0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.13/0.32 % Computer : n027.cluster.edu 0.13/0.32 % Model : x86_64 x86_64 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.32 % Memory : 8042.1875MB 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.32 % CPULimit : 300 0.13/0.32 % WCLimit : 300 0.13/0.32 % DateTime : Fri Jul 5 04:24:38 EDT 2024 0.13/0.32 % CPUTime : 0.13/0.34 This is a TFF_ problem 0.13/0.35 Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.35 % (18045)Running in auto input_syntax mode. Trying TPTP 0.21/0.39 % (18048)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on theBenchmark for (476ds/0Mi) 0.21/0.41 % (18049)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi) 0.21/0.41 % (18046)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on theBenchmark for (1034ds/0Mi) 0.21/0.41 % (18047)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on theBenchmark for (572ds/0Mi) 0.21/0.41 % (18050)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on theBenchmark for (408ds/0Mi) 0.21/0.41 % (18051)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi) 0.21/0.41 % (18052)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on theBenchmark for (280ds/0Mi) 14.20/2.43 % (18047)First to succeed. 15.15/2.49 % (18047)Refutation found. Thanks to Tanya! 15.15/2.49 % SZS status Theorem for theBenchmark 15.15/2.49 % SZS output start Proof for theBenchmark 15.15/2.49 tff(type_def_5, type, uni: $tType). 15.15/2.49 tff(type_def_6, type, ty: $tType). 15.15/2.49 tff(type_def_7, type, bool1: $tType). 15.15/2.49 tff(type_def_8, type, tuple02: $tType). 15.15/2.49 tff(type_def_9, type, set_int: $tType). 15.15/2.49 tff(type_def_10, type, map_int_int: $tType). 15.15/2.49 tff(type_def_11, type, map_int_lpmap_int_intrp: $tType). 15.15/2.49 tff(func_def_0, type, witness1: ty > uni). 15.15/2.49 tff(func_def_1, type, int: ty). 15.15/2.49 tff(func_def_2, type, real: ty). 15.15/2.49 tff(func_def_3, type, bool: ty). 15.15/2.49 tff(func_def_4, type, true1: bool1). 15.15/2.49 tff(func_def_5, type, false1: bool1). 15.15/2.49 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 15.15/2.49 tff(func_def_7, type, tuple0: ty). 15.15/2.49 tff(func_def_8, type, tuple03: tuple02). 15.15/2.49 tff(func_def_9, type, qtmark: ty). 15.15/2.49 tff(func_def_10, type, set: ty > ty). 15.15/2.49 tff(func_def_11, type, empty: ty > uni). 15.15/2.49 tff(func_def_12, type, add: (ty * uni * uni) > uni). 15.15/2.49 tff(func_def_13, type, remove: (ty * uni * uni) > uni). 15.15/2.49 tff(func_def_14, type, union: (ty * uni * uni) > uni). 15.15/2.49 tff(func_def_15, type, inter: (ty * uni * uni) > uni). 15.15/2.49 tff(func_def_16, type, diff: (ty * uni * uni) > uni). 15.15/2.49 tff(func_def_17, type, choose: (ty * uni) > uni). 15.15/2.49 tff(func_def_18, type, cardinal1: (ty * uni) > $int). 15.15/2.49 tff(func_def_19, type, min_elt1: set_int > $int). 15.15/2.49 tff(func_def_20, type, t2tb: set_int > uni). 15.15/2.49 tff(func_def_21, type, tb2t: uni > set_int). 15.15/2.49 tff(func_def_22, type, t2tb1: $int > uni). 15.15/2.49 tff(func_def_23, type, tb2t1: uni > $int). 15.15/2.49 tff(func_def_24, type, max_elt1: set_int > $int). 15.15/2.49 tff(func_def_25, type, below1: $int > set_int). 15.15/2.49 tff(func_def_26, type, succ1: set_int > set_int). 15.15/2.49 tff(func_def_27, type, pred1: set_int > set_int). 15.15/2.49 tff(func_def_28, type, ref: ty > ty). 15.15/2.49 tff(func_def_29, type, mk_ref: (ty * uni) > uni). 15.15/2.49 tff(func_def_30, type, contents: (ty * uni) > uni). 15.15/2.49 tff(func_def_31, type, map: (ty * ty) > ty). 15.15/2.49 tff(func_def_32, type, get: (ty * ty * uni * uni) > uni). 15.15/2.49 tff(func_def_33, type, set1: (ty * ty * uni * uni * uni) > uni). 15.15/2.49 tff(func_def_34, type, const: (ty * ty * uni) > uni). 15.15/2.49 tff(func_def_35, type, n1: $int). 15.15/2.49 tff(func_def_36, type, t2tb2: map_int_int > uni). 15.15/2.49 tff(func_def_37, type, tb2t2: uni > map_int_int). 15.15/2.49 tff(func_def_38, type, t2tb3: map_int_lpmap_int_intrp > uni). 15.15/2.49 tff(func_def_39, type, tb2t3: uni > map_int_lpmap_int_intrp). 15.15/2.49 tff(func_def_46, type, sK0: set_int). 15.15/2.49 tff(func_def_47, type, sK1: set_int). 15.15/2.49 tff(func_def_48, type, sK2: set_int). 15.15/2.49 tff(func_def_49, type, sK3: $int). 15.15/2.49 tff(func_def_50, type, sK4: map_int_lpmap_int_intrp). 15.15/2.49 tff(func_def_51, type, sK5: $int). 15.15/2.49 tff(func_def_52, type, sK6: map_int_int). 15.15/2.49 tff(func_def_53, type, sK7: $int). 15.15/2.49 tff(func_def_54, type, sK8: set_int). 15.15/2.49 tff(func_def_55, type, sK9: $int). 15.15/2.49 tff(func_def_56, type, sK10: map_int_lpmap_int_intrp). 15.15/2.49 tff(func_def_57, type, sK11: $int). 15.15/2.49 tff(func_def_58, type, sK12: map_int_int). 15.15/2.49 tff(func_def_59, type, sK13: map_int_int). 15.15/2.49 tff(func_def_60, type, sK14: $int). 15.15/2.49 tff(func_def_61, type, sK15: $int). 15.15/2.49 tff(func_def_62, type, sK16: $int). 15.15/2.49 tff(func_def_63, type, sK17: map_int_int > $int). 15.15/2.49 tff(func_def_64, type, sK18: $int > $int). 15.15/2.49 tff(func_def_65, type, sK19: $int > $int). 15.15/2.49 tff(func_def_66, type, sK20: $int > $int). 15.15/2.49 tff(func_def_67, type, sK21: (ty * uni) > uni). 15.15/2.49 tff(func_def_68, type, sK22: ($int * map_int_int) > $int). 15.15/2.49 tff(func_def_69, type, sK23: ($int * map_int_int) > $int). 15.15/2.49 tff(func_def_70, type, sK24: (map_int_int * map_int_int) > $int). 15.15/2.49 tff(func_def_71, type, sK25: (ty * uni * uni) > uni). 15.15/2.49 tff(func_def_72, type, sK26: (ty * uni * uni) > uni). 15.15/2.49 tff(func_def_73, type, sK27: (map_int_lpmap_int_intrp * $int * $int) > $int). 15.15/2.49 tff(func_def_74, type, sK28: (map_int_lpmap_int_intrp * $int * $int) > $int). 15.15/2.49 tff(func_def_75, type, sK29: (ty * uni * uni * $int) > $int). 15.15/2.49 tff(pred_def_1, type, sort1: (ty * uni) > $o). 15.15/2.49 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 15.15/2.49 tff(pred_def_3, type, infix_eqeq: (ty * uni * uni) > $o). 15.15/2.49 tff(pred_def_4, type, subset: (ty * uni * uni) > $o). 15.15/2.49 tff(pred_def_5, type, is_empty: (ty * uni) > $o). 15.15/2.49 tff(pred_def_6, type, eq_prefix1: (ty * uni * uni * $int) > $o). 15.15/2.49 tff(pred_def_7, type, partial_solution1: ($int * map_int_int) > $o). 15.15/2.49 tff(pred_def_8, type, lt_sol1: (map_int_int * map_int_int) > $o). 15.15/2.49 tff(pred_def_9, type, sorted1: (map_int_lpmap_int_intrp * $int * $int) > $o). 15.15/2.49 tff(f32997,plain,( 15.15/2.49 $false), 15.15/2.49 inference(avatar_smt_refutation,[],[f492,f497,f502,f507,f512,f517,f522,f527,f532,f537,f542,f547,f552,f558,f573,f588,f593,f594,f604,f612,f620,f637,f649,f650,f660,f676,f678,f690,f700,f709,f720,f729,f740,f749,f755,f762,f771,f787,f819,f852,f858,f861,f864,f886,f892,f895,f898,f1015,f1023,f1106,f1164,f1218,f1227,f1230,f1252,f1261,f1264,f1348,f1398,f1434,f1495,f1504,f1514,f1556,f1594,f1615,f1677,f1681,f1722,f1731,f1737,f1850,f1872,f1873,f1885,f1889,f1894,f1898,f1972,f1981,f2020,f2037,f2038,f2101,f2157,f2198,f2207,f2213,f2224,f2244,f2331,f2336,f2339,f2342,f2352,f2358,f2379,f2385,f2405,f2410,f2413,f2416,f2519,f2524,f2538,f2569,f2574,f2704,f2725,f2889,f2893,f2994,f3417,f3423,f3426,f3429,f3435,f3441,f3450,f3572,f3574,f3587,f3673,f3679,f3687,f3692,f3695,f3730,f3731,f4103,f4107,f4285,f4286,f4288,f4294,f4305,f4306,f4454,f4455,f4457,f4485,f4517,f4518,f4612,f4633,f4634,f4635,f4636,f4637,f4638,f4639,f4640,f4853,f4855,f4859,f4863,f4871,f4905,f4910,f4984,f4989,f4994,f5001,f5002,f5009,f5010,f5161,f5166,f5246,f5247,f5248,f5249,f5269,f5278,f5280,f5281,f5313,f5315,f5317,f5319,f5321,f5323,f5324,f5427,f5474,f5488,f5492,f5509,f5510,f5511,f5512,f5520,f5558,f5589,f5633,f5638,f5669,f5722,f5863,f5923,f5930,f6271,f6273,f6279,f6388,f6438,f6449,f6450,f6451,f6456,f6457,f6458,f6975,f6984,f7003,f7011,f7018,f7025,f7066,f7078,f7085,f7089,f7110,f7116,f7121,f7126,f7135,f7148,f7150,f7153,f7156,f7178,f7183,f7184,f7189,f7256,f7261,f7266,f7271,f7276,f7282,f7288,f7296,f7299,f7304,f7313,f7317,f7321,f7325,f7329,f7336,f7340,f7344,f7349,f7354,f7358,f7365,f7371,f7380,f7385,f7389,f7393,f7402,f7403,f7404,f7409,f7414,f7418,f7422,f7426,f7430,f7434,f7438,f7442,f7447,f7452,f7468,f7488,f7493,f7498,f7503,f7508,f7525,f7531,f7534,f7537,f7553,f7674,f7681,f7784,f7912,f7916,f7950,f7962,f7966,f7970,f9572,f9586,f9589,f9590,f9595,f9598,f9636,f10268,f10791,f10832,f10893,f10953,f10989,f10992,f10995,f11031,f11112,f11115,f11118,f11324,f11325,f11331,f11391,f11392,f11398,f11435,f11472,f11645,f12038,f12088,f12259,f12314,f12331,f12340,f12360,f12479,f12481,f12482,f12613,f12614,f12692,f12985,f12987,f13038,f13140,f13142,f14262,f14311,f15629,f15635,f15641,f15647,f15653,f15667,f15671,f15682,f15688,f15697,f15700,f15706,f15712,f15718,f15721,f15741,f15786,f15788,f15814,f15819,f15821,f15823,f15839,f15849,f15859,f15864,f15869,f15874,f15878,f15897,f15902,f15904,f15906,f15927,f15934,f15935,f15954,f15956,f15961,f15970,f15975,f15981,f15982,f15983,f16009,f16038,f16043,f16045,f16047,f16057,f16062,f16067,f16090,f16095,f16097,f16099,f16108,f16113,f16138,f16143,f16145,f16147,f16158,f16163,f16168,f16173,f16303,f16315,f16328,f16381,f16425,f16475,f16738,f16740,f16744,f16747,f16748,f16750,f16825,f16847,f16849,f16852,f16855,f16933,f16939,f16945,f17040,f17046,f17052,f17095,f17105,f17110,f17231,f17236,f17245,f17254,f17270,f17275,f17280,f17285,f17322,f17327,f17332,f17337,f17354,f17359,f17364,f17369,f17417,f17422,f17427,f17428,f17450,f17455,f17460,f17465,f17470,f17476,f17536,f17541,f17546,f17675,f17681,f17684,f17687,f17693,f17699,f17705,f17734,f17740,f17743,f17746,f17766,f17769,f17884,f17902,f17908,f17911,f17914,f17947,f17953,f17956,f17959,f18003,f18021,f18071,f18093,f18098,f18307,f18312,f18320,f18687,f18768,f18770,f18772,f18774,f19251,f19252,f19406,f19425,f19433,f19439,f19445,f19451,f19456,f19463,f19468,f19481,f19486,f19491,f19496,f19514,f19520,f19523,f19526,f19529,f19547,f19551,f19581,f19620,f19629,f19632,f19635,f19643,f20030,f20038,f20044,f20050,f20056,f20079,f20085,f20088,f20091,f20094,f20112,f20118,f20121,f20124,f20142,f20343,f20351,f20357,f20363,f20369,f20389,f20392,f20395,f20398,f20401,f20419,f20425,f20428,f20431,f20449,f20615,f20624,f20627,f20630,f20641,f20647,f20673,f20682,f20685,f20688,f20697,f20702,f20712,f20717,f20722,f20745,f20755,f20760,f20765,f20774,f20779,f20846,f20880,f20909,f21291,f21460,f21465,f21467,f21469,f21482,f21487,f21492,f21497,f21548,f21553,f22460,f22482,f22488,f22491,f22494,f22518,f22519,f22520,f22521,f22531,f22536,f22541,f22759,f22760,f22768,f22777,f22783,f22791,f22797,f22803,f22809,f22832,f22838,f22841,f22844,f22848,f22852,f22856,f22862,f22868,f22874,f22877,f22880,f22883,f22889,f22895,f22898,f22901,f22919,f22931,f22936,f22965,f22968,f22972,f22973,f22974,f22975,f22980,f22985,f22990,f22995,f23000,f23005,f23010,f23015,f23018,f23021,f23024,f23025,f23028,f23029,f23034,f23037,f23179,f23180,f23188,f23197,f23203,f23211,f23217,f23223,f23229,f23249,f23252,f23255,f23258,f23262,f23266,f23270,f23276,f23282,f23288,f23291,f23294,f23297,f23303,f23309,f23312,f23315,f23333,f23345,f23350,f23466,f23470,f23471,f23727,f23731,f23735,f23739,f23743,f23747,f23751,f23886,f23892,f23901,f23923,f23931,f24046,f24087,f24090,f24098,f24105,f24114,f24123,f24128,f24129,f24147,f24153,f24158,f24161,f24184,f24190,f24195,f24201,f24238,f24243,f24251,f24258,f24259,f24264,f24265,f24558,f25068,f25232,f25237,f25239,f25241,f25429,f25775,f25779,f25783,f25787,f25791,f25795,f25889,f25893,f25902,f25918,f26010,f26024,f26037,f26042,f26043,f26048,f26055,f26063,f26067,f26089,f26094,f26101,f26104,f26229,f26299,f26304,f26329,f26373,f26383,f26392,f26401,f26406,f26415,f26486,f26491,f26498,f26502,f26507,f26547,f26548,f26575,f26580,f26652,f26661,f26667,f26673,f26682,f26691,f26697,f26703,f26709,f26715,f26721,f26726,f26727,f26728,f26735,f26736,f26737,f26738,f26795,f26800,f26805,f26810,f26811,f26812,f26814,f26820,f26826,f26832,f26838,f26852,f26982,f26984,f26989,f26992,f27065,f27111,f27113,f27115,f27120,f27123,f27265,f27267,f27269,f27273,f27275,f27276,f27278,f27280,f27282,f27284,f27329,f27339,f27346,f27347,f27642,f27647,f27652,f27657,f27662,f27667,f27683,f27695,f27702,f27710,f27718,f27719,f27766,f27767,f27768,f27769,f27770,f27771,f27864,f27869,f27874,f27879,f28038,f28040,f28042,f28044,f28046,f28048,f28050,f28109,f28111,f28113,f28115,f28116,f28118,f28120,f28121,f28130,f28131,f28132,f28133,f28134,f28135,f28202,f28203,f28204,f28304,f28309,f28315,f28321,f28327,f28332,f28338,f28344,f28531,f28545,f28850,f28854,f28858,f28862,f28866,f28870,f28874,f29590,f29596,f29634,f29639,f29644,f29722,f30061,f30066,f30151,f30157,f30380,f30662,f30668,f30728,f30734,f30758,f30759,f30760,f30932,f30937,f30942,f30947,f30952,f30957,f31075,f31080,f31081,f31086,f31146,f31151,f31155,f31156,f31158,f31486,f31487,f31496,f31686,f31691,f31700,f31839,f31844,f31849,f31876,f32014,f32061,f32062,f32071,f32370,f32452,f32453,f32462,f32545,f32716,f32721,f32726,f32864,f32865,f32874,f32980,f32983,f32986])). 15.15/2.49 tff(f32986,plain,( 15.15/2.49 spl30_468 | ~spl30_456 | spl30_19 | ~spl30_26 | ~spl30_61), 15.15/2.49 inference(avatar_split_clause,[],[f32985,f1431,f657,f590,f19578,f20110])). 15.15/2.49 tff(f20110,plain,( 15.15/2.49 spl30_468 <=> ! [X200 : $int,X199 : $int,X194 : uni] : (~$less(sK16,X199) | ~eq_prefix1(int,t2tb2(sK13),X194,X200) | ~$less(sK16,X200) | ~eq_prefix1(int,t2tb2(sK6),X194,X199))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_468])])). 15.15/2.49 tff(f19578,plain,( 15.15/2.49 spl30_456 <=> $less(sK16,sK5)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_456])])). 15.15/2.49 tff(f590,plain,( 15.15/2.49 spl30_19 <=> $less(sK16,0)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_19])])). 15.15/2.49 tff(f657,plain,( 15.15/2.49 spl30_26 <=> t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_26])])). 15.15/2.49 tff(f1431,plain,( 15.15/2.49 spl30_61 <=> mem(int,t2tb1(sK15),t2tb(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_61])])). 15.15/2.49 tff(f32985,plain,( 15.15/2.49 ( ! [X10 : uni,X11 : $int,X12 : $int] : (~$less(sK16,sK5) | ~$less(sK16,X11) | ~eq_prefix1(int,t2tb2(sK6),X10,X11) | ~$less(sK16,X12) | ~eq_prefix1(int,t2tb2(sK13),X10,X12)) ) | (spl30_19 | ~spl30_26 | ~spl30_61)), 15.15/2.49 inference(subsumption_resolution,[],[f32984,f592])). 15.15/2.49 tff(f592,plain,( 15.15/2.49 ~$less(sK16,0) | spl30_19), 15.15/2.49 inference(avatar_component_clause,[],[f590])). 15.15/2.49 tff(f32984,plain,( 15.15/2.49 ( ! [X10 : uni,X11 : $int,X12 : $int] : ($less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X11) | ~eq_prefix1(int,t2tb2(sK6),X10,X11) | ~$less(sK16,X12) | ~eq_prefix1(int,t2tb2(sK13),X10,X12)) ) | (spl30_19 | ~spl30_26 | ~spl30_61)), 15.15/2.49 inference(subsumption_resolution,[],[f32943,f1433])). 15.15/2.49 tff(f1433,plain,( 15.15/2.49 mem(int,t2tb1(sK15),t2tb(sK0)) | ~spl30_61), 15.15/2.49 inference(avatar_component_clause,[],[f1431])). 15.15/2.49 tff(f32943,plain,( 15.15/2.49 ( ! [X10 : uni,X11 : $int,X12 : $int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X11) | ~eq_prefix1(int,t2tb2(sK6),X10,X11) | ~$less(sK16,X12) | ~eq_prefix1(int,t2tb2(sK13),X10,X12)) ) | (spl30_19 | ~spl30_26)), 15.15/2.49 inference(superposition,[],[f2551,f1796])). 15.15/2.49 tff(f1796,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : $int] : (t2tb1(sK15) = get(int,int,X0,t2tb1(sK16)) | ~$less(sK16,X1) | ~eq_prefix1(int,t2tb2(sK13),X0,X1)) ) | (spl30_19 | ~spl30_26)), 15.15/2.49 inference(subsumption_resolution,[],[f1765,f592])). 15.15/2.49 tff(f1765,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : $int] : (t2tb1(sK15) = get(int,int,X0,t2tb1(sK16)) | ~$less(sK16,X1) | $less(sK16,0) | ~eq_prefix1(int,t2tb2(sK13),X0,X1)) ) | ~spl30_26), 15.15/2.49 inference(superposition,[],[f409,f659])). 15.15/2.49 tff(f659,plain,( 15.15/2.49 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16)) | ~spl30_26), 15.15/2.49 inference(avatar_component_clause,[],[f657])). 15.15/2.49 tff(f409,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X5 : $int] : (get(X0,int,X1,t2tb1(X5)) = get(X0,int,X2,t2tb1(X5)) | ~$less(X5,X3) | $less(X5,0) | ~eq_prefix1(X0,X1,X2,X3)) )), 15.15/2.49 inference(cnf_transformation,[],[f255])). 15.15/2.49 tff(f255,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((eq_prefix1(X0,X1,X2,X3) | (get(X0,int,X1,t2tb1(sK29(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK29(X0,X1,X2,X3))) & $less(sK29(X0,X1,X2,X3),X3) & ~$less(sK29(X0,X1,X2,X3),0))) & (! [X5 : $int] : (get(X0,int,X1,t2tb1(X5)) = get(X0,int,X2,t2tb1(X5)) | ~$less(X5,X3) | $less(X5,0)) | ~eq_prefix1(X0,X1,X2,X3)))), 15.15/2.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f253,f254])). 15.15/2.49 tff(f254,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (? [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) != get(X0,int,X2,t2tb1(X4)) & $less(X4,X3) & ~$less(X4,0)) => (get(X0,int,X1,t2tb1(sK29(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK29(X0,X1,X2,X3))) & $less(sK29(X0,X1,X2,X3),X3) & ~$less(sK29(X0,X1,X2,X3),0)))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f253,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((eq_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) != get(X0,int,X2,t2tb1(X4)) & $less(X4,X3) & ~$less(X4,0))) & (! [X5 : $int] : (get(X0,int,X1,t2tb1(X5)) = get(X0,int,X2,t2tb1(X5)) | ~$less(X5,X3) | $less(X5,0)) | ~eq_prefix1(X0,X1,X2,X3)))), 15.15/2.49 inference(rectify,[],[f252])). 15.15/2.49 tff(f252,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((eq_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) != get(X0,int,X2,t2tb1(X4)) & $less(X4,X3) & ~$less(X4,0))) & (! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) | ~eq_prefix1(X0,X1,X2,X3)))), 15.15/2.49 inference(nnf_transformation,[],[f201])). 15.15/2.49 tff(f201,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (eq_prefix1(X0,X1,X2,X3) <=> ! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)))), 15.15/2.49 inference(flattening,[],[f200])). 15.15/2.49 tff(f200,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (eq_prefix1(X0,X1,X2,X3) <=> ! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | (~$less(X4,X3) | $less(X4,0))))), 15.15/2.49 inference(ennf_transformation,[],[f151])). 15.15/2.49 tff(f151,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (eq_prefix1(X0,X1,X2,X3) <=> ! [X4 : $int] : (($less(X4,X3) & ~$less(X4,0)) => get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4))))), 15.15/2.49 inference(rectify,[],[f92])). 15.15/2.49 tff(f92,plain,( 15.15/2.49 ! [X0 : ty,X17 : uni,X7 : uni,X5 : $int] : (eq_prefix1(X0,X17,X7,X5) <=> ! [X18 : $int] : (($less(X18,X5) & ~$less(X18,0)) => get(X0,int,X17,t2tb1(X18)) = get(X0,int,X7,t2tb1(X18))))), 15.15/2.49 inference(theory_normalization,[],[f27])). 15.15/2.49 tff(f27,axiom,( 15.15/2.49 ! [X0 : ty,X17 : uni,X7 : uni,X5 : $int] : (eq_prefix1(X0,X17,X7,X5) <=> ! [X18 : $int] : (($less(X18,X5) & $lesseq(0,X18)) => get(X0,int,X17,t2tb1(X18)) = get(X0,int,X7,t2tb1(X18))))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq_prefix_def)). 15.15/2.49 tff(f2551,plain,( 15.15/2.49 ( ! [X3 : $int,X4 : uni,X5 : $int] : (~mem(int,get(int,int,X4,t2tb1(X3)),t2tb(sK0)) | $less(X3,0) | ~$less(X3,sK5) | ~$less(X3,X5) | ~eq_prefix1(int,t2tb2(sK6),X4,X5)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f2549])). 15.15/2.49 tff(f2549,plain,( 15.15/2.49 ( ! [X3 : $int,X4 : uni,X5 : $int] : (~mem(int,get(int,int,X4,t2tb1(X3)),t2tb(sK0)) | $less(X3,0) | ~$less(X3,sK5) | ~$less(X3,X5) | $less(X3,0) | ~eq_prefix1(int,t2tb2(sK6),X4,X5)) )), 15.15/2.49 inference(superposition,[],[f1364,f409])). 15.15/2.49 tff(f1364,plain,( 15.15/2.49 ( ! [X0 : $int] : (~mem(int,get(int,int,t2tb2(sK6),t2tb1(X0)),t2tb(sK0)) | $less(X0,0) | ~$less(X0,sK5)) )), 15.15/2.49 inference(equality_resolution,[],[f1361])). 15.15/2.49 tff(f1361,plain,( 15.15/2.49 ( ! [X24 : $int,X23 : $int] : (sK5 != X24 | $less(X23,0) | ~mem(int,get(int,int,t2tb2(sK6),t2tb1(X23)),t2tb(sK0)) | ~$less(X23,X24)) )), 15.15/2.49 inference(forward_demodulation,[],[f441,f315])). 15.15/2.49 tff(f315,plain,( 15.15/2.49 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 15.15/2.49 inference(cnf_transformation,[],[f103])). 15.15/2.49 tff(f103,plain,( 15.15/2.49 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 15.15/2.49 inference(rectify,[],[f12])). 15.15/2.49 tff(f12,axiom,( 15.15/2.49 ! [X13 : uni] : t2tb1(tb2t1(X13)) = X13), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1)). 15.15/2.49 tff(f441,plain,( 15.15/2.49 ( ! [X24 : $int,X23 : $int] : ($less(X23,0) | sK5 != X24 | ~$less(X23,X24) | ~mem(int,t2tb1(tb2t1(get(int,int,t2tb2(sK6),t2tb1(X23)))),t2tb(sK0))) )), 15.15/2.49 inference(theory_flattening,[],[f425])). 15.15/2.49 tff(f425,plain,( 15.15/2.49 ( ! [X23 : $int] : ($less(X23,0) | ~$less(X23,sK5) | ~mem(int,t2tb1(tb2t1(get(int,int,t2tb2(sK6),t2tb1(X23)))),t2tb(sK0))) )), 15.15/2.49 inference(equality_resolution,[],[f277])). 15.15/2.49 tff(f277,plain,( 15.15/2.49 ( ! [X22 : $int,X23 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X23))) != X22 | $less(X23,0) | ~$less(X23,sK5) | ~mem(int,t2tb1(X22),t2tb(sK0))) )), 15.15/2.49 inference(cnf_transformation,[],[f219])). 15.15/2.49 tff(f219,plain,( 15.15/2.49 (((((sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) & $less(sK16,sK14) & ~$less(sK16,0)) & mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = sK14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13) & ~is_empty(int,t2tb(sK8)) & sK7 = $sum(sK9,$uminus(sK3)) & ~$less($sum(sK9,$uminus(sK3)),0) & sK5 = sK11 & subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & partial_solution1(sK11,sK12) & sorted1(sK10,sK3,sK9) & ! [X17 : $int,X18 : $int] : ($less(X17,X18) | ~mem(int,t2tb1(X18),t2tb(sK8)) | ~mem(int,t2tb1(X17),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) & ! [X19 : map_int_int] : (((partial_solution1(n1,X19) & eq_prefix1(int,t2tb2(sK12),t2tb2(X19),sK11) & mem(int,get(int,int,t2tb2(X19),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) | ! [X20 : $int] : ($less(X20,sK3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(X20)),n1) | ~$less(X20,sK9))) & ((~$less(sK17(X19),sK3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X19))),n1) & $less(sK17(X19),sK9)) | ~partial_solution1(n1,X19) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X19),sK11) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))))) & eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3)) & ~is_empty(int,t2tb(sK0)) & ~$less(sK5,0) & n1 = $sum(sK5,cardinal1(int,t2tb(sK0))) & ! [X22 : $int] : (((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X23))) != X22 | $less(X23,0) | ~$less(X23,sK5)) & $less(X22,n1) & ~$less(X22,0)) | ~mem(int,t2tb1(X22),t2tb(sK0))) & (mem(int,t2tb1(X22),t2tb(sK0)) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK18(X22)))) = X22 & ~$less(sK18(X22),0) & $less(sK18(X22),sK5)) | ~$less(X22,n1) | $less(X22,0))) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(sK5)) | $less(X26,0) | ~$less(X26,sK5)) | mem(int,t2tb1(X25),t2tb(sK1))) & (~mem(int,t2tb1(X25),t2tb(sK1)) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK19(X25)))) = $sum($sum(X25,sK19(X25)),$uminus(sK5)) & ~$less(sK19(X25),0) & $less(sK19(X25),sK5)))) | $less(X25,0)) & partial_solution1(sK5,sK6) & ! [X28 : $int] : (((! [X29 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X29))) != $sum($sum(X28,sK5),$uminus(X29)) | ~$less(X29,sK5) | $less(X29,0)) | mem(int,t2tb1(X28),t2tb(sK2))) & (~mem(int,t2tb1(X28),t2tb(sK2)) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK20(X28)))) = $sum($sum(X28,sK5),$uminus(sK20(X28))) & $less(sK20(X28),sK5) & ~$less(sK20(X28),0)))) | $less(X28,0)) & ~$less(sK3,0)), 15.15/2.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f208,f218,f217,f216,f215,f214,f213,f212,f211,f210,f209])). 15.15/2.49 tff(f209,plain,( 15.15/2.49 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X7 : $int,X8 : set_int,X9 : $int,X10 : map_int_lpmap_int_intrp,X11 : $int,X12 : map_int_int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & $less(X16,X14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & $sum(X9,$uminus(X3)) = X7 & ~$less($sum(X9,$uminus(X3)),0) & X5 = X11 & subset(int,t2tb(X8),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & partial_solution1(X11,X12) & sorted1(X10,X3,X9) & ! [X17 : $int,X18 : $int] : ($less(X17,X18) | ~mem(int,t2tb1(X18),t2tb(X8)) | ~mem(int,t2tb1(X17),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) & ! [X19 : map_int_int] : (((partial_solution1(n1,X19) & eq_prefix1(int,t2tb2(X12),t2tb2(X19),X11) & mem(int,get(int,int,t2tb2(X19),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) | ! [X20 : $int] : ($less(X20,X3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X10),t2tb1(X20)),n1) | ~$less(X20,X9))) & (? [X21 : $int] : (~$less(X21,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X10),t2tb1(X21)),n1) & $less(X21,X9)) | ~partial_solution1(n1,X19) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X19),X11) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))))) & eq_prefix1(int,t2tb2(X6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X10),X3)) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))) & ! [X22 : $int] : (((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X23))) != X22 | $less(X23,0) | ~$less(X23,X5)) & $less(X22,n1) & ~$less(X22,0)) | ~mem(int,t2tb1(X22),t2tb(X0))) & (mem(int,t2tb1(X22),t2tb(X0)) | ? [X24 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X24))) = X22 & ~$less(X24,0) & $less(X24,X5)) | ~$less(X22,n1) | $less(X22,0))) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(X5)) | $less(X26,0) | ~$less(X26,X5)) | mem(int,t2tb1(X25),t2tb(X1))) & (~mem(int,t2tb1(X25),t2tb(X1)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X27))) = $sum($sum(X25,X27),$uminus(X5)) & ~$less(X27,0) & $less(X27,X5)))) | $less(X25,0)) & partial_solution1(X5,X6) & ! [X28 : $int] : (((! [X29 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X29))) != $sum($sum(X28,X5),$uminus(X29)) | ~$less(X29,X5) | $less(X29,0)) | mem(int,t2tb1(X28),t2tb(X2))) & (~mem(int,t2tb1(X28),t2tb(X2)) | ? [X30 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X30))) = $sum($sum(X28,X5),$uminus(X30)) & $less(X30,X5) & ~$less(X30,0)))) | $less(X28,0)) & ~$less(X3,0)) => (? [X12 : map_int_int,X11 : $int,X10 : map_int_lpmap_int_intrp,X9 : $int,X8 : set_int,X7 : $int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & $less(X16,X14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(sK0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & $sum(X9,$uminus(sK3)) = X7 & ~$less($sum(X9,$uminus(sK3)),0) & sK5 = X11 & subset(int,t2tb(X8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & partial_solution1(X11,X12) & sorted1(X10,sK3,X9) & ! [X18 : $int,X17 : $int] : ($less(X17,X18) | ~mem(int,t2tb1(X18),t2tb(X8)) | ~mem(int,t2tb1(X17),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8)))) & ! [X19 : map_int_int] : (((partial_solution1(n1,X19) & eq_prefix1(int,t2tb2(X12),t2tb2(X19),X11) & mem(int,get(int,int,t2tb2(X19),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8)))) | ! [X20 : $int] : ($less(X20,sK3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X10),t2tb1(X20)),n1) | ~$less(X20,X9))) & (? [X21 : $int] : (~$less(X21,sK3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X10),t2tb1(X21)),n1) & $less(X21,X9)) | ~partial_solution1(n1,X19) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X19),X11) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8))))) & eq_prefix1(int,t2tb2(sK6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(X10),sK3)) & ~is_empty(int,t2tb(sK0)) & ~$less(sK5,0) & n1 = $sum(sK5,cardinal1(int,t2tb(sK0))) & ! [X22 : $int] : (((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X23))) != X22 | $less(X23,0) | ~$less(X23,sK5)) & $less(X22,n1) & ~$less(X22,0)) | ~mem(int,t2tb1(X22),t2tb(sK0))) & (mem(int,t2tb1(X22),t2tb(sK0)) | ? [X24 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X24))) = X22 & ~$less(X24,0) & $less(X24,sK5)) | ~$less(X22,n1) | $less(X22,0))) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(sK5)) | $less(X26,0) | ~$less(X26,sK5)) | mem(int,t2tb1(X25),t2tb(sK1))) & (~mem(int,t2tb1(X25),t2tb(sK1)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X27))) = $sum($sum(X25,X27),$uminus(sK5)) & ~$less(X27,0) & $less(X27,sK5)))) | $less(X25,0)) & partial_solution1(sK5,sK6) & ! [X28 : $int] : (((! [X29 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X29))) != $sum($sum(X28,sK5),$uminus(X29)) | ~$less(X29,sK5) | $less(X29,0)) | mem(int,t2tb1(X28),t2tb(sK2))) & (~mem(int,t2tb1(X28),t2tb(sK2)) | ? [X30 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30))) = $sum($sum(X28,sK5),$uminus(X30)) & $less(X30,sK5) & ~$less(X30,0)))) | $less(X28,0)) & ~$less(sK3,0))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f210,plain,( 15.15/2.49 ? [X12 : map_int_int,X11 : $int,X10 : map_int_lpmap_int_intrp,X9 : $int,X8 : set_int,X7 : $int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & $less(X16,X14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(sK0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & $sum(X9,$uminus(sK3)) = X7 & ~$less($sum(X9,$uminus(sK3)),0) & sK5 = X11 & subset(int,t2tb(X8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & partial_solution1(X11,X12) & sorted1(X10,sK3,X9) & ! [X18 : $int,X17 : $int] : ($less(X17,X18) | ~mem(int,t2tb1(X18),t2tb(X8)) | ~mem(int,t2tb1(X17),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8)))) & ! [X19 : map_int_int] : (((partial_solution1(n1,X19) & eq_prefix1(int,t2tb2(X12),t2tb2(X19),X11) & mem(int,get(int,int,t2tb2(X19),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8)))) | ! [X20 : $int] : ($less(X20,sK3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X10),t2tb1(X20)),n1) | ~$less(X20,X9))) & (? [X21 : $int] : (~$less(X21,sK3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X10),t2tb1(X21)),n1) & $less(X21,X9)) | ~partial_solution1(n1,X19) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X19),X11) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8))))) & eq_prefix1(int,t2tb2(sK6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(X10),sK3)) => (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & $less(X16,X14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = X14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = X13) & ~is_empty(int,t2tb(sK8)) & sK7 = $sum(sK9,$uminus(sK3)) & ~$less($sum(sK9,$uminus(sK3)),0) & sK5 = sK11 & subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & partial_solution1(sK11,sK12) & sorted1(sK10,sK3,sK9) & ! [X18 : $int,X17 : $int] : ($less(X17,X18) | ~mem(int,t2tb1(X18),t2tb(sK8)) | ~mem(int,t2tb1(X17),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) & ! [X19 : map_int_int] : (((partial_solution1(n1,X19) & eq_prefix1(int,t2tb2(sK12),t2tb2(X19),sK11) & mem(int,get(int,int,t2tb2(X19),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) | ! [X20 : $int] : ($less(X20,sK3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(X20)),n1) | ~$less(X20,sK9))) & (? [X21 : $int] : (~$less(X21,sK3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(X21)),n1) & $less(X21,sK9)) | ~partial_solution1(n1,X19) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X19),sK11) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))))) & eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f211,plain,( 15.15/2.49 ? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & $less(X16,X14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = X14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = X13) => (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & $less(X16,X14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = X14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13)), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f212,plain,( 15.15/2.49 ? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & $less(X16,X14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = X14) => (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & $less(X16,sK14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = sK14)), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f213,plain,( 15.15/2.49 ? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & $less(X16,sK14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) => (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = sK15 & $less(X16,sK14) & ~$less(X16,0)) & mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f214,plain,( 15.15/2.49 ? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = sK15 & $less(X16,sK14) & ~$less(X16,0)) => (sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) & $less(sK16,sK14) & ~$less(sK16,0))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f215,plain,( 15.15/2.49 ! [X19 : map_int_int] : (? [X21 : $int] : (~$less(X21,sK3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(X21)),n1) & $less(X21,sK9)) => (~$less(sK17(X19),sK3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X19))),n1) & $less(sK17(X19),sK9)))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f216,plain,( 15.15/2.49 ! [X22 : $int] : (? [X24 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X24))) = X22 & ~$less(X24,0) & $less(X24,sK5)) => (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK18(X22)))) = X22 & ~$less(sK18(X22),0) & $less(sK18(X22),sK5)))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f217,plain,( 15.15/2.49 ! [X25 : $int] : (? [X27 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X27))) = $sum($sum(X25,X27),$uminus(sK5)) & ~$less(X27,0) & $less(X27,sK5)) => (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK19(X25)))) = $sum($sum(X25,sK19(X25)),$uminus(sK5)) & ~$less(sK19(X25),0) & $less(sK19(X25),sK5)))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f218,plain,( 15.15/2.49 ! [X28 : $int] : (? [X30 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30))) = $sum($sum(X28,sK5),$uminus(X30)) & $less(X30,sK5) & ~$less(X30,0)) => (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK20(X28)))) = $sum($sum(X28,sK5),$uminus(sK20(X28))) & $less(sK20(X28),sK5) & ~$less(sK20(X28),0)))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f208,plain,( 15.15/2.49 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X7 : $int,X8 : set_int,X9 : $int,X10 : map_int_lpmap_int_intrp,X11 : $int,X12 : map_int_int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & $less(X16,X14) & ~$less(X16,0)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & $sum(X9,$uminus(X3)) = X7 & ~$less($sum(X9,$uminus(X3)),0) & X5 = X11 & subset(int,t2tb(X8),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & partial_solution1(X11,X12) & sorted1(X10,X3,X9) & ! [X17 : $int,X18 : $int] : ($less(X17,X18) | ~mem(int,t2tb1(X18),t2tb(X8)) | ~mem(int,t2tb1(X17),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) & ! [X19 : map_int_int] : (((partial_solution1(n1,X19) & eq_prefix1(int,t2tb2(X12),t2tb2(X19),X11) & mem(int,get(int,int,t2tb2(X19),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) | ! [X20 : $int] : ($less(X20,X3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X10),t2tb1(X20)),n1) | ~$less(X20,X9))) & (? [X21 : $int] : (~$less(X21,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X10),t2tb1(X21)),n1) & $less(X21,X9)) | ~partial_solution1(n1,X19) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X19),X11) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))))) & eq_prefix1(int,t2tb2(X6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X10),X3)) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))) & ! [X22 : $int] : (((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X23))) != X22 | $less(X23,0) | ~$less(X23,X5)) & $less(X22,n1) & ~$less(X22,0)) | ~mem(int,t2tb1(X22),t2tb(X0))) & (mem(int,t2tb1(X22),t2tb(X0)) | ? [X24 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X24))) = X22 & ~$less(X24,0) & $less(X24,X5)) | ~$less(X22,n1) | $less(X22,0))) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(X5)) | $less(X26,0) | ~$less(X26,X5)) | mem(int,t2tb1(X25),t2tb(X1))) & (~mem(int,t2tb1(X25),t2tb(X1)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X27))) = $sum($sum(X25,X27),$uminus(X5)) & ~$less(X27,0) & $less(X27,X5)))) | $less(X25,0)) & partial_solution1(X5,X6) & ! [X28 : $int] : (((! [X29 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X29))) != $sum($sum(X28,X5),$uminus(X29)) | ~$less(X29,X5) | $less(X29,0)) | mem(int,t2tb1(X28),t2tb(X2))) & (~mem(int,t2tb1(X28),t2tb(X2)) | ? [X30 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X30))) = $sum($sum(X28,X5),$uminus(X30)) & $less(X30,X5) & ~$less(X30,0)))) | $less(X28,0)) & ~$less(X3,0))), 15.15/2.49 inference(rectify,[],[f207])). 15.15/2.49 tff(f207,plain,( 15.15/2.49 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & $less(X26,X24) & ~$less(X26,0)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & $sum(X15,$uminus(X3)) = X13 & ~$less($sum(X15,$uminus(X3)),0) & X5 = X17 & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & partial_solution1(X17,X18) & sorted1(X16,X3,X15) & ! [X19 : $int,X20 : $int] : ($less(X19,X20) | ~mem(int,t2tb1(X20),t2tb(X14)) | ~mem(int,t2tb1(X19),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & ! [X21 : map_int_int] : (((partial_solution1(n1,X21) & eq_prefix1(int,t2tb2(X18),t2tb2(X21),X17) & mem(int,get(int,int,t2tb2(X21),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) | ! [X22 : $int] : ($less(X22,X3) | ~eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X16),t2tb1(X22)),n1) | ~$less(X22,X15))) & (? [X22 : $int] : (~$less(X22,X3) & eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X16),t2tb1(X22)),n1) & $less(X22,X15)) | ~partial_solution1(n1,X21) | ~eq_prefix1(int,t2tb2(X18),t2tb2(X21),X17) | ~mem(int,get(int,int,t2tb2(X21),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3)) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))) & ! [X7 : $int] : (((! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != X7 | $less(X8,0) | ~$less(X8,X5)) & $less(X7,n1) & ~$less(X7,0)) | ~mem(int,t2tb1(X7),t2tb(X0))) & (mem(int,t2tb1(X7),t2tb(X0)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) = X7 & ~$less(X8,0) & $less(X8,X5)) | ~$less(X7,n1) | $less(X7,0))) & ! [X9 : $int] : (((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X5)) | $less(X10,0) | ~$less(X10,X5)) | mem(int,t2tb1(X9),t2tb(X1))) & (~mem(int,t2tb1(X9),t2tb(X1)) | ? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) = $sum($sum(X9,X10),$uminus(X5)) & ~$less(X10,0) & $less(X10,X5)))) | $less(X9,0)) & partial_solution1(X5,X6) & ! [X11 : $int] : (((! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != $sum($sum(X11,X5),$uminus(X12)) | ~$less(X12,X5) | $less(X12,0)) | mem(int,t2tb1(X11),t2tb(X2))) & (~mem(int,t2tb1(X11),t2tb(X2)) | ? [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) = $sum($sum(X11,X5),$uminus(X12)) & $less(X12,X5) & ~$less(X12,0)))) | $less(X11,0)) & ~$less(X3,0))), 15.15/2.49 inference(flattening,[],[f206])). 15.15/2.49 tff(f206,plain,( 15.15/2.49 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & $less(X26,X24) & ~$less(X26,0)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & $sum(X15,$uminus(X3)) = X13 & ~$less($sum(X15,$uminus(X3)),0) & X5 = X17 & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & partial_solution1(X17,X18) & sorted1(X16,X3,X15) & ! [X19 : $int,X20 : $int] : ($less(X19,X20) | ~mem(int,t2tb1(X20),t2tb(X14)) | ~mem(int,t2tb1(X19),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & ! [X21 : map_int_int] : (((partial_solution1(n1,X21) & eq_prefix1(int,t2tb2(X18),t2tb2(X21),X17) & mem(int,get(int,int,t2tb2(X21),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) | ! [X22 : $int] : ($less(X22,X3) | ~eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X16),t2tb1(X22)),n1) | ~$less(X22,X15))) & (? [X22 : $int] : (~$less(X22,X3) & eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X16),t2tb1(X22)),n1) & $less(X22,X15)) | (~partial_solution1(n1,X21) | ~eq_prefix1(int,t2tb2(X18),t2tb2(X21),X17) | ~mem(int,get(int,int,t2tb2(X21),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3)) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))) & ! [X7 : $int] : (((! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != X7 | $less(X8,0) | ~$less(X8,X5)) & $less(X7,n1) & ~$less(X7,0)) | ~mem(int,t2tb1(X7),t2tb(X0))) & (mem(int,t2tb1(X7),t2tb(X0)) | (? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) = X7 & ~$less(X8,0) & $less(X8,X5)) | ~$less(X7,n1) | $less(X7,0)))) & ! [X9 : $int] : (((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X5)) | $less(X10,0) | ~$less(X10,X5)) | mem(int,t2tb1(X9),t2tb(X1))) & (~mem(int,t2tb1(X9),t2tb(X1)) | ? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) = $sum($sum(X9,X10),$uminus(X5)) & ~$less(X10,0) & $less(X10,X5)))) | $less(X9,0)) & partial_solution1(X5,X6) & ! [X11 : $int] : (((! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != $sum($sum(X11,X5),$uminus(X12)) | ~$less(X12,X5) | $less(X12,0)) | mem(int,t2tb1(X11),t2tb(X2))) & (~mem(int,t2tb1(X11),t2tb(X2)) | ? [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) = $sum($sum(X11,X5),$uminus(X12)) & $less(X12,X5) & ~$less(X12,0)))) | $less(X11,0)) & ~$less(X3,0))), 15.15/2.49 inference(nnf_transformation,[],[f159])). 15.15/2.49 tff(f159,plain,( 15.15/2.49 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & $less(X26,X24) & ~$less(X26,0)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & $sum(X15,$uminus(X3)) = X13 & ~$less($sum(X15,$uminus(X3)),0) & X5 = X17 & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & partial_solution1(X17,X18) & sorted1(X16,X3,X15) & ! [X19 : $int,X20 : $int] : ($less(X19,X20) | ~mem(int,t2tb1(X20),t2tb(X14)) | ~mem(int,t2tb1(X19),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & ! [X21 : map_int_int] : ((partial_solution1(n1,X21) & eq_prefix1(int,t2tb2(X18),t2tb2(X21),X17) & mem(int,get(int,int,t2tb2(X21),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) <=> ? [X22 : $int] : (~$less(X22,X3) & eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X16),t2tb1(X22)),n1) & $less(X22,X15))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3)) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))) & ! [X7 : $int] : ((! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != X7 | $less(X8,0) | ~$less(X8,X5)) & $less(X7,n1) & ~$less(X7,0)) <=> mem(int,t2tb1(X7),t2tb(X0))) & ! [X9 : $int] : ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X5)) | $less(X10,0) | ~$less(X10,X5)) <=> ~mem(int,t2tb1(X9),t2tb(X1))) | $less(X9,0)) & partial_solution1(X5,X6) & ! [X11 : $int] : ((! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != $sum($sum(X11,X5),$uminus(X12)) | ~$less(X12,X5) | $less(X12,0)) <=> ~mem(int,t2tb1(X11),t2tb(X2))) | $less(X11,0)) & ~$less(X3,0))), 15.15/2.49 inference(flattening,[],[f158])). 15.15/2.49 tff(f158,plain,( 15.15/2.49 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : ((? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : ((? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & ($less(X26,X24) & ~$less(X26,0))) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14))) & ($sum(X15,$uminus(X3)) = X13 & ~$less($sum(X15,$uminus(X3)),0) & X5 = X17 & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & partial_solution1(X17,X18) & sorted1(X16,X3,X15) & ! [X19 : $int,X20 : $int] : (($less(X19,X20) | ~mem(int,t2tb1(X20),t2tb(X14))) | ~mem(int,t2tb1(X19),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & ! [X21 : map_int_int] : ((partial_solution1(n1,X21) & eq_prefix1(int,t2tb2(X18),t2tb2(X21),X17) & mem(int,get(int,int,t2tb2(X21),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) <=> ? [X22 : $int] : (~$less(X22,X3) & eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X16),t2tb1(X22)),n1) & $less(X22,X15))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3))) & ~is_empty(int,t2tb(X0))) & (~$less(X5,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))) & ! [X7 : $int] : ((! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != X7 | ($less(X8,0) | ~$less(X8,X5))) & $less(X7,n1) & ~$less(X7,0)) <=> mem(int,t2tb1(X7),t2tb(X0))) & ! [X9 : $int] : ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X5)) | ($less(X10,0) | ~$less(X10,X5))) <=> ~mem(int,t2tb1(X9),t2tb(X1))) | $less(X9,0)) & partial_solution1(X5,X6) & ! [X11 : $int] : ((! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != $sum($sum(X11,X5),$uminus(X12)) | (~$less(X12,X5) | $less(X12,0))) <=> ~mem(int,t2tb1(X11),t2tb(X2))) | $less(X11,0)) & ~$less(X3,0)))), 15.15/2.49 inference(ennf_transformation,[],[f93])). 15.15/2.49 tff(f93,plain,( 15.15/2.49 ~! [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : ((~$less(X5,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))) & ! [X7 : $int] : ((! [X8 : $int] : ((~$less(X8,0) & $less(X8,X5)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != X7) & $less(X7,n1) & ~$less(X7,0)) <=> mem(int,t2tb1(X7),t2tb(X0))) & ! [X9 : $int] : (~$less(X9,0) => (! [X10 : $int] : ((~$less(X10,0) & $less(X10,X5)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X10),$uminus(X5))) <=> ~mem(int,t2tb1(X9),t2tb(X1)))) & partial_solution1(X5,X6) & ! [X11 : $int] : (~$less(X11,0) => (! [X12 : $int] : (($less(X12,X5) & ~$less(X12,0)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != $sum($sum(X11,X5),$uminus(X12))) <=> ~mem(int,t2tb1(X11),t2tb(X2)))) & ~$less(X3,0)) => (~is_empty(int,t2tb(X0)) => ! [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (($sum(X15,$uminus(X3)) = X13 & ~$less($sum(X15,$uminus(X3)),0) & X5 = X17 & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & partial_solution1(X17,X18) & sorted1(X16,X3,X15) & ! [X19 : $int,X20 : $int] : (mem(int,t2tb1(X19),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) => (mem(int,t2tb1(X20),t2tb(X14)) => $less(X19,X20))) & ! [X21 : map_int_int] : ((partial_solution1(n1,X21) & eq_prefix1(int,t2tb2(X18),t2tb2(X21),X17) & mem(int,get(int,int,t2tb2(X21),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) <=> ? [X22 : $int] : (~$less(X22,X3) & eq_prefix1(int,t2tb2(X21),get(map(int,int),int,t2tb3(X16),t2tb1(X22)),n1) & $less(X22,X15))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3)) => (~is_empty(int,t2tb(X14)) => ! [X23 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23 => ! [X24 : $int] : ($sum(X17,1) = X24 => ! [X25 : $int] : (mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0))) => ! [X26 : $int] : (($less(X26,X24) & ~$less(X26,0)) => tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) != X25))))))))), 15.15/2.49 inference(rectify,[],[f78])). 15.15/2.49 tff(f78,plain,( 15.15/2.49 ~! [X0 : set_int,X8 : set_int,X19 : set_int,X2 : $int,X20 : map_int_lpmap_int_intrp,X18 : $int,X21 : map_int_int] : ((~$less(X18,0) & n1 = $sum(X18,cardinal1(int,t2tb(X0))) & ! [X5 : $int] : ((! [X13 : $int] : ((~$less(X13,0) & $less(X13,X18)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != X5) & $less(X5,n1) & ~$less(X5,0)) <=> mem(int,t2tb1(X5),t2tb(X0))) & ! [X5 : $int] : (~$less(X5,0) => (! [X13 : $int] : ((~$less(X13,0) & $less(X13,X18)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != $sum($sum(X5,X13),$uminus(X18))) <=> ~mem(int,t2tb1(X5),t2tb(X8)))) & partial_solution1(X18,X21) & ! [X5 : $int] : (~$less(X5,0) => (! [X13 : $int] : (($less(X13,X18) & ~$less(X13,0)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != $sum($sum(X5,X18),$uminus(X13))) <=> ~mem(int,t2tb1(X5),t2tb(X19)))) & ~$less(X2,0)) => (~is_empty(int,t2tb(X0)) => ! [X22 : $int,X23 : set_int,X3 : $int,X24 : map_int_lpmap_int_intrp,X25 : $int,X26 : map_int_int] : (($sum(X3,$uminus(X2)) = X22 & ~$less($sum(X3,$uminus(X2)),0) & X18 = X25 & subset(int,t2tb(X23),diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19))) & partial_solution1(X25,X26) & sorted1(X24,X2,X3) & ! [X5 : $int,X13 : $int] : (mem(int,t2tb1(X5),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19)),t2tb(X23))) => (mem(int,t2tb1(X13),t2tb(X23)) => $less(X5,X13))) & ! [X17 : map_int_int] : ((partial_solution1(n1,X17) & eq_prefix1(int,t2tb2(X26),t2tb2(X17),X25) & mem(int,get(int,int,t2tb2(X17),t2tb1(X25)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19)),t2tb(X23)))) <=> ? [X5 : $int] : (~$less(X5,X2) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X24),t2tb1(X5)),n1) & $less(X5,X3))) & eq_prefix1(int,t2tb2(X21),t2tb2(X26),X25) & eq_prefix1(map(int,int),t2tb3(X20),t2tb3(X24),X2)) => (~is_empty(int,t2tb(X23)) => ! [X27 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X26),t2tb1(X25),t2tb1(min_elt1(X23)))) = X27 => ! [X28 : $int] : ($sum(X25,1) = X28 => ! [X5 : $int] : (mem(int,t2tb1(X5),remove(int,t2tb1(min_elt1(X23)),t2tb(X0))) => ! [X13 : $int] : (($less(X13,X28) & ~$less(X13,0)) => tb2t1(get(int,int,t2tb2(X27),t2tb1(X13))) != X5))))))))), 15.15/2.49 inference(theory_normalization,[],[f55])). 15.15/2.49 tff(f55,negated_conjecture,( 15.15/2.49 ~! [X0 : set_int,X8 : set_int,X19 : set_int,X2 : $int,X20 : map_int_lpmap_int_intrp,X18 : $int,X21 : map_int_int] : (($lesseq(0,X18) & n1 = $sum(X18,cardinal1(int,t2tb(X0))) & ! [X5 : $int] : ((! [X13 : $int] : (($lesseq(0,X13) & $less(X13,X18)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != X5) & $less(X5,n1) & $lesseq(0,X5)) <=> mem(int,t2tb1(X5),t2tb(X0))) & ! [X5 : $int] : ($lesseq(0,X5) => (! [X13 : $int] : (($lesseq(0,X13) & $less(X13,X18)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != $difference($sum(X5,X13),X18)) <=> ~mem(int,t2tb1(X5),t2tb(X8)))) & partial_solution1(X18,X21) & ! [X5 : $int] : ($lesseq(0,X5) => (! [X13 : $int] : (($less(X13,X18) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != $difference($sum(X5,X18),X13)) <=> ~mem(int,t2tb1(X5),t2tb(X19)))) & $lesseq(0,X2)) => (~is_empty(int,t2tb(X0)) => ! [X22 : $int,X23 : set_int,X3 : $int,X24 : map_int_lpmap_int_intrp,X25 : $int,X26 : map_int_int] : (($difference(X3,X2) = X22 & $lesseq(0,$difference(X3,X2)) & X18 = X25 & subset(int,t2tb(X23),diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19))) & partial_solution1(X25,X26) & sorted1(X24,X2,X3) & ! [X5 : $int,X13 : $int] : (mem(int,t2tb1(X5),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19)),t2tb(X23))) => (mem(int,t2tb1(X13),t2tb(X23)) => $less(X5,X13))) & ! [X17 : map_int_int] : ((partial_solution1(n1,X17) & eq_prefix1(int,t2tb2(X26),t2tb2(X17),X25) & mem(int,get(int,int,t2tb2(X17),t2tb1(X25)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19)),t2tb(X23)))) <=> ? [X5 : $int] : ($lesseq(X2,X5) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X24),t2tb1(X5)),n1) & $less(X5,X3))) & eq_prefix1(int,t2tb2(X21),t2tb2(X26),X25) & eq_prefix1(map(int,int),t2tb3(X20),t2tb3(X24),X2)) => (~is_empty(int,t2tb(X23)) => ! [X27 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X26),t2tb1(X25),t2tb1(min_elt1(X23)))) = X27 => ! [X28 : $int] : ($sum(X25,1) = X28 => ! [X5 : $int] : (mem(int,t2tb1(X5),remove(int,t2tb1(min_elt1(X23)),t2tb(X0))) => ! [X13 : $int] : (($less(X13,X28) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X27),t2tb1(X13))) != X5))))))))), 15.15/2.49 inference(negated_conjecture,[],[f54])). 15.15/2.49 tff(f54,conjecture,( 15.15/2.49 ! [X0 : set_int,X8 : set_int,X19 : set_int,X2 : $int,X20 : map_int_lpmap_int_intrp,X18 : $int,X21 : map_int_int] : (($lesseq(0,X18) & n1 = $sum(X18,cardinal1(int,t2tb(X0))) & ! [X5 : $int] : ((! [X13 : $int] : (($lesseq(0,X13) & $less(X13,X18)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != X5) & $less(X5,n1) & $lesseq(0,X5)) <=> mem(int,t2tb1(X5),t2tb(X0))) & ! [X5 : $int] : ($lesseq(0,X5) => (! [X13 : $int] : (($lesseq(0,X13) & $less(X13,X18)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != $difference($sum(X5,X13),X18)) <=> ~mem(int,t2tb1(X5),t2tb(X8)))) & partial_solution1(X18,X21) & ! [X5 : $int] : ($lesseq(0,X5) => (! [X13 : $int] : (($less(X13,X18) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X21),t2tb1(X13))) != $difference($sum(X5,X18),X13)) <=> ~mem(int,t2tb1(X5),t2tb(X19)))) & $lesseq(0,X2)) => (~is_empty(int,t2tb(X0)) => ! [X22 : $int,X23 : set_int,X3 : $int,X24 : map_int_lpmap_int_intrp,X25 : $int,X26 : map_int_int] : (($difference(X3,X2) = X22 & $lesseq(0,$difference(X3,X2)) & X18 = X25 & subset(int,t2tb(X23),diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19))) & partial_solution1(X25,X26) & sorted1(X24,X2,X3) & ! [X5 : $int,X13 : $int] : (mem(int,t2tb1(X5),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19)),t2tb(X23))) => (mem(int,t2tb1(X13),t2tb(X23)) => $less(X5,X13))) & ! [X17 : map_int_int] : ((partial_solution1(n1,X17) & eq_prefix1(int,t2tb2(X26),t2tb2(X17),X25) & mem(int,get(int,int,t2tb2(X17),t2tb1(X25)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X8)),t2tb(X19)),t2tb(X23)))) <=> ? [X5 : $int] : ($lesseq(X2,X5) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X24),t2tb1(X5)),n1) & $less(X5,X3))) & eq_prefix1(int,t2tb2(X21),t2tb2(X26),X25) & eq_prefix1(map(int,int),t2tb3(X20),t2tb3(X24),X2)) => (~is_empty(int,t2tb(X23)) => ! [X27 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X26),t2tb1(X25),t2tb1(min_elt1(X23)))) = X27 => ! [X28 : $int] : ($sum(X25,1) = X28 => ! [X5 : $int] : (mem(int,t2tb1(X5),remove(int,t2tb1(min_elt1(X23)),t2tb(X0))) => ! [X13 : $int] : (($less(X13,X28) & $lesseq(0,X13)) => tb2t1(get(int,int,t2tb2(X27),t2tb1(X13))) != X5))))))))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_t3)). 15.15/2.49 tff(f32983,plain,( 15.15/2.49 spl30_476 | ~spl30_456 | spl30_19 | ~spl30_26 | ~spl30_61), 15.15/2.49 inference(avatar_split_clause,[],[f32982,f1431,f657,f590,f19578,f20417])). 15.15/2.49 tff(f20417,plain,( 15.15/2.49 spl30_476 <=> ! [X201 : $int,X200 : $int,X195 : uni] : (~$less(sK16,X200) | ~eq_prefix1(int,X195,t2tb2(sK13),X201) | ~$less(sK16,X201) | ~eq_prefix1(int,t2tb2(sK6),X195,X200))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_476])])). 15.15/2.49 tff(f32982,plain,( 15.15/2.49 ( ! [X8 : $int,X9 : $int,X7 : uni] : (~$less(sK16,sK5) | ~$less(sK16,X8) | ~eq_prefix1(int,t2tb2(sK6),X7,X8) | ~$less(sK16,X9) | ~eq_prefix1(int,X7,t2tb2(sK13),X9)) ) | (spl30_19 | ~spl30_26 | ~spl30_61)), 15.15/2.49 inference(subsumption_resolution,[],[f32981,f592])). 15.15/2.49 tff(f32981,plain,( 15.15/2.49 ( ! [X8 : $int,X9 : $int,X7 : uni] : ($less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X8) | ~eq_prefix1(int,t2tb2(sK6),X7,X8) | ~$less(sK16,X9) | ~eq_prefix1(int,X7,t2tb2(sK13),X9)) ) | (spl30_19 | ~spl30_26 | ~spl30_61)), 15.15/2.49 inference(subsumption_resolution,[],[f32942,f1433])). 15.15/2.49 tff(f32942,plain,( 15.15/2.49 ( ! [X8 : $int,X9 : $int,X7 : uni] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X8) | ~eq_prefix1(int,t2tb2(sK6),X7,X8) | ~$less(sK16,X9) | ~eq_prefix1(int,X7,t2tb2(sK13),X9)) ) | (spl30_19 | ~spl30_26)), 15.15/2.49 inference(superposition,[],[f2551,f1798])). 15.15/2.49 tff(f1798,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : $int] : (t2tb1(sK15) = get(int,int,X0,t2tb1(sK16)) | ~$less(sK16,X1) | ~eq_prefix1(int,X0,t2tb2(sK13),X1)) ) | (spl30_19 | ~spl30_26)), 15.15/2.49 inference(subsumption_resolution,[],[f1772,f592])). 15.15/2.49 tff(f1772,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : $int] : (t2tb1(sK15) = get(int,int,X0,t2tb1(sK16)) | ~$less(sK16,X1) | $less(sK16,0) | ~eq_prefix1(int,X0,t2tb2(sK13),X1)) ) | ~spl30_26), 15.15/2.49 inference(superposition,[],[f409,f659])). 15.15/2.49 tff(f32980,plain,( 15.15/2.49 spl30_453 | ~spl30_456 | spl30_19 | ~spl30_61 | ~spl30_438), 15.15/2.49 inference(avatar_split_clause,[],[f32979,f19248,f1431,f590,f19578,f19512])). 15.15/2.49 tff(f19512,plain,( 15.15/2.49 spl30_453 <=> ! [X118 : $int] : (~$less(sK16,X118) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X118))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_453])])). 15.15/2.49 tff(f19248,plain,( 15.15/2.49 spl30_438 <=> t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_438])])). 15.15/2.49 tff(f32979,plain,( 15.15/2.49 ( ! [X4 : $int] : (~$less(sK16,sK5) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X4)) ) | (spl30_19 | ~spl30_61 | ~spl30_438)), 15.15/2.49 inference(subsumption_resolution,[],[f32978,f592])). 15.15/2.49 tff(f32978,plain,( 15.15/2.49 ( ! [X4 : $int] : ($less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X4)) ) | (~spl30_61 | ~spl30_438)), 15.15/2.49 inference(subsumption_resolution,[],[f32940,f1433])). 15.15/2.49 tff(f32940,plain,( 15.15/2.49 ( ! [X4 : $int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X4)) ) | ~spl30_438), 15.15/2.49 inference(superposition,[],[f2551,f19250])). 15.15/2.49 tff(f19250,plain,( 15.15/2.49 t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16)) | ~spl30_438), 15.15/2.49 inference(avatar_component_clause,[],[f19248])). 15.15/2.49 tff(f32874,plain,( 15.15/2.49 ~spl30_775 | spl30_654), 15.15/2.49 inference(avatar_split_clause,[],[f32842,f26495,f32871])). 15.15/2.49 tff(f32871,plain,( 15.15/2.49 spl30_775 <=> infix_eqeq(int,union(int,t2tb(sK1),t2tb(sK1)),t2tb(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_775])])). 15.15/2.49 tff(f26495,plain,( 15.15/2.49 spl30_654 <=> subset(int,t2tb(sK0),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_654])])). 15.15/2.49 tff(f32842,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,t2tb(sK1),t2tb(sK1)),t2tb(sK0)) | spl30_654), 15.15/2.49 inference(resolution,[],[f30367,f26915])). 15.15/2.49 tff(f26915,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (subset(X0,union(X0,X1,X1),X1)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f26853])). 15.15/2.49 tff(f26853,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (subset(X0,union(X0,X1,X1),X1) | subset(X0,union(X0,X1,X1),X1)) )), 15.15/2.49 inference(resolution,[],[f6605,f383])). 15.15/2.49 tff(f383,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,sK26(X0,X1,X2),X2) | subset(X0,X1,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f243])). 15.15/2.49 tff(f243,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | (~mem(X0,sK26(X0,X1,X2),X2) & mem(X0,sK26(X0,X1,X2),X1) & sort1(X0,sK26(X0,X1,X2)))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 15.15/2.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f175,f242])). 15.15/2.49 tff(f242,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3)) => (~mem(X0,sK26(X0,X1,X2),X2) & mem(X0,sK26(X0,X1,X2),X1) & sort1(X0,sK26(X0,X1,X2))))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f175,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | ? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 15.15/2.49 inference(flattening,[],[f174])). 15.15/2.49 tff(f174,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | ? [X3 : uni] : ((~mem(X0,X3,X2) & mem(X0,X3,X1)) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 15.15/2.49 inference(ennf_transformation,[],[f136])). 15.15/2.49 tff(f136,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) => mem(X0,X3,X2))) => subset(X0,X1,X2)) & (subset(X0,X1,X2) => ! [X4 : uni] : (mem(X0,X4,X1) => mem(X0,X4,X2))))), 15.15/2.49 inference(rectify,[],[f2])). 15.15/2.49 tff(f2,axiom,( 15.15/2.49 ! [X0 : ty,X3 : uni,X4 : uni] : ((! [X1 : uni] : (sort1(X0,X1) => (mem(X0,X1,X3) => mem(X0,X1,X4))) => subset(X0,X3,X4)) & (subset(X0,X3,X4) => ! [X1 : uni] : (mem(X0,X1,X3) => mem(X0,X1,X4))))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_def)). 15.15/2.49 tff(f6605,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK26(X0,union(X0,X1,X2),X2),X1) | subset(X0,union(X0,X1,X2),X2)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f6568])). 15.15/2.49 tff(f6568,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK26(X0,union(X0,X1,X2),X2),X1) | subset(X0,union(X0,X1,X2),X2) | subset(X0,union(X0,X1,X2),X2)) )), 15.15/2.49 inference(resolution,[],[f1270,f383])). 15.15/2.49 tff(f1270,plain,( 15.15/2.49 ( ! [X18 : uni,X19 : uni,X16 : ty,X17 : uni] : (mem(X16,sK26(X16,union(X16,X17,X18),X19),X18) | mem(X16,sK26(X16,union(X16,X17,X18),X19),X17) | subset(X16,union(X16,X17,X18),X19)) )), 15.15/2.49 inference(resolution,[],[f413,f382])). 15.15/2.49 tff(f382,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK26(X0,X1,X2),X1) | subset(X0,X1,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f243])). 15.15/2.49 tff(f413,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X3,union(X0,X1,X2)) | mem(X0,X3,X1) | mem(X0,X3,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f257])). 15.15/2.49 tff(f257,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X3,union(X0,X1,X2)) | (~mem(X0,X3,X2) & ~mem(X0,X3,X1))) & (mem(X0,X3,X2) | mem(X0,X3,X1) | ~mem(X0,X3,union(X0,X1,X2))))), 15.15/2.49 inference(flattening,[],[f256])). 15.15/2.49 tff(f256,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X3,union(X0,X1,X2)) | (~mem(X0,X3,X2) & ~mem(X0,X3,X1))) & ((mem(X0,X3,X2) | mem(X0,X3,X1)) | ~mem(X0,X3,union(X0,X1,X2))))), 15.15/2.49 inference(nnf_transformation,[],[f152])). 15.15/2.49 tff(f152,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (mem(X0,X3,union(X0,X1,X2)) <=> (mem(X0,X3,X2) | mem(X0,X3,X1)))), 15.15/2.49 inference(rectify,[],[f77])). 15.15/2.49 tff(f77,axiom,( 15.15/2.49 ! [X0 : ty,X3 : uni,X4 : uni,X1 : uni] : (mem(X0,X1,union(X0,X3,X4)) <=> (mem(X0,X1,X4) | mem(X0,X1,X3)))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_def1)). 15.15/2.49 tff(f30367,plain,( 15.15/2.49 ( ! [X0 : uni] : (~subset(int,X0,t2tb(sK1)) | ~infix_eqeq(int,X0,t2tb(sK0))) ) | spl30_654), 15.15/2.49 inference(resolution,[],[f26569,f3303])). 15.15/2.49 tff(f3303,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni,X5 : uni] : (subset(X3,X5,X4) | ~infix_eqeq(X3,X4,X5)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f3292])). 15.15/2.49 tff(f3292,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni,X5 : uni] : (~infix_eqeq(X3,X4,X5) | subset(X3,X5,X4) | subset(X3,X5,X4)) )), 15.15/2.49 inference(resolution,[],[f1055,f382])). 15.15/2.49 tff(f1055,plain,( 15.15/2.49 ( ! [X31 : ty,X34 : uni,X32 : uni,X33 : uni] : (~mem(X31,sK26(X31,X32,X33),X34) | ~infix_eqeq(X31,X33,X34) | subset(X31,X32,X33)) )), 15.15/2.49 inference(resolution,[],[f376,f383])). 15.15/2.49 tff(f376,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni,X4 : uni] : (mem(X0,X4,X1) | ~mem(X0,X4,X2) | ~infix_eqeq(X0,X1,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f241])). 15.15/2.49 tff(f241,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ((~mem(X0,sK25(X0,X1,X2),X2) | ~mem(X0,sK25(X0,X1,X2),X1)) & (mem(X0,sK25(X0,X1,X2),X2) | mem(X0,sK25(X0,X1,X2),X1)) & sort1(X0,sK25(X0,X1,X2)))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 15.15/2.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f239,f240])). 15.15/2.49 tff(f240,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni] : ((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1)) & sort1(X0,X3)) => ((~mem(X0,sK25(X0,X1,X2),X2) | ~mem(X0,sK25(X0,X1,X2),X1)) & (mem(X0,sK25(X0,X1,X2),X2) | mem(X0,sK25(X0,X1,X2),X1)) & sort1(X0,sK25(X0,X1,X2))))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f239,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : ((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1)) & sort1(X0,X3))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 15.15/2.49 inference(flattening,[],[f238])). 15.15/2.49 tff(f238,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : (((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1))) & sort1(X0,X3))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 15.15/2.49 inference(nnf_transformation,[],[f173])). 15.15/2.49 tff(f173,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : ((mem(X0,X3,X1) <~> mem(X0,X3,X2)) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X1) <=> mem(X0,X4,X2)) | ~infix_eqeq(X0,X1,X2)))), 15.15/2.49 inference(ennf_transformation,[],[f135])). 15.15/2.49 tff(f135,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) <=> mem(X0,X3,X2))) => infix_eqeq(X0,X1,X2)) & (infix_eqeq(X0,X1,X2) => ! [X4 : uni] : (mem(X0,X4,X1) <=> mem(X0,X4,X2))))), 15.15/2.49 inference(rectify,[],[f31])). 15.15/2.49 tff(f31,axiom,( 15.15/2.49 ! [X0 : ty,X3 : uni,X4 : uni] : ((! [X1 : uni] : (sort1(X0,X1) => (mem(X0,X1,X3) <=> mem(X0,X1,X4))) => infix_eqeq(X0,X3,X4)) & (infix_eqeq(X0,X3,X4) => ! [X1 : uni] : (mem(X0,X1,X3) <=> mem(X0,X1,X4))))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',infix_eqeq_def)). 15.15/2.49 tff(f26569,plain,( 15.15/2.49 ( ! [X0 : uni] : (~subset(int,t2tb(sK0),X0) | ~subset(int,X0,t2tb(sK1))) ) | spl30_654), 15.15/2.49 inference(resolution,[],[f26497,f408])). 15.15/2.49 tff(f408,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (subset(X0,X1,X3) | ~subset(X0,X2,X3) | ~subset(X0,X1,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f199])). 15.15/2.49 tff(f199,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (subset(X0,X1,X3) | ~subset(X0,X2,X3) | ~subset(X0,X1,X2))), 15.15/2.49 inference(flattening,[],[f198])). 15.15/2.49 tff(f198,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((subset(X0,X1,X3) | ~subset(X0,X2,X3)) | ~subset(X0,X1,X2))), 15.15/2.49 inference(ennf_transformation,[],[f150])). 15.15/2.49 tff(f150,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (subset(X0,X1,X2) => (subset(X0,X2,X3) => subset(X0,X1,X3)))), 15.15/2.49 inference(rectify,[],[f58])). 15.15/2.49 tff(f58,axiom,( 15.15/2.49 ! [X0 : ty,X3 : uni,X4 : uni,X29 : uni] : (subset(X0,X3,X4) => (subset(X0,X4,X29) => subset(X0,X3,X29)))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_trans)). 15.15/2.49 tff(f26497,plain,( 15.15/2.49 ~subset(int,t2tb(sK0),t2tb(sK1)) | spl30_654), 15.15/2.49 inference(avatar_component_clause,[],[f26495])). 15.15/2.49 tff(f32865,plain,( 15.15/2.49 ~spl30_751 | ~spl30_179 | ~spl30_511 | spl30_654 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f32829,f26658,f26495,f21494,f5860,f31072])). 15.15/2.49 tff(f31072,plain,( 15.15/2.49 spl30_751 <=> infix_eqeq(int,union(int,empty(int),empty(int)),t2tb(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_751])])). 15.15/2.49 tff(f5860,plain,( 15.15/2.49 spl30_179 <=> t2tb(below1(0)) = empty(int)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_179])])). 15.15/2.49 tff(f21494,plain,( 15.15/2.49 spl30_511 <=> below1(0) = pred1(succ1(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_511])])). 15.15/2.49 tff(f26658,plain,( 15.15/2.49 spl30_662 <=> is_empty(int,union(int,t2tb(pred1(succ1(sK0))),empty(int)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_662])])). 15.15/2.49 tff(f32829,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,empty(int),empty(int)),t2tb(sK0)) | (~spl30_179 | ~spl30_511 | spl30_654 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30367,f31037])). 15.15/2.49 tff(f31037,plain,( 15.15/2.49 ( ! [X21 : uni] : (subset(int,union(int,empty(int),empty(int)),X21)) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30917,f382])). 15.15/2.49 tff(f30917,plain,( 15.15/2.49 ( ! [X55 : uni] : (~mem(int,X55,union(int,empty(int),empty(int)))) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30843,f1069])). 15.15/2.49 tff(f1069,plain,( 15.15/2.49 ( ! [X6 : uni,X4 : ty,X5 : uni] : (~subset(X4,X6,empty(X4)) | ~mem(X4,X5,X6)) )), 15.15/2.49 inference(resolution,[],[f380,f351])). 15.15/2.49 tff(f351,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (~mem(X0,X1,empty(X0))) )), 15.15/2.49 inference(cnf_transformation,[],[f123])). 15.15/2.49 tff(f123,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : ~mem(X0,X1,empty(X0))), 15.15/2.49 inference(flattening,[],[f122])). 15.15/2.49 tff(f122,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : ~mem(X0,X1,empty(X0))), 15.15/2.49 inference(true_and_false_elimination,[],[f66])). 15.15/2.49 tff(f66,axiom,( 15.15/2.49 ! [X0 : ty,X1 : uni] : (mem(X0,X1,empty(X0)) <=> $false)), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_empty)). 15.15/2.49 tff(f380,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni,X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1) | ~subset(X0,X1,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f243])). 15.15/2.49 tff(f30843,plain,( 15.15/2.49 ( ! [X18 : uni] : (subset(int,union(int,empty(int),X18),X18)) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(forward_demodulation,[],[f30842,f5862])). 15.15/2.49 tff(f5862,plain,( 15.15/2.49 t2tb(below1(0)) = empty(int) | ~spl30_179), 15.15/2.49 inference(avatar_component_clause,[],[f5860])). 15.15/2.49 tff(f30842,plain,( 15.15/2.49 ( ! [X18 : uni] : (subset(int,union(int,t2tb(below1(0)),X18),X18)) ) | (~spl30_511 | ~spl30_662)), 15.15/2.49 inference(forward_demodulation,[],[f28078,f21496])). 15.15/2.49 tff(f21496,plain,( 15.15/2.49 below1(0) = pred1(succ1(sK0)) | ~spl30_511), 15.15/2.49 inference(avatar_component_clause,[],[f21494])). 15.15/2.49 tff(f28078,plain,( 15.15/2.49 ( ! [X18 : uni] : (subset(int,union(int,t2tb(pred1(succ1(sK0))),X18),X18)) ) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f6605])). 15.15/2.49 tff(f27987,plain,( 15.15/2.49 ( ! [X2 : uni] : (~mem(int,X2,t2tb(pred1(succ1(sK0))))) ) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f26660,f920])). 15.15/2.49 tff(f920,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~is_empty(X0,union(X0,X2,X3)) | ~mem(X0,X1,X2)) )), 15.15/2.49 inference(resolution,[],[f414,f332])). 15.15/2.49 tff(f332,plain,( 15.15/2.49 ( ! [X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X3,X1) | ~is_empty(X0,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f221])). 15.15/2.49 tff(f221,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | (mem(X0,sK21(X0,X1),X1) & sort1(X0,sK21(X0,X1)))) & (! [X3 : uni] : ~mem(X0,X3,X1) | ~is_empty(X0,X1)))), 15.15/2.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f165,f220])). 15.15/2.49 tff(f220,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : (? [X2 : uni] : (mem(X0,X2,X1) & sort1(X0,X2)) => (mem(X0,sK21(X0,X1),X1) & sort1(X0,sK21(X0,X1))))), 15.15/2.49 introduced(choice_axiom,[])). 15.15/2.49 tff(f165,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | ? [X2 : uni] : (mem(X0,X2,X1) & sort1(X0,X2))) & (! [X3 : uni] : ~mem(X0,X3,X1) | ~is_empty(X0,X1)))), 15.15/2.49 inference(ennf_transformation,[],[f115])). 15.15/2.49 tff(f115,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : ((! [X2 : uni] : (sort1(X0,X2) => ~mem(X0,X2,X1)) => is_empty(X0,X1)) & (is_empty(X0,X1) => ! [X3 : uni] : ~mem(X0,X3,X1)))), 15.15/2.49 inference(rectify,[],[f18])). 15.15/2.49 tff(f18,axiom,( 15.15/2.49 ! [X0 : ty,X2 : uni] : ((! [X1 : uni] : (sort1(X0,X1) => ~mem(X0,X1,X2)) => is_empty(X0,X2)) & (is_empty(X0,X2) => ! [X1 : uni] : ~mem(X0,X1,X2)))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_empty_def)). 15.15/2.49 tff(f414,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X3,union(X0,X1,X2)) | ~mem(X0,X3,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f257])). 15.15/2.49 tff(f26660,plain,( 15.15/2.49 is_empty(int,union(int,t2tb(pred1(succ1(sK0))),empty(int))) | ~spl30_662), 15.15/2.49 inference(avatar_component_clause,[],[f26658])). 15.15/2.49 tff(f32864,plain,( 15.15/2.49 ~spl30_774 | ~spl30_179 | ~spl30_511 | spl30_654 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f32828,f26658,f26495,f21494,f5860,f32861])). 15.15/2.49 tff(f32861,plain,( 15.15/2.49 spl30_774 <=> infix_eqeq(int,union(int,empty(int),t2tb(sK1)),t2tb(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_774])])). 15.15/2.49 tff(f32828,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,empty(int),t2tb(sK1)),t2tb(sK0)) | (~spl30_179 | ~spl30_511 | spl30_654 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30367,f30843])). 15.15/2.49 tff(f32726,plain,( 15.15/2.49 ~spl30_773 | spl30_737), 15.15/2.49 inference(avatar_split_clause,[],[f32707,f30154,f32723])). 15.15/2.49 tff(f32723,plain,( 15.15/2.49 spl30_773 <=> infix_eqeq(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_773])])). 15.15/2.49 tff(f30154,plain,( 15.15/2.49 spl30_737 <=> subset(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_737])])). 15.15/2.49 tff(f32707,plain,( 15.15/2.49 ~infix_eqeq(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK1)) | spl30_737), 15.15/2.49 inference(resolution,[],[f30156,f3151])). 15.15/2.49 tff(f3151,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni,X5 : uni] : (subset(X3,X4,X5) | ~infix_eqeq(X3,X4,X5)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f3140])). 15.15/2.49 tff(f3140,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni,X5 : uni] : (~infix_eqeq(X3,X4,X5) | subset(X3,X4,X5) | subset(X3,X4,X5)) )), 15.15/2.49 inference(resolution,[],[f1034,f382])). 15.15/2.49 tff(f1034,plain,( 15.15/2.49 ( ! [X31 : ty,X34 : uni,X32 : uni,X33 : uni] : (~mem(X31,sK26(X31,X32,X33),X34) | ~infix_eqeq(X31,X34,X33) | subset(X31,X32,X33)) )), 15.15/2.49 inference(resolution,[],[f375,f383])). 15.15/2.49 tff(f375,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni,X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1) | ~infix_eqeq(X0,X1,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f241])). 15.15/2.49 tff(f30156,plain,( 15.15/2.49 ~subset(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK1)) | spl30_737), 15.15/2.49 inference(avatar_component_clause,[],[f30154])). 15.15/2.49 tff(f32721,plain,( 15.15/2.49 ~spl30_772 | spl30_737), 15.15/2.49 inference(avatar_split_clause,[],[f32706,f30154,f32718])). 15.15/2.49 tff(f32718,plain,( 15.15/2.49 spl30_772 <=> infix_eqeq(int,t2tb(sK1),inter(int,t2tb(sK8),t2tb(sK8)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_772])])). 15.15/2.49 tff(f32706,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK1),inter(int,t2tb(sK8),t2tb(sK8))) | spl30_737), 15.15/2.49 inference(resolution,[],[f30156,f3303])). 15.15/2.49 tff(f32716,plain,( 15.15/2.49 ~spl30_771 | spl30_737), 15.15/2.49 inference(avatar_split_clause,[],[f32705,f30154,f32713])). 15.15/2.49 tff(f32713,plain,( 15.15/2.49 spl30_771 <=> t2tb(sK1) = inter(int,t2tb(sK8),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_771])])). 15.15/2.49 tff(f32705,plain,( 15.15/2.49 t2tb(sK1) != inter(int,t2tb(sK8),t2tb(sK8)) | spl30_737), 15.15/2.49 inference(constrained_resolution,[],[f30156,f327])). 15.15/2.49 tff(f327,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (subset(X0,X1,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f113])). 15.15/2.49 tff(f113,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : subset(X0,X1,X1)), 15.15/2.49 inference(rectify,[],[f4])). 15.15/2.49 tff(f4,axiom,( 15.15/2.49 ! [X0 : ty,X2 : uni] : subset(X0,X2,X2)), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_refl)). 15.15/2.49 tff(f32545,plain,( 15.15/2.49 spl30_753 | ~spl30_146 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f32544,f26658,f21494,f5860,f4283,f31083])). 15.15/2.49 tff(f31083,plain,( 15.15/2.49 spl30_753 <=> infix_eqeq(int,union(int,empty(int),empty(int)),empty(int))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_753])])). 15.15/2.49 tff(f4283,plain,( 15.15/2.49 spl30_146 <=> ! [X20 : uni,X19 : uni] : ~mem(int,X19,inter(int,X20,empty(int)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_146])])). 15.15/2.49 tff(f32544,plain,( 15.15/2.49 infix_eqeq(int,union(int,empty(int),empty(int)),empty(int)) | (~spl30_146 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(forward_demodulation,[],[f32502,f4350])). 15.15/2.49 tff(f4350,plain,( 15.15/2.49 ( ! [X9 : uni] : (empty(int) = inter(int,X9,empty(int))) ) | ~spl30_146), 15.15/2.49 inference(subsumption_resolution,[],[f4349,f367])). 15.15/2.49 tff(f367,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (sort1(set(X0),inter(X0,X1,X2))) )), 15.15/2.49 inference(cnf_transformation,[],[f129])). 15.15/2.49 tff(f129,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : sort1(set(X0),inter(X0,X1,X2))), 15.15/2.49 inference(rectify,[],[f74])). 15.15/2.49 tff(f74,axiom,( 15.15/2.49 ! [X0 : ty,X1 : uni,X6 : uni] : sort1(set(X0),inter(X0,X1,X6))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inter_sort1)). 15.15/2.49 tff(f4349,plain,( 15.15/2.49 ( ! [X9 : uni] : (empty(int) = inter(int,X9,empty(int)) | ~sort1(set(int),inter(int,X9,empty(int)))) ) | ~spl30_146), 15.15/2.49 inference(subsumption_resolution,[],[f4347,f317])). 15.15/2.49 tff(f317,plain,( 15.15/2.49 ( ! [X0 : ty] : (sort1(set(X0),empty(X0))) )), 15.15/2.49 inference(cnf_transformation,[],[f72])). 15.15/2.49 tff(f72,axiom,( 15.15/2.49 ! [X0 : ty] : sort1(set(X0),empty(X0))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_sort1)). 15.15/2.49 tff(f4347,plain,( 15.15/2.49 ( ! [X9 : uni] : (empty(int) = inter(int,X9,empty(int)) | ~sort1(set(int),empty(int)) | ~sort1(set(int),inter(int,X9,empty(int)))) ) | ~spl30_146), 15.15/2.49 inference(resolution,[],[f4321,f392])). 15.15/2.49 tff(f392,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~infix_eqeq(X0,X1,X2) | X1 = X2 | ~sort1(set(X0),X2) | ~sort1(set(X0),X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f186])). 15.15/2.49 tff(f186,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : (X1 = X2 | ~infix_eqeq(X0,X1,X2) | ~sort1(set(X0),X2) | ~sort1(set(X0),X1))), 15.15/2.49 inference(flattening,[],[f185])). 15.15/2.49 tff(f185,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : (((X1 = X2 | ~infix_eqeq(X0,X1,X2)) | ~sort1(set(X0),X2)) | ~sort1(set(X0),X1))), 15.15/2.49 inference(ennf_transformation,[],[f142])). 15.15/2.49 tff(f142,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(set(X0),X1) => (sort1(set(X0),X2) => (infix_eqeq(X0,X1,X2) => X1 = X2)))), 15.15/2.49 inference(rectify,[],[f51])). 15.15/2.49 tff(f51,axiom,( 15.15/2.49 ! [X0 : ty,X3 : uni,X4 : uni] : (sort1(set(X0),X3) => (sort1(set(X0),X4) => (infix_eqeq(X0,X3,X4) => X3 = X4)))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality)). 15.15/2.49 tff(f4321,plain,( 15.15/2.49 ( ! [X14 : uni] : (infix_eqeq(int,inter(int,X14,empty(int)),empty(int))) ) | ~spl30_146), 15.15/2.49 inference(resolution,[],[f4284,f1520])). 15.15/2.49 tff(f1520,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni] : (mem(X3,sK25(X3,X4,empty(X3)),X4) | infix_eqeq(X3,X4,empty(X3))) )), 15.15/2.49 inference(resolution,[],[f378,f351])). 15.15/2.49 tff(f378,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK25(X0,X1,X2),X2) | infix_eqeq(X0,X1,X2) | mem(X0,sK25(X0,X1,X2),X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f241])). 15.15/2.49 tff(f4284,plain,( 15.15/2.49 ( ! [X19 : uni,X20 : uni] : (~mem(int,X19,inter(int,X20,empty(int)))) ) | ~spl30_146), 15.15/2.49 inference(avatar_component_clause,[],[f4283])). 15.15/2.49 tff(f32502,plain,( 15.15/2.49 ( ! [X125 : uni] : (infix_eqeq(int,union(int,empty(int),empty(int)),inter(int,X125,empty(int)))) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f6747,f30917])). 15.15/2.49 tff(f6747,plain,( 15.15/2.49 ( ! [X18 : uni,X16 : ty,X17 : uni] : (mem(X16,sK25(X16,X17,inter(X16,X18,empty(X16))),X17) | infix_eqeq(X16,X17,inter(X16,X18,empty(X16)))) )), 15.15/2.49 inference(resolution,[],[f1525,f351])). 15.15/2.49 tff(f1525,plain,( 15.15/2.49 ( ! [X21 : uni,X22 : uni,X23 : uni,X20 : ty] : (mem(X20,sK25(X20,X21,inter(X20,X22,X23)),X23) | mem(X20,sK25(X20,X21,inter(X20,X22,X23)),X21) | infix_eqeq(X20,X21,inter(X20,X22,X23))) )), 15.15/2.49 inference(resolution,[],[f378,f420])). 15.15/2.49 tff(f420,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X3,inter(X0,X1,X2)) | mem(X0,X3,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f261])). 15.15/2.49 tff(f261,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X3,X1) & mem(X0,X3,X2)) | ~mem(X0,X3,inter(X0,X1,X2))) & (mem(X0,X3,inter(X0,X1,X2)) | ~mem(X0,X3,X1) | ~mem(X0,X3,X2)))), 15.15/2.49 inference(flattening,[],[f260])). 15.15/2.49 tff(f260,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X3,X1) & mem(X0,X3,X2)) | ~mem(X0,X3,inter(X0,X1,X2))) & (mem(X0,X3,inter(X0,X1,X2)) | (~mem(X0,X3,X1) | ~mem(X0,X3,X2))))), 15.15/2.49 inference(nnf_transformation,[],[f154])). 15.15/2.49 tff(f154,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X3,X1) & mem(X0,X3,X2)) <=> mem(X0,X3,inter(X0,X1,X2)))), 15.15/2.49 inference(rectify,[],[f49])). 15.15/2.49 tff(f49,axiom,( 15.15/2.49 ! [X0 : ty,X3 : uni,X4 : uni,X1 : uni] : ((mem(X0,X1,X3) & mem(X0,X1,X4)) <=> mem(X0,X1,inter(X0,X3,X4)))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inter_def1)). 15.15/2.49 tff(f32462,plain,( 15.15/2.49 ~spl30_770 | spl30_652), 15.15/2.49 inference(avatar_split_clause,[],[f32430,f26483,f32459])). 15.15/2.49 tff(f32459,plain,( 15.15/2.49 spl30_770 <=> infix_eqeq(int,t2tb(sK8),union(int,t2tb(sK1),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_770])])). 15.15/2.49 tff(f26483,plain,( 15.15/2.49 spl30_652 <=> subset(int,t2tb(sK8),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_652])])). 15.15/2.49 tff(f32430,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK8),union(int,t2tb(sK1),t2tb(sK1))) | spl30_652), 15.15/2.49 inference(resolution,[],[f30140,f26915])). 15.15/2.49 tff(f30140,plain,( 15.15/2.49 ( ! [X1 : uni] : (~subset(int,X1,t2tb(sK1)) | ~infix_eqeq(int,t2tb(sK8),X1)) ) | spl30_652), 15.15/2.49 inference(resolution,[],[f26541,f3151])). 15.15/2.49 tff(f26541,plain,( 15.15/2.49 ( ! [X0 : uni] : (~subset(int,t2tb(sK8),X0) | ~subset(int,X0,t2tb(sK1))) ) | spl30_652), 15.15/2.49 inference(resolution,[],[f26485,f408])). 15.15/2.49 tff(f26485,plain,( 15.15/2.49 ~subset(int,t2tb(sK8),t2tb(sK1)) | spl30_652), 15.15/2.49 inference(avatar_component_clause,[],[f26483])). 15.15/2.49 tff(f32453,plain,( 15.15/2.49 ~spl30_754 | ~spl30_179 | ~spl30_511 | spl30_652 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f32417,f26658,f26483,f21494,f5860,f31143])). 15.15/2.49 tff(f31143,plain,( 15.15/2.49 spl30_754 <=> infix_eqeq(int,t2tb(sK8),union(int,empty(int),empty(int)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_754])])). 15.15/2.49 tff(f32417,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK8),union(int,empty(int),empty(int))) | (~spl30_179 | ~spl30_511 | spl30_652 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30140,f31037])). 15.15/2.49 tff(f32452,plain,( 15.15/2.49 ~spl30_769 | ~spl30_179 | ~spl30_511 | spl30_652 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f32416,f26658,f26483,f21494,f5860,f32449])). 15.15/2.49 tff(f32449,plain,( 15.15/2.49 spl30_769 <=> infix_eqeq(int,t2tb(sK8),union(int,empty(int),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_769])])). 15.15/2.49 tff(f32416,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK8),union(int,empty(int),t2tb(sK1))) | (~spl30_179 | ~spl30_511 | spl30_652 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30140,f30843])). 15.15/2.49 tff(f32370,plain,( 15.15/2.49 spl30_753 | ~spl30_147 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f32369,f26658,f21494,f5860,f4452,f31083])). 15.15/2.49 tff(f4452,plain,( 15.15/2.49 spl30_147 <=> ! [X20 : uni,X19 : uni] : ~mem(int,X19,inter(int,empty(int),X20))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_147])])). 15.15/2.49 tff(f32369,plain,( 15.15/2.49 infix_eqeq(int,union(int,empty(int),empty(int)),empty(int)) | (~spl30_147 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(forward_demodulation,[],[f32327,f4651])). 15.15/2.49 tff(f4651,plain,( 15.15/2.49 ( ! [X9 : uni] : (empty(int) = inter(int,empty(int),X9)) ) | ~spl30_147), 15.15/2.49 inference(subsumption_resolution,[],[f4650,f367])). 15.15/2.49 tff(f4650,plain,( 15.15/2.49 ( ! [X9 : uni] : (empty(int) = inter(int,empty(int),X9) | ~sort1(set(int),inter(int,empty(int),X9))) ) | ~spl30_147), 15.15/2.49 inference(subsumption_resolution,[],[f4646,f317])). 15.15/2.49 tff(f4646,plain,( 15.15/2.49 ( ! [X9 : uni] : (empty(int) = inter(int,empty(int),X9) | ~sort1(set(int),empty(int)) | ~sort1(set(int),inter(int,empty(int),X9))) ) | ~spl30_147), 15.15/2.49 inference(resolution,[],[f4583,f392])). 15.15/2.49 tff(f4583,plain,( 15.15/2.49 ( ! [X14 : uni] : (infix_eqeq(int,inter(int,empty(int),X14),empty(int))) ) | ~spl30_147), 15.15/2.49 inference(resolution,[],[f4453,f1520])). 15.15/2.49 tff(f4453,plain,( 15.15/2.49 ( ! [X19 : uni,X20 : uni] : (~mem(int,X19,inter(int,empty(int),X20))) ) | ~spl30_147), 15.15/2.49 inference(avatar_component_clause,[],[f4452])). 15.15/2.49 tff(f32327,plain,( 15.15/2.49 ( ! [X125 : uni] : (infix_eqeq(int,union(int,empty(int),empty(int)),inter(int,empty(int),X125))) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f6708,f30917])). 15.15/2.49 tff(f6708,plain,( 15.15/2.49 ( ! [X18 : uni,X16 : ty,X17 : uni] : (mem(X16,sK25(X16,X17,inter(X16,empty(X16),X18)),X17) | infix_eqeq(X16,X17,inter(X16,empty(X16),X18))) )), 15.15/2.49 inference(resolution,[],[f1524,f351])). 15.15/2.49 tff(f1524,plain,( 15.15/2.49 ( ! [X18 : uni,X19 : uni,X16 : ty,X17 : uni] : (mem(X16,sK25(X16,X17,inter(X16,X18,X19)),X18) | mem(X16,sK25(X16,X17,inter(X16,X18,X19)),X17) | infix_eqeq(X16,X17,inter(X16,X18,X19))) )), 15.15/2.49 inference(resolution,[],[f378,f421])). 15.15/2.49 tff(f421,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X3,inter(X0,X1,X2)) | mem(X0,X3,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f261])). 15.15/2.49 tff(f32071,plain,( 15.15/2.49 ~spl30_768 | spl30_652), 15.15/2.49 inference(avatar_split_clause,[],[f32039,f26483,f32068])). 15.15/2.49 tff(f32068,plain,( 15.15/2.49 spl30_768 <=> infix_eqeq(int,union(int,t2tb(sK1),t2tb(sK1)),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_768])])). 15.15/2.49 tff(f32039,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,t2tb(sK1),t2tb(sK1)),t2tb(sK8)) | spl30_652), 15.15/2.49 inference(resolution,[],[f30139,f26915])). 15.15/2.49 tff(f30139,plain,( 15.15/2.49 ( ! [X0 : uni] : (~subset(int,X0,t2tb(sK1)) | ~infix_eqeq(int,X0,t2tb(sK8))) ) | spl30_652), 15.15/2.49 inference(resolution,[],[f26541,f3303])). 15.15/2.49 tff(f32062,plain,( 15.15/2.49 ~spl30_755 | ~spl30_179 | ~spl30_511 | spl30_652 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f32026,f26658,f26483,f21494,f5860,f31148])). 15.15/2.49 tff(f31148,plain,( 15.15/2.49 spl30_755 <=> infix_eqeq(int,union(int,empty(int),empty(int)),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_755])])). 15.15/2.49 tff(f32026,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,empty(int),empty(int)),t2tb(sK8)) | (~spl30_179 | ~spl30_511 | spl30_652 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30139,f31037])). 15.15/2.49 tff(f32061,plain,( 15.15/2.49 ~spl30_767 | ~spl30_179 | ~spl30_511 | spl30_652 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f32025,f26658,f26483,f21494,f5860,f32058])). 15.15/2.49 tff(f32058,plain,( 15.15/2.49 spl30_767 <=> infix_eqeq(int,union(int,empty(int),t2tb(sK1)),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_767])])). 15.15/2.49 tff(f32025,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,empty(int),t2tb(sK1)),t2tb(sK8)) | (~spl30_179 | ~spl30_511 | spl30_652 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30139,f30843])). 15.15/2.49 tff(f32014,plain,( 15.15/2.49 ~spl30_766 | spl30_695), 15.15/2.49 inference(avatar_split_clause,[],[f32008,f27649,f32011])). 15.15/2.49 tff(f32011,plain,( 15.15/2.49 spl30_766 <=> t2tb(sK8) = union(int,t2tb(sK2),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_766])])). 15.15/2.49 tff(f27649,plain,( 15.15/2.49 spl30_695 <=> infix_eqeq(int,t2tb(sK8),union(int,t2tb(sK2),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_695])])). 15.15/2.49 tff(f32008,plain,( 15.15/2.49 t2tb(sK8) != union(int,t2tb(sK2),t2tb(sK2)) | spl30_695), 15.15/2.49 inference(constrained_resolution,[],[f27651,f1573])). 15.15/2.49 tff(f1573,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (infix_eqeq(X0,X1,X1)) )), 15.15/2.49 inference(subsumption_resolution,[],[f1570,f378])). 15.15/2.49 tff(f1570,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (~mem(X0,sK25(X0,X1,X1),X1) | infix_eqeq(X0,X1,X1)) )), 15.15/2.49 inference(factoring,[],[f379])). 15.15/2.49 tff(f379,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,sK25(X0,X1,X2),X2) | infix_eqeq(X0,X1,X2) | ~mem(X0,sK25(X0,X1,X2),X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f241])). 15.15/2.49 tff(f27651,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK8),union(int,t2tb(sK2),t2tb(sK2))) | spl30_695), 15.15/2.49 inference(avatar_component_clause,[],[f27649])). 15.15/2.49 tff(f31876,plain,( 15.15/2.49 ~spl30_733 | ~spl30_765 | ~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_734), 15.15/2.49 inference(avatar_split_clause,[],[f31870,f30058,f4452,f4283,f784,f31873,f30054])). 15.15/2.49 tff(f30054,plain,( 15.15/2.49 spl30_733 <=> is_empty(int,union(int,t2tb(sK1),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_733])])). 15.15/2.49 tff(f31873,plain,( 15.15/2.49 spl30_765 <=> sK7 = min_elt1(below1(0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_765])])). 15.15/2.49 tff(f784,plain,( 15.15/2.49 spl30_39 <=> is_empty(int,t2tb(below1(0)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_39])])). 15.15/2.49 tff(f30058,plain,( 15.15/2.49 spl30_734 <=> sK7 = min_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_734])])). 15.15/2.49 tff(f31870,plain,( 15.15/2.49 sK7 != min_elt1(below1(0)) | ~is_empty(int,union(int,t2tb(sK1),t2tb(sK1))) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_734)), 15.15/2.49 inference(superposition,[],[f30060,f5145])). 15.15/2.49 tff(f5145,plain,( 15.15/2.49 ( ! [X55 : uni] : (below1(0) = tb2t(X55) | ~is_empty(int,X55)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(superposition,[],[f309,f4792])). 15.15/2.49 tff(f4792,plain,( 15.15/2.49 ( ! [X0 : uni] : (t2tb(below1(0)) = X0 | ~is_empty(int,X0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(resolution,[],[f4764,f786])). 15.15/2.49 tff(f786,plain,( 15.15/2.49 is_empty(int,t2tb(below1(0))) | ~spl30_39), 15.15/2.49 inference(avatar_component_clause,[],[f784])). 15.15/2.49 tff(f4764,plain,( 15.15/2.49 ( ! [X3 : uni,X4 : uni] : (~is_empty(int,X4) | ~is_empty(int,X3) | X3 = X4) ) | (~spl30_146 | ~spl30_147)), 15.15/2.49 inference(superposition,[],[f4696,f4354])). 15.15/2.49 tff(f4354,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : uni] : (inter(int,X1,X0) = X0 | ~is_empty(int,X0)) ) | ~spl30_146), 15.15/2.49 inference(superposition,[],[f4350,f3275])). 15.15/2.49 tff(f3275,plain,( 15.15/2.49 ( ! [X0 : uni] : (empty(int) = X0 | ~is_empty(int,X0)) )), 15.15/2.49 inference(resolution,[],[f2594,f614])). 15.15/2.49 tff(f614,plain,( 15.15/2.49 ( ! [X0 : uni] : (sort1(set(int),X0)) )), 15.15/2.49 inference(superposition,[],[f316,f314])). 15.15/2.49 tff(f314,plain,( 15.15/2.49 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0) )), 15.15/2.49 inference(cnf_transformation,[],[f102])). 15.15/2.49 tff(f102,plain,( 15.15/2.49 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 15.15/2.49 inference(rectify,[],[f48])). 15.15/2.49 tff(f48,axiom,( 15.15/2.49 ! [X13 : uni] : t2tb(tb2t(X13)) = X13), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR)). 15.15/2.49 tff(f316,plain,( 15.15/2.49 ( ! [X0 : set_int] : (sort1(set(int),t2tb(X0))) )), 15.15/2.49 inference(cnf_transformation,[],[f104])). 15.15/2.49 tff(f104,plain,( 15.15/2.49 ! [X0 : set_int] : sort1(set(int),t2tb(X0))), 15.15/2.49 inference(rectify,[],[f76])). 15.15/2.49 tff(f76,axiom,( 15.15/2.49 ! [X1 : set_int] : sort1(set(int),t2tb(X1))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort)). 15.15/2.49 tff(f2594,plain,( 15.15/2.49 ( ! [X10 : uni,X9 : ty] : (~sort1(set(X9),X10) | empty(X9) = X10 | ~is_empty(X9,X10)) )), 15.15/2.49 inference(subsumption_resolution,[],[f2586,f317])). 15.15/2.49 tff(f2586,plain,( 15.15/2.49 ( ! [X10 : uni,X9 : ty] : (~is_empty(X9,X10) | empty(X9) = X10 | ~sort1(set(X9),empty(X9)) | ~sort1(set(X9),X10)) )), 15.15/2.49 inference(resolution,[],[f2485,f392])). 15.15/2.49 tff(f2485,plain,( 15.15/2.49 ( ! [X2 : uni,X1 : ty] : (infix_eqeq(X1,X2,empty(X1)) | ~is_empty(X1,X2)) )), 15.15/2.49 inference(resolution,[],[f1520,f332])). 15.15/2.49 tff(f4696,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : uni] : (inter(int,X0,X1) = X0 | ~is_empty(int,X0)) ) | ~spl30_147), 15.15/2.49 inference(superposition,[],[f4651,f3275])). 15.15/2.49 tff(f309,plain,( 15.15/2.49 ( ! [X0 : set_int] : (tb2t(t2tb(X0)) = X0) )), 15.15/2.49 inference(cnf_transformation,[],[f97])). 15.15/2.49 tff(f97,plain,( 15.15/2.49 ! [X0 : set_int] : tb2t(t2tb(X0)) = X0), 15.15/2.49 inference(rectify,[],[f5])). 15.15/2.49 tff(f5,axiom,( 15.15/2.49 ! [X5 : set_int] : tb2t(t2tb(X5)) = X5), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL)). 15.15/2.49 tff(f30060,plain,( 15.15/2.49 sK7 != min_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1)))) | spl30_734), 15.15/2.49 inference(avatar_component_clause,[],[f30058])). 15.15/2.49 tff(f31849,plain,( 15.15/2.49 ~spl30_764 | spl30_732), 15.15/2.49 inference(avatar_split_clause,[],[f31830,f29719,f31846])). 15.15/2.49 tff(f31846,plain,( 15.15/2.49 spl30_764 <=> infix_eqeq(int,inter(int,t2tb(sK0),t2tb(sK0)),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_764])])). 15.15/2.49 tff(f29719,plain,( 15.15/2.49 spl30_732 <=> subset(int,inter(int,t2tb(sK0),t2tb(sK0)),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_732])])). 15.15/2.49 tff(f31830,plain,( 15.15/2.49 ~infix_eqeq(int,inter(int,t2tb(sK0),t2tb(sK0)),t2tb(sK2)) | spl30_732), 15.15/2.49 inference(resolution,[],[f29721,f3151])). 15.15/2.49 tff(f29721,plain,( 15.15/2.49 ~subset(int,inter(int,t2tb(sK0),t2tb(sK0)),t2tb(sK2)) | spl30_732), 15.15/2.49 inference(avatar_component_clause,[],[f29719])). 15.15/2.49 tff(f31844,plain,( 15.15/2.49 ~spl30_763 | spl30_732), 15.15/2.49 inference(avatar_split_clause,[],[f31829,f29719,f31841])). 15.15/2.49 tff(f31841,plain,( 15.15/2.49 spl30_763 <=> infix_eqeq(int,t2tb(sK2),inter(int,t2tb(sK0),t2tb(sK0)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_763])])). 15.15/2.49 tff(f31829,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK2),inter(int,t2tb(sK0),t2tb(sK0))) | spl30_732), 15.15/2.49 inference(resolution,[],[f29721,f3303])). 15.15/2.49 tff(f31839,plain,( 15.15/2.49 ~spl30_762 | spl30_732), 15.15/2.49 inference(avatar_split_clause,[],[f31828,f29719,f31836])). 15.15/2.49 tff(f31836,plain,( 15.15/2.49 spl30_762 <=> t2tb(sK2) = inter(int,t2tb(sK0),t2tb(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_762])])). 15.15/2.49 tff(f31828,plain,( 15.15/2.49 t2tb(sK2) != inter(int,t2tb(sK0),t2tb(sK0)) | spl30_732), 15.15/2.49 inference(constrained_resolution,[],[f29721,f327])). 15.15/2.49 tff(f31700,plain,( 15.15/2.49 ~spl30_761 | spl30_140), 15.15/2.49 inference(avatar_split_clause,[],[f31664,f3689,f31697])). 15.15/2.49 tff(f31697,plain,( 15.15/2.49 spl30_761 <=> infix_eqeq(int,t2tb(sK0),union(int,t2tb(sK2),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_761])])). 15.15/2.49 tff(f3689,plain,( 15.15/2.49 spl30_140 <=> subset(int,t2tb(sK0),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_140])])). 15.15/2.49 tff(f31664,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK0),union(int,t2tb(sK2),t2tb(sK2))) | spl30_140), 15.15/2.49 inference(resolution,[],[f29710,f26915])). 15.15/2.49 tff(f29710,plain,( 15.15/2.49 ( ! [X1 : uni] : (~subset(int,X1,t2tb(sK2)) | ~infix_eqeq(int,t2tb(sK0),X1)) ) | spl30_140), 15.15/2.49 inference(resolution,[],[f26996,f3151])). 15.15/2.49 tff(f26996,plain,( 15.15/2.49 ( ! [X0 : uni] : (~subset(int,t2tb(sK0),X0) | ~subset(int,X0,t2tb(sK2))) ) | spl30_140), 15.15/2.49 inference(resolution,[],[f3691,f408])). 15.15/2.49 tff(f3691,plain,( 15.15/2.49 ~subset(int,t2tb(sK0),t2tb(sK2)) | spl30_140), 15.15/2.49 inference(avatar_component_clause,[],[f3689])). 15.15/2.49 tff(f31691,plain,( 15.15/2.49 ~spl30_760 | spl30_140 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31651,f26658,f21494,f5860,f3689,f31688])). 15.15/2.49 tff(f31688,plain,( 15.15/2.49 spl30_760 <=> infix_eqeq(int,t2tb(sK0),union(int,empty(int),empty(int)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_760])])). 15.15/2.49 tff(f31651,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK0),union(int,empty(int),empty(int))) | (spl30_140 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f29710,f31037])). 15.15/2.49 tff(f31686,plain,( 15.15/2.49 ~spl30_759 | spl30_140 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31650,f26658,f21494,f5860,f3689,f31683])). 15.15/2.49 tff(f31683,plain,( 15.15/2.49 spl30_759 <=> infix_eqeq(int,t2tb(sK0),union(int,empty(int),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_759])])). 15.15/2.49 tff(f31650,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK0),union(int,empty(int),t2tb(sK2))) | (spl30_140 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f29710,f30843])). 15.15/2.49 tff(f31496,plain,( 15.15/2.49 ~spl30_758 | spl30_140), 15.15/2.49 inference(avatar_split_clause,[],[f31464,f3689,f31493])). 15.15/2.49 tff(f31493,plain,( 15.15/2.49 spl30_758 <=> infix_eqeq(int,union(int,t2tb(sK2),t2tb(sK2)),t2tb(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_758])])). 15.15/2.49 tff(f31464,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,t2tb(sK2),t2tb(sK2)),t2tb(sK0)) | spl30_140), 15.15/2.49 inference(resolution,[],[f29709,f26915])). 15.15/2.49 tff(f29709,plain,( 15.15/2.49 ( ! [X0 : uni] : (~subset(int,X0,t2tb(sK2)) | ~infix_eqeq(int,X0,t2tb(sK0))) ) | spl30_140), 15.15/2.49 inference(resolution,[],[f26996,f3303])). 15.15/2.49 tff(f31487,plain,( 15.15/2.49 ~spl30_751 | spl30_140 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31451,f26658,f21494,f5860,f3689,f31072])). 15.15/2.49 tff(f31451,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,empty(int),empty(int)),t2tb(sK0)) | (spl30_140 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f29709,f31037])). 15.15/2.49 tff(f31486,plain,( 15.15/2.49 ~spl30_757 | spl30_140 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31450,f26658,f21494,f5860,f3689,f31483])). 15.15/2.49 tff(f31483,plain,( 15.15/2.49 spl30_757 <=> infix_eqeq(int,union(int,empty(int),t2tb(sK2)),t2tb(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_757])])). 15.15/2.49 tff(f31450,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,empty(int),t2tb(sK2)),t2tb(sK0)) | (spl30_140 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f29709,f30843])). 15.15/2.49 tff(f31158,plain,( 15.15/2.49 spl30_756 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31157,f26658,f21494,f5860,f31153])). 15.15/2.49 tff(f31153,plain,( 15.15/2.49 spl30_756 <=> ! [X41 : uni,X40 : uni] : (~mem(int,X40,X41) | ~subset(int,X41,union(int,empty(int),empty(int))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_756])])). 15.15/2.49 tff(f31157,plain,( 15.15/2.49 ( ! [X50 : uni,X51 : uni] : (~mem(int,X50,X51) | ~subset(int,X51,union(int,empty(int),empty(int)))) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(subsumption_resolution,[],[f31132,f613])). 15.15/2.49 tff(f613,plain,( 15.15/2.49 ( ! [X1 : uni] : (sort1(int,X1)) )), 15.15/2.49 inference(superposition,[],[f305,f315])). 15.15/2.49 tff(f305,plain,( 15.15/2.49 ( ! [X0 : $int] : (sort1(int,t2tb1(X0))) )), 15.15/2.49 inference(cnf_transformation,[],[f95])). 15.15/2.49 tff(f95,plain,( 15.15/2.49 ! [X0 : $int] : sort1(int,t2tb1(X0))), 15.15/2.49 inference(rectify,[],[f46])). 15.15/2.49 tff(f46,axiom,( 15.15/2.49 ! [X1 : $int] : sort1(int,t2tb1(X1))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort1)). 15.15/2.49 tff(f31132,plain,( 15.15/2.49 ( ! [X50 : uni,X51 : uni] : (~sort1(int,X50) | ~mem(int,X50,X51) | ~subset(int,X51,union(int,empty(int),empty(int)))) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f31037,f2710])). 15.15/2.49 tff(f2710,plain,( 15.15/2.49 ( ! [X3 : ty,X6 : uni,X7 : uni,X4 : uni,X5 : uni] : (~subset(X3,X6,remove(X3,X4,X7)) | ~sort1(X3,X4) | ~mem(X3,X4,X5) | ~subset(X3,X5,X6)) )), 15.15/2.49 inference(resolution,[],[f1070,f408])). 15.15/2.49 tff(f1070,plain,( 15.15/2.49 ( ! [X10 : uni,X8 : uni,X9 : uni,X7 : ty] : (~subset(X7,X9,remove(X7,X8,X10)) | ~mem(X7,X8,X9) | ~sort1(X7,X8)) )), 15.15/2.49 inference(resolution,[],[f380,f484])). 15.15/2.49 tff(f484,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f427])). 15.15/2.49 tff(f427,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 15.15/2.49 inference(equality_resolution,[],[f406])). 15.15/2.49 tff(f406,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (X1 != X2 | ~mem(X0,X1,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f251])). 15.15/2.49 tff(f251,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,remove(X0,X2,X3)) | X1 = X2 | ~mem(X0,X1,X3)) & ((X1 != X2 & mem(X0,X1,X3)) | ~mem(X0,X1,remove(X0,X2,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 15.15/2.49 inference(flattening,[],[f250])). 15.15/2.49 tff(f250,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,remove(X0,X2,X3)) | (X1 = X2 | ~mem(X0,X1,X3))) & ((X1 != X2 & mem(X0,X1,X3)) | ~mem(X0,X1,remove(X0,X2,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 15.15/2.49 inference(nnf_transformation,[],[f197])). 15.15/2.49 tff(f197,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,remove(X0,X2,X3)) <=> (X1 != X2 & mem(X0,X1,X3))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 15.15/2.49 inference(flattening,[],[f196])). 15.15/2.49 tff(f196,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,remove(X0,X2,X3)) <=> (X1 != X2 & mem(X0,X1,X3))) | ~sort1(X0,X2)) | ~sort1(X0,X1))), 15.15/2.49 inference(ennf_transformation,[],[f149])). 15.15/2.49 tff(f149,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (sort1(X0,X1) => (sort1(X0,X2) => (mem(X0,X1,remove(X0,X2,X3)) <=> (X1 != X2 & mem(X0,X1,X3)))))), 15.15/2.49 inference(rectify,[],[f68])). 15.15/2.49 tff(f68,axiom,( 15.15/2.49 ! [X0 : ty,X1 : uni,X31 : uni,X2 : uni] : (sort1(X0,X1) => (sort1(X0,X31) => (mem(X0,X1,remove(X0,X31,X2)) <=> (X1 != X31 & mem(X0,X1,X2)))))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',remove_def1)). 15.15/2.49 tff(f31156,plain,( 15.15/2.49 spl30_756 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31129,f26658,f21494,f5860,f31153])). 15.15/2.49 tff(f31129,plain,( 15.15/2.49 ( ! [X44 : uni,X45 : uni] : (~subset(int,X44,union(int,empty(int),empty(int))) | ~mem(int,X45,X44)) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f31037,f1107])). 15.15/2.49 tff(f1107,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~subset(X0,X1,empty(X0)) | ~subset(X0,X2,X1) | ~mem(X0,X3,X2)) )), 15.15/2.49 inference(resolution,[],[f408,f1069])). 15.15/2.49 tff(f31155,plain,( 15.15/2.49 spl30_756 | spl30_145 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31127,f26658,f21494,f5860,f4280,f31153])). 15.15/2.49 tff(f4280,plain,( 15.15/2.49 spl30_145 <=> ! [X21 : uni] : ~is_empty(int,X21)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_145])])). 15.15/2.49 tff(f31127,plain,( 15.15/2.49 ( ! [X40 : uni,X41 : uni,X39 : uni] : (~is_empty(int,X39) | ~mem(int,X40,X41) | ~subset(int,X41,union(int,empty(int),empty(int)))) ) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f31037,f2004])). 15.15/2.49 tff(f2004,plain,( 15.15/2.49 ( ! [X3 : ty,X6 : uni,X7 : uni,X4 : uni,X5 : uni] : (~subset(X3,X7,X6) | ~is_empty(X3,X6) | ~mem(X3,X4,X5) | ~subset(X3,X5,X7)) )), 15.15/2.49 inference(resolution,[],[f1068,f408])). 15.15/2.49 tff(f1068,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~subset(X0,X2,X3) | ~mem(X0,X1,X2) | ~is_empty(X0,X3)) )), 15.15/2.49 inference(resolution,[],[f380,f332])). 15.15/2.49 tff(f31151,plain,( 15.15/2.49 ~spl30_755 | spl30_137 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31122,f26658,f21494,f5860,f3676,f31148])). 15.15/2.49 tff(f3676,plain,( 15.15/2.49 spl30_137 <=> subset(int,t2tb(sK8),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_137])])). 15.15/2.49 tff(f31122,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,empty(int),empty(int)),t2tb(sK8)) | (spl30_137 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f31037,f11635])). 15.15/2.49 tff(f11635,plain,( 15.15/2.49 ( ! [X0 : uni] : (~subset(int,X0,t2tb(sK2)) | ~infix_eqeq(int,X0,t2tb(sK8))) ) | spl30_137), 15.15/2.49 inference(resolution,[],[f3722,f3303])). 15.15/2.49 tff(f3722,plain,( 15.15/2.49 ( ! [X0 : uni] : (~subset(int,t2tb(sK8),X0) | ~subset(int,X0,t2tb(sK2))) ) | spl30_137), 15.15/2.49 inference(resolution,[],[f3678,f408])). 15.15/2.49 tff(f3678,plain,( 15.15/2.49 ~subset(int,t2tb(sK8),t2tb(sK2)) | spl30_137), 15.15/2.49 inference(avatar_component_clause,[],[f3676])). 15.15/2.49 tff(f31146,plain,( 15.15/2.49 ~spl30_754 | spl30_137 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31121,f26658,f21494,f5860,f3676,f31143])). 15.15/2.49 tff(f31121,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK8),union(int,empty(int),empty(int))) | (spl30_137 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f31037,f11636])). 15.15/2.49 tff(f11636,plain,( 15.15/2.49 ( ! [X1 : uni] : (~subset(int,X1,t2tb(sK2)) | ~infix_eqeq(int,t2tb(sK8),X1)) ) | spl30_137), 15.15/2.49 inference(resolution,[],[f3722,f3151])). 15.15/2.49 tff(f31086,plain,( 15.15/2.49 spl30_753 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31032,f26658,f21494,f5860,f31083])). 15.15/2.49 tff(f31032,plain,( 15.15/2.49 infix_eqeq(int,union(int,empty(int),empty(int)),empty(int)) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30917,f1520])). 15.15/2.49 tff(f31081,plain,( 15.15/2.49 spl30_752 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31028,f26658,f21494,f5860,f31077])). 15.15/2.49 tff(f31077,plain,( 15.15/2.49 spl30_752 <=> is_empty(int,union(int,union(int,empty(int),empty(int)),empty(int)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_752])])). 15.15/2.49 tff(f31028,plain,( 15.15/2.49 is_empty(int,union(int,union(int,empty(int),empty(int)),empty(int))) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30917,f5731])). 15.15/2.49 tff(f5731,plain,( 15.15/2.49 ( ! [X8 : ty,X9 : uni] : (mem(X8,sK21(X8,union(X8,X9,empty(X8))),X9) | is_empty(X8,union(X8,X9,empty(X8)))) )), 15.15/2.49 inference(resolution,[],[f1268,f351])). 15.15/2.49 tff(f1268,plain,( 15.15/2.49 ( ! [X10 : ty,X11 : uni,X12 : uni] : (mem(X10,sK21(X10,union(X10,X11,X12)),X12) | mem(X10,sK21(X10,union(X10,X11,X12)),X11) | is_empty(X10,union(X10,X11,X12))) )), 15.15/2.49 inference(resolution,[],[f413,f334])). 15.15/2.49 tff(f334,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (mem(X0,sK21(X0,X1),X1) | is_empty(X0,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f221])). 15.15/2.49 tff(f31080,plain,( 15.15/2.49 spl30_752 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31023,f26658,f21494,f5860,f31077])). 15.15/2.49 tff(f31023,plain,( 15.15/2.49 is_empty(int,union(int,union(int,empty(int),empty(int)),empty(int))) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30917,f5774])). 15.15/2.49 tff(f5774,plain,( 15.15/2.49 ( ! [X8 : ty,X9 : uni] : (mem(X8,choose(X8,union(X8,X9,empty(X8))),X9) | is_empty(X8,union(X8,X9,empty(X8)))) )), 15.15/2.49 inference(resolution,[],[f1269,f351])). 15.15/2.49 tff(f1269,plain,( 15.15/2.49 ( ! [X14 : uni,X15 : uni,X13 : ty] : (mem(X13,choose(X13,union(X13,X14,X15)),X15) | mem(X13,choose(X13,union(X13,X14,X15)),X14) | is_empty(X13,union(X13,X14,X15))) )), 15.15/2.49 inference(resolution,[],[f413,f335])). 15.15/2.49 tff(f335,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f166])). 15.15/2.49 tff(f166,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1))), 15.15/2.49 inference(ennf_transformation,[],[f116])). 15.15/2.49 tff(f116,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : (~is_empty(X0,X1) => mem(X0,choose(X0,X1),X1))), 15.15/2.49 inference(rectify,[],[f26])). 15.15/2.49 tff(f26,axiom,( 15.15/2.49 ! [X0 : ty,X2 : uni] : (~is_empty(X0,X2) => mem(X0,choose(X0,X2),X2))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',choose_def)). 15.15/2.49 tff(f31075,plain,( 15.15/2.49 ~spl30_750 | spl30_751 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f31019,f26658,f21494,f5860,f31072,f31068])). 15.15/2.49 tff(f31068,plain,( 15.15/2.49 spl30_750 <=> $less(tb2t1(sK25(int,union(int,empty(int),empty(int)),t2tb(sK0))),0)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_750])])). 15.15/2.49 tff(f31019,plain,( 15.15/2.49 infix_eqeq(int,union(int,empty(int),empty(int)),t2tb(sK0)) | ~$less(tb2t1(sK25(int,union(int,empty(int),empty(int)),t2tb(sK0))),0) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30917,f1534])). 15.15/2.49 tff(f1534,plain,( 15.15/2.49 ( ! [X44 : uni] : (mem(int,sK25(int,X44,t2tb(sK0)),X44) | infix_eqeq(int,X44,t2tb(sK0)) | ~$less(tb2t1(sK25(int,X44,t2tb(sK0))),0)) )), 15.15/2.49 inference(resolution,[],[f378,f627])). 15.15/2.49 tff(f627,plain,( 15.15/2.49 ( ! [X0 : uni] : (~mem(int,X0,t2tb(sK0)) | ~$less(tb2t1(X0),0)) )), 15.15/2.49 inference(superposition,[],[f275,f315])). 15.15/2.49 tff(f275,plain,( 15.15/2.49 ( ! [X22 : $int] : (~mem(int,t2tb1(X22),t2tb(sK0)) | ~$less(X22,0)) )), 15.15/2.49 inference(cnf_transformation,[],[f219])). 15.15/2.49 tff(f30957,plain,( 15.15/2.49 ~spl30_749 | ~spl30_179 | ~spl30_511 | spl30_514 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f30911,f26658,f22457,f21494,f5860,f30954])). 15.15/2.49 tff(f30954,plain,( 15.15/2.49 spl30_749 <=> mem(int,t2tb1(sK14),union(int,empty(int),t2tb(sK8)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_749])])). 15.15/2.49 tff(f22457,plain,( 15.15/2.49 spl30_514 <=> mem(int,t2tb1(sK14),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_514])])). 15.15/2.49 tff(f30911,plain,( 15.15/2.49 ~mem(int,t2tb1(sK14),union(int,empty(int),t2tb(sK8))) | (~spl30_179 | ~spl30_511 | spl30_514 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30843,f22473])). 15.15/2.49 tff(f22473,plain,( 15.15/2.49 ( ! [X2 : uni] : (~subset(int,X2,t2tb(sK8)) | ~mem(int,t2tb1(sK14),X2)) ) | spl30_514), 15.15/2.49 inference(resolution,[],[f22459,f380])). 15.15/2.49 tff(f22459,plain,( 15.15/2.49 ~mem(int,t2tb1(sK14),t2tb(sK8)) | spl30_514), 15.15/2.49 inference(avatar_component_clause,[],[f22457])). 15.15/2.49 tff(f30952,plain,( 15.15/2.49 ~spl30_748 | ~spl30_179 | ~spl30_511 | spl30_586 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f30910,f26658,f24116,f21494,f5860,f30949])). 15.15/2.49 tff(f30949,plain,( 15.15/2.49 spl30_748 <=> mem(int,t2tb1(1),union(int,empty(int),t2tb(sK8)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_748])])). 15.15/2.49 tff(f24116,plain,( 15.15/2.49 spl30_586 <=> mem(int,t2tb1(1),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_586])])). 15.15/2.49 tff(f30910,plain,( 15.15/2.49 ~mem(int,t2tb1(1),union(int,empty(int),t2tb(sK8))) | (~spl30_179 | ~spl30_511 | spl30_586 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30843,f24136])). 15.15/2.49 tff(f24136,plain,( 15.15/2.49 ( ! [X2 : uni] : (~subset(int,X2,t2tb(sK8)) | ~mem(int,t2tb1(1),X2)) ) | spl30_586), 15.15/2.49 inference(resolution,[],[f24118,f380])). 15.15/2.49 tff(f24118,plain,( 15.15/2.49 ~mem(int,t2tb1(1),t2tb(sK8)) | spl30_586), 15.15/2.49 inference(avatar_component_clause,[],[f24116])). 15.15/2.49 tff(f30947,plain,( 15.15/2.49 ~spl30_747 | spl30_137 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f30909,f26658,f21494,f5860,f3676,f30944])). 15.15/2.49 tff(f30944,plain,( 15.15/2.49 spl30_747 <=> infix_eqeq(int,union(int,empty(int),t2tb(sK2)),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_747])])). 15.15/2.49 tff(f30909,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,empty(int),t2tb(sK2)),t2tb(sK8)) | (spl30_137 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30843,f11635])). 15.15/2.49 tff(f30942,plain,( 15.15/2.49 ~spl30_746 | spl30_137 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f30908,f26658,f21494,f5860,f3676,f30939])). 15.15/2.49 tff(f30939,plain,( 15.15/2.49 spl30_746 <=> infix_eqeq(int,t2tb(sK8),union(int,empty(int),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_746])])). 15.15/2.49 tff(f30908,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK8),union(int,empty(int),t2tb(sK2))) | (spl30_137 | ~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30843,f11636])). 15.15/2.49 tff(f30937,plain,( 15.15/2.49 ~spl30_745 | ~spl30_179 | spl30_187 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f30906,f26658,f21494,f6966,f5860,f30934])). 15.15/2.49 tff(f30934,plain,( 15.15/2.49 spl30_745 <=> mem(int,t2tb1(sK5),union(int,empty(int),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_745])])). 15.15/2.49 tff(f6966,plain,( 15.15/2.49 spl30_187 <=> mem(int,t2tb1(sK5),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_187])])). 15.15/2.49 tff(f30906,plain,( 15.15/2.49 ~mem(int,t2tb1(sK5),union(int,empty(int),t2tb(sK1))) | (~spl30_179 | spl30_187 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30843,f7143])). 15.15/2.49 tff(f7143,plain,( 15.15/2.49 ( ! [X3 : uni] : (~subset(int,X3,t2tb(sK1)) | ~mem(int,t2tb1(sK5),X3)) ) | spl30_187), 15.15/2.49 inference(resolution,[],[f6967,f380])). 15.15/2.49 tff(f6967,plain,( 15.15/2.49 ~mem(int,t2tb1(sK5),t2tb(sK1)) | spl30_187), 15.15/2.49 inference(avatar_component_clause,[],[f6966])). 15.15/2.49 tff(f30932,plain,( 15.15/2.49 ~spl30_744 | ~spl30_179 | spl30_193 | ~spl30_398 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f30905,f26658,f21494,f17419,f6990,f5860,f30929])). 15.15/2.49 tff(f30929,plain,( 15.15/2.49 spl30_744 <=> mem(int,t2tb1(sK7),union(int,empty(int),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_744])])). 15.15/2.49 tff(f6990,plain,( 15.15/2.49 spl30_193 <=> mem(int,t2tb1(sK9),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_193])])). 15.15/2.49 tff(f17419,plain,( 15.15/2.49 spl30_398 <=> sK7 = sK9), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_398])])). 15.15/2.49 tff(f30905,plain,( 15.15/2.49 ~mem(int,t2tb1(sK7),union(int,empty(int),t2tb(sK1))) | (~spl30_179 | spl30_193 | ~spl30_398 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(resolution,[],[f30843,f17434])). 15.15/2.49 tff(f17434,plain,( 15.15/2.49 ( ! [X3 : uni] : (~subset(int,X3,t2tb(sK1)) | ~mem(int,t2tb1(sK7),X3)) ) | (spl30_193 | ~spl30_398)), 15.15/2.49 inference(backward_demodulation,[],[f7516,f17421])). 15.15/2.49 tff(f17421,plain,( 15.15/2.49 sK7 = sK9 | ~spl30_398), 15.15/2.49 inference(avatar_component_clause,[],[f17419])). 15.15/2.49 tff(f7516,plain,( 15.15/2.49 ( ! [X3 : uni] : (~subset(int,X3,t2tb(sK1)) | ~mem(int,t2tb1(sK9),X3)) ) | spl30_193), 15.15/2.49 inference(resolution,[],[f6991,f380])). 15.15/2.49 tff(f6991,plain,( 15.15/2.49 ~mem(int,t2tb1(sK9),t2tb(sK1)) | spl30_193), 15.15/2.49 inference(avatar_component_clause,[],[f6990])). 15.15/2.49 tff(f30760,plain,( 15.15/2.49 ~spl30_709 | spl30_699), 15.15/2.49 inference(avatar_split_clause,[],[f30749,f27680,f27866])). 15.15/2.49 tff(f27866,plain,( 15.15/2.49 spl30_709 <=> infix_eqeq(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_709])])). 15.15/2.49 tff(f27680,plain,( 15.15/2.49 spl30_699 <=> subset(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_699])])). 15.15/2.49 tff(f30749,plain,( 15.15/2.49 ~infix_eqeq(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK2)) | spl30_699), 15.15/2.49 inference(resolution,[],[f27682,f3151])). 15.15/2.49 tff(f27682,plain,( 15.15/2.49 ~subset(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK2)) | spl30_699), 15.15/2.49 inference(avatar_component_clause,[],[f27680])). 15.15/2.49 tff(f30759,plain,( 15.15/2.49 ~spl30_710 | spl30_699), 15.15/2.49 inference(avatar_split_clause,[],[f30748,f27680,f27871])). 15.15/2.49 tff(f27871,plain,( 15.15/2.49 spl30_710 <=> infix_eqeq(int,t2tb(sK2),inter(int,t2tb(sK8),t2tb(sK8)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_710])])). 15.15/2.49 tff(f30748,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK2),inter(int,t2tb(sK8),t2tb(sK8))) | spl30_699), 15.15/2.49 inference(resolution,[],[f27682,f3303])). 15.15/2.49 tff(f30758,plain,( 15.15/2.49 ~spl30_743 | spl30_699), 15.15/2.49 inference(avatar_split_clause,[],[f30747,f27680,f30755])). 15.15/2.49 tff(f30755,plain,( 15.15/2.49 spl30_743 <=> t2tb(sK2) = inter(int,t2tb(sK8),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_743])])). 15.15/2.49 tff(f30747,plain,( 15.15/2.49 t2tb(sK2) != inter(int,t2tb(sK8),t2tb(sK8)) | spl30_699), 15.15/2.49 inference(constrained_resolution,[],[f27682,f327])). 15.15/2.49 tff(f30734,plain,( 15.15/2.49 ~spl30_742 | spl30_137 | spl30_698), 15.15/2.49 inference(avatar_split_clause,[],[f30729,f27664,f3676,f30731])). 15.15/2.49 tff(f30731,plain,( 15.15/2.49 spl30_742 <=> sK14 = max_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_742])])). 15.15/2.49 tff(f27664,plain,( 15.15/2.49 spl30_698 <=> mem(int,t2tb1(sK14),union(int,t2tb(sK8),t2tb(sK8)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_698])])). 15.15/2.49 tff(f30729,plain,( 15.15/2.49 sK14 != max_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8)))) | (spl30_137 | spl30_698)), 15.15/2.49 inference(subsumption_resolution,[],[f30710,f11733])). 15.15/2.49 tff(f11733,plain,( 15.15/2.49 ( ! [X5 : uni] : (~is_empty(int,union(int,t2tb(sK8),X5))) ) | spl30_137), 15.15/2.49 inference(resolution,[],[f11639,f906])). 15.15/2.49 tff(f906,plain,( 15.15/2.49 ( ! [X2 : ty,X3 : uni,X4 : uni] : (subset(X2,X3,X4) | ~is_empty(X2,X3)) )), 15.15/2.49 inference(resolution,[],[f382,f332])). 15.15/2.49 tff(f11639,plain,( 15.15/2.49 ( ! [X5 : uni] : (~subset(int,union(int,t2tb(sK8),X5),t2tb(sK2))) ) | spl30_137), 15.15/2.49 inference(resolution,[],[f3722,f3714])). 15.15/2.49 tff(f3714,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni,X5 : uni] : (subset(X3,X4,union(X3,X4,X5))) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f3704])). 15.15/2.49 tff(f3704,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni,X5 : uni] : (subset(X3,X4,union(X3,X4,X5)) | subset(X3,X4,union(X3,X4,X5))) )), 15.15/2.49 inference(resolution,[],[f921,f382])). 15.15/2.49 tff(f921,plain,( 15.15/2.49 ( ! [X6 : uni,X7 : uni,X4 : ty,X5 : uni] : (~mem(X4,sK26(X4,X5,union(X4,X6,X7)),X6) | subset(X4,X5,union(X4,X6,X7))) )), 15.15/2.49 inference(resolution,[],[f414,f383])). 15.15/2.49 tff(f30710,plain,( 15.15/2.49 sK14 != max_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8)))) | is_empty(int,union(int,t2tb(sK8),t2tb(sK8))) | spl30_698), 15.15/2.49 inference(constrained_resolution,[],[f27666,f845])). 15.15/2.49 tff(f845,plain,( 15.15/2.49 ( ! [X0 : uni] : (mem(int,t2tb1(max_elt1(tb2t(X0))),X0) | is_empty(int,X0)) )), 15.15/2.49 inference(superposition,[],[f323,f314])). 15.15/2.49 tff(f323,plain,( 15.15/2.49 ( ! [X0 : set_int] : (mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 15.15/2.49 inference(cnf_transformation,[],[f161])). 15.15/2.49 tff(f161,plain,( 15.15/2.49 ! [X0 : set_int] : (mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0)))), 15.15/2.49 inference(ennf_transformation,[],[f109])). 15.15/2.49 tff(f109,plain,( 15.15/2.49 ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) => mem(int,t2tb1(max_elt1(X0)),t2tb(X0)))), 15.15/2.49 inference(rectify,[],[f50])). 15.15/2.49 tff(f50,axiom,( 15.15/2.49 ! [X2 : set_int] : (~is_empty(int,t2tb(X2)) => mem(int,t2tb1(max_elt1(X2)),t2tb(X2)))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_elt_def1)). 15.15/2.49 tff(f27666,plain,( 15.15/2.49 ~mem(int,t2tb1(sK14),union(int,t2tb(sK8),t2tb(sK8))) | spl30_698), 15.15/2.49 inference(avatar_component_clause,[],[f27664])). 15.15/2.49 tff(f30728,plain,( 15.15/2.49 ~spl30_741 | spl30_137 | spl30_698), 15.15/2.49 inference(avatar_split_clause,[],[f30723,f27664,f3676,f30725])). 15.15/2.49 tff(f30725,plain,( 15.15/2.49 spl30_741 <=> sK14 = min_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_741])])). 15.15/2.49 tff(f30723,plain,( 15.15/2.49 sK14 != min_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8)))) | (spl30_137 | spl30_698)), 15.15/2.49 inference(subsumption_resolution,[],[f30707,f11733])). 15.15/2.49 tff(f30707,plain,( 15.15/2.49 sK14 != min_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8)))) | is_empty(int,union(int,t2tb(sK8),t2tb(sK8))) | spl30_698), 15.15/2.49 inference(constrained_resolution,[],[f27666,f879])). 15.15/2.49 tff(f879,plain,( 15.15/2.49 ( ! [X0 : uni] : (mem(int,t2tb1(min_elt1(tb2t(X0))),X0) | is_empty(int,X0)) )), 15.15/2.49 inference(superposition,[],[f324,f314])). 15.15/2.49 tff(f324,plain,( 15.15/2.49 ( ! [X0 : set_int] : (mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 15.15/2.49 inference(cnf_transformation,[],[f162])). 15.15/2.49 tff(f162,plain,( 15.15/2.49 ! [X0 : set_int] : (mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0)))), 15.15/2.49 inference(ennf_transformation,[],[f110])). 15.15/2.49 tff(f110,plain,( 15.15/2.49 ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) => mem(int,t2tb1(min_elt1(X0)),t2tb(X0)))), 15.15/2.49 inference(rectify,[],[f25])). 15.15/2.49 tff(f25,axiom,( 15.15/2.49 ! [X2 : set_int] : (~is_empty(int,t2tb(X2)) => mem(int,t2tb1(min_elt1(X2)),t2tb(X2)))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_elt_def1)). 15.15/2.49 tff(f30668,plain,( 15.15/2.49 ~spl30_740 | spl30_137 | spl30_697), 15.15/2.49 inference(avatar_split_clause,[],[f30663,f27659,f3676,f30665])). 15.15/2.49 tff(f30665,plain,( 15.15/2.49 spl30_740 <=> 1 = max_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_740])])). 15.15/2.49 tff(f27659,plain,( 15.15/2.49 spl30_697 <=> mem(int,t2tb1(1),union(int,t2tb(sK8),t2tb(sK8)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_697])])). 15.15/2.49 tff(f30663,plain,( 15.15/2.49 1 != max_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8)))) | (spl30_137 | spl30_697)), 15.15/2.49 inference(subsumption_resolution,[],[f30644,f11733])). 15.15/2.49 tff(f30644,plain,( 15.15/2.49 1 != max_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8)))) | is_empty(int,union(int,t2tb(sK8),t2tb(sK8))) | spl30_697), 15.15/2.49 inference(constrained_resolution,[],[f27661,f845])). 15.15/2.49 tff(f27661,plain,( 15.15/2.49 ~mem(int,t2tb1(1),union(int,t2tb(sK8),t2tb(sK8))) | spl30_697), 15.15/2.49 inference(avatar_component_clause,[],[f27659])). 15.15/2.49 tff(f30662,plain,( 15.15/2.49 ~spl30_739 | spl30_137 | spl30_697), 15.15/2.49 inference(avatar_split_clause,[],[f30657,f27659,f3676,f30659])). 15.15/2.49 tff(f30659,plain,( 15.15/2.49 spl30_739 <=> 1 = min_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_739])])). 15.15/2.49 tff(f30657,plain,( 15.15/2.49 1 != min_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8)))) | (spl30_137 | spl30_697)), 15.15/2.49 inference(subsumption_resolution,[],[f30641,f11733])). 15.15/2.49 tff(f30641,plain,( 15.15/2.49 1 != min_elt1(tb2t(union(int,t2tb(sK8),t2tb(sK8)))) | is_empty(int,union(int,t2tb(sK8),t2tb(sK8))) | spl30_697), 15.15/2.49 inference(constrained_resolution,[],[f27661,f879])). 15.15/2.49 tff(f30380,plain,( 15.15/2.49 ~spl30_738 | spl30_654), 15.15/2.49 inference(avatar_split_clause,[],[f30374,f26495,f30377])). 15.15/2.49 tff(f30377,plain,( 15.15/2.49 spl30_738 <=> subset(int,inter(int,t2tb(sK0),t2tb(sK0)),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_738])])). 15.15/2.49 tff(f30374,plain,( 15.15/2.49 ~subset(int,inter(int,t2tb(sK0),t2tb(sK0)),t2tb(sK1)) | spl30_654), 15.15/2.49 inference(resolution,[],[f26569,f26954])). 15.15/2.49 tff(f26954,plain,( 15.15/2.49 ( ! [X4 : ty,X5 : uni] : (subset(X4,X5,inter(X4,X5,X5))) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f26923])). 15.15/2.49 tff(f26923,plain,( 15.15/2.49 ( ! [X4 : ty,X5 : uni] : (subset(X4,X5,inter(X4,X5,X5)) | subset(X4,X5,inter(X4,X5,X5))) )), 15.15/2.49 inference(resolution,[],[f6682,f382])). 15.15/2.49 tff(f6682,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,sK26(X0,X1,inter(X0,X2,X2)),X2) | subset(X0,X1,inter(X0,X2,X2))) )), 15.15/2.49 inference(factoring,[],[f1285])). 15.15/2.49 tff(f1285,plain,( 15.15/2.49 ( ! [X14 : uni,X15 : uni,X12 : ty,X13 : uni] : (~mem(X12,sK26(X12,X13,inter(X12,X14,X15)),X15) | ~mem(X12,sK26(X12,X13,inter(X12,X14,X15)),X14) | subset(X12,X13,inter(X12,X14,X15))) )), 15.15/2.49 inference(resolution,[],[f419,f383])). 15.15/2.49 tff(f419,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X3,inter(X0,X1,X2)) | ~mem(X0,X3,X1) | ~mem(X0,X3,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f261])). 15.15/2.49 tff(f30157,plain,( 15.15/2.49 ~spl30_737 | spl30_652), 15.15/2.49 inference(avatar_split_clause,[],[f30146,f26483,f30154])). 15.15/2.49 tff(f30146,plain,( 15.15/2.49 ~subset(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK1)) | spl30_652), 15.15/2.49 inference(resolution,[],[f26541,f26954])). 15.15/2.49 tff(f30151,plain,( 15.15/2.49 ~spl30_736 | ~spl30_6 | spl30_652), 15.15/2.49 inference(avatar_split_clause,[],[f30137,f26483,f514,f30148])). 15.15/2.49 tff(f30148,plain,( 15.15/2.49 spl30_736 <=> subset(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_736])])). 15.15/2.49 tff(f514,plain,( 15.15/2.49 spl30_6 <=> subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_6])])). 15.15/2.49 tff(f30137,plain,( 15.15/2.49 ~subset(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK1)) | (~spl30_6 | spl30_652)), 15.15/2.49 inference(resolution,[],[f26541,f516])). 15.15/2.49 tff(f516,plain,( 15.15/2.49 subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~spl30_6), 15.15/2.49 inference(avatar_component_clause,[],[f514])). 15.15/2.49 tff(f30066,plain,( 15.15/2.49 spl30_733 | ~spl30_735 | spl30_693), 15.15/2.49 inference(avatar_split_clause,[],[f30040,f27639,f30063,f30054])). 15.15/2.49 tff(f30063,plain,( 15.15/2.49 spl30_735 <=> sK7 = max_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_735])])). 15.15/2.49 tff(f27639,plain,( 15.15/2.49 spl30_693 <=> mem(int,t2tb1(sK7),union(int,t2tb(sK1),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_693])])). 15.15/2.49 tff(f30040,plain,( 15.15/2.49 sK7 != max_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1)))) | is_empty(int,union(int,t2tb(sK1),t2tb(sK1))) | spl30_693), 15.15/2.49 inference(constrained_resolution,[],[f27641,f845])). 15.15/2.49 tff(f27641,plain,( 15.15/2.49 ~mem(int,t2tb1(sK7),union(int,t2tb(sK1),t2tb(sK1))) | spl30_693), 15.15/2.49 inference(avatar_component_clause,[],[f27639])). 15.15/2.49 tff(f30061,plain,( 15.15/2.49 spl30_733 | ~spl30_734 | spl30_693), 15.15/2.49 inference(avatar_split_clause,[],[f30037,f27639,f30058,f30054])). 15.15/2.49 tff(f30037,plain,( 15.15/2.49 sK7 != min_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1)))) | is_empty(int,union(int,t2tb(sK1),t2tb(sK1))) | spl30_693), 15.15/2.49 inference(constrained_resolution,[],[f27641,f879])). 15.15/2.49 tff(f29722,plain,( 15.15/2.49 ~spl30_732 | spl30_140), 15.15/2.49 inference(avatar_split_clause,[],[f29716,f3689,f29719])). 15.15/2.49 tff(f29716,plain,( 15.15/2.49 ~subset(int,inter(int,t2tb(sK0),t2tb(sK0)),t2tb(sK2)) | spl30_140), 15.15/2.49 inference(resolution,[],[f26996,f26954])). 15.15/2.49 tff(f29644,plain,( 15.15/2.49 ~spl30_731 | spl30_655), 15.15/2.49 inference(avatar_split_clause,[],[f29624,f26504,f29641])). 15.15/2.49 tff(f29641,plain,( 15.15/2.49 spl30_731 <=> infix_eqeq(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_731])])). 15.15/2.49 tff(f26504,plain,( 15.15/2.49 spl30_655 <=> subset(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_655])])). 15.15/2.49 tff(f29624,plain,( 15.15/2.49 ~infix_eqeq(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK1)) | spl30_655), 15.15/2.49 inference(resolution,[],[f26506,f3151])). 15.15/2.49 tff(f26506,plain,( 15.15/2.49 ~subset(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK1)) | spl30_655), 15.15/2.49 inference(avatar_component_clause,[],[f26504])). 15.15/2.49 tff(f29639,plain,( 15.15/2.49 ~spl30_730 | spl30_655), 15.15/2.49 inference(avatar_split_clause,[],[f29623,f26504,f29636])). 15.15/2.49 tff(f29636,plain,( 15.15/2.49 spl30_730 <=> infix_eqeq(int,t2tb(sK1),diff(int,t2tb(sK0),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_730])])). 15.15/2.49 tff(f29623,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK1),diff(int,t2tb(sK0),t2tb(sK1))) | spl30_655), 15.15/2.49 inference(resolution,[],[f26506,f3303])). 15.15/2.49 tff(f29634,plain,( 15.15/2.49 ~spl30_729 | spl30_655), 15.15/2.49 inference(avatar_split_clause,[],[f29622,f26504,f29631])). 15.15/2.49 tff(f29631,plain,( 15.15/2.49 spl30_729 <=> t2tb(sK1) = diff(int,t2tb(sK0),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_729])])). 15.15/2.49 tff(f29622,plain,( 15.15/2.49 t2tb(sK1) != diff(int,t2tb(sK0),t2tb(sK1)) | spl30_655), 15.15/2.49 inference(constrained_resolution,[],[f26506,f327])). 15.15/2.49 tff(f29596,plain,( 15.15/2.49 ~spl30_728 | ~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_343 | spl30_694), 15.15/2.49 inference(avatar_split_clause,[],[f29591,f27644,f16006,f4452,f4283,f784,f29593])). 15.15/2.49 tff(f29593,plain,( 15.15/2.49 spl30_728 <=> sK5 = max_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_728])])). 15.15/2.49 tff(f16006,plain,( 15.15/2.49 spl30_343 <=> sK5 = max_elt1(below1(0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_343])])). 15.15/2.49 tff(f27644,plain,( 15.15/2.49 spl30_694 <=> mem(int,t2tb1(sK5),union(int,t2tb(sK1),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_694])])). 15.15/2.49 tff(f29591,plain,( 15.15/2.49 sK5 != max_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1)))) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_343 | spl30_694)), 15.15/2.49 inference(subsumption_resolution,[],[f29572,f16014])). 15.15/2.49 tff(f16014,plain,( 15.15/2.49 ( ! [X1 : uni] : (sK5 != max_elt1(tb2t(X1)) | ~is_empty(int,X1)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_343)), 15.15/2.49 inference(superposition,[],[f16008,f5145])). 15.15/2.49 tff(f16008,plain,( 15.15/2.49 sK5 != max_elt1(below1(0)) | spl30_343), 15.15/2.49 inference(avatar_component_clause,[],[f16006])). 15.15/2.49 tff(f29572,plain,( 15.15/2.49 sK5 != max_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1)))) | is_empty(int,union(int,t2tb(sK1),t2tb(sK1))) | spl30_694), 15.15/2.49 inference(constrained_resolution,[],[f27646,f845])). 15.15/2.49 tff(f27646,plain,( 15.15/2.49 ~mem(int,t2tb1(sK5),union(int,t2tb(sK1),t2tb(sK1))) | spl30_694), 15.15/2.49 inference(avatar_component_clause,[],[f27644])). 15.15/2.49 tff(f29590,plain,( 15.15/2.49 ~spl30_727 | ~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_367 | spl30_694), 15.15/2.49 inference(avatar_split_clause,[],[f29585,f27644,f16422,f4452,f4283,f784,f29587])). 15.15/2.49 tff(f29587,plain,( 15.15/2.49 spl30_727 <=> sK5 = min_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_727])])). 15.15/2.49 tff(f16422,plain,( 15.15/2.49 spl30_367 <=> sK5 = min_elt1(below1(0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_367])])). 15.15/2.49 tff(f29585,plain,( 15.15/2.49 sK5 != min_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1)))) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_367 | spl30_694)), 15.15/2.49 inference(subsumption_resolution,[],[f29569,f16427])). 15.15/2.49 tff(f16427,plain,( 15.15/2.49 ( ! [X1 : uni] : (sK5 != min_elt1(tb2t(X1)) | ~is_empty(int,X1)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_367)), 15.15/2.49 inference(superposition,[],[f16424,f5145])). 15.15/2.49 tff(f16424,plain,( 15.15/2.49 sK5 != min_elt1(below1(0)) | spl30_367), 15.15/2.49 inference(avatar_component_clause,[],[f16422])). 15.15/2.49 tff(f29569,plain,( 15.15/2.49 sK5 != min_elt1(tb2t(union(int,t2tb(sK1),t2tb(sK1)))) | is_empty(int,union(int,t2tb(sK1),t2tb(sK1))) | spl30_694), 15.15/2.49 inference(constrained_resolution,[],[f27646,f879])). 15.15/2.49 tff(f28874,plain,( 15.15/2.49 spl30_231 | spl30_726 | spl30_125), 15.15/2.49 inference(avatar_split_clause,[],[f28829,f3420,f28872,f7307])). 15.15/2.49 tff(f7307,plain,( 15.15/2.49 spl30_231 <=> $less(min_elt1(sK8),1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_231])])). 15.15/2.49 tff(f28872,plain,( 15.15/2.49 spl30_726 <=> ! [X28 : uni] : (~mem(int,t2tb1($sum(min_elt1(sK8),-1)),X28) | ~subset(int,t2tb(succ1(tb2t(X28))),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_726])])). 15.15/2.49 tff(f3420,plain,( 15.15/2.49 spl30_125 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_125])])). 15.15/2.49 tff(f28829,plain,( 15.15/2.49 ( ! [X28 : uni] : (~mem(int,t2tb1($sum(min_elt1(sK8),-1)),X28) | $less(min_elt1(sK8),1) | ~subset(int,t2tb(succ1(tb2t(X28))),t2tb(sK2))) ) | spl30_125), 15.15/2.49 inference(resolution,[],[f4149,f3479])). 15.15/2.49 tff(f3479,plain,( 15.15/2.49 ( ! [X1 : uni] : (~mem(int,t2tb1(min_elt1(sK8)),X1) | ~subset(int,X1,t2tb(sK2))) ) | spl30_125), 15.15/2.49 inference(resolution,[],[f3422,f380])). 15.15/2.49 tff(f3422,plain,( 15.15/2.49 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2)) | spl30_125), 15.15/2.49 inference(avatar_component_clause,[],[f3420])). 15.15/2.49 tff(f4149,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : $int] : (mem(int,t2tb1(X1),t2tb(succ1(tb2t(X0)))) | ~mem(int,t2tb1($sum(X1,-1)),X0) | $less(X1,1)) )), 15.15/2.49 inference(superposition,[],[f1707,f314])). 15.15/2.49 tff(f1707,plain,( 15.15/2.49 ( ! [X0 : $int,X1 : set_int] : (~mem(int,t2tb1($sum(X0,-1)),t2tb(X1)) | mem(int,t2tb1(X0),t2tb(succ1(X1))) | $less(X0,1)) )), 15.15/2.49 inference(equality_resolution,[],[f487])). 15.15/2.49 tff(f487,plain,( 15.15/2.49 ( ! [X2 : $int,X0 : set_int,X1 : $int] : ($sum(X1,-1) != X2 | mem(int,t2tb1(X1),t2tb(succ1(X0))) | ~mem(int,t2tb1(X2),t2tb(X0)) | $less(X1,1)) )), 15.15/2.49 inference(evaluation,[],[f469])). 15.15/2.49 tff(f469,plain,( 15.15/2.49 ( ! [X2 : $int,X0 : set_int,X1 : $int] : (mem(int,t2tb1(X1),t2tb(succ1(X0))) | $sum(X1,$uminus(1)) != X2 | ~mem(int,t2tb1(X2),t2tb(X0)) | $less(X1,1)) )), 15.15/2.49 inference(theory_flattening,[],[f352])). 15.15/2.49 tff(f352,plain,( 15.15/2.49 ( ! [X0 : set_int,X1 : $int] : (mem(int,t2tb1(X1),t2tb(succ1(X0))) | ~mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) | $less(X1,1)) )), 15.15/2.49 inference(cnf_transformation,[],[f229])). 15.15/2.49 tff(f229,plain,( 15.15/2.49 ! [X0 : set_int,X1 : $int] : (((mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) & ~$less(X1,1)) | ~mem(int,t2tb1(X1),t2tb(succ1(X0)))) & (mem(int,t2tb1(X1),t2tb(succ1(X0))) | ~mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) | $less(X1,1)))), 15.15/2.49 inference(flattening,[],[f228])). 15.15/2.49 tff(f228,plain,( 15.15/2.49 ! [X0 : set_int,X1 : $int] : (((mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) & ~$less(X1,1)) | ~mem(int,t2tb1(X1),t2tb(succ1(X0)))) & (mem(int,t2tb1(X1),t2tb(succ1(X0))) | (~mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) | $less(X1,1))))), 15.15/2.49 inference(nnf_transformation,[],[f124])). 15.15/2.49 tff(f124,plain,( 15.15/2.49 ! [X0 : set_int,X1 : $int] : ((mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) & ~$less(X1,1)) <=> mem(int,t2tb1(X1),t2tb(succ1(X0))))), 15.15/2.49 inference(rectify,[],[f84])). 15.15/2.49 tff(f84,plain,( 15.15/2.49 ! [X2 : set_int,X5 : $int] : ((mem(int,t2tb1($sum(X5,$uminus(1))),t2tb(X2)) & ~$less(X5,1)) <=> mem(int,t2tb1(X5),t2tb(succ1(X2))))), 15.15/2.49 inference(theory_normalization,[],[f42])). 15.15/2.49 tff(f42,axiom,( 15.15/2.49 ! [X2 : set_int,X5 : $int] : ((mem(int,t2tb1($difference(X5,1)),t2tb(X2)) & $lesseq(1,X5)) <=> mem(int,t2tb1(X5),t2tb(succ1(X2))))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_def)). 15.15/2.49 tff(f28870,plain,( 15.15/2.49 spl30_231 | spl30_725 | spl30_125), 15.15/2.49 inference(avatar_split_clause,[],[f28828,f3420,f28868,f7307])). 15.15/2.49 tff(f28868,plain,( 15.15/2.49 spl30_725 <=> ! [X27 : uni] : (~mem(int,t2tb1($sum(min_elt1(sK8),-1)),X27) | ~infix_eqeq(int,t2tb(sK2),t2tb(succ1(tb2t(X27)))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_725])])). 15.15/2.49 tff(f28828,plain,( 15.15/2.49 ( ! [X27 : uni] : (~mem(int,t2tb1($sum(min_elt1(sK8),-1)),X27) | $less(min_elt1(sK8),1) | ~infix_eqeq(int,t2tb(sK2),t2tb(succ1(tb2t(X27))))) ) | spl30_125), 15.15/2.49 inference(resolution,[],[f4149,f3480])). 15.15/2.49 tff(f3480,plain,( 15.15/2.49 ( ! [X2 : uni] : (~mem(int,t2tb1(min_elt1(sK8)),X2) | ~infix_eqeq(int,t2tb(sK2),X2)) ) | spl30_125), 15.15/2.49 inference(resolution,[],[f3422,f376])). 15.15/2.49 tff(f28866,plain,( 15.15/2.49 spl30_231 | spl30_724 | spl30_125), 15.15/2.49 inference(avatar_split_clause,[],[f28827,f3420,f28864,f7307])). 15.15/2.49 tff(f28864,plain,( 15.15/2.49 spl30_724 <=> ! [X26 : uni] : (~mem(int,t2tb1($sum(min_elt1(sK8),-1)),X26) | ~infix_eqeq(int,t2tb(succ1(tb2t(X26))),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_724])])). 15.15/2.49 tff(f28827,plain,( 15.15/2.49 ( ! [X26 : uni] : (~mem(int,t2tb1($sum(min_elt1(sK8),-1)),X26) | $less(min_elt1(sK8),1) | ~infix_eqeq(int,t2tb(succ1(tb2t(X26))),t2tb(sK2))) ) | spl30_125), 15.15/2.49 inference(resolution,[],[f4149,f3481])). 15.15/2.49 tff(f3481,plain,( 15.15/2.49 ( ! [X3 : uni] : (~mem(int,t2tb1(min_elt1(sK8)),X3) | ~infix_eqeq(int,X3,t2tb(sK2))) ) | spl30_125), 15.15/2.49 inference(resolution,[],[f3422,f375])). 15.15/2.49 tff(f28862,plain,( 15.15/2.49 spl30_609 | spl30_723 | spl30_124), 15.15/2.49 inference(avatar_split_clause,[],[f28826,f3414,f28860,f25772])). 15.15/2.49 tff(f25772,plain,( 15.15/2.49 spl30_609 <=> $less(max_elt1(sK8),1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_609])])). 15.15/2.49 tff(f28860,plain,( 15.15/2.49 spl30_723 <=> ! [X25 : uni] : (~mem(int,t2tb1($sum(max_elt1(sK8),-1)),X25) | ~subset(int,t2tb(succ1(tb2t(X25))),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_723])])). 15.15/2.49 tff(f3414,plain,( 15.15/2.49 spl30_124 <=> mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_124])])). 15.15/2.49 tff(f28826,plain,( 15.15/2.49 ( ! [X25 : uni] : (~mem(int,t2tb1($sum(max_elt1(sK8),-1)),X25) | $less(max_elt1(sK8),1) | ~subset(int,t2tb(succ1(tb2t(X25))),t2tb(sK2))) ) | spl30_124), 15.15/2.49 inference(resolution,[],[f4149,f3469])). 15.15/2.49 tff(f3469,plain,( 15.15/2.49 ( ! [X1 : uni] : (~mem(int,t2tb1(max_elt1(sK8)),X1) | ~subset(int,X1,t2tb(sK2))) ) | spl30_124), 15.15/2.49 inference(resolution,[],[f3416,f380])). 15.15/2.49 tff(f3416,plain,( 15.15/2.49 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2)) | spl30_124), 15.15/2.49 inference(avatar_component_clause,[],[f3414])). 15.15/2.49 tff(f28858,plain,( 15.15/2.49 spl30_609 | spl30_722 | spl30_124), 15.15/2.49 inference(avatar_split_clause,[],[f28825,f3414,f28856,f25772])). 15.15/2.49 tff(f28856,plain,( 15.15/2.49 spl30_722 <=> ! [X24 : uni] : (~mem(int,t2tb1($sum(max_elt1(sK8),-1)),X24) | ~infix_eqeq(int,t2tb(sK2),t2tb(succ1(tb2t(X24)))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_722])])). 15.15/2.49 tff(f28825,plain,( 15.15/2.49 ( ! [X24 : uni] : (~mem(int,t2tb1($sum(max_elt1(sK8),-1)),X24) | $less(max_elt1(sK8),1) | ~infix_eqeq(int,t2tb(sK2),t2tb(succ1(tb2t(X24))))) ) | spl30_124), 15.15/2.49 inference(resolution,[],[f4149,f3470])). 15.15/2.49 tff(f3470,plain,( 15.15/2.49 ( ! [X2 : uni] : (~mem(int,t2tb1(max_elt1(sK8)),X2) | ~infix_eqeq(int,t2tb(sK2),X2)) ) | spl30_124), 15.15/2.49 inference(resolution,[],[f3416,f376])). 15.15/2.49 tff(f28854,plain,( 15.15/2.49 spl30_609 | spl30_721 | spl30_124), 15.15/2.49 inference(avatar_split_clause,[],[f28824,f3414,f28852,f25772])). 15.15/2.49 tff(f28852,plain,( 15.15/2.49 spl30_721 <=> ! [X23 : uni] : (~mem(int,t2tb1($sum(max_elt1(sK8),-1)),X23) | ~infix_eqeq(int,t2tb(succ1(tb2t(X23))),t2tb(sK2)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_721])])). 15.15/2.49 tff(f28824,plain,( 15.15/2.49 ( ! [X23 : uni] : (~mem(int,t2tb1($sum(max_elt1(sK8),-1)),X23) | $less(max_elt1(sK8),1) | ~infix_eqeq(int,t2tb(succ1(tb2t(X23))),t2tb(sK2))) ) | spl30_124), 15.15/2.49 inference(resolution,[],[f4149,f3471])). 15.15/2.49 tff(f3471,plain,( 15.15/2.49 ( ! [X3 : uni] : (~mem(int,t2tb1(max_elt1(sK8)),X3) | ~infix_eqeq(int,X3,t2tb(sK2))) ) | spl30_124), 15.15/2.49 inference(resolution,[],[f3416,f375])). 15.15/2.49 tff(f28850,plain,( 15.15/2.49 spl30_609 | spl30_720 | spl30_410), 15.15/2.49 inference(avatar_split_clause,[],[f28823,f17672,f28848,f25772])). 15.15/2.49 tff(f28848,plain,( 15.15/2.49 spl30_720 <=> ! [X22 : uni] : (~mem(int,t2tb1($sum(max_elt1(sK8),-1)),X22) | ~subset(int,t2tb(succ1(tb2t(X22))),t2tb(sK1)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_720])])). 15.15/2.49 tff(f17672,plain,( 15.15/2.49 spl30_410 <=> mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_410])])). 15.15/2.49 tff(f28823,plain,( 15.15/2.49 ( ! [X22 : uni] : (~mem(int,t2tb1($sum(max_elt1(sK8),-1)),X22) | $less(max_elt1(sK8),1) | ~subset(int,t2tb(succ1(tb2t(X22))),t2tb(sK1))) ) | spl30_410), 15.15/2.49 inference(resolution,[],[f4149,f17725])). 15.15/2.49 tff(f17725,plain,( 15.15/2.49 ( ! [X3 : uni] : (~mem(int,t2tb1(max_elt1(sK8)),X3) | ~subset(int,X3,t2tb(sK1))) ) | spl30_410), 15.15/2.49 inference(resolution,[],[f17674,f380])). 15.15/2.49 tff(f17674,plain,( 15.15/2.49 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1)) | spl30_410), 15.15/2.49 inference(avatar_component_clause,[],[f17672])). 15.15/2.49 tff(f28545,plain,( 15.15/2.49 ~spl30_718 | spl30_105 | ~spl30_715), 15.15/2.49 inference(avatar_split_clause,[],[f28532,f28318,f2241,f28335])). 15.15/2.49 tff(f28335,plain,( 15.15/2.49 spl30_718 <=> sK5 = tb2t1(sK21(int,empty(int)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_718])])). 15.15/2.49 tff(f2241,plain,( 15.15/2.49 spl30_105 <=> $less(sK5,n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_105])])). 15.15/2.49 tff(f28318,plain,( 15.15/2.49 spl30_715 <=> $less(tb2t1(sK21(int,empty(int))),n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_715])])). 15.15/2.49 tff(f28532,plain,( 15.15/2.49 sK5 != tb2t1(sK21(int,empty(int))) | (spl30_105 | ~spl30_715)), 15.15/2.49 inference(constrained_resolution,[],[f28320,f2243])). 15.15/2.49 tff(f2243,plain,( 15.15/2.49 ~$less(sK5,n1) | spl30_105), 15.15/2.49 inference(avatar_component_clause,[],[f2241])). 15.15/2.49 tff(f28320,plain,( 15.15/2.49 $less(tb2t1(sK21(int,empty(int))),n1) | ~spl30_715), 15.15/2.49 inference(avatar_component_clause,[],[f28318])). 15.15/2.49 tff(f28531,plain,( 15.15/2.49 ~spl30_716 | spl30_105 | ~spl30_714), 15.15/2.49 inference(avatar_split_clause,[],[f28521,f28312,f2241,f28324])). 15.15/2.49 tff(f28324,plain,( 15.15/2.49 spl30_716 <=> sK5 = tb2t1(choose(int,empty(int)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_716])])). 15.15/2.49 tff(f28312,plain,( 15.15/2.49 spl30_714 <=> $less(tb2t1(choose(int,empty(int))),n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_714])])). 15.15/2.49 tff(f28521,plain,( 15.15/2.49 sK5 != tb2t1(choose(int,empty(int))) | (spl30_105 | ~spl30_714)), 15.15/2.49 inference(constrained_resolution,[],[f28314,f2243])). 15.15/2.49 tff(f28314,plain,( 15.15/2.49 $less(tb2t1(choose(int,empty(int))),n1) | ~spl30_714), 15.15/2.49 inference(avatar_component_clause,[],[f28312])). 15.15/2.49 tff(f28344,plain,( 15.15/2.49 spl30_719 | ~spl30_179 | ~spl30_511 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28339,f26658,f21494,f5860,f28341])). 15.15/2.49 tff(f28341,plain,( 15.15/2.49 spl30_719 <=> is_empty(int,union(int,empty(int),empty(int)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_719])])). 15.15/2.49 tff(f28339,plain,( 15.15/2.49 is_empty(int,union(int,empty(int),empty(int))) | (~spl30_179 | ~spl30_511 | ~spl30_662)), 15.15/2.49 inference(forward_demodulation,[],[f28265,f5862])). 15.15/2.49 tff(f28265,plain,( 15.15/2.49 is_empty(int,union(int,t2tb(below1(0)),empty(int))) | (~spl30_511 | ~spl30_662)), 15.15/2.49 inference(backward_demodulation,[],[f26660,f21496])). 15.15/2.49 tff(f28338,plain,( 15.15/2.49 ~spl30_718 | ~spl30_179 | ~spl30_511 | spl30_578), 15.15/2.49 inference(avatar_split_clause,[],[f28333,f24043,f21494,f5860,f28335])). 15.15/2.49 tff(f24043,plain,( 15.15/2.49 spl30_578 <=> sK5 = tb2t1(sK21(int,t2tb(pred1(succ1(sK0)))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_578])])). 15.15/2.49 tff(f28333,plain,( 15.15/2.49 sK5 != tb2t1(sK21(int,empty(int))) | (~spl30_179 | ~spl30_511 | spl30_578)), 15.15/2.49 inference(forward_demodulation,[],[f28264,f5862])). 15.15/2.49 tff(f28264,plain,( 15.15/2.49 sK5 != tb2t1(sK21(int,t2tb(below1(0)))) | (~spl30_511 | spl30_578)), 15.15/2.49 inference(backward_demodulation,[],[f24045,f21496])). 15.15/2.49 tff(f24045,plain,( 15.15/2.49 sK5 != tb2t1(sK21(int,t2tb(pred1(succ1(sK0))))) | spl30_578), 15.15/2.49 inference(avatar_component_clause,[],[f24043])). 15.15/2.49 tff(f28332,plain,( 15.15/2.49 ~spl30_717 | ~spl30_511 | spl30_576), 15.15/2.49 inference(avatar_split_clause,[],[f28263,f23925,f21494,f28329])). 15.15/2.49 tff(f28329,plain,( 15.15/2.49 spl30_717 <=> below1(0) = below1(1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_717])])). 15.15/2.49 tff(f23925,plain,( 15.15/2.49 spl30_576 <=> below1(1) = pred1(succ1(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_576])])). 15.15/2.49 tff(f28263,plain,( 15.15/2.49 below1(0) != below1(1) | (~spl30_511 | spl30_576)), 15.15/2.49 inference(backward_demodulation,[],[f23927,f21496])). 15.15/2.49 tff(f23927,plain,( 15.15/2.49 below1(1) != pred1(succ1(sK0)) | spl30_576), 15.15/2.49 inference(avatar_component_clause,[],[f23925])). 15.15/2.49 tff(f28327,plain,( 15.15/2.49 ~spl30_716 | ~spl30_179 | ~spl30_511 | spl30_575), 15.15/2.49 inference(avatar_split_clause,[],[f28322,f23920,f21494,f5860,f28324])). 15.15/2.49 tff(f23920,plain,( 15.15/2.49 spl30_575 <=> sK5 = tb2t1(choose(int,t2tb(pred1(succ1(sK0)))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_575])])). 15.15/2.49 tff(f28322,plain,( 15.15/2.49 sK5 != tb2t1(choose(int,empty(int))) | (~spl30_179 | ~spl30_511 | spl30_575)), 15.15/2.49 inference(forward_demodulation,[],[f28262,f5862])). 15.15/2.49 tff(f28262,plain,( 15.15/2.49 sK5 != tb2t1(choose(int,t2tb(below1(0)))) | (~spl30_511 | spl30_575)), 15.15/2.49 inference(backward_demodulation,[],[f23922,f21496])). 15.15/2.49 tff(f23922,plain,( 15.15/2.49 sK5 != tb2t1(choose(int,t2tb(pred1(succ1(sK0))))) | spl30_575), 15.15/2.49 inference(avatar_component_clause,[],[f23920])). 15.15/2.49 tff(f28321,plain,( 15.15/2.49 spl30_715 | ~spl30_179 | ~spl30_511 | ~spl30_572), 15.15/2.49 inference(avatar_split_clause,[],[f28316,f23889,f21494,f5860,f28318])). 15.15/2.49 tff(f23889,plain,( 15.15/2.49 spl30_572 <=> $less(tb2t1(sK21(int,t2tb(pred1(succ1(sK0))))),n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_572])])). 15.15/2.49 tff(f28316,plain,( 15.15/2.49 $less(tb2t1(sK21(int,empty(int))),n1) | (~spl30_179 | ~spl30_511 | ~spl30_572)), 15.15/2.49 inference(forward_demodulation,[],[f28261,f5862])). 15.15/2.49 tff(f28261,plain,( 15.15/2.49 $less(tb2t1(sK21(int,t2tb(below1(0)))),n1) | (~spl30_511 | ~spl30_572)), 15.15/2.49 inference(backward_demodulation,[],[f23891,f21496])). 15.15/2.49 tff(f23891,plain,( 15.15/2.49 $less(tb2t1(sK21(int,t2tb(pred1(succ1(sK0))))),n1) | ~spl30_572), 15.15/2.49 inference(avatar_component_clause,[],[f23889])). 15.15/2.49 tff(f28315,plain,( 15.15/2.49 spl30_714 | ~spl30_179 | ~spl30_511 | ~spl30_571), 15.15/2.49 inference(avatar_split_clause,[],[f28310,f23883,f21494,f5860,f28312])). 15.15/2.49 tff(f23883,plain,( 15.15/2.49 spl30_571 <=> $less(tb2t1(choose(int,t2tb(pred1(succ1(sK0))))),n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_571])])). 15.15/2.49 tff(f28310,plain,( 15.15/2.49 $less(tb2t1(choose(int,empty(int))),n1) | (~spl30_179 | ~spl30_511 | ~spl30_571)), 15.15/2.49 inference(forward_demodulation,[],[f28260,f5862])). 15.15/2.49 tff(f28260,plain,( 15.15/2.49 $less(tb2t1(choose(int,t2tb(below1(0)))),n1) | (~spl30_511 | ~spl30_571)), 15.15/2.49 inference(backward_demodulation,[],[f23885,f21496])). 15.15/2.49 tff(f23885,plain,( 15.15/2.49 $less(tb2t1(choose(int,t2tb(pred1(succ1(sK0))))),n1) | ~spl30_571), 15.15/2.49 inference(avatar_component_clause,[],[f23883])). 15.15/2.49 tff(f28309,plain,( 15.15/2.49 spl30_713 | ~spl30_507 | ~spl30_511), 15.15/2.49 inference(avatar_split_clause,[],[f28259,f21494,f21462,f28306])). 15.15/2.49 tff(f28306,plain,( 15.15/2.49 spl30_713 <=> $less(min_elt1(below1(0)),n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_713])])). 15.15/2.49 tff(f21462,plain,( 15.15/2.49 spl30_507 <=> $less(min_elt1(pred1(succ1(sK0))),n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_507])])). 15.15/2.49 tff(f28259,plain,( 15.15/2.49 $less(min_elt1(below1(0)),n1) | (~spl30_507 | ~spl30_511)), 15.15/2.49 inference(backward_demodulation,[],[f21464,f21496])). 15.15/2.49 tff(f21464,plain,( 15.15/2.49 $less(min_elt1(pred1(succ1(sK0))),n1) | ~spl30_507), 15.15/2.49 inference(avatar_component_clause,[],[f21462])). 15.15/2.49 tff(f28304,plain,( 15.15/2.49 spl30_712 | ~spl30_506 | ~spl30_511), 15.15/2.49 inference(avatar_split_clause,[],[f28258,f21494,f21457,f28301])). 15.15/2.49 tff(f28301,plain,( 15.15/2.49 spl30_712 <=> $less(max_elt1(below1(0)),n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_712])])). 15.15/2.49 tff(f21457,plain,( 15.15/2.49 spl30_506 <=> $less(max_elt1(pred1(succ1(sK0))),n1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_506])])). 15.15/2.49 tff(f28258,plain,( 15.15/2.49 $less(max_elt1(below1(0)),n1) | (~spl30_506 | ~spl30_511)), 15.15/2.49 inference(backward_demodulation,[],[f21459,f21496])). 15.15/2.49 tff(f21459,plain,( 15.15/2.49 $less(max_elt1(pred1(succ1(sK0))),n1) | ~spl30_506), 15.15/2.49 inference(avatar_component_clause,[],[f21457])). 15.15/2.49 tff(f28204,plain,( 15.15/2.49 spl30_511 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_505), 15.15/2.49 inference(avatar_split_clause,[],[f28197,f21453,f4452,f4283,f784,f21494])). 15.15/2.49 tff(f21453,plain,( 15.15/2.49 spl30_505 <=> is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_505])])). 15.15/2.49 tff(f28197,plain,( 15.15/2.49 below1(0) = pred1(succ1(sK0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_505)), 15.15/2.49 inference(resolution,[],[f21455,f5168])). 15.15/2.49 tff(f5168,plain,( 15.15/2.49 ( ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) | below1(0) = X0) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(superposition,[],[f5145,f309])). 15.15/2.49 tff(f21455,plain,( 15.15/2.49 is_empty(int,t2tb(pred1(succ1(sK0)))) | ~spl30_505), 15.15/2.49 inference(avatar_component_clause,[],[f21453])). 15.15/2.49 tff(f28203,plain,( 15.15/2.49 spl30_510 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_505), 15.15/2.49 inference(avatar_split_clause,[],[f28196,f21453,f5630,f4452,f4283,f784,f21489])). 15.15/2.49 tff(f21489,plain,( 15.15/2.49 spl30_510 <=> pred1(succ1(sK0)) = succ1(pred1(succ1(sK0)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_510])])). 15.15/2.49 tff(f5630,plain,( 15.15/2.49 spl30_175 <=> below1(0) = succ1(below1(0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_175])])). 15.15/2.49 tff(f28196,plain,( 15.15/2.49 pred1(succ1(sK0)) = succ1(pred1(succ1(sK0))) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_505)), 15.15/2.49 inference(resolution,[],[f21455,f9496])). 15.15/2.49 tff(f9496,plain,( 15.15/2.49 ( ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) | succ1(X0) = X0) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175)), 15.15/2.49 inference(superposition,[],[f5656,f309])). 15.15/2.49 tff(f5656,plain,( 15.15/2.49 ( ! [X0 : uni] : (tb2t(X0) = succ1(tb2t(X0)) | ~is_empty(int,X0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175)), 15.15/2.49 inference(superposition,[],[f5632,f5145])). 15.15/2.49 tff(f5632,plain,( 15.15/2.49 below1(0) = succ1(below1(0)) | ~spl30_175), 15.15/2.49 inference(avatar_component_clause,[],[f5630])). 15.15/2.49 tff(f28202,plain,( 15.15/2.49 spl30_509 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_505), 15.15/2.49 inference(avatar_split_clause,[],[f28195,f21453,f5635,f4452,f4283,f784,f21484])). 15.15/2.49 tff(f21484,plain,( 15.15/2.49 spl30_509 <=> pred1(succ1(sK0)) = pred1(pred1(succ1(sK0)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_509])])). 15.15/2.49 tff(f5635,plain,( 15.15/2.49 spl30_176 <=> below1(0) = pred1(below1(0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_176])])). 15.15/2.49 tff(f28195,plain,( 15.15/2.49 pred1(succ1(sK0)) = pred1(pred1(succ1(sK0))) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_505)), 15.15/2.49 inference(resolution,[],[f21455,f9650])). 15.15/2.49 tff(f9650,plain,( 15.15/2.49 ( ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) | pred1(X0) = X0) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176)), 15.15/2.49 inference(superposition,[],[f5763,f309])). 15.15/2.49 tff(f5763,plain,( 15.15/2.49 ( ! [X0 : uni] : (tb2t(X0) = pred1(tb2t(X0)) | ~is_empty(int,X0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176)), 15.15/2.49 inference(superposition,[],[f5637,f5145])). 15.15/2.49 tff(f5637,plain,( 15.15/2.49 below1(0) = pred1(below1(0)) | ~spl30_176), 15.15/2.49 inference(avatar_component_clause,[],[f5635])). 15.15/2.49 tff(f28135,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28051,f26658,f21453])). 15.15/2.49 tff(f28051,plain,( 15.15/2.49 is_empty(int,t2tb(pred1(succ1(sK0)))) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f323])). 15.15/2.49 tff(f28134,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28052,f26658,f21453])). 15.15/2.49 tff(f28052,plain,( 15.15/2.49 is_empty(int,t2tb(pred1(succ1(sK0)))) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f324])). 15.15/2.49 tff(f28133,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28055,f26658,f21453])). 15.15/2.49 tff(f28055,plain,( 15.15/2.49 is_empty(int,t2tb(pred1(succ1(sK0)))) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f845])). 15.15/2.49 tff(f28132,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28058,f26658,f21453])). 15.15/2.49 tff(f28058,plain,( 15.15/2.49 is_empty(int,t2tb(pred1(succ1(sK0)))) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f879])). 15.15/2.49 tff(f28131,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28066,f26658,f21453])). 15.15/2.49 tff(f28066,plain,( 15.15/2.49 is_empty(int,t2tb(pred1(succ1(sK0)))) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f335])). 15.15/2.49 tff(f28130,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28070,f26658,f21453])). 15.15/2.49 tff(f28070,plain,( 15.15/2.49 is_empty(int,t2tb(pred1(succ1(sK0)))) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f334])). 15.15/2.49 tff(f28121,plain,( 15.15/2.49 spl30_573 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28074,f26658,f23894])). 15.15/2.49 tff(f23894,plain,( 15.15/2.49 spl30_573 <=> infix_eqeq(int,t2tb(pred1(succ1(sK0))),empty(int))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_573])])). 15.15/2.49 tff(f28074,plain,( 15.15/2.49 infix_eqeq(int,t2tb(pred1(succ1(sK0))),empty(int)) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f1520])). 15.15/2.49 tff(f28120,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_contradiction_clause,[],[f28119])). 15.15/2.49 tff(f28119,plain,( 15.15/2.49 $false | (spl30_505 | ~spl30_662)), 15.15/2.49 inference(subsumption_resolution,[],[f28070,f21454])). 15.15/2.49 tff(f21454,plain,( 15.15/2.49 ~is_empty(int,t2tb(pred1(succ1(sK0)))) | spl30_505), 15.15/2.49 inference(avatar_component_clause,[],[f21453])). 15.15/2.49 tff(f28118,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_contradiction_clause,[],[f28117])). 15.15/2.49 tff(f28117,plain,( 15.15/2.49 $false | (spl30_505 | ~spl30_662)), 15.15/2.49 inference(subsumption_resolution,[],[f28066,f21454])). 15.15/2.49 tff(f28116,plain,( 15.15/2.49 ~spl30_626 | spl30_627 | ~spl30_662), 15.15/2.49 inference(avatar_split_clause,[],[f28065,f26658,f26021,f26017])). 15.15/2.49 tff(f26017,plain,( 15.15/2.49 spl30_626 <=> $less(tb2t1(sK25(int,t2tb(pred1(succ1(sK0))),t2tb(sK0))),0)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_626])])). 15.15/2.49 tff(f26021,plain,( 15.15/2.49 spl30_627 <=> infix_eqeq(int,t2tb(pred1(succ1(sK0))),t2tb(sK0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_627])])). 15.15/2.49 tff(f28065,plain,( 15.15/2.49 infix_eqeq(int,t2tb(pred1(succ1(sK0))),t2tb(sK0)) | ~$less(tb2t1(sK25(int,t2tb(pred1(succ1(sK0))),t2tb(sK0))),0) | ~spl30_662), 15.15/2.49 inference(resolution,[],[f27987,f1534])). 15.15/2.49 tff(f28115,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_contradiction_clause,[],[f28114])). 15.15/2.49 tff(f28114,plain,( 15.15/2.49 $false | (spl30_505 | ~spl30_662)), 15.15/2.49 inference(subsumption_resolution,[],[f28058,f21454])). 15.15/2.49 tff(f28113,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_contradiction_clause,[],[f28112])). 15.15/2.49 tff(f28112,plain,( 15.15/2.49 $false | (spl30_505 | ~spl30_662)), 15.15/2.49 inference(subsumption_resolution,[],[f28055,f21454])). 15.15/2.49 tff(f28111,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_contradiction_clause,[],[f28110])). 15.15/2.49 tff(f28110,plain,( 15.15/2.49 $false | (spl30_505 | ~spl30_662)), 15.15/2.49 inference(subsumption_resolution,[],[f28052,f21454])). 15.15/2.49 tff(f28109,plain,( 15.15/2.49 spl30_505 | ~spl30_662), 15.15/2.49 inference(avatar_contradiction_clause,[],[f28108])). 15.15/2.49 tff(f28108,plain,( 15.15/2.49 $false | (spl30_505 | ~spl30_662)), 15.15/2.49 inference(subsumption_resolution,[],[f28051,f21454])). 15.15/2.49 tff(f28050,plain,( 15.15/2.49 spl30_570), 15.15/2.49 inference(avatar_split_clause,[],[f28049,f23749])). 15.15/2.49 tff(f23749,plain,( 15.15/2.49 spl30_570 <=> ! [X275 : uni,X276 : uni,X274 : uni,X277 : uni] : (~mem(int,X274,X275) | ~is_empty(int,X277) | ~subset(int,X275,inter(int,X276,X277)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_570])])). 15.15/2.49 tff(f28049,plain,( 15.15/2.49 ( ! [X178 : uni,X176 : uni,X177 : uni,X175 : uni] : (~mem(int,X175,X176) | ~subset(int,X176,inter(int,X177,X178)) | ~is_empty(int,X178)) )), 15.15/2.49 inference(subsumption_resolution,[],[f28028,f613])). 15.15/2.49 tff(f28028,plain,( 15.15/2.49 ( ! [X178 : uni,X176 : uni,X177 : uni,X175 : uni] : (~sort1(int,X175) | ~mem(int,X175,X176) | ~subset(int,X176,inter(int,X177,X178)) | ~is_empty(int,X178)) )), 15.15/2.49 inference(resolution,[],[f2710,f4276])). 15.15/2.49 tff(f4276,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : uni,X1 : uni] : (subset(int,inter(int,X1,X0),X2) | ~is_empty(int,X0)) )), 15.15/2.49 inference(superposition,[],[f4258,f3275])). 15.15/2.49 tff(f4258,plain,( 15.15/2.49 ( ! [X39 : uni,X37 : uni] : (subset(int,inter(int,X37,empty(int)),X39)) )), 15.15/2.49 inference(forward_demodulation,[],[f3887,f3971])). 15.15/2.49 tff(f3971,plain,( 15.15/2.49 ( ! [X10 : uni] : (empty(int) = diff(int,X10,X10)) )), 15.15/2.49 inference(subsumption_resolution,[],[f3970,f370])). 15.15/2.49 tff(f370,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (sort1(set(X0),diff(X0,X1,X2))) )), 15.15/2.49 inference(cnf_transformation,[],[f132])). 15.15/2.49 tff(f132,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni] : sort1(set(X0),diff(X0,X1,X2))), 15.15/2.49 inference(rectify,[],[f7])). 15.15/2.49 tff(f7,axiom,( 15.15/2.49 ! [X0 : ty,X1 : uni,X6 : uni] : sort1(set(X0),diff(X0,X1,X6))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_sort1)). 15.15/2.49 tff(f3970,plain,( 15.15/2.49 ( ! [X10 : uni] : (empty(int) = diff(int,X10,X10) | ~sort1(set(int),diff(int,X10,X10))) )), 15.15/2.49 inference(subsumption_resolution,[],[f3966,f317])). 15.15/2.49 tff(f3966,plain,( 15.15/2.49 ( ! [X10 : uni] : (empty(int) = diff(int,X10,X10) | ~sort1(set(int),empty(int)) | ~sort1(set(int),diff(int,X10,X10))) )), 15.15/2.49 inference(resolution,[],[f3877,f392])). 15.15/2.49 tff(f3877,plain,( 15.15/2.49 ( ! [X14 : uni] : (infix_eqeq(int,diff(int,X14,X14),empty(int))) )), 15.15/2.49 inference(resolution,[],[f3867,f1520])). 15.15/2.49 tff(f3867,plain,( 15.15/2.49 ( ! [X40 : uni,X39 : uni] : (~mem(int,X39,diff(int,X40,X40))) )), 15.15/2.49 inference(global_subsumption,[],[f3866])). 15.15/2.49 tff(f3866,plain,( 15.15/2.49 ( ! [X38 : uni,X37 : uni] : (~mem(int,X37,diff(int,X38,X38))) )), 15.15/2.49 inference(global_subsumption,[],[f3854])). 15.15/2.49 tff(f3854,plain,( 15.15/2.49 ( ! [X26 : uni,X27 : uni] : (~mem(int,X26,diff(int,X27,X27))) )), 15.15/2.49 inference(resolution,[],[f3807,f1691])). 15.15/2.49 tff(f1691,plain,( 15.15/2.49 ( ! [X2 : uni,X1 : uni] : (~subset(int,X2,t2tb(below1(tb2t1(X1)))) | ~mem(int,X1,X2)) )), 15.15/2.49 inference(resolution,[],[f1685,f380])). 15.15/2.49 tff(f1685,plain,( 15.15/2.49 ( ! [X1 : uni] : (~mem(int,X1,t2tb(below1(tb2t1(X1))))) )), 15.15/2.49 inference(subsumption_resolution,[],[f1683,f332])). 15.15/2.49 tff(f1683,plain,( 15.15/2.49 ( ! [X1 : uni] : (~mem(int,X1,t2tb(below1(tb2t1(X1)))) | is_empty(int,t2tb(below1(tb2t1(X1))))) )), 15.15/2.49 inference(resolution,[],[f1488,f834])). 15.15/2.49 tff(f834,plain,( 15.15/2.49 ( ! [X0 : $int] : ($less(max_elt1(below1(X0)),X0) | is_empty(int,t2tb(below1(X0)))) )), 15.15/2.49 inference(resolution,[],[f323,f357])). 15.15/2.49 tff(f357,plain,( 15.15/2.49 ( ! [X0 : $int,X1 : $int] : (~mem(int,t2tb1(X0),t2tb(below1(X1))) | $less(X0,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f231])). 15.15/2.49 tff(f231,plain,( 15.15/2.49 ! [X0 : $int,X1 : $int] : ((($less(X0,X1) & ~$less(X0,0)) | ~mem(int,t2tb1(X0),t2tb(below1(X1)))) & (mem(int,t2tb1(X0),t2tb(below1(X1))) | ~$less(X0,X1) | $less(X0,0)))), 15.15/2.49 inference(flattening,[],[f230])). 15.15/2.49 tff(f230,plain,( 15.15/2.49 ! [X0 : $int,X1 : $int] : ((($less(X0,X1) & ~$less(X0,0)) | ~mem(int,t2tb1(X0),t2tb(below1(X1)))) & (mem(int,t2tb1(X0),t2tb(below1(X1))) | (~$less(X0,X1) | $less(X0,0))))), 15.15/2.49 inference(nnf_transformation,[],[f125])). 15.15/2.49 tff(f125,plain,( 15.15/2.49 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) <=> mem(int,t2tb1(X0),t2tb(below1(X1))))), 15.15/2.49 inference(rectify,[],[f85])). 15.15/2.49 tff(f85,plain,( 15.15/2.49 ! [X1 : $int,X30 : $int] : (($less(X1,X30) & ~$less(X1,0)) <=> mem(int,t2tb1(X1),t2tb(below1(X30))))), 15.15/2.49 inference(theory_normalization,[],[f62])). 15.15/2.49 tff(f62,axiom,( 15.15/2.49 ! [X1 : $int,X30 : $int] : (($less(X1,X30) & $lesseq(0,X1)) <=> mem(int,t2tb1(X1),t2tb(below1(X30))))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',below_def)). 15.15/2.49 tff(f1488,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : set_int] : (~$less(max_elt1(X1),tb2t1(X0)) | ~mem(int,X0,t2tb(X1))) )), 15.15/2.49 inference(superposition,[],[f1478,f315])). 15.15/2.49 tff(f1478,plain,( 15.15/2.49 ( ! [X0 : set_int,X1 : $int] : (~mem(int,t2tb1(X1),t2tb(X0)) | ~$less(max_elt1(X0),X1)) )), 15.15/2.49 inference(equality_resolution,[],[f1465])). 15.15/2.49 tff(f1465,plain,( 15.15/2.49 ( ! [X2 : $int,X0 : set_int,X1 : $int] : (max_elt1(X0) != X2 | ~$less(X2,X1) | ~mem(int,t2tb1(X1),t2tb(X0))) )), 15.15/2.49 inference(subsumption_resolution,[],[f456,f332])). 15.15/2.49 tff(f456,plain,( 15.15/2.49 ( ! [X2 : $int,X0 : set_int,X1 : $int] : (max_elt1(X0) != X2 | ~$less(X2,X1) | ~mem(int,t2tb1(X1),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 15.15/2.49 inference(theory_flattening,[],[f325])). 15.15/2.49 tff(f325,plain,( 15.15/2.49 ( ! [X0 : set_int,X1 : $int] : (~$less(max_elt1(X0),X1) | ~mem(int,t2tb1(X1),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 15.15/2.49 inference(cnf_transformation,[],[f163])). 15.15/2.49 tff(f163,plain,( 15.15/2.49 ! [X0 : set_int] : (! [X1 : $int] : (~$less(max_elt1(X0),X1) | ~mem(int,t2tb1(X1),t2tb(X0))) | is_empty(int,t2tb(X0)))), 15.15/2.49 inference(ennf_transformation,[],[f111])). 15.15/2.49 tff(f111,plain,( 15.15/2.49 ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) => ! [X1 : $int] : (mem(int,t2tb1(X1),t2tb(X0)) => ~$less(max_elt1(X0),X1)))), 15.15/2.49 inference(rectify,[],[f80])). 15.15/2.49 tff(f80,plain,( 15.15/2.49 ! [X2 : set_int] : (~is_empty(int,t2tb(X2)) => ! [X1 : $int] : (mem(int,t2tb1(X1),t2tb(X2)) => ~$less(max_elt1(X2),X1)))), 15.15/2.49 inference(theory_normalization,[],[f3])). 15.15/2.49 tff(f3,axiom,( 15.15/2.49 ! [X2 : set_int] : (~is_empty(int,t2tb(X2)) => ! [X1 : $int] : (mem(int,t2tb1(X1),t2tb(X2)) => $lesseq(X1,max_elt1(X2))))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_elt_def2)). 15.15/2.49 tff(f3807,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni,X5 : uni] : (subset(X3,diff(X3,X4,X4),X5)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f3795])). 15.15/2.49 tff(f3795,plain,( 15.15/2.49 ( ! [X3 : ty,X4 : uni,X5 : uni] : (subset(X3,diff(X3,X4,X4),X5) | subset(X3,diff(X3,X4,X4),X5)) )), 15.15/2.49 inference(resolution,[],[f948,f943])). 15.15/2.49 tff(f943,plain,( 15.15/2.49 ( ! [X8 : uni,X6 : ty,X9 : uni,X7 : uni] : (mem(X6,sK26(X6,diff(X6,X7,X8),X9),X7) | subset(X6,diff(X6,X7,X8),X9)) )), 15.15/2.49 inference(resolution,[],[f417,f382])). 15.15/2.49 tff(f417,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X3,diff(X0,X1,X2)) | mem(X0,X3,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f259])). 15.15/2.49 tff(f259,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((~mem(X0,X3,X2) & mem(X0,X3,X1)) | ~mem(X0,X3,diff(X0,X1,X2))) & (mem(X0,X3,diff(X0,X1,X2)) | mem(X0,X3,X2) | ~mem(X0,X3,X1)))), 15.15/2.49 inference(flattening,[],[f258])). 15.15/2.49 tff(f258,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((~mem(X0,X3,X2) & mem(X0,X3,X1)) | ~mem(X0,X3,diff(X0,X1,X2))) & (mem(X0,X3,diff(X0,X1,X2)) | (mem(X0,X3,X2) | ~mem(X0,X3,X1))))), 15.15/2.49 inference(nnf_transformation,[],[f153])). 15.15/2.49 tff(f153,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((~mem(X0,X3,X2) & mem(X0,X3,X1)) <=> mem(X0,X3,diff(X0,X1,X2)))), 15.15/2.49 inference(rectify,[],[f32])). 15.15/2.49 tff(f32,axiom,( 15.15/2.49 ! [X0 : ty,X3 : uni,X4 : uni,X1 : uni] : ((~mem(X0,X1,X4) & mem(X0,X1,X3)) <=> mem(X0,X1,diff(X0,X3,X4)))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_def1)). 15.15/2.49 tff(f948,plain,( 15.15/2.49 ( ! [X8 : uni,X6 : ty,X9 : uni,X7 : uni] : (~mem(X6,sK26(X6,diff(X6,X7,X8),X9),X8) | subset(X6,diff(X6,X7,X8),X9)) )), 15.15/2.49 inference(resolution,[],[f418,f382])). 15.15/2.49 tff(f418,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X3,diff(X0,X1,X2)) | ~mem(X0,X3,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f259])). 15.15/2.49 tff(f3887,plain,( 15.15/2.49 ( ! [X38 : uni,X39 : uni,X37 : uni] : (subset(int,inter(int,X37,diff(int,X38,X38)),X39)) )), 15.15/2.49 inference(resolution,[],[f3867,f952])). 15.15/2.49 tff(f952,plain,( 15.15/2.49 ( ! [X8 : uni,X6 : ty,X9 : uni,X7 : uni] : (mem(X6,sK26(X6,inter(X6,X7,X8),X9),X8) | subset(X6,inter(X6,X7,X8),X9)) )), 15.15/2.49 inference(resolution,[],[f420,f382])). 15.15/2.49 tff(f28048,plain,( 15.15/2.49 spl30_569), 15.15/2.49 inference(avatar_split_clause,[],[f28047,f23745])). 15.15/2.49 tff(f23745,plain,( 15.15/2.49 spl30_569 <=> ! [X272 : uni,X270 : uni,X271 : uni,X269 : uni] : (~mem(int,X269,X270) | ~is_empty(int,X271) | ~subset(int,X270,inter(int,X271,X272)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_569])])). 15.15/2.49 tff(f28047,plain,( 15.15/2.49 ( ! [X171 : uni,X174 : uni,X172 : uni,X173 : uni] : (~mem(int,X171,X172) | ~subset(int,X172,inter(int,X173,X174)) | ~is_empty(int,X173)) )), 15.15/2.49 inference(subsumption_resolution,[],[f28027,f613])). 15.15/2.49 tff(f28027,plain,( 15.15/2.49 ( ! [X171 : uni,X174 : uni,X172 : uni,X173 : uni] : (~sort1(int,X171) | ~mem(int,X171,X172) | ~subset(int,X172,inter(int,X173,X174)) | ~is_empty(int,X173)) )), 15.15/2.49 inference(resolution,[],[f2710,f4446])). 15.15/2.49 tff(f4446,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : uni,X1 : uni] : (subset(int,inter(int,X0,X1),X2) | ~is_empty(int,X0)) )), 15.15/2.49 inference(superposition,[],[f4428,f3275])). 15.15/2.49 tff(f4428,plain,( 15.15/2.49 ( ! [X88 : uni,X89 : uni] : (subset(int,inter(int,empty(int),X88),X89)) )), 15.15/2.49 inference(forward_demodulation,[],[f3911,f3971])). 15.15/2.49 tff(f3911,plain,( 15.15/2.49 ( ! [X88 : uni,X89 : uni,X87 : uni] : (subset(int,inter(int,diff(int,X87,X87),X88),X89)) )), 15.15/2.49 inference(resolution,[],[f998,f3867])). 15.15/2.49 tff(f998,plain,( 15.15/2.49 ( ! [X10 : uni,X11 : uni,X8 : ty,X9 : uni] : (mem(X8,sK26(X8,inter(X8,X9,X10),X11),X9) | subset(X8,inter(X8,X9,X10),X11)) )), 15.15/2.49 inference(resolution,[],[f421,f382])). 15.15/2.49 tff(f28046,plain,( 15.15/2.49 spl30_568 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160), 15.15/2.49 inference(avatar_split_clause,[],[f28045,f5164,f4452,f4283,f784,f23741])). 15.15/2.49 tff(f23741,plain,( 15.15/2.49 spl30_568 <=> ! [X267 : set_int,X266 : uni,X265 : uni] : (~mem(int,X265,X266) | ~is_empty(int,t2tb(X267)) | ~subset(int,X266,t2tb(succ1(X267))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_568])])). 15.15/2.49 tff(f5164,plain,( 15.15/2.49 spl30_160 <=> ! [X66 : $int] : ~mem(int,t2tb1(X66),t2tb(succ1(below1(0))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_160])])). 15.15/2.49 tff(f28045,plain,( 15.15/2.49 ( ! [X170 : set_int,X168 : uni,X169 : uni] : (~mem(int,X168,X169) | ~subset(int,X169,t2tb(succ1(X170))) | ~is_empty(int,t2tb(X170))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160)), 15.15/2.49 inference(subsumption_resolution,[],[f28026,f613])). 15.15/2.49 tff(f28026,plain,( 15.15/2.49 ( ! [X170 : set_int,X168 : uni,X169 : uni] : (~sort1(int,X168) | ~mem(int,X168,X169) | ~subset(int,X169,t2tb(succ1(X170))) | ~is_empty(int,t2tb(X170))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160)), 15.15/2.49 inference(resolution,[],[f2710,f14794])). 15.15/2.49 tff(f14794,plain,( 15.15/2.49 ( ! [X0 : set_int,X1 : uni] : (subset(int,t2tb(succ1(X0)),X1) | ~is_empty(int,t2tb(X0))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160)), 15.15/2.49 inference(superposition,[],[f5584,f309])). 15.15/2.49 tff(f5584,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : uni] : (subset(int,t2tb(succ1(tb2t(X0))),X1) | ~is_empty(int,X0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160)), 15.15/2.49 inference(superposition,[],[f5538,f5145])). 15.15/2.49 tff(f5538,plain,( 15.15/2.49 ( ! [X8 : uni] : (subset(int,t2tb(succ1(below1(0))),X8)) ) | ~spl30_160), 15.15/2.49 inference(resolution,[],[f5503,f382])). 15.15/2.49 tff(f5503,plain,( 15.15/2.49 ( ! [X0 : uni] : (~mem(int,X0,t2tb(succ1(below1(0))))) ) | ~spl30_160), 15.15/2.49 inference(superposition,[],[f5165,f315])). 15.15/2.49 tff(f5165,plain,( 15.15/2.49 ( ! [X66 : $int] : (~mem(int,t2tb1(X66),t2tb(succ1(below1(0))))) ) | ~spl30_160), 15.15/2.49 inference(avatar_component_clause,[],[f5164])). 15.15/2.49 tff(f28044,plain,( 15.15/2.49 spl30_567 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160), 15.15/2.49 inference(avatar_split_clause,[],[f28043,f5164,f4452,f4283,f784,f23737])). 15.15/2.49 tff(f23737,plain,( 15.15/2.49 spl30_567 <=> ! [X263 : uni,X262 : uni,X261 : uni] : (~mem(int,X261,X262) | ~is_empty(int,X263) | ~subset(int,X262,t2tb(succ1(tb2t(X263)))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_567])])). 15.15/2.49 tff(f28043,plain,( 15.15/2.49 ( ! [X166 : uni,X167 : uni,X165 : uni] : (~mem(int,X165,X166) | ~subset(int,X166,t2tb(succ1(tb2t(X167)))) | ~is_empty(int,X167)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160)), 15.15/2.49 inference(subsumption_resolution,[],[f28025,f613])). 15.15/2.49 tff(f28025,plain,( 15.15/2.49 ( ! [X166 : uni,X167 : uni,X165 : uni] : (~sort1(int,X165) | ~mem(int,X165,X166) | ~subset(int,X166,t2tb(succ1(tb2t(X167)))) | ~is_empty(int,X167)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160)), 15.15/2.49 inference(resolution,[],[f2710,f5584])). 15.15/2.49 tff(f28042,plain,( 15.15/2.49 spl30_566 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159), 15.15/2.49 inference(avatar_split_clause,[],[f28041,f5159,f4452,f4283,f784,f23733])). 15.15/2.49 tff(f23733,plain,( 15.15/2.49 spl30_566 <=> ! [X259 : set_int,X257 : uni,X258 : uni] : (~mem(int,X257,X258) | ~is_empty(int,t2tb(X259)) | ~subset(int,X258,t2tb(pred1(X259))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_566])])). 15.15/2.49 tff(f5159,plain,( 15.15/2.49 spl30_159 <=> ! [X64 : $int] : ~mem(int,t2tb1(X64),t2tb(pred1(below1(0))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_159])])). 15.15/2.49 tff(f28041,plain,( 15.15/2.49 ( ! [X162 : uni,X163 : uni,X164 : set_int] : (~mem(int,X162,X163) | ~subset(int,X163,t2tb(pred1(X164))) | ~is_empty(int,t2tb(X164))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159)), 15.15/2.49 inference(subsumption_resolution,[],[f28024,f613])). 15.15/2.49 tff(f28024,plain,( 15.15/2.49 ( ! [X162 : uni,X163 : uni,X164 : set_int] : (~sort1(int,X162) | ~mem(int,X162,X163) | ~subset(int,X163,t2tb(pred1(X164))) | ~is_empty(int,t2tb(X164))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159)), 15.15/2.49 inference(resolution,[],[f2710,f14750])). 15.15/2.49 tff(f14750,plain,( 15.15/2.49 ( ! [X0 : set_int,X1 : uni] : (subset(int,t2tb(pred1(X0)),X1) | ~is_empty(int,t2tb(X0))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159)), 15.15/2.49 inference(superposition,[],[f5469,f309])). 15.15/2.49 tff(f5469,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : uni] : (subset(int,t2tb(pred1(tb2t(X0))),X1) | ~is_empty(int,X0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159)), 15.15/2.49 inference(superposition,[],[f5407,f5145])). 15.15/2.49 tff(f5407,plain,( 15.15/2.49 ( ! [X8 : uni] : (subset(int,t2tb(pred1(below1(0))),X8)) ) | ~spl30_159), 15.15/2.49 inference(resolution,[],[f5240,f382])). 15.15/2.49 tff(f5240,plain,( 15.15/2.49 ( ! [X0 : uni] : (~mem(int,X0,t2tb(pred1(below1(0))))) ) | ~spl30_159), 15.15/2.49 inference(superposition,[],[f5160,f315])). 15.15/2.49 tff(f5160,plain,( 15.15/2.49 ( ! [X64 : $int] : (~mem(int,t2tb1(X64),t2tb(pred1(below1(0))))) ) | ~spl30_159), 15.15/2.49 inference(avatar_component_clause,[],[f5159])). 15.15/2.49 tff(f28040,plain,( 15.15/2.49 spl30_565 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159), 15.15/2.49 inference(avatar_split_clause,[],[f28039,f5159,f4452,f4283,f784,f23729])). 15.15/2.49 tff(f23729,plain,( 15.15/2.49 spl30_565 <=> ! [X253 : uni,X254 : uni,X255 : uni] : (~mem(int,X253,X254) | ~is_empty(int,X255) | ~subset(int,X254,t2tb(pred1(tb2t(X255)))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_565])])). 15.15/2.49 tff(f28039,plain,( 15.15/2.49 ( ! [X160 : uni,X161 : uni,X159 : uni] : (~mem(int,X159,X160) | ~subset(int,X160,t2tb(pred1(tb2t(X161)))) | ~is_empty(int,X161)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159)), 15.15/2.49 inference(subsumption_resolution,[],[f28023,f613])). 15.15/2.49 tff(f28023,plain,( 15.15/2.49 ( ! [X160 : uni,X161 : uni,X159 : uni] : (~sort1(int,X159) | ~mem(int,X159,X160) | ~subset(int,X160,t2tb(pred1(tb2t(X161)))) | ~is_empty(int,X161)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159)), 15.15/2.49 inference(resolution,[],[f2710,f5469])). 15.15/2.49 tff(f28038,plain,( 15.15/2.49 spl30_564 | ~spl30_39 | ~spl30_146 | ~spl30_147), 15.15/2.49 inference(avatar_split_clause,[],[f28037,f4452,f4283,f784,f23725])). 15.15/2.49 tff(f23725,plain,( 15.15/2.49 spl30_564 <=> ! [X249 : uni,X251 : $int,X250 : uni] : (~mem(int,X249,X250) | ~$less(X251,0) | ~subset(int,X250,t2tb(below1(X251))))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_564])])). 15.15/2.49 tff(f28037,plain,( 15.15/2.49 ( ! [X158 : $int,X156 : uni,X157 : uni] : (~mem(int,X156,X157) | ~subset(int,X157,t2tb(below1(X158))) | ~$less(X158,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(subsumption_resolution,[],[f28022,f613])). 15.15/2.49 tff(f28022,plain,( 15.15/2.49 ( ! [X158 : $int,X156 : uni,X157 : uni] : (~sort1(int,X156) | ~mem(int,X156,X157) | ~subset(int,X157,t2tb(below1(X158))) | ~$less(X158,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(resolution,[],[f2710,f9943])). 15.15/2.49 tff(f9943,plain,( 15.15/2.49 ( ! [X28 : $int,X29 : uni] : (subset(int,t2tb(below1(X28)),X29) | ~$less(X28,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(resolution,[],[f6407,f382])). 15.15/2.49 tff(f6407,plain,( 15.15/2.49 ( ! [X21 : $int,X22 : uni] : (~mem(int,X22,t2tb(below1(X21))) | ~$less(X21,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(subsumption_resolution,[],[f6355,f802])). 15.15/2.49 tff(f802,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : $int] : (~mem(int,X0,t2tb(below1(X1))) | ~$less(tb2t1(X0),0)) )), 15.15/2.49 inference(superposition,[],[f356,f315])). 15.15/2.49 tff(f356,plain,( 15.15/2.49 ( ! [X0 : $int,X1 : $int] : (~mem(int,t2tb1(X0),t2tb(below1(X1))) | ~$less(X0,0)) )), 15.15/2.49 inference(cnf_transformation,[],[f231])). 15.15/2.49 tff(f6355,plain,( 15.15/2.49 ( ! [X21 : $int,X22 : uni] : (~mem(int,X22,t2tb(below1(X21))) | $less(tb2t1(X22),0) | ~$less(X21,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(superposition,[],[f804,f5618])). 15.15/2.49 tff(f5618,plain,( 15.15/2.49 ( ! [X0 : $int] : (below1(X0) = below1(0) | ~$less(X0,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.49 inference(resolution,[],[f5168,f2483])). 15.15/2.49 tff(f2483,plain,( 15.15/2.49 ( ! [X10 : $int] : (is_empty(int,t2tb(below1(X10))) | ~$less(X10,0)) )), 15.15/2.49 inference(trivial_inequality_removal,[],[f2482])). 15.15/2.49 tff(f2482,plain,( 15.15/2.49 ( ! [X10 : $int] : (0 != 0 | is_empty(int,t2tb(below1(X10))) | ~$less(X10,0)) )), 15.15/2.49 inference(superposition,[],[f350,f2474])). 15.15/2.49 tff(f2474,plain,( 15.15/2.49 ( ! [X0 : $int] : (0 = cardinal1(int,t2tb(below1(X0))) | ~$less(X0,0)) )), 15.15/2.49 inference(equality_resolution,[],[f1358])). 15.15/2.49 tff(f1358,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : $int] : (int != X0 | 0 = cardinal1(X0,t2tb(below1(X1))) | ~$less(X1,0)) )), 15.15/2.49 inference(equality_resolution,[],[f455])). 15.15/2.49 tff(f455,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : $int,X1 : ty] : (t2tb(below1(X0)) != X2 | int != X1 | 0 = cardinal1(X1,X2) | ~$less(X0,0)) )), 15.15/2.49 inference(theory_flattening,[],[f321])). 15.15/2.49 tff(f321,plain,( 15.15/2.49 ( ! [X0 : $int] : (0 = cardinal1(int,t2tb(below1(X0))) | ~$less(X0,0)) )), 15.15/2.49 inference(cnf_transformation,[],[f160])). 15.15/2.49 tff(f160,plain,( 15.15/2.49 ! [X0 : $int] : ((0 = cardinal1(int,t2tb(below1(X0))) | ~$less(X0,0)) & (cardinal1(int,t2tb(below1(X0))) = X0 | $less(X0,0)))), 15.15/2.49 inference(ennf_transformation,[],[f107])). 15.15/2.49 tff(f107,plain,( 15.15/2.49 ! [X0 : $int] : (($less(X0,0) => 0 = cardinal1(int,t2tb(below1(X0)))) & (~$less(X0,0) => cardinal1(int,t2tb(below1(X0))) = X0))), 15.15/2.49 inference(rectify,[],[f79])). 15.15/2.49 tff(f79,plain,( 15.15/2.49 ! [X30 : $int] : (($less(X30,0) => 0 = cardinal1(int,t2tb(below1(X30)))) & (~$less(X30,0) => cardinal1(int,t2tb(below1(X30))) = X30))), 15.15/2.49 inference(theory_normalization,[],[f73])). 15.15/2.49 tff(f73,axiom,( 15.15/2.49 ! [X30 : $int] : ((~$lesseq(0,X30) => 0 = cardinal1(int,t2tb(below1(X30)))) & ($lesseq(0,X30) => cardinal1(int,t2tb(below1(X30))) = X30))), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal_below)). 15.15/2.49 tff(f350,plain,( 15.15/2.49 ( ! [X0 : ty,X1 : uni] : (0 != cardinal1(X0,X1) | is_empty(X0,X1)) )), 15.15/2.49 inference(cnf_transformation,[],[f227])). 15.15/2.49 tff(f227,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | 0 != cardinal1(X0,X1)) & (0 = cardinal1(X0,X1) | ~is_empty(X0,X1)))), 15.15/2.49 inference(nnf_transformation,[],[f121])). 15.15/2.49 tff(f121,plain,( 15.15/2.49 ! [X0 : ty,X1 : uni] : (is_empty(X0,X1) <=> 0 = cardinal1(X0,X1))), 15.15/2.49 inference(rectify,[],[f6])). 15.15/2.49 tff(f6,axiom,( 15.15/2.49 ! [X0 : ty,X2 : uni] : (is_empty(X0,X2) <=> cardinal1(X0,X2) = 0)), 15.15/2.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal_empty)). 15.15/2.49 tff(f804,plain,( 15.15/2.49 ( ! [X0 : uni,X1 : $int] : (~mem(int,X0,t2tb(below1(X1))) | $less(tb2t1(X0),X1)) )), 15.15/2.49 inference(superposition,[],[f357,f315])). 15.15/2.49 tff(f27879,plain,( 15.15/2.49 ~spl30_711 | spl30_128), 15.15/2.49 inference(avatar_split_clause,[],[f27854,f3443,f27876])). 15.15/2.49 tff(f27876,plain,( 15.15/2.49 spl30_711 <=> is_empty(int,inter(int,t2tb(sK8),t2tb(sK8)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_711])])). 15.15/2.49 tff(f3443,plain,( 15.15/2.49 spl30_128 <=> infix_eqeq(int,t2tb(sK8),empty(int))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_128])])). 15.15/2.49 tff(f27854,plain,( 15.15/2.49 ~is_empty(int,inter(int,t2tb(sK8),t2tb(sK8))) | spl30_128), 15.15/2.49 inference(resolution,[],[f27199,f13223])). 15.15/2.49 tff(f13223,plain,( 15.15/2.49 ( ! [X0 : uni] : (~infix_eqeq(int,t2tb(sK8),X0) | ~is_empty(int,X0)) ) | spl30_128), 15.15/2.49 inference(superposition,[],[f3444,f3275])). 15.15/2.49 tff(f3444,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK8),empty(int)) | spl30_128), 15.15/2.49 inference(avatar_component_clause,[],[f3443])). 15.15/2.49 tff(f27199,plain,( 15.15/2.49 ( ! [X24 : ty,X25 : uni] : (infix_eqeq(X24,X25,inter(X24,X25,X25))) )), 15.15/2.49 inference(subsumption_resolution,[],[f27196,f11188])). 15.15/2.49 tff(f11188,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,sK25(X0,X1,inter(X0,X2,X1)),X2) | infix_eqeq(X0,X1,inter(X0,X2,X1))) )), 15.15/2.49 inference(subsumption_resolution,[],[f11175,f1525])). 15.15/2.49 tff(f11175,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,sK25(X0,X1,inter(X0,X2,X1)),X1) | ~mem(X0,sK25(X0,X1,inter(X0,X2,X1)),X2) | infix_eqeq(X0,X1,inter(X0,X2,X1))) )), 15.15/2.49 inference(factoring,[],[f1568])). 15.15/2.49 tff(f1568,plain,( 15.15/2.49 ( ! [X28 : uni,X29 : uni,X27 : ty,X30 : uni] : (~mem(X27,sK25(X27,X28,inter(X27,X29,X30)),X30) | ~mem(X27,sK25(X27,X28,inter(X27,X29,X30)),X28) | ~mem(X27,sK25(X27,X28,inter(X27,X29,X30)),X29) | infix_eqeq(X27,X28,inter(X27,X29,X30))) )), 15.15/2.49 inference(resolution,[],[f379,f419])). 15.15/2.49 tff(f27196,plain,( 15.15/2.49 ( ! [X24 : ty,X25 : uni] : (infix_eqeq(X24,X25,inter(X24,X25,X25)) | mem(X24,sK25(X24,X25,inter(X24,X25,X25)),X25)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f27183])). 15.15/2.49 tff(f27183,plain,( 15.15/2.49 ( ! [X24 : ty,X25 : uni] : (infix_eqeq(X24,X25,inter(X24,X25,X25)) | mem(X24,sK25(X24,X25,inter(X24,X25,X25)),X25) | infix_eqeq(X24,X25,inter(X24,X25,X25))) )), 15.15/2.49 inference(resolution,[],[f11188,f1525])). 15.15/2.49 tff(f27874,plain,( 15.15/2.49 ~spl30_710 | spl30_137), 15.15/2.49 inference(avatar_split_clause,[],[f27853,f3676,f27871])). 15.15/2.49 tff(f27853,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK2),inter(int,t2tb(sK8),t2tb(sK8))) | spl30_137), 15.15/2.49 inference(resolution,[],[f27199,f13128])). 15.15/2.49 tff(f13128,plain,( 15.15/2.49 ( ! [X5 : uni] : (~infix_eqeq(int,t2tb(sK8),X5) | ~infix_eqeq(int,t2tb(sK2),X5)) ) | spl30_137), 15.15/2.49 inference(resolution,[],[f11636,f3303])). 15.15/2.49 tff(f27869,plain,( 15.15/2.49 ~spl30_709 | spl30_137), 15.15/2.49 inference(avatar_split_clause,[],[f27852,f3676,f27866])). 15.15/2.49 tff(f27852,plain,( 15.15/2.49 ~infix_eqeq(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK2)) | spl30_137), 15.15/2.49 inference(resolution,[],[f27199,f13129])). 15.15/2.49 tff(f13129,plain,( 15.15/2.49 ( ! [X6 : uni] : (~infix_eqeq(int,t2tb(sK8),X6) | ~infix_eqeq(int,X6,t2tb(sK2))) ) | spl30_137), 15.15/2.49 inference(resolution,[],[f11636,f3151])). 15.15/2.49 tff(f27864,plain,( 15.15/2.49 ~spl30_708 | spl30_115), 15.15/2.49 inference(avatar_split_clause,[],[f27838,f2516,f27861])). 15.15/2.49 tff(f27861,plain,( 15.15/2.49 spl30_708 <=> is_empty(int,inter(int,t2tb(sK0),t2tb(sK0)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_708])])). 15.15/2.49 tff(f2516,plain,( 15.15/2.49 spl30_115 <=> infix_eqeq(int,t2tb(sK0),empty(int))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_115])])). 15.15/2.49 tff(f27838,plain,( 15.15/2.49 ~is_empty(int,inter(int,t2tb(sK0),t2tb(sK0))) | spl30_115), 15.15/2.49 inference(resolution,[],[f27199,f3309])). 15.15/2.49 tff(f3309,plain,( 15.15/2.49 ( ! [X1 : uni] : (~infix_eqeq(int,t2tb(sK0),X1) | ~is_empty(int,X1)) ) | spl30_115), 15.15/2.49 inference(superposition,[],[f2517,f3275])). 15.15/2.49 tff(f2517,plain,( 15.15/2.49 ~infix_eqeq(int,t2tb(sK0),empty(int)) | spl30_115), 15.15/2.49 inference(avatar_component_clause,[],[f2516])). 15.15/2.49 tff(f27771,plain,( 15.15/2.49 ~spl30_698 | spl30_514), 15.15/2.49 inference(avatar_split_clause,[],[f27756,f22457,f27664])). 15.15/2.49 tff(f27756,plain,( 15.15/2.49 ~mem(int,t2tb1(sK14),union(int,t2tb(sK8),t2tb(sK8))) | spl30_514), 15.15/2.49 inference(resolution,[],[f27143,f22474])). 15.15/2.49 tff(f22474,plain,( 15.15/2.49 ( ! [X3 : uni] : (~infix_eqeq(int,t2tb(sK8),X3) | ~mem(int,t2tb1(sK14),X3)) ) | spl30_514), 15.15/2.49 inference(resolution,[],[f22459,f376])). 15.15/2.49 tff(f27143,plain,( 15.15/2.49 ( ! [X22 : ty,X23 : uni] : (infix_eqeq(X22,X23,union(X22,X23,X23))) )), 15.15/2.49 inference(subsumption_resolution,[],[f27141,f6881])). 15.15/2.49 tff(f6881,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,sK25(X0,X1,union(X0,X2,X1)),X1) | infix_eqeq(X0,X1,union(X0,X2,X1))) )), 15.15/2.49 inference(factoring,[],[f1566])). 15.15/2.49 tff(f1566,plain,( 15.15/2.49 ( ! [X21 : uni,X19 : ty,X22 : uni,X20 : uni] : (~mem(X19,sK25(X19,X20,union(X19,X21,X22)),X22) | ~mem(X19,sK25(X19,X20,union(X19,X21,X22)),X20) | infix_eqeq(X19,X20,union(X19,X21,X22))) )), 15.15/2.49 inference(resolution,[],[f379,f415])). 15.15/2.49 tff(f415,plain,( 15.15/2.49 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X3,union(X0,X1,X2)) | ~mem(X0,X3,X2)) )), 15.15/2.49 inference(cnf_transformation,[],[f257])). 15.15/2.49 tff(f27141,plain,( 15.15/2.49 ( ! [X22 : ty,X23 : uni] : (infix_eqeq(X22,X23,union(X22,X23,X23)) | mem(X22,sK25(X22,X23,union(X22,X23,X23)),X23)) )), 15.15/2.49 inference(duplicate_literal_removal,[],[f27132])). 15.15/2.49 tff(f27132,plain,( 15.15/2.49 ( ! [X22 : ty,X23 : uni] : (infix_eqeq(X22,X23,union(X22,X23,X23)) | mem(X22,sK25(X22,X23,union(X22,X23,X23)),X23) | mem(X22,sK25(X22,X23,union(X22,X23,X23)),X23) | infix_eqeq(X22,X23,union(X22,X23,X23))) )), 15.15/2.49 inference(resolution,[],[f6904,f1523])). 15.15/2.49 tff(f1523,plain,( 15.15/2.49 ( ! [X14 : uni,X15 : uni,X12 : ty,X13 : uni] : (mem(X12,sK25(X12,X13,union(X12,X14,X15)),X15) | mem(X12,sK25(X12,X13,union(X12,X14,X15)),X13) | mem(X12,sK25(X12,X13,union(X12,X14,X15)),X14) | infix_eqeq(X12,X13,union(X12,X14,X15))) )), 15.15/2.49 inference(resolution,[],[f378,f413])). 15.15/2.49 tff(f6904,plain,( 15.15/2.49 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,sK25(X0,X1,union(X0,X1,X2)),X1) | infix_eqeq(X0,X1,union(X0,X1,X2))) )), 15.15/2.49 inference(factoring,[],[f1567])). 15.15/2.49 tff(f1567,plain,( 15.15/2.49 ( ! [X26 : uni,X24 : uni,X25 : uni,X23 : ty] : (~mem(X23,sK25(X23,X24,union(X23,X25,X26)),X25) | ~mem(X23,sK25(X23,X24,union(X23,X25,X26)),X24) | infix_eqeq(X23,X24,union(X23,X25,X26))) )), 15.15/2.49 inference(resolution,[],[f379,f414])). 15.15/2.49 tff(f27770,plain,( 15.15/2.49 ~spl30_697 | spl30_586), 15.15/2.49 inference(avatar_split_clause,[],[f27755,f24116,f27659])). 15.15/2.49 tff(f27755,plain,( 15.15/2.49 ~mem(int,t2tb1(1),union(int,t2tb(sK8),t2tb(sK8))) | spl30_586), 15.15/2.49 inference(resolution,[],[f27143,f24137])). 15.15/2.49 tff(f24137,plain,( 15.15/2.49 ( ! [X3 : uni] : (~infix_eqeq(int,t2tb(sK8),X3) | ~mem(int,t2tb1(1),X3)) ) | spl30_586), 15.15/2.49 inference(resolution,[],[f24118,f376])). 15.15/2.49 tff(f27769,plain,( 15.15/2.49 ~spl30_696 | spl30_137), 15.15/2.49 inference(avatar_split_clause,[],[f27754,f3676,f27654])). 15.15/2.49 tff(f27654,plain,( 15.15/2.49 spl30_696 <=> infix_eqeq(int,union(int,t2tb(sK2),t2tb(sK2)),t2tb(sK8))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_696])])). 15.15/2.49 tff(f27754,plain,( 15.15/2.49 ~infix_eqeq(int,union(int,t2tb(sK2),t2tb(sK2)),t2tb(sK8)) | spl30_137), 15.15/2.49 inference(resolution,[],[f27143,f12969])). 15.15/2.49 tff(f12969,plain,( 15.15/2.49 ( ! [X5 : uni] : (~infix_eqeq(int,t2tb(sK2),X5) | ~infix_eqeq(int,X5,t2tb(sK8))) ) | spl30_137), 15.15/2.49 inference(resolution,[],[f11635,f3303])). 15.15/2.49 tff(f27768,plain,( 15.15/2.49 ~spl30_694 | spl30_187), 15.15/2.49 inference(avatar_split_clause,[],[f27752,f6966,f27644])). 15.15/2.49 tff(f27752,plain,( 15.15/2.49 ~mem(int,t2tb1(sK5),union(int,t2tb(sK1),t2tb(sK1))) | spl30_187), 15.15/2.49 inference(resolution,[],[f27143,f7144])). 15.15/2.49 tff(f7144,plain,( 15.15/2.49 ( ! [X4 : uni] : (~infix_eqeq(int,t2tb(sK1),X4) | ~mem(int,t2tb1(sK5),X4)) ) | spl30_187), 15.15/2.49 inference(resolution,[],[f6967,f376])). 15.15/2.49 tff(f27767,plain,( 15.15/2.49 ~spl30_693 | spl30_193 | ~spl30_398), 15.15/2.49 inference(avatar_split_clause,[],[f27751,f17419,f6990,f27639])). 15.15/2.49 tff(f27751,plain,( 15.15/2.49 ~mem(int,t2tb1(sK7),union(int,t2tb(sK1),t2tb(sK1))) | (spl30_193 | ~spl30_398)), 15.15/2.49 inference(resolution,[],[f27143,f17435])). 15.15/2.49 tff(f17435,plain,( 15.15/2.49 ( ! [X4 : uni] : (~infix_eqeq(int,t2tb(sK1),X4) | ~mem(int,t2tb1(sK7),X4)) ) | (spl30_193 | ~spl30_398)), 15.15/2.49 inference(backward_demodulation,[],[f7517,f17421])). 15.15/2.49 tff(f7517,plain,( 15.15/2.49 ( ! [X4 : uni] : (~infix_eqeq(int,t2tb(sK1),X4) | ~mem(int,t2tb1(sK9),X4)) ) | spl30_193), 15.15/2.49 inference(resolution,[],[f6991,f376])). 15.15/2.49 tff(f27766,plain,( 15.15/2.49 ~spl30_707 | spl30_115), 15.15/2.49 inference(avatar_split_clause,[],[f27745,f2516,f27763])). 15.15/2.49 tff(f27763,plain,( 15.15/2.49 spl30_707 <=> is_empty(int,union(int,t2tb(sK0),t2tb(sK0)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_707])])). 15.15/2.49 tff(f27745,plain,( 15.15/2.49 ~is_empty(int,union(int,t2tb(sK0),t2tb(sK0))) | spl30_115), 15.15/2.49 inference(resolution,[],[f27143,f3309])). 15.15/2.49 tff(f27719,plain,( 15.15/2.49 spl30_466 | ~spl30_291), 15.15/2.49 inference(avatar_split_clause,[],[f27690,f10951,f20077])). 15.15/2.49 tff(f20077,plain,( 15.15/2.49 spl30_466 <=> ! [X139 : $int,X140 : $int] : (sK15 != $sum($sum(X139,X140),$uminus(sK16)) | $less(X139,0) | mem(int,t2tb1(X139),t2tb(sK2)) | sK5 != X140)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_466])])). 15.15/2.49 tff(f10951,plain,( 15.15/2.49 spl30_291 <=> ! [X2 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | $less(X2,0) | mem(int,t2tb1(X2),t2tb(sK2)) | $sum($sum(X2,X1),$uminus(sK16)) != X0 | sK5 != X1)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_291])])). 15.15/2.49 tff(f27690,plain,( 15.15/2.49 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | mem(int,t2tb1(X0),t2tb(sK2)) | sK15 != $sum($sum(X0,X1),$uminus(sK16)) | sK5 != X1) ) | ~spl30_291), 15.15/2.49 inference(equality_resolution,[],[f10952])). 15.15/2.49 tff(f10952,plain,( 15.15/2.49 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($sum(X2,X1),$uminus(sK16)) != X0 | $less(X2,0) | mem(int,t2tb1(X2),t2tb(sK2)) | sK15 != X0 | sK5 != X1) ) | ~spl30_291), 15.15/2.49 inference(avatar_component_clause,[],[f10951])). 15.15/2.49 tff(f27718,plain,( 15.15/2.49 ~spl30_705 | spl30_209 | spl30_706 | ~spl30_78 | ~spl30_291), 15.15/2.49 inference(avatar_split_clause,[],[f27689,f10951,f1847,f27716,f7080,f27712])). 15.15/2.49 tff(f27712,plain,( 15.15/2.49 spl30_705 <=> cardinal1(int,t2tb(sK0)) = $uminus(sK16)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_705])])). 15.15/2.49 tff(f7080,plain,( 15.15/2.49 spl30_209 <=> ! [X4 : $int,X3 : $int] : (sK5 != X4 | mem(int,t2tb1(X3),t2tb(sK2)) | sK5 != $sum(X3,X4) | $less(X3,0))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_209])])). 15.15/2.49 tff(f27716,plain,( 15.15/2.49 spl30_706 <=> ! [X9 : $int] : (n1 != X9 | sK15 != X9)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_706])])). 15.15/2.49 tff(f1847,plain,( 15.15/2.49 spl30_78 <=> n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_78])])). 15.15/2.49 tff(f27689,plain,( 15.15/2.49 ( ! [X6 : $int,X9 : $int,X7 : $int] : (n1 != X9 | $less(X6,0) | mem(int,t2tb1(X6),t2tb(sK2)) | sK15 != X9 | sK5 != X7 | sK5 != $sum(X6,X7) | cardinal1(int,t2tb(sK0)) != $uminus(sK16)) ) | (~spl30_78 | ~spl30_291)), 15.15/2.49 inference(constrained_superposition,[],[f10952,f1849])). 15.15/2.49 tff(f1849,plain,( 15.15/2.49 n1 = $sum(sK5,cardinal1(int,t2tb(sK0))) | ~spl30_78), 15.15/2.49 inference(avatar_component_clause,[],[f1847])). 15.15/2.49 tff(f27710,plain,( 15.15/2.49 ~spl30_703 | spl30_209 | spl30_704 | ~spl30_30 | ~spl30_291), 15.15/2.49 inference(avatar_split_clause,[],[f27688,f10951,f697,f27708,f7080,f27704])). 15.15/2.49 tff(f27704,plain,( 15.15/2.49 spl30_703 <=> 1 = $uminus(sK16)), 15.15/2.49 introduced(avatar_definition,[new_symbols(naming,[spl30_703])])). 15.15/2.49 tff(f27708,plain,( 15.15/2.49 spl30_704 <=> ! [X8 : $int] : (sK14 != X8 | sK15 != X8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_704])])). 15.15/2.50 tff(f697,plain,( 15.15/2.50 spl30_30 <=> sK14 = $sum(sK5,1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_30])])). 15.15/2.50 tff(f27688,plain,( 15.15/2.50 ( ! [X8 : $int,X6 : $int,X7 : $int] : (sK14 != X8 | $less(X6,0) | mem(int,t2tb1(X6),t2tb(sK2)) | sK15 != X8 | sK5 != X7 | sK5 != $sum(X6,X7) | 1 != $uminus(sK16)) ) | (~spl30_30 | ~spl30_291)), 15.15/2.50 inference(constrained_superposition,[],[f10952,f699])). 15.15/2.50 tff(f699,plain,( 15.15/2.50 sK14 = $sum(sK5,1) | ~spl30_30), 15.15/2.50 inference(avatar_component_clause,[],[f697])). 15.15/2.50 tff(f27702,plain,( 15.15/2.50 spl30_701 | spl30_702 | ~spl30_291), 15.15/2.50 inference(avatar_split_clause,[],[f27687,f10951,f27700,f27697])). 15.15/2.50 tff(f27697,plain,( 15.15/2.50 spl30_701 <=> ! [X0 : $int,X1 : $int] : ($less(X0,0) | 1 != $sum(X0,X1) | sK5 != X1 | mem(int,t2tb1(X0),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_701])])). 15.15/2.50 tff(f27700,plain,( 15.15/2.50 spl30_702 <=> ! [X3 : uni,X4 : uni,X5 : $int,X2 : ty] : (cardinal1(X2,X4) != X5 | cardinal1(X2,remove(X2,X3,X4)) != $uminus(sK16) | ~mem(X2,X3,X4) | sK15 != X5)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_702])])). 15.15/2.50 tff(f27687,plain,( 15.15/2.50 ( ! [X2 : ty,X3 : uni,X0 : $int,X1 : $int,X4 : uni,X5 : $int] : (cardinal1(X2,X4) != X5 | $less(X0,0) | mem(int,t2tb1(X0),t2tb(sK2)) | sK15 != X5 | sK5 != X1 | ~mem(X2,X3,X4) | 1 != $sum(X0,X1) | cardinal1(X2,remove(X2,X3,X4)) != $uminus(sK16)) ) | ~spl30_291), 15.15/2.50 inference(constrained_superposition,[],[f10952,f4341])). 15.15/2.50 tff(f4341,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))) | ~mem(X0,X1,X2)) )), 15.15/2.50 inference(equality_resolution,[],[f1744])). 15.15/2.50 tff(f1744,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,X1) != X2 | $sum(1,cardinal1(X0,remove(X0,X3,X1))) = X2 | ~mem(X0,X3,X1)) )), 15.15/2.50 inference(equality_resolution,[],[f478])). 15.15/2.50 tff(f478,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (cardinal1(X0,remove(X0,X1,X2)) != X4 | cardinal1(X0,X2) != X3 | $sum(1,X4) = X3 | ~mem(X0,X1,X2)) )), 15.15/2.50 inference(theory_flattening,[],[f396])). 15.15/2.50 tff(f396,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))) | ~mem(X0,X1,X2)) )), 15.15/2.50 inference(cnf_transformation,[],[f192])). 15.15/2.50 tff(f192,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : (cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))) | ~mem(X0,X1,X2))), 15.15/2.50 inference(ennf_transformation,[],[f75])). 15.15/2.50 tff(f75,axiom,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) => cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal_remove)). 15.15/2.50 tff(f27695,plain,( 15.15/2.50 spl30_615 | spl30_700 | ~spl30_291), 15.15/2.50 inference(avatar_split_clause,[],[f27691,f10951,f27693,f25883])). 15.15/2.50 tff(f25883,plain,( 15.15/2.50 spl30_615 <=> mem(int,t2tb1(1),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_615])])). 15.15/2.50 tff(f27693,plain,( 15.15/2.50 spl30_700 <=> ! [X3 : uni,X4 : uni,X5 : $int,X2 : ty] : ($sum(cardinal1(X2,X4),$uminus(sK16)) != X5 | ~mem(X2,X3,X4) | sK5 != cardinal1(X2,remove(X2,X3,X4)) | sK15 != X5)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_700])])). 15.15/2.50 tff(f27691,plain,( 15.15/2.50 ( ! [X2 : ty,X3 : uni,X4 : uni,X5 : $int] : ($sum(cardinal1(X2,X4),$uminus(sK16)) != X5 | mem(int,t2tb1(1),t2tb(sK2)) | sK15 != X5 | sK5 != cardinal1(X2,remove(X2,X3,X4)) | ~mem(X2,X3,X4)) ) | ~spl30_291), 15.15/2.50 inference(evaluation,[],[f27686])). 15.15/2.50 tff(f27686,plain,( 15.15/2.50 ( ! [X2 : ty,X3 : uni,X4 : uni,X5 : $int] : ($sum(cardinal1(X2,X4),$uminus(sK16)) != X5 | $less(1,0) | mem(int,t2tb1(1),t2tb(sK2)) | sK15 != X5 | sK5 != cardinal1(X2,remove(X2,X3,X4)) | ~mem(X2,X3,X4)) ) | ~spl30_291), 15.15/2.50 inference(superposition,[],[f10952,f4341])). 15.15/2.50 tff(f27683,plain,( 15.15/2.50 ~spl30_699 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f27674,f3676,f27680])). 15.15/2.50 tff(f27674,plain,( 15.15/2.50 ~subset(int,inter(int,t2tb(sK8),t2tb(sK8)),t2tb(sK2)) | spl30_137), 15.15/2.50 inference(resolution,[],[f26954,f3722])). 15.15/2.50 tff(f27667,plain,( 15.15/2.50 ~spl30_698 | spl30_514), 15.15/2.50 inference(avatar_split_clause,[],[f27637,f22457,f27664])). 15.15/2.50 tff(f27637,plain,( 15.15/2.50 ~mem(int,t2tb1(sK14),union(int,t2tb(sK8),t2tb(sK8))) | spl30_514), 15.15/2.50 inference(resolution,[],[f26915,f22473])). 15.15/2.50 tff(f27662,plain,( 15.15/2.50 ~spl30_697 | spl30_586), 15.15/2.50 inference(avatar_split_clause,[],[f27636,f24116,f27659])). 15.15/2.50 tff(f27636,plain,( 15.15/2.50 ~mem(int,t2tb1(1),union(int,t2tb(sK8),t2tb(sK8))) | spl30_586), 15.15/2.50 inference(resolution,[],[f26915,f24136])). 15.15/2.50 tff(f27657,plain,( 15.15/2.50 ~spl30_696 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f27635,f3676,f27654])). 15.15/2.50 tff(f27635,plain,( 15.15/2.50 ~infix_eqeq(int,union(int,t2tb(sK2),t2tb(sK2)),t2tb(sK8)) | spl30_137), 15.15/2.50 inference(resolution,[],[f26915,f11635])). 15.15/2.50 tff(f27652,plain,( 15.15/2.50 ~spl30_695 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f27634,f3676,f27649])). 15.15/2.50 tff(f27634,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK8),union(int,t2tb(sK2),t2tb(sK2))) | spl30_137), 15.15/2.50 inference(resolution,[],[f26915,f11636])). 15.15/2.50 tff(f27647,plain,( 15.15/2.50 ~spl30_694 | spl30_187), 15.15/2.50 inference(avatar_split_clause,[],[f27632,f6966,f27644])). 15.15/2.50 tff(f27632,plain,( 15.15/2.50 ~mem(int,t2tb1(sK5),union(int,t2tb(sK1),t2tb(sK1))) | spl30_187), 15.15/2.50 inference(resolution,[],[f26915,f7143])). 15.15/2.50 tff(f27642,plain,( 15.15/2.50 ~spl30_693 | spl30_193 | ~spl30_398), 15.15/2.50 inference(avatar_split_clause,[],[f27631,f17419,f6990,f27639])). 15.15/2.50 tff(f27631,plain,( 15.15/2.50 ~mem(int,t2tb1(sK7),union(int,t2tb(sK1),t2tb(sK1))) | (spl30_193 | ~spl30_398)), 15.15/2.50 inference(resolution,[],[f26915,f17434])). 15.15/2.50 tff(f27347,plain,( 15.15/2.50 spl30_467 | ~spl30_89), 15.15/2.50 inference(avatar_split_clause,[],[f27319,f1970,f20083])). 15.15/2.50 tff(f20083,plain,( 15.15/2.50 spl30_467 <=> ! [X144 : $int,X143 : $int] : (sK15 != $sum($sum(X143,sK16),$uminus(X144)) | $less(X143,0) | mem(int,t2tb1(X143),t2tb(sK1)) | sK5 != X144)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_467])])). 15.15/2.50 tff(f1970,plain,( 15.15/2.50 spl30_89 <=> ! [X2 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | $less(X2,0) | mem(int,t2tb1(X2),t2tb(sK1)) | $sum($sum(X2,sK16),$uminus(X1)) != X0 | sK5 != X1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_89])])). 15.15/2.50 tff(f27319,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : ($less(X0,0) | mem(int,t2tb1(X0),t2tb(sK1)) | sK15 != $sum($sum(X0,sK16),$uminus(X1)) | sK5 != X1) ) | ~spl30_89), 15.15/2.50 inference(equality_resolution,[],[f1971])). 15.15/2.50 tff(f1971,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($sum(X2,sK16),$uminus(X1)) != X0 | $less(X2,0) | mem(int,t2tb1(X2),t2tb(sK1)) | sK15 != X0 | sK5 != X1) ) | ~spl30_89), 15.15/2.50 inference(avatar_component_clause,[],[f1970])). 15.15/2.50 tff(f27346,plain,( 15.15/2.50 spl30_691 | spl30_692 | ~spl30_89), 15.15/2.50 inference(avatar_split_clause,[],[f27316,f1970,f27344,f27341])). 15.15/2.50 tff(f27341,plain,( 15.15/2.50 spl30_691 <=> ! [X0 : $int] : ($less(X0,0) | 1 != $sum(X0,sK16) | mem(int,t2tb1(X0),t2tb(sK1)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_691])])). 15.15/2.50 tff(f27344,plain,( 15.15/2.50 spl30_692 <=> ! [X3 : uni,X4 : uni,X5 : $int,X2 : ty,X1 : $int] : (cardinal1(X2,X4) != X5 | cardinal1(X2,remove(X2,X3,X4)) != $uminus(X1) | ~mem(X2,X3,X4) | sK5 != X1 | sK15 != X5)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_692])])). 15.15/2.50 tff(f27316,plain,( 15.15/2.50 ( ! [X2 : ty,X3 : uni,X0 : $int,X1 : $int,X4 : uni,X5 : $int] : (cardinal1(X2,X4) != X5 | $less(X0,0) | mem(int,t2tb1(X0),t2tb(sK1)) | sK15 != X5 | sK5 != X1 | ~mem(X2,X3,X4) | 1 != $sum(X0,sK16) | cardinal1(X2,remove(X2,X3,X4)) != $uminus(X1)) ) | ~spl30_89), 15.15/2.50 inference(constrained_superposition,[],[f1971,f4341])). 15.15/2.50 tff(f27339,plain,( 15.15/2.50 ~spl30_689 | spl30_690 | spl30_21 | ~spl30_78 | ~spl30_89 | spl30_187), 15.15/2.50 inference(avatar_split_clause,[],[f27331,f6966,f1970,f1847,f609,f27337,f27333])). 15.15/2.50 tff(f27333,plain,( 15.15/2.50 spl30_689 <=> cardinal1(int,t2tb(sK0)) = sK16), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_689])])). 15.15/2.50 tff(f27337,plain,( 15.15/2.50 spl30_690 <=> ! [X2 : $int,X3 : $int] : ($sum(n1,$uminus(X2)) != X3 | sK5 != X2 | sK15 != X3)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_690])])). 15.15/2.50 tff(f609,plain,( 15.15/2.50 spl30_21 <=> $less(sK5,0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_21])])). 15.15/2.50 tff(f27331,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : ($sum(n1,$uminus(X2)) != X3 | sK15 != X3 | sK5 != X2 | cardinal1(int,t2tb(sK0)) != sK16) ) | (spl30_21 | ~spl30_78 | ~spl30_89 | spl30_187)), 15.15/2.50 inference(subsumption_resolution,[],[f27330,f6967])). 15.15/2.50 tff(f27330,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : ($sum(n1,$uminus(X2)) != X3 | mem(int,t2tb1(sK5),t2tb(sK1)) | sK15 != X3 | sK5 != X2 | cardinal1(int,t2tb(sK0)) != sK16) ) | (spl30_21 | ~spl30_78 | ~spl30_89)), 15.15/2.50 inference(subsumption_resolution,[],[f27315,f611])). 15.15/2.50 tff(f611,plain,( 15.15/2.50 ~$less(sK5,0) | spl30_21), 15.15/2.50 inference(avatar_component_clause,[],[f609])). 15.15/2.50 tff(f27315,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : ($sum(n1,$uminus(X2)) != X3 | $less(sK5,0) | mem(int,t2tb1(sK5),t2tb(sK1)) | sK15 != X3 | sK5 != X2 | cardinal1(int,t2tb(sK0)) != sK16) ) | (~spl30_78 | ~spl30_89)), 15.15/2.50 inference(constrained_superposition,[],[f1971,f1849])). 15.15/2.50 tff(f27329,plain,( 15.15/2.50 ~spl30_687 | spl30_688 | spl30_21 | ~spl30_30 | ~spl30_89 | spl30_187), 15.15/2.50 inference(avatar_split_clause,[],[f27321,f6966,f1970,f697,f609,f27327,f27323])). 15.15/2.50 tff(f27323,plain,( 15.15/2.50 spl30_687 <=> 1 = sK16), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_687])])). 15.15/2.50 tff(f27327,plain,( 15.15/2.50 spl30_688 <=> ! [X0 : $int,X1 : $int] : ($sum(sK14,$uminus(X0)) != X1 | sK5 != X0 | sK15 != X1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_688])])). 15.15/2.50 tff(f27321,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : ($sum(sK14,$uminus(X0)) != X1 | sK15 != X1 | sK5 != X0 | 1 != sK16) ) | (spl30_21 | ~spl30_30 | ~spl30_89 | spl30_187)), 15.15/2.50 inference(subsumption_resolution,[],[f27320,f6967])). 15.15/2.50 tff(f27320,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : ($sum(sK14,$uminus(X0)) != X1 | mem(int,t2tb1(sK5),t2tb(sK1)) | sK15 != X1 | sK5 != X0 | 1 != sK16) ) | (spl30_21 | ~spl30_30 | ~spl30_89)), 15.15/2.50 inference(subsumption_resolution,[],[f27314,f611])). 15.15/2.50 tff(f27314,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : ($sum(sK14,$uminus(X0)) != X1 | $less(sK5,0) | mem(int,t2tb1(sK5),t2tb(sK1)) | sK15 != X1 | sK5 != X0 | 1 != sK16) ) | (~spl30_30 | ~spl30_89)), 15.15/2.50 inference(constrained_superposition,[],[f1971,f699])). 15.15/2.50 tff(f27284,plain,( 15.15/2.50 spl30_145 | spl30_115 | ~spl30_674), 15.15/2.50 inference(avatar_split_clause,[],[f27283,f26723,f2516,f4280])). 15.15/2.50 tff(f26723,plain,( 15.15/2.50 spl30_674 <=> is_empty(int,union(int,t2tb(sK0),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_674])])). 15.15/2.50 tff(f27283,plain,( 15.15/2.50 ( ! [X16 : uni] : (~is_empty(int,X16)) ) | (spl30_115 | ~spl30_674)), 15.15/2.50 inference(subsumption_resolution,[],[f27235,f3309])). 15.15/2.50 tff(f27235,plain,( 15.15/2.50 ( ! [X16 : uni] : (infix_eqeq(int,t2tb(sK0),X16) | ~is_empty(int,X16)) ) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f27206,f1519])). 15.15/2.50 tff(f1519,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK25(X0,X1,X2),X1) | infix_eqeq(X0,X1,X2) | ~is_empty(X0,X2)) )), 15.15/2.50 inference(resolution,[],[f378,f332])). 15.15/2.50 tff(f27206,plain,( 15.15/2.50 ( ! [X2 : uni] : (~mem(int,X2,t2tb(sK0))) ) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f26725,f920])). 15.15/2.50 tff(f26725,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK0),empty(int))) | ~spl30_674), 15.15/2.50 inference(avatar_component_clause,[],[f26723])). 15.15/2.50 tff(f27282,plain,( 15.15/2.50 spl30_115 | ~spl30_674), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27281])). 15.15/2.50 tff(f27281,plain,( 15.15/2.50 $false | (spl30_115 | ~spl30_674)), 15.15/2.50 inference(subsumption_resolution,[],[f27234,f2517])). 15.15/2.50 tff(f27234,plain,( 15.15/2.50 infix_eqeq(int,t2tb(sK0),empty(int)) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f27206,f1520])). 15.15/2.50 tff(f27280,plain,( 15.15/2.50 spl30_11 | ~spl30_674), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27279])). 15.15/2.50 tff(f27279,plain,( 15.15/2.50 $false | (spl30_11 | ~spl30_674)), 15.15/2.50 inference(subsumption_resolution,[],[f27230,f541])). 15.15/2.50 tff(f541,plain,( 15.15/2.50 ~is_empty(int,t2tb(sK0)) | spl30_11), 15.15/2.50 inference(avatar_component_clause,[],[f539])). 15.15/2.50 tff(f539,plain,( 15.15/2.50 spl30_11 <=> is_empty(int,t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_11])])). 15.15/2.50 tff(f27230,plain,( 15.15/2.50 is_empty(int,t2tb(sK0)) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f27206,f334])). 15.15/2.50 tff(f27278,plain,( 15.15/2.50 spl30_11 | ~spl30_674), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27277])). 15.15/2.50 tff(f27277,plain,( 15.15/2.50 $false | (spl30_11 | ~spl30_674)), 15.15/2.50 inference(subsumption_resolution,[],[f27226,f541])). 15.15/2.50 tff(f27226,plain,( 15.15/2.50 is_empty(int,t2tb(sK0)) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f27206,f335])). 15.15/2.50 tff(f27276,plain,( 15.15/2.50 spl30_93 | ~spl30_6 | ~spl30_674), 15.15/2.50 inference(avatar_split_clause,[],[f27224,f26723,f514,f2018])). 15.15/2.50 tff(f2018,plain,( 15.15/2.50 spl30_93 <=> ! [X35 : uni] : ~mem(int,X35,t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_93])])). 15.15/2.50 tff(f27224,plain,( 15.15/2.50 ( ! [X11 : uni] : (~mem(int,X11,t2tb(sK8))) ) | (~spl30_6 | ~spl30_674)), 15.15/2.50 inference(resolution,[],[f27206,f16347])). 15.15/2.50 tff(f16347,plain,( 15.15/2.50 ( ! [X6 : uni] : (mem(int,X6,t2tb(sK0)) | ~mem(int,X6,t2tb(sK8))) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f3461,f417])). 15.15/2.50 tff(f3461,plain,( 15.15/2.50 ( ! [X47 : uni] : (mem(int,X47,diff(int,t2tb(sK0),t2tb(sK1))) | ~mem(int,X47,t2tb(sK8))) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f1074,f516])). 15.15/2.50 tff(f1074,plain,( 15.15/2.50 ( ! [X28 : uni,X29 : uni,X26 : ty,X27 : uni,X30 : uni] : (~subset(X26,X28,diff(X26,X29,X30)) | ~mem(X26,X27,X28) | mem(X26,X27,X29)) )), 15.15/2.50 inference(resolution,[],[f380,f417])). 15.15/2.50 tff(f27275,plain,( 15.15/2.50 spl30_11 | ~spl30_674), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27274])). 15.15/2.50 tff(f27274,plain,( 15.15/2.50 $false | (spl30_11 | ~spl30_674)), 15.15/2.50 inference(subsumption_resolution,[],[f27217,f541])). 15.15/2.50 tff(f27217,plain,( 15.15/2.50 is_empty(int,t2tb(sK0)) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f27206,f879])). 15.15/2.50 tff(f27273,plain,( 15.15/2.50 spl30_11 | ~spl30_674), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27272])). 15.15/2.50 tff(f27272,plain,( 15.15/2.50 $false | (spl30_11 | ~spl30_674)), 15.15/2.50 inference(subsumption_resolution,[],[f27214,f541])). 15.15/2.50 tff(f27214,plain,( 15.15/2.50 is_empty(int,t2tb(sK0)) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f27206,f845])). 15.15/2.50 tff(f27269,plain,( 15.15/2.50 spl30_11 | ~spl30_674), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27268])). 15.15/2.50 tff(f27268,plain,( 15.15/2.50 $false | (spl30_11 | ~spl30_674)), 15.15/2.50 inference(subsumption_resolution,[],[f27211,f541])). 15.15/2.50 tff(f27211,plain,( 15.15/2.50 is_empty(int,t2tb(sK0)) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f27206,f324])). 15.15/2.50 tff(f27267,plain,( 15.15/2.50 spl30_11 | ~spl30_674), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27266])). 15.15/2.50 tff(f27266,plain,( 15.15/2.50 $false | (spl30_11 | ~spl30_674)), 15.15/2.50 inference(subsumption_resolution,[],[f27210,f541])). 15.15/2.50 tff(f27210,plain,( 15.15/2.50 is_empty(int,t2tb(sK0)) | ~spl30_674), 15.15/2.50 inference(resolution,[],[f27206,f323])). 15.15/2.50 tff(f27265,plain,( 15.15/2.50 ~spl30_61 | ~spl30_674), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27208])). 15.15/2.50 tff(f27208,plain,( 15.15/2.50 $false | (~spl30_61 | ~spl30_674)), 15.15/2.50 inference(resolution,[],[f27206,f1433])). 15.15/2.50 tff(f27123,plain,( 15.15/2.50 spl30_5 | spl30_366), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27122])). 15.15/2.50 tff(f27122,plain,( 15.15/2.50 $false | (spl30_5 | spl30_366)), 15.15/2.50 inference(subsumption_resolution,[],[f27121,f511])). 15.15/2.50 tff(f511,plain,( 15.15/2.50 ~is_empty(int,t2tb(sK8)) | spl30_5), 15.15/2.50 inference(avatar_component_clause,[],[f509])). 15.15/2.50 tff(f509,plain,( 15.15/2.50 spl30_5 <=> is_empty(int,t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_5])])). 15.15/2.50 tff(f27121,plain,( 15.15/2.50 is_empty(int,t2tb(sK8)) | spl30_366), 15.15/2.50 inference(subsumption_resolution,[],[f27100,f309])). 15.15/2.50 tff(f27100,plain,( 15.15/2.50 sK8 != tb2t(t2tb(sK8)) | is_empty(int,t2tb(sK8)) | spl30_366), 15.15/2.50 inference(constrained_resolution,[],[f16380,f845])). 15.15/2.50 tff(f16380,plain,( 15.15/2.50 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK8)) | spl30_366), 15.15/2.50 inference(avatar_component_clause,[],[f16378])). 15.15/2.50 tff(f16378,plain,( 15.15/2.50 spl30_366 <=> mem(int,t2tb1(max_elt1(sK8)),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_366])])). 15.15/2.50 tff(f27120,plain,( 15.15/2.50 ~spl30_685 | spl30_5 | spl30_366), 15.15/2.50 inference(avatar_split_clause,[],[f27119,f16378,f509,f26979])). 15.15/2.50 tff(f26979,plain,( 15.15/2.50 spl30_685 <=> min_elt1(sK8) = max_elt1(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_685])])). 15.15/2.50 tff(f27119,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK8) | (spl30_5 | spl30_366)), 15.15/2.50 inference(forward_demodulation,[],[f27118,f309])). 15.15/2.50 tff(f27118,plain,( 15.15/2.50 max_elt1(sK8) != min_elt1(tb2t(t2tb(sK8))) | (spl30_5 | spl30_366)), 15.15/2.50 inference(subsumption_resolution,[],[f27097,f511])). 15.15/2.50 tff(f27097,plain,( 15.15/2.50 max_elt1(sK8) != min_elt1(tb2t(t2tb(sK8))) | is_empty(int,t2tb(sK8)) | spl30_366), 15.15/2.50 inference(constrained_resolution,[],[f16380,f879])). 15.15/2.50 tff(f27115,plain,( 15.15/2.50 spl30_5 | spl30_366), 15.15/2.50 inference(avatar_contradiction_clause,[],[f27114])). 15.15/2.50 tff(f27114,plain,( 15.15/2.50 $false | (spl30_5 | spl30_366)), 15.15/2.50 inference(subsumption_resolution,[],[f27094,f511])). 15.15/2.50 tff(f27094,plain,( 15.15/2.50 is_empty(int,t2tb(sK8)) | spl30_366), 15.15/2.50 inference(resolution,[],[f16380,f323])). 15.15/2.50 tff(f27113,plain,( 15.15/2.50 ~spl30_685 | spl30_5 | spl30_366), 15.15/2.50 inference(avatar_split_clause,[],[f27112,f16378,f509,f26979])). 15.15/2.50 tff(f27112,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK8) | (spl30_5 | spl30_366)), 15.15/2.50 inference(subsumption_resolution,[],[f27093,f511])). 15.15/2.50 tff(f27093,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK8) | is_empty(int,t2tb(sK8)) | spl30_366), 15.15/2.50 inference(constrained_resolution,[],[f16380,f324])). 15.15/2.50 tff(f27111,plain,( 15.15/2.50 ~spl30_685 | spl30_366 | ~spl30_521), 15.15/2.50 inference(avatar_split_clause,[],[f27092,f22752,f16378,f26979])). 15.15/2.50 tff(f22752,plain,( 15.15/2.50 spl30_521 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_521])])). 15.15/2.50 tff(f27092,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK8) | (spl30_366 | ~spl30_521)), 15.15/2.50 inference(constrained_resolution,[],[f16380,f22754])). 15.15/2.50 tff(f22754,plain,( 15.15/2.50 mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8)) | ~spl30_521), 15.15/2.50 inference(avatar_component_clause,[],[f22752])). 15.15/2.50 tff(f27065,plain,( 15.15/2.50 ~spl30_686 | ~spl30_521), 15.15/2.50 inference(avatar_split_clause,[],[f27046,f22752,f27062])). 15.15/2.50 tff(f27062,plain,( 15.15/2.50 spl30_686 <=> $less(max_elt1(sK8),min_elt1(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_686])])). 15.15/2.50 tff(f27046,plain,( 15.15/2.50 ~$less(max_elt1(sK8),min_elt1(sK8)) | ~spl30_521), 15.15/2.50 inference(resolution,[],[f22754,f1478])). 15.15/2.50 tff(f26992,plain,( 15.15/2.50 spl30_5 | spl30_521), 15.15/2.50 inference(avatar_contradiction_clause,[],[f26991])). 15.15/2.50 tff(f26991,plain,( 15.15/2.50 $false | (spl30_5 | spl30_521)), 15.15/2.50 inference(subsumption_resolution,[],[f26990,f511])). 15.15/2.50 tff(f26990,plain,( 15.15/2.50 is_empty(int,t2tb(sK8)) | spl30_521), 15.15/2.50 inference(subsumption_resolution,[],[f26966,f309])). 15.15/2.50 tff(f26966,plain,( 15.15/2.50 sK8 != tb2t(t2tb(sK8)) | is_empty(int,t2tb(sK8)) | spl30_521), 15.15/2.50 inference(constrained_resolution,[],[f22753,f879])). 15.15/2.50 tff(f22753,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8)) | spl30_521), 15.15/2.50 inference(avatar_component_clause,[],[f22752])). 15.15/2.50 tff(f26989,plain,( 15.15/2.50 ~spl30_685 | spl30_5 | spl30_521), 15.15/2.50 inference(avatar_split_clause,[],[f26988,f22752,f509,f26979])). 15.15/2.50 tff(f26988,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK8) | (spl30_5 | spl30_521)), 15.15/2.50 inference(forward_demodulation,[],[f26987,f309])). 15.15/2.50 tff(f26987,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(tb2t(t2tb(sK8))) | (spl30_5 | spl30_521)), 15.15/2.50 inference(subsumption_resolution,[],[f26963,f511])). 15.15/2.50 tff(f26963,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(tb2t(t2tb(sK8))) | is_empty(int,t2tb(sK8)) | spl30_521), 15.15/2.50 inference(constrained_resolution,[],[f22753,f845])). 15.15/2.50 tff(f26984,plain,( 15.15/2.50 spl30_5 | spl30_521), 15.15/2.50 inference(avatar_contradiction_clause,[],[f26983])). 15.15/2.50 tff(f26983,plain,( 15.15/2.50 $false | (spl30_5 | spl30_521)), 15.15/2.50 inference(subsumption_resolution,[],[f26960,f511])). 15.15/2.50 tff(f26960,plain,( 15.15/2.50 is_empty(int,t2tb(sK8)) | spl30_521), 15.15/2.50 inference(resolution,[],[f22753,f324])). 15.15/2.50 tff(f26982,plain,( 15.15/2.50 ~spl30_685 | spl30_5 | spl30_521), 15.15/2.50 inference(avatar_split_clause,[],[f26977,f22752,f509,f26979])). 15.15/2.50 tff(f26977,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK8) | (spl30_5 | spl30_521)), 15.15/2.50 inference(subsumption_resolution,[],[f26959,f511])). 15.15/2.50 tff(f26959,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK8) | is_empty(int,t2tb(sK8)) | spl30_521), 15.15/2.50 inference(constrained_resolution,[],[f22753,f323])). 15.15/2.50 tff(f26852,plain,( 15.15/2.50 ~spl30_684 | spl30_137 | ~spl30_140), 15.15/2.50 inference(avatar_split_clause,[],[f26842,f3689,f3676,f26849])). 15.15/2.50 tff(f26849,plain,( 15.15/2.50 spl30_684 <=> infix_eqeq(int,t2tb(sK0),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_684])])). 15.15/2.50 tff(f26842,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK0),t2tb(sK8)) | (spl30_137 | ~spl30_140)), 15.15/2.50 inference(resolution,[],[f3690,f11635])). 15.15/2.50 tff(f3690,plain,( 15.15/2.50 subset(int,t2tb(sK0),t2tb(sK2)) | ~spl30_140), 15.15/2.50 inference(avatar_component_clause,[],[f3689])). 15.15/2.50 tff(f26838,plain,( 15.15/2.50 ~spl30_683 | ~spl30_6 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f26833,f3676,f514,f26835])). 15.15/2.50 tff(f26835,plain,( 15.15/2.50 spl30_683 <=> mem(int,choose(int,union(int,t2tb(sK8),empty(int))),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_683])])). 15.15/2.50 tff(f26833,plain,( 15.15/2.50 ~mem(int,choose(int,union(int,t2tb(sK8),empty(int))),t2tb(sK2)) | (~spl30_6 | spl30_137)), 15.15/2.50 inference(subsumption_resolution,[],[f26788,f11733])). 15.15/2.50 tff(f26788,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK8),empty(int))) | ~mem(int,choose(int,union(int,t2tb(sK8),empty(int))),t2tb(sK2)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f5774,f3388])). 15.15/2.50 tff(f3388,plain,( 15.15/2.50 ( ! [X47 : uni] : (~mem(int,X47,t2tb(sK8)) | ~mem(int,X47,t2tb(sK2))) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f1073,f516])). 15.15/2.50 tff(f1073,plain,( 15.15/2.50 ( ! [X21 : ty,X24 : uni,X22 : uni,X25 : uni,X23 : uni] : (~subset(X21,X23,diff(X21,X24,X25)) | ~mem(X21,X22,X23) | ~mem(X21,X22,X25)) )), 15.15/2.50 inference(resolution,[],[f380,f418])). 15.15/2.50 tff(f26832,plain,( 15.15/2.50 ~spl30_682 | ~spl30_6 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f26827,f3676,f514,f26829])). 15.15/2.50 tff(f26829,plain,( 15.15/2.50 spl30_682 <=> $less(tb2t1(choose(int,union(int,t2tb(sK8),empty(int)))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_682])])). 15.15/2.50 tff(f26827,plain,( 15.15/2.50 ~$less(tb2t1(choose(int,union(int,t2tb(sK8),empty(int)))),0) | (~spl30_6 | spl30_137)), 15.15/2.50 inference(subsumption_resolution,[],[f26787,f11733])). 15.15/2.50 tff(f26787,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK8),empty(int))) | ~$less(tb2t1(choose(int,union(int,t2tb(sK8),empty(int)))),0) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f5774,f16343])). 15.15/2.50 tff(f16343,plain,( 15.15/2.50 ( ! [X3 : uni] : (~mem(int,X3,t2tb(sK8)) | ~$less(tb2t1(X3),0)) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f3461,f1173])). 15.15/2.50 tff(f1173,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : uni] : (~mem(int,X0,diff(int,t2tb(sK0),X1)) | ~$less(tb2t1(X0),0)) )), 15.15/2.50 inference(superposition,[],[f1148,f315])). 15.15/2.50 tff(f1148,plain,( 15.15/2.50 ( ! [X11 : $int,X12 : uni] : (~mem(int,t2tb1(X11),diff(int,t2tb(sK0),X12)) | ~$less(X11,0)) )), 15.15/2.50 inference(resolution,[],[f1085,f372])). 15.15/2.50 tff(f372,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,diff(X0,X1,X2),X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f133])). 15.15/2.50 tff(f133,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : subset(X0,diff(X0,X1,X2),X1)), 15.15/2.50 inference(rectify,[],[f56])). 15.15/2.50 tff(f56,axiom,( 15.15/2.50 ! [X0 : ty,X3 : uni,X4 : uni] : subset(X0,diff(X0,X3,X4),X3)), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_diff)). 15.15/2.50 tff(f1085,plain,( 15.15/2.50 ( ! [X62 : uni,X61 : $int] : (~subset(int,X62,t2tb(sK0)) | ~mem(int,t2tb1(X61),X62) | ~$less(X61,0)) )), 15.15/2.50 inference(resolution,[],[f380,f275])). 15.15/2.50 tff(f26826,plain,( 15.15/2.50 spl30_681 | ~spl30_6 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f26821,f3676,f514,f26823])). 15.15/2.50 tff(f26823,plain,( 15.15/2.50 spl30_681 <=> $less(tb2t1(choose(int,union(int,t2tb(sK8),empty(int)))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_681])])). 15.15/2.50 tff(f26821,plain,( 15.15/2.50 $less(tb2t1(choose(int,union(int,t2tb(sK8),empty(int)))),n1) | (~spl30_6 | spl30_137)), 15.15/2.50 inference(subsumption_resolution,[],[f26786,f11733])). 15.15/2.50 tff(f26786,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK8),empty(int))) | $less(tb2t1(choose(int,union(int,t2tb(sK8),empty(int)))),n1) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f5774,f16342])). 15.15/2.50 tff(f16342,plain,( 15.15/2.50 ( ! [X2 : uni] : (~mem(int,X2,t2tb(sK8)) | $less(tb2t1(X2),n1)) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f3461,f1416])). 15.15/2.50 tff(f1416,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : uni] : (~mem(int,X0,diff(int,t2tb(sK0),X1)) | $less(tb2t1(X0),n1)) )), 15.15/2.50 inference(superposition,[],[f1379,f315])). 15.15/2.50 tff(f1379,plain,( 15.15/2.50 ( ! [X11 : $int,X12 : uni] : (~mem(int,t2tb1(X11),diff(int,t2tb(sK0),X12)) | $less(X11,n1)) )), 15.15/2.50 inference(resolution,[],[f1084,f372])). 15.15/2.50 tff(f1084,plain,( 15.15/2.50 ( ! [X59 : $int,X60 : uni] : (~subset(int,X60,t2tb(sK0)) | ~mem(int,t2tb1(X59),X60) | $less(X59,n1)) )), 15.15/2.50 inference(resolution,[],[f380,f732])). 15.15/2.50 tff(f732,plain,( 15.15/2.50 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK0)) | $less(X0,n1)) )), 15.15/2.50 inference(equality_resolution,[],[f442])). 15.15/2.50 tff(f442,plain,( 15.15/2.50 ( ! [X22 : $int,X23 : $int] : (n1 != X23 | $less(X22,X23) | ~mem(int,t2tb1(X22),t2tb(sK0))) )), 15.15/2.50 inference(theory_flattening,[],[f276])). 15.15/2.50 tff(f276,plain,( 15.15/2.50 ( ! [X22 : $int] : ($less(X22,n1) | ~mem(int,t2tb1(X22),t2tb(sK0))) )), 15.15/2.50 inference(cnf_transformation,[],[f219])). 15.15/2.50 tff(f26820,plain,( 15.15/2.50 ~spl30_680 | ~spl30_6 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f26815,f3676,f514,f26817])). 15.15/2.50 tff(f26817,plain,( 15.15/2.50 spl30_680 <=> mem(int,choose(int,union(int,t2tb(sK8),empty(int))),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_680])])). 15.15/2.50 tff(f26815,plain,( 15.15/2.50 ~mem(int,choose(int,union(int,t2tb(sK8),empty(int))),t2tb(sK1)) | (~spl30_6 | spl30_137)), 15.15/2.50 inference(subsumption_resolution,[],[f26785,f11733])). 15.15/2.50 tff(f26785,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK8),empty(int))) | ~mem(int,choose(int,union(int,t2tb(sK8),empty(int))),t2tb(sK1)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f5774,f16346])). 15.15/2.50 tff(f16346,plain,( 15.15/2.50 ( ! [X5 : uni] : (~mem(int,X5,t2tb(sK8)) | ~mem(int,X5,t2tb(sK1))) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f3461,f418])). 15.15/2.50 tff(f26814,plain,( 15.15/2.50 ~spl30_669 | spl30_137 | spl30_432), 15.15/2.50 inference(avatar_split_clause,[],[f26813,f18309,f3676,f26694])). 15.15/2.50 tff(f26694,plain,( 15.15/2.50 spl30_669 <=> t2tb(below1(min_elt1(sK0))) = union(int,t2tb(sK8),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_669])])). 15.15/2.50 tff(f18309,plain,( 15.15/2.50 spl30_432 <=> mem(int,choose(int,t2tb(below1(min_elt1(sK0)))),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_432])])). 15.15/2.50 tff(f26813,plain,( 15.15/2.50 t2tb(below1(min_elt1(sK0))) != union(int,t2tb(sK8),empty(int)) | (spl30_137 | spl30_432)), 15.15/2.50 inference(subsumption_resolution,[],[f26784,f11733])). 15.15/2.50 tff(f26784,plain,( 15.15/2.50 t2tb(below1(min_elt1(sK0))) != union(int,t2tb(sK8),empty(int)) | is_empty(int,union(int,t2tb(sK8),empty(int))) | spl30_432), 15.15/2.50 inference(constrained_resolution,[],[f5774,f18311])). 15.15/2.50 tff(f18311,plain,( 15.15/2.50 ~mem(int,choose(int,t2tb(below1(min_elt1(sK0)))),t2tb(sK8)) | spl30_432), 15.15/2.50 inference(avatar_component_clause,[],[f18309])). 15.15/2.50 tff(f26812,plain,( 15.15/2.50 spl30_667 | ~spl30_668 | spl30_126), 15.15/2.50 inference(avatar_split_clause,[],[f26783,f3432,f26688,f26684])). 15.15/2.50 tff(f26684,plain,( 15.15/2.50 spl30_667 <=> is_empty(int,union(int,t2tb(sK2),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_667])])). 15.15/2.50 tff(f26688,plain,( 15.15/2.50 spl30_668 <=> t2tb(sK8) = union(int,t2tb(sK2),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_668])])). 15.15/2.50 tff(f3432,plain,( 15.15/2.50 spl30_126 <=> mem(int,choose(int,t2tb(sK8)),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_126])])). 15.15/2.50 tff(f26783,plain,( 15.15/2.50 t2tb(sK8) != union(int,t2tb(sK2),empty(int)) | is_empty(int,union(int,t2tb(sK2),empty(int))) | spl30_126), 15.15/2.50 inference(constrained_resolution,[],[f5774,f3434])). 15.15/2.50 tff(f3434,plain,( 15.15/2.50 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK2)) | spl30_126), 15.15/2.50 inference(avatar_component_clause,[],[f3432])). 15.15/2.50 tff(f26811,plain,( 15.15/2.50 spl30_665 | ~spl30_666 | spl30_412), 15.15/2.50 inference(avatar_split_clause,[],[f26782,f17690,f26679,f26675])). 15.15/2.50 tff(f26675,plain,( 15.15/2.50 spl30_665 <=> is_empty(int,union(int,t2tb(sK1),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_665])])). 15.15/2.50 tff(f26679,plain,( 15.15/2.50 spl30_666 <=> t2tb(sK8) = union(int,t2tb(sK1),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_666])])). 15.15/2.50 tff(f17690,plain,( 15.15/2.50 spl30_412 <=> mem(int,choose(int,t2tb(sK8)),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_412])])). 15.15/2.50 tff(f26782,plain,( 15.15/2.50 t2tb(sK8) != union(int,t2tb(sK1),empty(int)) | is_empty(int,union(int,t2tb(sK1),empty(int))) | spl30_412), 15.15/2.50 inference(constrained_resolution,[],[f5774,f17692])). 15.15/2.50 tff(f17692,plain,( 15.15/2.50 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK1)) | spl30_412), 15.15/2.50 inference(avatar_component_clause,[],[f17690])). 15.15/2.50 tff(f26810,plain,( 15.15/2.50 ~spl30_679 | spl30_674), 15.15/2.50 inference(avatar_split_clause,[],[f26781,f26723,f26807])). 15.15/2.50 tff(f26807,plain,( 15.15/2.50 spl30_679 <=> $less(tb2t1(choose(int,union(int,t2tb(sK0),empty(int)))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_679])])). 15.15/2.50 tff(f26781,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK0),empty(int))) | ~$less(tb2t1(choose(int,union(int,t2tb(sK0),empty(int)))),0)), 15.15/2.50 inference(resolution,[],[f5774,f627])). 15.15/2.50 tff(f26805,plain,( 15.15/2.50 spl30_678 | spl30_674), 15.15/2.50 inference(avatar_split_clause,[],[f26780,f26723,f26802])). 15.15/2.50 tff(f26802,plain,( 15.15/2.50 spl30_678 <=> $less(tb2t1(choose(int,union(int,t2tb(sK0),empty(int)))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_678])])). 15.15/2.50 tff(f26780,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK0),empty(int))) | $less(tb2t1(choose(int,union(int,t2tb(sK0),empty(int)))),n1)), 15.15/2.50 inference(resolution,[],[f5774,f733])). 15.15/2.50 tff(f733,plain,( 15.15/2.50 ( ! [X0 : uni] : (~mem(int,X0,t2tb(sK0)) | $less(tb2t1(X0),n1)) )), 15.15/2.50 inference(superposition,[],[f732,f315])). 15.15/2.50 tff(f26800,plain,( 15.15/2.50 spl30_677 | spl30_662), 15.15/2.50 inference(avatar_split_clause,[],[f26779,f26658,f26797])). 15.15/2.50 tff(f26797,plain,( 15.15/2.50 spl30_677 <=> $less(tb2t1(choose(int,union(int,t2tb(pred1(succ1(sK0))),empty(int)))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_677])])). 15.15/2.50 tff(f26779,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(pred1(succ1(sK0))),empty(int))) | $less(tb2t1(choose(int,union(int,t2tb(pred1(succ1(sK0))),empty(int)))),n1)), 15.15/2.50 inference(resolution,[],[f5774,f21448])). 15.15/2.50 tff(f21448,plain,( 15.15/2.50 ( ! [X0 : uni] : (~mem(int,X0,t2tb(pred1(succ1(sK0)))) | $less(tb2t1(X0),n1)) )), 15.15/2.50 inference(superposition,[],[f16029,f315])). 15.15/2.50 tff(f16029,plain,( 15.15/2.50 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(pred1(succ1(sK0)))) | $less(X0,n1)) )), 15.15/2.50 inference(evaluation,[],[f16018])). 15.15/2.50 tff(f16018,plain,( 15.15/2.50 ( ! [X0 : $int] : ($less($sum($sum(X0,1),-1),n1) | ~mem(int,t2tb1(X0),t2tb(pred1(succ1(sK0))))) )), 15.15/2.50 inference(resolution,[],[f3600,f1586])). 15.15/2.50 tff(f1586,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : set_int] : (mem(int,t2tb1($sum(X0,1)),t2tb(X1)) | ~mem(int,t2tb1(X0),t2tb(pred1(X1)))) )), 15.15/2.50 inference(equality_resolution,[],[f470])). 15.15/2.50 tff(f470,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : set_int,X1 : $int] : ($sum(X1,1) != X2 | mem(int,t2tb1(X2),t2tb(X0)) | ~mem(int,t2tb1(X1),t2tb(pred1(X0)))) )), 15.15/2.50 inference(theory_flattening,[],[f360])). 15.15/2.50 tff(f360,plain,( 15.15/2.50 ( ! [X0 : set_int,X1 : $int] : (mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | ~mem(int,t2tb1(X1),t2tb(pred1(X0)))) )), 15.15/2.50 inference(cnf_transformation,[],[f233])). 15.15/2.50 tff(f233,plain,( 15.15/2.50 ! [X0 : set_int,X1 : $int] : (((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) | ~mem(int,t2tb1(X1),t2tb(pred1(X0)))) & (mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0)))), 15.15/2.50 inference(flattening,[],[f232])). 15.15/2.50 tff(f232,plain,( 15.15/2.50 ! [X0 : set_int,X1 : $int] : (((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) | ~mem(int,t2tb1(X1),t2tb(pred1(X0)))) & (mem(int,t2tb1(X1),t2tb(pred1(X0))) | (~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0))))), 15.15/2.50 inference(nnf_transformation,[],[f126])). 15.15/2.50 tff(f126,plain,( 15.15/2.50 ! [X0 : set_int,X1 : $int] : ((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) <=> mem(int,t2tb1(X1),t2tb(pred1(X0))))), 15.15/2.50 inference(rectify,[],[f86])). 15.15/2.50 tff(f86,plain,( 15.15/2.50 ! [X2 : set_int,X5 : $int] : ((mem(int,t2tb1($sum(X5,1)),t2tb(X2)) & ~$less(X5,0)) <=> mem(int,t2tb1(X5),t2tb(pred1(X2))))), 15.15/2.50 inference(theory_normalization,[],[f61])). 15.15/2.50 tff(f61,axiom,( 15.15/2.50 ! [X2 : set_int,X5 : $int] : ((mem(int,t2tb1($sum(X5,1)),t2tb(X2)) & $lesseq(0,X5)) <=> mem(int,t2tb1(X5),t2tb(pred1(X2))))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_def)). 15.15/2.50 tff(f3600,plain,( 15.15/2.50 ( ! [X22 : $int] : (~mem(int,t2tb1(X22),t2tb(succ1(sK0))) | $less($sum(X22,-1),n1)) )), 15.15/2.50 inference(resolution,[],[f1607,f732])). 15.15/2.50 tff(f1607,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : set_int] : (mem(int,t2tb1($sum(X0,-1)),t2tb(X1)) | ~mem(int,t2tb1(X0),t2tb(succ1(X1)))) )), 15.15/2.50 inference(equality_resolution,[],[f486])). 15.15/2.50 tff(f486,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : set_int,X1 : $int] : ($sum(X1,-1) != X2 | mem(int,t2tb1(X2),t2tb(X0)) | ~mem(int,t2tb1(X1),t2tb(succ1(X0)))) )), 15.15/2.50 inference(evaluation,[],[f468])). 15.15/2.50 tff(f468,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : set_int,X1 : $int] : ($sum(X1,$uminus(1)) != X2 | mem(int,t2tb1(X2),t2tb(X0)) | ~mem(int,t2tb1(X1),t2tb(succ1(X0)))) )), 15.15/2.50 inference(theory_flattening,[],[f354])). 15.15/2.50 tff(f354,plain,( 15.15/2.50 ( ! [X0 : set_int,X1 : $int] : (mem(int,t2tb1($sum(X1,$uminus(1))),t2tb(X0)) | ~mem(int,t2tb1(X1),t2tb(succ1(X0)))) )), 15.15/2.50 inference(cnf_transformation,[],[f229])). 15.15/2.50 tff(f26795,plain,( 15.15/2.50 spl30_676 | spl30_660), 15.15/2.50 inference(avatar_split_clause,[],[f26769,f26649,f26793])). 15.15/2.50 tff(f26793,plain,( 15.15/2.50 spl30_676 <=> ! [X81 : $int] : (~mem(int,t2tb1(X81),t2tb(sK8)) | $less(tb2t1(choose(int,union(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int)))),X81))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_676])])). 15.15/2.50 tff(f26649,plain,( 15.15/2.50 spl30_660 <=> is_empty(int,union(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_660])])). 15.15/2.50 tff(f26769,plain,( 15.15/2.50 ( ! [X81 : $int] : (is_empty(int,union(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int))) | ~mem(int,t2tb1(X81),t2tb(sK8)) | $less(tb2t1(choose(int,union(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int)))),X81)) )), 15.15/2.50 inference(resolution,[],[f5774,f1665])). 15.15/2.50 tff(f1665,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : $int] : (~mem(int,X0,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~mem(int,t2tb1(X1),t2tb(sK8)) | $less(tb2t1(X0),X1)) )), 15.15/2.50 inference(superposition,[],[f289,f315])). 15.15/2.50 tff(f289,plain,( 15.15/2.50 ( ! [X18 : $int,X17 : $int] : (~mem(int,t2tb1(X17),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~mem(int,t2tb1(X18),t2tb(sK8)) | $less(X17,X18)) )), 15.15/2.50 inference(cnf_transformation,[],[f219])). 15.15/2.50 tff(f26738,plain,( 15.15/2.50 ~spl30_521 | ~spl30_365 | ~spl30_6 | spl30_125), 15.15/2.50 inference(avatar_split_clause,[],[f21889,f3420,f514,f16374,f22752])). 15.15/2.50 tff(f16374,plain,( 15.15/2.50 spl30_365 <=> subset(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_365])])). 15.15/2.50 tff(f21889,plain,( 15.15/2.50 ~subset(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)) | ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8)) | (~spl30_6 | spl30_125)), 15.15/2.50 inference(resolution,[],[f3479,f3461])). 15.15/2.50 tff(f26737,plain,( 15.15/2.50 ~spl30_140 | ~spl30_366 | ~spl30_6 | spl30_124), 15.15/2.50 inference(avatar_split_clause,[],[f17797,f3414,f514,f16378,f3689])). 15.15/2.50 tff(f17797,plain,( 15.15/2.50 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK8)) | ~subset(int,t2tb(sK0),t2tb(sK2)) | (~spl30_6 | spl30_124)), 15.15/2.50 inference(resolution,[],[f16347,f3469])). 15.15/2.50 tff(f26736,plain,( 15.15/2.50 ~spl30_140 | spl30_365), 15.15/2.50 inference(avatar_split_clause,[],[f18078,f16374,f3689])). 15.15/2.50 tff(f18078,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK2)) | spl30_365), 15.15/2.50 inference(resolution,[],[f16376,f3784])). 15.15/2.50 tff(f3784,plain,( 15.15/2.50 ( ! [X3 : ty,X6 : uni,X4 : uni,X5 : uni] : (subset(X3,diff(X3,X4,X5),X6) | ~subset(X3,X4,X6)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f3751])). 15.15/2.50 tff(f3751,plain,( 15.15/2.50 ( ! [X3 : ty,X6 : uni,X4 : uni,X5 : uni] : (subset(X3,diff(X3,X4,X5),X6) | ~subset(X3,X4,X6) | subset(X3,diff(X3,X4,X5),X6)) )), 15.15/2.50 inference(resolution,[],[f943,f1075])). 15.15/2.50 tff(f1075,plain,( 15.15/2.50 ( ! [X31 : ty,X34 : uni,X32 : uni,X33 : uni] : (~mem(X31,sK26(X31,X32,X33),X34) | ~subset(X31,X34,X33) | subset(X31,X32,X33)) )), 15.15/2.50 inference(resolution,[],[f380,f383])). 15.15/2.50 tff(f16376,plain,( 15.15/2.50 ~subset(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)) | spl30_365), 15.15/2.50 inference(avatar_component_clause,[],[f16374])). 15.15/2.50 tff(f26735,plain,( 15.15/2.50 ~spl30_675 | ~spl30_140 | spl30_125 | spl30_227 | ~spl30_246), 15.15/2.50 inference(avatar_split_clause,[],[f26730,f7368,f7285,f3420,f3689,f26732])). 15.15/2.50 tff(f26732,plain,( 15.15/2.50 spl30_675 <=> $less(sK18(min_elt1(sK8)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_675])])). 15.15/2.50 tff(f7285,plain,( 15.15/2.50 spl30_227 <=> $less(min_elt1(sK8),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_227])])). 15.15/2.50 tff(f7368,plain,( 15.15/2.50 spl30_246 <=> $less(min_elt1(sK8),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_246])])). 15.15/2.50 tff(f26730,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK2)) | ~$less(sK18(min_elt1(sK8)),0) | (spl30_125 | spl30_227 | ~spl30_246)), 15.15/2.50 inference(subsumption_resolution,[],[f26729,f7287])). 15.15/2.50 tff(f7287,plain,( 15.15/2.50 ~$less(min_elt1(sK8),0) | spl30_227), 15.15/2.50 inference(avatar_component_clause,[],[f7285])). 15.15/2.50 tff(f26729,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK2)) | ~$less(sK18(min_elt1(sK8)),0) | $less(min_elt1(sK8),0) | (spl30_125 | ~spl30_246)), 15.15/2.50 inference(subsumption_resolution,[],[f21885,f7370])). 15.15/2.50 tff(f7370,plain,( 15.15/2.50 $less(min_elt1(sK8),n1) | ~spl30_246), 15.15/2.50 inference(avatar_component_clause,[],[f7368])). 15.15/2.50 tff(f21885,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK2)) | ~$less(sK18(min_elt1(sK8)),0) | ~$less(min_elt1(sK8),n1) | $less(min_elt1(sK8),0) | spl30_125), 15.15/2.50 inference(resolution,[],[f3479,f2837])). 15.15/2.50 tff(f2837,plain,( 15.15/2.50 ( ! [X0 : $int] : (mem(int,t2tb1(X0),t2tb(sK0)) | ~$less(sK18(X0),0) | ~$less(X0,n1) | $less(X0,0)) )), 15.15/2.50 inference(equality_resolution,[],[f1366])). 15.15/2.50 tff(f1366,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : (n1 != X1 | ~$less(sK18(X0),0) | mem(int,t2tb1(X0),t2tb(sK0)) | ~$less(X0,X1) | $less(X0,0)) )), 15.15/2.50 inference(equality_resolution,[],[f444])). 15.15/2.50 tff(f444,plain,( 15.15/2.50 ( ! [X24 : $int,X22 : $int,X23 : $int] : (sK18(X22) != X23 | mem(int,t2tb1(X22),t2tb(sK0)) | ~$less(X23,0) | n1 != X24 | ~$less(X22,X24) | $less(X22,0)) )), 15.15/2.50 inference(theory_flattening,[],[f273])). 15.15/2.50 tff(f273,plain,( 15.15/2.50 ( ! [X22 : $int] : (mem(int,t2tb1(X22),t2tb(sK0)) | ~$less(sK18(X22),0) | ~$less(X22,n1) | $less(X22,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f219])). 15.15/2.50 tff(f26728,plain,( 15.15/2.50 ~spl30_521 | ~spl30_140 | ~spl30_6 | spl30_125), 15.15/2.50 inference(avatar_split_clause,[],[f21888,f3420,f514,f3689,f22752])). 15.15/2.50 tff(f21888,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK2)) | ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8)) | (~spl30_6 | spl30_125)), 15.15/2.50 inference(resolution,[],[f3479,f16347])). 15.15/2.50 tff(f26727,plain,( 15.15/2.50 spl30_663 | spl30_674), 15.15/2.50 inference(avatar_split_clause,[],[f26630,f26723,f26664])). 15.15/2.50 tff(f26664,plain,( 15.15/2.50 spl30_663 <=> $less(tb2t1(sK21(int,union(int,t2tb(sK0),empty(int)))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_663])])). 15.15/2.50 tff(f26630,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK0),empty(int))) | $less(tb2t1(sK21(int,union(int,t2tb(sK0),empty(int)))),n1)), 15.15/2.50 inference(resolution,[],[f5731,f733])). 15.15/2.50 tff(f26726,plain,( 15.15/2.50 ~spl30_664 | spl30_674), 15.15/2.50 inference(avatar_split_clause,[],[f26631,f26723,f26670])). 15.15/2.50 tff(f26670,plain,( 15.15/2.50 spl30_664 <=> $less(tb2t1(sK21(int,union(int,t2tb(sK0),empty(int)))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_664])])). 15.15/2.50 tff(f26631,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK0),empty(int))) | ~$less(tb2t1(sK21(int,union(int,t2tb(sK0),empty(int)))),0)), 15.15/2.50 inference(resolution,[],[f5731,f627])). 15.15/2.50 tff(f26721,plain,( 15.15/2.50 ~spl30_673 | ~spl30_6 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f26716,f3676,f514,f26718])). 15.15/2.50 tff(f26718,plain,( 15.15/2.50 spl30_673 <=> mem(int,sK21(int,union(int,t2tb(sK8),empty(int))),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_673])])). 15.15/2.50 tff(f26716,plain,( 15.15/2.50 ~mem(int,sK21(int,union(int,t2tb(sK8),empty(int))),t2tb(sK2)) | (~spl30_6 | spl30_137)), 15.15/2.50 inference(subsumption_resolution,[],[f26638,f11733])). 15.15/2.50 tff(f26638,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK8),empty(int))) | ~mem(int,sK21(int,union(int,t2tb(sK8),empty(int))),t2tb(sK2)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f5731,f3388])). 15.15/2.50 tff(f26715,plain,( 15.15/2.50 ~spl30_672 | ~spl30_6 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f26710,f3676,f514,f26712])). 15.15/2.50 tff(f26712,plain,( 15.15/2.50 spl30_672 <=> $less(tb2t1(sK21(int,union(int,t2tb(sK8),empty(int)))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_672])])). 15.15/2.50 tff(f26710,plain,( 15.15/2.50 ~$less(tb2t1(sK21(int,union(int,t2tb(sK8),empty(int)))),0) | (~spl30_6 | spl30_137)), 15.15/2.50 inference(subsumption_resolution,[],[f26637,f11733])). 15.15/2.50 tff(f26637,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK8),empty(int))) | ~$less(tb2t1(sK21(int,union(int,t2tb(sK8),empty(int)))),0) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f5731,f16343])). 15.15/2.50 tff(f26709,plain,( 15.15/2.50 spl30_671 | ~spl30_6 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f26704,f3676,f514,f26706])). 15.15/2.50 tff(f26706,plain,( 15.15/2.50 spl30_671 <=> $less(tb2t1(sK21(int,union(int,t2tb(sK8),empty(int)))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_671])])). 15.15/2.50 tff(f26704,plain,( 15.15/2.50 $less(tb2t1(sK21(int,union(int,t2tb(sK8),empty(int)))),n1) | (~spl30_6 | spl30_137)), 15.15/2.50 inference(subsumption_resolution,[],[f26636,f11733])). 15.15/2.50 tff(f26636,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK8),empty(int))) | $less(tb2t1(sK21(int,union(int,t2tb(sK8),empty(int)))),n1) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f5731,f16342])). 15.15/2.50 tff(f26703,plain,( 15.15/2.50 ~spl30_670 | ~spl30_6 | spl30_137), 15.15/2.50 inference(avatar_split_clause,[],[f26698,f3676,f514,f26700])). 15.15/2.50 tff(f26700,plain,( 15.15/2.50 spl30_670 <=> mem(int,sK21(int,union(int,t2tb(sK8),empty(int))),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_670])])). 15.15/2.50 tff(f26698,plain,( 15.15/2.50 ~mem(int,sK21(int,union(int,t2tb(sK8),empty(int))),t2tb(sK1)) | (~spl30_6 | spl30_137)), 15.15/2.50 inference(subsumption_resolution,[],[f26635,f11733])). 15.15/2.50 tff(f26635,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(sK8),empty(int))) | ~mem(int,sK21(int,union(int,t2tb(sK8),empty(int))),t2tb(sK1)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f5731,f16346])). 15.15/2.50 tff(f26697,plain,( 15.15/2.50 ~spl30_669 | spl30_137 | spl30_431), 15.15/2.50 inference(avatar_split_clause,[],[f26692,f18304,f3676,f26694])). 15.15/2.50 tff(f18304,plain,( 15.15/2.50 spl30_431 <=> mem(int,sK21(int,t2tb(below1(min_elt1(sK0)))),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_431])])). 15.15/2.50 tff(f26692,plain,( 15.15/2.50 t2tb(below1(min_elt1(sK0))) != union(int,t2tb(sK8),empty(int)) | (spl30_137 | spl30_431)), 15.15/2.50 inference(subsumption_resolution,[],[f26634,f11733])). 15.15/2.50 tff(f26634,plain,( 15.15/2.50 t2tb(below1(min_elt1(sK0))) != union(int,t2tb(sK8),empty(int)) | is_empty(int,union(int,t2tb(sK8),empty(int))) | spl30_431), 15.15/2.50 inference(constrained_resolution,[],[f5731,f18306])). 15.15/2.50 tff(f18306,plain,( 15.15/2.50 ~mem(int,sK21(int,t2tb(below1(min_elt1(sK0)))),t2tb(sK8)) | spl30_431), 15.15/2.50 inference(avatar_component_clause,[],[f18304])). 15.15/2.50 tff(f26691,plain,( 15.15/2.50 spl30_667 | ~spl30_668 | spl30_127), 15.15/2.50 inference(avatar_split_clause,[],[f26633,f3438,f26688,f26684])). 15.15/2.50 tff(f3438,plain,( 15.15/2.50 spl30_127 <=> mem(int,sK21(int,t2tb(sK8)),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_127])])). 15.15/2.50 tff(f26633,plain,( 15.15/2.50 t2tb(sK8) != union(int,t2tb(sK2),empty(int)) | is_empty(int,union(int,t2tb(sK2),empty(int))) | spl30_127), 15.15/2.50 inference(constrained_resolution,[],[f5731,f3440])). 15.15/2.50 tff(f3440,plain,( 15.15/2.50 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK2)) | spl30_127), 15.15/2.50 inference(avatar_component_clause,[],[f3438])). 15.15/2.50 tff(f26682,plain,( 15.15/2.50 spl30_665 | ~spl30_666 | spl30_413), 15.15/2.50 inference(avatar_split_clause,[],[f26632,f17696,f26679,f26675])). 15.15/2.50 tff(f17696,plain,( 15.15/2.50 spl30_413 <=> mem(int,sK21(int,t2tb(sK8)),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_413])])). 15.15/2.50 tff(f26632,plain,( 15.15/2.50 t2tb(sK8) != union(int,t2tb(sK1),empty(int)) | is_empty(int,union(int,t2tb(sK1),empty(int))) | spl30_413), 15.15/2.50 inference(constrained_resolution,[],[f5731,f17698])). 15.15/2.50 tff(f17698,plain,( 15.15/2.50 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK1)) | spl30_413), 15.15/2.50 inference(avatar_component_clause,[],[f17696])). 15.15/2.50 tff(f26673,plain,( 15.15/2.50 ~spl30_664 | spl30_140), 15.15/2.50 inference(avatar_split_clause,[],[f26668,f3689,f26670])). 15.15/2.50 tff(f26668,plain,( 15.15/2.50 ~$less(tb2t1(sK21(int,union(int,t2tb(sK0),empty(int)))),0) | spl30_140), 15.15/2.50 inference(subsumption_resolution,[],[f26631,f18442])). 15.15/2.50 tff(f18442,plain,( 15.15/2.50 ( ! [X5 : uni] : (~is_empty(int,union(int,t2tb(sK0),X5))) ) | spl30_140), 15.15/2.50 inference(resolution,[],[f18415,f906])). 15.15/2.50 tff(f18415,plain,( 15.15/2.50 ( ! [X6 : uni] : (~subset(int,union(int,t2tb(sK0),X6),t2tb(sK2))) ) | spl30_140), 15.15/2.50 inference(resolution,[],[f17099,f3714])). 15.15/2.50 tff(f17099,plain,( 15.15/2.50 ( ! [X0 : uni] : (~subset(int,t2tb(sK0),X0) | ~subset(int,X0,t2tb(sK2))) ) | spl30_140), 15.15/2.50 inference(resolution,[],[f3691,f408])). 15.15/2.50 tff(f26667,plain,( 15.15/2.50 spl30_663 | spl30_140), 15.15/2.50 inference(avatar_split_clause,[],[f26662,f3689,f26664])). 15.15/2.50 tff(f26662,plain,( 15.15/2.50 $less(tb2t1(sK21(int,union(int,t2tb(sK0),empty(int)))),n1) | spl30_140), 15.15/2.50 inference(subsumption_resolution,[],[f26630,f18442])). 15.15/2.50 tff(f26661,plain,( 15.15/2.50 spl30_661 | spl30_662), 15.15/2.50 inference(avatar_split_clause,[],[f26629,f26658,f26654])). 15.15/2.50 tff(f26654,plain,( 15.15/2.50 spl30_661 <=> $less(tb2t1(sK21(int,union(int,t2tb(pred1(succ1(sK0))),empty(int)))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_661])])). 15.15/2.50 tff(f26629,plain,( 15.15/2.50 is_empty(int,union(int,t2tb(pred1(succ1(sK0))),empty(int))) | $less(tb2t1(sK21(int,union(int,t2tb(pred1(succ1(sK0))),empty(int)))),n1)), 15.15/2.50 inference(resolution,[],[f5731,f21448])). 15.15/2.50 tff(f26652,plain,( 15.15/2.50 spl30_659 | spl30_660), 15.15/2.50 inference(avatar_split_clause,[],[f26619,f26649,f26646])). 15.15/2.50 tff(f26646,plain,( 15.15/2.50 spl30_659 <=> ! [X81 : $int] : (~mem(int,t2tb1(X81),t2tb(sK8)) | $less(tb2t1(sK21(int,union(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int)))),X81))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_659])])). 15.15/2.50 tff(f26619,plain,( 15.15/2.50 ( ! [X81 : $int] : (is_empty(int,union(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int))) | ~mem(int,t2tb1(X81),t2tb(sK8)) | $less(tb2t1(sK21(int,union(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int)))),X81)) )), 15.15/2.50 inference(resolution,[],[f5731,f1665])). 15.15/2.50 tff(f26580,plain,( 15.15/2.50 ~spl30_658 | spl30_654), 15.15/2.50 inference(avatar_split_clause,[],[f26568,f26495,f26577])). 15.15/2.50 tff(f26577,plain,( 15.15/2.50 spl30_658 <=> infix_eqeq(int,t2tb(sK0),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_658])])). 15.15/2.50 tff(f26568,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK0),t2tb(sK1)) | spl30_654), 15.15/2.50 inference(resolution,[],[f26497,f3151])). 15.15/2.50 tff(f26575,plain,( 15.15/2.50 ~spl30_657 | spl30_654), 15.15/2.50 inference(avatar_split_clause,[],[f26567,f26495,f26572])). 15.15/2.50 tff(f26572,plain,( 15.15/2.50 spl30_657 <=> infix_eqeq(int,t2tb(sK1),t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_657])])). 15.15/2.50 tff(f26567,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK1),t2tb(sK0)) | spl30_654), 15.15/2.50 inference(resolution,[],[f26497,f3303])). 15.15/2.50 tff(f26548,plain,( 15.15/2.50 ~spl30_419 | spl30_652), 15.15/2.50 inference(avatar_split_clause,[],[f26540,f26483,f17877])). 15.15/2.50 tff(f17877,plain,( 15.15/2.50 spl30_419 <=> infix_eqeq(int,t2tb(sK8),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_419])])). 15.15/2.50 tff(f26540,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK8),t2tb(sK1)) | spl30_652), 15.15/2.50 inference(resolution,[],[f26485,f3151])). 15.15/2.50 tff(f26547,plain,( 15.15/2.50 ~spl30_656 | spl30_652), 15.15/2.50 inference(avatar_split_clause,[],[f26539,f26483,f26544])). 15.15/2.50 tff(f26544,plain,( 15.15/2.50 spl30_656 <=> infix_eqeq(int,t2tb(sK1),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_656])])). 15.15/2.50 tff(f26539,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK1),t2tb(sK8)) | spl30_652), 15.15/2.50 inference(resolution,[],[f26485,f3303])). 15.15/2.50 tff(f26507,plain,( 15.15/2.50 ~spl30_366 | ~spl30_655 | ~spl30_6 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f26467,f17672,f514,f26504,f16378])). 15.15/2.50 tff(f26467,plain,( 15.15/2.50 ~subset(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK1)) | ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK8)) | (~spl30_6 | spl30_410)), 15.15/2.50 inference(resolution,[],[f17725,f3461])). 15.15/2.50 tff(f26502,plain,( 15.15/2.50 ~spl30_366 | ~spl30_654 | ~spl30_6 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f26466,f17672,f514,f26495,f16378])). 15.15/2.50 tff(f26466,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK1)) | ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK8)) | (~spl30_6 | spl30_410)), 15.15/2.50 inference(resolution,[],[f17725,f16347])). 15.15/2.50 tff(f26498,plain,( 15.15/2.50 ~spl30_377 | ~spl30_654 | spl30_138 | ~spl30_370 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f26493,f17672,f16844,f3681,f26495,f17092])). 15.15/2.50 tff(f17092,plain,( 15.15/2.50 spl30_377 <=> $less(sK18(max_elt1(sK8)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_377])])). 15.15/2.50 tff(f3681,plain,( 15.15/2.50 spl30_138 <=> $less(max_elt1(sK8),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_138])])). 15.15/2.50 tff(f16844,plain,( 15.15/2.50 spl30_370 <=> $less(max_elt1(sK8),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_370])])). 15.15/2.50 tff(f26493,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK1)) | ~$less(sK18(max_elt1(sK8)),0) | (spl30_138 | ~spl30_370 | spl30_410)), 15.15/2.50 inference(subsumption_resolution,[],[f26492,f3682])). 15.15/2.50 tff(f3682,plain,( 15.15/2.50 ~$less(max_elt1(sK8),0) | spl30_138), 15.15/2.50 inference(avatar_component_clause,[],[f3681])). 15.15/2.50 tff(f26492,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK1)) | ~$less(sK18(max_elt1(sK8)),0) | $less(max_elt1(sK8),0) | (~spl30_370 | spl30_410)), 15.15/2.50 inference(subsumption_resolution,[],[f26464,f16846])). 15.15/2.50 tff(f16846,plain,( 15.15/2.50 $less(max_elt1(sK8),n1) | ~spl30_370), 15.15/2.50 inference(avatar_component_clause,[],[f16844])). 15.15/2.50 tff(f26464,plain,( 15.15/2.50 ~subset(int,t2tb(sK0),t2tb(sK1)) | ~$less(sK18(max_elt1(sK8)),0) | ~$less(max_elt1(sK8),n1) | $less(max_elt1(sK8),0) | spl30_410), 15.15/2.50 inference(resolution,[],[f17725,f2837])). 15.15/2.50 tff(f26491,plain,( 15.15/2.50 spl30_609 | spl30_653 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f26462,f17672,f26489,f25772])). 15.15/2.50 tff(f26489,plain,( 15.15/2.50 spl30_653 <=> ! [X28 : $int] : (~subset(int,t2tb(succ1(below1(X28))),t2tb(sK1)) | ~$less($sum(max_elt1(sK8),-1),X28))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_653])])). 15.15/2.50 tff(f26462,plain,( 15.15/2.50 ( ! [X28 : $int] : (~subset(int,t2tb(succ1(below1(X28))),t2tb(sK1)) | $less(max_elt1(sK8),1) | ~$less($sum(max_elt1(sK8),-1),X28)) ) | spl30_410), 15.15/2.50 inference(resolution,[],[f17725,f4151])). 15.15/2.50 tff(f4151,plain,( 15.15/2.50 ( ! [X8 : $int,X9 : $int] : (mem(int,t2tb1(X8),t2tb(succ1(below1(X9)))) | $less(X8,1) | ~$less($sum(X8,-1),X9)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f4150])). 15.15/2.50 tff(f4150,plain,( 15.15/2.50 ( ! [X8 : $int,X9 : $int] : (mem(int,t2tb1(X8),t2tb(succ1(below1(X9)))) | $less(X8,1) | ~$less($sum(X8,-1),X9) | $less(X8,1)) )), 15.15/2.50 inference(cancellation,[],[f4137])). 15.15/2.50 tff(f4137,plain,( 15.15/2.50 ( ! [X8 : $int,X9 : $int] : (mem(int,t2tb1(X8),t2tb(succ1(below1(X9)))) | $less(X8,1) | ~$less($sum(X8,-1),X9) | $less($sum(X8,-1),0)) )), 15.15/2.50 inference(resolution,[],[f1707,f355])). 15.15/2.50 tff(f355,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : (mem(int,t2tb1(X0),t2tb(below1(X1))) | ~$less(X0,X1) | $less(X0,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f231])). 15.15/2.50 tff(f26486,plain,( 15.15/2.50 ~spl30_652 | spl30_5 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f26481,f17672,f509,f26483])). 15.15/2.50 tff(f26481,plain,( 15.15/2.50 ~subset(int,t2tb(sK8),t2tb(sK1)) | (spl30_5 | spl30_410)), 15.15/2.50 inference(subsumption_resolution,[],[f26458,f511])). 15.15/2.50 tff(f26458,plain,( 15.15/2.50 ~subset(int,t2tb(sK8),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | spl30_410), 15.15/2.50 inference(resolution,[],[f17725,f323])). 15.15/2.50 tff(f26415,plain,( 15.15/2.50 spl30_650 | ~spl30_651 | spl30_62), 15.15/2.50 inference(avatar_split_clause,[],[f26357,f1492,f26412,f26408])). 15.15/2.50 tff(f26408,plain,( 15.15/2.50 spl30_650 <=> infix_eqeq(int,t2tb(below1(sK15)),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_650])])). 15.15/2.50 tff(f26412,plain,( 15.15/2.50 spl30_651 <=> max_elt1(sK0) = tb2t1(sK25(int,t2tb(below1(sK15)),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_651])])). 15.15/2.50 tff(f1492,plain,( 15.15/2.50 spl30_62 <=> $less(max_elt1(sK0),sK15)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_62])])). 15.15/2.50 tff(f26357,plain,( 15.15/2.50 max_elt1(sK0) != tb2t1(sK25(int,t2tb(below1(sK15)),empty(int))) | infix_eqeq(int,t2tb(below1(sK15)),empty(int)) | spl30_62), 15.15/2.50 inference(constrained_resolution,[],[f2498,f1494])). 15.15/2.50 tff(f1494,plain,( 15.15/2.50 ~$less(max_elt1(sK0),sK15) | spl30_62), 15.15/2.50 inference(avatar_component_clause,[],[f1492])). 15.15/2.50 tff(f2498,plain,( 15.15/2.50 ( ! [X35 : $int] : ($less(tb2t1(sK25(int,t2tb(below1(X35)),empty(int))),X35) | infix_eqeq(int,t2tb(below1(X35)),empty(int))) )), 15.15/2.50 inference(resolution,[],[f1520,f804])). 15.15/2.50 tff(f26406,plain,( 15.15/2.50 spl30_647 | ~spl30_649 | spl30_353), 15.15/2.50 inference(avatar_split_clause,[],[f26355,f16105,f26403,f26394])). 15.15/2.50 tff(f26394,plain,( 15.15/2.50 spl30_647 <=> infix_eqeq(int,t2tb(below1(1)),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_647])])). 15.15/2.50 tff(f26403,plain,( 15.15/2.50 spl30_649 <=> min_elt1(succ1(sK0)) = tb2t1(sK25(int,t2tb(below1(1)),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_649])])). 15.15/2.50 tff(f16105,plain,( 15.15/2.50 spl30_353 <=> $less(min_elt1(succ1(sK0)),1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_353])])). 15.15/2.50 tff(f26355,plain,( 15.15/2.50 min_elt1(succ1(sK0)) != tb2t1(sK25(int,t2tb(below1(1)),empty(int))) | infix_eqeq(int,t2tb(below1(1)),empty(int)) | spl30_353), 15.15/2.50 inference(constrained_resolution,[],[f2498,f16107])). 15.15/2.50 tff(f16107,plain,( 15.15/2.50 ~$less(min_elt1(succ1(sK0)),1) | spl30_353), 15.15/2.50 inference(avatar_component_clause,[],[f16105])). 15.15/2.50 tff(f26401,plain,( 15.15/2.50 spl30_647 | ~spl30_648 | spl30_354), 15.15/2.50 inference(avatar_split_clause,[],[f26353,f16110,f26398,f26394])). 15.15/2.50 tff(f26398,plain,( 15.15/2.50 spl30_648 <=> max_elt1(succ1(sK0)) = tb2t1(sK25(int,t2tb(below1(1)),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_648])])). 15.15/2.50 tff(f16110,plain,( 15.15/2.50 spl30_354 <=> $less(max_elt1(succ1(sK0)),1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_354])])). 15.15/2.50 tff(f26353,plain,( 15.15/2.50 max_elt1(succ1(sK0)) != tb2t1(sK25(int,t2tb(below1(1)),empty(int))) | infix_eqeq(int,t2tb(below1(1)),empty(int)) | spl30_354), 15.15/2.50 inference(constrained_resolution,[],[f2498,f16112])). 15.15/2.50 tff(f16112,plain,( 15.15/2.50 ~$less(max_elt1(succ1(sK0)),1) | spl30_354), 15.15/2.50 inference(avatar_component_clause,[],[f16110])). 15.15/2.50 tff(f26392,plain,( 15.15/2.50 spl30_645 | ~spl30_646 | spl30_105), 15.15/2.50 inference(avatar_split_clause,[],[f26351,f2241,f26389,f26385])). 15.15/2.50 tff(f26385,plain,( 15.15/2.50 spl30_645 <=> infix_eqeq(int,t2tb(below1(n1)),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_645])])). 15.15/2.50 tff(f26389,plain,( 15.15/2.50 spl30_646 <=> sK5 = tb2t1(sK25(int,t2tb(below1(n1)),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_646])])). 15.15/2.50 tff(f26351,plain,( 15.15/2.50 sK5 != tb2t1(sK25(int,t2tb(below1(n1)),empty(int))) | infix_eqeq(int,t2tb(below1(n1)),empty(int)) | spl30_105), 15.15/2.50 inference(constrained_resolution,[],[f2498,f2243])). 15.15/2.50 tff(f26383,plain,( 15.15/2.50 spl30_643 | ~spl30_644 | spl30_423), 15.15/2.50 inference(avatar_split_clause,[],[f26350,f17944,f26380,f26376])). 15.15/2.50 tff(f26376,plain,( 15.15/2.50 spl30_643 <=> infix_eqeq(int,t2tb(below1(max_elt1(sK8))),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_643])])). 15.15/2.50 tff(f26380,plain,( 15.15/2.50 spl30_644 <=> max_elt1(sK0) = tb2t1(sK25(int,t2tb(below1(max_elt1(sK8))),empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_644])])). 15.15/2.50 tff(f17944,plain,( 15.15/2.50 spl30_423 <=> $less(max_elt1(sK0),max_elt1(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_423])])). 15.15/2.50 tff(f26350,plain,( 15.15/2.50 max_elt1(sK0) != tb2t1(sK25(int,t2tb(below1(max_elt1(sK8))),empty(int))) | infix_eqeq(int,t2tb(below1(max_elt1(sK8))),empty(int)) | spl30_423), 15.15/2.50 inference(constrained_resolution,[],[f2498,f17946])). 15.15/2.50 tff(f17946,plain,( 15.15/2.50 ~$less(max_elt1(sK0),max_elt1(sK8)) | spl30_423), 15.15/2.50 inference(avatar_component_clause,[],[f17944])). 15.15/2.50 tff(f26373,plain,( 15.15/2.50 ~spl30_641 | spl30_642 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f26345,f514,f26370,f26366])). 15.15/2.50 tff(f26366,plain,( 15.15/2.50 spl30_641 <=> mem(int,sK25(int,t2tb(below1(min_elt1(sK0))),empty(int)),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_641])])). 15.15/2.50 tff(f26370,plain,( 15.15/2.50 spl30_642 <=> infix_eqeq(int,t2tb(below1(min_elt1(sK0))),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_642])])). 15.15/2.50 tff(f26345,plain,( 15.15/2.50 infix_eqeq(int,t2tb(below1(min_elt1(sK0))),empty(int)) | ~mem(int,sK25(int,t2tb(below1(min_elt1(sK0))),empty(int)),t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f2498,f17896])). 15.15/2.50 tff(f17896,plain,( 15.15/2.50 ( ! [X0 : uni] : (~$less(tb2t1(X0),min_elt1(sK0)) | ~mem(int,X0,t2tb(sK8))) ) | ~spl30_6), 15.15/2.50 inference(superposition,[],[f17793,f315])). 15.15/2.50 tff(f17793,plain,( 15.15/2.50 ( ! [X5 : $int] : (~mem(int,t2tb1(X5),t2tb(sK8)) | ~$less(X5,min_elt1(sK0))) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16347,f1507])). 15.15/2.50 tff(f1507,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : set_int] : (~mem(int,t2tb1(X0),t2tb(X1)) | ~$less(X0,min_elt1(X1))) )), 15.15/2.50 inference(equality_resolution,[],[f1505])). 15.15/2.50 tff(f1505,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : set_int,X1 : $int] : (min_elt1(X0) != X2 | ~$less(X1,X2) | ~mem(int,t2tb1(X1),t2tb(X0))) )), 15.15/2.50 inference(subsumption_resolution,[],[f457,f332])). 15.15/2.50 tff(f457,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : set_int,X1 : $int] : (min_elt1(X0) != X2 | ~$less(X1,X2) | ~mem(int,t2tb1(X1),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 15.15/2.50 inference(theory_flattening,[],[f326])). 15.15/2.50 tff(f326,plain,( 15.15/2.50 ( ! [X0 : set_int,X1 : $int] : (~$less(X1,min_elt1(X0)) | ~mem(int,t2tb1(X1),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 15.15/2.50 inference(cnf_transformation,[],[f164])). 15.15/2.50 tff(f164,plain,( 15.15/2.50 ! [X0 : set_int] : (! [X1 : $int] : (~$less(X1,min_elt1(X0)) | ~mem(int,t2tb1(X1),t2tb(X0))) | is_empty(int,t2tb(X0)))), 15.15/2.50 inference(ennf_transformation,[],[f112])). 15.15/2.50 tff(f112,plain,( 15.15/2.50 ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) => ! [X1 : $int] : (mem(int,t2tb1(X1),t2tb(X0)) => ~$less(X1,min_elt1(X0))))), 15.15/2.50 inference(rectify,[],[f81])). 15.15/2.50 tff(f81,plain,( 15.15/2.50 ! [X2 : set_int] : (~is_empty(int,t2tb(X2)) => ! [X1 : $int] : (mem(int,t2tb1(X1),t2tb(X2)) => ~$less(X1,min_elt1(X2))))), 15.15/2.50 inference(theory_normalization,[],[f8])). 15.15/2.50 tff(f8,axiom,( 15.15/2.50 ! [X2 : set_int] : (~is_empty(int,t2tb(X2)) => ! [X1 : $int] : (mem(int,t2tb1(X1),t2tb(X2)) => $lesseq(min_elt1(X2),X1)))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_elt_def2)). 15.15/2.50 tff(f26329,plain,( 15.15/2.50 ~spl30_640 | spl30_637), 15.15/2.50 inference(avatar_split_clause,[],[f26320,f26223,f26326])). 15.15/2.50 tff(f26326,plain,( 15.15/2.50 spl30_640 <=> t2tb(sK0) = diff(int,t2tb(sK0),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_640])])). 15.15/2.50 tff(f26223,plain,( 15.15/2.50 spl30_637 <=> infix_eqeq(int,t2tb(sK0),diff(int,t2tb(sK0),t2tb(sK1)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_637])])). 15.15/2.50 tff(f26320,plain,( 15.15/2.50 t2tb(sK0) != diff(int,t2tb(sK0),t2tb(sK1)) | spl30_637), 15.15/2.50 inference(constrained_resolution,[],[f26225,f1573])). 15.15/2.50 tff(f26225,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK0),diff(int,t2tb(sK0),t2tb(sK1))) | spl30_637), 15.15/2.50 inference(avatar_component_clause,[],[f26223])). 15.15/2.50 tff(f26304,plain,( 15.15/2.50 ~spl30_639 | spl30_638 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f26251,f514,f26227,f26301])). 15.15/2.50 tff(f26301,plain,( 15.15/2.50 spl30_639 <=> infix_eqeq(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_639])])). 15.15/2.50 tff(f26227,plain,( 15.15/2.50 spl30_638 <=> ! [X3 : $int] : (~$less(X3,sK5) | ~mem(int,get(int,int,t2tb2(sK6),t2tb1(X3)),t2tb(sK8)) | $less(X3,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_638])])). 15.15/2.50 tff(f26251,plain,( 15.15/2.50 ( ! [X3 : $int] : (~$less(X3,sK5) | $less(X3,0) | ~infix_eqeq(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK0)) | ~mem(int,get(int,int,t2tb2(sK6),t2tb1(X3)),t2tb(sK8))) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f2543,f3461])). 15.15/2.50 tff(f2543,plain,( 15.15/2.50 ( ! [X4 : $int,X5 : uni] : (~mem(int,get(int,int,t2tb2(sK6),t2tb1(X4)),X5) | ~$less(X4,sK5) | $less(X4,0) | ~infix_eqeq(int,X5,t2tb(sK0))) )), 15.15/2.50 inference(resolution,[],[f1364,f375])). 15.15/2.50 tff(f26299,plain,( 15.15/2.50 spl30_638 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f26298,f514,f26227])). 15.15/2.50 tff(f26298,plain,( 15.15/2.50 ( ! [X2 : $int] : (~$less(X2,sK5) | $less(X2,0) | ~mem(int,get(int,int,t2tb2(sK6),t2tb1(X2)),t2tb(sK8))) ) | ~spl30_6), 15.15/2.50 inference(subsumption_resolution,[],[f26250,f1573])). 15.15/2.50 tff(f26250,plain,( 15.15/2.50 ( ! [X2 : $int] : (~$less(X2,sK5) | $less(X2,0) | ~infix_eqeq(int,t2tb(sK0),t2tb(sK0)) | ~mem(int,get(int,int,t2tb2(sK6),t2tb1(X2)),t2tb(sK8))) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f2543,f16347])). 15.15/2.50 tff(f26229,plain,( 15.15/2.50 ~spl30_637 | spl30_638 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f26174,f514,f26227,f26223])). 15.15/2.50 tff(f26174,plain,( 15.15/2.50 ( ! [X3 : $int] : (~$less(X3,sK5) | $less(X3,0) | ~infix_eqeq(int,t2tb(sK0),diff(int,t2tb(sK0),t2tb(sK1))) | ~mem(int,get(int,int,t2tb2(sK6),t2tb1(X3)),t2tb(sK8))) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f2542,f3461])). 15.15/2.50 tff(f2542,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : uni] : (~mem(int,get(int,int,t2tb2(sK6),t2tb1(X2)),X3) | ~$less(X2,sK5) | $less(X2,0) | ~infix_eqeq(int,t2tb(sK0),X3)) )), 15.15/2.50 inference(resolution,[],[f1364,f376])). 15.15/2.50 tff(f26104,plain,( 15.15/2.50 ~spl30_601 | spl30_630), 15.15/2.50 inference(avatar_split_clause,[],[f26102,f26034,f24555])). 15.15/2.50 tff(f24555,plain,( 15.15/2.50 spl30_601 <=> sK0 = sK8), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_601])])). 15.15/2.50 tff(f26034,plain,( 15.15/2.50 spl30_630 <=> infix_eqeq(int,t2tb(sK8),t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_630])])). 15.15/2.50 tff(f26102,plain,( 15.15/2.50 sK0 != sK8 | spl30_630), 15.15/2.50 inference(constrained_resolution,[],[f26035,f1573])). 15.15/2.50 tff(f26035,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK8),t2tb(sK0)) | spl30_630), 15.15/2.50 inference(avatar_component_clause,[],[f26034])). 15.15/2.50 tff(f26101,plain,( 15.15/2.50 spl30_636 | ~spl30_630), 15.15/2.50 inference(avatar_split_clause,[],[f26096,f26034,f26098])). 15.15/2.50 tff(f26098,plain,( 15.15/2.50 spl30_636 <=> t2tb(sK0) = t2tb(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_636])])). 15.15/2.50 tff(f26096,plain,( 15.15/2.50 t2tb(sK0) = t2tb(sK8) | ~spl30_630), 15.15/2.50 inference(subsumption_resolution,[],[f26095,f316])). 15.15/2.50 tff(f26095,plain,( 15.15/2.50 t2tb(sK0) = t2tb(sK8) | ~sort1(set(int),t2tb(sK8)) | ~spl30_630), 15.15/2.50 inference(subsumption_resolution,[],[f26084,f316])). 15.15/2.50 tff(f26084,plain,( 15.15/2.50 t2tb(sK0) = t2tb(sK8) | ~sort1(set(int),t2tb(sK0)) | ~sort1(set(int),t2tb(sK8)) | ~spl30_630), 15.15/2.50 inference(resolution,[],[f26036,f392])). 15.15/2.50 tff(f26036,plain,( 15.15/2.50 infix_eqeq(int,t2tb(sK8),t2tb(sK0)) | ~spl30_630), 15.15/2.50 inference(avatar_component_clause,[],[f26034])). 15.15/2.50 tff(f26094,plain,( 15.15/2.50 ~spl30_635 | spl30_514 | ~spl30_630), 15.15/2.50 inference(avatar_split_clause,[],[f26069,f26034,f22457,f26091])). 15.15/2.50 tff(f26091,plain,( 15.15/2.50 spl30_635 <=> mem(int,t2tb1(sK14),t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_635])])). 15.15/2.50 tff(f26069,plain,( 15.15/2.50 ~mem(int,t2tb1(sK14),t2tb(sK0)) | (spl30_514 | ~spl30_630)), 15.15/2.50 inference(resolution,[],[f26036,f22474])). 15.15/2.50 tff(f26089,plain,( 15.15/2.50 ~spl30_634 | spl30_586 | ~spl30_630), 15.15/2.50 inference(avatar_split_clause,[],[f26068,f26034,f24116,f26086])). 15.15/2.50 tff(f26086,plain,( 15.15/2.50 spl30_634 <=> mem(int,t2tb1(1),t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_634])])). 15.15/2.50 tff(f26068,plain,( 15.15/2.50 ~mem(int,t2tb1(1),t2tb(sK0)) | (spl30_586 | ~spl30_630)), 15.15/2.50 inference(resolution,[],[f26036,f24137])). 15.15/2.50 tff(f26067,plain,( 15.15/2.50 ~spl30_633 | ~spl30_147 | spl30_436), 15.15/2.50 inference(avatar_split_clause,[],[f26066,f18765,f4452,f26052])). 15.15/2.50 tff(f26052,plain,( 15.15/2.50 spl30_633 <=> $less(tb2t1(sK25(int,empty(int),t2tb(sK0))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_633])])). 15.15/2.50 tff(f18765,plain,( 15.15/2.50 spl30_436 <=> infix_eqeq(int,empty(int),t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_436])])). 15.15/2.50 tff(f26066,plain,( 15.15/2.50 ~$less(tb2t1(sK25(int,empty(int),t2tb(sK0))),0) | (~spl30_147 | spl30_436)), 15.15/2.50 inference(forward_demodulation,[],[f26065,f4651])). 15.15/2.50 tff(f26065,plain,( 15.15/2.50 ( ! [X51 : uni] : (~$less(tb2t1(sK25(int,inter(int,empty(int),X51),t2tb(sK0))),0)) ) | (~spl30_147 | spl30_436)), 15.15/2.50 inference(subsumption_resolution,[],[f26064,f18767])). 15.15/2.50 tff(f18767,plain,( 15.15/2.50 ~infix_eqeq(int,empty(int),t2tb(sK0)) | spl30_436), 15.15/2.50 inference(avatar_component_clause,[],[f18765])). 15.15/2.50 tff(f26064,plain,( 15.15/2.50 ( ! [X51 : uni] : (infix_eqeq(int,empty(int),t2tb(sK0)) | ~$less(tb2t1(sK25(int,inter(int,empty(int),X51),t2tb(sK0))),0)) ) | ~spl30_147), 15.15/2.50 inference(forward_demodulation,[],[f25979,f4651])). 15.15/2.50 tff(f25979,plain,( 15.15/2.50 ( ! [X51 : uni] : (infix_eqeq(int,inter(int,empty(int),X51),t2tb(sK0)) | ~$less(tb2t1(sK25(int,inter(int,empty(int),X51),t2tb(sK0))),0)) )), 15.15/2.50 inference(resolution,[],[f1534,f4189])). 15.15/2.50 tff(f4189,plain,( 15.15/2.50 ( ! [X6 : uni,X4 : ty,X5 : uni] : (~mem(X4,X5,inter(X4,empty(X4),X6))) )), 15.15/2.50 inference(resolution,[],[f3924,f1069])). 15.15/2.50 tff(f3924,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,inter(X0,X1,X2),X1)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f3890])). 15.15/2.50 tff(f3890,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,inter(X0,X1,X2),X1) | subset(X0,inter(X0,X1,X2),X1)) )), 15.15/2.50 inference(resolution,[],[f998,f383])). 15.15/2.50 tff(f26063,plain,( 15.15/2.50 ~spl30_633 | ~spl30_146 | spl30_436), 15.15/2.50 inference(avatar_split_clause,[],[f26062,f18765,f4283,f26052])). 15.15/2.50 tff(f26062,plain,( 15.15/2.50 ~$less(tb2t1(sK25(int,empty(int),t2tb(sK0))),0) | (~spl30_146 | spl30_436)), 15.15/2.50 inference(forward_demodulation,[],[f26061,f4350])). 15.15/2.50 tff(f26061,plain,( 15.15/2.50 ( ! [X50 : uni] : (~$less(tb2t1(sK25(int,inter(int,X50,empty(int)),t2tb(sK0))),0)) ) | (~spl30_146 | spl30_436)), 15.15/2.50 inference(subsumption_resolution,[],[f26060,f18767])). 15.15/2.50 tff(f26060,plain,( 15.15/2.50 ( ! [X50 : uni] : (infix_eqeq(int,empty(int),t2tb(sK0)) | ~$less(tb2t1(sK25(int,inter(int,X50,empty(int)),t2tb(sK0))),0)) ) | ~spl30_146), 15.15/2.50 inference(forward_demodulation,[],[f25978,f4350])). 15.15/2.50 tff(f25978,plain,( 15.15/2.50 ( ! [X50 : uni] : (infix_eqeq(int,inter(int,X50,empty(int)),t2tb(sK0)) | ~$less(tb2t1(sK25(int,inter(int,X50,empty(int)),t2tb(sK0))),0)) )), 15.15/2.50 inference(resolution,[],[f1534,f4159])). 15.15/2.50 tff(f4159,plain,( 15.15/2.50 ( ! [X6 : uni,X4 : ty,X5 : uni] : (~mem(X4,X5,inter(X4,X6,empty(X4)))) )), 15.15/2.50 inference(resolution,[],[f3844,f1069])). 15.15/2.50 tff(f3844,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,inter(X0,X1,X2),X2)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f3811])). 15.15/2.50 tff(f3811,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,inter(X0,X1,X2),X2) | subset(X0,inter(X0,X1,X2),X2)) )), 15.15/2.50 inference(resolution,[],[f952,f383])). 15.15/2.50 tff(f26055,plain,( 15.15/2.50 ~spl30_633 | spl30_436), 15.15/2.50 inference(avatar_split_clause,[],[f26050,f18765,f26052])). 15.15/2.50 tff(f26050,plain,( 15.15/2.50 ~$less(tb2t1(sK25(int,empty(int),t2tb(sK0))),0) | spl30_436), 15.15/2.50 inference(subsumption_resolution,[],[f25966,f18767])). 15.15/2.50 tff(f25966,plain,( 15.15/2.50 infix_eqeq(int,empty(int),t2tb(sK0)) | ~$less(tb2t1(sK25(int,empty(int),t2tb(sK0))),0)), 15.15/2.50 inference(resolution,[],[f1534,f351])). 15.15/2.50 tff(f26048,plain,( 15.15/2.50 ~spl30_632 | ~spl30_629 | spl30_630 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f25958,f514,f26034,f26030,f26045])). 15.15/2.50 tff(f26045,plain,( 15.15/2.50 spl30_632 <=> mem(int,sK25(int,t2tb(sK8),t2tb(sK0)),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_632])])). 15.15/2.50 tff(f26030,plain,( 15.15/2.50 spl30_629 <=> $less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_629])])). 15.15/2.50 tff(f25958,plain,( 15.15/2.50 infix_eqeq(int,t2tb(sK8),t2tb(sK0)) | ~$less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),0) | ~mem(int,sK25(int,t2tb(sK8),t2tb(sK0)),t2tb(sK2)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f1534,f3388])). 15.15/2.50 tff(f26043,plain,( 15.15/2.50 ~spl30_629 | spl30_630 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f25993,f514,f26034,f26030])). 15.15/2.50 tff(f25993,plain,( 15.15/2.50 infix_eqeq(int,t2tb(sK8),t2tb(sK0)) | ~$less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),0) | ~spl30_6), 15.15/2.50 inference(duplicate_literal_removal,[],[f25957])). 15.15/2.50 tff(f25957,plain,( 15.15/2.50 infix_eqeq(int,t2tb(sK8),t2tb(sK0)) | ~$less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),0) | ~$less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),0) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f1534,f16343])). 15.15/2.50 tff(f26042,plain,( 15.15/2.50 spl30_631 | ~spl30_629 | spl30_630 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f25956,f514,f26034,f26030,f26039])). 15.15/2.50 tff(f26039,plain,( 15.15/2.50 spl30_631 <=> $less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_631])])). 15.15/2.50 tff(f25956,plain,( 15.15/2.50 infix_eqeq(int,t2tb(sK8),t2tb(sK0)) | ~$less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),0) | $less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),n1) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f1534,f16342])). 15.15/2.50 tff(f26037,plain,( 15.15/2.50 ~spl30_628 | ~spl30_629 | spl30_630 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f25955,f514,f26034,f26030,f26026])). 15.15/2.50 tff(f26026,plain,( 15.15/2.50 spl30_628 <=> mem(int,sK25(int,t2tb(sK8),t2tb(sK0)),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_628])])). 15.15/2.50 tff(f25955,plain,( 15.15/2.50 infix_eqeq(int,t2tb(sK8),t2tb(sK0)) | ~$less(tb2t1(sK25(int,t2tb(sK8),t2tb(sK0))),0) | ~mem(int,sK25(int,t2tb(sK8),t2tb(sK0)),t2tb(sK1)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f1534,f16346])). 15.15/2.50 tff(f26024,plain,( 15.15/2.50 spl30_625 | ~spl30_626 | spl30_627), 15.15/2.50 inference(avatar_split_clause,[],[f25950,f26021,f26017,f26013])). 15.15/2.50 tff(f26013,plain,( 15.15/2.50 spl30_625 <=> $less(tb2t1(sK25(int,t2tb(pred1(succ1(sK0))),t2tb(sK0))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_625])])). 15.15/2.50 tff(f25950,plain,( 15.15/2.50 infix_eqeq(int,t2tb(pred1(succ1(sK0))),t2tb(sK0)) | ~$less(tb2t1(sK25(int,t2tb(pred1(succ1(sK0))),t2tb(sK0))),0) | $less(tb2t1(sK25(int,t2tb(pred1(succ1(sK0))),t2tb(sK0))),n1)), 15.15/2.50 inference(resolution,[],[f1534,f21448])). 15.15/2.50 tff(f26010,plain,( 15.15/2.50 spl30_622 | ~spl30_623 | spl30_624), 15.15/2.50 inference(avatar_split_clause,[],[f25940,f26007,f26003,f26000])). 15.15/2.50 tff(f26000,plain,( 15.15/2.50 spl30_622 <=> ! [X8 : $int] : (~mem(int,t2tb1(X8),t2tb(sK8)) | $less(tb2t1(sK25(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),t2tb(sK0))),X8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_622])])). 15.15/2.50 tff(f26003,plain,( 15.15/2.50 spl30_623 <=> $less(tb2t1(sK25(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),t2tb(sK0))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_623])])). 15.15/2.50 tff(f26007,plain,( 15.15/2.50 spl30_624 <=> infix_eqeq(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_624])])). 15.15/2.50 tff(f25940,plain,( 15.15/2.50 ( ! [X8 : $int] : (infix_eqeq(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),t2tb(sK0)) | ~$less(tb2t1(sK25(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),t2tb(sK0))),0) | ~mem(int,t2tb1(X8),t2tb(sK8)) | $less(tb2t1(sK25(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),t2tb(sK0))),X8)) )), 15.15/2.50 inference(resolution,[],[f1534,f1665])). 15.15/2.50 tff(f25918,plain,( 15.15/2.50 ~spl30_620 | spl30_621 | spl30_352), 15.15/2.50 inference(avatar_split_clause,[],[f25908,f16092,f25916,f25912])). 15.15/2.50 tff(f25912,plain,( 15.15/2.50 spl30_620 <=> 1 = min_elt1(succ1(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_620])])). 15.15/2.50 tff(f25916,plain,( 15.15/2.50 spl30_621 <=> ! [X0 : ty,X3 : $int,X2 : uni,X1 : uni] : (~$less(sK19(cardinal1(X0,X2)),X3) | cardinal1(X0,remove(X0,X1,X2)) != -1 | ~mem(X0,X1,X2) | ~$less(X3,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_621])])). 15.15/2.50 tff(f16092,plain,( 15.15/2.50 spl30_352 <=> $less(sK19($sum(min_elt1(succ1(sK1)),-1)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_352])])). 15.15/2.50 tff(f25908,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni] : (~$less(sK19(cardinal1(X0,X2)),X3) | ~$less(X3,0) | ~mem(X0,X1,X2) | 1 != min_elt1(succ1(sK1)) | cardinal1(X0,remove(X0,X1,X2)) != -1) ) | spl30_352), 15.15/2.50 inference(constrained_superposition,[],[f16521,f4341])). 15.15/2.50 tff(f16521,plain,( 15.15/2.50 ( ! [X1 : $int] : (~$less(sK19($sum(min_elt1(succ1(sK1)),-1)),X1) | ~$less(X1,0)) ) | spl30_352), 15.15/2.50 inference(resolution,[],[f16094,f2595])). 15.15/2.50 tff(f2595,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : ($less(X1,0) | ~$less(X0,0) | ~$less(X1,X0)) )), 15.15/2.50 inference(resolution,[],[f2483,f1120])). 15.15/2.50 tff(f1120,plain,( 15.15/2.50 ( ! [X8 : $int,X9 : $int] : (~is_empty(int,t2tb(below1(X9))) | $less(X8,0) | ~$less(X8,X9)) )), 15.15/2.50 inference(resolution,[],[f355,f332])). 15.15/2.50 tff(f16094,plain,( 15.15/2.50 ~$less(sK19($sum(min_elt1(succ1(sK1)),-1)),0) | spl30_352), 15.15/2.50 inference(avatar_component_clause,[],[f16092])). 15.15/2.50 tff(f25902,plain,( 15.15/2.50 spl30_618 | spl30_619), 15.15/2.50 inference(avatar_split_clause,[],[f25894,f25900,f25896])). 15.15/2.50 tff(f25896,plain,( 15.15/2.50 spl30_618 <=> mem(int,t2tb1(1),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_618])])). 15.15/2.50 tff(f25900,plain,( 15.15/2.50 spl30_619 <=> ! [X11 : ty,X13 : uni,X14 : $int,X12 : uni,X15 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(cardinal1(X11,remove(X11,X12,X13))))) != $sum(cardinal1(X11,X13),$uminus(X14)) | ~mem(X11,X12,X13) | ~$less(cardinal1(X11,remove(X11,X12,X13)),X15) | sK5 != X15 | sK5 != X14)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_619])])). 15.15/2.50 tff(f25894,plain,( 15.15/2.50 ( ! [X11 : ty,X14 : $int,X15 : $int,X12 : uni,X13 : uni] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(cardinal1(X11,remove(X11,X12,X13))))) != $sum(cardinal1(X11,X13),$uminus(X14)) | sK5 != X14 | sK5 != X15 | ~$less(cardinal1(X11,remove(X11,X12,X13)),X15) | mem(int,t2tb1(1),t2tb(sK1)) | ~mem(X11,X12,X13)) )), 15.15/2.50 inference(subsumption_resolution,[],[f25874,f669])). 15.15/2.50 tff(f669,plain,( 15.15/2.50 ( ! [X0 : ty,X1 : uni] : (~$less(cardinal1(X0,X1),0)) )), 15.15/2.50 inference(equality_resolution,[],[f458])). 15.15/2.50 tff(f458,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : ty,X1 : uni] : (cardinal1(X0,X1) != X2 | ~$less(X2,0)) )), 15.15/2.50 inference(theory_flattening,[],[f328])). 15.15/2.50 tff(f328,plain,( 15.15/2.50 ( ! [X0 : ty,X1 : uni] : (~$less(cardinal1(X0,X1),0)) )), 15.15/2.50 inference(cnf_transformation,[],[f114])). 15.15/2.50 tff(f114,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni] : ~$less(cardinal1(X0,X1),0)), 15.15/2.50 inference(rectify,[],[f82])). 15.15/2.50 tff(f82,plain,( 15.15/2.50 ! [X0 : ty,X2 : uni] : ~$less(cardinal1(X0,X2),0)), 15.15/2.50 inference(theory_normalization,[],[f60])). 15.15/2.50 tff(f60,axiom,( 15.15/2.50 ! [X0 : ty,X2 : uni] : $lesseq(0,cardinal1(X0,X2))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal_nonneg)). 15.15/2.50 tff(f25874,plain,( 15.15/2.50 ( ! [X11 : ty,X14 : $int,X15 : $int,X12 : uni,X13 : uni] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(cardinal1(X11,remove(X11,X12,X13))))) != $sum(cardinal1(X11,X13),$uminus(X14)) | sK5 != X14 | $less(cardinal1(X11,remove(X11,X12,X13)),0) | sK5 != X15 | ~$less(cardinal1(X11,remove(X11,X12,X13)),X15) | mem(int,t2tb1(1),t2tb(sK1)) | ~mem(X11,X12,X13)) )), 15.15/2.50 inference(evaluation,[],[f25873])). 15.15/2.50 tff(f25873,plain,( 15.15/2.50 ( ! [X11 : ty,X14 : $int,X15 : $int,X12 : uni,X13 : uni] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(cardinal1(X11,remove(X11,X12,X13))))) != $sum(cardinal1(X11,X13),$uminus(X14)) | sK5 != X14 | $less(cardinal1(X11,remove(X11,X12,X13)),0) | sK5 != X15 | ~$less(cardinal1(X11,remove(X11,X12,X13)),X15) | mem(int,t2tb1(1),t2tb(sK1)) | $less(1,0) | ~mem(X11,X12,X13)) )), 15.15/2.50 inference(superposition,[],[f1957,f4341])). 15.15/2.50 tff(f1957,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($sum($sum(X1,X2),$uminus(X0)) != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X2))) | sK5 != X0 | $less(X2,0) | sK5 != X3 | ~$less(X2,X3) | mem(int,t2tb1(X1),t2tb(sK1)) | $less(X1,0)) )), 15.15/2.50 inference(equality_resolution,[],[f446])). 15.15/2.50 tff(f446,plain,( 15.15/2.50 ( ! [X28 : $int,X29 : $int,X26 : $int,X27 : $int,X25 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != X27 | sK5 != X28 | $sum($sum(X25,X26),$uminus(X28)) != X27 | $less(X26,0) | sK5 != X29 | ~$less(X26,X29) | mem(int,t2tb1(X25),t2tb(sK1)) | $less(X25,0)) )), 15.15/2.50 inference(theory_flattening,[],[f271])). 15.15/2.50 tff(f271,plain,( 15.15/2.50 ( ! [X26 : $int,X25 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != $sum($sum(X25,X26),$uminus(sK5)) | $less(X26,0) | ~$less(X26,sK5) | mem(int,t2tb1(X25),t2tb(sK1)) | $less(X25,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f219])). 15.15/2.50 tff(f25893,plain,( 15.15/2.50 spl30_615 | spl30_617), 15.15/2.50 inference(avatar_split_clause,[],[f25875,f25891,f25883])). 15.15/2.50 tff(f25891,plain,( 15.15/2.50 spl30_617 <=> ! [X10 : $int,X9 : $int,X7 : uni,X6 : ty,X8 : uni] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X9))) != $sum(cardinal1(X6,X8),$uminus(X9)) | ~mem(X6,X7,X8) | $less(X9,0) | ~$less(X9,X10) | sK5 != X10 | sK5 != cardinal1(X6,remove(X6,X7,X8)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_617])])). 15.15/2.50 tff(f25875,plain,( 15.15/2.50 ( ! [X10 : $int,X8 : uni,X6 : ty,X9 : $int,X7 : uni] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X9))) != $sum(cardinal1(X6,X8),$uminus(X9)) | sK5 != cardinal1(X6,remove(X6,X7,X8)) | sK5 != X10 | ~$less(X9,X10) | $less(X9,0) | mem(int,t2tb1(1),t2tb(sK2)) | ~mem(X6,X7,X8)) )), 15.15/2.50 inference(evaluation,[],[f25872])). 15.15/2.50 tff(f25872,plain,( 15.15/2.50 ( ! [X10 : $int,X8 : uni,X6 : ty,X9 : $int,X7 : uni] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X9))) != $sum(cardinal1(X6,X8),$uminus(X9)) | sK5 != cardinal1(X6,remove(X6,X7,X8)) | sK5 != X10 | ~$less(X9,X10) | $less(X9,0) | mem(int,t2tb1(1),t2tb(sK2)) | $less(1,0) | ~mem(X6,X7,X8)) )), 15.15/2.50 inference(superposition,[],[f1989,f4341])). 15.15/2.50 tff(f1989,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($sum($sum(X1,X0),$uminus(X2)) != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X2))) | sK5 != X0 | sK5 != X3 | ~$less(X2,X3) | $less(X2,0) | mem(int,t2tb1(X1),t2tb(sK2)) | $less(X1,0)) )), 15.15/2.50 inference(equality_resolution,[],[f450])). 15.15/2.50 tff(f450,plain,( 15.15/2.50 ( ! [X31 : $int,X28 : $int,X29 : $int,X32 : $int,X30 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X29))) != X30 | sK5 != X31 | $sum($sum(X28,X31),$uminus(X29)) != X30 | sK5 != X32 | ~$less(X29,X32) | $less(X29,0) | mem(int,t2tb1(X28),t2tb(sK2)) | $less(X28,0)) )), 15.15/2.50 inference(theory_flattening,[],[f266])). 15.15/2.50 tff(f266,plain,( 15.15/2.50 ( ! [X28 : $int,X29 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X29))) != $sum($sum(X28,sK5),$uminus(X29)) | ~$less(X29,sK5) | $less(X29,0) | mem(int,t2tb1(X28),t2tb(sK2)) | $less(X28,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f219])). 15.15/2.50 tff(f25889,plain,( 15.15/2.50 spl30_615 | spl30_616), 15.15/2.50 inference(avatar_split_clause,[],[f25876,f25887,f25883])). 15.15/2.50 tff(f25887,plain,( 15.15/2.50 spl30_616 <=> ! [X5 : $int,X4 : $int,X0 : ty,X3 : uni,X2 : uni,X1 : uni] : ($sum(cardinal1(X0,X2),$uminus(tb2t1(X3))) != X4 | ~mem(X0,X1,X2) | $less(tb2t1(X3),0) | ~$less(tb2t1(X3),X5) | sK5 != X5 | tb2t1(get(int,int,t2tb2(sK6),X3)) != X4 | cardinal1(X0,remove(X0,X1,X2)) != sK5)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_616])])). 15.15/2.50 tff(f25876,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni,X4 : $int,X5 : $int] : ($sum(cardinal1(X0,X2),$uminus(tb2t1(X3))) != X4 | cardinal1(X0,remove(X0,X1,X2)) != sK5 | tb2t1(get(int,int,t2tb2(sK6),X3)) != X4 | sK5 != X5 | ~$less(tb2t1(X3),X5) | $less(tb2t1(X3),0) | mem(int,t2tb1(1),t2tb(sK2)) | ~mem(X0,X1,X2)) )), 15.15/2.50 inference(evaluation,[],[f25871])). 15.15/2.50 tff(f25871,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni,X4 : $int,X5 : $int] : ($sum(cardinal1(X0,X2),$uminus(tb2t1(X3))) != X4 | cardinal1(X0,remove(X0,X1,X2)) != sK5 | tb2t1(get(int,int,t2tb2(sK6),X3)) != X4 | sK5 != X5 | ~$less(tb2t1(X3),X5) | $less(tb2t1(X3),0) | mem(int,t2tb1(1),t2tb(sK2)) | $less(1,0) | ~mem(X0,X1,X2)) )), 15.15/2.50 inference(superposition,[],[f1984,f4341])). 15.15/2.50 tff(f1984,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int,X4 : $int] : ($sum($sum(X3,X2),$uminus(tb2t1(X0))) != X1 | sK5 != X2 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1 | sK5 != X4 | ~$less(tb2t1(X0),X4) | $less(tb2t1(X0),0) | mem(int,t2tb1(X3),t2tb(sK2)) | $less(X3,0)) )), 15.15/2.50 inference(superposition,[],[f450,f315])). 15.15/2.50 tff(f25795,plain,( 15.15/2.50 spl30_614 | spl30_231 | spl30_125), 15.15/2.50 inference(avatar_split_clause,[],[f25748,f3420,f7307,f25793])). 15.15/2.50 tff(f25793,plain,( 15.15/2.50 spl30_614 <=> ! [X25 : $int] : (~$less($sum(min_elt1(sK8),-1),X25) | ~subset(int,t2tb(succ1(below1(X25))),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_614])])). 15.15/2.50 tff(f25748,plain,( 15.15/2.50 ( ! [X25 : $int] : ($less(min_elt1(sK8),1) | ~$less($sum(min_elt1(sK8),-1),X25) | ~subset(int,t2tb(succ1(below1(X25))),t2tb(sK2))) ) | spl30_125), 15.15/2.50 inference(resolution,[],[f4151,f3479])). 15.15/2.50 tff(f25791,plain,( 15.15/2.50 spl30_613 | spl30_231 | spl30_125), 15.15/2.50 inference(avatar_split_clause,[],[f25747,f3420,f7307,f25789])). 15.15/2.50 tff(f25789,plain,( 15.15/2.50 spl30_613 <=> ! [X24 : $int] : (~$less($sum(min_elt1(sK8),-1),X24) | ~infix_eqeq(int,t2tb(sK2),t2tb(succ1(below1(X24)))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_613])])). 15.15/2.50 tff(f25747,plain,( 15.15/2.50 ( ! [X24 : $int] : ($less(min_elt1(sK8),1) | ~$less($sum(min_elt1(sK8),-1),X24) | ~infix_eqeq(int,t2tb(sK2),t2tb(succ1(below1(X24))))) ) | spl30_125), 15.15/2.50 inference(resolution,[],[f4151,f3480])). 15.15/2.50 tff(f25787,plain,( 15.15/2.50 spl30_612 | spl30_231 | spl30_125), 15.15/2.50 inference(avatar_split_clause,[],[f25746,f3420,f7307,f25785])). 15.15/2.50 tff(f25785,plain,( 15.15/2.50 spl30_612 <=> ! [X23 : $int] : (~$less($sum(min_elt1(sK8),-1),X23) | ~infix_eqeq(int,t2tb(succ1(below1(X23))),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_612])])). 15.15/2.50 tff(f25746,plain,( 15.15/2.50 ( ! [X23 : $int] : ($less(min_elt1(sK8),1) | ~$less($sum(min_elt1(sK8),-1),X23) | ~infix_eqeq(int,t2tb(succ1(below1(X23))),t2tb(sK2))) ) | spl30_125), 15.15/2.50 inference(resolution,[],[f4151,f3481])). 15.15/2.50 tff(f25783,plain,( 15.15/2.50 spl30_611 | spl30_609 | spl30_124), 15.15/2.50 inference(avatar_split_clause,[],[f25745,f3414,f25772,f25781])). 15.15/2.50 tff(f25781,plain,( 15.15/2.50 spl30_611 <=> ! [X22 : $int] : (~$less($sum(max_elt1(sK8),-1),X22) | ~subset(int,t2tb(succ1(below1(X22))),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_611])])). 15.15/2.50 tff(f25745,plain,( 15.15/2.50 ( ! [X22 : $int] : ($less(max_elt1(sK8),1) | ~$less($sum(max_elt1(sK8),-1),X22) | ~subset(int,t2tb(succ1(below1(X22))),t2tb(sK2))) ) | spl30_124), 15.15/2.50 inference(resolution,[],[f4151,f3469])). 15.15/2.50 tff(f25779,plain,( 15.15/2.50 spl30_610 | spl30_609 | spl30_124), 15.15/2.50 inference(avatar_split_clause,[],[f25744,f3414,f25772,f25777])). 15.15/2.50 tff(f25777,plain,( 15.15/2.50 spl30_610 <=> ! [X21 : $int] : (~$less($sum(max_elt1(sK8),-1),X21) | ~infix_eqeq(int,t2tb(sK2),t2tb(succ1(below1(X21)))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_610])])). 15.15/2.50 tff(f25744,plain,( 15.15/2.50 ( ! [X21 : $int] : ($less(max_elt1(sK8),1) | ~$less($sum(max_elt1(sK8),-1),X21) | ~infix_eqeq(int,t2tb(sK2),t2tb(succ1(below1(X21))))) ) | spl30_124), 15.15/2.50 inference(resolution,[],[f4151,f3470])). 15.15/2.50 tff(f25775,plain,( 15.15/2.50 spl30_608 | spl30_609 | spl30_124), 15.15/2.50 inference(avatar_split_clause,[],[f25743,f3414,f25772,f25769])). 15.15/2.50 tff(f25769,plain,( 15.15/2.50 spl30_608 <=> ! [X20 : $int] : (~$less($sum(max_elt1(sK8),-1),X20) | ~infix_eqeq(int,t2tb(succ1(below1(X20))),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_608])])). 15.15/2.50 tff(f25743,plain,( 15.15/2.50 ( ! [X20 : $int] : ($less(max_elt1(sK8),1) | ~$less($sum(max_elt1(sK8),-1),X20) | ~infix_eqeq(int,t2tb(succ1(below1(X20))),t2tb(sK2))) ) | spl30_124), 15.15/2.50 inference(resolution,[],[f4151,f3471])). 15.15/2.50 tff(f25429,plain,( 15.15/2.50 spl30_606 | ~spl30_607 | spl30_164), 15.15/2.50 inference(avatar_split_clause,[],[f25370,f5272,f25426,f25422])). 15.15/2.50 tff(f25422,plain,( 15.15/2.50 spl30_606 <=> is_empty(int,diff(int,t2tb(sK8),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_606])])). 15.15/2.50 tff(f25426,plain,( 15.15/2.50 spl30_607 <=> diff(int,t2tb(sK0),t2tb(sK1)) = t2tb(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_607])])). 15.15/2.50 tff(f5272,plain,( 15.15/2.50 spl30_164 <=> mem(int,t2tb1(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_164])])). 15.15/2.50 tff(f25370,plain,( 15.15/2.50 diff(int,t2tb(sK0),t2tb(sK1)) != t2tb(sK8) | is_empty(int,diff(int,t2tb(sK8),t2tb(sK2))) | spl30_164), 15.15/2.50 inference(constrained_resolution,[],[f1311,f5273])). 15.15/2.50 tff(f5273,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8)) | spl30_164), 15.15/2.50 inference(avatar_component_clause,[],[f5272])). 15.15/2.50 tff(f1311,plain,( 15.15/2.50 ( ! [X22 : uni,X23 : uni] : (mem(int,t2tb1(min_elt1(tb2t(diff(int,X22,X23)))),X22) | is_empty(int,diff(int,X22,X23))) )), 15.15/2.50 inference(resolution,[],[f879,f417])). 15.15/2.50 tff(f25241,plain,( 15.15/2.50 spl30_603 | ~spl30_605 | spl30_602), 15.15/2.50 inference(avatar_split_clause,[],[f25240,f25065,f25234,f25225])). 15.15/2.50 tff(f25225,plain,( 15.15/2.50 spl30_603 <=> is_empty(int,t2tb(succ1(sK8)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_603])])). 15.15/2.50 tff(f25234,plain,( 15.15/2.50 spl30_605 <=> 2 = max_elt1(succ1(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_605])])). 15.15/2.50 tff(f25065,plain,( 15.15/2.50 spl30_602 <=> mem(int,t2tb1(2),t2tb(succ1(sK8)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_602])])). 15.15/2.50 tff(f25240,plain,( 15.15/2.50 2 != max_elt1(succ1(sK8)) | is_empty(int,t2tb(succ1(sK8))) | spl30_602), 15.15/2.50 inference(forward_demodulation,[],[f25212,f309])). 15.15/2.50 tff(f25212,plain,( 15.15/2.50 2 != max_elt1(tb2t(t2tb(succ1(sK8)))) | is_empty(int,t2tb(succ1(sK8))) | spl30_602), 15.15/2.50 inference(constrained_resolution,[],[f25067,f845])). 15.15/2.50 tff(f25067,plain,( 15.15/2.50 ~mem(int,t2tb1(2),t2tb(succ1(sK8))) | spl30_602), 15.15/2.50 inference(avatar_component_clause,[],[f25065])). 15.15/2.50 tff(f25239,plain,( 15.15/2.50 spl30_603 | ~spl30_604 | spl30_602), 15.15/2.50 inference(avatar_split_clause,[],[f25238,f25065,f25229,f25225])). 15.15/2.50 tff(f25229,plain,( 15.15/2.50 spl30_604 <=> 2 = min_elt1(succ1(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_604])])). 15.15/2.50 tff(f25238,plain,( 15.15/2.50 2 != min_elt1(succ1(sK8)) | is_empty(int,t2tb(succ1(sK8))) | spl30_602), 15.15/2.50 inference(forward_demodulation,[],[f25210,f309])). 15.15/2.50 tff(f25210,plain,( 15.15/2.50 2 != min_elt1(tb2t(t2tb(succ1(sK8)))) | is_empty(int,t2tb(succ1(sK8))) | spl30_602), 15.15/2.50 inference(constrained_resolution,[],[f25067,f879])). 15.15/2.50 tff(f25237,plain,( 15.15/2.50 spl30_603 | ~spl30_605 | spl30_602), 15.15/2.50 inference(avatar_split_clause,[],[f25207,f25065,f25234,f25225])). 15.15/2.50 tff(f25207,plain,( 15.15/2.50 2 != max_elt1(succ1(sK8)) | is_empty(int,t2tb(succ1(sK8))) | spl30_602), 15.15/2.50 inference(constrained_resolution,[],[f25067,f323])). 15.15/2.50 tff(f25232,plain,( 15.15/2.50 spl30_603 | ~spl30_604 | spl30_602), 15.15/2.50 inference(avatar_split_clause,[],[f25206,f25065,f25229,f25225])). 15.15/2.50 tff(f25206,plain,( 15.15/2.50 2 != min_elt1(succ1(sK8)) | is_empty(int,t2tb(succ1(sK8))) | spl30_602), 15.15/2.50 inference(constrained_resolution,[],[f25067,f324])). 15.15/2.50 tff(f25068,plain,( 15.15/2.50 ~spl30_602 | spl30_586), 15.15/2.50 inference(avatar_split_clause,[],[f25063,f24116,f25065])). 15.15/2.50 tff(f25063,plain,( 15.15/2.50 ~mem(int,t2tb1(2),t2tb(succ1(sK8))) | spl30_586), 15.15/2.50 inference(equality_resolution,[],[f24140])). 15.15/2.50 tff(f24140,plain,( 15.15/2.50 ( ! [X0 : $int] : (2 != X0 | ~mem(int,t2tb1(X0),t2tb(succ1(sK8)))) ) | spl30_586), 15.15/2.50 inference(cancellation,[],[f24133])). 15.15/2.50 tff(f24133,plain,( 15.15/2.50 ( ! [X0 : $int] : (1 != $sum(X0,-1) | ~mem(int,t2tb1(X0),t2tb(succ1(sK8)))) ) | spl30_586), 15.15/2.50 inference(constrained_resolution,[],[f24118,f1607])). 15.15/2.50 tff(f24558,plain,( 15.15/2.50 ~spl30_600 | ~spl30_601 | ~spl30_3 | spl30_586), 15.15/2.50 inference(avatar_split_clause,[],[f24539,f24116,f499,f24555,f24551])). 15.15/2.50 tff(f24551,plain,( 15.15/2.50 spl30_600 <=> 1 = sK15), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_600])])). 15.15/2.50 tff(f499,plain,( 15.15/2.50 spl30_3 <=> mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_3])])). 15.15/2.50 tff(f24539,plain,( 15.15/2.50 sK0 != sK8 | 1 != sK15 | (~spl30_3 | spl30_586)), 15.15/2.50 inference(constrained_resolution,[],[f24373,f501])). 15.15/2.50 tff(f501,plain,( 15.15/2.50 mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | ~spl30_3), 15.15/2.50 inference(avatar_component_clause,[],[f499])). 15.15/2.50 tff(f24373,plain,( 15.15/2.50 ( ! [X14 : uni] : (~mem(int,t2tb1(1),remove(int,X14,t2tb(sK8)))) ) | spl30_586), 15.15/2.50 inference(resolution,[],[f24136,f371])). 15.15/2.50 tff(f371,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,remove(X0,X1,X2),X2)) )), 15.15/2.50 inference(cnf_transformation,[],[f1])). 15.15/2.50 tff(f1,axiom,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : subset(X0,remove(X0,X1,X2),X2)), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_remove)). 15.15/2.50 tff(f24265,plain,( 15.15/2.50 ~spl30_226 | ~spl30_598 | spl30_62 | ~spl30_165), 15.15/2.50 inference(avatar_split_clause,[],[f24225,f5276,f1492,f24255,f7279])). 15.15/2.50 tff(f7279,plain,( 15.15/2.50 spl30_226 <=> mem(int,t2tb1(sK15),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_226])])). 15.15/2.50 tff(f24255,plain,( 15.15/2.50 spl30_598 <=> max_elt1(sK0) = min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_598])])). 15.15/2.50 tff(f5276,plain,( 15.15/2.50 spl30_165 <=> ! [X1 : $int] : ($less(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X1) | ~mem(int,t2tb1(X1),t2tb(sK8)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_165])])). 15.15/2.50 tff(f24225,plain,( 15.15/2.50 max_elt1(sK0) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | ~mem(int,t2tb1(sK15),t2tb(sK8)) | (spl30_62 | ~spl30_165)), 15.15/2.50 inference(constrained_resolution,[],[f5277,f1494])). 15.15/2.50 tff(f5277,plain,( 15.15/2.50 ( ! [X1 : $int] : ($less(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X1) | ~mem(int,t2tb1(X1),t2tb(sK8))) ) | ~spl30_165), 15.15/2.50 inference(avatar_component_clause,[],[f5276])). 15.15/2.50 tff(f24264,plain,( 15.15/2.50 ~spl30_584 | ~spl30_599 | spl30_105 | ~spl30_165), 15.15/2.50 inference(avatar_split_clause,[],[f24216,f5276,f2241,f24261,f24107])). 15.15/2.50 tff(f24107,plain,( 15.15/2.50 spl30_584 <=> mem(int,t2tb1(n1),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_584])])). 15.15/2.50 tff(f24261,plain,( 15.15/2.50 spl30_599 <=> sK5 = min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_599])])). 15.15/2.50 tff(f24216,plain,( 15.15/2.50 sK5 != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | ~mem(int,t2tb1(n1),t2tb(sK8)) | (spl30_105 | ~spl30_165)), 15.15/2.50 inference(constrained_resolution,[],[f5277,f2243])). 15.15/2.50 tff(f24259,plain,( 15.15/2.50 ~spl30_366 | ~spl30_598 | ~spl30_165 | spl30_423), 15.15/2.50 inference(avatar_split_clause,[],[f24215,f17944,f5276,f24255,f16378])). 15.15/2.50 tff(f24215,plain,( 15.15/2.50 max_elt1(sK0) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK8)) | (~spl30_165 | spl30_423)), 15.15/2.50 inference(constrained_resolution,[],[f5277,f17946])). 15.15/2.50 tff(f24258,plain,( 15.15/2.50 ~spl30_598 | spl30_93 | ~spl30_6 | ~spl30_165), 15.15/2.50 inference(avatar_split_clause,[],[f24253,f5276,f514,f2018,f24255])). 15.15/2.50 tff(f24253,plain,( 15.15/2.50 ( ! [X15 : uni] : (~mem(int,X15,t2tb(sK8)) | max_elt1(sK0) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))) ) | (~spl30_6 | ~spl30_165)), 15.15/2.50 inference(duplicate_literal_removal,[],[f24252])). 15.15/2.50 tff(f24252,plain,( 15.15/2.50 ( ! [X15 : uni] : (~mem(int,X15,t2tb(sK8)) | max_elt1(sK0) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | ~mem(int,X15,t2tb(sK8))) ) | (~spl30_6 | ~spl30_165)), 15.15/2.50 inference(forward_demodulation,[],[f24214,f315])). 15.15/2.50 tff(f24214,plain,( 15.15/2.50 ( ! [X15 : uni] : (max_elt1(sK0) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | ~mem(int,t2tb1(tb2t1(X15)),t2tb(sK8)) | ~mem(int,X15,t2tb(sK8))) ) | (~spl30_6 | ~spl30_165)), 15.15/2.50 inference(constrained_resolution,[],[f5277,f17941])). 15.15/2.50 tff(f17941,plain,( 15.15/2.50 ( ! [X0 : uni] : (~$less(max_elt1(sK0),tb2t1(X0)) | ~mem(int,X0,t2tb(sK8))) ) | ~spl30_6), 15.15/2.50 inference(superposition,[],[f17794,f315])). 15.15/2.50 tff(f17794,plain,( 15.15/2.50 ( ! [X6 : $int] : (~mem(int,t2tb1(X6),t2tb(sK8)) | ~$less(max_elt1(sK0),X6)) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16347,f1478])). 15.15/2.50 tff(f24251,plain,( 15.15/2.50 spl30_596 | spl30_597 | ~spl30_165), 15.15/2.50 inference(avatar_split_clause,[],[f24212,f5276,f24249,f24245])). 15.15/2.50 tff(f24245,plain,( 15.15/2.50 spl30_596 <=> $less(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_596])])). 15.15/2.50 tff(f24249,plain,( 15.15/2.50 spl30_597 <=> ! [X12 : $int] : (~mem(int,t2tb1(min_elt1(below1(X12))),t2tb(sK8)) | ~$less(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X12))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_597])])). 15.15/2.50 tff(f24212,plain,( 15.15/2.50 ( ! [X12 : $int] : (~mem(int,t2tb1(min_elt1(below1(X12))),t2tb(sK8)) | ~$less(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X12) | $less(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),0)) ) | ~spl30_165), 15.15/2.50 inference(resolution,[],[f5277,f1542])). 15.15/2.50 tff(f1542,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (~$less(X2,min_elt1(below1(X3))) | ~$less(X2,X3) | $less(X2,0)) )), 15.15/2.50 inference(resolution,[],[f1507,f355])). 15.15/2.50 tff(f24243,plain,( 15.15/2.50 ~spl30_595 | ~spl30_592 | ~spl30_165 | spl30_422), 15.15/2.50 inference(avatar_split_clause,[],[f24210,f17905,f5276,f24187,f24240])). 15.15/2.50 tff(f24240,plain,( 15.15/2.50 spl30_595 <=> mem(int,t2tb1(min_elt1(sK0)),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_595])])). 15.15/2.50 tff(f24187,plain,( 15.15/2.50 spl30_592 <=> sK8 = tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_592])])). 15.15/2.50 tff(f17905,plain,( 15.15/2.50 spl30_422 <=> $less(min_elt1(sK8),min_elt1(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_422])])). 15.15/2.50 tff(f24210,plain,( 15.15/2.50 sK8 != tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~mem(int,t2tb1(min_elt1(sK0)),t2tb(sK8)) | (~spl30_165 | spl30_422)), 15.15/2.50 inference(constrained_resolution,[],[f5277,f17907])). 15.15/2.50 tff(f17907,plain,( 15.15/2.50 ~$less(min_elt1(sK8),min_elt1(sK0)) | spl30_422), 15.15/2.50 inference(avatar_component_clause,[],[f17905])). 15.15/2.50 tff(f24238,plain,( 15.15/2.50 spl30_579 | ~spl30_594 | ~spl30_165 | ~spl30_180), 15.15/2.50 inference(avatar_split_clause,[],[f24208,f5920,f5276,f24235,f24081])). 15.15/2.50 tff(f24081,plain,( 15.15/2.50 spl30_579 <=> ! [X6 : uni] : (~mem(int,t2tb1(cardinal1(int,X6)),t2tb(sK8)) | ~subset(int,X6,empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_579])])). 15.15/2.50 tff(f24235,plain,( 15.15/2.50 spl30_594 <=> 0 = min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_594])])). 15.15/2.50 tff(f5920,plain,( 15.15/2.50 spl30_180 <=> 0 = cardinal1(int,empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_180])])). 15.15/2.50 tff(f24208,plain,( 15.15/2.50 ( ! [X8 : uni] : (0 != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | ~mem(int,t2tb1(cardinal1(int,X8)),t2tb(sK8)) | ~subset(int,X8,empty(int))) ) | (~spl30_165 | ~spl30_180)), 15.15/2.50 inference(constrained_resolution,[],[f5277,f6268])). 15.15/2.50 tff(f6268,plain,( 15.15/2.50 ( ! [X25 : uni] : (~$less(0,cardinal1(int,X25)) | ~subset(int,X25,empty(int))) ) | ~spl30_180), 15.15/2.50 inference(superposition,[],[f2803,f5922])). 15.15/2.50 tff(f5922,plain,( 15.15/2.50 0 = cardinal1(int,empty(int)) | ~spl30_180), 15.15/2.50 inference(avatar_component_clause,[],[f5920])). 15.15/2.50 tff(f2803,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~$less(cardinal1(X0,X1),cardinal1(X0,X2)) | ~subset(X0,X2,X1)) )), 15.15/2.50 inference(equality_resolution,[],[f1518])). 15.15/2.50 tff(f1518,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,X1) != X2 | ~$less(cardinal1(X0,X3),X2) | ~subset(X0,X1,X3)) )), 15.15/2.50 inference(equality_resolution,[],[f477])). 15.15/2.50 tff(f477,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (cardinal1(X0,X2) != X3 | cardinal1(X0,X1) != X4 | ~$less(X3,X4) | ~subset(X0,X1,X2)) )), 15.15/2.50 inference(theory_flattening,[],[f395])). 15.15/2.50 tff(f395,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~$less(cardinal1(X0,X2),cardinal1(X0,X1)) | ~subset(X0,X1,X2)) )), 15.15/2.50 inference(cnf_transformation,[],[f191])). 15.15/2.50 tff(f191,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : (~$less(cardinal1(X0,X2),cardinal1(X0,X1)) | ~subset(X0,X1,X2))), 15.15/2.50 inference(ennf_transformation,[],[f144])). 15.15/2.50 tff(f144,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : (subset(X0,X1,X2) => ~$less(cardinal1(X0,X2),cardinal1(X0,X1)))), 15.15/2.50 inference(rectify,[],[f90])). 15.15/2.50 tff(f90,plain,( 15.15/2.50 ! [X0 : ty,X3 : uni,X4 : uni] : (subset(X0,X3,X4) => ~$less(cardinal1(X0,X4),cardinal1(X0,X3)))), 15.15/2.50 inference(theory_normalization,[],[f64])). 15.15/2.50 tff(f64,axiom,( 15.15/2.50 ! [X0 : ty,X3 : uni,X4 : uni] : (subset(X0,X3,X4) => $lesseq(cardinal1(X0,X3),cardinal1(X0,X4)))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal_subset)). 15.15/2.50 tff(f24201,plain,( 15.15/2.50 ~spl30_593 | spl30_5 | spl30_164), 15.15/2.50 inference(avatar_split_clause,[],[f24196,f5272,f509,f24198])). 15.15/2.50 tff(f24198,plain,( 15.15/2.50 spl30_593 <=> diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)) = t2tb(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_593])])). 15.15/2.50 tff(f24196,plain,( 15.15/2.50 diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)) != t2tb(sK8) | (spl30_5 | spl30_164)), 15.15/2.50 inference(subsumption_resolution,[],[f24167,f511])). 15.15/2.50 tff(f24167,plain,( 15.15/2.50 diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)) != t2tb(sK8) | is_empty(int,t2tb(sK8)) | spl30_164), 15.15/2.50 inference(constrained_resolution,[],[f5273,f879])). 15.15/2.50 tff(f24195,plain,( 15.15/2.50 ~spl30_591 | spl30_5 | spl30_164), 15.15/2.50 inference(avatar_split_clause,[],[f24194,f5272,f509,f24181])). 15.15/2.50 tff(f24181,plain,( 15.15/2.50 spl30_591 <=> max_elt1(sK8) = min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_591])])). 15.15/2.50 tff(f24194,plain,( 15.15/2.50 max_elt1(sK8) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | (spl30_5 | spl30_164)), 15.15/2.50 inference(forward_demodulation,[],[f24193,f309])). 15.15/2.50 tff(f24193,plain,( 15.15/2.50 max_elt1(tb2t(t2tb(sK8))) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | (spl30_5 | spl30_164)), 15.15/2.50 inference(subsumption_resolution,[],[f24166,f511])). 15.15/2.50 tff(f24166,plain,( 15.15/2.50 max_elt1(tb2t(t2tb(sK8))) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | is_empty(int,t2tb(sK8)) | spl30_164), 15.15/2.50 inference(constrained_resolution,[],[f5273,f845])). 15.15/2.50 tff(f24190,plain,( 15.15/2.50 ~spl30_592 | spl30_5 | spl30_164), 15.15/2.50 inference(avatar_split_clause,[],[f24185,f5272,f509,f24187])). 15.15/2.50 tff(f24185,plain,( 15.15/2.50 sK8 != tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | (spl30_5 | spl30_164)), 15.15/2.50 inference(subsumption_resolution,[],[f24163,f511])). 15.15/2.50 tff(f24163,plain,( 15.15/2.50 sK8 != tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | is_empty(int,t2tb(sK8)) | spl30_164), 15.15/2.50 inference(constrained_resolution,[],[f5273,f324])). 15.15/2.50 tff(f24184,plain,( 15.15/2.50 ~spl30_591 | spl30_5 | spl30_164), 15.15/2.50 inference(avatar_split_clause,[],[f24179,f5272,f509,f24181])). 15.15/2.50 tff(f24179,plain,( 15.15/2.50 max_elt1(sK8) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | (spl30_5 | spl30_164)), 15.15/2.50 inference(subsumption_resolution,[],[f24162,f511])). 15.15/2.50 tff(f24162,plain,( 15.15/2.50 max_elt1(sK8) != min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | is_empty(int,t2tb(sK8)) | spl30_164), 15.15/2.50 inference(constrained_resolution,[],[f5273,f323])). 15.15/2.50 tff(f24161,plain,( 15.15/2.50 ~spl30_590 | spl30_5 | spl30_586), 15.15/2.50 inference(avatar_split_clause,[],[f24160,f24116,f509,f24150])). 15.15/2.50 tff(f24150,plain,( 15.15/2.50 spl30_590 <=> 1 = max_elt1(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_590])])). 15.15/2.50 tff(f24160,plain,( 15.15/2.50 1 != max_elt1(sK8) | (spl30_5 | spl30_586)), 15.15/2.50 inference(forward_demodulation,[],[f24159,f309])). 15.15/2.50 tff(f24159,plain,( 15.15/2.50 1 != max_elt1(tb2t(t2tb(sK8))) | (spl30_5 | spl30_586)), 15.15/2.50 inference(subsumption_resolution,[],[f24135,f511])). 15.15/2.50 tff(f24135,plain,( 15.15/2.50 1 != max_elt1(tb2t(t2tb(sK8))) | is_empty(int,t2tb(sK8)) | spl30_586), 15.15/2.50 inference(constrained_resolution,[],[f24118,f845])). 15.15/2.50 tff(f24158,plain,( 15.15/2.50 ~spl30_589 | spl30_5 | spl30_586), 15.15/2.50 inference(avatar_split_clause,[],[f24157,f24116,f509,f24144])). 15.15/2.50 tff(f24144,plain,( 15.15/2.50 spl30_589 <=> 1 = min_elt1(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_589])])). 15.15/2.50 tff(f24157,plain,( 15.15/2.50 1 != min_elt1(sK8) | (spl30_5 | spl30_586)), 15.15/2.50 inference(forward_demodulation,[],[f24156,f309])). 15.15/2.50 tff(f24156,plain,( 15.15/2.50 1 != min_elt1(tb2t(t2tb(sK8))) | (spl30_5 | spl30_586)), 15.15/2.50 inference(subsumption_resolution,[],[f24134,f511])). 15.15/2.50 tff(f24134,plain,( 15.15/2.50 1 != min_elt1(tb2t(t2tb(sK8))) | is_empty(int,t2tb(sK8)) | spl30_586), 15.15/2.50 inference(constrained_resolution,[],[f24118,f879])). 15.15/2.50 tff(f24153,plain,( 15.15/2.50 ~spl30_590 | spl30_5 | spl30_586), 15.15/2.50 inference(avatar_split_clause,[],[f24148,f24116,f509,f24150])). 15.15/2.50 tff(f24148,plain,( 15.15/2.50 1 != max_elt1(sK8) | (spl30_5 | spl30_586)), 15.15/2.50 inference(subsumption_resolution,[],[f24131,f511])). 15.15/2.50 tff(f24131,plain,( 15.15/2.50 1 != max_elt1(sK8) | is_empty(int,t2tb(sK8)) | spl30_586), 15.15/2.50 inference(constrained_resolution,[],[f24118,f323])). 15.15/2.50 tff(f24147,plain,( 15.15/2.50 ~spl30_589 | spl30_5 | spl30_586), 15.15/2.50 inference(avatar_split_clause,[],[f24142,f24116,f509,f24144])). 15.15/2.50 tff(f24142,plain,( 15.15/2.50 1 != min_elt1(sK8) | (spl30_5 | spl30_586)), 15.15/2.50 inference(subsumption_resolution,[],[f24130,f511])). 15.15/2.50 tff(f24130,plain,( 15.15/2.50 1 != min_elt1(sK8) | is_empty(int,t2tb(sK8)) | spl30_586), 15.15/2.50 inference(constrained_resolution,[],[f24118,f324])). 15.15/2.50 tff(f24129,plain,( 15.15/2.50 ~spl30_226 | ~spl30_583 | spl30_62 | ~spl30_163), 15.15/2.50 inference(avatar_split_clause,[],[f24071,f5267,f1492,f24102,f7279])). 15.15/2.50 tff(f24102,plain,( 15.15/2.50 spl30_583 <=> sK0 = tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_583])])). 15.15/2.50 tff(f5267,plain,( 15.15/2.50 spl30_163 <=> ! [X0 : $int] : ($less(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X0) | ~mem(int,t2tb1(X0),t2tb(sK8)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_163])])). 15.15/2.50 tff(f24071,plain,( 15.15/2.50 sK0 != tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~mem(int,t2tb1(sK15),t2tb(sK8)) | (spl30_62 | ~spl30_163)), 15.15/2.50 inference(constrained_resolution,[],[f5268,f1494])). 15.15/2.50 tff(f5268,plain,( 15.15/2.50 ( ! [X0 : $int] : ($less(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X0) | ~mem(int,t2tb1(X0),t2tb(sK8))) ) | ~spl30_163), 15.15/2.50 inference(avatar_component_clause,[],[f5267])). 15.15/2.50 tff(f24128,plain,( 15.15/2.50 ~spl30_586 | ~spl30_588 | ~spl30_163 | spl30_354), 15.15/2.50 inference(avatar_split_clause,[],[f24069,f16110,f5267,f24125,f24116])). 15.15/2.50 tff(f24125,plain,( 15.15/2.50 spl30_588 <=> succ1(sK0) = tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_588])])). 15.15/2.50 tff(f24069,plain,( 15.15/2.50 succ1(sK0) != tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~mem(int,t2tb1(1),t2tb(sK8)) | (~spl30_163 | spl30_354)), 15.15/2.50 inference(constrained_resolution,[],[f5268,f16112])). 15.15/2.50 tff(f24123,plain,( 15.15/2.50 ~spl30_586 | ~spl30_587 | ~spl30_163 | spl30_353), 15.15/2.50 inference(avatar_split_clause,[],[f24067,f16105,f5267,f24120,f24116])). 15.15/2.50 tff(f24120,plain,( 15.15/2.50 spl30_587 <=> max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) = min_elt1(succ1(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_587])])). 15.15/2.50 tff(f24067,plain,( 15.15/2.50 max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) != min_elt1(succ1(sK0)) | ~mem(int,t2tb1(1),t2tb(sK8)) | (~spl30_163 | spl30_353)), 15.15/2.50 inference(constrained_resolution,[],[f5268,f16107])). 15.15/2.50 tff(f24114,plain,( 15.15/2.50 ~spl30_584 | ~spl30_585 | spl30_105 | ~spl30_163), 15.15/2.50 inference(avatar_split_clause,[],[f24062,f5267,f2241,f24111,f24107])). 15.15/2.50 tff(f24111,plain,( 15.15/2.50 spl30_585 <=> sK5 = max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_585])])). 15.15/2.50 tff(f24062,plain,( 15.15/2.50 sK5 != max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | ~mem(int,t2tb1(n1),t2tb(sK8)) | (spl30_105 | ~spl30_163)), 15.15/2.50 inference(constrained_resolution,[],[f5268,f2243])). 15.15/2.50 tff(f24105,plain,( 15.15/2.50 ~spl30_366 | ~spl30_583 | ~spl30_163 | spl30_423), 15.15/2.50 inference(avatar_split_clause,[],[f24061,f17944,f5267,f24102,f16378])). 15.15/2.50 tff(f24061,plain,( 15.15/2.50 sK0 != tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK8)) | (~spl30_163 | spl30_423)), 15.15/2.50 inference(constrained_resolution,[],[f5268,f17946])). 15.15/2.50 tff(f24098,plain,( 15.15/2.50 spl30_581 | spl30_582 | ~spl30_163), 15.15/2.50 inference(avatar_split_clause,[],[f24059,f5267,f24096,f24092])). 15.15/2.50 tff(f24092,plain,( 15.15/2.50 spl30_581 <=> $less(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_581])])). 15.15/2.50 tff(f24096,plain,( 15.15/2.50 spl30_582 <=> ! [X10 : $int] : (~mem(int,t2tb1(min_elt1(below1(X10))),t2tb(sK8)) | ~$less(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X10))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_582])])). 15.15/2.50 tff(f24059,plain,( 15.15/2.50 ( ! [X10 : $int] : (~mem(int,t2tb1(min_elt1(below1(X10))),t2tb(sK8)) | ~$less(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X10) | $less(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),0)) ) | ~spl30_163), 15.15/2.50 inference(resolution,[],[f5268,f1542])). 15.15/2.50 tff(f24090,plain,( 15.15/2.50 ~spl30_164 | spl30_92 | ~spl30_163), 15.15/2.50 inference(avatar_split_clause,[],[f24089,f5267,f2014,f5272])). 15.15/2.50 tff(f2014,plain,( 15.15/2.50 spl30_92 <=> is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_92])])). 15.15/2.50 tff(f24089,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8)) | (spl30_92 | ~spl30_163)), 15.15/2.50 inference(subsumption_resolution,[],[f24088,f2016])). 15.15/2.50 tff(f2016,plain,( 15.15/2.50 ~is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | spl30_92), 15.15/2.50 inference(avatar_component_clause,[],[f2014])). 15.15/2.50 tff(f24088,plain,( 15.15/2.50 is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~mem(int,t2tb1(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8)) | ~spl30_163), 15.15/2.50 inference(forward_demodulation,[],[f24057,f314])). 15.15/2.50 tff(f24057,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8)) | is_empty(int,t2tb(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))) | ~spl30_163), 15.15/2.50 inference(resolution,[],[f5268,f1480])). 15.15/2.50 tff(f1480,plain,( 15.15/2.50 ( ! [X1 : set_int] : (~$less(max_elt1(X1),min_elt1(X1)) | is_empty(int,t2tb(X1))) )), 15.15/2.50 inference(resolution,[],[f1478,f324])). 15.15/2.50 tff(f24087,plain,( 15.15/2.50 spl30_579 | ~spl30_580 | ~spl30_163 | ~spl30_180), 15.15/2.50 inference(avatar_split_clause,[],[f24055,f5920,f5267,f24084,f24081])). 15.15/2.50 tff(f24084,plain,( 15.15/2.50 spl30_580 <=> 0 = max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_580])])). 15.15/2.50 tff(f24055,plain,( 15.15/2.50 ( ! [X6 : uni] : (0 != max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) | ~mem(int,t2tb1(cardinal1(int,X6)),t2tb(sK8)) | ~subset(int,X6,empty(int))) ) | (~spl30_163 | ~spl30_180)), 15.15/2.50 inference(constrained_resolution,[],[f5268,f6268])). 15.15/2.50 tff(f24046,plain,( 15.15/2.50 ~spl30_578 | spl30_105 | ~spl30_572), 15.15/2.50 inference(avatar_split_clause,[],[f24031,f23889,f2241,f24043])). 15.15/2.50 tff(f24031,plain,( 15.15/2.50 sK5 != tb2t1(sK21(int,t2tb(pred1(succ1(sK0))))) | (spl30_105 | ~spl30_572)), 15.15/2.50 inference(constrained_resolution,[],[f23891,f2243])). 15.15/2.50 tff(f23931,plain,( 15.15/2.50 ~spl30_576 | spl30_577 | ~spl30_571), 15.15/2.50 inference(avatar_split_clause,[],[f23918,f23883,f23929,f23925])). 15.15/2.50 tff(f23929,plain,( 15.15/2.50 spl30_577 <=> ! [X0 : uni] : ($less(tb2t1(X0),n1) | ~mem(int,X0,t2tb(below1(1))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_577])])). 15.15/2.50 tff(f23918,plain,( 15.15/2.50 ( ! [X0 : uni] : ($less(tb2t1(X0),n1) | ~mem(int,X0,t2tb(below1(1))) | below1(1) != pred1(succ1(sK0))) ) | ~spl30_571), 15.15/2.50 inference(constrained_superposition,[],[f23885,f4239])). 15.15/2.50 tff(f4239,plain,( 15.15/2.50 ( ! [X0 : uni] : (choose(int,t2tb(below1(1))) = X0 | ~mem(int,X0,t2tb(below1(1)))) )), 15.15/2.50 inference(evaluation,[],[f4238])). 15.15/2.50 tff(f4238,plain,( 15.15/2.50 ( ! [X0 : uni] : (~mem(int,X0,t2tb(below1(1))) | choose(int,t2tb(below1(1))) = X0 | $less(1,0)) )), 15.15/2.50 inference(equality_resolution,[],[f1372])). 15.15/2.50 tff(f1372,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : uni] : (1 != X3 | ~mem(int,X4,t2tb(below1(X3))) | choose(int,t2tb(below1(X3))) = X4 | $less(X3,0)) )), 15.15/2.50 inference(subsumption_resolution,[],[f1370,f613])). 15.15/2.50 tff(f1370,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : uni] : (1 != X3 | ~mem(int,X4,t2tb(below1(X3))) | ~sort1(int,X4) | choose(int,t2tb(below1(X3))) = X4 | $less(X3,0)) )), 15.15/2.50 inference(superposition,[],[f338,f320])). 15.15/2.50 tff(f320,plain,( 15.15/2.50 ( ! [X0 : $int] : (cardinal1(int,t2tb(below1(X0))) = X0 | $less(X0,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f160])). 15.15/2.50 tff(f338,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (1 != cardinal1(X0,X1) | ~mem(X0,X2,X1) | ~sort1(X0,X2) | choose(X0,X1) = X2) )), 15.15/2.50 inference(cnf_transformation,[],[f170])). 15.15/2.50 tff(f170,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni] : (! [X2 : uni] : (choose(X0,X1) = X2 | ~mem(X0,X2,X1) | ~sort1(X0,X2)) | 1 != cardinal1(X0,X1))), 15.15/2.50 inference(flattening,[],[f169])). 15.15/2.50 tff(f169,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni] : (! [X2 : uni] : ((choose(X0,X1) = X2 | ~mem(X0,X2,X1)) | ~sort1(X0,X2)) | 1 != cardinal1(X0,X1))), 15.15/2.50 inference(ennf_transformation,[],[f119])). 15.15/2.50 tff(f119,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni] : (1 = cardinal1(X0,X1) => ! [X2 : uni] : (sort1(X0,X2) => (mem(X0,X2,X1) => choose(X0,X1) = X2)))), 15.15/2.50 inference(rectify,[],[f24])). 15.15/2.50 tff(f24,axiom,( 15.15/2.50 ! [X0 : ty,X2 : uni] : (cardinal1(X0,X2) = 1 => ! [X1 : uni] : (sort1(X0,X1) => (mem(X0,X1,X2) => choose(X0,X2) = X1)))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal1)). 15.15/2.50 tff(f23923,plain,( 15.15/2.50 ~spl30_575 | spl30_105 | ~spl30_571), 15.15/2.50 inference(avatar_split_clause,[],[f23910,f23883,f2241,f23920])). 15.15/2.50 tff(f23910,plain,( 15.15/2.50 sK5 != tb2t1(choose(int,t2tb(pred1(succ1(sK0))))) | (spl30_105 | ~spl30_571)), 15.15/2.50 inference(constrained_resolution,[],[f23885,f2243])). 15.15/2.50 tff(f23901,plain,( 15.15/2.50 spl30_573 | spl30_574), 15.15/2.50 inference(avatar_split_clause,[],[f23836,f23898,f23894])). 15.15/2.50 tff(f23898,plain,( 15.15/2.50 spl30_574 <=> $less(tb2t1(sK25(int,t2tb(pred1(succ1(sK0))),empty(int))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_574])])). 15.15/2.50 tff(f23836,plain,( 15.15/2.50 $less(tb2t1(sK25(int,t2tb(pred1(succ1(sK0))),empty(int))),n1) | infix_eqeq(int,t2tb(pred1(succ1(sK0))),empty(int))), 15.15/2.50 inference(resolution,[],[f21448,f1520])). 15.15/2.50 tff(f23892,plain,( 15.15/2.50 spl30_572 | spl30_505), 15.15/2.50 inference(avatar_split_clause,[],[f23887,f21453,f23889])). 15.15/2.50 tff(f23887,plain,( 15.15/2.50 $less(tb2t1(sK21(int,t2tb(pred1(succ1(sK0))))),n1) | spl30_505), 15.15/2.50 inference(subsumption_resolution,[],[f23833,f21454])). 15.15/2.50 tff(f23833,plain,( 15.15/2.50 $less(tb2t1(sK21(int,t2tb(pred1(succ1(sK0))))),n1) | is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.50 inference(resolution,[],[f21448,f334])). 15.15/2.50 tff(f23886,plain,( 15.15/2.50 spl30_571 | spl30_505), 15.15/2.50 inference(avatar_split_clause,[],[f23881,f21453,f23883])). 15.15/2.50 tff(f23881,plain,( 15.15/2.50 $less(tb2t1(choose(int,t2tb(pred1(succ1(sK0))))),n1) | spl30_505), 15.15/2.50 inference(subsumption_resolution,[],[f23830,f21454])). 15.15/2.50 tff(f23830,plain,( 15.15/2.50 $less(tb2t1(choose(int,t2tb(pred1(succ1(sK0))))),n1) | is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.50 inference(resolution,[],[f21448,f335])). 15.15/2.50 tff(f23751,plain,( 15.15/2.50 spl30_570 | spl30_145), 15.15/2.50 inference(avatar_split_clause,[],[f23722,f4280,f23749])). 15.15/2.50 tff(f23722,plain,( 15.15/2.50 ( ! [X273 : uni,X277 : uni,X276 : uni,X275 : uni,X274 : uni] : (~is_empty(int,X273) | ~mem(int,X274,X275) | ~subset(int,X275,inter(int,X276,X277)) | ~is_empty(int,X277)) )), 15.15/2.50 inference(resolution,[],[f2004,f4276])). 15.15/2.50 tff(f23747,plain,( 15.15/2.50 spl30_569 | spl30_145), 15.15/2.50 inference(avatar_split_clause,[],[f23721,f4280,f23745])). 15.15/2.50 tff(f23721,plain,( 15.15/2.50 ( ! [X271 : uni,X272 : uni,X270 : uni,X269 : uni,X268 : uni] : (~is_empty(int,X268) | ~mem(int,X269,X270) | ~subset(int,X270,inter(int,X271,X272)) | ~is_empty(int,X271)) )), 15.15/2.50 inference(resolution,[],[f2004,f4446])). 15.15/2.50 tff(f23743,plain,( 15.15/2.50 spl30_568 | spl30_145 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160), 15.15/2.50 inference(avatar_split_clause,[],[f23720,f5164,f4452,f4283,f784,f4280,f23741])). 15.15/2.50 tff(f23720,plain,( 15.15/2.50 ( ! [X264 : uni,X267 : set_int,X266 : uni,X265 : uni] : (~is_empty(int,X264) | ~mem(int,X265,X266) | ~subset(int,X266,t2tb(succ1(X267))) | ~is_empty(int,t2tb(X267))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160)), 15.15/2.50 inference(resolution,[],[f2004,f14794])). 15.15/2.50 tff(f23739,plain,( 15.15/2.50 spl30_567 | spl30_145 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160), 15.15/2.50 inference(avatar_split_clause,[],[f23719,f5164,f4452,f4283,f784,f4280,f23737])). 15.15/2.50 tff(f23719,plain,( 15.15/2.50 ( ! [X263 : uni,X262 : uni,X261 : uni,X260 : uni] : (~is_empty(int,X260) | ~mem(int,X261,X262) | ~subset(int,X262,t2tb(succ1(tb2t(X263)))) | ~is_empty(int,X263)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_160)), 15.15/2.50 inference(resolution,[],[f2004,f5584])). 15.15/2.50 tff(f23735,plain,( 15.15/2.50 spl30_566 | spl30_145 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159), 15.15/2.50 inference(avatar_split_clause,[],[f23718,f5159,f4452,f4283,f784,f4280,f23733])). 15.15/2.50 tff(f23718,plain,( 15.15/2.50 ( ! [X259 : set_int,X258 : uni,X257 : uni,X256 : uni] : (~is_empty(int,X256) | ~mem(int,X257,X258) | ~subset(int,X258,t2tb(pred1(X259))) | ~is_empty(int,t2tb(X259))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159)), 15.15/2.50 inference(resolution,[],[f2004,f14750])). 15.15/2.50 tff(f23731,plain,( 15.15/2.50 spl30_565 | spl30_145 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159), 15.15/2.50 inference(avatar_split_clause,[],[f23717,f5159,f4452,f4283,f784,f4280,f23729])). 15.15/2.50 tff(f23717,plain,( 15.15/2.50 ( ! [X253 : uni,X254 : uni,X255 : uni,X252 : uni] : (~is_empty(int,X252) | ~mem(int,X253,X254) | ~subset(int,X254,t2tb(pred1(tb2t(X255)))) | ~is_empty(int,X255)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_159)), 15.15/2.50 inference(resolution,[],[f2004,f5469])). 15.15/2.50 tff(f23727,plain,( 15.15/2.50 spl30_564 | spl30_145 | ~spl30_39 | ~spl30_146 | ~spl30_147), 15.15/2.50 inference(avatar_split_clause,[],[f23716,f4452,f4283,f784,f4280,f23725])). 15.15/2.50 tff(f23716,plain,( 15.15/2.50 ( ! [X250 : uni,X251 : $int,X248 : uni,X249 : uni] : (~is_empty(int,X248) | ~mem(int,X249,X250) | ~subset(int,X250,t2tb(below1(X251))) | ~$less(X251,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.50 inference(resolution,[],[f2004,f9943])). 15.15/2.50 tff(f23471,plain,( 15.15/2.50 spl30_561 | spl30_13), 15.15/2.50 inference(avatar_split_clause,[],[f23458,f549,f23461])). 15.15/2.50 tff(f23461,plain,( 15.15/2.50 spl30_561 <=> ! [X4 : bool1,X5 : bool1,X3 : bool1] : (X3 = X4 | X3 = X5 | false1 = X5 | X4 = X5)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_561])])). 15.15/2.50 tff(f549,plain,( 15.15/2.50 spl30_13 <=> false1 = true1), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_13])])). 15.15/2.50 tff(f23458,plain,( 15.15/2.50 ( ! [X10 : bool1,X11 : bool1,X12 : bool1] : (X10 = X11 | X11 = X12 | false1 = X12 | X10 = X12) ) | spl30_13), 15.15/2.50 inference(trivial_inequality_removal,[],[f23438])). 15.15/2.50 tff(f23438,plain,( 15.15/2.50 ( ! [X10 : bool1,X11 : bool1,X12 : bool1] : (true1 != true1 | X10 = X11 | X11 = X12 | false1 = X12 | X10 = X12) ) | spl30_13), 15.15/2.50 inference(superposition,[],[f551,f792])). 15.15/2.50 tff(f792,plain,( 15.15/2.50 ( ! [X2 : bool1,X3 : bool1,X0 : bool1,X1 : bool1] : (true1 = X3 | X1 = X2 | X0 = X2 | X0 = X3 | X0 = X1) )), 15.15/2.50 inference(superposition,[],[f624,f624])). 15.15/2.50 tff(f624,plain,( 15.15/2.50 ( ! [X0 : bool1,X1 : bool1] : (true1 = X1 | X0 = X1 | true1 = X0) )), 15.15/2.50 inference(superposition,[],[f322,f322])). 15.15/2.50 tff(f322,plain,( 15.15/2.50 ( ! [X0 : bool1] : (false1 = X0 | true1 = X0) )), 15.15/2.50 inference(cnf_transformation,[],[f108])). 15.15/2.50 tff(f108,plain,( 15.15/2.50 ! [X0 : bool1] : (false1 = X0 | true1 = X0)), 15.15/2.50 inference(rectify,[],[f33])). 15.15/2.50 tff(f33,axiom,( 15.15/2.50 ! [X7 : bool1] : (false1 = X7 | true1 = X7)), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bool_inversion)). 15.15/2.50 tff(f551,plain,( 15.15/2.50 false1 != true1 | spl30_13), 15.15/2.50 inference(avatar_component_clause,[],[f549])). 15.15/2.50 tff(f23470,plain,( 15.15/2.50 spl30_561 | spl30_563), 15.15/2.50 inference(avatar_split_clause,[],[f23459,f23468,f23461])). 15.15/2.50 tff(f23468,plain,( 15.15/2.50 spl30_563 <=> ! [X6 : bool1] : true1 = X6), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_563])])). 15.15/2.50 tff(f23459,plain,( 15.15/2.50 ( ! [X8 : bool1,X6 : bool1,X9 : bool1,X7 : bool1] : (true1 = X6 | X7 = X8 | X8 = X9 | false1 = X9 | X7 = X9) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f23437])). 15.15/2.50 tff(f23437,plain,( 15.15/2.50 ( ! [X8 : bool1,X6 : bool1,X9 : bool1,X7 : bool1] : (true1 = X6 | true1 = X6 | X7 = X8 | X8 = X9 | false1 = X9 | X7 = X9) )), 15.15/2.50 inference(superposition,[],[f322,f792])). 15.15/2.50 tff(f23466,plain,( 15.15/2.50 spl30_561 | spl30_562), 15.15/2.50 inference(avatar_split_clause,[],[f23436,f23464,f23461])). 15.15/2.50 tff(f23464,plain,( 15.15/2.50 spl30_562 <=> ! [X2 : uni,X0 : ty,X1 : uni] : (match_bool1(X0,true1,X1,X2) = X2 | ~sort1(X0,X2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_562])])). 15.15/2.50 tff(f23436,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : bool1,X0 : ty,X1 : uni,X4 : bool1,X5 : bool1] : (match_bool1(X0,true1,X1,X2) = X2 | ~sort1(X0,X2) | X3 = X4 | X4 = X5 | false1 = X5 | X3 = X5) )), 15.15/2.50 inference(superposition,[],[f386,f792])). 15.15/2.50 tff(f386,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (match_bool1(X0,false1,X1,X2) = X2 | ~sort1(X0,X2)) )), 15.15/2.50 inference(cnf_transformation,[],[f180])). 15.15/2.50 tff(f180,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : (match_bool1(X0,false1,X1,X2) = X2 | ~sort1(X0,X2))), 15.15/2.50 inference(ennf_transformation,[],[f139])). 15.15/2.50 tff(f139,plain,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(X0,X2) => match_bool1(X0,false1,X1,X2) = X2)), 15.15/2.50 inference(rectify,[],[f15])). 15.15/2.50 tff(f15,axiom,( 15.15/2.50 ! [X0 : ty,X14 : uni,X15 : uni] : (sort1(X0,X15) => match_bool1(X0,false1,X14,X15) = X15)), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',match_bool_False)). 15.15/2.50 tff(f23350,plain,( 15.15/2.50 spl30_76 | spl30_320 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23349,f768,f609,f15686,f1729])). 15.15/2.50 tff(f1729,plain,( 15.15/2.50 spl30_76 <=> ! [X2 : $int] : (min_elt1(sK8) != X2 | ~$less(X2,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_76])])). 15.15/2.50 tff(f15686,plain,( 15.15/2.50 spl30_320 <=> ! [X102 : $int,X103 : map_int_int,X104 : $int] : (~$less(sK5,X102) | ~eq_prefix1(int,t2tb2(X103),t2tb2(sK13),X104) | ~$less(sK5,X104) | ~partial_solution1(X102,X103))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_320])])). 15.15/2.50 tff(f768,plain,( 15.15/2.50 spl30_38 <=> t2tb2(sK13) = set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_38])])). 15.15/2.50 tff(f23349,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : map_int_int,X292 : $int] : (~$less(sK5,X291) | min_elt1(sK8) != X290 | ~$less(X290,0) | ~partial_solution1(X291,X289) | ~$less(sK5,X292) | ~eq_prefix1(int,t2tb2(X289),t2tb2(sK13),X292)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23348,f611])). 15.15/2.50 tff(f23348,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : map_int_int,X292 : $int] : ($less(sK5,0) | ~$less(sK5,X291) | min_elt1(sK8) != X290 | ~$less(X290,0) | ~partial_solution1(X291,X289) | ~$less(sK5,X292) | ~eq_prefix1(int,t2tb2(X289),t2tb2(sK13),X292)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23347,f312])). 15.15/2.50 tff(f312,plain,( 15.15/2.50 ( ! [X0 : $int] : (tb2t1(t2tb1(X0)) = X0) )), 15.15/2.50 inference(cnf_transformation,[],[f100])). 15.15/2.50 tff(f100,plain,( 15.15/2.50 ! [X0 : $int] : tb2t1(t2tb1(X0)) = X0), 15.15/2.50 inference(rectify,[],[f69])). 15.15/2.50 tff(f69,axiom,( 15.15/2.50 ! [X5 : $int] : tb2t1(t2tb1(X5)) = X5), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL1)). 15.15/2.50 tff(f23347,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : map_int_int,X292 : $int] : (~$less(sK5,X291) | min_elt1(sK8) != X290 | ~$less(X290,0) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X291,X289) | ~$less(sK5,X292) | ~eq_prefix1(int,t2tb2(X289),t2tb2(sK13),X292)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23346,f312])). 15.15/2.50 tff(f23346,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : map_int_int,X292 : $int] : (min_elt1(sK8) != X290 | ~$less(X290,0) | ~$less(tb2t1(t2tb1(sK5)),X291) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X291,X289) | ~$less(sK5,X292) | ~eq_prefix1(int,t2tb2(X289),t2tb2(sK13),X292)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23119,f312])). 15.15/2.50 tff(f23119,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : map_int_int,X292 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X290 | ~$less(X290,0) | ~$less(tb2t1(t2tb1(sK5)),X291) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X291,X289) | ~$less(sK5,X292) | ~eq_prefix1(int,t2tb2(X289),t2tb2(sK13),X292)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1710,f7197])). 15.15/2.50 tff(f7197,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : $int] : (t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~$less(sK5,X1) | ~eq_prefix1(int,X0,t2tb2(sK13),X1)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f7196,f305])). 15.15/2.50 tff(f7196,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : $int] : (~eq_prefix1(int,X0,t2tb2(sK13),X1) | ~$less(sK5,X1) | t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~sort1(int,t2tb1(min_elt1(sK8)))) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f7194,f611])). 15.15/2.50 tff(f7194,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : $int] : (~eq_prefix1(int,X0,t2tb2(sK13),X1) | ~$less(sK5,X1) | $less(sK5,0) | t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~sort1(int,t2tb1(min_elt1(sK8)))) ) | ~spl30_38), 15.15/2.50 inference(superposition,[],[f1777,f770])). 15.15/2.50 tff(f770,plain,( 15.15/2.50 t2tb2(sK13) = set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))) | ~spl30_38), 15.15/2.50 inference(avatar_component_clause,[],[f768])). 15.15/2.50 tff(f1777,plain,( 15.15/2.50 ( ! [X28 : $int,X26 : uni,X27 : uni,X24 : uni,X25 : $int,X23 : ty] : (~eq_prefix1(X23,X27,set1(X23,int,X24,t2tb1(X25),X26),X28) | ~$less(X25,X28) | $less(X25,0) | get(X23,int,X27,t2tb1(X25)) = X26 | ~sort1(X23,X26)) )), 15.15/2.50 inference(superposition,[],[f409,f428])). 15.15/2.50 tff(f428,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X4,X5),X4) = X5 | ~sort1(X1,X5)) )), 15.15/2.50 inference(equality_resolution,[],[f424])). 15.15/2.50 tff(f424,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5)) )), 15.15/2.50 inference(cnf_transformation,[],[f205])). 15.15/2.50 tff(f205,plain,( 15.15/2.50 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5))), 15.15/2.50 inference(flattening,[],[f204])). 15.15/2.50 tff(f204,plain,( 15.15/2.50 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort1(X1,X5))), 15.15/2.50 inference(ennf_transformation,[],[f157])). 15.15/2.50 tff(f157,plain,( 15.15/2.50 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort1(X1,X5) => (X3 = X4 => get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5))), 15.15/2.50 inference(rectify,[],[f10])). 15.15/2.50 tff(f10,axiom,( 15.15/2.50 ! [X0 : ty,X8 : ty,X9 : uni,X10 : uni,X11 : uni,X12 : uni] : (sort1(X8,X12) => (X10 = X11 => get(X8,X0,set1(X8,X0,X9,X10,X12),X11) = X12))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_eq)). 15.15/2.50 tff(f1710,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : map_int_int] : (tb2t1(get(int,int,t2tb2(X1),X0)) != X2 | ~$less(X2,0) | ~$less(tb2t1(X0),X3) | $less(tb2t1(X0),0) | ~partial_solution1(X3,X1)) )), 15.15/2.50 inference(superposition,[],[f464,f315])). 15.15/2.50 tff(f464,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X5 | ~$less(X5,0) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(theory_flattening,[],[f343])). 15.15/2.50 tff(f343,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X4 : $int] : (~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f226])). 15.15/2.50 tff(f226,plain,( 15.15/2.50 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),0) | (($sum(sK23(X0,X1),$uminus(sK22(X0,X1))) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) = $sum(sK22(X0,X1),$uminus(sK23(X0,X1))) | tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1))))) & ~$less(sK23(X0,X1),0) & $less(sK23(X0,X1),sK22(X0,X1))) | ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),n1)) & $less(sK22(X0,X1),X0) & ~$less(sK22(X0,X1),0))) & (! [X4 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0) & ! [X5 : $int] : (($sum(X5,$uminus(X4)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X4,$uminus(X5)) & tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5)))) | $less(X5,0) | ~$less(X5,X4)) & $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),n1)) | ~$less(X4,X0) | $less(X4,0)) | ~partial_solution1(X0,X1)))), 15.15/2.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f223,f225,f224])). 15.15/2.50 tff(f224,plain,( 15.15/2.50 ! [X0 : $int,X1 : map_int_int] : (? [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) | ? [X3 : $int] : (($sum(X3,$uminus(X2)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X2,$uminus(X3)) | tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) & ~$less(X3,0) & $less(X3,X2)) | ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)) & $less(X2,X0) & ~$less(X2,0)) => (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),0) | ? [X3 : $int] : (($sum(X3,$uminus(sK22(X0,X1))) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(sK22(X0,X1),$uminus(X3)) | tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1))))) & ~$less(X3,0) & $less(X3,sK22(X0,X1))) | ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),n1)) & $less(sK22(X0,X1),X0) & ~$less(sK22(X0,X1),0)))), 15.15/2.50 introduced(choice_axiom,[])). 15.15/2.50 tff(f225,plain,( 15.15/2.50 ! [X0 : $int,X1 : map_int_int] : (? [X3 : $int] : (($sum(X3,$uminus(sK22(X0,X1))) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(sK22(X0,X1),$uminus(X3)) | tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1))))) & ~$less(X3,0) & $less(X3,sK22(X0,X1))) => (($sum(sK23(X0,X1),$uminus(sK22(X0,X1))) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) = $sum(sK22(X0,X1),$uminus(sK23(X0,X1))) | tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1))))) & ~$less(sK23(X0,X1),0) & $less(sK23(X0,X1),sK22(X0,X1))))), 15.15/2.50 introduced(choice_axiom,[])). 15.15/2.50 tff(f223,plain,( 15.15/2.50 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | ? [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) | ? [X3 : $int] : (($sum(X3,$uminus(X2)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X2,$uminus(X3)) | tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) & ~$less(X3,0) & $less(X3,X2)) | ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)) & $less(X2,X0) & ~$less(X2,0))) & (! [X4 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0) & ! [X5 : $int] : (($sum(X5,$uminus(X4)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X4,$uminus(X5)) & tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5)))) | $less(X5,0) | ~$less(X5,X4)) & $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),n1)) | ~$less(X4,X0) | $less(X4,0)) | ~partial_solution1(X0,X1)))), 15.15/2.50 inference(rectify,[],[f222])). 15.15/2.50 tff(f222,plain,( 15.15/2.50 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | ? [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) | ? [X3 : $int] : (($sum(X3,$uminus(X2)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X2,$uminus(X3)) | tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) & ~$less(X3,0) & $less(X3,X2)) | ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)) & $less(X2,X0) & ~$less(X2,0))) & (! [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) & ! [X3 : $int] : (($sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)) & tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | $less(X3,0) | ~$less(X3,X2)) & $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)) | ~$less(X2,X0) | $less(X2,0)) | ~partial_solution1(X0,X1)))), 15.15/2.50 inference(nnf_transformation,[],[f172])). 15.15/2.50 tff(f172,plain,( 15.15/2.50 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) & ! [X3 : $int] : (($sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)) & tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | $less(X3,0) | ~$less(X3,X2)) & $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)) | ~$less(X2,X0) | $less(X2,0)))), 15.15/2.50 inference(flattening,[],[f171])). 15.15/2.50 tff(f171,plain,( 15.15/2.50 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) & ! [X3 : $int] : (($sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)) & tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | ($less(X3,0) | ~$less(X3,X2))) & $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1)) | (~$less(X2,X0) | $less(X2,0))))), 15.15/2.50 inference(ennf_transformation,[],[f120])). 15.15/2.50 tff(f120,plain,( 15.15/2.50 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : (($less(X2,X0) & ~$less(X2,0)) => (~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0) & ! [X3 : $int] : ((~$less(X3,0) & $less(X3,X2)) => ($sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)) & tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1))))), 15.15/2.50 inference(rectify,[],[f83])). 15.15/2.50 tff(f83,plain,( 15.15/2.50 ! [X18 : $int,X2 : map_int_int] : (partial_solution1(X18,X2) <=> ! [X5 : $int] : (($less(X5,X18) & ~$less(X5,0)) => (~$less(tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))),0) & ! [X13 : $int] : ((~$less(X13,0) & $less(X13,X5)) => ($sum(tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))),$uminus(tb2t1(get(int,int,t2tb2(X2),t2tb1(X13))))) != $sum(X13,$uminus(X5)) & $sum(tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))),$uminus(tb2t1(get(int,int,t2tb2(X2),t2tb1(X13))))) != $sum(X5,$uminus(X13)) & tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))) != tb2t1(get(int,int,t2tb2(X2),t2tb1(X13))))) & $less(tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))),n1))))), 15.15/2.50 inference(theory_normalization,[],[f29])). 15.15/2.50 tff(f29,axiom,( 15.15/2.50 ! [X18 : $int,X2 : map_int_int] : (partial_solution1(X18,X2) <=> ! [X5 : $int] : (($less(X5,X18) & $lesseq(0,X5)) => ($lesseq(0,tb2t1(get(int,int,t2tb2(X2),t2tb1(X5)))) & ! [X13 : $int] : (($lesseq(0,X13) & $less(X13,X5)) => ($difference(tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))),tb2t1(get(int,int,t2tb2(X2),t2tb1(X13)))) != $difference(X13,X5) & $difference(tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))),tb2t1(get(int,int,t2tb2(X2),t2tb1(X13)))) != $difference(X5,X13) & tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))) != tb2t1(get(int,int,t2tb2(X2),t2tb1(X13))))) & $less(tb2t1(get(int,int,t2tb2(X2),t2tb1(X5))),n1))))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_solution_def)). 15.15/2.50 tff(f23345,plain,( 15.15/2.50 spl30_321 | spl30_320 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23344,f768,f609,f15686,f15695])). 15.15/2.50 tff(f15695,plain,( 15.15/2.50 spl30_321 <=> ! [X109 : $int,X108 : $int] : (min_elt1(sK8) != X108 | $less(X108,X109) | n1 != X109)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_321])])). 15.15/2.50 tff(f23344,plain,( 15.15/2.50 ( ! [X287 : $int,X288 : $int,X286 : $int,X285 : $int,X284 : map_int_int] : (~$less(sK5,X287) | min_elt1(sK8) != X285 | n1 != X286 | $less(X285,X286) | ~partial_solution1(X287,X284) | ~$less(sK5,X288) | ~eq_prefix1(int,t2tb2(X284),t2tb2(sK13),X288)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23343,f611])). 15.15/2.50 tff(f23343,plain,( 15.15/2.50 ( ! [X287 : $int,X288 : $int,X286 : $int,X285 : $int,X284 : map_int_int] : ($less(sK5,0) | ~$less(sK5,X287) | min_elt1(sK8) != X285 | n1 != X286 | $less(X285,X286) | ~partial_solution1(X287,X284) | ~$less(sK5,X288) | ~eq_prefix1(int,t2tb2(X284),t2tb2(sK13),X288)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23342,f312])). 15.15/2.50 tff(f23342,plain,( 15.15/2.50 ( ! [X287 : $int,X288 : $int,X286 : $int,X285 : $int,X284 : map_int_int] : (~$less(sK5,X287) | min_elt1(sK8) != X285 | n1 != X286 | $less(X285,X286) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X287,X284) | ~$less(sK5,X288) | ~eq_prefix1(int,t2tb2(X284),t2tb2(sK13),X288)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23341,f312])). 15.15/2.50 tff(f23341,plain,( 15.15/2.50 ( ! [X287 : $int,X288 : $int,X286 : $int,X285 : $int,X284 : map_int_int] : (min_elt1(sK8) != X285 | n1 != X286 | $less(X285,X286) | ~$less(tb2t1(t2tb1(sK5)),X287) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X287,X284) | ~$less(sK5,X288) | ~eq_prefix1(int,t2tb2(X284),t2tb2(sK13),X288)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23118,f312])). 15.15/2.50 tff(f23118,plain,( 15.15/2.50 ( ! [X287 : $int,X288 : $int,X286 : $int,X285 : $int,X284 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X285 | n1 != X286 | $less(X285,X286) | ~$less(tb2t1(t2tb1(sK5)),X287) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X287,X284) | ~$less(sK5,X288) | ~eq_prefix1(int,t2tb2(X284),t2tb2(sK13),X288)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1836,f7197])). 15.15/2.50 tff(f1836,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : map_int_int,X4 : $int] : (tb2t1(get(int,int,t2tb2(X1),X0)) != X2 | n1 != X3 | $less(X2,X3) | ~$less(tb2t1(X0),X4) | $less(tb2t1(X0),0) | ~partial_solution1(X4,X1)) )), 15.15/2.50 inference(superposition,[],[f467,f315])). 15.15/2.50 tff(f467,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X6 : $int,X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X5 | n1 != X6 | $less(X5,X6) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(theory_flattening,[],[f339])). 15.15/2.50 tff(f339,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X4 : $int] : ($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),n1) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f226])). 15.15/2.50 tff(f23333,plain,( 15.15/2.50 spl30_102 | spl30_560 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23329,f768,f609,f23331,f2202])). 15.15/2.50 tff(f2202,plain,( 15.15/2.50 spl30_102 <=> ! [X5 : $int] : (n1 != X5 | ~$less(sK5,X5))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_102])])). 15.15/2.50 tff(f23331,plain,( 15.15/2.50 spl30_560 <=> ! [X270 : map_int_int,X275 : $int,X274 : $int,X271 : $int,X273 : map_int_int] : (~eq_prefix1(int,t2tb2(X270),t2tb2(X273),sK5) | ~eq_prefix1(int,t2tb2(X270),t2tb2(sK13),X275) | ~$less(sK5,X275) | lt_sol1(X270,X273) | tb2t1(get(int,int,t2tb2(X273),t2tb1(sK5))) != X274 | min_elt1(sK8) != X271 | ~$less(X271,X274))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_560])])). 15.15/2.50 tff(f23329,plain,( 15.15/2.50 ( ! [X273 : map_int_int,X272 : $int,X271 : $int,X270 : map_int_int,X275 : $int,X274 : $int] : (~eq_prefix1(int,t2tb2(X270),t2tb2(X273),sK5) | ~$less(sK5,X272) | min_elt1(sK8) != X271 | n1 != X272 | tb2t1(get(int,int,t2tb2(X273),t2tb1(sK5))) != X274 | lt_sol1(X270,X273) | ~$less(X271,X274) | ~$less(sK5,X275) | ~eq_prefix1(int,t2tb2(X270),t2tb2(sK13),X275)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23328,f312])). 15.15/2.50 tff(f23328,plain,( 15.15/2.50 ( ! [X273 : map_int_int,X272 : $int,X271 : $int,X270 : map_int_int,X275 : $int,X274 : $int] : (~$less(sK5,X272) | min_elt1(sK8) != X271 | n1 != X272 | tb2t1(get(int,int,t2tb2(X273),t2tb1(sK5))) != X274 | lt_sol1(X270,X273) | ~$less(X271,X274) | ~eq_prefix1(int,t2tb2(X270),t2tb2(X273),tb2t1(t2tb1(sK5))) | ~$less(sK5,X275) | ~eq_prefix1(int,t2tb2(X270),t2tb2(sK13),X275)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23327,f312])). 15.15/2.50 tff(f23327,plain,( 15.15/2.50 ( ! [X273 : map_int_int,X271 : $int,X272 : $int,X270 : map_int_int,X275 : $int,X274 : $int] : (min_elt1(sK8) != X271 | n1 != X272 | ~$less(tb2t1(t2tb1(sK5)),X272) | tb2t1(get(int,int,t2tb2(X273),t2tb1(sK5))) != X274 | lt_sol1(X270,X273) | ~$less(X271,X274) | ~eq_prefix1(int,t2tb2(X270),t2tb2(X273),tb2t1(t2tb1(sK5))) | ~$less(sK5,X275) | ~eq_prefix1(int,t2tb2(X270),t2tb2(sK13),X275)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23326,f611])). 15.15/2.50 tff(f23326,plain,( 15.15/2.50 ( ! [X273 : map_int_int,X271 : $int,X272 : $int,X270 : map_int_int,X275 : $int,X274 : $int] : ($less(sK5,0) | min_elt1(sK8) != X271 | n1 != X272 | ~$less(tb2t1(t2tb1(sK5)),X272) | tb2t1(get(int,int,t2tb2(X273),t2tb1(sK5))) != X274 | lt_sol1(X270,X273) | ~$less(X271,X274) | ~eq_prefix1(int,t2tb2(X270),t2tb2(X273),tb2t1(t2tb1(sK5))) | ~$less(sK5,X275) | ~eq_prefix1(int,t2tb2(X270),t2tb2(sK13),X275)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23325,f312])). 15.15/2.50 tff(f23325,plain,( 15.15/2.50 ( ! [X273 : map_int_int,X271 : $int,X272 : $int,X270 : map_int_int,X275 : $int,X274 : $int] : (min_elt1(sK8) != X271 | $less(tb2t1(t2tb1(sK5)),0) | n1 != X272 | ~$less(tb2t1(t2tb1(sK5)),X272) | tb2t1(get(int,int,t2tb2(X273),t2tb1(sK5))) != X274 | lt_sol1(X270,X273) | ~$less(X271,X274) | ~eq_prefix1(int,t2tb2(X270),t2tb2(X273),tb2t1(t2tb1(sK5))) | ~$less(sK5,X275) | ~eq_prefix1(int,t2tb2(X270),t2tb2(sK13),X275)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23115,f312])). 15.15/2.50 tff(f23115,plain,( 15.15/2.50 ( ! [X273 : map_int_int,X271 : $int,X272 : $int,X270 : map_int_int,X275 : $int,X274 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X271 | $less(tb2t1(t2tb1(sK5)),0) | n1 != X272 | ~$less(tb2t1(t2tb1(sK5)),X272) | tb2t1(get(int,int,t2tb2(X273),t2tb1(sK5))) != X274 | lt_sol1(X270,X273) | ~$less(X271,X274) | ~eq_prefix1(int,t2tb2(X270),t2tb2(X273),tb2t1(t2tb1(sK5))) | ~$less(sK5,X275) | ~eq_prefix1(int,t2tb2(X270),t2tb2(sK13),X275)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2182,f7197])). 15.15/2.50 tff(f2182,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : map_int_int,X4 : map_int_int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X4),X0)) != X5 | $less(tb2t1(X0),0) | n1 != X3 | ~$less(tb2t1(X0),X3) | tb2t1(get(int,int,t2tb2(X1),X0)) != X2 | lt_sol1(X4,X1) | ~$less(X5,X2) | ~eq_prefix1(int,t2tb2(X4),t2tb2(X1),tb2t1(X0))) )), 15.15/2.50 inference(superposition,[],[f475,f315])). 15.15/2.50 tff(f475,plain,( 15.15/2.50 ( ! [X3 : $int,X0 : map_int_int,X1 : map_int_int,X6 : $int,X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) != X6 | $less(X3,0) | n1 != X4 | ~$less(X3,X4) | tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))) != X5 | lt_sol1(X0,X1) | ~$less(X5,X6) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3)) )), 15.15/2.50 inference(theory_flattening,[],[f361])). 15.15/2.50 tff(f361,plain,( 15.15/2.50 ( ! [X3 : $int,X0 : map_int_int,X1 : map_int_int] : (lt_sol1(X0,X1) | $less(X3,0) | ~$less(X3,n1) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3)) )), 15.15/2.50 inference(cnf_transformation,[],[f237])). 15.15/2.50 tff(f237,plain,( 15.15/2.50 ! [X0 : map_int_int,X1 : map_int_int] : (((~$less(sK24(X0,X1),0) & $less(sK24(X0,X1),n1) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK24(X0,X1)))),tb2t1(get(int,int,t2tb2(X1),t2tb1(sK24(X0,X1))))) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1))) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X3 : $int] : ($less(X3,0) | ~$less(X3,n1) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3))))), 15.15/2.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f235,f236])). 15.15/2.50 tff(f236,plain,( 15.15/2.50 ! [X0 : map_int_int,X1 : map_int_int] : (? [X2 : $int] : (~$less(X2,0) & $less(X2,n1) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)) => (~$less(sK24(X0,X1),0) & $less(sK24(X0,X1),n1) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK24(X0,X1)))),tb2t1(get(int,int,t2tb2(X1),t2tb1(sK24(X0,X1))))) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1))))), 15.15/2.50 introduced(choice_axiom,[])). 15.15/2.50 tff(f235,plain,( 15.15/2.50 ! [X0 : map_int_int,X1 : map_int_int] : ((? [X2 : $int] : (~$less(X2,0) & $less(X2,n1) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X3 : $int] : ($less(X3,0) | ~$less(X3,n1) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3))))), 15.15/2.50 inference(rectify,[],[f234])). 15.15/2.50 tff(f234,plain,( 15.15/2.50 ! [X0 : map_int_int,X1 : map_int_int] : ((? [X2 : $int] : (~$less(X2,0) & $less(X2,n1) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X2 : $int] : ($less(X2,0) | ~$less(X2,n1) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2))))), 15.15/2.50 inference(nnf_transformation,[],[f127])). 15.15/2.50 tff(f127,plain,( 15.15/2.50 ! [X0 : map_int_int,X1 : map_int_int] : (? [X2 : $int] : (~$less(X2,0) & $less(X2,n1) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2)) <=> lt_sol1(X0,X1))), 15.15/2.50 inference(rectify,[],[f87])). 15.15/2.50 tff(f87,plain,( 15.15/2.50 ! [X3 : map_int_int,X4 : map_int_int] : (? [X5 : $int] : (~$less(X5,0) & $less(X5,n1) & $less(tb2t1(get(int,int,t2tb2(X3),t2tb1(X5))),tb2t1(get(int,int,t2tb2(X4),t2tb1(X5)))) & eq_prefix1(int,t2tb2(X3),t2tb2(X4),X5)) <=> lt_sol1(X3,X4))), 15.15/2.50 inference(theory_normalization,[],[f67])). 15.15/2.50 tff(f67,axiom,( 15.15/2.50 ! [X3 : map_int_int,X4 : map_int_int] : (? [X5 : $int] : ($lesseq(0,X5) & $less(X5,n1) & $less(tb2t1(get(int,int,t2tb2(X3),t2tb1(X5))),tb2t1(get(int,int,t2tb2(X4),t2tb1(X5)))) & eq_prefix1(int,t2tb2(X3),t2tb2(X4),X5)) <=> lt_sol1(X3,X4))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lt_sol_def)). 15.15/2.50 tff(f23315,plain,( 15.15/2.50 spl30_559 | spl30_90 | spl30_324 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23314,f768,f609,f15716,f1976,f23307])). 15.15/2.50 tff(f23307,plain,( 15.15/2.50 spl30_559 <=> ! [X217 : uni,X222 : $int,X223 : $int] : (~$less(sK5,X222) | ~eq_prefix1(int,X217,t2tb2(sK13),X223) | ~$less(sK5,X223) | ~eq_prefix1(int,X217,t2tb2(sK6),X222))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_559])])). 15.15/2.50 tff(f1976,plain,( 15.15/2.50 spl30_90 <=> ! [X7 : $int] : (sK5 != X7 | ~$less(sK5,X7))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_90])])). 15.15/2.50 tff(f15716,plain,( 15.15/2.50 spl30_324 <=> ! [X130 : $int,X128 : $int,X129 : $int] : (min_elt1(sK8) != X128 | $less(X130,0) | mem(int,t2tb1(X130),t2tb(sK2)) | $sum($sum(X130,X129),$uminus(sK5)) != X128 | sK5 != X129)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_324])])). 15.15/2.50 tff(f23314,plain,( 15.15/2.50 ( ! [X235 : $int,X232 : $int,X233 : $int,X231 : uni,X236 : $int,X237 : $int,X234 : $int] : (min_elt1(sK8) != X232 | sK5 != X233 | $sum($sum(X234,X233),$uminus(sK5)) != X232 | sK5 != X235 | ~$less(sK5,X235) | mem(int,t2tb1(X234),t2tb(sK2)) | $less(X234,0) | ~$less(sK5,X236) | ~eq_prefix1(int,X231,t2tb2(sK6),X236) | ~$less(sK5,X237) | ~eq_prefix1(int,X231,t2tb2(sK13),X237)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23313,f312])). 15.15/2.50 tff(f23313,plain,( 15.15/2.50 ( ! [X235 : $int,X232 : $int,X233 : $int,X231 : uni,X236 : $int,X237 : $int,X234 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X232 | sK5 != X233 | $sum($sum(X234,X233),$uminus(sK5)) != X232 | sK5 != X235 | ~$less(sK5,X235) | mem(int,t2tb1(X234),t2tb(sK2)) | $less(X234,0) | ~$less(sK5,X236) | ~eq_prefix1(int,X231,t2tb2(sK6),X236) | ~$less(sK5,X237) | ~eq_prefix1(int,X231,t2tb2(sK13),X237)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23108,f611])). 15.15/2.50 tff(f23108,plain,( 15.15/2.50 ( ! [X235 : $int,X232 : $int,X233 : $int,X231 : uni,X236 : $int,X237 : $int,X234 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X232 | sK5 != X233 | $sum($sum(X234,X233),$uminus(sK5)) != X232 | sK5 != X235 | ~$less(sK5,X235) | $less(sK5,0) | mem(int,t2tb1(X234),t2tb(sK2)) | $less(X234,0) | ~$less(sK5,X236) | ~eq_prefix1(int,X231,t2tb2(sK6),X236) | ~$less(sK5,X237) | ~eq_prefix1(int,X231,t2tb2(sK13),X237)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1991,f7197])). 15.15/2.50 tff(f1991,plain,( 15.15/2.50 ( ! [X10 : $int,X11 : $int,X8 : $int,X9 : uni,X14 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,X9,t2tb1(X8))) != X10 | sK5 != X11 | $sum($sum(X12,X11),$uminus(X8)) != X10 | sK5 != X13 | ~$less(X8,X13) | $less(X8,0) | mem(int,t2tb1(X12),t2tb(sK2)) | $less(X12,0) | ~$less(X8,X14) | ~eq_prefix1(int,X9,t2tb2(sK6),X14)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f1987])). 15.15/2.50 tff(f1987,plain,( 15.15/2.50 ( ! [X10 : $int,X11 : $int,X8 : $int,X9 : uni,X14 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,X9,t2tb1(X8))) != X10 | sK5 != X11 | $sum($sum(X12,X11),$uminus(X8)) != X10 | sK5 != X13 | ~$less(X8,X13) | $less(X8,0) | mem(int,t2tb1(X12),t2tb(sK2)) | $less(X12,0) | ~$less(X8,X14) | $less(X8,0) | ~eq_prefix1(int,X9,t2tb2(sK6),X14)) )), 15.15/2.50 inference(superposition,[],[f450,f409])). 15.15/2.50 tff(f23312,plain,( 15.15/2.50 spl30_558 | spl30_90 | spl30_324 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23311,f768,f609,f15716,f1976,f23301])). 15.15/2.50 tff(f23301,plain,( 15.15/2.50 spl30_558 <=> ! [X210 : uni,X216 : $int,X215 : $int] : (~$less(sK5,X215) | ~eq_prefix1(int,X210,t2tb2(sK13),X216) | ~$less(sK5,X216) | ~eq_prefix1(int,t2tb2(sK6),X210,X215))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_558])])). 15.15/2.50 tff(f23311,plain,( 15.15/2.50 ( ! [X224 : uni,X225 : $int,X230 : $int,X228 : $int,X229 : $int,X226 : $int,X227 : $int] : (min_elt1(sK8) != X225 | sK5 != X226 | $sum($sum(X227,X226),$uminus(sK5)) != X225 | sK5 != X228 | ~$less(sK5,X228) | mem(int,t2tb1(X227),t2tb(sK2)) | $less(X227,0) | ~$less(sK5,X229) | ~eq_prefix1(int,t2tb2(sK6),X224,X229) | ~$less(sK5,X230) | ~eq_prefix1(int,X224,t2tb2(sK13),X230)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23310,f312])). 15.15/2.50 tff(f23310,plain,( 15.15/2.50 ( ! [X224 : uni,X225 : $int,X230 : $int,X228 : $int,X229 : $int,X226 : $int,X227 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X225 | sK5 != X226 | $sum($sum(X227,X226),$uminus(sK5)) != X225 | sK5 != X228 | ~$less(sK5,X228) | mem(int,t2tb1(X227),t2tb(sK2)) | $less(X227,0) | ~$less(sK5,X229) | ~eq_prefix1(int,t2tb2(sK6),X224,X229) | ~$less(sK5,X230) | ~eq_prefix1(int,X224,t2tb2(sK13),X230)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23107,f611])). 15.15/2.50 tff(f23107,plain,( 15.15/2.50 ( ! [X224 : uni,X225 : $int,X230 : $int,X228 : $int,X229 : $int,X226 : $int,X227 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X225 | sK5 != X226 | $sum($sum(X227,X226),$uminus(sK5)) != X225 | sK5 != X228 | ~$less(sK5,X228) | $less(sK5,0) | mem(int,t2tb1(X227),t2tb(sK2)) | $less(X227,0) | ~$less(sK5,X229) | ~eq_prefix1(int,t2tb2(sK6),X224,X229) | ~$less(sK5,X230) | ~eq_prefix1(int,X224,t2tb2(sK13),X230)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1990,f7197])). 15.15/2.50 tff(f1990,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : $int,X19 : $int,X16 : uni,X17 : $int,X15 : $int,X20 : $int] : (tb2t1(get(int,int,X16,t2tb1(X15))) != X17 | sK5 != X18 | $sum($sum(X19,X18),$uminus(X15)) != X17 | sK5 != X20 | ~$less(X15,X20) | $less(X15,0) | mem(int,t2tb1(X19),t2tb(sK2)) | $less(X19,0) | ~$less(X15,X21) | ~eq_prefix1(int,t2tb2(sK6),X16,X21)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f1988])). 15.15/2.50 tff(f1988,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : $int,X19 : $int,X16 : uni,X17 : $int,X15 : $int,X20 : $int] : (tb2t1(get(int,int,X16,t2tb1(X15))) != X17 | sK5 != X18 | $sum($sum(X19,X18),$uminus(X15)) != X17 | sK5 != X20 | ~$less(X15,X20) | $less(X15,0) | mem(int,t2tb1(X19),t2tb(sK2)) | $less(X19,0) | ~$less(X15,X21) | $less(X15,0) | ~eq_prefix1(int,t2tb2(sK6),X16,X21)) )), 15.15/2.50 inference(superposition,[],[f450,f409])). 15.15/2.50 tff(f23309,plain,( 15.15/2.50 spl30_559 | spl30_90 | spl30_91 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23305,f768,f609,f1979,f1976,f23307])). 15.15/2.50 tff(f1979,plain,( 15.15/2.50 spl30_91 <=> ! [X6 : $int,X4 : $int,X5 : $int] : (min_elt1(sK8) != X4 | $less(X6,0) | mem(int,t2tb1(X6),t2tb(sK1)) | $sum($sum(X6,sK5),$uminus(X5)) != X4 | sK5 != X5)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_91])])). 15.15/2.50 tff(f23305,plain,( 15.15/2.50 ( ! [X222 : $int,X223 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X217 : uni] : (min_elt1(sK8) != X218 | sK5 != X219 | $sum($sum(X220,sK5),$uminus(X219)) != X218 | sK5 != X221 | ~$less(sK5,X221) | mem(int,t2tb1(X220),t2tb(sK1)) | $less(X220,0) | ~$less(sK5,X222) | ~eq_prefix1(int,X217,t2tb2(sK6),X222) | ~$less(sK5,X223) | ~eq_prefix1(int,X217,t2tb2(sK13),X223)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23304,f312])). 15.15/2.50 tff(f23304,plain,( 15.15/2.50 ( ! [X222 : $int,X223 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X217 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X218 | sK5 != X219 | $sum($sum(X220,sK5),$uminus(X219)) != X218 | sK5 != X221 | ~$less(sK5,X221) | mem(int,t2tb1(X220),t2tb(sK1)) | $less(X220,0) | ~$less(sK5,X222) | ~eq_prefix1(int,X217,t2tb2(sK6),X222) | ~$less(sK5,X223) | ~eq_prefix1(int,X217,t2tb2(sK13),X223)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23106,f611])). 15.15/2.50 tff(f23106,plain,( 15.15/2.50 ( ! [X222 : $int,X223 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X217 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X218 | sK5 != X219 | $sum($sum(X220,sK5),$uminus(X219)) != X218 | $less(sK5,0) | sK5 != X221 | ~$less(sK5,X221) | mem(int,t2tb1(X220),t2tb(sK1)) | $less(X220,0) | ~$less(sK5,X222) | ~eq_prefix1(int,X217,t2tb2(sK6),X222) | ~$less(sK5,X223) | ~eq_prefix1(int,X217,t2tb2(sK13),X223)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1959,f7197])). 15.15/2.50 tff(f1959,plain,( 15.15/2.50 ( ! [X10 : $int,X11 : $int,X8 : $int,X9 : uni,X14 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,X9,t2tb1(X8))) != X10 | sK5 != X11 | $sum($sum(X12,X8),$uminus(X11)) != X10 | $less(X8,0) | sK5 != X13 | ~$less(X8,X13) | mem(int,t2tb1(X12),t2tb(sK1)) | $less(X12,0) | ~$less(X8,X14) | ~eq_prefix1(int,X9,t2tb2(sK6),X14)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f1955])). 15.15/2.50 tff(f1955,plain,( 15.15/2.50 ( ! [X10 : $int,X11 : $int,X8 : $int,X9 : uni,X14 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,X9,t2tb1(X8))) != X10 | sK5 != X11 | $sum($sum(X12,X8),$uminus(X11)) != X10 | $less(X8,0) | sK5 != X13 | ~$less(X8,X13) | mem(int,t2tb1(X12),t2tb(sK1)) | $less(X12,0) | ~$less(X8,X14) | $less(X8,0) | ~eq_prefix1(int,X9,t2tb2(sK6),X14)) )), 15.15/2.50 inference(superposition,[],[f446,f409])). 15.15/2.50 tff(f23303,plain,( 15.15/2.50 spl30_558 | spl30_90 | spl30_91 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23299,f768,f609,f1979,f1976,f23301])). 15.15/2.50 tff(f23299,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : uni,X211 : $int,X216 : $int,X214 : $int] : (min_elt1(sK8) != X211 | sK5 != X212 | $sum($sum(X213,sK5),$uminus(X212)) != X211 | sK5 != X214 | ~$less(sK5,X214) | mem(int,t2tb1(X213),t2tb(sK1)) | $less(X213,0) | ~$less(sK5,X215) | ~eq_prefix1(int,t2tb2(sK6),X210,X215) | ~$less(sK5,X216) | ~eq_prefix1(int,X210,t2tb2(sK13),X216)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23298,f312])). 15.15/2.50 tff(f23298,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : uni,X211 : $int,X216 : $int,X214 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X211 | sK5 != X212 | $sum($sum(X213,sK5),$uminus(X212)) != X211 | sK5 != X214 | ~$less(sK5,X214) | mem(int,t2tb1(X213),t2tb(sK1)) | $less(X213,0) | ~$less(sK5,X215) | ~eq_prefix1(int,t2tb2(sK6),X210,X215) | ~$less(sK5,X216) | ~eq_prefix1(int,X210,t2tb2(sK13),X216)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23105,f611])). 15.15/2.50 tff(f23105,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : uni,X211 : $int,X216 : $int,X214 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X211 | sK5 != X212 | $sum($sum(X213,sK5),$uminus(X212)) != X211 | $less(sK5,0) | sK5 != X214 | ~$less(sK5,X214) | mem(int,t2tb1(X213),t2tb(sK1)) | $less(X213,0) | ~$less(sK5,X215) | ~eq_prefix1(int,t2tb2(sK6),X210,X215) | ~$less(sK5,X216) | ~eq_prefix1(int,X210,t2tb2(sK13),X216)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1958,f7197])). 15.15/2.50 tff(f1958,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : $int,X19 : $int,X16 : uni,X17 : $int,X15 : $int,X20 : $int] : (tb2t1(get(int,int,X16,t2tb1(X15))) != X17 | sK5 != X18 | $sum($sum(X19,X15),$uminus(X18)) != X17 | $less(X15,0) | sK5 != X20 | ~$less(X15,X20) | mem(int,t2tb1(X19),t2tb(sK1)) | $less(X19,0) | ~$less(X15,X21) | ~eq_prefix1(int,t2tb2(sK6),X16,X21)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f1956])). 15.15/2.50 tff(f1956,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : $int,X19 : $int,X16 : uni,X17 : $int,X15 : $int,X20 : $int] : (tb2t1(get(int,int,X16,t2tb1(X15))) != X17 | sK5 != X18 | $sum($sum(X19,X15),$uminus(X18)) != X17 | $less(X15,0) | sK5 != X20 | ~$less(X15,X20) | mem(int,t2tb1(X19),t2tb(sK1)) | $less(X19,0) | ~$less(X15,X21) | $less(X15,0) | ~eq_prefix1(int,t2tb2(sK6),X16,X21)) )), 15.15/2.50 inference(superposition,[],[f446,f409])). 15.15/2.50 tff(f23297,plain,( 15.15/2.50 spl30_556 | spl30_321 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23296,f768,f609,f15695,f23280])). 15.15/2.50 tff(f23280,plain,( 15.15/2.50 spl30_556 <=> ! [X179 : uni,X183 : $int,X181 : $int,X182 : map_int_int,X184 : $int] : (~$less(sK5,X181) | ~eq_prefix1(int,X179,t2tb2(sK13),X184) | ~$less(sK5,X184) | ~eq_prefix1(int,X179,t2tb2(X182),X183) | ~$less(sK5,X183) | ~partial_solution1(X181,X182))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_556])])). 15.15/2.50 tff(f23296,plain,( 15.15/2.50 ( ! [X205 : $int,X203 : uni,X208 : $int,X206 : $int,X209 : $int,X207 : map_int_int,X204 : $int] : (min_elt1(sK8) != X204 | n1 != X205 | $less(X204,X205) | ~$less(sK5,X206) | ~partial_solution1(X206,X207) | ~$less(sK5,X208) | ~eq_prefix1(int,X203,t2tb2(X207),X208) | ~$less(sK5,X209) | ~eq_prefix1(int,X203,t2tb2(sK13),X209)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23295,f312])). 15.15/2.50 tff(f23295,plain,( 15.15/2.50 ( ! [X205 : $int,X203 : uni,X208 : $int,X206 : $int,X209 : $int,X207 : map_int_int,X204 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X204 | n1 != X205 | $less(X204,X205) | ~$less(sK5,X206) | ~partial_solution1(X206,X207) | ~$less(sK5,X208) | ~eq_prefix1(int,X203,t2tb2(X207),X208) | ~$less(sK5,X209) | ~eq_prefix1(int,X203,t2tb2(sK13),X209)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23104,f611])). 15.15/2.50 tff(f23104,plain,( 15.15/2.50 ( ! [X205 : $int,X203 : uni,X208 : $int,X206 : $int,X209 : $int,X207 : map_int_int,X204 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X204 | n1 != X205 | $less(X204,X205) | ~$less(sK5,X206) | $less(sK5,0) | ~partial_solution1(X206,X207) | ~$less(sK5,X208) | ~eq_prefix1(int,X203,t2tb2(X207),X208) | ~$less(sK5,X209) | ~eq_prefix1(int,X203,t2tb2(sK13),X209)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1843,f7197])). 15.15/2.50 tff(f1843,plain,( 15.15/2.50 ( ! [X10 : $int,X11 : $int,X8 : uni,X6 : map_int_int,X9 : $int,X7 : $int,X12 : $int] : (tb2t1(get(int,int,X8,t2tb1(X7))) != X9 | n1 != X10 | $less(X9,X10) | ~$less(X7,X11) | $less(X7,0) | ~partial_solution1(X11,X6) | ~$less(X7,X12) | ~eq_prefix1(int,X8,t2tb2(X6),X12)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f1839])). 15.15/2.50 tff(f1839,plain,( 15.15/2.50 ( ! [X10 : $int,X11 : $int,X8 : uni,X6 : map_int_int,X9 : $int,X7 : $int,X12 : $int] : (tb2t1(get(int,int,X8,t2tb1(X7))) != X9 | n1 != X10 | $less(X9,X10) | ~$less(X7,X11) | $less(X7,0) | ~partial_solution1(X11,X6) | ~$less(X7,X12) | $less(X7,0) | ~eq_prefix1(int,X8,t2tb2(X6),X12)) )), 15.15/2.50 inference(superposition,[],[f467,f409])). 15.15/2.50 tff(f23294,plain,( 15.15/2.50 spl30_557 | spl30_321 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23293,f768,f609,f15695,f23286])). 15.15/2.50 tff(f23286,plain,( 15.15/2.50 spl30_557 <=> ! [X189 : $int,X185 : uni,X187 : $int,X190 : $int,X188 : map_int_int] : (~$less(sK5,X187) | ~eq_prefix1(int,X185,t2tb2(sK13),X190) | ~$less(sK5,X190) | ~eq_prefix1(int,t2tb2(X188),X185,X189) | ~$less(sK5,X189) | ~partial_solution1(X187,X188))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_557])])). 15.15/2.50 tff(f23293,plain,( 15.15/2.50 ( ! [X202 : $int,X200 : map_int_int,X198 : $int,X201 : $int,X199 : $int,X196 : uni,X197 : $int] : (min_elt1(sK8) != X197 | n1 != X198 | $less(X197,X198) | ~$less(sK5,X199) | ~partial_solution1(X199,X200) | ~$less(sK5,X201) | ~eq_prefix1(int,t2tb2(X200),X196,X201) | ~$less(sK5,X202) | ~eq_prefix1(int,X196,t2tb2(sK13),X202)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23292,f312])). 15.15/2.50 tff(f23292,plain,( 15.15/2.50 ( ! [X202 : $int,X200 : map_int_int,X198 : $int,X201 : $int,X199 : $int,X196 : uni,X197 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X197 | n1 != X198 | $less(X197,X198) | ~$less(sK5,X199) | ~partial_solution1(X199,X200) | ~$less(sK5,X201) | ~eq_prefix1(int,t2tb2(X200),X196,X201) | ~$less(sK5,X202) | ~eq_prefix1(int,X196,t2tb2(sK13),X202)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23103,f611])). 15.15/2.50 tff(f23103,plain,( 15.15/2.50 ( ! [X202 : $int,X200 : map_int_int,X198 : $int,X201 : $int,X199 : $int,X196 : uni,X197 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X197 | n1 != X198 | $less(X197,X198) | ~$less(sK5,X199) | $less(sK5,0) | ~partial_solution1(X199,X200) | ~$less(sK5,X201) | ~eq_prefix1(int,t2tb2(X200),X196,X201) | ~$less(sK5,X202) | ~eq_prefix1(int,X196,t2tb2(sK13),X202)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1842,f7197])). 15.15/2.50 tff(f1842,plain,( 15.15/2.50 ( ! [X18 : $int,X19 : $int,X16 : $int,X14 : $int,X17 : $int,X15 : uni,X13 : map_int_int] : (tb2t1(get(int,int,X15,t2tb1(X14))) != X16 | n1 != X17 | $less(X16,X17) | ~$less(X14,X18) | $less(X14,0) | ~partial_solution1(X18,X13) | ~$less(X14,X19) | ~eq_prefix1(int,t2tb2(X13),X15,X19)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f1840])). 15.15/2.50 tff(f1840,plain,( 15.15/2.50 ( ! [X18 : $int,X19 : $int,X16 : $int,X14 : $int,X17 : $int,X15 : uni,X13 : map_int_int] : (tb2t1(get(int,int,X15,t2tb1(X14))) != X16 | n1 != X17 | $less(X16,X17) | ~$less(X14,X18) | $less(X14,0) | ~partial_solution1(X18,X13) | ~$less(X14,X19) | $less(X14,0) | ~eq_prefix1(int,t2tb2(X13),X15,X19)) )), 15.15/2.50 inference(superposition,[],[f467,f409])). 15.15/2.50 tff(f23291,plain,( 15.15/2.50 spl30_555 | spl30_321 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23290,f768,f609,f15695,f23274])). 15.15/2.50 tff(f23274,plain,( 15.15/2.50 spl30_555 <=> ! [X178 : $int,X177 : $int,X175 : uni] : (~$less(sK5,X177) | ~eq_prefix1(int,X175,t2tb2(sK13),X178) | ~$less(sK5,X178) | ~partial_solution1(X177,tb2t2(X175)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_555])])). 15.15/2.50 tff(f23290,plain,( 15.15/2.50 ( ! [X191 : uni,X194 : $int,X195 : $int,X192 : $int,X193 : $int] : (min_elt1(sK8) != X192 | n1 != X193 | $less(X192,X193) | ~$less(sK5,X194) | ~partial_solution1(X194,tb2t2(X191)) | ~$less(sK5,X195) | ~eq_prefix1(int,X191,t2tb2(sK13),X195)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23289,f312])). 15.15/2.50 tff(f23289,plain,( 15.15/2.50 ( ! [X191 : uni,X194 : $int,X195 : $int,X192 : $int,X193 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X192 | n1 != X193 | $less(X192,X193) | ~$less(sK5,X194) | ~partial_solution1(X194,tb2t2(X191)) | ~$less(sK5,X195) | ~eq_prefix1(int,X191,t2tb2(sK13),X195)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23102,f611])). 15.15/2.50 tff(f23102,plain,( 15.15/2.50 ( ! [X191 : uni,X194 : $int,X195 : $int,X192 : $int,X193 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X192 | n1 != X193 | $less(X192,X193) | ~$less(sK5,X194) | $less(sK5,0) | ~partial_solution1(X194,tb2t2(X191)) | ~$less(sK5,X195) | ~eq_prefix1(int,X191,t2tb2(sK13),X195)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1835,f7197])). 15.15/2.50 tff(f1835,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int,X4 : $int] : (tb2t1(get(int,int,X0,t2tb1(X1))) != X2 | n1 != X3 | $less(X2,X3) | ~$less(X1,X4) | $less(X1,0) | ~partial_solution1(X4,tb2t2(X0))) )), 15.15/2.50 inference(superposition,[],[f467,f313])). 15.15/2.50 tff(f313,plain,( 15.15/2.50 ( ! [X0 : uni] : (t2tb2(tb2t2(X0)) = X0) )), 15.15/2.50 inference(cnf_transformation,[],[f101])). 15.15/2.50 tff(f101,plain,( 15.15/2.50 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 15.15/2.50 inference(rectify,[],[f13])). 15.15/2.50 tff(f13,axiom,( 15.15/2.50 ! [X13 : uni] : t2tb2(tb2t2(X13)) = X13), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR2)). 15.15/2.50 tff(f23288,plain,( 15.15/2.50 spl30_557 | spl30_76 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23284,f768,f609,f1729,f23286])). 15.15/2.50 tff(f23284,plain,( 15.15/2.50 ( ! [X188 : map_int_int,X189 : $int,X186 : $int,X187 : $int,X185 : uni,X190 : $int] : (min_elt1(sK8) != X186 | ~$less(X186,0) | ~$less(sK5,X187) | ~partial_solution1(X187,X188) | ~$less(sK5,X189) | ~eq_prefix1(int,t2tb2(X188),X185,X189) | ~$less(sK5,X190) | ~eq_prefix1(int,X185,t2tb2(sK13),X190)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23283,f312])). 15.15/2.50 tff(f23283,plain,( 15.15/2.50 ( ! [X188 : map_int_int,X189 : $int,X186 : $int,X187 : $int,X185 : uni,X190 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X186 | ~$less(X186,0) | ~$less(sK5,X187) | ~partial_solution1(X187,X188) | ~$less(sK5,X189) | ~eq_prefix1(int,t2tb2(X188),X185,X189) | ~$less(sK5,X190) | ~eq_prefix1(int,X185,t2tb2(sK13),X190)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23101,f611])). 15.15/2.50 tff(f23101,plain,( 15.15/2.50 ( ! [X188 : map_int_int,X189 : $int,X186 : $int,X187 : $int,X185 : uni,X190 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X186 | ~$less(X186,0) | ~$less(sK5,X187) | $less(sK5,0) | ~partial_solution1(X187,X188) | ~$less(sK5,X189) | ~eq_prefix1(int,t2tb2(X188),X185,X189) | ~$less(sK5,X190) | ~eq_prefix1(int,X185,t2tb2(sK13),X190)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1791,f7197])). 15.15/2.50 tff(f1791,plain,( 15.15/2.50 ( ! [X21 : $int,X24 : $int,X22 : uni,X25 : $int,X23 : $int,X20 : map_int_int] : (tb2t1(get(int,int,X22,t2tb1(X21))) != X23 | ~$less(X23,0) | ~$less(X21,X24) | $less(X21,0) | ~partial_solution1(X24,X20) | ~$less(X21,X25) | ~eq_prefix1(int,t2tb2(X20),X22,X25)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f1783])). 15.15/2.50 tff(f1783,plain,( 15.15/2.50 ( ! [X21 : $int,X24 : $int,X22 : uni,X25 : $int,X23 : $int,X20 : map_int_int] : (tb2t1(get(int,int,X22,t2tb1(X21))) != X23 | ~$less(X23,0) | ~$less(X21,X24) | $less(X21,0) | ~partial_solution1(X24,X20) | ~$less(X21,X25) | $less(X21,0) | ~eq_prefix1(int,t2tb2(X20),X22,X25)) )), 15.15/2.50 inference(superposition,[],[f464,f409])). 15.15/2.50 tff(f23282,plain,( 15.15/2.50 spl30_556 | spl30_76 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23278,f768,f609,f1729,f23280])). 15.15/2.50 tff(f23278,plain,( 15.15/2.50 ( ! [X180 : $int,X181 : $int,X179 : uni,X184 : $int,X182 : map_int_int,X183 : $int] : (min_elt1(sK8) != X180 | ~$less(X180,0) | ~$less(sK5,X181) | ~partial_solution1(X181,X182) | ~$less(sK5,X183) | ~eq_prefix1(int,X179,t2tb2(X182),X183) | ~$less(sK5,X184) | ~eq_prefix1(int,X179,t2tb2(sK13),X184)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23277,f312])). 15.15/2.50 tff(f23277,plain,( 15.15/2.50 ( ! [X180 : $int,X181 : $int,X179 : uni,X184 : $int,X182 : map_int_int,X183 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X180 | ~$less(X180,0) | ~$less(sK5,X181) | ~partial_solution1(X181,X182) | ~$less(sK5,X183) | ~eq_prefix1(int,X179,t2tb2(X182),X183) | ~$less(sK5,X184) | ~eq_prefix1(int,X179,t2tb2(sK13),X184)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23100,f611])). 15.15/2.50 tff(f23100,plain,( 15.15/2.50 ( ! [X180 : $int,X181 : $int,X179 : uni,X184 : $int,X182 : map_int_int,X183 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X180 | ~$less(X180,0) | ~$less(sK5,X181) | $less(sK5,0) | ~partial_solution1(X181,X182) | ~$less(sK5,X183) | ~eq_prefix1(int,X179,t2tb2(X182),X183) | ~$less(sK5,X184) | ~eq_prefix1(int,X179,t2tb2(sK13),X184)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1790,f7197])). 15.15/2.50 tff(f1790,plain,( 15.15/2.50 ( ! [X21 : $int,X24 : $int,X22 : uni,X25 : $int,X23 : $int,X20 : map_int_int] : (tb2t1(get(int,int,X22,t2tb1(X21))) != X23 | ~$less(X23,0) | ~$less(X21,X24) | $less(X21,0) | ~partial_solution1(X24,X20) | ~$less(X21,X25) | ~eq_prefix1(int,X22,t2tb2(X20),X25)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f1789])). 15.15/2.50 tff(f1789,plain,( 15.15/2.50 ( ! [X21 : $int,X24 : $int,X22 : uni,X25 : $int,X23 : $int,X20 : map_int_int] : (tb2t1(get(int,int,X22,t2tb1(X21))) != X23 | ~$less(X23,0) | ~$less(X21,X24) | $less(X21,0) | ~partial_solution1(X24,X20) | ~$less(X21,X25) | $less(X21,0) | ~eq_prefix1(int,X22,t2tb2(X20),X25)) )), 15.15/2.50 inference(superposition,[],[f464,f409])). 15.15/2.50 tff(f23276,plain,( 15.15/2.50 spl30_555 | spl30_76 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23272,f768,f609,f1729,f23274])). 15.15/2.50 tff(f23272,plain,( 15.15/2.50 ( ! [X178 : $int,X176 : $int,X177 : $int,X175 : uni] : (min_elt1(sK8) != X176 | ~$less(X176,0) | ~$less(sK5,X177) | ~partial_solution1(X177,tb2t2(X175)) | ~$less(sK5,X178) | ~eq_prefix1(int,X175,t2tb2(sK13),X178)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23271,f312])). 15.15/2.50 tff(f23271,plain,( 15.15/2.50 ( ! [X178 : $int,X176 : $int,X177 : $int,X175 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X176 | ~$less(X176,0) | ~$less(sK5,X177) | ~partial_solution1(X177,tb2t2(X175)) | ~$less(sK5,X178) | ~eq_prefix1(int,X175,t2tb2(sK13),X178)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23099,f611])). 15.15/2.50 tff(f23099,plain,( 15.15/2.50 ( ! [X178 : $int,X176 : $int,X177 : $int,X175 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X176 | ~$less(X176,0) | ~$less(sK5,X177) | $less(sK5,0) | ~partial_solution1(X177,tb2t2(X175)) | ~$less(sK5,X178) | ~eq_prefix1(int,X175,t2tb2(sK13),X178)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1709,f7197])). 15.15/2.50 tff(f1709,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int] : (tb2t1(get(int,int,X0,t2tb1(X1))) != X2 | ~$less(X2,0) | ~$less(X1,X3) | $less(X1,0) | ~partial_solution1(X3,tb2t2(X0))) )), 15.15/2.50 inference(superposition,[],[f464,f313])). 15.15/2.50 tff(f23270,plain,( 15.15/2.50 spl30_554 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23098,f768,f609,f489,f2154,f23268])). 15.15/2.50 tff(f23268,plain,( 15.15/2.50 spl30_554 <=> ! [X173 : uni,X174 : $int] : (~eq_prefix1(int,t2tb2(sK12),X173,sK5) | ~eq_prefix1(int,X173,t2tb2(sK13),X174) | ~$less(sK5,X174) | ~partial_solution1(n1,tb2t2(X173)) | eq_prefix1(int,X173,get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(tb2t2(X173)))),n1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_554])])). 15.15/2.50 tff(f2154,plain,( 15.15/2.50 spl30_99 <=> mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_99])])). 15.15/2.50 tff(f489,plain,( 15.15/2.50 spl30_1 <=> sK5 = sK11), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_1])])). 15.15/2.50 tff(f23098,plain,( 15.15/2.50 ( ! [X174 : $int,X173 : uni] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),X173,sK5) | eq_prefix1(int,X173,get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(tb2t2(X173)))),n1) | ~partial_solution1(n1,tb2t2(X173)) | ~$less(sK5,X174) | ~eq_prefix1(int,X173,t2tb2(sK13),X174)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2131,f7197])). 15.15/2.50 tff(f2131,plain,( 15.15/2.50 ( ! [X0 : uni] : (~mem(int,get(int,int,X0,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),X0,sK5) | eq_prefix1(int,X0,get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(tb2t2(X0)))),n1) | ~partial_solution1(n1,tb2t2(X0))) ) | ~spl30_1), 15.15/2.50 inference(superposition,[],[f2126,f313])). 15.15/2.50 tff(f2126,plain,( 15.15/2.50 ( ! [X19 : map_int_int] : (~mem(int,get(int,int,t2tb2(X19),t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X19),sK5) | eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X19))),n1) | ~partial_solution1(n1,X19)) ) | ~spl30_1), 15.15/2.50 inference(forward_demodulation,[],[f2125,f491])). 15.15/2.50 tff(f491,plain,( 15.15/2.50 sK5 = sK11 | ~spl30_1), 15.15/2.50 inference(avatar_component_clause,[],[f489])). 15.15/2.50 tff(f2125,plain,( 15.15/2.50 ( ! [X19 : map_int_int] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X19),sK5) | eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X19))),n1) | ~partial_solution1(n1,X19) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) ) | ~spl30_1), 15.15/2.50 inference(forward_demodulation,[],[f284,f491])). 15.15/2.50 tff(f284,plain,( 15.15/2.50 ( ! [X19 : map_int_int] : (eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X19))),n1) | ~partial_solution1(n1,X19) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X19),sK11) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.50 inference(cnf_transformation,[],[f219])). 15.15/2.50 tff(f23266,plain,( 15.15/2.50 spl30_553 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23097,f768,f609,f489,f2154,f23264])). 15.15/2.50 tff(f23264,plain,( 15.15/2.50 spl30_553 <=> ! [X171 : $int,X169 : uni,X170 : map_int_int,X172 : $int] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X170),sK5) | ~eq_prefix1(int,X169,t2tb2(sK13),X172) | ~$less(sK5,X172) | ~eq_prefix1(int,X169,t2tb2(X170),X171) | ~$less(sK5,X171) | ~partial_solution1(n1,X170) | eq_prefix1(int,t2tb2(X170),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X170))),n1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_553])])). 15.15/2.50 tff(f23097,plain,( 15.15/2.50 ( ! [X170 : map_int_int,X171 : $int,X169 : uni,X172 : $int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X170),sK5) | eq_prefix1(int,t2tb2(X170),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X170))),n1) | ~partial_solution1(n1,X170) | ~$less(sK5,X171) | ~eq_prefix1(int,X169,t2tb2(X170),X171) | ~$less(sK5,X172) | ~eq_prefix1(int,X169,t2tb2(sK13),X172)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2158,f7197])). 15.15/2.50 tff(f2158,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : map_int_int,X1 : uni] : (~mem(int,get(int,int,X1,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1) | ~partial_solution1(n1,X0) | ~$less(sK5,X2) | ~eq_prefix1(int,X1,t2tb2(X0),X2)) ) | (~spl30_1 | spl30_21)), 15.15/2.50 inference(subsumption_resolution,[],[f2135,f611])). 15.15/2.50 tff(f2135,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : map_int_int,X1 : uni] : (~mem(int,get(int,int,X1,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1) | ~partial_solution1(n1,X0) | ~$less(sK5,X2) | $less(sK5,0) | ~eq_prefix1(int,X1,t2tb2(X0),X2)) ) | ~spl30_1), 15.15/2.50 inference(superposition,[],[f2126,f409])). 15.15/2.50 tff(f23262,plain,( 15.15/2.50 spl30_552 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23096,f768,f609,f489,f2154,f23260])). 15.15/2.50 tff(f23260,plain,( 15.15/2.50 spl30_552 <=> ! [X167 : $int,X166 : map_int_int,X168 : $int,X165 : uni] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X166),sK5) | ~eq_prefix1(int,X165,t2tb2(sK13),X168) | ~$less(sK5,X168) | ~eq_prefix1(int,t2tb2(X166),X165,X167) | ~$less(sK5,X167) | ~partial_solution1(n1,X166) | eq_prefix1(int,t2tb2(X166),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X166))),n1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_552])])). 15.15/2.50 tff(f23096,plain,( 15.15/2.50 ( ! [X168 : $int,X166 : map_int_int,X167 : $int,X165 : uni] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X166),sK5) | eq_prefix1(int,t2tb2(X166),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X166))),n1) | ~partial_solution1(n1,X166) | ~$less(sK5,X167) | ~eq_prefix1(int,t2tb2(X166),X165,X167) | ~$less(sK5,X168) | ~eq_prefix1(int,X165,t2tb2(sK13),X168)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2159,f7197])). 15.15/2.50 tff(f2159,plain,( 15.15/2.50 ( ! [X3 : map_int_int,X4 : uni,X5 : $int] : (~mem(int,get(int,int,X4,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X3),sK5) | eq_prefix1(int,t2tb2(X3),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X3))),n1) | ~partial_solution1(n1,X3) | ~$less(sK5,X5) | ~eq_prefix1(int,t2tb2(X3),X4,X5)) ) | (~spl30_1 | spl30_21)), 15.15/2.50 inference(subsumption_resolution,[],[f2136,f611])). 15.15/2.50 tff(f2136,plain,( 15.15/2.50 ( ! [X3 : map_int_int,X4 : uni,X5 : $int] : (~mem(int,get(int,int,X4,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X3),sK5) | eq_prefix1(int,t2tb2(X3),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X3))),n1) | ~partial_solution1(n1,X3) | ~$less(sK5,X5) | $less(sK5,0) | ~eq_prefix1(int,t2tb2(X3),X4,X5)) ) | ~spl30_1), 15.15/2.50 inference(superposition,[],[f2126,f409])). 15.15/2.50 tff(f23258,plain,( 15.15/2.50 spl30_322 | spl30_90 | spl30_91 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23257,f768,f609,f1979,f1976,f15704])). 15.15/2.50 tff(f15704,plain,( 15.15/2.50 spl30_322 <=> ! [X122 : $int] : (~$less(sK5,X122) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X122))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_322])])). 15.15/2.50 tff(f23257,plain,( 15.15/2.50 ( ! [X160 : $int,X158 : $int,X161 : $int,X159 : $int,X157 : $int] : (min_elt1(sK8) != X157 | sK5 != X158 | $sum($sum(X159,sK5),$uminus(X158)) != X157 | sK5 != X160 | ~$less(sK5,X160) | mem(int,t2tb1(X159),t2tb(sK1)) | $less(X159,0) | ~$less(sK5,X161) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X161)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23256,f312])). 15.15/2.50 tff(f23256,plain,( 15.15/2.50 ( ! [X160 : $int,X158 : $int,X161 : $int,X159 : $int,X157 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X157 | sK5 != X158 | $sum($sum(X159,sK5),$uminus(X158)) != X157 | sK5 != X160 | ~$less(sK5,X160) | mem(int,t2tb1(X159),t2tb(sK1)) | $less(X159,0) | ~$less(sK5,X161) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X161)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23093,f611])). 15.15/2.50 tff(f23093,plain,( 15.15/2.50 ( ! [X160 : $int,X158 : $int,X161 : $int,X159 : $int,X157 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X157 | sK5 != X158 | $sum($sum(X159,sK5),$uminus(X158)) != X157 | $less(sK5,0) | sK5 != X160 | ~$less(sK5,X160) | mem(int,t2tb1(X159),t2tb(sK1)) | $less(X159,0) | ~$less(sK5,X161) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X161)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f446,f7197])). 15.15/2.50 tff(f23255,plain,( 15.15/2.50 spl30_322 | spl30_90 | spl30_324 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23254,f768,f609,f15716,f1976,f15704])). 15.15/2.50 tff(f23254,plain,( 15.15/2.50 ( ! [X155 : $int,X152 : $int,X153 : $int,X156 : $int,X154 : $int] : (min_elt1(sK8) != X152 | sK5 != X153 | $sum($sum(X154,X153),$uminus(sK5)) != X152 | sK5 != X155 | ~$less(sK5,X155) | mem(int,t2tb1(X154),t2tb(sK2)) | $less(X154,0) | ~$less(sK5,X156) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X156)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23253,f312])). 15.15/2.50 tff(f23253,plain,( 15.15/2.50 ( ! [X155 : $int,X152 : $int,X153 : $int,X156 : $int,X154 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X152 | sK5 != X153 | $sum($sum(X154,X153),$uminus(sK5)) != X152 | sK5 != X155 | ~$less(sK5,X155) | mem(int,t2tb1(X154),t2tb(sK2)) | $less(X154,0) | ~$less(sK5,X156) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X156)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23092,f611])). 15.15/2.50 tff(f23092,plain,( 15.15/2.50 ( ! [X155 : $int,X152 : $int,X153 : $int,X156 : $int,X154 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X152 | sK5 != X153 | $sum($sum(X154,X153),$uminus(sK5)) != X152 | sK5 != X155 | ~$less(sK5,X155) | $less(sK5,0) | mem(int,t2tb1(X154),t2tb(sK2)) | $less(X154,0) | ~$less(sK5,X156) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X156)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f450,f7197])). 15.15/2.50 tff(f23252,plain,( 15.15/2.50 spl30_322 | spl30_90 | spl30_529 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23251,f768,f609,f22836,f1976,f15704])). 15.15/2.50 tff(f22836,plain,( 15.15/2.50 spl30_529 <=> ! [X148 : $int,X147 : $int] : (min_elt1(sK8) != $sum($sum(X147,sK5),$uminus(X148)) | $less(X147,0) | mem(int,t2tb1(X147),t2tb(sK1)) | sK5 != X148)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_529])])). 15.15/2.50 tff(f23251,plain,( 15.15/2.50 ( ! [X150 : $int,X148 : $int,X149 : $int,X147 : $int] : (min_elt1(sK8) != $sum($sum(X147,sK5),$uminus(X148)) | sK5 != X148 | sK5 != X149 | ~$less(sK5,X149) | mem(int,t2tb1(X147),t2tb(sK1)) | $less(X147,0) | ~$less(sK5,X150) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X150)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23250,f312])). 15.15/2.50 tff(f23250,plain,( 15.15/2.50 ( ! [X150 : $int,X148 : $int,X149 : $int,X147 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != $sum($sum(X147,sK5),$uminus(X148)) | sK5 != X148 | sK5 != X149 | ~$less(sK5,X149) | mem(int,t2tb1(X147),t2tb(sK1)) | $less(X147,0) | ~$less(sK5,X150) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X150)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23090,f611])). 15.15/2.50 tff(f23090,plain,( 15.15/2.50 ( ! [X150 : $int,X148 : $int,X149 : $int,X147 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != $sum($sum(X147,sK5),$uminus(X148)) | sK5 != X148 | $less(sK5,0) | sK5 != X149 | ~$less(sK5,X149) | mem(int,t2tb1(X147),t2tb(sK1)) | $less(X147,0) | ~$less(sK5,X150) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X150)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1957,f7197])). 15.15/2.50 tff(f23249,plain,( 15.15/2.50 spl30_322 | spl30_90 | spl30_528 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23248,f768,f609,f22830,f1976,f15704])). 15.15/2.50 tff(f22830,plain,( 15.15/2.50 spl30_528 <=> ! [X144 : $int,X143 : $int] : (min_elt1(sK8) != $sum($sum(X143,X144),$uminus(sK5)) | $less(X143,0) | mem(int,t2tb1(X143),t2tb(sK2)) | sK5 != X144)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_528])])). 15.15/2.50 tff(f23248,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (min_elt1(sK8) != $sum($sum(X143,X144),$uminus(sK5)) | sK5 != X144 | sK5 != X145 | ~$less(sK5,X145) | mem(int,t2tb1(X143),t2tb(sK2)) | $less(X143,0) | ~$less(sK5,X146) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X146)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23247,f312])). 15.15/2.50 tff(f23247,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != $sum($sum(X143,X144),$uminus(sK5)) | sK5 != X144 | sK5 != X145 | ~$less(sK5,X145) | mem(int,t2tb1(X143),t2tb(sK2)) | $less(X143,0) | ~$less(sK5,X146) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X146)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23089,f611])). 15.15/2.50 tff(f23089,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != $sum($sum(X143,X144),$uminus(sK5)) | sK5 != X144 | sK5 != X145 | ~$less(sK5,X145) | $less(sK5,0) | mem(int,t2tb1(X143),t2tb(sK2)) | $less(X143,0) | ~$less(sK5,X146) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X146)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1989,f7197])). 15.15/2.50 tff(f23229,plain,( 15.15/2.50 spl30_102 | spl30_551 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23225,f768,f609,f23227,f2202])). 15.15/2.50 tff(f23227,plain,( 15.15/2.50 spl30_551 <=> ! [X66 : map_int_int,X61 : map_int_int,X65 : $int,X64 : uni,X67 : $int,X62 : $int,X68 : $int] : (min_elt1(sK8) != X62 | ~eq_prefix1(int,t2tb2(X61),t2tb2(sK13),X68) | ~$less(sK5,X68) | ~eq_prefix1(int,X64,t2tb2(X66),X67) | ~$less(sK5,X67) | ~$less(X62,X65) | lt_sol1(X61,X66) | ~eq_prefix1(int,t2tb2(X61),t2tb2(X66),sK5) | tb2t1(get(int,int,X64,t2tb1(sK5))) != X65)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_551])])). 15.15/2.50 tff(f23225,plain,( 15.15/2.50 ( ! [X65 : $int,X68 : $int,X62 : $int,X63 : $int,X66 : map_int_int,X61 : map_int_int,X67 : $int,X64 : uni] : (min_elt1(sK8) != X62 | n1 != X63 | ~$less(sK5,X63) | tb2t1(get(int,int,X64,t2tb1(sK5))) != X65 | lt_sol1(X61,X66) | ~$less(X62,X65) | ~eq_prefix1(int,t2tb2(X61),t2tb2(X66),sK5) | ~$less(sK5,X67) | ~eq_prefix1(int,X64,t2tb2(X66),X67) | ~$less(sK5,X68) | ~eq_prefix1(int,t2tb2(X61),t2tb2(sK13),X68)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23224,f312])). 15.15/2.50 tff(f23224,plain,( 15.15/2.50 ( ! [X65 : $int,X68 : $int,X62 : $int,X63 : $int,X66 : map_int_int,X61 : map_int_int,X67 : $int,X64 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X62 | n1 != X63 | ~$less(sK5,X63) | tb2t1(get(int,int,X64,t2tb1(sK5))) != X65 | lt_sol1(X61,X66) | ~$less(X62,X65) | ~eq_prefix1(int,t2tb2(X61),t2tb2(X66),sK5) | ~$less(sK5,X67) | ~eq_prefix1(int,X64,t2tb2(X66),X67) | ~$less(sK5,X68) | ~eq_prefix1(int,t2tb2(X61),t2tb2(sK13),X68)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23076,f611])). 15.15/2.50 tff(f23076,plain,( 15.15/2.50 ( ! [X65 : $int,X68 : $int,X62 : $int,X63 : $int,X66 : map_int_int,X61 : map_int_int,X67 : $int,X64 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X62 | $less(sK5,0) | n1 != X63 | ~$less(sK5,X63) | tb2t1(get(int,int,X64,t2tb1(sK5))) != X65 | lt_sol1(X61,X66) | ~$less(X62,X65) | ~eq_prefix1(int,t2tb2(X61),t2tb2(X66),sK5) | ~$less(sK5,X67) | ~eq_prefix1(int,X64,t2tb2(X66),X67) | ~$less(sK5,X68) | ~eq_prefix1(int,t2tb2(X61),t2tb2(sK13),X68)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2189,f7197])). 15.15/2.50 tff(f2189,plain,( 15.15/2.50 ( ! [X10 : uni,X11 : $int,X8 : map_int_int,X9 : $int,X14 : $int,X15 : $int,X12 : $int,X13 : map_int_int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X9))) != X14 | $less(X9,0) | n1 != X12 | ~$less(X9,X12) | tb2t1(get(int,int,X10,t2tb1(X9))) != X11 | lt_sol1(X13,X8) | ~$less(X14,X11) | ~eq_prefix1(int,t2tb2(X13),t2tb2(X8),X9) | ~$less(X9,X15) | ~eq_prefix1(int,X10,t2tb2(X8),X15)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f2185])). 15.15/2.50 tff(f2185,plain,( 15.15/2.50 ( ! [X10 : uni,X11 : $int,X8 : map_int_int,X9 : $int,X14 : $int,X15 : $int,X12 : $int,X13 : map_int_int] : (tb2t1(get(int,int,X10,t2tb1(X9))) != X11 | $less(X9,0) | n1 != X12 | ~$less(X9,X12) | tb2t1(get(int,int,t2tb2(X13),t2tb1(X9))) != X14 | lt_sol1(X13,X8) | ~$less(X14,X11) | ~eq_prefix1(int,t2tb2(X13),t2tb2(X8),X9) | ~$less(X9,X15) | $less(X9,0) | ~eq_prefix1(int,X10,t2tb2(X8),X15)) )), 15.15/2.50 inference(superposition,[],[f475,f409])). 15.15/2.50 tff(f23223,plain,( 15.15/2.50 spl30_102 | spl30_550 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23219,f768,f609,f23221,f2202])). 15.15/2.50 tff(f23221,plain,( 15.15/2.50 spl30_550 <=> ! [X59 : $int,X54 : $int,X53 : map_int_int,X56 : uni,X57 : $int,X58 : map_int_int,X60 : $int] : (min_elt1(sK8) != X54 | ~eq_prefix1(int,t2tb2(X53),t2tb2(sK13),X60) | ~$less(sK5,X60) | ~eq_prefix1(int,t2tb2(X58),X56,X59) | ~$less(sK5,X59) | ~$less(X54,X57) | lt_sol1(X53,X58) | ~eq_prefix1(int,t2tb2(X53),t2tb2(X58),sK5) | tb2t1(get(int,int,X56,t2tb1(sK5))) != X57)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_550])])). 15.15/2.50 tff(f23219,plain,( 15.15/2.50 ( ! [X58 : map_int_int,X59 : $int,X56 : uni,X54 : $int,X57 : $int,X55 : $int,X53 : map_int_int,X60 : $int] : (min_elt1(sK8) != X54 | n1 != X55 | ~$less(sK5,X55) | tb2t1(get(int,int,X56,t2tb1(sK5))) != X57 | lt_sol1(X53,X58) | ~$less(X54,X57) | ~eq_prefix1(int,t2tb2(X53),t2tb2(X58),sK5) | ~$less(sK5,X59) | ~eq_prefix1(int,t2tb2(X58),X56,X59) | ~$less(sK5,X60) | ~eq_prefix1(int,t2tb2(X53),t2tb2(sK13),X60)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23218,f312])). 15.15/2.50 tff(f23218,plain,( 15.15/2.50 ( ! [X58 : map_int_int,X59 : $int,X56 : uni,X54 : $int,X57 : $int,X55 : $int,X53 : map_int_int,X60 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X54 | n1 != X55 | ~$less(sK5,X55) | tb2t1(get(int,int,X56,t2tb1(sK5))) != X57 | lt_sol1(X53,X58) | ~$less(X54,X57) | ~eq_prefix1(int,t2tb2(X53),t2tb2(X58),sK5) | ~$less(sK5,X59) | ~eq_prefix1(int,t2tb2(X58),X56,X59) | ~$less(sK5,X60) | ~eq_prefix1(int,t2tb2(X53),t2tb2(sK13),X60)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23075,f611])). 15.15/2.50 tff(f23075,plain,( 15.15/2.50 ( ! [X58 : map_int_int,X59 : $int,X56 : uni,X54 : $int,X57 : $int,X55 : $int,X53 : map_int_int,X60 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X54 | $less(sK5,0) | n1 != X55 | ~$less(sK5,X55) | tb2t1(get(int,int,X56,t2tb1(sK5))) != X57 | lt_sol1(X53,X58) | ~$less(X54,X57) | ~eq_prefix1(int,t2tb2(X53),t2tb2(X58),sK5) | ~$less(sK5,X59) | ~eq_prefix1(int,t2tb2(X58),X56,X59) | ~$less(sK5,X60) | ~eq_prefix1(int,t2tb2(X53),t2tb2(sK13),X60)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2188,f7197])). 15.15/2.50 tff(f2188,plain,( 15.15/2.50 ( ! [X21 : map_int_int,X18 : uni,X19 : $int,X16 : map_int_int,X17 : $int,X22 : $int,X23 : $int,X20 : $int] : (tb2t1(get(int,int,t2tb2(X21),t2tb1(X17))) != X22 | $less(X17,0) | n1 != X20 | ~$less(X17,X20) | tb2t1(get(int,int,X18,t2tb1(X17))) != X19 | lt_sol1(X21,X16) | ~$less(X22,X19) | ~eq_prefix1(int,t2tb2(X21),t2tb2(X16),X17) | ~$less(X17,X23) | ~eq_prefix1(int,t2tb2(X16),X18,X23)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f2186])). 15.15/2.50 tff(f2186,plain,( 15.15/2.50 ( ! [X21 : map_int_int,X18 : uni,X19 : $int,X16 : map_int_int,X17 : $int,X22 : $int,X23 : $int,X20 : $int] : (tb2t1(get(int,int,X18,t2tb1(X17))) != X19 | $less(X17,0) | n1 != X20 | ~$less(X17,X20) | tb2t1(get(int,int,t2tb2(X21),t2tb1(X17))) != X22 | lt_sol1(X21,X16) | ~$less(X22,X19) | ~eq_prefix1(int,t2tb2(X21),t2tb2(X16),X17) | ~$less(X17,X23) | $less(X17,0) | ~eq_prefix1(int,t2tb2(X16),X18,X23)) )), 15.15/2.50 inference(superposition,[],[f475,f409])). 15.15/2.50 tff(f23217,plain,( 15.15/2.50 spl30_102 | spl30_549 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23213,f768,f609,f23215,f2202])). 15.15/2.50 tff(f23215,plain,( 15.15/2.50 spl30_549 <=> ! [X48 : map_int_int,X51 : map_int_int,X49 : $int,X52 : $int] : (min_elt1(sK8) != X49 | ~eq_prefix1(int,t2tb2(X48),t2tb2(sK13),X52) | ~$less(sK5,X52) | ~eq_prefix1(int,t2tb2(X48),t2tb2(X51),sK5) | ~$less(X49,tb2t1(get(int,int,t2tb2(X51),t2tb1(sK5)))) | lt_sol1(X48,X51))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_549])])). 15.15/2.50 tff(f23213,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : map_int_int,X48 : map_int_int,X49 : $int,X52 : $int] : (min_elt1(sK8) != X49 | n1 != X50 | ~$less(sK5,X50) | lt_sol1(X48,X51) | ~$less(X49,tb2t1(get(int,int,t2tb2(X51),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(X48),t2tb2(X51),sK5) | ~$less(sK5,X52) | ~eq_prefix1(int,t2tb2(X48),t2tb2(sK13),X52)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23212,f312])). 15.15/2.50 tff(f23212,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : map_int_int,X48 : map_int_int,X49 : $int,X52 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X49 | n1 != X50 | ~$less(sK5,X50) | lt_sol1(X48,X51) | ~$less(X49,tb2t1(get(int,int,t2tb2(X51),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(X48),t2tb2(X51),sK5) | ~$less(sK5,X52) | ~eq_prefix1(int,t2tb2(X48),t2tb2(sK13),X52)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23074,f611])). 15.15/2.50 tff(f23074,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : map_int_int,X48 : map_int_int,X49 : $int,X52 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X49 | n1 != X50 | ~$less(sK5,X50) | $less(sK5,0) | lt_sol1(X48,X51) | ~$less(X49,tb2t1(get(int,int,t2tb2(X51),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(X48),t2tb2(X51),sK5) | ~$less(sK5,X52) | ~eq_prefix1(int,t2tb2(X48),t2tb2(sK13),X52)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2187,f7197])). 15.15/2.50 tff(f2187,plain,( 15.15/2.50 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int,X4 : map_int_int] : (tb2t1(get(int,int,t2tb2(X2),t2tb1(X0))) != X3 | n1 != X1 | ~$less(X0,X1) | $less(X0,0) | lt_sol1(X2,X4) | ~$less(X3,tb2t1(get(int,int,t2tb2(X4),t2tb1(X0)))) | ~eq_prefix1(int,t2tb2(X2),t2tb2(X4),X0)) )), 15.15/2.50 inference(equality_resolution,[],[f475])). 15.15/2.50 tff(f23211,plain,( 15.15/2.50 spl30_102 | spl30_548 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23207,f768,f609,f23209,f2202])). 15.15/2.50 tff(f23209,plain,( 15.15/2.50 spl30_548 <=> ! [X42 : map_int_int,X43 : $int,X47 : $int,X46 : $int,X45 : uni] : (min_elt1(sK8) != X43 | ~eq_prefix1(int,t2tb2(X42),t2tb2(sK13),X47) | ~$less(sK5,X47) | ~eq_prefix1(int,t2tb2(X42),X45,sK5) | ~$less(X43,X46) | lt_sol1(X42,tb2t2(X45)) | tb2t1(get(int,int,X45,t2tb1(sK5))) != X46)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_548])])). 15.15/2.50 tff(f23207,plain,( 15.15/2.50 ( ! [X46 : $int,X47 : $int,X44 : $int,X45 : uni,X42 : map_int_int,X43 : $int] : (min_elt1(sK8) != X43 | n1 != X44 | ~$less(sK5,X44) | tb2t1(get(int,int,X45,t2tb1(sK5))) != X46 | lt_sol1(X42,tb2t2(X45)) | ~$less(X43,X46) | ~eq_prefix1(int,t2tb2(X42),X45,sK5) | ~$less(sK5,X47) | ~eq_prefix1(int,t2tb2(X42),t2tb2(sK13),X47)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23206,f312])). 15.15/2.50 tff(f23206,plain,( 15.15/2.50 ( ! [X46 : $int,X47 : $int,X44 : $int,X45 : uni,X42 : map_int_int,X43 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X43 | n1 != X44 | ~$less(sK5,X44) | tb2t1(get(int,int,X45,t2tb1(sK5))) != X46 | lt_sol1(X42,tb2t2(X45)) | ~$less(X43,X46) | ~eq_prefix1(int,t2tb2(X42),X45,sK5) | ~$less(sK5,X47) | ~eq_prefix1(int,t2tb2(X42),t2tb2(sK13),X47)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23073,f611])). 15.15/2.50 tff(f23073,plain,( 15.15/2.50 ( ! [X46 : $int,X47 : $int,X44 : $int,X45 : uni,X42 : map_int_int,X43 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X43 | $less(sK5,0) | n1 != X44 | ~$less(sK5,X44) | tb2t1(get(int,int,X45,t2tb1(sK5))) != X46 | lt_sol1(X42,tb2t2(X45)) | ~$less(X43,X46) | ~eq_prefix1(int,t2tb2(X42),X45,sK5) | ~$less(sK5,X47) | ~eq_prefix1(int,t2tb2(X42),t2tb2(sK13),X47)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2181,f7197])). 15.15/2.50 tff(f2181,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int,X4 : map_int_int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X1))) != X5 | $less(X1,0) | n1 != X3 | ~$less(X1,X3) | tb2t1(get(int,int,X0,t2tb1(X1))) != X2 | lt_sol1(X4,tb2t2(X0)) | ~$less(X5,X2) | ~eq_prefix1(int,t2tb2(X4),X0,X1)) )), 15.15/2.50 inference(superposition,[],[f475,f313])). 15.15/2.50 tff(f23203,plain,( 15.15/2.50 spl30_102 | spl30_547 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23199,f768,f609,f23201,f2202])). 15.15/2.50 tff(f23201,plain,( 15.15/2.50 spl30_547 <=> ! [X38 : $int,X33 : map_int_int,X34 : $int,X36 : map_int_int,X37 : $int] : (min_elt1(sK8) != X34 | ~eq_prefix1(int,t2tb2(X33),t2tb2(sK13),X38) | ~$less(sK5,X38) | ~eq_prefix1(int,t2tb2(X36),t2tb2(X33),sK5) | lt_sol1(X36,X33) | tb2t1(get(int,int,t2tb2(X36),t2tb1(sK5))) != X37 | ~$less(X37,X34))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_547])])). 15.15/2.50 tff(f23199,plain,( 15.15/2.50 ( ! [X38 : $int,X36 : map_int_int,X37 : $int,X34 : $int,X35 : $int,X33 : map_int_int] : (min_elt1(sK8) != X34 | n1 != X35 | ~$less(sK5,X35) | tb2t1(get(int,int,t2tb2(X36),t2tb1(sK5))) != X37 | lt_sol1(X36,X33) | ~$less(X37,X34) | ~eq_prefix1(int,t2tb2(X36),t2tb2(X33),sK5) | ~$less(sK5,X38) | ~eq_prefix1(int,t2tb2(X33),t2tb2(sK13),X38)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23198,f312])). 15.15/2.50 tff(f23198,plain,( 15.15/2.50 ( ! [X38 : $int,X36 : map_int_int,X37 : $int,X34 : $int,X35 : $int,X33 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X34 | n1 != X35 | ~$less(sK5,X35) | tb2t1(get(int,int,t2tb2(X36),t2tb1(sK5))) != X37 | lt_sol1(X36,X33) | ~$less(X37,X34) | ~eq_prefix1(int,t2tb2(X36),t2tb2(X33),sK5) | ~$less(sK5,X38) | ~eq_prefix1(int,t2tb2(X33),t2tb2(sK13),X38)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23071,f611])). 15.15/2.50 tff(f23071,plain,( 15.15/2.50 ( ! [X38 : $int,X36 : map_int_int,X37 : $int,X34 : $int,X35 : $int,X33 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X34 | $less(sK5,0) | n1 != X35 | ~$less(sK5,X35) | tb2t1(get(int,int,t2tb2(X36),t2tb1(sK5))) != X37 | lt_sol1(X36,X33) | ~$less(X37,X34) | ~eq_prefix1(int,t2tb2(X36),t2tb2(X33),sK5) | ~$less(sK5,X38) | ~eq_prefix1(int,t2tb2(X33),t2tb2(sK13),X38)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f475,f7197])). 15.15/2.50 tff(f23197,plain,( 15.15/2.50 spl30_320 | spl30_321 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23196,f768,f609,f15695,f15686])). 15.15/2.50 tff(f23196,plain,( 15.15/2.50 ( ! [X31 : $int,X28 : map_int_int,X29 : $int,X32 : $int,X30 : $int] : (min_elt1(sK8) != X29 | n1 != X30 | $less(X29,X30) | ~$less(sK5,X31) | ~partial_solution1(X31,X28) | ~$less(sK5,X32) | ~eq_prefix1(int,t2tb2(X28),t2tb2(sK13),X32)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23195,f312])). 15.15/2.50 tff(f23195,plain,( 15.15/2.50 ( ! [X31 : $int,X28 : map_int_int,X29 : $int,X32 : $int,X30 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X29 | n1 != X30 | $less(X29,X30) | ~$less(sK5,X31) | ~partial_solution1(X31,X28) | ~$less(sK5,X32) | ~eq_prefix1(int,t2tb2(X28),t2tb2(sK13),X32)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23070,f611])). 15.15/2.50 tff(f23070,plain,( 15.15/2.50 ( ! [X31 : $int,X28 : map_int_int,X29 : $int,X32 : $int,X30 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X29 | n1 != X30 | $less(X29,X30) | ~$less(sK5,X31) | $less(sK5,0) | ~partial_solution1(X31,X28) | ~$less(sK5,X32) | ~eq_prefix1(int,t2tb2(X28),t2tb2(sK13),X32)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f467,f7197])). 15.15/2.50 tff(f23188,plain,( 15.15/2.50 spl30_320 | spl30_76 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23187,f768,f609,f1729,f15686])). 15.15/2.50 tff(f23187,plain,( 15.15/2.50 ( ! [X14 : $int,X15 : $int,X12 : map_int_int,X13 : $int] : (min_elt1(sK8) != X13 | ~$less(X13,0) | ~$less(sK5,X14) | ~partial_solution1(X14,X12) | ~$less(sK5,X15) | ~eq_prefix1(int,t2tb2(X12),t2tb2(sK13),X15)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f23186,f312])). 15.15/2.50 tff(f23186,plain,( 15.15/2.50 ( ! [X14 : $int,X15 : $int,X12 : map_int_int,X13 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X13 | ~$less(X13,0) | ~$less(sK5,X14) | ~partial_solution1(X14,X12) | ~$less(sK5,X15) | ~eq_prefix1(int,t2tb2(X12),t2tb2(sK13),X15)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f23067,f611])). 15.15/2.50 tff(f23067,plain,( 15.15/2.50 ( ! [X14 : $int,X15 : $int,X12 : map_int_int,X13 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X13 | ~$less(X13,0) | ~$less(sK5,X14) | $less(sK5,0) | ~partial_solution1(X14,X12) | ~$less(sK5,X15) | ~eq_prefix1(int,t2tb2(X12),t2tb2(sK13),X15)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f464,f7197])). 15.15/2.50 tff(f23180,plain,( 15.15/2.50 spl30_317 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23064,f768,f609,f489,f2154,f15665])). 15.15/2.50 tff(f15665,plain,( 15.15/2.50 spl30_317 <=> ! [X91 : map_int_int,X92 : $int] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X91),sK5) | ~eq_prefix1(int,t2tb2(X91),t2tb2(sK13),X92) | ~$less(sK5,X92) | ~partial_solution1(n1,X91) | eq_prefix1(int,t2tb2(X91),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X91))),n1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_317])])). 15.15/2.50 tff(f23064,plain,( 15.15/2.50 ( ! [X2 : map_int_int,X3 : $int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X2),sK5) | eq_prefix1(int,t2tb2(X2),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X2))),n1) | ~partial_solution1(n1,X2) | ~$less(sK5,X3) | ~eq_prefix1(int,t2tb2(X2),t2tb2(sK13),X3)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2126,f7197])). 15.15/2.50 tff(f23179,plain,( 15.15/2.50 spl30_521 | spl30_317 | ~spl30_522 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f23063,f768,f609,f489,f22756,f15665,f22752])). 15.15/2.50 tff(f22756,plain,( 15.15/2.50 spl30_522 <=> mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_522])])). 15.15/2.50 tff(f23063,plain,( 15.15/2.50 ( ! [X0 : map_int_int,X1 : $int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1) | ~partial_solution1(n1,X0) | mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8)) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5) | ~$less(sK5,X1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(sK13),X1)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2127,f7197])). 15.15/2.50 tff(f2127,plain,( 15.15/2.50 ( ! [X0 : map_int_int] : (~mem(int,get(int,int,t2tb2(X0),t2tb1(sK5)),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1) | ~partial_solution1(n1,X0) | mem(int,get(int,int,t2tb2(X0),t2tb1(sK5)),t2tb(sK8)) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5)) ) | ~spl30_1), 15.15/2.50 inference(resolution,[],[f2126,f416])). 15.15/2.50 tff(f416,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X3,diff(X0,X1,X2)) | mem(X0,X3,X2) | ~mem(X0,X3,X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f259])). 15.15/2.50 tff(f23037,plain,( 15.15/2.50 spl30_75 | spl30_321 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23036,f1345,f609,f15695,f1726])). 15.15/2.50 tff(f1726,plain,( 15.15/2.50 spl30_75 <=> ! [X3 : $int] : (~$less(sK5,X3) | ~partial_solution1(X3,sK13))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_75])])). 15.15/2.50 tff(f1345,plain,( 15.15/2.50 spl30_59 <=> t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_59])])). 15.15/2.50 tff(f23036,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (min_elt1(sK8) != X3 | n1 != X4 | $less(X3,X4) | ~$less(sK5,X5) | ~partial_solution1(X5,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f23035,f312])). 15.15/2.50 tff(f23035,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X3 | n1 != X4 | $less(X3,X4) | ~$less(sK5,X5) | ~partial_solution1(X5,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f1838,f611])). 15.15/2.50 tff(f1838,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X3 | n1 != X4 | $less(X3,X4) | ~$less(sK5,X5) | $less(sK5,0) | ~partial_solution1(X5,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f467,f1347])). 15.15/2.50 tff(f1347,plain,( 15.15/2.50 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~spl30_59), 15.15/2.50 inference(avatar_component_clause,[],[f1345])). 15.15/2.50 tff(f23034,plain,( 15.15/2.50 spl30_75 | spl30_539 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23033,f1345,f609,f22970,f1726])). 15.15/2.50 tff(f22970,plain,( 15.15/2.50 spl30_539 <=> ! [X162 : $int] : (~$less(X162,sK5) | $less(X162,0) | min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X162))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_539])])). 15.15/2.50 tff(f23033,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X2))) | $less(X2,0) | ~$less(X2,sK5) | ~$less(sK5,X3) | ~partial_solution1(X3,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f23032,f312])). 15.15/2.50 tff(f23032,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X2))) | $less(X2,0) | ~$less(X2,sK5) | ~$less(sK5,X3) | ~partial_solution1(X3,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f2041,f611])). 15.15/2.50 tff(f2041,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X2))) | $less(X2,0) | ~$less(X2,sK5) | ~$less(sK5,X3) | $less(sK5,0) | ~partial_solution1(X3,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f340,f1347])). 15.15/2.50 tff(f340,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) | $less(X5,0) | ~$less(X5,X4) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f226])). 15.15/2.50 tff(f23029,plain,( 15.15/2.50 spl30_76 | spl30_75 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f5111,f1345,f609,f1726,f1729])). 15.15/2.50 tff(f5111,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (~partial_solution1(X3,sK13) | min_elt1(sK8) != X2 | ~$less(X2,0) | ~$less(sK5,X3)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f5110,f310])). 15.15/2.50 tff(f310,plain,( 15.15/2.50 ( ! [X0 : map_int_int] : (tb2t2(t2tb2(X0)) = X0) )), 15.15/2.50 inference(cnf_transformation,[],[f98])). 15.15/2.50 tff(f98,plain,( 15.15/2.50 ! [X0 : map_int_int] : tb2t2(t2tb2(X0)) = X0), 15.15/2.50 inference(rectify,[],[f34])). 15.15/2.50 tff(f34,axiom,( 15.15/2.50 ! [X5 : map_int_int] : tb2t2(t2tb2(X5)) = X5), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL2)). 15.15/2.50 tff(f5110,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (min_elt1(sK8) != X2 | ~$less(X2,0) | ~$less(sK5,X3) | ~partial_solution1(X3,tb2t2(t2tb2(sK13)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f5109,f312])). 15.15/2.50 tff(f5109,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X2 | ~$less(X2,0) | ~$less(sK5,X3) | ~partial_solution1(X3,tb2t2(t2tb2(sK13)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f5096,f611])). 15.15/2.50 tff(f5096,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X2 | ~$less(X2,0) | ~$less(sK5,X3) | $less(sK5,0) | ~partial_solution1(X3,tb2t2(t2tb2(sK13)))) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f1709,f1347])). 15.15/2.50 tff(f23028,plain,( 15.15/2.50 spl30_76 | spl30_75 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23027,f1345,f609,f1726,f1729])). 15.15/2.50 tff(f23027,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (~$less(sK5,X3) | min_elt1(sK8) != X2 | ~$less(X2,0) | ~partial_solution1(X3,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f23026,f611])). 15.15/2.50 tff(f23026,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : ($less(sK5,0) | ~$less(sK5,X3) | min_elt1(sK8) != X2 | ~$less(X2,0) | ~partial_solution1(X3,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f5443,f312])). 15.15/2.50 tff(f5443,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (~$less(sK5,X3) | min_elt1(sK8) != X2 | ~$less(X2,0) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X3,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f5442,f312])). 15.15/2.50 tff(f5442,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (min_elt1(sK8) != X2 | ~$less(X2,0) | ~$less(tb2t1(t2tb1(sK5)),X3) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X3,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f5435,f312])). 15.15/2.50 tff(f5435,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X2 | ~$less(X2,0) | ~$less(tb2t1(t2tb1(sK5)),X3) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X3,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f1710,f1347])). 15.15/2.50 tff(f23025,plain,( 15.15/2.50 spl30_321 | spl30_75 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f6486,f1345,f609,f1726,f15695])). 15.15/2.50 tff(f6486,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (~partial_solution1(X5,sK13) | min_elt1(sK8) != X3 | n1 != X4 | $less(X3,X4) | ~$less(sK5,X5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f6485,f310])). 15.15/2.50 tff(f6485,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (min_elt1(sK8) != X3 | n1 != X4 | $less(X3,X4) | ~$less(sK5,X5) | ~partial_solution1(X5,tb2t2(t2tb2(sK13)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f6484,f312])). 15.15/2.50 tff(f6484,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X3 | n1 != X4 | $less(X3,X4) | ~$less(sK5,X5) | ~partial_solution1(X5,tb2t2(t2tb2(sK13)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f6469,f611])). 15.15/2.50 tff(f6469,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X3 | n1 != X4 | $less(X3,X4) | ~$less(sK5,X5) | $less(sK5,0) | ~partial_solution1(X5,tb2t2(t2tb2(sK13)))) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f1835,f1347])). 15.15/2.50 tff(f23024,plain,( 15.15/2.50 spl30_321 | spl30_75 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23023,f1345,f609,f1726,f15695])). 15.15/2.50 tff(f23023,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (~$less(sK5,X5) | min_elt1(sK8) != X3 | n1 != X4 | $less(X3,X4) | ~partial_solution1(X5,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f23022,f611])). 15.15/2.50 tff(f23022,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : ($less(sK5,0) | ~$less(sK5,X5) | min_elt1(sK8) != X3 | n1 != X4 | $less(X3,X4) | ~partial_solution1(X5,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f6515,f312])). 15.15/2.50 tff(f6515,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (~$less(sK5,X5) | min_elt1(sK8) != X3 | n1 != X4 | $less(X3,X4) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X5,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f6514,f312])). 15.15/2.50 tff(f6514,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (min_elt1(sK8) != X3 | n1 != X4 | $less(X3,X4) | ~$less(tb2t1(t2tb1(sK5)),X5) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X5,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f6503,f312])). 15.15/2.50 tff(f6503,plain,( 15.15/2.50 ( ! [X3 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X3 | n1 != X4 | $less(X3,X4) | ~$less(tb2t1(t2tb1(sK5)),X5) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X5,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f1836,f1347])). 15.15/2.50 tff(f23021,plain,( 15.15/2.50 spl30_75 | spl30_539 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23020,f1345,f609,f22970,f1726])). 15.15/2.50 tff(f23020,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : (min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK5) | ~$less(sK5,X1) | ~partial_solution1(X1,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f23019,f312])). 15.15/2.50 tff(f23019,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK5) | ~$less(sK5,X1) | ~partial_solution1(X1,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumpt% (18049)Refutation not found, SMT solver inside AVATAR returned Unknown% (18049)------------------------------ 15.15/2.50 % (18049)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 15.15/2.50 % (18049)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 15.15/2.50 % (18049)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 15.15/2.50 15.15/2.50 % (18049)Memory used [KB]: 13176 15.15/2.50 % (18049)Time elapsed: 2.088 s 15.15/2.50 % (18049)------------------------------ 15.15/2.50 % (18049)------------------------------ 15.15/2.50 ion_resolution,[],[f15521,f611])). 15.15/2.50 tff(f15521,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK5) | ~$less(sK5,X1) | $less(sK5,0) | ~partial_solution1(X1,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f340,f1347])). 15.15/2.50 tff(f23018,plain,( 15.15/2.50 spl30_75 | spl30_76 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23017,f1345,f609,f1729,f1726])). 15.15/2.50 tff(f23017,plain,( 15.15/2.50 ( ! [X4 : $int,X5 : $int] : (min_elt1(sK8) != X4 | ~$less(X4,0) | ~$less(sK5,X5) | ~partial_solution1(X5,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f23016,f312])). 15.15/2.50 tff(f23016,plain,( 15.15/2.50 ( ! [X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X4 | ~$less(X4,0) | ~$less(sK5,X5) | ~partial_solution1(X5,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f15523,f611])). 15.15/2.50 tff(f15523,plain,( 15.15/2.50 ( ! [X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X4 | ~$less(X4,0) | ~$less(sK5,X5) | $less(sK5,0) | ~partial_solution1(X5,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f464,f1347])). 15.15/2.50 tff(f23015,plain,( 15.15/2.50 spl30_75 | spl30_321 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23014,f1345,f609,f15695,f1726])). 15.15/2.50 tff(f23014,plain,( 15.15/2.50 ( ! [X16 : $int,X14 : $int,X15 : $int] : (min_elt1(sK8) != X14 | n1 != X15 | $less(X14,X15) | ~$less(sK5,X16) | ~partial_solution1(X16,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f23013,f312])). 15.15/2.50 tff(f23013,plain,( 15.15/2.50 ( ! [X16 : $int,X14 : $int,X15 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X14 | n1 != X15 | $less(X14,X15) | ~$less(sK5,X16) | ~partial_solution1(X16,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f15526,f611])). 15.15/2.50 tff(f15526,plain,( 15.15/2.50 ( ! [X16 : $int,X14 : $int,X15 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X14 | n1 != X15 | $less(X14,X15) | ~$less(sK5,X16) | $less(sK5,0) | ~partial_solution1(X16,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f467,f1347])). 15.15/2.50 tff(f23010,plain,( 15.15/2.50 spl30_75 | spl30_546 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23006,f1345,f23008,f1726])). 15.15/2.50 tff(f23008,plain,( 15.15/2.50 spl30_546 <=> ! [X41 : uni] : (min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),X41)) | ~$less(tb2t1(X41),sK5) | $less(tb2t1(X41),0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_546])])). 15.15/2.50 tff(f23006,plain,( 15.15/2.50 ( ! [X41 : uni,X42 : $int] : (min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),X41)) | $less(tb2t1(X41),0) | ~$less(tb2t1(X41),sK5) | ~$less(sK5,X42) | ~partial_solution1(X42,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15533,f312])). 15.15/2.50 tff(f15533,plain,( 15.15/2.50 ( ! [X41 : uni,X42 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,t2tb2(sK13),X41)) | $less(tb2t1(X41),0) | ~$less(tb2t1(X41),sK5) | ~$less(sK5,X42) | ~partial_solution1(X42,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f9649,f1347])). 15.15/2.50 tff(f9649,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),X0)) | $less(tb2t1(X0),0) | ~$less(tb2t1(X0),X2) | ~$less(X2,X3) | ~partial_solution1(X3,X1)) )), 15.15/2.50 inference(subsumption_resolution,[],[f2045,f2595])). 15.15/2.50 tff(f2045,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),X0)) | $less(tb2t1(X0),0) | ~$less(tb2t1(X0),X2) | ~$less(X2,X3) | $less(X2,0) | ~partial_solution1(X3,X1)) )), 15.15/2.50 inference(superposition,[],[f340,f315])). 15.15/2.50 tff(f23005,plain,( 15.15/2.50 spl30_75 | spl30_545 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f23001,f1345,f23003,f1726])). 15.15/2.50 tff(f23003,plain,( 15.15/2.50 spl30_545 <=> ! [X45 : uni,X48 : $int,X46 : $int] : (min_elt1(sK8) != tb2t1(get(int,int,X45,t2tb1(X46))) | ~eq_prefix1(int,t2tb2(sK13),X45,X48) | ~$less(X46,X48) | ~$less(X46,sK5) | $less(X46,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_545])])). 15.15/2.50 tff(f23001,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : $int,X45 : uni] : (min_elt1(sK8) != tb2t1(get(int,int,X45,t2tb1(X46))) | $less(X46,0) | ~$less(X46,sK5) | ~$less(sK5,X47) | ~partial_solution1(X47,sK13) | ~$less(X46,X48) | ~eq_prefix1(int,t2tb2(sK13),X45,X48)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15535,f312])). 15.15/2.50 tff(f15535,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : $int,X45 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,X45,t2tb1(X46))) | $less(X46,0) | ~$less(X46,sK5) | ~$less(sK5,X47) | ~partial_solution1(X47,sK13) | ~$less(X46,X48) | ~eq_prefix1(int,t2tb2(sK13),X45,X48)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f11632,f1347])). 15.15/2.50 tff(f11632,plain,( 15.15/2.50 ( ! [X10 : map_int_int,X11 : $int,X14 : $int,X15 : $int,X12 : uni,X13 : $int] : (tb2t1(get(int,int,t2tb2(X10),t2tb1(X13))) != tb2t1(get(int,int,X12,t2tb1(X11))) | $less(X11,0) | ~$less(X11,X13) | ~$less(X13,X14) | ~partial_solution1(X14,X10) | ~$less(X11,X15) | ~eq_prefix1(int,t2tb2(X10),X12,X15)) )), 15.15/2.50 inference(subsumption_resolution,[],[f2053,f2595])). 15.15/2.50 tff(f2053,plain,( 15.15/2.50 ( ! [X10 : map_int_int,X11 : $int,X14 : $int,X15 : $int,X12 : uni,X13 : $int] : (tb2t1(get(int,int,t2tb2(X10),t2tb1(X13))) != tb2t1(get(int,int,X12,t2tb1(X11))) | $less(X11,0) | ~$less(X11,X13) | ~$less(X13,X14) | $less(X13,0) | ~partial_solution1(X14,X10) | ~$less(X11,X15) | ~eq_prefix1(int,t2tb2(X10),X12,X15)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f2049])). 15.15/2.50 tff(f2049,plain,( 15.15/2.50 ( ! [X10 : map_int_int,X11 : $int,X14 : $int,X15 : $int,X12 : uni,X13 : $int] : (tb2t1(get(int,int,t2tb2(X10),t2tb1(X13))) != tb2t1(get(int,int,X12,t2tb1(X11))) | $less(X11,0) | ~$less(X11,X13) | ~$less(X13,X14) | $less(X13,0) | ~partial_solution1(X14,X10) | ~$less(X11,X15) | $less(X11,0) | ~eq_prefix1(int,t2tb2(X10),X12,X15)) )), 15.15/2.50 inference(superposition,[],[f340,f409])). 15.15/2.50 tff(f23000,plain,( 15.15/2.50 spl30_75 | spl30_544 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f22996,f1345,f22998,f1726])). 15.15/2.50 tff(f22998,plain,( 15.15/2.50 spl30_544 <=> ! [X50 : $int,X52 : $int,X49 : uni] : (min_elt1(sK8) != tb2t1(get(int,int,X49,t2tb1(X50))) | ~eq_prefix1(int,X49,t2tb2(sK13),X52) | ~$less(X50,X52) | ~$less(X50,sK5) | $less(X50,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_544])])). 15.15/2.50 tff(f22996,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : uni,X52 : $int] : (min_elt1(sK8) != tb2t1(get(int,int,X49,t2tb1(X50))) | $less(X50,0) | ~$less(X50,sK5) | ~$less(sK5,X51) | ~partial_solution1(X51,sK13) | ~$less(X50,X52) | ~eq_prefix1(int,X49,t2tb2(sK13),X52)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15536,f312])). 15.15/2.50 tff(f15536,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : uni,X52 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,X49,t2tb1(X50))) | $less(X50,0) | ~$less(X50,sK5) | ~$less(sK5,X51) | ~partial_solution1(X51,sK13) | ~$less(X50,X52) | ~eq_prefix1(int,X49,t2tb2(sK13),X52)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f11734,f1347])). 15.15/2.50 tff(f11734,plain,( 15.15/2.50 ( ! [X8 : $int,X6 : uni,X9 : $int,X7 : $int,X4 : map_int_int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X7))) != tb2t1(get(int,int,X6,t2tb1(X5))) | $less(X5,0) | ~$less(X5,X7) | ~$less(X7,X8) | ~partial_solution1(X8,X4) | ~$less(X5,X9) | ~eq_prefix1(int,X6,t2tb2(X4),X9)) )), 15.15/2.50 inference(subsumption_resolution,[],[f2054,f2595])). 15.15/2.50 tff(f2054,plain,( 15.15/2.50 ( ! [X8 : $int,X6 : uni,X9 : $int,X7 : $int,X4 : map_int_int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X7))) != tb2t1(get(int,int,X6,t2tb1(X5))) | $less(X5,0) | ~$less(X5,X7) | ~$less(X7,X8) | $less(X7,0) | ~partial_solution1(X8,X4) | ~$less(X5,X9) | ~eq_prefix1(int,X6,t2tb2(X4),X9)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f2048])). 15.15/2.50 tff(f2048,plain,( 15.15/2.50 ( ! [X8 : $int,X6 : uni,X9 : $int,X7 : $int,X4 : map_int_int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X7))) != tb2t1(get(int,int,X6,t2tb1(X5))) | $less(X5,0) | ~$less(X5,X7) | ~$less(X7,X8) | $less(X7,0) | ~partial_solution1(X8,X4) | ~$less(X5,X9) | $less(X5,0) | ~eq_prefix1(int,X6,t2tb2(X4),X9)) )), 15.15/2.50 inference(superposition,[],[f340,f409])). 15.15/2.50 tff(f22995,plain,( 15.15/2.50 spl30_75 | spl30_543 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f22991,f1345,f22993,f1726])). 15.15/2.50 tff(f22993,plain,( 15.15/2.50 spl30_543 <=> ! [X70 : $int,X72 : $int,X69 : $int,X67 : $int,X68 : uni] : (min_elt1(sK8) != X67 | ~eq_prefix1(int,t2tb2(sK13),X68,X72) | ~$less(X69,X72) | ~$less(X69,sK5) | $less(X69,0) | $sum(X69,$uminus(sK5)) != $sum(X67,$uminus(X70)) | tb2t1(get(int,int,X68,t2tb1(X69))) != X70)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_543])])). 15.15/2.50 tff(f22991,plain,( 15.15/2.50 ( ! [X72 : $int,X70 : $int,X71 : $int,X68 : uni,X69 : $int,X67 : $int] : (min_elt1(sK8) != X67 | tb2t1(get(int,int,X68,t2tb1(X69))) != X70 | $sum(X69,$uminus(sK5)) != $sum(X67,$uminus(X70)) | $less(X69,0) | ~$less(X69,sK5) | ~$less(sK5,X71) | ~partial_solution1(X71,sK13) | ~$less(X69,X72) | ~eq_prefix1(int,t2tb2(sK13),X68,X72)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15541,f312])). 15.15/2.50 tff(f15541,plain,( 15.15/2.50 ( ! [X72 : $int,X70 : $int,X71 : $int,X68 : uni,X69 : $int,X67 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X67 | tb2t1(get(int,int,X68,t2tb1(X69))) != X70 | $sum(X69,$uminus(sK5)) != $sum(X67,$uminus(X70)) | $less(X69,0) | ~$less(X69,sK5) | ~$less(sK5,X71) | ~partial_solution1(X71,sK13) | ~$less(X69,X72) | ~eq_prefix1(int,t2tb2(sK13),X68,X72)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f14321,f1347])). 15.15/2.50 tff(f14321,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : uni,X19 : $int,X16 : map_int_int,X17 : $int,X22 : $int,X23 : $int,X20 : $int] : (tb2t1(get(int,int,t2tb2(X16),t2tb1(X20))) != X21 | tb2t1(get(int,int,X18,t2tb1(X17))) != X19 | $sum(X17,$uminus(X20)) != $sum(X21,$uminus(X19)) | $less(X17,0) | ~$less(X17,X20) | ~$less(X20,X22) | ~partial_solution1(X22,X16) | ~$less(X17,X23) | ~eq_prefix1(int,t2tb2(X16),X18,X23)) )), 15.15/2.50 inference(subsumption_resolution,[],[f2233,f2595])). 15.15/2.50 tff(f2233,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : uni,X19 : $int,X16 : map_int_int,X17 : $int,X22 : $int,X23 : $int,X20 : $int] : (tb2t1(get(int,int,X18,t2tb1(X17))) != X19 | tb2t1(get(int,int,t2tb2(X16),t2tb1(X20))) != X21 | $sum(X17,$uminus(X20)) != $sum(X21,$uminus(X19)) | $less(X17,0) | ~$less(X17,X20) | ~$less(X20,X22) | $less(X20,0) | ~partial_solution1(X22,X16) | ~$less(X17,X23) | ~eq_prefix1(int,t2tb2(X16),X18,X23)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f2231])). 15.15/2.50 tff(f2231,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : uni,X19 : $int,X16 : map_int_int,X17 : $int,X22 : $int,X23 : $int,X20 : $int] : (tb2t1(get(int,int,X18,t2tb1(X17))) != X19 | tb2t1(get(int,int,t2tb2(X16),t2tb1(X20))) != X21 | $sum(X17,$uminus(X20)) != $sum(X21,$uminus(X19)) | $less(X17,0) | ~$less(X17,X20) | ~$less(X20,X22) | $less(X20,0) | ~partial_solution1(X22,X16) | ~$less(X17,X23) | $less(X17,0) | ~eq_prefix1(int,t2tb2(X16),X18,X23)) )), 15.15/2.50 inference(superposition,[],[f465,f409])). 15.15/2.50 tff(f465,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) != X7 | tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X6 | $sum(X5,$uminus(X4)) != $sum(X6,$uminus(X7)) | $less(X5,0) | ~$less(X5,X4) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(theory_flattening,[],[f342])). 15.15/2.50 tff(f342,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X4 : $int,X5 : $int] : ($sum(X5,$uminus(X4)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) | $less(X5,0) | ~$less(X5,X4) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f226])). 15.15/2.50 tff(f22990,plain,( 15.15/2.50 spl30_75 | spl30_542 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f22986,f1345,f22988,f1726])). 15.15/2.50 tff(f22988,plain,( 15.15/2.50 spl30_542 <=> ! [X76 : $int,X74 : uni,X75 : $int,X78 : $int,X73 : $int] : (min_elt1(sK8) != X73 | ~eq_prefix1(int,X74,t2tb2(sK13),X78) | ~$less(X75,X78) | ~$less(X75,sK5) | $less(X75,0) | $sum(X75,$uminus(sK5)) != $sum(X73,$uminus(X76)) | tb2t1(get(int,int,X74,t2tb1(X75))) != X76)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_542])])). 15.15/2.50 tff(f22986,plain,( 15.15/2.50 ( ! [X73 : $int,X78 : $int,X76 : $int,X77 : $int,X74 : uni,X75 : $int] : (min_elt1(sK8) != X73 | tb2t1(get(int,int,X74,t2tb1(X75))) != X76 | $sum(X75,$uminus(sK5)) != $sum(X73,$uminus(X76)) | $less(X75,0) | ~$less(X75,sK5) | ~$less(sK5,X77) | ~partial_solution1(X77,sK13) | ~$less(X75,X78) | ~eq_prefix1(int,X74,t2tb2(sK13),X78)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15542,f312])). 15.15/2.50 tff(f15542,plain,( 15.15/2.50 ( ! [X73 : $int,X78 : $int,X76 : $int,X77 : $int,X74 : uni,X75 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X73 | tb2t1(get(int,int,X74,t2tb1(X75))) != X76 | $sum(X75,$uminus(sK5)) != $sum(X73,$uminus(X76)) | $less(X75,0) | ~$less(X75,sK5) | ~$less(sK5,X77) | ~partial_solution1(X77,sK13) | ~$less(X75,X78) | ~eq_prefix1(int,X74,t2tb2(sK13),X78)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f14435,f1347])). 15.15/2.50 tff(f14435,plain,( 15.15/2.50 ( ! [X10 : uni,X11 : $int,X8 : map_int_int,X9 : $int,X14 : $int,X15 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,t2tb2(X8),t2tb1(X12))) != X13 | tb2t1(get(int,int,X10,t2tb1(X9))) != X11 | $sum(X9,$uminus(X12)) != $sum(X13,$uminus(X11)) | $less(X9,0) | ~$less(X9,X12) | ~$less(X12,X14) | ~partial_solution1(X14,X8) | ~$less(X9,X15) | ~eq_prefix1(int,X10,t2tb2(X8),X15)) )), 15.15/2.50 inference(subsumption_resolution,[],[f2234,f2595])). 15.15/2.50 tff(f2234,plain,( 15.15/2.50 ( ! [X10 : uni,X11 : $int,X8 : map_int_int,X9 : $int,X14 : $int,X15 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,X10,t2tb1(X9))) != X11 | tb2t1(get(int,int,t2tb2(X8),t2tb1(X12))) != X13 | $sum(X9,$uminus(X12)) != $sum(X13,$uminus(X11)) | $less(X9,0) | ~$less(X9,X12) | ~$less(X12,X14) | $less(X12,0) | ~partial_solution1(X14,X8) | ~$less(X9,X15) | ~eq_prefix1(int,X10,t2tb2(X8),X15)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f2230])). 15.15/2.50 tff(f2230,plain,( 15.15/2.50 ( ! [X10 : uni,X11 : $int,X8 : map_int_int,X9 : $int,X14 : $int,X15 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,X10,t2tb1(X9))) != X11 | tb2t1(get(int,int,t2tb2(X8),t2tb1(X12))) != X13 | $sum(X9,$uminus(X12)) != $sum(X13,$uminus(X11)) | $less(X9,0) | ~$less(X9,X12) | ~$less(X12,X14) | $less(X12,0) | ~partial_solution1(X14,X8) | ~$less(X9,X15) | $less(X9,0) | ~eq_prefix1(int,X10,t2tb2(X8),X15)) )), 15.15/2.50 inference(superposition,[],[f465,f409])). 15.15/2.50 tff(f22985,plain,( 15.15/2.50 spl30_75 | spl30_541 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f22981,f1345,f22983,f1726])). 15.15/2.50 tff(f22983,plain,( 15.15/2.50 spl30_541 <=> ! [X81 : $int,X84 : $int,X80 : uni,X82 : $int,X79 : $int] : (min_elt1(sK8) != X79 | ~eq_prefix1(int,t2tb2(sK13),X80,X84) | ~$less(X81,X84) | ~$less(X81,sK5) | $less(X81,0) | $sum(X79,$uminus(X82)) != $sum(sK5,$uminus(X81)) | tb2t1(get(int,int,X80,t2tb1(X81))) != X82)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_541])])). 15.15/2.50 tff(f22981,plain,( 15.15/2.50 ( ! [X82 : $int,X83 : $int,X80 : uni,X81 : $int,X79 : $int,X84 : $int] : (min_elt1(sK8) != X79 | tb2t1(get(int,int,X80,t2tb1(X81))) != X82 | $sum(X79,$uminus(X82)) != $sum(sK5,$uminus(X81)) | $less(X81,0) | ~$less(X81,sK5) | ~$less(sK5,X83) | ~partial_solution1(X83,sK13) | ~$less(X81,X84) | ~eq_prefix1(int,t2tb2(sK13),X80,X84)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15543,f312])). 15.15/2.50 tff(f15543,plain,( 15.15/2.50 ( ! [X82 : $int,X83 : $int,X80 : uni,X81 : $int,X79 : $int,X84 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X79 | tb2t1(get(int,int,X80,t2tb1(X81))) != X82 | $sum(X79,$uminus(X82)) != $sum(sK5,$uminus(X81)) | $less(X81,0) | ~$less(X81,sK5) | ~$less(sK5,X83) | ~partial_solution1(X83,sK13) | ~$less(X81,X84) | ~eq_prefix1(int,t2tb2(sK13),X80,X84)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f14490,f1347])). 15.15/2.50 tff(f14490,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : uni,X19 : $int,X16 : map_int_int,X17 : $int,X22 : $int,X23 : $int,X20 : $int] : (tb2t1(get(int,int,t2tb2(X16),t2tb1(X20))) != X21 | tb2t1(get(int,int,X18,t2tb1(X17))) != X19 | $sum(X21,$uminus(X19)) != $sum(X20,$uminus(X17)) | $less(X17,0) | ~$less(X17,X20) | ~$less(X20,X22) | ~partial_solution1(X22,X16) | ~$less(X17,X23) | ~eq_prefix1(int,t2tb2(X16),X18,X23)) )), 15.15/2.50 inference(subsumption_resolution,[],[f2252,f2595])). 15.15/2.50 tff(f2252,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : uni,X19 : $int,X16 : map_int_int,X17 : $int,X22 : $int,X23 : $int,X20 : $int] : (tb2t1(get(int,int,X18,t2tb1(X17))) != X19 | tb2t1(get(int,int,t2tb2(X16),t2tb1(X20))) != X21 | $sum(X21,$uminus(X19)) != $sum(X20,$uminus(X17)) | $less(X17,0) | ~$less(X17,X20) | ~$less(X20,X22) | $less(X20,0) | ~partial_solution1(X22,X16) | ~$less(X17,X23) | ~eq_prefix1(int,t2tb2(X16),X18,X23)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f2250])). 15.15/2.50 tff(f2250,plain,( 15.15/2.50 ( ! [X21 : $int,X18 : uni,X19 : $int,X16 : map_int_int,X17 : $int,X22 : $int,X23 : $int,X20 : $int] : (tb2t1(get(int,int,X18,t2tb1(X17))) != X19 | tb2t1(get(int,int,t2tb2(X16),t2tb1(X20))) != X21 | $sum(X21,$uminus(X19)) != $sum(X20,$uminus(X17)) | $less(X17,0) | ~$less(X17,X20) | ~$less(X20,X22) | $less(X20,0) | ~partial_solution1(X22,X16) | ~$less(X17,X23) | $less(X17,0) | ~eq_prefix1(int,t2tb2(X16),X18,X23)) )), 15.15/2.50 inference(superposition,[],[f466,f409])). 15.15/2.50 tff(f466,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) != X7 | tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X6 | $sum(X4,$uminus(X5)) != $sum(X6,$uminus(X7)) | $less(X5,0) | ~$less(X5,X4) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(theory_flattening,[],[f341])). 15.15/2.50 tff(f341,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : map_int_int,X4 : $int,X5 : $int] : ($sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X4,$uminus(X5)) | $less(X5,0) | ~$less(X5,X4) | ~$less(X4,X0) | $less(X4,0) | ~partial_solution1(X0,X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f226])). 15.15/2.50 tff(f22980,plain,( 15.15/2.50 spl30_75 | spl30_540 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f22976,f1345,f22978,f1726])). 15.15/2.50 tff(f22978,plain,( 15.15/2.50 spl30_540 <=> ! [X88 : $int,X85 : $int,X87 : $int,X90 : $int,X86 : uni] : (min_elt1(sK8) != X85 | ~eq_prefix1(int,X86,t2tb2(sK13),X90) | ~$less(X87,X90) | ~$less(X87,sK5) | $less(X87,0) | $sum(X85,$uminus(X88)) != $sum(sK5,$uminus(X87)) | tb2t1(get(int,int,X86,t2tb1(X87))) != X88)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_540])])). 15.15/2.50 tff(f22976,plain,( 15.15/2.50 ( ! [X90 : $int,X88 : $int,X86 : uni,X89 : $int,X87 : $int,X85 : $int] : (min_elt1(sK8) != X85 | tb2t1(get(int,int,X86,t2tb1(X87))) != X88 | $sum(X85,$uminus(X88)) != $sum(sK5,$uminus(X87)) | $less(X87,0) | ~$less(X87,sK5) | ~$less(sK5,X89) | ~partial_solution1(X89,sK13) | ~$less(X87,X90) | ~eq_prefix1(int,X86,t2tb2(sK13),X90)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15544,f312])). 15.15/2.50 tff(f15544,plain,( 15.15/2.50 ( ! [X90 : $int,X88 : $int,X86 : uni,X89 : $int,X87 : $int,X85 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X85 | tb2t1(get(int,int,X86,t2tb1(X87))) != X88 | $sum(X85,$uminus(X88)) != $sum(sK5,$uminus(X87)) | $less(X87,0) | ~$less(X87,sK5) | ~$less(sK5,X89) | ~partial_solution1(X89,sK13) | ~$less(X87,X90) | ~eq_prefix1(int,X86,t2tb2(sK13),X90)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f14541,f1347])). 15.15/2.50 tff(f14541,plain,( 15.15/2.50 ( ! [X10 : uni,X11 : $int,X8 : map_int_int,X9 : $int,X14 : $int,X15 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,t2tb2(X8),t2tb1(X12))) != X13 | tb2t1(get(int,int,X10,t2tb1(X9))) != X11 | $sum(X13,$uminus(X11)) != $sum(X12,$uminus(X9)) | $less(X9,0) | ~$less(X9,X12) | ~$less(X12,X14) | ~partial_solution1(X14,X8) | ~$less(X9,X15) | ~eq_prefix1(int,X10,t2tb2(X8),X15)) )), 15.15/2.50 inference(subsumption_resolution,[],[f2253,f2595])). 15.15/2.50 tff(f2253,plain,( 15.15/2.50 ( ! [X10 : uni,X11 : $int,X8 : map_int_int,X9 : $int,X14 : $int,X15 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,X10,t2tb1(X9))) != X11 | tb2t1(get(int,int,t2tb2(X8),t2tb1(X12))) != X13 | $sum(X13,$uminus(X11)) != $sum(X12,$uminus(X9)) | $less(X9,0) | ~$less(X9,X12) | ~$less(X12,X14) | $less(X12,0) | ~partial_solution1(X14,X8) | ~$less(X9,X15) | ~eq_prefix1(int,X10,t2tb2(X8),X15)) )), 15.15/2.50 inference(duplicate_literal_removal,[],[f2249])). 15.15/2.50 tff(f2249,plain,( 15.15/2.50 ( ! [X10 : uni,X11 : $int,X8 : map_int_int,X9 : $int,X14 : $int,X15 : $int,X12 : $int,X13 : $int] : (tb2t1(get(int,int,X10,t2tb1(X9))) != X11 | tb2t1(get(int,int,t2tb2(X8),t2tb1(X12))) != X13 | $sum(X13,$uminus(X11)) != $sum(X12,$uminus(X9)) | $less(X9,0) | ~$less(X9,X12) | ~$less(X12,X14) | $less(X12,0) | ~partial_solution1(X14,X8) | ~$less(X9,X15) | $less(X9,0) | ~eq_prefix1(int,X10,t2tb2(X8),X15)) )), 15.15/2.50 inference(superposition,[],[f466,f409])). 15.15/2.50 tff(f22975,plain,( 15.15/2.50 spl30_76 | spl30_75 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f15676,f1345,f609,f1726,f1729])). 15.15/2.50 tff(f15676,plain,( 15.15/2.50 ( ! [X96 : $int,X95 : $int] : (~partial_solution1(X96,sK13) | min_elt1(sK8) != X95 | ~$less(X95,0) | ~$less(sK5,X96)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f15675,f310])). 15.15/2.50 tff(f15675,plain,( 15.15/2.50 ( ! [X96 : $int,X95 : $int] : (min_elt1(sK8) != X95 | ~$less(X95,0) | ~$less(sK5,X96) | ~partial_solution1(X96,tb2t2(t2tb2(sK13)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f15674,f312])). 15.15/2.50 tff(f15674,plain,( 15.15/2.50 ( ! [X96 : $int,X95 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X95 | ~$less(X95,0) | ~$less(sK5,X96) | ~partial_solution1(X96,tb2t2(t2tb2(sK13)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f15548,f611])). 15.15/2.50 tff(f15548,plain,( 15.15/2.50 ( ! [X96 : $int,X95 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X95 | ~$less(X95,0) | ~$less(sK5,X96) | $less(sK5,0) | ~partial_solution1(X96,tb2t2(t2tb2(sK13)))) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f1709,f1347])). 15.15/2.50 tff(f22974,plain,( 15.15/2.50 spl30_321 | spl30_75 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f15691,f1345,f609,f1726,f15695])). 15.15/2.50 tff(f15691,plain,( 15.15/2.50 ( ! [X106 : $int,X107 : $int,X105 : $int] : (~partial_solution1(X107,sK13) | min_elt1(sK8) != X105 | n1 != X106 | $less(X105,X106) | ~$less(sK5,X107)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f15690,f310])). 15.15/2.50 tff(f15690,plain,( 15.15/2.50 ( ! [X106 : $int,X107 : $int,X105 : $int] : (min_elt1(sK8) != X105 | n1 != X106 | $less(X105,X106) | ~$less(sK5,X107) | ~partial_solution1(X107,tb2t2(t2tb2(sK13)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(forward_demodulation,[],[f15689,f312])). 15.15/2.50 tff(f15689,plain,( 15.15/2.50 ( ! [X106 : $int,X107 : $int,X105 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X105 | n1 != X106 | $less(X105,X106) | ~$less(sK5,X107) | ~partial_solution1(X107,tb2t2(t2tb2(sK13)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f15551,f611])). 15.15/2.50 tff(f15551,plain,( 15.15/2.50 ( ! [X106 : $int,X107 : $int,X105 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X105 | n1 != X106 | $less(X105,X106) | ~$less(sK5,X107) | $less(sK5,0) | ~partial_solution1(X107,tb2t2(t2tb2(sK13)))) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f1835,f1347])). 15.15/2.50 tff(f22973,plain,( 15.15/2.50 spl30_539 | spl30_75 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f15723,f1345,f1726,f22970])). 15.15/2.50 tff(f15723,plain,( 15.15/2.50 ( ! [X138 : $int,X139 : $int] : (~partial_solution1(X139,sK13) | min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X138))) | $less(X138,0) | ~$less(X138,sK5) | ~$less(sK5,X139)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15722,f310])). 15.15/2.50 tff(f15722,plain,( 15.15/2.50 ( ! [X138 : $int,X139 : $int] : (min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X138))) | $less(X138,0) | ~$less(X138,sK5) | ~$less(sK5,X139) | ~partial_solution1(X139,tb2t2(t2tb2(sK13)))) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15558,f312])). 15.15/2.50 tff(f15558,plain,( 15.15/2.50 ( ! [X138 : $int,X139 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X138))) | $less(X138,0) | ~$less(X138,sK5) | ~$less(sK5,X139) | ~partial_solution1(X139,tb2t2(t2tb2(sK13)))) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f7834,f1347])). 15.15/2.50 tff(f7834,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int] : (tb2t1(get(int,int,X0,t2tb1(X1))) != tb2t1(get(int,int,X0,t2tb1(X2))) | $less(X2,0) | ~$less(X2,X1) | ~$less(X1,X3) | ~partial_solution1(X3,tb2t2(X0))) )), 15.15/2.50 inference(subsumption_resolution,[],[f2044,f2595])). 15.15/2.50 tff(f2044,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int] : (tb2t1(get(int,int,X0,t2tb1(X1))) != tb2t1(get(int,int,X0,t2tb1(X2))) | $less(X2,0) | ~$less(X2,X1) | ~$less(X1,X3) | $less(X1,0) | ~partial_solution1(X3,tb2t2(X0))) )), 15.15/2.50 inference(superposition,[],[f340,f313])). 15.15/2.50 tff(f22972,plain,( 15.15/2.50 spl30_539 | spl30_75 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f15744,f1345,f1726,f22970])). 15.15/2.50 tff(f15744,plain,( 15.15/2.50 ( ! [X162 : $int,X163 : $int] : (~$less(sK5,X163) | ~$less(X162,sK5) | min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X162))) | $less(X162,0) | ~partial_solution1(X163,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15743,f312])). 15.15/2.50 tff(f15743,plain,( 15.15/2.50 ( ! [X162 : $int,X163 : $int] : (~$less(X162,sK5) | min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X162))) | $less(X162,0) | ~$less(tb2t1(t2tb1(sK5)),X163) | ~partial_solution1(X163,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15742,f312])). 15.15/2.50 tff(f15742,plain,( 15.15/2.50 ( ! [X162 : $int,X163 : $int] : (min_elt1(sK8) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X162))) | $less(X162,0) | ~$less(X162,tb2t1(t2tb1(sK5))) | ~$less(tb2t1(t2tb1(sK5)),X163) | ~partial_solution1(X163,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15565,f312])). 15.15/2.50 tff(f15565,plain,( 15.15/2.50 ( ! [X162 : $int,X163 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X162))) | $less(X162,0) | ~$less(X162,tb2t1(t2tb1(sK5))) | ~$less(tb2t1(t2tb1(sK5)),X163) | ~partial_solution1(X163,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f10305,f1347])). 15.15/2.50 tff(f10305,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),X0)) | $less(X2,0) | ~$less(X2,tb2t1(X0)) | ~$less(tb2t1(X0),X3) | ~partial_solution1(X3,X1)) )), 15.15/2.50 inference(subsumption_resolution,[],[f2039,f2595])). 15.15/2.50 tff(f2039,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),X0)) | $less(X2,0) | ~$less(X2,tb2t1(X0)) | ~$less(tb2t1(X0),X3) | $less(tb2t1(X0),0) | ~partial_solution1(X3,X1)) )), 15.15/2.50 inference(superposition,[],[f340,f315])). 15.15/2.50 tff(f22968,plain,( 15.15/2.50 spl30_321 | spl30_75 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f22967,f1345,f609,f1726,f15695])). 15.15/2.50 tff(f22967,plain,( 15.15/2.50 ( ! [X168 : $int,X166 : $int,X167 : $int] : (~$less(sK5,X168) | min_elt1(sK8) != X166 | n1 != X167 | $less(X166,X167) | ~partial_solution1(X168,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f22966,f611])). 15.15/2.50 tff(f22966,plain,( 15.15/2.50 ( ! [X168 : $int,X166 : $int,X167 : $int] : ($less(sK5,0) | ~$less(sK5,X168) | min_elt1(sK8) != X166 | n1 != X167 | $less(X166,X167) | ~partial_solution1(X168,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15750,f312])). 15.15/2.50 tff(f15750,plain,( 15.15/2.50 ( ! [X168 : $int,X166 : $int,X167 : $int] : (~$less(sK5,X168) | min_elt1(sK8) != X166 | n1 != X167 | $less(X166,X167) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X168,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15749,f312])). 15.15/2.50 tff(f15749,plain,( 15.15/2.50 ( ! [X168 : $int,X166 : $int,X167 : $int] : (min_elt1(sK8) != X166 | n1 != X167 | $less(X166,X167) | ~$less(tb2t1(t2tb1(sK5)),X168) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X168,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15567,f312])). 15.15/2.50 tff(f15567,plain,( 15.15/2.50 ( ! [X168 : $int,X166 : $int,X167 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X166 | n1 != X167 | $less(X166,X167) | ~$less(tb2t1(t2tb1(sK5)),X168) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X168,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f1836,f1347])). 15.15/2.50 tff(f22965,plain,( 15.15/2.50 spl30_76 | spl30_75 | spl30_21 | ~spl30_59), 15.15/2.50 inference(avatar_split_clause,[],[f22964,f1345,f609,f1726,f1729])). 15.15/2.50 tff(f22964,plain,( 15.15/2.50 ( ! [X170 : $int,X169 : $int] : (~$less(sK5,X170) | min_elt1(sK8) != X169 | ~$less(X169,0) | ~partial_solution1(X170,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.50 inference(subsumption_resolution,[],[f22963,f611])). 15.15/2.50 tff(f22963,plain,( 15.15/2.50 ( ! [X170 : $int,X169 : $int] : ($less(sK5,0) | ~$less(sK5,X170) | min_elt1(sK8) != X169 | ~$less(X169,0) | ~partial_solution1(X170,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15752,f312])). 15.15/2.50 tff(f15752,plain,( 15.15/2.50 ( ! [X170 : $int,X169 : $int] : (~$less(sK5,X170) | min_elt1(sK8) != X169 | ~$less(X169,0) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X170,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15751,f312])). 15.15/2.50 tff(f15751,plain,( 15.15/2.50 ( ! [X170 : $int,X169 : $int] : (min_elt1(sK8) != X169 | ~$less(X169,0) | ~$less(tb2t1(t2tb1(sK5)),X170) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X170,sK13)) ) | ~spl30_59), 15.15/2.50 inference(forward_demodulation,[],[f15568,f312])). 15.15/2.50 tff(f15568,plain,( 15.15/2.50 ( ! [X170 : $int,X169 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X169 | ~$less(X169,0) | ~$less(tb2t1(t2tb1(sK5)),X170) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X170,sK13)) ) | ~spl30_59), 15.15/2.50 inference(superposition,[],[f1710,f1347])). 15.15/2.50 tff(f22936,plain,( 15.15/2.50 spl30_76 | spl30_319 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22935,f768,f609,f15680,f1729])). 15.15/2.50 tff(f15680,plain,( 15.15/2.50 spl30_319 <=> ! [X98 : $int,X100 : $int,X99 : map_int_int] : (~$less(sK5,X98) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X99),X100) | ~$less(sK5,X100) | ~partial_solution1(X98,X99))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_319])])). 15.15/2.50 tff(f22935,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : $int,X288 : map_int_int] : (~$less(sK5,X290) | min_elt1(sK8) != X289 | ~$less(X289,0) | ~partial_solution1(X290,X288) | ~$less(sK5,X291) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X288),X291)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22934,f611])). 15.15/2.50 tff(f22934,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : $int,X288 : map_int_int] : ($less(sK5,0) | ~$less(sK5,X290) | min_elt1(sK8) != X289 | ~$less(X289,0) | ~partial_solution1(X290,X288) | ~$less(sK5,X291) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X288),X291)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22933,f312])). 15.15/2.50 tff(f22933,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : $int,X288 : map_int_int] : (~$less(sK5,X290) | min_elt1(sK8) != X289 | ~$less(X289,0) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X290,X288) | ~$less(sK5,X291) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X288),X291)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22932,f312])). 15.15/2.50 tff(f22932,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : $int,X288 : map_int_int] : (min_elt1(sK8) != X289 | ~$less(X289,0) | ~$less(tb2t1(t2tb1(sK5)),X290) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X290,X288) | ~$less(sK5,X291) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X288),X291)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22691,f312])). 15.15/2.50 tff(f22691,plain,( 15.15/2.50 ( ! [X291 : $int,X290 : $int,X289 : $int,X288 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X289 | ~$less(X289,0) | ~$less(tb2t1(t2tb1(sK5)),X290) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X290,X288) | ~$less(sK5,X291) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X288),X291)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1710,f7172])). 15.15/2.50 tff(f7172,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : $int] : (t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~$less(sK5,X1) | ~eq_prefix1(int,t2tb2(sK13),X0,X1)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f7171,f305])). 15.15/2.50 tff(f7171,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : $int] : (~eq_prefix1(int,t2tb2(sK13),X0,X1) | ~$less(sK5,X1) | t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~sort1(int,t2tb1(min_elt1(sK8)))) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f7169,f611])). 15.15/2.50 tff(f7169,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : $int] : (~eq_prefix1(int,t2tb2(sK13),X0,X1) | ~$less(sK5,X1) | $less(sK5,0) | t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~sort1(int,t2tb1(min_elt1(sK8)))) ) | ~spl30_38), 15.15/2.50 inference(superposition,[],[f1770,f770])). 15.15/2.50 tff(f1770,plain,( 15.15/2.50 ( ! [X28 : $int,X26 : uni,X27 : uni,X24 : uni,X25 : $int,X23 : ty] : (~eq_prefix1(X23,set1(X23,int,X24,t2tb1(X25),X26),X27,X28) | ~$less(X25,X28) | $less(X25,0) | get(X23,int,X27,t2tb1(X25)) = X26 | ~sort1(X23,X26)) )), 15.15/2.50 inference(superposition,[],[f409,f428])). 15.15/2.50 tff(f22931,plain,( 15.15/2.50 spl30_321 | spl30_319 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22930,f768,f609,f15680,f15695])). 15.15/2.50 tff(f22930,plain,( 15.15/2.50 ( ! [X283 : map_int_int,X287 : $int,X286 : $int,X285 : $int,X284 : $int] : (~$less(sK5,X286) | min_elt1(sK8) != X284 | n1 != X285 | $less(X284,X285) | ~partial_solution1(X286,X283) | ~$less(sK5,X287) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X283),X287)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22929,f611])). 15.15/2.50 tff(f22929,plain,( 15.15/2.50 ( ! [X283 : map_int_int,X287 : $int,X286 : $int,X285 : $int,X284 : $int] : ($less(sK5,0) | ~$less(sK5,X286) | min_elt1(sK8) != X284 | n1 != X285 | $less(X284,X285) | ~partial_solution1(X286,X283) | ~$less(sK5,X287) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X283),X287)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22928,f312])). 15.15/2.50 tff(f22928,plain,( 15.15/2.50 ( ! [X283 : map_int_int,X287 : $int,X286 : $int,X285 : $int,X284 : $int] : (~$less(sK5,X286) | min_elt1(sK8) != X284 | n1 != X285 | $less(X284,X285) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X286,X283) | ~$less(sK5,X287) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X283),X287)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22927,f312])). 15.15/2.50 tff(f22927,plain,( 15.15/2.50 ( ! [X283 : map_int_int,X287 : $int,X286 : $int,X285 : $int,X284 : $int] : (min_elt1(sK8) != X284 | n1 != X285 | $less(X284,X285) | ~$less(tb2t1(t2tb1(sK5)),X286) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X286,X283) | ~$less(sK5,X287) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X283),X287)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22690,f312])). 15.15/2.50 tff(f22690,plain,( 15.15/2.50 ( ! [X283 : map_int_int,X287 : $int,X286 : $int,X285 : $int,X284 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X284 | n1 != X285 | $less(X284,X285) | ~$less(tb2t1(t2tb1(sK5)),X286) | $less(tb2t1(t2tb1(sK5)),0) | ~partial_solution1(X286,X283) | ~$less(sK5,X287) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X283),X287)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1836,f7172])). 15.15/2.50 tff(f22919,plain,( 15.15/2.50 spl30_102 | spl30_538 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22915,f768,f609,f22917,f2202])). 15.15/2.50 tff(f22917,plain,( 15.15/2.50 spl30_538 <=> ! [X272 : map_int_int,X270 : $int,X274 : $int,X269 : map_int_int,X273 : $int] : (~eq_prefix1(int,t2tb2(X269),t2tb2(X272),sK5) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X269),X274) | ~$less(sK5,X274) | lt_sol1(X269,X272) | tb2t1(get(int,int,t2tb2(X272),t2tb1(sK5))) != X273 | min_elt1(sK8) != X270 | ~$less(X270,X273))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_538])])). 15.15/2.50 tff(f22915,plain,( 15.15/2.50 ( ! [X273 : $int,X272 : map_int_int,X271 : $int,X270 : $int,X269 : map_int_int,X274 : $int] : (~eq_prefix1(int,t2tb2(X269),t2tb2(X272),sK5) | ~$less(sK5,X271) | min_elt1(sK8) != X270 | n1 != X271 | tb2t1(get(int,int,t2tb2(X272),t2tb1(sK5))) != X273 | lt_sol1(X269,X272) | ~$less(X270,X273) | ~$less(sK5,X274) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X269),X274)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22914,f312])). 15.15/2.50 tff(f22914,plain,( 15.15/2.50 ( ! [X273 : $int,X271 : $int,X272 : map_int_int,X270 : $int,X269 : map_int_int,X274 : $int] : (~$less(sK5,X271) | min_elt1(sK8) != X270 | n1 != X271 | tb2t1(get(int,int,t2tb2(X272),t2tb1(sK5))) != X273 | lt_sol1(X269,X272) | ~$less(X270,X273) | ~eq_prefix1(int,t2tb2(X269),t2tb2(X272),tb2t1(t2tb1(sK5))) | ~$less(sK5,X274) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X269),X274)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22913,f312])). 15.15/2.50 tff(f22913,plain,( 15.15/2.50 ( ! [X273 : $int,X271 : $int,X272 : map_int_int,X270 : $int,X269 : map_int_int,X274 : $int] : (min_elt1(sK8) != X270 | n1 != X271 | ~$less(tb2t1(t2tb1(sK5)),X271) | tb2t1(get(int,int,t2tb2(X272),t2tb1(sK5))) != X273 | lt_sol1(X269,X272) | ~$less(X270,X273) | ~eq_prefix1(int,t2tb2(X269),t2tb2(X272),tb2t1(t2tb1(sK5))) | ~$less(sK5,X274) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X269),X274)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22912,f611])). 15.15/2.50 tff(f22912,plain,( 15.15/2.50 ( ! [X273 : $int,X271 : $int,X272 : map_int_int,X270 : $int,X269 : map_int_int,X274 : $int] : ($less(sK5,0) | min_elt1(sK8) != X270 | n1 != X271 | ~$less(tb2t1(t2tb1(sK5)),X271) | tb2t1(get(int,int,t2tb2(X272),t2tb1(sK5))) != X273 | lt_sol1(X269,X272) | ~$less(X270,X273) | ~eq_prefix1(int,t2tb2(X269),t2tb2(X272),tb2t1(t2tb1(sK5))) | ~$less(sK5,X274) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X269),X274)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22911,f312])). 15.15/2.50 tff(f22911,plain,( 15.15/2.50 ( ! [X273 : $int,X271 : $int,X272 : map_int_int,X270 : $int,X269 : map_int_int,X274 : $int] : (min_elt1(sK8) != X270 | $less(tb2t1(t2tb1(sK5)),0) | n1 != X271 | ~$less(tb2t1(t2tb1(sK5)),X271) | tb2t1(get(int,int,t2tb2(X272),t2tb1(sK5))) != X273 | lt_sol1(X269,X272) | ~$less(X270,X273) | ~eq_prefix1(int,t2tb2(X269),t2tb2(X272),tb2t1(t2tb1(sK5))) | ~$less(sK5,X274) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X269),X274)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22687,f312])). 15.15/2.50 tff(f22687,plain,( 15.15/2.50 ( ! [X273 : $int,X271 : $int,X272 : map_int_int,X270 : $int,X269 : map_int_int,X274 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X270 | $less(tb2t1(t2tb1(sK5)),0) | n1 != X271 | ~$less(tb2t1(t2tb1(sK5)),X271) | tb2t1(get(int,int,t2tb2(X272),t2tb1(sK5))) != X273 | lt_sol1(X269,X272) | ~$less(X270,X273) | ~eq_prefix1(int,t2tb2(X269),t2tb2(X272),tb2t1(t2tb1(sK5))) | ~$less(sK5,X274) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X269),X274)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2182,f7172])). 15.15/2.50 tff(f22901,plain,( 15.15/2.50 spl30_537 | spl30_90 | spl30_324 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22900,f768,f609,f15716,f1976,f22893])). 15.15/2.50 tff(f22893,plain,( 15.15/2.50 spl30_537 <=> ! [X221 : $int,X216 : uni,X222 : $int] : (~$less(sK5,X221) | ~eq_prefix1(int,t2tb2(sK13),X216,X222) | ~$less(sK5,X222) | ~eq_prefix1(int,X216,t2tb2(sK6),X221))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_537])])). 15.15/2.50 tff(f22900,plain,( 15.15/2.50 ( ! [X235 : $int,X232 : $int,X230 : uni,X233 : $int,X231 : $int,X236 : $int,X234 : $int] : (min_elt1(sK8) != X231 | sK5 != X232 | $sum($sum(X233,X232),$uminus(sK5)) != X231 | sK5 != X234 | ~$less(sK5,X234) | mem(int,t2tb1(X233),t2tb(sK2)) | $less(X233,0) | ~$less(sK5,X235) | ~eq_prefix1(int,X230,t2tb2(sK6),X235) | ~$less(sK5,X236) | ~eq_prefix1(int,t2tb2(sK13),X230,X236)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22899,f312])). 15.15/2.50 tff(f22899,plain,( 15.15/2.50 ( ! [X235 : $int,X232 : $int,X230 : uni,X233 : $int,X231 : $int,X236 : $int,X234 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X231 | sK5 != X232 | $sum($sum(X233,X232),$uminus(sK5)) != X231 | sK5 != X234 | ~$less(sK5,X234) | mem(int,t2tb1(X233),t2tb(sK2)) | $less(X233,0) | ~$less(sK5,X235) | ~eq_prefix1(int,X230,t2tb2(sK6),X235) | ~$less(sK5,X236) | ~eq_prefix1(int,t2tb2(sK13),X230,X236)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22680,f611])). 15.15/2.50 tff(f22680,plain,( 15.15/2.50 ( ! [X235 : $int,X232 : $int,X230 : uni,X233 : $int,X231 : $int,X236 : $int,X234 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X231 | sK5 != X232 | $sum($sum(X233,X232),$uminus(sK5)) != X231 | sK5 != X234 | ~$less(sK5,X234) | $less(sK5,0) | mem(int,t2tb1(X233),t2tb(sK2)) | $less(X233,0) | ~$less(sK5,X235) | ~eq_prefix1(int,X230,t2tb2(sK6),X235) | ~$less(sK5,X236) | ~eq_prefix1(int,t2tb2(sK13),X230,X236)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1991,f7172])). 15.15/2.50 tff(f22898,plain,( 15.15/2.50 spl30_536 | spl30_90 | spl30_324 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22897,f768,f609,f15716,f1976,f22887])). 15.15/2.50 tff(f22887,plain,( 15.15/2.50 spl30_536 <=> ! [X214 : $int,X209 : uni,X215 : $int] : (~$less(sK5,X214) | ~eq_prefix1(int,t2tb2(sK13),X209,X215) | ~$less(sK5,X215) | ~eq_prefix1(int,t2tb2(sK6),X209,X214))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_536])])). 15.15/2.50 tff(f22897,plain,( 15.15/2.50 ( ! [X224 : $int,X225 : $int,X223 : uni,X228 : $int,X229 : $int,X226 : $int,X227 : $int] : (min_elt1(sK8) != X224 | sK5 != X225 | $sum($sum(X226,X225),$uminus(sK5)) != X224 | sK5 != X227 | ~$less(sK5,X227) | mem(int,t2tb1(X226),t2tb(sK2)) | $less(X226,0) | ~$less(sK5,X228) | ~eq_prefix1(int,t2tb2(sK6),X223,X228) | ~$less(sK5,X229) | ~eq_prefix1(int,t2tb2(sK13),X223,X229)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22896,f312])). 15.15/2.50 tff(f22896,plain,( 15.15/2.50 ( ! [X224 : $int,X225 : $int,X223 : uni,X228 : $int,X229 : $int,X226 : $int,X227 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X224 | sK5 != X225 | $sum($sum(X226,X225),$uminus(sK5)) != X224 | sK5 != X227 | ~$less(sK5,X227) | mem(int,t2tb1(X226),t2tb(sK2)) | $less(X226,0) | ~$less(sK5,X228) | ~eq_prefix1(int,t2tb2(sK6),X223,X228) | ~$less(sK5,X229) | ~eq_prefix1(int,t2tb2(sK13),X223,X229)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22679,f611])). 15.15/2.50 tff(f22679,plain,( 15.15/2.50 ( ! [X224 : $int,X225 : $int,X223 : uni,X228 : $int,X229 : $int,X226 : $int,X227 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X224 | sK5 != X225 | $sum($sum(X226,X225),$uminus(sK5)) != X224 | sK5 != X227 | ~$less(sK5,X227) | $less(sK5,0) | mem(int,t2tb1(X226),t2tb(sK2)) | $less(X226,0) | ~$less(sK5,X228) | ~eq_prefix1(int,t2tb2(sK6),X223,X228) | ~$less(sK5,X229) | ~eq_prefix1(int,t2tb2(sK13),X223,X229)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1990,f7172])). 15.15/2.50 tff(f22895,plain,( 15.15/2.50 spl30_537 | spl30_90 | spl30_91 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22891,f768,f609,f1979,f1976,f22893])). 15.15/2.50 tff(f22891,plain,( 15.15/2.50 ( ! [X222 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : uni,X217 : $int] : (min_elt1(sK8) != X217 | sK5 != X218 | $sum($sum(X219,sK5),$uminus(X218)) != X217 | sK5 != X220 | ~$less(sK5,X220) | mem(int,t2tb1(X219),t2tb(sK1)) | $less(X219,0) | ~$less(sK5,X221) | ~eq_prefix1(int,X216,t2tb2(sK6),X221) | ~$less(sK5,X222) | ~eq_prefix1(int,t2tb2(sK13),X216,X222)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22890,f312])). 15.15/2.50 tff(f22890,plain,( 15.15/2.50 ( ! [X222 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : uni,X217 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X217 | sK5 != X218 | $sum($sum(X219,sK5),$uminus(X218)) != X217 | sK5 != X220 | ~$less(sK5,X220) | mem(int,t2tb1(X219),t2tb(sK1)) | $less(X219,0) | ~$less(sK5,X221) | ~eq_prefix1(int,X216,t2tb2(sK6),X221) | ~$less(sK5,X222) | ~eq_prefix1(int,t2tb2(sK13),X216,X222)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22678,f611])). 15.15/2.50 tff(f22678,plain,( 15.15/2.50 ( ! [X222 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : uni,X217 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X217 | sK5 != X218 | $sum($sum(X219,sK5),$uminus(X218)) != X217 | $less(sK5,0) | sK5 != X220 | ~$less(sK5,X220) | mem(int,t2tb1(X219),t2tb(sK1)) | $less(X219,0) | ~$less(sK5,X221) | ~eq_prefix1(int,X216,t2tb2(sK6),X221) | ~$less(sK5,X222) | ~eq_prefix1(int,t2tb2(sK13),X216,X222)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1959,f7172])). 15.15/2.50 tff(f22889,plain,( 15.15/2.50 spl30_536 | spl30_90 | spl30_91 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22885,f768,f609,f1979,f1976,f22887])). 15.15/2.50 tff(f22885,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : $int,X211 : $int,X209 : uni,X214 : $int] : (min_elt1(sK8) != X210 | sK5 != X211 | $sum($sum(X212,sK5),$uminus(X211)) != X210 | sK5 != X213 | ~$less(sK5,X213) | mem(int,t2tb1(X212),t2tb(sK1)) | $less(X212,0) | ~$less(sK5,X214) | ~eq_prefix1(int,t2tb2(sK6),X209,X214) | ~$less(sK5,X215) | ~eq_prefix1(int,t2tb2(sK13),X209,X215)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22884,f312])). 15.15/2.50 tff(f22884,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : $int,X211 : $int,X209 : uni,X214 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X210 | sK5 != X211 | $sum($sum(X212,sK5),$uminus(X211)) != X210 | sK5 != X213 | ~$less(sK5,X213) | mem(int,t2tb1(X212),t2tb(sK1)) | $less(X212,0) | ~$less(sK5,X214) | ~eq_prefix1(int,t2tb2(sK6),X209,X214) | ~$less(sK5,X215) | ~eq_prefix1(int,t2tb2(sK13),X209,X215)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22677,f611])). 15.15/2.50 tff(f22677,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : $int,X211 : $int,X209 : uni,X214 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X210 | sK5 != X211 | $sum($sum(X212,sK5),$uminus(X211)) != X210 | $less(sK5,0) | sK5 != X213 | ~$less(sK5,X213) | mem(int,t2tb1(X212),t2tb(sK1)) | $less(X212,0) | ~$less(sK5,X214) | ~eq_prefix1(int,t2tb2(sK6),X209,X214) | ~$less(sK5,X215) | ~eq_prefix1(int,t2tb2(sK13),X209,X215)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1958,f7172])). 15.15/2.50 tff(f22883,plain,( 15.15/2.50 spl30_534 | spl30_321 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22882,f768,f609,f15695,f22866])). 15.15/2.50 tff(f22866,plain,( 15.15/2.50 spl30_534 <=> ! [X183 : $int,X181 : map_int_int,X182 : $int,X180 : $int,X178 : uni] : (~$less(sK5,X180) | ~eq_prefix1(int,t2tb2(sK13),X178,X183) | ~$less(sK5,X183) | ~eq_prefix1(int,X178,t2tb2(X181),X182) | ~$less(sK5,X182) | ~partial_solution1(X180,X181))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_534])])). 15.15/2.50 tff(f22882,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : uni,X203 : $int,X208 : $int,X206 : map_int_int,X207 : $int,X204 : $int] : (min_elt1(sK8) != X203 | n1 != X204 | $less(X203,X204) | ~$less(sK5,X205) | ~partial_solution1(X205,X206) | ~$less(sK5,X207) | ~eq_prefix1(int,X202,t2tb2(X206),X207) | ~$less(sK5,X208) | ~eq_prefix1(int,t2tb2(sK13),X202,X208)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22881,f312])). 15.15/2.50 tff(f22881,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : uni,X203 : $int,X208 : $int,X206 : map_int_int,X207 : $int,X204 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X203 | n1 != X204 | $less(X203,X204) | ~$less(sK5,X205) | ~partial_solution1(X205,X206) | ~$less(sK5,X207) | ~eq_prefix1(int,X202,t2tb2(X206),X207) | ~$less(sK5,X208) | ~eq_prefix1(int,t2tb2(sK13),X202,X208)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22676,f611])). 15.15/2.50 tff(f22676,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : uni,X203 : $int,X208 : $int,X206 : map_int_int,X207 : $int,X204 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X203 | n1 != X204 | $less(X203,X204) | ~$less(sK5,X205) | $less(sK5,0) | ~partial_solution1(X205,X206) | ~$less(sK5,X207) | ~eq_prefix1(int,X202,t2tb2(X206),X207) | ~$less(sK5,X208) | ~eq_prefix1(int,t2tb2(sK13),X202,X208)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1843,f7172])). 15.15/2.50 tff(f22880,plain,( 15.15/2.50 spl30_535 | spl30_321 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22879,f768,f609,f15695,f22872])). 15.15/2.50 tff(f22872,plain,( 15.15/2.50 spl30_535 <=> ! [X189 : $int,X188 : $int,X187 : map_int_int,X184 : uni,X186 : $int] : (~$less(sK5,X186) | ~eq_prefix1(int,t2tb2(sK13),X184,X189) | ~$less(sK5,X189) | ~eq_prefix1(int,t2tb2(X187),X184,X188) | ~$less(sK5,X188) | ~partial_solution1(X186,X187))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_535])])). 15.15/2.50 tff(f22879,plain,( 15.15/2.50 ( ! [X195 : uni,X200 : $int,X198 : $int,X201 : $int,X199 : map_int_int,X196 : $int,X197 : $int] : (min_elt1(sK8) != X196 | n1 != X197 | $less(X196,X197) | ~$less(sK5,X198) | ~partial_solution1(X198,X199) | ~$less(sK5,X200) | ~eq_prefix1(int,t2tb2(X199),X195,X200) | ~$less(sK5,X201) | ~eq_prefix1(int,t2tb2(sK13),X195,X201)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22878,f312])). 15.15/2.50 tff(f22878,plain,( 15.15/2.50 ( ! [X195 : uni,X200 : $int,X198 : $int,X201 : $int,X199 : map_int_int,X196 : $int,X197 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X196 | n1 != X197 | $less(X196,X197) | ~$less(sK5,X198) | ~partial_solution1(X198,X199) | ~$less(sK5,X200) | ~eq_prefix1(int,t2tb2(X199),X195,X200) | ~$less(sK5,X201) | ~eq_prefix1(int,t2tb2(sK13),X195,X201)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22675,f611])). 15.15/2.50 tff(f22675,plain,( 15.15/2.50 ( ! [X195 : uni,X200 : $int,X198 : $int,X201 : $int,X199 : map_int_int,X196 : $int,X197 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X196 | n1 != X197 | $less(X196,X197) | ~$less(sK5,X198) | $less(sK5,0) | ~partial_solution1(X198,X199) | ~$less(sK5,X200) | ~eq_prefix1(int,t2tb2(X199),X195,X200) | ~$less(sK5,X201) | ~eq_prefix1(int,t2tb2(sK13),X195,X201)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1842,f7172])). 15.15/2.50 tff(f22877,plain,( 15.15/2.50 spl30_533 | spl30_321 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22876,f768,f609,f15695,f22860])). 15.15/2.50 tff(f22860,plain,( 15.15/2.50 spl30_533 <=> ! [X176 : $int,X177 : $int,X174 : uni] : (~$less(sK5,X176) | ~eq_prefix1(int,t2tb2(sK13),X174,X177) | ~$less(sK5,X177) | ~partial_solution1(X176,tb2t2(X174)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_533])])). 15.15/2.50 tff(f22876,plain,( 15.15/2.50 ( ! [X191 : $int,X194 : $int,X192 : $int,X193 : $int,X190 : uni] : (min_elt1(sK8) != X191 | n1 != X192 | $less(X191,X192) | ~$less(sK5,X193) | ~partial_solution1(X193,tb2t2(X190)) | ~$less(sK5,X194) | ~eq_prefix1(int,t2tb2(sK13),X190,X194)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22875,f312])). 15.15/2.50 tff(f22875,plain,( 15.15/2.50 ( ! [X191 : $int,X194 : $int,X192 : $int,X193 : $int,X190 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X191 | n1 != X192 | $less(X191,X192) | ~$less(sK5,X193) | ~partial_solution1(X193,tb2t2(X190)) | ~$less(sK5,X194) | ~eq_prefix1(int,t2tb2(sK13),X190,X194)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22674,f611])). 15.15/2.50 tff(f22674,plain,( 15.15/2.50 ( ! [X191 : $int,X194 : $int,X192 : $int,X193 : $int,X190 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X191 | n1 != X192 | $less(X191,X192) | ~$less(sK5,X193) | $less(sK5,0) | ~partial_solution1(X193,tb2t2(X190)) | ~$less(sK5,X194) | ~eq_prefix1(int,t2tb2(sK13),X190,X194)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1835,f7172])). 15.15/2.50 tff(f22874,plain,( 15.15/2.50 spl30_535 | spl30_76 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22870,f768,f609,f1729,f22872])). 15.15/2.50 tff(f22870,plain,( 15.15/2.50 ( ! [X188 : $int,X189 : $int,X186 : $int,X187 : map_int_int,X184 : uni,X185 : $int] : (min_elt1(sK8) != X185 | ~$less(X185,0) | ~$less(sK5,X186) | ~partial_solution1(X186,X187) | ~$less(sK5,X188) | ~eq_prefix1(int,t2tb2(X187),X184,X188) | ~$less(sK5,X189) | ~eq_prefix1(int,t2tb2(sK13),X184,X189)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22869,f312])). 15.15/2.50 tff(f22869,plain,( 15.15/2.50 ( ! [X188 : $int,X189 : $int,X186 : $int,X187 : map_int_int,X184 : uni,X185 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X185 | ~$less(X185,0) | ~$less(sK5,X186) | ~partial_solution1(X186,X187) | ~$less(sK5,X188) | ~eq_prefix1(int,t2tb2(X187),X184,X188) | ~$less(sK5,X189) | ~eq_prefix1(int,t2tb2(sK13),X184,X189)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22673,f611])). 15.15/2.50 tff(f22673,plain,( 15.15/2.50 ( ! [X188 : $int,X189 : $int,X186 : $int,X187 : map_int_int,X184 : uni,X185 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X185 | ~$less(X185,0) | ~$less(sK5,X186) | $less(sK5,0) | ~partial_solution1(X186,X187) | ~$less(sK5,X188) | ~eq_prefix1(int,t2tb2(X187),X184,X188) | ~$less(sK5,X189) | ~eq_prefix1(int,t2tb2(sK13),X184,X189)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1791,f7172])). 15.15/2.50 tff(f22868,plain,( 15.15/2.50 spl30_534 | spl30_76 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22864,f768,f609,f1729,f22866])). 15.15/2.50 tff(f22864,plain,( 15.15/2.50 ( ! [X180 : $int,X181 : map_int_int,X178 : uni,X179 : $int,X182 : $int,X183 : $int] : (min_elt1(sK8) != X179 | ~$less(X179,0) | ~$less(sK5,X180) | ~partial_solution1(X180,X181) | ~$less(sK5,X182) | ~eq_prefix1(int,X178,t2tb2(X181),X182) | ~$less(sK5,X183) | ~eq_prefix1(int,t2tb2(sK13),X178,X183)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22863,f312])). 15.15/2.50 tff(f22863,plain,( 15.15/2.50 ( ! [X180 : $int,X181 : map_int_int,X178 : uni,X179 : $int,X182 : $int,X183 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X179 | ~$less(X179,0) | ~$less(sK5,X180) | ~partial_solution1(X180,X181) | ~$less(sK5,X182) | ~eq_prefix1(int,X178,t2tb2(X181),X182) | ~$less(sK5,X183) | ~eq_prefix1(int,t2tb2(sK13),X178,X183)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22672,f611])). 15.15/2.50 tff(f22672,plain,( 15.15/2.50 ( ! [X180 : $int,X181 : map_int_int,X178 : uni,X179 : $int,X182 : $int,X183 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X179 | ~$less(X179,0) | ~$less(sK5,X180) | $less(sK5,0) | ~partial_solution1(X180,X181) | ~$less(sK5,X182) | ~eq_prefix1(int,X178,t2tb2(X181),X182) | ~$less(sK5,X183) | ~eq_prefix1(int,t2tb2(sK13),X178,X183)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1790,f7172])). 15.15/2.50 tff(f22862,plain,( 15.15/2.50 spl30_533 | spl30_76 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22858,f768,f609,f1729,f22860])). 15.15/2.50 tff(f22858,plain,( 15.15/2.50 ( ! [X176 : $int,X174 : uni,X177 : $int,X175 : $int] : (min_elt1(sK8) != X175 | ~$less(X175,0) | ~$less(sK5,X176) | ~partial_solution1(X176,tb2t2(X174)) | ~$less(sK5,X177) | ~eq_prefix1(int,t2tb2(sK13),X174,X177)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22857,f312])). 15.15/2.50 tff(f22857,plain,( 15.15/2.50 ( ! [X176 : $int,X174 : uni,X177 : $int,X175 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X175 | ~$less(X175,0) | ~$less(sK5,X176) | ~partial_solution1(X176,tb2t2(X174)) | ~$less(sK5,X177) | ~eq_prefix1(int,t2tb2(sK13),X174,X177)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22671,f611])). 15.15/2.50 tff(f22671,plain,( 15.15/2.50 ( ! [X176 : $int,X174 : uni,X177 : $int,X175 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X175 | ~$less(X175,0) | ~$less(sK5,X176) | $less(sK5,0) | ~partial_solution1(X176,tb2t2(X174)) | ~$less(sK5,X177) | ~eq_prefix1(int,t2tb2(sK13),X174,X177)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1709,f7172])). 15.15/2.50 tff(f22856,plain,( 15.15/2.50 spl30_532 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22670,f768,f609,f489,f2154,f22854])). 15.15/2.50 tff(f22854,plain,( 15.15/2.50 spl30_532 <=> ! [X173 : $int,X172 : uni] : (~eq_prefix1(int,t2tb2(sK12),X172,sK5) | ~eq_prefix1(int,t2tb2(sK13),X172,X173) | ~$less(sK5,X173) | ~partial_solution1(n1,tb2t2(X172)) | eq_prefix1(int,X172,get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(tb2t2(X172)))),n1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_532])])). 15.15/2.50 tff(f22670,plain,( 15.15/2.50 ( ! [X172 : uni,X173 : $int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),X172,sK5) | eq_prefix1(int,X172,get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(tb2t2(X172)))),n1) | ~partial_solution1(n1,tb2t2(X172)) | ~$less(sK5,X173) | ~eq_prefix1(int,t2tb2(sK13),X172,X173)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2131,f7172])). 15.15/2.50 tff(f22852,plain,( 15.15/2.50 spl30_531 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22669,f768,f609,f489,f2154,f22850])). 15.15/2.50 tff(f22850,plain,( 15.15/2.50 spl30_531 <=> ! [X171 : $int,X169 : map_int_int,X170 : $int,X168 : uni] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X169),sK5) | ~eq_prefix1(int,t2tb2(sK13),X168,X171) | ~$less(sK5,X171) | ~eq_prefix1(int,X168,t2tb2(X169),X170) | ~$less(sK5,X170) | ~partial_solution1(n1,X169) | eq_prefix1(int,t2tb2(X169),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X169))),n1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_531])])). 15.15/2.50 tff(f22669,plain,( 15.15/2.50 ( ! [X170 : $int,X171 : $int,X168 : uni,X169 : map_int_int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X169),sK5) | eq_prefix1(int,t2tb2(X169),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X169))),n1) | ~partial_solution1(n1,X169) | ~$less(sK5,X170) | ~eq_prefix1(int,X168,t2tb2(X169),X170) | ~$less(sK5,X171) | ~eq_prefix1(int,t2tb2(sK13),X168,X171)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2158,f7172])). 15.15/2.50 tff(f22848,plain,( 15.15/2.50 spl30_530 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22668,f768,f609,f489,f2154,f22846])). 15.15/2.50 tff(f22846,plain,( 15.15/2.50 spl30_530 <=> ! [X167 : $int,X166 : $int,X164 : uni,X165 : map_int_int] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X165),sK5) | ~eq_prefix1(int,t2tb2(sK13),X164,X167) | ~$less(sK5,X167) | ~eq_prefix1(int,t2tb2(X165),X164,X166) | ~$less(sK5,X166) | ~partial_solution1(n1,X165) | eq_prefix1(int,t2tb2(X165),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X165))),n1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_530])])). 15.15/2.50 tff(f22668,plain,( 15.15/2.50 ( ! [X166 : $int,X167 : $int,X164 : uni,X165 : map_int_int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X165),sK5) | eq_prefix1(int,t2tb2(X165),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X165))),n1) | ~partial_solution1(n1,X165) | ~$less(sK5,X166) | ~eq_prefix1(int,t2tb2(X165),X164,X166) | ~$less(sK5,X167) | ~eq_prefix1(int,t2tb2(sK13),X164,X167)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2159,f7172])). 15.15/2.50 tff(f22844,plain,( 15.15/2.50 spl30_323 | spl30_90 | spl30_91 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22843,f768,f609,f1979,f1976,f15710])). 15.15/2.50 tff(f15710,plain,( 15.15/2.50 spl30_323 <=> ! [X127 : $int] : (~$less(sK5,X127) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X127))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_323])])). 15.15/2.50 tff(f22843,plain,( 15.15/2.50 ( ! [X160 : $int,X158 : $int,X161 : $int,X159 : $int,X157 : $int] : (min_elt1(sK8) != X157 | sK5 != X158 | $sum($sum(X159,sK5),$uminus(X158)) != X157 | sK5 != X160 | ~$less(sK5,X160) | mem(int,t2tb1(X159),t2tb(sK1)) | $less(X159,0) | ~$less(sK5,X161) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X161)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22842,f312])). 15.15/2.50 tff(f22842,plain,( 15.15/2.50 ( ! [X160 : $int,X158 : $int,X161 : $int,X159 : $int,X157 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X157 | sK5 != X158 | $sum($sum(X159,sK5),$uminus(X158)) != X157 | sK5 != X160 | ~$less(sK5,X160) | mem(int,t2tb1(X159),t2tb(sK1)) | $less(X159,0) | ~$less(sK5,X161) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X161)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22665,f611])). 15.15/2.50 tff(f22665,plain,( 15.15/2.50 ( ! [X160 : $int,X158 : $int,X161 : $int,X159 : $int,X157 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X157 | sK5 != X158 | $sum($sum(X159,sK5),$uminus(X158)) != X157 | $less(sK5,0) | sK5 != X160 | ~$less(sK5,X160) | mem(int,t2tb1(X159),t2tb(sK1)) | $less(X159,0) | ~$less(sK5,X161) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X161)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f446,f7172])). 15.15/2.50 tff(f22841,plain,( 15.15/2.50 spl30_323 | spl30_90 | spl30_324 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22840,f768,f609,f15716,f1976,f15710])). 15.15/2.50 tff(f22840,plain,( 15.15/2.50 ( ! [X155 : $int,X152 : $int,X153 : $int,X156 : $int,X154 : $int] : (min_elt1(sK8) != X152 | sK5 != X153 | $sum($sum(X154,X153),$uminus(sK5)) != X152 | sK5 != X155 | ~$less(sK5,X155) | mem(int,t2tb1(X154),t2tb(sK2)) | $less(X154,0) | ~$less(sK5,X156) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X156)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22839,f312])). 15.15/2.50 tff(f22839,plain,( 15.15/2.50 ( ! [X155 : $int,X152 : $int,X153 : $int,X156 : $int,X154 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X152 | sK5 != X153 | $sum($sum(X154,X153),$uminus(sK5)) != X152 | sK5 != X155 | ~$less(sK5,X155) | mem(int,t2tb1(X154),t2tb(sK2)) | $less(X154,0) | ~$less(sK5,X156) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X156)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22664,f611])). 15.15/2.50 tff(f22664,plain,( 15.15/2.50 ( ! [X155 : $int,X152 : $int,X153 : $int,X156 : $int,X154 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X152 | sK5 != X153 | $sum($sum(X154,X153),$uminus(sK5)) != X152 | sK5 != X155 | ~$less(sK5,X155) | $less(sK5,0) | mem(int,t2tb1(X154),t2tb(sK2)) | $less(X154,0) | ~$less(sK5,X156) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X156)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f450,f7172])). 15.15/2.50 tff(f22838,plain,( 15.15/2.50 spl30_323 | spl30_90 | spl30_529 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22834,f768,f609,f22836,f1976,f15710])). 15.15/2.50 tff(f22834,plain,( 15.15/2.50 ( ! [X150 : $int,X148 : $int,X149 : $int,X147 : $int] : (min_elt1(sK8) != $sum($sum(X147,sK5),$uminus(X148)) | sK5 != X148 | sK5 != X149 | ~$less(sK5,X149) | mem(int,t2tb1(X147),t2tb(sK1)) | $less(X147,0) | ~$less(sK5,X150) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X150)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22833,f312])). 15.15/2.50 tff(f22833,plain,( 15.15/2.50 ( ! [X150 : $int,X148 : $int,X149 : $int,X147 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != $sum($sum(X147,sK5),$uminus(X148)) | sK5 != X148 | sK5 != X149 | ~$less(sK5,X149) | mem(int,t2tb1(X147),t2tb(sK1)) | $less(X147,0) | ~$less(sK5,X150) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X150)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22662,f611])). 15.15/2.50 tff(f22662,plain,( 15.15/2.50 ( ! [X150 : $int,X148 : $int,X149 : $int,X147 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != $sum($sum(X147,sK5),$uminus(X148)) | sK5 != X148 | $less(sK5,0) | sK5 != X149 | ~$less(sK5,X149) | mem(int,t2tb1(X147),t2tb(sK1)) | $less(X147,0) | ~$less(sK5,X150) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X150)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1957,f7172])). 15.15/2.50 tff(f22832,plain,( 15.15/2.50 spl30_323 | spl30_90 | spl30_528 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22828,f768,f609,f22830,f1976,f15710])). 15.15/2.50 tff(f22828,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (min_elt1(sK8) != $sum($sum(X143,X144),$uminus(sK5)) | sK5 != X144 | sK5 != X145 | ~$less(sK5,X145) | mem(int,t2tb1(X143),t2tb(sK2)) | $less(X143,0) | ~$less(sK5,X146) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X146)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22827,f312])). 15.15/2.50 tff(f22827,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != $sum($sum(X143,X144),$uminus(sK5)) | sK5 != X144 | sK5 != X145 | ~$less(sK5,X145) | mem(int,t2tb1(X143),t2tb(sK2)) | $less(X143,0) | ~$less(sK5,X146) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X146)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22661,f611])). 15.15/2.50 tff(f22661,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != $sum($sum(X143,X144),$uminus(sK5)) | sK5 != X144 | sK5 != X145 | ~$less(sK5,X145) | $less(sK5,0) | mem(int,t2tb1(X143),t2tb(sK2)) | $less(X143,0) | ~$less(sK5,X146) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X146)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1989,f7172])). 15.15/2.50 tff(f22809,plain,( 15.15/2.50 spl30_102 | spl30_527 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22805,f768,f609,f22807,f2202])). 15.15/2.50 tff(f22807,plain,( 15.15/2.50 spl30_527 <=> ! [X66 : map_int_int,X61 : map_int_int,X65 : $int,X64 : uni,X67 : $int,X62 : $int,X68 : $int] : (min_elt1(sK8) != X62 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X61),X68) | ~$less(sK5,X68) | ~eq_prefix1(int,X64,t2tb2(X66),X67) | ~$less(sK5,X67) | ~$less(X62,X65) | lt_sol1(X61,X66) | ~eq_prefix1(int,t2tb2(X61),t2tb2(X66),sK5) | tb2t1(get(int,int,X64,t2tb1(sK5))) != X65)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_527])])). 15.15/2.50 tff(f22805,plain,( 15.15/2.50 ( ! [X65 : $int,X68 : $int,X62 : $int,X63 : $int,X66 : map_int_int,X61 : map_int_int,X67 : $int,X64 : uni] : (min_elt1(sK8) != X62 | n1 != X63 | ~$less(sK5,X63) | tb2t1(get(int,int,X64,t2tb1(sK5))) != X65 | lt_sol1(X61,X66) | ~$less(X62,X65) | ~eq_prefix1(int,t2tb2(X61),t2tb2(X66),sK5) | ~$less(sK5,X67) | ~eq_prefix1(int,X64,t2tb2(X66),X67) | ~$less(sK5,X68) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X61),X68)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22804,f312])). 15.15/2.50 tff(f22804,plain,( 15.15/2.50 ( ! [X65 : $int,X68 : $int,X62 : $int,X63 : $int,X66 : map_int_int,X61 : map_int_int,X67 : $int,X64 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X62 | n1 != X63 | ~$less(sK5,X63) | tb2t1(get(int,int,X64,t2tb1(sK5))) != X65 | lt_sol1(X61,X66) | ~$less(X62,X65) | ~eq_prefix1(int,t2tb2(X61),t2tb2(X66),sK5) | ~$less(sK5,X67) | ~eq_prefix1(int,X64,t2tb2(X66),X67) | ~$less(sK5,X68) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X61),X68)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22648,f611])). 15.15/2.50 tff(f22648,plain,( 15.15/2.50 ( ! [X65 : $int,X68 : $int,X62 : $int,X63 : $int,X66 : map_int_int,X61 : map_int_int,X67 : $int,X64 : uni] : (tb2t1(t2tb1(min_elt1(sK8))) != X62 | $less(sK5,0) | n1 != X63 | ~$less(sK5,X63) | tb2t1(get(int,int,X64,t2tb1(sK5))) != X65 | lt_sol1(X61,X66) | ~$less(X62,X65) | ~eq_prefix1(int,t2tb2(X61),t2tb2(X66),sK5) | ~$less(sK5,X67) | ~eq_prefix1(int,X64,t2tb2(X66),X67) | ~$less(sK5,X68) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X61),X68)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2189,f7172])). 15.15/2.50 tff(f22803,plain,( 15.15/2.50 spl30_102 | spl30_526 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22799,f768,f609,f22801,f2202])). 15.15/2.50 tff(f22801,plain,( 15.15/2.50 spl30_526 <=> ! [X59 : $int,X54 : $int,X53 : map_int_int,X56 : uni,X57 : $int,X58 : map_int_int,X60 : $int] : (min_elt1(sK8) != X54 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X53),X60) | ~$less(sK5,X60) | ~eq_prefix1(int,t2tb2(X58),X56,X59) | ~$less(sK5,X59) | ~$less(X54,X57) | lt_sol1(X53,X58) | ~eq_prefix1(int,t2tb2(X53),t2tb2(X58),sK5) | tb2t1(get(int,int,X56,t2tb1(sK5))) != X57)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_526])])). 15.15/2.50 tff(f22799,plain,( 15.15/2.50 ( ! [X58 : map_int_int,X59 : $int,X56 : uni,X54 : $int,X57 : $int,X55 : $int,X53 : map_int_int,X60 : $int] : (min_elt1(sK8) != X54 | n1 != X55 | ~$less(sK5,X55) | tb2t1(get(int,int,X56,t2tb1(sK5))) != X57 | lt_sol1(X53,X58) | ~$less(X54,X57) | ~eq_prefix1(int,t2tb2(X53),t2tb2(X58),sK5) | ~$less(sK5,X59) | ~eq_prefix1(int,t2tb2(X58),X56,X59) | ~$less(sK5,X60) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X53),X60)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22798,f312])). 15.15/2.50 tff(f22798,plain,( 15.15/2.50 ( ! [X58 : map_int_int,X59 : $int,X56 : uni,X54 : $int,X57 : $int,X55 : $int,X53 : map_int_int,X60 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X54 | n1 != X55 | ~$less(sK5,X55) | tb2t1(get(int,int,X56,t2tb1(sK5))) != X57 | lt_sol1(X53,X58) | ~$less(X54,X57) | ~eq_prefix1(int,t2tb2(X53),t2tb2(X58),sK5) | ~$less(sK5,X59) | ~eq_prefix1(int,t2tb2(X58),X56,X59) | ~$less(sK5,X60) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X53),X60)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22647,f611])). 15.15/2.50 tff(f22647,plain,( 15.15/2.50 ( ! [X58 : map_int_int,X59 : $int,X56 : uni,X54 : $int,X57 : $int,X55 : $int,X53 : map_int_int,X60 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X54 | $less(sK5,0) | n1 != X55 | ~$less(sK5,X55) | tb2t1(get(int,int,X56,t2tb1(sK5))) != X57 | lt_sol1(X53,X58) | ~$less(X54,X57) | ~eq_prefix1(int,t2tb2(X53),t2tb2(X58),sK5) | ~$less(sK5,X59) | ~eq_prefix1(int,t2tb2(X58),X56,X59) | ~$less(sK5,X60) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X53),X60)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2188,f7172])). 15.15/2.50 tff(f22797,plain,( 15.15/2.50 spl30_102 | spl30_525 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22793,f768,f609,f22795,f2202])). 15.15/2.50 tff(f22795,plain,( 15.15/2.50 spl30_525 <=> ! [X48 : map_int_int,X51 : map_int_int,X49 : $int,X52 : $int] : (min_elt1(sK8) != X49 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X48),X52) | ~$less(sK5,X52) | ~eq_prefix1(int,t2tb2(X48),t2tb2(X51),sK5) | ~$less(X49,tb2t1(get(int,int,t2tb2(X51),t2tb1(sK5)))) | lt_sol1(X48,X51))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_525])])). 15.15/2.50 tff(f22793,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : map_int_int,X48 : map_int_int,X49 : $int,X52 : $int] : (min_elt1(sK8) != X49 | n1 != X50 | ~$less(sK5,X50) | lt_sol1(X48,X51) | ~$less(X49,tb2t1(get(int,int,t2tb2(X51),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(X48),t2tb2(X51),sK5) | ~$less(sK5,X52) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X48),X52)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22792,f312])). 15.15/2.50 tff(f22792,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : map_int_int,X48 : map_int_int,X49 : $int,X52 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X49 | n1 != X50 | ~$less(sK5,X50) | lt_sol1(X48,X51) | ~$less(X49,tb2t1(get(int,int,t2tb2(X51),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(X48),t2tb2(X51),sK5) | ~$less(sK5,X52) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X48),X52)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22646,f611])). 15.15/2.50 tff(f22646,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : map_int_int,X48 : map_int_int,X49 : $int,X52 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X49 | n1 != X50 | ~$less(sK5,X50) | $less(sK5,0) | lt_sol1(X48,X51) | ~$less(X49,tb2t1(get(int,int,t2tb2(X51),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(X48),t2tb2(X51),sK5) | ~$less(sK5,X52) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X48),X52)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2187,f7172])). 15.15/2.50 tff(f22791,plain,( 15.15/2.50 spl30_102 | spl30_524 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22787,f768,f609,f22789,f2202])). 15.15/2.50 tff(f22789,plain,( 15.15/2.50 spl30_524 <=> ! [X42 : map_int_int,X43 : $int,X47 : $int,X46 : $int,X45 : uni] : (min_elt1(sK8) != X43 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X42),X47) | ~$less(sK5,X47) | ~eq_prefix1(int,t2tb2(X42),X45,sK5) | ~$less(X43,X46) | lt_sol1(X42,tb2t2(X45)) | tb2t1(get(int,int,X45,t2tb1(sK5))) != X46)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_524])])). 15.15/2.50 tff(f22787,plain,( 15.15/2.50 ( ! [X46 : $int,X47 : $int,X44 : $int,X45 : uni,X42 : map_int_int,X43 : $int] : (min_elt1(sK8) != X43 | n1 != X44 | ~$less(sK5,X44) | tb2t1(get(int,int,X45,t2tb1(sK5))) != X46 | lt_sol1(X42,tb2t2(X45)) | ~$less(X43,X46) | ~eq_prefix1(int,t2tb2(X42),X45,sK5) | ~$less(sK5,X47) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X42),X47)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22786,f312])). 15.15/2.50 tff(f22786,plain,( 15.15/2.50 ( ! [X46 : $int,X47 : $int,X44 : $int,X45 : uni,X42 : map_int_int,X43 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X43 | n1 != X44 | ~$less(sK5,X44) | tb2t1(get(int,int,X45,t2tb1(sK5))) != X46 | lt_sol1(X42,tb2t2(X45)) | ~$less(X43,X46) | ~eq_prefix1(int,t2tb2(X42),X45,sK5) | ~$less(sK5,X47) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X42),X47)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22645,f611])). 15.15/2.50 tff(f22645,plain,( 15.15/2.50 ( ! [X46 : $int,X47 : $int,X44 : $int,X45 : uni,X42 : map_int_int,X43 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X43 | $less(sK5,0) | n1 != X44 | ~$less(sK5,X44) | tb2t1(get(int,int,X45,t2tb1(sK5))) != X46 | lt_sol1(X42,tb2t2(X45)) | ~$less(X43,X46) | ~eq_prefix1(int,t2tb2(X42),X45,sK5) | ~$less(sK5,X47) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X42),X47)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2181,f7172])). 15.15/2.50 tff(f22783,plain,( 15.15/2.50 spl30_102 | spl30_523 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22779,f768,f609,f22781,f2202])). 15.15/2.50 tff(f22781,plain,( 15.15/2.50 spl30_523 <=> ! [X38 : $int,X33 : map_int_int,X34 : $int,X36 : map_int_int,X37 : $int] : (min_elt1(sK8) != X34 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X33),X38) | ~$less(sK5,X38) | ~eq_prefix1(int,t2tb2(X36),t2tb2(X33),sK5) | lt_sol1(X36,X33) | tb2t1(get(int,int,t2tb2(X36),t2tb1(sK5))) != X37 | ~$less(X37,X34))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_523])])). 15.15/2.50 tff(f22779,plain,( 15.15/2.50 ( ! [X38 : $int,X36 : map_int_int,X37 : $int,X34 : $int,X35 : $int,X33 : map_int_int] : (min_elt1(sK8) != X34 | n1 != X35 | ~$less(sK5,X35) | tb2t1(get(int,int,t2tb2(X36),t2tb1(sK5))) != X37 | lt_sol1(X36,X33) | ~$less(X37,X34) | ~eq_prefix1(int,t2tb2(X36),t2tb2(X33),sK5) | ~$less(sK5,X38) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X33),X38)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22778,f312])). 15.15/2.50 tff(f22778,plain,( 15.15/2.50 ( ! [X38 : $int,X36 : map_int_int,X37 : $int,X34 : $int,X35 : $int,X33 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X34 | n1 != X35 | ~$less(sK5,X35) | tb2t1(get(int,int,t2tb2(X36),t2tb1(sK5))) != X37 | lt_sol1(X36,X33) | ~$less(X37,X34) | ~eq_prefix1(int,t2tb2(X36),t2tb2(X33),sK5) | ~$less(sK5,X38) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X33),X38)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22643,f611])). 15.15/2.50 tff(f22643,plain,( 15.15/2.50 ( ! [X38 : $int,X36 : map_int_int,X37 : $int,X34 : $int,X35 : $int,X33 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X34 | $less(sK5,0) | n1 != X35 | ~$less(sK5,X35) | tb2t1(get(int,int,t2tb2(X36),t2tb1(sK5))) != X37 | lt_sol1(X36,X33) | ~$less(X37,X34) | ~eq_prefix1(int,t2tb2(X36),t2tb2(X33),sK5) | ~$less(sK5,X38) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X33),X38)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f475,f7172])). 15.15/2.50 tff(f22777,plain,( 15.15/2.50 spl30_319 | spl30_321 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22776,f768,f609,f15695,f15680])). 15.15/2.50 tff(f22776,plain,( 15.15/2.50 ( ! [X31 : $int,X28 : map_int_int,X29 : $int,X32 : $int,X30 : $int] : (min_elt1(sK8) != X29 | n1 != X30 | $less(X29,X30) | ~$less(sK5,X31) | ~partial_solution1(X31,X28) | ~$less(sK5,X32) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X28),X32)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22775,f312])). 15.15/2.50 tff(f22775,plain,( 15.15/2.50 ( ! [X31 : $int,X28 : map_int_int,X29 : $int,X32 : $int,X30 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X29 | n1 != X30 | $less(X29,X30) | ~$less(sK5,X31) | ~partial_solution1(X31,X28) | ~$less(sK5,X32) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X28),X32)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22642,f611])). 15.15/2.50 tff(f22642,plain,( 15.15/2.50 ( ! [X31 : $int,X28 : map_int_int,X29 : $int,X32 : $int,X30 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X29 | n1 != X30 | $less(X29,X30) | ~$less(sK5,X31) | $less(sK5,0) | ~partial_solution1(X31,X28) | ~$less(sK5,X32) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X28),X32)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f467,f7172])). 15.15/2.50 tff(f22768,plain,( 15.15/2.50 spl30_319 | spl30_76 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22767,f768,f609,f1729,f15680])). 15.15/2.50 tff(f22767,plain,( 15.15/2.50 ( ! [X14 : $int,X15 : $int,X12 : map_int_int,X13 : $int] : (min_elt1(sK8) != X13 | ~$less(X13,0) | ~$less(sK5,X14) | ~partial_solution1(X14,X12) | ~$less(sK5,X15) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X12),X15)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(forward_demodulation,[],[f22766,f312])). 15.15/2.50 tff(f22766,plain,( 15.15/2.50 ( ! [X14 : $int,X15 : $int,X12 : map_int_int,X13 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X13 | ~$less(X13,0) | ~$less(sK5,X14) | ~partial_solution1(X14,X12) | ~$less(sK5,X15) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X12),X15)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(subsumption_resolution,[],[f22639,f611])). 15.15/2.50 tff(f22639,plain,( 15.15/2.50 ( ! [X14 : $int,X15 : $int,X12 : map_int_int,X13 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X13 | ~$less(X13,0) | ~$less(sK5,X14) | $less(sK5,0) | ~partial_solution1(X14,X12) | ~$less(sK5,X15) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X12),X15)) ) | (spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f464,f7172])). 15.15/2.50 tff(f22760,plain,( 15.15/2.50 spl30_318 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22636,f768,f609,f489,f2154,f15669])). 15.15/2.50 tff(f15669,plain,( 15.15/2.50 spl30_318 <=> ! [X93 : map_int_int,X94 : $int] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X93),sK5) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X93),X94) | ~$less(sK5,X94) | ~partial_solution1(n1,X93) | eq_prefix1(int,t2tb2(X93),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X93))),n1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_318])])). 15.15/2.50 tff(f22636,plain,( 15.15/2.50 ( ! [X2 : map_int_int,X3 : $int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X2),sK5) | eq_prefix1(int,t2tb2(X2),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X2))),n1) | ~partial_solution1(n1,X2) | ~$less(sK5,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),X3)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2126,f7172])). 15.15/2.50 tff(f22759,plain,( 15.15/2.50 spl30_521 | spl30_318 | ~spl30_522 | ~spl30_1 | spl30_21 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f22635,f768,f609,f489,f22756,f15669,f22752])). 15.15/2.50 tff(f22635,plain,( 15.15/2.50 ( ! [X0 : map_int_int,X1 : $int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1) | ~partial_solution1(n1,X0) | mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8)) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5) | ~$less(sK5,X1) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X0),X1)) ) | (~spl30_1 | spl30_21 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f2127,f7172])). 15.15/2.50 tff(f22541,plain,( 15.15/2.50 spl30_520 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_517), 15.15/2.50 inference(avatar_split_clause,[],[f22524,f22515,f4452,f4283,f784,f22538])). 15.15/2.50 tff(f22538,plain,( 15.15/2.50 spl30_520 <=> below1(0) = pred1(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_520])])). 15.15/2.50 tff(f22515,plain,( 15.15/2.50 spl30_517 <=> is_empty(int,t2tb(pred1(sK8)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_517])])). 15.15/2.50 tff(f22524,plain,( 15.15/2.50 below1(0) = pred1(sK8) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_517)), 15.15/2.50 inference(resolution,[],[f22517,f5168])). 15.15/2.50 tff(f22517,plain,( 15.15/2.50 is_empty(int,t2tb(pred1(sK8))) | ~spl30_517), 15.15/2.50 inference(avatar_component_clause,[],[f22515])). 15.15/2.50 tff(f22536,plain,( 15.15/2.50 spl30_519 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_517), 15.15/2.50 inference(avatar_split_clause,[],[f22523,f22515,f5630,f4452,f4283,f784,f22533])). 15.15/2.50 tff(f22533,plain,( 15.15/2.50 spl30_519 <=> pred1(sK8) = succ1(pred1(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_519])])). 15.15/2.50 tff(f22523,plain,( 15.15/2.50 pred1(sK8) = succ1(pred1(sK8)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_517)), 15.15/2.50 inference(resolution,[],[f22517,f9496])). 15.15/2.50 tff(f22531,plain,( 15.15/2.50 spl30_518 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_517), 15.15/2.50 inference(avatar_split_clause,[],[f22522,f22515,f5635,f4452,f4283,f784,f22528])). 15.15/2.50 tff(f22528,plain,( 15.15/2.50 spl30_518 <=> pred1(sK8) = pred1(pred1(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_518])])). 15.15/2.50 tff(f22522,plain,( 15.15/2.50 pred1(sK8) = pred1(pred1(sK8)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_517)), 15.15/2.50 inference(resolution,[],[f22517,f9650])). 15.15/2.50 tff(f22521,plain,( 15.15/2.50 spl30_517 | ~spl30_6 | ~spl30_335), 15.15/2.50 inference(avatar_split_clause,[],[f22508,f15866,f514,f22515])). 15.15/2.50 tff(f15866,plain,( 15.15/2.50 spl30_335 <=> below1(0) = pred1(sK0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_335])])). 15.15/2.50 tff(f22508,plain,( 15.15/2.50 is_empty(int,t2tb(pred1(sK8))) | (~spl30_6 | ~spl30_335)), 15.15/2.50 inference(resolution,[],[f22450,f879])). 15.15/2.50 tff(f22450,plain,( 15.15/2.50 ( ! [X3 : $int] : (~mem(int,t2tb1(X3),t2tb(pred1(sK8)))) ) | (~spl30_6 | ~spl30_335)), 15.15/2.50 inference(subsumption_resolution,[],[f22439,f359])). 15.15/2.50 tff(f359,plain,( 15.15/2.50 ( ! [X0 : set_int,X1 : $int] : (~mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~$less(X1,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f233])). 15.15/2.50 tff(f22439,plain,( 15.15/2.50 ( ! [X3 : $int] : ($less(X3,0) | ~mem(int,t2tb1(X3),t2tb(pred1(sK8)))) ) | (~spl30_6 | ~spl30_335)), 15.15/2.50 inference(resolution,[],[f17821,f1586])). 15.15/2.50 tff(f17821,plain,( 15.15/2.50 ( ! [X7 : $int] : (~mem(int,t2tb1($sum(X7,1)),t2tb(sK8)) | $less(X7,0)) ) | (~spl30_6 | ~spl30_335)), 15.15/2.50 inference(subsumption_resolution,[],[f17820,f357])). 15.15/2.50 tff(f17820,plain,( 15.15/2.50 ( ! [X7 : $int] : (mem(int,t2tb1(X7),t2tb(below1(0))) | ~mem(int,t2tb1($sum(X7,1)),t2tb(sK8)) | $less(X7,0)) ) | (~spl30_6 | ~spl30_335)), 15.15/2.50 inference(forward_demodulation,[],[f17795,f15868])). 15.15/2.50 tff(f15868,plain,( 15.15/2.50 below1(0) = pred1(sK0) | ~spl30_335), 15.15/2.50 inference(avatar_component_clause,[],[f15866])). 15.15/2.50 tff(f17795,plain,( 15.15/2.50 ( ! [X7 : $int] : (~mem(int,t2tb1($sum(X7,1)),t2tb(sK8)) | mem(int,t2tb1(X7),t2tb(pred1(sK0))) | $less(X7,0)) ) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16347,f1688])). 15.15/2.50 tff(f1688,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : set_int] : (~mem(int,t2tb1($sum(X0,1)),t2tb(X1)) | mem(int,t2tb1(X0),t2tb(pred1(X1))) | $less(X0,0)) )), 15.15/2.50 inference(equality_resolution,[],[f471])). 15.15/2.50 tff(f471,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : set_int,X1 : $int] : ($sum(X1,1) != X2 | mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1(X2),t2tb(X0)) | $less(X1,0)) )), 15.15/2.50 inference(theory_flattening,[],[f358])). 15.15/2.50 tff(f358,plain,( 15.15/2.50 ( ! [X0 : set_int,X1 : $int] : (mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f233])). 15.15/2.50 tff(f22520,plain,( 15.15/2.50 spl30_517 | ~spl30_6 | ~spl30_335), 15.15/2.50 inference(avatar_split_clause,[],[f22507,f15866,f514,f22515])). 15.15/2.50 tff(f22507,plain,( 15.15/2.50 is_empty(int,t2tb(pred1(sK8))) | (~spl30_6 | ~spl30_335)), 15.15/2.50 inference(resolution,[],[f22450,f845])). 15.15/2.50 tff(f22519,plain,( 15.15/2.50 spl30_517 | ~spl30_6 | ~spl30_335), 15.15/2.50 inference(avatar_split_clause,[],[f22504,f15866,f514,f22515])). 15.15/2.50 tff(f22504,plain,( 15.15/2.50 is_empty(int,t2tb(pred1(sK8))) | (~spl30_6 | ~spl30_335)), 15.15/2.50 inference(resolution,[],[f22450,f324])). 15.15/2.50 tff(f22518,plain,( 15.15/2.50 spl30_517 | ~spl30_6 | ~spl30_335), 15.15/2.50 inference(avatar_split_clause,[],[f22503,f15866,f514,f22515])). 15.15/2.50 tff(f22503,plain,( 15.15/2.50 is_empty(int,t2tb(pred1(sK8))) | (~spl30_6 | ~spl30_335)), 15.15/2.50 inference(resolution,[],[f22450,f323])). 15.15/2.50 tff(f22494,plain,( 15.15/2.50 ~spl30_516 | spl30_5 | spl30_514), 15.15/2.50 inference(avatar_split_clause,[],[f22493,f22457,f509,f22485])). 15.15/2.50 tff(f22485,plain,( 15.15/2.50 spl30_516 <=> sK14 = max_elt1(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_516])])). 15.15/2.50 tff(f22493,plain,( 15.15/2.50 sK14 != max_elt1(sK8) | (spl30_5 | spl30_514)), 15.15/2.50 inference(forward_demodulation,[],[f22492,f309])). 15.15/2.50 tff(f22492,plain,( 15.15/2.50 sK14 != max_elt1(tb2t(t2tb(sK8))) | (spl30_5 | spl30_514)), 15.15/2.50 inference(subsumption_resolution,[],[f22472,f511])). 15.15/2.50 tff(f22472,plain,( 15.15/2.50 sK14 != max_elt1(tb2t(t2tb(sK8))) | is_empty(int,t2tb(sK8)) | spl30_514), 15.15/2.50 inference(constrained_resolution,[],[f22459,f845])). 15.15/2.50 tff(f22491,plain,( 15.15/2.50 ~spl30_515 | spl30_5 | spl30_514), 15.15/2.50 inference(avatar_split_clause,[],[f22490,f22457,f509,f22479])). 15.15/2.50 tff(f22479,plain,( 15.15/2.50 spl30_515 <=> min_elt1(sK8) = sK14), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_515])])). 15.15/2.50 tff(f22490,plain,( 15.15/2.50 min_elt1(sK8) != sK14 | (spl30_5 | spl30_514)), 15.15/2.50 inference(forward_demodulation,[],[f22489,f309])). 15.15/2.50 tff(f22489,plain,( 15.15/2.50 sK14 != min_elt1(tb2t(t2tb(sK8))) | (spl30_5 | spl30_514)), 15.15/2.50 inference(subsumption_resolution,[],[f22471,f511])). 15.15/2.50 tff(f22471,plain,( 15.15/2.50 sK14 != min_elt1(tb2t(t2tb(sK8))) | is_empty(int,t2tb(sK8)) | spl30_514), 15.15/2.50 inference(constrained_resolution,[],[f22459,f879])). 15.15/2.50 tff(f22488,plain,( 15.15/2.50 ~spl30_516 | spl30_5 | spl30_514), 15.15/2.50 inference(avatar_split_clause,[],[f22483,f22457,f509,f22485])). 15.15/2.50 tff(f22483,plain,( 15.15/2.50 sK14 != max_elt1(sK8) | (spl30_5 | spl30_514)), 15.15/2.50 inference(subsumption_resolution,[],[f22468,f511])). 15.15/2.50 tff(f22468,plain,( 15.15/2.50 sK14 != max_elt1(sK8) | is_empty(int,t2tb(sK8)) | spl30_514), 15.15/2.50 inference(constrained_resolution,[],[f22459,f323])). 15.15/2.50 tff(f22482,plain,( 15.15/2.50 ~spl30_515 | spl30_5 | spl30_514), 15.15/2.50 inference(avatar_split_clause,[],[f22477,f22457,f509,f22479])). 15.15/2.50 tff(f22477,plain,( 15.15/2.50 min_elt1(sK8) != sK14 | (spl30_5 | spl30_514)), 15.15/2.50 inference(subsumption_resolution,[],[f22467,f511])). 15.15/2.50 tff(f22467,plain,( 15.15/2.50 min_elt1(sK8) != sK14 | is_empty(int,t2tb(sK8)) | spl30_514), 15.15/2.50 inference(constrained_resolution,[],[f22459,f324])). 15.15/2.50 tff(f22460,plain,( 15.15/2.50 ~spl30_514 | ~spl30_6 | spl30_21 | ~spl30_30 | ~spl30_335), 15.15/2.50 inference(avatar_split_clause,[],[f22455,f15866,f697,f609,f514,f22457])). 15.15/2.50 tff(f22455,plain,( 15.15/2.50 ~mem(int,t2tb1(sK14),t2tb(sK8)) | (~spl30_6 | spl30_21 | ~spl30_30 | ~spl30_335)), 15.15/2.50 inference(subsumption_resolution,[],[f22446,f611])). 15.15/2.50 tff(f22446,plain,( 15.15/2.50 ~mem(int,t2tb1(sK14),t2tb(sK8)) | $less(sK5,0) | (~spl30_6 | ~spl30_30 | ~spl30_335)), 15.15/2.50 inference(superposition,[],[f17821,f699])). 15.15/2.50 tff(f21553,plain,( 15.15/2.50 ~spl30_513 | spl30_505), 15.15/2.50 inference(avatar_split_clause,[],[f21540,f21453,f21550])). 15.15/2.50 tff(f21550,plain,( 15.15/2.50 spl30_513 <=> $less(max_elt1(pred1(succ1(sK0))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_513])])). 15.15/2.50 tff(f21540,plain,( 15.15/2.50 ~$less(max_elt1(pred1(succ1(sK0))),0) | spl30_505), 15.15/2.50 inference(resolution,[],[f21454,f838])). 15.15/2.50 tff(f838,plain,( 15.15/2.50 ( ! [X4 : set_int] : (is_empty(int,t2tb(pred1(X4))) | ~$less(max_elt1(pred1(X4)),0)) )), 15.15/2.50 inference(resolution,[],[f323,f359])). 15.15/2.50 tff(f21548,plain,( 15.15/2.50 ~spl30_512 | spl30_505), 15.15/2.50 inference(avatar_split_clause,[],[f21539,f21453,f21545])). 15.15/2.50 tff(f21545,plain,( 15.15/2.50 spl30_512 <=> $less(min_elt1(pred1(succ1(sK0))),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_512])])). 15.15/2.50 tff(f21539,plain,( 15.15/2.50 ~$less(min_elt1(pred1(succ1(sK0))),0) | spl30_505), 15.15/2.50 inference(resolution,[],[f21454,f872])). 15.15/2.50 tff(f872,plain,( 15.15/2.50 ( ! [X4 : set_int] : (is_empty(int,t2tb(pred1(X4))) | ~$less(min_elt1(pred1(X4)),0)) )), 15.15/2.50 inference(resolution,[],[f324,f359])). 15.15/2.50 tff(f21497,plain,( 15.15/2.50 spl30_511 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_505), 15.15/2.50 inference(avatar_split_clause,[],[f21473,f21453,f4452,f4283,f784,f21494])). 15.15/2.50 tff(f21473,plain,( 15.15/2.50 below1(0) = pred1(succ1(sK0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_505)), 15.15/2.50 inference(resolution,[],[f21455,f5168])). 15.15/2.50 tff(f21492,plain,( 15.15/2.50 spl30_510 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_505), 15.15/2.50 inference(avatar_split_clause,[],[f21472,f21453,f5630,f4452,f4283,f784,f21489])). 15.15/2.50 tff(f21472,plain,( 15.15/2.50 pred1(succ1(sK0)) = succ1(pred1(succ1(sK0))) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_505)), 15.15/2.50 inference(resolution,[],[f21455,f9496])). 15.15/2.50 tff(f21487,plain,( 15.15/2.50 spl30_509 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_505), 15.15/2.50 inference(avatar_split_clause,[],[f21471,f21453,f5635,f4452,f4283,f784,f21484])). 15.15/2.50 tff(f21471,plain,( 15.15/2.50 pred1(succ1(sK0)) = pred1(pred1(succ1(sK0))) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_505)), 15.15/2.50 inference(resolution,[],[f21455,f9650])). 15.15/2.50 tff(f21482,plain,( 15.15/2.50 ~spl30_508 | spl30_485 | ~spl30_505), 15.15/2.50 inference(avatar_split_clause,[],[f21470,f21453,f20662,f21479])). 15.15/2.50 tff(f21479,plain,( 15.15/2.50 spl30_508 <=> sK2 = succ1(sK0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_508])])). 15.15/2.50 tff(f20662,plain,( 15.15/2.50 spl30_485 <=> is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_485])])). 15.15/2.50 tff(f21470,plain,( 15.15/2.50 sK2 != succ1(sK0) | (spl30_485 | ~spl30_505)), 15.15/2.50 inference(constrained_resolution,[],[f21455,f20663])). 15.15/2.50 tff(f20663,plain,( 15.15/2.50 ~is_empty(int,t2tb(pred1(sK2))) | spl30_485), 15.15/2.50 inference(avatar_component_clause,[],[f20662])). 15.15/2.50 tff(f21469,plain,( 15.15/2.50 spl30_505 | spl30_507), 15.15/2.50 inference(avatar_split_clause,[],[f21468,f21462,f21453])). 15.15/2.50 tff(f21468,plain,( 15.15/2.50 $less(min_elt1(pred1(succ1(sK0))),n1) | is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.50 inference(forward_demodulation,[],[f21444,f309])). 15.15/2.50 tff(f21444,plain,( 15.15/2.50 $less(min_elt1(tb2t(t2tb(pred1(succ1(sK0))))),n1) | is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.50 inference(resolution,[],[f16029,f879])). 15.15/2.50 tff(f21467,plain,( 15.15/2.50 spl30_505 | spl30_506), 15.15/2.50 inference(avatar_split_clause,[],[f21466,f21457,f21453])). 15.15/2.50 tff(f21466,plain,( 15.15/2.50 $less(max_elt1(pred1(succ1(sK0))),n1) | is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.50 inference(forward_demodulation,[],[f21443,f309])). 15.15/2.50 tff(f21443,plain,( 15.15/2.50 $less(max_elt1(tb2t(t2tb(pred1(succ1(sK0))))),n1) | is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.50 inference(resolution,[],[f16029,f845])). 15.15/2.50 tff(f21465,plain,( 15.15/2.50 spl30_505 | spl30_507), 15.15/2.50 inference(avatar_split_clause,[],[f21440,f21462,f21453])). 15.15/2.50 tff(f21440,plain,( 15.15/2.50 $less(min_elt1(pred1(succ1(sK0))),n1) | is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.50 inference(resolution,[],[f16029,f324])). 15.15/2.50 tff(f21460,plain,( 15.15/2.50 spl30_505 | spl30_506), 15.15/2.50 inference(avatar_split_clause,[],[f21439,f21457,f21453])). 15.15/2.50 tff(f21439,plain,( 15.15/2.50 $less(max_elt1(pred1(succ1(sK0))),n1) | is_empty(int,t2tb(pred1(succ1(sK0))))), 15.15/2.50 inference(resolution,[],[f16029,f323])). 15.15/2.50 tff(f21291,plain,( 15.15/2.50 ~spl30_169), 15.15/2.50 inference(avatar_contradiction_clause,[],[f21290])). 15.15/2.50 tff(f21290,plain,( 15.15/2.50 $false | ~spl30_169), 15.15/2.50 inference(evaluation,[],[f21289])). 15.15/2.50 tff(f21289,plain,( 15.15/2.50 0 = $sum(1,0) | ~spl30_169), 15.15/2.50 inference(equality_resolution,[],[f16812])). 15.15/2.50 tff(f16812,plain,( 15.15/2.50 ( ! [X0 : $int] : (0 != X0 | 0 = $sum(1,X0)) ) | ~spl30_169), 15.15/2.50 inference(equality_resolution,[],[f5487])). 15.15/2.50 tff(f5487,plain,( 15.15/2.50 ( ! [X2 : $int,X3 : $int] : (0 != X3 | $sum(1,X2) = X3 | 0 != X2) ) | ~spl30_169), 15.15/2.50 inference(avatar_component_clause,[],[f5486])). 15.15/2.50 tff(f5486,plain,( 15.15/2.50 spl30_169 <=> ! [X2 : $int,X3 : $int] : (0 != X2 | $sum(1,X2) = X3 | 0 != X3)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_169])])). 15.15/2.50 tff(f20909,plain,( 15.15/2.50 ~spl30_504 | ~spl30_503 | ~spl30_30 | spl30_489), 15.15/2.50 inference(avatar_split_clause,[],[f20904,f20679,f697,f20877,f20906])). 15.15/2.50 tff(f20906,plain,( 15.15/2.50 spl30_504 <=> sK5 = min_elt1(pred1(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_504])])). 15.15/2.50 tff(f20877,plain,( 15.15/2.50 spl30_503 <=> $less(sK20(sK14),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_503])])). 15.15/2.50 tff(f20679,plain,( 15.15/2.50 spl30_489 <=> $less(sK20($sum(min_elt1(pred1(sK2)),1)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_489])])). 15.15/2.50 tff(f20904,plain,( 15.15/2.50 ~$less(sK20(sK14),0) | sK5 != min_elt1(pred1(sK2)) | (~spl30_30 | spl30_489)), 15.15/2.50 inference(constrained_superposition,[],[f20681,f699])). 15.15/2.50 tff(f20681,plain,( 15.15/2.50 ~$less(sK20($sum(min_elt1(pred1(sK2)),1)),0) | spl30_489), 15.15/2.50 inference(avatar_component_clause,[],[f20679])). 15.15/2.50 tff(f20880,plain,( 15.15/2.50 ~spl30_502 | ~spl30_503 | ~spl30_30 | spl30_487), 15.15/2.50 inference(avatar_split_clause,[],[f20871,f20670,f697,f20877,f20873])). 15.15/2.50 tff(f20873,plain,( 15.15/2.50 spl30_502 <=> sK5 = max_elt1(pred1(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_502])])). 15.15/2.50 tff(f20670,plain,( 15.15/2.50 spl30_487 <=> $less(sK20($sum(max_elt1(pred1(sK2)),1)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_487])])). 15.15/2.50 tff(f20871,plain,( 15.15/2.50 ~$less(sK20(sK14),0) | sK5 != max_elt1(pred1(sK2)) | (~spl30_30 | spl30_487)), 15.15/2.50 inference(constrained_superposition,[],[f20672,f699])). 15.15/2.50 tff(f20672,plain,( 15.15/2.50 ~$less(sK20($sum(max_elt1(pred1(sK2)),1)),0) | spl30_487), 15.15/2.50 inference(avatar_component_clause,[],[f20670])). 15.15/2.50 tff(f20846,plain,( 15.15/2.50 ~spl30_501 | spl30_483 | ~spl30_494), 15.15/2.50 inference(avatar_split_clause,[],[f20841,f20719,f20621,f20843])). 15.15/2.50 tff(f20843,plain,( 15.15/2.50 spl30_501 <=> $less(sK19($sum(min_elt1(below1(0)),1)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_501])])). 15.15/2.50 tff(f20621,plain,( 15.15/2.50 spl30_483 <=> $less(sK19($sum(min_elt1(pred1(sK1)),1)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_483])])). 15.15/2.50 tff(f20719,plain,( 15.15/2.50 spl30_494 <=> below1(0) = pred1(sK1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_494])])). 15.15/2.50 tff(f20841,plain,( 15.15/2.50 ~$less(sK19($sum(min_elt1(below1(0)),1)),0) | (spl30_483 | ~spl30_494)), 15.15/2.50 inference(forward_demodulation,[],[f20623,f20721])). 15.15/2.50 tff(f20721,plain,( 15.15/2.50 below1(0) = pred1(sK1) | ~spl30_494), 15.15/2.50 inference(avatar_component_clause,[],[f20719])). 15.15/2.50 tff(f20623,plain,( 15.15/2.50 ~$less(sK19($sum(min_elt1(pred1(sK1)),1)),0) | spl30_483), 15.15/2.50 inference(avatar_component_clause,[],[f20621])). 15.15/2.50 tff(f20779,plain,( 15.15/2.50 ~spl30_500 | spl30_485), 15.15/2.50 inference(avatar_split_clause,[],[f20768,f20662,f20776])). 15.15/2.50 tff(f20776,plain,( 15.15/2.50 spl30_500 <=> $less(max_elt1(pred1(sK2)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_500])])). 15.15/2.50 tff(f20768,plain,( 15.15/2.50 ~$less(max_elt1(pred1(sK2)),0) | spl30_485), 15.15/2.50 inference(resolution,[],[f20663,f838])). 15.15/2.50 tff(f20774,plain,( 15.15/2.50 ~spl30_499 | spl30_485), 15.15/2.50 inference(avatar_split_clause,[],[f20767,f20662,f20771])). 15.15/2.50 tff(f20771,plain,( 15.15/2.50 spl30_499 <=> $less(min_elt1(pred1(sK2)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_499])])). 15.15/2.50 tff(f20767,plain,( 15.15/2.50 ~$less(min_elt1(pred1(sK2)),0) | spl30_485), 15.15/2.50 inference(resolution,[],[f20663,f872])). 15.15/2.50 tff(f20765,plain,( 15.15/2.50 spl30_498 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_485), 15.15/2.50 inference(avatar_split_clause,[],[f20748,f20662,f4452,f4283,f784,f20762])). 15.15/2.50 tff(f20762,plain,( 15.15/2.50 spl30_498 <=> below1(0) = pred1(sK2)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_498])])). 15.15/2.50 tff(f20748,plain,( 15.15/2.50 below1(0) = pred1(sK2) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_485)), 15.15/2.50 inference(resolution,[],[f20664,f5168])). 15.15/2.50 tff(f20664,plain,( 15.15/2.50 is_empty(int,t2tb(pred1(sK2))) | ~spl30_485), 15.15/2.50 inference(avatar_component_clause,[],[f20662])). 15.15/2.50 tff(f20760,plain,( 15.15/2.50 spl30_497 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_485), 15.15/2.50 inference(avatar_split_clause,[],[f20747,f20662,f5630,f4452,f4283,f784,f20757])). 15.15/2.50 tff(f20757,plain,( 15.15/2.50 spl30_497 <=> pred1(sK2) = succ1(pred1(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_497])])). 15.15/2.50 tff(f20747,plain,( 15.15/2.50 pred1(sK2) = succ1(pred1(sK2)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_485)), 15.15/2.50 inference(resolution,[],[f20664,f9496])). 15.15/2.50 tff(f20755,plain,( 15.15/2.50 spl30_496 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_485), 15.15/2.50 inference(avatar_split_clause,[],[f20746,f20662,f5635,f4452,f4283,f784,f20752])). 15.15/2.50 tff(f20752,plain,( 15.15/2.50 spl30_496 <=> pred1(sK2) = pred1(pred1(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_496])])). 15.15/2.50 tff(f20746,plain,( 15.15/2.50 pred1(sK2) = pred1(pred1(sK2)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_485)), 15.15/2.50 inference(resolution,[],[f20664,f9650])). 15.15/2.50 tff(f20745,plain,( 15.15/2.50 spl30_495 | ~spl30_151), 15.15/2.50 inference(avatar_split_clause,[],[f20740,f4865,f20742])). 15.15/2.50 tff(f20742,plain,( 15.15/2.50 spl30_495 <=> diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)) = empty(int)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_495])])). 15.15/2.50 tff(f4865,plain,( 15.15/2.50 spl30_151 <=> infix_eqeq(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_151])])). 15.15/2.50 tff(f20740,plain,( 15.15/2.50 diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)) = empty(int) | ~spl30_151), 15.15/2.50 inference(subsumption_resolution,[],[f20739,f370])). 15.15/2.50 tff(f20739,plain,( 15.15/2.50 diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)) = empty(int) | ~sort1(set(int),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~spl30_151), 15.15/2.50 inference(subsumption_resolution,[],[f20730,f317])). 15.15/2.50 tff(f20730,plain,( 15.15/2.50 diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)) = empty(int) | ~sort1(set(int),empty(int)) | ~sort1(set(int),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~spl30_151), 15.15/2.50 inference(resolution,[],[f4867,f392])). 15.15/2.50 tff(f4867,plain,( 15.15/2.50 infix_eqeq(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int)) | ~spl30_151), 15.15/2.50 inference(avatar_component_clause,[],[f4865])). 15.15/2.50 tff(f20722,plain,( 15.15/2.50 spl30_494 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_479), 15.15/2.50 inference(avatar_split_clause,[],[f20705,f20604,f4452,f4283,f784,f20719])). 15.15/2.50 tff(f20604,plain,( 15.15/2.50 spl30_479 <=> is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_479])])). 15.15/2.50 tff(f20705,plain,( 15.15/2.50 below1(0) = pred1(sK1) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_479)), 15.15/2.50 inference(resolution,[],[f20606,f5168])). 15.15/2.50 tff(f20606,plain,( 15.15/2.50 is_empty(int,t2tb(pred1(sK1))) | ~spl30_479), 15.15/2.50 inference(avatar_component_clause,[],[f20604])). 15.15/2.50 tff(f20717,plain,( 15.15/2.50 spl30_493 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_479), 15.15/2.50 inference(avatar_split_clause,[],[f20704,f20604,f5630,f4452,f4283,f784,f20714])). 15.15/2.50 tff(f20714,plain,( 15.15/2.50 spl30_493 <=> pred1(sK1) = succ1(pred1(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_493])])). 15.15/2.50 tff(f20704,plain,( 15.15/2.50 pred1(sK1) = succ1(pred1(sK1)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_479)), 15.15/2.50 inference(resolution,[],[f20606,f9496])). 15.15/2.50 tff(f20712,plain,( 15.15/2.50 spl30_492 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_479), 15.15/2.50 inference(avatar_split_clause,[],[f20703,f20604,f5635,f4452,f4283,f784,f20709])). 15.15/2.50 tff(f20709,plain,( 15.15/2.50 spl30_492 <=> pred1(sK1) = pred1(pred1(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_492])])). 15.15/2.50 tff(f20703,plain,( 15.15/2.50 pred1(sK1) = pred1(pred1(sK1)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_479)), 15.15/2.50 inference(resolution,[],[f20606,f9650])). 15.15/2.50 tff(f20702,plain,( 15.15/2.50 ~spl30_491 | spl30_479), 15.15/2.50 inference(avatar_split_clause,[],[f20691,f20604,f20699])). 15.15/2.50 tff(f20699,plain,( 15.15/2.50 spl30_491 <=> $less(max_elt1(pred1(sK1)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_491])])). 15.15/2.50 tff(f20691,plain,( 15.15/2.50 ~$less(max_elt1(pred1(sK1)),0) | spl30_479), 15.15/2.50 inference(resolution,[],[f20605,f838])). 15.15/2.50 tff(f20605,plain,( 15.15/2.50 ~is_empty(int,t2tb(pred1(sK1))) | spl30_479), 15.15/2.50 inference(avatar_component_clause,[],[f20604])). 15.15/2.50 tff(f20697,plain,( 15.15/2.50 ~spl30_490 | spl30_479), 15.15/2.50 inference(avatar_split_clause,[],[f20690,f20604,f20694])). 15.15/2.50 tff(f20694,plain,( 15.15/2.50 spl30_490 <=> $less(min_elt1(pred1(sK1)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_490])])). 15.15/2.50 tff(f20690,plain,( 15.15/2.50 ~$less(min_elt1(pred1(sK1)),0) | spl30_479), 15.15/2.50 inference(resolution,[],[f20605,f872])). 15.15/2.50 tff(f20688,plain,( 15.15/2.50 spl30_485 | ~spl30_489 | spl30_488), 15.15/2.50 inference(avatar_split_clause,[],[f20687,f20675,f20679,f20662])). 15.15/2.50 tff(f20675,plain,( 15.15/2.50 spl30_488 <=> $less($sum(min_elt1(pred1(sK2)),1),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_488])])). 15.15/2.50 tff(f20687,plain,( 15.15/2.50 $less($sum(min_elt1(pred1(sK2)),1),0) | ~$less(sK20($sum(min_elt1(pred1(sK2)),1)),0) | is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 inference(forward_demodulation,[],[f20686,f309])). 15.15/2.50 tff(f20686,plain,( 15.15/2.50 ~$less(sK20($sum(min_elt1(pred1(sK2)),1)),0) | $less($sum(min_elt1(tb2t(t2tb(pred1(sK2)))),1),0) | is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 inference(forward_demodulation,[],[f20653,f309])). 15.15/2.50 tff(f20653,plain,( 15.15/2.50 ~$less(sK20($sum(min_elt1(tb2t(t2tb(pred1(sK2)))),1)),0) | $less($sum(min_elt1(tb2t(t2tb(pred1(sK2)))),1),0) | is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 inference(resolution,[],[f3529,f879])). 15.15/2.50 tff(f3529,plain,( 15.15/2.50 ( ! [X31 : $int] : (~mem(int,t2tb1(X31),t2tb(pred1(sK2))) | ~$less(sK20($sum(X31,1)),0) | $less($sum(X31,1),0)) )), 15.15/2.50 inference(resolution,[],[f1586,f1115])). 15.15/2.50 tff(f1115,plain,( 15.15/2.50 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK2)) | ~$less(sK20(X0),0) | $less(X0,0)) )), 15.15/2.50 inference(equality_resolution,[],[f453])). 15.15/2.50 tff(f453,plain,( 15.15/2.50 ( ! [X28 : $int,X29 : $int] : (sK20(X28) != X29 | ~mem(int,t2tb1(X28),t2tb(sK2)) | ~$less(X29,0) | $less(X28,0)) )), 15.15/2.50 inference(theory_flattening,[],[f263])). 15.15/2.50 tff(f263,plain,( 15.15/2.50 ( ! [X28 : $int] : (~mem(int,t2tb1(X28),t2tb(sK2)) | ~$less(sK20(X28),0) | $less(X28,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f219])). 15.15/2.50 tff(f20685,plain,( 15.15/2.50 spl30_485 | ~spl30_487 | spl30_486), 15.15/2.50 inference(avatar_split_clause,[],[f20684,f20666,f20670,f20662])). 15.15/2.50 tff(f20666,plain,( 15.15/2.50 spl30_486 <=> $less($sum(max_elt1(pred1(sK2)),1),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_486])])). 15.15/2.50 tff(f20684,plain,( 15.15/2.50 $less($sum(max_elt1(pred1(sK2)),1),0) | ~$less(sK20($sum(max_elt1(pred1(sK2)),1)),0) | is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 inference(forward_demodulation,[],[f20683,f309])). 15.15/2.50 tff(f20683,plain,( 15.15/2.50 ~$less(sK20($sum(max_elt1(pred1(sK2)),1)),0) | $less($sum(max_elt1(tb2t(t2tb(pred1(sK2)))),1),0) | is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 inference(forward_demodulation,[],[f20652,f309])). 15.15/2.50 tff(f20652,plain,( 15.15/2.50 ~$less(sK20($sum(max_elt1(tb2t(t2tb(pred1(sK2)))),1)),0) | $less($sum(max_elt1(tb2t(t2tb(pred1(sK2)))),1),0) | is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 inference(resolution,[],[f3529,f845])). 15.15/2.50 tff(f20682,plain,( 15.15/2.50 spl30_485 | spl30_488 | ~spl30_489), 15.15/2.50 inference(avatar_split_clause,[],[f20649,f20679,f20675,f20662])). 15.15/2.50 tff(f20649,plain,( 15.15/2.50 ~$less(sK20($sum(min_elt1(pred1(sK2)),1)),0) | $less($sum(min_elt1(pred1(sK2)),1),0) | is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 inference(resolution,[],[f3529,f324])). 15.15/2.50 tff(f20673,plain,( 15.15/2.50 spl30_485 | spl30_486 | ~spl30_487), 15.15/2.50 inference(avatar_split_clause,[],[f20648,f20670,f20666,f20662])). 15.15/2.50 tff(f20648,plain,( 15.15/2.50 ~$less(sK20($sum(max_elt1(pred1(sK2)),1)),0) | $less($sum(max_elt1(pred1(sK2)),1),0) | is_empty(int,t2tb(pred1(sK2)))), 15.15/2.50 inference(resolution,[],[f3529,f323])). 15.15/2.50 tff(f20647,plain,( 15.15/2.50 ~spl30_484 | ~spl30_30 | spl30_120 | ~spl30_480), 15.15/2.50 inference(avatar_split_clause,[],[f20642,f20608,f2722,f697,f20644])). 15.15/2.50 tff(f20644,plain,( 15.15/2.50 spl30_484 <=> sK5 = max_elt1(pred1(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_484])])). 15.15/2.50 tff(f2722,plain,( 15.15/2.50 spl30_120 <=> $less(sK14,0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_120])])). 15.15/2.50 tff(f20608,plain,( 15.15/2.50 spl30_480 <=> $less($sum(max_elt1(pred1(sK1)),1),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_480])])). 15.15/2.50 tff(f20642,plain,( 15.15/2.50 sK5 != max_elt1(pred1(sK1)) | (~spl30_30 | spl30_120 | ~spl30_480)), 15.15/2.50 inference(subsumption_resolution,[],[f20639,f2724])). 15.15/2.50 tff(f2724,plain,( 15.15/2.50 ~$less(sK14,0) | spl30_120), 15.15/2.50 inference(avatar_component_clause,[],[f2722])). 15.15/2.50 tff(f20639,plain,( 15.15/2.50 $less(sK14,0) | sK5 != max_elt1(pred1(sK1)) | (~spl30_30 | ~spl30_480)), 15.15/2.50 inference(constrained_superposition,[],[f20610,f699])). 15.15/2.50 tff(f20610,plain,( 15.15/2.50 $less($sum(max_elt1(pred1(sK1)),1),0) | ~spl30_480), 15.15/2.50 inference(avatar_component_clause,[],[f20608])). 15.15/2.50 tff(f20641,plain,( 15.15/2.50 ~spl30_479 | ~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_364 | ~spl30_480), 15.15/2.50 inference(avatar_split_clause,[],[f20631,f20608,f16325,f4452,f4283,f784,f20604])). 15.15/2.50 tff(f16325,plain,( 15.15/2.50 spl30_364 <=> $less($sum(max_elt1(below1(0)),1),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_364])])). 15.15/2.50 tff(f20631,plain,( 15.15/2.50 ~is_empty(int,t2tb(pred1(sK1))) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_364 | ~spl30_480)), 15.15/2.50 inference(resolution,[],[f20610,f19080])). 15.15/2.50 tff(f19080,plain,( 15.15/2.50 ( ! [X0 : set_int] : (~$less($sum(max_elt1(X0),1),0) | ~is_empty(int,t2tb(X0))) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_364)), 15.15/2.50 inference(superposition,[],[f16466,f309])). 15.15/2.50 tff(f16466,plain,( 15.15/2.50 ( ! [X1 : uni] : (~$less($sum(max_elt1(tb2t(X1)),1),0) | ~is_empty(int,X1)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_364)), 15.15/2.50 inference(superposition,[],[f16327,f5145])). 15.15/2.50 tff(f16327,plain,( 15.15/2.50 ~$less($sum(max_elt1(below1(0)),1),0) | spl30_364), 15.15/2.50 inference(avatar_component_clause,[],[f16325])). 15.15/2.50 tff(f20630,plain,( 15.15/2.50 spl30_479 | ~spl30_483 | spl30_482), 15.15/2.50 inference(avatar_split_clause,[],[f20629,f20617,f20621,f20604])). 15.15/2.50 tff(f20617,plain,( 15.15/2.50 spl30_482 <=> $less($sum(min_elt1(pred1(sK1)),1),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_482])])). 15.15/2.50 tff(f20629,plain,( 15.15/2.50 $less($sum(min_elt1(pred1(sK1)),1),0) | ~$less(sK19($sum(min_elt1(pred1(sK1)),1)),0) | is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 inference(forward_demodulation,[],[f20628,f309])). 15.15/2.50 tff(f20628,plain,( 15.15/2.50 ~$less(sK19($sum(min_elt1(pred1(sK1)),1)),0) | $less($sum(min_elt1(tb2t(t2tb(pred1(sK1)))),1),0) | is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 inference(forward_demodulation,[],[f20595,f309])). 15.15/2.50 tff(f20595,plain,( 15.15/2.50 ~$less(sK19($sum(min_elt1(tb2t(t2tb(pred1(sK1)))),1)),0) | $less($sum(min_elt1(tb2t(t2tb(pred1(sK1)))),1),0) | is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 inference(resolution,[],[f3525,f879])). 15.15/2.50 tff(f3525,plain,( 15.15/2.50 ( ! [X27 : $int] : (~mem(int,t2tb1(X27),t2tb(pred1(sK1))) | ~$less(sK19($sum(X27,1)),0) | $less($sum(X27,1),0)) )), 15.15/2.50 inference(resolution,[],[f1586,f1110])). 15.15/2.50 tff(f1110,plain,( 15.15/2.50 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK1)) | ~$less(sK19(X0),0) | $less(X0,0)) )), 15.15/2.50 inference(equality_resolution,[],[f448])). 15.15/2.50 tff(f448,plain,( 15.15/2.50 ( ! [X26 : $int,X25 : $int] : (sK19(X25) != X26 | ~mem(int,t2tb1(X25),t2tb(sK1)) | ~$less(X26,0) | $less(X25,0)) )), 15.15/2.50 inference(theory_flattening,[],[f269])). 15.15/2.50 tff(f269,plain,( 15.15/2.50 ( ! [X25 : $int] : (~mem(int,t2tb1(X25),t2tb(sK1)) | ~$less(sK19(X25),0) | $less(X25,0)) )), 15.15/2.50 inference(cnf_transformation,[],[f219])). 15.15/2.50 tff(f20627,plain,( 15.15/2.50 spl30_479 | ~spl30_481 | spl30_480), 15.15/2.50 inference(avatar_split_clause,[],[f20626,f20608,f20612,f20604])). 15.15/2.50 tff(f20612,plain,( 15.15/2.50 spl30_481 <=> $less(sK19($sum(max_elt1(pred1(sK1)),1)),0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_481])])). 15.15/2.50 tff(f20626,plain,( 15.15/2.50 $less($sum(max_elt1(pred1(sK1)),1),0) | ~$less(sK19($sum(max_elt1(pred1(sK1)),1)),0) | is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 inference(forward_demodulation,[],[f20625,f309])). 15.15/2.50 tff(f20625,plain,( 15.15/2.50 ~$less(sK19($sum(max_elt1(pred1(sK1)),1)),0) | $less($sum(max_elt1(tb2t(t2tb(pred1(sK1)))),1),0) | is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 inference(forward_demodulation,[],[f20594,f309])). 15.15/2.50 tff(f20594,plain,( 15.15/2.50 ~$less(sK19($sum(max_elt1(tb2t(t2tb(pred1(sK1)))),1)),0) | $less($sum(max_elt1(tb2t(t2tb(pred1(sK1)))),1),0) | is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 inference(resolution,[],[f3525,f845])). 15.15/2.50 tff(f20624,plain,( 15.15/2.50 spl30_479 | spl30_482 | ~spl30_483), 15.15/2.50 inference(avatar_split_clause,[],[f20591,f20621,f20617,f20604])). 15.15/2.50 tff(f20591,plain,( 15.15/2.50 ~$less(sK19($sum(min_elt1(pred1(sK1)),1)),0) | $less($sum(min_elt1(pred1(sK1)),1),0) | is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 inference(resolution,[],[f3525,f324])). 15.15/2.50 tff(f20615,plain,( 15.15/2.50 spl30_479 | spl30_480 | ~spl30_481), 15.15/2.50 inference(avatar_split_clause,[],[f20590,f20612,f20608,f20604])). 15.15/2.50 tff(f20590,plain,( 15.15/2.50 ~$less(sK19($sum(max_elt1(pred1(sK1)),1)),0) | $less($sum(max_elt1(pred1(sK1)),1),0) | is_empty(int,t2tb(pred1(sK1)))), 15.15/2.50 inference(resolution,[],[f3525,f323])). 15.15/2.50 tff(f20449,plain,( 15.15/2.50 spl30_100 | spl30_478 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20445,f657,f590,f20447,f2193])). 15.15/2.50 tff(f2193,plain,( 15.15/2.50 spl30_100 <=> ! [X1 : $int] : (n1 != X1 | ~$less(sK16,X1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_100])])). 15.15/2.50 tff(f20447,plain,( 15.15/2.50 spl30_478 <=> ! [X258 : map_int_int,X259 : $int,X260 : $int,X255 : map_int_int,X256 : $int] : (~eq_prefix1(int,t2tb2(X255),t2tb2(X258),sK16) | ~eq_prefix1(int,t2tb2(X255),t2tb2(sK13),X260) | ~$less(sK16,X260) | lt_sol1(X255,X258) | tb2t1(get(int,int,t2tb2(X258),t2tb1(sK16))) != X259 | sK15 != X256 | ~$less(X256,X259))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_478])])). 15.15/2.50 tff(f20445,plain,( 15.15/2.50 ( ! [X260 : $int,X259 : $int,X258 : map_int_int,X257 : $int,X256 : $int,X255 : map_int_int] : (~eq_prefix1(int,t2tb2(X255),t2tb2(X258),sK16) | ~$less(sK16,X257) | sK15 != X256 | n1 != X257 | tb2t1(get(int,int,t2tb2(X258),t2tb1(sK16))) != X259 | lt_sol1(X255,X258) | ~$less(X256,X259) | ~$less(sK16,X260) | ~eq_prefix1(int,t2tb2(X255),t2tb2(sK13),X260)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20444,f312])). 15.15/2.50 tff(f20444,plain,( 15.15/2.50 ( ! [X260 : $int,X259 : $int,X258 : map_int_int,X257 : $int,X256 : $int,X255 : map_int_int] : (~$less(sK16,X257) | sK15 != X256 | n1 != X257 | tb2t1(get(int,int,t2tb2(X258),t2tb1(sK16))) != X259 | lt_sol1(X255,X258) | ~$less(X256,X259) | ~eq_prefix1(int,t2tb2(X255),t2tb2(X258),tb2t1(t2tb1(sK16))) | ~$less(sK16,X260) | ~eq_prefix1(int,t2tb2(X255),t2tb2(sK13),X260)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20443,f312])). 15.15/2.50 tff(f20443,plain,( 15.15/2.50 ( ! [X260 : $int,X259 : $int,X258 : map_int_int,X257 : $int,X256 : $int,X255 : map_int_int] : (sK15 != X256 | n1 != X257 | ~$less(tb2t1(t2tb1(sK16)),X257) | tb2t1(get(int,int,t2tb2(X258),t2tb1(sK16))) != X259 | lt_sol1(X255,X258) | ~$less(X256,X259) | ~eq_prefix1(int,t2tb2(X255),t2tb2(X258),tb2t1(t2tb1(sK16))) | ~$less(sK16,X260) | ~eq_prefix1(int,t2tb2(X255),t2tb2(sK13),X260)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20442,f592])). 15.15/2.50 tff(f20442,plain,( 15.15/2.50 ( ! [X260 : $int,X259 : $int,X258 : map_int_int,X257 : $int,X256 : $int,X255 : map_int_int] : ($less(sK16,0) | sK15 != X256 | n1 != X257 | ~$less(tb2t1(t2tb1(sK16)),X257) | tb2t1(get(int,int,t2tb2(X258),t2tb1(sK16))) != X259 | lt_sol1(X255,X258) | ~$less(X256,X259) | ~eq_prefix1(int,t2tb2(X255),t2tb2(X258),tb2t1(t2tb1(sK16))) | ~$less(sK16,X260) | ~eq_prefix1(int,t2tb2(X255),t2tb2(sK13),X260)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20441,f312])). 15.15/2.50 tff(f20441,plain,( 15.15/2.50 ( ! [X260 : $int,X259 : $int,X258 : map_int_int,X257 : $int,X256 : $int,X255 : map_int_int] : (sK15 != X256 | $less(tb2t1(t2tb1(sK16)),0) | n1 != X257 | ~$less(tb2t1(t2tb1(sK16)),X257) | tb2t1(get(int,int,t2tb2(X258),t2tb1(sK16))) != X259 | lt_sol1(X255,X258) | ~$less(X256,X259) | ~eq_prefix1(int,t2tb2(X255),t2tb2(X258),tb2t1(t2tb1(sK16))) | ~$less(sK16,X260) | ~eq_prefix1(int,t2tb2(X255),t2tb2(sK13),X260)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20261,f312])). 15.15/2.50 tff(f20261,plain,( 15.15/2.50 ( ! [X260 : $int,X259 : $int,X258 : map_int_int,X257 : $int,X256 : $int,X255 : map_int_int] : (tb2t1(t2tb1(sK15)) != X256 | $less(tb2t1(t2tb1(sK16)),0) | n1 != X257 | ~$less(tb2t1(t2tb1(sK16)),X257) | tb2t1(get(int,int,t2tb2(X258),t2tb1(sK16))) != X259 | lt_sol1(X255,X258) | ~$less(X256,X259) | ~eq_prefix1(int,t2tb2(X255),t2tb2(X258),tb2t1(t2tb1(sK16))) | ~$less(sK16,X260) | ~eq_prefix1(int,t2tb2(X255),t2tb2(sK13),X260)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2182,f1798])). 15.15/2.50 tff(f20431,plain,( 15.15/2.50 spl30_477 | spl30_88 | spl30_291 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20430,f657,f590,f10951,f1967,f20423])). 15.15/2.50 tff(f20423,plain,( 15.15/2.50 spl30_477 <=> ! [X208 : $int,X202 : uni,X207 : $int] : (~$less(sK16,X207) | ~eq_prefix1(int,X202,t2tb2(sK13),X208) | ~$less(sK16,X208) | ~eq_prefix1(int,X202,t2tb2(sK6),X207))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_477])])). 15.15/2.50 tff(f1967,plain,( 15.15/2.50 spl30_88 <=> ! [X3 : $int] : (sK5 != X3 | ~$less(sK16,X3))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_88])])). 15.15/2.50 tff(f20430,plain,( 15.15/2.50 ( ! [X222 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : uni,X217 : $int] : (sK15 != X217 | sK5 != X218 | $sum($sum(X219,X218),$uminus(sK16)) != X217 | sK5 != X220 | ~$less(sK16,X220) | mem(int,t2tb1(X219),t2tb(sK2)) | $less(X219,0) | ~$less(sK16,X221) | ~eq_prefix1(int,X216,t2tb2(sK6),X221) | ~$less(sK16,X222) | ~eq_prefix1(int,X216,t2tb2(sK13),X222)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20429,f312])). 15.15/2.50 tff(f20429,plain,( 15.15/2.50 ( ! [X222 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : uni,X217 : $int] : (tb2t1(t2tb1(sK15)) != X217 | sK5 != X218 | $sum($sum(X219,X218),$uminus(sK16)) != X217 | sK5 != X220 | ~$less(sK16,X220) | mem(int,t2tb1(X219),t2tb(sK2)) | $less(X219,0) | ~$less(sK16,X221) | ~eq_prefix1(int,X216,t2tb2(sK6),X221) | ~$less(sK16,X222) | ~eq_prefix1(int,X216,t2tb2(sK13),X222)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20254,f592])). 15.15/2.50 tff(f20254,plain,( 15.15/2.50 ( ! [X222 : $int,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : uni,X217 : $int] : (tb2t1(t2tb1(sK15)) != X217 | sK5 != X218 | $sum($sum(X219,X218),$uminus(sK16)) != X217 | sK5 != X220 | ~$less(sK16,X220) | $less(sK16,0) | mem(int,t2tb1(X219),t2tb(sK2)) | $less(X219,0) | ~$less(sK16,X221) | ~eq_prefix1(int,X216,t2tb2(sK6),X221) | ~$less(sK16,X222) | ~eq_prefix1(int,X216,t2tb2(sK13),X222)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1991,f1798])). 15.15/2.50 tff(f20428,plain,( 15.15/2.50 spl30_476 | spl30_88 | spl30_291 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20427,f657,f590,f10951,f1967,f20417])). 15.15/2.50 tff(f20427,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : $int,X211 : $int,X209 : uni,X214 : $int] : (sK15 != X210 | sK5 != X211 | $sum($sum(X212,X211),$uminus(sK16)) != X210 | sK5 != X213 | ~$less(sK16,X213) | mem(int,t2tb1(X212),t2tb(sK2)) | $less(X212,0) | ~$less(sK16,X214) | ~eq_prefix1(int,t2tb2(sK6),X209,X214) | ~$less(sK16,X215) | ~eq_prefix1(int,X209,t2tb2(sK13),X215)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20426,f312])). 15.15/2.50 tff(f20426,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : $int,X211 : $int,X209 : uni,X214 : $int] : (tb2t1(t2tb1(sK15)) != X210 | sK5 != X211 | $sum($sum(X212,X211),$uminus(sK16)) != X210 | sK5 != X213 | ~$less(sK16,X213) | mem(int,t2tb1(X212),t2tb(sK2)) | $less(X212,0) | ~$less(sK16,X214) | ~eq_prefix1(int,t2tb2(sK6),X209,X214) | ~$less(sK16,X215) | ~eq_prefix1(int,X209,t2tb2(sK13),X215)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20253,f592])). 15.15/2.50 tff(f20253,plain,( 15.15/2.50 ( ! [X215 : $int,X212 : $int,X213 : $int,X210 : $int,X211 : $int,X209 : uni,X214 : $int] : (tb2t1(t2tb1(sK15)) != X210 | sK5 != X211 | $sum($sum(X212,X211),$uminus(sK16)) != X210 | sK5 != X213 | ~$less(sK16,X213) | $less(sK16,0) | mem(int,t2tb1(X212),t2tb(sK2)) | $less(X212,0) | ~$less(sK16,X214) | ~eq_prefix1(int,t2tb2(sK6),X209,X214) | ~$less(sK16,X215) | ~eq_prefix1(int,X209,t2tb2(sK13),X215)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1990,f1798])). 15.15/2.50 tff(f20425,plain,( 15.15/2.50 spl30_477 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20421,f657,f590,f1970,f1967,f20423])). 15.15/2.50 tff(f20421,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : uni,X203 : $int,X208 : $int,X206 : $int,X207 : $int,X204 : $int] : (sK15 != X203 | sK5 != X204 | $sum($sum(X205,sK16),$uminus(X204)) != X203 | sK5 != X206 | ~$less(sK16,X206) | mem(int,t2tb1(X205),t2tb(sK1)) | $less(X205,0) | ~$less(sK16,X207) | ~eq_prefix1(int,X202,t2tb2(sK6),X207) | ~$less(sK16,X208) | ~eq_prefix1(int,X202,t2tb2(sK13),X208)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20420,f312])). 15.15/2.50 tff(f20420,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : uni,X203 : $int,X208 : $int,X206 : $int,X207 : $int,X204 : $int] : (tb2t1(t2tb1(sK15)) != X203 | sK5 != X204 | $sum($sum(X205,sK16),$uminus(X204)) != X203 | sK5 != X206 | ~$less(sK16,X206) | mem(int,t2tb1(X205),t2tb(sK1)) | $less(X205,0) | ~$less(sK16,X207) | ~eq_prefix1(int,X202,t2tb2(sK6),X207) | ~$less(sK16,X208) | ~eq_prefix1(int,X202,t2tb2(sK13),X208)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20252,f592])). 15.15/2.50 tff(f20252,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : uni,X203 : $int,X208 : $int,X206 : $int,X207 : $int,X204 : $int] : (tb2t1(t2tb1(sK15)) != X203 | sK5 != X204 | $sum($sum(X205,sK16),$uminus(X204)) != X203 | $less(sK16,0) | sK5 != X206 | ~$less(sK16,X206) | mem(int,t2tb1(X205),t2tb(sK1)) | $less(X205,0) | ~$less(sK16,X207) | ~eq_prefix1(int,X202,t2tb2(sK6),X207) | ~$less(sK16,X208) | ~eq_prefix1(int,X202,t2tb2(sK13),X208)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1959,f1798])). 15.15/2.50 tff(f20419,plain,( 15.15/2.50 spl30_476 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20415,f657,f590,f1970,f1967,f20417])). 15.15/2.50 tff(f20415,plain,( 15.15/2.50 ( ! [X195 : uni,X200 : $int,X198 : $int,X201 : $int,X199 : $int,X196 : $int,X197 : $int] : (sK15 != X196 | sK5 != X197 | $sum($sum(X198,sK16),$uminus(X197)) != X196 | sK5 != X199 | ~$less(sK16,X199) | mem(int,t2tb1(X198),t2tb(sK1)) | $less(X198,0) | ~$less(sK16,X200) | ~eq_prefix1(int,t2tb2(sK6),X195,X200) | ~$less(sK16,X201) | ~eq_prefix1(int,X195,t2tb2(sK13),X201)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20414,f312])). 15.15/2.50 tff(f20414,plain,( 15.15/2.50 ( ! [X195 : uni,X200 : $int,X198 : $int,X201 : $int,X199 : $int,X196 : $int,X197 : $int] : (tb2t1(t2tb1(sK15)) != X196 | sK5 != X197 | $sum($sum(X198,sK16),$uminus(X197)) != X196 | sK5 != X199 | ~$less(sK16,X199) | mem(int,t2tb1(X198),t2tb(sK1)) | $less(X198,0) | ~$less(sK16,X200) | ~eq_prefix1(int,t2tb2(sK6),X195,X200) | ~$less(sK16,X201) | ~eq_prefix1(int,X195,t2tb2(sK13),X201)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20251,f592])). 15.15/2.50 tff(f20251,plain,( 15.15/2.50 ( ! [X195 : uni,X200 : $int,X198 : $int,X201 : $int,X199 : $int,X196 : $int,X197 : $int] : (tb2t1(t2tb1(sK15)) != X196 | sK5 != X197 | $sum($sum(X198,sK16),$uminus(X197)) != X196 | $less(sK16,0) | sK5 != X199 | ~$less(sK16,X199) | mem(int,t2tb1(X198),t2tb(sK1)) | $less(X198,0) | ~$less(sK16,X200) | ~eq_prefix1(int,t2tb2(sK6),X195,X200) | ~$less(sK16,X201) | ~eq_prefix1(int,X195,t2tb2(sK13),X201)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1958,f1798])). 15.15/2.50 tff(f20401,plain,( 15.15/2.50 spl30_289 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20400,f657,f590,f1970,f1967,f10830])). 15.15/2.50 tff(f10830,plain,( 15.15/2.50 spl30_289 <=> ! [X4 : $int] : (~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X4))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_289])])). 15.15/2.50 tff(f20400,plain,( 15.15/2.50 ( ! [X155 : $int,X153 : $int,X156 : $int,X157 : $int,X154 : $int] : (sK15 != X153 | sK5 != X154 | $sum($sum(X155,sK16),$uminus(X154)) != X153 | sK5 != X156 | ~$less(sK16,X156) | mem(int,t2tb1(X155),t2tb(sK1)) | $less(X155,0) | ~$less(sK16,X157) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X157)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20399,f312])). 15.15/2.50 tff(f20399,plain,( 15.15/2.50 ( ! [X155 : $int,X153 : $int,X156 : $int,X157 : $int,X154 : $int] : (tb2t1(t2tb1(sK15)) != X153 | sK5 != X154 | $sum($sum(X155,sK16),$uminus(X154)) != X153 | sK5 != X156 | ~$less(sK16,X156) | mem(int,t2tb1(X155),t2tb(sK1)) | $less(X155,0) | ~$less(sK16,X157) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X157)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20243,f592])). 15.15/2.50 tff(f20243,plain,( 15.15/2.50 ( ! [X155 : $int,X153 : $int,X156 : $int,X157 : $int,X154 : $int] : (tb2t1(t2tb1(sK15)) != X153 | sK5 != X154 | $sum($sum(X155,sK16),$uminus(X154)) != X153 | $less(sK16,0) | sK5 != X156 | ~$less(sK16,X156) | mem(int,t2tb1(X155),t2tb(sK1)) | $less(X155,0) | ~$less(sK16,X157) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X157)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f446,f1798])). 15.15/2.50 tff(f20398,plain,( 15.15/2.50 spl30_289 | spl30_88 | spl30_291 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20397,f657,f590,f10951,f1967,f10830])). 15.15/2.50 tff(f20397,plain,( 15.15/2.50 ( ! [X152 : $int,X150 : $int,X151 : $int,X148 : $int,X149 : $int] : (sK15 != X148 | sK5 != X149 | $sum($sum(X150,X149),$uminus(sK16)) != X148 | sK5 != X151 | ~$less(sK16,X151) | mem(int,t2tb1(X150),t2tb(sK2)) | $less(X150,0) | ~$less(sK16,X152) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X152)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20396,f312])). 15.15/2.50 tff(f20396,plain,( 15.15/2.50 ( ! [X152 : $int,X150 : $int,X151 : $int,X148 : $int,X149 : $int] : (tb2t1(t2tb1(sK15)) != X148 | sK5 != X149 | $sum($sum(X150,X149),$uminus(sK16)) != X148 | sK5 != X151 | ~$less(sK16,X151) | mem(int,t2tb1(X150),t2tb(sK2)) | $less(X150,0) | ~$less(sK16,X152) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X152)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20242,f592])). 15.15/2.50 tff(f20242,plain,( 15.15/2.50 ( ! [X152 : $int,X150 : $int,X151 : $int,X148 : $int,X149 : $int] : (tb2t1(t2tb1(sK15)) != X148 | sK5 != X149 | $sum($sum(X150,X149),$uminus(sK16)) != X148 | sK5 != X151 | ~$less(sK16,X151) | $less(sK16,0) | mem(int,t2tb1(X150),t2tb(sK2)) | $less(X150,0) | ~$less(sK16,X152) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X152)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f450,f1798])). 15.15/2.50 tff(f20395,plain,( 15.15/2.50 spl30_289 | ~spl30_456 | spl30_19 | ~spl30_26 | ~spl30_61), 15.15/2.50 inference(avatar_split_clause,[],[f20394,f1431,f657,f590,f19578,f10830])). 15.15/2.50 tff(f20394,plain,( 15.15/2.50 ( ! [X147 : $int] : (~$less(sK16,sK5) | ~$less(sK16,X147) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X147)) ) | (spl30_19 | ~spl30_26 | ~spl30_61)), 15.15/2.50 inference(subsumption_resolution,[],[f20393,f592])). 15.15/2.50 tff(f20393,plain,( 15.15/2.50 ( ! [X147 : $int] : ($less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X147) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X147)) ) | (spl30_19 | ~spl30_26 | ~spl30_61)), 15.15/2.50 inference(subsumption_resolution,[],[f20241,f1433])). 15.15/2.50 tff(f20241,plain,( 15.15/2.50 ( ! [X147 : $int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X147) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X147)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1364,f1798])). 15.15/2.50 tff(f20392,plain,( 15.15/2.50 spl30_289 | spl30_88 | spl30_467 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20391,f657,f590,f20083,f1967,f10830])). 15.15/2.50 tff(f20391,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (sK15 != $sum($sum(X143,sK16),$uminus(X144)) | sK5 != X144 | sK5 != X145 | ~$less(sK16,X145) | mem(int,t2tb1(X143),t2tb(sK1)) | $less(X143,0) | ~$less(sK16,X146) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X146)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20390,f312])). 15.15/2.50 tff(f20390,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (tb2t1(t2tb1(sK15)) != $sum($sum(X143,sK16),$uminus(X144)) | sK5 != X144 | sK5 != X145 | ~$less(sK16,X145) | mem(int,t2tb1(X143),t2tb(sK1)) | $less(X143,0) | ~$less(sK16,X146) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X146)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20240,f592])). 15.15/2.50 tff(f20240,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (tb2t1(t2tb1(sK15)) != $sum($sum(X143,sK16),$uminus(X144)) | sK5 != X144 | $less(sK16,0) | sK5 != X145 | ~$less(sK16,X145) | mem(int,t2tb1(X143),t2tb(sK1)) | $less(X143,0) | ~$less(sK16,X146) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X146)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1957,f1798])). 15.15/2.50 tff(f20389,plain,( 15.15/2.50 spl30_289 | spl30_88 | spl30_466 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20388,f657,f590,f20077,f1967,f10830])). 15.15/2.50 tff(f20388,plain,( 15.15/2.50 ( ! [X142 : $int,X140 : $int,X141 : $int,X139 : $int] : (sK15 != $sum($sum(X139,X140),$uminus(sK16)) | sK5 != X140 | sK5 != X141 | ~$less(sK16,X141) | mem(int,t2tb1(X139),t2tb(sK2)) | $less(X139,0) | ~$less(sK16,X142) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X142)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20387,f312])). 15.15/2.50 tff(f20387,plain,( 15.15/2.50 ( ! [X142 : $int,X140 : $int,X141 : $int,X139 : $int] : (tb2t1(t2tb1(sK15)) != $sum($sum(X139,X140),$uminus(sK16)) | sK5 != X140 | sK5 != X141 | ~$less(sK16,X141) | mem(int,t2tb1(X139),t2tb(sK2)) | $less(X139,0) | ~$less(sK16,X142) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X142)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20239,f592])). 15.15/2.50 tff(f20239,plain,( 15.15/2.50 ( ! [X142 : $int,X140 : $int,X141 : $int,X139 : $int] : (tb2t1(t2tb1(sK15)) != $sum($sum(X139,X140),$uminus(sK16)) | sK5 != X140 | sK5 != X141 | ~$less(sK16,X141) | $less(sK16,0) | mem(int,t2tb1(X139),t2tb(sK2)) | $less(X139,0) | ~$less(sK16,X142) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X142)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1989,f1798])). 15.15/2.50 tff(f20369,plain,( 15.15/2.50 spl30_100 | spl30_475 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20365,f657,f590,f20367,f2193])). 15.15/2.50 tff(f20367,plain,( 15.15/2.50 spl30_475 <=> ! [X62 : map_int_int,X61 : $int,X57 : map_int_int,X64 : $int,X63 : $int,X58 : $int,X60 : uni] : (sK15 != X58 | ~eq_prefix1(int,t2tb2(X57),t2tb2(sK13),X64) | ~$less(sK16,X64) | ~eq_prefix1(int,X60,t2tb2(X62),X63) | ~$less(sK16,X63) | ~$less(X58,X61) | lt_sol1(X57,X62) | ~eq_prefix1(int,t2tb2(X57),t2tb2(X62),sK16) | tb2t1(get(int,int,X60,t2tb1(sK16))) != X61)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_475])])). 15.15/2.50 tff(f20365,plain,( 15.15/2.50 ( ! [X58 : $int,X59 : $int,X57 : map_int_int,X62 : map_int_int,X63 : $int,X60 : uni,X61 : $int,X64 : $int] : (sK15 != X58 | n1 != X59 | ~$less(sK16,X59) | tb2t1(get(int,int,X60,t2tb1(sK16))) != X61 | lt_sol1(X57,X62) | ~$less(X58,X61) | ~eq_prefix1(int,t2tb2(X57),t2tb2(X62),sK16) | ~$less(sK16,X63) | ~eq_prefix1(int,X60,t2tb2(X62),X63) | ~$less(sK16,X64) | ~eq_prefix1(int,t2tb2(X57),t2tb2(sK13),X64)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20364,f312])). 15.15/2.50 tff(f20364,plain,( 15.15/2.50 ( ! [X58 : $int,X59 : $int,X57 : map_int_int,X62 : map_int_int,X63 : $int,X60 : uni,X61 : $int,X64 : $int] : (tb2t1(t2tb1(sK15)) != X58 | n1 != X59 | ~$less(sK16,X59) | tb2t1(get(int,int,X60,t2tb1(sK16))) != X61 | lt_sol1(X57,X62) | ~$less(X58,X61) | ~eq_prefix1(int,t2tb2(X57),t2tb2(X62),sK16) | ~$less(sK16,X63) | ~eq_prefix1(int,X60,t2tb2(X62),X63) | ~$less(sK16,X64) | ~eq_prefix1(int,t2tb2(X57),t2tb2(sK13),X64)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20226,f592])). 15.15/2.50 tff(f20226,plain,( 15.15/2.50 ( ! [X58 : $int,X59 : $int,X57 : map_int_int,X62 : map_int_int,X63 : $int,X60 : uni,X61 : $int,X64 : $int] : (tb2t1(t2tb1(sK15)) != X58 | $less(sK16,0) | n1 != X59 | ~$less(sK16,X59) | tb2t1(get(int,int,X60,t2tb1(sK16))) != X61 | lt_sol1(X57,X62) | ~$less(X58,X61) | ~eq_prefix1(int,t2tb2(X57),t2tb2(X62),sK16) | ~$less(sK16,X63) | ~eq_prefix1(int,X60,t2tb2(X62),X63) | ~$less(sK16,X64) | ~eq_prefix1(int,t2tb2(X57),t2tb2(sK13),X64)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2189,f1798])). 15.15/2.50 tff(f20363,plain,( 15.15/2.50 spl30_100 | spl30_474 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20359,f657,f590,f20361,f2193])). 15.15/2.50 tff(f20361,plain,( 15.15/2.50 spl30_474 <=> ! [X55 : $int,X54 : map_int_int,X53 : $int,X50 : $int,X49 : map_int_int,X56 : $int,X52 : uni] : (sK15 != X50 | ~eq_prefix1(int,t2tb2(X49),t2tb2(sK13),X56) | ~$less(sK16,X56) | ~eq_prefix1(int,t2tb2(X54),X52,X55) | ~$less(sK16,X55) | ~$less(X50,X53) | lt_sol1(X49,X54) | ~eq_prefix1(int,t2tb2(X49),t2tb2(X54),sK16) | tb2t1(get(int,int,X52,t2tb1(sK16))) != X53)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_474])])). 15.15/2.50 tff(f20359,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : map_int_int,X56 : $int,X54 : map_int_int,X55 : $int,X52 : uni,X53 : $int] : (sK15 != X50 | n1 != X51 | ~$less(sK16,X51) | tb2t1(get(int,int,X52,t2tb1(sK16))) != X53 | lt_sol1(X49,X54) | ~$less(X50,X53) | ~eq_prefix1(int,t2tb2(X49),t2tb2(X54),sK16) | ~$less(sK16,X55) | ~eq_prefix1(int,t2tb2(X54),X52,X55) | ~$less(sK16,X56) | ~eq_prefix1(int,t2tb2(X49),t2tb2(sK13),X56)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20358,f312])). 15.15/2.50 tff(f20358,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : map_int_int,X56 : $int,X54 : map_int_int,X55 : $int,X52 : uni,X53 : $int] : (tb2t1(t2tb1(sK15)) != X50 | n1 != X51 | ~$less(sK16,X51) | tb2t1(get(int,int,X52,t2tb1(sK16))) != X53 | lt_sol1(X49,X54) | ~$less(X50,X53) | ~eq_prefix1(int,t2tb2(X49),t2tb2(X54),sK16) | ~$less(sK16,X55) | ~eq_prefix1(int,t2tb2(X54),X52,X55) | ~$less(sK16,X56) | ~eq_prefix1(int,t2tb2(X49),t2tb2(sK13),X56)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20225,f592])). 15.15/2.50 tff(f20225,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : map_int_int,X56 : $int,X54 : map_int_int,X55 : $int,X52 : uni,X53 : $int] : (tb2t1(t2tb1(sK15)) != X50 | $less(sK16,0) | n1 != X51 | ~$less(sK16,X51) | tb2t1(get(int,int,X52,t2tb1(sK16))) != X53 | lt_sol1(X49,X54) | ~$less(X50,X53) | ~eq_prefix1(int,t2tb2(X49),t2tb2(X54),sK16) | ~$less(sK16,X55) | ~eq_prefix1(int,t2tb2(X54),X52,X55) | ~$less(sK16,X56) | ~eq_prefix1(int,t2tb2(X49),t2tb2(sK13),X56)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2188,f1798])). 15.15/2.50 tff(f20357,plain,( 15.15/2.50 spl30_100 | spl30_473 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20353,f657,f590,f20355,f2193])). 15.15/2.50 tff(f20355,plain,( 15.15/2.50 spl30_473 <=> ! [X48 : $int,X47 : map_int_int,X44 : map_int_int,X45 : $int] : (sK15 != X45 | ~eq_prefix1(int,t2tb2(X44),t2tb2(sK13),X48) | ~$less(sK16,X48) | ~eq_prefix1(int,t2tb2(X44),t2tb2(X47),sK16) | ~$less(X45,tb2t1(get(int,int,t2tb2(X47),t2tb1(sK16)))) | lt_sol1(X44,X47))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_473])])). 15.15/2.50 tff(f20353,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : map_int_int,X44 : map_int_int,X45 : $int] : (sK15 != X45 | n1 != X46 | ~$less(sK16,X46) | lt_sol1(X44,X47) | ~$less(X45,tb2t1(get(int,int,t2tb2(X47),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(X44),t2tb2(X47),sK16) | ~$less(sK16,X48) | ~eq_prefix1(int,t2tb2(X44),t2tb2(sK13),X48)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20352,f312])). 15.15/2.50 tff(f20352,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : map_int_int,X44 : map_int_int,X45 : $int] : (tb2t1(t2tb1(sK15)) != X45 | n1 != X46 | ~$less(sK16,X46) | lt_sol1(X44,X47) | ~$less(X45,tb2t1(get(int,int,t2tb2(X47),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(X44),t2tb2(X47),sK16) | ~$less(sK16,X48) | ~eq_prefix1(int,t2tb2(X44),t2tb2(sK13),X48)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20224,f592])). 15.15/2.50 tff(f20224,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : map_int_int,X44 : map_int_int,X45 : $int] : (tb2t1(t2tb1(sK15)) != X45 | n1 != X46 | ~$less(sK16,X46) | $less(sK16,0) | lt_sol1(X44,X47) | ~$less(X45,tb2t1(get(int,int,t2tb2(X47),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(X44),t2tb2(X47),sK16) | ~$less(sK16,X48) | ~eq_prefix1(int,t2tb2(X44),t2tb2(sK13),X48)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2187,f1798])). 15.15/2.50 tff(f20351,plain,( 15.15/2.50 spl30_100 | spl30_472 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20347,f657,f590,f20349,f2193])). 15.15/2.50 tff(f20349,plain,( 15.15/2.50 spl30_472 <=> ! [X38 : map_int_int,X41 : uni,X42 : $int,X43 : $int,X39 : $int] : (sK15 != X39 | ~eq_prefix1(int,t2tb2(X38),t2tb2(sK13),X43) | ~$less(sK16,X43) | ~eq_prefix1(int,t2tb2(X38),X41,sK16) | ~$less(X39,X42) | lt_sol1(X38,tb2t2(X41)) | tb2t1(get(int,int,X41,t2tb1(sK16))) != X42)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_472])])). 15.15/2.50 tff(f20347,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : map_int_int,X41 : uni,X39 : $int,X42 : $int,X43 : $int] : (sK15 != X39 | n1 != X40 | ~$less(sK16,X40) | tb2t1(get(int,int,X41,t2tb1(sK16))) != X42 | lt_sol1(X38,tb2t2(X41)) | ~$less(X39,X42) | ~eq_prefix1(int,t2tb2(X38),X41,sK16) | ~$less(sK16,X43) | ~eq_prefix1(int,t2tb2(X38),t2tb2(sK13),X43)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20346,f312])). 15.15/2.50 tff(f20346,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : map_int_int,X41 : uni,X39 : $int,X42 : $int,X43 : $int] : (tb2t1(t2tb1(sK15)) != X39 | n1 != X40 | ~$less(sK16,X40) | tb2t1(get(int,int,X41,t2tb1(sK16))) != X42 | lt_sol1(X38,tb2t2(X41)) | ~$less(X39,X42) | ~eq_prefix1(int,t2tb2(X38),X41,sK16) | ~$less(sK16,X43) | ~eq_prefix1(int,t2tb2(X38),t2tb2(sK13),X43)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20223,f592])). 15.15/2.50 tff(f20223,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : map_int_int,X41 : uni,X39 : $int,X42 : $int,X43 : $int] : (tb2t1(t2tb1(sK15)) != X39 | $less(sK16,0) | n1 != X40 | ~$less(sK16,X40) | tb2t1(get(int,int,X41,t2tb1(sK16))) != X42 | lt_sol1(X38,tb2t2(X41)) | ~$less(X39,X42) | ~eq_prefix1(int,t2tb2(X38),X41,sK16) | ~$less(sK16,X43) | ~eq_prefix1(int,t2tb2(X38),t2tb2(sK13),X43)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2181,f1798])). 15.15/2.50 tff(f20343,plain,( 15.15/2.50 spl30_100 | spl30_471 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20339,f657,f590,f20341,f2193])). 15.15/2.50 tff(f20341,plain,( 15.15/2.50 spl30_471 <=> ! [X33 : $int,X34 : $int,X29 : map_int_int,X32 : map_int_int,X30 : $int] : (sK15 != X30 | ~eq_prefix1(int,t2tb2(X29),t2tb2(sK13),X34) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(X32),t2tb2(X29),sK16) | lt_sol1(X32,X29) | tb2t1(get(int,int,t2tb2(X32),t2tb1(sK16))) != X33 | ~$less(X33,X30))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_471])])). 15.15/2.50 tff(f20339,plain,( 15.15/2.50 ( ! [X31 : $int,X29 : map_int_int,X34 : $int,X32 : map_int_int,X30 : $int,X33 : $int] : (sK15 != X30 | n1 != X31 | ~$less(sK16,X31) | tb2t1(get(int,int,t2tb2(X32),t2tb1(sK16))) != X33 | lt_sol1(X32,X29) | ~$less(X33,X30) | ~eq_prefix1(int,t2tb2(X32),t2tb2(X29),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(X29),t2tb2(sK13),X34)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20338,f312])). 15.15/2.50 tff(f20338,plain,( 15.15/2.50 ( ! [X31 : $int,X29 : map_int_int,X34 : $int,X32 : map_int_int,X30 : $int,X33 : $int] : (tb2t1(t2tb1(sK15)) != X30 | n1 != X31 | ~$less(sK16,X31) | tb2t1(get(int,int,t2tb2(X32),t2tb1(sK16))) != X33 | lt_sol1(X32,X29) | ~$less(X33,X30) | ~eq_prefix1(int,t2tb2(X32),t2tb2(X29),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(X29),t2tb2(sK13),X34)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20221,f592])). 15.15/2.50 tff(f20221,plain,( 15.15/2.50 ( ! [X31 : $int,X29 : map_int_int,X34 : $int,X32 : map_int_int,X30 : $int,X33 : $int] : (tb2t1(t2tb1(sK15)) != X30 | $less(sK16,0) | n1 != X31 | ~$less(sK16,X31) | tb2t1(get(int,int,t2tb2(X32),t2tb1(sK16))) != X33 | lt_sol1(X32,X29) | ~$less(X33,X30) | ~eq_prefix1(int,t2tb2(X32),t2tb2(X29),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(X29),t2tb2(sK13),X34)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f475,f1798])). 15.15/2.50 tff(f20142,plain,( 15.15/2.50 spl30_100 | spl30_470 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20138,f657,f590,f20140,f2193])). 15.15/2.50 tff(f20140,plain,( 15.15/2.50 spl30_470 <=> ! [X259 : $int,X258 : $int,X257 : map_int_int,X255 : $int,X254 : map_int_int] : (~eq_prefix1(int,t2tb2(X254),t2tb2(X257),sK16) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X254),X259) | ~$less(sK16,X259) | lt_sol1(X254,X257) | tb2t1(get(int,int,t2tb2(X257),t2tb1(sK16))) != X258 | sK15 != X255 | ~$less(X255,X258))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_470])])). 15.15/2.50 tff(f20138,plain,( 15.15/2.50 ( ! [X259 : $int,X258 : $int,X254 : map_int_int,X257 : map_int_int,X256 : $int,X255 : $int] : (~eq_prefix1(int,t2tb2(X254),t2tb2(X257),sK16) | ~$less(sK16,X256) | sK15 != X255 | n1 != X256 | tb2t1(get(int,int,t2tb2(X257),t2tb1(sK16))) != X258 | lt_sol1(X254,X257) | ~$less(X255,X258) | ~$less(sK16,X259) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X254),X259)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20137,f312])). 15.15/2.50 tff(f20137,plain,( 15.15/2.50 ( ! [X259 : $int,X258 : $int,X254 : map_int_int,X257 : map_int_int,X256 : $int,X255 : $int] : (~$less(sK16,X256) | sK15 != X255 | n1 != X256 | tb2t1(get(int,int,t2tb2(X257),t2tb1(sK16))) != X258 | lt_sol1(X254,X257) | ~$less(X255,X258) | ~eq_prefix1(int,t2tb2(X254),t2tb2(X257),tb2t1(t2tb1(sK16))) | ~$less(sK16,X259) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X254),X259)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20136,f312])). 15.15/2.50 tff(f20136,plain,( 15.15/2.50 ( ! [X259 : $int,X258 : $int,X254 : map_int_int,X257 : map_int_int,X256 : $int,X255 : $int] : (sK15 != X255 | n1 != X256 | ~$less(tb2t1(t2tb1(sK16)),X256) | tb2t1(get(int,int,t2tb2(X257),t2tb1(sK16))) != X258 | lt_sol1(X254,X257) | ~$less(X255,X258) | ~eq_prefix1(int,t2tb2(X254),t2tb2(X257),tb2t1(t2tb1(sK16))) | ~$less(sK16,X259) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X254),X259)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f20135,f592])). 15.15/2.50 tff(f20135,plain,( 15.15/2.50 ( ! [X259 : $int,X258 : $int,X254 : map_int_int,X257 : map_int_int,X256 : $int,X255 : $int] : ($less(sK16,0) | sK15 != X255 | n1 != X256 | ~$less(tb2t1(t2tb1(sK16)),X256) | tb2t1(get(int,int,t2tb2(X257),t2tb1(sK16))) != X258 | lt_sol1(X254,X257) | ~$less(X255,X258) | ~eq_prefix1(int,t2tb2(X254),t2tb2(X257),tb2t1(t2tb1(sK16))) | ~$less(sK16,X259) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X254),X259)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20134,f312])). 15.15/2.50 tff(f20134,plain,( 15.15/2.50 ( ! [X259 : $int,X258 : $int,X254 : map_int_int,X257 : map_int_int,X256 : $int,X255 : $int] : (sK15 != X255 | $less(tb2t1(t2tb1(sK16)),0) | n1 != X256 | ~$less(tb2t1(t2tb1(sK16)),X256) | tb2t1(get(int,int,t2tb2(X257),t2tb1(sK16))) != X258 | lt_sol1(X254,X257) | ~$less(X255,X258) | ~eq_prefix1(int,t2tb2(X254),t2tb2(X257),tb2t1(t2tb1(sK16))) | ~$less(sK16,X259) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X254),X259)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f19948,f312])). 15.15/2.50 tff(f19948,plain,( 15.15/2.50 ( ! [X259 : $int,X258 : $int,X254 : map_int_int,X257 : map_int_int,X256 : $int,X255 : $int] : (tb2t1(t2tb1(sK15)) != X255 | $less(tb2t1(t2tb1(sK16)),0) | n1 != X256 | ~$less(tb2t1(t2tb1(sK16)),X256) | tb2t1(get(int,int,t2tb2(X257),t2tb1(sK16))) != X258 | lt_sol1(X254,X257) | ~$less(X255,X258) | ~eq_prefix1(int,t2tb2(X254),t2tb2(X257),tb2t1(t2tb1(sK16))) | ~$less(sK16,X259) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X254),X259)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2182,f1796])). 15.15/2.50 tff(f20124,plain,( 15.15/2.50 spl30_469 | spl30_88 | spl30_291 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20123,f657,f590,f10951,f1967,f20116])). 15.15/2.50 tff(f20116,plain,( 15.15/2.50 spl30_469 <=> ! [X201 : uni,X206 : $int,X207 : $int] : (~$less(sK16,X206) | ~eq_prefix1(int,t2tb2(sK13),X201,X207) | ~$less(sK16,X207) | ~eq_prefix1(int,X201,t2tb2(sK6),X206))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_469])])). 15.15/2.50 tff(f20123,plain,( 15.15/2.50 ( ! [X215 : uni,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : $int,X217 : $int] : (sK15 != X216 | sK5 != X217 | $sum($sum(X218,X217),$uminus(sK16)) != X216 | sK5 != X219 | ~$less(sK16,X219) | mem(int,t2tb1(X218),t2tb(sK2)) | $less(X218,0) | ~$less(sK16,X220) | ~eq_prefix1(int,X215,t2tb2(sK6),X220) | ~$less(sK16,X221) | ~eq_prefix1(int,t2tb2(sK13),X215,X221)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20122,f312])). 15.15/2.50 tff(f20122,plain,( 15.15/2.50 ( ! [X215 : uni,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : $int,X217 : $int] : (tb2t1(t2tb1(sK15)) != X216 | sK5 != X217 | $sum($sum(X218,X217),$uminus(sK16)) != X216 | sK5 != X219 | ~$less(sK16,X219) | mem(int,t2tb1(X218),t2tb(sK2)) | $less(X218,0) | ~$less(sK16,X220) | ~eq_prefix1(int,X215,t2tb2(sK6),X220) | ~$less(sK16,X221) | ~eq_prefix1(int,t2tb2(sK13),X215,X221)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19941,f592])). 15.15/2.50 tff(f19941,plain,( 15.15/2.50 ( ! [X215 : uni,X220 : $int,X221 : $int,X218 : $int,X219 : $int,X216 : $int,X217 : $int] : (tb2t1(t2tb1(sK15)) != X216 | sK5 != X217 | $sum($sum(X218,X217),$uminus(sK16)) != X216 | sK5 != X219 | ~$less(sK16,X219) | $less(sK16,0) | mem(int,t2tb1(X218),t2tb(sK2)) | $less(X218,0) | ~$less(sK16,X220) | ~eq_prefix1(int,X215,t2tb2(sK6),X220) | ~$less(sK16,X221) | ~eq_prefix1(int,t2tb2(sK13),X215,X221)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1991,f1796])). 15.15/2.50 tff(f20121,plain,( 15.15/2.50 spl30_468 | spl30_88 | spl30_291 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20120,f657,f590,f10951,f1967,f20110])). 15.15/2.50 tff(f20120,plain,( 15.15/2.50 ( ! [X212 : $int,X213 : $int,X210 : $int,X211 : $int,X208 : uni,X209 : $int,X214 : $int] : (sK15 != X209 | sK5 != X210 | $sum($sum(X211,X210),$uminus(sK16)) != X209 | sK5 != X212 | ~$less(sK16,X212) | mem(int,t2tb1(X211),t2tb(sK2)) | $less(X211,0) | ~$less(sK16,X213) | ~eq_prefix1(int,t2tb2(sK6),X208,X213) | ~$less(sK16,X214) | ~eq_prefix1(int,t2tb2(sK13),X208,X214)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20119,f312])). 15.15/2.50 tff(f20119,plain,( 15.15/2.50 ( ! [X212 : $int,X213 : $int,X210 : $int,X211 : $int,X208 : uni,X209 : $int,X214 : $int] : (tb2t1(t2tb1(sK15)) != X209 | sK5 != X210 | $sum($sum(X211,X210),$uminus(sK16)) != X209 | sK5 != X212 | ~$less(sK16,X212) | mem(int,t2tb1(X211),t2tb(sK2)) | $less(X211,0) | ~$less(sK16,X213) | ~eq_prefix1(int,t2tb2(sK6),X208,X213) | ~$less(sK16,X214) | ~eq_prefix1(int,t2tb2(sK13),X208,X214)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19940,f592])). 15.15/2.50 tff(f19940,plain,( 15.15/2.50 ( ! [X212 : $int,X213 : $int,X210 : $int,X211 : $int,X208 : uni,X209 : $int,X214 : $int] : (tb2t1(t2tb1(sK15)) != X209 | sK5 != X210 | $sum($sum(X211,X210),$uminus(sK16)) != X209 | sK5 != X212 | ~$less(sK16,X212) | $less(sK16,0) | mem(int,t2tb1(X211),t2tb(sK2)) | $less(X211,0) | ~$less(sK16,X213) | ~eq_prefix1(int,t2tb2(sK6),X208,X213) | ~$less(sK16,X214) | ~eq_prefix1(int,t2tb2(sK13),X208,X214)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1990,f1796])). 15.15/2.50 tff(f20118,plain,( 15.15/2.50 spl30_469 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20114,f657,f590,f1970,f1967,f20116])). 15.15/2.50 tff(f20114,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : $int,X203 : $int,X201 : uni,X206 : $int,X207 : $int,X204 : $int] : (sK15 != X202 | sK5 != X203 | $sum($sum(X204,sK16),$uminus(X203)) != X202 | sK5 != X205 | ~$less(sK16,X205) | mem(int,t2tb1(X204),t2tb(sK1)) | $less(X204,0) | ~$less(sK16,X206) | ~eq_prefix1(int,X201,t2tb2(sK6),X206) | ~$less(sK16,X207) | ~eq_prefix1(int,t2tb2(sK13),X201,X207)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20113,f312])). 15.15/2.50 tff(f20113,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : $int,X203 : $int,X201 : uni,X206 : $int,X207 : $int,X204 : $int] : (tb2t1(t2tb1(sK15)) != X202 | sK5 != X203 | $sum($sum(X204,sK16),$uminus(X203)) != X202 | sK5 != X205 | ~$less(sK16,X205) | mem(int,t2tb1(X204),t2tb(sK1)) | $less(X204,0) | ~$less(sK16,X206) | ~eq_prefix1(int,X201,t2tb2(sK6),X206) | ~$less(sK16,X207) | ~eq_prefix1(int,t2tb2(sK13),X201,X207)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19939,f592])). 15.15/2.50 tff(f19939,plain,( 15.15/2.50 ( ! [X205 : $int,X202 : $int,X203 : $int,X201 : uni,X206 : $int,X207 : $int,X204 : $int] : (tb2t1(t2tb1(sK15)) != X202 | sK5 != X203 | $sum($sum(X204,sK16),$uminus(X203)) != X202 | $less(sK16,0) | sK5 != X205 | ~$less(sK16,X205) | mem(int,t2tb1(X204),t2tb(sK1)) | $less(X204,0) | ~$less(sK16,X206) | ~eq_prefix1(int,X201,t2tb2(sK6),X206) | ~$less(sK16,X207) | ~eq_prefix1(int,t2tb2(sK13),X201,X207)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1959,f1796])). 15.15/2.50 tff(f20112,plain,( 15.15/2.50 spl30_468 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20108,f657,f590,f1970,f1967,f20110])). 15.15/2.50 tff(f20108,plain,( 15.15/2.50 ( ! [X194 : uni,X195 : $int,X200 : $int,X198 : $int,X199 : $int,X196 : $int,X197 : $int] : (sK15 != X195 | sK5 != X196 | $sum($sum(X197,sK16),$uminus(X196)) != X195 | sK5 != X198 | ~$less(sK16,X198) | mem(int,t2tb1(X197),t2tb(sK1)) | $less(X197,0) | ~$less(sK16,X199) | ~eq_prefix1(int,t2tb2(sK6),X194,X199) | ~$less(sK16,X200) | ~eq_prefix1(int,t2tb2(sK13),X194,X200)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20107,f312])). 15.15/2.50 tff(f20107,plain,( 15.15/2.50 ( ! [X194 : uni,X195 : $int,X200 : $int,X198 : $int,X199 : $int,X196 : $int,X197 : $int] : (tb2t1(t2tb1(sK15)) != X195 | sK5 != X196 | $sum($sum(X197,sK16),$uminus(X196)) != X195 | sK5 != X198 | ~$less(sK16,X198) | mem(int,t2tb1(X197),t2tb(sK1)) | $less(X197,0) | ~$less(sK16,X199) | ~eq_prefix1(int,t2tb2(sK6),X194,X199) | ~$less(sK16,X200) | ~eq_prefix1(int,t2tb2(sK13),X194,X200)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19938,f592])). 15.15/2.50 tff(f19938,plain,( 15.15/2.50 ( ! [X194 : uni,X195 : $int,X200 : $int,X198 : $int,X199 : $int,X196 : $int,X197 : $int] : (tb2t1(t2tb1(sK15)) != X195 | sK5 != X196 | $sum($sum(X197,sK16),$uminus(X196)) != X195 | $less(sK16,0) | sK5 != X198 | ~$less(sK16,X198) | mem(int,t2tb1(X197),t2tb(sK1)) | $less(X197,0) | ~$less(sK16,X199) | ~eq_prefix1(int,t2tb2(sK6),X194,X199) | ~$less(sK16,X200) | ~eq_prefix1(int,t2tb2(sK13),X194,X200)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1958,f1796])). 15.15/2.50 tff(f20094,plain,( 15.15/2.50 spl30_290 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20093,f657,f590,f1970,f1967,f10891])). 15.15/2.50 tff(f10891,plain,( 15.15/2.50 spl30_290 <=> ! [X4 : $int] : (~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X4))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_290])])). 15.15/2.50 tff(f20093,plain,( 15.15/2.50 ( ! [X155 : $int,X153 : $int,X156 : $int,X157 : $int,X154 : $int] : (sK15 != X153 | sK5 != X154 | $sum($sum(X155,sK16),$uminus(X154)) != X153 | sK5 != X156 | ~$less(sK16,X156) | mem(int,t2tb1(X155),t2tb(sK1)) | $less(X155,0) | ~$less(sK16,X157) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X157)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20092,f312])). 15.15/2.50 tff(f20092,plain,( 15.15/2.50 ( ! [X155 : $int,X153 : $int,X156 : $int,X157 : $int,X154 : $int] : (tb2t1(t2tb1(sK15)) != X153 | sK5 != X154 | $sum($sum(X155,sK16),$uminus(X154)) != X153 | sK5 != X156 | ~$less(sK16,X156) | mem(int,t2tb1(X155),t2tb(sK1)) | $less(X155,0) | ~$less(sK16,X157) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X157)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19930,f592])). 15.15/2.50 tff(f19930,plain,( 15.15/2.50 ( ! [X155 : $int,X153 : $int,X156 : $int,X157 : $int,X154 : $int] : (tb2t1(t2tb1(sK15)) != X153 | sK5 != X154 | $sum($sum(X155,sK16),$uminus(X154)) != X153 | $less(sK16,0) | sK5 != X156 | ~$less(sK16,X156) | mem(int,t2tb1(X155),t2tb(sK1)) | $less(X155,0) | ~$less(sK16,X157) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X157)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f446,f1796])). 15.15/2.50 tff(f20091,plain,( 15.15/2.50 spl30_290 | spl30_88 | spl30_291 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20090,f657,f590,f10951,f1967,f10891])). 15.15/2.50 tff(f20090,plain,( 15.15/2.50 ( ! [X152 : $int,X150 : $int,X151 : $int,X148 : $int,X149 : $int] : (sK15 != X148 | sK5 != X149 | $sum($sum(X150,X149),$uminus(sK16)) != X148 | sK5 != X151 | ~$less(sK16,X151) | mem(int,t2tb1(X150),t2tb(sK2)) | $less(X150,0) | ~$less(sK16,X152) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X152)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20089,f312])). 15.15/2.50 tff(f20089,plain,( 15.15/2.50 ( ! [X152 : $int,X150 : $int,X151 : $int,X148 : $int,X149 : $int] : (tb2t1(t2tb1(sK15)) != X148 | sK5 != X149 | $sum($sum(X150,X149),$uminus(sK16)) != X148 | sK5 != X151 | ~$less(sK16,X151) | mem(int,t2tb1(X150),t2tb(sK2)) | $less(X150,0) | ~$less(sK16,X152) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X152)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19929,f592])). 15.15/2.50 tff(f19929,plain,( 15.15/2.50 ( ! [X152 : $int,X150 : $int,X151 : $int,X148 : $int,X149 : $int] : (tb2t1(t2tb1(sK15)) != X148 | sK5 != X149 | $sum($sum(X150,X149),$uminus(sK16)) != X148 | sK5 != X151 | ~$less(sK16,X151) | $less(sK16,0) | mem(int,t2tb1(X150),t2tb(sK2)) | $less(X150,0) | ~$less(sK16,X152) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X152)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f450,f1796])). 15.15/2.50 tff(f20088,plain,( 15.15/2.50 spl30_290 | ~spl30_456 | spl30_19 | ~spl30_26 | ~spl30_61), 15.15/2.50 inference(avatar_split_clause,[],[f20087,f1431,f657,f590,f19578,f10891])). 15.15/2.50 tff(f20087,plain,( 15.15/2.50 ( ! [X147 : $int] : (~$less(sK16,sK5) | ~$less(sK16,X147) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X147)) ) | (spl30_19 | ~spl30_26 | ~spl30_61)), 15.15/2.50 inference(subsumption_resolution,[],[f20086,f592])). 15.15/2.50 tff(f20086,plain,( 15.15/2.50 ( ! [X147 : $int] : ($less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X147) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X147)) ) | (spl30_19 | ~spl30_26 | ~spl30_61)), 15.15/2.50 inference(subsumption_resolution,[],[f19928,f1433])). 15.15/2.50 tff(f19928,plain,( 15.15/2.50 ( ! [X147 : $int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X147) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X147)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1364,f1796])). 15.15/2.50 tff(f20085,plain,( 15.15/2.50 spl30_290 | spl30_88 | spl30_467 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20081,f657,f590,f20083,f1967,f10891])). 15.15/2.50 tff(f20081,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (sK15 != $sum($sum(X143,sK16),$uminus(X144)) | sK5 != X144 | sK5 != X145 | ~$less(sK16,X145) | mem(int,t2tb1(X143),t2tb(sK1)) | $less(X143,0) | ~$less(sK16,X146) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X146)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20080,f312])). 15.15/2.50 tff(f20080,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (tb2t1(t2tb1(sK15)) != $sum($sum(X143,sK16),$uminus(X144)) | sK5 != X144 | sK5 != X145 | ~$less(sK16,X145) | mem(int,t2tb1(X143),t2tb(sK1)) | $less(X143,0) | ~$less(sK16,X146) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X146)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19927,f592])). 15.15/2.50 tff(f19927,plain,( 15.15/2.50 ( ! [X145 : $int,X143 : $int,X146 : $int,X144 : $int] : (tb2t1(t2tb1(sK15)) != $sum($sum(X143,sK16),$uminus(X144)) | sK5 != X144 | $less(sK16,0) | sK5 != X145 | ~$less(sK16,X145) | mem(int,t2tb1(X143),t2tb(sK1)) | $less(X143,0) | ~$less(sK16,X146) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X146)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1957,f1796])). 15.15/2.50 tff(f20079,plain,( 15.15/2.50 spl30_290 | spl30_88 | spl30_466 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20075,f657,f590,f20077,f1967,f10891])). 15.15/2.50 tff(f20075,plain,( 15.15/2.50 ( ! [X142 : $int,X140 : $int,X141 : $int,X139 : $int] : (sK15 != $sum($sum(X139,X140),$uminus(sK16)) | sK5 != X140 | sK5 != X141 | ~$less(sK16,X141) | mem(int,t2tb1(X139),t2tb(sK2)) | $less(X139,0) | ~$less(sK16,X142) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X142)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20074,f312])). 15.15/2.50 tff(f20074,plain,( 15.15/2.50 ( ! [X142 : $int,X140 : $int,X141 : $int,X139 : $int] : (tb2t1(t2tb1(sK15)) != $sum($sum(X139,X140),$uminus(sK16)) | sK5 != X140 | sK5 != X141 | ~$less(sK16,X141) | mem(int,t2tb1(X139),t2tb(sK2)) | $less(X139,0) | ~$less(sK16,X142) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X142)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19926,f592])). 15.15/2.50 tff(f19926,plain,( 15.15/2.50 ( ! [X142 : $int,X140 : $int,X141 : $int,X139 : $int] : (tb2t1(t2tb1(sK15)) != $sum($sum(X139,X140),$uminus(sK16)) | sK5 != X140 | sK5 != X141 | ~$less(sK16,X141) | $less(sK16,0) | mem(int,t2tb1(X139),t2tb(sK2)) | $less(X139,0) | ~$less(sK16,X142) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X142)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f1989,f1796])). 15.15/2.50 tff(f20056,plain,( 15.15/2.50 spl30_100 | spl30_465 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20052,f657,f590,f20054,f2193])). 15.15/2.50 tff(f20054,plain,( 15.15/2.50 spl30_465 <=> ! [X62 : map_int_int,X61 : $int,X57 : map_int_int,X64 : $int,X63 : $int,X58 : $int,X60 : uni] : (sK15 != X58 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X57),X64) | ~$less(sK16,X64) | ~eq_prefix1(int,X60,t2tb2(X62),X63) | ~$less(sK16,X63) | ~$less(X58,X61) | lt_sol1(X57,X62) | ~eq_prefix1(int,t2tb2(X57),t2tb2(X62),sK16) | tb2t1(get(int,int,X60,t2tb1(sK16))) != X61)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_465])])). 15.15/2.50 tff(f20052,plain,( 15.15/2.50 ( ! [X58 : $int,X59 : $int,X57 : map_int_int,X62 : map_int_int,X63 : $int,X60 : uni,X61 : $int,X64 : $int] : (sK15 != X58 | n1 != X59 | ~$less(sK16,X59) | tb2t1(get(int,int,X60,t2tb1(sK16))) != X61 | lt_sol1(X57,X62) | ~$less(X58,X61) | ~eq_prefix1(int,t2tb2(X57),t2tb2(X62),sK16) | ~$less(sK16,X63) | ~eq_prefix1(int,X60,t2tb2(X62),X63) | ~$less(sK16,X64) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X57),X64)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20051,f312])). 15.15/2.50 tff(f20051,plain,( 15.15/2.50 ( ! [X58 : $int,X59 : $int,X57 : map_int_int,X62 : map_int_int,X63 : $int,X60 : uni,X61 : $int,X64 : $int] : (tb2t1(t2tb1(sK15)) != X58 | n1 != X59 | ~$less(sK16,X59) | tb2t1(get(int,int,X60,t2tb1(sK16))) != X61 | lt_sol1(X57,X62) | ~$less(X58,X61) | ~eq_prefix1(int,t2tb2(X57),t2tb2(X62),sK16) | ~$less(sK16,X63) | ~eq_prefix1(int,X60,t2tb2(X62),X63) | ~$less(sK16,X64) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X57),X64)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19913,f592])). 15.15/2.50 tff(f19913,plain,( 15.15/2.50 ( ! [X58 : $int,X59 : $int,X57 : map_int_int,X62 : map_int_int,X63 : $int,X60 : uni,X61 : $int,X64 : $int] : (tb2t1(t2tb1(sK15)) != X58 | $less(sK16,0) | n1 != X59 | ~$less(sK16,X59) | tb2t1(get(int,int,X60,t2tb1(sK16))) != X61 | lt_sol1(X57,X62) | ~$less(X58,X61) | ~eq_prefix1(int,t2tb2(X57),t2tb2(X62),sK16) | ~$less(sK16,X63) | ~eq_prefix1(int,X60,t2tb2(X62),X63) | ~$less(sK16,X64) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X57),X64)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2189,f1796])). 15.15/2.50 tff(f20050,plain,( 15.15/2.50 spl30_100 | spl30_464 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20046,f657,f590,f20048,f2193])). 15.15/2.50 tff(f20048,plain,( 15.15/2.50 spl30_464 <=> ! [X55 : $int,X54 : map_int_int,X53 : $int,X50 : $int,X49 : map_int_int,X56 : $int,X52 : uni] : (sK15 != X50 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X49),X56) | ~$less(sK16,X56) | ~eq_prefix1(int,t2tb2(X54),X52,X55) | ~$less(sK16,X55) | ~$less(X50,X53) | lt_sol1(X49,X54) | ~eq_prefix1(int,t2tb2(X49),t2tb2(X54),sK16) | tb2t1(get(int,int,X52,t2tb1(sK16))) != X53)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_464])])). 15.15/2.50 tff(f20046,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : map_int_int,X56 : $int,X54 : map_int_int,X55 : $int,X52 : uni,X53 : $int] : (sK15 != X50 | n1 != X51 | ~$less(sK16,X51) | tb2t1(get(int,int,X52,t2tb1(sK16))) != X53 | lt_sol1(X49,X54) | ~$less(X50,X53) | ~eq_prefix1(int,t2tb2(X49),t2tb2(X54),sK16) | ~$less(sK16,X55) | ~eq_prefix1(int,t2tb2(X54),X52,X55) | ~$less(sK16,X56) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X49),X56)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20045,f312])). 15.15/2.50 tff(f20045,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : map_int_int,X56 : $int,X54 : map_int_int,X55 : $int,X52 : uni,X53 : $int] : (tb2t1(t2tb1(sK15)) != X50 | n1 != X51 | ~$less(sK16,X51) | tb2t1(get(int,int,X52,t2tb1(sK16))) != X53 | lt_sol1(X49,X54) | ~$less(X50,X53) | ~eq_prefix1(int,t2tb2(X49),t2tb2(X54),sK16) | ~$less(sK16,X55) | ~eq_prefix1(int,t2tb2(X54),X52,X55) | ~$less(sK16,X56) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X49),X56)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19912,f592])). 15.15/2.50 tff(f19912,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : map_int_int,X56 : $int,X54 : map_int_int,X55 : $int,X52 : uni,X53 : $int] : (tb2t1(t2tb1(sK15)) != X50 | $less(sK16,0) | n1 != X51 | ~$less(sK16,X51) | tb2t1(get(int,int,X52,t2tb1(sK16))) != X53 | lt_sol1(X49,X54) | ~$less(X50,X53) | ~eq_prefix1(int,t2tb2(X49),t2tb2(X54),sK16) | ~$less(sK16,X55) | ~eq_prefix1(int,t2tb2(X54),X52,X55) | ~$less(sK16,X56) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X49),X56)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2188,f1796])). 15.15/2.50 tff(f20044,plain,( 15.15/2.50 spl30_100 | spl30_463 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20040,f657,f590,f20042,f2193])). 15.15/2.50 tff(f20042,plain,( 15.15/2.50 spl30_463 <=> ! [X48 : $int,X47 : map_int_int,X44 : map_int_int,X45 : $int] : (sK15 != X45 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X44),X48) | ~$less(sK16,X48) | ~eq_prefix1(int,t2tb2(X44),t2tb2(X47),sK16) | ~$less(X45,tb2t1(get(int,int,t2tb2(X47),t2tb1(sK16)))) | lt_sol1(X44,X47))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_463])])). 15.15/2.50 tff(f20040,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : map_int_int,X44 : map_int_int,X45 : $int] : (sK15 != X45 | n1 != X46 | ~$less(sK16,X46) | lt_sol1(X44,X47) | ~$less(X45,tb2t1(get(int,int,t2tb2(X47),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(X44),t2tb2(X47),sK16) | ~$less(sK16,X48) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X44),X48)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20039,f312])). 15.15/2.50 tff(f20039,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : map_int_int,X44 : map_int_int,X45 : $int] : (tb2t1(t2tb1(sK15)) != X45 | n1 != X46 | ~$less(sK16,X46) | lt_sol1(X44,X47) | ~$less(X45,tb2t1(get(int,int,t2tb2(X47),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(X44),t2tb2(X47),sK16) | ~$less(sK16,X48) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X44),X48)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19911,f592])). 15.15/2.50 tff(f19911,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : map_int_int,X44 : map_int_int,X45 : $int] : (tb2t1(t2tb1(sK15)) != X45 | n1 != X46 | ~$less(sK16,X46) | $less(sK16,0) | lt_sol1(X44,X47) | ~$less(X45,tb2t1(get(int,int,t2tb2(X47),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(X44),t2tb2(X47),sK16) | ~$less(sK16,X48) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X44),X48)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2187,f1796])). 15.15/2.50 tff(f20038,plain,( 15.15/2.50 spl30_100 | spl30_462 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20034,f657,f590,f20036,f2193])). 15.15/2.50 tff(f20036,plain,( 15.15/2.50 spl30_462 <=> ! [X38 : map_int_int,X41 : uni,X42 : $int,X43 : $int,X39 : $int] : (sK15 != X39 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X38),X43) | ~$less(sK16,X43) | ~eq_prefix1(int,t2tb2(X38),X41,sK16) | ~$less(X39,X42) | lt_sol1(X38,tb2t2(X41)) | tb2t1(get(int,int,X41,t2tb1(sK16))) != X42)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_462])])). 15.15/2.50 tff(f20034,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : map_int_int,X41 : uni,X39 : $int,X42 : $int,X43 : $int] : (sK15 != X39 | n1 != X40 | ~$less(sK16,X40) | tb2t1(get(int,int,X41,t2tb1(sK16))) != X42 | lt_sol1(X38,tb2t2(X41)) | ~$less(X39,X42) | ~eq_prefix1(int,t2tb2(X38),X41,sK16) | ~$less(sK16,X43) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X38),X43)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20033,f312])). 15.15/2.50 tff(f20033,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : map_int_int,X41 : uni,X39 : $int,X42 : $int,X43 : $int] : (tb2t1(t2tb1(sK15)) != X39 | n1 != X40 | ~$less(sK16,X40) | tb2t1(get(int,int,X41,t2tb1(sK16))) != X42 | lt_sol1(X38,tb2t2(X41)) | ~$less(X39,X42) | ~eq_prefix1(int,t2tb2(X38),X41,sK16) | ~$less(sK16,X43) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X38),X43)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19910,f592])). 15.15/2.50 tff(f19910,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : map_int_int,X41 : uni,X39 : $int,X42 : $int,X43 : $int] : (tb2t1(t2tb1(sK15)) != X39 | $less(sK16,0) | n1 != X40 | ~$less(sK16,X40) | tb2t1(get(int,int,X41,t2tb1(sK16))) != X42 | lt_sol1(X38,tb2t2(X41)) | ~$less(X39,X42) | ~eq_prefix1(int,t2tb2(X38),X41,sK16) | ~$less(sK16,X43) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X38),X43)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f2181,f1796])). 15.15/2.50 tff(f20030,plain,( 15.15/2.50 spl30_100 | spl30_461 | spl30_19 | ~spl30_26), 15.15/2.50 inference(avatar_split_clause,[],[f20026,f657,f590,f20028,f2193])). 15.15/2.50 tff(f20028,plain,( 15.15/2.50 spl30_461 <=> ! [X33 : $int,X34 : $int,X29 : map_int_int,X32 : map_int_int,X30 : $int] : (sK15 != X30 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X29),X34) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(X32),t2tb2(X29),sK16) | lt_sol1(X32,X29) | tb2t1(get(int,int,t2tb2(X32),t2tb1(sK16))) != X33 | ~$less(X33,X30))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_461])])). 15.15/2.50 tff(f20026,plain,( 15.15/2.50 ( ! [X31 : $int,X29 : map_int_int,X34 : $int,X32 : map_int_int,X30 : $int,X33 : $int] : (sK15 != X30 | n1 != X31 | ~$less(sK16,X31) | tb2t1(get(int,int,t2tb2(X32),t2tb1(sK16))) != X33 | lt_sol1(X32,X29) | ~$less(X33,X30) | ~eq_prefix1(int,t2tb2(X32),t2tb2(X29),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X29),X34)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(forward_demodulation,[],[f20025,f312])). 15.15/2.50 tff(f20025,plain,( 15.15/2.50 ( ! [X31 : $int,X29 : map_int_int,X34 : $int,X32 : map_int_int,X30 : $int,X33 : $int] : (tb2t1(t2tb1(sK15)) != X30 | n1 != X31 | ~$less(sK16,X31) | tb2t1(get(int,int,t2tb2(X32),t2tb1(sK16))) != X33 | lt_sol1(X32,X29) | ~$less(X33,X30) | ~eq_prefix1(int,t2tb2(X32),t2tb2(X29),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X29),X34)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(subsumption_resolution,[],[f19908,f592])). 15.15/2.50 tff(f19908,plain,( 15.15/2.50 ( ! [X31 : $int,X29 : map_int_int,X34 : $int,X32 : map_int_int,X30 : $int,X33 : $int] : (tb2t1(t2tb1(sK15)) != X30 | $less(sK16,0) | n1 != X31 | ~$less(sK16,X31) | tb2t1(get(int,int,t2tb2(X32),t2tb1(sK16))) != X33 | lt_sol1(X32,X29) | ~$less(X33,X30) | ~eq_prefix1(int,t2tb2(X32),t2tb2(X29),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X29),X34)) ) | (spl30_19 | ~spl30_26)), 15.15/2.50 inference(superposition,[],[f475,f1796])). 15.15/2.50 tff(f19643,plain,( 15.15/2.50 spl30_459 | ~spl30_460 | ~spl30_453), 15.15/2.50 inference(avatar_split_clause,[],[f19616,f19512,f19640,f19637])). 15.15/2.50 tff(f19637,plain,( 15.15/2.50 spl30_459 <=> ! [X0 : $int] : ~$less(sK16,X0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_459])])). 15.15/2.50 tff(f19640,plain,( 15.15/2.50 spl30_460 <=> sK6 = sK12), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_460])])). 15.15/2.50 tff(f19616,plain,( 15.15/2.50 ( ! [X0 : $int] : (sK6 != sK12 | ~$less(sK16,X0)) ) | ~spl30_453), 15.15/2.50 inference(constrained_resolution,[],[f19513,f1921])). 15.15/2.50 tff(f1921,plain,( 15.15/2.50 ( ! [X2 : $int,X0 : ty,X1 : uni] : (eq_prefix1(X0,X1,X1,X2)) )), 15.15/2.50 inference(equality_resolution,[],[f412])). 15.15/2.50 tff(f412,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni] : (get(X0,int,X1,t2tb1(sK29(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK29(X0,X1,X2,X3))) | eq_prefix1(X0,X1,X2,X3)) )), 15.15/2.50 inference(cnf_transformation,[],[f255])). 15.15/2.50 tff(f19513,plain,( 15.15/2.50 ( ! [X118 : $int] : (~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X118) | ~$less(sK16,X118)) ) | ~spl30_453), 15.15/2.50 inference(avatar_component_clause,[],[f19512])). 15.15/2.50 tff(f19635,plain,( 15.15/2.50 ~spl30_458 | ~spl30_457 | ~spl30_453), 15.15/2.50 inference(avatar_split_clause,[],[f19634,f19512,f19622,f19626])). 15.15/2.50 tff(f19626,plain,( 15.15/2.50 spl30_458 <=> $less(sK16,sK24(sK6,sK12))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_458])])). 15.15/2.50 tff(f19622,plain,( 15.15/2.50 spl30_457 <=> lt_sol1(sK6,sK12)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_457])])). 15.15/2.50 tff(f19634,plain,( 15.15/2.50 ~lt_sol1(sK6,sK12) | ~$less(sK16,sK24(sK6,sK12)) | ~spl30_453), 15.15/2.50 inference(forward_demodulation,[],[f19633,f310])). 15.15/2.50 tff(f19633,plain,( 15.15/2.50 ~$less(sK16,sK24(sK6,sK12)) | ~lt_sol1(sK6,tb2t2(t2tb2(sK12))) | ~spl30_453), 15.15/2.50 inference(forward_demodulation,[],[f19615,f310])). 15.15/2.50 tff(f19615,plain,( 15.15/2.50 ~$less(sK16,sK24(sK6,tb2t2(t2tb2(sK12)))) | ~lt_sol1(sK6,tb2t2(t2tb2(sK12))) | ~spl30_453), 15.15/2.50 inference(resolution,[],[f19513,f1009])). 15.15/2.50 tff(f1009,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : map_int_int] : (eq_prefix1(int,t2tb2(X1),X0,sK24(X1,tb2t2(X0))) | ~lt_sol1(X1,tb2t2(X0))) )), 15.15/2.50 inference(superposition,[],[f362,f313])). 15.15/2.50 tff(f362,plain,( 15.15/2.50 ( ! [X0 : map_int_int,X1 : map_int_int] : (eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1)) | ~lt_sol1(X0,X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f237])). 15.15/2.50 tff(f19632,plain,( 15.15/2.50 ~spl30_458 | ~spl30_457 | ~spl30_453), 15.15/2.50 inference(avatar_split_clause,[],[f19631,f19512,f19622,f19626])). 15.15/2.50 tff(f19631,plain,( 15.15/2.50 ~lt_sol1(sK6,sK12) | ~$less(sK16,sK24(sK6,sK12)) | ~spl30_453), 15.15/2.50 inference(forward_demodulation,[],[f19630,f310])). 15.15/2.50 tff(f19630,plain,( 15.15/2.50 ~$less(sK16,sK24(sK6,sK12)) | ~lt_sol1(tb2t2(t2tb2(sK6)),sK12) | ~spl30_453), 15.15/2.50 inference(forward_demodulation,[],[f19614,f310])). 15.15/2.50 tff(f19614,plain,( 15.15/2.50 ~$less(sK16,sK24(tb2t2(t2tb2(sK6)),sK12)) | ~lt_sol1(tb2t2(t2tb2(sK6)),sK12) | ~spl30_453), 15.15/2.50 inference(resolution,[],[f19513,f1008])). 15.15/2.50 tff(f1008,plain,( 15.15/2.50 ( ! [X0 : uni,X1 : map_int_int] : (eq_prefix1(int,X0,t2tb2(X1),sK24(tb2t2(X0),X1)) | ~lt_sol1(tb2t2(X0),X1)) )), 15.15/2.50 inference(superposition,[],[f362,f313])). 15.15/2.50 tff(f19629,plain,( 15.15/2.50 ~spl30_457 | ~spl30_458 | ~spl30_453), 15.15/2.50 inference(avatar_split_clause,[],[f19613,f19512,f19626,f19622])). 15.15/2.50 tff(f19613,plain,( 15.15/2.50 ~$less(sK16,sK24(sK6,sK12)) | ~lt_sol1(sK6,sK12) | ~spl30_453), 15.15/2.50 inference(resolution,[],[f19513,f362])). 15.15/2.50 tff(f19620,plain,( 15.15/2.50 ~spl30_456 | ~spl30_22 | ~spl30_453), 15.15/2.50 inference(avatar_split_clause,[],[f19612,f19512,f617,f19578])). 15.15/2.50 tff(f617,plain,( 15.15/2.50 spl30_22 <=> eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_22])])). 15.15/2.50 tff(f19612,plain,( 15.15/2.50 ~$less(sK16,sK5) | (~spl30_22 | ~spl30_453)), 15.15/2.50 inference(resolution,[],[f19513,f619])). 15.15/2.50 tff(f619,plain,( 15.15/2.50 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5) | ~spl30_22), 15.15/2.50 inference(avatar_component_clause,[],[f617])). 15.15/2.50 tff(f19581,plain,( 15.15/2.50 ~spl30_456 | ~spl30_88), 15.15/2.50 inference(avatar_split_clause,[],[f19576,f1967,f19578])). 15.15/2.50 tff(f19576,plain,( 15.15/2.50 ~$less(sK16,sK5) | ~spl30_88), 15.15/2.50 inference(equality_resolution,[],[f1968])). 15.15/2.50 tff(f1968,plain,( 15.15/2.50 ( ! [X3 : $int] : (sK5 != X3 | ~$less(sK16,X3)) ) | ~spl30_88), 15.15/2.50 inference(avatar_component_clause,[],[f1967])). 15.15/2.50 tff(f19551,plain,( 15.15/2.50 spl30_440 | spl30_439 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19550,f19248,f19401,f19404])). 15.15/2.50 tff(f19404,plain,( 15.15/2.50 spl30_440 <=> ! [X0 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X0))) | ~$less(X0,sK16) | $less(X0,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_440])])). 15.15/2.50 tff(f19401,plain,( 15.15/2.50 spl30_439 <=> ! [X1 : $int] : (~$less(sK16,X1) | ~partial_solution1(X1,sK12))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_439])])). 15.15/2.50 tff(f19550,plain,( 15.15/2.50 ( ! [X158 : $int,X159 : $int] : (~$less(sK16,X159) | ~$less(X158,sK16) | sK15 != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X158))) | $less(X158,0) | ~partial_solution1(X159,sK12)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19549,f312])). 15.15/2.50 tff(f19549,plain,( 15.15/2.50 ( ! [X158 : $int,X159 : $int] : (~$less(X158,sK16) | sK15 != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X158))) | $less(X158,0) | ~$less(tb2t1(t2tb1(sK16)),X159) | ~partial_solution1(X159,sK12)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19548,f312])). 15.15/2.50 tff(f19548,plain,( 15.15/2.50 ( ! [X158 : $int,X159 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X158))) | $less(X158,0) | ~$less(X158,tb2t1(t2tb1(sK16))) | ~$less(tb2t1(t2tb1(sK16)),X159) | ~partial_solution1(X159,sK12)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19344,f312])). 15.15/2.50 tff(f19344,plain,( 15.15/2.50 ( ! [X158 : $int,X159 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X158))) | $less(X158,0) | ~$less(X158,tb2t1(t2tb1(sK16))) | ~$less(tb2t1(t2tb1(sK16)),X159) | ~partial_solution1(X159,sK12)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f10305,f19250])). 15.15/2.50 tff(f19547,plain,( 15.15/2.50 spl30_100 | spl30_455 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19543,f19248,f590,f19545,f2193])). 15.15/2.50 tff(f19545,plain,( 15.15/2.50 spl30_455 <=> ! [X157 : $int,X156 : map_int_int,X154 : $int] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X156),sK16) | lt_sol1(sK12,X156) | tb2t1(get(int,int,t2tb2(X156),t2tb1(sK16))) != X157 | sK15 != X154 | ~$less(X154,X157))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_455])])). 15.15/2.50 tff(f19543,plain,( 15.15/2.50 ( ! [X155 : $int,X156 : map_int_int,X157 : $int,X154 : $int] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(X156),sK16) | ~$less(sK16,X155) | sK15 != X154 | n1 != X155 | tb2t1(get(int,int,t2tb2(X156),t2tb1(sK16))) != X157 | lt_sol1(sK12,X156) | ~$less(X154,X157)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19542,f312])). 15.15/2.50 tff(f19542,plain,( 15.15/2.50 ( ! [X155 : $int,X156 : map_int_int,X157 : $int,X154 : $int] : (~$less(sK16,X155) | sK15 != X154 | n1 != X155 | tb2t1(get(int,int,t2tb2(X156),t2tb1(sK16))) != X157 | lt_sol1(sK12,X156) | ~$less(X154,X157) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X156),tb2t1(t2tb1(sK16)))) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19541,f312])). 15.15/2.50 tff(f19541,plain,( 15.15/2.50 ( ! [X155 : $int,X156 : map_int_int,X157 : $int,X154 : $int] : (sK15 != X154 | n1 != X155 | ~$less(tb2t1(t2tb1(sK16)),X155) | tb2t1(get(int,int,t2tb2(X156),t2tb1(sK16))) != X157 | lt_sol1(sK12,X156) | ~$less(X154,X157) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X156),tb2t1(t2tb1(sK16)))) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19540,f592])). 15.15/2.50 tff(f19540,plain,( 15.15/2.50 ( ! [X155 : $int,X156 : map_int_int,X157 : $int,X154 : $int] : ($less(sK16,0) | sK15 != X154 | n1 != X155 | ~$less(tb2t1(t2tb1(sK16)),X155) | tb2t1(get(int,int,t2tb2(X156),t2tb1(sK16))) != X157 | lt_sol1(sK12,X156) | ~$less(X154,X157) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X156),tb2t1(t2tb1(sK16)))) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19539,f312])). 15.15/2.50 tff(f19539,plain,( 15.15/2.50 ( ! [X155 : $int,X156 : map_int_int,X157 : $int,X154 : $int] : (sK15 != X154 | $less(tb2t1(t2tb1(sK16)),0) | n1 != X155 | ~$less(tb2t1(t2tb1(sK16)),X155) | tb2t1(get(int,int,t2tb2(X156),t2tb1(sK16))) != X157 | lt_sol1(sK12,X156) | ~$less(X154,X157) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X156),tb2t1(t2tb1(sK16)))) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19343,f312])). 15.15/2.50 tff(f19343,plain,( 15.15/2.50 ( ! [X155 : $int,X156 : map_int_int,X157 : $int,X154 : $int] : (tb2t1(t2tb1(sK15)) != X154 | $less(tb2t1(t2tb1(sK16)),0) | n1 != X155 | ~$less(tb2t1(t2tb1(sK16)),X155) | tb2t1(get(int,int,t2tb2(X156),t2tb1(sK16))) != X157 | lt_sol1(sK12,X156) | ~$less(X154,X157) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X156),tb2t1(t2tb1(sK16)))) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f2182,f19250])). 15.15/2.50 tff(f19529,plain,( 15.15/2.50 spl30_440 | spl30_439 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19528,f19248,f19401,f19404])). 15.15/2.50 tff(f19528,plain,( 15.15/2.50 ( ! [X134 : $int,X135 : $int] : (~partial_solution1(X135,sK12) | sK15 != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X134))) | $less(X134,0) | ~$less(X134,sK16) | ~$less(sK16,X135)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19527,f310])). 15.15/2.50 tff(f19527,plain,( 15.15/2.50 ( ! [X134 : $int,X135 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X134))) | $less(X134,0) | ~$less(X134,sK16) | ~$less(sK16,X135) | ~partial_solution1(X135,tb2t2(t2tb2(sK12)))) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19337,f312])). 15.15/2.50 tff(f19337,plain,( 15.15/2.50 ( ! [X134 : $int,X135 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X134))) | $less(X134,0) | ~$less(X134,sK16) | ~$less(sK16,X135) | ~partial_solution1(X135,tb2t2(t2tb2(sK12)))) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f7834,f19250])). 15.15/2.50 tff(f19526,plain,( 15.15/2.50 spl30_454 | spl30_88 | spl30_291 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19525,f19248,f590,f10951,f1967,f19518])). 15.15/2.50 tff(f19518,plain,( 15.15/2.50 spl30_454 <=> ! [X123 : $int] : (~$less(sK16,X123) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X123))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_454])])). 15.15/2.50 tff(f19525,plain,( 15.15/2.50 ( ! [X132 : $int,X133 : $int,X130 : $int,X131 : $int,X129 : $int] : (sK15 != X129 | sK5 != X130 | $sum($sum(X131,X130),$uminus(sK16)) != X129 | sK5 != X132 | ~$less(sK16,X132) | mem(int,t2tb1(X131),t2tb(sK2)) | $less(X131,0) | ~$less(sK16,X133) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X133)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19524,f312])). 15.15/2.50 tff(f19524,plain,( 15.15/2.50 ( ! [X132 : $int,X133 : $int,X130 : $int,X131 : $int,X129 : $int] : (tb2t1(t2tb1(sK15)) != X129 | sK5 != X130 | $sum($sum(X131,X130),$uminus(sK16)) != X129 | sK5 != X132 | ~$less(sK16,X132) | mem(int,t2tb1(X131),t2tb(sK2)) | $less(X131,0) | ~$less(sK16,X133) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X133)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19336,f592])). 15.15/2.50 tff(f19336,plain,( 15.15/2.50 ( ! [X132 : $int,X133 : $int,X130 : $int,X131 : $int,X129 : $int] : (tb2t1(t2tb1(sK15)) != X129 | sK5 != X130 | $sum($sum(X131,X130),$uminus(sK16)) != X129 | sK5 != X132 | ~$less(sK16,X132) | $less(sK16,0) | mem(int,t2tb1(X131),t2tb(sK2)) | $less(X131,0) | ~$less(sK16,X133) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X133)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f1991,f19250])). 15.15/2.50 tff(f19523,plain,( 15.15/2.50 spl30_453 | spl30_88 | spl30_291 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19522,f19248,f590,f10951,f1967,f19512])). 15.15/2.50 tff(f19522,plain,( 15.15/2.50 ( ! [X126 : $int,X127 : $int,X124 : $int,X125 : $int,X128 : $int] : (sK15 != X124 | sK5 != X125 | $sum($sum(X126,X125),$uminus(sK16)) != X124 | sK5 != X127 | ~$less(sK16,X127) | mem(int,t2tb1(X126),t2tb(sK2)) | $less(X126,0) | ~$less(sK16,X128) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X128)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19521,f312])). 15.15/2.50 tff(f19521,plain,( 15.15/2.50 ( ! [X126 : $int,X127 : $int,X124 : $int,X125 : $int,X128 : $int] : (tb2t1(t2tb1(sK15)) != X124 | sK5 != X125 | $sum($sum(X126,X125),$uminus(sK16)) != X124 | sK5 != X127 | ~$less(sK16,X127) | mem(int,t2tb1(X126),t2tb(sK2)) | $less(X126,0) | ~$less(sK16,X128) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X128)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19335,f592])). 15.15/2.50 tff(f19335,plain,( 15.15/2.50 ( ! [X126 : $int,X127 : $int,X124 : $int,X125 : $int,X128 : $int] : (tb2t1(t2tb1(sK15)) != X124 | sK5 != X125 | $sum($sum(X126,X125),$uminus(sK16)) != X124 | sK5 != X127 | ~$less(sK16,X127) | $less(sK16,0) | mem(int,t2tb1(X126),t2tb(sK2)) | $less(X126,0) | ~$less(sK16,X128) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X128)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f1990,f19250])). 15.15/2.50 tff(f19520,plain,( 15.15/2.50 spl30_454 | spl30_88 | spl30_89 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19516,f19248,f590,f1970,f1967,f19518])). 15.15/2.50 tff(f19516,plain,( 15.15/2.50 ( ! [X120 : $int,X121 : $int,X119 : $int,X122 : $int,X123 : $int] : (sK15 != X119 | sK5 != X120 | $sum($sum(X121,sK16),$uminus(X120)) != X119 | sK5 != X122 | ~$less(sK16,X122) | mem(int,t2tb1(X121),t2tb(sK1)) | $less(X121,0) | ~$less(sK16,X123) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X123)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19515,f312])). 15.15/2.50 tff(f19515,plain,( 15.15/2.50 ( ! [X120 : $int,X121 : $int,X119 : $int,X122 : $int,X123 : $int] : (tb2t1(t2tb1(sK15)) != X119 | sK5 != X120 | $sum($sum(X121,sK16),$uminus(X120)) != X119 | sK5 != X122 | ~$less(sK16,X122) | mem(int,t2tb1(X121),t2tb(sK1)) | $less(X121,0) | ~$less(sK16,X123) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X123)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19334,f592])). 15.15/2.50 tff(f19334,plain,( 15.15/2.50 ( ! [X120 : $int,X121 : $int,X119 : $int,X122 : $int,X123 : $int] : (tb2t1(t2tb1(sK15)) != X119 | sK5 != X120 | $sum($sum(X121,sK16),$uminus(X120)) != X119 | $less(sK16,0) | sK5 != X122 | ~$less(sK16,X122) | mem(int,t2tb1(X121),t2tb(sK1)) | $less(X121,0) | ~$less(sK16,X123) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X123)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f1959,f19250])). 15.15/2.50 tff(f19514,plain,( 15.15/2.50 spl30_453 | spl30_88 | spl30_89 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19510,f19248,f590,f1970,f1967,f19512])). 15.15/2.50 tff(f19510,plain,( 15.15/2.50 ( ! [X118 : $int,X116 : $int,X117 : $int,X114 : $int,X115 : $int] : (sK15 != X114 | sK5 != X115 | $sum($sum(X116,sK16),$uminus(X115)) != X114 | sK5 != X117 | ~$less(sK16,X117) | mem(int,t2tb1(X116),t2tb(sK1)) | $less(X116,0) | ~$less(sK16,X118) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X118)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19509,f312])). 15.15/2.50 tff(f19509,plain,( 15.15/2.50 ( ! [X118 : $int,X116 : $int,X117 : $int,X114 : $int,X115 : $int] : (tb2t1(t2tb1(sK15)) != X114 | sK5 != X115 | $sum($sum(X116,sK16),$uminus(X115)) != X114 | sK5 != X117 | ~$less(sK16,X117) | mem(int,t2tb1(X116),t2tb(sK1)) | $less(X116,0) | ~$less(sK16,X118) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X118)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19333,f592])). 15.15/2.50 tff(f19333,plain,( 15.15/2.50 ( ! [X118 : $int,X116 : $int,X117 : $int,X114 : $int,X115 : $int] : (tb2t1(t2tb1(sK15)) != X114 | sK5 != X115 | $sum($sum(X116,sK16),$uminus(X115)) != X114 | $less(sK16,0) | sK5 != X117 | ~$less(sK16,X117) | mem(int,t2tb1(X116),t2tb(sK1)) | $less(X116,0) | ~$less(sK16,X118) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X118)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f1958,f19250])). 15.15/2.50 tff(f19496,plain,( 15.15/2.50 spl30_439 | spl30_452 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19492,f19248,f19494,f19401])). 15.15/2.50 tff(f19494,plain,( 15.15/2.50 spl30_452 <=> ! [X88 : $int,X85 : $int,X87 : $int,X90 : $int,X86 : uni] : (sK15 != X85 | ~eq_prefix1(int,X86,t2tb2(sK12),X90) | ~$less(X87,X90) | ~$less(X87,sK16) | $less(X87,0) | $sum(X85,$uminus(X88)) != $sum(sK16,$uminus(X87)) | tb2t1(get(int,int,X86,t2tb1(X87))) != X88)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_452])])). 15.15/2.50 tff(f19492,plain,( 15.15/2.50 ( ! [X90 : $int,X88 : $int,X86 : uni,X89 : $int,X87 : $int,X85 : $int] : (sK15 != X85 | tb2t1(get(int,int,X86,t2tb1(X87))) != X88 | $sum(X85,$uminus(X88)) != $sum(sK16,$uminus(X87)) | $less(X87,0) | ~$less(X87,sK16) | ~$less(sK16,X89) | ~partial_solution1(X89,sK12) | ~$less(X87,X90) | ~eq_prefix1(int,X86,t2tb2(sK12),X90)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19326,f312])). 15.15/2.50 tff(f19326,plain,( 15.15/2.50 ( ! [X90 : $int,X88 : $int,X86 : uni,X89 : $int,X87 : $int,X85 : $int] : (tb2t1(t2tb1(sK15)) != X85 | tb2t1(get(int,int,X86,t2tb1(X87))) != X88 | $sum(X85,$uminus(X88)) != $sum(sK16,$uminus(X87)) | $less(X87,0) | ~$less(X87,sK16) | ~$less(sK16,X89) | ~partial_solution1(X89,sK12) | ~$less(X87,X90) | ~eq_prefix1(int,X86,t2tb2(sK12),X90)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f14541,f19250])). 15.15/2.50 tff(f19491,plain,( 15.15/2.50 spl30_439 | spl30_451 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19487,f19248,f19489,f19401])). 15.15/2.50 tff(f19489,plain,( 15.15/2.50 spl30_451 <=> ! [X81 : $int,X84 : $int,X80 : uni,X82 : $int,X79 : $int] : (sK15 != X79 | ~eq_prefix1(int,t2tb2(sK12),X80,X84) | ~$less(X81,X84) | ~$less(X81,sK16) | $less(X81,0) | $sum(X79,$uminus(X82)) != $sum(sK16,$uminus(X81)) | tb2t1(get(int,int,X80,t2tb1(X81))) != X82)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_451])])). 15.15/2.50 tff(f19487,plain,( 15.15/2.50 ( ! [X82 : $int,X83 : $int,X80 : uni,X81 : $int,X79 : $int,X84 : $int] : (sK15 != X79 | tb2t1(get(int,int,X80,t2tb1(X81))) != X82 | $sum(X79,$uminus(X82)) != $sum(sK16,$uminus(X81)) | $less(X81,0) | ~$less(X81,sK16) | ~$less(sK16,X83) | ~partial_solution1(X83,sK12) | ~$less(X81,X84) | ~eq_prefix1(int,t2tb2(sK12),X80,X84)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19325,f312])). 15.15/2.50 tff(f19325,plain,( 15.15/2.50 ( ! [X82 : $int,X83 : $int,X80 : uni,X81 : $int,X79 : $int,X84 : $int] : (tb2t1(t2tb1(sK15)) != X79 | tb2t1(get(int,int,X80,t2tb1(X81))) != X82 | $sum(X79,$uminus(X82)) != $sum(sK16,$uminus(X81)) | $less(X81,0) | ~$less(X81,sK16) | ~$less(sK16,X83) | ~partial_solution1(X83,sK12) | ~$less(X81,X84) | ~eq_prefix1(int,t2tb2(sK12),X80,X84)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f14490,f19250])). 15.15/2.50 tff(f19486,plain,( 15.15/2.50 spl30_439 | spl30_450 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19482,f19248,f19484,f19401])). 15.15/2.50 tff(f19484,plain,( 15.15/2.50 spl30_450 <=> ! [X76 : $int,X74 : uni,X75 : $int,X78 : $int,X73 : $int] : (sK15 != X73 | ~eq_prefix1(int,X74,t2tb2(sK12),X78) | ~$less(X75,X78) | ~$less(X75,sK16) | $less(X75,0) | $sum(X73,$uminus(X76)) != $sum(X75,$uminus(sK16)) | tb2t1(get(int,int,X74,t2tb1(X75))) != X76)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_450])])). 15.15/2.50 tff(f19482,plain,( 15.15/2.50 ( ! [X73 : $int,X78 : $int,X76 : $int,X77 : $int,X74 : uni,X75 : $int] : (sK15 != X73 | tb2t1(get(int,int,X74,t2tb1(X75))) != X76 | $sum(X73,$uminus(X76)) != $sum(X75,$uminus(sK16)) | $less(X75,0) | ~$less(X75,sK16) | ~$less(sK16,X77) | ~partial_solution1(X77,sK12) | ~$less(X75,X78) | ~eq_prefix1(int,X74,t2tb2(sK12),X78)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19324,f312])). 15.15/2.50 tff(f19324,plain,( 15.15/2.50 ( ! [X73 : $int,X78 : $int,X76 : $int,X77 : $int,X74 : uni,X75 : $int] : (tb2t1(t2tb1(sK15)) != X73 | tb2t1(get(int,int,X74,t2tb1(X75))) != X76 | $sum(X73,$uminus(X76)) != $sum(X75,$uminus(sK16)) | $less(X75,0) | ~$less(X75,sK16) | ~$less(sK16,X77) | ~partial_solution1(X77,sK12) | ~$less(X75,X78) | ~eq_prefix1(int,X74,t2tb2(sK12),X78)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f14435,f19250])). 15.15/2.50 tff(f19481,plain,( 15.15/2.50 spl30_439 | spl30_449 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19477,f19248,f19479,f19401])). 15.15/2.50 tff(f19479,plain,( 15.15/2.50 spl30_449 <=> ! [X70 : $int,X72 : $int,X69 : $int,X67 : $int,X68 : uni] : (sK15 != X67 | ~eq_prefix1(int,t2tb2(sK12),X68,X72) | ~$less(X69,X72) | ~$less(X69,sK16) | $less(X69,0) | $sum(X67,$uminus(X70)) != $sum(X69,$uminus(sK16)) | tb2t1(get(int,int,X68,t2tb1(X69))) != X70)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_449])])). 15.15/2.50 tff(f19477,plain,( 15.15/2.50 ( ! [X72 : $int,X70 : $int,X71 : $int,X68 : uni,X69 : $int,X67 : $int] : (sK15 != X67 | tb2t1(get(int,int,X68,t2tb1(X69))) != X70 | $sum(X67,$uminus(X70)) != $sum(X69,$uminus(sK16)) | $less(X69,0) | ~$less(X69,sK16) | ~$less(sK16,X71) | ~partial_solution1(X71,sK12) | ~$less(X69,X72) | ~eq_prefix1(int,t2tb2(sK12),X68,X72)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19323,f312])). 15.15/2.50 tff(f19323,plain,( 15.15/2.50 ( ! [X72 : $int,X70 : $int,X71 : $int,X68 : uni,X69 : $int,X67 : $int] : (tb2t1(t2tb1(sK15)) != X67 | tb2t1(get(int,int,X68,t2tb1(X69))) != X70 | $sum(X67,$uminus(X70)) != $sum(X69,$uminus(sK16)) | $less(X69,0) | ~$less(X69,sK16) | ~$less(sK16,X71) | ~partial_solution1(X71,sK12) | ~$less(X69,X72) | ~eq_prefix1(int,t2tb2(sK12),X68,X72)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f14321,f19250])). 15.15/2.50 tff(f19468,plain,( 15.15/2.50 spl30_439 | spl30_448 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19464,f19248,f19466,f19401])). 15.15/2.50 tff(f19466,plain,( 15.15/2.50 spl30_448 <=> ! [X50 : $int,X52 : $int,X49 : uni] : (sK15 != tb2t1(get(int,int,X49,t2tb1(X50))) | ~eq_prefix1(int,X49,t2tb2(sK12),X52) | ~$less(X50,X52) | ~$less(X50,sK16) | $less(X50,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_448])])). 15.15/2.50 tff(f19464,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : uni,X52 : $int] : (sK15 != tb2t1(get(int,int,X49,t2tb1(X50))) | $less(X50,0) | ~$less(X50,sK16) | ~$less(sK16,X51) | ~partial_solution1(X51,sK12) | ~$less(X50,X52) | ~eq_prefix1(int,X49,t2tb2(sK12),X52)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19318,f312])). 15.15/2.50 tff(f19318,plain,( 15.15/2.50 ( ! [X50 : $int,X51 : $int,X49 : uni,X52 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,X49,t2tb1(X50))) | $less(X50,0) | ~$less(X50,sK16) | ~$less(sK16,X51) | ~partial_solution1(X51,sK12) | ~$less(X50,X52) | ~eq_prefix1(int,X49,t2tb2(sK12),X52)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f11734,f19250])). 15.15/2.50 tff(f19463,plain,( 15.15/2.50 spl30_439 | spl30_447 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19459,f19248,f19461,f19401])). 15.15/2.50 tff(f19461,plain,( 15.15/2.50 spl30_447 <=> ! [X45 : uni,X48 : $int,X46 : $int] : (sK15 != tb2t1(get(int,int,X45,t2tb1(X46))) | ~eq_prefix1(int,t2tb2(sK12),X45,X48) | ~$less(X46,X48) | ~$less(X46,sK16) | $less(X46,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_447])])). 15.15/2.50 tff(f19459,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : $int,X45 : uni] : (sK15 != tb2t1(get(int,int,X45,t2tb1(X46))) | $less(X46,0) | ~$less(X46,sK16) | ~$less(sK16,X47) | ~partial_solution1(X47,sK12) | ~$less(X46,X48) | ~eq_prefix1(int,t2tb2(sK12),X45,X48)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19317,f312])). 15.15/2.50 tff(f19317,plain,( 15.15/2.50 ( ! [X48 : $int,X46 : $int,X47 : $int,X45 : uni] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,X45,t2tb1(X46))) | $less(X46,0) | ~$less(X46,sK16) | ~$less(sK16,X47) | ~partial_solution1(X47,sK12) | ~$less(X46,X48) | ~eq_prefix1(int,t2tb2(sK12),X45,X48)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f11632,f19250])). 15.15/2.50 tff(f19456,plain,( 15.15/2.50 spl30_439 | spl30_446 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19452,f19248,f19454,f19401])). 15.15/2.50 tff(f19454,plain,( 15.15/2.50 spl30_446 <=> ! [X41 : uni] : (sK15 != tb2t1(get(int,int,t2tb2(sK12),X41)) | ~$less(tb2t1(X41),sK16) | $less(tb2t1(X41),0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_446])])). 15.15/2.50 tff(f19452,plain,( 15.15/2.50 ( ! [X41 : uni,X42 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK12),X41)) | $less(tb2t1(X41),0) | ~$less(tb2t1(X41),sK16) | ~$less(sK16,X42) | ~partial_solution1(X42,sK12)) ) | ~spl30_438), 15.15/2.50 inference(forward_demodulation,[],[f19315,f312])). 15.15/2.50 tff(f19315,plain,( 15.15/2.50 ( ! [X41 : uni,X42 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,t2tb2(sK12),X41)) | $less(tb2t1(X41),0) | ~$less(tb2t1(X41),sK16) | ~$less(sK16,X42) | ~partial_solution1(X42,sK12)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f9649,f19250])). 15.15/2.50 tff(f19451,plain,( 15.15/2.50 spl30_100 | spl30_445 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19447,f19248,f590,f19449,f2193])). 15.15/2.50 tff(f19449,plain,( 15.15/2.50 spl30_445 <=> ! [X38 : $int,X37 : uni,X40 : $int,X35 : $int,X39 : map_int_int] : (sK15 != X35 | ~eq_prefix1(int,X37,t2tb2(X39),X40) | ~$less(sK16,X40) | ~$less(X35,X38) | lt_sol1(sK12,X39) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X39),sK16) | tb2t1(get(int,int,X37,t2tb1(sK16))) != X38)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_445])])). 15.15/2.50 tff(f19447,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : $int,X39 : map_int_int,X36 : $int,X37 : uni,X35 : $int] : (sK15 != X35 | n1 != X36 | ~$less(sK16,X36) | tb2t1(get(int,int,X37,t2tb1(sK16))) != X38 | lt_sol1(sK12,X39) | ~$less(X35,X38) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X39),sK16) | ~$less(sK16,X40) | ~eq_prefix1(int,X37,t2tb2(X39),X40)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19446,f312])). 15.15/2.50 tff(f19446,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : $int,X39 : map_int_int,X36 : $int,X37 : uni,X35 : $int] : (tb2t1(t2tb1(sK15)) != X35 | n1 != X36 | ~$less(sK16,X36) | tb2t1(get(int,int,X37,t2tb1(sK16))) != X38 | lt_sol1(sK12,X39) | ~$less(X35,X38) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X39),sK16) | ~$less(sK16,X40) | ~eq_prefix1(int,X37,t2tb2(X39),X40)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19314,f592])). 15.15/2.50 tff(f19314,plain,( 15.15/2.50 ( ! [X40 : $int,X38 : $int,X39 : map_int_int,X36 : $int,X37 : uni,X35 : $int] : (tb2t1(t2tb1(sK15)) != X35 | $less(sK16,0) | n1 != X36 | ~$less(sK16,X36) | tb2t1(get(int,int,X37,t2tb1(sK16))) != X38 | lt_sol1(sK12,X39) | ~$less(X35,X38) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X39),sK16) | ~$less(sK16,X40) | ~eq_prefix1(int,X37,t2tb2(X39),X40)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f2189,f19250])). 15.15/2.50 tff(f19445,plain,( 15.15/2.50 spl30_100 | spl30_444 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19441,f19248,f590,f19443,f2193])). 15.15/2.50 tff(f19443,plain,( 15.15/2.50 spl30_444 <=> ! [X31 : uni,X33 : map_int_int,X34 : $int,X29 : $int,X32 : $int] : (sK15 != X29 | ~eq_prefix1(int,t2tb2(X33),X31,X34) | ~$less(sK16,X34) | ~$less(X29,X32) | lt_sol1(sK12,X33) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X33),sK16) | tb2t1(get(int,int,X31,t2tb1(sK16))) != X32)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_444])])). 15.15/2.50 tff(f19441,plain,( 15.15/2.50 ( ! [X31 : uni,X29 : $int,X34 : $int,X32 : $int,X30 : $int,X33 : map_int_int] : (sK15 != X29 | n1 != X30 | ~$less(sK16,X30) | tb2t1(get(int,int,X31,t2tb1(sK16))) != X32 | lt_sol1(sK12,X33) | ~$less(X29,X32) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X33),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(X33),X31,X34)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19440,f312])). 15.15/2.50 tff(f19440,plain,( 15.15/2.50 ( ! [X31 : uni,X29 : $int,X34 : $int,X32 : $int,X30 : $int,X33 : map_int_int] : (tb2t1(t2tb1(sK15)) != X29 | n1 != X30 | ~$less(sK16,X30) | tb2t1(get(int,int,X31,t2tb1(sK16))) != X32 | lt_sol1(sK12,X33) | ~$less(X29,X32) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X33),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(X33),X31,X34)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19313,f592])). 15.15/2.50 tff(f19313,plain,( 15.15/2.50 ( ! [X31 : uni,X29 : $int,X34 : $int,X32 : $int,X30 : $int,X33 : map_int_int] : (tb2t1(t2tb1(sK15)) != X29 | $less(sK16,0) | n1 != X30 | ~$less(sK16,X30) | tb2t1(get(int,int,X31,t2tb1(sK16))) != X32 | lt_sol1(sK12,X33) | ~$less(X29,X32) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X33),sK16) | ~$less(sK16,X34) | ~eq_prefix1(int,t2tb2(X33),X31,X34)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f2188,f19250])). 15.15/2.50 tff(f19439,plain,( 15.15/2.50 spl30_100 | spl30_443 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19435,f19248,f590,f19437,f2193])). 15.15/2.50 tff(f19437,plain,( 15.15/2.50 spl30_443 <=> ! [X28 : map_int_int,X26 : $int] : (sK15 != X26 | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X28),sK16) | ~$less(X26,tb2t1(get(int,int,t2tb2(X28),t2tb1(sK16)))) | lt_sol1(sK12,X28))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_443])])). 15.15/2.50 tff(f19435,plain,( 15.15/2.50 ( ! [X28 : map_int_int,X26 : $int,X27 : $int] : (sK15 != X26 | n1 != X27 | ~$less(sK16,X27) | lt_sol1(sK12,X28) | ~$less(X26,tb2t1(get(int,int,t2tb2(X28),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X28),sK16)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19434,f312])). 15.15/2.50 tff(f19434,plain,( 15.15/2.50 ( ! [X28 : map_int_int,X26 : $int,X27 : $int] : (tb2t1(t2tb1(sK15)) != X26 | n1 != X27 | ~$less(sK16,X27) | lt_sol1(sK12,X28) | ~$less(X26,tb2t1(get(int,int,t2tb2(X28),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X28),sK16)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19312,f592])). 15.15/2.50 tff(f19312,plain,( 15.15/2.50 ( ! [X28 : map_int_int,X26 : $int,X27 : $int] : (tb2t1(t2tb1(sK15)) != X26 | n1 != X27 | ~$less(sK16,X27) | $less(sK16,0) | lt_sol1(sK12,X28) | ~$less(X26,tb2t1(get(int,int,t2tb2(X28),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X28),sK16)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f2187,f19250])). 15.15/2.50 tff(f19433,plain,( 15.15/2.50 spl30_100 | spl30_442 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19429,f19248,f590,f19431,f2193])). 15.15/2.50 tff(f19431,plain,( 15.15/2.50 spl30_442 <=> ! [X22 : $int,X25 : $int,X24 : uni] : (sK15 != X22 | ~eq_prefix1(int,t2tb2(sK12),X24,sK16) | ~$less(X22,X25) | tb2t1(get(int,int,X24,t2tb1(sK16))) != X25 | lt_sol1(sK12,tb2t2(X24)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_442])])). 15.15/2.50 tff(f19429,plain,( 15.15/2.50 ( ! [X24 : uni,X22 : $int,X25 : $int,X23 : $int] : (sK15 != X22 | n1 != X23 | ~$less(sK16,X23) | tb2t1(get(int,int,X24,t2tb1(sK16))) != X25 | lt_sol1(sK12,tb2t2(X24)) | ~$less(X22,X25) | ~eq_prefix1(int,t2tb2(sK12),X24,sK16)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19428,f312])). 15.15/2.50 tff(f19428,plain,( 15.15/2.50 ( ! [X24 : uni,X22 : $int,X25 : $int,X23 : $int] : (tb2t1(t2tb1(sK15)) != X22 | n1 != X23 | ~$less(sK16,X23) | tb2t1(get(int,int,X24,t2tb1(sK16))) != X25 | lt_sol1(sK12,tb2t2(X24)) | ~$less(X22,X25) | ~eq_prefix1(int,t2tb2(sK12),X24,sK16)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19311,f592])). 15.15/2.50 tff(f19311,plain,( 15.15/2.50 ( ! [X24 : uni,X22 : $int,X25 : $int,X23 : $int] : (tb2t1(t2tb1(sK15)) != X22 | $less(sK16,0) | n1 != X23 | ~$less(sK16,X23) | tb2t1(get(int,int,X24,t2tb1(sK16))) != X25 | lt_sol1(sK12,tb2t2(X24)) | ~$less(X22,X25) | ~eq_prefix1(int,t2tb2(sK12),X24,sK16)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f2181,f19250])). 15.15/2.50 tff(f19425,plain,( 15.15/2.50 spl30_100 | spl30_441 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19421,f19248,f590,f19423,f2193])). 15.15/2.50 tff(f19423,plain,( 15.15/2.50 spl30_441 <=> ! [X20 : $int,X17 : $int,X19 : map_int_int] : (sK15 != X17 | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK12),sK16) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20 | ~$less(X20,X17) | lt_sol1(X19,sK12))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_441])])). 15.15/2.50 tff(f19421,plain,( 15.15/2.50 ( ! [X18 : $int,X19 : map_int_int,X17 : $int,X20 : $int] : (sK15 != X17 | n1 != X18 | ~$less(sK16,X18) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20 | lt_sol1(X19,sK12) | ~$less(X20,X17) | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK12),sK16)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19420,f312])). 15.15/2.50 tff(f19420,plain,( 15.15/2.50 ( ! [X18 : $int,X19 : map_int_int,X17 : $int,X20 : $int] : (tb2t1(t2tb1(sK15)) != X17 | n1 != X18 | ~$less(sK16,X18) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20 | lt_sol1(X19,sK12) | ~$less(X20,X17) | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK12),sK16)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19309,f592])). 15.15/2.50 tff(f19309,plain,( 15.15/2.50 ( ! [X18 : $int,X19 : map_int_int,X17 : $int,X20 : $int] : (tb2t1(t2tb1(sK15)) != X17 | $less(sK16,0) | n1 != X18 | ~$less(sK16,X18) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20 | lt_sol1(X19,sK12) | ~$less(X20,X17) | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK12),sK16)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f475,f19250])). 15.15/2.50 tff(f19406,plain,( 15.15/2.50 spl30_439 | spl30_440 | spl30_19 | ~spl30_438), 15.15/2.50 inference(avatar_split_clause,[],[f19399,f19248,f590,f19404,f19401])). 15.15/2.50 tff(f19399,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1) | ~partial_solution1(X1,sK12)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(forward_demodulation,[],[f19398,f312])). 15.15/2.50 tff(f19398,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1) | ~partial_solution1(X1,sK12)) ) | (spl30_19 | ~spl30_438)), 15.15/2.50 inference(subsumption_resolution,[],[f19303,f592])). 15.15/2.50 tff(f19303,plain,( 15.15/2.50 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,t2tb2(sK12),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1) | $less(sK16,0) | ~partial_solution1(X1,sK12)) ) | ~spl30_438), 15.15/2.50 inference(superposition,[],[f340,f19250])). 15.15/2.50 tff(f19252,plain,( 15.15/2.50 spl30_437 | spl30_438 | ~spl30_26 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f19136,f768,f657,f19248,f19244])). 15.15/2.50 tff(f19244,plain,( 15.15/2.50 spl30_437 <=> t2tb1(sK16) = t2tb1(sK5)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_437])])). 15.15/2.50 tff(f19136,plain,( 15.15/2.50 t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16)) | t2tb1(sK16) = t2tb1(sK5) | (~spl30_26 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f659,f1817])). 15.15/2.50 tff(f1817,plain,( 15.15/2.50 ( ! [X0 : uni] : (get(int,int,t2tb2(sK13),X0) = get(int,int,t2tb2(sK12),X0) | t2tb1(sK5) = X0) ) | ~spl30_38), 15.15/2.50 inference(subsumption_resolution,[],[f1816,f305])). 15.15/2.50 tff(f1816,plain,( 15.15/2.50 ( ! [X0 : uni] : (get(int,int,t2tb2(sK13),X0) = get(int,int,t2tb2(sK12),X0) | t2tb1(sK5) = X0 | ~sort1(int,t2tb1(sK5))) ) | ~spl30_38), 15.15/2.50 inference(subsumption_resolution,[],[f1808,f613])). 15.15/2.50 tff(f1808,plain,( 15.15/2.50 ( ! [X0 : uni] : (get(int,int,t2tb2(sK13),X0) = get(int,int,t2tb2(sK12),X0) | t2tb1(sK5) = X0 | ~sort1(int,X0) | ~sort1(int,t2tb1(sK5))) ) | ~spl30_38), 15.15/2.50 inference(superposition,[],[f423,f770])). 15.15/2.50 tff(f423,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4 | ~sort1(X0,X4) | ~sort1(X0,X3)) )), 15.15/2.50 inference(cnf_transformation,[],[f203])). 15.15/2.50 tff(f203,plain,( 15.15/2.50 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (! [X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort1(X0,X4) | ~sort1(X0,X3))), 15.15/2.50 inference(flattening,[],[f202])). 15.15/2.50 tff(f202,plain,( 15.15/2.50 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : ((! [X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort1(X0,X4)) | ~sort1(X0,X3))), 15.15/2.50 inference(ennf_transformation,[],[f156])). 15.15/2.50 tff(f156,plain,( 15.15/2.50 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (sort1(X0,X3) => (sort1(X0,X4) => ! [X5 : uni] : (X3 != X4 => get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4))))), 15.15/2.50 inference(rectify,[],[f35])). 15.15/2.50 tff(f35,axiom,( 15.15/2.50 ! [X0 : ty,X8 : ty,X9 : uni,X10 : uni,X11 : uni] : (sort1(X0,X10) => (sort1(X0,X11) => ! [X12 : uni] : (X10 != X11 => get(X8,X0,set1(X8,X0,X9,X10,X12),X11) = get(X8,X0,X9,X11))))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_neq)). 15.15/2.50 tff(f19251,plain,( 15.15/2.50 spl30_437 | spl30_438 | ~spl30_26 | ~spl30_38), 15.15/2.50 inference(avatar_split_clause,[],[f19120,f768,f657,f19248,f19244])). 15.15/2.50 tff(f19120,plain,( 15.15/2.50 t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16)) | t2tb1(sK16) = t2tb1(sK5) | (~spl30_26 | ~spl30_38)), 15.15/2.50 inference(superposition,[],[f1817,f659])). 15.15/2.50 tff(f18774,plain,( 15.15/2.50 ~spl30_436 | spl30_140), 15.15/2.50 inference(avatar_split_clause,[],[f18773,f3689,f18765])). 15.15/2.50 tff(f18773,plain,( 15.15/2.50 ~infix_eqeq(int,empty(int),t2tb(sK0)) | spl30_140), 15.15/2.50 inference(forward_demodulation,[],[f18759,f3971])). 15.15/2.50 tff(f18759,plain,( 15.15/2.50 ( ! [X38 : uni] : (~infix_eqeq(int,diff(int,X38,X38),t2tb(sK0))) ) | spl30_140), 15.15/2.50 inference(resolution,[],[f18410,f3807])). 15.15/2.50 tff(f18410,plain,( 15.15/2.50 ( ! [X0 : uni] : (~subset(int,X0,t2tb(sK2)) | ~infix_eqeq(int,X0,t2tb(sK0))) ) | spl30_140), 15.15/2.50 inference(resolution,[],[f17099,f3303])). 15.15/2.50 tff(f18772,plain,( 15.15/2.50 ~spl30_436 | spl30_140 | ~spl30_147), 15.15/2.50 inference(avatar_split_clause,[],[f18771,f4452,f3689,f18765])). 15.15/2.50 tff(f18771,plain,( 15.15/2.50 ~infix_eqeq(int,empty(int),t2tb(sK0)) | (spl30_140 | ~spl30_147)), 15.15/2.50 inference(forward_demodulation,[],[f18757,f4651])). 15.15/2.50 tff(f18757,plain,( 15.15/2.50 ( ! [X36 : uni] : (~infix_eqeq(int,inter(int,empty(int),X36),t2tb(sK0))) ) | spl30_140), 15.15/2.50 inference(resolution,[],[f18410,f3897])). 15.15/2.50 tff(f3897,plain,( 15.15/2.50 ( ! [X28 : uni,X29 : uni,X27 : ty] : (subset(X27,inter(X27,empty(X27),X28),X29)) )), 15.15/2.50 inference(resolution,[],[f998,f351])). 15.15/2.50 tff(f18770,plain,( 15.15/2.50 ~spl30_436 | spl30_140 | ~spl30_146), 15.15/2.50 inference(avatar_split_clause,[],[f18769,f4283,f3689,f18765])). 15.15/2.50 tff(f18769,plain,( 15.15/2.50 ~infix_eqeq(int,empty(int),t2tb(sK0)) | (spl30_140 | ~spl30_146)), 15.15/2.50 inference(forward_demodulation,[],[f18756,f4350])). 15.15/2.50 tff(f18756,plain,( 15.15/2.50 ( ! [X35 : uni] : (~infix_eqeq(int,inter(int,X35,empty(int)),t2tb(sK0))) ) | spl30_140), 15.15/2.50 inference(resolution,[],[f18410,f3818])). 15.15/2.50 tff(f3818,plain,( 15.15/2.50 ( ! [X28 : uni,X29 : uni,X27 : ty] : (subset(X27,inter(X27,X28,empty(X27)),X29)) )), 15.15/2.50 inference(resolution,[],[f952,f351])). 15.15/2.50 tff(f18768,plain,( 15.15/2.50 ~spl30_436 | spl30_140), 15.15/2.50 inference(avatar_split_clause,[],[f18743,f3689,f18765])). 15.15/2.50 tff(f18743,plain,( 15.15/2.50 ~infix_eqeq(int,empty(int),t2tb(sK0)) | spl30_140), 15.15/2.50 inference(resolution,[],[f18410,f905])). 15.15/2.50 tff(f905,plain,( 15.15/2.50 ( ! [X0 : ty,X1 : uni] : (subset(X0,empty(X0),X1)) )), 15.15/2.50 inference(resolution,[],[f382,f351])). 15.15/2.50 tff(f18687,plain,( 15.15/2.50 ~spl30_435 | spl30_5 | spl30_431), 15.15/2.50 inference(avatar_split_clause,[],[f18682,f18304,f509,f18684])). 15.15/2.50 tff(f18684,plain,( 15.15/2.50 spl30_435 <=> sK8 = below1(min_elt1(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_435])])). 15.15/2.50 tff(f18682,plain,( 15.15/2.50 sK8 != below1(min_elt1(sK0)) | (spl30_5 | spl30_431)), 15.15/2.50 inference(subsumption_resolution,[],[f18671,f511])). 15.15/2.50 tff(f18671,plain,( 15.15/2.50 sK8 != below1(min_elt1(sK0)) | is_empty(int,t2tb(sK8)) | spl30_431), 15.15/2.50 inference(constrained_resolution,[],[f18306,f334])). 15.15/2.50 tff(f18320,plain,( 15.15/2.50 spl30_433 | ~spl30_434 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f18296,f514,f18317,f18314])). 15.15/2.50 tff(f18314,plain,( 15.15/2.50 spl30_433 <=> ! [X2 : uni,X3 : $int] : (~mem(int,X2,t2tb(sK8)) | ~$less(tb2t1(X2),X3) | ~$less(X3,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_433])])). 15.15/2.50 tff(f18317,plain,( 15.15/2.50 spl30_434 <=> 0 = min_elt1(sK0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_434])])). 15.15/2.50 tff(f18296,plain,( 15.15/2.50 ( ! [X2 : uni,X3 : $int] : (0 != min_elt1(sK0) | ~mem(int,X2,t2tb(sK8)) | ~$less(X3,0) | ~$less(tb2t1(X2),X3)) ) | ~spl30_6), 15.15/2.50 inference(constrained_resolution,[],[f17896,f2595])). 15.15/2.50 tff(f18312,plain,( 15.15/2.50 spl30_430 | ~spl30_432 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f18295,f514,f18309,f18300])). 15.15/2.50 tff(f18300,plain,( 15.15/2.50 spl30_430 <=> is_empty(int,t2tb(below1(min_elt1(sK0))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_430])])). 15.15/2.50 tff(f18295,plain,( 15.15/2.50 ~mem(int,choose(int,t2tb(below1(min_elt1(sK0)))),t2tb(sK8)) | is_empty(int,t2tb(below1(min_elt1(sK0)))) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17896,f925])). 15.15/2.50 tff(f925,plain,( 15.15/2.50 ( ! [X3 : $int] : ($less(tb2t1(choose(int,t2tb(below1(X3)))),X3) | is_empty(int,t2tb(below1(X3)))) )), 15.15/2.50 inference(resolution,[],[f804,f335])). 15.15/2.50 tff(f18307,plain,( 15.15/2.50 spl30_430 | ~spl30_431 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f18294,f514,f18304,f18300])). 15.15/2.50 tff(f18294,plain,( 15.15/2.50 ~mem(int,sK21(int,t2tb(below1(min_elt1(sK0)))),t2tb(sK8)) | is_empty(int,t2tb(below1(min_elt1(sK0)))) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17896,f924])). 15.15/2.50 tff(f924,plain,( 15.15/2.50 ( ! [X2 : $int] : ($less(tb2t1(sK21(int,t2tb(below1(X2)))),X2) | is_empty(int,t2tb(below1(X2)))) )), 15.15/2.50 inference(resolution,[],[f804,f334])). 15.15/2.50 tff(f18098,plain,( 15.15/2.50 ~spl30_429 | spl30_365), 15.15/2.50 inference(avatar_split_clause,[],[f18084,f16374,f18095])). 15.15/2.50 tff(f18095,plain,( 15.15/2.50 spl30_429 <=> infix_eqeq(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_429])])). 15.15/2.50 tff(f18084,plain,( 15.15/2.50 ~infix_eqeq(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)) | spl30_365), 15.15/2.50 inference(resolution,[],[f16376,f3151])). 15.15/2.50 tff(f18093,plain,( 15.15/2.50 ~spl30_428 | spl30_365), 15.15/2.50 inference(avatar_split_clause,[],[f18083,f16374,f18090])). 15.15/2.50 tff(f18090,plain,( 15.15/2.50 spl30_428 <=> infix_eqeq(int,t2tb(sK2),diff(int,t2tb(sK0),t2tb(sK1)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_428])])). 15.15/2.50 tff(f18083,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK2),diff(int,t2tb(sK0),t2tb(sK1))) | spl30_365), 15.15/2.50 inference(resolution,[],[f16376,f3303])). 15.15/2.50 tff(f18071,plain,( 15.15/2.50 ~spl30_427 | ~spl30_3), 15.15/2.50 inference(avatar_split_clause,[],[f18022,f499,f18068])). 15.15/2.50 tff(f18068,plain,( 15.15/2.50 spl30_427 <=> is_empty(int,add(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_427])])). 15.15/2.50 tff(f18022,plain,( 15.15/2.50 ~is_empty(int,add(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | ~spl30_3), 15.15/2.50 inference(resolution,[],[f2009,f501])). 15.15/2.50 tff(f2009,plain,( 15.15/2.50 ( ! [X26 : uni,X24 : uni,X25 : uni,X23 : ty] : (~mem(X23,X24,remove(X23,X25,X26)) | ~is_empty(X23,add(X23,X25,X26))) )), 15.15/2.50 inference(resolution,[],[f1068,f1025])). 15.15/2.50 tff(f1025,plain,( 15.15/2.50 ( ! [X3 : ty,X4 : uni,X5 : uni] : (subset(X3,remove(X3,X4,X5),add(X3,X4,X5))) )), 15.15/2.50 inference(superposition,[],[f371,f374])). 15.15/2.50 tff(f374,plain,( 15.15/2.50 ( ! [X2 : uni,X0 : ty,X1 : uni] : (remove(X0,X1,X2) = remove(X0,X1,add(X0,X1,X2))) )), 15.15/2.50 inference(cnf_transformation,[],[f11])). 15.15/2.50 tff(f11,axiom,( 15.15/2.50 ! [X0 : ty,X1 : uni,X2 : uni] : remove(X0,X1,X2) = remove(X0,X1,add(X0,X1,X2))), 15.15/2.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',remove_add)). 15.15/2.50 tff(f18021,plain,( 15.15/2.50 ~spl30_426 | ~spl30_41 | spl30_424), 15.15/2.50 inference(avatar_split_clause,[],[f18015,f17950,f849,f18018])). 15.15/2.50 tff(f18018,plain,( 15.15/2.50 spl30_426 <=> n1 = min_elt1(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_426])])). 15.15/2.50 tff(f849,plain,( 15.15/2.50 spl30_41 <=> $less(max_elt1(sK0),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_41])])). 15.15/2.50 tff(f17950,plain,( 15.15/2.50 spl30_424 <=> $less(max_elt1(sK0),min_elt1(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_424])])). 15.15/2.50 tff(f18015,plain,( 15.15/2.50 n1 != min_elt1(sK8) | (~spl30_41 | spl30_424)), 15.15/2.50 inference(constrained_resolution,[],[f17952,f851])). 15.15/2.50 tff(f851,plain,( 15.15/2.50 $less(max_elt1(sK0),n1) | ~spl30_41), 15.15/2.50 inference(avatar_component_clause,[],[f849])). 15.15/2.50 tff(f17952,plain,( 15.15/2.50 ~$less(max_elt1(sK0),min_elt1(sK8)) | spl30_424), 15.15/2.50 inference(avatar_component_clause,[],[f17950])). 15.15/2.50 tff(f18003,plain,( 15.15/2.50 ~spl30_425 | ~spl30_41 | spl30_423), 15.15/2.50 inference(avatar_split_clause,[],[f17997,f17944,f849,f18000])). 15.15/2.50 tff(f18000,plain,( 15.15/2.50 spl30_425 <=> n1 = max_elt1(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_425])])). 15.15/2.50 tff(f17997,plain,( 15.15/2.50 n1 != max_elt1(sK8) | (~spl30_41 | spl30_423)), 15.15/2.50 inference(constrained_resolution,[],[f17946,f851])). 15.15/2.50 tff(f17959,plain,( 15.15/2.50 ~spl30_424 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17958,f514,f509,f17950])). 15.15/2.50 tff(f17958,plain,( 15.15/2.50 ~$less(max_elt1(sK0),min_elt1(sK8)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(forward_demodulation,[],[f17957,f309])). 15.15/2.50 tff(f17957,plain,( 15.15/2.50 ~$less(max_elt1(sK0),min_elt1(tb2t(t2tb(sK8)))) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17937,f511])). 15.15/2.50 tff(f17937,plain,( 15.15/2.50 ~$less(max_elt1(sK0),min_elt1(tb2t(t2tb(sK8)))) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17794,f879])). 15.15/2.50 tff(f17956,plain,( 15.15/2.50 ~spl30_423 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17955,f514,f509,f17944])). 15.15/2.50 tff(f17955,plain,( 15.15/2.50 ~$less(max_elt1(sK0),max_elt1(sK8)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(forward_demodulation,[],[f17954,f309])). 15.15/2.50 tff(f17954,plain,( 15.15/2.50 ~$less(max_elt1(sK0),max_elt1(tb2t(t2tb(sK8)))) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17936,f511])). 15.15/2.50 tff(f17936,plain,( 15.15/2.50 ~$less(max_elt1(sK0),max_elt1(tb2t(t2tb(sK8)))) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17794,f845])). 15.15/2.50 tff(f17953,plain,( 15.15/2.50 ~spl30_424 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17948,f514,f509,f17950])). 15.15/2.50 tff(f17948,plain,( 15.15/2.50 ~$less(max_elt1(sK0),min_elt1(sK8)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17933,f511])). 15.15/2.50 tff(f17933,plain,( 15.15/2.50 ~$less(max_elt1(sK0),min_elt1(sK8)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17794,f324])). 15.15/2.50 tff(f17947,plain,( 15.15/2.50 ~spl30_423 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17942,f514,f509,f17944])). 15.15/2.50 tff(f17942,plain,( 15.15/2.50 ~$less(max_elt1(sK0),max_elt1(sK8)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17932,f511])). 15.15/2.50 tff(f17932,plain,( 15.15/2.50 ~$less(max_elt1(sK0),max_elt1(sK8)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17794,f323])). 15.15/2.50 tff(f17914,plain,( 15.15/2.50 ~spl30_422 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17913,f514,f509,f17905])). 15.15/2.50 tff(f17913,plain,( 15.15/2.50 ~$less(min_elt1(sK8),min_elt1(sK0)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(forward_demodulation,[],[f17912,f309])). 15.15/2.50 tff(f17912,plain,( 15.15/2.50 ~$less(min_elt1(tb2t(t2tb(sK8))),min_elt1(sK0)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17892,f511])). 15.15/2.50 tff(f17892,plain,( 15.15/2.50 ~$less(min_elt1(tb2t(t2tb(sK8))),min_elt1(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17793,f879])). 15.15/2.50 tff(f17911,plain,( 15.15/2.50 ~spl30_421 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17910,f514,f509,f17899])). 15.15/2.50 tff(f17899,plain,( 15.15/2.50 spl30_421 <=> $less(max_elt1(sK8),min_elt1(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_421])])). 15.15/2.50 tff(f17910,plain,( 15.15/2.50 ~$less(max_elt1(sK8),min_elt1(sK0)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(forward_demodulation,[],[f17909,f309])). 15.15/2.50 tff(f17909,plain,( 15.15/2.50 ~$less(max_elt1(tb2t(t2tb(sK8))),min_elt1(sK0)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17891,f511])). 15.15/2.50 tff(f17891,plain,( 15.15/2.50 ~$less(max_elt1(tb2t(t2tb(sK8))),min_elt1(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17793,f845])). 15.15/2.50 tff(f17908,plain,( 15.15/2.50 ~spl30_422 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17903,f514,f509,f17905])). 15.15/2.50 tff(f17903,plain,( 15.15/2.50 ~$less(min_elt1(sK8),min_elt1(sK0)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17888,f511])). 15.15/2.50 tff(f17888,plain,( 15.15/2.50 ~$less(min_elt1(sK8),min_elt1(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17793,f324])). 15.15/2.50 tff(f17902,plain,( 15.15/2.50 ~spl30_421 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17897,f514,f509,f17899])). 15.15/2.50 tff(f17897,plain,( 15.15/2.50 ~$less(max_elt1(sK8),min_elt1(sK0)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17887,f511])). 15.15/2.50 tff(f17887,plain,( 15.15/2.50 ~$less(max_elt1(sK8),min_elt1(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f17793,f323])). 15.15/2.50 tff(f17884,plain,( 15.15/2.50 spl30_418 | spl30_419 | ~spl30_420 | spl30_414), 15.15/2.50 inference(avatar_split_clause,[],[f17867,f17702,f17881,f17877,f17873])). 15.15/2.50 tff(f17873,plain,( 15.15/2.50 spl30_418 <=> mem(int,sK25(int,t2tb(sK8),t2tb(sK1)),t2tb(sK8))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_418])])). 15.15/2.50 tff(f17881,plain,( 15.15/2.50 spl30_420 <=> t2tb(sK1) = empty(int)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_420])])). 15.15/2.50 tff(f17702,plain,( 15.15/2.50 spl30_414 <=> mem(int,sK25(int,t2tb(sK8),empty(int)),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_414])])). 15.15/2.50 tff(f17867,plain,( 15.15/2.50 t2tb(sK1) != empty(int) | infix_eqeq(int,t2tb(sK8),t2tb(sK1)) | mem(int,sK25(int,t2tb(sK8),t2tb(sK1)),t2tb(sK8)) | spl30_414), 15.15/2.50 inference(constrained_resolution,[],[f17704,f378])). 15.15/2.50 tff(f17704,plain,( 15.15/2.50 ~mem(int,sK25(int,t2tb(sK8),empty(int)),t2tb(sK1)) | spl30_414), 15.15/2.50 inference(avatar_component_clause,[],[f17702])). 15.15/2.50 tff(f17769,plain,( 15.15/2.50 ~spl30_417 | spl30_49 | spl30_411), 15.15/2.50 inference(avatar_split_clause,[],[f17768,f17678,f1207,f17763])). 15.15/2.50 tff(f17763,plain,( 15.15/2.50 spl30_417 <=> min_elt1(sK8) = max_elt1(sK1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_417])])). 15.15/2.50 tff(f1207,plain,( 15.15/2.50 spl30_49 <=> is_empty(int,t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_49])])). 15.15/2.50 tff(f17678,plain,( 15.15/2.50 spl30_411 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_411])])). 15.15/2.50 tff(f17768,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK1) | (spl30_49 | spl30_411)), 15.15/2.50 inference(forward_demodulation,[],[f17767,f309])). 15.15/2.50 tff(f17767,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(tb2t(t2tb(sK1))) | (spl30_49 | spl30_411)), 15.15/2.50 inference(subsumption_resolution,[],[f17754,f1208])). 15.15/2.50 tff(f1208,plain,( 15.15/2.50 ~is_empty(int,t2tb(sK1)) | spl30_49), 15.15/2.50 inference(avatar_component_clause,[],[f1207])). 15.15/2.50 tff(f17754,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(tb2t(t2tb(sK1))) | is_empty(int,t2tb(sK1)) | spl30_411), 15.15/2.50 inference(constrained_resolution,[],[f17680,f845])). 15.15/2.50 tff(f17680,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1)) | spl30_411), 15.15/2.50 inference(avatar_component_clause,[],[f17678])). 15.15/2.50 tff(f17766,plain,( 15.15/2.50 ~spl30_417 | spl30_49 | spl30_411), 15.15/2.50 inference(avatar_split_clause,[],[f17761,f17678,f1207,f17763])). 15.15/2.50 tff(f17761,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK1) | (spl30_49 | spl30_411)), 15.15/2.50 inference(subsumption_resolution,[],[f17750,f1208])). 15.15/2.50 tff(f17750,plain,( 15.15/2.50 min_elt1(sK8) != max_elt1(sK1) | is_empty(int,t2tb(sK1)) | spl30_411), 15.15/2.50 inference(constrained_resolution,[],[f17680,f323])). 15.15/2.50 tff(f17746,plain,( 15.15/2.50 ~spl30_416 | spl30_49 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f17745,f17672,f1207,f17737])). 15.15/2.50 tff(f17737,plain,( 15.15/2.50 spl30_416 <=> sK1 = sK8), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_416])])). 15.15/2.50 tff(f17745,plain,( 15.15/2.50 sK1 != sK8 | (spl30_49 | spl30_410)), 15.15/2.50 inference(forward_demodulation,[],[f17744,f309])). 15.15/2.50 tff(f17744,plain,( 15.15/2.50 sK8 != tb2t(t2tb(sK1)) | (spl30_49 | spl30_410)), 15.15/2.50 inference(subsumption_resolution,[],[f17723,f1208])). 15.15/2.50 tff(f17723,plain,( 15.15/2.50 sK8 != tb2t(t2tb(sK1)) | is_empty(int,t2tb(sK1)) | spl30_410), 15.15/2.50 inference(constrained_resolution,[],[f17674,f845])). 15.15/2.50 tff(f17743,plain,( 15.15/2.50 ~spl30_415 | spl30_49 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f17742,f17672,f1207,f17731])). 15.15/2.50 tff(f17731,plain,( 15.15/2.50 spl30_415 <=> min_elt1(sK1) = max_elt1(sK8)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_415])])). 15.15/2.50 tff(f17742,plain,( 15.15/2.50 min_elt1(sK1) != max_elt1(sK8) | (spl30_49 | spl30_410)), 15.15/2.50 inference(forward_demodulation,[],[f17741,f309])). 15.15/2.50 tff(f17741,plain,( 15.15/2.50 min_elt1(tb2t(t2tb(sK1))) != max_elt1(sK8) | (spl30_49 | spl30_410)), 15.15/2.50 inference(subsumption_resolution,[],[f17722,f1208])). 15.15/2.50 tff(f17722,plain,( 15.15/2.50 min_elt1(tb2t(t2tb(sK1))) != max_elt1(sK8) | is_empty(int,t2tb(sK1)) | spl30_410), 15.15/2.50 inference(constrained_resolution,[],[f17674,f879])). 15.15/2.50 tff(f17740,plain,( 15.15/2.50 ~spl30_416 | spl30_49 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f17735,f17672,f1207,f17737])). 15.15/2.50 tff(f17735,plain,( 15.15/2.50 sK1 != sK8 | (spl30_49 | spl30_410)), 15.15/2.50 inference(subsumption_resolution,[],[f17719,f1208])). 15.15/2.50 tff(f17719,plain,( 15.15/2.50 sK1 != sK8 | is_empty(int,t2tb(sK1)) | spl30_410), 15.15/2.50 inference(constrained_resolution,[],[f17674,f323])). 15.15/2.50 tff(f17734,plain,( 15.15/2.50 ~spl30_415 | spl30_49 | spl30_410), 15.15/2.50 inference(avatar_split_clause,[],[f17729,f17672,f1207,f17731])). 15.15/2.50 tff(f17729,plain,( 15.15/2.50 min_elt1(sK1) != max_elt1(sK8) | (spl30_49 | spl30_410)), 15.15/2.50 inference(subsumption_resolution,[],[f17718,f1208])). 15.15/2.50 tff(f17718,plain,( 15.15/2.50 min_elt1(sK1) != max_elt1(sK8) | is_empty(int,t2tb(sK1)) | spl30_410), 15.15/2.50 inference(constrained_resolution,[],[f17674,f324])). 15.15/2.50 tff(f17705,plain,( 15.15/2.50 ~spl30_414 | ~spl30_6 | spl30_128), 15.15/2.50 inference(avatar_split_clause,[],[f17700,f3443,f514,f17702])). 15.15/2.50 tff(f17700,plain,( 15.15/2.50 ~mem(int,sK25(int,t2tb(sK8),empty(int)),t2tb(sK1)) | (~spl30_6 | spl30_128)), 15.15/2.50 inference(subsumption_resolution,[],[f17640,f3444])). 15.15/2.50 tff(f17640,plain,( 15.15/2.50 ~mem(int,sK25(int,t2tb(sK8),empty(int)),t2tb(sK1)) | infix_eqeq(int,t2tb(sK8),empty(int)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16346,f1520])). 15.15/2.50 tff(f17699,plain,( 15.15/2.50 ~spl30_413 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17694,f514,f509,f17696])). 15.15/2.50 tff(f17694,plain,( 15.15/2.50 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK1)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17637,f511])). 15.15/2.50 tff(f17637,plain,( 15.15/2.50 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16346,f334])). 15.15/2.50 tff(f17693,plain,( 15.15/2.50 ~spl30_412 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17688,f514,f509,f17690])). 15.15/2.50 tff(f17688,plain,( 15.15/2.50 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK1)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17634,f511])). 15.15/2.50 tff(f17634,plain,( 15.15/2.50 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16346,f335])). 15.15/2.50 tff(f17687,plain,( 15.15/2.50 ~spl30_411 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17686,f514,f509,f17678])). 15.15/2.50 tff(f17686,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(forward_demodulation,[],[f17685,f309])). 15.15/2.50 tff(f17685,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(tb2t(t2tb(sK8)))),t2tb(sK1)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17632,f511])). 15.15/2.50 tff(f17632,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(tb2t(t2tb(sK8)))),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16346,f879])). 15.15/2.50 tff(f17684,plain,( 15.15/2.50 ~spl30_410 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17683,f514,f509,f17672])). 15.15/2.50 tff(f17683,plain,( 15.15/2.50 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(forward_demodulation,[],[f17682,f309])). 15.15/2.50 tff(f17682,plain,( 15.15/2.50 ~mem(int,t2tb1(max_elt1(tb2t(t2tb(sK8)))),t2tb(sK1)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17631,f511])). 15.15/2.50 tff(f17631,plain,( 15.15/2.50 ~mem(int,t2tb1(max_elt1(tb2t(t2tb(sK8)))),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16346,f845])). 15.15/2.50 tff(f17681,plain,( 15.15/2.50 ~spl30_411 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17676,f514,f509,f17678])). 15.15/2.50 tff(f17676,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17628,f511])). 15.15/2.50 tff(f17628,plain,( 15.15/2.50 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16346,f324])). 15.15/2.50 tff(f17675,plain,( 15.15/2.50 ~spl30_410 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17670,f514,f509,f17672])). 15.15/2.50 tff(f17670,plain,( 15.15/2.50 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1)) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f17627,f511])). 15.15/2.50 tff(f17627,plain,( 15.15/2.50 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16346,f323])). 15.15/2.50 tff(f17546,plain,( 15.15/2.50 ~spl30_406 | ~spl30_409 | ~spl30_179 | spl30_386), 15.15/2.50 inference(avatar_split_clause,[],[f17524,f17251,f5860,f17543,f17530])). 15.15/2.50 tff(f17530,plain,( 15.15/2.50 spl30_406 <=> 0 = sK15), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_406])])). 15.15/2.50 tff(f17543,plain,( 15.15/2.50 spl30_409 <=> max_elt1(sK0) = tb2t1(sK21(int,empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_409])])). 15.15/2.50 tff(f17251,plain,( 15.15/2.50 spl30_386 <=> max_elt1(sK0) = tb2t1(sK21(int,t2tb(below1(sK15))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_386])])). 15.15/2.50 tff(f17524,plain,( 15.15/2.50 max_elt1(sK0) != tb2t1(sK21(int,empty(int))) | 0 != sK15 | (~spl30_179 | spl30_386)), 15.15/2.50 inference(constrained_superposition,[],[f17253,f5862])). 15.15/2.50 tff(f17253,plain,( 15.15/2.50 max_elt1(sK0) != tb2t1(sK21(int,t2tb(below1(sK15)))) | spl30_386), 15.15/2.50 inference(avatar_component_clause,[],[f17251])). 15.15/2.50 tff(f17541,plain,( 15.15/2.50 ~spl30_406 | spl30_408 | ~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_386), 15.15/2.50 inference(avatar_split_clause,[],[f17537,f17251,f4452,f4283,f784,f17539,f17530])). 15.15/2.50 tff(f17539,plain,( 15.15/2.50 spl30_408 <=> ! [X1 : uni] : (max_elt1(sK0) != tb2t1(sK21(int,X1)) | ~is_empty(int,X1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_408])])). 15.15/2.50 tff(f17537,plain,( 15.15/2.50 ( ! [X1 : uni] : (max_elt1(sK0) != tb2t1(sK21(int,X1)) | ~is_empty(int,X1) | 0 != sK15) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_386)), 15.15/2.50 inference(forward_demodulation,[],[f17522,f314])). 15.15/2.50 tff(f17522,plain,( 15.15/2.50 ( ! [X1 : uni] : (max_elt1(sK0) != tb2t1(sK21(int,t2tb(tb2t(X1)))) | ~is_empty(int,X1) | 0 != sK15) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_386)), 15.15/2.50 inference(constrained_superposition,[],[f17253,f5145])). 15.15/2.50 tff(f17536,plain,( 15.15/2.50 ~spl30_406 | spl30_407 | ~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_386), 15.15/2.50 inference(avatar_split_clause,[],[f17521,f17251,f4452,f4283,f784,f17534,f17530])). 15.15/2.50 tff(f17534,plain,( 15.15/2.50 spl30_407 <=> ! [X0 : $int] : (max_elt1(sK0) != tb2t1(sK21(int,t2tb(below1(X0)))) | ~$less(X0,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_407])])). 15.15/2.50 tff(f17521,plain,( 15.15/2.50 ( ! [X0 : $int] : (max_elt1(sK0) != tb2t1(sK21(int,t2tb(below1(X0)))) | ~$less(X0,0) | 0 != sK15) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_386)), 15.15/2.50 inference(constrained_superposition,[],[f17253,f5618])). 15.15/2.50 tff(f17476,plain,( 15.15/2.50 spl30_405 | ~spl30_397 | ~spl30_398), 15.15/2.50 inference(avatar_split_clause,[],[f17471,f17419,f17414,f17473])). 15.15/2.50 tff(f17473,plain,( 15.15/2.50 spl30_405 <=> sorted1(sK10,0,sK7)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_405])])). 15.15/2.50 tff(f17414,plain,( 15.15/2.50 spl30_397 <=> sorted1(sK10,0,sK9)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_397])])). 15.15/2.50 tff(f17471,plain,( 15.15/2.50 sorted1(sK10,0,sK7) | (~spl30_397 | ~spl30_398)), 15.15/2.50 inference(forward_demodulation,[],[f17416,f17421])). 15.15/2.50 tff(f17416,plain,( 15.15/2.50 sorted1(sK10,0,sK9) | ~spl30_397), 15.15/2.50 inference(avatar_component_clause,[],[f17414])). 15.15/2.50 tff(f17470,plain,( 15.15/2.50 ~spl30_404 | spl30_16 | ~spl30_398), 15.15/2.50 inference(avatar_split_clause,[],[f17445,f17419,f570,f17467])). 15.15/2.50 tff(f17467,plain,( 15.15/2.50 spl30_404 <=> sK5 = sK7), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_404])])). 15.15/2.50 tff(f570,plain,( 15.15/2.50 spl30_16 <=> sK5 = sK9), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_16])])). 15.15/2.50 tff(f17445,plain,( 15.15/2.50 sK5 != sK7 | (spl30_16 | ~spl30_398)), 15.15/2.50 inference(superposition,[],[f572,f17421])). 15.15/2.50 tff(f572,plain,( 15.15/2.50 sK5 != sK9 | spl30_16), 15.15/2.50 inference(avatar_component_clause,[],[f570])). 15.15/2.50 tff(f17465,plain,( 15.15/2.50 ~spl30_403 | spl30_389 | ~spl30_398), 15.15/2.50 inference(avatar_split_clause,[],[f17444,f17419,f17277,f17462])). 15.15/2.50 tff(f17462,plain,( 15.15/2.50 spl30_403 <=> sK7 = tb2t1(sK21(int,empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_403])])). 15.15/2.50 tff(f17277,plain,( 15.15/2.50 spl30_389 <=> sK9 = tb2t1(sK21(int,empty(int)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_389])])). 15.15/2.50 tff(f17444,plain,( 15.15/2.50 sK7 != tb2t1(sK21(int,empty(int))) | (spl30_389 | ~spl30_398)), 15.15/2.50 inference(backward_demodulation,[],[f17279,f17421])). 15.15/2.50 tff(f17279,plain,( 15.15/2.50 sK9 != tb2t1(sK21(int,empty(int))) | spl30_389), 15.15/2.50 inference(avatar_component_clause,[],[f17277])). 15.15/2.50 tff(f17460,plain,( 15.15/2.50 ~spl30_402 | spl30_271 | ~spl30_398), 15.15/2.50 inference(avatar_split_clause,[],[f17438,f17419,f7528,f17457])). 15.15/2.50 tff(f17457,plain,( 15.15/2.50 spl30_402 <=> sK7 = max_elt1(sK1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_402])])). 15.15/2.50 tff(f7528,plain,( 15.15/2.50 spl30_271 <=> sK9 = max_elt1(sK1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_271])])). 15.15/2.50 tff(f17438,plain,( 15.15/2.50 sK7 != max_elt1(sK1) | (spl30_271 | ~spl30_398)), 15.15/2.50 inference(backward_demodulation,[],[f7530,f17421])). 15.15/2.50 tff(f7530,plain,( 15.15/2.50 sK9 != max_elt1(sK1) | spl30_271), 15.15/2.50 inference(avatar_component_clause,[],[f7528])). 15.15/2.50 tff(f17455,plain,( 15.15/2.50 ~spl30_401 | spl30_270 | ~spl30_398), 15.15/2.50 inference(avatar_split_clause,[],[f17437,f17419,f7522,f17452])). 15.15/2.50 tff(f17452,plain,( 15.15/2.50 spl30_401 <=> sK7 = min_elt1(sK1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_401])])). 15.15/2.50 tff(f7522,plain,( 15.15/2.50 spl30_270 <=> sK9 = min_elt1(sK1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_270])])). 15.15/2.50 tff(f17437,plain,( 15.15/2.50 sK7 != min_elt1(sK1) | (spl30_270 | ~spl30_398)), 15.15/2.50 inference(backward_demodulation,[],[f7524,f17421])). 15.15/2.50 tff(f7524,plain,( 15.15/2.50 sK9 != min_elt1(sK1) | spl30_270), 15.15/2.50 inference(avatar_component_clause,[],[f7522])). 15.15/2.50 tff(f17450,plain,( 15.15/2.50 ~spl30_400 | spl30_193 | ~spl30_398), 15.15/2.50 inference(avatar_split_clause,[],[f17433,f17419,f6990,f17447])). 15.15/2.50 tff(f17447,plain,( 15.15/2.50 spl30_400 <=> mem(int,t2tb1(sK7),t2tb(sK1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_400])])). 15.15/2.50 tff(f17433,plain,( 15.15/2.50 ~mem(int,t2tb1(sK7),t2tb(sK1)) | (spl30_193 | ~spl30_398)), 15.15/2.50 inference(backward_demodulation,[],[f6991,f17421])). 15.15/2.50 tff(f17428,plain,( 15.15/2.50 ~spl30_192 | spl30_303 | ~spl30_306), 15.15/2.50 inference(avatar_split_clause,[],[f17408,f12337,f12325,f6986])). 15.15/2.50 tff(f6986,plain,( 15.15/2.50 spl30_192 <=> $less(sK9,0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_192])])). 15.15/2.50 tff(f12325,plain,( 15.15/2.50 spl30_303 <=> $less(sK9,sK3)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_303])])). 15.15/2.50 tff(f12337,plain,( 15.15/2.50 spl30_306 <=> 0 = sK3), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_306])])). 15.15/2.50 tff(f17408,plain,( 15.15/2.50 ~$less(sK9,0) | (spl30_303 | ~spl30_306)), 15.15/2.50 inference(backward_demodulation,[],[f12327,f12338])). 15.15/2.50 tff(f12338,plain,( 15.15/2.50 0 = sK3 | ~spl30_306), 15.15/2.50 inference(avatar_component_clause,[],[f12337])). 15.15/2.50 tff(f12327,plain,( 15.15/2.50 ~$less(sK9,sK3) | spl30_303), 15.15/2.50 inference(avatar_component_clause,[],[f12325])). 15.15/2.50 tff(f17427,plain,( 15.15/2.50 ~spl30_399 | spl30_208 | ~spl30_306), 15.15/2.50 inference(avatar_split_clause,[],[f17406,f12337,f7075,f17424])). 15.15/2.50 tff(f17424,plain,( 15.15/2.50 spl30_399 <=> sK7 = tb2t1(get(int,int,t2tb2(sK6),t2tb1(0)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_399])])). 15.15/2.50 tff(f7075,plain,( 15.15/2.50 spl30_208 <=> sK7 = tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK3)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_208])])). 15.15/2.50 tff(f17406,plain,( 15.15/2.50 sK7 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(0))) | (spl30_208 | ~spl30_306)), 15.15/2.50 inference(backward_demodulation,[],[f7077,f12338])). 15.15/2.50 tff(f7077,plain,( 15.15/2.50 sK7 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK3))) | spl30_208), 15.15/2.50 inference(avatar_component_clause,[],[f7075])). 15.15/2.50 tff(f17422,plain,( 15.15/2.50 spl30_398 | ~spl30_45 | ~spl30_306), 15.15/2.50 inference(avatar_split_clause,[],[f17412,f12337,f1012,f17419])). 15.15/2.50 tff(f1012,plain,( 15.15/2.50 spl30_45 <=> sK7 = $sum(sK9,$uminus(sK3))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_45])])). 15.15/2.50 tff(f17412,plain,( 15.15/2.50 sK7 = sK9 | (~spl30_45 | ~spl30_306)), 15.15/2.50 inference(evaluation,[],[f17394])). 15.15/2.50 tff(f17394,plain,( 15.15/2.50 sK7 = $sum(sK9,$uminus(0)) | (~spl30_45 | ~spl30_306)), 15.15/2.50 inference(backward_demodulation,[],[f1014,f12338])). 15.15/2.50 tff(f1014,plain,( 15.15/2.50 sK7 = $sum(sK9,$uminus(sK3)) | ~spl30_45), 15.15/2.50 inference(avatar_component_clause,[],[f1012])). 15.15/2.50 tff(f17417,plain,( 15.15/2.50 spl30_397 | ~spl30_8 | ~spl30_306), 15.15/2.50 inference(avatar_split_clause,[],[f17388,f12337,f524,f17414])). 15.15/2.50 tff(f524,plain,( 15.15/2.50 spl30_8 <=> sorted1(sK10,sK3,sK9)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_8])])). 15.15/2.50 tff(f17388,plain,( 15.15/2.50 sorted1(sK10,0,sK9) | (~spl30_8 | ~spl30_306)), 15.15/2.50 inference(backward_demodulation,[],[f526,f12338])). 15.15/2.50 tff(f526,plain,( 15.15/2.50 sorted1(sK10,sK3,sK9) | ~spl30_8), 15.15/2.50 inference(avatar_component_clause,[],[f524])). 15.15/2.50 tff(f17369,plain,( 15.15/2.50 spl30_396 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_383), 15.15/2.50 inference(avatar_split_clause,[],[f17346,f17238,f4452,f4283,f784,f17366])). 15.15/2.50 tff(f17366,plain,( 15.15/2.50 spl30_396 <=> below1(0) = below1(sK3)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_396])])). 15.15/2.50 tff(f17238,plain,( 15.15/2.50 spl30_383 <=> is_empty(int,t2tb(below1(sK3)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_383])])). 15.15/2.50 tff(f17346,plain,( 15.15/2.50 below1(0) = below1(sK3) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_383)), 15.15/2.50 inference(resolution,[],[f17240,f5168])). 15.15/2.50 tff(f17240,plain,( 15.15/2.50 is_empty(int,t2tb(below1(sK3))) | ~spl30_383), 15.15/2.50 inference(avatar_component_clause,[],[f17238])). 15.15/2.50 tff(f17364,plain,( 15.15/2.50 spl30_395 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_383), 15.15/2.50 inference(avatar_split_clause,[],[f17345,f17238,f5630,f4452,f4283,f784,f17361])). 15.15/2.50 tff(f17361,plain,( 15.15/2.50 spl30_395 <=> below1(sK3) = succ1(below1(sK3))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_395])])). 15.15/2.50 tff(f17345,plain,( 15.15/2.50 below1(sK3) = succ1(below1(sK3)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_383)), 15.15/2.50 inference(resolution,[],[f17240,f9496])). 15.15/2.50 tff(f17359,plain,( 15.15/2.50 spl30_394 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_383), 15.15/2.50 inference(avatar_split_clause,[],[f17344,f17238,f5635,f4452,f4283,f784,f17356])). 15.15/2.50 tff(f17356,plain,( 15.15/2.50 spl30_394 <=> below1(sK3) = pred1(below1(sK3))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_394])])). 15.15/2.50 tff(f17344,plain,( 15.15/2.50 below1(sK3) = pred1(below1(sK3)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_383)), 15.15/2.50 inference(resolution,[],[f17240,f9650])). 15.15/2.50 tff(f17354,plain,( 15.15/2.50 spl30_306 | spl30_20 | ~spl30_383), 15.15/2.50 inference(avatar_split_clause,[],[f17353,f17238,f601,f12337])). 15.15/2.50 tff(f601,plain,( 15.15/2.50 spl30_20 <=> $less(sK3,0)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_20])])). 15.15/2.50 tff(f17353,plain,( 15.15/2.50 0 = sK3 | (spl30_20 | ~spl30_383)), 15.15/2.50 inference(subsumption_resolution,[],[f17343,f603])). 15.15/2.50 tff(f603,plain,( 15.15/2.50 ~$less(sK3,0) | spl30_20), 15.15/2.50 inference(avatar_component_clause,[],[f601])). 15.15/2.50 tff(f17343,plain,( 15.15/2.50 $less(sK3,0) | 0 = sK3 | ~spl30_383), 15.15/2.50 inference(resolution,[],[f17240,f774])). 15.15/2.50 tff(f774,plain,( 15.15/2.50 ( ! [X1 : $int] : (~is_empty(int,t2tb(below1(X1))) | $less(X1,0) | 0 = X1) )), 15.15/2.50 inference(superposition,[],[f320,f349])). 15.15/2.50 tff(f349,plain,( 15.15/2.50 ( ! [X0 : ty,X1 : uni] : (0 = cardinal1(X0,X1) | ~is_empty(X0,X1)) )), 15.15/2.50 inference(cnf_transformation,[],[f227])). 15.15/2.50 tff(f17337,plain,( 15.15/2.50 spl30_385 | ~spl30_393 | spl30_62), 15.15/2.50 inference(avatar_split_clause,[],[f17305,f1492,f17334,f17247])). 15.15/2.50 tff(f17247,plain,( 15.15/2.50 spl30_385 <=> is_empty(int,t2tb(below1(sK15)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_385])])). 15.15/2.50 tff(f17334,plain,( 15.15/2.50 spl30_393 <=> max_elt1(sK0) = tb2t1(choose(int,t2tb(below1(sK15))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_393])])). 15.15/2.50 tff(f17305,plain,( 15.15/2.50 max_elt1(sK0) != tb2t1(choose(int,t2tb(below1(sK15)))) | is_empty(int,t2tb(below1(sK15))) | spl30_62), 15.15/2.50 inference(constrained_resolution,[],[f925,f1494])). 15.15/2.50 tff(f17332,plain,( 15.15/2.50 spl30_383 | ~spl30_392 | spl30_303), 15.15/2.50 inference(avatar_split_clause,[],[f17304,f12325,f17329,f17238])). 15.15/2.50 tff(f17329,plain,( 15.15/2.50 spl30_392 <=> sK9 = tb2t1(choose(int,t2tb(below1(sK3))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_392])])). 15.15/2.50 tff(f17304,plain,( 15.15/2.50 sK9 != tb2t1(choose(int,t2tb(below1(sK3)))) | is_empty(int,t2tb(below1(sK3))) | spl30_303), 15.15/2.50 inference(constrained_resolution,[],[f925,f12327])). 15.15/2.50 tff(f17327,plain,( 15.15/2.50 spl30_380 | ~spl30_391 | spl30_353), 15.15/2.50 inference(avatar_split_clause,[],[f17301,f16105,f17324,f17224])). 15.15/2.50 tff(f17224,plain,( 15.15/2.50 spl30_380 <=> is_empty(int,t2tb(below1(1)))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_380])])). 15.15/2.50 tff(f17324,plain,( 15.15/2.50 spl30_391 <=> min_elt1(succ1(sK0)) = tb2t1(choose(int,t2tb(below1(1))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_391])])). 15.15/2.50 tff(f17301,plain,( 15.15/2.50 min_elt1(succ1(sK0)) != tb2t1(choose(int,t2tb(below1(1)))) | is_empty(int,t2tb(below1(1))) | spl30_353), 15.15/2.50 inference(constrained_resolution,[],[f925,f16107])). 15.15/2.50 tff(f17322,plain,( 15.15/2.50 spl30_380 | ~spl30_390 | spl30_354), 15.15/2.50 inference(avatar_split_clause,[],[f17299,f16110,f17319,f17224])). 15.15/2.50 tff(f17319,plain,( 15.15/2.50 spl30_390 <=> max_elt1(succ1(sK0)) = tb2t1(choose(int,t2tb(below1(1))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_390])])). 15.15/2.50 tff(f17299,plain,( 15.15/2.50 max_elt1(succ1(sK0)) != tb2t1(choose(int,t2tb(below1(1)))) | is_empty(int,t2tb(below1(1))) | spl30_354), 15.15/2.50 inference(constrained_resolution,[],[f925,f16112])). 15.15/2.50 tff(f17285,plain,( 15.15/2.50 spl30_388 | spl30_389), 15.15/2.50 inference(avatar_split_clause,[],[f17281,f17277,f17273])). 15.15/2.50 tff(f17273,plain,( 15.15/2.50 spl30_388 <=> ! [X1 : uni] : (sK9 != tb2t1(sK21(int,X1)) | ~is_empty(int,X1))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_388])])). 15.15/2.50 tff(f17281,plain,( 15.15/2.50 ( ! [X0 : uni] : (sK9 != tb2t1(sK21(int,X0)) | ~is_empty(int,X0)) ) | spl30_389), 15.15/2.50 inference(superposition,[],[f17279,f3275])). 15.15/2.50 tff(f17280,plain,( 15.15/2.50 ~spl30_306 | ~spl30_389 | ~spl30_179 | spl30_384), 15.15/2.50 inference(avatar_split_clause,[],[f17262,f17242,f5860,f17277,f12337])). 15.15/2.50 tff(f17242,plain,( 15.15/2.50 spl30_384 <=> sK9 = tb2t1(sK21(int,t2tb(below1(sK3))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_384])])). 15.15/2.50 tff(f17262,plain,( 15.15/2.50 sK9 != tb2t1(sK21(int,empty(int))) | 0 != sK3 | (~spl30_179 | spl30_384)), 15.15/2.50 inference(constrained_superposition,[],[f17244,f5862])). 15.15/2.50 tff(f17244,plain,( 15.15/2.50 sK9 != tb2t1(sK21(int,t2tb(below1(sK3)))) | spl30_384), 15.15/2.50 inference(avatar_component_clause,[],[f17242])). 15.15/2.50 tff(f17275,plain,( 15.15/2.50 ~spl30_306 | spl30_388 | ~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_384), 15.15/2.50 inference(avatar_split_clause,[],[f17271,f17242,f4452,f4283,f784,f17273,f12337])). 15.15/2.50 tff(f17271,plain,( 15.15/2.50 ( ! [X1 : uni] : (sK9 != tb2t1(sK21(int,X1)) | ~is_empty(int,X1) | 0 != sK3) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_384)), 15.15/2.50 inference(forward_demodulation,[],[f17260,f314])). 15.15/2.50 tff(f17260,plain,( 15.15/2.50 ( ! [X1 : uni] : (sK9 != tb2t1(sK21(int,t2tb(tb2t(X1)))) | ~is_empty(int,X1) | 0 != sK3) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_384)), 15.15/2.50 inference(constrained_superposition,[],[f17244,f5145])). 15.15/2.50 tff(f17270,plain,( 15.15/2.50 ~spl30_306 | spl30_387 | ~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_384), 15.15/2.50 inference(avatar_split_clause,[],[f17259,f17242,f4452,f4283,f784,f17268,f12337])). 15.15/2.50 tff(f17268,plain,( 15.15/2.50 spl30_387 <=> ! [X0 : $int] : (sK9 != tb2t1(sK21(int,t2tb(below1(X0)))) | ~$less(X0,0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_387])])). 15.15/2.50 tff(f17259,plain,( 15.15/2.50 ( ! [X0 : $int] : (sK9 != tb2t1(sK21(int,t2tb(below1(X0)))) | ~$less(X0,0) | 0 != sK3) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | spl30_384)), 15.15/2.50 inference(constrained_superposition,[],[f17244,f5618])). 15.15/2.50 tff(f17254,plain,( 15.15/2.50 spl30_385 | ~spl30_386 | spl30_62), 15.15/2.50 inference(avatar_split_clause,[],[f17210,f1492,f17251,f17247])). 15.15/2.50 tff(f17210,plain,( 15.15/2.50 max_elt1(sK0) != tb2t1(sK21(int,t2tb(below1(sK15)))) | is_empty(int,t2tb(below1(sK15))) | spl30_62), 15.15/2.50 inference(constrained_resolution,[],[f924,f1494])). 15.15/2.50 tff(f17245,plain,( 15.15/2.50 spl30_383 | ~spl30_384 | spl30_303), 15.15/2.50 inference(avatar_split_clause,[],[f17209,f12325,f17242,f17238])). 15.15/2.50 tff(f17209,plain,( 15.15/2.50 sK9 != tb2t1(sK21(int,t2tb(below1(sK3)))) | is_empty(int,t2tb(below1(sK3))) | spl30_303), 15.15/2.50 inference(constrained_resolution,[],[f924,f12327])). 15.15/2.50 tff(f17236,plain,( 15.15/2.50 spl30_380 | ~spl30_382 | spl30_353), 15.15/2.50 inference(avatar_split_clause,[],[f17206,f16105,f17233,f17224])). 15.15/2.50 tff(f17233,plain,( 15.15/2.50 spl30_382 <=> min_elt1(succ1(sK0)) = tb2t1(sK21(int,t2tb(below1(1))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_382])])). 15.15/2.50 tff(f17206,plain,( 15.15/2.50 min_elt1(succ1(sK0)) != tb2t1(sK21(int,t2tb(below1(1)))) | is_empty(int,t2tb(below1(1))) | spl30_353), 15.15/2.50 inference(constrained_resolution,[],[f924,f16107])). 15.15/2.50 tff(f17231,plain,( 15.15/2.50 spl30_380 | ~spl30_381 | spl30_354), 15.15/2.50 inference(avatar_split_clause,[],[f17204,f16110,f17228,f17224])). 15.15/2.50 tff(f17228,plain,( 15.15/2.50 spl30_381 <=> max_elt1(succ1(sK0)) = tb2t1(sK21(int,t2tb(below1(1))))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_381])])). 15.15/2.50 tff(f17204,plain,( 15.15/2.50 max_elt1(succ1(sK0)) != tb2t1(sK21(int,t2tb(below1(1)))) | is_empty(int,t2tb(below1(1))) | spl30_354), 15.15/2.50 inference(constrained_resolution,[],[f924,f16112])). 15.15/2.50 tff(f17110,plain,( 15.15/2.50 ~spl30_379 | spl30_140), 15.15/2.50 inference(avatar_split_clause,[],[f17098,f3689,f17107])). 15.15/2.50 tff(f17107,plain,( 15.15/2.50 spl30_379 <=> infix_eqeq(int,t2tb(sK0),t2tb(sK2))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_379])])). 15.15/2.50 tff(f17098,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK0),t2tb(sK2)) | spl30_140), 15.15/2.50 inference(resolution,[],[f3691,f3151])). 15.15/2.50 tff(f17105,plain,( 15.15/2.50 ~spl30_378 | spl30_140), 15.15/2.50 inference(avatar_split_clause,[],[f17097,f3689,f17102])). 15.15/2.50 tff(f17102,plain,( 15.15/2.50 spl30_378 <=> infix_eqeq(int,t2tb(sK2),t2tb(sK0))), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_378])])). 15.15/2.50 tff(f17097,plain,( 15.15/2.50 ~infix_eqeq(int,t2tb(sK2),t2tb(sK0)) | spl30_140), 15.15/2.50 inference(resolution,[],[f3691,f3303])). 15.15/2.50 tff(f17095,plain,( 15.15/2.50 ~spl30_140 | ~spl30_377 | spl30_124 | spl30_138 | ~spl30_370), 15.15/2.50 inference(avatar_split_clause,[],[f17090,f16844,f3681,f3414,f17092,f3689])). 15.15/2.50 tff(f17090,plain,( 15.15/2.50 ~$less(sK18(max_elt1(sK8)),0) | ~subset(int,t2tb(sK0),t2tb(sK2)) | (spl30_124 | spl30_138 | ~spl30_370)), 15.15/2.50 inference(subsumption_resolution,[],[f17089,f3682])). 15.15/2.50 tff(f17089,plain,( 15.15/2.50 ~$less(sK18(max_elt1(sK8)),0) | $less(max_elt1(sK8),0) | ~subset(int,t2tb(sK0),t2tb(sK2)) | (spl30_124 | ~spl30_370)), 15.15/2.50 inference(subsumption_resolution,[],[f17079,f16846])). 15.15/2.50 tff(f17079,plain,( 15.15/2.50 ~$less(sK18(max_elt1(sK8)),0) | ~$less(max_elt1(sK8),n1) | $less(max_elt1(sK8),0) | ~subset(int,t2tb(sK0),t2tb(sK2)) | spl30_124), 15.15/2.50 inference(resolution,[],[f2837,f3469])). 15.15/2.50 tff(f17052,plain,( 15.15/2.50 spl30_376 | ~spl30_6 | spl30_128), 15.15/2.50 inference(avatar_split_clause,[],[f17047,f3443,f514,f17049])). 15.15/2.50 tff(f17049,plain,( 15.15/2.50 spl30_376 <=> $less(tb2t1(sK25(int,t2tb(sK8),empty(int))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_376])])). 15.15/2.50 tff(f17047,plain,( 15.15/2.50 $less(tb2t1(sK25(int,t2tb(sK8),empty(int))),n1) | (~spl30_6 | spl30_128)), 15.15/2.50 inference(subsumption_resolution,[],[f16993,f3444])). 15.15/2.50 tff(f16993,plain,( 15.15/2.50 $less(tb2t1(sK25(int,t2tb(sK8),empty(int))),n1) | infix_eqeq(int,t2tb(sK8),empty(int)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16342,f1520])). 15.15/2.50 tff(f17046,plain,( 15.15/2.50 spl30_375 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17041,f514,f509,f17043])). 15.15/2.50 tff(f17043,plain,( 15.15/2.50 spl30_375 <=> $less(tb2t1(sK21(int,t2tb(sK8))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_375])])). 15.15/2.50 tff(f17041,plain,( 15.15/2.50 $less(tb2t1(sK21(int,t2tb(sK8))),n1) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f16990,f511])). 15.15/2.50 tff(f16990,plain,( 15.15/2.50 $less(tb2t1(sK21(int,t2tb(sK8))),n1) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16342,f334])). 15.15/2.50 tff(f17040,plain,( 15.15/2.50 spl30_374 | spl30_5 | ~spl30_6), 15.15/2.50 inference(avatar_split_clause,[],[f17035,f514,f509,f17037])). 15.15/2.50 tff(f17037,plain,( 15.15/2.50 spl30_374 <=> $less(tb2t1(choose(int,t2tb(sK8))),n1)), 15.15/2.50 introduced(avatar_definition,[new_symbols(naming,[spl30_374])])). 15.15/2.50 tff(f17035,plain,( 15.15/2.50 $less(tb2t1(choose(int,t2tb(sK8))),n1) | (spl30_5 | ~spl30_6)), 15.15/2.50 inference(subsumption_resolution,[],[f16987,f511])). 15.15/2.50 tff(f16987,plain,( 15.15/2.50 $less(tb2t1(choose(int,t2tb(sK8))),n1) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.50 inference(resolution,[],[f16342,f335])). 15.15/2.50 tff(f16945,plain,( 15.15/2.50 ~spl30_373 | ~spl30_6 | spl30_128), 15.15/2.50 inference(avatar_split_clause,[],[f16940,f3443,f514,f16942])). 15.15/2.51 tff(f16942,plain,( 15.15/2.51 spl30_373 <=> $less(tb2t1(sK25(int,t2tb(sK8),empty(int))),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_373])])). 15.15/2.51 tff(f16940,plain,( 15.15/2.51 ~$less(tb2t1(sK25(int,t2tb(sK8),empty(int))),0) | (~spl30_6 | spl30_128)), 15.15/2.51 inference(subsumption_resolution,[],[f16885,f3444])). 15.15/2.51 tff(f16885,plain,( 15.15/2.51 ~$less(tb2t1(sK25(int,t2tb(sK8),empty(int))),0) | infix_eqeq(int,t2tb(sK8),empty(int)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16343,f1520])). 15.15/2.51 tff(f16939,plain,( 15.15/2.51 ~spl30_372 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16934,f514,f509,f16936])). 15.15/2.51 tff(f16936,plain,( 15.15/2.51 spl30_372 <=> $less(tb2t1(sK21(int,t2tb(sK8))),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_372])])). 15.15/2.51 tff(f16934,plain,( 15.15/2.51 ~$less(tb2t1(sK21(int,t2tb(sK8))),0) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16882,f511])). 15.15/2.51 tff(f16882,plain,( 15.15/2.51 ~$less(tb2t1(sK21(int,t2tb(sK8))),0) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16343,f334])). 15.15/2.51 tff(f16933,plain,( 15.15/2.51 ~spl30_371 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16928,f514,f509,f16930])). 15.15/2.51 tff(f16930,plain,( 15.15/2.51 spl30_371 <=> $less(tb2t1(choose(int,t2tb(sK8))),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_371])])). 15.15/2.51 tff(f16928,plain,( 15.15/2.51 ~$less(tb2t1(choose(int,t2tb(sK8))),0) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16879,f511])). 15.15/2.51 tff(f16879,plain,( 15.15/2.51 ~$less(tb2t1(choose(int,t2tb(sK8))),0) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16343,f335])). 15.15/2.51 tff(f16855,plain,( 15.15/2.51 spl30_246 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16854,f514,f509,f7368])). 15.15/2.51 tff(f16854,plain,( 15.15/2.51 $less(min_elt1(sK8),n1) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(forward_demodulation,[],[f16853,f309])). 15.15/2.51 tff(f16853,plain,( 15.15/2.51 $less(min_elt1(tb2t(t2tb(sK8))),n1) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16836,f511])). 15.15/2.51 tff(f16836,plain,( 15.15/2.51 $less(min_elt1(tb2t(t2tb(sK8))),n1) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16340,f879])). 15.15/2.51 tff(f16340,plain,( 15.15/2.51 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK8)) | $less(X0,n1)) ) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3461,f1379])). 15.15/2.51 tff(f16852,plain,( 15.15/2.51 spl30_370 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16851,f514,f509,f16844])). 15.15/2.51 tff(f16851,plain,( 15.15/2.51 $less(max_elt1(sK8),n1) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(forward_demodulation,[],[f16850,f309])). 15.15/2.51 tff(f16850,plain,( 15.15/2.51 $less(max_elt1(tb2t(t2tb(sK8))),n1) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16835,f511])). 15.15/2.51 tff(f16835,plain,( 15.15/2.51 $less(max_elt1(tb2t(t2tb(sK8))),n1) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16340,f845])). 15.15/2.51 tff(f16849,plain,( 15.15/2.51 spl30_246 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16848,f514,f509,f7368])). 15.15/2.51 tff(f16848,plain,( 15.15/2.51 $less(min_elt1(sK8),n1) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16832,f511])). 15.15/2.51 tff(f16832,plain,( 15.15/2.51 $less(min_elt1(sK8),n1) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16340,f324])). 15.15/2.51 tff(f16847,plain,( 15.15/2.51 spl30_370 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16842,f514,f509,f16844])). 15.15/2.51 tff(f16842,plain,( 15.15/2.51 $less(max_elt1(sK8),n1) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16831,f511])). 15.15/2.51 tff(f16831,plain,( 15.15/2.51 $less(max_elt1(sK8),n1) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16340,f323])). 15.15/2.51 tff(f16825,plain,( 15.15/2.51 ~spl30_369 | spl30_21 | ~spl30_30 | ~spl30_61 | ~spl30_335), 15.15/2.51 inference(avatar_split_clause,[],[f16820,f15866,f1431,f697,f609,f16822])). 15.15/2.51 tff(f16822,plain,( 15.15/2.51 spl30_369 <=> sK14 = sK15), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_369])])). 15.15/2.51 tff(f16820,plain,( 15.15/2.51 sK14 != sK15 | (spl30_21 | ~spl30_30 | ~spl30_61 | ~spl30_335)), 15.15/2.51 inference(subsumption_resolution,[],[f16817,f611])). 15.15/2.51 tff(f16817,plain,( 15.15/2.51 sK14 != sK15 | $less(sK5,0) | (~spl30_30 | ~spl30_61 | ~spl30_335)), 15.15/2.51 inference(superposition,[],[f16815,f699])). 15.15/2.51 tff(f16815,plain,( 15.15/2.51 ( ! [X10 : $int] : (sK15 != $sum(X10,1) | $less(X10,0)) ) | (~spl30_61 | ~spl30_335)), 15.15/2.51 inference(subsumption_resolution,[],[f16814,f357])). 15.15/2.51 tff(f16814,plain,( 15.15/2.51 ( ! [X10 : $int] : (mem(int,t2tb1(X10),t2tb(below1(0))) | sK15 != $sum(X10,1) | $less(X10,0)) ) | (~spl30_61 | ~spl30_335)), 15.15/2.51 inference(forward_demodulation,[],[f4114,f15868])). 15.15/2.51 tff(f4114,plain,( 15.15/2.51 ( ! [X10 : $int] : (sK15 != $sum(X10,1) | mem(int,t2tb1(X10),t2tb(pred1(sK0))) | $less(X10,0)) ) | ~spl30_61), 15.15/2.51 inference(constrained_resolution,[],[f1688,f1433])). 15.15/2.51 tff(f16750,plain,( 15.15/2.51 ~spl30_138 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16749,f514,f509,f3681])). 15.15/2.51 tff(f16749,plain,( 15.15/2.51 ~$less(max_elt1(sK8),0) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16724,f511])). 15.15/2.51 tff(f16724,plain,( 15.15/2.51 ~$less(max_elt1(sK8),0) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16341,f323])). 15.15/2.51 tff(f16341,plain,( 15.15/2.51 ( ! [X1 : $int] : (~mem(int,t2tb1(X1),t2tb(sK8)) | ~$less(X1,0)) ) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3461,f1148])). 15.15/2.51 tff(f16748,plain,( 15.15/2.51 ~spl30_138 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16742,f514,f509,f3681])). 15.15/2.51 tff(f16742,plain,( 15.15/2.51 ~$less(max_elt1(sK8),0) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(forward_demodulation,[],[f16741,f309])). 15.15/2.51 tff(f16741,plain,( 15.15/2.51 ~$less(max_elt1(tb2t(t2tb(sK8))),0) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16728,f511])). 15.15/2.51 tff(f16728,plain,( 15.15/2.51 ~$less(max_elt1(tb2t(t2tb(sK8))),0) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16341,f845])). 15.15/2.51 tff(f16747,plain,( 15.15/2.51 ~spl30_227 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16746,f514,f509,f7285])). 15.15/2.51 tff(f16746,plain,( 15.15/2.51 ~$less(min_elt1(sK8),0) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(forward_demodulation,[],[f16745,f309])). 15.15/2.51 tff(f16745,plain,( 15.15/2.51 ~$less(min_elt1(tb2t(t2tb(sK8))),0) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16729,f511])). 15.15/2.51 tff(f16729,plain,( 15.15/2.51 ~$less(min_elt1(tb2t(t2tb(sK8))),0) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16341,f879])). 15.15/2.51 tff(f16744,plain,( 15.15/2.51 spl30_5 | ~spl30_6 | ~spl30_138), 15.15/2.51 inference(avatar_contradiction_clause,[],[f16743])). 15.15/2.51 tff(f16743,plain,( 15.15/2.51 $false | (spl30_5 | ~spl30_6 | ~spl30_138)), 15.15/2.51 inference(subsumption_resolution,[],[f16742,f3683])). 15.15/2.51 tff(f3683,plain,( 15.15/2.51 $less(max_elt1(sK8),0) | ~spl30_138), 15.15/2.51 inference(avatar_component_clause,[],[f3681])). 15.15/2.51 tff(f16740,plain,( 15.15/2.51 ~spl30_227 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f16739,f514,f509,f7285])). 15.15/2.51 tff(f16739,plain,( 15.15/2.51 ~$less(min_elt1(sK8),0) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f16725,f511])). 15.15/2.51 tff(f16725,plain,( 15.15/2.51 ~$less(min_elt1(sK8),0) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f16341,f324])). 15.15/2.51 tff(f16738,plain,( 15.15/2.51 spl30_5 | ~spl30_6 | ~spl30_138), 15.15/2.51 inference(avatar_contradiction_clause,[],[f16737])). 15.15/2.51 tff(f16737,plain,( 15.15/2.51 $false | (spl30_5 | ~spl30_6 | ~spl30_138)), 15.15/2.51 inference(subsumption_resolution,[],[f16736,f511])). 15.15/2.51 tff(f16736,plain,( 15.15/2.51 is_empty(int,t2tb(sK8)) | (~spl30_6 | ~spl30_138)), 15.15/2.51 inference(subsumption_resolution,[],[f16724,f3683])). 15.15/2.51 tff(f16475,plain,( 15.15/2.51 ~spl30_368 | spl30_330 | ~spl30_335), 15.15/2.51 inference(avatar_split_clause,[],[f16470,f15866,f15836,f16472])). 15.15/2.51 tff(f16472,plain,( 15.15/2.51 spl30_368 <=> sK5 = $sum(max_elt1(below1(0)),1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_368])])). 15.15/2.51 tff(f15836,plain,( 15.15/2.51 spl30_330 <=> sK5 = $sum(max_elt1(pred1(sK0)),1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_330])])). 15.15/2.51 tff(f16470,plain,( 15.15/2.51 sK5 != $sum(max_elt1(below1(0)),1) | (spl30_330 | ~spl30_335)), 15.15/2.51 inference(forward_demodulation,[],[f15838,f15868])). 15.15/2.51 tff(f15838,plain,( 15.15/2.51 sK5 != $sum(max_elt1(pred1(sK0)),1) | spl30_330), 15.15/2.51 inference(avatar_component_clause,[],[f15836])). 15.15/2.51 tff(f16425,plain,( 15.15/2.51 ~spl30_367 | spl30_332 | ~spl30_30 | ~spl30_363), 15.15/2.51 inference(avatar_split_clause,[],[f16417,f16312,f697,f15846,f16422])). 15.15/2.51 tff(f15846,plain,( 15.15/2.51 spl30_332 <=> $less(sK14,n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_332])])). 15.15/2.51 tff(f16312,plain,( 15.15/2.51 spl30_363 <=> $less($sum(min_elt1(below1(0)),1),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_363])])). 15.15/2.51 tff(f16417,plain,( 15.15/2.51 $less(sK14,n1) | sK5 != min_elt1(below1(0)) | (~spl30_30 | ~spl30_363)), 15.15/2.51 inference(constrained_superposition,[],[f16314,f699])). 15.15/2.51 tff(f16314,plain,( 15.15/2.51 $less($sum(min_elt1(below1(0)),1),n1) | ~spl30_363), 15.15/2.51 inference(avatar_component_clause,[],[f16312])). 15.15/2.51 tff(f16381,plain,( 15.15/2.51 ~spl30_365 | ~spl30_366 | ~spl30_6 | spl30_124), 15.15/2.51 inference(avatar_split_clause,[],[f16344,f3414,f514,f16378,f16374])). 15.15/2.51 tff(f16344,plain,( 15.15/2.51 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK8)) | ~subset(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)) | (~spl30_6 | spl30_124)), 15.15/2.51 inference(resolution,[],[f3461,f3469])). 15.15/2.51 tff(f16328,plain,( 15.15/2.51 ~spl30_364 | ~spl30_335 | spl30_338), 15.15/2.51 inference(avatar_split_clause,[],[f16323,f15894,f15866,f16325])). 15.15/2.51 tff(f15894,plain,( 15.15/2.51 spl30_338 <=> $less($sum(max_elt1(pred1(sK0)),1),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_338])])). 15.15/2.51 tff(f16323,plain,( 15.15/2.51 ~$less($sum(max_elt1(below1(0)),1),0) | (~spl30_335 | spl30_338)), 15.15/2.51 inference(forward_demodulation,[],[f15896,f15868])). 15.15/2.51 tff(f15896,plain,( 15.15/2.51 ~$less($sum(max_elt1(pred1(sK0)),1),0) | spl30_338), 15.15/2.51 inference(avatar_component_clause,[],[f15894])). 15.15/2.51 tff(f16315,plain,( 15.15/2.51 spl30_363 | ~spl30_329 | ~spl30_335), 15.15/2.51 inference(avatar_split_clause,[],[f16310,f15866,f15816,f16312])). 15.15/2.51 tff(f15816,plain,( 15.15/2.51 spl30_329 <=> $less($sum(min_elt1(pred1(sK0)),1),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_329])])). 15.15/2.51 tff(f16310,plain,( 15.15/2.51 $less($sum(min_elt1(below1(0)),1),n1) | (~spl30_329 | ~spl30_335)), 15.15/2.51 inference(forward_demodulation,[],[f15818,f15868])). 15.15/2.51 tff(f15818,plain,( 15.15/2.51 $less($sum(min_elt1(pred1(sK0)),1),n1) | ~spl30_329), 15.15/2.51 inference(avatar_component_clause,[],[f15816])). 15.15/2.51 tff(f16303,plain,( 15.15/2.51 spl30_362 | ~spl30_328 | ~spl30_335), 15.15/2.51 inference(avatar_split_clause,[],[f16298,f15866,f15811,f16300])). 15.15/2.51 tff(f16300,plain,( 15.15/2.51 spl30_362 <=> $less($sum(max_elt1(below1(0)),1),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_362])])). 15.15/2.51 tff(f15811,plain,( 15.15/2.51 spl30_328 <=> $less($sum(max_elt1(pred1(sK0)),1),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_328])])). 15.15/2.51 tff(f16298,plain,( 15.15/2.51 $less($sum(max_elt1(below1(0)),1),n1) | (~spl30_328 | ~spl30_335)), 15.15/2.51 inference(forward_demodulation,[],[f15813,f15868])). 15.15/2.51 tff(f15813,plain,( 15.15/2.51 $less($sum(max_elt1(pred1(sK0)),1),n1) | ~spl30_328), 15.15/2.51 inference(avatar_component_clause,[],[f15811])). 15.15/2.51 tff(f16173,plain,( 15.15/2.51 spl30_361 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_355), 15.15/2.51 inference(avatar_split_clause,[],[f16151,f16131,f4452,f4283,f784,f16170])). 15.15/2.51 tff(f16170,plain,( 15.15/2.51 spl30_361 <=> below1(0) = succ1(sK2)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_361])])). 15.15/2.51 tff(f16131,plain,( 15.15/2.51 spl30_355 <=> is_empty(int,t2tb(succ1(sK2)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_355])])). 15.15/2.51 tff(f16151,plain,( 15.15/2.51 below1(0) = succ1(sK2) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_355)), 15.15/2.51 inference(resolution,[],[f16133,f5168])). 15.15/2.51 tff(f16133,plain,( 15.15/2.51 is_empty(int,t2tb(succ1(sK2))) | ~spl30_355), 15.15/2.51 inference(avatar_component_clause,[],[f16131])). 15.15/2.51 tff(f16168,plain,( 15.15/2.51 spl30_360 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_355), 15.15/2.51 inference(avatar_split_clause,[],[f16150,f16131,f5630,f4452,f4283,f784,f16165])). 15.15/2.51 tff(f16165,plain,( 15.15/2.51 spl30_360 <=> succ1(sK2) = succ1(succ1(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_360])])). 15.15/2.51 tff(f16150,plain,( 15.15/2.51 succ1(sK2) = succ1(succ1(sK2)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_355)), 15.15/2.51 inference(resolution,[],[f16133,f9496])). 15.15/2.51 tff(f16163,plain,( 15.15/2.51 spl30_359 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_355), 15.15/2.51 inference(avatar_split_clause,[],[f16149,f16131,f5635,f4452,f4283,f784,f16160])). 15.15/2.51 tff(f16160,plain,( 15.15/2.51 spl30_359 <=> succ1(sK2) = pred1(succ1(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_359])])). 15.15/2.51 tff(f16149,plain,( 15.15/2.51 succ1(sK2) = pred1(succ1(sK2)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_355)), 15.15/2.51 inference(resolution,[],[f16133,f9650])). 15.15/2.51 tff(f16158,plain,( 15.15/2.51 ~spl30_358 | spl30_344 | ~spl30_355), 15.15/2.51 inference(avatar_split_clause,[],[f16148,f16131,f16031,f16155])). 15.15/2.51 tff(f16155,plain,( 15.15/2.51 spl30_358 <=> sK0 = sK2), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_358])])). 15.15/2.51 tff(f16031,plain,( 15.15/2.51 spl30_344 <=> is_empty(int,t2tb(succ1(sK0)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_344])])). 15.15/2.51 tff(f16148,plain,( 15.15/2.51 sK0 != sK2 | (spl30_344 | ~spl30_355)), 15.15/2.51 inference(constrained_resolution,[],[f16133,f16032])). 15.15/2.51 tff(f16032,plain,( 15.15/2.51 ~is_empty(int,t2tb(succ1(sK0))) | spl30_344), 15.15/2.51 inference(avatar_component_clause,[],[f16031])). 15.15/2.51 tff(f16147,plain,( 15.15/2.51 spl30_355 | ~spl30_357), 15.15/2.51 inference(avatar_split_clause,[],[f16146,f16140,f16131])). 15.15/2.51 tff(f16140,plain,( 15.15/2.51 spl30_357 <=> $less(sK20($sum(min_elt1(succ1(sK2)),-1)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_357])])). 15.15/2.51 tff(f16146,plain,( 15.15/2.51 ~$less(sK20($sum(min_elt1(succ1(sK2)),-1)),0) | is_empty(int,t2tb(succ1(sK2)))), 15.15/2.51 inference(forward_demodulation,[],[f16121,f309])). 15.15/2.51 tff(f16121,plain,( 15.15/2.51 ~$less(sK20($sum(min_elt1(tb2t(t2tb(succ1(sK2)))),-1)),0) | is_empty(int,t2tb(succ1(sK2)))), 15.15/2.51 inference(resolution,[],[f3639,f879])). 15.15/2.51 tff(f3639,plain,( 15.15/2.51 ( ! [X31 : $int] : (~mem(int,t2tb1(X31),t2tb(succ1(sK2))) | ~$less(sK20($sum(X31,-1)),0)) )), 15.15/2.51 inference(subsumption_resolution,[],[f3617,f353])). 15.15/2.51 tff(f353,plain,( 15.15/2.51 ( ! [X0 : set_int,X1 : $int] : (~mem(int,t2tb1(X1),t2tb(succ1(X0))) | ~$less(X1,1)) )), 15.15/2.51 inference(cnf_transformation,[],[f229])). 15.15/2.51 tff(f3617,plain,( 15.15/2.51 ( ! [X31 : $int] : (~mem(int,t2tb1(X31),t2tb(succ1(sK2))) | ~$less(sK20($sum(X31,-1)),0) | $less(X31,1)) )), 15.15/2.51 inference(cancellation,[],[f3609])). 15.15/2.51 tff(f3609,plain,( 15.15/2.51 ( ! [X31 : $int] : (~mem(int,t2tb1(X31),t2tb(succ1(sK2))) | ~$less(sK20($sum(X31,-1)),0) | $less($sum(X31,-1),0)) )), 15.15/2.51 inference(resolution,[],[f1607,f1115])). 15.15/2.51 tff(f16145,plain,( 15.15/2.51 spl30_355 | ~spl30_356), 15.15/2.51 inference(avatar_split_clause,[],[f16144,f16135,f16131])). 15.15/2.51 tff(f16135,plain,( 15.15/2.51 spl30_356 <=> $less(sK20($sum(max_elt1(succ1(sK2)),-1)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_356])])). 15.15/2.51 tff(f16144,plain,( 15.15/2.51 ~$less(sK20($sum(max_elt1(succ1(sK2)),-1)),0) | is_empty(int,t2tb(succ1(sK2)))), 15.15/2.51 inference(forward_demodulation,[],[f16120,f309])). 15.15/2.51 tff(f16120,plain,( 15.15/2.51 ~$less(sK20($sum(max_elt1(tb2t(t2tb(succ1(sK2)))),-1)),0) | is_empty(int,t2tb(succ1(sK2)))), 15.15/2.51 inference(resolution,[],[f3639,f845])). 15.15/2.51 tff(f16143,plain,( 15.15/2.51 spl30_355 | ~spl30_357), 15.15/2.51 inference(avatar_split_clause,[],[f16117,f16140,f16131])). 15.15/2.51 tff(f16117,plain,( 15.15/2.51 ~$less(sK20($sum(min_elt1(succ1(sK2)),-1)),0) | is_empty(int,t2tb(succ1(sK2)))), 15.15/2.51 inference(resolution,[],[f3639,f324])). 15.15/2.51 tff(f16138,plain,( 15.15/2.51 spl30_355 | ~spl30_356), 15.15/2.51 inference(avatar_split_clause,[],[f16116,f16135,f16131])). 15.15/2.51 tff(f16116,plain,( 15.15/2.51 ~$less(sK20($sum(max_elt1(succ1(sK2)),-1)),0) | is_empty(int,t2tb(succ1(sK2)))), 15.15/2.51 inference(resolution,[],[f3639,f323])). 15.15/2.51 tff(f16113,plain,( 15.15/2.51 ~spl30_354 | spl30_344), 15.15/2.51 inference(avatar_split_clause,[],[f16102,f16031,f16110])). 15.15/2.51 tff(f16102,plain,( 15.15/2.51 ~$less(max_elt1(succ1(sK0)),1) | spl30_344), 15.15/2.51 inference(resolution,[],[f16032,f836])). 15.15/2.51 tff(f836,plain,( 15.15/2.51 ( ! [X2 : set_int] : (is_empty(int,t2tb(succ1(X2))) | ~$less(max_elt1(succ1(X2)),1)) )), 15.15/2.51 inference(resolution,[],[f323,f353])). 15.15/2.51 tff(f16108,plain,( 15.15/2.51 ~spl30_353 | spl30_344), 15.15/2.51 inference(avatar_split_clause,[],[f16101,f16031,f16105])). 15.15/2.51 tff(f16101,plain,( 15.15/2.51 ~$less(min_elt1(succ1(sK0)),1) | spl30_344), 15.15/2.51 inference(resolution,[],[f16032,f870])). 15.15/2.51 tff(f870,plain,( 15.15/2.51 ( ! [X2 : set_int] : (is_empty(int,t2tb(succ1(X2))) | ~$less(min_elt1(succ1(X2)),1)) )), 15.15/2.51 inference(resolution,[],[f324,f353])). 15.15/2.51 tff(f16099,plain,( 15.15/2.51 spl30_350 | ~spl30_352), 15.15/2.51 inference(avatar_split_clause,[],[f16098,f16092,f16083])). 15.15/2.51 tff(f16083,plain,( 15.15/2.51 spl30_350 <=> is_empty(int,t2tb(succ1(sK1)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_350])])). 15.15/2.51 tff(f16098,plain,( 15.15/2.51 ~$less(sK19($sum(min_elt1(succ1(sK1)),-1)),0) | is_empty(int,t2tb(succ1(sK1)))), 15.15/2.51 inference(forward_demodulation,[],[f16073,f309])). 15.15/2.51 tff(f16073,plain,( 15.15/2.51 ~$less(sK19($sum(min_elt1(tb2t(t2tb(succ1(sK1)))),-1)),0) | is_empty(int,t2tb(succ1(sK1)))), 15.15/2.51 inference(resolution,[],[f3637,f879])). 15.15/2.51 tff(f3637,plain,( 15.15/2.51 ( ! [X27 : $int] : (~mem(int,t2tb1(X27),t2tb(succ1(sK1))) | ~$less(sK19($sum(X27,-1)),0)) )), 15.15/2.51 inference(subsumption_resolution,[],[f3619,f353])). 15.15/2.51 tff(f3619,plain,( 15.15/2.51 ( ! [X27 : $int] : (~mem(int,t2tb1(X27),t2tb(succ1(sK1))) | ~$less(sK19($sum(X27,-1)),0) | $less(X27,1)) )), 15.15/2.51 inference(cancellation,[],[f3605])). 15.15/2.51 tff(f3605,plain,( 15.15/2.51 ( ! [X27 : $int] : (~mem(int,t2tb1(X27),t2tb(succ1(sK1))) | ~$less(sK19($sum(X27,-1)),0) | $less($sum(X27,-1),0)) )), 15.15/2.51 inference(resolution,[],[f1607,f1110])). 15.15/2.51 tff(f16097,plain,( 15.15/2.51 spl30_350 | ~spl30_351), 15.15/2.51 inference(avatar_split_clause,[],[f16096,f16087,f16083])). 15.15/2.51 tff(f16087,plain,( 15.15/2.51 spl30_351 <=> $less(sK19($sum(max_elt1(succ1(sK1)),-1)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_351])])). 15.15/2.51 tff(f16096,plain,( 15.15/2.51 ~$less(sK19($sum(max_elt1(succ1(sK1)),-1)),0) | is_empty(int,t2tb(succ1(sK1)))), 15.15/2.51 inference(forward_demodulation,[],[f16072,f309])). 15.15/2.51 tff(f16072,plain,( 15.15/2.51 ~$less(sK19($sum(max_elt1(tb2t(t2tb(succ1(sK1)))),-1)),0) | is_empty(int,t2tb(succ1(sK1)))), 15.15/2.51 inference(resolution,[],[f3637,f845])). 15.15/2.51 tff(f16095,plain,( 15.15/2.51 spl30_350 | ~spl30_352), 15.15/2.51 inference(avatar_split_clause,[],[f16069,f16092,f16083])). 15.15/2.51 tff(f16069,plain,( 15.15/2.51 ~$less(sK19($sum(min_elt1(succ1(sK1)),-1)),0) | is_empty(int,t2tb(succ1(sK1)))), 15.15/2.51 inference(resolution,[],[f3637,f324])). 15.15/2.51 tff(f16090,plain,( 15.15/2.51 spl30_350 | ~spl30_351), 15.15/2.51 inference(avatar_split_clause,[],[f16068,f16087,f16083])). 15.15/2.51 tff(f16068,plain,( 15.15/2.51 ~$less(sK19($sum(max_elt1(succ1(sK1)),-1)),0) | is_empty(int,t2tb(succ1(sK1)))), 15.15/2.51 inference(resolution,[],[f3637,f323])). 15.15/2.51 tff(f16067,plain,( 15.15/2.51 spl30_349 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_344), 15.15/2.51 inference(avatar_split_clause,[],[f16050,f16031,f4452,f4283,f784,f16064])). 15.15/2.51 tff(f16064,plain,( 15.15/2.51 spl30_349 <=> below1(0) = succ1(sK0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_349])])). 15.15/2.51 tff(f16050,plain,( 15.15/2.51 below1(0) = succ1(sK0) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_344)), 15.15/2.51 inference(resolution,[],[f16033,f5168])). 15.15/2.51 tff(f16033,plain,( 15.15/2.51 is_empty(int,t2tb(succ1(sK0))) | ~spl30_344), 15.15/2.51 inference(avatar_component_clause,[],[f16031])). 15.15/2.51 tff(f16062,plain,( 15.15/2.51 spl30_348 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_344), 15.15/2.51 inference(avatar_split_clause,[],[f16049,f16031,f5630,f4452,f4283,f784,f16059])). 15.15/2.51 tff(f16059,plain,( 15.15/2.51 spl30_348 <=> succ1(sK0) = succ1(succ1(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_348])])). 15.15/2.51 tff(f16049,plain,( 15.15/2.51 succ1(sK0) = succ1(succ1(sK0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_344)), 15.15/2.51 inference(resolution,[],[f16033,f9496])). 15.15/2.51 tff(f16057,plain,( 15.15/2.51 spl30_347 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_344), 15.15/2.51 inference(avatar_split_clause,[],[f16048,f16031,f5635,f4452,f4283,f784,f16054])). 15.15/2.51 tff(f16054,plain,( 15.15/2.51 spl30_347 <=> succ1(sK0) = pred1(succ1(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_347])])). 15.15/2.51 tff(f16048,plain,( 15.15/2.51 succ1(sK0) = pred1(succ1(sK0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_344)), 15.15/2.51 inference(resolution,[],[f16033,f9650])). 15.15/2.51 tff(f16047,plain,( 15.15/2.51 spl30_344 | spl30_346), 15.15/2.51 inference(avatar_split_clause,[],[f16046,f16040,f16031])). 15.15/2.51 tff(f16040,plain,( 15.15/2.51 spl30_346 <=> $less($sum(min_elt1(succ1(sK0)),-1),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_346])])). 15.15/2.51 tff(f16046,plain,( 15.15/2.51 $less($sum(min_elt1(succ1(sK0)),-1),n1) | is_empty(int,t2tb(succ1(sK0)))), 15.15/2.51 inference(forward_demodulation,[],[f16021,f309])). 15.15/2.51 tff(f16021,plain,( 15.15/2.51 $less($sum(min_elt1(tb2t(t2tb(succ1(sK0)))),-1),n1) | is_empty(int,t2tb(succ1(sK0)))), 15.15/2.51 inference(resolution,[],[f3600,f879])). 15.15/2.51 tff(f16045,plain,( 15.15/2.51 spl30_344 | spl30_345), 15.15/2.51 inference(avatar_split_clause,[],[f16044,f16035,f16031])). 15.15/2.51 tff(f16035,plain,( 15.15/2.51 spl30_345 <=> $less($sum(max_elt1(succ1(sK0)),-1),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_345])])). 15.15/2.51 tff(f16044,plain,( 15.15/2.51 $less($sum(max_elt1(succ1(sK0)),-1),n1) | is_empty(int,t2tb(succ1(sK0)))), 15.15/2.51 inference(forward_demodulation,[],[f16020,f309])). 15.15/2.51 tff(f16020,plain,( 15.15/2.51 $less($sum(max_elt1(tb2t(t2tb(succ1(sK0)))),-1),n1) | is_empty(int,t2tb(succ1(sK0)))), 15.15/2.51 inference(resolution,[],[f3600,f845])). 15.15/2.51 tff(f16043,plain,( 15.15/2.51 spl30_344 | spl30_346), 15.15/2.51 inference(avatar_split_clause,[],[f16017,f16040,f16031])). 15.15/2.51 tff(f16017,plain,( 15.15/2.51 $less($sum(min_elt1(succ1(sK0)),-1),n1) | is_empty(int,t2tb(succ1(sK0)))), 15.15/2.51 inference(resolution,[],[f3600,f324])). 15.15/2.51 tff(f16038,plain,( 15.15/2.51 spl30_344 | spl30_345), 15.15/2.51 inference(avatar_split_clause,[],[f16016,f16035,f16031])). 15.15/2.51 tff(f16016,plain,( 15.15/2.51 $less($sum(max_elt1(succ1(sK0)),-1),n1) | is_empty(int,t2tb(succ1(sK0)))), 15.15/2.51 inference(resolution,[],[f3600,f323])). 15.15/2.51 tff(f16009,plain,( 15.15/2.51 ~spl30_343 | spl30_331 | ~spl30_335), 15.15/2.51 inference(avatar_split_clause,[],[f15987,f15866,f15842,f16006])). 15.15/2.51 tff(f15842,plain,( 15.15/2.51 spl30_331 <=> sK5 = max_elt1(pred1(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_331])])). 15.15/2.51 tff(f15987,plain,( 15.15/2.51 sK5 != max_elt1(below1(0)) | (spl30_331 | ~spl30_335)), 15.15/2.51 inference(backward_demodulation,[],[f15844,f15868])). 15.15/2.51 tff(f15844,plain,( 15.15/2.51 sK5 != max_elt1(pred1(sK0)) | spl30_331), 15.15/2.51 inference(avatar_component_clause,[],[f15842])). 15.15/2.51 tff(f15983,plain,( 15.15/2.51 spl30_335 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_327), 15.15/2.51 inference(avatar_split_clause,[],[f15978,f15807,f4452,f4283,f784,f15866])). 15.15/2.51 tff(f15807,plain,( 15.15/2.51 spl30_327 <=> is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_327])])). 15.15/2.51 tff(f15978,plain,( 15.15/2.51 below1(0) = pred1(sK0) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_327)), 15.15/2.51 inference(resolution,[],[f15809,f5168])). 15.15/2.51 tff(f15809,plain,( 15.15/2.51 is_empty(int,t2tb(pred1(sK0))) | ~spl30_327), 15.15/2.51 inference(avatar_component_clause,[],[f15807])). 15.15/2.51 tff(f15982,plain,( 15.15/2.51 spl30_334 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_327), 15.15/2.51 inference(avatar_split_clause,[],[f15977,f15807,f5630,f4452,f4283,f784,f15861])). 15.15/2.51 tff(f15861,plain,( 15.15/2.51 spl30_334 <=> pred1(sK0) = succ1(pred1(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_334])])). 15.15/2.51 tff(f15977,plain,( 15.15/2.51 pred1(sK0) = succ1(pred1(sK0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_327)), 15.15/2.51 inference(resolution,[],[f15809,f9496])). 15.15/2.51 tff(f15981,plain,( 15.15/2.51 spl30_333 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_327), 15.15/2.51 inference(avatar_split_clause,[],[f15976,f15807,f5635,f4452,f4283,f784,f15856])). 15.15/2.51 tff(f15856,plain,( 15.15/2.51 spl30_333 <=> pred1(sK0) = pred1(pred1(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_333])])). 15.15/2.51 tff(f15976,plain,( 15.15/2.51 pred1(sK0) = pred1(pred1(sK0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_327)), 15.15/2.51 inference(resolution,[],[f15809,f9650])). 15.15/2.51 tff(f15975,plain,( 15.15/2.51 ~spl30_342 | spl30_327), 15.15/2.51 inference(avatar_split_clause,[],[f15964,f15807,f15972])). 15.15/2.51 tff(f15972,plain,( 15.15/2.51 spl30_342 <=> $less(max_elt1(pred1(sK0)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_342])])). 15.15/2.51 tff(f15964,plain,( 15.15/2.51 ~$less(max_elt1(pred1(sK0)),0) | spl30_327), 15.15/2.51 inference(resolution,[],[f15808,f838])). 15.15/2.51 tff(f15808,plain,( 15.15/2.51 ~is_empty(int,t2tb(pred1(sK0))) | spl30_327), 15.15/2.51 inference(avatar_component_clause,[],[f15807])). 15.15/2.51 tff(f15970,plain,( 15.15/2.51 ~spl30_341 | spl30_327), 15.15/2.51 inference(avatar_split_clause,[],[f15963,f15807,f15967])). 15.15/2.51 tff(f15967,plain,( 15.15/2.51 spl30_341 <=> $less(min_elt1(pred1(sK0)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_341])])). 15.15/2.51 tff(f15963,plain,( 15.15/2.51 ~$less(min_elt1(pred1(sK0)),0) | spl30_327), 15.15/2.51 inference(resolution,[],[f15808,f872])). 15.15/2.51 tff(f15961,plain,( 15.15/2.51 spl30_188 | spl30_189 | spl30_21 | ~spl30_30 | spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f15960,f6966,f697,f609,f6973,f6970])). 15.15/2.51 tff(f6970,plain,( 15.15/2.51 spl30_188 <=> ! [X1 : $int] : (sK5 != X1 | ~$less(1,X1))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_188])])). 15.15/2.51 tff(f6973,plain,( 15.15/2.51 spl30_189 <=> ! [X0 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(1))) != $sum(sK14,$uminus(X0)) | sK5 != X0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_189])])). 15.15/2.51 tff(f15960,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(1))) != $sum(sK14,$uminus(X10)) | sK5 != X10 | sK5 != X11 | ~$less(1,X11)) ) | (spl30_21 | ~spl30_30 | spl30_187)), 15.15/2.51 inference(subsumption_resolution,[],[f15959,f611])). 15.15/2.51 tff(f15959,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(1))) != $sum(sK14,$uminus(X10)) | sK5 != X10 | sK5 != X11 | ~$less(1,X11) | $less(sK5,0)) ) | (~spl30_30 | spl30_187)), 15.15/2.51 inference(subsumption_resolution,[],[f15952,f6967])). 15.15/2.51 tff(f15952,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(1))) != $sum(sK14,$uminus(X10)) | sK5 != X10 | sK5 != X11 | ~$less(1,X11) | mem(int,t2tb1(sK5),t2tb(sK1)) | $less(sK5,0)) ) | ~spl30_30), 15.15/2.51 inference(evaluation,[],[f15951])). 15.15/2.51 tff(f15951,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(1))) != $sum(sK14,$uminus(X10)) | sK5 != X10 | $less(1,0) | sK5 != X11 | ~$less(1,X11) | mem(int,t2tb1(sK5),t2tb(sK1)) | $less(sK5,0)) ) | ~spl30_30), 15.15/2.51 inference(superposition,[],[f1957,f699])). 15.15/2.51 tff(f15956,plain,( 15.15/2.51 ~spl30_79 | ~spl30_30 | ~spl30_78 | spl30_80), 15.15/2.51 inference(avatar_split_clause,[],[f15955,f1869,f1847,f697,f1865])). 15.15/2.51 tff(f1865,plain,( 15.15/2.51 spl30_79 <=> 1 = cardinal1(int,t2tb(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_79])])). 15.15/2.51 tff(f1869,plain,( 15.15/2.51 spl30_80 <=> n1 = sK14), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_80])])). 15.15/2.51 tff(f15955,plain,( 15.15/2.51 1 != cardinal1(int,t2tb(sK0)) | (~spl30_30 | ~spl30_78 | spl30_80)), 15.15/2.51 inference(subsumption_resolution,[],[f15945,f1870])). 15.15/2.51 tff(f1870,plain,( 15.15/2.51 n1 != sK14 | spl30_80), 15.15/2.51 inference(avatar_component_clause,[],[f1869])). 15.15/2.51 tff(f15945,plain,( 15.15/2.51 n1 = sK14 | 1 != cardinal1(int,t2tb(sK0)) | (~spl30_30 | ~spl30_78)), 15.15/2.51 inference(constrained_superposition,[],[f1849,f699])). 15.15/2.51 tff(f15954,plain,( 15.15/2.51 ~spl30_79 | ~spl30_30 | ~spl30_78 | spl30_80), 15.15/2.51 inference(avatar_split_clause,[],[f15953,f1869,f1847,f697,f1865])). 15.15/2.51 tff(f15953,plain,( 15.15/2.51 1 != cardinal1(int,t2tb(sK0)) | (~spl30_30 | ~spl30_78 | spl30_80)), 15.15/2.51 inference(subsumption_resolution,[],[f15944,f1870])). 15.15/2.51 tff(f15944,plain,( 15.15/2.51 n1 = sK14 | 1 != cardinal1(int,t2tb(sK0)) | (~spl30_30 | ~spl30_78)), 15.15/2.51 inference(constrained_superposition,[],[f699,f1849])). 15.15/2.51 tff(f15935,plain,( 15.15/2.51 ~spl30_120 | spl30_19 | ~spl30_23), 15.15/2.51 inference(avatar_split_clause,[],[f15929,f634,f590,f2722])). 15.15/2.51 tff(f634,plain,( 15.15/2.51 spl30_23 <=> $less(sK16,sK14)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_23])])). 15.15/2.51 tff(f15929,plain,( 15.15/2.51 ~$less(sK14,0) | (spl30_19 | ~spl30_23)), 15.15/2.51 inference(resolution,[],[f636,f2671])). 15.15/2.51 tff(f2671,plain,( 15.15/2.51 ( ! [X26 : $int] : (~$less(sK16,X26) | ~$less(X26,0)) ) | spl30_19), 15.15/2.51 inference(resolution,[],[f2595,f592])). 15.15/2.51 tff(f636,plain,( 15.15/2.51 $less(sK16,sK14) | ~spl30_23), 15.15/2.51 inference(avatar_component_clause,[],[f634])). 15.15/2.51 tff(f15934,plain,( 15.15/2.51 ~spl30_77 | ~spl30_23 | ~spl30_73), 15.15/2.51 inference(avatar_split_clause,[],[f15928,f1717,f634,f1734])). 15.15/2.51 tff(f1734,plain,( 15.15/2.51 spl30_77 <=> partial_solution1(sK14,sK13)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_77])])). 15.15/2.51 tff(f1717,plain,( 15.15/2.51 spl30_73 <=> ! [X1 : $int] : (~$less(sK16,X1) | ~partial_solution1(X1,sK13))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_73])])). 15.15/2.51 tff(f15928,plain,( 15.15/2.51 ~partial_solution1(sK14,sK13) | (~spl30_23 | ~spl30_73)), 15.15/2.51 inference(resolution,[],[f636,f1718])). 15.15/2.51 tff(f1718,plain,( 15.15/2.51 ( ! [X1 : $int] : (~$less(sK16,X1) | ~partial_solution1(X1,sK13)) ) | ~spl30_73), 15.15/2.51 inference(avatar_component_clause,[],[f1717])). 15.15/2.51 tff(f15927,plain,( 15.15/2.51 spl30_340 | ~spl30_30 | ~spl30_80), 15.15/2.51 inference(avatar_split_clause,[],[f15918,f1869,f697,f15924])). 15.15/2.51 tff(f15924,plain,( 15.15/2.51 spl30_340 <=> n1 = $sum(sK5,1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_340])])). 15.15/2.51 tff(f15918,plain,( 15.15/2.51 n1 = $sum(sK5,1) | (~spl30_30 | ~spl30_80)), 15.15/2.51 inference(backward_demodulation,[],[f699,f1871])). 15.15/2.51 tff(f1871,plain,( 15.15/2.51 n1 = sK14 | ~spl30_80), 15.15/2.51 inference(avatar_component_clause,[],[f1869])). 15.15/2.51 tff(f15906,plain,( 15.15/2.51 spl30_327 | ~spl30_339), 15.15/2.51 inference(avatar_split_clause,[],[f15905,f15899,f15807])). 15.15/2.51 tff(f15899,plain,( 15.15/2.51 spl30_339 <=> $less($sum(min_elt1(pred1(sK0)),1),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_339])])). 15.15/2.51 tff(f15905,plain,( 15.15/2.51 ~$less($sum(min_elt1(pred1(sK0)),1),0) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(forward_demodulation,[],[f15884,f309])). 15.15/2.51 tff(f15884,plain,( 15.15/2.51 ~$less($sum(min_elt1(tb2t(t2tb(pred1(sK0)))),1),0) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(resolution,[],[f3521,f879])). 15.15/2.51 tff(f3521,plain,( 15.15/2.51 ( ! [X23 : $int] : (~mem(int,t2tb1(X23),t2tb(pred1(sK0))) | ~$less($sum(X23,1),0)) )), 15.15/2.51 inference(resolution,[],[f1586,f275])). 15.15/2.51 tff(f15904,plain,( 15.15/2.51 spl30_327 | ~spl30_338), 15.15/2.51 inference(avatar_split_clause,[],[f15903,f15894,f15807])). 15.15/2.51 tff(f15903,plain,( 15.15/2.51 ~$less($sum(max_elt1(pred1(sK0)),1),0) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(forward_demodulation,[],[f15883,f309])). 15.15/2.51 tff(f15883,plain,( 15.15/2.51 ~$less($sum(max_elt1(tb2t(t2tb(pred1(sK0)))),1),0) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(resolution,[],[f3521,f845])). 15.15/2.51 tff(f15902,plain,( 15.15/2.51 spl30_327 | ~spl30_339), 15.15/2.51 inference(avatar_split_clause,[],[f15880,f15899,f15807])). 15.15/2.51 tff(f15880,plain,( 15.15/2.51 ~$less($sum(min_elt1(pred1(sK0)),1),0) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(resolution,[],[f3521,f324])). 15.15/2.51 tff(f15897,plain,( 15.15/2.51 spl30_327 | ~spl30_338), 15.15/2.51 inference(avatar_split_clause,[],[f15879,f15894,f15807])). 15.15/2.51 tff(f15879,plain,( 15.15/2.51 ~$less($sum(max_elt1(pred1(sK0)),1),0) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(resolution,[],[f3521,f323])). 15.15/2.51 tff(f15878,plain,( 15.15/2.51 ~spl30_79 | spl30_337 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f3532,f1847,f15876,f1865])). 15.15/2.51 tff(f15876,plain,( 15.15/2.51 spl30_337 <=> ! [X0 : set_int] : (mem(int,t2tb1(n1),t2tb(X0)) | ~mem(int,t2tb1(sK5),t2tb(pred1(X0))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_337])])). 15.15/2.51 tff(f3532,plain,( 15.15/2.51 ( ! [X0 : set_int] : (mem(int,t2tb1(n1),t2tb(X0)) | ~mem(int,t2tb1(sK5),t2tb(pred1(X0))) | 1 != cardinal1(int,t2tb(sK0))) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f1586,f1849])). 15.15/2.51 tff(f15874,plain,( 15.15/2.51 ~spl30_79 | spl30_336 | spl30_21 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f15870,f1847,f609,f15872,f1865])). 15.15/2.51 tff(f15872,plain,( 15.15/2.51 spl30_336 <=> ! [X0 : set_int] : (~mem(int,t2tb1(n1),t2tb(X0)) | mem(int,t2tb1(sK5),t2tb(pred1(X0))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_336])])). 15.15/2.51 tff(f15870,plain,( 15.15/2.51 ( ! [X0 : set_int] : (~mem(int,t2tb1(n1),t2tb(X0)) | mem(int,t2tb1(sK5),t2tb(pred1(X0))) | 1 != cardinal1(int,t2tb(sK0))) ) | (spl30_21 | ~spl30_78)), 15.15/2.51 inference(subsumption_resolution,[],[f4121,f611])). 15.15/2.51 tff(f4121,plain,( 15.15/2.51 ( ! [X0 : set_int] : (~mem(int,t2tb1(n1),t2tb(X0)) | mem(int,t2tb1(sK5),t2tb(pred1(X0))) | $less(sK5,0) | 1 != cardinal1(int,t2tb(sK0))) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f1688,f1849])). 15.15/2.51 tff(f15869,plain,( 15.15/2.51 spl30_335 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_327), 15.15/2.51 inference(avatar_split_clause,[],[f15852,f15807,f4452,f4283,f784,f15866])). 15.15/2.51 tff(f15852,plain,( 15.15/2.51 below1(0) = pred1(sK0) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_327)), 15.15/2.51 inference(resolution,[],[f15809,f5168])). 15.15/2.51 tff(f15864,plain,( 15.15/2.51 spl30_334 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_327), 15.15/2.51 inference(avatar_split_clause,[],[f15851,f15807,f5630,f4452,f4283,f784,f15861])). 15.15/2.51 tff(f15851,plain,( 15.15/2.51 pred1(sK0) = succ1(pred1(sK0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_175 | ~spl30_327)), 15.15/2.51 inference(resolution,[],[f15809,f9496])). 15.15/2.51 tff(f15859,plain,( 15.15/2.51 spl30_333 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_327), 15.15/2.51 inference(avatar_split_clause,[],[f15850,f15807,f5635,f4452,f4283,f784,f15856])). 15.15/2.51 tff(f15850,plain,( 15.15/2.51 pred1(sK0) = pred1(pred1(sK0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_176 | ~spl30_327)), 15.15/2.51 inference(resolution,[],[f15809,f9650])). 15.15/2.51 tff(f15849,plain,( 15.15/2.51 ~spl30_331 | spl30_332 | ~spl30_30 | ~spl30_328), 15.15/2.51 inference(avatar_split_clause,[],[f15832,f15811,f697,f15846,f15842])). 15.15/2.51 tff(f15832,plain,( 15.15/2.51 $less(sK14,n1) | sK5 != max_elt1(pred1(sK0)) | (~spl30_30 | ~spl30_328)), 15.15/2.51 inference(constrained_superposition,[],[f15813,f699])). 15.15/2.51 tff(f15839,plain,( 15.15/2.51 ~spl30_330 | spl30_105 | ~spl30_328), 15.15/2.51 inference(avatar_split_clause,[],[f15824,f15811,f2241,f15836])). 15.15/2.51 tff(f15824,plain,( 15.15/2.51 sK5 != $sum(max_elt1(pred1(sK0)),1) | (spl30_105 | ~spl30_328)), 15.15/2.51 inference(constrained_resolution,[],[f15813,f2243])). 15.15/2.51 tff(f15823,plain,( 15.15/2.51 spl30_327 | spl30_329), 15.15/2.51 inference(avatar_split_clause,[],[f15822,f15816,f15807])). 15.15/2.51 tff(f15822,plain,( 15.15/2.51 $less($sum(min_elt1(pred1(sK0)),1),n1) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(forward_demodulation,[],[f15797,f309])). 15.15/2.51 tff(f15797,plain,( 15.15/2.51 $less($sum(min_elt1(tb2t(t2tb(pred1(sK0)))),1),n1) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(resolution,[],[f3520,f879])). 15.15/2.51 tff(f3520,plain,( 15.15/2.51 ( ! [X22 : $int] : (~mem(int,t2tb1(X22),t2tb(pred1(sK0))) | $less($sum(X22,1),n1)) )), 15.15/2.51 inference(resolution,[],[f1586,f732])). 15.15/2.51 tff(f15821,plain,( 15.15/2.51 spl30_327 | spl30_328), 15.15/2.51 inference(avatar_split_clause,[],[f15820,f15811,f15807])). 15.15/2.51 tff(f15820,plain,( 15.15/2.51 $less($sum(max_elt1(pred1(sK0)),1),n1) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(forward_demodulation,[],[f15796,f309])). 15.15/2.51 tff(f15796,plain,( 15.15/2.51 $less($sum(max_elt1(tb2t(t2tb(pred1(sK0)))),1),n1) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(resolution,[],[f3520,f845])). 15.15/2.51 tff(f15819,plain,( 15.15/2.51 spl30_327 | spl30_329), 15.15/2.51 inference(avatar_split_clause,[],[f15793,f15816,f15807])). 15.15/2.51 tff(f15793,plain,( 15.15/2.51 $less($sum(min_elt1(pred1(sK0)),1),n1) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(resolution,[],[f3520,f324])). 15.15/2.51 tff(f15814,plain,( 15.15/2.51 spl30_327 | spl30_328), 15.15/2.51 inference(avatar_split_clause,[],[f15792,f15811,f15807])). 15.15/2.51 tff(f15792,plain,( 15.15/2.51 $less($sum(max_elt1(pred1(sK0)),1),n1) | is_empty(int,t2tb(pred1(sK0)))), 15.15/2.51 inference(resolution,[],[f3520,f323])). 15.15/2.51 tff(f15788,plain,( 15.15/2.51 ~spl30_326 | spl30_92), 15.15/2.51 inference(avatar_split_clause,[],[f15787,f2014,f15783])). 15.15/2.51 tff(f15783,plain,( 15.15/2.51 spl30_326 <=> diff(int,t2tb(sK0),t2tb(sK1)) = t2tb(sK2)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_326])])). 15.15/2.51 tff(f15787,plain,( 15.15/2.51 diff(int,t2tb(sK0),t2tb(sK1)) != t2tb(sK2) | spl30_92), 15.15/2.51 inference(subsumption_resolution,[],[f15780,f306])). 15.15/2.51 tff(f306,plain,( 15.15/2.51 ( ! [X0 : ty] : (is_empty(X0,empty(X0))) )), 15.15/2.51 inference(cnf_transformation,[],[f23])). 15.15/2.51 tff(f23,axiom,( 15.15/2.51 ! [X0 : ty] : is_empty(X0,empty(X0))), 15.15/2.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_def1)). 15.15/2.51 tff(f15780,plain,( 15.15/2.51 ~is_empty(int,empty(int)) | diff(int,t2tb(sK0),t2tb(sK1)) != t2tb(sK2) | spl30_92), 15.15/2.51 inference(constrained_superposition,[],[f2016,f3971])). 15.15/2.51 tff(f15786,plain,( 15.15/2.51 ~spl30_326 | spl30_92), 15.15/2.51 inference(avatar_split_clause,[],[f15777,f2014,f15783])). 15.15/2.51 tff(f15777,plain,( 15.15/2.51 diff(int,t2tb(sK0),t2tb(sK1)) != t2tb(sK2) | spl30_92), 15.15/2.51 inference(constrained_resolution,[],[f2016,f2936])). 15.15/2.51 tff(f2936,plain,( 15.15/2.51 ( ! [X2 : ty,X3 : uni] : (is_empty(X2,diff(X2,X3,X3))) )), 15.15/2.51 inference(duplicate_literal_removal,[],[f2925])). 15.15/2.51 tff(f2925,plain,( 15.15/2.51 ( ! [X2 : ty,X3 : uni] : (is_empty(X2,diff(X2,X3,X3)) | is_empty(X2,diff(X2,X3,X3))) )), 15.15/2.51 inference(resolution,[],[f946,f941])). 15.15/2.51 tff(f941,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK21(X0,diff(X0,X1,X2)),X1) | is_empty(X0,diff(X0,X1,X2))) )), 15.15/2.51 inference(resolution,[],[f417,f334])). 15.15/2.51 tff(f946,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : ty,X1 : uni] : (~mem(X0,sK21(X0,diff(X0,X1,X2)),X2) | is_empty(X0,diff(X0,X1,X2))) )), 15.15/2.51 inference(resolution,[],[f418,f334])). 15.15/2.51 tff(f15741,plain,( 15.15/2.51 spl30_102 | spl30_325 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15737,f1345,f609,f15739,f2202])). 15.15/2.51 tff(f15739,plain,( 15.15/2.51 spl30_325 <=> ! [X160 : map_int_int,X161 : $int,X158 : $int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(X160),sK5) | lt_sol1(sK13,X160) | tb2t1(get(int,int,t2tb2(X160),t2tb1(sK5))) != X161 | min_elt1(sK8) != X158 | ~$less(X158,X161))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_325])])). 15.15/2.51 tff(f15737,plain,( 15.15/2.51 ( ! [X160 : map_int_int,X158 : $int,X161 : $int,X159 : $int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(X160),sK5) | ~$less(sK5,X159) | min_elt1(sK8) != X158 | n1 != X159 | tb2t1(get(int,int,t2tb2(X160),t2tb1(sK5))) != X161 | lt_sol1(sK13,X160) | ~$less(X158,X161)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15736,f312])). 15.15/2.51 tff(f15736,plain,( 15.15/2.51 ( ! [X160 : map_int_int,X158 : $int,X161 : $int,X159 : $int] : (~$less(sK5,X159) | min_elt1(sK8) != X158 | n1 != X159 | tb2t1(get(int,int,t2tb2(X160),t2tb1(sK5))) != X161 | lt_sol1(sK13,X160) | ~$less(X158,X161) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X160),tb2t1(t2tb1(sK5)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15735,f312])). 15.15/2.51 tff(f15735,plain,( 15.15/2.51 ( ! [X160 : map_int_int,X158 : $int,X161 : $int,X159 : $int] : (min_elt1(sK8) != X158 | n1 != X159 | ~$less(tb2t1(t2tb1(sK5)),X159) | tb2t1(get(int,int,t2tb2(X160),t2tb1(sK5))) != X161 | lt_sol1(sK13,X160) | ~$less(X158,X161) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X160),tb2t1(t2tb1(sK5)))) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15734,f611])). 15.15/2.51 tff(f15734,plain,( 15.15/2.51 ( ! [X160 : map_int_int,X158 : $int,X161 : $int,X159 : $int] : ($less(sK5,0) | min_elt1(sK8) != X158 | n1 != X159 | ~$less(tb2t1(t2tb1(sK5)),X159) | tb2t1(get(int,int,t2tb2(X160),t2tb1(sK5))) != X161 | lt_sol1(sK13,X160) | ~$less(X158,X161) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X160),tb2t1(t2tb1(sK5)))) ) | ~spl30_59), 15.15/2.51 inference(forward_demodulation,[],[f15733,f312])). 15.15/2.51 tff(f15733,plain,( 15.15/2.51 ( ! [X160 : map_int_int,X158 : $int,X161 : $int,X159 : $int] : (min_elt1(sK8) != X158 | $less(tb2t1(t2tb1(sK5)),0) | n1 != X159 | ~$less(tb2t1(t2tb1(sK5)),X159) | tb2t1(get(int,int,t2tb2(X160),t2tb1(sK5))) != X161 | lt_sol1(sK13,X160) | ~$less(X158,X161) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X160),tb2t1(t2tb1(sK5)))) ) | ~spl30_59), 15.15/2.51 inference(forward_demodulation,[],[f15564,f312])). 15.15/2.51 tff(f15564,plain,( 15.15/2.51 ( ! [X160 : map_int_int,X158 : $int,X161 : $int,X159 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X158 | $less(tb2t1(t2tb1(sK5)),0) | n1 != X159 | ~$less(tb2t1(t2tb1(sK5)),X159) | tb2t1(get(int,int,t2tb2(X160),t2tb1(sK5))) != X161 | lt_sol1(sK13,X160) | ~$less(X158,X161) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X160),tb2t1(t2tb1(sK5)))) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f2182,f1347])). 15.15/2.51 tff(f15721,plain,( 15.15/2.51 spl30_323 | spl30_90 | spl30_324 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15720,f1345,f609,f15716,f1976,f15710])). 15.15/2.51 tff(f15720,plain,( 15.15/2.51 ( ! [X133 : $int,X136 : $int,X134 : $int,X137 : $int,X135 : $int] : (min_elt1(sK8) != X133 | sK5 != X134 | $sum($sum(X135,X134),$uminus(sK5)) != X133 | sK5 != X136 | ~$less(sK5,X136) | mem(int,t2tb1(X135),t2tb(sK2)) | $less(X135,0) | ~$less(sK5,X137) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X137)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15719,f312])). 15.15/2.51 tff(f15719,plain,( 15.15/2.51 ( ! [X133 : $int,X136 : $int,X134 : $int,X137 : $int,X135 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X133 | sK5 != X134 | $sum($sum(X135,X134),$uminus(sK5)) != X133 | sK5 != X136 | ~$less(sK5,X136) | mem(int,t2tb1(X135),t2tb(sK2)) | $less(X135,0) | ~$less(sK5,X137) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X137)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15557,f611])). 15.15/2.51 tff(f15557,plain,( 15.15/2.51 ( ! [X133 : $int,X136 : $int,X134 : $int,X137 : $int,X135 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X133 | sK5 != X134 | $sum($sum(X135,X134),$uminus(sK5)) != X133 | sK5 != X136 | ~$less(sK5,X136) | $less(sK5,0) | mem(int,t2tb1(X135),t2tb(sK2)) | $less(X135,0) | ~$less(sK5,X137) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X137)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f1991,f1347])). 15.15/2.51 tff(f15718,plain,( 15.15/2.51 spl30_322 | spl30_90 | spl30_324 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15714,f1345,f609,f15716,f1976,f15704])). 15.15/2.51 tff(f15714,plain,( 15.15/2.51 ( ! [X132 : $int,X130 : $int,X131 : $int,X128 : $int,X129 : $int] : (min_elt1(sK8) != X128 | sK5 != X129 | $sum($sum(X130,X129),$uminus(sK5)) != X128 | sK5 != X131 | ~$less(sK5,X131) | mem(int,t2tb1(X130),t2tb(sK2)) | $less(X130,0) | ~$less(sK5,X132) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X132)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15713,f312])). 15.15/2.51 tff(f15713,plain,( 15.15/2.51 ( ! [X132 : $int,X130 : $int,X131 : $int,X128 : $int,X129 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X128 | sK5 != X129 | $sum($sum(X130,X129),$uminus(sK5)) != X128 | sK5 != X131 | ~$less(sK5,X131) | mem(int,t2tb1(X130),t2tb(sK2)) | $less(X130,0) | ~$less(sK5,X132) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X132)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15556,f611])). 15.15/2.51 tff(f15556,plain,( 15.15/2.51 ( ! [X132 : $int,X130 : $int,X131 : $int,X128 : $int,X129 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X128 | sK5 != X129 | $sum($sum(X130,X129),$uminus(sK5)) != X128 | sK5 != X131 | ~$less(sK5,X131) | $less(sK5,0) | mem(int,t2tb1(X130),t2tb(sK2)) | $less(X130,0) | ~$less(sK5,X132) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X132)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f1990,f1347])). 15.15/2.51 tff(f15712,plain,( 15.15/2.51 spl30_323 | spl30_90 | spl30_91 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15708,f1345,f609,f1979,f1976,f15710])). 15.15/2.51 tff(f15708,plain,( 15.15/2.51 ( ! [X126 : $int,X127 : $int,X124 : $int,X125 : $int,X123 : $int] : (min_elt1(sK8) != X123 | sK5 != X124 | $sum($sum(X125,sK5),$uminus(X124)) != X123 | sK5 != X126 | ~$less(sK5,X126) | mem(int,t2tb1(X125),t2tb(sK1)) | $less(X125,0) | ~$less(sK5,X127) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X127)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15707,f312])). 15.15/2.51 tff(f15707,plain,( 15.15/2.51 ( ! [X126 : $int,X127 : $int,X124 : $int,X125 : $int,X123 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X123 | sK5 != X124 | $sum($sum(X125,sK5),$uminus(X124)) != X123 | sK5 != X126 | ~$less(sK5,X126) | mem(int,t2tb1(X125),t2tb(sK1)) | $less(X125,0) | ~$less(sK5,X127) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X127)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15555,f611])). 15.15/2.51 tff(f15555,plain,( 15.15/2.51 ( ! [X126 : $int,X127 : $int,X124 : $int,X125 : $int,X123 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X123 | sK5 != X124 | $sum($sum(X125,sK5),$uminus(X124)) != X123 | $less(sK5,0) | sK5 != X126 | ~$less(sK5,X126) | mem(int,t2tb1(X125),t2tb(sK1)) | $less(X125,0) | ~$less(sK5,X127) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X127)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f1959,f1347])). 15.15/2.51 tff(f15706,plain,( 15.15/2.51 spl30_322 | spl30_90 | spl30_91 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15702,f1345,f609,f1979,f1976,f15704])). 15.15/2.51 tff(f15702,plain,( 15.15/2.51 ( ! [X120 : $int,X118 : $int,X121 : $int,X119 : $int,X122 : $int] : (min_elt1(sK8) != X118 | sK5 != X119 | $sum($sum(X120,sK5),$uminus(X119)) != X118 | sK5 != X121 | ~$less(sK5,X121) | mem(int,t2tb1(X120),t2tb(sK1)) | $less(X120,0) | ~$less(sK5,X122) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X122)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15701,f312])). 15.15/2.51 tff(f15701,plain,( 15.15/2.51 ( ! [X120 : $int,X118 : $int,X121 : $int,X119 : $int,X122 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X118 | sK5 != X119 | $sum($sum(X120,sK5),$uminus(X119)) != X118 | sK5 != X121 | ~$less(sK5,X121) | mem(int,t2tb1(X120),t2tb(sK1)) | $less(X120,0) | ~$less(sK5,X122) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X122)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15554,f611])). 15.15/2.51 tff(f15554,plain,( 15.15/2.51 ( ! [X120 : $int,X118 : $int,X121 : $int,X119 : $int,X122 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X118 | sK5 != X119 | $sum($sum(X120,sK5),$uminus(X119)) != X118 | $less(sK5,0) | sK5 != X121 | ~$less(sK5,X121) | mem(int,t2tb1(X120),t2tb(sK1)) | $less(X120,0) | ~$less(sK5,X122) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X122)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f1958,f1347])). 15.15/2.51 tff(f15700,plain,( 15.15/2.51 spl30_319 | spl30_321 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15699,f1345,f609,f15695,f15680])). 15.15/2.51 tff(f15699,plain,( 15.15/2.51 ( ! [X113 : $int,X116 : map_int_int,X117 : $int,X114 : $int,X115 : $int] : (min_elt1(sK8) != X113 | n1 != X114 | $less(X113,X114) | ~$less(sK5,X115) | ~partial_solution1(X115,X116) | ~$less(sK5,X117) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X116),X117)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15698,f312])). 15.15/2.51 tff(f15698,plain,( 15.15/2.51 ( ! [X113 : $int,X116 : map_int_int,X117 : $int,X114 : $int,X115 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X113 | n1 != X114 | $less(X113,X114) | ~$less(sK5,X115) | ~partial_solution1(X115,X116) | ~$less(sK5,X117) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X116),X117)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15553,f611])). 15.15/2.51 tff(f15553,plain,( 15.15/2.51 ( ! [X113 : $int,X116 : map_int_int,X117 : $int,X114 : $int,X115 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X113 | n1 != X114 | $less(X113,X114) | ~$less(sK5,X115) | $less(sK5,0) | ~partial_solution1(X115,X116) | ~$less(sK5,X117) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X116),X117)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f1843,f1347])). 15.15/2.51 tff(f15697,plain,( 15.15/2.51 spl30_320 | spl30_321 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15693,f1345,f609,f15695,f15686])). 15.15/2.51 tff(f15693,plain,( 15.15/2.51 ( ! [X111 : map_int_int,X108 : $int,X109 : $int,X112 : $int,X110 : $int] : (min_elt1(sK8) != X108 | n1 != X109 | $less(X108,X109) | ~$less(sK5,X110) | ~partial_solution1(X110,X111) | ~$less(sK5,X112) | ~eq_prefix1(int,t2tb2(X111),t2tb2(sK13),X112)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15692,f312])). 15.15/2.51 tff(f15692,plain,( 15.15/2.51 ( ! [X111 : map_int_int,X108 : $int,X109 : $int,X112 : $int,X110 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X108 | n1 != X109 | $less(X108,X109) | ~$less(sK5,X110) | ~partial_solution1(X110,X111) | ~$less(sK5,X112) | ~eq_prefix1(int,t2tb2(X111),t2tb2(sK13),X112)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15552,f611])). 15.15/2.51 tff(f15552,plain,( 15.15/2.51 ( ! [X111 : map_int_int,X108 : $int,X109 : $int,X112 : $int,X110 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X108 | n1 != X109 | $less(X108,X109) | ~$less(sK5,X110) | $less(sK5,0) | ~partial_solution1(X110,X111) | ~$less(sK5,X112) | ~eq_prefix1(int,t2tb2(X111),t2tb2(sK13),X112)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f1842,f1347])). 15.15/2.51 tff(f15688,plain,( 15.15/2.51 spl30_320 | spl30_76 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15684,f1345,f609,f1729,f15686])). 15.15/2.51 tff(f15684,plain,( 15.15/2.51 ( ! [X101 : $int,X104 : $int,X102 : $int,X103 : map_int_int] : (min_elt1(sK8) != X101 | ~$less(X101,0) | ~$less(sK5,X102) | ~partial_solution1(X102,X103) | ~$less(sK5,X104) | ~eq_prefix1(int,t2tb2(X103),t2tb2(sK13),X104)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15683,f312])). 15.15/2.51 tff(f15683,plain,( 15.15/2.51 ( ! [X101 : $int,X104 : $int,X102 : $int,X103 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X101 | ~$less(X101,0) | ~$less(sK5,X102) | ~partial_solution1(X102,X103) | ~$less(sK5,X104) | ~eq_prefix1(int,t2tb2(X103),t2tb2(sK13),X104)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15550,f611])). 15.15/2.51 tff(f15550,plain,( 15.15/2.51 ( ! [X101 : $int,X104 : $int,X102 : $int,X103 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X101 | ~$less(X101,0) | ~$less(sK5,X102) | $less(sK5,0) | ~partial_solution1(X102,X103) | ~$less(sK5,X104) | ~eq_prefix1(int,t2tb2(X103),t2tb2(sK13),X104)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f1791,f1347])). 15.15/2.51 tff(f15682,plain,( 15.15/2.51 spl30_319 | spl30_76 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15678,f1345,f609,f1729,f15680])). 15.15/2.51 tff(f15678,plain,( 15.15/2.51 ( ! [X98 : $int,X99 : map_int_int,X97 : $int,X100 : $int] : (min_elt1(sK8) != X97 | ~$less(X97,0) | ~$less(sK5,X98) | ~partial_solution1(X98,X99) | ~$less(sK5,X100) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X99),X100)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15677,f312])). 15.15/2.51 tff(f15677,plain,( 15.15/2.51 ( ! [X98 : $int,X99 : map_int_int,X97 : $int,X100 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X97 | ~$less(X97,0) | ~$less(sK5,X98) | ~partial_solution1(X98,X99) | ~$less(sK5,X100) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X99),X100)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15549,f611])). 15.15/2.51 tff(f15549,plain,( 15.15/2.51 ( ! [X98 : $int,X99 : map_int_int,X97 : $int,X100 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X97 | ~$less(X97,0) | ~$less(sK5,X98) | $less(sK5,0) | ~partial_solution1(X98,X99) | ~$less(sK5,X100) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X99),X100)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f1790,f1347])). 15.15/2.51 tff(f15671,plain,( 15.15/2.51 spl30_318 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15546,f1345,f609,f489,f2154,f15669])). 15.15/2.51 tff(f15546,plain,( 15.15/2.51 ( ! [X94 : $int,X93 : map_int_int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X93),sK5) | eq_prefix1(int,t2tb2(X93),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X93))),n1) | ~partial_solution1(n1,X93) | ~$less(sK5,X94) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X93),X94)) ) | (~spl30_1 | spl30_21 | ~spl30_59)), 15.15/2.51 inference(superposition,[],[f2158,f1347])). 15.15/2.51 tff(f15667,plain,( 15.15/2.51 spl30_317 | ~spl30_99 | ~spl30_1 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15545,f1345,f609,f489,f2154,f15665])). 15.15/2.51 tff(f15545,plain,( 15.15/2.51 ( ! [X91 : map_int_int,X92 : $int] : (~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X91),sK5) | eq_prefix1(int,t2tb2(X91),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X91))),n1) | ~partial_solution1(n1,X91) | ~$less(sK5,X92) | ~eq_prefix1(int,t2tb2(X91),t2tb2(sK13),X92)) ) | (~spl30_1 | spl30_21 | ~spl30_59)), 15.15/2.51 inference(superposition,[],[f2159,f1347])). 15.15/2.51 tff(f15653,plain,( 15.15/2.51 spl30_102 | spl30_316 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15649,f1345,f609,f15651,f2202])). 15.15/2.51 tff(f15651,plain,( 15.15/2.51 spl30_316 <=> ! [X38 : $int,X37 : uni,X40 : $int,X35 : $int,X39 : map_int_int] : (min_elt1(sK8) != X35 | ~eq_prefix1(int,X37,t2tb2(X39),X40) | ~$less(sK5,X40) | ~$less(X35,X38) | lt_sol1(sK13,X39) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X39),sK5) | tb2t1(get(int,int,X37,t2tb1(sK5))) != X38)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_316])])). 15.15/2.51 tff(f15649,plain,( 15.15/2.51 ( ! [X40 : $int,X38 : $int,X39 : map_int_int,X36 : $int,X37 : uni,X35 : $int] : (min_elt1(sK8) != X35 | n1 != X36 | ~$less(sK5,X36) | tb2t1(get(int,int,X37,t2tb1(sK5))) != X38 | lt_sol1(sK13,X39) | ~$less(X35,X38) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X39),sK5) | ~$less(sK5,X40) | ~eq_prefix1(int,X37,t2tb2(X39),X40)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15648,f312])). 15.15/2.51 tff(f15648,plain,( 15.15/2.51 ( ! [X40 : $int,X38 : $int,X39 : map_int_int,X36 : $int,X37 : uni,X35 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X35 | n1 != X36 | ~$less(sK5,X36) | tb2t1(get(int,int,X37,t2tb1(sK5))) != X38 | lt_sol1(sK13,X39) | ~$less(X35,X38) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X39),sK5) | ~$less(sK5,X40) | ~eq_prefix1(int,X37,t2tb2(X39),X40)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15532,f611])). 15.15/2.51 tff(f15532,plain,( 15.15/2.51 ( ! [X40 : $int,X38 : $int,X39 : map_int_int,X36 : $int,X37 : uni,X35 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X35 | $less(sK5,0) | n1 != X36 | ~$less(sK5,X36) | tb2t1(get(int,int,X37,t2tb1(sK5))) != X38 | lt_sol1(sK13,X39) | ~$less(X35,X38) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X39),sK5) | ~$less(sK5,X40) | ~eq_prefix1(int,X37,t2tb2(X39),X40)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f2189,f1347])). 15.15/2.51 tff(f15647,plain,( 15.15/2.51 spl30_102 | spl30_315 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15643,f1345,f609,f15645,f2202])). 15.15/2.51 tff(f15645,plain,( 15.15/2.51 spl30_315 <=> ! [X31 : uni,X33 : map_int_int,X34 : $int,X29 : $int,X32 : $int] : (min_elt1(sK8) != X29 | ~eq_prefix1(int,t2tb2(X33),X31,X34) | ~$less(sK5,X34) | ~$less(X29,X32) | lt_sol1(sK13,X33) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X33),sK5) | tb2t1(get(int,int,X31,t2tb1(sK5))) != X32)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_315])])). 15.15/2.51 tff(f15643,plain,( 15.15/2.51 ( ! [X31 : uni,X29 : $int,X34 : $int,X32 : $int,X30 : $int,X33 : map_int_int] : (min_elt1(sK8) != X29 | n1 != X30 | ~$less(sK5,X30) | tb2t1(get(int,int,X31,t2tb1(sK5))) != X32 | lt_sol1(sK13,X33) | ~$less(X29,X32) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X33),sK5) | ~$less(sK5,X34) | ~eq_prefix1(int,t2tb2(X33),X31,X34)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15642,f312])). 15.15/2.51 tff(f15642,plain,( 15.15/2.51 ( ! [X31 : uni,X29 : $int,X34 : $int,X32 : $int,X30 : $int,X33 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X29 | n1 != X30 | ~$less(sK5,X30) | tb2t1(get(int,int,X31,t2tb1(sK5))) != X32 | lt_sol1(sK13,X33) | ~$less(X29,X32) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X33),sK5) | ~$less(sK5,X34) | ~eq_prefix1(int,t2tb2(X33),X31,X34)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15531,f611])). 15.15/2.51 tff(f15531,plain,( 15.15/2.51 ( ! [X31 : uni,X29 : $int,X34 : $int,X32 : $int,X30 : $int,X33 : map_int_int] : (tb2t1(t2tb1(min_elt1(sK8))) != X29 | $less(sK5,0) | n1 != X30 | ~$less(sK5,X30) | tb2t1(get(int,int,X31,t2tb1(sK5))) != X32 | lt_sol1(sK13,X33) | ~$less(X29,X32) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X33),sK5) | ~$less(sK5,X34) | ~eq_prefix1(int,t2tb2(X33),X31,X34)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f2188,f1347])). 15.15/2.51 tff(f15641,plain,( 15.15/2.51 spl30_102 | spl30_314 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15637,f1345,f609,f15639,f2202])). 15.15/2.51 tff(f15639,plain,( 15.15/2.51 spl30_314 <=> ! [X28 : map_int_int,X26 : $int] : (min_elt1(sK8) != X26 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X28),sK5) | ~$less(X26,tb2t1(get(int,int,t2tb2(X28),t2tb1(sK5)))) | lt_sol1(sK13,X28))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_314])])). 15.15/2.51 tff(f15637,plain,( 15.15/2.51 ( ! [X28 : map_int_int,X26 : $int,X27 : $int] : (min_elt1(sK8) != X26 | n1 != X27 | ~$less(sK5,X27) | lt_sol1(sK13,X28) | ~$less(X26,tb2t1(get(int,int,t2tb2(X28),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X28),sK5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15636,f312])). 15.15/2.51 tff(f15636,plain,( 15.15/2.51 ( ! [X28 : map_int_int,X26 : $int,X27 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X26 | n1 != X27 | ~$less(sK5,X27) | lt_sol1(sK13,X28) | ~$less(X26,tb2t1(get(int,int,t2tb2(X28),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X28),sK5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15530,f611])). 15.15/2.51 tff(f15530,plain,( 15.15/2.51 ( ! [X28 : map_int_int,X26 : $int,X27 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X26 | n1 != X27 | ~$less(sK5,X27) | $less(sK5,0) | lt_sol1(sK13,X28) | ~$less(X26,tb2t1(get(int,int,t2tb2(X28),t2tb1(sK5)))) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X28),sK5)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f2187,f1347])). 15.15/2.51 tff(f15635,plain,( 15.15/2.51 spl30_102 | spl30_313 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15631,f1345,f609,f15633,f2202])). 15.15/2.51 tff(f15633,plain,( 15.15/2.51 spl30_313 <=> ! [X22 : $int,X25 : $int,X24 : uni] : (min_elt1(sK8) != X22 | ~eq_prefix1(int,t2tb2(sK13),X24,sK5) | ~$less(X22,X25) | tb2t1(get(int,int,X24,t2tb1(sK5))) != X25 | lt_sol1(sK13,tb2t2(X24)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_313])])). 15.15/2.51 tff(f15631,plain,( 15.15/2.51 ( ! [X24 : uni,X22 : $int,X25 : $int,X23 : $int] : (min_elt1(sK8) != X22 | n1 != X23 | ~$less(sK5,X23) | tb2t1(get(int,int,X24,t2tb1(sK5))) != X25 | lt_sol1(sK13,tb2t2(X24)) | ~$less(X22,X25) | ~eq_prefix1(int,t2tb2(sK13),X24,sK5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15630,f312])). 15.15/2.51 tff(f15630,plain,( 15.15/2.51 ( ! [X24 : uni,X22 : $int,X25 : $int,X23 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X22 | n1 != X23 | ~$less(sK5,X23) | tb2t1(get(int,int,X24,t2tb1(sK5))) != X25 | lt_sol1(sK13,tb2t2(X24)) | ~$less(X22,X25) | ~eq_prefix1(int,t2tb2(sK13),X24,sK5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15529,f611])). 15.15/2.51 tff(f15529,plain,( 15.15/2.51 ( ! [X24 : uni,X22 : $int,X25 : $int,X23 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X22 | $less(sK5,0) | n1 != X23 | ~$less(sK5,X23) | tb2t1(get(int,int,X24,t2tb1(sK5))) != X25 | lt_sol1(sK13,tb2t2(X24)) | ~$less(X22,X25) | ~eq_prefix1(int,t2tb2(sK13),X24,sK5)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f2181,f1347])). 15.15/2.51 tff(f15629,plain,( 15.15/2.51 spl30_102 | spl30_103 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f15628,f1345,f609,f2205,f2202])). 15.15/2.51 tff(f2205,plain,( 15.15/2.51 spl30_103 <=> ! [X6 : map_int_int,X4 : $int,X7 : $int] : (min_elt1(sK8) != X4 | ~eq_prefix1(int,t2tb2(X6),t2tb2(sK13),sK5) | tb2t1(get(int,int,t2tb2(X6),t2tb1(sK5))) != X7 | ~$less(X7,X4) | lt_sol1(X6,sK13))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_103])])). 15.15/2.51 tff(f15628,plain,( 15.15/2.51 ( ! [X18 : $int,X19 : map_int_int,X17 : $int,X20 : $int] : (min_elt1(sK8) != X17 | n1 != X18 | ~$less(sK5,X18) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK5))) != X20 | lt_sol1(X19,sK13) | ~$less(X20,X17) | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f15627,f312])). 15.15/2.51 tff(f15627,plain,( 15.15/2.51 ( ! [X18 : $int,X19 : map_int_int,X17 : $int,X20 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X17 | n1 != X18 | ~$less(sK5,X18) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK5))) != X20 | lt_sol1(X19,sK13) | ~$less(X20,X17) | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f15527,f611])). 15.15/2.51 tff(f15527,plain,( 15.15/2.51 ( ! [X18 : $int,X19 : map_int_int,X17 : $int,X20 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X17 | $less(sK5,0) | n1 != X18 | ~$less(sK5,X18) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK5))) != X20 | lt_sol1(X19,sK13) | ~$less(X20,X17) | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK5)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f475,f1347])). 15.15/2.51 tff(f14311,plain,( 15.15/2.51 spl30_100 | spl30_312 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f14307,f657,f590,f14309,f2193])). 15.15/2.51 tff(f14309,plain,( 15.15/2.51 spl30_312 <=> ! [X3 : $int,X4 : map_int_int,X0 : $int,X5 : $int,X2 : uni] : (sK15 != X0 | ~eq_prefix1(int,X2,t2tb2(X4),X5) | ~$less(sK16,X5) | ~$less(X0,X3) | lt_sol1(sK13,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X4),sK16) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_312])])). 15.15/2.51 tff(f14307,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int,X4 : map_int_int,X5 : $int] : (sK15 != X0 | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,X4) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X4),sK16) | ~$less(sK16,X5) | ~eq_prefix1(int,X2,t2tb2(X4),X5)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f14306,f312])). 15.15/2.51 tff(f14306,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int,X4 : map_int_int,X5 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,X4) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X4),sK16) | ~$less(sK16,X5) | ~eq_prefix1(int,X2,t2tb2(X4),X5)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f14277,f592])). 15.15/2.51 tff(f14277,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int,X4 : map_int_int,X5 : $int] : (tb2t1(t2tb1(sK15)) != X0 | $less(sK16,0) | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,X4) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X4),sK16) | ~$less(sK16,X5) | ~eq_prefix1(int,X2,t2tb2(X4),X5)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f2189,f659])). 15.15/2.51 tff(f14262,plain,( 15.15/2.51 spl30_100 | spl30_311 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f14258,f657,f590,f14260,f2193])). 15.15/2.51 tff(f14260,plain,( 15.15/2.51 spl30_311 <=> ! [X3 : $int,X4 : map_int_int,X0 : $int,X5 : $int,X2 : uni] : (sK15 != X0 | ~eq_prefix1(int,t2tb2(X4),X2,X5) | ~$less(sK16,X5) | ~$less(X0,X3) | lt_sol1(sK13,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X4),sK16) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_311])])). 15.15/2.51 tff(f14258,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int,X4 : map_int_int,X5 : $int] : (sK15 != X0 | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,X4) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X4),sK16) | ~$less(sK16,X5) | ~eq_prefix1(int,t2tb2(X4),X2,X5)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f14257,f312])). 15.15/2.51 tff(f14257,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int,X4 : map_int_int,X5 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,X4) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X4),sK16) | ~$less(sK16,X5) | ~eq_prefix1(int,t2tb2(X4),X2,X5)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f14228,f592])). 15.15/2.51 tff(f14228,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int,X4 : map_int_int,X5 : $int] : (tb2t1(t2tb1(sK15)) != X0 | $less(sK16,0) | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,X4) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X4),sK16) | ~$less(sK16,X5) | ~eq_prefix1(int,t2tb2(X4),X2,X5)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f2188,f659])). 15.15/2.51 tff(f13142,plain,( 15.15/2.51 ~spl30_128 | spl30_137), 15.15/2.51 inference(avatar_split_clause,[],[f13141,f3676,f3443])). 15.15/2.51 tff(f13141,plain,( 15.15/2.51 ~infix_eqeq(int,t2tb(sK8),empty(int)) | spl30_137), 15.15/2.51 inference(forward_demodulation,[],[f13139,f3971])). 15.15/2.51 tff(f13139,plain,( 15.15/2.51 ( ! [X18 : uni] : (~infix_eqeq(int,t2tb(sK8),diff(int,X18,X18))) ) | spl30_137), 15.15/2.51 inference(resolution,[],[f11636,f3807])). 15.15/2.51 tff(f13140,plain,( 15.15/2.51 ~spl30_128 | spl30_137), 15.15/2.51 inference(avatar_split_clause,[],[f13132,f3676,f3443])). 15.15/2.51 tff(f13132,plain,( 15.15/2.51 ~infix_eqeq(int,t2tb(sK8),empty(int)) | spl30_137), 15.15/2.51 inference(resolution,[],[f11636,f905])). 15.15/2.51 tff(f13038,plain,( 15.15/2.51 ~spl30_310 | spl30_309), 15.15/2.51 inference(avatar_split_clause,[],[f13031,f12982,f13035])). 15.15/2.51 tff(f13035,plain,( 15.15/2.51 spl30_310 <=> t2tb(sK8) = empty(int)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_310])])). 15.15/2.51 tff(f12982,plain,( 15.15/2.51 spl30_309 <=> infix_eqeq(int,empty(int),t2tb(sK8))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_309])])). 15.15/2.51 tff(f13031,plain,( 15.15/2.51 t2tb(sK8) != empty(int) | spl30_309), 15.15/2.51 inference(constrained_resolution,[],[f12984,f1573])). 15.15/2.51 tff(f12984,plain,( 15.15/2.51 ~infix_eqeq(int,empty(int),t2tb(sK8)) | spl30_309), 15.15/2.51 inference(avatar_component_clause,[],[f12982])). 15.15/2.51 tff(f12987,plain,( 15.15/2.51 ~spl30_309 | spl30_137), 15.15/2.51 inference(avatar_split_clause,[],[f12986,f3676,f12982])). 15.15/2.51 tff(f12986,plain,( 15.15/2.51 ~infix_eqeq(int,empty(int),t2tb(sK8)) | spl30_137), 15.15/2.51 inference(forward_demodulation,[],[f12980,f3971])). 15.15/2.51 tff(f12980,plain,( 15.15/2.51 ( ! [X18 : uni] : (~infix_eqeq(int,diff(int,X18,X18),t2tb(sK8))) ) | spl30_137), 15.15/2.51 inference(resolution,[],[f11635,f3807])). 15.15/2.51 tff(f12985,plain,( 15.15/2.51 ~spl30_309 | spl30_137), 15.15/2.51 inference(avatar_split_clause,[],[f12973,f3676,f12982])). 15.15/2.51 tff(f12973,plain,( 15.15/2.51 ~infix_eqeq(int,empty(int),t2tb(sK8)) | spl30_137), 15.15/2.51 inference(resolution,[],[f11635,f905])). 15.15/2.51 tff(f12692,plain,( 15.15/2.51 spl30_297), 15.15/2.51 inference(avatar_split_clause,[],[f11387,f11389])). 15.15/2.51 tff(f11389,plain,( 15.15/2.51 spl30_297 <=> ! [X34 : uni,X36 : uni,X35 : uni] : (~is_empty(int,X34) | ~mem(int,X35,inter(int,X34,X36)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_297])])). 15.15/2.51 tff(f11387,plain,( 15.15/2.51 ( ! [X21 : uni,X19 : uni,X20 : uni] : (~is_empty(int,X19) | ~mem(int,X20,inter(int,X19,X21))) )), 15.15/2.51 inference(global_subsumption,[],[f11386])). 15.15/2.51 tff(f11386,plain,( 15.15/2.51 ( ! [X18 : uni,X16 : uni,X17 : uni] : (~is_empty(int,X16) | ~mem(int,X17,inter(int,X16,X18))) )), 15.15/2.51 inference(global_subsumption,[],[f11360])). 15.15/2.51 tff(f11360,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : uni,X1 : uni] : (~is_empty(int,X0) | ~mem(int,X1,inter(int,X0,X2))) )), 15.15/2.51 inference(resolution,[],[f4446,f1691])). 15.15/2.51 tff(f12614,plain,( 15.15/2.51 spl30_297), 15.15/2.51 inference(avatar_split_clause,[],[f11386,f11389])). 15.15/2.51 tff(f12613,plain,( 15.15/2.51 spl30_297), 15.15/2.51 inference(avatar_split_clause,[],[f11360,f11389])). 15.15/2.51 tff(f12482,plain,( 15.15/2.51 spl30_296), 15.15/2.51 inference(avatar_split_clause,[],[f11320,f11322])). 15.15/2.51 tff(f11322,plain,( 15.15/2.51 spl30_296 <=> ! [X34 : uni,X36 : uni,X35 : uni] : (~is_empty(int,X34) | ~mem(int,X35,inter(int,X36,X34)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_296])])). 15.15/2.51 tff(f11320,plain,( 15.15/2.51 ( ! [X21 : uni,X19 : uni,X20 : uni] : (~is_empty(int,X19) | ~mem(int,X20,inter(int,X21,X19))) )), 15.15/2.51 inference(global_subsumption,[],[f11319])). 15.15/2.51 tff(f11319,plain,( 15.15/2.51 ( ! [X18 : uni,X16 : uni,X17 : uni] : (~is_empty(int,X16) | ~mem(int,X17,inter(int,X18,X16))) )), 15.15/2.51 inference(global_subsumption,[],[f11293])). 15.15/2.51 tff(f11293,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : uni,X1 : uni] : (~is_empty(int,X0) | ~mem(int,X1,inter(int,X2,X0))) )), 15.15/2.51 inference(resolution,[],[f4276,f1691])). 15.15/2.51 tff(f12481,plain,( 15.15/2.51 spl30_296), 15.15/2.51 inference(avatar_split_clause,[],[f11319,f11322])). 15.15/2.51 tff(f12479,plain,( 15.15/2.51 spl30_296), 15.15/2.51 inference(avatar_split_clause,[],[f11293,f11322])). 15.15/2.51 tff(f12360,plain,( 15.15/2.51 ~spl30_307 | spl30_308 | spl30_20 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f12352,f1012,f601,f12358,f12354])). 15.15/2.51 tff(f12354,plain,( 15.15/2.51 spl30_307 <=> $less(sK3,sK9)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_307])])). 15.15/2.51 tff(f12358,plain,( 15.15/2.51 spl30_308 <=> ! [X10 : $int,X11 : $int,X13 : $int,X12 : uni] : (sK7 != $sum(X10,$uminus(X11)) | ~$less(sK9,X13) | ~partial_solution1(X13,tb2t2(X12)) | tb2t1(get(int,int,X12,t2tb1(sK3))) != X11 | tb2t1(get(int,int,X12,t2tb1(sK9))) != X10)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_308])])). 15.15/2.51 tff(f12352,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int,X12 : uni,X13 : $int] : (sK7 != $sum(X10,$uminus(X11)) | tb2t1(get(int,int,X12,t2tb1(sK9))) != X10 | tb2t1(get(int,int,X12,t2tb1(sK3))) != X11 | ~$less(sK3,sK9) | ~$less(sK9,X13) | ~partial_solution1(X13,tb2t2(X12))) ) | (spl30_20 | ~spl30_45)), 15.15/2.51 inference(subsumption_resolution,[],[f12350,f603])). 15.15/2.51 tff(f12350,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int,X12 : uni,X13 : $int] : (sK7 != $sum(X10,$uminus(X11)) | tb2t1(get(int,int,X12,t2tb1(sK9))) != X10 | tb2t1(get(int,int,X12,t2tb1(sK3))) != X11 | $less(sK3,0) | ~$less(sK3,sK9) | ~$less(sK9,X13) | ~partial_solution1(X13,tb2t2(X12))) ) | ~spl30_45), 15.15/2.51 inference(superposition,[],[f12341,f1014])). 15.15/2.51 tff(f12341,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int,X4 : $int,X5 : $int] : ($sum(X4,$uminus(X2)) != $sum(X3,$uminus(X1)) | tb2t1(get(int,int,X0,t2tb1(X3))) != X4 | tb2t1(get(int,int,X0,t2tb1(X1))) != X2 | $less(X1,0) | ~$less(X1,X3) | ~$less(X3,X5) | ~partial_solution1(X5,tb2t2(X0))) )), 15.15/2.51 inference(subsumption_resolution,[],[f2245,f2595])). 15.15/2.51 tff(f2245,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int,X4 : $int,X5 : $int] : (tb2t1(get(int,int,X0,t2tb1(X1))) != X2 | tb2t1(get(int,int,X0,t2tb1(X3))) != X4 | $sum(X4,$uminus(X2)) != $sum(X3,$uminus(X1)) | $less(X1,0) | ~$less(X1,X3) | ~$less(X3,X5) | $less(X3,0) | ~partial_solution1(X5,tb2t2(X0))) )), 15.15/2.51 inference(superposition,[],[f466,f313])). 15.15/2.51 tff(f12340,plain,( 15.15/2.51 spl30_305 | ~spl30_306 | spl30_303), 15.15/2.51 inference(avatar_split_clause,[],[f12332,f12325,f12337,f12334])). 15.15/2.51 tff(f12334,plain,( 15.15/2.51 spl30_305 <=> ! [X0 : $int] : (~$less(X0,0) | ~$less(sK9,X0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_305])])). 15.15/2.51 tff(f12332,plain,( 15.15/2.51 ( ! [X0 : $int] : (0 != sK3 | ~$less(X0,0) | ~$less(sK9,X0)) ) | spl30_303), 15.15/2.51 inference(constrained_resolution,[],[f12327,f2595])). 15.15/2.51 tff(f12331,plain,( 15.15/2.51 ~spl30_303 | spl30_192 | spl30_304 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f12317,f1012,f12329,f6986,f12325])). 15.15/2.51 tff(f12329,plain,( 15.15/2.51 spl30_304 <=> ! [X10 : $int,X11 : $int,X13 : $int,X12 : uni] : (sK7 != $sum(X10,$uminus(X11)) | ~$less(sK3,X13) | ~partial_solution1(X13,tb2t2(X12)) | tb2t1(get(int,int,X12,t2tb1(sK9))) != X11 | tb2t1(get(int,int,X12,t2tb1(sK3))) != X10)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_304])])). 15.15/2.51 tff(f12317,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int,X12 : uni,X13 : $int] : (sK7 != $sum(X10,$uminus(X11)) | tb2t1(get(int,int,X12,t2tb1(sK3))) != X10 | tb2t1(get(int,int,X12,t2tb1(sK9))) != X11 | $less(sK9,0) | ~$less(sK9,sK3) | ~$less(sK3,X13) | ~partial_solution1(X13,tb2t2(X12))) ) | ~spl30_45), 15.15/2.51 inference(superposition,[],[f12312,f1014])). 15.15/2.51 tff(f12312,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int,X4 : $int,X5 : $int] : ($sum(X1,$uminus(X3)) != $sum(X4,$uminus(X2)) | tb2t1(get(int,int,X0,t2tb1(X3))) != X4 | tb2t1(get(int,int,X0,t2tb1(X1))) != X2 | $less(X1,0) | ~$less(X1,X3) | ~$less(X3,X5) | ~partial_solution1(X5,tb2t2(X0))) )), 15.15/2.51 inference(subsumption_resolution,[],[f2226,f2595])). 15.15/2.51 tff(f2226,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int,X4 : $int,X5 : $int] : (tb2t1(get(int,int,X0,t2tb1(X1))) != X2 | tb2t1(get(int,int,X0,t2tb1(X3))) != X4 | $sum(X1,$uminus(X3)) != $sum(X4,$uminus(X2)) | $less(X1,0) | ~$less(X1,X3) | ~$less(X3,X5) | $less(X3,0) | ~partial_solution1(X5,tb2t2(X0))) )), 15.15/2.51 inference(superposition,[],[f465,f313])). 15.15/2.51 tff(f12314,plain,( 15.15/2.51 spl30_297 | ~spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4598,f4452,f11389])). 15.15/2.51 tff(f4598,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : uni,X1 : uni] : (~mem(int,X1,inter(int,X0,X2)) | ~is_empty(int,X0)) ) | ~spl30_147), 15.15/2.51 inference(superposition,[],[f4453,f3275])). 15.15/2.51 tff(f12259,plain,( 15.15/2.51 spl30_100 | spl30_302 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f12255,f657,f590,f12257,f2193])). 15.15/2.51 tff(f12257,plain,( 15.15/2.51 spl30_302 <=> ! [X2 : map_int_int,X0 : $int,X3 : $int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),sK16) | lt_sol1(sK13,X2) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | sK15 != X0 | ~$less(X0,X3))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_302])])). 15.15/2.51 tff(f12255,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),sK16) | ~$less(sK16,X1) | sK15 != X0 | n1 != X1 | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(sK13,X2) | ~$less(X0,X3)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f12254,f312])). 15.15/2.51 tff(f12254,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (~$less(sK16,X1) | sK15 != X0 | n1 != X1 | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(sK13,X2) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),tb2t1(t2tb1(sK16)))) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f12253,f312])). 15.15/2.51 tff(f12253,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | n1 != X1 | ~$less(tb2t1(t2tb1(sK16)),X1) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(sK13,X2) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),tb2t1(t2tb1(sK16)))) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f12252,f592])). 15.15/2.51 tff(f12252,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : ($less(sK16,0) | sK15 != X0 | n1 != X1 | ~$less(tb2t1(t2tb1(sK16)),X1) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(sK13,X2) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),tb2t1(t2tb1(sK16)))) ) | ~spl30_26), 15.15/2.51 inference(forward_demodulation,[],[f12251,f312])). 15.15/2.51 tff(f12251,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | $less(tb2t1(t2tb1(sK16)),0) | n1 != X1 | ~$less(tb2t1(t2tb1(sK16)),X1) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(sK13,X2) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),tb2t1(t2tb1(sK16)))) ) | ~spl30_26), 15.15/2.51 inference(forward_demodulation,[],[f12232,f312])). 15.15/2.51 tff(f12232,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | $less(tb2t1(t2tb1(sK16)),0) | n1 != X1 | ~$less(tb2t1(t2tb1(sK16)),X1) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(sK13,X2) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),tb2t1(t2tb1(sK16)))) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f2182,f659])). 15.15/2.51 tff(f12088,plain,( 15.15/2.51 spl30_296 | ~spl30_146), 15.15/2.51 inference(avatar_split_clause,[],[f4335,f4283,f11322])). 15.15/2.51 tff(f4335,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : uni,X1 : uni] : (~mem(int,X1,inter(int,X2,X0)) | ~is_empty(int,X0)) ) | ~spl30_146), 15.15/2.51 inference(superposition,[],[f4284,f3275])). 15.15/2.51 tff(f12038,plain,( 15.15/2.51 spl30_100 | spl30_301 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f12034,f657,f590,f12036,f2193])). 15.15/2.51 tff(f12036,plain,( 15.15/2.51 spl30_301 <=> ! [X2 : uni,X0 : $int,X3 : $int] : (sK15 != X0 | ~eq_prefix1(int,t2tb2(sK13),X2,sK16) | ~$less(X0,X3) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,tb2t2(X2)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_301])])). 15.15/2.51 tff(f12034,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,tb2t2(X2)) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),X2,sK16)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f12033,f312])). 15.15/2.51 tff(f12033,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,tb2t2(X2)) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),X2,sK16)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f12004,f592])). 15.15/2.51 tff(f12004,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | $less(sK16,0) | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,X2,t2tb1(sK16))) != X3 | lt_sol1(sK13,tb2t2(X2)) | ~$less(X0,X3) | ~eq_prefix1(int,t2tb2(sK13),X2,sK16)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f2181,f659])). 15.15/2.51 tff(f11645,plain,( 15.15/2.51 ~spl30_300 | ~spl30_6 | spl30_137), 15.15/2.51 inference(avatar_split_clause,[],[f11633,f3676,f514,f11642])). 15.15/2.51 tff(f11642,plain,( 15.15/2.51 spl30_300 <=> subset(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_300])])). 15.15/2.51 tff(f11633,plain,( 15.15/2.51 ~subset(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK2)) | (~spl30_6 | spl30_137)), 15.15/2.51 inference(resolution,[],[f3722,f516])). 15.15/2.51 tff(f11472,plain,( 15.15/2.51 ~spl30_299 | ~spl30_288 | ~spl30_3 | spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f11458,f6990,f499,f10788,f11469])). 15.15/2.51 tff(f11469,plain,( 15.15/2.51 spl30_299 <=> sK9 = sK15), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_299])])). 15.15/2.51 tff(f10788,plain,( 15.15/2.51 spl30_288 <=> sK0 = sK1), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_288])])). 15.15/2.51 tff(f11458,plain,( 15.15/2.51 sK0 != sK1 | sK9 != sK15 | (~spl30_3 | spl30_193)), 15.15/2.51 inference(constrained_resolution,[],[f11451,f501])). 15.15/2.51 tff(f11451,plain,( 15.15/2.51 ( ! [X10 : uni] : (~mem(int,t2tb1(sK9),remove(int,X10,t2tb(sK1)))) ) | spl30_193), 15.15/2.51 inference(resolution,[],[f7516,f371])). 15.15/2.51 tff(f11435,plain,( 15.15/2.51 spl30_100 | spl30_298 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f11431,f657,f590,f11433,f2193])). 15.15/2.51 tff(f11433,plain,( 15.15/2.51 spl30_298 <=> ! [X2 : map_int_int,X0 : $int] : (sK15 != X0 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),sK16) | ~$less(X0,tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16)))) | lt_sol1(sK13,X2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_298])])). 15.15/2.51 tff(f11431,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X0 : $int,X1 : $int] : (sK15 != X0 | n1 != X1 | ~$less(sK16,X1) | lt_sol1(sK13,X2) | ~$less(X0,tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),sK16)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f11430,f312])). 15.15/2.51 tff(f11430,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | ~$less(sK16,X1) | lt_sol1(sK13,X2) | ~$less(X0,tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),sK16)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f11401,f592])). 15.15/2.51 tff(f11401,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | ~$less(sK16,X1) | $less(sK16,0) | lt_sol1(sK13,X2) | ~$less(X0,tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16)))) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),sK16)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f2187,f659])). 15.15/2.51 tff(f11398,plain,( 15.15/2.51 spl30_297), 15.15/2.51 inference(avatar_split_clause,[],[f11397,f11389])). 15.15/2.51 tff(f11397,plain,( 15.15/2.51 ( ! [X51 : uni,X52 : uni,X53 : uni] : (~is_empty(int,X51) | ~mem(int,X52,inter(int,X51,X53))) )), 15.15/2.51 inference(subsumption_resolution,[],[f11375,f613])). 15.15/2.51 tff(f11375,plain,( 15.15/2.51 ( ! [X51 : uni,X52 : uni,X53 : uni] : (~is_empty(int,X51) | ~mem(int,X52,inter(int,X51,X53)) | ~sort1(int,X52)) )), 15.15/2.51 inference(resolution,[],[f4446,f1070])). 15.15/2.51 tff(f11392,plain,( 15.15/2.51 spl30_297), 15.15/2.51 inference(avatar_split_clause,[],[f11372,f11389])). 15.15/2.51 tff(f11372,plain,( 15.15/2.51 ( ! [X40 : uni,X38 : uni,X39 : uni] : (~is_empty(int,X38) | ~mem(int,X39,inter(int,X38,X40))) )), 15.15/2.51 inference(resolution,[],[f4446,f1069])). 15.15/2.51 tff(f11391,plain,( 15.15/2.51 spl30_145 | spl30_297), 15.15/2.51 inference(avatar_split_clause,[],[f11371,f11389,f4280])). 15.15/2.51 tff(f11371,plain,( 15.15/2.51 ( ! [X36 : uni,X37 : uni,X34 : uni,X35 : uni] : (~is_empty(int,X34) | ~mem(int,X35,inter(int,X34,X36)) | ~is_empty(int,X37)) )), 15.15/2.51 inference(resolution,[],[f4446,f1068])). 15.15/2.51 tff(f11331,plain,( 15.15/2.51 spl30_296), 15.15/2.51 inference(avatar_split_clause,[],[f11330,f11322])). 15.15/2.51 tff(f11330,plain,( 15.15/2.51 ( ! [X51 : uni,X52 : uni,X53 : uni] : (~is_empty(int,X51) | ~mem(int,X52,inter(int,X53,X51))) )), 15.15/2.51 inference(subsumption_resolution,[],[f11308,f613])). 15.15/2.51 tff(f11308,plain,( 15.15/2.51 ( ! [X51 : uni,X52 : uni,X53 : uni] : (~is_empty(int,X51) | ~mem(int,X52,inter(int,X53,X51)) | ~sort1(int,X52)) )), 15.15/2.51 inference(resolution,[],[f4276,f1070])). 15.15/2.51 tff(f11325,plain,( 15.15/2.51 spl30_296), 15.15/2.51 inference(avatar_split_clause,[],[f11305,f11322])). 15.15/2.51 tff(f11305,plain,( 15.15/2.51 ( ! [X40 : uni,X38 : uni,X39 : uni] : (~is_empty(int,X38) | ~mem(int,X39,inter(int,X40,X38))) )), 15.15/2.51 inference(resolution,[],[f4276,f1069])). 15.15/2.51 tff(f11324,plain,( 15.15/2.51 spl30_145 | spl30_296), 15.15/2.51 inference(avatar_split_clause,[],[f11304,f11322,f4280])). 15.15/2.51 tff(f11304,plain,( 15.15/2.51 ( ! [X36 : uni,X37 : uni,X34 : uni,X35 : uni] : (~is_empty(int,X34) | ~mem(int,X35,inter(int,X36,X34)) | ~is_empty(int,X37)) )), 15.15/2.51 inference(resolution,[],[f4276,f1068])). 15.15/2.51 tff(f11118,plain,( 15.15/2.51 ~spl30_295 | ~spl30_294 | ~spl30_290), 15.15/2.51 inference(avatar_split_clause,[],[f11117,f10891,f11105,f11109])). 15.15/2.51 tff(f11109,plain,( 15.15/2.51 spl30_295 <=> $less(sK16,sK24(sK13,sK6))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_295])])). 15.15/2.51 tff(f11105,plain,( 15.15/2.51 spl30_294 <=> lt_sol1(sK13,sK6)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_294])])). 15.15/2.51 tff(f11117,plain,( 15.15/2.51 ~lt_sol1(sK13,sK6) | ~$less(sK16,sK24(sK13,sK6)) | ~spl30_290), 15.15/2.51 inference(forward_demodulation,[],[f11116,f310])). 15.15/2.51 tff(f11116,plain,( 15.15/2.51 ~$less(sK16,sK24(sK13,sK6)) | ~lt_sol1(sK13,tb2t2(t2tb2(sK6))) | ~spl30_290), 15.15/2.51 inference(forward_demodulation,[],[f11099,f310])). 15.15/2.51 tff(f11099,plain,( 15.15/2.51 ~$less(sK16,sK24(sK13,tb2t2(t2tb2(sK6)))) | ~lt_sol1(sK13,tb2t2(t2tb2(sK6))) | ~spl30_290), 15.15/2.51 inference(resolution,[],[f10892,f1009])). 15.15/2.51 tff(f10892,plain,( 15.15/2.51 ( ! [X4 : $int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X4) | ~$less(sK16,X4)) ) | ~spl30_290), 15.15/2.51 inference(avatar_component_clause,[],[f10891])). 15.15/2.51 tff(f11115,plain,( 15.15/2.51 ~spl30_295 | ~spl30_294 | ~spl30_290), 15.15/2.51 inference(avatar_split_clause,[],[f11114,f10891,f11105,f11109])). 15.15/2.51 tff(f11114,plain,( 15.15/2.51 ~lt_sol1(sK13,sK6) | ~$less(sK16,sK24(sK13,sK6)) | ~spl30_290), 15.15/2.51 inference(forward_demodulation,[],[f11113,f310])). 15.15/2.51 tff(f11113,plain,( 15.15/2.51 ~$less(sK16,sK24(sK13,sK6)) | ~lt_sol1(tb2t2(t2tb2(sK13)),sK6) | ~spl30_290), 15.15/2.51 inference(forward_demodulation,[],[f11098,f310])). 15.15/2.51 tff(f11098,plain,( 15.15/2.51 ~$less(sK16,sK24(tb2t2(t2tb2(sK13)),sK6)) | ~lt_sol1(tb2t2(t2tb2(sK13)),sK6) | ~spl30_290), 15.15/2.51 inference(resolution,[],[f10892,f1008])). 15.15/2.51 tff(f11112,plain,( 15.15/2.51 ~spl30_294 | ~spl30_295 | ~spl30_290), 15.15/2.51 inference(avatar_split_clause,[],[f11097,f10891,f11109,f11105])). 15.15/2.51 tff(f11097,plain,( 15.15/2.51 ~$less(sK16,sK24(sK13,sK6)) | ~lt_sol1(sK13,sK6) | ~spl30_290), 15.15/2.51 inference(resolution,[],[f10892,f362])). 15.15/2.51 tff(f11031,plain,( 15.15/2.51 spl30_290 | spl30_88 | spl30_291 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f11030,f657,f590,f10951,f1967,f10891])). 15.15/2.51 tff(f11030,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (sK15 != X0 | sK5 != X1 | $sum($sum(X2,X1),$uminus(sK16)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK2)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f11029,f312])). 15.15/2.51 tff(f11029,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,X1),$uminus(sK16)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK2)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f10997,f592])). 15.15/2.51 tff(f10997,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,X1),$uminus(sK16)) != X0 | sK5 != X3 | ~$less(sK16,X3) | $less(sK16,0) | mem(int,t2tb1(X2),t2tb(sK2)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X4)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1991,f659])). 15.15/2.51 tff(f10995,plain,( 15.15/2.51 ~spl30_293 | ~spl30_292 | ~spl30_289), 15.15/2.51 inference(avatar_split_clause,[],[f10994,f10830,f10982,f10986])). 15.15/2.51 tff(f10986,plain,( 15.15/2.51 spl30_293 <=> $less(sK16,sK24(sK6,sK13))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_293])])). 15.15/2.51 tff(f10982,plain,( 15.15/2.51 spl30_292 <=> lt_sol1(sK6,sK13)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_292])])). 15.15/2.51 tff(f10994,plain,( 15.15/2.51 ~lt_sol1(sK6,sK13) | ~$less(sK16,sK24(sK6,sK13)) | ~spl30_289), 15.15/2.51 inference(forward_demodulation,[],[f10993,f310])). 15.15/2.51 tff(f10993,plain,( 15.15/2.51 ~$less(sK16,sK24(sK6,sK13)) | ~lt_sol1(sK6,tb2t2(t2tb2(sK13))) | ~spl30_289), 15.15/2.51 inference(forward_demodulation,[],[f10976,f310])). 15.15/2.51 tff(f10976,plain,( 15.15/2.51 ~$less(sK16,sK24(sK6,tb2t2(t2tb2(sK13)))) | ~lt_sol1(sK6,tb2t2(t2tb2(sK13))) | ~spl30_289), 15.15/2.51 inference(resolution,[],[f10831,f1009])). 15.15/2.51 tff(f10831,plain,( 15.15/2.51 ( ! [X4 : $int] : (~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X4) | ~$less(sK16,X4)) ) | ~spl30_289), 15.15/2.51 inference(avatar_component_clause,[],[f10830])). 15.15/2.51 tff(f10992,plain,( 15.15/2.51 ~spl30_293 | ~spl30_292 | ~spl30_289), 15.15/2.51 inference(avatar_split_clause,[],[f10991,f10830,f10982,f10986])). 15.15/2.51 tff(f10991,plain,( 15.15/2.51 ~lt_sol1(sK6,sK13) | ~$less(sK16,sK24(sK6,sK13)) | ~spl30_289), 15.15/2.51 inference(forward_demodulation,[],[f10990,f310])). 15.15/2.51 tff(f10990,plain,( 15.15/2.51 ~$less(sK16,sK24(sK6,sK13)) | ~lt_sol1(tb2t2(t2tb2(sK6)),sK13) | ~spl30_289), 15.15/2.51 inference(forward_demodulation,[],[f10975,f310])). 15.15/2.51 tff(f10975,plain,( 15.15/2.51 ~$less(sK16,sK24(tb2t2(t2tb2(sK6)),sK13)) | ~lt_sol1(tb2t2(t2tb2(sK6)),sK13) | ~spl30_289), 15.15/2.51 inference(resolution,[],[f10831,f1008])). 15.15/2.51 tff(f10989,plain,( 15.15/2.51 ~spl30_292 | ~spl30_293 | ~spl30_289), 15.15/2.51 inference(avatar_split_clause,[],[f10974,f10830,f10986,f10982])). 15.15/2.51 tff(f10974,plain,( 15.15/2.51 ~$less(sK16,sK24(sK6,sK13)) | ~lt_sol1(sK6,sK13) | ~spl30_289), 15.15/2.51 inference(resolution,[],[f10831,f362])). 15.15/2.51 tff(f10953,plain,( 15.15/2.51 spl30_289 | spl30_88 | spl30_291 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f10949,f657,f590,f10951,f1967,f10830])). 15.15/2.51 tff(f10949,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (sK15 != X0 | sK5 != X1 | $sum($sum(X2,X1),$uminus(sK16)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK2)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f10948,f312])). 15.15/2.51 tff(f10948,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,X1),$uminus(sK16)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK2)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f10916,f592])). 15.15/2.51 tff(f10916,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,X1),$uminus(sK16)) != X0 | sK5 != X3 | ~$less(sK16,X3) | $less(sK16,0) | mem(int,t2tb1(X2),t2tb(sK2)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X4)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1990,f659])). 15.15/2.51 tff(f10893,plain,( 15.15/2.51 spl30_290 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f10889,f657,f590,f1970,f1967,f10891])). 15.15/2.51 tff(f10889,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (sK15 != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f10888,f312])). 15.15/2.51 tff(f10888,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f10856,f592])). 15.15/2.51 tff(f10856,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | $less(sK16,0) | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X4)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1959,f659])). 15.15/2.51 tff(f10832,plain,( 15.15/2.51 spl30_289 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f10828,f657,f590,f1970,f1967,f10830])). 15.15/2.51 tff(f10828,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (sK15 != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f10827,f312])). 15.15/2.51 tff(f10827,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f10795,f592])). 15.15/2.51 tff(f10795,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | $less(sK16,0) | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X4)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1958,f659])). 15.15/2.51 tff(f10791,plain,( 15.15/2.51 ~spl30_287 | ~spl30_288 | ~spl30_3 | spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f10773,f6966,f499,f10788,f10784])). 15.15/2.51 tff(f10784,plain,( 15.15/2.51 spl30_287 <=> sK5 = sK15), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_287])])). 15.15/2.51 tff(f10773,plain,( 15.15/2.51 sK0 != sK1 | sK5 != sK15 | (~spl30_3 | spl30_187)), 15.15/2.51 inference(constrained_resolution,[],[f10765,f501])). 15.15/2.51 tff(f10765,plain,( 15.15/2.51 ( ! [X6 : uni] : (~mem(int,t2tb1(sK5),remove(int,X6,t2tb(sK1)))) ) | spl30_187), 15.15/2.51 inference(resolution,[],[f7143,f371])). 15.15/2.51 tff(f10268,plain,( 15.15/2.51 spl30_122 | spl30_183 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_179), 15.15/2.51 inference(avatar_split_clause,[],[f10266,f5860,f4452,f4283,f784,f6386,f2891])). 15.15/2.51 tff(f2891,plain,( 15.15/2.51 spl30_122 <=> ! [X3 : $int] : ~$less(X3,0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_122])])). 15.15/2.51 tff(f6386,plain,( 15.15/2.51 spl30_183 <=> ! [X9 : ty,X8 : uni] : (empty(int) != X8 | int != X9 | 0 = cardinal1(X9,X8))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_183])])). 15.15/2.51 tff(f10266,plain,( 15.15/2.51 ( ! [X8 : uni,X9 : ty,X7 : $int] : (empty(int) != X8 | int != X9 | 0 = cardinal1(X9,X8) | ~$less(X7,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_179)), 15.15/2.51 inference(duplicate_literal_removal,[],[f10226])). 15.15/2.51 tff(f10226,plain,( 15.15/2.51 ( ! [X8 : uni,X9 : ty,X7 : $int] : (empty(int) != X8 | int != X9 | 0 = cardinal1(X9,X8) | ~$less(X7,0) | ~$less(X7,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_179)), 15.15/2.51 inference(superposition,[],[f455,f6347])). 15.15/2.51 tff(f6347,plain,( 15.15/2.51 ( ! [X7 : $int] : (empty(int) = t2tb(below1(X7)) | ~$less(X7,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_179)), 15.15/2.51 inference(superposition,[],[f5862,f5618])). 15.15/2.51 tff(f9636,plain,( 15.15/2.51 spl30_274 | spl30_285 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f9635,f657,f590,f9570,f7782])). 15.15/2.51 tff(f7782,plain,( 15.15/2.51 spl30_274 <=> ! [X2 : map_int_int,X1 : $int,X3 : $int] : (~$less(sK16,X1) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),X3) | ~$less(sK16,X3) | ~partial_solution1(X1,X2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_274])])). 15.15/2.51 tff(f9570,plain,( 15.15/2.51 spl30_285 <=> ! [X0 : $int,X1 : $int] : (sK15 != X0 | $less(X0,X1) | n1 != X1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_285])])). 15.15/2.51 tff(f9635,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : map_int_int,X0 : $int,X1 : $int,X4 : $int] : (sK15 != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | ~partial_solution1(X2,X3) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X3),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f9634,f312])). 15.15/2.51 tff(f9634,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : map_int_int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | ~partial_solution1(X2,X3) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X3),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f9602,f592])). 15.15/2.51 tff(f9602,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : map_int_int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | $less(sK16,0) | ~partial_solution1(X2,X3) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X3),X4)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1843,f659])). 15.15/2.51 tff(f9598,plain,( 15.15/2.51 spl30_73 | spl30_285 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f9597,f657,f590,f9570,f1717])). 15.15/2.51 tff(f9597,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | ~partial_solution1(X2,sK13)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f9596,f312])). 15.15/2.51 tff(f9596,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | ~partial_solution1(X2,sK13)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f1837,f592])). 15.15/2.51 tff(f1837,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | $less(sK16,0) | ~partial_solution1(X2,sK13)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f467,f659])). 15.15/2.51 tff(f9595,plain,( 15.15/2.51 spl30_73 | spl30_286 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f9594,f657,f590,f9584,f1717])). 15.15/2.51 tff(f9584,plain,( 15.15/2.51 spl30_286 <=> ! [X0 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | ~$less(X0,sK16) | $less(X0,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_286])])). 15.15/2.51 tff(f9594,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1) | ~partial_solution1(X1,sK13)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f9593,f312])). 15.15/2.51 tff(f9593,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1) | ~partial_solution1(X1,sK13)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f2040,f592])). 15.15/2.51 tff(f2040,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1) | $less(sK16,0) | ~partial_solution1(X1,sK13)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f340,f659])). 15.15/2.51 tff(f9590,plain,( 15.15/2.51 spl30_285 | spl30_73 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f6483,f657,f590,f1717,f9570])). 15.15/2.51 tff(f6483,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~partial_solution1(X2,sK13) | sK15 != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f6482,f310])). 15.15/2.51 tff(f6482,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | ~partial_solution1(X2,tb2t2(t2tb2(sK13)))) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f6481,f312])). 15.15/2.51 tff(f6481,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | ~partial_solution1(X2,tb2t2(t2tb2(sK13)))) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f6468,f592])). 15.15/2.51 tff(f6468,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | $less(sK16,0) | ~partial_solution1(X2,tb2t2(t2tb2(sK13)))) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1835,f659])). 15.15/2.51 tff(f9589,plain,( 15.15/2.51 spl30_285 | spl30_73 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f9588,f657,f590,f1717,f9570])). 15.15/2.51 tff(f9588,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(sK16,X2) | sK15 != X0 | n1 != X1 | $less(X0,X1) | ~partial_solution1(X2,sK13)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f9587,f592])). 15.15/2.51 tff(f9587,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(sK16,0) | ~$less(sK16,X2) | sK15 != X0 | n1 != X1 | $less(X0,X1) | ~partial_solution1(X2,sK13)) ) | ~spl30_26), 15.15/2.51 inference(forward_demodulation,[],[f6513,f312])). 15.15/2.51 tff(f6513,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(sK16,X2) | sK15 != X0 | n1 != X1 | $less(X0,X1) | $less(tb2t1(t2tb1(sK16)),0) | ~partial_solution1(X2,sK13)) ) | ~spl30_26), 15.15/2.51 inference(forward_demodulation,[],[f6512,f312])). 15.15/2.51 tff(f6512,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | n1 != X1 | $less(X0,X1) | ~$less(tb2t1(t2tb1(sK16)),X2) | $less(tb2t1(t2tb1(sK16)),0) | ~partial_solution1(X2,sK13)) ) | ~spl30_26), 15.15/2.51 inference(forward_demodulation,[],[f6502,f312])). 15.15/2.51 tff(f6502,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(tb2t1(t2tb1(sK16)),X2) | $less(tb2t1(t2tb1(sK16)),0) | ~partial_solution1(X2,sK13)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1836,f659])). 15.15/2.51 tff(f9586,plain,( 15.15/2.51 spl30_286 | spl30_73 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f7866,f657,f1717,f9584])). 15.15/2.51 tff(f7866,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (~partial_solution1(X1,sK13) | sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1)) ) | ~spl30_26), 15.15/2.51 inference(forward_demodulation,[],[f7865,f310])). 15.15/2.51 tff(f7865,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1) | ~partial_solution1(X1,tb2t2(t2tb2(sK13)))) ) | ~spl30_26), 15.15/2.51 inference(forward_demodulation,[],[f7842,f312])). 15.15/2.51 tff(f7842,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16) | ~$less(sK16,X1) | ~partial_solution1(X1,tb2t2(t2tb2(sK13)))) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f7834,f659])). 15.15/2.51 tff(f9572,plain,( 15.15/2.51 spl30_284 | spl30_285 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f9565,f657,f590,f9570,f9567])). 15.15/2.51 tff(f9567,plain,( 15.15/2.51 spl30_284 <=> ! [X2 : $int,X3 : map_int_int,X4 : $int] : (~$less(sK16,X2) | ~eq_prefix1(int,t2tb2(X3),t2tb2(sK13),X4) | ~$less(sK16,X4) | ~partial_solution1(X2,X3))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_284])])). 15.15/2.51 tff(f9565,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : map_int_int,X0 : $int,X1 : $int,X4 : $int] : (sK15 != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | ~partial_solution1(X2,X3) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(X3),t2tb2(sK13),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f9564,f312])). 15.15/2.51 tff(f9564,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : map_int_int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | ~partial_solution1(X2,X3) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(X3),t2tb2(sK13),X4)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f9532,f592])). 15.15/2.51 tff(f9532,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : map_int_int,X0 : $int,X1 : $int,X4 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | $less(X0,X1) | ~$less(sK16,X2) | $less(sK16,0) | ~partial_solution1(X2,X3) | ~$less(sK16,X4) | ~eq_prefix1(int,t2tb2(X3),t2tb2(sK13),X4)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1842,f659])). 15.15/2.51 tff(f7970,plain,( 15.15/2.51 spl30_209 | spl30_283 | ~spl30_30), 15.15/2.51 inference(avatar_split_clause,[],[f7939,f697,f7968,f7080])). 15.15/2.51 tff(f7968,plain,( 15.15/2.51 spl30_283 <=> ! [X12 : $int,X11 : $int,X10 : uni] : (sK14 != X11 | 1 != $uminus(tb2t1(X10)) | $less(tb2t1(X10),0) | ~$less(tb2t1(X10),X12) | sK5 != X12 | tb2t1(get(int,int,t2tb2(sK6),X10)) != X11)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_283])])). 15.15/2.51 tff(f7939,plain,( 15.15/2.51 ( ! [X10 : uni,X11 : $int,X6 : $int,X5 : $int,X12 : $int] : (sK14 != X11 | sK5 != X6 | tb2t1(get(int,int,t2tb2(sK6),X10)) != X11 | sK5 != X12 | ~$less(tb2t1(X10),X12) | $less(tb2t1(X10),0) | mem(int,t2tb1(X5),t2tb(sK2)) | $less(X5,0) | sK5 != $sum(X5,X6) | 1 != $uminus(tb2t1(X10))) ) | ~spl30_30), 15.15/2.51 inference(constrained_superposition,[],[f1984,f699])). 15.15/2.51 tff(f7966,plain,( 15.15/2.51 spl30_209 | spl30_282 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f7938,f1847,f7964,f7080])). 15.15/2.51 tff(f7964,plain,( 15.15/2.51 spl30_282 <=> ! [X9 : $int,X8 : $int,X7 : uni] : (n1 != X8 | cardinal1(int,t2tb(sK0)) != $uminus(tb2t1(X7)) | $less(tb2t1(X7),0) | ~$less(tb2t1(X7),X9) | sK5 != X9 | tb2t1(get(int,int,t2tb2(sK6),X7)) != X8)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_282])])). 15.15/2.51 tff(f7938,plain,( 15.15/2.51 ( ! [X8 : $int,X6 : $int,X9 : $int,X7 : uni,X5 : $int] : (n1 != X8 | sK5 != X6 | tb2t1(get(int,int,t2tb2(sK6),X7)) != X8 | sK5 != X9 | ~$less(tb2t1(X7),X9) | $less(tb2t1(X7),0) | mem(int,t2tb1(X5),t2tb(sK2)) | $less(X5,0) | sK5 != $sum(X5,X6) | cardinal1(int,t2tb(sK0)) != $uminus(tb2t1(X7))) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f1984,f1849])). 15.15/2.51 tff(f7962,plain,( 15.15/2.51 spl30_192 | spl30_279 | ~spl30_280 | spl30_281 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f7934,f1012,f7960,f7956,f7952,f6986])). 15.15/2.51 tff(f7952,plain,( 15.15/2.51 spl30_279 <=> mem(int,t2tb1(sK9),t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_279])])). 15.15/2.51 tff(f7956,plain,( 15.15/2.51 spl30_280 <=> sK5 = $uminus(sK3)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_280])])). 15.15/2.51 tff(f7960,plain,( 15.15/2.51 spl30_281 <=> ! [X6 : uni,X7 : $int,X8 : $int] : ($sum(sK7,$uminus(tb2t1(X6))) != X7 | $less(tb2t1(X6),0) | ~$less(tb2t1(X6),X8) | sK5 != X8 | tb2t1(get(int,int,t2tb2(sK6),X6)) != X7)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_281])])). 15.15/2.51 tff(f7934,plain,( 15.15/2.51 ( ! [X8 : $int,X6 : uni,X7 : $int] : ($sum(sK7,$uminus(tb2t1(X6))) != X7 | sK5 != $uminus(sK3) | tb2t1(get(int,int,t2tb2(sK6),X6)) != X7 | sK5 != X8 | ~$less(tb2t1(X6),X8) | $less(tb2t1(X6),0) | mem(int,t2tb1(sK9),t2tb(sK2)) | $less(sK9,0)) ) | ~spl30_45), 15.15/2.51 inference(superposition,[],[f1984,f1014])). 15.15/2.51 tff(f7950,plain,( 15.15/2.51 spl30_203 | ~spl30_277 | spl30_278 | spl30_21 | ~spl30_30), 15.15/2.51 inference(avatar_split_clause,[],[f7942,f697,f609,f7948,f7944,f7056])). 15.15/2.51 tff(f7056,plain,( 15.15/2.51 spl30_203 <=> mem(int,t2tb1(sK5),t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_203])])). 15.15/2.51 tff(f7944,plain,( 15.15/2.51 spl30_277 <=> 1 = sK5), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_277])])). 15.15/2.51 tff(f7948,plain,( 15.15/2.51 spl30_278 <=> ! [X2 : $int,X0 : uni,X1 : $int] : ($sum(sK14,$uminus(tb2t1(X0))) != X1 | $less(tb2t1(X0),0) | ~$less(tb2t1(X0),X2) | sK5 != X2 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_278])])). 15.15/2.51 tff(f7942,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : uni,X1 : $int] : ($sum(sK14,$uminus(tb2t1(X0))) != X1 | 1 != sK5 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1 | sK5 != X2 | ~$less(tb2t1(X0),X2) | $less(tb2t1(X0),0) | mem(int,t2tb1(sK5),t2tb(sK2))) ) | (spl30_21 | ~spl30_30)), 15.15/2.51 inference(subsumption_resolution,[],[f7932,f611])). 15.15/2.51 tff(f7932,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : uni,X1 : $int] : ($sum(sK14,$uminus(tb2t1(X0))) != X1 | 1 != sK5 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1 | sK5 != X2 | ~$less(tb2t1(X0),X2) | $less(tb2t1(X0),0) | mem(int,t2tb1(sK5),t2tb(sK2)) | $less(sK5,0)) ) | ~spl30_30), 15.15/2.51 inference(superposition,[],[f1984,f699])). 15.15/2.51 tff(f7916,plain,( 15.15/2.51 spl30_199 | spl30_276 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f7902,f1847,f7914,f7013])). 15.15/2.51 tff(f7013,plain,( 15.15/2.51 spl30_199 <=> ! [X5 : $int] : (sK5 != X5 | $uminus(X5) != cardinal1(int,t2tb(sK0)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_199])])). 15.15/2.51 tff(f7914,plain,( 15.15/2.51 spl30_276 <=> ! [X4 : $int,X7 : $int,X5 : uni,X8 : $int] : (n1 != X7 | mem(int,t2tb1(X4),t2tb(sK1)) | sK5 != $sum(X4,tb2t1(X5)) | $less(X4,0) | ~$less(tb2t1(X5),X8) | sK5 != X8 | $less(tb2t1(X5),0) | tb2t1(get(int,int,t2tb2(sK6),X5)) != X7)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_276])])). 15.15/2.51 tff(f7902,plain,( 15.15/2.51 ( ! [X8 : $int,X6 : $int,X7 : $int,X4 : $int,X5 : uni] : (n1 != X7 | sK5 != X6 | tb2t1(get(int,int,t2tb2(sK6),X5)) != X7 | $less(tb2t1(X5),0) | sK5 != X8 | ~$less(tb2t1(X5),X8) | mem(int,t2tb1(X4),t2tb(sK1)) | $less(X4,0) | sK5 != $sum(X4,tb2t1(X5)) | cardinal1(int,t2tb(sK0)) != $uminus(X6)) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f1952,f1849])). 15.15/2.51 tff(f1952,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : uni,X1 : $int,X4 : $int] : ($sum($sum(X3,tb2t1(X0)),$uminus(X2)) != X1 | sK5 != X2 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1 | $less(tb2t1(X0),0) | sK5 != X4 | ~$less(tb2t1(X0),X4) | mem(int,t2tb1(X3),t2tb(sK1)) | $less(X3,0)) )), 15.15/2.51 inference(superposition,[],[f446,f315])). 15.15/2.51 tff(f7912,plain,( 15.15/2.51 spl30_192 | spl30_275 | ~spl30_45 | spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7908,f6990,f1012,f7910,f6986])). 15.15/2.51 tff(f7910,plain,( 15.15/2.51 spl30_275 <=> ! [X10 : $int,X11 : $int,X9 : $int,X8 : uni] : ($sum(sK7,$uminus(X9)) != X10 | $uminus(sK3) != tb2t1(X8) | ~$less(tb2t1(X8),X11) | sK5 != X11 | $less(tb2t1(X8),0) | tb2t1(get(int,int,t2tb2(sK6),X8)) != X10 | sK5 != X9)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_275])])). 15.15/2.51 tff(f7908,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int,X8 : uni,X9 : $int] : ($sum(sK7,$uminus(X9)) != X10 | sK5 != X9 | tb2t1(get(int,int,t2tb2(sK6),X8)) != X10 | $less(tb2t1(X8),0) | sK5 != X11 | ~$less(tb2t1(X8),X11) | $less(sK9,0) | $uminus(sK3) != tb2t1(X8)) ) | (~spl30_45 | spl30_193)), 15.15/2.51 inference(subsumption_resolution,[],[f7900,f6991])). 15.15/2.51 tff(f7900,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int,X8 : uni,X9 : $int] : ($sum(sK7,$uminus(X9)) != X10 | sK5 != X9 | tb2t1(get(int,int,t2tb2(sK6),X8)) != X10 | $less(tb2t1(X8),0) | sK5 != X11 | ~$less(tb2t1(X8),X11) | mem(int,t2tb1(sK9),t2tb(sK1)) | $less(sK9,0) | $uminus(sK3) != tb2t1(X8)) ) | ~spl30_45), 15.15/2.51 inference(constrained_superposition,[],[f1952,f1014])). 15.15/2.51 tff(f7784,plain,( 15.15/2.51 spl30_274 | spl30_74 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f7780,f657,f590,f1720,f7782])). 15.15/2.51 tff(f1720,plain,( 15.15/2.51 spl30_74 <=> ! [X0 : $int] : (sK15 != X0 | ~$less(X0,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_74])])). 15.15/2.51 tff(f7780,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | ~$less(X0,0) | ~$less(sK16,X1) | ~partial_solution1(X1,X2) | ~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),X3)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f7779,f312])). 15.15/2.51 tff(f7779,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | ~$less(X0,0) | ~$less(sK16,X1) | ~partial_solution1(X1,X2) | ~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),X3)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f7767,f592])). 15.15/2.51 tff(f7767,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | ~$less(X0,0) | ~$less(sK16,X1) | $less(sK16,0) | ~partial_solution1(X1,X2) | ~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X2),X3)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f1790,f659])). 15.15/2.51 tff(f7681,plain,( 15.15/2.51 ~spl30_273 | ~spl30_190), 15.15/2.51 inference(avatar_split_clause,[],[f7676,f6979,f7678])). 15.15/2.51 tff(f7678,plain,( 15.15/2.51 spl30_273 <=> $less(cardinal1(int,t2tb(sK0)),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_273])])). 15.15/2.51 tff(f6979,plain,( 15.15/2.51 spl30_190 <=> ! [X3 : $int] : (sK5 != X3 | ~$less(cardinal1(int,t2tb(sK0)),X3))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_190])])). 15.15/2.51 tff(f7676,plain,( 15.15/2.51 ~$less(cardinal1(int,t2tb(sK0)),sK5) | ~spl30_190), 15.15/2.51 inference(equality_resolution,[],[f6980])). 15.15/2.51 tff(f6980,plain,( 15.15/2.51 ( ! [X3 : $int] : (sK5 != X3 | ~$less(cardinal1(int,t2tb(sK0)),X3)) ) | ~spl30_190), 15.15/2.51 inference(avatar_component_clause,[],[f6979])). 15.15/2.51 tff(f7674,plain,( 15.15/2.51 ~spl30_272 | ~spl30_194), 15.15/2.51 inference(avatar_split_clause,[],[f7669,f6994,f7671])). 15.15/2.51 tff(f7671,plain,( 15.15/2.51 spl30_272 <=> $less($uminus(sK3),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_272])])). 15.15/2.51 tff(f6994,plain,( 15.15/2.51 spl30_194 <=> ! [X5 : $int] : (sK5 != X5 | ~$less($uminus(sK3),X5))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_194])])). 15.15/2.51 tff(f7669,plain,( 15.15/2.51 ~$less($uminus(sK3),sK5) | ~spl30_194), 15.15/2.51 inference(equality_resolution,[],[f6995])). 15.15/2.51 tff(f6995,plain,( 15.15/2.51 ( ! [X5 : $int] : (sK5 != X5 | ~$less($uminus(sK3),X5)) ) | ~spl30_194), 15.15/2.51 inference(avatar_component_clause,[],[f6994])). 15.15/2.51 tff(f7553,plain,( 15.15/2.51 spl30_59 | ~spl30_38), 15.15/2.51 inference(avatar_split_clause,[],[f7552,f768,f1345])). 15.15/2.51 tff(f7552,plain,( 15.15/2.51 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~spl30_38), 15.15/2.51 inference(subsumption_resolution,[],[f7544,f305])). 15.15/2.51 tff(f7544,plain,( 15.15/2.51 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~sort1(int,t2tb1(min_elt1(sK8))) | ~spl30_38), 15.15/2.51 inference(superposition,[],[f428,f770])). 15.15/2.51 tff(f7537,plain,( 15.15/2.51 ~spl30_271 | spl30_49 | spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7536,f6990,f1207,f7528])). 15.15/2.51 tff(f7536,plain,( 15.15/2.51 sK9 != max_elt1(sK1) | (spl30_49 | spl30_193)), 15.15/2.51 inference(forward_demodulation,[],[f7535,f309])). 15.15/2.51 tff(f7535,plain,( 15.15/2.51 sK9 != max_elt1(tb2t(t2tb(sK1))) | (spl30_49 | spl30_193)), 15.15/2.51 inference(subsumption_resolution,[],[f7514,f1208])). 15.15/2.51 tff(f7514,plain,( 15.15/2.51 sK9 != max_elt1(tb2t(t2tb(sK1))) | is_empty(int,t2tb(sK1)) | spl30_193), 15.15/2.51 inference(constrained_resolution,[],[f6991,f845])). 15.15/2.51 tff(f7534,plain,( 15.15/2.51 ~spl30_270 | spl30_49 | spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7533,f6990,f1207,f7522])). 15.15/2.51 tff(f7533,plain,( 15.15/2.51 sK9 != min_elt1(sK1) | (spl30_49 | spl30_193)), 15.15/2.51 inference(forward_demodulation,[],[f7532,f309])). 15.15/2.51 tff(f7532,plain,( 15.15/2.51 sK9 != min_elt1(tb2t(t2tb(sK1))) | (spl30_49 | spl30_193)), 15.15/2.51 inference(subsumption_resolution,[],[f7513,f1208])). 15.15/2.51 tff(f7513,plain,( 15.15/2.51 sK9 != min_elt1(tb2t(t2tb(sK1))) | is_empty(int,t2tb(sK1)) | spl30_193), 15.15/2.51 inference(constrained_resolution,[],[f6991,f879])). 15.15/2.51 tff(f7531,plain,( 15.15/2.51 ~spl30_271 | spl30_49 | spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7526,f6990,f1207,f7528])). 15.15/2.51 tff(f7526,plain,( 15.15/2.51 sK9 != max_elt1(sK1) | (spl30_49 | spl30_193)), 15.15/2.51 inference(subsumption_resolution,[],[f7510,f1208])). 15.15/2.51 tff(f7510,plain,( 15.15/2.51 sK9 != max_elt1(sK1) | is_empty(int,t2tb(sK1)) | spl30_193), 15.15/2.51 inference(constrained_resolution,[],[f6991,f323])). 15.15/2.51 tff(f7525,plain,( 15.15/2.51 ~spl30_270 | spl30_49 | spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7520,f6990,f1207,f7522])). 15.15/2.51 tff(f7520,plain,( 15.15/2.51 sK9 != min_elt1(sK1) | (spl30_49 | spl30_193)), 15.15/2.51 inference(subsumption_resolution,[],[f7509,f1208])). 15.15/2.51 tff(f7509,plain,( 15.15/2.51 sK9 != min_elt1(sK1) | is_empty(int,t2tb(sK1)) | spl30_193), 15.15/2.51 inference(constrained_resolution,[],[f6991,f324])). 15.15/2.51 tff(f7508,plain,( 15.15/2.51 ~spl30_216 | ~spl30_269 | spl30_124 | ~spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7481,f6990,f3414,f7505,f7128])). 15.15/2.51 tff(f7128,plain,( 15.15/2.51 spl30_216 <=> subset(int,t2tb(sK1),t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_216])])). 15.15/2.51 tff(f7505,plain,( 15.15/2.51 spl30_269 <=> sK9 = max_elt1(sK8)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_269])])). 15.15/2.51 tff(f7481,plain,( 15.15/2.51 sK9 != max_elt1(sK8) | ~subset(int,t2tb(sK1),t2tb(sK2)) | (spl30_124 | ~spl30_193)), 15.15/2.51 inference(constrained_resolution,[],[f6992,f3469])). 15.15/2.51 tff(f6992,plain,( 15.15/2.51 mem(int,t2tb1(sK9),t2tb(sK1)) | ~spl30_193), 15.15/2.51 inference(avatar_component_clause,[],[f6990])). 15.15/2.51 tff(f7503,plain,( 15.15/2.51 ~spl30_268 | ~spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7480,f6990,f7500])). 15.15/2.51 tff(f7500,plain,( 15.15/2.51 spl30_268 <=> $less(max_elt1(sK1),sK9)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_268])])). 15.15/2.51 tff(f7480,plain,( 15.15/2.51 ~$less(max_elt1(sK1),sK9) | ~spl30_193), 15.15/2.51 inference(resolution,[],[f6992,f1478])). 15.15/2.51 tff(f7498,plain,( 15.15/2.51 ~spl30_267 | ~spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7479,f6990,f7495])). 15.15/2.51 tff(f7495,plain,( 15.15/2.51 spl30_267 <=> $less(sK9,min_elt1(sK1))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_267])])). 15.15/2.51 tff(f7479,plain,( 15.15/2.51 ~$less(sK9,min_elt1(sK1)) | ~spl30_193), 15.15/2.51 inference(resolution,[],[f6992,f1507])). 15.15/2.51 tff(f7493,plain,( 15.15/2.51 spl30_192 | ~spl30_266 | ~spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7476,f6990,f7490,f6986])). 15.15/2.51 tff(f7490,plain,( 15.15/2.51 spl30_266 <=> $less(sK19(sK9),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_266])])). 15.15/2.51 tff(f7476,plain,( 15.15/2.51 ~$less(sK19(sK9),0) | $less(sK9,0) | ~spl30_193), 15.15/2.51 inference(resolution,[],[f6992,f1110])). 15.15/2.51 tff(f7488,plain,( 15.15/2.51 spl30_192 | spl30_265 | ~spl30_193), 15.15/2.51 inference(avatar_split_clause,[],[f7475,f6990,f7485,f6986])). 15.15/2.51 tff(f7485,plain,( 15.15/2.51 spl30_265 <=> $less(sK19(sK9),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_265])])). 15.15/2.51 tff(f7475,plain,( 15.15/2.51 $less(sK19(sK9),sK5) | $less(sK9,0) | ~spl30_193), 15.15/2.51 inference(resolution,[],[f6992,f2317])). 15.15/2.51 tff(f2317,plain,( 15.15/2.51 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK1)) | $less(sK19(X0),sK5) | $less(X0,0)) )), 15.15/2.51 inference(equality_resolution,[],[f1188])). 15.15/2.51 tff(f1188,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (sK5 != X1 | ~mem(int,t2tb1(X0),t2tb(sK1)) | $less(sK19(X0),X1) | $less(X0,0)) )), 15.15/2.51 inference(equality_resolution,[],[f449])). 15.15/2.51 tff(f449,plain,( 15.15/2.51 ( ! [X26 : $int,X27 : $int,X25 : $int] : (sK19(X25) != X26 | ~mem(int,t2tb1(X25),t2tb(sK1)) | sK5 != X27 | $less(X26,X27) | $less(X25,0)) )), 15.15/2.51 inference(theory_flattening,[],[f268])). 15.15/2.51 tff(f268,plain,( 15.15/2.51 ( ! [X25 : $int] : (~mem(int,t2tb1(X25),t2tb(sK1)) | $less(sK19(X25),sK5) | $less(X25,0)) )), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f7468,plain,( 15.15/2.51 ~spl30_29 | ~spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f7462,f499,f687])). 15.15/2.51 tff(f687,plain,( 15.15/2.51 spl30_29 <=> is_empty(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_29])])). 15.15/2.51 tff(f7462,plain,( 15.15/2.51 ~is_empty(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | ~spl30_3), 15.15/2.51 inference(resolution,[],[f501,f332])). 15.15/2.51 tff(f7452,plain,( 15.15/2.51 spl30_227 | spl30_264 | ~spl30_221 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7249,f7180,f7253,f7449,f7285])). 15.15/2.51 tff(f7449,plain,( 15.15/2.51 spl30_264 <=> $less(sK20(min_elt1(sK8)),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_264])])). 15.15/2.51 tff(f7253,plain,( 15.15/2.51 spl30_221 <=> mem(int,t2tb1(sK15),t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_221])])). 15.15/2.51 tff(f7180,plain,( 15.15/2.51 spl30_219 <=> t2tb1(min_elt1(sK8)) = t2tb1(sK15)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_219])])). 15.15/2.51 tff(f7249,plain,( 15.15/2.51 ~mem(int,t2tb1(sK15),t2tb(sK2)) | $less(sK20(min_elt1(sK8)),sK5) | $less(min_elt1(sK8),0) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f2343,f7182])). 15.15/2.51 tff(f7182,plain,( 15.15/2.51 t2tb1(min_elt1(sK8)) = t2tb1(sK15) | ~spl30_219), 15.15/2.51 inference(avatar_component_clause,[],[f7180])). 15.15/2.51 tff(f2343,plain,( 15.15/2.51 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK2)) | $less(sK20(X0),sK5) | $less(X0,0)) )), 15.15/2.51 inference(equality_resolution,[],[f1231])). 15.15/2.51 tff(f1231,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (sK5 != X1 | ~mem(int,t2tb1(X0),t2tb(sK2)) | $less(sK20(X0),X1) | $less(X0,0)) )), 15.15/2.51 inference(equality_resolution,[],[f452])). 15.15/2.51 tff(f452,plain,( 15.15/2.51 ( ! [X28 : $int,X29 : $int,X30 : $int] : (sK20(X28) != X29 | ~mem(int,t2tb1(X28),t2tb(sK2)) | sK5 != X30 | $less(X29,X30) | $less(X28,0)) )), 15.15/2.51 inference(theory_flattening,[],[f264])). 15.15/2.51 tff(f264,plain,( 15.15/2.51 ( ! [X28 : $int] : (~mem(int,t2tb1(X28),t2tb(sK2)) | $less(sK20(X28),sK5) | $less(X28,0)) )), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f7447,plain,( 15.15/2.51 spl30_227 | spl30_263 | ~spl30_248 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7248,f7180,f7377,f7444,f7285])). 15.15/2.51 tff(f7444,plain,( 15.15/2.51 spl30_263 <=> $less(sK19(min_elt1(sK8)),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_263])])). 15.15/2.51 tff(f7377,plain,( 15.15/2.51 spl30_248 <=> mem(int,t2tb1(sK15),t2tb(sK1))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_248])])). 15.15/2.51 tff(f7248,plain,( 15.15/2.51 ~mem(int,t2tb1(sK15),t2tb(sK1)) | $less(sK19(min_elt1(sK8)),sK5) | $less(min_elt1(sK8),0) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f2317,f7182])). 15.15/2.51 tff(f7442,plain,( 15.15/2.51 spl30_227 | spl30_237 | spl30_262 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7247,f7180,f7440,f7331,f7285])). 15.15/2.51 tff(f7331,plain,( 15.15/2.51 spl30_237 <=> ! [X35 : $int] : (sK5 != X35 | ~$less(min_elt1(sK8),X35))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_237])])). 15.15/2.51 tff(f7440,plain,( 15.15/2.51 spl30_262 <=> ! [X92 : $int,X91 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK15))) != $sum($sum(X91,X92),$uminus(min_elt1(sK8))) | $less(X91,0) | mem(int,t2tb1(X91),t2tb(sK2)) | sK5 != X92)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_262])])). 15.15/2.51 tff(f7247,plain,( 15.15/2.51 ( ! [X91 : $int,X92 : $int,X93 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK15))) != $sum($sum(X91,X92),$uminus(min_elt1(sK8))) | sK5 != X92 | sK5 != X93 | ~$less(min_elt1(sK8),X93) | $less(min_elt1(sK8),0) | mem(int,t2tb1(X91),t2tb(sK2)) | $less(X91,0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1989,f7182])). 15.15/2.51 tff(f7438,plain,( 15.15/2.51 spl30_237 | spl30_227 | spl30_261 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7246,f7180,f7436,f7285,f7331])). 15.15/2.51 tff(f7436,plain,( 15.15/2.51 spl30_261 <=> ! [X89 : $int,X88 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK15))) != $sum($sum(X88,min_elt1(sK8)),$uminus(X89)) | $less(X88,0) | mem(int,t2tb1(X88),t2tb(sK1)) | sK5 != X89)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_261])])). 15.15/2.51 tff(f7246,plain,( 15.15/2.51 ( ! [X90 : $int,X88 : $int,X89 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK15))) != $sum($sum(X88,min_elt1(sK8)),$uminus(X89)) | sK5 != X89 | $less(min_elt1(sK8),0) | sK5 != X90 | ~$less(min_elt1(sK8),X90) | mem(int,t2tb1(X88),t2tb(sK1)) | $less(X88,0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1957,f7182])). 15.15/2.51 tff(f7434,plain,( 15.15/2.51 spl30_227 | spl30_260 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7245,f7180,f7432,f7285])). 15.15/2.51 tff(f7432,plain,( 15.15/2.51 spl30_260 <=> ! [X85 : $int,X84 : uni,X87 : $int,X86 : $int] : (tb2t1(get(int,int,X84,t2tb1(sK15))) != X85 | ~$less(min_elt1(sK8),X87) | ~partial_solution1(X87,tb2t2(X84)) | $less(X85,X86) | n1 != X86)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_260])])). 15.15/2.51 tff(f7245,plain,( 15.15/2.51 ( ! [X86 : $int,X87 : $int,X84 : uni,X85 : $int] : (tb2t1(get(int,int,X84,t2tb1(sK15))) != X85 | n1 != X86 | $less(X85,X86) | ~$less(min_elt1(sK8),X87) | $less(min_elt1(sK8),0) | ~partial_solution1(X87,tb2t2(X84))) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1835,f7182])). 15.15/2.51 tff(f7430,plain,( 15.15/2.51 spl30_227 | spl30_259 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7244,f7180,f7428,f7285])). 15.15/2.51 tff(f7428,plain,( 15.15/2.51 spl30_259 <=> ! [X79 : ty,X82 : uni,X81 : uni,X80 : uni,X83 : $int] : (~eq_prefix1(X79,X80,set1(X79,int,X81,t2tb1(sK15),X82),X83) | ~sort1(X79,X82) | get(X79,int,X80,t2tb1(sK15)) = X82 | ~$less(min_elt1(sK8),X83))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_259])])). 15.15/2.51 tff(f7244,plain,( 15.15/2.51 ( ! [X82 : uni,X83 : $int,X80 : uni,X81 : uni,X79 : ty] : (~eq_prefix1(X79,X80,set1(X79,int,X81,t2tb1(sK15),X82),X83) | ~$less(min_elt1(sK8),X83) | $less(min_elt1(sK8),0) | get(X79,int,X80,t2tb1(sK15)) = X82 | ~sort1(X79,X82)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1777,f7182])). 15.15/2.51 tff(f7426,plain,( 15.15/2.51 spl30_227 | spl30_258 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7243,f7180,f7424,f7285])). 15.15/2.51 tff(f7424,plain,( 15.15/2.51 spl30_258 <=> ! [X75 : uni,X74 : ty,X77 : uni,X78 : $int,X76 : uni] : (~eq_prefix1(X74,set1(X74,int,X75,t2tb1(sK15),X76),X77,X78) | ~sort1(X74,X76) | get(X74,int,X77,t2tb1(sK15)) = X76 | ~$less(min_elt1(sK8),X78))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_258])])). 15.15/2.51 tff(f7243,plain,( 15.15/2.51 ( ! [X78 : $int,X76 : uni,X77 : uni,X74 : ty,X75 : uni] : (~eq_prefix1(X74,set1(X74,int,X75,t2tb1(sK15),X76),X77,X78) | ~$less(min_elt1(sK8),X78) | $less(min_elt1(sK8),0) | get(X74,int,X77,t2tb1(sK15)) = X76 | ~sort1(X74,X76)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1770,f7182])). 15.15/2.51 tff(f7422,plain,( 15.15/2.51 spl30_227 | spl30_257 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7242,f7180,f7420,f7285])). 15.15/2.51 tff(f7420,plain,( 15.15/2.51 spl30_257 <=> ! [X73 : $int,X72 : map_int_int] : (~$less(tb2t1(get(int,int,t2tb2(X72),t2tb1(sK15))),0) | ~$less(min_elt1(sK8),X73) | ~partial_solution1(X73,X72))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_257])])). 15.15/2.51 tff(f7242,plain,( 15.15/2.51 ( ! [X72 : map_int_int,X73 : $int] : (~$less(tb2t1(get(int,int,t2tb2(X72),t2tb1(sK15))),0) | ~$less(min_elt1(sK8),X73) | $less(min_elt1(sK8),0) | ~partial_solution1(X73,X72)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1713,f7182])). 15.15/2.51 tff(f1713,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : map_int_int,X1 : $int] : (~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X1))),0) | ~$less(X1,X2) | $less(X1,0) | ~partial_solution1(X2,X0)) )), 15.15/2.51 inference(equality_resolution,[],[f464])). 15.15/2.51 tff(f7418,plain,( 15.15/2.51 spl30_227 | spl30_256 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7241,f7180,f7416,f7285])). 15.15/2.51 tff(f7416,plain,( 15.15/2.51 spl30_256 <=> ! [X70 : $int,X69 : uni,X71 : $int] : (tb2t1(get(int,int,X69,t2tb1(sK15))) != X70 | ~$less(min_elt1(sK8),X71) | ~partial_solution1(X71,tb2t2(X69)) | ~$less(X70,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_256])])). 15.15/2.51 tff(f7241,plain,( 15.15/2.51 ( ! [X70 : $int,X71 : $int,X69 : uni] : (tb2t1(get(int,int,X69,t2tb1(sK15))) != X70 | ~$less(X70,0) | ~$less(min_elt1(sK8),X71) | $less(min_elt1(sK8),0) | ~partial_solution1(X71,tb2t2(X69))) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1709,f7182])). 15.15/2.51 tff(f7414,plain,( 15.15/2.51 ~spl30_255 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7240,f7180,f7411])). 15.15/2.51 tff(f7411,plain,( 15.15/2.51 spl30_255 <=> mem(int,t2tb1(sK15),t2tb(below1(min_elt1(sK8))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_255])])). 15.15/2.51 tff(f7240,plain,( 15.15/2.51 ~mem(int,t2tb1(sK15),t2tb(below1(min_elt1(sK8)))) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1694,f7182])). 15.15/2.51 tff(f1694,plain,( 15.15/2.51 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(below1(X0)))) )), 15.15/2.51 inference(superposition,[],[f1685,f312])). 15.15/2.51 tff(f7409,plain,( 15.15/2.51 spl30_226 | spl30_228 | ~spl30_254 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7239,f7180,f7406,f7290,f7279])). 15.15/2.51 tff(f7290,plain,( 15.15/2.51 spl30_228 <=> ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK8)) | $less(min_elt1(sK8),X0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_228])])). 15.15/2.51 tff(f7406,plain,( 15.15/2.51 spl30_254 <=> mem(int,t2tb1(sK15),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_254])])). 15.15/2.51 tff(f7239,plain,( 15.15/2.51 ( ! [X68 : $int] : (~mem(int,t2tb1(sK15),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | $less(min_elt1(sK8),X68) | mem(int,t2tb1(sK15),t2tb(sK8)) | ~mem(int,t2tb1(X68),t2tb(sK8))) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1661,f7182])). 15.15/2.51 tff(f1661,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int] : (~mem(int,t2tb1(X3),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | $less(X3,X2) | mem(int,t2tb1(X3),t2tb(sK8)) | ~mem(int,t2tb1(X2),t2tb(sK8))) )), 15.15/2.51 inference(resolution,[],[f289,f416])). 15.15/2.51 tff(f7404,plain,( 15.15/2.51 spl30_246 | spl30_251 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7236,f7180,f7391,f7368])). 15.15/2.51 tff(f7391,plain,( 15.15/2.51 spl30_251 <=> ! [X63 : uni] : ~mem(int,t2tb1(sK15),diff(int,t2tb(sK0),X63))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_251])])). 15.15/2.51 tff(f7236,plain,( 15.15/2.51 ( ! [X65 : uni] : (~mem(int,t2tb1(sK15),diff(int,t2tb(sK0),X65)) | $less(min_elt1(sK8),n1)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1379,f7182])). 15.15/2.51 tff(f7403,plain,( 15.15/2.51 spl30_246 | spl30_250 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7235,f7180,f7387,f7368])). 15.15/2.51 tff(f7387,plain,( 15.15/2.51 spl30_250 <=> ! [X62 : uni] : ~mem(int,t2tb1(sK15),remove(int,X62,t2tb(sK0)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_250])])). 15.15/2.51 tff(f7235,plain,( 15.15/2.51 ( ! [X64 : uni] : (~mem(int,t2tb1(sK15),remove(int,X64,t2tb(sK0))) | $less(min_elt1(sK8),n1)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1377,f7182])). 15.15/2.51 tff(f1377,plain,( 15.15/2.51 ( ! [X8 : uni,X7 : $int] : (~mem(int,t2tb1(X7),remove(int,X8,t2tb(sK0))) | $less(X7,n1)) )), 15.15/2.51 inference(resolution,[],[f1084,f371])). 15.15/2.51 tff(f7402,plain,( 15.15/2.51 ~spl30_252 | spl30_227 | ~spl30_253 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7234,f7180,f7399,f7285,f7395])). 15.15/2.51 tff(f7395,plain,( 15.15/2.51 spl30_252 <=> $less(min_elt1(sK8),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_252])])). 15.15/2.51 tff(f7399,plain,( 15.15/2.51 spl30_253 <=> mem(int,get(int,int,t2tb2(sK6),t2tb1(sK15)),t2tb(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_253])])). 15.15/2.51 tff(f7234,plain,( 15.15/2.51 ~mem(int,get(int,int,t2tb2(sK6),t2tb1(sK15)),t2tb(sK0)) | $less(min_elt1(sK8),0) | ~$less(min_elt1(sK8),sK5) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1364,f7182])). 15.15/2.51 tff(f7393,plain,( 15.15/2.51 ~spl30_227 | spl30_251 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7233,f7180,f7391,f7285])). 15.15/2.51 tff(f7233,plain,( 15.15/2.51 ( ! [X63 : uni] : (~mem(int,t2tb1(sK15),diff(int,t2tb(sK0),X63)) | ~$less(min_elt1(sK8),0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1148,f7182])). 15.15/2.51 tff(f7389,plain,( 15.15/2.51 ~spl30_227 | spl30_250 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7232,f7180,f7387,f7285])). 15.15/2.51 tff(f7232,plain,( 15.15/2.51 ( ! [X62 : uni] : (~mem(int,t2tb1(sK15),remove(int,X62,t2tb(sK0))) | ~$less(min_elt1(sK8),0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1146,f7182])). 15.15/2.51 tff(f1146,plain,( 15.15/2.51 ( ! [X8 : uni,X7 : $int] : (~mem(int,t2tb1(X7),remove(int,X8,t2tb(sK0))) | ~$less(X7,0)) )), 15.15/2.51 inference(resolution,[],[f1085,f371])). 15.15/2.51 tff(f7385,plain,( 15.15/2.51 spl30_227 | ~spl30_249 | ~spl30_221 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7231,f7180,f7253,f7382,f7285])). 15.15/2.51 tff(f7382,plain,( 15.15/2.51 spl30_249 <=> $less(sK20(min_elt1(sK8)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_249])])). 15.15/2.51 tff(f7231,plain,( 15.15/2.51 ~mem(int,t2tb1(sK15),t2tb(sK2)) | ~$less(sK20(min_elt1(sK8)),0) | $less(min_elt1(sK8),0) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1115,f7182])). 15.15/2.51 tff(f7380,plain,( 15.15/2.51 spl30_227 | ~spl30_247 | ~spl30_248 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7230,f7180,f7377,f7373,f7285])). 15.15/2.51 tff(f7373,plain,( 15.15/2.51 spl30_247 <=> $less(sK19(min_elt1(sK8)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_247])])). 15.15/2.51 tff(f7230,plain,( 15.15/2.51 ~mem(int,t2tb1(sK15),t2tb(sK1)) | ~$less(sK19(min_elt1(sK8)),0) | $less(min_elt1(sK8),0) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f1110,f7182])). 15.15/2.51 tff(f7371,plain,( 15.15/2.51 spl30_246 | ~spl30_61 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7366,f7180,f1431,f7368])). 15.15/2.51 tff(f7366,plain,( 15.15/2.51 $less(min_elt1(sK8),n1) | (~spl30_61 | ~spl30_219)), 15.15/2.51 inference(subsumption_resolution,[],[f7229,f1433])). 15.15/2.51 tff(f7229,plain,( 15.15/2.51 ~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(min_elt1(sK8),n1) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f732,f7182])). 15.15/2.51 tff(f7365,plain,( 15.15/2.51 spl30_244 | spl30_227 | spl30_245 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7228,f7180,f7363,f7285,f7360])). 15.15/2.51 tff(f7360,plain,( 15.15/2.51 spl30_244 <=> ! [X59 : $int] : (n1 != X59 | ~$less(min_elt1(sK8),X59))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_244])])). 15.15/2.51 tff(f7363,plain,( 15.15/2.51 spl30_245 <=> ! [X61 : $int,X57 : map_int_int,X58 : $int,X60 : map_int_int] : (tb2t1(get(int,int,t2tb2(X57),t2tb1(sK15))) != X58 | ~eq_prefix1(int,t2tb2(X60),t2tb2(X57),min_elt1(sK8)) | ~$less(X61,X58) | tb2t1(get(int,int,t2tb2(X60),t2tb1(sK15))) != X61 | lt_sol1(X60,X57))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_245])])). 15.15/2.51 tff(f7228,plain,( 15.15/2.51 ( ! [X58 : $int,X59 : $int,X57 : map_int_int,X60 : map_int_int,X61 : $int] : (tb2t1(get(int,int,t2tb2(X57),t2tb1(sK15))) != X58 | $less(min_elt1(sK8),0) | n1 != X59 | ~$less(min_elt1(sK8),X59) | tb2t1(get(int,int,t2tb2(X60),t2tb1(sK15))) != X61 | lt_sol1(X60,X57) | ~$less(X61,X58) | ~eq_prefix1(int,t2tb2(X60),t2tb2(X57),min_elt1(sK8))) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f475,f7182])). 15.15/2.51 tff(f7358,plain,( 15.15/2.51 spl30_227 | spl30_243 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7227,f7180,f7356,f7285])). 15.15/2.51 tff(f7356,plain,( 15.15/2.51 spl30_243 <=> ! [X55 : $int,X54 : $int,X53 : map_int_int,X56 : $int] : (tb2t1(get(int,int,t2tb2(X53),t2tb1(sK15))) != X54 | ~$less(min_elt1(sK8),X56) | ~partial_solution1(X56,X53) | $less(X54,X55) | n1 != X55)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_243])])). 15.15/2.51 tff(f7227,plain,( 15.15/2.51 ( ! [X56 : $int,X54 : $int,X55 : $int,X53 : map_int_int] : (tb2t1(get(int,int,t2tb2(X53),t2tb1(sK15))) != X54 | n1 != X55 | $less(X54,X55) | ~$less(min_elt1(sK8),X56) | $less(min_elt1(sK8),0) | ~partial_solution1(X56,X53)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f467,f7182])). 15.15/2.51 tff(f7354,plain,( 15.15/2.51 spl30_227 | spl30_242 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7350,f7180,f7352,f7285])). 15.15/2.51 tff(f7352,plain,( 15.15/2.51 spl30_242 <=> ! [X48 : map_int_int,X51 : $int,X50 : $int,X49 : $int,X52 : $int] : (tb2t1(get(int,int,t2tb2(X48),t2tb1(sK15))) != X49 | ~partial_solution1(X52,X48) | ~$less(X50,X52) | ~$less(min_elt1(sK8),X50) | $sum(X50,$uminus(min_elt1(sK8))) != $sum(X51,$uminus(X49)) | tb2t1(get(int,int,t2tb2(X48),t2tb1(X50))) != X51)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_242])])). 15.15/2.51 tff(f7350,plain,( 15.15/2.51 ( ! [X50 : $int,X51 : $int,X48 : map_int_int,X49 : $int,X52 : $int] : (tb2t1(get(int,int,t2tb2(X48),t2tb1(sK15))) != X49 | tb2t1(get(int,int,t2tb2(X48),t2tb1(X50))) != X51 | $sum(X50,$uminus(min_elt1(sK8))) != $sum(X51,$uminus(X49)) | $less(min_elt1(sK8),0) | ~$less(min_elt1(sK8),X50) | ~$less(X50,X52) | ~partial_solution1(X52,X48)) ) | ~spl30_219), 15.15/2.51 inference(subsumption_resolution,[],[f7226,f2595])). 15.15/2.51 tff(f7226,plain,( 15.15/2.51 ( ! [X50 : $int,X51 : $int,X48 : map_int_int,X49 : $int,X52 : $int] : (tb2t1(get(int,int,t2tb2(X48),t2tb1(sK15))) != X49 | tb2t1(get(int,int,t2tb2(X48),t2tb1(X50))) != X51 | $sum(X50,$uminus(min_elt1(sK8))) != $sum(X51,$uminus(X49)) | $less(min_elt1(sK8),0) | ~$less(min_elt1(sK8),X50) | ~$less(X50,X52) | $less(X50,0) | ~partial_solution1(X52,X48)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f466,f7182])). 15.15/2.51 tff(f7349,plain,( 15.15/2.51 spl30_227 | spl30_241 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7345,f7180,f7347,f7285])). 15.15/2.51 tff(f7347,plain,( 15.15/2.51 spl30_241 <=> ! [X44 : $int,X43 : map_int_int,X47 : $int,X46 : $int,X45 : $int] : (tb2t1(get(int,int,t2tb2(X43),t2tb1(sK15))) != X44 | ~partial_solution1(X47,X43) | ~$less(X45,X47) | ~$less(min_elt1(sK8),X45) | $sum(min_elt1(sK8),$uminus(X45)) != $sum(X46,$uminus(X44)) | tb2t1(get(int,int,t2tb2(X43),t2tb1(X45))) != X46)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_241])])). 15.15/2.51 tff(f7345,plain,( 15.15/2.51 ( ! [X46 : $int,X47 : $int,X44 : $int,X45 : $int,X43 : map_int_int] : (tb2t1(get(int,int,t2tb2(X43),t2tb1(sK15))) != X44 | tb2t1(get(int,int,t2tb2(X43),t2tb1(X45))) != X46 | $sum(min_elt1(sK8),$uminus(X45)) != $sum(X46,$uminus(X44)) | $less(min_elt1(sK8),0) | ~$less(min_elt1(sK8),X45) | ~$less(X45,X47) | ~partial_solution1(X47,X43)) ) | ~spl30_219), 15.15/2.51 inference(subsumption_resolution,[],[f7225,f2595])). 15.15/2.51 tff(f7225,plain,( 15.15/2.51 ( ! [X46 : $int,X47 : $int,X44 : $int,X45 : $int,X43 : map_int_int] : (tb2t1(get(int,int,t2tb2(X43),t2tb1(sK15))) != X44 | tb2t1(get(int,int,t2tb2(X43),t2tb1(X45))) != X46 | $sum(min_elt1(sK8),$uminus(X45)) != $sum(X46,$uminus(X44)) | $less(min_elt1(sK8),0) | ~$less(min_elt1(sK8),X45) | ~$less(X45,X47) | $less(X45,0) | ~partial_solution1(X47,X43)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f465,f7182])). 15.15/2.51 tff(f7344,plain,( 15.15/2.51 spl30_227 | spl30_240 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7224,f7180,f7342,f7285])). 15.15/2.51 tff(f7342,plain,( 15.15/2.51 spl30_240 <=> ! [X41 : $int,X40 : map_int_int,X42 : $int] : (tb2t1(get(int,int,t2tb2(X40),t2tb1(sK15))) != X41 | ~$less(min_elt1(sK8),X42) | ~partial_solution1(X42,X40) | ~$less(X41,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_240])])). 15.15/2.51 tff(f7224,plain,( 15.15/2.51 ( ! [X40 : map_int_int,X41 : $int,X42 : $int] : (tb2t1(get(int,int,t2tb2(X40),t2tb1(sK15))) != X41 | ~$less(X41,0) | ~$less(min_elt1(sK8),X42) | $less(min_elt1(sK8),0) | ~partial_solution1(X42,X40)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f464,f7182])). 15.15/2.51 tff(f7340,plain,( 15.15/2.51 spl30_227 | spl30_237 | spl30_239 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7223,f7180,f7338,f7331,f7285])). 15.15/2.51 tff(f7338,plain,( 15.15/2.51 spl30_239 <=> ! [X38 : $int,X36 : $int,X37 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK15))) != X36 | $less(X38,0) | mem(int,t2tb1(X38),t2tb(sK2)) | $sum($sum(X38,X37),$uminus(min_elt1(sK8))) != X36 | sK5 != X37)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_239])])). 15.15/2.51 tff(f7223,plain,( 15.15/2.51 ( ! [X38 : $int,X39 : $int,X36 : $int,X37 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK15))) != X36 | sK5 != X37 | $sum($sum(X38,X37),$uminus(min_elt1(sK8))) != X36 | sK5 != X39 | ~$less(min_elt1(sK8),X39) | $less(min_elt1(sK8),0) | mem(int,t2tb1(X38),t2tb(sK2)) | $less(X38,0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f450,f7182])). 15.15/2.51 tff(f7336,plain,( 15.15/2.51 spl30_237 | spl30_227 | spl30_238 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7222,f7180,f7334,f7285,f7331])). 15.15/2.51 tff(f7334,plain,( 15.15/2.51 spl30_238 <=> ! [X34 : $int,X32 : $int,X33 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK15))) != X32 | $less(X34,0) | mem(int,t2tb1(X34),t2tb(sK1)) | $sum($sum(X34,min_elt1(sK8)),$uminus(X33)) != X32 | sK5 != X33)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_238])])). 15.15/2.51 tff(f7222,plain,( 15.15/2.51 ( ! [X34 : $int,X35 : $int,X32 : $int,X33 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK15))) != X32 | sK5 != X33 | $sum($sum(X34,min_elt1(sK8)),$uminus(X33)) != X32 | $less(min_elt1(sK8),0) | sK5 != X35 | ~$less(min_elt1(sK8),X35) | mem(int,t2tb1(X34),t2tb(sK1)) | $less(X34,0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f446,f7182])). 15.15/2.51 tff(f7329,plain,( 15.15/2.51 spl30_227 | spl30_236 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7221,f7180,f7327,f7285])). 15.15/2.51 tff(f7327,plain,( 15.15/2.51 spl30_236 <=> ! [X31 : $int,X29 : uni,X28 : ty,X30 : uni] : (get(X28,int,X29,t2tb1(sK15)) = get(X28,int,X30,t2tb1(sK15)) | ~eq_prefix1(X28,X29,X30,X31) | ~$less(min_elt1(sK8),X31))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_236])])). 15.15/2.51 tff(f7221,plain,( 15.15/2.51 ( ! [X31 : $int,X28 : ty,X29 : uni,X30 : uni] : (get(X28,int,X29,t2tb1(sK15)) = get(X28,int,X30,t2tb1(sK15)) | ~$less(min_elt1(sK8),X31) | $less(min_elt1(sK8),0) | ~eq_prefix1(X28,X29,X30,X31)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f409,f7182])). 15.15/2.51 tff(f7325,plain,( 15.15/2.51 ~spl30_227 | spl30_235 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7216,f7180,f7323,f7285])). 15.15/2.51 tff(f7323,plain,( 15.15/2.51 spl30_235 <=> ! [X11 : set_int] : ~mem(int,t2tb1(sK15),t2tb(pred1(X11)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_235])])). 15.15/2.51 tff(f7216,plain,( 15.15/2.51 ( ! [X11 : set_int] : (~mem(int,t2tb1(sK15),t2tb(pred1(X11))) | ~$less(min_elt1(sK8),0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f359,f7182])). 15.15/2.51 tff(f7321,plain,( 15.15/2.51 ~spl30_227 | spl30_234 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7214,f7180,f7319,f7285])). 15.15/2.51 tff(f7319,plain,( 15.15/2.51 spl30_234 <=> ! [X9 : $int] : ~mem(int,t2tb1(sK15),t2tb(below1(X9)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_234])])). 15.15/2.51 tff(f7214,plain,( 15.15/2.51 ( ! [X9 : $int] : (~mem(int,t2tb1(sK15),t2tb(below1(X9))) | ~$less(min_elt1(sK8),0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f356,f7182])). 15.15/2.51 tff(f7317,plain,( 15.15/2.51 spl30_227 | spl30_233 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7213,f7180,f7315,f7285])). 15.15/2.51 tff(f7315,plain,( 15.15/2.51 spl30_233 <=> ! [X8 : $int] : (mem(int,t2tb1(sK15),t2tb(below1(X8))) | ~$less(min_elt1(sK8),X8))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_233])])). 15.15/2.51 tff(f7213,plain,( 15.15/2.51 ( ! [X8 : $int] : (mem(int,t2tb1(sK15),t2tb(below1(X8))) | ~$less(min_elt1(sK8),X8) | $less(min_elt1(sK8),0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f355,f7182])). 15.15/2.51 tff(f7313,plain,( 15.15/2.51 ~spl30_231 | spl30_232 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7212,f7180,f7311,f7307])). 15.15/2.51 tff(f7311,plain,( 15.15/2.51 spl30_232 <=> ! [X7 : set_int] : ~mem(int,t2tb1(sK15),t2tb(succ1(X7)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_232])])). 15.15/2.51 tff(f7212,plain,( 15.15/2.51 ( ! [X7 : set_int] : (~mem(int,t2tb1(sK15),t2tb(succ1(X7))) | ~$less(min_elt1(sK8),1)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f353,f7182])). 15.15/2.51 tff(f7304,plain,( 15.15/2.51 spl30_227 | spl30_230 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7300,f7180,f7302,f7285])). 15.15/2.51 tff(f7302,plain,( 15.15/2.51 spl30_230 <=> ! [X2 : $int,X1 : map_int_int,X3 : $int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(sK15))) | ~partial_solution1(X3,X1) | ~$less(X2,X3) | ~$less(min_elt1(sK8),X2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_230])])). 15.15/2.51 tff(f7300,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X1 : map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(sK15))) | $less(min_elt1(sK8),0) | ~$less(min_elt1(sK8),X2) | ~$less(X2,X3) | ~partial_solution1(X3,X1)) ) | ~spl30_219), 15.15/2.51 inference(subsumption_resolution,[],[f7210,f2595])). 15.15/2.51 tff(f7210,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X1 : map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(sK15))) | $less(min_elt1(sK8),0) | ~$less(min_elt1(sK8),X2) | ~$less(X2,X3) | $less(X2,0) | ~partial_solution1(X3,X1)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f340,f7182])). 15.15/2.51 tff(f7299,plain,( 15.15/2.51 spl30_40 | ~spl30_219), 15.15/2.51 inference(avatar_contradiction_clause,[],[f7298])). 15.15/2.51 tff(f7298,plain,( 15.15/2.51 $false | (spl30_40 | ~spl30_219)), 15.15/2.51 inference(subsumption_resolution,[],[f7297,f818])). 15.15/2.51 tff(f818,plain,( 15.15/2.51 min_elt1(sK8) != sK15 | spl30_40), 15.15/2.51 inference(avatar_component_clause,[],[f816])). 15.15/2.51 tff(f816,plain,( 15.15/2.51 spl30_40 <=> min_elt1(sK8) = sK15), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_40])])). 15.15/2.51 tff(f7297,plain,( 15.15/2.51 min_elt1(sK8) = sK15 | ~spl30_219), 15.15/2.51 inference(forward_demodulation,[],[f7209,f312])). 15.15/2.51 tff(f7209,plain,( 15.15/2.51 min_elt1(sK8) = tb2t1(t2tb1(sK15)) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f312,f7182])). 15.15/2.51 tff(f7296,plain,( 15.15/2.51 spl30_228 | ~spl30_229 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7207,f7180,f7293,f7290])). 15.15/2.51 tff(f7293,plain,( 15.15/2.51 spl30_229 <=> mem(int,t2tb1(sK15),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_229])])). 15.15/2.51 tff(f7207,plain,( 15.15/2.51 ( ! [X0 : $int] : (~mem(int,t2tb1(sK15),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~mem(int,t2tb1(X0),t2tb(sK8)) | $less(min_elt1(sK8),X0)) ) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f289,f7182])). 15.15/2.51 tff(f7288,plain,( 15.15/2.51 ~spl30_227 | ~spl30_61 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7283,f7180,f1431,f7285])). 15.15/2.51 tff(f7283,plain,( 15.15/2.51 ~$less(min_elt1(sK8),0) | (~spl30_61 | ~spl30_219)), 15.15/2.51 inference(subsumption_resolution,[],[f7206,f1433])). 15.15/2.51 tff(f7206,plain,( 15.15/2.51 ~mem(int,t2tb1(sK15),t2tb(sK0)) | ~$less(min_elt1(sK8),0) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f275,f7182])). 15.15/2.51 tff(f7282,plain,( 15.15/2.51 spl30_226 | spl30_5 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7277,f7180,f509,f7279])). 15.15/2.51 tff(f7277,plain,( 15.15/2.51 mem(int,t2tb1(sK15),t2tb(sK8)) | (spl30_5 | ~spl30_219)), 15.15/2.51 inference(subsumption_resolution,[],[f7205,f511])). 15.15/2.51 tff(f7205,plain,( 15.15/2.51 mem(int,t2tb1(sK15),t2tb(sK8)) | is_empty(int,t2tb(sK8)) | ~spl30_219), 15.15/2.51 inference(superposition,[],[f324,f7182])). 15.15/2.51 tff(f7276,plain,( 15.15/2.51 spl30_225 | ~spl30_3 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7203,f7180,f499,f7273])). 15.15/2.51 tff(f7273,plain,( 15.15/2.51 spl30_225 <=> mem(int,t2tb1(sK15),remove(int,t2tb1(sK15),t2tb(sK0)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_225])])). 15.15/2.51 tff(f7203,plain,( 15.15/2.51 mem(int,t2tb1(sK15),remove(int,t2tb1(sK15),t2tb(sK0))) | (~spl30_3 | ~spl30_219)), 15.15/2.51 inference(backward_demodulation,[],[f501,f7182])). 15.15/2.51 tff(f7271,plain,( 15.15/2.51 ~spl30_224 | spl30_29 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7202,f7180,f687,f7268])). 15.15/2.51 tff(f7268,plain,( 15.15/2.51 spl30_224 <=> is_empty(int,remove(int,t2tb1(sK15),t2tb(sK0)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_224])])). 15.15/2.51 tff(f7202,plain,( 15.15/2.51 ~is_empty(int,remove(int,t2tb1(sK15),t2tb(sK0))) | (spl30_29 | ~spl30_219)), 15.15/2.51 inference(backward_demodulation,[],[f689,f7182])). 15.15/2.51 tff(f689,plain,( 15.15/2.51 ~is_empty(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | spl30_29), 15.15/2.51 inference(avatar_component_clause,[],[f687])). 15.15/2.51 tff(f7266,plain,( 15.15/2.51 spl30_223 | ~spl30_38 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7201,f7180,f768,f7263])). 15.15/2.51 tff(f7263,plain,( 15.15/2.51 spl30_223 <=> t2tb2(sK13) = set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(sK15))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_223])])). 15.15/2.51 tff(f7201,plain,( 15.15/2.51 t2tb2(sK13) = set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(sK15)) | (~spl30_38 | ~spl30_219)), 15.15/2.51 inference(backward_demodulation,[],[f770,f7182])). 15.15/2.51 tff(f7261,plain,( 15.15/2.51 spl30_222 | ~spl30_59 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7200,f7180,f1345,f7258])). 15.15/2.51 tff(f7258,plain,( 15.15/2.51 spl30_222 <=> t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK5))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_222])])). 15.15/2.51 tff(f7200,plain,( 15.15/2.51 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | (~spl30_59 | ~spl30_219)), 15.15/2.51 inference(backward_demodulation,[],[f1347,f7182])). 15.15/2.51 tff(f7256,plain,( 15.15/2.51 ~spl30_221 | spl30_125 | ~spl30_219), 15.15/2.51 inference(avatar_split_clause,[],[f7199,f7180,f3420,f7253])). 15.15/2.51 tff(f7199,plain,( 15.15/2.51 ~mem(int,t2tb1(sK15),t2tb(sK2)) | (spl30_125 | ~spl30_219)), 15.15/2.51 inference(backward_demodulation,[],[f3422,f7182])). 15.15/2.51 tff(f7189,plain,( 15.15/2.51 spl30_220 | ~spl30_185 | spl30_218), 15.15/2.51 inference(avatar_split_clause,[],[f7185,f7175,f6446,f7187])). 15.15/2.51 tff(f7187,plain,( 15.15/2.51 spl30_220 <=> ! [X0 : $int] : (~$less(X0,0) | ~$less(1,X0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_220])])). 15.15/2.51 tff(f6446,plain,( 15.15/2.51 spl30_185 <=> 0 = sK5), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_185])])). 15.15/2.51 tff(f7175,plain,( 15.15/2.51 spl30_218 <=> $less(1,sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_218])])). 15.15/2.51 tff(f7185,plain,( 15.15/2.51 ( ! [X0 : $int] : (0 != sK5 | ~$less(X0,0) | ~$less(1,X0)) ) | spl30_218), 15.15/2.51 inference(constrained_resolution,[],[f7177,f2595])). 15.15/2.51 tff(f7177,plain,( 15.15/2.51 ~$less(1,sK5) | spl30_218), 15.15/2.51 inference(avatar_component_clause,[],[f7175])). 15.15/2.51 tff(f7184,plain,( 15.15/2.51 ~spl30_18 | spl30_219 | ~spl30_26 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f1351,f1345,f657,f7180,f585])). 15.15/2.51 tff(f585,plain,( 15.15/2.51 spl30_18 <=> sK5 = sK16), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_18])])). 15.15/2.51 tff(f1351,plain,( 15.15/2.51 t2tb1(min_elt1(sK8)) = t2tb1(sK15) | sK5 != sK16 | (~spl30_26 | ~spl30_59)), 15.15/2.51 inference(constrained_superposition,[],[f1347,f659])). 15.15/2.51 tff(f7183,plain,( 15.15/2.51 ~spl30_18 | spl30_219 | ~spl30_26 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f1352,f1345,f657,f7180,f585])). 15.15/2.51 tff(f1352,plain,( 15.15/2.51 t2tb1(min_elt1(sK8)) = t2tb1(sK15) | sK5 != sK16 | (~spl30_26 | ~spl30_59)), 15.15/2.51 inference(constrained_superposition,[],[f659,f1347])). 15.15/2.51 tff(f7178,plain,( 15.15/2.51 ~spl30_218 | ~spl30_188), 15.15/2.51 inference(avatar_split_clause,[],[f7173,f6970,f7175])). 15.15/2.51 tff(f7173,plain,( 15.15/2.51 ~$less(1,sK5) | ~spl30_188), 15.15/2.51 inference(equality_resolution,[],[f6971])). 15.15/2.51 tff(f6971,plain,( 15.15/2.51 ( ! [X1 : $int] : (sK5 != X1 | ~$less(1,X1)) ) | ~spl30_188), 15.15/2.51 inference(avatar_component_clause,[],[f6970])). 15.15/2.51 tff(f7156,plain,( 15.15/2.51 ~spl30_108 | spl30_49 | spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7155,f6966,f1207,f2349])). 15.15/2.51 tff(f2349,plain,( 15.15/2.51 spl30_108 <=> sK5 = max_elt1(sK1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_108])])). 15.15/2.51 tff(f7155,plain,( 15.15/2.51 sK5 != max_elt1(sK1) | (spl30_49 | spl30_187)), 15.15/2.51 inference(forward_demodulation,[],[f7154,f309])). 15.15/2.51 tff(f7154,plain,( 15.15/2.51 sK5 != max_elt1(tb2t(t2tb(sK1))) | (spl30_49 | spl30_187)), 15.15/2.51 inference(subsumption_resolution,[],[f7141,f1208])). 15.15/2.51 tff(f7141,plain,( 15.15/2.51 sK5 != max_elt1(tb2t(t2tb(sK1))) | is_empty(int,t2tb(sK1)) | spl30_187), 15.15/2.51 inference(constrained_resolution,[],[f6967,f845])). 15.15/2.51 tff(f7153,plain,( 15.15/2.51 ~spl30_110 | spl30_49 | spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7152,f6966,f1207,f2376])). 15.15/2.51 tff(f2376,plain,( 15.15/2.51 spl30_110 <=> sK5 = min_elt1(sK1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_110])])). 15.15/2.51 tff(f7152,plain,( 15.15/2.51 sK5 != min_elt1(sK1) | (spl30_49 | spl30_187)), 15.15/2.51 inference(forward_demodulation,[],[f7151,f309])). 15.15/2.51 tff(f7151,plain,( 15.15/2.51 sK5 != min_elt1(tb2t(t2tb(sK1))) | (spl30_49 | spl30_187)), 15.15/2.51 inference(subsumption_resolution,[],[f7140,f1208])). 15.15/2.51 tff(f7140,plain,( 15.15/2.51 sK5 != min_elt1(tb2t(t2tb(sK1))) | is_empty(int,t2tb(sK1)) | spl30_187), 15.15/2.51 inference(constrained_resolution,[],[f6967,f879])). 15.15/2.51 tff(f7150,plain,( 15.15/2.51 ~spl30_108 | spl30_49 | spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7149,f6966,f1207,f2349])). 15.15/2.51 tff(f7149,plain,( 15.15/2.51 sK5 != max_elt1(sK1) | (spl30_49 | spl30_187)), 15.15/2.51 inference(subsumption_resolution,[],[f7137,f1208])). 15.15/2.51 tff(f7137,plain,( 15.15/2.51 sK5 != max_elt1(sK1) | is_empty(int,t2tb(sK1)) | spl30_187), 15.15/2.51 inference(constrained_resolution,[],[f6967,f323])). 15.15/2.51 tff(f7148,plain,( 15.15/2.51 ~spl30_110 | spl30_49 | spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7147,f6966,f1207,f2376])). 15.15/2.51 tff(f7147,plain,( 15.15/2.51 sK5 != min_elt1(sK1) | (spl30_49 | spl30_187)), 15.15/2.51 inference(subsumption_resolution,[],[f7136,f1208])). 15.15/2.51 tff(f7136,plain,( 15.15/2.51 sK5 != min_elt1(sK1) | is_empty(int,t2tb(sK1)) | spl30_187), 15.15/2.51 inference(constrained_resolution,[],[f6967,f324])). 15.15/2.51 tff(f7135,plain,( 15.15/2.51 ~spl30_216 | ~spl30_217 | spl30_124 | ~spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7102,f6966,f3414,f7132,f7128])). 15.15/2.51 tff(f7132,plain,( 15.15/2.51 spl30_217 <=> sK5 = max_elt1(sK8)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_217])])). 15.15/2.51 tff(f7102,plain,( 15.15/2.51 sK5 != max_elt1(sK8) | ~subset(int,t2tb(sK1),t2tb(sK2)) | (spl30_124 | ~spl30_187)), 15.15/2.51 inference(constrained_resolution,[],[f6968,f3469])). 15.15/2.51 tff(f6968,plain,( 15.15/2.51 mem(int,t2tb1(sK5),t2tb(sK1)) | ~spl30_187), 15.15/2.51 inference(avatar_component_clause,[],[f6966])). 15.15/2.51 tff(f7126,plain,( 15.15/2.51 ~spl30_215 | ~spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7101,f6966,f7123])). 15.15/2.51 tff(f7123,plain,( 15.15/2.51 spl30_215 <=> $less(max_elt1(sK1),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_215])])). 15.15/2.51 tff(f7101,plain,( 15.15/2.51 ~$less(max_elt1(sK1),sK5) | ~spl30_187), 15.15/2.51 inference(resolution,[],[f6968,f1478])). 15.15/2.51 tff(f7121,plain,( 15.15/2.51 ~spl30_214 | ~spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7100,f6966,f7118])). 15.15/2.51 tff(f7118,plain,( 15.15/2.51 spl30_214 <=> $less(sK5,min_elt1(sK1))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_214])])). 15.15/2.51 tff(f7100,plain,( 15.15/2.51 ~$less(sK5,min_elt1(sK1)) | ~spl30_187), 15.15/2.51 inference(resolution,[],[f6968,f1507])). 15.15/2.51 tff(f7116,plain,( 15.15/2.51 ~spl30_213 | spl30_21 | ~spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7111,f6966,f609,f7113])). 15.15/2.51 tff(f7113,plain,( 15.15/2.51 spl30_213 <=> $less(sK19(sK5),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_213])])). 15.15/2.51 tff(f7111,plain,( 15.15/2.51 ~$less(sK19(sK5),0) | (spl30_21 | ~spl30_187)), 15.15/2.51 inference(subsumption_resolution,[],[f7097,f611])). 15.15/2.51 tff(f7097,plain,( 15.15/2.51 ~$less(sK19(sK5),0) | $less(sK5,0) | ~spl30_187), 15.15/2.51 inference(resolution,[],[f6968,f1110])). 15.15/2.51 tff(f7110,plain,( 15.15/2.51 spl30_212 | spl30_21 | ~spl30_187), 15.15/2.51 inference(avatar_split_clause,[],[f7105,f6966,f609,f7107])). 15.15/2.51 tff(f7107,plain,( 15.15/2.51 spl30_212 <=> $less(sK19(sK5),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_212])])). 15.15/2.51 tff(f7105,plain,( 15.15/2.51 $less(sK19(sK5),sK5) | (spl30_21 | ~spl30_187)), 15.15/2.51 inference(subsumption_resolution,[],[f7096,f611])). 15.15/2.51 tff(f7096,plain,( 15.15/2.51 $less(sK19(sK5),sK5) | $less(sK5,0) | ~spl30_187), 15.15/2.51 inference(resolution,[],[f6968,f2317])). 15.15/2.51 tff(f7089,plain,( 15.15/2.51 spl30_209 | spl30_211 | ~spl30_30), 15.15/2.51 inference(avatar_split_clause,[],[f7041,f697,f7087,f7080])). 15.15/2.51 tff(f7087,plain,( 15.15/2.51 spl30_211 <=> ! [X7 : $int,X8 : $int] : (sK14 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X7))) | 1 != $uminus(X7) | $less(X7,0) | ~$less(X7,X8) | sK5 != X8)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_211])])). 15.15/2.51 tff(f7041,plain,( 15.15/2.51 ( ! [X3 : $int,X8 : $int,X7 : $int,X4 : $int] : (sK14 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X7))) | sK5 != X4 | sK5 != X8 | ~$less(X7,X8) | $less(X7,0) | mem(int,t2tb1(X3),t2tb(sK2)) | $less(X3,0) | sK5 != $sum(X3,X4) | 1 != $uminus(X7)) ) | ~spl30_30), 15.15/2.51 inference(constrained_superposition,[],[f1989,f699])). 15.15/2.51 tff(f7085,plain,( 15.15/2.51 spl30_209 | spl30_210 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f7040,f1847,f7083,f7080])). 15.15/2.51 tff(f7083,plain,( 15.15/2.51 spl30_210 <=> ! [X6 : $int,X5 : $int] : (n1 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X5))) | $uminus(X5) != cardinal1(int,t2tb(sK0)) | $less(X5,0) | ~$less(X5,X6) | sK5 != X6)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_210])])). 15.15/2.51 tff(f7040,plain,( 15.15/2.51 ( ! [X3 : $int,X6 : $int,X4 : $int,X5 : $int] : (n1 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X5))) | sK5 != X4 | sK5 != X6 | ~$less(X5,X6) | $less(X5,0) | mem(int,t2tb1(X3),t2tb(sK2)) | $less(X3,0) | sK5 != $sum(X3,X4) | $uminus(X5) != cardinal1(int,t2tb(sK0))) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f1989,f1849])). 15.15/2.51 tff(f7078,plain,( 15.15/2.51 spl30_206 | spl30_207 | ~spl30_208 | spl30_20 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f7067,f1012,f601,f7075,f7072,f7069])). 15.15/2.51 tff(f7069,plain,( 15.15/2.51 spl30_206 <=> ! [X2 : $int] : (sK5 != X2 | ~$less(sK3,X2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_206])])). 15.15/2.51 tff(f7072,plain,( 15.15/2.51 spl30_207 <=> ! [X0 : $int,X1 : $int] : (sK5 != X1 | mem(int,t2tb1(X0),t2tb(sK2)) | sK9 != $sum(X0,X1) | $less(X0,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_207])])). 15.15/2.51 tff(f7067,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sK7 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK3))) | sK5 != X1 | sK5 != X2 | ~$less(sK3,X2) | mem(int,t2tb1(X0),t2tb(sK2)) | $less(X0,0) | sK9 != $sum(X0,X1)) ) | (spl30_20 | ~spl30_45)), 15.15/2.51 inference(subsumption_resolution,[],[f7039,f603])). 15.15/2.51 tff(f7039,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sK7 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK3))) | sK5 != X1 | sK5 != X2 | ~$less(sK3,X2) | $less(sK3,0) | mem(int,t2tb1(X0),t2tb(sK2)) | $less(X0,0) | sK9 != $sum(X0,X1)) ) | ~spl30_45), 15.15/2.51 inference(constrained_superposition,[],[f1989,f1014])). 15.15/2.51 tff(f7066,plain,( 15.15/2.51 spl30_203 | ~spl30_204 | spl30_205 | spl30_21 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f7054,f1847,f609,f7064,f7060,f7056])). 15.15/2.51 tff(f7060,plain,( 15.15/2.51 spl30_204 <=> sK5 = cardinal1(int,t2tb(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_204])])). 15.15/2.51 tff(f7064,plain,( 15.15/2.51 spl30_205 <=> ! [X2 : $int,X1 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X1))) != $sum(n1,$uminus(X1)) | $less(X1,0) | ~$less(X1,X2) | sK5 != X2)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_205])])). 15.15/2.51 tff(f7054,plain,( 15.15/2.51 ( ! [X2 : $int,X1 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X1))) != $sum(n1,$uminus(X1)) | sK5 != cardinal1(int,t2tb(sK0)) | sK5 != X2 | ~$less(X1,X2) | $less(X1,0) | mem(int,t2tb1(sK5),t2tb(sK2))) ) | (spl30_21 | ~spl30_78)), 15.15/2.51 inference(subsumption_resolution,[],[f7038,f611])). 15.15/2.51 tff(f7038,plain,( 15.15/2.51 ( ! [X2 : $int,X1 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X1))) != $sum(n1,$uminus(X1)) | sK5 != cardinal1(int,t2tb(sK0)) | sK5 != X2 | ~$less(X1,X2) | $less(X1,0) | mem(int,t2tb1(sK5),t2tb(sK2)) | $less(sK5,0)) ) | ~spl30_78), 15.15/2.51 inference(superposition,[],[f1989,f1849])). 15.15/2.51 tff(f7025,plain,( 15.15/2.51 spl30_201 | spl30_202 | ~spl30_30), 15.15/2.51 inference(avatar_split_clause,[],[f6950,f697,f7023,f7020])). 15.15/2.51 tff(f7020,plain,( 15.15/2.51 spl30_201 <=> ! [X7 : $int] : (sK5 != X7 | 1 != $uminus(X7))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_201])])). 15.15/2.51 tff(f7023,plain,( 15.15/2.51 spl30_202 <=> ! [X4 : $int,X8 : $int,X3 : $int] : (sK14 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X4))) | mem(int,t2tb1(X3),t2tb(sK1)) | sK5 != $sum(X3,X4) | $less(X3,0) | ~$less(X4,X8) | sK5 != X8 | $less(X4,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_202])])). 15.15/2.51 tff(f6950,plain,( 15.15/2.51 ( ! [X3 : $int,X8 : $int,X7 : $int,X4 : $int] : (sK14 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X4))) | sK5 != X7 | $less(X4,0) | sK5 != X8 | ~$less(X4,X8) | mem(int,t2tb1(X3),t2tb(sK1)) | $less(X3,0) | sK5 != $sum(X3,X4) | 1 != $uminus(X7)) ) | ~spl30_30), 15.15/2.51 inference(constrained_superposition,[],[f1957,f699])). 15.15/2.51 tff(f7018,plain,( 15.15/2.51 spl30_199 | spl30_200 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f6949,f1847,f7016,f7013])). 15.15/2.51 tff(f7016,plain,( 15.15/2.51 spl30_200 <=> ! [X6 : $int,X4 : $int,X3 : $int] : (n1 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X4))) | mem(int,t2tb1(X3),t2tb(sK1)) | sK5 != $sum(X3,X4) | $less(X3,0) | ~$less(X4,X6) | sK5 != X6 | $less(X4,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_200])])). 15.15/2.51 tff(f6949,plain,( 15.15/2.51 ( ! [X3 : $int,X6 : $int,X4 : $int,X5 : $int] : (n1 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X4))) | sK5 != X5 | $less(X4,0) | sK5 != X6 | ~$less(X4,X6) | mem(int,t2tb1(X3),t2tb(sK1)) | $less(X3,0) | sK5 != $sum(X3,X4) | $uminus(X5) != cardinal1(int,t2tb(sK0))) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f1957,f1849])). 15.15/2.51 tff(f7011,plain,( 15.15/2.51 ~spl30_197 | spl30_198 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f6948,f1012,f7009,f7005])). 15.15/2.51 tff(f7005,plain,( 15.15/2.51 spl30_197 <=> sK3 = sK5), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_197])])). 15.15/2.51 tff(f7009,plain,( 15.15/2.51 spl30_198 <=> ! [X2 : $int,X0 : $int,X1 : $int] : (sK7 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X1))) | mem(int,t2tb1(X0),t2tb(sK1)) | sK9 != $sum(X0,X1) | $less(X0,0) | ~$less(X1,X2) | sK5 != X2 | $less(X1,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_198])])). 15.15/2.51 tff(f6948,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sK7 != tb2t1(get(int,int,t2tb2(sK6),t2tb1(X1))) | sK3 != sK5 | $less(X1,0) | sK5 != X2 | ~$less(X1,X2) | mem(int,t2tb1(X0),t2tb(sK1)) | $less(X0,0) | sK9 != $sum(X0,X1)) ) | ~spl30_45), 15.15/2.51 inference(constrained_superposition,[],[f1957,f1014])). 15.15/2.51 tff(f7003,plain,( 15.15/2.51 spl30_192 | spl30_193 | spl30_194 | spl30_195 | spl30_196 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f6947,f1012,f7001,f6997,f6994,f6990,f6986])). 15.15/2.51 tff(f6997,plain,( 15.15/2.51 spl30_195 <=> $less($uminus(sK3),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_195])])). 15.15/2.51 tff(f7001,plain,( 15.15/2.51 spl30_196 <=> ! [X4 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1($uminus(sK3)))) != $sum(sK7,$uminus(X4)) | sK5 != X4)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_196])])). 15.15/2.51 tff(f6947,plain,( 15.15/2.51 ( ! [X4 : $int,X5 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1($uminus(sK3)))) != $sum(sK7,$uminus(X4)) | sK5 != X4 | $less($uminus(sK3),0) | sK5 != X5 | ~$less($uminus(sK3),X5) | mem(int,t2tb1(sK9),t2tb(sK1)) | $less(sK9,0)) ) | ~spl30_45), 15.15/2.51 inference(superposition,[],[f1957,f1014])). 15.15/2.51 tff(f6984,plain,( 15.15/2.51 spl30_187 | spl30_190 | spl30_191 | spl30_21 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f6977,f1847,f609,f6982,f6979,f6966])). 15.15/2.51 tff(f6982,plain,( 15.15/2.51 spl30_191 <=> ! [X2 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(cardinal1(int,t2tb(sK0))))) != $sum(n1,$uminus(X2)) | sK5 != X2)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_191])])). 15.15/2.51 tff(f6977,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(cardinal1(int,t2tb(sK0))))) != $sum(n1,$uminus(X2)) | sK5 != X2 | sK5 != X3 | ~$less(cardinal1(int,t2tb(sK0)),X3) | mem(int,t2tb1(sK5),t2tb(sK1))) ) | (spl30_21 | ~spl30_78)), 15.15/2.51 inference(subsumption_resolution,[],[f6976,f611])). 15.15/2.51 tff(f6976,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(cardinal1(int,t2tb(sK0))))) != $sum(n1,$uminus(X2)) | sK5 != X2 | sK5 != X3 | ~$less(cardinal1(int,t2tb(sK0)),X3) | mem(int,t2tb1(sK5),t2tb(sK1)) | $less(sK5,0)) ) | ~spl30_78), 15.15/2.51 inference(subsumption_resolution,[],[f6946,f669])). 15.15/2.51 tff(f6946,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(cardinal1(int,t2tb(sK0))))) != $sum(n1,$uminus(X2)) | sK5 != X2 | $less(cardinal1(int,t2tb(sK0)),0) | sK5 != X3 | ~$less(cardinal1(int,t2tb(sK0)),X3) | mem(int,t2tb1(sK5),t2tb(sK1)) | $less(sK5,0)) ) | ~spl30_78), 15.15/2.51 inference(superposition,[],[f1957,f1849])). 15.15/2.51 tff(f6975,plain,( 15.15/2.51 spl30_187 | spl30_188 | spl30_189 | spl30_21 | ~spl30_30), 15.15/2.51 inference(avatar_split_clause,[],[f6964,f697,f609,f6973,f6970,f6966])). 15.15/2.51 tff(f6964,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(1))) != $sum(sK14,$uminus(X0)) | sK5 != X0 | sK5 != X1 | ~$less(1,X1) | mem(int,t2tb1(sK5),t2tb(sK1))) ) | (spl30_21 | ~spl30_30)), 15.15/2.51 inference(subsumption_resolution,[],[f6963,f611])). 15.15/2.51 tff(f6963,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(1))) != $sum(sK14,$uminus(X0)) | sK5 != X0 | sK5 != X1 | ~$less(1,X1) | mem(int,t2tb1(sK5),t2tb(sK1)) | $less(sK5,0)) ) | ~spl30_30), 15.15/2.51 inference(evaluation,[],[f6945])). 15.15/2.51 tff(f6945,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(1))) != $sum(sK14,$uminus(X0)) | sK5 != X0 | $less(1,0) | sK5 != X1 | ~$less(1,X1) | mem(int,t2tb1(sK5),t2tb(sK1)) | $less(sK5,0)) ) | ~spl30_30), 15.15/2.51 inference(superposition,[],[f1957,f699])). 15.15/2.51 tff(f6458,plain,( 15.15/2.51 ~spl30_185 | ~spl30_113 | ~spl30_122), 15.15/2.51 inference(avatar_split_clause,[],[f6433,f2891,f2407,f6446])). 15.15/2.51 tff(f2407,plain,( 15.15/2.51 spl30_113 <=> $less(sK20(min_elt1(sK2)),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_113])])). 15.15/2.51 tff(f6433,plain,( 15.15/2.51 0 != sK5 | (~spl30_113 | ~spl30_122)), 15.15/2.51 inference(constrained_resolution,[],[f2892,f2409])). 15.15/2.51 tff(f2409,plain,( 15.15/2.51 $less(sK20(min_elt1(sK2)),sK5) | ~spl30_113), 15.15/2.51 inference(avatar_component_clause,[],[f2407])). 15.15/2.51 tff(f2892,plain,( 15.15/2.51 ( ! [X3 : $int] : (~$less(X3,0)) ) | ~spl30_122), 15.15/2.51 inference(avatar_component_clause,[],[f2891])). 15.15/2.51 tff(f6457,plain,( 15.15/2.51 ~spl30_185 | ~spl30_112 | ~spl30_122), 15.15/2.51 inference(avatar_split_clause,[],[f6432,f2891,f2402,f6446])). 15.15/2.51 tff(f2402,plain,( 15.15/2.51 spl30_112 <=> $less(sK20(max_elt1(sK2)),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_112])])). 15.15/2.51 tff(f6432,plain,( 15.15/2.51 0 != sK5 | (~spl30_112 | ~spl30_122)), 15.15/2.51 inference(constrained_resolution,[],[f2892,f2404])). 15.15/2.51 tff(f2404,plain,( 15.15/2.51 $less(sK20(max_elt1(sK2)),sK5) | ~spl30_112), 15.15/2.51 inference(avatar_component_clause,[],[f2402])). 15.15/2.51 tff(f6456,plain,( 15.15/2.51 spl30_186 | ~spl30_185 | ~spl30_122), 15.15/2.51 inference(avatar_split_clause,[],[f6452,f2891,f6446,f6454])). 15.15/2.51 tff(f6454,plain,( 15.15/2.51 spl30_186 <=> ! [X5 : uni] : ~mem(int,X5,t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_186])])). 15.15/2.51 tff(f6452,plain,( 15.15/2.51 ( ! [X5 : uni] : (0 != sK5 | ~mem(int,X5,t2tb(sK2))) ) | ~spl30_122), 15.15/2.51 inference(subsumption_resolution,[],[f6431,f2892])). 15.15/2.51 tff(f6431,plain,( 15.15/2.51 ( ! [X5 : uni] : (0 != sK5 | ~mem(int,X5,t2tb(sK2)) | $less(tb2t1(X5),0)) ) | ~spl30_122), 15.15/2.51 inference(constrained_resolution,[],[f2892,f2399])). 15.15/2.51 tff(f2399,plain,( 15.15/2.51 ( ! [X0 : uni] : ($less(sK20(tb2t1(X0)),sK5) | ~mem(int,X0,t2tb(sK2)) | $less(tb2t1(X0),0)) )), 15.15/2.51 inference(superposition,[],[f2343,f315])). 15.15/2.51 tff(f6451,plain,( 15.15/2.51 ~spl30_185 | ~spl30_107 | ~spl30_122), 15.15/2.51 inference(avatar_split_clause,[],[f6430,f2891,f2333,f6446])). 15.15/2.51 tff(f2333,plain,( 15.15/2.51 spl30_107 <=> $less(sK19(min_elt1(sK1)),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_107])])). 15.15/2.51 tff(f6430,plain,( 15.15/2.51 0 != sK5 | (~spl30_107 | ~spl30_122)), 15.15/2.51 inference(constrained_resolution,[],[f2892,f2335])). 15.15/2.51 tff(f2335,plain,( 15.15/2.51 $less(sK19(min_elt1(sK1)),sK5) | ~spl30_107), 15.15/2.51 inference(avatar_component_clause,[],[f2333])). 15.15/2.51 tff(f6450,plain,( 15.15/2.51 ~spl30_185 | ~spl30_106 | ~spl30_122), 15.15/2.51 inference(avatar_split_clause,[],[f6429,f2891,f2328,f6446])). 15.15/2.51 tff(f2328,plain,( 15.15/2.51 spl30_106 <=> $less(sK19(max_elt1(sK1)),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_106])])). 15.15/2.51 tff(f6429,plain,( 15.15/2.51 0 != sK5 | (~spl30_106 | ~spl30_122)), 15.15/2.51 inference(constrained_resolution,[],[f2892,f2330])). 15.15/2.51 tff(f2330,plain,( 15.15/2.51 $less(sK19(max_elt1(sK1)),sK5) | ~spl30_106), 15.15/2.51 inference(avatar_component_clause,[],[f2328])). 15.15/2.51 tff(f6449,plain,( 15.15/2.51 spl30_184 | ~spl30_185 | ~spl30_122), 15.15/2.51 inference(avatar_split_clause,[],[f6441,f2891,f6446,f6443])). 15.15/2.51 tff(f6443,plain,( 15.15/2.51 spl30_184 <=> ! [X4 : uni] : ~mem(int,X4,t2tb(sK1))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_184])])). 15.15/2.51 tff(f6441,plain,( 15.15/2.51 ( ! [X4 : uni] : (0 != sK5 | ~mem(int,X4,t2tb(sK1))) ) | ~spl30_122), 15.15/2.51 inference(subsumption_resolution,[],[f6428,f2892])). 15.15/2.51 tff(f6428,plain,( 15.15/2.51 ( ! [X4 : uni] : (0 != sK5 | ~mem(int,X4,t2tb(sK1)) | $less(tb2t1(X4),0)) ) | ~spl30_122), 15.15/2.51 inference(constrained_resolution,[],[f2892,f2325])). 15.15/2.51 tff(f2325,plain,( 15.15/2.51 ( ! [X0 : uni] : ($less(sK19(tb2t1(X0)),sK5) | ~mem(int,X0,t2tb(sK1)) | $less(tb2t1(X0),0)) )), 15.15/2.51 inference(superposition,[],[f2317,f315])). 15.15/2.51 tff(f6438,plain,( 15.15/2.51 ~spl30_122 | ~spl30_138), 15.15/2.51 inference(avatar_contradiction_clause,[],[f6424])). 15.15/2.51 tff(f6424,plain,( 15.15/2.51 $false | (~spl30_122 | ~spl30_138)), 15.15/2.51 inference(resolution,[],[f2892,f3683])). 15.15/2.51 tff(f6388,plain,( 15.15/2.51 spl30_122 | spl30_183 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_179), 15.15/2.51 inference(avatar_split_clause,[],[f6384,f5860,f4452,f4283,f784,f6386,f2891])). 15.15/2.51 tff(f6384,plain,( 15.15/2.51 ( ! [X8 : uni,X9 : ty,X7 : $int] : (empty(int) != X8 | int != X9 | 0 = cardinal1(X9,X8) | ~$less(X7,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_179)), 15.15/2.51 inference(forward_demodulation,[],[f6382,f5862])). 15.15/2.51 tff(f6382,plain,( 15.15/2.51 ( ! [X8 : uni,X9 : ty,X7 : $int] : (t2tb(below1(0)) != X8 | int != X9 | 0 = cardinal1(X9,X8) | ~$less(X7,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(duplicate_literal_removal,[],[f6309])). 15.15/2.51 tff(f6309,plain,( 15.15/2.51 ( ! [X8 : uni,X9 : ty,X7 : $int] : (t2tb(below1(0)) != X8 | int != X9 | 0 = cardinal1(X9,X8) | ~$less(X7,0) | ~$less(X7,0)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(superposition,[],[f455,f5618])). 15.15/2.51 tff(f6279,plain,( 15.15/2.51 spl30_182 | spl30_169 | ~spl30_180), 15.15/2.51 inference(avatar_split_clause,[],[f6275,f5920,f5486,f6277])). 15.15/2.51 tff(f6277,plain,( 15.15/2.51 spl30_182 <=> ! [X15 : uni] : ~is_empty(int,add(int,X15,empty(int)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_182])])). 15.15/2.51 tff(f6275,plain,( 15.15/2.51 ( ! [X14 : $int,X15 : uni,X13 : $int] : (0 != X13 | 0 != X14 | $sum(1,X13) = X14 | ~is_empty(int,add(int,X15,empty(int)))) ) | ~spl30_180), 15.15/2.51 inference(subsumption_resolution,[],[f6262,f351])). 15.15/2.51 tff(f6262,plain,( 15.15/2.51 ( ! [X14 : $int,X15 : uni,X13 : $int] : (0 != X13 | 0 != X14 | $sum(1,X13) = X14 | mem(int,X15,empty(int)) | ~is_empty(int,add(int,X15,empty(int)))) ) | ~spl30_180), 15.15/2.51 inference(superposition,[],[f1740,f5922])). 15.15/2.51 tff(f1740,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (cardinal1(X0,X2) != X4 | 0 != X3 | $sum(1,X4) = X3 | mem(X0,X1,X2) | ~is_empty(X0,add(X0,X1,X2))) )), 15.15/2.51 inference(superposition,[],[f476,f349])). 15.15/2.51 tff(f476,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (cardinal1(X0,add(X0,X1,X2)) != X3 | cardinal1(X0,X2) != X4 | $sum(1,X4) = X3 | mem(X0,X1,X2)) )), 15.15/2.51 inference(theory_flattening,[],[f391])). 15.15/2.51 tff(f391,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)) | mem(X0,X1,X2)) )), 15.15/2.51 inference(cnf_transformation,[],[f184])). 15.15/2.51 tff(f184,plain,( 15.15/2.51 ! [X0 : ty,X1 : uni,X2 : uni] : (cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)) | mem(X0,X1,X2))), 15.15/2.51 inference(ennf_transformation,[],[f37])). 15.15/2.51 tff(f37,axiom,( 15.15/2.51 ! [X0 : ty,X1 : uni,X2 : uni] : (~mem(X0,X1,X2) => cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)))), 15.15/2.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal_add)). 15.15/2.51 tff(f6273,plain,( 15.15/2.51 spl30_145 | spl30_143 | ~spl30_180), 15.15/2.51 inference(avatar_split_clause,[],[f6272,f5920,f4101,f4280])). 15.15/2.51 tff(f4101,plain,( 15.15/2.51 spl30_143 <=> ! [X2 : $int,X3 : $int] : (0 != X2 | 0 != X3 | ~$less(X3,X2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_143])])). 15.15/2.51 tff(f6272,plain,( 15.15/2.51 ( ! [X10 : uni,X8 : $int,X9 : $int] : (0 != X8 | 0 != X9 | ~$less(X9,X8) | ~is_empty(int,X10)) ) | ~spl30_180), 15.15/2.51 inference(subsumption_resolution,[],[f6260,f905])). 15.15/2.51 tff(f6260,plain,( 15.15/2.51 ( ! [X10 : uni,X8 : $int,X9 : $int] : (0 != X8 | 0 != X9 | ~$less(X9,X8) | ~subset(int,empty(int),X10) | ~is_empty(int,X10)) ) | ~spl30_180), 15.15/2.51 inference(superposition,[],[f1516,f5922])). 15.15/2.51 tff(f1516,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : uni,X0 : ty,X1 : uni,X4 : $int] : (cardinal1(X0,X3) != X4 | 0 != X2 | ~$less(X2,X4) | ~subset(X0,X3,X1) | ~is_empty(X0,X1)) )), 15.15/2.51 inference(superposition,[],[f477,f349])). 15.15/2.51 tff(f6271,plain,( 15.15/2.51 spl30_148 | ~spl30_180), 15.15/2.51 inference(avatar_split_clause,[],[f6270,f5920,f4610])). 15.15/2.51 tff(f4610,plain,( 15.15/2.51 spl30_148 <=> ! [X9 : $int,X11 : $int,X10 : $int] : (0 != X9 | $less(X10,0) | X10 != X11 | ~$less(X11,X9))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_148])])). 15.15/2.51 tff(f6270,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (0 != X0 | X1 != X2 | ~$less(X2,X0) | $less(X1,0)) ) | ~spl30_180), 15.15/2.51 inference(subsumption_resolution,[],[f6254,f905])). 15.15/2.51 tff(f6254,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (0 != X0 | X1 != X2 | ~$less(X2,X0) | ~subset(int,empty(int),t2tb(below1(X1))) | $less(X1,0)) ) | ~spl30_180), 15.15/2.51 inference(superposition,[],[f1517,f5922])). 15.15/2.51 tff(f1517,plain,( 15.15/2.51 ( ! [X8 : $int,X6 : $int,X7 : uni,X5 : $int] : (cardinal1(int,X7) != X8 | X5 != X6 | ~$less(X6,X8) | ~subset(int,X7,t2tb(below1(X5))) | $less(X5,0)) )), 15.15/2.51 inference(superposition,[],[f477,f320])). 15.15/2.51 tff(f5930,plain,( 15.15/2.51 spl30_181 | ~spl30_179), 15.15/2.51 inference(avatar_split_clause,[],[f5904,f5860,f5927])). 15.15/2.51 tff(f5927,plain,( 15.15/2.51 spl30_181 <=> below1(0) = tb2t(empty(int))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_181])])). 15.15/2.51 tff(f5904,plain,( 15.15/2.51 below1(0) = tb2t(empty(int)) | ~spl30_179), 15.15/2.51 inference(superposition,[],[f309,f5862])). 15.15/2.51 tff(f5923,plain,( 15.15/2.51 spl30_180 | ~spl30_179), 15.15/2.51 inference(avatar_split_clause,[],[f5915,f5860,f5920])). 15.15/2.51 tff(f5915,plain,( 15.15/2.51 0 = cardinal1(int,empty(int)) | ~spl30_179), 15.15/2.51 inference(evaluation,[],[f5881])). 15.15/2.51 tff(f5881,plain,( 15.15/2.51 0 = cardinal1(int,empty(int)) | $less(0,0) | ~spl30_179), 15.15/2.51 inference(superposition,[],[f320,f5862])). 15.15/2.51 tff(f5863,plain,( 15.15/2.51 spl30_179 | ~spl30_178), 15.15/2.51 inference(avatar_split_clause,[],[f5858,f5719,f5860])). 15.15/2.51 tff(f5719,plain,( 15.15/2.51 spl30_178 <=> infix_eqeq(int,t2tb(below1(0)),empty(int))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_178])])). 15.15/2.51 tff(f5858,plain,( 15.15/2.51 t2tb(below1(0)) = empty(int) | ~spl30_178), 15.15/2.51 inference(subsumption_resolution,[],[f5857,f316])). 15.15/2.51 tff(f5857,plain,( 15.15/2.51 t2tb(below1(0)) = empty(int) | ~sort1(set(int),t2tb(below1(0))) | ~spl30_178), 15.15/2.51 inference(subsumption_resolution,[],[f5853,f317])). 15.15/2.51 tff(f5853,plain,( 15.15/2.51 t2tb(below1(0)) = empty(int) | ~sort1(set(int),empty(int)) | ~sort1(set(int),t2tb(below1(0))) | ~spl30_178), 15.15/2.51 inference(resolution,[],[f5721,f392])). 15.15/2.51 tff(f5721,plain,( 15.15/2.51 infix_eqeq(int,t2tb(below1(0)),empty(int)) | ~spl30_178), 15.15/2.51 inference(avatar_component_clause,[],[f5719])). 15.15/2.51 tff(f5722,plain,( 15.15/2.51 spl30_178 | ~spl30_160 | ~spl30_175), 15.15/2.51 inference(avatar_split_clause,[],[f5698,f5630,f5164,f5719])). 15.15/2.51 tff(f5698,plain,( 15.15/2.51 infix_eqeq(int,t2tb(below1(0)),empty(int)) | (~spl30_160 | ~spl30_175)), 15.15/2.51 inference(resolution,[],[f5653,f1520])). 15.15/2.51 tff(f5653,plain,( 15.15/2.51 ( ! [X0 : uni] : (~mem(int,X0,t2tb(below1(0)))) ) | (~spl30_160 | ~spl30_175)), 15.15/2.51 inference(backward_demodulation,[],[f5503,f5632])). 15.15/2.51 tff(f5669,plain,( 15.15/2.51 ~spl30_177 | spl30_174 | ~spl30_175), 15.15/2.51 inference(avatar_split_clause,[],[f5657,f5630,f5586,f5666])). 15.15/2.51 tff(f5666,plain,( 15.15/2.51 spl30_177 <=> sK8 = below1(0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_177])])). 15.15/2.51 tff(f5586,plain,( 15.15/2.51 spl30_174 <=> sK8 = succ1(below1(0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_174])])). 15.15/2.51 tff(f5657,plain,( 15.15/2.51 sK8 != below1(0) | (spl30_174 | ~spl30_175)), 15.15/2.51 inference(superposition,[],[f5588,f5632])). 15.15/2.51 tff(f5588,plain,( 15.15/2.51 sK8 != succ1(below1(0)) | spl30_174), 15.15/2.51 inference(avatar_component_clause,[],[f5586])). 15.15/2.51 tff(f5638,plain,( 15.15/2.51 spl30_176 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_161), 15.15/2.51 inference(avatar_split_clause,[],[f5626,f5243,f4452,f4283,f784,f5635])). 15.15/2.51 tff(f5243,plain,( 15.15/2.51 spl30_161 <=> is_empty(int,t2tb(pred1(below1(0))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_161])])). 15.15/2.51 tff(f5626,plain,( 15.15/2.51 below1(0) = pred1(below1(0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_161)), 15.15/2.51 inference(resolution,[],[f5168,f5245])). 15.15/2.51 tff(f5245,plain,( 15.15/2.51 is_empty(int,t2tb(pred1(below1(0)))) | ~spl30_161), 15.15/2.51 inference(avatar_component_clause,[],[f5243])). 15.15/2.51 tff(f5633,plain,( 15.15/2.51 spl30_175 | ~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_171), 15.15/2.51 inference(avatar_split_clause,[],[f5623,f5506,f4452,f4283,f784,f5630])). 15.15/2.51 tff(f5506,plain,( 15.15/2.51 spl30_171 <=> is_empty(int,t2tb(succ1(below1(0))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_171])])). 15.15/2.51 tff(f5623,plain,( 15.15/2.51 below1(0) = succ1(below1(0)) | (~spl30_39 | ~spl30_146 | ~spl30_147 | ~spl30_171)), 15.15/2.51 inference(resolution,[],[f5168,f5508])). 15.15/2.51 tff(f5508,plain,( 15.15/2.51 is_empty(int,t2tb(succ1(below1(0)))) | ~spl30_171), 15.15/2.51 inference(avatar_component_clause,[],[f5506])). 15.15/2.51 tff(f5589,plain,( 15.15/2.51 ~spl30_174 | spl30_137 | ~spl30_160), 15.15/2.51 inference(avatar_split_clause,[],[f5565,f5164,f3676,f5586])). 15.15/2.51 tff(f5565,plain,( 15.15/2.51 sK8 != succ1(below1(0)) | (spl30_137 | ~spl30_160)), 15.15/2.51 inference(constrained_resolution,[],[f5538,f3678])). 15.15/2.51 tff(f5558,plain,( 15.15/2.51 spl30_173 | ~spl30_160), 15.15/2.51 inference(avatar_split_clause,[],[f5536,f5164,f5555])). 15.15/2.51 tff(f5555,plain,( 15.15/2.51 spl30_173 <=> infix_eqeq(int,t2tb(succ1(below1(0))),empty(int))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_173])])). 15.15/2.51 tff(f5536,plain,( 15.15/2.51 infix_eqeq(int,t2tb(succ1(below1(0))),empty(int)) | ~spl30_160), 15.15/2.51 inference(resolution,[],[f5503,f1520])). 15.15/2.51 tff(f5520,plain,( 15.15/2.51 spl30_172 | spl30_169), 15.15/2.51 inference(avatar_split_clause,[],[f5514,f5486,f5518])). 15.15/2.51 tff(f5518,plain,( 15.15/2.51 spl30_172 <=> ! [X5 : $int,X8 : uni] : (~mem(int,X8,t2tb(below1(X5))) | ~$less(X5,0) | ~is_empty(int,remove(int,X8,t2tb(below1(X5)))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_172])])). 15.15/2.51 tff(f5514,plain,( 15.15/2.51 ( ! [X8 : uni,X6 : $int,X7 : $int,X5 : $int] : (0 != X6 | 0 != X7 | $sum(1,X7) = X6 | ~mem(int,X8,t2tb(below1(X5))) | ~is_empty(int,remove(int,X8,t2tb(below1(X5)))) | ~$less(X5,0)) )), 15.15/2.51 inference(superposition,[],[f1743,f2474])). 15.15/2.51 tff(f1743,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : $int,X0 : ty,X1 : uni,X4 : $int] : (cardinal1(X0,X2) != X4 | 0 != X3 | $sum(1,X3) = X4 | ~mem(X0,X1,X2) | ~is_empty(X0,remove(X0,X1,X2))) )), 15.15/2.51 inference(superposition,[],[f478,f349])). 15.15/2.51 tff(f5512,plain,( 15.15/2.51 spl30_171 | ~spl30_160), 15.15/2.51 inference(avatar_split_clause,[],[f5498,f5164,f5506])). 15.15/2.51 tff(f5498,plain,( 15.15/2.51 is_empty(int,t2tb(succ1(below1(0)))) | ~spl30_160), 15.15/2.51 inference(resolution,[],[f5165,f879])). 15.15/2.51 tff(f5511,plain,( 15.15/2.51 spl30_171 | ~spl30_160), 15.15/2.51 inference(avatar_split_clause,[],[f5497,f5164,f5506])). 15.15/2.51 tff(f5497,plain,( 15.15/2.51 is_empty(int,t2tb(succ1(below1(0)))) | ~spl30_160), 15.15/2.51 inference(resolution,[],[f5165,f845])). 15.15/2.51 tff(f5510,plain,( 15.15/2.51 spl30_171 | ~spl30_160), 15.15/2.51 inference(avatar_split_clause,[],[f5494,f5164,f5506])). 15.15/2.51 tff(f5494,plain,( 15.15/2.51 is_empty(int,t2tb(succ1(below1(0)))) | ~spl30_160), 15.15/2.51 inference(resolution,[],[f5165,f324])). 15.15/2.51 tff(f5509,plain,( 15.15/2.51 spl30_171 | ~spl30_160), 15.15/2.51 inference(avatar_split_clause,[],[f5493,f5164,f5506])). 15.15/2.51 tff(f5493,plain,( 15.15/2.51 is_empty(int,t2tb(succ1(below1(0)))) | ~spl30_160), 15.15/2.51 inference(resolution,[],[f5165,f323])). 15.15/2.51 tff(f5492,plain,( 15.15/2.51 spl30_170 | spl30_169), 15.15/2.51 inference(avatar_split_clause,[],[f5478,f5486,f5490])). 15.15/2.51 tff(f5490,plain,( 15.15/2.51 spl30_170 <=> ! [X5 : $int,X8 : uni] : (mem(int,X8,t2tb(below1(X5))) | ~$less(X5,0) | ~is_empty(int,add(int,X8,t2tb(below1(X5)))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_170])])). 15.15/2.51 tff(f5478,plain,( 15.15/2.51 ( ! [X8 : uni,X6 : $int,X7 : $int,X5 : $int] : (0 != X6 | 0 != X7 | $sum(1,X6) = X7 | mem(int,X8,t2tb(below1(X5))) | ~is_empty(int,add(int,X8,t2tb(below1(X5)))) | ~$less(X5,0)) )), 15.15/2.51 inference(superposition,[],[f1740,f2474])). 15.15/2.51 tff(f5488,plain,( 15.15/2.51 spl30_168 | spl30_169), 15.15/2.51 inference(avatar_split_clause,[],[f5481,f5486,f5483])). 15.15/2.51 tff(f5483,plain,( 15.15/2.51 spl30_168 <=> ! [X4 : uni,X0 : ty,X1 : uni] : (~is_empty(X0,add(X0,X4,X1)) | ~is_empty(X0,X1))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_168])])). 15.15/2.51 tff(f5481,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : ty,X1 : uni,X4 : uni] : (0 != X2 | 0 != X3 | $sum(1,X2) = X3 | ~is_empty(X0,add(X0,X4,X1)) | ~is_empty(X0,X1)) )), 15.15/2.51 inference(subsumption_resolution,[],[f5477,f332])). 15.15/2.51 tff(f5477,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : ty,X1 : uni,X4 : uni] : (0 != X2 | 0 != X3 | $sum(1,X2) = X3 | mem(X0,X4,X1) | ~is_empty(X0,add(X0,X4,X1)) | ~is_empty(X0,X1)) )), 15.15/2.51 inference(superposition,[],[f1740,f349])). 15.15/2.51 tff(f5474,plain,( 15.15/2.51 ~spl30_167 | spl30_137 | ~spl30_159), 15.15/2.51 inference(avatar_split_clause,[],[f5450,f5159,f3676,f5471])). 15.15/2.51 tff(f5471,plain,( 15.15/2.51 spl30_167 <=> sK8 = pred1(below1(0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_167])])). 15.15/2.51 tff(f5450,plain,( 15.15/2.51 sK8 != pred1(below1(0)) | (spl30_137 | ~spl30_159)), 15.15/2.51 inference(constrained_resolution,[],[f5407,f3678])). 15.15/2.51 tff(f5427,plain,( 15.15/2.51 spl30_166 | ~spl30_159), 15.15/2.51 inference(avatar_split_clause,[],[f5405,f5159,f5424])). 15.15/2.51 tff(f5424,plain,( 15.15/2.51 spl30_166 <=> infix_eqeq(int,t2tb(pred1(below1(0))),empty(int))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_166])])). 15.15/2.51 tff(f5405,plain,( 15.15/2.51 infix_eqeq(int,t2tb(pred1(below1(0))),empty(int)) | ~spl30_159), 15.15/2.51 inference(resolution,[],[f5240,f1520])). 15.15/2.51 tff(f5324,plain,( 15.15/2.51 spl30_128 | ~spl30_93), 15.15/2.51 inference(avatar_split_clause,[],[f5295,f2018,f3443])). 15.15/2.51 tff(f5295,plain,( 15.15/2.51 infix_eqeq(int,t2tb(sK8),empty(int)) | ~spl30_93), 15.15/2.51 inference(resolution,[],[f2019,f1520])). 15.15/2.51 tff(f2019,plain,( 15.15/2.51 ( ! [X35 : uni] : (~mem(int,X35,t2tb(sK8))) ) | ~spl30_93), 15.15/2.51 inference(avatar_component_clause,[],[f2018])). 15.15/2.51 tff(f5323,plain,( 15.15/2.51 spl30_5 | ~spl30_93), 15.15/2.51 inference(avatar_contradiction_clause,[],[f5322])). 15.15/2.51 tff(f5322,plain,( 15.15/2.51 $false | (spl30_5 | ~spl30_93)), 15.15/2.51 inference(subsumption_resolution,[],[f5292,f511])). 15.15/2.51 tff(f5292,plain,( 15.15/2.51 is_empty(int,t2tb(sK8)) | ~spl30_93), 15.15/2.51 inference(resolution,[],[f2019,f334])). 15.15/2.51 tff(f5321,plain,( 15.15/2.51 spl30_5 | ~spl30_93), 15.15/2.51 inference(avatar_contradiction_clause,[],[f5320])). 15.15/2.51 tff(f5320,plain,( 15.15/2.51 $false | (spl30_5 | ~spl30_93)), 15.15/2.51 inference(subsumption_resolution,[],[f5289,f511])). 15.15/2.51 tff(f5289,plain,( 15.15/2.51 is_empty(int,t2tb(sK8)) | ~spl30_93), 15.15/2.51 inference(resolution,[],[f2019,f335])). 15.15/2.51 tff(f5319,plain,( 15.15/2.51 spl30_5 | ~spl30_93), 15.15/2.51 inference(avatar_contradiction_clause,[],[f5318])). 15.15/2.51 tff(f5318,plain,( 15.15/2.51 $false | (spl30_5 | ~spl30_93)), 15.15/2.51 inference(subsumption_resolution,[],[f5287,f511])). 15.15/2.51 tff(f5287,plain,( 15.15/2.51 is_empty(int,t2tb(sK8)) | ~spl30_93), 15.15/2.51 inference(resolution,[],[f2019,f879])). 15.15/2.51 tff(f5317,plain,( 15.15/2.51 spl30_5 | ~spl30_93), 15.15/2.51 inference(avatar_contradiction_clause,[],[f5316])). 15.15/2.51 tff(f5316,plain,( 15.15/2.51 $false | (spl30_5 | ~spl30_93)), 15.15/2.51 inference(subsumption_resolution,[],[f5286,f511])). 15.15/2.51 tff(f5286,plain,( 15.15/2.51 is_empty(int,t2tb(sK8)) | ~spl30_93), 15.15/2.51 inference(resolution,[],[f2019,f845])). 15.15/2.51 tff(f5315,plain,( 15.15/2.51 spl30_5 | ~spl30_93), 15.15/2.51 inference(avatar_contradiction_clause,[],[f5314])). 15.15/2.51 tff(f5314,plain,( 15.15/2.51 $false | (spl30_5 | ~spl30_93)), 15.15/2.51 inference(subsumption_resolution,[],[f5283,f511])). 15.15/2.51 tff(f5283,plain,( 15.15/2.51 is_empty(int,t2tb(sK8)) | ~spl30_93), 15.15/2.51 inference(resolution,[],[f2019,f324])). 15.15/2.51 tff(f5313,plain,( 15.15/2.51 spl30_5 | ~spl30_93), 15.15/2.51 inference(avatar_contradiction_clause,[],[f5312])). 15.15/2.51 tff(f5312,plain,( 15.15/2.51 $false | (spl30_5 | ~spl30_93)), 15.15/2.51 inference(subsumption_resolution,[],[f5282,f511])). 15.15/2.51 tff(f5282,plain,( 15.15/2.51 is_empty(int,t2tb(sK8)) | ~spl30_93), 15.15/2.51 inference(resolution,[],[f2019,f323])). 15.15/2.51 tff(f5281,plain,( 15.15/2.51 spl30_92 | spl30_162 | spl30_163), 15.15/2.51 inference(avatar_split_clause,[],[f5250,f5267,f5263,f2014])). 15.15/2.51 tff(f5263,plain,( 15.15/2.51 spl30_162 <=> mem(int,t2tb1(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_162])])). 15.15/2.51 tff(f5250,plain,( 15.15/2.51 ( ! [X0 : $int] : ($less(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X0) | mem(int,t2tb1(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8)) | ~mem(int,t2tb1(X0),t2tb(sK8)) | is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) )), 15.15/2.51 inference(resolution,[],[f1661,f845])). 15.15/2.51 tff(f5280,plain,( 15.15/2.51 spl30_92 | spl30_164 | spl30_165), 15.15/2.51 inference(avatar_split_clause,[],[f5251,f5276,f5272,f2014])). 15.15/2.51 tff(f5251,plain,( 15.15/2.51 ( ! [X1 : $int] : ($less(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X1) | mem(int,t2tb1(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8)) | ~mem(int,t2tb1(X1),t2tb(sK8)) | is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) )), 15.15/2.51 inference(resolution,[],[f1661,f879])). 15.15/2.51 tff(f5278,plain,( 15.15/2.51 spl30_164 | spl30_165 | spl30_92), 15.15/2.51 inference(avatar_split_clause,[],[f5270,f2014,f5276,f5272])). 15.15/2.51 tff(f5270,plain,( 15.15/2.51 ( ! [X1 : $int] : ($less(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X1) | mem(int,t2tb1(min_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8)) | ~mem(int,t2tb1(X1),t2tb(sK8))) ) | spl30_92), 15.15/2.51 inference(subsumption_resolution,[],[f5251,f2016])). 15.15/2.51 tff(f5269,plain,( 15.15/2.51 spl30_162 | spl30_163 | spl30_92), 15.15/2.51 inference(avatar_split_clause,[],[f5261,f2014,f5267,f5263])). 15.15/2.51 tff(f5261,plain,( 15.15/2.51 ( ! [X0 : $int] : ($less(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))),X0) | mem(int,t2tb1(max_elt1(tb2t(diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))))),t2tb(sK8)) | ~mem(int,t2tb1(X0),t2tb(sK8))) ) | spl30_92), 15.15/2.51 inference(subsumption_resolution,[],[f5250,f2016])). 15.15/2.51 tff(f5249,plain,( 15.15/2.51 spl30_161 | ~spl30_159), 15.15/2.51 inference(avatar_split_clause,[],[f5235,f5159,f5243])). 15.15/2.51 tff(f5235,plain,( 15.15/2.51 is_empty(int,t2tb(pred1(below1(0)))) | ~spl30_159), 15.15/2.51 inference(resolution,[],[f5160,f879])). 15.15/2.51 tff(f5248,plain,( 15.15/2.51 spl30_161 | ~spl30_159), 15.15/2.51 inference(avatar_split_clause,[],[f5234,f5159,f5243])). 15.15/2.51 tff(f5234,plain,( 15.15/2.51 is_empty(int,t2tb(pred1(below1(0)))) | ~spl30_159), 15.15/2.51 inference(resolution,[],[f5160,f845])). 15.15/2.51 tff(f5247,plain,( 15.15/2.51 spl30_161 | ~spl30_159), 15.15/2.51 inference(avatar_split_clause,[],[f5231,f5159,f5243])). 15.15/2.51 tff(f5231,plain,( 15.15/2.51 is_empty(int,t2tb(pred1(below1(0)))) | ~spl30_159), 15.15/2.51 inference(resolution,[],[f5160,f324])). 15.15/2.51 tff(f5246,plain,( 15.15/2.51 spl30_161 | ~spl30_159), 15.15/2.51 inference(avatar_split_clause,[],[f5230,f5159,f5243])). 15.15/2.51 tff(f5230,plain,( 15.15/2.51 is_empty(int,t2tb(pred1(below1(0)))) | ~spl30_159), 15.15/2.51 inference(resolution,[],[f5160,f323])). 15.15/2.51 tff(f5166,plain,( 15.15/2.51 spl30_145 | spl30_160 | ~spl30_39 | ~spl30_146 | ~spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f5162,f4452,f4283,f784,f5164,f4280])). 15.15/2.51 tff(f5162,plain,( 15.15/2.51 ( ! [X65 : uni,X66 : $int] : (~mem(int,t2tb1(X66),t2tb(succ1(below1(0)))) | ~is_empty(int,X65)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(subsumption_resolution,[],[f5152,f332])). 15.15/2.51 tff(f5152,plain,( 15.15/2.51 ( ! [X65 : uni,X66 : $int] : (mem(int,t2tb1($sum(X66,-1)),X65) | ~mem(int,t2tb1(X66),t2tb(succ1(below1(0)))) | ~is_empty(int,X65)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(superposition,[],[f1607,f4792])). 15.15/2.51 tff(f5161,plain,( 15.15/2.51 spl30_145 | spl30_159 | ~spl30_39 | ~spl30_146 | ~spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f5157,f4452,f4283,f784,f5159,f4280])). 15.15/2.51 tff(f5157,plain,( 15.15/2.51 ( ! [X63 : uni,X64 : $int] : (~mem(int,t2tb1(X64),t2tb(pred1(below1(0)))) | ~is_empty(int,X63)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(subsumption_resolution,[],[f5151,f332])). 15.15/2.51 tff(f5151,plain,( 15.15/2.51 ( ! [X63 : uni,X64 : $int] : (mem(int,t2tb1($sum(X64,1)),X63) | ~mem(int,t2tb1(X64),t2tb(pred1(below1(0)))) | ~is_empty(int,X63)) ) | (~spl30_39 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(superposition,[],[f1586,f4792])). 15.15/2.51 tff(f5010,plain,( 15.15/2.51 spl30_54 | ~spl30_158 | spl30_124), 15.15/2.51 inference(avatar_split_clause,[],[f3464,f3414,f5006,f1241])). 15.15/2.51 tff(f1241,plain,( 15.15/2.51 spl30_54 <=> is_empty(int,t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_54])])). 15.15/2.51 tff(f5006,plain,( 15.15/2.51 spl30_158 <=> min_elt1(sK2) = max_elt1(sK8)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_158])])). 15.15/2.51 tff(f3464,plain,( 15.15/2.51 min_elt1(sK2) != max_elt1(sK8) | is_empty(int,t2tb(sK2)) | spl30_124), 15.15/2.51 inference(constrained_resolution,[],[f3416,f324])). 15.15/2.51 tff(f5009,plain,( 15.15/2.51 spl30_54 | ~spl30_158 | spl30_124), 15.15/2.51 inference(avatar_split_clause,[],[f5004,f3414,f5006,f1241])). 15.15/2.51 tff(f5004,plain,( 15.15/2.51 min_elt1(sK2) != max_elt1(sK8) | is_empty(int,t2tb(sK2)) | spl30_124), 15.15/2.51 inference(forward_demodulation,[],[f3466,f309])). 15.15/2.51 tff(f3466,plain,( 15.15/2.51 min_elt1(tb2t(t2tb(sK2))) != max_elt1(sK8) | is_empty(int,t2tb(sK2)) | spl30_124), 15.15/2.51 inference(constrained_resolution,[],[f3416,f879])). 15.15/2.51 tff(f5002,plain,( 15.15/2.51 spl30_54 | ~spl30_157 | spl30_125), 15.15/2.51 inference(avatar_split_clause,[],[f3474,f3420,f4998,f1241])). 15.15/2.51 tff(f4998,plain,( 15.15/2.51 spl30_157 <=> min_elt1(sK8) = max_elt1(sK2)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_157])])). 15.15/2.51 tff(f3474,plain,( 15.15/2.51 min_elt1(sK8) != max_elt1(sK2) | is_empty(int,t2tb(sK2)) | spl30_125), 15.15/2.51 inference(constrained_resolution,[],[f3422,f323])). 15.15/2.51 tff(f5001,plain,( 15.15/2.51 spl30_54 | ~spl30_157 | spl30_125), 15.15/2.51 inference(avatar_split_clause,[],[f4996,f3420,f4998,f1241])). 15.15/2.51 tff(f4996,plain,( 15.15/2.51 min_elt1(sK8) != max_elt1(sK2) | is_empty(int,t2tb(sK2)) | spl30_125), 15.15/2.51 inference(forward_demodulation,[],[f3476,f309])). 15.15/2.51 tff(f3476,plain,( 15.15/2.51 min_elt1(sK8) != max_elt1(tb2t(t2tb(sK2))) | is_empty(int,t2tb(sK2)) | spl30_125), 15.15/2.51 inference(constrained_resolution,[],[f3422,f845])). 15.15/2.51 tff(f4994,plain,( 15.15/2.51 spl30_145 | spl30_156 | ~spl30_54 | ~spl30_146 | ~spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4990,f4452,f4283,f1241,f4992,f4280])). 15.15/2.51 tff(f4992,plain,( 15.15/2.51 spl30_156 <=> ! [X35 : $int] : ~mem(int,t2tb1(X35),t2tb(succ1(sK2)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_156])])). 15.15/2.51 tff(f4990,plain,( 15.15/2.51 ( ! [X34 : uni,X35 : $int] : (~mem(int,t2tb1(X35),t2tb(succ1(sK2))) | ~is_empty(int,X34)) ) | (~spl30_54 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(subsumption_resolution,[],[f4980,f332])). 15.15/2.51 tff(f4980,plain,( 15.15/2.51 ( ! [X34 : uni,X35 : $int] : (mem(int,t2tb1($sum(X35,-1)),X34) | ~mem(int,t2tb1(X35),t2tb(succ1(sK2))) | ~is_empty(int,X34)) ) | (~spl30_54 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(superposition,[],[f1607,f4801])). 15.15/2.51 tff(f4801,plain,( 15.15/2.51 ( ! [X16 : uni] : (t2tb(sK2) = X16 | ~is_empty(int,X16)) ) | (~spl30_54 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(resolution,[],[f4764,f1243])). 15.15/2.51 tff(f1243,plain,( 15.15/2.51 is_empty(int,t2tb(sK2)) | ~spl30_54), 15.15/2.51 inference(avatar_component_clause,[],[f1241])). 15.15/2.51 tff(f4989,plain,( 15.15/2.51 spl30_145 | spl30_155 | ~spl30_54 | ~spl30_146 | ~spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4985,f4452,f4283,f1241,f4987,f4280])). 15.15/2.51 tff(f4987,plain,( 15.15/2.51 spl30_155 <=> ! [X33 : $int] : ~mem(int,t2tb1(X33),t2tb(pred1(sK2)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_155])])). 15.15/2.51 tff(f4985,plain,( 15.15/2.51 ( ! [X32 : uni,X33 : $int] : (~mem(int,t2tb1(X33),t2tb(pred1(sK2))) | ~is_empty(int,X32)) ) | (~spl30_54 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(subsumption_resolution,[],[f4979,f332])). 15.15/2.51 tff(f4979,plain,( 15.15/2.51 ( ! [X32 : uni,X33 : $int] : (mem(int,t2tb1($sum(X33,1)),X32) | ~mem(int,t2tb1(X33),t2tb(pred1(sK2))) | ~is_empty(int,X32)) ) | (~spl30_54 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(superposition,[],[f1586,f4801])). 15.15/2.51 tff(f4984,plain,( 15.15/2.51 spl30_145 | ~spl30_54 | spl30_134 | ~spl30_146 | ~spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4983,f4452,f4283,f3584,f1241,f4280])). 15.15/2.51 tff(f3584,plain,( 15.15/2.51 spl30_134 <=> t2tb(sK2) = empty(int)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_134])])). 15.15/2.51 tff(f4983,plain,( 15.15/2.51 ( ! [X21 : uni] : (~is_empty(int,X21)) ) | (~spl30_54 | spl30_134 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(subsumption_resolution,[],[f4970,f3275])). 15.15/2.51 tff(f4970,plain,( 15.15/2.51 ( ! [X21 : uni] : (empty(int) != X21 | ~is_empty(int,X21)) ) | (~spl30_54 | spl30_134 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(superposition,[],[f3586,f4801])). 15.15/2.51 tff(f3586,plain,( 15.15/2.51 t2tb(sK2) != empty(int) | spl30_134), 15.15/2.51 inference(avatar_component_clause,[],[f3584])). 15.15/2.51 tff(f4910,plain,( 15.15/2.51 spl30_145 | spl30_154 | ~spl30_49 | ~spl30_146 | ~spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4906,f4452,f4283,f1207,f4908,f4280])). 15.15/2.51 tff(f4908,plain,( 15.15/2.51 spl30_154 <=> ! [X28 : $int] : ~mem(int,t2tb1(X28),t2tb(succ1(sK1)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_154])])). 15.15/2.51 tff(f4906,plain,( 15.15/2.51 ( ! [X28 : $int,X27 : uni] : (~mem(int,t2tb1(X28),t2tb(succ1(sK1))) | ~is_empty(int,X27)) ) | (~spl30_49 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(subsumption_resolution,[],[f4898,f332])). 15.15/2.51 tff(f4898,plain,( 15.15/2.51 ( ! [X28 : $int,X27 : uni] : (mem(int,t2tb1($sum(X28,-1)),X27) | ~mem(int,t2tb1(X28),t2tb(succ1(sK1))) | ~is_empty(int,X27)) ) | (~spl30_49 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(superposition,[],[f1607,f4800])). 15.15/2.51 tff(f4800,plain,( 15.15/2.51 ( ! [X15 : uni] : (t2tb(sK1) = X15 | ~is_empty(int,X15)) ) | (~spl30_49 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(resolution,[],[f4764,f1209])). 15.15/2.51 tff(f1209,plain,( 15.15/2.51 is_empty(int,t2tb(sK1)) | ~spl30_49), 15.15/2.51 inference(avatar_component_clause,[],[f1207])). 15.15/2.51 tff(f4905,plain,( 15.15/2.51 spl30_145 | spl30_153 | ~spl30_49 | ~spl30_146 | ~spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4901,f4452,f4283,f1207,f4903,f4280])). 15.15/2.51 tff(f4903,plain,( 15.15/2.51 spl30_153 <=> ! [X26 : $int] : ~mem(int,t2tb1(X26),t2tb(pred1(sK1)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_153])])). 15.15/2.51 tff(f4901,plain,( 15.15/2.51 ( ! [X26 : $int,X25 : uni] : (~mem(int,t2tb1(X26),t2tb(pred1(sK1))) | ~is_empty(int,X25)) ) | (~spl30_49 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(subsumption_resolution,[],[f4897,f332])). 15.15/2.51 tff(f4897,plain,( 15.15/2.51 ( ! [X26 : $int,X25 : uni] : (mem(int,t2tb1($sum(X26,1)),X25) | ~mem(int,t2tb1(X26),t2tb(pred1(sK1))) | ~is_empty(int,X25)) ) | (~spl30_49 | ~spl30_146 | ~spl30_147)), 15.15/2.51 inference(superposition,[],[f1586,f4800])). 15.15/2.51 tff(f4871,plain,( 15.15/2.51 spl30_151 | spl30_152), 15.15/2.51 inference(avatar_split_clause,[],[f4825,f4869,f4865])). 15.15/2.51 tff(f4869,plain,( 15.15/2.51 spl30_152 <=> ! [X14 : $int] : (~mem(int,t2tb1(X14),t2tb(sK8)) | $less(tb2t1(sK25(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int))),X14))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_152])])). 15.15/2.51 tff(f4825,plain,( 15.15/2.51 ( ! [X14 : $int] : (~mem(int,t2tb1(X14),t2tb(sK8)) | $less(tb2t1(sK25(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int))),X14) | infix_eqeq(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)),empty(int))) )), 15.15/2.51 inference(resolution,[],[f1665,f1520])). 15.15/2.51 tff(f4863,plain,( 15.15/2.51 spl30_70 | spl30_150), 15.15/2.51 inference(avatar_split_clause,[],[f4822,f4861,f1671])). 15.15/2.51 tff(f1671,plain,( 15.15/2.51 spl30_70 <=> is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_70])])). 15.15/2.51 tff(f4861,plain,( 15.15/2.51 spl30_150 <=> ! [X9 : $int] : (~mem(int,t2tb1(X9),t2tb(sK8)) | $less(tb2t1(sK21(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X9))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_150])])). 15.15/2.51 tff(f4822,plain,( 15.15/2.51 ( ! [X9 : $int] : (~mem(int,t2tb1(X9),t2tb(sK8)) | $less(tb2t1(sK21(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X9) | is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.51 inference(resolution,[],[f1665,f334])). 15.15/2.51 tff(f4859,plain,( 15.15/2.51 spl30_70 | spl30_149), 15.15/2.51 inference(avatar_split_clause,[],[f4819,f4857,f1671])). 15.15/2.51 tff(f4857,plain,( 15.15/2.51 spl30_149 <=> ! [X4 : $int] : (~mem(int,t2tb1(X4),t2tb(sK8)) | $less(tb2t1(choose(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X4))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_149])])). 15.15/2.51 tff(f4819,plain,( 15.15/2.51 ( ! [X4 : $int] : (~mem(int,t2tb1(X4),t2tb(sK8)) | $less(tb2t1(choose(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X4) | is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.51 inference(resolution,[],[f1665,f335])). 15.15/2.51 tff(f4855,plain,( 15.15/2.51 spl30_70 | spl30_72), 15.15/2.51 inference(avatar_split_clause,[],[f4854,f1679,f1671])). 15.15/2.51 tff(f1679,plain,( 15.15/2.51 spl30_72 <=> ! [X1 : $int] : (~mem(int,t2tb1(X1),t2tb(sK8)) | $less(min_elt1(tb2t(diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X1))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_72])])). 15.15/2.51 tff(f4854,plain,( 15.15/2.51 ( ! [X1 : $int] : ($less(min_elt1(tb2t(diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X1) | ~mem(int,t2tb1(X1),t2tb(sK8)) | is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.51 inference(forward_demodulation,[],[f4817,f312])). 15.15/2.51 tff(f4817,plain,( 15.15/2.51 ( ! [X1 : $int] : (~mem(int,t2tb1(X1),t2tb(sK8)) | $less(tb2t1(t2tb1(min_elt1(tb2t(diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))))),X1) | is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.51 inference(resolution,[],[f1665,f879])). 15.15/2.51 tff(f4853,plain,( 15.15/2.51 spl30_70 | spl30_71), 15.15/2.51 inference(avatar_split_clause,[],[f4852,f1675,f1671])). 15.15/2.51 tff(f1675,plain,( 15.15/2.51 spl30_71 <=> ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK8)) | $less(max_elt1(tb2t(diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_71])])). 15.15/2.51 tff(f4852,plain,( 15.15/2.51 ( ! [X0 : $int] : ($less(max_elt1(tb2t(diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X0) | ~mem(int,t2tb1(X0),t2tb(sK8)) | is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.51 inference(forward_demodulation,[],[f4816,f312])). 15.15/2.51 tff(f4816,plain,( 15.15/2.51 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK8)) | $less(tb2t1(t2tb1(max_elt1(tb2t(diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))))),X0) | is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.51 inference(resolution,[],[f1665,f845])). 15.15/2.51 tff(f4640,plain,( 15.15/2.51 spl30_122 | ~spl30_145), 15.15/2.51 inference(avatar_split_clause,[],[f4614,f4280,f2891])). 15.15/2.51 tff(f4614,plain,( 15.15/2.51 ( ! [X0 : $int] : (~$less(X0,0)) ) | ~spl30_145), 15.15/2.51 inference(resolution,[],[f4281,f2483])). 15.15/2.51 tff(f4281,plain,( 15.15/2.51 ( ! [X21 : uni] : (~is_empty(int,X21)) ) | ~spl30_145), 15.15/2.51 inference(avatar_component_clause,[],[f4280])). 15.15/2.51 tff(f4639,plain,( 15.15/2.51 ~spl30_39 | ~spl30_145), 15.15/2.51 inference(avatar_contradiction_clause,[],[f4613])). 15.15/2.51 tff(f4613,plain,( 15.15/2.51 $false | (~spl30_39 | ~spl30_145)), 15.15/2.51 inference(resolution,[],[f4281,f786])). 15.15/2.51 tff(f4638,plain,( 15.15/2.51 ~spl30_49 | ~spl30_145), 15.15/2.51 inference(avatar_contradiction_clause,[],[f4621])). 15.15/2.51 tff(f4621,plain,( 15.15/2.51 $false | (~spl30_49 | ~spl30_145)), 15.15/2.51 inference(resolution,[],[f4281,f1209])). 15.15/2.51 tff(f4637,plain,( 15.15/2.51 ~spl30_54 | ~spl30_145), 15.15/2.51 inference(avatar_contradiction_clause,[],[f4622])). 15.15/2.51 tff(f4622,plain,( 15.15/2.51 $false | (~spl30_54 | ~spl30_145)), 15.15/2.51 inference(resolution,[],[f4281,f1243])). 15.15/2.51 tff(f4636,plain,( 15.15/2.51 ~spl30_145), 15.15/2.51 inference(avatar_contradiction_clause,[],[f4625])). 15.15/2.51 tff(f4625,plain,( 15.15/2.51 $false | ~spl30_145), 15.15/2.51 inference(resolution,[],[f4281,f306])). 15.15/2.51 tff(f4635,plain,( 15.15/2.51 ~spl30_145), 15.15/2.51 inference(avatar_contradiction_clause,[],[f4627])). 15.15/2.51 tff(f4627,plain,( 15.15/2.51 $false | ~spl30_145), 15.15/2.51 inference(resolution,[],[f4281,f2997])). 15.15/2.51 tff(f2997,plain,( 15.15/2.51 ( ! [X8 : ty,X9 : uni] : (is_empty(X8,inter(X8,X9,empty(X8)))) )), 15.15/2.51 inference(resolution,[],[f950,f351])). 15.15/2.51 tff(f950,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : ty,X1 : uni] : (mem(X0,sK21(X0,inter(X0,X1,X2)),X2) | is_empty(X0,inter(X0,X1,X2))) )), 15.15/2.51 inference(resolution,[],[f420,f334])). 15.15/2.51 tff(f4634,plain,( 15.15/2.51 ~spl30_145), 15.15/2.51 inference(avatar_contradiction_clause,[],[f4630])). 15.15/2.51 tff(f4630,plain,( 15.15/2.51 $false | ~spl30_145), 15.15/2.51 inference(resolution,[],[f4281,f3047])). 15.15/2.51 tff(f3047,plain,( 15.15/2.51 ( ! [X8 : ty,X9 : uni] : (is_empty(X8,inter(X8,empty(X8),X9))) )), 15.15/2.51 inference(resolution,[],[f996,f351])). 15.15/2.51 tff(f996,plain,( 15.15/2.51 ( ! [X2 : ty,X3 : uni,X4 : uni] : (mem(X2,sK21(X2,inter(X2,X3,X4)),X3) | is_empty(X2,inter(X2,X3,X4))) )), 15.15/2.51 inference(resolution,[],[f421,f334])). 15.15/2.51 tff(f4633,plain,( 15.15/2.51 ~spl30_145), 15.15/2.51 inference(avatar_contradiction_clause,[],[f4632])). 15.15/2.51 tff(f4632,plain,( 15.15/2.51 $false | ~spl30_145), 15.15/2.51 inference(resolution,[],[f4281,f2936])). 15.15/2.51 tff(f4612,plain,( 15.15/2.51 spl30_145 | spl30_148), 15.15/2.51 inference(avatar_split_clause,[],[f4608,f4610,f4280])). 15.15/2.51 tff(f4608,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int,X8 : uni,X9 : $int] : (0 != X9 | X10 != X11 | ~$less(X11,X9) | $less(X10,0) | ~is_empty(int,X8)) )), 15.15/2.51 inference(subsumption_resolution,[],[f4606,f906])). 15.15/2.51 tff(f4606,plain,( 15.15/2.51 ( ! [X10 : $int,X11 : $int,X8 : uni,X9 : $int] : (0 != X9 | X10 != X11 | ~$less(X11,X9) | ~subset(int,X8,t2tb(below1(X10))) | $less(X10,0) | ~is_empty(int,X8)) )), 15.15/2.51 inference(superposition,[],[f1517,f349])). 15.15/2.51 tff(f4518,plain,( 15.15/2.51 spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4450,f4452])). 15.15/2.51 tff(f4450,plain,( 15.15/2.51 ( ! [X14 : uni,X13 : uni] : (~mem(int,X13,inter(int,empty(int),X14))) )), 15.15/2.51 inference(global_subsumption,[],[f4449])). 15.15/2.51 tff(f4449,plain,( 15.15/2.51 ( ! [X11 : uni,X12 : uni] : (~mem(int,X11,inter(int,empty(int),X12))) )), 15.15/2.51 inference(global_subsumption,[],[f4429])). 15.15/2.51 tff(f4429,plain,( 15.15/2.51 ( ! [X0 : uni,X1 : uni] : (~mem(int,X0,inter(int,empty(int),X1))) )), 15.15/2.51 inference(resolution,[],[f4428,f1691])). 15.15/2.51 tff(f4517,plain,( 15.15/2.51 spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4449,f4452])). 15.15/2.51 tff(f4485,plain,( 15.15/2.51 spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4429,f4452])). 15.15/2.51 tff(f4457,plain,( 15.15/2.51 spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4456,f4452])). 15.15/2.51 tff(f4456,plain,( 15.15/2.51 ( ! [X24 : uni,X25 : uni] : (~mem(int,X24,inter(int,empty(int),X25))) )), 15.15/2.51 inference(subsumption_resolution,[],[f4440,f613])). 15.15/2.51 tff(f4440,plain,( 15.15/2.51 ( ! [X24 : uni,X25 : uni] : (~mem(int,X24,inter(int,empty(int),X25)) | ~sort1(int,X24)) )), 15.15/2.51 inference(resolution,[],[f4428,f1070])). 15.15/2.51 tff(f4455,plain,( 15.15/2.51 spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4439,f4452])). 15.15/2.51 tff(f4439,plain,( 15.15/2.51 ( ! [X22 : uni,X23 : uni] : (~mem(int,X22,inter(int,empty(int),X23))) )), 15.15/2.51 inference(resolution,[],[f4428,f1069])). 15.15/2.51 tff(f4454,plain,( 15.15/2.51 spl30_145 | spl30_147), 15.15/2.51 inference(avatar_split_clause,[],[f4438,f4452,f4280])). 15.15/2.51 tff(f4438,plain,( 15.15/2.51 ( ! [X21 : uni,X19 : uni,X20 : uni] : (~mem(int,X19,inter(int,empty(int),X20)) | ~is_empty(int,X21)) )), 15.15/2.51 inference(resolution,[],[f4428,f1068])). 15.15/2.51 tff(f4306,plain,( 15.15/2.51 spl30_146), 15.15/2.51 inference(avatar_split_clause,[],[f4278,f4283])). 15.15/2.51 tff(f4278,plain,( 15.15/2.51 ( ! [X14 : uni,X13 : uni] : (~mem(int,X13,inter(int,X14,empty(int)))) )), 15.15/2.51 inference(global_subsumption,[],[f4277])). 15.15/2.51 tff(f4277,plain,( 15.15/2.51 ( ! [X11 : uni,X12 : uni] : (~mem(int,X11,inter(int,X12,empty(int)))) )), 15.15/2.51 inference(global_subsumption,[],[f4259])). 15.15/2.51 tff(f4259,plain,( 15.15/2.51 ( ! [X0 : uni,X1 : uni] : (~mem(int,X0,inter(int,X1,empty(int)))) )), 15.15/2.51 inference(resolution,[],[f4258,f1691])). 15.15/2.51 tff(f4305,plain,( 15.15/2.51 spl30_146), 15.15/2.51 inference(avatar_split_clause,[],[f4277,f4283])). 15.15/2.51 tff(f4294,plain,( 15.15/2.51 spl30_146), 15.15/2.51 inference(avatar_split_clause,[],[f4259,f4283])). 15.15/2.51 tff(f4288,plain,( 15.15/2.51 spl30_146), 15.15/2.51 inference(avatar_split_clause,[],[f4287,f4283])). 15.15/2.51 tff(f4287,plain,( 15.15/2.51 ( ! [X24 : uni,X25 : uni] : (~mem(int,X24,inter(int,X25,empty(int)))) )), 15.15/2.51 inference(subsumption_resolution,[],[f4270,f613])). 15.15/2.51 tff(f4270,plain,( 15.15/2.51 ( ! [X24 : uni,X25 : uni] : (~mem(int,X24,inter(int,X25,empty(int))) | ~sort1(int,X24)) )), 15.15/2.51 inference(resolution,[],[f4258,f1070])). 15.15/2.51 tff(f4286,plain,( 15.15/2.51 spl30_146), 15.15/2.51 inference(avatar_split_clause,[],[f4269,f4283])). 15.15/2.51 tff(f4269,plain,( 15.15/2.51 ( ! [X22 : uni,X23 : uni] : (~mem(int,X22,inter(int,X23,empty(int)))) )), 15.15/2.51 inference(resolution,[],[f4258,f1069])). 15.15/2.51 tff(f4285,plain,( 15.15/2.51 spl30_145 | spl30_146), 15.15/2.51 inference(avatar_split_clause,[],[f4268,f4283,f4280])). 15.15/2.51 tff(f4268,plain,( 15.15/2.51 ( ! [X21 : uni,X19 : uni,X20 : uni] : (~mem(int,X19,inter(int,X20,empty(int))) | ~is_empty(int,X21)) )), 15.15/2.51 inference(resolution,[],[f4258,f1068])). 15.15/2.51 tff(f4107,plain,( 15.15/2.51 spl30_144 | spl30_143), 15.15/2.51 inference(avatar_split_clause,[],[f4093,f4101,f4105])). 15.15/2.51 tff(f4105,plain,( 15.15/2.51 spl30_144 <=> ! [X5 : $int,X8 : uni] : (~subset(int,t2tb(below1(X5)),X8) | ~$less(X5,0) | ~is_empty(int,X8))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_144])])). 15.15/2.51 tff(f4093,plain,( 15.15/2.51 ( ! [X8 : uni,X6 : $int,X7 : $int,X5 : $int] : (0 != X6 | 0 != X7 | ~$less(X7,X6) | ~subset(int,t2tb(below1(X5)),X8) | ~is_empty(int,X8) | ~$less(X5,0)) )), 15.15/2.51 inference(superposition,[],[f1516,f2474])). 15.15/2.51 tff(f4103,plain,( 15.15/2.51 spl30_142 | spl30_143), 15.15/2.51 inference(avatar_split_clause,[],[f4096,f4101,f4098])). 15.15/2.51 tff(f4098,plain,( 15.15/2.51 spl30_142 <=> ! [X4 : uni,X0 : ty,X1 : uni] : (~is_empty(X0,X4) | ~is_empty(X0,X1))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_142])])). 15.15/2.51 tff(f4096,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : ty,X1 : uni,X4 : uni] : (0 != X2 | 0 != X3 | ~$less(X3,X2) | ~is_empty(X0,X4) | ~is_empty(X0,X1)) )), 15.15/2.51 inference(subsumption_resolution,[],[f4092,f906])). 15.15/2.51 tff(f4092,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : ty,X1 : uni,X4 : uni] : (0 != X2 | 0 != X3 | ~$less(X3,X2) | ~subset(X0,X1,X4) | ~is_empty(X0,X4) | ~is_empty(X0,X1)) )), 15.15/2.51 inference(superposition,[],[f1516,f349])). 15.15/2.51 tff(f3731,plain,( 15.15/2.51 ~spl30_133 | spl30_137), 15.15/2.51 inference(avatar_split_clause,[],[f3721,f3676,f3580])). 15.15/2.51 tff(f3580,plain,( 15.15/2.51 spl30_133 <=> infix_eqeq(int,t2tb(sK8),t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_133])])). 15.15/2.51 tff(f3721,plain,( 15.15/2.51 ~infix_eqeq(int,t2tb(sK8),t2tb(sK2)) | spl30_137), 15.15/2.51 inference(resolution,[],[f3678,f3151])). 15.15/2.51 tff(f3730,plain,( 15.15/2.51 ~spl30_141 | spl30_137), 15.15/2.51 inference(avatar_split_clause,[],[f3720,f3676,f3727])). 15.15/2.51 tff(f3727,plain,( 15.15/2.51 spl30_141 <=> infix_eqeq(int,t2tb(sK2),t2tb(sK8))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_141])])). 15.15/2.51 tff(f3720,plain,( 15.15/2.51 ~infix_eqeq(int,t2tb(sK2),t2tb(sK8)) | spl30_137), 15.15/2.51 inference(resolution,[],[f3678,f3303])). 15.15/2.51 tff(f3695,plain,( 15.15/2.51 spl30_139 | spl30_138 | spl30_124), 15.15/2.51 inference(avatar_split_clause,[],[f3694,f3414,f3681,f3685])). 15.15/2.51 tff(f3685,plain,( 15.15/2.51 spl30_139 <=> ! [X5 : $int] : (~subset(int,t2tb(below1(X5)),t2tb(sK2)) | ~$less(max_elt1(sK8),X5))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_139])])). 15.15/2.51 tff(f3694,plain,( 15.15/2.51 ( ! [X8 : $int] : ($less(max_elt1(sK8),0) | ~$less(max_elt1(sK8),X8) | ~subset(int,t2tb(below1(X8)),t2tb(sK2))) ) | spl30_124), 15.15/2.51 inference(forward_demodulation,[],[f3693,f312])). 15.15/2.51 tff(f3693,plain,( 15.15/2.51 ( ! [X8 : $int] : (~$less(max_elt1(sK8),X8) | ~subset(int,t2tb(below1(X8)),t2tb(sK2)) | $less(tb2t1(t2tb1(max_elt1(sK8))),0)) ) | spl30_124), 15.15/2.51 inference(forward_demodulation,[],[f3653,f312])). 15.15/2.51 tff(f3653,plain,( 15.15/2.51 ( ! [X8 : $int] : (~subset(int,t2tb(below1(X8)),t2tb(sK2)) | ~$less(tb2t1(t2tb1(max_elt1(sK8))),X8) | $less(tb2t1(t2tb1(max_elt1(sK8))),0)) ) | spl30_124), 15.15/2.51 inference(resolution,[],[f3469,f1121])). 15.15/2.51 tff(f1121,plain,( 15.15/2.51 ( ! [X0 : uni,X1 : $int] : (mem(int,X0,t2tb(below1(X1))) | ~$less(tb2t1(X0),X1) | $less(tb2t1(X0),0)) )), 15.15/2.51 inference(superposition,[],[f355,f315])). 15.15/2.51 tff(f3692,plain,( 15.15/2.51 ~spl30_140 | ~spl30_136 | ~spl30_61 | spl30_124), 15.15/2.51 inference(avatar_split_clause,[],[f3650,f3414,f1431,f3670,f3689])). 15.15/2.51 tff(f3670,plain,( 15.15/2.51 spl30_136 <=> sK15 = max_elt1(sK8)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_136])])). 15.15/2.51 tff(f3650,plain,( 15.15/2.51 sK15 != max_elt1(sK8) | ~subset(int,t2tb(sK0),t2tb(sK2)) | (~spl30_61 | spl30_124)), 15.15/2.51 inference(constrained_resolution,[],[f3469,f1433])). 15.15/2.51 tff(f3687,plain,( 15.15/2.51 spl30_138 | spl30_139 | spl30_124), 15.15/2.51 inference(avatar_split_clause,[],[f3649,f3414,f3685,f3681])). 15.15/2.51 tff(f3649,plain,( 15.15/2.51 ( ! [X5 : $int] : (~subset(int,t2tb(below1(X5)),t2tb(sK2)) | ~$less(max_elt1(sK8),X5) | $less(max_elt1(sK8),0)) ) | spl30_124), 15.15/2.51 inference(resolution,[],[f3469,f355])). 15.15/2.51 tff(f3679,plain,( 15.15/2.51 ~spl30_137 | spl30_5 | spl30_124), 15.15/2.51 inference(avatar_split_clause,[],[f3674,f3414,f509,f3676])). 15.15/2.51 tff(f3674,plain,( 15.15/2.51 ~subset(int,t2tb(sK8),t2tb(sK2)) | (spl30_5 | spl30_124)), 15.15/2.51 inference(subsumption_resolution,[],[f3646,f511])). 15.15/2.51 tff(f3646,plain,( 15.15/2.51 ~subset(int,t2tb(sK8),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | spl30_124), 15.15/2.51 inference(resolution,[],[f3469,f323])). 15.15/2.51 tff(f3673,plain,( 15.15/2.51 ~spl30_135 | ~spl30_136 | ~spl30_3 | spl30_124), 15.15/2.51 inference(avatar_split_clause,[],[f3644,f3414,f499,f3670,f3666])). 15.15/2.51 tff(f3666,plain,( 15.15/2.51 spl30_135 <=> subset(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)),t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_135])])). 15.15/2.51 tff(f3644,plain,( 15.15/2.51 sK15 != max_elt1(sK8) | ~subset(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)),t2tb(sK2)) | (~spl30_3 | spl30_124)), 15.15/2.51 inference(constrained_resolution,[],[f3469,f501])). 15.15/2.51 tff(f3587,plain,( 15.15/2.51 spl30_132 | spl30_133 | ~spl30_134 | spl30_129), 15.15/2.51 inference(avatar_split_clause,[],[f3557,f3447,f3584,f3580,f3576])). 15.15/2.51 tff(f3576,plain,( 15.15/2.51 spl30_132 <=> mem(int,sK25(int,t2tb(sK8),t2tb(sK2)),t2tb(sK8))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_132])])). 15.15/2.51 tff(f3447,plain,( 15.15/2.51 spl30_129 <=> mem(int,sK25(int,t2tb(sK8),empty(int)),t2tb(sK2))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_129])])). 15.15/2.51 tff(f3557,plain,( 15.15/2.51 t2tb(sK2) != empty(int) | infix_eqeq(int,t2tb(sK8),t2tb(sK2)) | mem(int,sK25(int,t2tb(sK8),t2tb(sK2)),t2tb(sK8)) | spl30_129), 15.15/2.51 inference(constrained_resolution,[],[f3449,f378])). 15.15/2.51 tff(f3449,plain,( 15.15/2.51 ~mem(int,sK25(int,t2tb(sK8),empty(int)),t2tb(sK2)) | spl30_129), 15.15/2.51 inference(avatar_component_clause,[],[f3447])). 15.15/2.51 tff(f3574,plain,( 15.15/2.51 spl30_130 | ~spl30_131 | spl30_129), 15.15/2.51 inference(avatar_split_clause,[],[f3573,f3447,f3569,f3565])). 15.15/2.51 tff(f3565,plain,( 15.15/2.51 spl30_130 <=> infix_eqeq(int,t2tb(sK2),empty(int))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_130])])). 15.15/2.51 tff(f3569,plain,( 15.15/2.51 spl30_131 <=> sK2 = sK8), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_131])])). 15.15/2.51 tff(f3573,plain,( 15.15/2.51 sK2 != sK8 | infix_eqeq(int,t2tb(sK2),empty(int)) | spl30_129), 15.15/2.51 inference(subsumption_resolution,[],[f3556,f306])). 15.15/2.51 tff(f3556,plain,( 15.15/2.51 sK2 != sK8 | infix_eqeq(int,t2tb(sK2),empty(int)) | ~is_empty(int,empty(int)) | spl30_129), 15.15/2.51 inference(constrained_resolution,[],[f3449,f1519])). 15.15/2.51 tff(f3572,plain,( 15.15/2.51 spl30_130 | ~spl30_131 | spl30_129), 15.15/2.51 inference(avatar_split_clause,[],[f3555,f3447,f3569,f3565])). 15.15/2.51 tff(f3555,plain,( 15.15/2.51 sK2 != sK8 | infix_eqeq(int,t2tb(sK2),empty(int)) | spl30_129), 15.15/2.51 inference(constrained_resolution,[],[f3449,f1520])). 15.15/2.51 tff(f3450,plain,( 15.15/2.51 spl30_128 | ~spl30_129 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f3402,f514,f3447,f3443])). 15.15/2.51 tff(f3402,plain,( 15.15/2.51 ~mem(int,sK25(int,t2tb(sK8),empty(int)),t2tb(sK2)) | infix_eqeq(int,t2tb(sK8),empty(int)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3388,f1520])). 15.15/2.51 tff(f3441,plain,( 15.15/2.51 ~spl30_127 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f3436,f514,f509,f3438])). 15.15/2.51 tff(f3436,plain,( 15.15/2.51 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK2)) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f3399,f511])). 15.15/2.51 tff(f3399,plain,( 15.15/2.51 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3388,f334])). 15.15/2.51 tff(f3435,plain,( 15.15/2.51 ~spl30_126 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f3430,f514,f509,f3432])). 15.15/2.51 tff(f3430,plain,( 15.15/2.51 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK2)) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f3396,f511])). 15.15/2.51 tff(f3396,plain,( 15.15/2.51 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3388,f335])). 15.15/2.51 tff(f3429,plain,( 15.15/2.51 ~spl30_125 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f3428,f514,f509,f3420])). 15.15/2.51 tff(f3428,plain,( 15.15/2.51 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2)) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(forward_demodulation,[],[f3427,f309])). 15.15/2.51 tff(f3427,plain,( 15.15/2.51 ~mem(int,t2tb1(min_elt1(tb2t(t2tb(sK8)))),t2tb(sK2)) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f3394,f511])). 15.15/2.51 tff(f3394,plain,( 15.15/2.51 ~mem(int,t2tb1(min_elt1(tb2t(t2tb(sK8)))),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3388,f879])). 15.15/2.51 tff(f3426,plain,( 15.15/2.51 ~spl30_124 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f3425,f514,f509,f3414])). 15.15/2.51 tff(f3425,plain,( 15.15/2.51 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2)) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(forward_demodulation,[],[f3424,f309])). 15.15/2.51 tff(f3424,plain,( 15.15/2.51 ~mem(int,t2tb1(max_elt1(tb2t(t2tb(sK8)))),t2tb(sK2)) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f3393,f511])). 15.15/2.51 tff(f3393,plain,( 15.15/2.51 ~mem(int,t2tb1(max_elt1(tb2t(t2tb(sK8)))),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3388,f845])). 15.15/2.51 tff(f3423,plain,( 15.15/2.51 ~spl30_125 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f3418,f514,f509,f3420])). 15.15/2.51 tff(f3418,plain,( 15.15/2.51 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2)) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f3392,f511])). 15.15/2.51 tff(f3392,plain,( 15.15/2.51 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3388,f324])). 15.15/2.51 tff(f3417,plain,( 15.15/2.51 ~spl30_124 | spl30_5 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f3412,f514,f509,f3414])). 15.15/2.51 tff(f3412,plain,( 15.15/2.51 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2)) | (spl30_5 | ~spl30_6)), 15.15/2.51 inference(subsumption_resolution,[],[f3391,f511])). 15.15/2.51 tff(f3391,plain,( 15.15/2.51 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f3388,f323])). 15.15/2.51 tff(f2994,plain,( 15.15/2.51 ~spl30_123 | ~spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f2989,f499,f2991])). 15.15/2.51 tff(f2991,plain,( 15.15/2.51 spl30_123 <=> sK0 = below1(sK15)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_123])])). 15.15/2.51 tff(f2989,plain,( 15.15/2.51 sK0 != below1(sK15) | ~spl30_3), 15.15/2.51 inference(forward_demodulation,[],[f2982,f312])). 15.15/2.51 tff(f2982,plain,( 15.15/2.51 sK0 != below1(tb2t1(t2tb1(sK15))) | ~spl30_3), 15.15/2.51 inference(constrained_resolution,[],[f2466,f501])). 15.15/2.51 tff(f2466,plain,( 15.15/2.51 ( ! [X8 : uni,X7 : uni] : (~mem(int,X7,remove(int,X8,t2tb(below1(tb2t1(X7)))))) )), 15.15/2.51 inference(resolution,[],[f1691,f371])). 15.15/2.51 tff(f2893,plain,( 15.15/2.51 spl30_122 | spl30_121), 15.15/2.51 inference(avatar_split_clause,[],[f2884,f2887,f2891])). 15.15/2.51 tff(f2887,plain,( 15.15/2.51 spl30_121 <=> ! [X2 : $int] : (~$less(0,X2) | ~$less(X2,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_121])])). 15.15/2.51 tff(f2884,plain,( 15.15/2.51 ( ! [X3 : $int,X4 : $int] : (~$less(0,X4) | ~$less(X4,0) | ~$less(X3,0)) )), 15.15/2.51 inference(superposition,[],[f2654,f2474])). 15.15/2.51 tff(f2654,plain,( 15.15/2.51 ( ! [X2 : uni,X0 : $int,X1 : ty] : (~$less(cardinal1(X1,X2),X0) | ~$less(X0,0)) )), 15.15/2.51 inference(resolution,[],[f2595,f669])). 15.15/2.51 tff(f2889,plain,( 15.15/2.51 spl30_27 | spl30_121), 15.15/2.51 inference(avatar_split_clause,[],[f2883,f2887,f671])). 15.15/2.51 tff(f671,plain,( 15.15/2.51 spl30_27 <=> ! [X0 : ty,X1 : uni] : ~is_empty(X0,X1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_27])])). 15.15/2.51 tff(f2883,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : ty,X1 : uni] : (~$less(0,X2) | ~$less(X2,0) | ~is_empty(X0,X1)) )), 15.15/2.51 inference(superposition,[],[f2654,f349])). 15.15/2.51 tff(f2725,plain,( 15.15/2.51 ~spl30_120 | spl30_19 | ~spl30_23), 15.15/2.51 inference(avatar_split_clause,[],[f2719,f634,f590,f2722])). 15.15/2.51 tff(f2719,plain,( 15.15/2.51 ~$less(sK14,0) | (spl30_19 | ~spl30_23)), 15.15/2.51 inference(resolution,[],[f2671,f636])). 15.15/2.51 tff(f2704,plain,( 15.15/2.51 ~spl30_119 | spl30_48 | ~spl30_60), 15.15/2.51 inference(avatar_split_clause,[],[f2698,f1395,f1161,f2701])). 15.15/2.51 tff(f2701,plain,( 15.15/2.51 spl30_119 <=> $less(n1,0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_119])])). 15.15/2.51 tff(f1161,plain,( 15.15/2.51 spl30_48 <=> $less(sK15,0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_48])])). 15.15/2.51 tff(f1395,plain,( 15.15/2.51 spl30_60 <=> $less(sK15,n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_60])])). 15.15/2.51 tff(f2698,plain,( 15.15/2.51 ~$less(n1,0) | (spl30_48 | ~spl30_60)), 15.15/2.51 inference(resolution,[],[f2670,f1397])). 15.15/2.51 tff(f1397,plain,( 15.15/2.51 $less(sK15,n1) | ~spl30_60), 15.15/2.51 inference(avatar_component_clause,[],[f1395])). 15.15/2.51 tff(f2670,plain,( 15.15/2.51 ( ! [X25 : $int] : (~$less(sK15,X25) | ~$less(X25,0)) ) | spl30_48), 15.15/2.51 inference(resolution,[],[f2595,f1163])). 15.15/2.51 tff(f1163,plain,( 15.15/2.51 ~$less(sK15,0) | spl30_48), 15.15/2.51 inference(avatar_component_clause,[],[f1161])). 15.15/2.51 tff(f2574,plain,( 15.15/2.51 ~spl30_118 | spl30_104 | ~spl30_114), 15.15/2.51 inference(avatar_split_clause,[],[f2558,f2512,f2210,f2571])). 15.15/2.51 tff(f2571,plain,( 15.15/2.51 spl30_118 <=> sK16 = tb2t1(sK25(int,t2tb(sK0),empty(int)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_118])])). 15.15/2.51 tff(f2210,plain,( 15.15/2.51 spl30_104 <=> $less(sK16,n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_104])])). 15.15/2.51 tff(f2512,plain,( 15.15/2.51 spl30_114 <=> $less(tb2t1(sK25(int,t2tb(sK0),empty(int))),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_114])])). 15.15/2.51 tff(f2558,plain,( 15.15/2.51 sK16 != tb2t1(sK25(int,t2tb(sK0),empty(int))) | (spl30_104 | ~spl30_114)), 15.15/2.51 inference(constrained_resolution,[],[f2514,f2212])). 15.15/2.51 tff(f2212,plain,( 15.15/2.51 ~$less(sK16,n1) | spl30_104), 15.15/2.51 inference(avatar_component_clause,[],[f2210])). 15.15/2.51 tff(f2514,plain,( 15.15/2.51 $less(tb2t1(sK25(int,t2tb(sK0),empty(int))),n1) | ~spl30_114), 15.15/2.51 inference(avatar_component_clause,[],[f2512])). 15.15/2.51 tff(f2569,plain,( 15.15/2.51 ~spl30_117 | spl30_105 | ~spl30_114), 15.15/2.51 inference(avatar_split_clause,[],[f2557,f2512,f2241,f2566])). 15.15/2.51 tff(f2566,plain,( 15.15/2.51 spl30_117 <=> sK5 = tb2t1(sK25(int,t2tb(sK0),empty(int)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_117])])). 15.15/2.51 tff(f2557,plain,( 15.15/2.51 sK5 != tb2t1(sK25(int,t2tb(sK0),empty(int))) | (spl30_105 | ~spl30_114)), 15.15/2.51 inference(constrained_resolution,[],[f2514,f2243])). 15.15/2.51 tff(f2538,plain,( 15.15/2.51 spl30_47 | ~spl30_115), 15.15/2.51 inference(avatar_contradiction_clause,[],[f2537])). 15.15/2.51 tff(f2537,plain,( 15.15/2.51 $false | (spl30_47 | ~spl30_115)), 15.15/2.51 inference(subsumption_resolution,[],[f2536,f316])). 15.15/2.51 tff(f2536,plain,( 15.15/2.51 ~sort1(set(int),t2tb(sK0)) | (spl30_47 | ~spl30_115)), 15.15/2.51 inference(subsumption_resolution,[],[f2535,f317])). 15.15/2.51 tff(f2535,plain,( 15.15/2.51 ~sort1(set(int),empty(int)) | ~sort1(set(int),t2tb(sK0)) | (spl30_47 | ~spl30_115)), 15.15/2.51 inference(subsumption_resolution,[],[f2532,f1105])). 15.15/2.51 tff(f1105,plain,( 15.15/2.51 t2tb(sK0) != empty(int) | spl30_47), 15.15/2.51 inference(avatar_component_clause,[],[f1103])). 15.15/2.51 tff(f1103,plain,( 15.15/2.51 spl30_47 <=> t2tb(sK0) = empty(int)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_47])])). 15.15/2.51 tff(f2532,plain,( 15.15/2.51 t2tb(sK0) = empty(int) | ~sort1(set(int),empty(int)) | ~sort1(set(int),t2tb(sK0)) | ~spl30_115), 15.15/2.51 inference(resolution,[],[f2518,f392])). 15.15/2.51 tff(f2518,plain,( 15.15/2.51 infix_eqeq(int,t2tb(sK0),empty(int)) | ~spl30_115), 15.15/2.51 inference(avatar_component_clause,[],[f2516])). 15.15/2.51 tff(f2524,plain,( 15.15/2.51 ~spl30_116 | spl30_115), 15.15/2.51 inference(avatar_split_clause,[],[f2503,f2516,f2521])). 15.15/2.51 tff(f2521,plain,( 15.15/2.51 spl30_116 <=> $less(tb2t1(sK25(int,t2tb(sK0),empty(int))),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_116])])). 15.15/2.51 tff(f2503,plain,( 15.15/2.51 infix_eqeq(int,t2tb(sK0),empty(int)) | ~$less(tb2t1(sK25(int,t2tb(sK0),empty(int))),0)), 15.15/2.51 inference(resolution,[],[f1520,f627])). 15.15/2.51 tff(f2519,plain,( 15.15/2.51 spl30_114 | spl30_115), 15.15/2.51 inference(avatar_split_clause,[],[f2502,f2516,f2512])). 15.15/2.51 tff(f2502,plain,( 15.15/2.51 infix_eqeq(int,t2tb(sK0),empty(int)) | $less(tb2t1(sK25(int,t2tb(sK0),empty(int))),n1)), 15.15/2.51 inference(resolution,[],[f1520,f733])). 15.15/2.51 tff(f2416,plain,( 15.15/2.51 spl30_54 | spl30_113 | spl30_57), 15.15/2.51 inference(avatar_split_clause,[],[f2415,f1254,f2407,f1241])). 15.15/2.51 tff(f1254,plain,( 15.15/2.51 spl30_57 <=> $less(min_elt1(sK2),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_57])])). 15.15/2.51 tff(f2415,plain,( 15.15/2.51 $less(min_elt1(sK2),0) | $less(sK20(min_elt1(sK2)),sK5) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(forward_demodulation,[],[f2414,f309])). 15.15/2.51 tff(f2414,plain,( 15.15/2.51 $less(sK20(min_elt1(sK2)),sK5) | $less(min_elt1(tb2t(t2tb(sK2))),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(forward_demodulation,[],[f2395,f309])). 15.15/2.51 tff(f2395,plain,( 15.15/2.51 $less(sK20(min_elt1(tb2t(t2tb(sK2)))),sK5) | $less(min_elt1(tb2t(t2tb(sK2))),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(resolution,[],[f2343,f879])). 15.15/2.51 tff(f2413,plain,( 15.15/2.51 spl30_54 | spl30_112 | spl30_55), 15.15/2.51 inference(avatar_split_clause,[],[f2412,f1245,f2402,f1241])). 15.15/2.51 tff(f1245,plain,( 15.15/2.51 spl30_55 <=> $less(max_elt1(sK2),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_55])])). 15.15/2.51 tff(f2412,plain,( 15.15/2.51 $less(max_elt1(sK2),0) | $less(sK20(max_elt1(sK2)),sK5) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(forward_demodulation,[],[f2411,f309])). 15.15/2.51 tff(f2411,plain,( 15.15/2.51 $less(sK20(max_elt1(sK2)),sK5) | $less(max_elt1(tb2t(t2tb(sK2))),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(forward_demodulation,[],[f2394,f309])). 15.15/2.51 tff(f2394,plain,( 15.15/2.51 $less(sK20(max_elt1(tb2t(t2tb(sK2)))),sK5) | $less(max_elt1(tb2t(t2tb(sK2))),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(resolution,[],[f2343,f845])). 15.15/2.51 tff(f2410,plain,( 15.15/2.51 spl30_54 | spl30_57 | spl30_113), 15.15/2.51 inference(avatar_split_clause,[],[f2393,f2407,f1254,f1241])). 15.15/2.51 tff(f2393,plain,( 15.15/2.51 $less(sK20(min_elt1(sK2)),sK5) | $less(min_elt1(sK2),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(resolution,[],[f2343,f324])). 15.15/2.51 tff(f2405,plain,( 15.15/2.51 spl30_54 | spl30_55 | spl30_112), 15.15/2.51 inference(avatar_split_clause,[],[f2392,f2402,f1245,f1241])). 15.15/2.51 tff(f2392,plain,( 15.15/2.51 $less(sK20(max_elt1(sK2)),sK5) | $less(max_elt1(sK2),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(resolution,[],[f2343,f323])). 15.15/2.51 tff(f2385,plain,( 15.15/2.51 ~spl30_111 | ~spl30_52 | ~spl30_73), 15.15/2.51 inference(avatar_split_clause,[],[f2380,f1717,f1220,f2382])). 15.15/2.51 tff(f2382,plain,( 15.15/2.51 spl30_111 <=> sK16 = min_elt1(sK1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_111])])). 15.15/2.51 tff(f1220,plain,( 15.15/2.51 spl30_52 <=> $less(min_elt1(sK1),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_52])])). 15.15/2.51 tff(f2380,plain,( 15.15/2.51 sK16 != min_elt1(sK1) | (~spl30_52 | ~spl30_73)), 15.15/2.51 inference(subsumption_resolution,[],[f2370,f1004])). 15.15/2.51 tff(f1004,plain,( 15.15/2.51 ( ! [X0 : map_int_int] : (partial_solution1(0,X0)) )), 15.15/2.51 inference(duplicate_literal_removal,[],[f1003])). 15.15/2.51 tff(f1003,plain,( 15.15/2.51 ( ! [X0 : map_int_int] : (partial_solution1(0,X0) | partial_solution1(0,X0)) )), 15.15/2.51 inference(resolution,[],[f1002,f1000])). 15.15/2.51 tff(f1000,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : map_int_int] : ($less(sK22(X0,X1),X0) | partial_solution1(X0,X1)) )), 15.15/2.51 inference(equality_resolution,[],[f462])). 15.15/2.51 tff(f462,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : map_int_int] : (sK22(X0,X1) != X2 | partial_solution1(X0,X1) | $less(X2,X0)) )), 15.15/2.51 inference(theory_flattening,[],[f345])). 15.15/2.51 tff(f345,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) | $less(sK22(X0,X1),X0)) )), 15.15/2.51 inference(cnf_transformation,[],[f226])). 15.15/2.51 tff(f1002,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : map_int_int] : (~$less(sK22(X0,X1),0) | partial_solution1(X0,X1)) )), 15.15/2.51 inference(equality_resolution,[],[f463])). 15.15/2.51 tff(f463,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : $int,X1 : map_int_int] : (sK22(X0,X1) != X2 | partial_solution1(X0,X1) | ~$less(X2,0)) )), 15.15/2.51 inference(theory_flattening,[],[f344])). 15.15/2.51 tff(f344,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) | ~$less(sK22(X0,X1),0)) )), 15.15/2.51 inference(cnf_transformation,[],[f226])). 15.15/2.51 tff(f2370,plain,( 15.15/2.51 sK16 != min_elt1(sK1) | ~partial_solution1(0,sK13) | (~spl30_52 | ~spl30_73)), 15.15/2.51 inference(constrained_resolution,[],[f1222,f1718])). 15.15/2.51 tff(f1222,plain,( 15.15/2.51 $less(min_elt1(sK1),0) | ~spl30_52), 15.15/2.51 inference(avatar_component_clause,[],[f1220])). 15.15/2.51 tff(f2379,plain,( 15.15/2.51 ~spl30_110 | ~spl30_52 | ~spl30_75), 15.15/2.51 inference(avatar_split_clause,[],[f2374,f1726,f1220,f2376])). 15.15/2.51 tff(f2374,plain,( 15.15/2.51 sK5 != min_elt1(sK1) | (~spl30_52 | ~spl30_75)), 15.15/2.51 inference(subsumption_resolution,[],[f2369,f1004])). 15.15/2.51 tff(f2369,plain,( 15.15/2.51 sK5 != min_elt1(sK1) | ~partial_solution1(0,sK13) | (~spl30_52 | ~spl30_75)), 15.15/2.51 inference(constrained_resolution,[],[f1222,f1727])). 15.15/2.51 tff(f1727,plain,( 15.15/2.51 ( ! [X3 : $int] : (~$less(sK5,X3) | ~partial_solution1(X3,sK13)) ) | ~spl30_75), 15.15/2.51 inference(avatar_component_clause,[],[f1726])). 15.15/2.51 tff(f2358,plain,( 15.15/2.51 ~spl30_109 | ~spl30_50 | ~spl30_73), 15.15/2.51 inference(avatar_split_clause,[],[f2353,f1717,f1211,f2355])). 15.15/2.51 tff(f2355,plain,( 15.15/2.51 spl30_109 <=> sK16 = max_elt1(sK1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_109])])). 15.15/2.51 tff(f1211,plain,( 15.15/2.51 spl30_50 <=> $less(max_elt1(sK1),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_50])])). 15.15/2.51 tff(f2353,plain,( 15.15/2.51 sK16 != max_elt1(sK1) | (~spl30_50 | ~spl30_73)), 15.15/2.51 inference(subsumption_resolution,[],[f2345,f1004])). 15.15/2.51 tff(f2345,plain,( 15.15/2.51 sK16 != max_elt1(sK1) | ~partial_solution1(0,sK13) | (~spl30_50 | ~spl30_73)), 15.15/2.51 inference(constrained_resolution,[],[f1213,f1718])). 15.15/2.51 tff(f1213,plain,( 15.15/2.51 $less(max_elt1(sK1),0) | ~spl30_50), 15.15/2.51 inference(avatar_component_clause,[],[f1211])). 15.15/2.51 tff(f2352,plain,( 15.15/2.51 ~spl30_108 | ~spl30_50 | ~spl30_75), 15.15/2.51 inference(avatar_split_clause,[],[f2347,f1726,f1211,f2349])). 15.15/2.51 tff(f2347,plain,( 15.15/2.51 sK5 != max_elt1(sK1) | (~spl30_50 | ~spl30_75)), 15.15/2.51 inference(subsumption_resolution,[],[f2344,f1004])). 15.15/2.51 tff(f2344,plain,( 15.15/2.51 sK5 != max_elt1(sK1) | ~partial_solution1(0,sK13) | (~spl30_50 | ~spl30_75)), 15.15/2.51 inference(constrained_resolution,[],[f1213,f1727])). 15.15/2.51 tff(f2342,plain,( 15.15/2.51 spl30_49 | spl30_107 | spl30_52), 15.15/2.51 inference(avatar_split_clause,[],[f2341,f1220,f2333,f1207])). 15.15/2.51 tff(f2341,plain,( 15.15/2.51 $less(min_elt1(sK1),0) | $less(sK19(min_elt1(sK1)),sK5) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(forward_demodulation,[],[f2340,f309])). 15.15/2.51 tff(f2340,plain,( 15.15/2.51 $less(sK19(min_elt1(sK1)),sK5) | $less(min_elt1(tb2t(t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(forward_demodulation,[],[f2321,f309])). 15.15/2.51 tff(f2321,plain,( 15.15/2.51 $less(sK19(min_elt1(tb2t(t2tb(sK1)))),sK5) | $less(min_elt1(tb2t(t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(resolution,[],[f2317,f879])). 15.15/2.51 tff(f2339,plain,( 15.15/2.51 spl30_49 | spl30_106 | spl30_50), 15.15/2.51 inference(avatar_split_clause,[],[f2338,f1211,f2328,f1207])). 15.15/2.51 tff(f2338,plain,( 15.15/2.51 $less(max_elt1(sK1),0) | $less(sK19(max_elt1(sK1)),sK5) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(forward_demodulation,[],[f2337,f309])). 15.15/2.51 tff(f2337,plain,( 15.15/2.51 $less(sK19(max_elt1(sK1)),sK5) | $less(max_elt1(tb2t(t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(forward_demodulation,[],[f2320,f309])). 15.15/2.51 tff(f2320,plain,( 15.15/2.51 $less(sK19(max_elt1(tb2t(t2tb(sK1)))),sK5) | $less(max_elt1(tb2t(t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(resolution,[],[f2317,f845])). 15.15/2.51 tff(f2336,plain,( 15.15/2.51 spl30_49 | spl30_52 | spl30_107), 15.15/2.51 inference(avatar_split_clause,[],[f2319,f2333,f1220,f1207])). 15.15/2.51 tff(f2319,plain,( 15.15/2.51 $less(sK19(min_elt1(sK1)),sK5) | $less(min_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(resolution,[],[f2317,f324])). 15.15/2.51 tff(f2331,plain,( 15.15/2.51 spl30_49 | spl30_50 | spl30_106), 15.15/2.51 inference(avatar_split_clause,[],[f2318,f2328,f1211,f1207])). 15.15/2.51 tff(f2318,plain,( 15.15/2.51 $less(sK19(max_elt1(sK1)),sK5) | $less(max_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(resolution,[],[f2317,f323])). 15.15/2.51 tff(f2244,plain,( 15.15/2.51 ~spl30_105 | ~spl30_102), 15.15/2.51 inference(avatar_split_clause,[],[f2239,f2202,f2241])). 15.15/2.51 tff(f2239,plain,( 15.15/2.51 ~$less(sK5,n1) | ~spl30_102), 15.15/2.51 inference(equality_resolution,[],[f2203])). 15.15/2.51 tff(f2203,plain,( 15.15/2.51 ( ! [X5 : $int] : (n1 != X5 | ~$less(sK5,X5)) ) | ~spl30_102), 15.15/2.51 inference(avatar_component_clause,[],[f2202])). 15.15/2.51 tff(f2224,plain,( 15.15/2.51 ~spl30_80 | ~spl30_23 | spl30_104), 15.15/2.51 inference(avatar_split_clause,[],[f2223,f2210,f634,f1869])). 15.15/2.51 tff(f2223,plain,( 15.15/2.51 n1 != sK14 | (~spl30_23 | spl30_104)), 15.15/2.51 inference(constrained_resolution,[],[f2212,f636])). 15.15/2.51 tff(f2213,plain,( 15.15/2.51 ~spl30_104 | ~spl30_100), 15.15/2.51 inference(avatar_split_clause,[],[f2208,f2193,f2210])). 15.15/2.51 tff(f2208,plain,( 15.15/2.51 ~$less(sK16,n1) | ~spl30_100), 15.15/2.51 inference(equality_resolution,[],[f2194])). 15.15/2.51 tff(f2194,plain,( 15.15/2.51 ( ! [X1 : $int] : (n1 != X1 | ~$less(sK16,X1)) ) | ~spl30_100), 15.15/2.51 inference(avatar_component_clause,[],[f2193])). 15.15/2.51 tff(f2207,plain,( 15.15/2.51 spl30_102 | spl30_103 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f2200,f1345,f609,f2205,f2202])). 15.15/2.51 tff(f2200,plain,( 15.15/2.51 ( ! [X6 : map_int_int,X7 : $int,X4 : $int,X5 : $int] : (min_elt1(sK8) != X4 | n1 != X5 | ~$less(sK5,X5) | tb2t1(get(int,int,t2tb2(X6),t2tb1(sK5))) != X7 | lt_sol1(X6,sK13) | ~$less(X7,X4) | ~eq_prefix1(int,t2tb2(X6),t2tb2(sK13),sK5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f2199,f312])). 15.15/2.51 tff(f2199,plain,( 15.15/2.51 ( ! [X6 : map_int_int,X7 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X4 | n1 != X5 | ~$less(sK5,X5) | tb2t1(get(int,int,t2tb2(X6),t2tb1(sK5))) != X7 | lt_sol1(X6,sK13) | ~$less(X7,X4) | ~eq_prefix1(int,t2tb2(X6),t2tb2(sK13),sK5)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f2184,f611])). 15.15/2.51 tff(f2184,plain,( 15.15/2.51 ( ! [X6 : map_int_int,X7 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X4 | $less(sK5,0) | n1 != X5 | ~$less(sK5,X5) | tb2t1(get(int,int,t2tb2(X6),t2tb1(sK5))) != X7 | lt_sol1(X6,sK13) | ~$less(X7,X4) | ~eq_prefix1(int,t2tb2(X6),t2tb2(sK13),sK5)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f475,f1347])). 15.15/2.51 tff(f2198,plain,( 15.15/2.51 spl30_100 | spl30_101 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f2191,f657,f590,f2196,f2193])). 15.15/2.51 tff(f2196,plain,( 15.15/2.51 spl30_101 <=> ! [X2 : map_int_int,X0 : $int,X3 : $int] : (sK15 != X0 | ~eq_prefix1(int,t2tb2(X2),t2tb2(sK13),sK16) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | ~$less(X3,X0) | lt_sol1(X2,sK13))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_101])])). 15.15/2.51 tff(f2191,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(X2,sK13) | ~$less(X3,X0) | ~eq_prefix1(int,t2tb2(X2),t2tb2(sK13),sK16)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f2190,f312])). 15.15/2.51 tff(f2190,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(X2,sK13) | ~$less(X3,X0) | ~eq_prefix1(int,t2tb2(X2),t2tb2(sK13),sK16)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f2183,f592])). 15.15/2.51 tff(f2183,plain,( 15.15/2.51 ( ! [X2 : map_int_int,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | $less(sK16,0) | n1 != X1 | ~$less(sK16,X1) | tb2t1(get(int,int,t2tb2(X2),t2tb1(sK16))) != X3 | lt_sol1(X2,sK13) | ~$less(X3,X0) | ~eq_prefix1(int,t2tb2(X2),t2tb2(sK13),sK16)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f475,f659])). 15.15/2.51 tff(f2157,plain,( 15.15/2.51 ~spl30_96 | spl30_97 | ~spl30_98 | ~spl30_99 | ~spl30_1 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f2134,f1345,f489,f2154,f2150,f2146,f2142])). 15.15/2.51 tff(f2142,plain,( 15.15/2.51 spl30_96 <=> partial_solution1(n1,sK13)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_96])])). 15.15/2.51 tff(f2146,plain,( 15.15/2.51 spl30_97 <=> eq_prefix1(int,t2tb2(sK13),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(sK13))),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_97])])). 15.15/2.51 tff(f2150,plain,( 15.15/2.51 spl30_98 <=> eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_98])])). 15.15/2.51 tff(f2134,plain,( 15.15/2.51 ~mem(int,t2tb1(min_elt1(sK8)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK5) | eq_prefix1(int,t2tb2(sK13),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(sK13))),n1) | ~partial_solution1(n1,sK13) | (~spl30_1 | ~spl30_59)), 15.15/2.51 inference(superposition,[],[f2126,f1347])). 15.15/2.51 tff(f2101,plain,( 15.15/2.51 ~spl30_95 | spl30_92), 15.15/2.51 inference(avatar_split_clause,[],[f2096,f2014,f2098])). 15.15/2.51 tff(f2098,plain,( 15.15/2.51 spl30_95 <=> is_empty(int,diff(int,t2tb(sK0),t2tb(sK1)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_95])])). 15.15/2.51 tff(f2096,plain,( 15.15/2.51 ~is_empty(int,diff(int,t2tb(sK0),t2tb(sK1))) | spl30_92), 15.15/2.51 inference(resolution,[],[f2086,f2016])). 15.15/2.51 tff(f2086,plain,( 15.15/2.51 ( ! [X0 : uni,X1 : uni] : (is_empty(int,diff(int,X0,X1)) | ~is_empty(int,X0)) )), 15.15/2.51 inference(resolution,[],[f2010,f845])). 15.15/2.51 tff(f2010,plain,( 15.15/2.51 ( ! [X28 : uni,X29 : uni,X27 : ty,X30 : uni] : (~mem(X27,X28,diff(X27,X29,X30)) | ~is_empty(X27,X29)) )), 15.15/2.51 inference(resolution,[],[f1068,f372])). 15.15/2.51 tff(f2038,plain,( 15.15/2.51 ~spl30_94 | spl30_92), 15.15/2.51 inference(avatar_split_clause,[],[f2029,f2014,f2034])). 15.15/2.51 tff(f2034,plain,( 15.15/2.51 spl30_94 <=> diff(int,t2tb(sK0),t2tb(sK1)) = empty(int)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_94])])). 15.15/2.51 tff(f2029,plain,( 15.15/2.51 diff(int,t2tb(sK0),t2tb(sK1)) != empty(int) | spl30_92), 15.15/2.51 inference(constrained_resolution,[],[f2016,f1126])). 15.15/2.51 tff(f1126,plain,( 15.15/2.51 ( ! [X2 : uni,X1 : ty] : (is_empty(X1,diff(X1,empty(X1),X2))) )), 15.15/2.51 inference(resolution,[],[f1092,f334])). 15.15/2.51 tff(f1092,plain,( 15.15/2.51 ( ! [X10 : ty,X11 : uni,X12 : uni] : (~mem(X10,X11,diff(X10,empty(X10),X12))) )), 15.15/2.51 inference(resolution,[],[f1069,f372])). 15.15/2.51 tff(f2037,plain,( 15.15/2.51 ~spl30_94 | spl30_92), 15.15/2.51 inference(avatar_split_clause,[],[f2028,f2014,f2034])). 15.15/2.51 tff(f2028,plain,( 15.15/2.51 diff(int,t2tb(sK0),t2tb(sK1)) != empty(int) | spl30_92), 15.15/2.51 inference(constrained_resolution,[],[f2016,f1125])). 15.15/2.51 tff(f1125,plain,( 15.15/2.51 ( ! [X0 : uni] : (is_empty(int,diff(int,empty(int),X0))) )), 15.15/2.51 inference(resolution,[],[f1092,f845])). 15.15/2.51 tff(f2020,plain,( 15.15/2.51 ~spl30_92 | spl30_93 | ~spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f2012,f514,f2018,f2014])). 15.15/2.51 tff(f2012,plain,( 15.15/2.51 ( ! [X35 : uni] : (~mem(int,X35,t2tb(sK8)) | ~is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) ) | ~spl30_6), 15.15/2.51 inference(resolution,[],[f1068,f516])). 15.15/2.51 tff(f1981,plain,( 15.15/2.51 ~spl30_87 | spl30_90 | spl30_91 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f1974,f1345,f609,f1979,f1976,f1963])). 15.15/2.51 tff(f1963,plain,( 15.15/2.51 spl30_87 <=> sK6 = sK13), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_87])])). 15.15/2.51 tff(f1974,plain,( 15.15/2.51 ( ! [X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (min_elt1(sK8) != X4 | sK5 != X5 | $sum($sum(X6,sK5),$uminus(X5)) != X4 | sK5 != X7 | ~$less(sK5,X7) | mem(int,t2tb1(X6),t2tb(sK1)) | $less(X6,0) | sK6 != sK13) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f1973,f312])). 15.15/2.51 tff(f1973,plain,( 15.15/2.51 ( ! [X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X4 | sK5 != X5 | $sum($sum(X6,sK5),$uminus(X5)) != X4 | sK5 != X7 | ~$less(sK5,X7) | mem(int,t2tb1(X6),t2tb(sK1)) | $less(X6,0) | sK6 != sK13) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f1954,f611])). 15.15/2.51 tff(f1954,plain,( 15.15/2.51 ( ! [X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X4 | sK5 != X5 | $sum($sum(X6,sK5),$uminus(X5)) != X4 | $less(sK5,0) | sK5 != X7 | ~$less(sK5,X7) | mem(int,t2tb1(X6),t2tb(sK1)) | $less(X6,0) | sK6 != sK13) ) | ~spl30_59), 15.15/2.51 inference(constrained_superposition,[],[f446,f1347])). 15.15/2.51 tff(f1972,plain,( 15.15/2.51 ~spl30_87 | spl30_88 | spl30_89 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f1961,f657,f590,f1970,f1967,f1963])). 15.15/2.51 tff(f1961,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (sK15 != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | sK6 != sK13) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f1960,f312])). 15.15/2.51 tff(f1960,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | sK6 != sK13) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f1953,f592])). 15.15/2.51 tff(f1953,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | sK5 != X1 | $sum($sum(X2,sK16),$uminus(X1)) != X0 | $less(sK16,0) | sK5 != X3 | ~$less(sK16,X3) | mem(int,t2tb1(X2),t2tb(sK1)) | $less(X2,0) | sK6 != sK13) ) | ~spl30_26), 15.15/2.51 inference(constrained_superposition,[],[f446,f659])). 15.15/2.51 tff(f1898,plain,( 15.15/2.51 ~spl30_79 | spl30_86 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f1862,f1847,f1896,f1865])). 15.15/2.51 tff(f1896,plain,( 15.15/2.51 spl30_86 <=> ! [X6 : $int,X7 : set_int] : (n1 != X6 | ~mem(int,t2tb1(sK5),t2tb(pred1(X7))) | mem(int,t2tb1(X6),t2tb(X7)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_86])])). 15.15/2.51 tff(f1862,plain,( 15.15/2.51 ( ! [X6 : $int,X7 : set_int] : (n1 != X6 | mem(int,t2tb1(X6),t2tb(X7)) | ~mem(int,t2tb1(sK5),t2tb(pred1(X7))) | 1 != cardinal1(int,t2tb(sK0))) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f470,f1849])). 15.15/2.51 tff(f1894,plain,( 15.15/2.51 ~spl30_79 | spl30_85 | spl30_21 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f1890,f1847,f609,f1892,f1865])). 15.15/2.51 tff(f1892,plain,( 15.15/2.51 spl30_85 <=> ! [X4 : $int,X5 : set_int] : (n1 != X4 | ~mem(int,t2tb1(X4),t2tb(X5)) | mem(int,t2tb1(sK5),t2tb(pred1(X5))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_85])])). 15.15/2.51 tff(f1890,plain,( 15.15/2.51 ( ! [X4 : $int,X5 : set_int] : (n1 != X4 | mem(int,t2tb1(sK5),t2tb(pred1(X5))) | ~mem(int,t2tb1(X4),t2tb(X5)) | 1 != cardinal1(int,t2tb(sK0))) ) | (spl30_21 | ~spl30_78)), 15.15/2.51 inference(subsumption_resolution,[],[f1861,f611])). 15.15/2.51 tff(f1861,plain,( 15.15/2.51 ( ! [X4 : $int,X5 : set_int] : (n1 != X4 | mem(int,t2tb1(sK5),t2tb(pred1(X5))) | ~mem(int,t2tb1(X4),t2tb(X5)) | $less(sK5,0) | 1 != cardinal1(int,t2tb(sK0))) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f471,f1849])). 15.15/2.51 tff(f1889,plain,( 15.15/2.51 ~spl30_81 | spl30_84 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f1860,f1847,f1887,f1875])). 15.15/2.51 tff(f1875,plain,( 15.15/2.51 spl30_81 <=> cardinal1(int,t2tb(sK0)) = -1), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_81])])). 15.15/2.51 tff(f1887,plain,( 15.15/2.51 spl30_84 <=> ! [X2 : $int,X3 : set_int] : (n1 != X2 | ~mem(int,t2tb1(sK5),t2tb(succ1(X3))) | mem(int,t2tb1(X2),t2tb(X3)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_84])])). 15.15/2.51 tff(f1860,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : set_int] : (n1 != X2 | mem(int,t2tb1(X2),t2tb(X3)) | ~mem(int,t2tb1(sK5),t2tb(succ1(X3))) | cardinal1(int,t2tb(sK0)) != -1) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f486,f1849])). 15.15/2.51 tff(f1885,plain,( 15.15/2.51 ~spl30_81 | spl30_82 | spl30_83 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f1859,f1847,f1883,f1879,f1875])). 15.15/2.51 tff(f1879,plain,( 15.15/2.51 spl30_82 <=> $less(sK5,1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_82])])). 15.15/2.51 tff(f1883,plain,( 15.15/2.51 spl30_83 <=> ! [X0 : $int,X1 : set_int] : (n1 != X0 | ~mem(int,t2tb1(X0),t2tb(X1)) | mem(int,t2tb1(sK5),t2tb(succ1(X1))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_83])])). 15.15/2.51 tff(f1859,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : set_int] : (n1 != X0 | mem(int,t2tb1(sK5),t2tb(succ1(X1))) | ~mem(int,t2tb1(X0),t2tb(X1)) | $less(sK5,1) | cardinal1(int,t2tb(sK0)) != -1) ) | ~spl30_78), 15.15/2.51 inference(constrained_superposition,[],[f487,f1849])). 15.15/2.51 tff(f1873,plain,( 15.15/2.51 ~spl30_79 | spl30_80 | ~spl30_30 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f1858,f1847,f697,f1869,f1865])). 15.15/2.51 tff(f1858,plain,( 15.15/2.51 n1 = sK14 | 1 != cardinal1(int,t2tb(sK0)) | (~spl30_30 | ~spl30_78)), 15.15/2.51 inference(constrained_superposition,[],[f699,f1849])). 15.15/2.51 tff(f1872,plain,( 15.15/2.51 ~spl30_79 | spl30_80 | ~spl30_30 | ~spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f1856,f1847,f697,f1869,f1865])). 15.15/2.51 tff(f1856,plain,( 15.15/2.51 n1 = sK14 | 1 != cardinal1(int,t2tb(sK0)) | (~spl30_30 | ~spl30_78)), 15.15/2.51 inference(constrained_superposition,[],[f1849,f699])). 15.15/2.51 tff(f1850,plain,( 15.15/2.51 spl30_78), 15.15/2.51 inference(avatar_split_clause,[],[f1845,f1847])). 15.15/2.51 tff(f1845,plain,( 15.15/2.51 n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 15.15/2.51 inference(equality_resolution,[],[f1844])). 15.15/2.51 tff(f1844,plain,( 15.15/2.51 ( ! [X0 : $int] : (n1 != X0 | $sum(sK5,cardinal1(int,t2tb(sK0))) = X0) )), 15.15/2.51 inference(equality_resolution,[],[f1168])). 15.15/2.51 tff(f1168,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (sK5 != X0 | n1 != X1 | $sum(X0,cardinal1(int,t2tb(sK0))) = X1) )), 15.15/2.51 inference(equality_resolution,[],[f440])). 15.15/2.51 tff(f440,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X1 : $int] : (cardinal1(int,t2tb(sK0)) != X3 | sK5 != X2 | n1 != X1 | $sum(X2,X3) = X1) )), 15.15/2.51 inference(theory_flattening,[],[f278])). 15.15/2.51 tff(f278,plain,( 15.15/2.51 n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f1737,plain,( 15.15/2.51 ~spl30_77 | ~spl30_23 | ~spl30_73), 15.15/2.51 inference(avatar_split_clause,[],[f1732,f1717,f634,f1734])). 15.15/2.51 tff(f1732,plain,( 15.15/2.51 ~partial_solution1(sK14,sK13) | (~spl30_23 | ~spl30_73)), 15.15/2.51 inference(resolution,[],[f1718,f636])). 15.15/2.51 tff(f1731,plain,( 15.15/2.51 spl30_75 | spl30_76 | spl30_21 | ~spl30_59), 15.15/2.51 inference(avatar_split_clause,[],[f1724,f1345,f609,f1729,f1726])). 15.15/2.51 tff(f1724,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int] : (min_elt1(sK8) != X2 | ~$less(X2,0) | ~$less(sK5,X3) | ~partial_solution1(X3,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(forward_demodulation,[],[f1723,f312])). 15.15/2.51 tff(f1723,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X2 | ~$less(X2,0) | ~$less(sK5,X3) | ~partial_solution1(X3,sK13)) ) | (spl30_21 | ~spl30_59)), 15.15/2.51 inference(subsumption_resolution,[],[f1712,f611])). 15.15/2.51 tff(f1712,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int] : (tb2t1(t2tb1(min_elt1(sK8))) != X2 | ~$less(X2,0) | ~$less(sK5,X3) | $less(sK5,0) | ~partial_solution1(X3,sK13)) ) | ~spl30_59), 15.15/2.51 inference(superposition,[],[f464,f1347])). 15.15/2.51 tff(f1722,plain,( 15.15/2.51 spl30_73 | spl30_74 | spl30_19 | ~spl30_26), 15.15/2.51 inference(avatar_split_clause,[],[f1715,f657,f590,f1720,f1717])). 15.15/2.51 tff(f1715,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (sK15 != X0 | ~$less(X0,0) | ~$less(sK16,X1) | ~partial_solution1(X1,sK13)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(forward_demodulation,[],[f1714,f312])). 15.15/2.51 tff(f1714,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | ~$less(X0,0) | ~$less(sK16,X1) | ~partial_solution1(X1,sK13)) ) | (spl30_19 | ~spl30_26)), 15.15/2.51 inference(subsumption_resolution,[],[f1711,f592])). 15.15/2.51 tff(f1711,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (tb2t1(t2tb1(sK15)) != X0 | ~$less(X0,0) | ~$less(sK16,X1) | $less(sK16,0) | ~partial_solution1(X1,sK13)) ) | ~spl30_26), 15.15/2.51 inference(superposition,[],[f464,f659])). 15.15/2.51 tff(f1681,plain,( 15.15/2.51 spl30_70 | spl30_72), 15.15/2.51 inference(avatar_split_clause,[],[f1660,f1679,f1671])). 15.15/2.51 tff(f1660,plain,( 15.15/2.51 ( ! [X1 : $int] : (~mem(int,t2tb1(X1),t2tb(sK8)) | $less(min_elt1(tb2t(diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X1) | is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.51 inference(resolution,[],[f289,f879])). 15.15/2.51 tff(f1677,plain,( 15.15/2.51 spl30_70 | spl30_71), 15.15/2.51 inference(avatar_split_clause,[],[f1659,f1675,f1671])). 15.15/2.51 tff(f1659,plain,( 15.15/2.51 ( ! [X0 : $int] : (~mem(int,t2tb1(X0),t2tb(sK8)) | $less(max_elt1(tb2t(diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))),X0) | is_empty(int,diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) )), 15.15/2.51 inference(resolution,[],[f289,f845])). 15.15/2.51 tff(f1615,plain,( 15.15/2.51 ~spl30_68 | spl30_69 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f1606,f1012,f1613,f1609])). 15.15/2.51 tff(f1609,plain,( 15.15/2.51 spl30_68 <=> $uminus(sK3) = -1), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_68])])). 15.15/2.51 tff(f1613,plain,( 15.15/2.51 spl30_69 <=> ! [X2 : $int,X3 : set_int] : (sK7 != X2 | ~mem(int,t2tb1(sK9),t2tb(succ1(X3))) | mem(int,t2tb1(X2),t2tb(X3)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_69])])). 15.15/2.51 tff(f1606,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : set_int] : (sK7 != X2 | mem(int,t2tb1(X2),t2tb(X3)) | ~mem(int,t2tb1(sK9),t2tb(succ1(X3))) | $uminus(sK3) != -1) ) | ~spl30_45), 15.15/2.51 inference(constrained_superposition,[],[f486,f1014])). 15.15/2.51 tff(f1594,plain,( 15.15/2.51 ~spl30_66 | spl30_67 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f1585,f1012,f1592,f1588])). 15.15/2.51 tff(f1588,plain,( 15.15/2.51 spl30_66 <=> 1 = $uminus(sK3)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_66])])). 15.15/2.51 tff(f1592,plain,( 15.15/2.51 spl30_67 <=> ! [X2 : $int,X3 : set_int] : (sK7 != X2 | ~mem(int,t2tb1(sK9),t2tb(pred1(X3))) | mem(int,t2tb1(X2),t2tb(X3)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_67])])). 15.15/2.51 tff(f1585,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : set_int] : (sK7 != X2 | mem(int,t2tb1(X2),t2tb(X3)) | ~mem(int,t2tb1(sK9),t2tb(pred1(X3))) | 1 != $uminus(sK3)) ) | ~spl30_45), 15.15/2.51 inference(constrained_superposition,[],[f470,f1014])). 15.15/2.51 tff(f1556,plain,( 15.15/2.51 ~spl30_65 | ~spl30_61), 15.15/2.51 inference(avatar_split_clause,[],[f1543,f1431,f1553])). 15.15/2.51 tff(f1553,plain,( 15.15/2.51 spl30_65 <=> $less(sK15,min_elt1(sK0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_65])])). 15.15/2.51 tff(f1543,plain,( 15.15/2.51 ~$less(sK15,min_elt1(sK0)) | ~spl30_61), 15.15/2.51 inference(resolution,[],[f1507,f1433])). 15.15/2.51 tff(f1514,plain,( 15.15/2.51 ~spl30_64 | spl30_11 | ~spl30_41), 15.15/2.51 inference(avatar_split_clause,[],[f1509,f849,f539,f1511])). 15.15/2.51 tff(f1511,plain,( 15.15/2.51 spl30_64 <=> n1 = min_elt1(sK0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_64])])). 15.15/2.51 tff(f1509,plain,( 15.15/2.51 n1 != min_elt1(sK0) | (spl30_11 | ~spl30_41)), 15.15/2.51 inference(subsumption_resolution,[],[f1508,f541])). 15.15/2.51 tff(f1508,plain,( 15.15/2.51 n1 != min_elt1(sK0) | is_empty(int,t2tb(sK0)) | ~spl30_41), 15.15/2.51 inference(constrained_resolution,[],[f1480,f851])). 15.15/2.51 tff(f1504,plain,( 15.15/2.51 ~spl30_63 | ~spl30_41 | spl30_62), 15.15/2.51 inference(avatar_split_clause,[],[f1499,f1492,f849,f1501])). 15.15/2.51 tff(f1501,plain,( 15.15/2.51 spl30_63 <=> n1 = sK15), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_63])])). 15.15/2.51 tff(f1499,plain,( 15.15/2.51 n1 != sK15 | (~spl30_41 | spl30_62)), 15.15/2.51 inference(constrained_resolution,[],[f1494,f851])). 15.15/2.51 tff(f1495,plain,( 15.15/2.51 ~spl30_62 | ~spl30_61), 15.15/2.51 inference(avatar_split_clause,[],[f1482,f1431,f1492])). 15.15/2.51 tff(f1482,plain,( 15.15/2.51 ~$less(max_elt1(sK0),sK15) | ~spl30_61), 15.15/2.51 inference(resolution,[],[f1478,f1433])). 15.15/2.51 tff(f1434,plain,( 15.15/2.51 spl30_61 | ~spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f1429,f499,f1431])). 15.15/2.51 tff(f1429,plain,( 15.15/2.51 mem(int,t2tb1(sK15),t2tb(sK0)) | ~spl30_3), 15.15/2.51 inference(subsumption_resolution,[],[f1428,f305])). 15.15/2.51 tff(f1428,plain,( 15.15/2.51 mem(int,t2tb1(sK15),t2tb(sK0)) | ~sort1(int,t2tb1(sK15)) | ~spl30_3), 15.15/2.51 inference(subsumption_resolution,[],[f1418,f305])). 15.15/2.51 tff(f1418,plain,( 15.15/2.51 mem(int,t2tb1(sK15),t2tb(sK0)) | ~sort1(int,t2tb1(min_elt1(sK8))) | ~sort1(int,t2tb1(sK15)) | ~spl30_3), 15.15/2.51 inference(resolution,[],[f405,f501])). 15.15/2.51 tff(f405,plain,( 15.15/2.51 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X1,remove(X0,X2,X3)) | mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 15.15/2.51 inference(cnf_transformation,[],[f251])). 15.15/2.51 tff(f1398,plain,( 15.15/2.51 spl30_60 | ~spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f1385,f499,f1395])). 15.15/2.51 tff(f1385,plain,( 15.15/2.51 $less(sK15,n1) | ~spl30_3), 15.15/2.51 inference(resolution,[],[f1377,f501])). 15.15/2.51 tff(f1348,plain,( 15.15/2.51 spl30_59 | ~spl30_38), 15.15/2.51 inference(avatar_split_clause,[],[f1343,f768,f1345])). 15.15/2.51 tff(f1343,plain,( 15.15/2.51 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~spl30_38), 15.15/2.51 inference(subsumption_resolution,[],[f1341,f305])). 15.15/2.51 tff(f1341,plain,( 15.15/2.51 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~sort1(int,t2tb1(min_elt1(sK8))) | ~spl30_38), 15.15/2.51 inference(superposition,[],[f428,f770])). 15.15/2.51 tff(f1264,plain,( 15.15/2.51 spl30_54 | ~spl30_56 | spl30_55), 15.15/2.51 inference(avatar_split_clause,[],[f1263,f1245,f1249,f1241])). 15.15/2.51 tff(f1249,plain,( 15.15/2.51 spl30_56 <=> $less(sK20(max_elt1(sK2)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_56])])). 15.15/2.51 tff(f1263,plain,( 15.15/2.51 $less(max_elt1(sK2),0) | ~$less(sK20(max_elt1(sK2)),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(forward_demodulation,[],[f1262,f309])). 15.15/2.51 tff(f1262,plain,( 15.15/2.51 ~$less(sK20(max_elt1(sK2)),0) | $less(max_elt1(tb2t(t2tb(sK2))),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(forward_demodulation,[],[f1234,f309])). 15.15/2.51 tff(f1234,plain,( 15.15/2.51 ~$less(sK20(max_elt1(tb2t(t2tb(sK2)))),0) | $less(max_elt1(tb2t(t2tb(sK2))),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(resolution,[],[f1115,f845])). 15.15/2.51 tff(f1261,plain,( 15.15/2.51 spl30_54 | spl30_57 | ~spl30_58), 15.15/2.51 inference(avatar_split_clause,[],[f1233,f1258,f1254,f1241])). 15.15/2.51 tff(f1258,plain,( 15.15/2.51 spl30_58 <=> $less(sK20(min_elt1(sK2)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_58])])). 15.15/2.51 tff(f1233,plain,( 15.15/2.51 ~$less(sK20(min_elt1(sK2)),0) | $less(min_elt1(sK2),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(resolution,[],[f1115,f324])). 15.15/2.51 tff(f1252,plain,( 15.15/2.51 spl30_54 | spl30_55 | ~spl30_56), 15.15/2.51 inference(avatar_split_clause,[],[f1232,f1249,f1245,f1241])). 15.15/2.51 tff(f1232,plain,( 15.15/2.51 ~$less(sK20(max_elt1(sK2)),0) | $less(max_elt1(sK2),0) | is_empty(int,t2tb(sK2))), 15.15/2.51 inference(resolution,[],[f1115,f323])). 15.15/2.51 tff(f1230,plain,( 15.15/2.51 spl30_49 | ~spl30_51 | spl30_50), 15.15/2.51 inference(avatar_split_clause,[],[f1229,f1211,f1215,f1207])). 15.15/2.51 tff(f1215,plain,( 15.15/2.51 spl30_51 <=> $less(sK19(max_elt1(sK1)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_51])])). 15.15/2.51 tff(f1229,plain,( 15.15/2.51 $less(max_elt1(sK1),0) | ~$less(sK19(max_elt1(sK1)),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(forward_demodulation,[],[f1228,f309])). 15.15/2.51 tff(f1228,plain,( 15.15/2.51 ~$less(sK19(max_elt1(sK1)),0) | $less(max_elt1(tb2t(t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(forward_demodulation,[],[f1200,f309])). 15.15/2.51 tff(f1200,plain,( 15.15/2.51 ~$less(sK19(max_elt1(tb2t(t2tb(sK1)))),0) | $less(max_elt1(tb2t(t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(resolution,[],[f1110,f845])). 15.15/2.51 tff(f1227,plain,( 15.15/2.51 spl30_49 | spl30_52 | ~spl30_53), 15.15/2.51 inference(avatar_split_clause,[],[f1199,f1224,f1220,f1207])). 15.15/2.51 tff(f1224,plain,( 15.15/2.51 spl30_53 <=> $less(sK19(min_elt1(sK1)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_53])])). 15.15/2.51 tff(f1199,plain,( 15.15/2.51 ~$less(sK19(min_elt1(sK1)),0) | $less(min_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(resolution,[],[f1110,f324])). 15.15/2.51 tff(f1218,plain,( 15.15/2.51 spl30_49 | spl30_50 | ~spl30_51), 15.15/2.51 inference(avatar_split_clause,[],[f1198,f1215,f1211,f1207])). 15.15/2.51 tff(f1198,plain,( 15.15/2.51 ~$less(sK19(max_elt1(sK1)),0) | $less(max_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 15.15/2.51 inference(resolution,[],[f1110,f323])). 15.15/2.51 tff(f1164,plain,( 15.15/2.51 ~spl30_48 | ~spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f1152,f499,f1161])). 15.15/2.51 tff(f1152,plain,( 15.15/2.51 ~$less(sK15,0) | ~spl30_3), 15.15/2.51 inference(resolution,[],[f1146,f501])). 15.15/2.51 tff(f1106,plain,( 15.15/2.51 ~spl30_47 | ~spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f1093,f499,f1103])). 15.15/2.51 tff(f1093,plain,( 15.15/2.51 t2tb(sK0) != empty(int) | ~spl30_3), 15.15/2.51 inference(constrained_resolution,[],[f1091,f501])). 15.15/2.51 tff(f1091,plain,( 15.15/2.51 ( ! [X8 : uni,X9 : uni,X7 : ty] : (~mem(X7,X8,remove(X7,X9,empty(X7)))) )), 15.15/2.51 inference(resolution,[],[f1069,f371])). 15.15/2.51 tff(f1023,plain,( 15.15/2.51 ~spl30_46 | spl30_33 | ~spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f1016,f1012,f726,f1020])). 15.15/2.51 tff(f1020,plain,( 15.15/2.51 spl30_46 <=> $less(sK7,0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_46])])). 15.15/2.51 tff(f726,plain,( 15.15/2.51 spl30_33 <=> $less($sum(sK9,$uminus(sK3)),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_33])])). 15.15/2.51 tff(f1016,plain,( 15.15/2.51 ~$less(sK7,0) | (spl30_33 | ~spl30_45)), 15.15/2.51 inference(backward_demodulation,[],[f728,f1014])). 15.15/2.51 tff(f728,plain,( 15.15/2.51 ~$less($sum(sK9,$uminus(sK3)),0) | spl30_33), 15.15/2.51 inference(avatar_component_clause,[],[f726])). 15.15/2.51 tff(f1015,plain,( 15.15/2.51 spl30_45), 15.15/2.51 inference(avatar_split_clause,[],[f1010,f1012])). 15.15/2.51 tff(f1010,plain,( 15.15/2.51 sK7 = $sum(sK9,$uminus(sK3))), 15.15/2.51 inference(equality_resolution,[],[f1007])). 15.15/2.51 tff(f1007,plain,( 15.15/2.51 ( ! [X0 : $int] : (sK3 != X0 | sK7 = $sum(sK9,$uminus(X0))) )), 15.15/2.51 inference(equality_resolution,[],[f1006])). 15.15/2.51 tff(f1006,plain,( 15.15/2.51 ( ! [X0 : $int,X1 : $int] : (sK7 != X0 | sK3 != X1 | $sum(sK9,$uminus(X1)) = X0) )), 15.15/2.51 inference(equality_resolution,[],[f432])). 15.15/2.51 tff(f432,plain,( 15.15/2.51 ( ! [X2 : $int,X3 : $int,X1 : $int] : (sK9 != X2 | sK7 != X1 | sK3 != X3 | $sum(X2,$uminus(X3)) = X1) )), 15.15/2.51 inference(theory_flattening,[],[f295])). 15.15/2.51 tff(f295,plain,( 15.15/2.51 sK7 = $sum(sK9,$uminus(sK3))), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f898,plain,( 15.15/2.51 ~spl30_44 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f897,f539,f889])). 15.15/2.51 tff(f889,plain,( 15.15/2.51 spl30_44 <=> $less(min_elt1(sK0),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_44])])). 15.15/2.51 tff(f897,plain,( 15.15/2.51 ~$less(min_elt1(sK0),0) | spl30_11), 15.15/2.51 inference(forward_demodulation,[],[f896,f312])). 15.15/2.51 tff(f896,plain,( 15.15/2.51 ~$less(tb2t1(t2tb1(min_elt1(sK0))),0) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f876,f541])). 15.15/2.51 tff(f876,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | ~$less(tb2t1(t2tb1(min_elt1(sK0))),0)), 15.15/2.51 inference(resolution,[],[f324,f627])). 15.15/2.51 tff(f895,plain,( 15.15/2.51 spl30_43 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f894,f539,f883])). 15.15/2.51 tff(f883,plain,( 15.15/2.51 spl30_43 <=> $less(min_elt1(sK0),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_43])])). 15.15/2.51 tff(f894,plain,( 15.15/2.51 $less(min_elt1(sK0),n1) | spl30_11), 15.15/2.51 inference(forward_demodulation,[],[f893,f312])). 15.15/2.51 tff(f893,plain,( 15.15/2.51 $less(tb2t1(t2tb1(min_elt1(sK0))),n1) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f875,f541])). 15.15/2.51 tff(f875,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | $less(tb2t1(t2tb1(min_elt1(sK0))),n1)), 15.15/2.51 inference(resolution,[],[f324,f733])). 15.15/2.51 tff(f892,plain,( 15.15/2.51 ~spl30_44 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f887,f539,f889])). 15.15/2.51 tff(f887,plain,( 15.15/2.51 ~$less(min_elt1(sK0),0) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f874,f541])). 15.15/2.51 tff(f874,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | ~$less(min_elt1(sK0),0)), 15.15/2.51 inference(resolution,[],[f324,f275])). 15.15/2.51 tff(f886,plain,( 15.15/2.51 spl30_43 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f881,f539,f883])). 15.15/2.51 tff(f881,plain,( 15.15/2.51 $less(min_elt1(sK0),n1) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f873,f541])). 15.15/2.51 tff(f873,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | $less(min_elt1(sK0),n1)), 15.15/2.51 inference(resolution,[],[f324,f732])). 15.15/2.51 tff(f864,plain,( 15.15/2.51 ~spl30_42 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f863,f539,f855])). 15.15/2.51 tff(f855,plain,( 15.15/2.51 spl30_42 <=> $less(max_elt1(sK0),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_42])])). 15.15/2.51 tff(f863,plain,( 15.15/2.51 ~$less(max_elt1(sK0),0) | spl30_11), 15.15/2.51 inference(forward_demodulation,[],[f862,f312])). 15.15/2.51 tff(f862,plain,( 15.15/2.51 ~$less(tb2t1(t2tb1(max_elt1(sK0))),0) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f842,f541])). 15.15/2.51 tff(f842,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | ~$less(tb2t1(t2tb1(max_elt1(sK0))),0)), 15.15/2.51 inference(resolution,[],[f323,f627])). 15.15/2.51 tff(f861,plain,( 15.15/2.51 spl30_41 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f860,f539,f849])). 15.15/2.51 tff(f860,plain,( 15.15/2.51 $less(max_elt1(sK0),n1) | spl30_11), 15.15/2.51 inference(forward_demodulation,[],[f859,f312])). 15.15/2.51 tff(f859,plain,( 15.15/2.51 $less(tb2t1(t2tb1(max_elt1(sK0))),n1) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f841,f541])). 15.15/2.51 tff(f841,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | $less(tb2t1(t2tb1(max_elt1(sK0))),n1)), 15.15/2.51 inference(resolution,[],[f323,f733])). 15.15/2.51 tff(f858,plain,( 15.15/2.51 ~spl30_42 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f853,f539,f855])). 15.15/2.51 tff(f853,plain,( 15.15/2.51 ~$less(max_elt1(sK0),0) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f840,f541])). 15.15/2.51 tff(f840,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | ~$less(max_elt1(sK0),0)), 15.15/2.51 inference(resolution,[],[f323,f275])). 15.15/2.51 tff(f852,plain,( 15.15/2.51 spl30_41 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f847,f539,f849])). 15.15/2.51 tff(f847,plain,( 15.15/2.51 $less(max_elt1(sK0),n1) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f839,f541])). 15.15/2.51 tff(f839,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | $less(max_elt1(sK0),n1)), 15.15/2.51 inference(resolution,[],[f323,f732])). 15.15/2.51 tff(f819,plain,( 15.15/2.51 ~spl30_40 | ~spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f814,f499,f816])). 15.15/2.51 tff(f814,plain,( 15.15/2.51 min_elt1(sK8) != sK15 | ~spl30_3), 15.15/2.51 inference(subsumption_resolution,[],[f813,f305])). 15.15/2.51 tff(f813,plain,( 15.15/2.51 min_elt1(sK8) != sK15 | ~sort1(int,t2tb1(sK15)) | ~spl30_3), 15.15/2.51 inference(constrained_resolution,[],[f484,f501])). 15.15/2.51 tff(f787,plain,( 15.15/2.51 spl30_39 | ~spl30_28), 15.15/2.51 inference(avatar_split_clause,[],[f782,f674,f784])). 15.15/2.51 tff(f674,plain,( 15.15/2.51 spl30_28 <=> ! [X2 : $int] : (0 != X2 | ~$less(X2,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_28])])). 15.15/2.51 tff(f782,plain,( 15.15/2.51 is_empty(int,t2tb(below1(0))) | ~spl30_28), 15.15/2.51 inference(equality_resolution,[],[f779])). 15.15/2.51 tff(f779,plain,( 15.15/2.51 ( ! [X3 : $int] : (0 != X3 | is_empty(int,t2tb(below1(X3)))) ) | ~spl30_28), 15.15/2.51 inference(subsumption_resolution,[],[f777,f675])). 15.15/2.51 tff(f675,plain,( 15.15/2.51 ( ! [X2 : $int] : (0 != X2 | ~$less(X2,0)) ) | ~spl30_28), 15.15/2.51 inference(avatar_component_clause,[],[f674])). 15.15/2.51 tff(f777,plain,( 15.15/2.51 ( ! [X3 : $int] : (0 != X3 | is_empty(int,t2tb(below1(X3))) | $less(X3,0)) )), 15.15/2.51 inference(superposition,[],[f350,f320])). 15.15/2.51 tff(f771,plain,( 15.15/2.51 spl30_38 | ~spl30_34), 15.15/2.51 inference(avatar_split_clause,[],[f766,f737,f768])). 15.15/2.51 tff(f737,plain,( 15.15/2.51 spl30_34 <=> sK13 = tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_34])])). 15.15/2.51 tff(f766,plain,( 15.15/2.51 t2tb2(sK13) = set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))) | ~spl30_34), 15.15/2.51 inference(superposition,[],[f313,f739])). 15.15/2.51 tff(f739,plain,( 15.15/2.51 sK13 = tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))) | ~spl30_34), 15.15/2.51 inference(avatar_component_clause,[],[f737])). 15.15/2.51 tff(f762,plain,( 15.15/2.51 ~spl30_37 | spl30_31 | ~spl30_35), 15.15/2.51 inference(avatar_split_clause,[],[f756,f746,f706,f759])). 15.15/2.51 tff(f759,plain,( 15.15/2.51 spl30_37 <=> 0 = n1), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_37])])). 15.15/2.51 tff(f706,plain,( 15.15/2.51 spl30_31 <=> $less(tb2t1(sK21(int,t2tb(sK0))),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_31])])). 15.15/2.51 tff(f746,plain,( 15.15/2.51 spl30_35 <=> $less(tb2t1(sK21(int,t2tb(sK0))),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_35])])). 15.15/2.51 tff(f756,plain,( 15.15/2.51 0 != n1 | (spl30_31 | ~spl30_35)), 15.15/2.51 inference(constrained_resolution,[],[f748,f708])). 15.15/2.51 tff(f708,plain,( 15.15/2.51 ~$less(tb2t1(sK21(int,t2tb(sK0))),0) | spl30_31), 15.15/2.51 inference(avatar_component_clause,[],[f706])). 15.15/2.51 tff(f748,plain,( 15.15/2.51 $less(tb2t1(sK21(int,t2tb(sK0))),n1) | ~spl30_35), 15.15/2.51 inference(avatar_component_clause,[],[f746])). 15.15/2.51 tff(f755,plain,( 15.15/2.51 spl30_36 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f750,f539,f752])). 15.15/2.51 tff(f752,plain,( 15.15/2.51 spl30_36 <=> $less(tb2t1(choose(int,t2tb(sK0))),n1)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_36])])). 15.15/2.51 tff(f750,plain,( 15.15/2.51 $less(tb2t1(choose(int,t2tb(sK0))),n1) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f742,f541])). 15.15/2.51 tff(f742,plain,( 15.15/2.51 $less(tb2t1(choose(int,t2tb(sK0))),n1) | is_empty(int,t2tb(sK0))), 15.15/2.51 inference(resolution,[],[f733,f335])). 15.15/2.51 tff(f749,plain,( 15.15/2.51 spl30_35 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f744,f539,f746])). 15.15/2.51 tff(f744,plain,( 15.15/2.51 $less(tb2t1(sK21(int,t2tb(sK0))),n1) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f741,f541])). 15.15/2.51 tff(f741,plain,( 15.15/2.51 $less(tb2t1(sK21(int,t2tb(sK0))),n1) | is_empty(int,t2tb(sK0))), 15.15/2.51 inference(resolution,[],[f733,f334])). 15.15/2.51 tff(f740,plain,( 15.15/2.51 spl30_34 | ~spl30_1 | ~spl30_4), 15.15/2.51 inference(avatar_split_clause,[],[f735,f504,f489,f737])). 15.15/2.51 tff(f504,plain,( 15.15/2.51 spl30_4 <=> tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_4])])). 15.15/2.51 tff(f735,plain,( 15.15/2.51 sK13 = tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))) | (~spl30_1 | ~spl30_4)), 15.15/2.51 inference(forward_demodulation,[],[f506,f491])). 15.15/2.51 tff(f506,plain,( 15.15/2.51 tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13 | ~spl30_4), 15.15/2.51 inference(avatar_component_clause,[],[f504])). 15.15/2.51 tff(f729,plain,( 15.15/2.51 ~spl30_33), 15.15/2.51 inference(avatar_split_clause,[],[f724,f726])). 15.15/2.51 tff(f724,plain,( 15.15/2.51 ~$less($sum(sK9,$uminus(sK3)),0)), 15.15/2.51 inference(equality_resolution,[],[f723])). 15.15/2.51 tff(f723,plain,( 15.15/2.51 ( ! [X0 : $int] : (sK3 != X0 | ~$less($sum(sK9,$uminus(X0)),0)) )), 15.15/2.51 inference(equality_resolution,[],[f433])). 15.15/2.51 tff(f433,plain,( 15.15/2.51 ( ! [X2 : $int,X1 : $int] : (sK9 != X1 | sK3 != X2 | ~$less($sum(X1,$uminus(X2)),0)) )), 15.15/2.51 inference(theory_flattening,[],[f294])). 15.15/2.51 tff(f294,plain,( 15.15/2.51 ~$less($sum(sK9,$uminus(sK3)),0)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f720,plain,( 15.15/2.51 ~spl30_32 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f715,f539,f717])). 15.15/2.51 tff(f717,plain,( 15.15/2.51 spl30_32 <=> $less(tb2t1(choose(int,t2tb(sK0))),0)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_32])])). 15.15/2.51 tff(f715,plain,( 15.15/2.51 ~$less(tb2t1(choose(int,t2tb(sK0))),0) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f714,f541])). 15.15/2.51 tff(f714,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | ~$less(tb2t1(choose(int,t2tb(sK0))),0)), 15.15/2.51 inference(resolution,[],[f335,f627])). 15.15/2.51 tff(f709,plain,( 15.15/2.51 ~spl30_31 | spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f704,f539,f706])). 15.15/2.51 tff(f704,plain,( 15.15/2.51 ~$less(tb2t1(sK21(int,t2tb(sK0))),0) | spl30_11), 15.15/2.51 inference(subsumption_resolution,[],[f703,f541])). 15.15/2.51 tff(f703,plain,( 15.15/2.51 is_empty(int,t2tb(sK0)) | ~$less(tb2t1(sK21(int,t2tb(sK0))),0)), 15.15/2.51 inference(resolution,[],[f334,f627])). 15.15/2.51 tff(f700,plain,( 15.15/2.51 spl30_30 | ~spl30_1), 15.15/2.51 inference(avatar_split_clause,[],[f695,f489,f697])). 15.15/2.51 tff(f695,plain,( 15.15/2.51 sK14 = $sum(sK5,1) | ~spl30_1), 15.15/2.51 inference(equality_resolution,[],[f694])). 15.15/2.51 tff(f694,plain,( 15.15/2.51 ( ! [X0 : $int] : (sK5 != X0 | sK14 = $sum(X0,1)) ) | ~spl30_1), 15.15/2.51 inference(equality_resolution,[],[f679])). 15.15/2.51 tff(f679,plain,( 15.15/2.51 ( ! [X2 : $int,X1 : $int] : (sK14 != X2 | sK5 != X1 | $sum(X1,1) = X2) ) | ~spl30_1), 15.15/2.51 inference(forward_demodulation,[],[f431,f491])). 15.15/2.51 tff(f431,plain,( 15.15/2.51 ( ! [X2 : $int,X1 : $int] : (sK11 != X1 | sK14 != X2 | $sum(X1,1) = X2) )), 15.15/2.51 inference(theory_flattening,[],[f298])). 15.15/2.51 tff(f298,plain,( 15.15/2.51 $sum(sK11,1) = sK14), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f690,plain,( 15.15/2.51 ~spl30_29 | ~spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f682,f499,f687])). 15.15/2.51 tff(f682,plain,( 15.15/2.51 ~is_empty(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | ~spl30_3), 15.15/2.51 inference(resolution,[],[f501,f332])). 15.15/2.51 tff(f678,plain,( 15.15/2.51 ~spl30_27), 15.15/2.51 inference(avatar_contradiction_clause,[],[f677])). 15.15/2.51 tff(f677,plain,( 15.15/2.51 $false | ~spl30_27), 15.15/2.51 inference(resolution,[],[f672,f306])). 15.15/2.51 tff(f672,plain,( 15.15/2.51 ( ! [X0 : ty,X1 : uni] : (~is_empty(X0,X1)) ) | ~spl30_27), 15.15/2.51 inference(avatar_component_clause,[],[f671])). 15.15/2.51 tff(f676,plain,( 15.15/2.51 spl30_27 | spl30_28), 15.15/2.51 inference(avatar_split_clause,[],[f668,f674,f671])). 15.15/2.51 tff(f668,plain,( 15.15/2.51 ( ! [X2 : $int,X0 : ty,X1 : uni] : (0 != X2 | ~$less(X2,0) | ~is_empty(X0,X1)) )), 15.15/2.51 inference(superposition,[],[f458,f349])). 15.15/2.51 tff(f660,plain,( 15.15/2.51 spl30_26 | ~spl30_2), 15.15/2.51 inference(avatar_split_clause,[],[f655,f494,f657])). 15.15/2.51 tff(f494,plain,( 15.15/2.51 spl30_2 <=> sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16)))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_2])])). 15.15/2.51 tff(f655,plain,( 15.15/2.51 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16)) | ~spl30_2), 15.15/2.51 inference(superposition,[],[f315,f496])). 15.15/2.51 tff(f496,plain,( 15.15/2.51 sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) | ~spl30_2), 15.15/2.51 inference(avatar_component_clause,[],[f494])). 15.15/2.51 tff(f650,plain,( 15.15/2.51 ~spl30_25 | spl30_19 | ~spl30_23), 15.15/2.51 inference(avatar_split_clause,[],[f640,f634,f590,f646])). 15.15/2.51 tff(f646,plain,( 15.15/2.51 spl30_25 <=> 0 = sK14), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_25])])). 15.15/2.51 tff(f640,plain,( 15.15/2.51 0 != sK14 | (spl30_19 | ~spl30_23)), 15.15/2.51 inference(constrained_resolution,[],[f636,f592])). 15.15/2.51 tff(f649,plain,( 15.15/2.51 ~spl30_24 | ~spl30_25 | spl30_20 | ~spl30_23), 15.15/2.51 inference(avatar_split_clause,[],[f639,f634,f601,f646,f642])). 15.15/2.51 tff(f642,plain,( 15.15/2.51 spl30_24 <=> sK3 = sK16), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_24])])). 15.15/2.51 tff(f639,plain,( 15.15/2.51 0 != sK14 | sK3 != sK16 | (spl30_20 | ~spl30_23)), 15.15/2.51 inference(constrained_resolution,[],[f636,f603])). 15.15/2.51 tff(f637,plain,( 15.15/2.51 spl30_23), 15.15/2.51 inference(avatar_split_clause,[],[f632,f634])). 15.15/2.51 tff(f632,plain,( 15.15/2.51 $less(sK16,sK14)), 15.15/2.51 inference(equality_resolution,[],[f629])). 15.15/2.51 tff(f629,plain,( 15.15/2.51 ( ! [X0 : $int] : (sK14 != X0 | $less(sK16,X0)) )), 15.15/2.51 inference(equality_resolution,[],[f429])). 15.15/2.51 tff(f429,plain,( 15.15/2.51 ( ! [X2 : $int,X1 : $int] : (sK16 != X1 | sK14 != X2 | $less(X1,X2)) )), 15.15/2.51 inference(theory_flattening,[],[f301])). 15.15/2.51 tff(f301,plain,( 15.15/2.51 $less(sK16,sK14)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f620,plain,( 15.15/2.51 spl30_22 | ~spl30_1 | ~spl30_9), 15.15/2.51 inference(avatar_split_clause,[],[f615,f529,f489,f617])). 15.15/2.51 tff(f529,plain,( 15.15/2.51 spl30_9 <=> eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_9])])). 15.15/2.51 tff(f615,plain,( 15.15/2.51 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5) | (~spl30_1 | ~spl30_9)), 15.15/2.51 inference(forward_demodulation,[],[f531,f491])). 15.15/2.51 tff(f531,plain,( 15.15/2.51 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11) | ~spl30_9), 15.15/2.51 inference(avatar_component_clause,[],[f529])). 15.15/2.51 tff(f612,plain,( 15.15/2.51 ~spl30_21 | ~spl30_17), 15.15/2.51 inference(avatar_split_clause,[],[f607,f582,f609])). 15.15/2.51 tff(f582,plain,( 15.15/2.51 spl30_17 <=> ! [X0 : $int] : (sK5 != X0 | ~$less(X0,0))), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_17])])). 15.15/2.51 tff(f607,plain,( 15.15/2.51 ~$less(sK5,0) | ~spl30_17), 15.15/2.51 inference(equality_resolution,[],[f583])). 15.15/2.51 tff(f583,plain,( 15.15/2.51 ( ! [X0 : $int] : (sK5 != X0 | ~$less(X0,0)) ) | ~spl30_17), 15.15/2.51 inference(avatar_component_clause,[],[f582])). 15.15/2.51 tff(f604,plain,( 15.15/2.51 ~spl30_20), 15.15/2.51 inference(avatar_split_clause,[],[f599,f601])). 15.15/2.51 tff(f599,plain,( 15.15/2.51 ~$less(sK3,0)), 15.15/2.51 inference(equality_resolution,[],[f454])). 15.15/2.51 tff(f454,plain,( 15.15/2.51 ( ! [X1 : $int] : (sK3 != X1 | ~$less(X1,0)) )), 15.15/2.51 inference(theory_flattening,[],[f262])). 15.15/2.51 tff(f262,plain,( 15.15/2.51 ~$less(sK3,0)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f594,plain,( 15.15/2.51 spl30_17), 15.15/2.51 inference(avatar_split_clause,[],[f439,f582])). 15.15/2.51 tff(f439,plain,( 15.15/2.51 ( ! [X1 : $int] : (sK5 != X1 | ~$less(X1,0)) )), 15.15/2.51 inference(theory_flattening,[],[f279])). 15.15/2.51 tff(f279,plain,( 15.15/2.51 ~$less(sK5,0)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f593,plain,( 15.15/2.51 ~spl30_19), 15.15/2.51 inference(avatar_split_clause,[],[f579,f590])). 15.15/2.51 tff(f579,plain,( 15.15/2.51 ~$less(sK16,0)), 15.15/2.51 inference(equality_resolution,[],[f430])). 15.15/2.51 tff(f430,plain,( 15.15/2.51 ( ! [X1 : $int] : (sK16 != X1 | ~$less(X1,0)) )), 15.15/2.51 inference(theory_flattening,[],[f300])). 15.15/2.51 tff(f300,plain,( 15.15/2.51 ~$less(sK16,0)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f588,plain,( 15.15/2.51 spl30_17 | ~spl30_18 | ~spl30_1), 15.15/2.51 inference(avatar_split_clause,[],[f580,f489,f585,f582])). 15.15/2.51 tff(f580,plain,( 15.15/2.51 ( ! [X0 : $int] : (sK5 != sK16 | sK5 != X0 | ~$less(X0,0)) ) | ~spl30_1), 15.15/2.51 inference(forward_demodulation,[],[f578,f491])). 15.15/2.51 tff(f578,plain,( 15.15/2.51 ( ! [X0 : $int] : (sK5 != X0 | ~$less(X0,0) | sK11 != sK16) ) | ~spl30_1), 15.15/2.51 inference(constrained_superposition,[],[f430,f491])). 15.15/2.51 tff(f573,plain,( 15.15/2.51 spl30_15 | ~spl30_16 | ~spl30_1 | ~spl30_8), 15.15/2.51 inference(avatar_split_clause,[],[f564,f524,f489,f570,f566])). 15.15/2.51 tff(f566,plain,( 15.15/2.51 spl30_15 <=> sorted1(sK10,sK3,sK5)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_15])])). 15.15/2.51 tff(f564,plain,( 15.15/2.51 sK5 != sK9 | sorted1(sK10,sK3,sK5) | (~spl30_1 | ~spl30_8)), 15.15/2.51 inference(forward_demodulation,[],[f563,f491])). 15.15/2.51 tff(f563,plain,( 15.15/2.51 sorted1(sK10,sK3,sK5) | sK9 != sK11 | (~spl30_1 | ~spl30_8)), 15.15/2.51 inference(constrained_superposition,[],[f526,f491])). 15.15/2.51 tff(f558,plain,( 15.15/2.51 spl30_14 | ~spl30_1 | ~spl30_7), 15.15/2.51 inference(avatar_split_clause,[],[f553,f519,f489,f555])). 15.15/2.51 tff(f555,plain,( 15.15/2.51 spl30_14 <=> partial_solution1(sK5,sK12)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_14])])). 15.15/2.51 tff(f519,plain,( 15.15/2.51 spl30_7 <=> partial_solution1(sK11,sK12)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_7])])). 15.15/2.51 tff(f553,plain,( 15.15/2.51 partial_solution1(sK5,sK12) | (~spl30_1 | ~spl30_7)), 15.15/2.51 inference(forward_demodulation,[],[f521,f491])). 15.15/2.51 tff(f521,plain,( 15.15/2.51 partial_solution1(sK11,sK12) | ~spl30_7), 15.15/2.51 inference(avatar_component_clause,[],[f519])). 15.15/2.51 tff(f552,plain,( 15.15/2.51 ~spl30_13), 15.15/2.51 inference(avatar_split_clause,[],[f303,f549])). 15.15/2.51 tff(f303,plain,( 15.15/2.51 false1 != true1), 15.15/2.51 inference(cnf_transformation,[],[f39])). 15.15/2.51 tff(f39,axiom,( 15.15/2.51 false1 != true1), 15.15/2.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False)). 15.15/2.51 tff(f547,plain,( 15.15/2.51 spl30_12), 15.15/2.51 inference(avatar_split_clause,[],[f267,f544])). 15.15/2.51 tff(f544,plain,( 15.15/2.51 spl30_12 <=> partial_solution1(sK5,sK6)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_12])])). 15.15/2.51 tff(f267,plain,( 15.15/2.51 partial_solution1(sK5,sK6)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f542,plain,( 15.15/2.51 ~spl30_11), 15.15/2.51 inference(avatar_split_clause,[],[f280,f539])). 15.15/2.51 tff(f280,plain,( 15.15/2.51 ~is_empty(int,t2tb(sK0))), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f537,plain,( 15.15/2.51 spl30_10), 15.15/2.51 inference(avatar_split_clause,[],[f281,f534])). 15.15/2.51 tff(f534,plain,( 15.15/2.51 spl30_10 <=> eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3)), 15.15/2.51 introduced(avatar_definition,[new_symbols(naming,[spl30_10])])). 15.15/2.51 tff(f281,plain,( 15.15/2.51 eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f532,plain,( 15.15/2.51 spl30_9), 15.15/2.51 inference(avatar_split_clause,[],[f282,f529])). 15.15/2.51 tff(f282,plain,( 15.15/2.51 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f527,plain,( 15.15/2.51 spl30_8), 15.15/2.51 inference(avatar_split_clause,[],[f290,f524])). 15.15/2.51 tff(f290,plain,( 15.15/2.51 sorted1(sK10,sK3,sK9)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f522,plain,( 15.15/2.51 spl30_7), 15.15/2.51 inference(avatar_split_clause,[],[f291,f519])). 15.15/2.51 tff(f291,plain,( 15.15/2.51 partial_solution1(sK11,sK12)), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f517,plain,( 15.15/2.51 spl30_6), 15.15/2.51 inference(avatar_split_clause,[],[f292,f514])). 15.15/2.51 tff(f292,plain,( 15.15/2.51 subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f512,plain,( 15.15/2.51 ~spl30_5), 15.15/2.51 inference(avatar_split_clause,[],[f296,f509])). 15.15/2.51 tff(f296,plain,( 15.15/2.51 ~is_empty(int,t2tb(sK8))), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f507,plain,( 15.15/2.51 spl30_4), 15.15/2.51 inference(avatar_split_clause,[],[f297,f504])). 15.15/2.51 tff(f297,plain,( 15.15/2.51 tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f502,plain,( 15.15/2.51 spl30_3), 15.15/2.51 inference(avatar_split_clause,[],[f299,f499])). 15.15/2.51 tff(f299,plain,( 15.15/2.51 mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f497,plain,( 15.15/2.51 spl30_2), 15.15/2.51 inference(avatar_split_clause,[],[f302,f494])). 15.15/2.51 tff(f302,plain,( 15.15/2.51 sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16)))), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 tff(f492,plain,( 15.15/2.51 spl30_1), 15.15/2.51 inference(avatar_split_clause,[],[f293,f489])). 15.15/2.51 tff(f293,plain,( 15.15/2.51 sK5 = sK11), 15.15/2.51 inference(cnf_transformation,[],[f219])). 15.15/2.51 % SZS output end Proof for theBenchmark 15.15/2.51 % (18047)------------------------------ 15.15/2.51 % (18047)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 15.15/2.51 % (18047)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 15.15/2.51 % (18047)Termination reason: Refutation 15.15/2.51 15.15/2.51 % (18047)Memory used [KB]: 41321 15.15/2.51 % (18047)Time elapsed: 2.074 s 15.15/2.51 % (18047)------------------------------ 15.15/2.51 % (18047)------------------------------ 15.15/2.51 % (18045)Success in time 2.137 s 15.15/2.51 % Vampire---4.8 exiting 15.15/2.51 EOF