo__c_2Einteger_2Eint__divides(sK18,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_102])]) ).
tff(f1295,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20))) )
| ~ spl29_74
| ~ spl29_102 ),
inference(duplicate_literal_removal,[],[f1294]) ).
tff(f1294,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(X0))
| p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20))) )
| ~ spl29_74
| ~ spl29_102 ),
inference(resolution,[],[f1081,f901]) ).
tff(f901,plain,
( ! [X0: tp__o,X1: tp__o] :
( ~ sP3(X0,X1)
| p(inj__o(X0))
| p(inj__o(X1)) )
| ~ spl29_74 ),
inference(avatar_component_clause,[],[f900]) ).
tff(f1081,plain,
( ! [X0: tp__o] :
( sP3(X0,fo__c_2Einteger_2Eint__divides(sK18,sK20))
| p(inj__o(X0)) )
| ~ spl29_102 ),
inference(avatar_component_clause,[],[f1080]) ).
tff(f1459,plain,
spl29_151,
inference(avatar_split_clause,[],[f398,f1457]) ).
tff(f398,plain,
! [X2: $i,X0: $i,X1: del] :
( sP0(X2,X1,X0)
| mem(sK25(X0,X1,X2),X1)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f236]) ).
tff(f1455,plain,
spl29_150,
inference(avatar_split_clause,[],[f361,f1453]) ).
tff(f361,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f213]) ).
tff(f1451,plain,
spl29_149,
inference(avatar_split_clause,[],[f360,f1449]) ).
tff(f360,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D_3D_3E,X0),X1))
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f213]) ).
tff(f1447,plain,
spl29_148,
inference(avatar_split_clause,[],[f358,f1445]) ).
tff(f358,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X1)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f211]) ).
tff(f1443,plain,
spl29_147,
inference(avatar_split_clause,[],[f357,f1441]) ).
tff(f357,plain,
! [X0: $i,X1: $i] :
( p(ap(ap(c_2Ebool_2E_5C_2F,X0),X1))
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f211]) ).
tff(f1439,plain,
spl29_146,
inference(avatar_split_clause,[],[f354,f1437]) ).
tff(f354,plain,
! [X0: $i,X1: $i] :
( p(X1)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f209]) ).
tff(f1435,plain,
spl29_145,
inference(avatar_split_clause,[],[f353,f1433]) ).
tff(f353,plain,
! [X0: $i,X1: $i] :
( p(X0)
| ~ p(ap(ap(c_2Ebool_2E_2F_5C,X0),X1))
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f209]) ).
tff(f1388,plain,
( ~ spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f1145,f643,f651]) ).
tff(f1145,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)))
| spl29_16 ),
inference(forward_demodulation,[],[f644,f371]) ).
tff(f1384,plain,
( spl29_17
| spl29_144
| ~ spl29_74
| ~ spl29_93 ),
inference(avatar_split_clause,[],[f1211,f1013,f900,f1382,f651]) ).
tff(f1013,plain,
( spl29_93
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(fo__c_2Einteger_2Eint__divides(sK18,sK20),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_93])]) ).
tff(f1211,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20))) )
| ~ spl29_74
| ~ spl29_93 ),
inference(duplicate_literal_removal,[],[f1210]) ).
tff(f1210,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)))
| p(inj__o(X0)) )
| ~ spl29_74
| ~ spl29_93 ),
inference(resolution,[],[f1014,f901]) ).
tff(f1014,plain,
( ! [X0: tp__o] :
( sP3(fo__c_2Einteger_2Eint__divides(sK18,sK20),X0)
| p(inj__o(X0)) )
| ~ spl29_93 ),
inference(avatar_component_clause,[],[f1013]) ).
tff(f1319,plain,
spl29_143,
inference(avatar_split_clause,[],[f529,f1317]) ).
tff(f1317,plain,
( spl29_143
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP13(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_143])]) ).
tff(f529,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP13(X0,X1,X2) ),
inference(cnf_transformation,[],[f302]) ).
tff(f302,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP13(X0,X1,X2)
| ( ~ p(inj__o(X0))
& ~ p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP13(X0,X1,X2) ) ),
inference(rectify,[],[f301]) ).
tff(f301,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP13(X2,X1,X0)
| ( ~ p(inj__o(X2))
& ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0))
| ~ sP13(X2,X1,X0) ) ),
inference(flattening,[],[f300]) ).
tff(f300,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP13(X2,X1,X0)
| ( ~ p(inj__o(X2))
& ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0))
| ~ sP13(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f191]) ).
tff(f191,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP13(X2,X1,X0)
<=> ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
tff(f1315,plain,
spl29_142,
inference(avatar_split_clause,[],[f525,f1313]) ).
tff(f1313,plain,
( spl29_142
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP14(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_142])]) ).
tff(f525,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP14(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tff(f299,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP14(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP14(X0,X1,X2) ) ),
inference(rectify,[],[f298]) ).
tff(f298,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP14(X1,X2,X0)
| ( p(inj__o(X1))
& p(inj__o(X2))
& ~ p(inj__o(X0)) ) )
& ( ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| p(inj__o(X0))
| ~ sP14(X1,X2,X0) ) ),
inference(flattening,[],[f297]) ).
tff(f297,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( ( sP14(X1,X2,X0)
| ( p(inj__o(X1))
& p(inj__o(X2))
& ~ p(inj__o(X0)) ) )
& ( ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| p(inj__o(X0))
| ~ sP14(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f192]) ).
tff(f192,plain,
! [X1: tp__o,X2: tp__o,X0: tp__o] :
( sP14(X1,X2,X0)
<=> ( ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| p(inj__o(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
tff(f1311,plain,
spl29_141,
inference(avatar_split_clause,[],[f521,f1309]) ).
tff(f1309,plain,
( spl29_141
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP15(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_141])]) ).
tff(f521,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP15(X0,X1,X2) ),
inference(cnf_transformation,[],[f296]) ).
tff(f296,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP15(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP15(X0,X1,X2) ) ),
inference(rectify,[],[f295]) ).
tff(f295,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP15(X0,X2,X1)
| ( p(inj__o(X0))
& p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| p(inj__o(X1))
| ~ sP15(X0,X2,X1) ) ),
inference(flattening,[],[f294]) ).
tff(f294,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP15(X0,X2,X1)
| ( p(inj__o(X0))
& p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| p(inj__o(X1))
| ~ sP15(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f193]) ).
tff(f193,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( sP15(X0,X2,X1)
<=> ( ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| p(inj__o(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
tff(f1307,plain,
spl29_140,
inference(avatar_split_clause,[],[f520,f1305]) ).
tff(f520,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f293]) ).
tff(f293,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP16(X0,X1,X2)
| ( ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X0))
| p(inj__o(X1)) ) )
| ~ p(inj__o(X2)) )
& ( ( ( p(inj__o(X1))
| ~ p(inj__o(X0)) )
& ( p(inj__o(X0))
| ~ p(inj__o(X1)) ) )
| p(inj__o(X2)) ) ) )
& ( ( ( p(inj__o(X2))
| ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X0))
| p(inj__o(X1)) ) ) )
& ( ( ( p(inj__o(X1))
| ~ p(inj__o(X0)) )
& ( p(inj__o(X0))
| ~ p(inj__o(X1)) ) )
| ~ p(inj__o(X2)) ) )
| ~ sP16(X0,X1,X2) ) ),
inference(rectify,[],[f292]) ).
tff(f292,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP16(X2,X1,X0)
| ( ( ( ( ~ p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X2))
| p(inj__o(X1)) ) )
| ~ p(inj__o(X0)) )
& ( ( ( p(inj__o(X1))
| ~ p(inj__o(X2)) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1)) ) )
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ( ~ p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X2))
| p(inj__o(X1)) ) ) )
& ( ( ( p(inj__o(X1))
| ~ p(inj__o(X2)) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1)) ) )
| ~ p(inj__o(X0)) ) )
| ~ sP16(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f194]) ).
tff(f194,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP16(X2,X1,X0)
<=> ( p(inj__o(X0))
<=> ( p(inj__o(X1))
<=> p(inj__o(X2)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
tff(f1303,plain,
spl29_139,
inference(avatar_split_clause,[],[f519,f1301]) ).
tff(f519,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f293]) ).
tff(f1299,plain,
spl29_138,
inference(avatar_split_clause,[],[f518,f1297]) ).
tff(f518,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X0))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f293]) ).
tff(f1292,plain,
spl29_137,
inference(avatar_split_clause,[],[f517,f1290]) ).
tff(f517,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f293]) ).
tff(f1288,plain,
spl29_136,
inference(avatar_split_clause,[],[f516,f1286]) ).
tff(f1286,plain,
( spl29_136
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP16(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_136])]) ).
tff(f516,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tff(f1284,plain,
spl29_135,
inference(avatar_split_clause,[],[f515,f1282]) ).
tff(f1282,plain,
( spl29_135
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ sP16(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_135])]) ).
tff(f515,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| p(inj__o(X0))
| p(inj__o(X1))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tff(f1280,plain,
spl29_134,
inference(avatar_split_clause,[],[f514,f1278]) ).
tff(f1278,plain,
( spl29_134
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ sP16(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_134])]) ).
tff(f514,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tff(f1276,plain,
spl29_133,
inference(avatar_split_clause,[],[f513,f1274]) ).
tff(f1274,plain,
( spl29_133
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP16(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_133])]) ).
tff(f513,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP16(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tff(f1272,plain,
spl29_132,
inference(avatar_split_clause,[],[f509,f1270]) ).
tff(f1270,plain,
( spl29_132
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP17(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_132])]) ).
tff(f509,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
tff(f1268,plain,
spl29_131,
inference(avatar_split_clause,[],[f500,f1266]) ).
tff(f1266,plain,
( spl29_131
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP10(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_131])]) ).
tff(f500,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
tff(f288,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP10(X0,X1,X2)
| ( p(inj__o(X0))
& ~ p(inj__o(X1))
& p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f287]) ).
tff(f287,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP10(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2))
& p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ sP10(X0,X2,X1) ) ),
inference(flattening,[],[f286]) ).
tff(f286,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP10(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2))
& p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ sP10(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( sP10(X0,X2,X1)
<=> ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
tff(f1264,plain,
spl29_130,
inference(avatar_split_clause,[],[f497,f1262]) ).
tff(f497,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f285]) ).
tff(f285,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP11(X0,X1,X2)
| ( ( ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| ~ p(inj__o(X2)) )
& ( p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) ) ) )
& ( ( ( p(inj__o(X2))
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) ) )
& ( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ) )
| ~ sP11(X0,X1,X2) ) ),
inference(rectify,[],[f284]) ).
tff(f284,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP11(X2,X1,X0)
| ( ( ( ~ p(inj__o(X2))
& p(inj__o(X1)) )
| ~ p(inj__o(X0)) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ~ p(inj__o(X2))
& p(inj__o(X1)) ) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ~ sP11(X2,X1,X0) ) ),
inference(flattening,[],[f283]) ).
tff(f283,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP11(X2,X1,X0)
| ( ( ( ~ p(inj__o(X2))
& p(inj__o(X1)) )
| ~ p(inj__o(X0)) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ~ p(inj__o(X2))
& p(inj__o(X1)) ) )
& ( p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ~ sP11(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f188]) ).
tff(f188,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP11(X2,X1,X0)
<=> ( p(inj__o(X0))
<=> ( p(inj__o(X2))
| ~ p(inj__o(X1)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
tff(f1260,plain,
spl29_129,
inference(avatar_split_clause,[],[f494,f1258]) ).
tff(f1258,plain,
( spl29_129
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_129])]) ).
tff(f494,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f285]) ).
tff(f1256,plain,
spl29_128,
inference(avatar_split_clause,[],[f481,f1254]) ).
tff(f1254,plain,
( spl29_128
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP7(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_128])]) ).
tff(f481,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP7(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tff(f278,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP7(X0,X1,X2)
| ( p(inj__o(X0))
& ~ p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2))
| ~ sP7(X0,X1,X2) ) ),
inference(rectify,[],[f277]) ).
tff(f277,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP7(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2))
| p(inj__o(X1))
| ~ sP7(X0,X2,X1) ) ),
inference(flattening,[],[f276]) ).
tff(f276,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( ( sP7(X0,X2,X1)
| ( p(inj__o(X0))
& ~ p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( ~ p(inj__o(X0))
| p(inj__o(X2))
| p(inj__o(X1))
| ~ sP7(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f183]) ).
tff(f183,plain,
! [X0: tp__o,X2: tp__o,X1: tp__o] :
( sP7(X0,X2,X1)
<=> ( ~ p(inj__o(X0))
| p(inj__o(X2))
| p(inj__o(X1)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
tff(f1249,plain,
spl29_127,
inference(avatar_split_clause,[],[f478,f1247]) ).
tff(f478,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f275]) ).
tff(f275,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP8(X0,X1,X2)
| ( ( ( ~ p(inj__o(X0))
& ~ p(inj__o(X1)) )
| ~ p(inj__o(X2)) )
& ( p(inj__o(X0))
| p(inj__o(X1))
| p(inj__o(X2)) ) ) )
& ( ( ( p(inj__o(X2))
| ( ~ p(inj__o(X0))
& ~ p(inj__o(X1)) ) )
& ( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2)) ) )
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f274]) ).
tff(f274,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP8(X2,X1,X0)
| ( ( ( ~ p(inj__o(X2))
& ~ p(inj__o(X1)) )
| ~ p(inj__o(X0)) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ~ p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ~ sP8(X2,X1,X0) ) ),
inference(flattening,[],[f273]) ).
tff(f273,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP8(X2,X1,X0)
| ( ( ( ~ p(inj__o(X2))
& ~ p(inj__o(X1)) )
| ~ p(inj__o(X0)) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ( ~ p(inj__o(X2))
& ~ p(inj__o(X1)) ) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ~ sP8(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f184]) ).
tff(f184,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP8(X2,X1,X0)
<=> ( p(inj__o(X0))
<=> ( p(inj__o(X2))
| p(inj__o(X1)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
tff(f1245,plain,
spl29_126,
inference(avatar_split_clause,[],[f475,f1243]) ).
tff(f1243,plain,
( spl29_126
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_126])]) ).
tff(f475,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f1241,plain,
spl29_125,
inference(avatar_split_clause,[],[f462,f1239]) ).
tff(f1239,plain,
( spl29_125
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP4(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_125])]) ).
tff(f462,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f268]) ).
tff(f268,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP4(X0,X1,X2)
| ( p(inj__o(X0))
& p(inj__o(X1))
& ~ p(inj__o(X2)) ) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f267]) ).
tff(f267,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP4(X2,X1,X0)
| ( p(inj__o(X2))
& p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0))
| ~ sP4(X2,X1,X0) ) ),
inference(flattening,[],[f266]) ).
tff(f266,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP4(X2,X1,X0)
| ( p(inj__o(X2))
& p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0))
| ~ sP4(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f179]) ).
tff(f179,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP4(X2,X1,X0)
<=> ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
tff(f1237,plain,
spl29_124,
inference(avatar_split_clause,[],[f461,f1235]) ).
tff(f461,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f265]) ).
tff(f265,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP5(X0,X1,X2)
| ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) )
& ( ( p(inj__o(X0))
& p(inj__o(X1)) )
| p(inj__o(X2)) ) ) )
& ( ( ( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( ( p(inj__o(X0))
& p(inj__o(X1)) )
| ~ p(inj__o(X2)) ) )
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f264]) ).
tff(f264,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP5(X2,X1,X0)
| ( ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) )
& ( ( p(inj__o(X2))
& p(inj__o(X1)) )
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( ( p(inj__o(X2))
& p(inj__o(X1)) )
| ~ p(inj__o(X0)) ) )
| ~ sP5(X2,X1,X0) ) ),
inference(flattening,[],[f263]) ).
tff(f263,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( ( sP5(X2,X1,X0)
| ( ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ p(inj__o(X0)) )
& ( ( p(inj__o(X2))
& p(inj__o(X1)) )
| p(inj__o(X0)) ) ) )
& ( ( ( p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( ( p(inj__o(X2))
& p(inj__o(X1)) )
| ~ p(inj__o(X0)) ) )
| ~ sP5(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f180]) ).
tff(f180,plain,
! [X2: tp__o,X1: tp__o,X0: tp__o] :
( sP5(X2,X1,X0)
<=> ( p(inj__o(X0))
<=> ( p(inj__o(X2))
& p(inj__o(X1)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
tff(f1233,plain,
spl29_123,
inference(avatar_split_clause,[],[f458,f1231]) ).
tff(f1231,plain,
( spl29_123
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_123])]) ).
tff(f458,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f265]) ).
tff(f1229,plain,
spl29_122,
inference(avatar_split_clause,[],[f438,f1227]) ).
tff(f438,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0)
| ~ mem(X2,arr(X0,X1)) ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).
tff(f1225,plain,
spl29_121,
inference(avatar_split_clause,[],[f352,f1223]) ).
tff(f352,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ p(X1)
| ~ p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f207]) ).
tff(f207,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1 )
| ( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(flattening,[],[f148]) ).
tff(f148,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) )
| ~ mem(X1,bool) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f98]) ).
tff(f98,plain,
! [X0] :
( mem(X0,bool)
=> ! [X1] :
( mem(X1,bool)
=> ( ( p(X0)
<=> p(X1) )
=> ( X0 = X1 ) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X4] :
( mem(X4,bool)
=> ! [X5] :
( mem(X5,bool)
=> ( ( p(X4)
<=> p(X5) )
=> ( X4 = X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boolext) ).
tff(f1221,plain,
spl29_120,
inference(avatar_split_clause,[],[f351,f1219]) ).
tff(f351,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| p(X1)
| p(X0)
| ~ mem(X1,bool)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f207]) ).
tff(f1196,plain,
spl29_119,
inference(avatar_split_clause,[],[f371,f1194]) ).
tff(f1192,plain,
spl29_118,
inference(avatar_split_clause,[],[f370,f1190]) ).
tff(f370,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) ),
inference(cnf_transformation,[],[f113]) ).
tff(f113,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X0,X1)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X0)),inj__o(X1)) ),
inference(rectify,[],[f35]) ).
tff(f35,axiom,
! [X9: tp__o,X10: tp__o] : ( inj__o(fo__c_2Ebool_2E_2F_5C(X9,X10)) = ap(ap(c_2Ebool_2E_2F_5C,inj__o(X9)),inj__o(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_2F_5C) ).
tff(f1188,plain,
spl29_117,
inference(avatar_split_clause,[],[f369,f1186]) ).
tff(f369,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) ),
inference(cnf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X0,X1)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X0)),inj__o(X1)) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X9: tp__o,X10: tp__o] : ( inj__o(fo__c_2Emin_2E_3D_3D_3E(X9,X10)) = ap(ap(c_2Emin_2E_3D_3D_3E,inj__o(X9)),inj__o(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Emin_2E_3D_3D_3E) ).
tff(f1184,plain,
spl29_116,
inference(avatar_split_clause,[],[f368,f1182]) ).
tff(f368,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),inj__o(X1)) ),
inference(cnf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: tp__o,X1: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X0,X1)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X0)),inj__o(X1)) ),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X9: tp__o,X10: tp__o] : ( inj__o(fo__c_2Ebool_2E_5C_2F(X9,X10)) = ap(ap(c_2Ebool_2E_5C_2F,inj__o(X9)),inj__o(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_5C_2F) ).
tff(f1180,plain,
spl29_115,
inference(avatar_split_clause,[],[f367,f1178]) ).
tff(f1178,plain,
( spl29_115
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X0,X1)) = ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_115])]) ).
tff(f1176,plain,
spl29_114,
inference(avatar_split_clause,[],[f366,f1174]) ).
tff(f1174,plain,
( spl29_114
<=> ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X0,X1)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_114])]) ).
tff(f366,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X0,X1)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ),
inference(cnf_transformation,[],[f109]) ).
tff(f109,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X0,X1)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X9: tp__ty_2Einteger_2Eint,X10: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X9,X10)) = ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X9)),inj__ty_2Einteger_2Eint(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__sub) ).
tff(f1144,plain,
( spl29_113
| ~ spl29_17
| ~ spl29_78 ),
inference(avatar_split_clause,[],[f952,f916,f651,f1142]) ).
tff(f952,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP2(X0,fo__c_2Einteger_2Eint__divides(sK18,sK20)) )
| ~ spl29_17
| ~ spl29_78 ),
inference(resolution,[],[f917,f653]) ).
tff(f1140,plain,
spl29_112,
inference(avatar_split_clause,[],[f558,f1138]) ).
tff(f558,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(forward_demodulation,[],[f557,f371]) ).
tff(f557,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X1))))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(forward_demodulation,[],[f556,f327]) ).
tff(f327,plain,
! [X0: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0)) = ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)) ),
inference(cnf_transformation,[],[f78]) ).
tff(f78,plain,
! [X0: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0)) = ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X9: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X9)) = ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Einteger_2Eint__neg) ).
tff(f556,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) ),
inference(forward_demodulation,[],[f373,f371]) ).
tff(f373,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) ),
inference(cnf_transformation,[],[f216]) ).
tff(f216,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) ) ),
inference(flattening,[],[f215]) ).
tff(f215,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) ) ),
inference(nnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ) ),
inference(rectify,[],[f58]) ).
tff(f58,axiom,
! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X25))),inj__ty_2Einteger_2Eint(X26)))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X26))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).
tff(f1136,plain,
spl29_111,
inference(avatar_split_clause,[],[f555,f1134]) ).
tff(f555,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1)))) ),
inference(forward_demodulation,[],[f554,f371]) ).
tff(f554,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,fo__c_2Einteger_2Eint__neg(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f553,f371]) ).
tff(f553,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f374,f327]) ).
tff(f374,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1))))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f216]) ).
tff(f1132,plain,
spl29_110,
inference(avatar_split_clause,[],[f552,f1130]) ).
tff(f552,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(forward_demodulation,[],[f551,f371]) ).
tff(f551,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0))),inj__ty_2Einteger_2Eint(X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1))) ),
inference(forward_demodulation,[],[f550,f327]) ).
tff(f550,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f375,f371]) ).
tff(f375,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f216]) ).
tff(f1128,plain,
spl29_109,
inference(avatar_split_clause,[],[f549,f1126]) ).
tff(f549,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(X0,X1)))
| p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1))) ),
inference(forward_demodulation,[],[f548,f371]) ).
tff(f548,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(inj__o(fo__c_2Einteger_2Eint__divides(fo__c_2Einteger_2Eint__neg(X0),X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f547,f371]) ).
tff(f547,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0))),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(forward_demodulation,[],[f376,f327]) ).
tff(f376,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0))),inj__ty_2Einteger_2Eint(X1)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(cnf_transformation,[],[f216]) ).
tff(f1124,plain,
spl29_108,
inference(avatar_split_clause,[],[f538,f1122]) ).
tff(f1122,plain,
( spl29_108
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| p(inj__o(X0))
| ~ sP4(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_108])]) ).
tff(f538,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| p(inj__o(X0))
| ~ sP4(X1,X2,X0) ),
inference(duplicate_literal_removal,[],[f455]) ).
tff(f455,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X0))
| ~ sP4(X1,X2,X0) ),
inference(cnf_transformation,[],[f262]) ).
tff(f1120,plain,
spl29_107,
inference(avatar_split_clause,[],[f537,f1118]) ).
tff(f1118,plain,
( spl29_107
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| ~ sP7(X2,X1,X0)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_107])]) ).
tff(f537,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| ~ sP7(X2,X1,X0)
| ~ p(inj__o(X2)) ),
inference(duplicate_literal_removal,[],[f471]) ).
tff(f471,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X0,X1,X2)
| ~ sP7(X2,X1,X0)
| ~ p(inj__o(X2))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f272]) ).
tff(f1116,plain,
spl29_106,
inference(avatar_split_clause,[],[f536,f1114]) ).
tff(f1114,plain,
( spl29_106
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| ~ sP10(X2,X1,X0)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_106])]) ).
tff(f536,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| ~ sP10(X2,X1,X0)
| ~ p(inj__o(X2)) ),
inference(duplicate_literal_removal,[],[f490]) ).
tff(f490,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X0,X1,X2)
| ~ sP10(X2,X1,X0)
| ~ p(inj__o(X2))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f282]) ).
tff(f1112,plain,
spl29_105,
inference(avatar_split_clause,[],[f403,f1110]) ).
tff(f403,plain,
! [X2: $i,X0: $i,X1: del,X5: $i] :
( p(ap(X0,X5))
| ~ mem(X5,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f242]) ).
tff(f1108,plain,
spl29_104,
inference(avatar_split_clause,[],[f402,f1106]) ).
tff(f402,plain,
! [X2: $i,X0: $i,X1: del,X6: $i] :
( p(ap(X2,X6))
| ~ mem(X6,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f242]) ).
tff(f1104,plain,
( spl29_103
| ~ spl29_2
| ~ spl29_78 ),
inference(avatar_split_clause,[],[f951,f916,f574,f1102]) ).
tff(f1102,plain,
( spl29_103
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP2(X0,fo__c_2Einteger_2Eint__divides(sK18,sK19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_103])]) ).
tff(f951,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP2(X0,fo__c_2Einteger_2Eint__divides(sK18,sK19)) )
| ~ spl29_2
| ~ spl29_78 ),
inference(resolution,[],[f917,f576]) ).
tff(f1086,plain,
( spl29_18
| ~ spl29_15 ),
inference(avatar_split_clause,[],[f1085,f639,f656]) ).
tff(f639,plain,
( spl29_15
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_15])]) ).
tff(f1085,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))))
| ~ spl29_15 ),
inference(forward_demodulation,[],[f1084,f371]) ).
tff(f1084,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK20,sK19))))
| ~ spl29_15 ),
inference(forward_demodulation,[],[f641,f366]) ).
tff(f641,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19))))
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f639]) ).
tff(f1082,plain,
( spl29_102
| ~ spl29_17
| ~ spl29_77 ),
inference(avatar_split_clause,[],[f947,f912,f651,f1080]) ).
tff(f947,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(X0,fo__c_2Einteger_2Eint__divides(sK18,sK20)) )
| ~ spl29_17
| ~ spl29_77 ),
inference(resolution,[],[f913,f653]) ).
tff(f1062,plain,
( spl29_101
| ~ spl29_2
| ~ spl29_77 ),
inference(avatar_split_clause,[],[f946,f912,f574,f1060]) ).
tff(f1060,plain,
( spl29_101
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(X0,fo__c_2Einteger_2Eint__divides(sK18,sK19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_101])]) ).
tff(f946,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(X0,fo__c_2Einteger_2Eint__divides(sK18,sK19)) )
| ~ spl29_2
| ~ spl29_77 ),
inference(resolution,[],[f913,f576]) ).
tff(f1043,plain,
spl29_100,
inference(avatar_split_clause,[],[f541,f1041]) ).
tff(f1041,plain,
( spl29_100
<=> ! [X2,X0: del] :
( p(ap(ap(c_2Emin_2E_3D(X0),X2),X2))
| ~ mem(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_100])]) ).
tff(f541,plain,
! [X2: $i,X0: del] :
( p(ap(ap(c_2Emin_2E_3D(X0),X2),X2))
| ~ mem(X2,X0) ),
inference(duplicate_literal_removal,[],[f535]) ).
tff(f535,plain,
! [X2: $i,X0: del] :
( p(ap(ap(c_2Emin_2E_3D(X0),X2),X2))
| ~ mem(X2,X0)
| ~ mem(X2,X0) ),
inference(equality_resolution,[],[f387]) ).
tff(f387,plain,
! [X2: $i,X0: del,X1: $i] :
( p(ap(ap(c_2Emin_2E_3D(X0),X1),X2))
| ( X1 != X2 )
| ~ mem(X2,X0)
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f219]) ).
tff(f1039,plain,
spl29_99,
inference(avatar_split_clause,[],[f499,f1037]) ).
tff(f499,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f285]) ).
tff(f1035,plain,
spl29_98,
inference(avatar_split_clause,[],[f498,f1033]) ).
tff(f498,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X0,X1,X2)
| p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f285]) ).
tff(f1031,plain,
spl29_97,
inference(avatar_split_clause,[],[f496,f1029]) ).
tff(f1029,plain,
( spl29_97
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_97])]) ).
tff(f496,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f285]) ).
tff(f1027,plain,
spl29_96,
inference(avatar_split_clause,[],[f495,f1025]) ).
tff(f1025,plain,
( spl29_96
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| p(inj__o(X1))
| ~ sP11(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_96])]) ).
tff(f495,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| p(inj__o(X1))
| ~ sP11(X0,X1,X2) ),
inference(cnf_transformation,[],[f285]) ).
tff(f1023,plain,
spl29_95,
inference(avatar_split_clause,[],[f488,f1021]) ).
tff(f1021,plain,
( spl29_95
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP12(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_95])]) ).
tff(f488,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f282]) ).
tff(f1019,plain,
spl29_94,
inference(avatar_split_clause,[],[f487,f1017]) ).
tff(f1017,plain,
( spl29_94
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X2))
| ~ sP12(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_94])]) ).
tff(f487,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| p(inj__o(X2))
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f282]) ).
tff(f1015,plain,
( spl29_93
| ~ spl29_17
| ~ spl29_76 ),
inference(avatar_split_clause,[],[f942,f908,f651,f1013]) ).
tff(f942,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(fo__c_2Einteger_2Eint__divides(sK18,sK20),X0) )
| ~ spl29_17
| ~ spl29_76 ),
inference(resolution,[],[f909,f653]) ).
tff(f1011,plain,
spl29_92,
inference(avatar_split_clause,[],[f480,f1009]) ).
tff(f480,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| ~ p(inj__o(X0))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f275]) ).
tff(f1007,plain,
spl29_91,
inference(avatar_split_clause,[],[f479,f1005]) ).
tff(f479,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X0,X1,X2)
| ~ p(inj__o(X1))
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f275]) ).
tff(f1003,plain,
spl29_90,
inference(avatar_split_clause,[],[f477,f1001]) ).
tff(f1001,plain,
( spl29_90
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_90])]) ).
tff(f477,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X0))
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f999,plain,
spl29_89,
inference(avatar_split_clause,[],[f476,f997]) ).
tff(f997,plain,
( spl29_89
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ sP8(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_89])]) ).
tff(f476,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X2))
| ~ p(inj__o(X1))
| ~ sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tff(f995,plain,
spl29_88,
inference(avatar_split_clause,[],[f469,f993]) ).
tff(f993,plain,
( spl29_88
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_88])]) ).
tff(f469,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X1))
| p(inj__o(X2))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tff(f991,plain,
spl29_87,
inference(avatar_split_clause,[],[f468,f989]) ).
tff(f989,plain,
( spl29_87
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_87])]) ).
tff(f468,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tff(f987,plain,
spl29_86,
inference(avatar_split_clause,[],[f460,f985]) ).
tff(f460,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| p(inj__o(X0))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f265]) ).
tff(f983,plain,
spl29_85,
inference(avatar_split_clause,[],[f459,f981]) ).
tff(f459,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X0,X1,X2)
| p(inj__o(X1))
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f265]) ).
tff(f979,plain,
spl29_84,
inference(avatar_split_clause,[],[f457,f977]) ).
tff(f977,plain,
( spl29_84
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_84])]) ).
tff(f457,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X0))
| ~ p(inj__o(X2))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f265]) ).
tff(f975,plain,
spl29_83,
inference(avatar_split_clause,[],[f456,f973]) ).
tff(f973,plain,
( spl29_83
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP5(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_83])]) ).
tff(f456,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X2))
| ~ sP5(X0,X1,X2) ),
inference(cnf_transformation,[],[f265]) ).
tff(f971,plain,
( spl29_82
| ~ spl29_2
| ~ spl29_76 ),
inference(avatar_split_clause,[],[f941,f908,f574,f969]) ).
tff(f969,plain,
( spl29_82
<=> ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(fo__c_2Einteger_2Eint__divides(sK18,sK19),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_82])]) ).
tff(f941,plain,
( ! [X0: tp__o] :
( p(inj__o(X0))
| sP3(fo__c_2Einteger_2Eint__divides(sK18,sK19),X0) )
| ~ spl29_2
| ~ spl29_76 ),
inference(resolution,[],[f909,f576]) ).
tff(f967,plain,
spl29_81,
inference(avatar_split_clause,[],[f451,f965]) ).
tff(f965,plain,
( spl29_81
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_81])]) ).
tff(f451,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X1))
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
tff(f963,plain,
spl29_80,
inference(avatar_split_clause,[],[f450,f961]) ).
tff(f961,plain,
( spl29_80
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_80])]) ).
tff(f450,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
tff(f959,plain,
spl29_79,
inference(avatar_split_clause,[],[f437,f957]) ).
tff(f437,plain,
! [X2: $i,X0: del,X1: $i] :
( ( ap(k(X0,X1),X2) = X1 )
| ~ mem(X2,X0) ),
inference(cnf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: del,X1,X2] :
( ( ap(k(X0,X1),X2) = X1 )
| ~ mem(X2,X0) ),
inference(ennf_transformation,[],[f133]) ).
tff(f133,plain,
! [X0: del,X1,X2] :
( mem(X2,X0)
=> ( ap(k(X0,X1),X2) = X1 ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X0: del,X7,X3] :
( mem(X3,X0)
=> ( ap(k(X0,X7),X3) = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kbeta) ).
tff(f918,plain,
spl29_78,
inference(avatar_split_clause,[],[f540,f916]) ).
tff(f540,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| sP2(X1,X0) ),
inference(duplicate_literal_removal,[],[f412]) ).
tff(f412,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ p(inj__o(X0))
| ~ p(inj__o(X0))
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f245]) ).
tff(f245,plain,
! [X0: tp__o,X1: tp__o] :
( ( ( p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X1))
| ~ p(inj__o(X0)) ) )
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| sP2(X1,X0) ),
inference(nnf_transformation,[],[f176]) ).
tff(f176,plain,
! [X0: tp__o,X1: tp__o] :
( ( p(inj__o(X0))
<=> p(inj__o(X1)) )
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| sP2(X1,X0) ),
inference(definition_folding,[],[f163,f175]) ).
tff(f175,plain,
! [X1: tp__o,X0: tp__o] :
( ( ~ p(inj__o(X1))
& p(inj__o(X0)) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f163,plain,
! [X0: tp__o,X1: tp__o] :
( ( p(inj__o(X0))
<=> p(inj__o(X1)) )
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| ( ~ p(inj__o(X1))
& p(inj__o(X0)) ) ),
inference(flattening,[],[f162]) ).
tff(f162,plain,
! [X0: tp__o,X1: tp__o] :
( ( p(inj__o(X0))
<=> p(inj__o(X1)) )
| ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| ( ~ p(inj__o(X1))
& p(inj__o(X0)) ) ),
inference(ennf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: tp__o,X1: tp__o] :
( ( p(inj__o(X0))
=> p(inj__o(X1)) )
=> ( ( p(inj__o(X1))
=> p(inj__o(X0)) )
=> ( p(inj__o(X0))
<=> p(inj__o(X1)) ) ) ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X11: tp__o,X12: tp__o] :
( ( p(inj__o(X11))
=> p(inj__o(X12)) )
=> ( ( p(inj__o(X12))
=> p(inj__o(X11)) )
=> ( p(inj__o(X11))
<=> p(inj__o(X12)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebool_2EIMP__ANTISYM__AX) ).
tff(f914,plain,
spl29_77,
inference(avatar_split_clause,[],[f432,f912]) ).
tff(f432,plain,
! [X0: tp__o,X1: tp__o] :
( sP3(X0,X1)
| p(inj__o(X0))
| ~ p(inj__o(X1)) ),
inference(cnf_transformation,[],[f253]) ).
tff(f253,plain,
! [X0: tp__o,X1: tp__o] :
( ( sP3(X0,X1)
| ( p(inj__o(X0))
& p(inj__o(X1)) )
| ( ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP3(X0,X1) ) ),
inference(flattening,[],[f252]) ).
tff(f252,plain,
! [X0: tp__o,X1: tp__o] :
( ( sP3(X0,X1)
| ( p(inj__o(X0))
& p(inj__o(X1)) )
| ( ~ p(inj__o(X1))
& ~ p(inj__o(X0)) ) )
& ( ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) )
| ~ sP3(X0,X1) ) ),
inference(nnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X0: tp__o,X1: tp__o] :
( sP3(X0,X1)
<=> ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
tff(f910,plain,
spl29_76,
inference(avatar_split_clause,[],[f429,f908]) ).
tff(f429,plain,
! [X0: tp__o,X1: tp__o] :
( sP3(X0,X1)
| p(inj__o(X1))
| ~ p(inj__o(X0)) ),
inference(cnf_transformation,[],[f253]) ).
tff(f906,plain,
spl29_75,
inference(avatar_split_clause,[],[f428,f904]) ).
tff(f904,plain,
( spl29_75
<=> ! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_75])]) ).
tff(f428,plain,
! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
tff(f902,plain,
spl29_74,
inference(avatar_split_clause,[],[f427,f900]) ).
tff(f427,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| p(inj__o(X0))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
tff(f898,plain,
spl29_73,
inference(avatar_split_clause,[],[f385,f896]) ).
tff(f385,plain,
! [X0: del,X1: $i] :
( ( ap(i(X0),X1) = X1 )
| ~ mem(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
tff(f156,plain,
! [X0: del,X1] :
( ( ap(i(X0),X1) = X1 )
| ~ mem(X1,X0) ),
inference(ennf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: del,X1] :
( mem(X1,X0)
=> ( ap(i(X0),X1) = X1 ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X0: del,X3] :
( mem(X3,X0)
=> ( ap(i(X0),X3) = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ibeta) ).
tff(f894,plain,
spl29_72,
inference(avatar_split_clause,[],[f350,f892]) ).
tff(f350,plain,
! [X0: $i] :
( p(ap(c_2Ebool_2E_7E,X0))
| p(X0)
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f206]) ).
tff(f206,plain,
! [X0] :
( ( ( p(ap(c_2Ebool_2E_7E,X0))
| p(X0) )
& ( ~ p(X0)
| ~ p(ap(c_2Ebool_2E_7E,X0)) ) )
| ~ mem(X0,bool) ),
inference(nnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0] :
( ( p(ap(c_2Ebool_2E_7E,X0))
<=> ~ p(X0) )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0] :
( mem(X0,bool)
=> ( p(ap(c_2Ebool_2E_7E,X0))
<=> ~ p(X0) ) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X4] :
( mem(X4,bool)
=> ( p(ap(c_2Ebool_2E_7E,X4))
<=> ~ p(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_neg_p) ).
tff(f890,plain,
spl29_71,
inference(avatar_split_clause,[],[f349,f888]) ).
tff(f349,plain,
! [X0: $i] :
( ~ p(X0)
| ~ p(ap(c_2Ebool_2E_7E,X0))
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f206]) ).
tff(f886,plain,
( spl29_70
| ~ spl29_8
| ~ spl29_48 ),
inference(avatar_split_clause,[],[f870,f786,f604,f883]) ).
tff(f870,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2ET)) = ap(c_2Ebool_2E_7E,c_2Ebool_2ET) )
| ~ spl29_8
| ~ spl29_48 ),
inference(superposition,[],[f787,f606]) ).
tff(f881,plain,
( spl29_69
| ~ spl29_7
| ~ spl29_48 ),
inference(avatar_split_clause,[],[f869,f786,f599,f878]) ).
tff(f869,plain,
( ( inj__o(fo__c_2Ebool_2E_7E(fo__c_2Ebool_2EF)) = ap(c_2Ebool_2E_7E,c_2Ebool_2EF) )
| ~ spl29_7
| ~ spl29_48 ),
inference(superposition,[],[f787,f601]) ).
tff(f868,plain,
spl29_68,
inference(avatar_split_clause,[],[f546,f866]) ).
tff(f546,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( fo__c_2Einteger_2Eint__sub(X0,X1) = fo__c_2Einteger_2Eint__add(X0,fo__c_2Einteger_2Eint__neg(X1)) ),
inference(forward_demodulation,[],[f545,f326]) ).
tff(f326,plain,
! [X0: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(X0)) = X0 ),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
! [X0: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(X0)) = X0 ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X3: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(X3)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_surj_ty_2Einteger_2Eint) ).
tff(f545,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( fo__c_2Einteger_2Eint__add(X0,fo__c_2Einteger_2Eint__neg(X1)) = surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(X0,X1))) ),
inference(forward_demodulation,[],[f544,f366]) ).
tff(f544,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) = fo__c_2Einteger_2Eint__add(X0,fo__c_2Einteger_2Eint__neg(X1)) ),
inference(forward_demodulation,[],[f543,f326]) ).
tff(f543,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) = surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__add(X0,fo__c_2Einteger_2Eint__neg(X1)))) ),
inference(forward_demodulation,[],[f542,f367]) ).
tff(f542,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X1)))) ),
inference(forward_demodulation,[],[f372,f327]) ).
tff(f372,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) ),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X0)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X1)))) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X23: tp__ty_2Einteger_2Eint,X24: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X23)),inj__ty_2Einteger_2Eint(X24))) = surj__ty_2Einteger_2Eint(ap(ap(c_2Einteger_2Eint__add,inj__ty_2Einteger_2Eint(X23)),ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X24)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Einteger_2Eint__sub) ).
tff(f864,plain,
spl29_67,
inference(avatar_split_clause,[],[f534,f862]) ).
tff(f862,plain,
( spl29_67
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X2,X1,X0)
| ~ sP17(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_67])]) ).
tff(f534,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP16(X2,X1,X0)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f303]) ).
tff(f303,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP16(X2,X1,X0)
| ~ sP17(X0,X1,X2) )
& ( sP17(X0,X1,X2)
| ~ sP16(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f196]) ).
tff(f196,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP16(X2,X1,X0)
<=> sP17(X0,X1,X2) ),
inference(definition_folding,[],[f140,f195,f194,f193,f192,f191]) ).
tff(f140,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X1))
<=> p(inj__o(X2)) ) )
<=> ( ( ~ p(inj__o(X0))
| ~ p(inj__o(X1))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| ~ p(inj__o(X2))
| p(inj__o(X1)) )
& ( ~ p(inj__o(X1))
| ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X2))
| p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(rectify,[],[f64]) ).
tff(f64,axiom,
! [X25: tp__o,X26: tp__o,X27: tp__o] :
( ( p(inj__o(X25))
<=> ( p(inj__o(X26))
<=> p(inj__o(X27)) ) )
<=> ( ( ~ p(inj__o(X25))
| ~ p(inj__o(X26))
| p(inj__o(X27)) )
& ( ~ p(inj__o(X25))
| ~ p(inj__o(X27))
| p(inj__o(X26)) )
& ( ~ p(inj__o(X26))
| ~ p(inj__o(X27))
| p(inj__o(X25)) )
& ( p(inj__o(X27))
| p(inj__o(X26))
| p(inj__o(X25)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Esat_2Edc__eq) ).
tff(f860,plain,
spl29_66,
inference(avatar_split_clause,[],[f533,f858]) ).
tff(f533,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP17(X0,X1,X2)
| ~ sP16(X2,X1,X0) ),
inference(cnf_transformation,[],[f303]) ).
tff(f856,plain,
spl29_65,
inference(avatar_split_clause,[],[f508,f854]) ).
tff(f854,plain,
( spl29_65
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X2,X1)
| ~ sP17(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_65])]) ).
tff(f508,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X2,X1)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
tff(f852,plain,
spl29_64,
inference(avatar_split_clause,[],[f507,f850]) ).
tff(f850,plain,
( spl29_64
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X1,X2,X0)
| ~ sP17(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_64])]) ).
tff(f507,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X1,X2,X0)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
tff(f848,plain,
spl29_63,
inference(avatar_split_clause,[],[f506,f846]) ).
tff(f846,plain,
( spl29_63
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X2,X1,X0)
| ~ sP17(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_63])]) ).
tff(f506,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X2,X1,X0)
| ~ sP17(X0,X1,X2) ),
inference(cnf_transformation,[],[f291]) ).
tff(f844,plain,
spl29_62,
inference(avatar_split_clause,[],[f505,f842]) ).
tff(f842,plain,
( spl29_62
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X2,X1,X0)
| ~ sP12(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_62])]) ).
tff(f505,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP11(X2,X1,X0)
| ~ sP12(X1,X2,X0) ),
inference(cnf_transformation,[],[f289]) ).
tff(f289,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP11(X2,X1,X0)
| ~ sP12(X1,X2,X0) )
& ( sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f190]) ).
tff(f190,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP11(X2,X1,X0)
<=> sP12(X1,X2,X0) ),
inference(definition_folding,[],[f171,f189,f188,f187]) ).
tff(f171,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X2))
| ~ p(inj__o(X1)) ) )
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(ennf_transformation,[],[f139]) ).
tff(f139,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X1))
=> p(inj__o(X2)) ) )
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2))
| ~ p(inj__o(X1)) )
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(rectify,[],[f67]) ).
tff(f67,axiom,
! [X25: tp__o,X26: tp__o,X27: tp__o] :
( ( p(inj__o(X25))
<=> ( p(inj__o(X26))
=> p(inj__o(X27)) ) )
<=> ( ( ~ p(inj__o(X25))
| p(inj__o(X27))
| ~ p(inj__o(X26)) )
& ( ~ p(inj__o(X27))
| p(inj__o(X25)) )
& ( p(inj__o(X26))
| p(inj__o(X25)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Esat_2Edc__imp) ).
tff(f840,plain,
spl29_61,
inference(avatar_split_clause,[],[f504,f838]) ).
tff(f504,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP12(X1,X2,X0)
| ~ sP11(X2,X1,X0) ),
inference(cnf_transformation,[],[f289]) ).
tff(f836,plain,
spl29_60,
inference(avatar_split_clause,[],[f489,f834]) ).
tff(f834,plain,
( spl29_60
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X2,X1,X0)
| ~ sP12(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_60])]) ).
tff(f489,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X2,X1,X0)
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f282]) ).
tff(f832,plain,
spl29_59,
inference(avatar_split_clause,[],[f486,f830]) ).
tff(f830,plain,
( spl29_59
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X2,X1,X0)
| ~ sP9(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_59])]) ).
tff(f486,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP8(X2,X1,X0)
| ~ sP9(X1,X2,X0) ),
inference(cnf_transformation,[],[f279]) ).
tff(f279,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP8(X2,X1,X0)
| ~ sP9(X1,X2,X0) )
& ( sP9(X1,X2,X0)
| ~ sP8(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f186]) ).
tff(f186,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP8(X2,X1,X0)
<=> sP9(X1,X2,X0) ),
inference(definition_folding,[],[f138,f185,f184,f183]) ).
tff(f138,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X2))
| p(inj__o(X1)) ) )
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2))
| p(inj__o(X1)) )
& ( ~ p(inj__o(X2))
| p(inj__o(X0)) )
& ( ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(rectify,[],[f66]) ).
tff(f66,axiom,
! [X25: tp__o,X26: tp__o,X27: tp__o] :
( ( p(inj__o(X25))
<=> ( p(inj__o(X27))
| p(inj__o(X26)) ) )
<=> ( ( ~ p(inj__o(X25))
| p(inj__o(X27))
| p(inj__o(X26)) )
& ( ~ p(inj__o(X27))
| p(inj__o(X25)) )
& ( ~ p(inj__o(X26))
| p(inj__o(X25)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Esat_2Edc__disj) ).
tff(f828,plain,
spl29_58,
inference(avatar_split_clause,[],[f485,f826]) ).
tff(f485,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP9(X1,X2,X0)
| ~ sP8(X2,X1,X0) ),
inference(cnf_transformation,[],[f279]) ).
tff(f824,plain,
spl29_57,
inference(avatar_split_clause,[],[f470,f822]) ).
tff(f822,plain,
( spl29_57
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X2,X1,X0)
| ~ sP9(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_57])]) ).
tff(f470,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X2,X1,X0)
| ~ sP9(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tff(f820,plain,
spl29_56,
inference(avatar_split_clause,[],[f467,f818]) ).
tff(f818,plain,
( spl29_56
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X2,X1,X0)
| ~ sP6(X0,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_56])]) ).
tff(f467,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP5(X2,X1,X0)
| ~ sP6(X0,X2,X1) ),
inference(cnf_transformation,[],[f269]) ).
tff(f269,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( sP5(X2,X1,X0)
| ~ sP6(X0,X2,X1) )
& ( sP6(X0,X2,X1)
| ~ sP5(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f182]) ).
tff(f182,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( sP5(X2,X1,X0)
<=> sP6(X0,X2,X1) ),
inference(definition_folding,[],[f137,f181,f180,f179]) ).
tff(f137,plain,
! [X0: tp__o,X1: tp__o,X2: tp__o] :
( ( p(inj__o(X0))
<=> ( p(inj__o(X2))
& p(inj__o(X1)) ) )
<=> ( ( ~ p(inj__o(X0))
| p(inj__o(X2)) )
& ( ~ p(inj__o(X0))
| p(inj__o(X1)) )
& ( ~ p(inj__o(X2))
| ~ p(inj__o(X1))
| p(inj__o(X0)) ) ) ),
inference(rectify,[],[f65]) ).
tff(f65,axiom,
! [X25: tp__o,X26: tp__o,X27: tp__o] :
( ( p(inj__o(X25))
<=> ( p(inj__o(X27))
& p(inj__o(X26)) ) )
<=> ( ( ~ p(inj__o(X25))
| p(inj__o(X27)) )
& ( ~ p(inj__o(X25))
| p(inj__o(X26)) )
& ( ~ p(inj__o(X27))
| ~ p(inj__o(X26))
| p(inj__o(X25)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Esat_2Edc__conj) ).
tff(f816,plain,
spl29_55,
inference(avatar_split_clause,[],[f466,f814]) ).
tff(f466,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP6(X0,X2,X1)
| ~ sP5(X2,X1,X0) ),
inference(cnf_transformation,[],[f269]) ).
tff(f812,plain,
spl29_54,
inference(avatar_split_clause,[],[f449,f810]) ).
tff(f810,plain,
( spl29_54
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X1,X2,X0)
| ~ sP6(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_54])]) ).
tff(f449,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X1,X2,X0)
| ~ sP6(X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
tff(f808,plain,
spl29_53,
inference(avatar_split_clause,[],[f348,f806]) ).
tff(f348,plain,
! [X0: $i] :
( ( inj__o(surj__o(X0)) = X0 )
| ~ mem(X0,bool) ),
inference(cnf_transformation,[],[f146]) ).
tff(f146,plain,
! [X0] :
( ( inj__o(surj__o(X0)) = X0 )
| ~ mem(X0,bool) ),
inference(ennf_transformation,[],[f96]) ).
tff(f96,plain,
! [X0] :
( mem(X0,bool)
=> ( inj__o(surj__o(X0)) = X0 ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3] :
( mem(X3,bool)
=> ( inj__o(surj__o(X3)) = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_iso_mem_o) ).
tff(f804,plain,
spl29_52,
inference(avatar_split_clause,[],[f347,f802]) ).
tff(f347,plain,
! [X0: $i] :
( ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X0)) = X0 )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(cnf_transformation,[],[f145]) ).
tff(f145,plain,
! [X0] :
( ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X0)) = X0 )
| ~ mem(X0,ty_2Einteger_2Eint) ),
inference(ennf_transformation,[],[f95]) ).
tff(f95,plain,
! [X0] :
( mem(X0,ty_2Einteger_2Eint)
=> ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X0)) = X0 ) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X3] :
( mem(X3,ty_2Einteger_2Eint)
=> ( inj__ty_2Einteger_2Eint(surj__ty_2Einteger_2Eint(X3)) = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_iso_mem_ty_2Einteger_2Eint) ).
tff(f800,plain,
spl29_51,
inference(avatar_split_clause,[],[f331,f798]) ).
tff(f331,plain,
! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))),
inference(cnf_transformation,[],[f82]) ).
tff(f82,plain,
! [X0: del] : mem(c_2Emin_2E_3D(X0),arr(X0,arr(X0,bool))),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X8: del] : mem(c_2Emin_2E_3D(X8),arr(X8,arr(X8,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D) ).
tff(f796,plain,
spl29_50,
inference(avatar_split_clause,[],[f330,f794]) ).
tff(f330,plain,
! [X0: del] : mem(c_2Ebool_2E_3F(X0),arr(arr(X0,bool),bool)),
inference(cnf_transformation,[],[f81]) ).
tff(f81,plain,
! [X0: del] : mem(c_2Ebool_2E_3F(X0),arr(arr(X0,bool),bool)),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X8: del] : mem(c_2Ebool_2E_3F(X8),arr(arr(X8,bool),bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_3F) ).
tff(f792,plain,
spl29_49,
inference(avatar_split_clause,[],[f329,f790]) ).
tff(f329,plain,
! [X0: del] : mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool)),
inference(cnf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0: del] : mem(c_2Ebool_2E_21(X0),arr(arr(X0,bool),bool)),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X8: del] : mem(c_2Ebool_2E_21(X8),arr(arr(X8,bool),bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_21) ).
tff(f788,plain,
spl29_48,
inference(avatar_split_clause,[],[f328,f786]) ).
tff(f328,plain,
! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) ),
inference(cnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X0)) = ap(c_2Ebool_2E_7E,inj__o(X0)) ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X9: tp__o] : ( inj__o(fo__c_2Ebool_2E_7E(X9)) = ap(c_2Ebool_2E_7E,inj__o(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2E_7E) ).
tff(f784,plain,
spl29_47,
inference(avatar_split_clause,[],[f327,f782]) ).
tff(f782,plain,
( spl29_47
<=> ! [X0: tp__ty_2Einteger_2Eint] : ( inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__neg(X0)) = ap(c_2Einteger_2Eint__neg,inj__ty_2Einteger_2Eint(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_47])]) ).
tff(f780,plain,
spl29_46,
inference(avatar_split_clause,[],[f532,f778]) ).
tff(f778,plain,
( spl29_46
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_46])]) ).
tff(f532,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X0)) ),
inference(cnf_transformation,[],[f302]) ).
tff(f776,plain,
spl29_45,
inference(avatar_split_clause,[],[f531,f774]) ).
tff(f774,plain,
( spl29_45
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_45])]) ).
tff(f531,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X1)) ),
inference(cnf_transformation,[],[f302]) ).
tff(f772,plain,
spl29_44,
inference(avatar_split_clause,[],[f530,f770]) ).
tff(f770,plain,
( spl29_44
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_44])]) ).
tff(f530,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP13(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f302]) ).
tff(f768,plain,
spl29_43,
inference(avatar_split_clause,[],[f528,f766]) ).
tff(f766,plain,
( spl29_43
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_43])]) ).
tff(f528,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f299]) ).
tff(f764,plain,
spl29_42,
inference(avatar_split_clause,[],[f527,f762]) ).
tff(f762,plain,
( spl29_42
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_42])]) ).
tff(f527,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| p(inj__o(X1)) ),
inference(cnf_transformation,[],[f299]) ).
tff(f760,plain,
spl29_41,
inference(avatar_split_clause,[],[f526,f758]) ).
tff(f758,plain,
( spl29_41
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_41])]) ).
tff(f526,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP14(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f299]) ).
tff(f756,plain,
spl29_40,
inference(avatar_split_clause,[],[f524,f754]) ).
tff(f524,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f296]) ).
tff(f752,plain,
spl29_39,
inference(avatar_split_clause,[],[f523,f750]) ).
tff(f523,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| p(inj__o(X1)) ),
inference(cnf_transformation,[],[f296]) ).
tff(f748,plain,
spl29_38,
inference(avatar_split_clause,[],[f522,f746]) ).
tff(f522,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP15(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f296]) ).
tff(f744,plain,
spl29_37,
inference(avatar_split_clause,[],[f503,f742]) ).
tff(f742,plain,
( spl29_37
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_37])]) ).
tff(f503,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f288]) ).
tff(f740,plain,
spl29_36,
inference(avatar_split_clause,[],[f502,f738]) ).
tff(f738,plain,
( spl29_36
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| ~ p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_36])]) ).
tff(f502,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| ~ p(inj__o(X1)) ),
inference(cnf_transformation,[],[f288]) ).
tff(f736,plain,
spl29_35,
inference(avatar_split_clause,[],[f501,f734]) ).
tff(f734,plain,
( spl29_35
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_35])]) ).
tff(f501,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP10(X0,X1,X2)
| p(inj__o(X2)) ),
inference(cnf_transformation,[],[f288]) ).
tff(f732,plain,
spl29_34,
inference(avatar_split_clause,[],[f484,f730]) ).
tff(f730,plain,
( spl29_34
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_34])]) ).
tff(f484,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f278]) ).
tff(f728,plain,
spl29_33,
inference(avatar_split_clause,[],[f483,f726]) ).
tff(f726,plain,
( spl29_33
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_33])]) ).
tff(f483,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ p(inj__o(X1)) ),
inference(cnf_transformation,[],[f278]) ).
tff(f724,plain,
spl29_32,
inference(avatar_split_clause,[],[f482,f722]) ).
tff(f722,plain,
( spl29_32
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_32])]) ).
tff(f482,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP7(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f278]) ).
tff(f720,plain,
spl29_31,
inference(avatar_split_clause,[],[f465,f718]) ).
tff(f718,plain,
( spl29_31
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| p(inj__o(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_31])]) ).
tff(f465,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| p(inj__o(X0)) ),
inference(cnf_transformation,[],[f268]) ).
tff(f716,plain,
spl29_30,
inference(avatar_split_clause,[],[f464,f714]) ).
tff(f714,plain,
( spl29_30
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| p(inj__o(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_30])]) ).
tff(f464,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| p(inj__o(X1)) ),
inference(cnf_transformation,[],[f268]) ).
tff(f712,plain,
( spl29_29
| ~ spl29_8
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f637,f629,f604,f709]) ).
tff(f637,plain,
( ( fo__c_2Ebool_2ET = surj__o(c_2Ebool_2ET) )
| ~ spl29_8
| ~ spl29_13 ),
inference(superposition,[],[f630,f606]) ).
tff(f707,plain,
spl29_28,
inference(avatar_split_clause,[],[f463,f705]) ).
tff(f705,plain,
( spl29_28
<=> ! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| ~ p(inj__o(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_28])]) ).
tff(f463,plain,
! [X2: tp__o,X0: tp__o,X1: tp__o] :
( sP4(X0,X1,X2)
| ~ p(inj__o(X2)) ),
inference(cnf_transformation,[],[f268]) ).
tff(f703,plain,
spl29_27,
inference(avatar_split_clause,[],[f320,f700]) ).
tff(f320,plain,
mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
inference(cnf_transformation,[],[f23]) ).
tff(f23,axiom,
mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__divides) ).
tff(f698,plain,
spl29_26,
inference(avatar_split_clause,[],[f319,f695]) ).
tff(f319,plain,
mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__sub) ).
tff(f693,plain,
spl29_25,
inference(avatar_split_clause,[],[f318,f690]) ).
tff(f318,plain,
mem(c_2Einteger_2Eint__add,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
mem(c_2Einteger_2Eint__add,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__add) ).
tff(f688,plain,
spl29_24,
inference(avatar_split_clause,[],[f317,f685]) ).
tff(f317,plain,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f34]) ).
tff(f34,axiom,
mem(c_2Ebool_2E_2F_5C,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_2F_5C) ).
tff(f683,plain,
spl29_23,
inference(avatar_split_clause,[],[f316,f680]) ).
tff(f316,plain,
mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f31]) ).
tff(f31,axiom,
mem(c_2Ebool_2E_5C_2F,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_5C_2F) ).
tff(f678,plain,
spl29_22,
inference(avatar_split_clause,[],[f315,f675]) ).
tff(f315,plain,
mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
inference(cnf_transformation,[],[f28]) ).
tff(f28,axiom,
mem(c_2Emin_2E_3D_3D_3E,arr(bool,arr(bool,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Emin_2E_3D_3D_3E) ).
tff(f673,plain,
spl29_21,
inference(avatar_split_clause,[],[f410,f671]) ).
tff(f410,plain,
! [X0: tp__o,X1: tp__o] :
( ~ p(inj__o(X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
tff(f244,plain,
! [X0: tp__o,X1: tp__o] :
( ( ~ p(inj__o(X0))
& p(inj__o(X1)) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f243]) ).
tff(f243,plain,
! [X1: tp__o,X0: tp__o] :
( ( ~ p(inj__o(X1))
& p(inj__o(X0)) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f175]) ).
tff(f669,plain,
( spl29_20
| ~ spl29_7
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f636,f629,f599,f666]) ).
tff(f666,plain,
( spl29_20
<=> ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).
tff(f636,plain,
( ( fo__c_2Ebool_2EF = surj__o(c_2Ebool_2EF) )
| ~ spl29_7
| ~ spl29_13 ),
inference(superposition,[],[f630,f601]) ).
tff(f664,plain,
spl29_19,
inference(avatar_split_clause,[],[f409,f662]) ).
tff(f409,plain,
! [X0: tp__o,X1: tp__o] :
( p(inj__o(X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
tff(f660,plain,
( ~ spl29_15
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f306,f643,f639]) ).
tff(f306,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19)))) ),
inference(cnf_transformation,[],[f200]) ).
tff(f200,plain,
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19)))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19)))) )
& p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK19))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f198,f199]) ).
tff(f199,plain,
( ? [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))) )
& p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) )
=> ( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19)))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19)))) )
& p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK19))) ) ),
introduced(choice_axiom,[]) ).
tff(f198,plain,
? [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))) )
& p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(flattening,[],[f197]) ).
tff(f197,plain,
? [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))) )
& ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1)))) )
& p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(nnf_transformation,[],[f141]) ).
tff(f141,plain,
? [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
<~> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2))) )
& p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1))) ),
inference(ennf_transformation,[],[f71]) ).
tff(f71,plain,
~ ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint,X2: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X1)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X2)),inj__ty_2Einteger_2Eint(X1))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X0)),inj__ty_2Einteger_2Eint(X2))) ) ),
inference(rectify,[],[f70]) ).
tff(f70,negated_conjecture,
~ ! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint,X27: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X27)),inj__ty_2Einteger_2Eint(X26))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X27))) ) ),
inference(negated_conjecture,[],[f69]) ).
tff(f69,conjecture,
! [X25: tp__ty_2Einteger_2Eint,X26: tp__ty_2Einteger_2Eint,X27: tp__ty_2Einteger_2Eint] :
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X26)))
=> ( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(X27)),inj__ty_2Einteger_2Eint(X26))))
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(X25)),inj__ty_2Einteger_2Eint(X27))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).
tff(f659,plain,
( ~ spl29_18
| spl29_15 ),
inference(avatar_split_clause,[],[f649,f639,f656]) ).
tff(f649,plain,
( ~ p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,fo__c_2Einteger_2Eint__sub(sK20,sK19))))
| spl29_15 ),
inference(forward_demodulation,[],[f648,f371]) ).
tff(f648,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(fo__c_2Einteger_2Eint__sub(sK20,sK19))))
| spl29_15 ),
inference(forward_demodulation,[],[f640,f366]) ).
tff(f640,plain,
( ~ p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19))))
| spl29_15 ),
inference(avatar_component_clause,[],[f639]) ).
tff(f654,plain,
( spl29_17
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f647,f643,f651]) ).
tff(f647,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK20)))
| ~ spl29_16 ),
inference(forward_demodulation,[],[f645,f371]) ).
tff(f645,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20)))
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f643]) ).
tff(f646,plain,
( spl29_15
| spl29_16 ),
inference(avatar_split_clause,[],[f305,f643,f639]) ).
tff(f305,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK20)))
| p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),ap(ap(c_2Einteger_2Eint__sub,inj__ty_2Einteger_2Eint(sK20)),inj__ty_2Einteger_2Eint(sK19)))) ),
inference(cnf_transformation,[],[f200]) ).
tff(f635,plain,
spl29_14,
inference(avatar_split_clause,[],[f326,f633]) ).
tff(f633,plain,
( spl29_14
<=> ! [X0: tp__ty_2Einteger_2Eint] : ( surj__ty_2Einteger_2Eint(inj__ty_2Einteger_2Eint(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_14])]) ).
tff(f631,plain,
spl29_13,
inference(avatar_split_clause,[],[f325,f629]) ).
tff(f325,plain,
! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ),
inference(cnf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: tp__o] : ( surj__o(inj__o(X0)) = X0 ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X3: tp__o] : ( surj__o(inj__o(X3)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_surj_o) ).
tff(f627,plain,
spl29_12,
inference(avatar_split_clause,[],[f314,f624]) ).
tff(f314,plain,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__neg) ).
tff(f622,plain,
spl29_11,
inference(avatar_split_clause,[],[f313,f619]) ).
tff(f313,plain,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
inference(cnf_transformation,[],[f37]) ).
tff(f37,axiom,
mem(c_2Ebool_2E_7E,arr(bool,bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2E_7E) ).
tff(f615,plain,
spl29_10,
inference(avatar_split_clause,[],[f324,f613]) ).
tff(f324,plain,
! [X0: tp__o] : mem(inj__o(X0),bool),
inference(cnf_transformation,[],[f75]) ).
tff(f75,plain,
! [X0: tp__o] : mem(inj__o(X0),bool),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X3: tp__o] : mem(inj__o(X3),bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_mem_o) ).
tff(f611,plain,
spl29_9,
inference(avatar_split_clause,[],[f323,f609]) ).
tff(f323,plain,
! [X0: tp__ty_2Einteger_2Eint] : mem(inj__ty_2Einteger_2Eint(X0),ty_2Einteger_2Eint),
inference(cnf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: tp__ty_2Einteger_2Eint] : mem(inj__ty_2Einteger_2Eint(X0),ty_2Einteger_2Eint),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X3: tp__ty_2Einteger_2Eint] : mem(inj__ty_2Einteger_2Eint(X3),ty_2Einteger_2Eint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_inj_mem_ty_2Einteger_2Eint) ).
tff(f607,plain,
spl29_8,
inference(avatar_split_clause,[],[f312,f604]) ).
tff(f312,plain,
c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
c_2Ebool_2ET = inj__o(fo__c_2Ebool_2ET),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2ET) ).
tff(f602,plain,
spl29_7,
inference(avatar_split_clause,[],[f311,f599]) ).
tff(f311,plain,
c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF),
inference(cnf_transformation,[],[f26]) ).
tff(f26,axiom,
c_2Ebool_2EF = inj__o(fo__c_2Ebool_2EF),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stp_eq_fo_c_2Ebool_2EF) ).
tff(f597,plain,
spl29_6,
inference(avatar_split_clause,[],[f310,f594]) ).
tff(f310,plain,
mem(c_2Ebool_2EF,bool),
inference(cnf_transformation,[],[f25]) ).
tff(f25,axiom,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2EF) ).
tff(f592,plain,
spl29_5,
inference(avatar_split_clause,[],[f309,f589]) ).
tff(f309,plain,
mem(c_2Ebool_2ET,bool),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).
tff(f587,plain,
spl29_4,
inference(avatar_split_clause,[],[f308,f584]) ).
tff(f308,plain,
p(c_2Ebool_2ET),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_true_p) ).
tff(f582,plain,
~ spl29_3,
inference(avatar_split_clause,[],[f307,f579]) ).
tff(f307,plain,
~ p(c_2Ebool_2EF),
inference(cnf_transformation,[],[f27]) ).
tff(f27,axiom,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_false_p) ).
tff(f577,plain,
( spl29_2
| ~ spl29_1 ),
inference(avatar_split_clause,[],[f572,f568,f574]) ).
tff(f568,plain,
( spl29_1
<=> p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).
tff(f572,plain,
( p(inj__o(fo__c_2Einteger_2Eint__divides(sK18,sK19)))
| ~ spl29_1 ),
inference(forward_demodulation,[],[f570,f371]) ).
tff(f570,plain,
( p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK19)))
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f571,plain,
spl29_1,
inference(avatar_split_clause,[],[f304,f568]) ).
tff(f304,plain,
p(ap(ap(c_2Einteger_2Eint__divides,inj__ty_2Einteger_2Eint(sK18)),inj__ty_2Einteger_2Eint(sK19))),
inference(cnf_transformation,[],[f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP012_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:12:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (24293)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (24298)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (24299)WARNING: value z3 for option sas not known
% 0.14/0.37 % (24297)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (24300)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (24299)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)
% 0.14/0.37 % (24301)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)
% 0.14/0.37 % (24302)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)
% 0.14/0.37 % (24303)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)
% 0.21/0.41 TRYING [1,1,1,1]
% 0.21/0.41 TRYING [1,2,1,1]
% 0.21/0.42 TRYING [1,3,1,1]
% 0.21/0.46 TRYING [1,2,2,1]
% 0.21/0.47 TRYING [2,2,2,1]
% 0.21/0.49 TRYING [1,3,2,1]
% 0.21/0.51 TRYING [2,3,2,1]
% 0.21/0.53 TRYING [1,4,1,1]
% 0.21/0.56 % (24301)First to succeed.
% 0.21/0.57 % (24301)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24293"
% 0.21/0.58 TRYING [1,4,2,1]
% 0.21/0.58 % (24301)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Theorem for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59 % (24301)------------------------------
% 0.21/0.59 % (24301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.59 % (24301)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (24301)Memory used [KB]: 4344
% 0.21/0.59 % (24301)Time elapsed: 0.202 s
% 0.21/0.59 % (24301)Instructions burned: 485 (million)
% 0.21/0.59 % (24293)Success in time 0.227 s
%------------------------------------------------------------------------------