0.11/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 300 0.13/0.34 % WCLimit : 300 0.13/0.34 % DateTime : Fri Jul 5 04:24:24 EDT 2024 0.13/0.35 % CPUTime : 0.13/0.37 This is a TFF_ problem 0.13/0.38 Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.38 % (18882)Running in auto input_syntax mode. Trying TPTP 0.23/0.46 % (18889)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) 0.23/0.47 % (18891)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) 0.23/0.47 % (18888)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi) 0.23/0.47 % (18887)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) 0.23/0.47 % (18885)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) 0.23/0.47 % (18886)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) 0.23/0.48 % (18890)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) 11.78/2.07 % (18889)First to succeed. 14.88/2.57 % (18889)Refutation found. Thanks to Tanya! 14.88/2.57 % SZS status Theorem for theBenchmark 14.88/2.57 % SZS output start Proof for theBenchmark 14.88/2.57 tff(type_def_5, type, uni: $tType). 14.88/2.57 tff(type_def_6, type, ty: $tType). 14.88/2.57 tff(type_def_7, type, bool1: $tType). 14.88/2.57 tff(type_def_8, type, tuple02: $tType). 14.88/2.57 tff(type_def_9, type, vertex1: $tType). 14.88/2.57 tff(type_def_10, type, set_vertex: $tType). 14.88/2.57 tff(type_def_11, type, map_vertex_int: $tType). 14.88/2.57 tff(func_def_0, type, witness1: ty > uni). 14.88/2.57 tff(func_def_1, type, int: ty). 14.88/2.57 tff(func_def_2, type, real: ty). 14.88/2.57 tff(func_def_3, type, bool: ty). 14.88/2.57 tff(func_def_4, type, true1: bool1). 14.88/2.57 tff(func_def_5, type, false1: bool1). 14.88/2.57 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 14.88/2.57 tff(func_def_7, type, tuple0: ty). 14.88/2.57 tff(func_def_8, type, tuple03: tuple02). 14.88/2.57 tff(func_def_9, type, qtmark: ty). 14.88/2.57 tff(func_def_10, type, ref: ty > ty). 14.88/2.57 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 14.88/2.57 tff(func_def_12, type, contents: (ty * uni) > uni). 14.88/2.57 tff(func_def_13, type, set: ty > ty). 14.88/2.57 tff(func_def_14, type, empty: ty > uni). 14.88/2.57 tff(func_def_15, type, add: (ty * uni * uni) > uni). 14.88/2.57 tff(func_def_16, type, remove: (ty * uni * uni) > uni). 14.88/2.57 tff(func_def_17, type, union: (ty * uni * uni) > uni). 14.88/2.57 tff(func_def_18, type, inter: (ty * uni * uni) > uni). 14.88/2.57 tff(func_def_19, type, diff: (ty * uni * uni) > uni). 14.88/2.57 tff(func_def_20, type, choose: (ty * uni) > uni). 14.88/2.57 tff(func_def_21, type, cardinal1: (ty * uni) > $int). 14.88/2.57 tff(func_def_22, type, map: (ty * ty) > ty). 14.88/2.57 tff(func_def_23, type, get: (ty * ty * uni * uni) > uni). 14.88/2.57 tff(func_def_24, type, set1: (ty * ty * uni * uni * uni) > uni). 14.88/2.57 tff(func_def_25, type, const: (ty * ty * uni) > uni). 14.88/2.57 tff(func_def_26, type, vertex: ty). 14.88/2.57 tff(func_def_27, type, v1: set_vertex). 14.88/2.57 tff(func_def_28, type, g_succ1: vertex1 > set_vertex). 14.88/2.57 tff(func_def_29, type, t2tb: set_vertex > uni). 14.88/2.57 tff(func_def_30, type, tb2t: uni > set_vertex). 14.88/2.57 tff(func_def_31, type, weight1: (vertex1 * vertex1) > $int). 14.88/2.57 tff(func_def_32, type, t2tb1: map_vertex_int > uni). 14.88/2.57 tff(func_def_33, type, tb2t1: uni > map_vertex_int). 14.88/2.57 tff(func_def_34, type, t2tb2: vertex1 > uni). 14.88/2.57 tff(func_def_35, type, tb2t2: uni > vertex1). 14.88/2.57 tff(func_def_36, type, t2tb3: $int > uni). 14.88/2.57 tff(func_def_37, type, tb2t3: uni > $int). 14.88/2.57 tff(func_def_44, type, sK0: vertex1). 14.88/2.57 tff(func_def_45, type, sK1: vertex1). 14.88/2.57 tff(func_def_46, type, sK2: map_vertex_int). 14.88/2.57 tff(func_def_47, type, sK3: set_vertex). 14.88/2.57 tff(func_def_48, type, sK4: map_vertex_int). 14.88/2.57 tff(func_def_49, type, sK5: set_vertex). 14.88/2.57 tff(func_def_50, type, sK6: set_vertex). 14.88/2.57 tff(func_def_51, type, sK7: map_vertex_int). 14.88/2.57 tff(func_def_52, type, sK8: set_vertex). 14.88/2.57 tff(func_def_53, type, sK9: bool1). 14.88/2.57 tff(func_def_54, type, sK10: set_vertex). 14.88/2.57 tff(func_def_55, type, sK11: vertex1). 14.88/2.57 tff(func_def_56, type, sK12: set_vertex). 14.88/2.57 tff(func_def_57, type, sK13: set_vertex). 14.88/2.57 tff(func_def_58, type, sK14: set_vertex). 14.88/2.57 tff(func_def_59, type, sK15: map_vertex_int). 14.88/2.57 tff(func_def_60, type, sK16: bool1). 14.88/2.57 tff(func_def_61, type, sK17: set_vertex). 14.88/2.57 tff(func_def_62, type, sK18: vertex1). 14.88/2.57 tff(func_def_63, type, sK19: set_vertex). 14.88/2.57 tff(func_def_64, type, sK20: map_vertex_int). 14.88/2.57 tff(func_def_65, type, sK21: vertex1). 14.88/2.57 tff(func_def_66, type, sK22: vertex1). 14.88/2.57 tff(func_def_67, type, sK23: vertex1). 14.88/2.57 tff(func_def_68, type, sK24: vertex1). 14.88/2.57 tff(func_def_69, type, sK25: vertex1). 14.88/2.57 tff(func_def_70, type, sK26: vertex1). 14.88/2.57 tff(func_def_71, type, sK27: vertex1 > vertex1). 14.88/2.57 tff(func_def_72, type, sK28: set_vertex > vertex1). 14.88/2.57 tff(func_def_73, type, sK29: set_vertex > vertex1). 14.88/2.57 tff(func_def_74, type, sK30: (ty * uni) > uni). 14.88/2.57 tff(func_def_75, type, sK31: (ty * uni * uni) > uni). 14.88/2.57 tff(func_def_76, type, sK32: (ty * uni * uni) > uni). 14.88/2.57 tff(func_def_77, type, sK33: (vertex1 * vertex1 * $int) > vertex1). 14.88/2.57 tff(func_def_78, type, sK34: (vertex1 * vertex1 * $int) > vertex1). 14.88/2.57 tff(func_def_79, type, sK35: (vertex1 * vertex1 * $int) > vertex1). 14.88/2.57 tff(func_def_80, type, sK36: (vertex1 * vertex1 * $int) > vertex1). 14.88/2.57 tff(func_def_81, type, sK37: (vertex1 * vertex1 * $int) > $int). 14.88/2.57 tff(func_def_82, type, sK38: (vertex1 * vertex1 * $int) > vertex1). 14.88/2.57 tff(func_def_83, type, sK39: (vertex1 * vertex1 * $int) > vertex1). 14.88/2.57 tff(func_def_84, type, sK40: (vertex1 * vertex1 * $int) > $int). 14.88/2.57 tff(func_def_85, type, sK41: (vertex1 * vertex1 * $int) > $int). 14.88/2.57 tff(func_def_86, type, sF42: uni). 14.88/2.57 tff(func_def_87, type, sF43: uni). 14.88/2.57 tff(func_def_88, type, sF44: uni). 14.88/2.57 tff(func_def_89, type, sF45: uni). 14.88/2.57 tff(func_def_90, type, sF46: set_vertex). 14.88/2.57 tff(func_def_91, type, sF47: uni). 14.88/2.57 tff(func_def_92, type, sF48: uni). 14.88/2.57 tff(func_def_93, type, sF49: uni). 14.88/2.57 tff(func_def_94, type, sF50: uni). 14.88/2.57 tff(func_def_95, type, sF51: uni). 14.88/2.57 tff(func_def_96, type, sF52: $int). 14.88/2.57 tff(func_def_97, type, sF53: $int). 14.88/2.57 tff(func_def_98, type, sF54: $int). 14.88/2.57 tff(func_def_99, type, sF55: uni). 14.88/2.57 tff(func_def_100, type, sF56: uni). 14.88/2.57 tff(func_def_101, type, sF57: $int). 14.88/2.57 tff(func_def_102, type, sF58: uni). 14.88/2.57 tff(func_def_103, type, sF59: uni). 14.88/2.57 tff(func_def_104, type, sF60: uni). 14.88/2.57 tff(func_def_105, type, sF61: $int). 14.88/2.57 tff(func_def_106, type, sF62: $int). 14.88/2.57 tff(func_def_107, type, sF63: uni). 14.88/2.57 tff(func_def_108, type, sF64: uni). 14.88/2.57 tff(func_def_109, type, sF65: map_vertex_int). 14.88/2.57 tff(func_def_110, type, sF66: uni). 14.88/2.57 tff(func_def_111, type, sF67: set_vertex). 14.88/2.57 tff(func_def_112, type, sF68: uni). 14.88/2.57 tff(func_def_113, type, sF69: $int). 14.88/2.57 tff(func_def_114, type, sF70: uni). 14.88/2.57 tff(func_def_115, type, sF71: uni). 14.88/2.57 tff(func_def_116, type, sF72: set_vertex). 14.88/2.57 tff(func_def_117, type, sF73: uni). 14.88/2.57 tff(func_def_118, type, sF74: uni). 14.88/2.57 tff(func_def_119, type, sF75: set_vertex). 14.88/2.57 tff(func_def_120, type, sF76: uni). 14.88/2.57 tff(func_def_121, type, sF77: uni). 14.88/2.57 tff(func_def_122, type, sF78: uni). 14.88/2.57 tff(func_def_123, type, sF79: uni). 14.88/2.57 tff(func_def_124, type, sF80: $int). 14.88/2.57 tff(func_def_125, type, sF81: uni). 14.88/2.57 tff(func_def_126, type, sF82: uni). 14.88/2.57 tff(func_def_127, type, sF83: set_vertex). 14.88/2.57 tff(func_def_128, type, sF84: uni). 14.88/2.57 tff(func_def_129, type, sF85: uni). 14.88/2.57 tff(func_def_130, type, sF86: $int). 14.88/2.57 tff(func_def_131, type, sF87: uni). 14.88/2.57 tff(func_def_132, type, sF88: uni). 14.88/2.57 tff(func_def_133, type, sF89: set_vertex). 14.88/2.57 tff(func_def_134, type, sF90: uni). 14.88/2.57 tff(func_def_135, type, sF91: uni). 14.88/2.57 tff(func_def_136, type, sF92: uni). 14.88/2.57 tff(func_def_137, type, sF93: $int). 14.88/2.57 tff(func_def_138, type, sF94: uni). 14.88/2.57 tff(func_def_139, type, sF95: uni). 14.88/2.57 tff(func_def_140, type, sF96: uni). 14.88/2.57 tff(func_def_141, type, sF97: uni). 14.88/2.57 tff(func_def_142, type, sF98: map_vertex_int). 14.88/2.57 tff(func_def_143, type, sF99: uni). 14.88/2.57 tff(func_def_144, type, sF100: uni). 14.88/2.57 tff(func_def_145, type, sF101: set_vertex). 14.88/2.57 tff(func_def_146, type, sF102: uni). 14.88/2.57 tff(func_def_152, type, '$inst104': $int). 14.88/2.57 tff(func_def_154, type, '$inst105': $int). 14.88/2.57 tff(func_def_155, type, '$inst106': $int). 14.88/2.57 tff(pred_def_1, type, sort1: (ty * uni) > $o). 14.88/2.57 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 14.88/2.57 tff(pred_def_3, type, infix_eqeq: (ty * uni * uni) > $o). 14.88/2.57 tff(pred_def_4, type, subset: (ty * uni * uni) > $o). 14.88/2.57 tff(pred_def_5, type, is_empty: (ty * uni) > $o). 14.88/2.57 tff(pred_def_6, type, min1: (vertex1 * set_vertex * map_vertex_int) > $o). 14.88/2.57 tff(pred_def_7, type, path1: (vertex1 * vertex1 * $int) > $o). 14.88/2.57 tff(pred_def_8, type, shortest_path1: (vertex1 * vertex1 * $int) > $o). 14.88/2.57 tff(pred_def_9, type, inv_src1: (vertex1 * set_vertex * set_vertex) > $o). 14.88/2.57 tff(pred_def_10, type, inv1: (vertex1 * set_vertex * set_vertex * map_vertex_int) > $o). 14.88/2.57 tff(pred_def_11, type, inv_succ1: (vertex1 * set_vertex * set_vertex * map_vertex_int) > $o). 14.88/2.57 tff(pred_def_12, type, inv_succ21: (vertex1 * set_vertex * set_vertex * map_vertex_int * vertex1 * set_vertex) > $o). 14.88/2.57 tff(f7193,plain,( 14.88/2.57 $false), 14.88/2.57 inference(avatar_smt_refutation,[],[f1038,f1043,f1048,f1053,f1058,f1063,f1068,f1073,f1078,f1086,f1091,f1096,f1101,f1106,f1111,f1116,f1121,f1126,f1131,f1136,f1141,f1146,f1151,f1156,f1161,f1166,f1171,f1176,f1181,f1186,f1191,f1196,f1201,f1206,f1211,f1216,f1221,f1226,f1231,f1236,f1241,f1246,f1251,f1256,f1261,f1266,f1271,f1276,f1281,f1286,f1291,f1296,f1301,f1306,f1311,f1316,f1321,f1326,f1331,f1336,f1341,f1346,f1351,f1356,f1361,f1366,f1371,f1376,f1381,f1386,f1391,f1396,f1403,f1408,f1415,f1424,f1429,f1435,f1444,f1451,f1456,f1469,f1480,f1489,f1499,f1525,f1543,f1591,f1611,f1616,f1630,f1637,f1643,f1648,f1697,f1698,f1699,f1704,f1732,f1737,f1742,f1753,f1788,f1793,f1804,f1810,f1818,f1823,f1824,f1831,f1837,f1845,f1864,f1886,f1903,f1926,f1943,f1945,f1947,f1949,f1951,f1953,f1956,f1959,f1968,f1970,f1972,f1974,f2010,f2011,f2012,f2017,f2051,f2059,f2066,f2074,f2080,f2089,f2097,f2106,f2112,f2118,f2123,f2128,f2133,f2139,f2151,f2160,f2170,f2175,f2180,f2185,f2190,f2195,f2200,f2209,f2214,f2268,f2269,f2270,f2271,f2276,f2278,f2280,f2283,f2285,f2287,f2289,f2291,f2293,f2295,f2297,f2299,f2301,f2303,f2305,f2307,f2309,f2312,f2315,f2318,f2321,f2324,f2328,f2332,f2335,f2337,f2339,f2341,f2344,f2348,f2353,f2356,f2359,f2363,f2368,f2372,f2375,f2377,f2379,f2381,f2383,f2385,f2395,f2405,f2416,f2419,f2421,f2423,f2425,f2427,f2429,f2431,f2433,f2461,f2466,f2475,f2482,f2493,f2499,f2504,f2509,f2514,f2519,f2524,f2531,f2555,f2557,f2559,f2578,f2601,f2607,f2614,f2645,f2647,f2649,f2651,f2653,f2655,f2657,f2659,f2661,f2663,f2665,f2667,f2669,f2671,f2673,f2702,f2703,f2708,f2710,f2715,f2718,f2729,f2734,f2739,f2762,f2768,f2774,f2798,f2841,f2851,f2861,f2884,f2949,f2973,f2982,f2996,f3020,f3026,f3034,f3039,f3046,f3073,f3151,f3261,f3303,f3369,f3520,f3556,f3634,f3639,f3644,f3649,f3654,f3659,f3664,f3669,f3679,f3684,f3695,f3700,f3705,f3710,f3715,f3720,f3725,f3730,f3735,f3740,f3745,f3750,f3755,f3760,f3765,f3770,f3775,f3780,f3785,f3790,f3795,f3800,f3805,f3810,f3815,f3820,f3825,f3830,f3835,f3840,f3845,f3854,f3859,f3864,f3865,f3870,f3875,f3892,f3897,f3902,f3907,f3912,f3925,f3973,f3991,f3999,f4004,f4016,f4037,f4044,f4049,f4065,f4078,f4089,f4098,f4108,f4110,f4119,f4130,f4141,f4152,f4163,f4174,f4185,f4196,f4207,f4218,f4229,f4240,f4251,f4262,f4273,f4280,f4289,f4294,f4334,f4349,f4366,f4389,f4394,f4399,f4404,f4409,f4414,f4420,f4425,f4431,f4438,f4517,f4562,f4598,f4603,f4608,f4625,f4683,f4806,f4812,f4955,f4960,f4965,f4970,f4971,f4976,f4977,f5058,f5063,f5068,f5089,f5094,f5099,f5104,f5109,f5115,f5122,f5147,f5180,f5185,f5190,f5195,f5196,f5206,f5221,f5226,f5247,f5308,f5310,f5312,f5314,f5316,f5318,f5320,f5323,f5325,f5327,f5329,f5331,f5333,f5335,f5337,f5339,f5341,f5343,f5345,f5347,f5350,f5352,f5354,f5356,f5358,f5360,f5362,f5364,f5366,f5368,f5370,f5372,f5375,f5378,f5381,f5384,f5387,f5390,f5462,f5464,f5476,f5480,f5485,f5670,f5675,f5849,f5850,f5857,f5863,f5904,f5911,f5924,f5937,f5942,f5947,f6009,f6026,f6043,f6060,f6077,f6095,f6101,f6118,f6120,f6122,f6124,f6126,f6135,f6137,f6139,f6141,f6149,f6151,f6153,f6164,f6176,f6181,f6187,f6192,f6200,f6245,f6251,f6258,f6260,f6399,f6401,f6403,f6405,f6407,f6447,f6449,f6451,f6454,f6461,f6463,f6465,f6467,f6469,f6471,f6473,f6476,f6478,f6480,f6483,f6485,f6488,f6491,f6493,f6713,f6714,f6715,f6716,f6717,f6722,f6723,f6724,f6725,f6726,f6727,f6729,f6754,f6792,f6799,f6804,f6805,f6814,f6815,f6823,f6826,f6831,f6839,f6847,f6848,f6857,f6868,f6881,f6884,f6890,f6895,f6901,f6906,f6913,f6938,f7119,f7121,f7123,f7125,f7127,f7130,f7132,f7134,f7136,f7138,f7140,f7142,f7144,f7146,f7148,f7150,f7152,f7155,f7157,f7159,f7161,f7163,f7165,f7167,f7169,f7171,f7173,f7175,f7177,f7179,f7181,f7184,f7186,f7188,f7190,f7192])). 14.88/2.57 tff(f7192,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_380), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7191])). 14.88/2.57 tff(f7191,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_380)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7092,plain,( 14.88/2.57 ~mem(vertex,sF42,sF87) | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264)), 14.88/2.57 inference(backward_demodulation,[],[f4162,f7071])). 14.88/2.57 tff(f7071,plain,( 14.88/2.57 sF42 = sF55 | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f5263])). 14.88/2.57 tff(f5263,plain,( 14.88/2.57 sF42 = sF55 | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f1402,f2150,f5255])). 14.88/2.57 tff(f5255,plain,( 14.88/2.57 mem(vertex,sF42,sF45) | sF42 = sF55 | ~sort1(vertex,sF42) | (~spl103_77 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(resolution,[],[f3321,f4106])). 14.88/2.57 tff(f4106,plain,( 14.88/2.57 mem(vertex,sF42,sF70) | ~spl103_254), 14.88/2.57 inference(avatar_component_clause,[],[f4105])). 14.88/2.57 tff(f4105,plain,( 14.88/2.57 spl103_254 <=> mem(vertex,sF42,sF70)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_254])])). 14.88/2.57 tff(f3321,plain,( 14.88/2.57 ( ! [X1 : uni] : (~mem(vertex,X1,sF70) | mem(vertex,X1,sF45) | sF55 = X1 | ~sort1(vertex,X1)) ) | (~spl103_77 | ~spl103_157)), 14.88/2.57 inference(global_subsumption,[],[f1428,f3317])). 14.88/2.57 tff(f3317,plain,( 14.88/2.57 ( ! [X1 : uni] : (mem(vertex,X1,sF45) | ~mem(vertex,X1,sF70) | sF55 = X1 | ~sort1(vertex,sF55) | ~sort1(vertex,X1)) ) | ~spl103_157), 14.88/2.57 inference(superposition,[],[f619,f2728])). 14.88/2.57 tff(f2728,plain,( 14.88/2.57 sF45 = remove(vertex,sF55,sF70) | ~spl103_157), 14.88/2.57 inference(avatar_component_clause,[],[f2726])). 14.88/2.57 tff(f2726,plain,( 14.88/2.57 spl103_157 <=> sF45 = remove(vertex,sF55,sF70)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_157])])). 14.88/2.57 tff(f619,plain,( 14.88/2.57 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,remove(X0,X2,X3)) | ~mem(X0,X1,X3) | X1 = X2 | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 14.88/2.57 inference(cnf_transformation,[],[f265])). 14.88/2.57 tff(f265,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,remove(X0,X2,X3)) | ~mem(X0,X1,X3) | X1 = X2) & ((mem(X0,X1,X3) & X1 != X2) | ~mem(X0,X1,remove(X0,X2,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 14.88/2.57 inference(flattening,[],[f264])). 14.88/2.57 tff(f264,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,remove(X0,X2,X3)) | (~mem(X0,X1,X3) | X1 = X2)) & ((mem(X0,X1,X3) & X1 != X2) | ~mem(X0,X1,remove(X0,X2,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 14.88/2.57 inference(nnf_transformation,[],[f210])). 14.88/2.57 tff(f210,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,remove(X0,X2,X3)) <=> (mem(X0,X1,X3) & X1 != X2)) | ~sort1(X0,X2) | ~sort1(X0,X1))), 14.88/2.57 inference(flattening,[],[f209])). 14.88/2.57 tff(f209,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,remove(X0,X2,X3)) <=> (mem(X0,X1,X3) & X1 != X2)) | ~sort1(X0,X2)) | ~sort1(X0,X1))), 14.88/2.57 inference(ennf_transformation,[],[f154])). 14.88/2.57 tff(f154,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (sort1(X0,X1) => (sort1(X0,X2) => (mem(X0,X1,remove(X0,X2,X3)) <=> (mem(X0,X1,X3) & X1 != X2))))), 14.88/2.57 inference(rectify,[],[f77])). 14.88/2.57 tff(f77,axiom,( 14.88/2.57 ! [X0 : ty,X7 : uni,X14 : uni,X1 : uni] : (sort1(X0,X7) => (sort1(X0,X14) => (mem(X0,X7,remove(X0,X14,X1)) <=> (mem(X0,X7,X1) & X7 != X14))))), 14.88/2.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_def1)). 14.88/2.57 tff(f1428,plain,( 14.88/2.57 sort1(vertex,sF55) | ~spl103_77), 14.88/2.57 inference(avatar_component_clause,[],[f1426])). 14.88/2.57 tff(f1426,plain,( 14.88/2.57 spl103_77 <=> sort1(vertex,sF55)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_77])])). 14.88/2.57 tff(f2150,plain,( 14.88/2.57 ~mem(vertex,sF42,sF45) | spl103_124), 14.88/2.57 inference(avatar_component_clause,[],[f2148])). 14.88/2.57 tff(f2148,plain,( 14.88/2.57 spl103_124 <=> mem(vertex,sF42,sF45)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_124])])). 14.88/2.57 tff(f1402,plain,( 14.88/2.57 sort1(vertex,sF42) | ~spl103_73), 14.88/2.57 inference(avatar_component_clause,[],[f1400])). 14.88/2.57 tff(f1400,plain,( 14.88/2.57 spl103_73 <=> sort1(vertex,sF42)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_73])])). 14.88/2.57 tff(f4162,plain,( 14.88/2.57 ~mem(vertex,sF55,sF87) | spl103_264), 14.88/2.57 inference(avatar_component_clause,[],[f4160])). 14.88/2.57 tff(f4160,plain,( 14.88/2.57 spl103_264 <=> mem(vertex,sF55,sF87)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_264])])). 14.88/2.57 tff(f4183,plain,( 14.88/2.57 mem(vertex,sF42,sF87) | ~spl103_268), 14.88/2.57 inference(avatar_component_clause,[],[f4182])). 14.88/2.57 tff(f4182,plain,( 14.88/2.57 spl103_268 <=> mem(vertex,sF42,sF87)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_268])])). 14.88/2.57 tff(f7190,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7189])). 14.88/2.57 tff(f7189,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7188,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_169 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7187])). 14.88/2.57 tff(f7187,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_169 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7186,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_149 | ~spl103_157 | ~spl103_169 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7185])). 14.88/2.57 tff(f7185,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_149 | ~spl103_157 | ~spl103_169 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7184,plain,( 14.88/2.57 ~spl103_38 | ~spl103_48 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_349), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7183])). 14.88/2.57 tff(f7183,plain,( 14.88/2.57 $false | (~spl103_38 | ~spl103_48 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_349)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7181,plain,( 14.88/2.57 ~spl103_43 | ~spl103_45 | ~spl103_46 | ~spl103_47 | ~spl103_49 | ~spl103_50 | ~spl103_54 | ~spl103_73 | ~spl103_77 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | spl103_124 | ~spl103_143 | ~spl103_145 | ~spl103_157 | ~spl103_172 | ~spl103_175 | spl103_179 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7180])). 14.88/2.57 tff(f7180,plain,( 14.88/2.57 $false | (~spl103_43 | ~spl103_45 | ~spl103_46 | ~spl103_47 | ~spl103_49 | ~spl103_50 | ~spl103_54 | ~spl103_73 | ~spl103_77 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | spl103_124 | ~spl103_143 | ~spl103_145 | ~spl103_157 | ~spl103_172 | ~spl103_175 | spl103_179 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7179,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | spl103_341), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7178])). 14.88/2.57 tff(f7178,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | spl103_341)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7177,plain,( 14.88/2.57 ~spl103_17 | ~spl103_73 | ~spl103_77 | ~spl103_79 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7176])). 14.88/2.57 tff(f7176,plain,( 14.88/2.57 $false | (~spl103_17 | ~spl103_73 | ~spl103_77 | ~spl103_79 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7175,plain,( 14.88/2.57 ~spl103_27 | ~spl103_73 | ~spl103_77 | ~spl103_80 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7174])). 14.88/2.57 tff(f7174,plain,( 14.88/2.57 $false | (~spl103_27 | ~spl103_73 | ~spl103_77 | ~spl103_80 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7173,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | spl103_140 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7172])). 14.88/2.57 tff(f7172,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | spl103_140 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7171,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | spl103_140 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7170])). 14.88/2.57 tff(f7170,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | spl103_140 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7169,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7168])). 14.88/2.57 tff(f7168,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7167,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7166])). 14.88/2.57 tff(f7166,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7165,plain,( 14.88/2.57 ~spl103_46 | ~spl103_68 | ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7164])). 14.88/2.57 tff(f7164,plain,( 14.88/2.57 $false | (~spl103_46 | ~spl103_68 | ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7163,plain,( 14.88/2.57 ~spl103_46 | ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7162])). 14.88/2.57 tff(f7162,plain,( 14.88/2.57 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7161,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7160])). 14.88/2.57 tff(f7160,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7159,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7158])). 14.88/2.57 tff(f7158,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7157,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_307), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7156])). 14.88/2.57 tff(f7156,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_307)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7155,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7154])). 14.88/2.57 tff(f7154,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7152,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7151])). 14.88/2.57 tff(f7151,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7150,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7149])). 14.88/2.57 tff(f7149,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268 | ~spl103_297)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7148,plain,( 14.88/2.57 ~spl103_46 | ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_263 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7147])). 14.88/2.57 tff(f7147,plain,( 14.88/2.57 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_263 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7146,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7145])). 14.88/2.57 tff(f7145,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | spl103_124 | ~spl103_157 | ~spl103_254 | spl103_264 | ~spl103_268)), 14.88/2.57 inference(global_subsumption,[],[f4183,f7092])). 14.88/2.57 tff(f7144,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_239 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7143])). 14.88/2.57 tff(f7143,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_239 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7075,plain,( 14.88/2.57 mem(vertex,sF42,sF43) | (~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(backward_demodulation,[],[f1821,f7071])). 14.88/2.57 tff(f1821,plain,( 14.88/2.57 mem(vertex,sF55,sF43) | ~spl103_102), 14.88/2.57 inference(avatar_component_clause,[],[f1820])). 14.88/2.57 tff(f1820,plain,( 14.88/2.57 spl103_102 <=> mem(vertex,sF55,sF43)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_102])])). 14.88/2.57 tff(f649,plain,( 14.88/2.57 ~mem(vertex,sF42,sF43)), 14.88/2.57 inference(definition_folding,[],[f514,f648,f647])). 14.88/2.57 tff(f647,plain,( 14.88/2.57 t2tb2(sK22) = sF42), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f648,plain,( 14.88/2.57 t2tb(sK12) = sF43), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f514,plain,( 14.88/2.57 ~mem(vertex,t2tb2(sK22),t2tb(sK12))), 14.88/2.57 inference(cnf_transformation,[],[f239])). 14.88/2.57 tff(f239,plain,( 14.88/2.57 (((((((((((~mem(vertex,t2tb2(sK22),t2tb(sK12)) & ~mem(vertex,t2tb2(sK22),t2tb(sK19)) & ((~mem(vertex,t2tb2(sK22),t2tb(sK17)) & sK11 = sK21) | sK11 != sK21) & mem(vertex,t2tb2(sK22),t2tb(g_succ1(sK21)))) & mem(vertex,t2tb2(sK21),t2tb(sK12))) & ($sum(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK11))),weight1(sK11,sK18)) = tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK18))) | $less(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK18))),$sum(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK11))),weight1(sK11,sK18)))) & ((mem(vertex,t2tb2(sK18),t2tb(sK19)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 & sK14 = sK19 & $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK18))))) | (~mem(vertex,t2tb2(sK18),t2tb(sK12)) & ~mem(vertex,t2tb2(sK18),t2tb(sK14)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 & tb2t(add(vertex,t2tb2(sK18),t2tb(sK14))) = sK19) | (mem(vertex,t2tb2(sK18),t2tb(sK19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK18)))) & sK15 = sK20 & sK14 = sK19) | (mem(vertex,t2tb2(sK18),t2tb(sK12)) & sK14 = sK19 & sK15 = sK20))) & mem(vertex,t2tb2(sK18),t2tb(sK13)) & sK17 = tb2t(remove(vertex,t2tb2(sK18),t2tb(sK13)))) & mem(vertex,t2tb2(sK23),t2tb(sK13)) & true1 = sK16 & (mem(vertex,t2tb2(sK24),t2tb(sK13)) | true1 != sK16) & (true1 = sK16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(sK13)))) & inv_src1(sK0,sK12,sK14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(sK14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(sK14)) | mem(vertex,t2tb2(X28),t2tb(sK12)))) | ((sK11 != X27 | mem(vertex,t2tb2(X28),t2tb(sK13))) & sK11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(sK12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK12)) | ~mem(vertex,t2tb2(X30),t2tb(sK14))) & subset(vertex,t2tb(sK14),t2tb(v1)) & subset(vertex,t2tb(sK12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK11))) | ~mem(vertex,t2tb2(X31),t2tb(sK13)))) & tb2t(add(vertex,t2tb2(sK11),t2tb(sK8))) = sK12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11)))) | ~path1(sK0,sK11,X32)) & path1(sK0,sK11,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11)))) & sK10 = tb2t(remove(vertex,t2tb2(sK11),t2tb(sK6))) & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK6))) & mem(vertex,t2tb2(sK11),t2tb(sK6))) & mem(vertex,t2tb2(sK25),t2tb(sK6)) & true1 != sK9 & (true1 = sK9 | mem(vertex,t2tb2(sK26),t2tb(sK6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(sK6)) | true1 != sK9)) & subset(vertex,t2tb(sK8),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(sK8)) | ~mem(vertex,t2tb2(X37),t2tb(sK6))) & ! [X38 : vertex1] : (path1(sK0,X38,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(sK6))) & ! [X39 : vertex1] : (! [X40 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X39))),weight1(X39,X40)),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X40)))) & (mem(vertex,t2tb2(X40),t2tb(sK8)) | mem(vertex,t2tb2(X40),t2tb(sK6)))) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39)))) | ~mem(vertex,t2tb2(X39),t2tb(sK8))) & ! [X41 : vertex1] : (! [X42 : vertex1,X43 : $int] : (mem(vertex,t2tb2(X42),t2tb(sK8)) | ~$less(X43,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X41)))) | ~path1(sK0,X42,X43)) | ($less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK27(X41)))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X41)))) & mem(vertex,t2tb2(sK27(X41)),t2tb(sK6))) | ~mem(vertex,t2tb2(X41),t2tb(sK6))) & ! [X45 : vertex1] : (shortest_path1(sK0,X45,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(sK8))) & subset(vertex,t2tb(sK6),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK0))) & inv_src1(sK0,sK8,sK6)) & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(sK5)) & tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),t2tb3(0))) = sK4 & tb2t(add(vertex,t2tb2(sK0),empty(vertex))) = sK3) & mem(vertex,t2tb2(sK1),t2tb(v1)) & mem(vertex,t2tb2(sK0),t2tb(v1))), 14.88/2.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[f221,f238,f237,f236,f235,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223,f222])). 14.88/2.57 tff(f222,plain,( 14.88/2.57 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X6 : set_vertex,X7 : map_vertex_int,X8 : set_vertex] : (? [X9 : bool1] : (? [X10 : set_vertex,X11 : vertex1] : (? [X12 : set_vertex] : (? [X13 : set_vertex,X14 : set_vertex,X15 : map_vertex_int] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(X0,X12,X14) & ! [X26 : vertex1] : (path1(X0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(X0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(X0,X11,X32)) & path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6))) & mem(vertex,t2tb2(X11),t2tb(X6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (true1 = X9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(X6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(X6)) | true1 != X9)) & subset(vertex,t2tb(X8),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (path1(X0,X38,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(X6))) & ! [X39 : vertex1] : (! [X40 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X39))),weight1(X39,X40)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X40)))) & (mem(vertex,t2tb2(X40),t2tb(X8)) | mem(vertex,t2tb2(X40),t2tb(X6)))) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39)))) | ~mem(vertex,t2tb2(X39),t2tb(X8))) & ! [X41 : vertex1] : (! [X42 : vertex1,X43 : $int] : (mem(vertex,t2tb2(X42),t2tb(X8)) | ~$less(X43,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) | ~path1(X0,X42,X43)) | ? [X44 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) & mem(vertex,t2tb2(X44),t2tb(X6))) | ~mem(vertex,t2tb2(X41),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(X0,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8))) & subset(vertex,t2tb(X6),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X0))) & inv_src1(X0,X8,X6)) & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) & mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1))) => (? [X5 : set_vertex,X4 : map_vertex_int,X3 : set_vertex] : (? [X8 : set_vertex,X7 : map_vertex_int,X6 : set_vertex] : (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(sK0,X11,X32)) & path1(sK0,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6))) & mem(vertex,t2tb2(X11),t2tb(X6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (true1 = X9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(X6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(X6)) | true1 != X9)) & subset(vertex,t2tb(X8),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (path1(sK0,X38,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(X6))) & ! [X39 : vertex1] : (! [X40 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X39))),weight1(X39,X40)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X40)))) & (mem(vertex,t2tb2(X40),t2tb(X8)) | mem(vertex,t2tb2(X40),t2tb(X6)))) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39)))) | ~mem(vertex,t2tb2(X39),t2tb(X8))) & ! [X41 : vertex1] : (! [X43 : $int,X42 : vertex1] : (mem(vertex,t2tb2(X42),t2tb(X8)) | ~$less(X43,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) | ~path1(sK0,X42,X43)) | ? [X44 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) & mem(vertex,t2tb2(X44),t2tb(X6))) | ~mem(vertex,t2tb2(X41),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(sK0,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8))) & subset(vertex,t2tb(X6),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(sK0))) & inv_src1(sK0,X8,X6)) & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(sK0),empty(vertex))) = X3) & mem(vertex,t2tb2(sK1),t2tb(v1)) & mem(vertex,t2tb2(sK0),t2tb(v1)))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f223,plain,( 14.88/2.57 ? [X5 : set_vertex,X4 : map_vertex_int,X3 : set_vertex] : (? [X8 : set_vertex,X7 : map_vertex_int,X6 : set_vertex] : (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(sK0,X11,X32)) & path1(sK0,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6))) & mem(vertex,t2tb2(X11),t2tb(X6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (true1 = X9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(X6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(X6)) | true1 != X9)) & subset(vertex,t2tb(X8),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (path1(sK0,X38,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(X6))) & ! [X39 : vertex1] : (! [X40 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X39))),weight1(X39,X40)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X40)))) & (mem(vertex,t2tb2(X40),t2tb(X8)) | mem(vertex,t2tb2(X40),t2tb(X6)))) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39)))) | ~mem(vertex,t2tb2(X39),t2tb(X8))) & ! [X41 : vertex1] : (! [X43 : $int,X42 : vertex1] : (mem(vertex,t2tb2(X42),t2tb(X8)) | ~$less(X43,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) | ~path1(sK0,X42,X43)) | ? [X44 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) & mem(vertex,t2tb2(X44),t2tb(X6))) | ~mem(vertex,t2tb2(X41),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(sK0,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8))) & subset(vertex,t2tb(X6),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(sK0))) & inv_src1(sK0,X8,X6)) & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(sK0),empty(vertex))) = X3) => (? [X8 : set_vertex,X7 : map_vertex_int,X6 : set_vertex] : (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(sK0,X11,X32)) & path1(sK0,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6))) & mem(vertex,t2tb2(X11),t2tb(X6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (true1 = X9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(X6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(X6)) | true1 != X9)) & subset(vertex,t2tb(X8),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (path1(sK0,X38,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(X6))) & ! [X39 : vertex1] : (! [X40 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X39))),weight1(X39,X40)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X40)))) & (mem(vertex,t2tb2(X40),t2tb(X8)) | mem(vertex,t2tb2(X40),t2tb(X6)))) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39)))) | ~mem(vertex,t2tb2(X39),t2tb(X8))) & ! [X41 : vertex1] : (! [X43 : $int,X42 : vertex1] : (mem(vertex,t2tb2(X42),t2tb(X8)) | ~$less(X43,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) | ~path1(sK0,X42,X43)) | ? [X44 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) & mem(vertex,t2tb2(X44),t2tb(X6))) | ~mem(vertex,t2tb2(X41),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(sK0,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8))) & subset(vertex,t2tb(X6),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(sK0))) & inv_src1(sK0,X8,X6)) & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(sK5)) & tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),t2tb3(0))) = sK4 & tb2t(add(vertex,t2tb2(sK0),empty(vertex))) = sK3)), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f224,plain,( 14.88/2.57 ? [X8 : set_vertex,X7 : map_vertex_int,X6 : set_vertex] : (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(sK0,X11,X32)) & path1(sK0,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6))) & mem(vertex,t2tb2(X11),t2tb(X6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (true1 = X9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(X6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(X6)) | true1 != X9)) & subset(vertex,t2tb(X8),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (path1(sK0,X38,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(X6))) & ! [X39 : vertex1] : (! [X40 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X39))),weight1(X39,X40)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X40)))) & (mem(vertex,t2tb2(X40),t2tb(X8)) | mem(vertex,t2tb2(X40),t2tb(X6)))) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39)))) | ~mem(vertex,t2tb2(X39),t2tb(X8))) & ! [X41 : vertex1] : (! [X43 : $int,X42 : vertex1] : (mem(vertex,t2tb2(X42),t2tb(X8)) | ~$less(X43,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) | ~path1(sK0,X42,X43)) | ? [X44 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) & mem(vertex,t2tb2(X44),t2tb(X6))) | ~mem(vertex,t2tb2(X41),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(sK0,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8))) & subset(vertex,t2tb(X6),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(sK0))) & inv_src1(sK0,X8,X6)) => (? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(sK8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) | ~path1(sK0,X11,X32)) & path1(sK0,X11,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(sK6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK6))) & mem(vertex,t2tb2(X11),t2tb(sK6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(sK6)) & true1 != X9 & (true1 = X9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(sK6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(sK6)) | true1 != X9)) & subset(vertex,t2tb(sK8),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(sK8)) | ~mem(vertex,t2tb2(X37),t2tb(sK6))) & ! [X38 : vertex1] : (path1(sK0,X38,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(sK6))) & ! [X39 : vertex1] : (! [X40 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X39))),weight1(X39,X40)),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X40)))) & (mem(vertex,t2tb2(X40),t2tb(sK8)) | mem(vertex,t2tb2(X40),t2tb(sK6)))) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39)))) | ~mem(vertex,t2tb2(X39),t2tb(sK8))) & ! [X41 : vertex1] : (! [X43 : $int,X42 : vertex1] : (mem(vertex,t2tb2(X42),t2tb(sK8)) | ~$less(X43,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X41)))) | ~path1(sK0,X42,X43)) | ? [X44 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X44))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X41)))) & mem(vertex,t2tb2(X44),t2tb(sK6))) | ~mem(vertex,t2tb2(X41),t2tb(sK6))) & ! [X45 : vertex1] : (shortest_path1(sK0,X45,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(sK8))) & subset(vertex,t2tb(sK6),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK0))) & inv_src1(sK0,sK8,sK6))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f225,plain,( 14.88/2.57 ? [X9 : bool1] : (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(sK8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) | ~path1(sK0,X11,X32)) & path1(sK0,X11,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(sK6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK6))) & mem(vertex,t2tb2(X11),t2tb(sK6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(sK6)) & true1 != X9 & (true1 = X9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(sK6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(sK6)) | true1 != X9)) => (? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(sK8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) | ~path1(sK0,X11,X32)) & path1(sK0,X11,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(sK6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK6))) & mem(vertex,t2tb2(X11),t2tb(sK6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(sK6)) & true1 != sK9 & (true1 = sK9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(sK6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(sK6)) | true1 != sK9))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f226,plain,( 14.88/2.57 ? [X11 : vertex1,X10 : set_vertex] : (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(sK8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) | ~path1(sK0,X11,X32)) & path1(sK0,X11,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(sK6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK6))) & mem(vertex,t2tb2(X11),t2tb(sK6))) => (? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((sK11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & sK11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(sK11),t2tb(sK8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11)))) | ~path1(sK0,sK11,X32)) & path1(sK0,sK11,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11)))) & sK10 = tb2t(remove(vertex,t2tb2(sK11),t2tb(sK6))) & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK6))) & mem(vertex,t2tb2(sK11),t2tb(sK6)))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f227,plain,( 14.88/2.57 ? [X12 : set_vertex] : (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,X12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((sK11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & sK11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(sK11),t2tb(sK8))) = X12) => (? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(sK12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,sK12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(sK12)))) | ((sK11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & sK11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(sK12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(sK12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(sK11),t2tb(sK8))) = sK12)), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f228,plain,( 14.88/2.57 ? [X15 : map_vertex_int,X14 : set_vertex,X13 : set_vertex] : (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(sK12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(sK0,sK12,X14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(sK12)))) | ((sK11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & sK11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(sK12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(sK12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) => (? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & sK14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK12)) & ~mem(vertex,t2tb2(X18),t2tb(sK14)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(sK14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & sK15 = X20 & sK14 = X19) | (mem(vertex,t2tb2(X18),t2tb(sK12)) & sK14 = X19 & sK15 = X20))) & mem(vertex,t2tb2(X18),t2tb(sK13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(sK13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(sK13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(sK13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(sK13)))) & inv_src1(sK0,sK12,sK14) & ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(sK14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(sK14)) | mem(vertex,t2tb2(X28),t2tb(sK12)))) | ((sK11 != X27 | mem(vertex,t2tb2(X28),t2tb(sK13))) & sK11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(sK12))) & ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK12)) | ~mem(vertex,t2tb2(X30),t2tb(sK14))) & subset(vertex,t2tb(sK14),t2tb(v1)) & subset(vertex,t2tb(sK12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK11))) | ~mem(vertex,t2tb2(X31),t2tb(sK13))))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f229,plain,( 14.88/2.57 ? [X16 : bool1] : (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & sK14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK12)) & ~mem(vertex,t2tb2(X18),t2tb(sK14)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(sK14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & sK15 = X20 & sK14 = X19) | (mem(vertex,t2tb2(X18),t2tb(sK12)) & sK14 = X19 & sK15 = X20))) & mem(vertex,t2tb2(X18),t2tb(sK13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(sK13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(sK13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(sK13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(sK13)))) => (? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & sK14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK12)) & ~mem(vertex,t2tb2(X18),t2tb(sK14)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(sK14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & sK15 = X20 & sK14 = X19) | (mem(vertex,t2tb2(X18),t2tb(sK12)) & sK14 = X19 & sK15 = X20))) & mem(vertex,t2tb2(X18),t2tb(sK13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(sK13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(sK13)) & true1 = sK16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(sK13)) | true1 != sK16) & (true1 = sK16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(sK13))))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f230,plain,( 14.88/2.57 ? [X18 : vertex1,X17 : set_vertex] : (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & (tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) = $sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & sK14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(sK12)) & ~mem(vertex,t2tb2(X18),t2tb(sK14)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(sK14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & sK15 = X20 & sK14 = X19) | (mem(vertex,t2tb2(X18),t2tb(sK12)) & sK14 = X19 & sK15 = X20))) & mem(vertex,t2tb2(X18),t2tb(sK13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(sK13))) = X17) => (? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(sK17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,sK18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,sK18)))) & ((mem(vertex,t2tb2(sK18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = X20 & sK14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK18))))) | (~mem(vertex,t2tb2(sK18),t2tb(sK12)) & ~mem(vertex,t2tb2(sK18),t2tb(sK14)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = X20 & tb2t(add(vertex,t2tb2(sK18),t2tb(sK14))) = X19) | (mem(vertex,t2tb2(sK18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK18)))) & sK15 = X20 & sK14 = X19) | (mem(vertex,t2tb2(sK18),t2tb(sK12)) & sK14 = X19 & sK15 = X20))) & mem(vertex,t2tb2(sK18),t2tb(sK13)) & sK17 = tb2t(remove(vertex,t2tb2(sK18),t2tb(sK13))))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f231,plain,( 14.88/2.57 ? [X20 : map_vertex_int,X19 : set_vertex] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(sK17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,sK18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,sK18)))) & ((mem(vertex,t2tb2(sK18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = X20 & sK14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK18))))) | (~mem(vertex,t2tb2(sK18),t2tb(sK12)) & ~mem(vertex,t2tb2(sK18),t2tb(sK14)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = X20 & tb2t(add(vertex,t2tb2(sK18),t2tb(sK14))) = X19) | (mem(vertex,t2tb2(sK18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(sK18)))) & sK15 = X20 & sK14 = X19) | (mem(vertex,t2tb2(sK18),t2tb(sK12)) & sK14 = X19 & sK15 = X20))) => (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(sK19)) & ((~mem(vertex,t2tb2(X22),t2tb(sK17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) & ($sum(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK11))),weight1(sK11,sK18)) = tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK18))) | $less(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK18))),$sum(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK11))),weight1(sK11,sK18)))) & ((mem(vertex,t2tb2(sK18),t2tb(sK19)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 & sK14 = sK19 & $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK18))))) | (~mem(vertex,t2tb2(sK18),t2tb(sK12)) & ~mem(vertex,t2tb2(sK18),t2tb(sK14)) & tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 & tb2t(add(vertex,t2tb2(sK18),t2tb(sK14))) = sK19) | (mem(vertex,t2tb2(sK18),t2tb(sK19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK18)))) & sK15 = sK20 & sK14 = sK19) | (mem(vertex,t2tb2(sK18),t2tb(sK12)) & sK14 = sK19 & sK15 = sK20)))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f232,plain,( 14.88/2.57 ? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(sK19)) & ((~mem(vertex,t2tb2(X22),t2tb(sK17)) & sK11 = X21) | sK11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(sK12))) => (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(sK19)) & ((~mem(vertex,t2tb2(X22),t2tb(sK17)) & sK11 = sK21) | sK11 != sK21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(sK21)))) & mem(vertex,t2tb2(sK21),t2tb(sK12)))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f233,plain,( 14.88/2.57 ? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(sK12)) & ~mem(vertex,t2tb2(X22),t2tb(sK19)) & ((~mem(vertex,t2tb2(X22),t2tb(sK17)) & sK11 = sK21) | sK11 != sK21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(sK21)))) => (~mem(vertex,t2tb2(sK22),t2tb(sK12)) & ~mem(vertex,t2tb2(sK22),t2tb(sK19)) & ((~mem(vertex,t2tb2(sK22),t2tb(sK17)) & sK11 = sK21) | sK11 != sK21) & mem(vertex,t2tb2(sK22),t2tb(g_succ1(sK21))))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f234,plain,( 14.88/2.57 ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(sK13)) => mem(vertex,t2tb2(sK23),t2tb(sK13))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f235,plain,( 14.88/2.57 ? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(sK13)) => mem(vertex,t2tb2(sK24),t2tb(sK13))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f236,plain,( 14.88/2.57 ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(sK6)) => mem(vertex,t2tb2(sK25),t2tb(sK6))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f237,plain,( 14.88/2.57 ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(sK6)) => mem(vertex,t2tb2(sK26),t2tb(sK6))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f238,plain,( 14.88/2.57 ! [X41 : vertex1] : (? [X44 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X44))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X41)))) & mem(vertex,t2tb2(X44),t2tb(sK6))) => ($less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK27(X41)))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X41)))) & mem(vertex,t2tb2(sK27(X41)),t2tb(sK6))))), 14.88/2.57 introduced(choice_axiom,[])). 14.88/2.57 tff(f221,plain,( 14.88/2.57 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X6 : set_vertex,X7 : map_vertex_int,X8 : set_vertex] : (? [X9 : bool1] : (? [X10 : set_vertex,X11 : vertex1] : (? [X12 : set_vertex] : (? [X13 : set_vertex,X14 : set_vertex,X15 : map_vertex_int] : (? [X16 : bool1] : (? [X17 : set_vertex,X18 : vertex1] : (? [X19 : set_vertex,X20 : map_vertex_int] : (? [X21 : vertex1] : (? [X22 : vertex1] : (~mem(vertex,t2tb2(X22),t2tb(X12)) & ~mem(vertex,t2tb2(X22),t2tb(X19)) & ((~mem(vertex,t2tb2(X22),t2tb(X17)) & X11 = X21) | X11 != X21) & mem(vertex,t2tb2(X22),t2tb(g_succ1(X21)))) & mem(vertex,t2tb2(X21),t2tb(X12))) & ($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)) = tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))) | $less(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18))),$sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)))) & ((mem(vertex,t2tb2(X18),t2tb(X19)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & X14 = X19 & $less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X18))))) | (~mem(vertex,t2tb2(X18),t2tb(X12)) & ~mem(vertex,t2tb2(X18),t2tb(X14)) & tb2t1(set1(int,vertex,t2tb1(X15),t2tb2(X18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X11))),weight1(X11,X18))))) = X20 & tb2t(add(vertex,t2tb2(X18),t2tb(X14))) = X19) | (mem(vertex,t2tb2(X18),t2tb(X19)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X11))),weight1(X11,X18)),tb2t3(get(int,vertex,t2tb1(X20),t2tb2(X18)))) & X15 = X20 & X14 = X19) | (mem(vertex,t2tb2(X18),t2tb(X12)) & X14 = X19 & X15 = X20))) & mem(vertex,t2tb2(X18),t2tb(X13)) & tb2t(remove(vertex,t2tb2(X18),t2tb(X13))) = X17) & ? [X23 : vertex1] : mem(vertex,t2tb2(X23),t2tb(X13)) & true1 = X16 & (? [X24 : vertex1] : mem(vertex,t2tb2(X24),t2tb(X13)) | true1 != X16) & (true1 = X16 | ! [X25 : vertex1] : ~mem(vertex,t2tb2(X25),t2tb(X13)))) & inv_src1(X0,X12,X14) & ! [X26 : vertex1] : (path1(X0,X26,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(X14))) & ! [X27 : vertex1] : (! [X28 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X27))),weight1(X27,X28)),tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X28)))) & (mem(vertex,t2tb2(X28),t2tb(X14)) | mem(vertex,t2tb2(X28),t2tb(X12)))) | ((X11 != X27 | mem(vertex,t2tb2(X28),t2tb(X13))) & X11 = X27) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27)))) | ~mem(vertex,t2tb2(X27),t2tb(X12))) & ! [X29 : vertex1] : (shortest_path1(X0,X29,tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(X12))) & ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(X12)) | ~mem(vertex,t2tb2(X30),t2tb(X14))) & subset(vertex,t2tb(X14),t2tb(v1)) & subset(vertex,t2tb(X12),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X15),t2tb2(X0))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(X11))) | ~mem(vertex,t2tb2(X31),t2tb(X13)))) & tb2t(add(vertex,t2tb2(X11),t2tb(X8))) = X12) & ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~path1(X0,X11,X32)) & path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) & tb2t(remove(vertex,t2tb2(X11),t2tb(X6))) = X10 & ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) | ~mem(vertex,t2tb2(X33),t2tb(X6))) & mem(vertex,t2tb2(X11),t2tb(X6))) & ? [X34 : vertex1] : mem(vertex,t2tb2(X34),t2tb(X6)) & true1 != X9 & (true1 = X9 | ? [X35 : vertex1] : mem(vertex,t2tb2(X35),t2tb(X6))) & (! [X36 : vertex1] : ~mem(vertex,t2tb2(X36),t2tb(X6)) | true1 != X9)) & subset(vertex,t2tb(X8),t2tb(v1)) & ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(X8)) | ~mem(vertex,t2tb2(X37),t2tb(X6))) & ! [X38 : vertex1] : (path1(X0,X38,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(X6))) & ! [X39 : vertex1] : (! [X40 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X39))),weight1(X39,X40)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X40)))) & (mem(vertex,t2tb2(X40),t2tb(X8)) | mem(vertex,t2tb2(X40),t2tb(X6)))) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39)))) | ~mem(vertex,t2tb2(X39),t2tb(X8))) & ! [X41 : vertex1] : (! [X42 : vertex1,X43 : $int] : (mem(vertex,t2tb2(X42),t2tb(X8)) | ~$less(X43,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) | ~path1(X0,X42,X43)) | ? [X44 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X44))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X41)))) & mem(vertex,t2tb2(X44),t2tb(X6))) | ~mem(vertex,t2tb2(X41),t2tb(X6))) & ! [X45 : vertex1] : (shortest_path1(X0,X45,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(X8))) & subset(vertex,t2tb(X6),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X0))) & inv_src1(X0,X8,X6)) & ! [X46 : vertex1] : ~mem(vertex,t2tb2(X46),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) & mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1)))), 14.88/2.57 inference(rectify,[],[f220])). 14.88/2.57 tff(f220,plain,( 14.88/2.57 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (? [X22 : set_vertex,X23 : vertex1] : (? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : (? [X43 : vertex1] : (? [X44 : vertex1] : (~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41)) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) & ((mem(vertex,t2tb2(X40),t2tb(X41)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & X28 = X41 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X26)) & ~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41) | (mem(vertex,t2tb2(X40),t2tb(X41)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40)))) & X29 = X42 & X28 = X41) | (mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42))) & mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27)) & true1 = X36 & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) | true1 != X36) & (true1 = X36 | ! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27)))) & inv_src1(X0,X26,X28) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X28)) | mem(vertex,t2tb2(X32),t2tb(X26)))) | ((X23 != X31 | mem(vertex,t2tb2(X32),t2tb(X27))) & X23 = X31) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & subset(vertex,t2tb(X26),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27)))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7))) & mem(vertex,t2tb2(X23),t2tb(X7))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7)) & true1 != X19 & (true1 = X19 | ? [X20 : vertex1] : mem(vertex,t2tb2(X20),t2tb(X7))) & (! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) | true1 != X19)) & subset(vertex,t2tb(X9),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) | ~mem(vertex,t2tb2(X11),t2tb(X7))) & ! [X12 : vertex1] : (! [X13 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X13)))) & (mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X7)))) | ~mem(vertex,t2tb2(X13),t2tb(g_succ1(X12)))) | ~mem(vertex,t2tb2(X12),t2tb(X9))) & ! [X14 : vertex1] : (! [X16 : vertex1,X17 : $int] : (mem(vertex,t2tb2(X16),t2tb(X9)) | ~$less(X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) | ~path1(X0,X16,X17)) | ? [X15 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) & mem(vertex,t2tb2(X15),t2tb(X7))) | ~mem(vertex,t2tb2(X14),t2tb(X7))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9))) & subset(vertex,t2tb(X7),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & inv_src1(X0,X9,X7)) & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) & mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1)))), 14.88/2.57 inference(flattening,[],[f219])). 14.88/2.57 tff(f219,plain,( 14.88/2.57 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (? [X22 : set_vertex,X23 : vertex1] : (? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : (? [X43 : vertex1] : (? [X44 : vertex1] : (~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41)) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) & ((mem(vertex,t2tb2(X40),t2tb(X41)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & X28 = X41 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X26)) & ~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41) | (mem(vertex,t2tb2(X40),t2tb(X41)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40)))) & X29 = X42 & X28 = X41) | (mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42))) & mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27)) & true1 = X36 & ((? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) | true1 != X36) & (true1 = X36 | ! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27))))) & inv_src1(X0,X26,X28) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X28)) | mem(vertex,t2tb2(X32),t2tb(X26)))) | ((X23 != X31 | mem(vertex,t2tb2(X32),t2tb(X27))) & X23 = X31) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & subset(vertex,t2tb(X26),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27)))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7))) & mem(vertex,t2tb2(X23),t2tb(X7))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7)) & true1 != X19 & ((true1 = X19 | ? [X20 : vertex1] : mem(vertex,t2tb2(X20),t2tb(X7))) & (! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)) | true1 != X19))) & subset(vertex,t2tb(X9),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) | ~mem(vertex,t2tb2(X11),t2tb(X7))) & ! [X12 : vertex1] : (! [X13 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X13)))) & (mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X7)))) | ~mem(vertex,t2tb2(X13),t2tb(g_succ1(X12)))) | ~mem(vertex,t2tb2(X12),t2tb(X9))) & ! [X14 : vertex1] : (! [X16 : vertex1,X17 : $int] : (mem(vertex,t2tb2(X16),t2tb(X9)) | ~$less(X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) | ~path1(X0,X16,X17)) | ? [X15 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) & mem(vertex,t2tb2(X15),t2tb(X7))) | ~mem(vertex,t2tb2(X14),t2tb(X7))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9))) & subset(vertex,t2tb(X7),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & inv_src1(X0,X9,X7)) & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) & mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1)))), 14.88/2.57 inference(nnf_transformation,[],[f171])). 14.88/2.57 tff(f171,plain,( 14.88/2.57 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (? [X22 : set_vertex,X23 : vertex1] : (? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : (? [X43 : vertex1] : (? [X44 : vertex1] : (~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41)) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) & ((mem(vertex,t2tb2(X40),t2tb(X41)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & X28 = X41 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X26)) & ~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41) | (mem(vertex,t2tb2(X40),t2tb(X41)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40)))) & X29 = X42 & X28 = X41) | (mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42))) & mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27)) & true1 = X36 & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36)) & inv_src1(X0,X26,X28) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X28)) | mem(vertex,t2tb2(X32),t2tb(X26)))) | ((X23 != X31 | mem(vertex,t2tb2(X32),t2tb(X27))) & X23 = X31) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & subset(vertex,t2tb(X26),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27)))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & ! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) & tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7))) & mem(vertex,t2tb2(X23),t2tb(X7))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7)) & true1 != X19 & (true1 = X19 <=> ! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)))) & subset(vertex,t2tb(X9),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) | ~mem(vertex,t2tb2(X11),t2tb(X7))) & ! [X12 : vertex1] : (! [X13 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X13)))) & (mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X7)))) | ~mem(vertex,t2tb2(X13),t2tb(g_succ1(X12)))) | ~mem(vertex,t2tb2(X12),t2tb(X9))) & ! [X14 : vertex1] : (! [X16 : vertex1,X17 : $int] : (mem(vertex,t2tb2(X16),t2tb(X9)) | ~$less(X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) | ~path1(X0,X16,X17)) | ? [X15 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) & mem(vertex,t2tb2(X15),t2tb(X7))) | ~mem(vertex,t2tb2(X14),t2tb(X7))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9))) & subset(vertex,t2tb(X7),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & inv_src1(X0,X9,X7)) & ! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) & mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1)))), 14.88/2.57 inference(flattening,[],[f170])). 14.88/2.57 tff(f170,plain,( 14.88/2.57 ? [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : (? [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : (? [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : (? [X19 : bool1] : (((? [X22 : set_vertex,X23 : vertex1] : ((? [X26 : set_vertex] : (? [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : (? [X36 : bool1] : (((? [X39 : set_vertex,X40 : vertex1] : (? [X41 : set_vertex,X42 : map_vertex_int] : ((? [X43 : vertex1] : (? [X44 : vertex1] : (((~mem(vertex,t2tb2(X44),t2tb(X26)) & ~mem(vertex,t2tb2(X44),t2tb(X41))) & ((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43)) & mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))) & mem(vertex,t2tb2(X43),t2tb(X26))) & ($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40))))) & ((mem(vertex,t2tb2(X40),t2tb(X41)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & X28 = X41 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X26)) & ~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41) | (mem(vertex,t2tb2(X40),t2tb(X41)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40)))) & X29 = X42 & X28 = X41) | (mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42))) & (mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39)) & ? [X38 : vertex1] : mem(vertex,t2tb2(X38),t2tb(X27))) & true1 = X36) & (? [X37 : vertex1] : mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36)) & (inv_src1(X0,X26,X28) & ! [X30 : vertex1] : (path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30)))) | ~mem(vertex,t2tb2(X30),t2tb(X28))) & ! [X31 : vertex1] : (! [X32 : vertex1] : (((~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X28)) | mem(vertex,t2tb2(X32),t2tb(X26)))) | ((X23 != X31 | mem(vertex,t2tb2(X32),t2tb(X27))) & X23 = X31)) | ~mem(vertex,t2tb2(X32),t2tb(g_succ1(X31)))) | ~mem(vertex,t2tb2(X31),t2tb(X26))) & ! [X33 : vertex1] : (shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33)))) | ~mem(vertex,t2tb2(X33),t2tb(X26))) & ! [X34 : vertex1] : (~mem(vertex,t2tb2(X34),t2tb(X26)) | ~mem(vertex,t2tb2(X34),t2tb(X28))) & subset(vertex,t2tb(X28),t2tb(v1)) & subset(vertex,t2tb(X26),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))) | ~mem(vertex,t2tb2(X35),t2tb(X27))))) & tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26) & (! [X25 : $int] : (~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~path1(X0,X23,X25)) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))))) & (tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23)))) | ~mem(vertex,t2tb2(X24),t2tb(X7))) & mem(vertex,t2tb2(X23),t2tb(X7)))) & ? [X21 : vertex1] : mem(vertex,t2tb2(X21),t2tb(X7))) & true1 != X19) & (true1 = X19 <=> ! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7)))) & (subset(vertex,t2tb(X9),t2tb(v1)) & ! [X10 : vertex1] : (~mem(vertex,t2tb2(X10),t2tb(X9)) | ~mem(vertex,t2tb2(X10),t2tb(X7))) & ! [X11 : vertex1] : (path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11)))) | ~mem(vertex,t2tb2(X11),t2tb(X7))) & ! [X12 : vertex1] : (! [X13 : vertex1] : ((~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X13)))) & (mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X7)))) | ~mem(vertex,t2tb2(X13),t2tb(g_succ1(X12)))) | ~mem(vertex,t2tb2(X12),t2tb(X9))) & ! [X14 : vertex1] : (! [X16 : vertex1,X17 : $int] : ((mem(vertex,t2tb2(X16),t2tb(X9)) | ~$less(X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14))))) | ~path1(X0,X16,X17)) | (? [X15 : vertex1] : ($less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) & mem(vertex,t2tb2(X15),t2tb(X7))) | ~mem(vertex,t2tb2(X14),t2tb(X7)))) & ! [X18 : vertex1] : (shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18)))) | ~mem(vertex,t2tb2(X18),t2tb(X9))) & subset(vertex,t2tb(X7),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & inv_src1(X0,X9,X7))) & (! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3)) & (mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1))))), 14.88/2.57 inference(ennf_transformation,[],[f94])). 14.88/2.57 tff(f94,plain,( 14.88/2.57 ~! [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : ((mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1))) => ! [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : ((! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) => ! [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : ((subset(vertex,t2tb(X9),t2tb(v1)) & ! [X10 : vertex1] : (mem(vertex,t2tb2(X10),t2tb(X7)) => ~mem(vertex,t2tb2(X10),t2tb(X9))) & ! [X11 : vertex1] : (mem(vertex,t2tb2(X11),t2tb(X7)) => path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11))))) & ! [X12 : vertex1] : (mem(vertex,t2tb2(X12),t2tb(X9)) => ! [X13 : vertex1] : (mem(vertex,t2tb2(X13),t2tb(g_succ1(X12))) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X13)))) & (mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X7)))))) & ! [X14 : vertex1] : ((! [X15 : vertex1] : (mem(vertex,t2tb2(X15),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14))))) & mem(vertex,t2tb2(X14),t2tb(X7))) => ! [X16 : vertex1,X17 : $int] : (path1(X0,X16,X17) => ($less(X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) => mem(vertex,t2tb2(X16),t2tb(X9))))) & ! [X18 : vertex1] : (mem(vertex,t2tb2(X18),t2tb(X9)) => shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18))))) & subset(vertex,t2tb(X7),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & inv_src1(X0,X9,X7)) => ! [X19 : bool1] : ((true1 = X19 <=> ! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7))) => (true1 != X19 => (~! [X21 : vertex1] : ~mem(vertex,t2tb2(X21),t2tb(X7)) => ! [X22 : set_vertex,X23 : vertex1] : ((tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (mem(vertex,t2tb2(X24),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & mem(vertex,t2tb2(X23),t2tb(X7))) => ((! [X25 : $int] : (path1(X0,X23,X25) => ~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) => ! [X26 : set_vertex] : (tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 => ! [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : ((inv_src1(X0,X26,X28) & ! [X30 : vertex1] : (mem(vertex,t2tb2(X30),t2tb(X28)) => path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30))))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(X26)) => ! [X32 : vertex1] : (mem(vertex,t2tb2(X32),t2tb(g_succ1(X31))) => (((X23 = X31 & ~mem(vertex,t2tb2(X32),t2tb(X27))) | X23 != X31) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X28)) | mem(vertex,t2tb2(X32),t2tb(X26))))))) & ! [X33 : vertex1] : (mem(vertex,t2tb2(X33),t2tb(X26)) => shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))))) & ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(X28)) => ~mem(vertex,t2tb2(X34),t2tb(X26))) & subset(vertex,t2tb(X28),t2tb(v1)) & subset(vertex,t2tb(X26),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(X27)) => mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))))) => ! [X36 : bool1] : ((~! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36) => (true1 = X36 => (~! [X38 : vertex1] : ~mem(vertex,t2tb2(X38),t2tb(X27)) => ! [X39 : set_vertex,X40 : vertex1] : ((mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X40),t2tb(X41)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & X28 = X41 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X26)) & ~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41) | (mem(vertex,t2tb2(X40),t2tb(X41)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40)))) & X29 = X42 & X28 = X41) | (mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42)) => (($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) => ! [X43 : vertex1] : (mem(vertex,t2tb2(X43),t2tb(X26)) => ! [X44 : vertex1] : (mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) => (((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) => (mem(vertex,t2tb2(X44),t2tb(X26)) | mem(vertex,t2tb2(X44),t2tb(X41))))))))))))))))))))))), 14.88/2.57 inference(flattening,[],[f93])). 14.88/2.57 tff(f93,plain,( 14.88/2.57 ~! [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : ((mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1))) => ! [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : ((! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) => ! [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : ((subset(vertex,t2tb(X9),t2tb(v1)) & ! [X10 : vertex1] : (mem(vertex,t2tb2(X10),t2tb(X7)) => ~mem(vertex,t2tb2(X10),t2tb(X9))) & ! [X11 : vertex1] : (mem(vertex,t2tb2(X11),t2tb(X7)) => path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11))))) & ! [X12 : vertex1] : (mem(vertex,t2tb2(X12),t2tb(X9)) => ! [X13 : vertex1] : (mem(vertex,t2tb2(X13),t2tb(g_succ1(X12))) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X13)))) & (mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X7)))))) & ! [X14 : vertex1] : ((! [X15 : vertex1] : (mem(vertex,t2tb2(X15),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14))))) & mem(vertex,t2tb2(X14),t2tb(X7))) => ! [X16 : vertex1,X17 : $int] : (path1(X0,X16,X17) => ($less(X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) => mem(vertex,t2tb2(X16),t2tb(X9))))) & ! [X18 : vertex1] : (mem(vertex,t2tb2(X18),t2tb(X9)) => shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18))))) & subset(vertex,t2tb(X7),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & inv_src1(X0,X9,X7)) => ! [X19 : bool1] : ((true1 = X19 <=> ! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7))) => (true1 != X19 => (~! [X21 : vertex1] : ~mem(vertex,t2tb2(X21),t2tb(X7)) => ! [X22 : set_vertex,X23 : vertex1] : ((tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (mem(vertex,t2tb2(X24),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & mem(vertex,t2tb2(X23),t2tb(X7))) => ((! [X25 : $int] : (path1(X0,X23,X25) => ~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) => ! [X26 : set_vertex] : (tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 => ! [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : ((inv_src1(X0,X26,X28) & ! [X30 : vertex1] : (mem(vertex,t2tb2(X30),t2tb(X28)) => path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30))))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(X26)) => ! [X32 : vertex1] : (mem(vertex,t2tb2(X32),t2tb(g_succ1(X31))) => (((X23 = X31 & ~mem(vertex,t2tb2(X32),t2tb(X27))) | X23 != X31) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X28)) | mem(vertex,t2tb2(X32),t2tb(X26))))))) & ! [X33 : vertex1] : (mem(vertex,t2tb2(X33),t2tb(X26)) => shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))))) & ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(X28)) => ~mem(vertex,t2tb2(X34),t2tb(X26))) & subset(vertex,t2tb(X28),t2tb(v1)) & subset(vertex,t2tb(X26),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(X27)) => mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))))) => ! [X36 : bool1] : ((~! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36) => (true1 = X36 => (~! [X38 : vertex1] : ~mem(vertex,t2tb2(X38),t2tb(X27)) => ! [X39 : set_vertex,X40 : vertex1] : ((mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X40),t2tb(X41)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & X28 = X41 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X26)) & ~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41) | (mem(vertex,t2tb2(X40),t2tb(X41)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40)))) & X29 = X42 & X28 = X41) | (mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42)) => (($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) => ! [X43 : vertex1] : (mem(vertex,t2tb2(X43),t2tb(X26)) => ! [X44 : vertex1] : (mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) => (((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) => (mem(vertex,t2tb2(X44),t2tb(X26)) | mem(vertex,t2tb2(X44),t2tb(X41))))))))))))))))))))))), 14.88/2.57 inference(true_and_false_elimination,[],[f92])). 14.88/2.57 tff(f92,plain,( 14.88/2.57 ~! [X0 : vertex1,X1 : vertex1,X2 : map_vertex_int] : ((mem(vertex,t2tb2(X1),t2tb(v1)) & mem(vertex,t2tb2(X0),t2tb(v1))) => ! [X3 : set_vertex,X4 : map_vertex_int,X5 : set_vertex] : ((! [X6 : vertex1] : ~mem(vertex,t2tb2(X6),t2tb(X5)) & tb2t1(set1(int,vertex,t2tb1(X2),t2tb2(X0),t2tb3(0))) = X4 & tb2t(add(vertex,t2tb2(X0),empty(vertex))) = X3) => ! [X7 : set_vertex,X8 : map_vertex_int,X9 : set_vertex] : ((subset(vertex,t2tb(X9),t2tb(v1)) & ! [X10 : vertex1] : (mem(vertex,t2tb2(X10),t2tb(X7)) => (mem(vertex,t2tb2(X10),t2tb(X9)) => $false)) & ! [X11 : vertex1] : (mem(vertex,t2tb2(X11),t2tb(X7)) => path1(X0,X11,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X11))))) & ! [X12 : vertex1] : (mem(vertex,t2tb2(X12),t2tb(X9)) => ! [X13 : vertex1] : (mem(vertex,t2tb2(X13),t2tb(g_succ1(X12))) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X12))),weight1(X12,X13)),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X13)))) & (mem(vertex,t2tb2(X13),t2tb(X9)) | mem(vertex,t2tb2(X13),t2tb(X7)))))) & ! [X14 : vertex1] : ((! [X15 : vertex1] : (mem(vertex,t2tb2(X15),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14))))) & mem(vertex,t2tb2(X14),t2tb(X7))) => ! [X16 : vertex1,X17 : $int] : (path1(X0,X16,X17) => ($less(X17,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X14)))) => mem(vertex,t2tb2(X16),t2tb(X9))))) & ! [X18 : vertex1] : (mem(vertex,t2tb2(X18),t2tb(X9)) => shortest_path1(X0,X18,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X18))))) & subset(vertex,t2tb(X7),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X0))) & inv_src1(X0,X9,X7)) => ! [X19 : bool1] : ((true1 = X19 <=> ! [X20 : vertex1] : ~mem(vertex,t2tb2(X20),t2tb(X7))) => (true1 != X19 => (~! [X21 : vertex1] : ~mem(vertex,t2tb2(X21),t2tb(X7)) => ! [X22 : set_vertex,X23 : vertex1] : ((tb2t(remove(vertex,t2tb2(X23),t2tb(X7))) = X22 & ! [X24 : vertex1] : (mem(vertex,t2tb2(X24),t2tb(X7)) => ~$less(tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & mem(vertex,t2tb2(X23),t2tb(X7))) => ((! [X25 : $int] : (path1(X0,X23,X25) => ~$less(X25,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) & path1(X0,X23,tb2t3(get(int,vertex,t2tb1(X8),t2tb2(X23))))) => ! [X26 : set_vertex] : (tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 => ! [X27 : set_vertex,X28 : set_vertex,X29 : map_vertex_int] : ((inv_src1(X0,X26,X28) & ! [X30 : vertex1] : (mem(vertex,t2tb2(X30),t2tb(X28)) => path1(X0,X30,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X30))))) & ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(X26)) => ! [X32 : vertex1] : (mem(vertex,t2tb2(X32),t2tb(g_succ1(X31))) => (((X23 = X31 & ~mem(vertex,t2tb2(X32),t2tb(X27))) | X23 != X31) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31))),weight1(X31,X32)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) & (mem(vertex,t2tb2(X32),t2tb(X28)) | mem(vertex,t2tb2(X32),t2tb(X26))))))) & ! [X33 : vertex1] : (mem(vertex,t2tb2(X33),t2tb(X26)) => shortest_path1(X0,X33,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))))) & ! [X34 : vertex1] : (mem(vertex,t2tb2(X34),t2tb(X28)) => (mem(vertex,t2tb2(X34),t2tb(X26)) => $false)) & subset(vertex,t2tb(X28),t2tb(v1)) & subset(vertex,t2tb(X26),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X0))) & ! [X35 : vertex1] : (mem(vertex,t2tb2(X35),t2tb(X27)) => mem(vertex,t2tb2(X35),t2tb(g_succ1(X23))))) => ! [X36 : bool1] : ((~! [X37 : vertex1] : ~mem(vertex,t2tb2(X37),t2tb(X27)) <=> true1 = X36) => (true1 = X36 => (~! [X38 : vertex1] : ~mem(vertex,t2tb2(X38),t2tb(X27)) => ! [X39 : set_vertex,X40 : vertex1] : ((mem(vertex,t2tb2(X40),t2tb(X27)) & tb2t(remove(vertex,t2tb2(X40),t2tb(X27))) = X39) => ! [X41 : set_vertex,X42 : map_vertex_int] : (((mem(vertex,t2tb2(X40),t2tb(X41)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & X28 = X41 & $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X40))))) | (~mem(vertex,t2tb2(X40),t2tb(X26)) & ~mem(vertex,t2tb2(X40),t2tb(X28)) & tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X40),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X40))))) = X42 & tb2t(add(vertex,t2tb2(X40),t2tb(X28))) = X41) | (mem(vertex,t2tb2(X40),t2tb(X41)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40)))) & X29 = X42 & X28 = X41) | (mem(vertex,t2tb2(X40),t2tb(X26)) & X28 = X41 & X29 = X42)) => (($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))) | $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X40))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X40)))) => ! [X43 : vertex1] : (mem(vertex,t2tb2(X43),t2tb(X26)) => ! [X44 : vertex1] : (mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) => (((~mem(vertex,t2tb2(X44),t2tb(X39)) & X23 = X43) | X23 != X43) => (mem(vertex,t2tb2(X44),t2tb(X26)) | mem(vertex,t2tb2(X44),t2tb(X41))))))))))))))))))))))), 14.88/2.57 inference(rectify,[],[f80])). 14.88/2.57 tff(f80,plain,( 14.88/2.57 ~! [X21 : vertex1,X28 : vertex1,X11 : map_vertex_int] : ((mem(vertex,t2tb2(X28),t2tb(v1)) & mem(vertex,t2tb2(X21),t2tb(v1))) => ! [X10 : set_vertex,X29 : map_vertex_int,X30 : set_vertex] : ((! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X30)) & tb2t1(set1(int,vertex,t2tb1(X11),t2tb2(X21),t2tb3(0))) = X29 & tb2t(add(vertex,t2tb2(X21),empty(vertex))) = X10) => ! [X31 : set_vertex,X32 : map_vertex_int,X33 : set_vertex] : ((subset(vertex,t2tb(X33),t2tb(v1)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => (mem(vertex,t2tb2(X22),t2tb(X33)) => $false)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X33)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),weight1(X7,X14)),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X14)))) & (mem(vertex,t2tb2(X14),t2tb(X33)) | mem(vertex,t2tb2(X14),t2tb(X31)))))) & ! [X9 : vertex1] : ((! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => ~$less(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9))))) & mem(vertex,t2tb2(X9),t2tb(X31))) => ! [X7 : vertex1,X34 : $int] : (path1(X21,X7,X34) => ($less(X34,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9)))) => mem(vertex,t2tb2(X7),t2tb(X33))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X33)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & subset(vertex,t2tb(X31),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X21))) & inv_src1(X21,X33,X31)) => ! [X35 : bool1] : ((true1 = X35 <=> ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31))) => (true1 != X35 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31)) => ! [X36 : set_vertex,X13 : vertex1] : ((tb2t(remove(vertex,t2tb2(X13),t2tb(X31))) = X36 & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => ~$less(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))))) & mem(vertex,t2tb2(X13),t2tb(X31))) => ((! [X20 : $int] : (path1(X21,X13,X20) => ~$less(X20,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))))) & path1(X21,X13,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))))) => ! [X37 : set_vertex] : (tb2t(add(vertex,t2tb2(X13),t2tb(X33))) = X37 => ! [X24 : set_vertex,X38 : set_vertex,X39 : map_vertex_int] : ((inv_src1(X21,X37,X38) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((X7 = X13 & ~mem(vertex,t2tb2(X14),t2tb(X24))) | X7 != X13) => (~$less($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X7))),weight1(X7,X14)),tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X14)))) & (mem(vertex,t2tb2(X14),t2tb(X38)) | mem(vertex,t2tb2(X14),t2tb(X37))))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X37)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => (mem(vertex,t2tb2(X22),t2tb(X37)) => $false)) & subset(vertex,t2tb(X38),t2tb(v1)) & subset(vertex,t2tb(X37),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X21))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X24)) => mem(vertex,t2tb2(X7),t2tb(g_succ1(X13))))) => ! [X40 : bool1] : ((~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) <=> true1 = X40) => (true1 = X40 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) => ! [X41 : set_vertex,X22 : vertex1] : ((mem(vertex,t2tb2(X22),t2tb(X24)) & tb2t(remove(vertex,t2tb2(X22),t2tb(X24))) = X41) => ! [X42 : set_vertex,X43 : map_vertex_int] : (((mem(vertex,t2tb2(X22),t2tb(X42)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & X38 = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22)),tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) | (~mem(vertex,t2tb2(X22),t2tb(X37)) & ~mem(vertex,t2tb2(X22),t2tb(X38)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & tb2t(add(vertex,t2tb2(X22),t2tb(X38))) = X42) | (mem(vertex,t2tb2(X22),t2tb(X42)) & ~$less($sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22)),tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22)))) & X39 = X43 & X38 = X42) | (mem(vertex,t2tb2(X22),t2tb(X37)) & X38 = X42 & X39 = X43)) => ((tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))) = $sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22)) | $less(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22)))) => ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((~mem(vertex,t2tb2(X14),t2tb(X41)) & X7 = X13) | X7 != X13) => (mem(vertex,t2tb2(X14),t2tb(X37)) | mem(vertex,t2tb2(X14),t2tb(X42))))))))))))))))))))))), 14.88/2.57 inference(theory_normalization,[],[f64])). 14.88/2.57 tff(f64,negated_conjecture,( 14.88/2.57 ~! [X21 : vertex1,X28 : vertex1,X11 : map_vertex_int] : ((mem(vertex,t2tb2(X28),t2tb(v1)) & mem(vertex,t2tb2(X21),t2tb(v1))) => ! [X10 : set_vertex,X29 : map_vertex_int,X30 : set_vertex] : ((! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X30)) & tb2t1(set1(int,vertex,t2tb1(X11),t2tb2(X21),t2tb3(0))) = X29 & tb2t(add(vertex,t2tb2(X21),empty(vertex))) = X10) => ! [X31 : set_vertex,X32 : map_vertex_int,X33 : set_vertex] : ((subset(vertex,t2tb(X33),t2tb(v1)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => (mem(vertex,t2tb2(X22),t2tb(X33)) => $false)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X33)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => ($lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),weight1(X7,X14))) & (mem(vertex,t2tb2(X14),t2tb(X33)) | mem(vertex,t2tb2(X14),t2tb(X31)))))) & ! [X9 : vertex1] : ((! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))))) & mem(vertex,t2tb2(X9),t2tb(X31))) => ! [X7 : vertex1,X34 : $int] : (path1(X21,X7,X34) => ($less(X34,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9)))) => mem(vertex,t2tb2(X7),t2tb(X33))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X33)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & subset(vertex,t2tb(X31),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X21))) & inv_src1(X21,X33,X31)) => ! [X35 : bool1] : ((true1 = X35 <=> ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31))) => (true1 != X35 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31)) => ! [X36 : set_vertex,X13 : vertex1] : ((tb2t(remove(vertex,t2tb2(X13),t2tb(X31))) = X36 & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))))) & mem(vertex,t2tb2(X13),t2tb(X31))) => ((! [X20 : $int] : (path1(X21,X13,X20) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))),X20)) & path1(X21,X13,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))))) => ! [X37 : set_vertex] : (tb2t(add(vertex,t2tb2(X13),t2tb(X33))) = X37 => ! [X24 : set_vertex,X38 : set_vertex,X39 : map_vertex_int] : ((inv_src1(X21,X37,X38) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((X7 = X13 & ~mem(vertex,t2tb2(X14),t2tb(X24))) | X7 != X13) => ($lesseq(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X7))),weight1(X7,X14))) & (mem(vertex,t2tb2(X14),t2tb(X38)) | mem(vertex,t2tb2(X14),t2tb(X37))))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X37)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => (mem(vertex,t2tb2(X22),t2tb(X37)) => $false)) & subset(vertex,t2tb(X38),t2tb(v1)) & subset(vertex,t2tb(X37),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X21))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X24)) => mem(vertex,t2tb2(X7),t2tb(g_succ1(X13))))) => ! [X40 : bool1] : ((~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) <=> true1 = X40) => (true1 = X40 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) => ! [X41 : set_vertex,X22 : vertex1] : ((mem(vertex,t2tb2(X22),t2tb(X24)) & tb2t(remove(vertex,t2tb2(X22),t2tb(X24))) = X41) => ! [X42 : set_vertex,X43 : map_vertex_int] : (((mem(vertex,t2tb2(X22),t2tb(X42)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & X38 = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22)),tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) | (~mem(vertex,t2tb2(X22),t2tb(X37)) & ~mem(vertex,t2tb2(X22),t2tb(X38)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & tb2t(add(vertex,t2tb2(X22),t2tb(X38))) = X42) | (mem(vertex,t2tb2(X22),t2tb(X42)) & $lesseq(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) & X39 = X43 & X38 = X42) | (mem(vertex,t2tb2(X22),t2tb(X37)) & X38 = X42 & X39 = X43)) => ((tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))) = $sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22)) | $less(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22)))) => ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((~mem(vertex,t2tb2(X14),t2tb(X41)) & X7 = X13) | X7 != X13) => (mem(vertex,t2tb2(X14),t2tb(X37)) | mem(vertex,t2tb2(X14),t2tb(X42))))))))))))))))))))))), 14.88/2.57 inference(negated_conjecture,[],[f63])). 14.88/2.57 tff(f63,conjecture,( 14.88/2.57 ! [X21 : vertex1,X28 : vertex1,X11 : map_vertex_int] : ((mem(vertex,t2tb2(X28),t2tb(v1)) & mem(vertex,t2tb2(X21),t2tb(v1))) => ! [X10 : set_vertex,X29 : map_vertex_int,X30 : set_vertex] : ((! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X30)) & tb2t1(set1(int,vertex,t2tb1(X11),t2tb2(X21),t2tb3(0))) = X29 & tb2t(add(vertex,t2tb2(X21),empty(vertex))) = X10) => ! [X31 : set_vertex,X32 : map_vertex_int,X33 : set_vertex] : ((subset(vertex,t2tb(X33),t2tb(v1)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => (mem(vertex,t2tb2(X22),t2tb(X33)) => $false)) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X31)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X33)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => ($lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))),weight1(X7,X14))) & (mem(vertex,t2tb2(X14),t2tb(X33)) | mem(vertex,t2tb2(X14),t2tb(X31)))))) & ! [X9 : vertex1] : ((! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))))) & mem(vertex,t2tb2(X9),t2tb(X31))) => ! [X7 : vertex1,X34 : $int] : (path1(X21,X7,X34) => ($less(X34,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X9)))) => mem(vertex,t2tb2(X7),t2tb(X33))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X33)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X22))))) & subset(vertex,t2tb(X31),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X21))) & inv_src1(X21,X33,X31)) => ! [X35 : bool1] : ((true1 = X35 <=> ! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31))) => (true1 != X35 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X31)) => ! [X36 : set_vertex,X13 : vertex1] : ((tb2t(remove(vertex,t2tb2(X13),t2tb(X31))) = X36 & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X31)) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))),tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X7))))) & mem(vertex,t2tb2(X13),t2tb(X31))) => ((! [X20 : $int] : (path1(X21,X13,X20) => $lesseq(tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))),X20)) & path1(X21,X13,tb2t3(get(int,vertex,t2tb1(X32),t2tb2(X13))))) => ! [X37 : set_vertex] : (tb2t(add(vertex,t2tb2(X13),t2tb(X33))) = X37 => ! [X24 : set_vertex,X38 : set_vertex,X39 : map_vertex_int] : ((inv_src1(X21,X37,X38) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((X7 = X13 & ~mem(vertex,t2tb2(X14),t2tb(X24))) | X7 != X13) => ($lesseq(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X14))),$sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X7))),weight1(X7,X14))) & (mem(vertex,t2tb2(X14),t2tb(X38)) | mem(vertex,t2tb2(X14),t2tb(X37))))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X37)) => shortest_path1(X21,X22,tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) & ! [X22 : vertex1] : (mem(vertex,t2tb2(X22),t2tb(X38)) => (mem(vertex,t2tb2(X22),t2tb(X37)) => $false)) & subset(vertex,t2tb(X38),t2tb(v1)) & subset(vertex,t2tb(X37),t2tb(v1)) & 0 = tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X21))) & ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X24)) => mem(vertex,t2tb2(X7),t2tb(g_succ1(X13))))) => ! [X40 : bool1] : ((~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) <=> true1 = X40) => (true1 = X40 => (~! [X7 : vertex1] : ~mem(vertex,t2tb2(X7),t2tb(X24)) => ! [X41 : set_vertex,X22 : vertex1] : ((mem(vertex,t2tb2(X22),t2tb(X24)) & tb2t(remove(vertex,t2tb2(X22),t2tb(X24))) = X41) => ! [X42 : set_vertex,X43 : map_vertex_int] : (((mem(vertex,t2tb2(X22),t2tb(X42)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & X38 = X42 & $less($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22)),tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X22))))) | (~mem(vertex,t2tb2(X22),t2tb(X37)) & ~mem(vertex,t2tb2(X22),t2tb(X38)) & tb2t1(set1(int,vertex,t2tb1(X39),t2tb2(X22),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X39),t2tb2(X13))),weight1(X13,X22))))) = X43 & tb2t(add(vertex,t2tb2(X22),t2tb(X38))) = X42) | (mem(vertex,t2tb2(X22),t2tb(X42)) & $lesseq(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22))) & X39 = X43 & X38 = X42) | (mem(vertex,t2tb2(X22),t2tb(X37)) & X38 = X42 & X39 = X43)) => ((tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))) = $sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22)) | $less(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X22))),$sum(tb2t3(get(int,vertex,t2tb1(X43),t2tb2(X13))),weight1(X13,X22)))) => ! [X7 : vertex1] : (mem(vertex,t2tb2(X7),t2tb(X37)) => ! [X14 : vertex1] : (mem(vertex,t2tb2(X14),t2tb(g_succ1(X7))) => (((~mem(vertex,t2tb2(X14),t2tb(X41)) & X7 = X13) | X7 != X13) => (mem(vertex,t2tb2(X14),t2tb(X37)) | mem(vertex,t2tb2(X14),t2tb(X42))))))))))))))))))))))), 14.88/2.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_shortest_path_code)). 14.88/2.57 tff(f7142,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_187 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7141])). 14.88/2.57 tff(f7141,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_187 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7140,plain,( 14.88/2.57 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7139])). 14.88/2.57 tff(f7139,plain,( 14.88/2.57 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7138,plain,( 14.88/2.57 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7137])). 14.88/2.57 tff(f7137,plain,( 14.88/2.57 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7136,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7135])). 14.88/2.57 tff(f7135,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7134,plain,( 14.88/2.57 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7133])). 14.88/2.57 tff(f7133,plain,( 14.88/2.57 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7132,plain,( 14.88/2.57 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7131])). 14.88/2.57 tff(f7131,plain,( 14.88/2.57 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7130,plain,( 14.88/2.57 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7129])). 14.88/2.57 tff(f7129,plain,( 14.88/2.57 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7127,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_169 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7126])). 14.88/2.57 tff(f7126,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_169 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7125,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7124])). 14.88/2.57 tff(f7124,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7123,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_143 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7122])). 14.88/2.57 tff(f7122,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_143 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7121,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_102 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7120])). 14.88/2.57 tff(f7120,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_102 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f7119,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.57 inference(avatar_contradiction_clause,[],[f7118])). 14.88/2.57 tff(f7118,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_102 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.57 inference(global_subsumption,[],[f649,f7075])). 14.88/2.57 tff(f6938,plain,( 14.88/2.57 ~spl103_382 | ~spl103_85 | spl103_287), 14.88/2.57 inference(avatar_split_clause,[],[f6806,f4286,f1486,f6935])). 14.88/2.57 tff(f6935,plain,( 14.88/2.57 spl103_382 <=> sF53 = sF54), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_382])])). 14.88/2.57 tff(f1486,plain,( 14.88/2.57 spl103_85 <=> sF54 = sF57), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_85])])). 14.88/2.57 tff(f4286,plain,( 14.88/2.57 spl103_287 <=> sF53 = sF57), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_287])])). 14.88/2.57 tff(f6806,plain,( 14.88/2.57 sF53 != sF54 | (~spl103_85 | spl103_287)), 14.88/2.57 inference(superposition,[],[f4288,f1488])). 14.88/2.57 tff(f1488,plain,( 14.88/2.57 sF54 = sF57 | ~spl103_85), 14.88/2.57 inference(avatar_component_clause,[],[f1486])). 14.88/2.57 tff(f4288,plain,( 14.88/2.57 sF53 != sF57 | spl103_287), 14.88/2.57 inference(avatar_component_clause,[],[f4286])). 14.88/2.57 tff(f6913,plain,( 14.88/2.57 ~spl103_381 | spl103_233 | ~spl103_338), 14.88/2.57 inference(avatar_split_clause,[],[f6793,f5473,f3909,f6910])). 14.88/2.57 tff(f6910,plain,( 14.88/2.57 spl103_381 <=> sF54 = -1), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_381])])). 14.88/2.57 tff(f3909,plain,( 14.88/2.57 spl103_233 <=> sF69 = -1), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_233])])). 14.88/2.57 tff(f5473,plain,( 14.88/2.57 spl103_338 <=> sF54 = sF69), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_338])])). 14.88/2.57 tff(f6793,plain,( 14.88/2.57 sF54 != -1 | (spl103_233 | ~spl103_338)), 14.88/2.57 inference(superposition,[],[f3911,f5474])). 14.88/2.57 tff(f5474,plain,( 14.88/2.57 sF54 = sF69 | ~spl103_338), 14.88/2.57 inference(avatar_component_clause,[],[f5473])). 14.88/2.57 tff(f3911,plain,( 14.88/2.57 sF69 != -1 | spl103_233), 14.88/2.57 inference(avatar_component_clause,[],[f3909])). 14.88/2.57 tff(f6906,plain,( 14.88/2.57 spl103_380 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_174 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6520,f3043,f3036,f3023,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1248,f6903])). 14.88/2.57 tff(f6903,plain,( 14.88/2.57 spl103_380 <=> sF49 = set1(int,vertex,sF49,sF55,sF56)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_380])])). 14.88/2.57 tff(f1248,plain,( 14.88/2.57 spl103_43 <=> t2tb1(sK20) = sF49), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_43])])). 14.88/2.57 tff(f1258,plain,( 14.88/2.57 spl103_45 <=> tb2t3(sF51) = sF52), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_45])])). 14.88/2.57 tff(f1278,plain,( 14.88/2.57 spl103_49 <=> t2tb1(sK15) = sF59), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_49])])). 14.88/2.57 tff(f1283,plain,( 14.88/2.57 spl103_50 <=> tb2t3(sF60) = sF61), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_50])])). 14.88/2.57 tff(f1701,plain,( 14.88/2.57 spl103_95 <=> sK15 = sK20), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_95])])). 14.88/2.57 tff(f2056,plain,( 14.88/2.57 spl103_111 <=> mem(vertex,sF55,sF44)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_111])])). 14.88/2.57 tff(f2125,plain,( 14.88/2.57 spl103_120 <=> $sum(sF52,sF53) = sF54), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_120])])). 14.88/2.57 tff(f3023,plain,( 14.88/2.57 spl103_172 <=> sF57 = $sum(sF61,sF53)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_172])])). 14.88/2.57 tff(f3036,plain,( 14.88/2.57 spl103_174 <=> sF49 = set1(int,vertex,sF59,sF55,sF56)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_174])])). 14.88/2.57 tff(f3043,plain,( 14.88/2.57 spl103_175 <=> sF57 = sF62), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_175])])). 14.88/2.57 tff(f6520,plain,( 14.88/2.57 sF49 = set1(int,vertex,sF49,sF55,sF56) | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_174 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f3038,f6511])). 14.88/2.57 tff(f6511,plain,( 14.88/2.57 sF49 = sF59 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f1280,f6510])). 14.88/2.57 tff(f6510,plain,( 14.88/2.57 t2tb1(sK15) = sF49 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f1250,f6507])). 14.88/2.57 tff(f6507,plain,( 14.88/2.57 sK15 = sK20 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(global_subsumption,[],[f1821,f1020,f2058])). 14.88/2.57 tff(f2058,plain,( 14.88/2.57 ~mem(vertex,sF55,sF44) | spl103_111), 14.88/2.57 inference(avatar_component_clause,[],[f2056])). 14.88/2.57 tff(f1020,plain,( 14.88/2.57 mem(vertex,sF55,sF44) | ~mem(vertex,sF55,sF43) | sK15 = sK20), 14.88/2.57 inference(duplicate_literal_removal,[],[f671])). 14.88/2.57 tff(f671,plain,( 14.88/2.57 mem(vertex,sF55,sF44) | ~mem(vertex,sF55,sF43) | mem(vertex,sF55,sF44) | sK15 = sK20), 14.88/2.57 inference(definition_folding,[],[f505,f650,f665,f648,f665,f650,f665])). 14.88/2.57 tff(f665,plain,( 14.88/2.57 t2tb2(sK18) = sF55), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f650,plain,( 14.88/2.57 t2tb(sK19) = sF44), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f505,plain,( 14.88/2.57 mem(vertex,t2tb2(sK18),t2tb(sK19)) | ~mem(vertex,t2tb2(sK18),t2tb(sK12)) | mem(vertex,t2tb2(sK18),t2tb(sK19)) | sK15 = sK20), 14.88/2.57 inference(cnf_transformation,[],[f239])). 14.88/2.57 tff(f1250,plain,( 14.88/2.57 t2tb1(sK20) = sF49 | ~spl103_43), 14.88/2.57 inference(avatar_component_clause,[],[f1248])). 14.88/2.57 tff(f1280,plain,( 14.88/2.57 t2tb1(sK15) = sF59 | ~spl103_49), 14.88/2.57 inference(avatar_component_clause,[],[f1278])). 14.88/2.57 tff(f3038,plain,( 14.88/2.57 sF49 = set1(int,vertex,sF59,sF55,sF56) | ~spl103_174), 14.88/2.57 inference(avatar_component_clause,[],[f3036])). 14.88/2.57 tff(f6901,plain,( 14.88/2.57 ~spl103_379 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175 | spl103_188), 14.88/2.57 inference(avatar_split_clause,[],[f6575,f3656,f3043,f3023,f2506,f2496,f2144,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1253,f1248,f1243,f1238,f1233,f6898])). 14.88/2.57 tff(f6898,plain,( 14.88/2.57 spl103_379 <=> $less(sF52,0)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_379])])). 14.88/2.57 tff(f1233,plain,( 14.88/2.57 spl103_40 <=> g_succ1(sK21) = sF46), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_40])])). 14.88/2.57 tff(f1238,plain,( 14.88/2.57 spl103_41 <=> t2tb(sF46) = sF47), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_41])])). 14.88/2.57 tff(f1243,plain,( 14.88/2.57 spl103_42 <=> t2tb2(sK21) = sF48), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_42])])). 14.88/2.57 tff(f1253,plain,( 14.88/2.57 spl103_44 <=> t2tb2(sK11) = sF50), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_44])])). 14.88/2.57 tff(f2144,plain,( 14.88/2.57 spl103_123 <=> sK11 = sK21), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_123])])). 14.88/2.57 tff(f2496,plain,( 14.88/2.57 spl103_142 <=> get(int,vertex,sF49,sF50) = sF51), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_142])])). 14.88/2.57 tff(f2506,plain,( 14.88/2.57 spl103_144 <=> get(int,vertex,sF59,sF50) = sF60), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_144])])). 14.88/2.57 tff(f3656,plain,( 14.88/2.57 spl103_188 <=> $less(sF61,0)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_188])])). 14.88/2.57 tff(f6575,plain,( 14.88/2.57 ~$less(sF52,0) | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175 | spl103_188)), 14.88/2.57 inference(backward_demodulation,[],[f3658,f6570])). 14.88/2.57 tff(f6570,plain,( 14.88/2.57 sF52 = sF61 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(forward_demodulation,[],[f6569,f1260])). 14.88/2.57 tff(f1260,plain,( 14.88/2.57 tb2t3(sF51) = sF52 | ~spl103_45), 14.88/2.57 inference(avatar_component_clause,[],[f1258])). 14.88/2.57 tff(f6569,plain,( 14.88/2.57 tb2t3(sF51) = sF61 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f1285,f6566])). 14.88/2.57 tff(f6566,plain,( 14.88/2.57 sF51 = sF60 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(forward_demodulation,[],[f6550,f6330])). 14.88/2.57 tff(f6330,plain,( 14.88/2.57 sF51 = get(int,vertex,sF49,sF48) | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_142)), 14.88/2.57 inference(backward_demodulation,[],[f2498,f6325])). 14.88/2.57 tff(f6325,plain,( 14.88/2.57 sF48 = sF50 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123)), 14.88/2.57 inference(backward_demodulation,[],[f1255,f6263])). 14.88/2.57 tff(f6263,plain,( 14.88/2.57 t2tb2(sK11) = sF48 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_123)), 14.88/2.57 inference(backward_demodulation,[],[f1245,f6261])). 14.88/2.57 tff(f6261,plain,( 14.88/2.57 sK11 = sK21 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_123)), 14.88/2.57 inference(global_subsumption,[],[f2145])). 14.88/2.57 tff(f2145,plain,( 14.88/2.57 sK11 = sK21 | ~spl103_123), 14.88/2.57 inference(avatar_component_clause,[],[f2144])). 14.88/2.57 tff(f1245,plain,( 14.88/2.57 t2tb2(sK21) = sF48 | ~spl103_42), 14.88/2.57 inference(avatar_component_clause,[],[f1243])). 14.88/2.57 tff(f1255,plain,( 14.88/2.57 t2tb2(sK11) = sF50 | ~spl103_44), 14.88/2.57 inference(avatar_component_clause,[],[f1253])). 14.88/2.57 tff(f2498,plain,( 14.88/2.57 get(int,vertex,sF49,sF50) = sF51 | ~spl103_142), 14.88/2.57 inference(avatar_component_clause,[],[f2496])). 14.88/2.57 tff(f6550,plain,( 14.88/2.57 sF60 = get(int,vertex,sF49,sF48) | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_144 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f6331,f6511])). 14.88/2.57 tff(f6331,plain,( 14.88/2.57 sF60 = get(int,vertex,sF59,sF48) | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_144)), 14.88/2.57 inference(backward_demodulation,[],[f2508,f6325])). 14.88/2.57 tff(f2508,plain,( 14.88/2.57 get(int,vertex,sF59,sF50) = sF60 | ~spl103_144), 14.88/2.57 inference(avatar_component_clause,[],[f2506])). 14.88/2.57 tff(f1285,plain,( 14.88/2.57 tb2t3(sF60) = sF61 | ~spl103_50), 14.88/2.57 inference(avatar_component_clause,[],[f1283])). 14.88/2.57 tff(f3658,plain,( 14.88/2.57 ~$less(sF61,0) | spl103_188), 14.88/2.57 inference(avatar_component_clause,[],[f3656])). 14.88/2.57 tff(f6895,plain,( 14.88/2.57 spl103_378 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_146 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6516,f3043,f3023,f2516,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1248,f6892])). 14.88/2.57 tff(f6892,plain,( 14.88/2.57 spl103_378 <=> sF79 = get(int,vertex,sF49,sF78)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_378])])). 14.88/2.57 tff(f2516,plain,( 14.88/2.57 spl103_146 <=> get(int,vertex,sF59,sF78) = sF79), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_146])])). 14.88/2.57 tff(f6516,plain,( 14.88/2.57 sF79 = get(int,vertex,sF49,sF78) | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_146 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f2518,f6511])). 14.88/2.57 tff(f2518,plain,( 14.88/2.57 get(int,vertex,sF59,sF78) = sF79 | ~spl103_146), 14.88/2.57 inference(avatar_component_clause,[],[f2516])). 14.88/2.57 tff(f6890,plain,( 14.88/2.57 ~spl103_377 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175 | spl103_185), 14.88/2.57 inference(avatar_split_clause,[],[f6574,f3641,f3043,f3023,f2506,f2496,f2144,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1253,f1248,f1243,f1238,f1233,f6887])). 14.88/2.57 tff(f6887,plain,( 14.88/2.57 spl103_377 <=> $less(sF52,sF86)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_377])])). 14.88/2.57 tff(f3641,plain,( 14.88/2.57 spl103_185 <=> $less(sF61,sF86)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_185])])). 14.88/2.57 tff(f6574,plain,( 14.88/2.57 ~$less(sF52,sF86) | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175 | spl103_185)), 14.88/2.57 inference(backward_demodulation,[],[f3643,f6570])). 14.88/2.57 tff(f3643,plain,( 14.88/2.57 ~$less(sF61,sF86) | spl103_185), 14.88/2.57 inference(avatar_component_clause,[],[f3641])). 14.88/2.57 tff(f6884,plain,( 14.88/2.57 spl103_326 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_147), 14.88/2.57 inference(avatar_split_clause,[],[f6332,f2521,f2144,f1253,f1243,f1238,f1233,f5106])). 14.88/2.57 tff(f5106,plain,( 14.88/2.57 spl103_326 <=> sF85 = get(int,vertex,sF84,sF48)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_326])])). 14.88/2.57 tff(f2521,plain,( 14.88/2.57 spl103_147 <=> get(int,vertex,sF84,sF50) = sF85), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_147])])). 14.88/2.57 tff(f6332,plain,( 14.88/2.57 sF85 = get(int,vertex,sF84,sF48) | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_147)), 14.88/2.57 inference(backward_demodulation,[],[f2523,f6325])). 14.88/2.57 tff(f2523,plain,( 14.88/2.57 get(int,vertex,sF84,sF50) = sF85 | ~spl103_147), 14.88/2.57 inference(avatar_component_clause,[],[f2521])). 14.88/2.57 tff(f6881,plain,( 14.88/2.57 spl103_323 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_142), 14.88/2.57 inference(avatar_split_clause,[],[f6330,f2496,f2144,f1253,f1243,f1238,f1233,f5091])). 14.88/2.57 tff(f5091,plain,( 14.88/2.57 spl103_323 <=> sF51 = get(int,vertex,sF49,sF48)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_323])])). 14.88/2.57 tff(f6868,plain,( 14.88/2.57 spl103_114 | ~spl103_38 | ~spl103_48 | ~spl103_102 | ~spl103_126), 14.88/2.57 inference(avatar_split_clause,[],[f6627,f2167,f1820,f1273,f1223,f2077])). 14.88/2.57 tff(f2077,plain,( 14.88/2.57 spl103_114 <=> sF66 = add(vertex,sF55,sF44)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_114])])). 14.88/2.57 tff(f1223,plain,( 14.88/2.57 spl103_38 <=> t2tb(sK19) = sF44), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_38])])). 14.88/2.57 tff(f1273,plain,( 14.88/2.57 spl103_48 <=> t2tb(sK14) = sF58), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_48])])). 14.88/2.57 tff(f2167,plain,( 14.88/2.57 spl103_126 <=> add(vertex,sF55,sF58) = sF66), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_126])])). 14.88/2.57 tff(f6627,plain,( 14.88/2.57 sF66 = add(vertex,sF55,sF44) | (~spl103_38 | ~spl103_48 | ~spl103_102 | ~spl103_126)), 14.88/2.57 inference(backward_demodulation,[],[f2169,f6622])). 14.88/2.57 tff(f6622,plain,( 14.88/2.57 sF44 = sF58 | (~spl103_38 | ~spl103_48 | ~spl103_102)), 14.88/2.57 inference(backward_demodulation,[],[f1275,f6615])). 14.88/2.57 tff(f6615,plain,( 14.88/2.57 t2tb(sK14) = sF44 | (~spl103_38 | ~spl103_102)), 14.88/2.57 inference(backward_demodulation,[],[f1225,f6614])). 14.88/2.57 tff(f6614,plain,( 14.88/2.57 sK14 = sK19 | ~spl103_102), 14.88/2.57 inference(global_subsumption,[],[f6597,f979])). 14.88/2.57 tff(f979,plain,( 14.88/2.57 sK14 = sK19 | ~mem(vertex,sF55,sF43)), 14.88/2.57 inference(duplicate_literal_removal,[],[f785])). 14.88/2.57 tff(f785,plain,( 14.88/2.57 sK14 = sK19 | ~mem(vertex,sF55,sF43) | sK14 = sK19 | sK14 = sK19), 14.88/2.57 inference(definition_folding,[],[f401,f648,f665])). 14.88/2.57 tff(f401,plain,( 14.88/2.57 sK14 = sK19 | ~mem(vertex,t2tb2(sK18),t2tb(sK12)) | sK14 = sK19 | sK14 = sK19), 14.88/2.57 inference(cnf_transformation,[],[f239])). 14.88/2.57 tff(f6597,plain,( 14.88/2.57 mem(vertex,sF55,sF43) | ~spl103_102), 14.88/2.57 inference(global_subsumption,[],[f1821])). 14.88/2.57 tff(f1225,plain,( 14.88/2.57 t2tb(sK19) = sF44 | ~spl103_38), 14.88/2.57 inference(avatar_component_clause,[],[f1223])). 14.88/2.57 tff(f1275,plain,( 14.88/2.57 t2tb(sK14) = sF58 | ~spl103_48), 14.88/2.57 inference(avatar_component_clause,[],[f1273])). 14.88/2.57 tff(f2169,plain,( 14.88/2.57 add(vertex,sF55,sF58) = sF66 | ~spl103_126), 14.88/2.57 inference(avatar_component_clause,[],[f2167])). 14.88/2.57 tff(f6857,plain,( 14.88/2.57 spl103_320 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_159), 14.88/2.57 inference(avatar_split_clause,[],[f6333,f2736,f2144,f1253,f1243,f1238,f1233,f5060])). 14.88/2.57 tff(f5060,plain,( 14.88/2.57 spl103_320 <=> sF43 = add(vertex,sF48,sF81)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_320])])). 14.88/2.57 tff(f2736,plain,( 14.88/2.57 spl103_159 <=> sF43 = add(vertex,sF50,sF81)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_159])])). 14.88/2.57 tff(f6333,plain,( 14.88/2.57 sF43 = add(vertex,sF48,sF81) | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_159)), 14.88/2.57 inference(backward_demodulation,[],[f2738,f6325])). 14.88/2.57 tff(f2738,plain,( 14.88/2.57 sF43 = add(vertex,sF50,sF81) | ~spl103_159), 14.88/2.57 inference(avatar_component_clause,[],[f2736])). 14.88/2.57 tff(f6848,plain,( 14.88/2.57 spl103_319 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_131), 14.88/2.57 inference(avatar_split_clause,[],[f6329,f2192,f2144,f1253,f1243,f1238,f1233,f5055])). 14.88/2.57 tff(f5055,plain,( 14.88/2.57 spl103_319 <=> sF88 = remove(vertex,sF48,sF87)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_319])])). 14.88/2.57 tff(f2192,plain,( 14.88/2.57 spl103_131 <=> remove(vertex,sF50,sF87) = sF88), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_131])])). 14.88/2.57 tff(f6329,plain,( 14.88/2.57 sF88 = remove(vertex,sF48,sF87) | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123 | ~spl103_131)), 14.88/2.57 inference(backward_demodulation,[],[f2194,f6325])). 14.88/2.57 tff(f2194,plain,( 14.88/2.57 remove(vertex,sF50,sF87) = sF88 | ~spl103_131), 14.88/2.57 inference(avatar_component_clause,[],[f2192])). 14.88/2.57 tff(f6847,plain,( 14.88/2.57 ~spl103_376 | ~spl103_43 | ~spl103_45 | ~spl103_47 | ~spl103_49 | ~spl103_50 | ~spl103_54 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_143 | ~spl103_145 | ~spl103_172 | ~spl103_175 | spl103_181), 14.88/2.57 inference(avatar_split_clause,[],[f6557,f3517,f3043,f3023,f2511,f2501,f2125,f2056,f1820,f1701,f1303,f1283,f1278,f1268,f1258,f1248,f6844])). 14.88/2.57 tff(f6844,plain,( 14.88/2.57 spl103_376 <=> $less(sF54,0)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_376])])). 14.88/2.57 tff(f1268,plain,( 14.88/2.57 spl103_47 <=> tb2t3(sF56) = sF57), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_47])])). 14.88/2.57 tff(f1303,plain,( 14.88/2.57 spl103_54 <=> tb2t3(sF68) = sF69), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_54])])). 14.88/2.57 tff(f2501,plain,( 14.88/2.57 spl103_143 <=> get(int,vertex,sF49,sF55) = sF56), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_143])])). 14.88/2.57 tff(f2511,plain,( 14.88/2.57 spl103_145 <=> get(int,vertex,sF59,sF55) = sF68), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_145])])). 14.88/2.57 tff(f3517,plain,( 14.88/2.57 spl103_181 <=> $less(sF69,0)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_181])])). 14.88/2.57 tff(f6557,plain,( 14.88/2.57 ~$less(sF54,0) | (~spl103_43 | ~spl103_45 | ~spl103_47 | ~spl103_49 | ~spl103_50 | ~spl103_54 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_143 | ~spl103_145 | ~spl103_172 | ~spl103_175 | spl103_181)), 14.88/2.57 inference(backward_demodulation,[],[f3519,f6555])). 14.88/2.57 tff(f6555,plain,( 14.88/2.57 sF54 = sF69 | (~spl103_43 | ~spl103_45 | ~spl103_47 | ~spl103_49 | ~spl103_50 | ~spl103_54 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_143 | ~spl103_145 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(forward_demodulation,[],[f6554,f6495])). 14.88/2.57 tff(f6495,plain,( 14.88/2.57 sF54 = tb2t3(sF56) | (~spl103_43 | ~spl103_45 | ~spl103_47 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_120 | ~spl103_172)), 14.88/2.57 inference(backward_demodulation,[],[f1270,f6494])). 14.88/2.57 tff(f6494,plain,( 14.88/2.57 sF54 = sF57 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_120 | ~spl103_172)), 14.88/2.57 inference(global_subsumption,[],[f2245,f3028])). 14.88/2.57 tff(f3028,plain,( 14.88/2.57 sF54 = sF57 | sF52 != sF61 | (~spl103_120 | ~spl103_172)), 14.88/2.57 inference(constrained_superposition,[],[f2127,f3025])). 14.88/2.57 tff(f3025,plain,( 14.88/2.57 sF57 = $sum(sF61,sF53) | ~spl103_172), 14.88/2.57 inference(avatar_component_clause,[],[f3023])). 14.88/2.57 tff(f2127,plain,( 14.88/2.57 $sum(sF52,sF53) = sF54 | ~spl103_120), 14.88/2.57 inference(avatar_component_clause,[],[f2125])). 14.88/2.57 tff(f2245,plain,( 14.88/2.57 sF52 = sF61 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95)), 14.88/2.57 inference(forward_demodulation,[],[f2244,f1260])). 14.88/2.57 tff(f2244,plain,( 14.88/2.57 tb2t3(sF51) = sF61 | (~spl103_43 | ~spl103_49 | ~spl103_50 | ~spl103_95)), 14.88/2.57 inference(backward_demodulation,[],[f1285,f2242])). 14.88/2.57 tff(f2242,plain,( 14.88/2.57 sF51 = sF60 | (~spl103_43 | ~spl103_49 | ~spl103_95)), 14.88/2.57 inference(forward_demodulation,[],[f2234,f661])). 14.88/2.57 tff(f661,plain,( 14.88/2.57 get(int,vertex,sF49,sF50) = sF51), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f2234,plain,( 14.88/2.57 get(int,vertex,sF49,sF50) = sF60 | (~spl103_43 | ~spl103_49 | ~spl103_95)), 14.88/2.57 inference(backward_demodulation,[],[f695,f2233])). 14.88/2.57 tff(f2233,plain,( 14.88/2.57 sF49 = sF59 | (~spl103_43 | ~spl103_49 | ~spl103_95)), 14.88/2.57 inference(backward_demodulation,[],[f1280,f2232])). 14.88/2.57 tff(f2232,plain,( 14.88/2.57 t2tb1(sK15) = sF49 | (~spl103_43 | ~spl103_95)), 14.88/2.57 inference(backward_demodulation,[],[f1250,f2230])). 14.88/2.57 tff(f2230,plain,( 14.88/2.57 sK15 = sK20 | ~spl103_95), 14.88/2.57 inference(global_subsumption,[],[f1703])). 14.88/2.57 tff(f1703,plain,( 14.88/2.57 sK15 = sK20 | ~spl103_95), 14.88/2.57 inference(avatar_component_clause,[],[f1701])). 14.88/2.57 tff(f695,plain,( 14.88/2.57 get(int,vertex,sF59,sF50) = sF60), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f1270,plain,( 14.88/2.57 tb2t3(sF56) = sF57 | ~spl103_47), 14.88/2.57 inference(avatar_component_clause,[],[f1268])). 14.88/2.57 tff(f6554,plain,( 14.88/2.57 tb2t3(sF56) = sF69 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_54 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_143 | ~spl103_145 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f1305,f6552])). 14.88/2.57 tff(f6552,plain,( 14.88/2.57 sF56 = sF68 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_143 | ~spl103_145 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(forward_demodulation,[],[f6515,f2503])). 14.88/2.57 tff(f2503,plain,( 14.88/2.57 get(int,vertex,sF49,sF55) = sF56 | ~spl103_143), 14.88/2.57 inference(avatar_component_clause,[],[f2501])). 14.88/2.57 tff(f6515,plain,( 14.88/2.57 get(int,vertex,sF49,sF55) = sF68 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_145 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f2513,f6511])). 14.88/2.57 tff(f2513,plain,( 14.88/2.57 get(int,vertex,sF59,sF55) = sF68 | ~spl103_145), 14.88/2.57 inference(avatar_component_clause,[],[f2511])). 14.88/2.57 tff(f1305,plain,( 14.88/2.57 tb2t3(sF68) = sF69 | ~spl103_54), 14.88/2.57 inference(avatar_component_clause,[],[f1303])). 14.88/2.57 tff(f3519,plain,( 14.88/2.57 ~$less(sF69,0) | spl103_181), 14.88/2.57 inference(avatar_component_clause,[],[f3517])). 14.88/2.57 tff(f6839,plain,( 14.88/2.57 ~spl103_375 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175 | spl103_363), 14.88/2.57 inference(avatar_split_clause,[],[f6544,f6098,f3043,f3023,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1248,f6836])). 14.88/2.57 tff(f6836,plain,( 14.88/2.57 spl103_375 <=> sF49 = sF84), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_375])])). 14.88/2.57 tff(f6098,plain,( 14.88/2.57 spl103_363 <=> sF59 = sF84), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_363])])). 14.88/2.57 tff(f6544,plain,( 14.88/2.57 sF49 != sF84 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175 | spl103_363)), 14.88/2.57 inference(backward_demodulation,[],[f6100,f6511])). 14.88/2.57 tff(f6100,plain,( 14.88/2.57 sF59 != sF84 | spl103_363), 14.88/2.57 inference(avatar_component_clause,[],[f6098])). 14.88/2.57 tff(f6831,plain,( 14.88/2.57 ~spl103_374 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_120 | ~spl103_172 | spl103_303), 14.88/2.57 inference(avatar_split_clause,[],[f6502,f4514,f3023,f2125,f1701,f1283,f1278,f1258,f1248,f6828])). 14.88/2.57 tff(f6828,plain,( 14.88/2.57 spl103_374 <=> sF54 = sF86), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_374])])). 14.88/2.57 tff(f4514,plain,( 14.88/2.57 spl103_303 <=> sF57 = sF86), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_303])])). 14.88/2.57 tff(f6502,plain,( 14.88/2.57 sF54 != sF86 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_120 | ~spl103_172 | spl103_303)), 14.88/2.57 inference(backward_demodulation,[],[f4516,f6494])). 14.88/2.57 tff(f4516,plain,( 14.88/2.57 sF57 != sF86 | spl103_303), 14.88/2.57 inference(avatar_component_clause,[],[f4514])). 14.88/2.57 tff(f6826,plain,( 14.88/2.57 ~spl103_111 | ~spl103_38 | ~spl103_48 | ~spl103_102 | spl103_103), 14.88/2.57 inference(avatar_split_clause,[],[f6626,f1828,f1820,f1273,f1223,f2056])). 14.88/2.57 tff(f1828,plain,( 14.88/2.57 spl103_103 <=> mem(vertex,sF55,sF58)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_103])])). 14.88/2.57 tff(f6626,plain,( 14.88/2.57 ~mem(vertex,sF55,sF44) | (~spl103_38 | ~spl103_48 | ~spl103_102 | spl103_103)), 14.88/2.57 inference(backward_demodulation,[],[f1830,f6622])). 14.88/2.57 tff(f1830,plain,( 14.88/2.57 ~mem(vertex,sF55,sF58) | spl103_103), 14.88/2.57 inference(avatar_component_clause,[],[f1828])). 14.88/2.57 tff(f6823,plain,( 14.88/2.57 spl103_92 | ~spl103_18 | ~spl103_38 | ~spl103_48 | ~spl103_102), 14.88/2.57 inference(avatar_split_clause,[],[f6625,f1820,f1273,f1223,f1123,f1627])). 14.88/2.57 tff(f1627,plain,( 14.88/2.57 spl103_92 <=> subset(vertex,sF44,sF77)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_92])])). 14.88/2.57 tff(f1123,plain,( 14.88/2.57 spl103_18 <=> subset(vertex,sF58,sF77)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_18])])). 14.88/2.57 tff(f6625,plain,( 14.88/2.57 subset(vertex,sF44,sF77) | (~spl103_18 | ~spl103_38 | ~spl103_48 | ~spl103_102)), 14.88/2.57 inference(backward_demodulation,[],[f1125,f6622])). 14.88/2.57 tff(f1125,plain,( 14.88/2.57 subset(vertex,sF58,sF77) | ~spl103_18), 14.88/2.57 inference(avatar_component_clause,[],[f1123])). 14.88/2.57 tff(f6815,plain,( 14.88/2.57 spl103_100 | ~spl103_38 | ~spl103_102), 14.88/2.57 inference(avatar_split_clause,[],[f6615,f1820,f1223,f1807])). 14.88/2.57 tff(f1807,plain,( 14.88/2.57 spl103_100 <=> t2tb(sK14) = sF44), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_100])])). 14.88/2.57 tff(f6814,plain,( 14.88/2.57 spl103_373 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_120 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6498,f3043,f3023,f2125,f1701,f1283,f1278,f1258,f1248,f6811])). 14.88/2.57 tff(f6811,plain,( 14.88/2.57 spl103_373 <=> sF54 = sF62), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_373])])). 14.88/2.57 tff(f6498,plain,( 14.88/2.57 sF54 = sF62 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_120 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f3045,f6494])). 14.88/2.57 tff(f3045,plain,( 14.88/2.57 sF57 = sF62 | ~spl103_175), 14.88/2.57 inference(avatar_component_clause,[],[f3043])). 14.88/2.57 tff(f6805,plain,( 14.88/2.57 spl103_85 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_120 | ~spl103_172), 14.88/2.57 inference(avatar_split_clause,[],[f6494,f3023,f2125,f1701,f1283,f1278,f1258,f1248,f1486])). 14.88/2.57 tff(f6804,plain,( 14.88/2.57 spl103_372 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6510,f3043,f3023,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1248,f6801])). 14.88/2.57 tff(f6801,plain,( 14.88/2.57 spl103_372 <=> t2tb1(sK15) = sF49), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_372])])). 14.88/2.57 tff(f6799,plain,( 14.88/2.57 spl103_371 | ~spl103_43 | ~spl103_45 | ~spl103_47 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_120 | ~spl103_172), 14.88/2.57 inference(avatar_split_clause,[],[f6495,f3023,f2125,f1701,f1283,f1278,f1268,f1258,f1248,f6796])). 14.88/2.57 tff(f6796,plain,( 14.88/2.57 spl103_371 <=> sF54 = tb2t3(sF56)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_371])])). 14.88/2.57 tff(f6792,plain,( 14.88/2.57 spl103_266 | ~spl103_21 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123), 14.88/2.57 inference(avatar_split_clause,[],[f6326,f2144,f1253,f1243,f1238,f1233,f1138,f4171])). 14.88/2.57 tff(f4171,plain,( 14.88/2.57 spl103_266 <=> mem(vertex,sF48,sF87)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_266])])). 14.88/2.57 tff(f1138,plain,( 14.88/2.57 spl103_21 <=> mem(vertex,sF50,sF87)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_21])])). 14.88/2.57 tff(f6326,plain,( 14.88/2.57 mem(vertex,sF48,sF87) | (~spl103_21 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123)), 14.88/2.57 inference(backward_demodulation,[],[f1140,f6325])). 14.88/2.57 tff(f1140,plain,( 14.88/2.57 mem(vertex,sF50,sF87) | ~spl103_21), 14.88/2.57 inference(avatar_component_clause,[],[f1138])). 14.88/2.57 tff(f6754,plain,( 14.88/2.57 spl103_318 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_123), 14.88/2.57 inference(avatar_split_clause,[],[f6263,f2144,f1243,f1238,f1233,f4973])). 14.88/2.57 tff(f4973,plain,( 14.88/2.57 spl103_318 <=> t2tb2(sK11) = sF48), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_318])])). 14.88/2.57 tff(f6729,plain,( 14.88/2.57 spl103_317 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_123), 14.88/2.57 inference(avatar_split_clause,[],[f6262,f2144,f1243,f1238,f1233,f4967])). 14.88/2.57 tff(f4967,plain,( 14.88/2.57 spl103_317 <=> g_succ1(sK11) = sF46), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_317])])). 14.88/2.57 tff(f6262,plain,( 14.88/2.57 g_succ1(sK11) = sF46 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_123)), 14.88/2.57 inference(backward_demodulation,[],[f1235,f6261])). 14.88/2.57 tff(f1235,plain,( 14.88/2.57 g_succ1(sK21) = sF46 | ~spl103_40), 14.88/2.57 inference(avatar_component_clause,[],[f1233])). 14.88/2.57 tff(f6727,plain,( 14.88/2.57 spl103_88 | ~spl103_38 | ~spl103_48 | ~spl103_102), 14.88/2.57 inference(avatar_split_clause,[],[f6622,f1820,f1273,f1223,f1522])). 14.88/2.57 tff(f1522,plain,( 14.88/2.57 spl103_88 <=> sF44 = sF58), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_88])])). 14.88/2.57 tff(f6726,plain,( 14.88/2.57 spl103_87 | ~spl103_102), 14.88/2.57 inference(avatar_split_clause,[],[f6614,f1820,f1496])). 14.88/2.57 tff(f1496,plain,( 14.88/2.57 spl103_87 <=> sK14 = sK19), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_87])])). 14.88/2.57 tff(f6725,plain,( 14.88/2.57 spl103_176 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6570,f3043,f3023,f2506,f2496,f2144,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1253,f1248,f1243,f1238,f1233,f3070])). 14.88/2.57 tff(f3070,plain,( 14.88/2.57 spl103_176 <=> sF52 = sF61), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_176])])). 14.88/2.57 tff(f6724,plain,( 14.88/2.57 spl103_135 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_43 | ~spl103_44 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_123 | ~spl103_142 | ~spl103_144 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6566,f3043,f3023,f2506,f2496,f2144,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1253,f1248,f1243,f1238,f1233,f2273])). 14.88/2.57 tff(f2273,plain,( 14.88/2.57 spl103_135 <=> sF51 = sF60), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_135])])). 14.88/2.57 tff(f6723,plain,( 14.88/2.57 spl103_338 | ~spl103_43 | ~spl103_45 | ~spl103_47 | ~spl103_49 | ~spl103_50 | ~spl103_54 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_143 | ~spl103_145 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6555,f3043,f3023,f2511,f2501,f2125,f2056,f1820,f1701,f1303,f1283,f1278,f1268,f1258,f1248,f5473])). 14.88/2.57 tff(f6722,plain,( 14.88/2.57 spl103_370 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_143 | ~spl103_145 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6552,f3043,f3023,f2511,f2501,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1248,f6719])). 14.88/2.57 tff(f6719,plain,( 14.88/2.57 spl103_370 <=> sF56 = sF68), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_370])])). 14.88/2.57 tff(f6717,plain,( 14.88/2.57 spl103_110 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6511,f3043,f3023,f2125,f2056,f1820,f1701,f1283,f1278,f1258,f1248,f2014])). 14.88/2.57 tff(f2014,plain,( 14.88/2.57 spl103_110 <=> sF49 = sF59), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_110])])). 14.88/2.57 tff(f6716,plain,( 14.88/2.57 spl103_99 | ~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_89 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175), 14.88/2.57 inference(avatar_split_clause,[],[f6509,f3043,f3023,f2125,f2056,f1820,f1701,f1540,f1283,f1278,f1258,f1248,f1790])). 14.88/2.57 tff(f1790,plain,( 14.88/2.57 spl103_99 <=> sK15 = sF65), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_99])])). 14.88/2.57 tff(f1540,plain,( 14.88/2.57 spl103_89 <=> sK20 = sF65), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_89])])). 14.88/2.57 tff(f6509,plain,( 14.88/2.57 sK15 = sF65 | (~spl103_43 | ~spl103_45 | ~spl103_49 | ~spl103_50 | ~spl103_89 | ~spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_172 | ~spl103_175)), 14.88/2.57 inference(backward_demodulation,[],[f1542,f6507])). 14.88/2.57 tff(f1542,plain,( 14.88/2.57 sK20 = sF65 | ~spl103_89), 14.88/2.57 inference(avatar_component_clause,[],[f1540])). 14.88/2.57 tff(f6715,plain,( 14.88/2.57 spl103_316 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_123), 14.88/2.57 inference(avatar_split_clause,[],[f6325,f2144,f1253,f1243,f1238,f1233,f4962])). 14.88/2.57 tff(f4962,plain,( 14.88/2.57 spl103_316 <=> sF48 = sF50), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_316])])). 14.88/2.57 tff(f6714,plain,( 14.88/2.57 spl103_315 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123), 14.88/2.57 inference(avatar_split_clause,[],[f6290,f2144,f1328,f1323,f1243,f1238,f1233,f4957])). 14.88/2.57 tff(f4957,plain,( 14.88/2.57 spl103_315 <=> sF47 = sF76), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_315])])). 14.88/2.57 tff(f1323,plain,( 14.88/2.57 spl103_58 <=> g_succ1(sK11) = sF75), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_58])])). 14.88/2.57 tff(f1328,plain,( 14.88/2.57 spl103_59 <=> t2tb(sF75) = sF76), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_59])])). 14.88/2.57 tff(f6290,plain,( 14.88/2.57 sF47 = sF76 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123)), 14.88/2.57 inference(forward_demodulation,[],[f6283,f1240])). 14.88/2.57 tff(f1240,plain,( 14.88/2.57 t2tb(sF46) = sF47 | ~spl103_41), 14.88/2.57 inference(avatar_component_clause,[],[f1238])). 14.88/2.57 tff(f6283,plain,( 14.88/2.57 t2tb(sF46) = sF76 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123)), 14.88/2.57 inference(backward_demodulation,[],[f1330,f6282])). 14.88/2.57 tff(f6282,plain,( 14.88/2.57 sF46 = sF75 | (~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_123)), 14.88/2.57 inference(backward_demodulation,[],[f1325,f6262])). 14.88/2.57 tff(f1325,plain,( 14.88/2.57 g_succ1(sK11) = sF75 | ~spl103_58), 14.88/2.57 inference(avatar_component_clause,[],[f1323])). 14.88/2.57 tff(f1330,plain,( 14.88/2.57 t2tb(sF75) = sF76 | ~spl103_59), 14.88/2.57 inference(avatar_component_clause,[],[f1328])). 14.88/2.57 tff(f6713,plain,( 14.88/2.57 spl103_314 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_123), 14.88/2.57 inference(avatar_split_clause,[],[f6282,f2144,f1323,f1243,f1238,f1233,f4952])). 14.88/2.57 tff(f4952,plain,( 14.88/2.57 spl103_314 <=> sF46 = sF75), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_314])])). 14.88/2.57 tff(f6493,plain,( 14.88/2.57 ~spl103_77 | spl103_111 | ~spl103_154 | spl103_169 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6492])). 14.88/2.57 tff(f6492,plain,( 14.88/2.57 $false | (~spl103_77 | spl103_111 | ~spl103_154 | spl103_169 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f1428,f5682,f6486])). 14.88/2.57 tff(f6486,plain,( 14.88/2.57 ~mem(vertex,sF55,sF44) | (~spl103_154 | spl103_169)), 14.88/2.57 inference(forward_demodulation,[],[f2980,f2644])). 14.88/2.57 tff(f2644,plain,( 14.88/2.57 sF44 = sF66 | ~spl103_154), 14.88/2.57 inference(avatar_component_clause,[],[f2642])). 14.88/2.57 tff(f2642,plain,( 14.88/2.57 spl103_154 <=> sF44 = sF66), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_154])])). 14.88/2.57 tff(f2980,plain,( 14.88/2.57 ~mem(vertex,sF55,sF66) | spl103_169), 14.88/2.57 inference(avatar_component_clause,[],[f2979])). 14.88/2.57 tff(f2979,plain,( 14.88/2.57 spl103_169 <=> mem(vertex,sF55,sF66)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_169])])). 14.88/2.57 tff(f5682,plain,( 14.88/2.57 mem(vertex,sF55,sF44) | ~sort1(vertex,sF55) | ~spl103_340), 14.88/2.57 inference(superposition,[],[f947,f5669])). 14.88/2.57 tff(f5669,plain,( 14.88/2.57 sF44 = add(vertex,sF55,sF58) | ~spl103_340), 14.88/2.57 inference(avatar_component_clause,[],[f5667])). 14.88/2.57 tff(f5667,plain,( 14.88/2.57 spl103_340 <=> sF44 = add(vertex,sF55,sF58)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_340])])). 14.88/2.57 tff(f947,plain,( 14.88/2.57 ( ! [X2 : uni,X3 : uni,X0 : ty] : (mem(X0,X2,add(X0,X2,X3)) | ~sort1(X0,X2)) )), 14.88/2.57 inference(duplicate_literal_removal,[],[f644])). 14.88/2.57 tff(f644,plain,( 14.88/2.57 ( ! [X2 : uni,X3 : uni,X0 : ty] : (mem(X0,X2,add(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 14.88/2.57 inference(equality_resolution,[],[f577])). 14.88/2.57 tff(f577,plain,( 14.88/2.57 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,add(X0,X2,X3)) | X1 != X2 | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 14.88/2.57 inference(cnf_transformation,[],[f254])). 14.88/2.57 tff(f254,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni] : (! [X3 : uni] : ((mem(X0,X1,add(X0,X2,X3)) | (X1 != X2 & ~mem(X0,X1,X3))) & (X1 = X2 | mem(X0,X1,X3) | ~mem(X0,X1,add(X0,X2,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 14.88/2.57 inference(flattening,[],[f253])). 14.88/2.57 tff(f253,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni] : (! [X3 : uni] : ((mem(X0,X1,add(X0,X2,X3)) | (X1 != X2 & ~mem(X0,X1,X3))) & ((X1 = X2 | mem(X0,X1,X3)) | ~mem(X0,X1,add(X0,X2,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 14.88/2.57 inference(nnf_transformation,[],[f189])). 14.88/2.57 tff(f189,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni] : (! [X3 : uni] : (mem(X0,X1,add(X0,X2,X3)) <=> (X1 = X2 | mem(X0,X1,X3))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 14.88/2.57 inference(flattening,[],[f188])). 14.88/2.57 tff(f188,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (mem(X0,X1,add(X0,X2,X3)) <=> (X1 = X2 | mem(X0,X1,X3))) | ~sort1(X0,X2)) | ~sort1(X0,X1))), 14.88/2.57 inference(ennf_transformation,[],[f137])). 14.88/2.57 tff(f137,plain,( 14.88/2.57 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(X0,X1) => (sort1(X0,X2) => ! [X3 : uni] : (mem(X0,X1,add(X0,X2,X3)) <=> (X1 = X2 | mem(X0,X1,X3)))))), 14.88/2.57 inference(rectify,[],[f9])). 14.88/2.57 tff(f9,axiom,( 14.88/2.57 ! [X0 : ty,X7 : uni,X14 : uni] : (sort1(X0,X7) => (sort1(X0,X14) => ! [X1 : uni] : (mem(X0,X7,add(X0,X14,X1)) <=> (X7 = X14 | mem(X0,X7,X1)))))), 14.88/2.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_def1)). 14.88/2.57 tff(f6491,plain,( 14.88/2.57 ~spl103_77 | spl103_114 | ~spl103_154 | spl103_169 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6490])). 14.88/2.57 tff(f6490,plain,( 14.88/2.57 $false | (~spl103_77 | spl103_114 | ~spl103_154 | spl103_169 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f1428,f5682,f6486])). 14.88/2.57 tff(f6488,plain,( 14.88/2.57 ~spl103_77 | ~spl103_154 | spl103_169 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6487])). 14.88/2.57 tff(f6487,plain,( 14.88/2.57 $false | (~spl103_77 | ~spl103_154 | spl103_169 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f1428,f5682,f6486])). 14.88/2.57 tff(f6485,plain,( 14.88/2.57 ~spl103_77 | spl103_111 | ~spl103_254 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6484])). 14.88/2.57 tff(f6484,plain,( 14.88/2.57 $false | (~spl103_77 | spl103_111 | ~spl103_254 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6483,plain,( 14.88/2.57 ~spl103_77 | spl103_111 | ~spl103_340 | spl103_341), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6482])). 14.88/2.57 tff(f6482,plain,( 14.88/2.57 $false | (~spl103_77 | spl103_111 | ~spl103_340 | spl103_341)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6480,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_77 | spl103_111 | ~spl103_123 | ~spl103_159 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6479])). 14.88/2.57 tff(f6479,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_77 | spl103_111 | ~spl103_123 | ~spl103_159 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6478,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_77 | spl103_111 | ~spl103_123 | ~spl103_170 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6477])). 14.88/2.57 tff(f6477,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_77 | spl103_111 | ~spl103_123 | ~spl103_170 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6476,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_77 | spl103_111 | ~spl103_123 | ~spl103_159 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6475])). 14.88/2.57 tff(f6475,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_77 | spl103_111 | ~spl103_123 | ~spl103_159 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6473,plain,( 14.88/2.57 ~spl103_76 | ~spl103_77 | spl103_111 | ~spl103_159 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6472])). 14.88/2.57 tff(f6472,plain,( 14.88/2.57 $false | (~spl103_76 | ~spl103_77 | spl103_111 | ~spl103_159 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6471,plain,( 14.88/2.57 ~spl103_76 | ~spl103_77 | spl103_111 | ~spl103_159 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6470])). 14.88/2.57 tff(f6470,plain,( 14.88/2.57 $false | (~spl103_76 | ~spl103_77 | spl103_111 | ~spl103_159 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6469,plain,( 14.88/2.57 ~spl103_23 | ~spl103_77 | spl103_111 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6468])). 14.88/2.57 tff(f6468,plain,( 14.88/2.57 $false | (~spl103_23 | ~spl103_77 | spl103_111 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6467,plain,( 14.88/2.57 ~spl103_23 | ~spl103_77 | spl103_111 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6466])). 14.88/2.57 tff(f6466,plain,( 14.88/2.57 $false | (~spl103_23 | ~spl103_77 | spl103_111 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6465,plain,( 14.88/2.57 ~spl103_36 | ~spl103_77 | spl103_111 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6464])). 14.88/2.57 tff(f6464,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_77 | spl103_111 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6463,plain,( 14.88/2.57 ~spl103_36 | ~spl103_77 | spl103_111 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6462])). 14.88/2.57 tff(f6462,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_77 | spl103_111 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6461,plain,( 14.88/2.57 ~spl103_77 | spl103_111 | ~spl103_340 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6460])). 14.88/2.57 tff(f6460,plain,( 14.88/2.57 $false | (~spl103_77 | spl103_111 | ~spl103_340 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6454,plain,( 14.88/2.57 ~spl103_77 | spl103_111 | ~spl103_340), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6453])). 14.88/2.57 tff(f6453,plain,( 14.88/2.57 $false | (~spl103_77 | spl103_111 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f2058,f1428,f5682])). 14.88/2.57 tff(f6451,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6450])). 14.88/2.57 tff(f6450,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f649,f656,f4107,f6397,f6021])). 14.88/2.57 tff(f6021,plain,( 14.88/2.57 ~mem(vertex,sF42,sF58) | spl103_353), 14.88/2.57 inference(avatar_component_clause,[],[f6019])). 14.88/2.57 tff(f6019,plain,( 14.88/2.57 spl103_353 <=> mem(vertex,sF42,sF58)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_353])])). 14.88/2.57 tff(f6397,plain,( 14.88/2.57 ~mem(vertex,sF42,sF47) | mem(vertex,sF42,sF43) | mem(vertex,sF42,sF70) | mem(vertex,sF42,sF58) | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170)), 14.88/2.57 inference(forward_demodulation,[],[f5776,f6290])). 14.88/2.57 tff(f5776,plain,( 14.88/2.57 ~mem(vertex,sF42,sF76) | mem(vertex,sF42,sF43) | mem(vertex,sF42,sF70) | mem(vertex,sF42,sF58) | (~spl103_36 | ~spl103_170)), 14.88/2.57 inference(superposition,[],[f5404,f1215])). 14.88/2.57 tff(f1215,plain,( 14.88/2.57 t2tb2(sK22) = sF42 | ~spl103_36), 14.88/2.57 inference(avatar_component_clause,[],[f1213])). 14.88/2.57 tff(f1213,plain,( 14.88/2.57 spl103_36 <=> t2tb2(sK22) = sF42), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_36])])). 14.88/2.57 tff(f5404,plain,( 14.88/2.57 ( ! [X28 : vertex1] : (~mem(vertex,t2tb2(X28),sF76) | mem(vertex,t2tb2(X28),sF43) | mem(vertex,t2tb2(X28),sF70) | mem(vertex,t2tb2(X28),sF58)) ) | ~spl103_170), 14.88/2.57 inference(global_subsumption,[],[f2995,f888])). 14.88/2.57 tff(f888,plain,( 14.88/2.57 ( ! [X28 : vertex1] : (mem(vertex,t2tb2(X28),sF58) | mem(vertex,t2tb2(X28),sF43) | mem(vertex,t2tb2(X28),sF70) | ~mem(vertex,t2tb2(X28),sF76) | ~mem(vertex,sF50,sF43)) )), 14.88/2.57 inference(definition_folding,[],[f643,f648,f660,f885,f884,f873,f648,f681])). 14.88/2.57 tff(f681,plain,( 14.88/2.57 t2tb(sK14) = sF58), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f873,plain,( 14.88/2.57 t2tb(sK13) = sF70), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f884,plain,( 14.88/2.57 g_succ1(sK11) = sF75), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f885,plain,( 14.88/2.57 t2tb(sF75) = sF76), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f660,plain,( 14.88/2.57 t2tb2(sK11) = sF50), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f643,plain,( 14.88/2.57 ( ! [X28 : vertex1] : (mem(vertex,t2tb2(X28),t2tb(sK14)) | mem(vertex,t2tb2(X28),t2tb(sK12)) | mem(vertex,t2tb2(X28),t2tb(sK13)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(sK11))) | ~mem(vertex,t2tb2(sK11),t2tb(sK12))) )), 14.88/2.57 inference(equality_resolution,[],[f305])). 14.88/2.57 tff(f305,plain,( 14.88/2.57 ( ! [X28 : vertex1,X27 : vertex1] : (mem(vertex,t2tb2(X28),t2tb(sK14)) | mem(vertex,t2tb2(X28),t2tb(sK12)) | sK11 != X27 | mem(vertex,t2tb2(X28),t2tb(sK13)) | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27))) | ~mem(vertex,t2tb2(X27),t2tb(sK12))) )), 14.88/2.57 inference(cnf_transformation,[],[f239])). 14.88/2.57 tff(f2995,plain,( 14.88/2.57 mem(vertex,sF50,sF43) | ~spl103_170), 14.88/2.57 inference(avatar_component_clause,[],[f2993])). 14.88/2.57 tff(f2993,plain,( 14.88/2.57 spl103_170 <=> mem(vertex,sF50,sF43)), 14.88/2.57 introduced(avatar_definition,[new_symbols(naming,[spl103_170])])). 14.88/2.57 tff(f4107,plain,( 14.88/2.57 ~mem(vertex,sF42,sF70) | spl103_254), 14.88/2.57 inference(avatar_component_clause,[],[f4105])). 14.88/2.57 tff(f656,plain,( 14.88/2.57 mem(vertex,sF42,sF47)), 14.88/2.57 inference(definition_folding,[],[f510,f655,f654,f647])). 14.88/2.57 tff(f654,plain,( 14.88/2.57 g_succ1(sK21) = sF46), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f655,plain,( 14.88/2.57 t2tb(sF46) = sF47), 14.88/2.57 introduced(function_definition,[])). 14.88/2.57 tff(f510,plain,( 14.88/2.57 mem(vertex,t2tb2(sK22),t2tb(g_succ1(sK21)))), 14.88/2.57 inference(cnf_transformation,[],[f239])). 14.88/2.57 tff(f6449,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6448])). 14.88/2.57 tff(f6448,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f649,f656,f4107,f6021,f6397])). 14.88/2.57 tff(f6447,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6446])). 14.88/2.57 tff(f6446,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f649,f656,f4107,f6021,f6397])). 14.88/2.57 tff(f6407,plain,( 14.88/2.57 ~spl103_23 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6406])). 14.88/2.57 tff(f6406,plain,( 14.88/2.57 $false | (~spl103_23 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f649,f656,f4107,f6021,f6397])). 14.88/2.57 tff(f6405,plain,( 14.88/2.57 ~spl103_23 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6404])). 14.88/2.57 tff(f6404,plain,( 14.88/2.57 $false | (~spl103_23 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f649,f656,f4107,f6021,f6397])). 14.88/2.57 tff(f6403,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_123 | ~spl103_159 | ~spl103_170 | spl103_254 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6402])). 14.88/2.57 tff(f6402,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_123 | ~spl103_159 | ~spl103_170 | spl103_254 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f649,f656,f4107,f6021,f6397])). 14.88/2.57 tff(f6401,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_123 | ~spl103_159 | ~spl103_170 | spl103_254 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6400])). 14.88/2.57 tff(f6400,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_123 | ~spl103_159 | ~spl103_170 | spl103_254 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f649,f656,f4107,f6021,f6397])). 14.88/2.57 tff(f6399,plain,( 14.88/2.57 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6398])). 14.88/2.57 tff(f6398,plain,( 14.88/2.57 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_58 | ~spl103_59 | ~spl103_123 | ~spl103_170 | spl103_254 | spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f649,f656,f4107,f6021,f6397])). 14.88/2.57 tff(f6260,plain,( 14.88/2.57 ~spl103_73 | ~spl103_77 | ~spl103_340 | ~spl103_353), 14.88/2.57 inference(avatar_contradiction_clause,[],[f6259])). 14.88/2.57 tff(f6259,plain,( 14.88/2.57 $false | (~spl103_73 | ~spl103_77 | ~spl103_340 | ~spl103_353)), 14.88/2.57 inference(global_subsumption,[],[f651,f1402,f6253])). 14.88/2.57 tff(f6253,plain,( 14.88/2.57 mem(vertex,sF42,sF44) | ~sort1(vertex,sF42) | (~spl103_77 | ~spl103_340 | ~spl103_353)), 14.88/2.57 inference(resolution,[],[f6020,f5686])). 14.88/2.57 tff(f5686,plain,( 14.88/2.57 ( ! [X1 : uni] : (~mem(vertex,X1,sF58) | mem(vertex,X1,sF44) | ~sort1(vertex,X1)) ) | (~spl103_77 | ~spl103_340)), 14.88/2.57 inference(global_subsumption,[],[f1428,f5680])). 14.88/2.57 tff(f5680,plain,( 14.88/2.57 ( ! [X1 : uni] : (mem(vertex,X1,sF44) | ~mem(vertex,X1,sF58) | ~sort1(vertex,sF55) | ~sort1(vertex,X1)) ) | ~spl103_340), 14.88/2.57 inference(superposition,[],[f576,f5669])). 14.88/2.57 tff(f576,plain,( 14.88/2.57 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,add(X0,X2,X3)) | ~mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 14.88/2.58 inference(cnf_transformation,[],[f254])). 14.88/2.58 tff(f6020,plain,( 14.88/2.58 mem(vertex,sF42,sF58) | ~spl103_353), 14.88/2.58 inference(avatar_component_clause,[],[f6019])). 14.88/2.58 tff(f651,plain,( 14.88/2.58 ~mem(vertex,sF42,sF44)), 14.88/2.58 inference(definition_folding,[],[f513,f650,f647])). 14.88/2.58 tff(f513,plain,( 14.88/2.58 ~mem(vertex,t2tb2(sK22),t2tb(sK19))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f6258,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_340 | ~spl103_353), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6257])). 14.88/2.58 tff(f6257,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_340 | ~spl103_353)), 14.88/2.58 inference(global_subsumption,[],[f651,f1402,f6253])). 14.88/2.58 tff(f6251,plain,( 14.88/2.58 ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | spl103_123 | spl103_353), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6250])). 14.88/2.58 tff(f6250,plain,( 14.88/2.58 $false | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | spl103_123 | spl103_353)), 14.88/2.58 inference(global_subsumption,[],[f656,f658,f2146,f6249])). 14.88/2.58 tff(f6249,plain,( 14.88/2.58 ~mem(vertex,sF48,sF43) | ~mem(vertex,sF42,sF47) | sK11 = sK21 | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | spl103_353)), 14.88/2.58 inference(forward_demodulation,[],[f6248,f1245])). 14.88/2.58 tff(f6248,plain,( 14.88/2.58 ~mem(vertex,sF42,sF47) | sK11 = sK21 | ~mem(vertex,t2tb2(sK21),sF43) | (~spl103_36 | ~spl103_40 | ~spl103_41 | spl103_353)), 14.88/2.58 inference(forward_demodulation,[],[f6246,f1240])). 14.88/2.58 tff(f6246,plain,( 14.88/2.58 ~mem(vertex,sF42,t2tb(sF46)) | sK11 = sK21 | ~mem(vertex,t2tb2(sK21),sF43) | (~spl103_36 | ~spl103_40 | spl103_353)), 14.88/2.58 inference(superposition,[],[f6027,f1235])). 14.88/2.58 tff(f6027,plain,( 14.88/2.58 ( ! [X7 : vertex1] : (~mem(vertex,sF42,t2tb(g_succ1(X7))) | sK11 = X7 | ~mem(vertex,t2tb2(X7),sF43)) ) | (~spl103_36 | spl103_353)), 14.88/2.58 inference(subsumption_resolution,[],[f5836,f6021])). 14.88/2.58 tff(f5836,plain,( 14.88/2.58 ( ! [X7 : vertex1] : (~mem(vertex,sF42,t2tb(g_succ1(X7))) | sK11 = X7 | mem(vertex,sF42,sF58) | ~mem(vertex,t2tb2(X7),sF43)) ) | ~spl103_36), 14.88/2.58 inference(global_subsumption,[],[f649,f5826])). 14.88/2.58 tff(f5826,plain,( 14.88/2.58 ( ! [X7 : vertex1] : (~mem(vertex,sF42,t2tb(g_succ1(X7))) | mem(vertex,sF42,sF43) | sK11 = X7 | mem(vertex,sF42,sF58) | ~mem(vertex,t2tb2(X7),sF43)) ) | ~spl103_36), 14.88/2.58 inference(superposition,[],[f889,f1215])). 14.88/2.58 tff(f889,plain,( 14.88/2.58 ( ! [X28 : vertex1,X27 : vertex1] : (~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27))) | mem(vertex,t2tb2(X28),sF43) | sK11 = X27 | mem(vertex,t2tb2(X28),sF58) | ~mem(vertex,t2tb2(X27),sF43)) )), 14.88/2.58 inference(definition_folding,[],[f304,f648,f648,f681])). 14.88/2.58 tff(f304,plain,( 14.88/2.58 ( ! [X28 : vertex1,X27 : vertex1] : (mem(vertex,t2tb2(X28),t2tb(sK14)) | mem(vertex,t2tb2(X28),t2tb(sK12)) | sK11 = X27 | ~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27))) | ~mem(vertex,t2tb2(X27),t2tb(sK12))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f2146,plain,( 14.88/2.58 sK11 != sK21 | spl103_123), 14.88/2.58 inference(avatar_component_clause,[],[f2144])). 14.88/2.58 tff(f658,plain,( 14.88/2.58 mem(vertex,sF48,sF43)), 14.88/2.58 inference(definition_folding,[],[f509,f648,f657])). 14.88/2.58 tff(f657,plain,( 14.88/2.58 t2tb2(sK21) = sF48), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f509,plain,( 14.88/2.58 mem(vertex,t2tb2(sK21),t2tb(sK12))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f6245,plain,( 14.88/2.58 ~spl103_369 | ~spl103_336 | spl103_345), 14.88/2.58 inference(avatar_split_clause,[],[f6233,f5901,f5223,f6242])). 14.88/2.58 tff(f6242,plain,( 14.88/2.58 spl103_369 <=> sF43 = sF44), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_369])])). 14.88/2.58 tff(f5223,plain,( 14.88/2.58 spl103_336 <=> mem(vertex,choose(vertex,sF43),sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_336])])). 14.88/2.58 tff(f5901,plain,( 14.88/2.58 spl103_345 <=> mem(vertex,choose(vertex,sF44),sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_345])])). 14.88/2.58 tff(f6233,plain,( 14.88/2.58 sF43 != sF44 | (~spl103_336 | spl103_345)), 14.88/2.58 inference(constrained_resolution,[],[f5902,f5225])). 14.88/2.58 tff(f5225,plain,( 14.88/2.58 mem(vertex,choose(vertex,sF43),sF77) | ~spl103_336), 14.88/2.58 inference(avatar_component_clause,[],[f5223])). 14.88/2.58 tff(f5902,plain,( 14.88/2.58 ~mem(vertex,choose(vertex,sF44),sF77) | spl103_345), 14.88/2.58 inference(avatar_component_clause,[],[f5901])). 14.88/2.58 tff(f6200,plain,( 14.88/2.58 spl103_368 | ~spl103_24 | ~spl103_268), 14.88/2.58 inference(avatar_split_clause,[],[f6162,f4182,f1153,f6197])). 14.88/2.58 tff(f6197,plain,( 14.88/2.58 spl103_368 <=> mem(vertex,sF42,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_368])])). 14.88/2.58 tff(f1153,plain,( 14.88/2.58 spl103_24 <=> subset(vertex,sF87,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_24])])). 14.88/2.58 tff(f6162,plain,( 14.88/2.58 mem(vertex,sF42,sF77) | (~spl103_24 | ~spl103_268)), 14.88/2.58 inference(resolution,[],[f4183,f2954])). 14.88/2.58 tff(f2954,plain,( 14.88/2.58 ( ! [X5 : uni] : (~mem(vertex,X5,sF87) | mem(vertex,X5,sF77)) ) | ~spl103_24), 14.88/2.58 inference(resolution,[],[f563,f1155])). 14.88/2.58 tff(f1155,plain,( 14.88/2.58 subset(vertex,sF87,sF77) | ~spl103_24), 14.88/2.58 inference(avatar_component_clause,[],[f1153])). 14.88/2.58 tff(f563,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : uni,X4 : uni] : (~subset(X0,X1,X2) | ~mem(X0,X4,X1) | mem(X0,X4,X2)) )), 14.88/2.58 inference(cnf_transformation,[],[f248])). 14.88/2.58 tff(f248,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | (~mem(X0,sK31(X0,X1,X2),X2) & mem(X0,sK31(X0,X1,X2),X1) & sort1(X0,sK31(X0,X1,X2)))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 14.88/2.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f182,f247])). 14.88/2.58 tff(f247,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3)) => (~mem(X0,sK31(X0,X1,X2),X2) & mem(X0,sK31(X0,X1,X2),X1) & sort1(X0,sK31(X0,X1,X2))))), 14.88/2.58 introduced(choice_axiom,[])). 14.88/2.58 tff(f182,plain,( 14.88/2.58 ! [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)))), 14.88/2.58 inference(flattening,[],[f181])). 14.88/2.58 tff(f181,plain,( 14.88/2.58 ! [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)))), 14.88/2.58 inference(ennf_transformation,[],[f132])). 14.88/2.58 tff(f132,plain,( 14.88/2.58 ! [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))))), 14.88/2.58 inference(rectify,[],[f74])). 14.88/2.58 tff(f74,axiom,( 14.88/2.58 ! [X0 : ty,X4 : uni,X5 : uni] : ((! [X7 : uni] : (sort1(X0,X7) => (mem(X0,X7,X4) => mem(X0,X7,X5))) => subset(X0,X4,X5)) & (subset(X0,X4,X5) => ! [X7 : uni] : (mem(X0,X7,X4) => mem(X0,X7,X5))))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_def)). 14.88/2.58 tff(f6192,plain,( 14.88/2.58 spl103_367 | ~spl103_36 | ~spl103_268), 14.88/2.58 inference(avatar_split_clause,[],[f6157,f4182,f1213,f6189])). 14.88/2.58 tff(f6189,plain,( 14.88/2.58 spl103_367 <=> path1(sK0,sK22,tb2t3(get(int,vertex,sF84,sF42)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_367])])). 14.88/2.58 tff(f6157,plain,( 14.88/2.58 path1(sK0,sK22,tb2t3(get(int,vertex,sF84,sF42))) | (~spl103_36 | ~spl103_268)), 14.88/2.58 inference(subsumption_resolution,[],[f2893,f4183])). 14.88/2.58 tff(f2893,plain,( 14.88/2.58 path1(sK0,sK22,tb2t3(get(int,vertex,sF84,sF42))) | ~mem(vertex,sF42,sF87) | ~spl103_36), 14.88/2.58 inference(superposition,[],[f922,f1215])). 14.88/2.58 tff(f922,plain,( 14.88/2.58 ( ! [X38 : vertex1] : (path1(sK0,X38,tb2t3(get(int,vertex,sF84,t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),sF87)) )), 14.88/2.58 inference(definition_folding,[],[f285,f909,f904])). 14.88/2.58 tff(f904,plain,( 14.88/2.58 t2tb1(sK7) = sF84), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f909,plain,( 14.88/2.58 t2tb(sK6) = sF87), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f285,plain,( 14.88/2.58 ( ! [X38 : vertex1] : (path1(sK0,X38,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X38)))) | ~mem(vertex,t2tb2(X38),t2tb(sK6))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f6187,plain,( 14.88/2.58 spl103_366 | ~spl103_15 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_316), 14.88/2.58 inference(avatar_split_clause,[],[f6130,f4962,f2736,f1421,f1243,f1108,f6184])). 14.88/2.58 tff(f6184,plain,( 14.88/2.58 spl103_366 <=> shortest_path1(sK0,sK21,tb2t3(get(int,vertex,sF84,sF48)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_366])])). 14.88/2.58 tff(f1108,plain,( 14.88/2.58 spl103_15 <=> mem(vertex,sF48,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_15])])). 14.88/2.58 tff(f1421,plain,( 14.88/2.58 spl103_76 <=> sort1(vertex,sF50)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_76])])). 14.88/2.58 tff(f6130,plain,( 14.88/2.58 shortest_path1(sK0,sK21,tb2t3(get(int,vertex,sF84,sF48))) | (~spl103_15 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f1409,f4963,f6111,f5532])). 14.88/2.58 tff(f5532,plain,( 14.88/2.58 shortest_path1(sK0,sK21,tb2t3(get(int,vertex,sF84,sF48))) | ~mem(vertex,sF48,sF81) | ~spl103_42), 14.88/2.58 inference(superposition,[],[f927,f1245])). 14.88/2.58 tff(f927,plain,( 14.88/2.58 ( ! [X45 : vertex1] : (shortest_path1(sK0,X45,tb2t3(get(int,vertex,sF84,t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),sF81)) )), 14.88/2.58 inference(definition_folding,[],[f280,f900,f904])). 14.88/2.58 tff(f900,plain,( 14.88/2.58 t2tb(sK8) = sF81), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f280,plain,( 14.88/2.58 ( ! [X45 : vertex1] : (shortest_path1(sK0,X45,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X45)))) | ~mem(vertex,t2tb2(X45),t2tb(sK8))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f6111,plain,( 14.88/2.58 mem(vertex,sF48,sF81) | sF48 = sF50 | ~sort1(vertex,sF48) | (~spl103_15 | ~spl103_76 | ~spl103_159)), 14.88/2.58 inference(resolution,[],[f3298,f1110])). 14.88/2.58 tff(f1110,plain,( 14.88/2.58 mem(vertex,sF48,sF43) | ~spl103_15), 14.88/2.58 inference(avatar_component_clause,[],[f1108])). 14.88/2.58 tff(f3298,plain,( 14.88/2.58 ( ! [X2 : uni] : (~mem(vertex,X2,sF43) | mem(vertex,X2,sF81) | sF50 = X2 | ~sort1(vertex,X2)) ) | (~spl103_76 | ~spl103_159)), 14.88/2.58 inference(global_subsumption,[],[f1423,f3290])). 14.88/2.58 tff(f3290,plain,( 14.88/2.58 ( ! [X2 : uni] : (~mem(vertex,X2,sF43) | mem(vertex,X2,sF81) | sF50 = X2 | ~sort1(vertex,sF50) | ~sort1(vertex,X2)) ) | ~spl103_159), 14.88/2.58 inference(superposition,[],[f575,f2738])). 14.88/2.58 tff(f575,plain,( 14.88/2.58 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X1,add(X0,X2,X3)) | mem(X0,X1,X3) | X1 = X2 | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 14.88/2.58 inference(cnf_transformation,[],[f254])). 14.88/2.58 tff(f1423,plain,( 14.88/2.58 sort1(vertex,sF50) | ~spl103_76), 14.88/2.58 inference(avatar_component_clause,[],[f1421])). 14.88/2.58 tff(f4963,plain,( 14.88/2.58 sF48 != sF50 | spl103_316), 14.88/2.58 inference(avatar_component_clause,[],[f4962])). 14.88/2.58 tff(f1409,plain,( 14.88/2.58 sort1(vertex,sF48) | ~spl103_42), 14.88/2.58 inference(superposition,[],[f519,f1245])). 14.88/2.58 tff(f519,plain,( 14.88/2.58 ( ! [X0 : vertex1] : (sort1(vertex,t2tb2(X0))) )), 14.88/2.58 inference(cnf_transformation,[],[f97])). 14.88/2.58 tff(f97,plain,( 14.88/2.58 ! [X0 : vertex1] : sort1(vertex,t2tb2(X0))), 14.88/2.58 inference(rectify,[],[f11])). 14.88/2.58 tff(f11,axiom,( 14.88/2.58 ! [X7 : vertex1] : sort1(vertex,t2tb2(X7))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2)). 14.88/2.58 tff(f6181,plain,( 14.88/2.58 ~spl103_365 | ~spl103_265), 14.88/2.58 inference(avatar_split_clause,[],[f6167,f4167,f6178])). 14.88/2.58 tff(f6178,plain,( 14.88/2.58 spl103_365 <=> is_empty(vertex,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_365])])). 14.88/2.58 tff(f4167,plain,( 14.88/2.58 spl103_265 <=> mem(vertex,sF48,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_265])])). 14.88/2.58 tff(f6167,plain,( 14.88/2.58 ~is_empty(vertex,sF81) | ~spl103_265), 14.88/2.58 inference(resolution,[],[f4168,f544])). 14.88/2.58 tff(f544,plain,( 14.88/2.58 ( ! [X3 : uni,X0 : ty,X1 : uni] : (~mem(X0,X3,X1) | ~is_empty(X0,X1)) )), 14.88/2.58 inference(cnf_transformation,[],[f245])). 14.88/2.58 tff(f245,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | (mem(X0,sK30(X0,X1),X1) & sort1(X0,sK30(X0,X1)))) & (! [X3 : uni] : ~mem(X0,X3,X1) | ~is_empty(X0,X1)))), 14.88/2.58 inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f175,f244])). 14.88/2.58 tff(f244,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni] : (? [X2 : uni] : (mem(X0,X2,X1) & sort1(X0,X2)) => (mem(X0,sK30(X0,X1),X1) & sort1(X0,sK30(X0,X1))))), 14.88/2.58 introduced(choice_axiom,[])). 14.88/2.58 tff(f175,plain,( 14.88/2.58 ! [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)))), 14.88/2.58 inference(ennf_transformation,[],[f116])). 14.88/2.58 tff(f116,plain,( 14.88/2.58 ! [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)))), 14.88/2.58 inference(rectify,[],[f37])). 14.88/2.58 tff(f37,axiom,( 14.88/2.58 ! [X0 : ty,X1 : uni] : ((! [X7 : uni] : (sort1(X0,X7) => ~mem(X0,X7,X1)) => is_empty(X0,X1)) & (is_empty(X0,X1) => ! [X7 : uni] : ~mem(X0,X7,X1)))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_empty_def)). 14.88/2.58 tff(f4168,plain,( 14.88/2.58 mem(vertex,sF48,sF81) | ~spl103_265), 14.88/2.58 inference(avatar_component_clause,[],[f4167])). 14.88/2.58 tff(f6176,plain,( 14.88/2.58 ~spl103_364 | ~spl103_36 | ~spl103_268), 14.88/2.58 inference(avatar_split_clause,[],[f6156,f4182,f1213,f6173])). 14.88/2.58 tff(f6173,plain,( 14.88/2.58 spl103_364 <=> $less(tb2t3(get(int,vertex,sF84,sF42)),sF86)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_364])])). 14.88/2.58 tff(f6156,plain,( 14.88/2.58 ~$less(tb2t3(get(int,vertex,sF84,sF42)),sF86) | (~spl103_36 | ~spl103_268)), 14.88/2.58 inference(subsumption_resolution,[],[f2807,f4183])). 14.88/2.58 tff(f2807,plain,( 14.88/2.58 ~$less(tb2t3(get(int,vertex,sF84,sF42)),sF86) | ~mem(vertex,sF42,sF87) | ~spl103_36), 14.88/2.58 inference(superposition,[],[f913,f1215])). 14.88/2.58 tff(f913,plain,( 14.88/2.58 ( ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,sF84,t2tb2(X33))),sF86) | ~mem(vertex,t2tb2(X33),sF87)) )), 14.88/2.58 inference(definition_folding,[],[f293,f909,f906,f905,f660,f904,f904])). 14.88/2.58 tff(f905,plain,( 14.88/2.58 get(int,vertex,sF84,sF50) = sF85), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f906,plain,( 14.88/2.58 tb2t3(sF85) = sF86), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f293,plain,( 14.88/2.58 ( ! [X33 : vertex1] : (~$less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X33))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11)))) | ~mem(vertex,t2tb2(X33),t2tb(sK6))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f6164,plain,( 14.88/2.58 spl103_265 | ~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_316), 14.88/2.58 inference(avatar_split_clause,[],[f6129,f4962,f2736,f1421,f1412,f1108,f4167])). 14.88/2.58 tff(f1412,plain,( 14.88/2.58 spl103_75 <=> sort1(vertex,sF48)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_75])])). 14.88/2.58 tff(f6129,plain,( 14.88/2.58 mem(vertex,sF48,sF81) | (~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f1414,f4963,f6111])). 14.88/2.58 tff(f1414,plain,( 14.88/2.58 sort1(vertex,sF48) | ~spl103_75), 14.88/2.58 inference(avatar_component_clause,[],[f1412])). 14.88/2.58 tff(f6153,plain,( 14.88/2.58 ~spl103_73 | ~spl103_76 | ~spl103_159 | ~spl103_267), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6152])). 14.88/2.58 tff(f6152,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_76 | ~spl103_159 | ~spl103_267)), 14.88/2.58 inference(global_subsumption,[],[f649,f1402,f6145])). 14.88/2.58 tff(f6145,plain,( 14.88/2.58 mem(vertex,sF42,sF43) | ~sort1(vertex,sF42) | (~spl103_76 | ~spl103_159 | ~spl103_267)), 14.88/2.58 inference(resolution,[],[f4179,f3158])). 14.88/2.58 tff(f3158,plain,( 14.88/2.58 ( ! [X2 : uni] : (~mem(vertex,X2,sF81) | mem(vertex,X2,sF43) | ~sort1(vertex,X2)) ) | (~spl103_76 | ~spl103_159)), 14.88/2.58 inference(global_subsumption,[],[f1423,f3156])). 14.88/2.58 tff(f3156,plain,( 14.88/2.58 ( ! [X2 : uni] : (mem(vertex,X2,sF43) | ~mem(vertex,X2,sF81) | ~sort1(vertex,sF50) | ~sort1(vertex,X2)) ) | ~spl103_159), 14.88/2.58 inference(superposition,[],[f576,f2738])). 14.88/2.58 tff(f4179,plain,( 14.88/2.58 mem(vertex,sF42,sF81) | ~spl103_267), 14.88/2.58 inference(avatar_component_clause,[],[f4178])). 14.88/2.58 tff(f4178,plain,( 14.88/2.58 spl103_267 <=> mem(vertex,sF42,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_267])])). 14.88/2.58 tff(f6151,plain,( 14.88/2.58 ~spl103_23 | ~spl103_73 | ~spl103_76 | ~spl103_159 | ~spl103_267), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6150])). 14.88/2.58 tff(f6150,plain,( 14.88/2.58 $false | (~spl103_23 | ~spl103_73 | ~spl103_76 | ~spl103_159 | ~spl103_267)), 14.88/2.58 inference(global_subsumption,[],[f649,f1402,f6145])). 14.88/2.58 tff(f6149,plain,( 14.88/2.58 ~spl103_73 | ~spl103_76 | ~spl103_159 | ~spl103_267), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6148])). 14.88/2.58 tff(f6148,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_76 | ~spl103_159 | ~spl103_267)), 14.88/2.58 inference(global_subsumption,[],[f649,f1402,f6145])). 14.88/2.58 tff(f6141,plain,( 14.88/2.58 ~spl103_15 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_267 | spl103_268 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6140])). 14.88/2.58 tff(f6140,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_267 | spl103_268 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f656,f1409,f4963,f6111,f4572])). 14.88/2.58 tff(f4572,plain,( 14.88/2.58 ~mem(vertex,sF48,sF81) | ~mem(vertex,sF42,sF47) | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | spl103_267 | spl103_268)), 14.88/2.58 inference(forward_demodulation,[],[f4571,f1245])). 14.88/2.58 tff(f4571,plain,( 14.88/2.58 ~mem(vertex,sF42,sF47) | ~mem(vertex,t2tb2(sK21),sF81) | (~spl103_36 | ~spl103_40 | ~spl103_41 | spl103_267 | spl103_268)), 14.88/2.58 inference(forward_demodulation,[],[f4569,f1240])). 14.88/2.58 tff(f4569,plain,( 14.88/2.58 ~mem(vertex,sF42,t2tb(sF46)) | ~mem(vertex,t2tb2(sK21),sF81) | (~spl103_36 | ~spl103_40 | spl103_267 | spl103_268)), 14.88/2.58 inference(superposition,[],[f4187,f1235])). 14.88/2.58 tff(f4187,plain,( 14.88/2.58 ( ! [X7 : vertex1] : (~mem(vertex,sF42,t2tb(g_succ1(X7))) | ~mem(vertex,t2tb2(X7),sF81)) ) | (~spl103_36 | spl103_267 | spl103_268)), 14.88/2.58 inference(subsumption_resolution,[],[f4186,f4180])). 14.88/2.58 tff(f4180,plain,( 14.88/2.58 ~mem(vertex,sF42,sF81) | spl103_267), 14.88/2.58 inference(avatar_component_clause,[],[f4178])). 14.88/2.58 tff(f4186,plain,( 14.88/2.58 ( ! [X7 : vertex1] : (~mem(vertex,sF42,t2tb(g_succ1(X7))) | mem(vertex,sF42,sF81) | ~mem(vertex,t2tb2(X7),sF81)) ) | (~spl103_36 | spl103_268)), 14.88/2.58 inference(subsumption_resolution,[],[f3132,f4184])). 14.88/2.58 tff(f4184,plain,( 14.88/2.58 ~mem(vertex,sF42,sF87) | spl103_268), 14.88/2.58 inference(avatar_component_clause,[],[f4182])). 14.88/2.58 tff(f3132,plain,( 14.88/2.58 ( ! [X7 : vertex1] : (~mem(vertex,sF42,t2tb(g_succ1(X7))) | mem(vertex,sF42,sF87) | mem(vertex,sF42,sF81) | ~mem(vertex,t2tb2(X7),sF81)) ) | ~spl103_36), 14.88/2.58 inference(superposition,[],[f924,f1215])). 14.88/2.58 tff(f924,plain,( 14.88/2.58 ( ! [X40 : vertex1,X39 : vertex1] : (~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39))) | mem(vertex,t2tb2(X40),sF87) | mem(vertex,t2tb2(X40),sF81) | ~mem(vertex,t2tb2(X39),sF81)) )), 14.88/2.58 inference(definition_folding,[],[f283,f900,f909,f900])). 14.88/2.58 tff(f283,plain,( 14.88/2.58 ( ! [X40 : vertex1,X39 : vertex1] : (mem(vertex,t2tb2(X40),t2tb(sK8)) | mem(vertex,t2tb2(X40),t2tb(sK6)) | ~mem(vertex,t2tb2(X40),t2tb(g_succ1(X39))) | ~mem(vertex,t2tb2(X39),t2tb(sK8))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f6139,plain,( 14.88/2.58 ~spl103_15 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_267 | spl103_268 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6138])). 14.88/2.58 tff(f6138,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_267 | spl103_268 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f656,f1409,f4963,f6111,f4572])). 14.88/2.58 tff(f6137,plain,( 14.88/2.58 ~spl103_15 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_267 | spl103_268 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6136])). 14.88/2.58 tff(f6136,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_267 | spl103_268 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f656,f1409,f4963,f6111,f5511])). 14.88/2.58 tff(f5511,plain,( 14.88/2.58 ~mem(vertex,sF48,sF81) | ~mem(vertex,sF42,sF47) | (~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | spl103_267 | spl103_268)), 14.88/2.58 inference(forward_demodulation,[],[f5510,f1245])). 14.88/2.58 tff(f5510,plain,( 14.88/2.58 ~mem(vertex,sF42,sF47) | ~mem(vertex,t2tb2(sK21),sF81) | (~spl103_36 | ~spl103_40 | ~spl103_41 | spl103_267 | spl103_268)), 14.88/2.58 inference(forward_demodulation,[],[f5500,f1240])). 14.88/2.58 tff(f5500,plain,( 14.88/2.58 ~mem(vertex,sF42,t2tb(sF46)) | ~mem(vertex,t2tb2(sK21),sF81) | (~spl103_36 | ~spl103_40 | spl103_267 | spl103_268)), 14.88/2.58 inference(superposition,[],[f4187,f1235])). 14.88/2.58 tff(f6135,plain,( 14.88/2.58 ~spl103_15 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_267 | spl103_268 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6134])). 14.88/2.58 tff(f6134,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_36 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_76 | ~spl103_159 | spl103_267 | spl103_268 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f656,f1409,f4963,f6111,f5511])). 14.88/2.58 tff(f6126,plain,( 14.88/2.58 ~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6125])). 14.88/2.58 tff(f6125,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f1414,f4169,f4963,f6111])). 14.88/2.58 tff(f4169,plain,( 14.88/2.58 ~mem(vertex,sF48,sF81) | spl103_265), 14.88/2.58 inference(avatar_component_clause,[],[f4167])). 14.88/2.58 tff(f6124,plain,( 14.88/2.58 ~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6123])). 14.88/2.58 tff(f6123,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f1414,f4169,f4963,f6111])). 14.88/2.58 tff(f6122,plain,( 14.88/2.58 ~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6121])). 14.88/2.58 tff(f6121,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f1414,f4169,f4963,f6111])). 14.88/2.58 tff(f6120,plain,( 14.88/2.58 ~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6119])). 14.88/2.58 tff(f6119,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f1414,f4169,f4963,f6111])). 14.88/2.58 tff(f6118,plain,( 14.88/2.58 ~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316), 14.88/2.58 inference(avatar_contradiction_clause,[],[f6117])). 14.88/2.58 tff(f6117,plain,( 14.88/2.58 $false | (~spl103_15 | ~spl103_75 | ~spl103_76 | ~spl103_159 | spl103_265 | spl103_316)), 14.88/2.58 inference(global_subsumption,[],[f1414,f4169,f4963,f6111])). 14.88/2.58 tff(f6101,plain,( 14.88/2.58 ~spl103_363 | ~spl103_294 | spl103_360), 14.88/2.58 inference(avatar_split_clause,[],[f6079,f6074,f4396,f6098])). 14.88/2.58 tff(f4396,plain,( 14.88/2.58 spl103_294 <=> path1(sK0,sK25,tb2t3(get(int,vertex,sF84,sF90)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_294])])). 14.88/2.58 tff(f6074,plain,( 14.88/2.58 spl103_360 <=> path1(sK0,sK25,tb2t3(get(int,vertex,sF59,sF90)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_360])])). 14.88/2.58 tff(f6079,plain,( 14.88/2.58 sF59 != sF84 | (~spl103_294 | spl103_360)), 14.88/2.58 inference(constrained_resolution,[],[f6075,f4398])). 14.88/2.58 tff(f4398,plain,( 14.88/2.58 path1(sK0,sK25,tb2t3(get(int,vertex,sF84,sF90))) | ~spl103_294), 14.88/2.58 inference(avatar_component_clause,[],[f4396])). 14.88/2.58 tff(f6075,plain,( 14.88/2.58 ~path1(sK0,sK25,tb2t3(get(int,vertex,sF59,sF90))) | spl103_360), 14.88/2.58 inference(avatar_component_clause,[],[f6074])). 14.88/2.58 tff(f6095,plain,( 14.88/2.58 ~spl103_361 | spl103_362 | ~spl103_67), 14.88/2.58 inference(avatar_split_clause,[],[f5761,f1368,f6092,f6088])). 14.88/2.58 tff(f6088,plain,( 14.88/2.58 spl103_361 <=> mem(vertex,sF91,sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_361])])). 14.88/2.58 tff(f6092,plain,( 14.88/2.58 spl103_362 <=> path1(sK0,sK26,tb2t3(get(int,vertex,sF59,sF91)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_362])])). 14.88/2.58 tff(f1368,plain,( 14.88/2.58 spl103_67 <=> t2tb2(sK26) = sF91), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_67])])). 14.88/2.58 tff(f5761,plain,( 14.88/2.58 path1(sK0,sK26,tb2t3(get(int,vertex,sF59,sF91))) | ~mem(vertex,sF91,sF58) | ~spl103_67), 14.88/2.58 inference(superposition,[],[f883,f1370])). 14.88/2.58 tff(f1370,plain,( 14.88/2.58 t2tb2(sK26) = sF91 | ~spl103_67), 14.88/2.58 inference(avatar_component_clause,[],[f1368])). 14.88/2.58 tff(f883,plain,( 14.88/2.58 ( ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,sF59,t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),sF58)) )), 14.88/2.58 inference(definition_folding,[],[f308,f681,f694])). 14.88/2.58 tff(f694,plain,( 14.88/2.58 t2tb1(sK15) = sF59), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f308,plain,( 14.88/2.58 ( ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),t2tb(sK14))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f6077,plain,( 14.88/2.58 ~spl103_359 | spl103_360 | ~spl103_66), 14.88/2.58 inference(avatar_split_clause,[],[f5760,f1363,f6074,f6070])). 14.88/2.58 tff(f6070,plain,( 14.88/2.58 spl103_359 <=> mem(vertex,sF90,sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_359])])). 14.88/2.58 tff(f1363,plain,( 14.88/2.58 spl103_66 <=> t2tb2(sK25) = sF90), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_66])])). 14.88/2.58 tff(f5760,plain,( 14.88/2.58 path1(sK0,sK25,tb2t3(get(int,vertex,sF59,sF90))) | ~mem(vertex,sF90,sF58) | ~spl103_66), 14.88/2.58 inference(superposition,[],[f883,f1365])). 14.88/2.58 tff(f1365,plain,( 14.88/2.58 t2tb2(sK25) = sF90 | ~spl103_66), 14.88/2.58 inference(avatar_component_clause,[],[f1363])). 14.88/2.58 tff(f6060,plain,( 14.88/2.58 ~spl103_357 | spl103_358 | ~spl103_57), 14.88/2.58 inference(avatar_split_clause,[],[f5759,f1318,f6057,f6053])). 14.88/2.58 tff(f6053,plain,( 14.88/2.58 spl103_357 <=> mem(vertex,sF74,sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_357])])). 14.88/2.58 tff(f6057,plain,( 14.88/2.58 spl103_358 <=> path1(sK0,sK24,tb2t3(get(int,vertex,sF59,sF74)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_358])])). 14.88/2.58 tff(f1318,plain,( 14.88/2.58 spl103_57 <=> t2tb2(sK24) = sF74), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_57])])). 14.88/2.58 tff(f5759,plain,( 14.88/2.58 path1(sK0,sK24,tb2t3(get(int,vertex,sF59,sF74))) | ~mem(vertex,sF74,sF58) | ~spl103_57), 14.88/2.58 inference(superposition,[],[f883,f1320])). 14.88/2.58 tff(f1320,plain,( 14.88/2.58 t2tb2(sK24) = sF74 | ~spl103_57), 14.88/2.58 inference(avatar_component_clause,[],[f1318])). 14.88/2.58 tff(f6043,plain,( 14.88/2.58 ~spl103_355 | spl103_356 | ~spl103_56), 14.88/2.58 inference(avatar_split_clause,[],[f5758,f1313,f6040,f6036])). 14.88/2.58 tff(f6036,plain,( 14.88/2.58 spl103_355 <=> mem(vertex,sF73,sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_355])])). 14.88/2.58 tff(f6040,plain,( 14.88/2.58 spl103_356 <=> path1(sK0,sK23,tb2t3(get(int,vertex,sF59,sF73)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_356])])). 14.88/2.58 tff(f1313,plain,( 14.88/2.58 spl103_56 <=> t2tb2(sK23) = sF73), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_56])])). 14.88/2.58 tff(f5758,plain,( 14.88/2.58 path1(sK0,sK23,tb2t3(get(int,vertex,sF59,sF73))) | ~mem(vertex,sF73,sF58) | ~spl103_56), 14.88/2.58 inference(superposition,[],[f883,f1315])). 14.88/2.58 tff(f1315,plain,( 14.88/2.58 t2tb2(sK23) = sF73 | ~spl103_56), 14.88/2.58 inference(avatar_component_clause,[],[f1313])). 14.88/2.58 tff(f6026,plain,( 14.88/2.58 ~spl103_353 | spl103_354 | ~spl103_36), 14.88/2.58 inference(avatar_split_clause,[],[f5757,f1213,f6023,f6019])). 14.88/2.58 tff(f6023,plain,( 14.88/2.58 spl103_354 <=> path1(sK0,sK22,tb2t3(get(int,vertex,sF59,sF42)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_354])])). 14.88/2.58 tff(f5757,plain,( 14.88/2.58 path1(sK0,sK22,tb2t3(get(int,vertex,sF59,sF42))) | ~mem(vertex,sF42,sF58) | ~spl103_36), 14.88/2.58 inference(superposition,[],[f883,f1215])). 14.88/2.58 tff(f6009,plain,( 14.88/2.58 ~spl103_351 | spl103_352 | ~spl103_72), 14.88/2.58 inference(avatar_split_clause,[],[f5753,f1393,f6006,f6002])). 14.88/2.58 tff(f6002,plain,( 14.88/2.58 spl103_351 <=> mem(vertex,sF102,sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_351])])). 14.88/2.58 tff(f6006,plain,( 14.88/2.58 spl103_352 <=> path1(sK0,sK1,tb2t3(get(int,vertex,sF59,sF102)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_352])])). 14.88/2.58 tff(f1393,plain,( 14.88/2.58 spl103_72 <=> t2tb2(sK1) = sF102), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_72])])). 14.88/2.58 tff(f5753,plain,( 14.88/2.58 path1(sK0,sK1,tb2t3(get(int,vertex,sF59,sF102))) | ~mem(vertex,sF102,sF58) | ~spl103_72), 14.88/2.58 inference(superposition,[],[f883,f1395])). 14.88/2.58 tff(f1395,plain,( 14.88/2.58 t2tb2(sK1) = sF102 | ~spl103_72), 14.88/2.58 inference(avatar_component_clause,[],[f1393])). 14.88/2.58 tff(f5947,plain,( 14.88/2.58 spl103_350 | spl103_103 | ~spl103_340), 14.88/2.58 inference(avatar_split_clause,[],[f5687,f5667,f1828,f5944])). 14.88/2.58 tff(f5944,plain,( 14.88/2.58 spl103_350 <=> cardinal1(vertex,sF44) = $sum(1,cardinal1(vertex,sF58))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_350])])). 14.88/2.58 tff(f5687,plain,( 14.88/2.58 cardinal1(vertex,sF44) = $sum(1,cardinal1(vertex,sF58)) | (spl103_103 | ~spl103_340)), 14.88/2.58 inference(global_subsumption,[],[f1830,f5681])). 14.88/2.58 tff(f5681,plain,( 14.88/2.58 cardinal1(vertex,sF44) = $sum(1,cardinal1(vertex,sF58)) | mem(vertex,sF55,sF58) | ~spl103_340), 14.88/2.58 inference(superposition,[],[f578,f5669])). 14.88/2.58 tff(f578,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)) | mem(X0,X1,X2)) )), 14.88/2.58 inference(cnf_transformation,[],[f190])). 14.88/2.58 tff(f190,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : (cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)) | mem(X0,X1,X2))), 14.88/2.58 inference(ennf_transformation,[],[f138])). 14.88/2.58 tff(f138,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : (~mem(X0,X1,X2) => cardinal1(X0,add(X0,X1,X2)) = $sum(1,cardinal1(X0,X2)))), 14.88/2.58 inference(rectify,[],[f4])). 14.88/2.58 tff(f4,axiom,( 14.88/2.58 ! [X0 : ty,X7 : uni,X1 : uni] : (~mem(X0,X7,X1) => cardinal1(X0,add(X0,X7,X1)) = $sum(1,cardinal1(X0,X1)))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_add)). 14.88/2.58 tff(f5942,plain,( 14.88/2.58 spl103_349 | ~spl103_340), 14.88/2.58 inference(avatar_split_clause,[],[f5678,f5667,f5939])). 14.88/2.58 tff(f5939,plain,( 14.88/2.58 spl103_349 <=> remove(vertex,sF55,sF44) = remove(vertex,sF55,sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_349])])). 14.88/2.58 tff(f5678,plain,( 14.88/2.58 remove(vertex,sF55,sF44) = remove(vertex,sF55,sF58) | ~spl103_340), 14.88/2.58 inference(superposition,[],[f562,f5669])). 14.88/2.58 tff(f562,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (remove(X0,X1,X2) = remove(X0,X1,add(X0,X1,X2))) )), 14.88/2.58 inference(cnf_transformation,[],[f131])). 14.88/2.58 tff(f131,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : remove(X0,X1,X2) = remove(X0,X1,add(X0,X1,X2))), 14.88/2.58 inference(rectify,[],[f73])). 14.88/2.58 tff(f73,axiom,( 14.88/2.58 ! [X0 : ty,X7 : uni,X1 : uni] : remove(X0,X7,X1) = remove(X0,X7,add(X0,X7,X1))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_add)). 14.88/2.58 tff(f5937,plain,( 14.88/2.58 spl103_348 | ~spl103_24 | spl103_139), 14.88/2.58 inference(avatar_split_clause,[],[f4324,f2472,f1153,f5934])). 14.88/2.58 tff(f5934,plain,( 14.88/2.58 spl103_348 <=> mem(vertex,choose(vertex,sF87),sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_348])])). 14.88/2.58 tff(f2472,plain,( 14.88/2.58 spl103_139 <=> is_empty(vertex,sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_139])])). 14.88/2.58 tff(f4324,plain,( 14.88/2.58 mem(vertex,choose(vertex,sF87),sF77) | (~spl103_24 | spl103_139)), 14.88/2.58 inference(global_subsumption,[],[f2474,f4320])). 14.88/2.58 tff(f4320,plain,( 14.88/2.58 mem(vertex,choose(vertex,sF87),sF77) | is_empty(vertex,sF87) | ~spl103_24), 14.88/2.58 inference(resolution,[],[f2954,f547])). 14.88/2.58 tff(f547,plain,( 14.88/2.58 ( ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1)) )), 14.88/2.58 inference(cnf_transformation,[],[f176])). 14.88/2.58 tff(f176,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1))), 14.88/2.58 inference(ennf_transformation,[],[f1])). 14.88/2.58 tff(f1,axiom,( 14.88/2.58 ! [X0 : ty,X1 : uni] : (~is_empty(X0,X1) => mem(X0,choose(X0,X1),X1))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choose_def)). 14.88/2.58 tff(f2474,plain,( 14.88/2.58 ~is_empty(vertex,sF87) | spl103_139), 14.88/2.58 inference(avatar_component_clause,[],[f2472])). 14.88/2.58 tff(f5924,plain,( 14.88/2.58 spl103_347 | ~spl103_24 | spl103_139), 14.88/2.58 inference(avatar_split_clause,[],[f4323,f2472,f1153,f5921])). 14.88/2.58 tff(f5921,plain,( 14.88/2.58 spl103_347 <=> mem(vertex,sK30(vertex,sF87),sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_347])])). 14.88/2.58 tff(f4323,plain,( 14.88/2.58 mem(vertex,sK30(vertex,sF87),sF77) | (~spl103_24 | spl103_139)), 14.88/2.58 inference(global_subsumption,[],[f2474,f4319])). 14.88/2.58 tff(f4319,plain,( 14.88/2.58 mem(vertex,sK30(vertex,sF87),sF77) | is_empty(vertex,sF87) | ~spl103_24), 14.88/2.58 inference(resolution,[],[f2954,f546])). 14.88/2.58 tff(f546,plain,( 14.88/2.58 ( ! [X0 : ty,X1 : uni] : (mem(X0,sK30(X0,X1),X1) | is_empty(X0,X1)) )), 14.88/2.58 inference(cnf_transformation,[],[f245])). 14.88/2.58 tff(f5911,plain,( 14.88/2.58 ~spl103_346 | spl103_92), 14.88/2.58 inference(avatar_split_clause,[],[f5905,f1627,f5908])). 14.88/2.58 tff(f5908,plain,( 14.88/2.58 spl103_346 <=> sF44 = sF77), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_346])])). 14.88/2.58 tff(f5905,plain,( 14.88/2.58 sF44 != sF77 | spl103_92), 14.88/2.58 inference(constrained_resolution,[],[f1628,f538])). 14.88/2.58 tff(f538,plain,( 14.88/2.58 ( ! [X0 : ty,X1 : uni] : (subset(X0,X1,X1)) )), 14.88/2.58 inference(cnf_transformation,[],[f71])). 14.88/2.58 tff(f71,axiom,( 14.88/2.58 ! [X0 : ty,X1 : uni] : subset(X0,X1,X1)), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_refl)). 14.88/2.58 tff(f1628,plain,( 14.88/2.58 ~subset(vertex,sF44,sF77) | spl103_92), 14.88/2.58 inference(avatar_component_clause,[],[f1627])). 14.88/2.58 tff(f5904,plain,( 14.88/2.58 spl103_345 | ~spl103_92 | spl103_158), 14.88/2.58 inference(avatar_split_clause,[],[f4310,f2731,f1627,f5901])). 14.88/2.58 tff(f2731,plain,( 14.88/2.58 spl103_158 <=> is_empty(vertex,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_158])])). 14.88/2.58 tff(f4310,plain,( 14.88/2.58 mem(vertex,choose(vertex,sF44),sF77) | (~spl103_92 | spl103_158)), 14.88/2.58 inference(global_subsumption,[],[f2733,f4306])). 14.88/2.58 tff(f4306,plain,( 14.88/2.58 mem(vertex,choose(vertex,sF44),sF77) | is_empty(vertex,sF44) | ~spl103_92), 14.88/2.58 inference(resolution,[],[f2952,f547])). 14.88/2.58 tff(f2952,plain,( 14.88/2.58 ( ! [X3 : uni] : (~mem(vertex,X3,sF44) | mem(vertex,X3,sF77)) ) | ~spl103_92), 14.88/2.58 inference(resolution,[],[f563,f1629])). 14.88/2.58 tff(f1629,plain,( 14.88/2.58 subset(vertex,sF44,sF77) | ~spl103_92), 14.88/2.58 inference(avatar_component_clause,[],[f1627])). 14.88/2.58 tff(f2733,plain,( 14.88/2.58 ~is_empty(vertex,sF44) | spl103_158), 14.88/2.58 inference(avatar_component_clause,[],[f2731])). 14.88/2.58 tff(f5863,plain,( 14.88/2.58 spl103_344 | ~spl103_48), 14.88/2.58 inference(avatar_split_clause,[],[f1915,f1273,f5860])). 14.88/2.58 tff(f5860,plain,( 14.88/2.58 spl103_344 <=> sort1(set(vertex),sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_344])])). 14.88/2.58 tff(f1915,plain,( 14.88/2.58 sort1(set(vertex),sF58) | ~spl103_48), 14.88/2.58 inference(superposition,[],[f528,f1275])). 14.88/2.58 tff(f528,plain,( 14.88/2.58 ( ! [X0 : set_vertex] : (sort1(set(vertex),t2tb(X0))) )), 14.88/2.58 inference(cnf_transformation,[],[f105])). 14.88/2.58 tff(f105,plain,( 14.88/2.58 ! [X0 : set_vertex] : sort1(set(vertex),t2tb(X0))), 14.88/2.58 inference(rectify,[],[f76])). 14.88/2.58 tff(f76,axiom,( 14.88/2.58 ! [X7 : set_vertex] : sort1(set(vertex),t2tb(X7))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort)). 14.88/2.58 tff(f5857,plain,( 14.88/2.58 spl103_343 | ~spl103_48), 14.88/2.58 inference(avatar_split_clause,[],[f1893,f1273,f5854])). 14.88/2.58 tff(f5854,plain,( 14.88/2.58 spl103_343 <=> sK14 = tb2t(sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_343])])). 14.88/2.58 tff(f1893,plain,( 14.88/2.58 sK14 = tb2t(sF58) | ~spl103_48), 14.88/2.58 inference(superposition,[],[f525,f1275])). 14.88/2.58 tff(f525,plain,( 14.88/2.58 ( ! [X0 : set_vertex] : (tb2t(t2tb(X0)) = X0) )), 14.88/2.58 inference(cnf_transformation,[],[f102])). 14.88/2.58 tff(f102,plain,( 14.88/2.58 ! [X0 : set_vertex] : tb2t(t2tb(X0)) = X0), 14.88/2.58 inference(rectify,[],[f44])). 14.88/2.58 tff(f44,axiom,( 14.88/2.58 ! [X19 : set_vertex] : tb2t(t2tb(X19)) = X19), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL)). 14.88/2.58 tff(f5850,plain,( 14.88/2.58 spl103_111 | ~spl103_38 | spl103_95 | spl103_98 | ~spl103_169 | ~spl103_229), 14.88/2.58 inference(avatar_split_clause,[],[f5451,f3889,f2979,f1750,f1701,f1223,f2056])). 14.88/2.58 tff(f1750,plain,( 14.88/2.58 spl103_98 <=> $less(sF62,sF69)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_98])])). 14.88/2.58 tff(f3889,plain,( 14.88/2.58 spl103_229 <=> sF66 = t2tb(sF67)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_229])])). 14.88/2.58 tff(f5451,plain,( 14.88/2.58 mem(vertex,sF55,sF44) | (~spl103_38 | spl103_95 | spl103_98 | ~spl103_169 | ~spl103_229)), 14.88/2.58 inference(forward_demodulation,[],[f2981,f5405])). 14.88/2.58 tff(f5405,plain,( 14.88/2.58 sF44 = sF66 | (~spl103_38 | spl103_95 | spl103_98 | ~spl103_229)), 14.88/2.58 inference(backward_demodulation,[],[f5397,f1225])). 14.88/2.58 tff(f5397,plain,( 14.88/2.58 t2tb(sK19) = sF66 | (spl103_95 | spl103_98 | ~spl103_229)), 14.88/2.58 inference(backward_demodulation,[],[f3891,f5395])). 14.88/2.58 tff(f5395,plain,( 14.88/2.58 sK19 = sF67 | (spl103_95 | spl103_98)), 14.88/2.58 inference(global_subsumption,[],[f1796])). 14.88/2.58 tff(f1796,plain,( 14.88/2.58 sK19 = sF67 | (spl103_95 | spl103_98)), 14.88/2.58 inference(global_subsumption,[],[f950,f1702,f1751])). 14.88/2.58 tff(f1751,plain,( 14.88/2.58 ~$less(sF62,sF69) | spl103_98), 14.88/2.58 inference(avatar_component_clause,[],[f1750])). 14.88/2.58 tff(f1702,plain,( 14.88/2.58 sK15 != sK20 | spl103_95), 14.88/2.58 inference(avatar_component_clause,[],[f1701])). 14.88/2.58 tff(f950,plain,( 14.88/2.58 $less(sF62,sF69) | sK19 = sF67 | sK15 = sK20), 14.88/2.58 inference(duplicate_literal_removal,[],[f869])). 14.88/2.58 tff(f869,plain,( 14.88/2.58 $less(sF62,sF69) | sK19 = sF67 | sK15 = sK20 | sK15 = sK20), 14.88/2.58 inference(definition_folding,[],[f319,f714,f713,f681,f665,f824,f823,f665,f694,f697,f663,f696,f695,f660,f694])). 14.88/2.58 tff(f696,plain,( 14.88/2.58 tb2t3(sF60) = sF61), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f663,plain,( 14.88/2.58 weight1(sK11,sK18) = sF53), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f697,plain,( 14.88/2.58 $sum(sF61,sF53) = sF62), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f823,plain,( 14.88/2.58 get(int,vertex,sF59,sF55) = sF68), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f824,plain,( 14.88/2.58 tb2t3(sF68) = sF69), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f713,plain,( 14.88/2.58 add(vertex,sF55,sF58) = sF66), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f714,plain,( 14.88/2.58 tb2t(sF66) = sF67), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f319,plain,( 14.88/2.58 $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK18)))) | tb2t(add(vertex,t2tb2(sK18),t2tb(sK14))) = sK19 | sK15 = sK20 | sK15 = sK20), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f3891,plain,( 14.88/2.58 sF66 = t2tb(sF67) | ~spl103_229), 14.88/2.58 inference(avatar_component_clause,[],[f3889])). 14.88/2.58 tff(f2981,plain,( 14.88/2.58 mem(vertex,sF55,sF66) | ~spl103_169), 14.88/2.58 inference(avatar_component_clause,[],[f2979])). 14.88/2.58 tff(f5849,plain,( 14.88/2.58 ~spl103_342 | ~spl103_44 | ~spl103_170), 14.88/2.58 inference(avatar_split_clause,[],[f5403,f2993,f1253,f5846])). 14.88/2.58 tff(f5846,plain,( 14.88/2.58 spl103_342 <=> mem(vertex,sF50,sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_342])])). 14.88/2.58 tff(f5403,plain,( 14.88/2.58 ~mem(vertex,sF50,sF58) | (~spl103_44 | ~spl103_170)), 14.88/2.58 inference(global_subsumption,[],[f2995,f2542])). 14.88/2.58 tff(f2542,plain,( 14.88/2.58 ~mem(vertex,sF50,sF58) | ~mem(vertex,sF50,sF43) | ~spl103_44), 14.88/2.58 inference(superposition,[],[f891,f1255])). 14.88/2.58 tff(f891,plain,( 14.88/2.58 ( ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),sF58) | ~mem(vertex,t2tb2(X30),sF43)) )), 14.88/2.58 inference(definition_folding,[],[f302,f681,f648])). 14.88/2.58 tff(f302,plain,( 14.88/2.58 ( ! [X30 : vertex1] : (~mem(vertex,t2tb2(X30),t2tb(sK12)) | ~mem(vertex,t2tb2(X30),t2tb(sK14))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f5675,plain,( 14.88/2.58 spl103_341 | ~spl103_38 | spl103_95 | spl103_98 | ~spl103_114 | ~spl103_229), 14.88/2.58 inference(avatar_split_clause,[],[f5452,f3889,f2077,f1750,f1701,f1223,f5672])). 14.88/2.58 tff(f5672,plain,( 14.88/2.58 spl103_341 <=> sF44 = add(vertex,sF55,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_341])])). 14.88/2.58 tff(f5452,plain,( 14.88/2.58 sF44 = add(vertex,sF55,sF44) | (~spl103_38 | spl103_95 | spl103_98 | ~spl103_114 | ~spl103_229)), 14.88/2.58 inference(forward_demodulation,[],[f2079,f5405])). 14.88/2.58 tff(f2079,plain,( 14.88/2.58 sF66 = add(vertex,sF55,sF44) | ~spl103_114), 14.88/2.58 inference(avatar_component_clause,[],[f2077])). 14.88/2.58 tff(f5670,plain,( 14.88/2.58 spl103_340 | ~spl103_38 | spl103_95 | spl103_98 | ~spl103_126 | ~spl103_229), 14.88/2.58 inference(avatar_split_clause,[],[f5407,f3889,f2167,f1750,f1701,f1223,f5667])). 14.88/2.58 tff(f5407,plain,( 14.88/2.58 sF44 = add(vertex,sF55,sF58) | (~spl103_38 | spl103_95 | spl103_98 | ~spl103_126 | ~spl103_229)), 14.88/2.58 inference(backward_demodulation,[],[f2169,f5405])). 14.88/2.58 tff(f5485,plain,( 14.88/2.58 spl103_339 | ~spl103_38 | ~spl103_53 | spl103_95 | spl103_98 | ~spl103_229), 14.88/2.58 inference(avatar_split_clause,[],[f5415,f3889,f1750,f1701,f1298,f1223,f5482])). 14.88/2.58 tff(f5482,plain,( 14.88/2.58 spl103_339 <=> sK19 = tb2t(sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_339])])). 14.88/2.58 tff(f1298,plain,( 14.88/2.58 spl103_53 <=> tb2t(sF66) = sF67), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_53])])). 14.88/2.58 tff(f5415,plain,( 14.88/2.58 sK19 = tb2t(sF44) | (~spl103_38 | ~spl103_53 | spl103_95 | spl103_98 | ~spl103_229)), 14.88/2.58 inference(backward_demodulation,[],[f5396,f5405])). 14.88/2.58 tff(f5396,plain,( 14.88/2.58 sK19 = tb2t(sF66) | (~spl103_53 | spl103_95 | spl103_98)), 14.88/2.58 inference(backward_demodulation,[],[f1300,f5395])). 14.88/2.58 tff(f1300,plain,( 14.88/2.58 tb2t(sF66) = sF67 | ~spl103_53), 14.88/2.58 inference(avatar_component_clause,[],[f1298])). 14.88/2.58 tff(f5480,plain,( 14.88/2.58 ~spl103_136 | ~spl103_38 | spl103_95 | spl103_97 | spl103_98 | ~spl103_229), 14.88/2.58 inference(avatar_split_clause,[],[f5406,f3889,f1750,f1739,f1701,f1223,f2413])). 14.88/2.58 tff(f2413,plain,( 14.88/2.58 spl103_136 <=> sK14 = tb2t(sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_136])])). 14.88/2.58 tff(f1739,plain,( 14.88/2.58 spl103_97 <=> sK14 = tb2t(sF66)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_97])])). 14.88/2.58 tff(f5406,plain,( 14.88/2.58 sK14 != tb2t(sF44) | (~spl103_38 | spl103_95 | spl103_97 | spl103_98 | ~spl103_229)), 14.88/2.58 inference(backward_demodulation,[],[f1740,f5405])). 14.88/2.58 tff(f1740,plain,( 14.88/2.58 sK14 != tb2t(sF66) | spl103_97), 14.88/2.58 inference(avatar_component_clause,[],[f1739])). 14.88/2.58 tff(f5476,plain,( 14.88/2.58 ~spl103_338 | ~spl103_84 | spl103_171), 14.88/2.58 inference(avatar_split_clause,[],[f5458,f3017,f1482,f5473])). 14.88/2.58 tff(f1482,plain,( 14.88/2.58 spl103_84 <=> $less(sF57,sF54)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_84])])). 14.88/2.58 tff(f3017,plain,( 14.88/2.58 spl103_171 <=> $less(sF57,sF69)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_171])])). 14.88/2.58 tff(f5458,plain,( 14.88/2.58 sF54 != sF69 | (~spl103_84 | spl103_171)), 14.88/2.58 inference(constrained_resolution,[],[f3018,f1484])). 14.88/2.58 tff(f1484,plain,( 14.88/2.58 $less(sF57,sF54) | ~spl103_84), 14.88/2.58 inference(avatar_component_clause,[],[f1482])). 14.88/2.58 tff(f3018,plain,( 14.88/2.58 ~$less(sF57,sF69) | spl103_171), 14.88/2.58 inference(avatar_component_clause,[],[f3017])). 14.88/2.58 tff(f5464,plain,( 14.88/2.58 spl103_154 | ~spl103_38 | spl103_95 | spl103_98 | ~spl103_229), 14.88/2.58 inference(avatar_split_clause,[],[f5405,f3889,f1750,f1701,f1223,f2642])). 14.88/2.58 tff(f5462,plain,( 14.88/2.58 spl103_86 | spl103_95 | spl103_98), 14.88/2.58 inference(avatar_split_clause,[],[f5395,f1750,f1701,f1492])). 14.88/2.58 tff(f1492,plain,( 14.88/2.58 spl103_86 <=> sK19 = sF67), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_86])])). 14.88/2.58 tff(f5390,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5389])). 14.88/2.58 tff(f5389,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5269,plain,( 14.88/2.58 mem(vertex,sF42,sF44) | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(backward_demodulation,[],[f2057,f5263])). 14.88/2.58 tff(f2057,plain,( 14.88/2.58 mem(vertex,sF55,sF44) | ~spl103_111), 14.88/2.58 inference(avatar_component_clause,[],[f2056])). 14.88/2.58 tff(f5387,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5386])). 14.88/2.58 tff(f5386,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5384,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5383])). 14.88/2.58 tff(f5383,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5381,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5380])). 14.88/2.58 tff(f5380,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5378,plain,( 14.88/2.58 ~spl103_27 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5377])). 14.88/2.58 tff(f5377,plain,( 14.88/2.58 $false | (~spl103_27 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5375,plain,( 14.88/2.58 ~spl103_17 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5374])). 14.88/2.58 tff(f5374,plain,( 14.88/2.58 $false | (~spl103_17 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5372,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | spl103_180 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5371])). 14.88/2.58 tff(f5371,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | spl103_180 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5370,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | spl103_180 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5369])). 14.88/2.58 tff(f5369,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | spl103_180 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5368,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5367])). 14.88/2.58 tff(f5367,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5366,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5365])). 14.88/2.58 tff(f5365,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5364,plain,( 14.88/2.58 ~spl103_46 | ~spl103_68 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5363])). 14.88/2.58 tff(f5363,plain,( 14.88/2.58 $false | (~spl103_46 | ~spl103_68 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5362,plain,( 14.88/2.58 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5361])). 14.88/2.58 tff(f5361,plain,( 14.88/2.58 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5360,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_297), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5359])). 14.88/2.58 tff(f5359,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_297)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5358,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5357])). 14.88/2.58 tff(f5357,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5356,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_307), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5355])). 14.88/2.58 tff(f5355,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_307)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5354,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_169 | ~spl103_254 | ~spl103_297), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5353])). 14.88/2.58 tff(f5353,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_169 | ~spl103_254 | ~spl103_297)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5352,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_149 | ~spl103_157 | ~spl103_169 | ~spl103_254 | ~spl103_297), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5351])). 14.88/2.58 tff(f5351,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_149 | ~spl103_157 | ~spl103_169 | ~spl103_254 | ~spl103_297)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5350,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_297), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5349])). 14.88/2.58 tff(f5349,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_297)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5347,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_297), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5346])). 14.88/2.58 tff(f5346,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_297)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5345,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_297), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5344])). 14.88/2.58 tff(f5344,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_297)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5343,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_291), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5342])). 14.88/2.58 tff(f5342,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254 | ~spl103_291)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5341,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_239 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5340])). 14.88/2.58 tff(f5340,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_239 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5339,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_187 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5338])). 14.88/2.58 tff(f5338,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_187 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5337,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_174 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5336])). 14.88/2.58 tff(f5336,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_174 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5335,plain,( 14.88/2.58 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5334])). 14.88/2.58 tff(f5334,plain,( 14.88/2.58 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5333,plain,( 14.88/2.58 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5332])). 14.88/2.58 tff(f5332,plain,( 14.88/2.58 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5331,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5330])). 14.88/2.58 tff(f5330,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5329,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5328])). 14.88/2.58 tff(f5328,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5327,plain,( 14.88/2.58 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5326])). 14.88/2.58 tff(f5326,plain,( 14.88/2.58 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5325,plain,( 14.88/2.58 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5324])). 14.88/2.58 tff(f5324,plain,( 14.88/2.58 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5323,plain,( 14.88/2.58 ~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5322])). 14.88/2.58 tff(f5322,plain,( 14.88/2.58 $false | (~spl103_46 | ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5320,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_174 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5319])). 14.88/2.58 tff(f5319,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_174 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5318,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_169 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5317])). 14.88/2.58 tff(f5317,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_169 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5316,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5315])). 14.88/2.58 tff(f5315,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5314,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_145 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5313])). 14.88/2.58 tff(f5313,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_145 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5312,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_143 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5311])). 14.88/2.58 tff(f5311,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_143 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5310,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5309])). 14.88/2.58 tff(f5309,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | ~spl103_114 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5308,plain,( 14.88/2.58 ~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254), 14.88/2.58 inference(avatar_contradiction_clause,[],[f5307])). 14.88/2.58 tff(f5307,plain,( 14.88/2.58 $false | (~spl103_73 | ~spl103_77 | ~spl103_111 | spl103_124 | ~spl103_157 | ~spl103_254)), 14.88/2.58 inference(global_subsumption,[],[f651,f5269])). 14.88/2.58 tff(f5247,plain,( 14.88/2.58 spl103_337 | ~spl103_92 | spl103_158), 14.88/2.58 inference(avatar_split_clause,[],[f4309,f2731,f1627,f5244])). 14.88/2.58 tff(f5244,plain,( 14.88/2.58 spl103_337 <=> mem(vertex,sK30(vertex,sF44),sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_337])])). 14.88/2.58 tff(f4309,plain,( 14.88/2.58 mem(vertex,sK30(vertex,sF44),sF77) | (~spl103_92 | spl103_158)), 14.88/2.58 inference(global_subsumption,[],[f2733,f4305])). 14.88/2.58 tff(f4305,plain,( 14.88/2.58 mem(vertex,sK30(vertex,sF44),sF77) | is_empty(vertex,sF44) | ~spl103_92), 14.88/2.58 inference(resolution,[],[f2952,f546])). 14.88/2.58 tff(f5226,plain,( 14.88/2.58 spl103_336 | ~spl103_19 | spl103_138), 14.88/2.58 inference(avatar_split_clause,[],[f4302,f2463,f1128,f5223])). 14.88/2.58 tff(f1128,plain,( 14.88/2.58 spl103_19 <=> subset(vertex,sF43,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_19])])). 14.88/2.58 tff(f2463,plain,( 14.88/2.58 spl103_138 <=> is_empty(vertex,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_138])])). 14.88/2.58 tff(f4302,plain,( 14.88/2.58 mem(vertex,choose(vertex,sF43),sF77) | (~spl103_19 | spl103_138)), 14.88/2.58 inference(global_subsumption,[],[f2465,f4298])). 14.88/2.58 tff(f4298,plain,( 14.88/2.58 mem(vertex,choose(vertex,sF43),sF77) | is_empty(vertex,sF43) | ~spl103_19), 14.88/2.58 inference(resolution,[],[f2951,f547])). 14.88/2.58 tff(f2951,plain,( 14.88/2.58 ( ! [X2 : uni] : (~mem(vertex,X2,sF43) | mem(vertex,X2,sF77)) ) | ~spl103_19), 14.88/2.58 inference(resolution,[],[f563,f1130])). 14.88/2.58 tff(f1130,plain,( 14.88/2.58 subset(vertex,sF43,sF77) | ~spl103_19), 14.88/2.58 inference(avatar_component_clause,[],[f1128])). 14.88/2.58 tff(f2465,plain,( 14.88/2.58 ~is_empty(vertex,sF43) | spl103_138), 14.88/2.58 inference(avatar_component_clause,[],[f2463])). 14.88/2.58 tff(f5221,plain,( 14.88/2.58 spl103_335 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_298), 14.88/2.58 inference(avatar_split_clause,[],[f4900,f4417,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5218])). 14.88/2.58 tff(f5218,plain,( 14.88/2.58 spl103_335 <=> remove(vertex,sF48,sF81) = remove(vertex,sF48,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_335])])). 14.88/2.58 tff(f4417,plain,( 14.88/2.58 spl103_298 <=> remove(vertex,sF50,sF81) = remove(vertex,sF50,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_298])])). 14.88/2.58 tff(f4900,plain,( 14.88/2.58 remove(vertex,sF48,sF81) = remove(vertex,sF48,sF43) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_298)), 14.88/2.58 inference(backward_demodulation,[],[f4419,f4872])). 14.88/2.58 tff(f4872,plain,( 14.88/2.58 sF48 = sF50 | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1255,f4815])). 14.88/2.58 tff(f4815,plain,( 14.88/2.58 t2tb2(sK11) = sF48 | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1245,f4813])). 14.88/2.58 tff(f4813,plain,( 14.88/2.58 sK11 = sK21 | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(global_subsumption,[],[f656,f658,f4810])). 14.88/2.58 tff(f4810,plain,( 14.88/2.58 ~mem(vertex,sF48,sF43) | ~mem(vertex,sF42,sF47) | sK11 = sK21 | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(forward_demodulation,[],[f4809,f1245])). 14.88/2.58 tff(f4809,plain,( 14.88/2.58 ~mem(vertex,sF42,sF47) | sK11 = sK21 | ~mem(vertex,t2tb2(sK21),sF43) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(forward_demodulation,[],[f4807,f1240])). 14.88/2.58 tff(f4807,plain,( 14.88/2.58 ~mem(vertex,sF42,t2tb(sF46)) | sK11 = sK21 | ~mem(vertex,t2tb2(sK21),sF43) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(superposition,[],[f3278,f1235])). 14.88/2.58 tff(f3278,plain,( 14.88/2.58 ( ! [X7 : vertex1] : (~mem(vertex,sF42,t2tb(g_succ1(X7))) | sK11 = X7 | ~mem(vertex,t2tb2(X7),sF43)) ) | (~spl103_36 | ~spl103_38 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(global_subsumption,[],[f649,f651,f3271])). 14.88/2.58 tff(f3271,plain,( 14.88/2.58 ( ! [X7 : vertex1] : (~mem(vertex,sF42,t2tb(g_succ1(X7))) | mem(vertex,sF42,sF43) | sK11 = X7 | mem(vertex,sF42,sF44) | ~mem(vertex,t2tb2(X7),sF43)) ) | (~spl103_36 | ~spl103_38 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(superposition,[],[f2681,f1215])). 14.88/2.58 tff(f2681,plain,( 14.88/2.58 ( ! [X28 : vertex1,X27 : vertex1] : (~mem(vertex,t2tb2(X28),t2tb(g_succ1(X27))) | mem(vertex,t2tb2(X28),sF43) | sK11 = X27 | mem(vertex,t2tb2(X28),sF44) | ~mem(vertex,t2tb2(X27),sF43)) ) | (~spl103_38 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f889,f2678])). 14.88/2.58 tff(f2678,plain,( 14.88/2.58 sF44 = sF58 | (~spl103_38 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1275,f2677])). 14.88/2.58 tff(f2677,plain,( 14.88/2.58 t2tb(sK14) = sF44 | (~spl103_38 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1225,f2675])). 14.88/2.58 tff(f2675,plain,( 14.88/2.58 sK14 = sK19 | ~spl103_87), 14.88/2.58 inference(global_subsumption,[],[f1498])). 14.88/2.58 tff(f1498,plain,( 14.88/2.58 sK14 = sK19 | ~spl103_87), 14.88/2.58 inference(avatar_component_clause,[],[f1496])). 14.88/2.58 tff(f4419,plain,( 14.88/2.58 remove(vertex,sF50,sF81) = remove(vertex,sF50,sF43) | ~spl103_298), 14.88/2.58 inference(avatar_component_clause,[],[f4417])). 14.88/2.58 tff(f5206,plain,( 14.88/2.58 spl103_334 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_243), 14.88/2.58 inference(avatar_split_clause,[],[f4896,f4041,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5203])). 14.88/2.58 tff(f5203,plain,( 14.88/2.58 spl103_334 <=> sF87 = add(vertex,sF48,sF88)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_334])])). 14.88/2.58 tff(f4041,plain,( 14.88/2.58 spl103_243 <=> sF87 = add(vertex,sF50,sF88)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_243])])). 14.88/2.58 tff(f4896,plain,( 14.88/2.58 sF87 = add(vertex,sF48,sF88) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_243)), 14.88/2.58 inference(backward_demodulation,[],[f4043,f4872])). 14.88/2.58 tff(f4043,plain,( 14.88/2.58 sF87 = add(vertex,sF50,sF88) | ~spl103_243), 14.88/2.58 inference(avatar_component_clause,[],[f4041])). 14.88/2.58 tff(f5196,plain,( 14.88/2.58 spl103_254 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_87 | ~spl103_159), 14.88/2.58 inference(avatar_split_clause,[],[f4930,f2736,f1496,f1421,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f4105])). 14.88/2.58 tff(f4930,plain,( 14.88/2.58 mem(vertex,sF42,sF70) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_87 | ~spl103_159)), 14.88/2.58 inference(global_subsumption,[],[f656,f4929])). 14.88/2.58 tff(f4929,plain,( 14.88/2.58 ~mem(vertex,sF42,sF47) | mem(vertex,sF42,sF70) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_76 | ~spl103_87 | ~spl103_159)), 14.88/2.58 inference(forward_demodulation,[],[f3058,f4837])). 14.88/2.58 tff(f4837,plain,( 14.88/2.58 sF47 = sF76 | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87)), 14.88/2.58 inference(forward_demodulation,[],[f4830,f1240])). 14.88/2.58 tff(f4830,plain,( 14.88/2.58 t2tb(sF46) = sF76 | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1330,f4829])). 14.88/2.58 tff(f4829,plain,( 14.88/2.58 sF46 = sF75 | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1325,f4814])). 14.88/2.58 tff(f4814,plain,( 14.88/2.58 g_succ1(sK11) = sF46 | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1235,f4813])). 14.88/2.58 tff(f3058,plain,( 14.88/2.58 ~mem(vertex,sF42,sF76) | mem(vertex,sF42,sF70) | (~spl103_36 | ~spl103_38 | ~spl103_48 | ~spl103_76 | ~spl103_87 | ~spl103_159)), 14.88/2.58 inference(global_subsumption,[],[f649,f651,f3053])). 14.88/2.58 tff(f3053,plain,( 14.88/2.58 ~mem(vertex,sF42,sF76) | mem(vertex,sF42,sF43) | mem(vertex,sF42,sF70) | mem(vertex,sF42,sF44) | (~spl103_36 | ~spl103_38 | ~spl103_48 | ~spl103_76 | ~spl103_87 | ~spl103_159)), 14.88/2.58 inference(superposition,[],[f2792,f1215])). 14.88/2.58 tff(f2792,plain,( 14.88/2.58 ( ! [X28 : vertex1] : (~mem(vertex,t2tb2(X28),sF76) | mem(vertex,t2tb2(X28),sF43) | mem(vertex,t2tb2(X28),sF70) | mem(vertex,t2tb2(X28),sF44)) ) | (~spl103_38 | ~spl103_48 | ~spl103_76 | ~spl103_87 | ~spl103_159)), 14.88/2.58 inference(subsumption_resolution,[],[f2680,f2790])). 14.88/2.58 tff(f2790,plain,( 14.88/2.58 mem(vertex,sF50,sF43) | (~spl103_76 | ~spl103_159)), 14.88/2.58 inference(global_subsumption,[],[f1423,f2787])). 14.88/2.58 tff(f2787,plain,( 14.88/2.58 mem(vertex,sF50,sF43) | ~sort1(vertex,sF50) | ~spl103_159), 14.88/2.58 inference(superposition,[],[f947,f2738])). 14.88/2.58 tff(f2680,plain,( 14.88/2.58 ( ! [X28 : vertex1] : (mem(vertex,t2tb2(X28),sF44) | mem(vertex,t2tb2(X28),sF43) | mem(vertex,t2tb2(X28),sF70) | ~mem(vertex,t2tb2(X28),sF76) | ~mem(vertex,sF50,sF43)) ) | (~spl103_38 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f888,f2678])). 14.88/2.58 tff(f5195,plain,( 14.88/2.58 ~spl103_333 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | spl103_231), 14.88/2.58 inference(avatar_split_clause,[],[f4895,f3899,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5192])). 14.88/2.58 tff(f5192,plain,( 14.88/2.58 spl103_333 <=> mem(vertex,sF48,sF88)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_333])])). 14.88/2.58 tff(f3899,plain,( 14.88/2.58 spl103_231 <=> mem(vertex,sF50,sF88)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_231])])). 14.88/2.58 tff(f4895,plain,( 14.88/2.58 ~mem(vertex,sF48,sF88) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | spl103_231)), 14.88/2.58 inference(backward_demodulation,[],[f3901,f4872])). 14.88/2.58 tff(f3901,plain,( 14.88/2.58 ~mem(vertex,sF50,sF88) | spl103_231), 14.88/2.58 inference(avatar_component_clause,[],[f3899])). 14.88/2.58 tff(f5190,plain,( 14.88/2.58 spl103_332 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_186), 14.88/2.58 inference(avatar_split_clause,[],[f4894,f3646,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5187])). 14.88/2.58 tff(f5187,plain,( 14.88/2.58 spl103_332 <=> sK11 = tb2t2(sF48)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_332])])). 14.88/2.58 tff(f3646,plain,( 14.88/2.58 spl103_186 <=> sK11 = tb2t2(sF50)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_186])])). 14.88/2.58 tff(f4894,plain,( 14.88/2.58 sK11 = tb2t2(sF48) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_186)), 14.88/2.58 inference(backward_demodulation,[],[f3648,f4872])). 14.88/2.58 tff(f3648,plain,( 14.88/2.58 sK11 = tb2t2(sF50) | ~spl103_186), 14.88/2.58 inference(avatar_component_clause,[],[f3646])). 14.88/2.58 tff(f5185,plain,( 14.88/2.58 ~spl103_331 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_257), 14.88/2.58 inference(avatar_split_clause,[],[f4857,f4123,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f5182])). 14.88/2.58 tff(f5182,plain,( 14.88/2.58 spl103_331 <=> mem(vertex,sF91,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_331])])). 14.88/2.58 tff(f4123,plain,( 14.88/2.58 spl103_257 <=> mem(vertex,sF91,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_257])])). 14.88/2.58 tff(f4857,plain,( 14.88/2.58 ~mem(vertex,sF91,sF47) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_257)), 14.88/2.58 inference(backward_demodulation,[],[f4124,f4837])). 14.88/2.58 tff(f4124,plain,( 14.88/2.58 ~mem(vertex,sF91,sF76) | spl103_257), 14.88/2.58 inference(avatar_component_clause,[],[f4123])). 14.88/2.58 tff(f5180,plain,( 14.88/2.58 ~spl103_330 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_255), 14.88/2.58 inference(avatar_split_clause,[],[f4856,f4112,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f5177])). 14.88/2.58 tff(f5177,plain,( 14.88/2.58 spl103_330 <=> mem(vertex,sF90,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_330])])). 14.88/2.58 tff(f4112,plain,( 14.88/2.58 spl103_255 <=> mem(vertex,sF90,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_255])])). 14.88/2.58 tff(f4856,plain,( 14.88/2.58 ~mem(vertex,sF90,sF47) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_255)), 14.88/2.58 inference(backward_demodulation,[],[f4113,f4837])). 14.88/2.58 tff(f4113,plain,( 14.88/2.58 ~mem(vertex,sF90,sF76) | spl103_255), 14.88/2.58 inference(avatar_component_clause,[],[f4112])). 14.88/2.58 tff(f5147,plain,( 14.88/2.58 ~spl103_329 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_251), 14.88/2.58 inference(avatar_split_clause,[],[f4855,f4091,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f5144])). 14.88/2.58 tff(f5144,plain,( 14.88/2.58 spl103_329 <=> mem(vertex,sF48,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_329])])). 14.88/2.58 tff(f4091,plain,( 14.88/2.58 spl103_251 <=> mem(vertex,sF48,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_251])])). 14.88/2.58 tff(f4855,plain,( 14.88/2.58 ~mem(vertex,sF48,sF47) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_251)), 14.88/2.58 inference(backward_demodulation,[],[f4092,f4837])). 14.88/2.58 tff(f4092,plain,( 14.88/2.58 ~mem(vertex,sF48,sF76) | spl103_251), 14.88/2.58 inference(avatar_component_clause,[],[f4091])). 14.88/2.58 tff(f5122,plain,( 14.88/2.58 ~spl103_328 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_247), 14.88/2.58 inference(avatar_split_clause,[],[f4853,f4071,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f5119])). 14.88/2.58 tff(f5119,plain,( 14.88/2.58 spl103_328 <=> mem(vertex,sF102,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_328])])). 14.88/2.58 tff(f4071,plain,( 14.88/2.58 spl103_247 <=> mem(vertex,sF102,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_247])])). 14.88/2.58 tff(f4853,plain,( 14.88/2.58 ~mem(vertex,sF102,sF47) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_247)), 14.88/2.58 inference(backward_demodulation,[],[f4072,f4837])). 14.88/2.58 tff(f4072,plain,( 14.88/2.58 ~mem(vertex,sF102,sF76) | spl103_247), 14.88/2.58 inference(avatar_component_clause,[],[f4071])). 14.88/2.58 tff(f5115,plain,( 14.88/2.58 ~spl103_327 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_245), 14.88/2.58 inference(avatar_split_clause,[],[f4852,f4058,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f5112])). 14.88/2.58 tff(f5112,plain,( 14.88/2.58 spl103_327 <=> mem(vertex,sF78,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_327])])). 14.88/2.58 tff(f4058,plain,( 14.88/2.58 spl103_245 <=> mem(vertex,sF78,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_245])])). 14.88/2.58 tff(f4852,plain,( 14.88/2.58 ~mem(vertex,sF78,sF47) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | spl103_245)), 14.88/2.58 inference(backward_demodulation,[],[f4059,f4837])). 14.88/2.58 tff(f4059,plain,( 14.88/2.58 ~mem(vertex,sF78,sF76) | spl103_245), 14.88/2.58 inference(avatar_component_clause,[],[f4058])). 14.88/2.58 tff(f5109,plain,( 14.88/2.58 spl103_326 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_147), 14.88/2.58 inference(avatar_split_clause,[],[f4879,f2521,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5106])). 14.88/2.58 tff(f4879,plain,( 14.88/2.58 sF85 = get(int,vertex,sF84,sF48) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_147)), 14.88/2.58 inference(backward_demodulation,[],[f2523,f4872])). 14.88/2.58 tff(f5104,plain,( 14.88/2.58 spl103_325 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | ~spl103_153), 14.88/2.58 inference(avatar_split_clause,[],[f4842,f2611,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f5101])). 14.88/2.58 tff(f5101,plain,( 14.88/2.58 spl103_325 <=> mem(vertex,sF74,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_325])])). 14.88/2.58 tff(f2611,plain,( 14.88/2.58 spl103_153 <=> mem(vertex,sF74,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_153])])). 14.88/2.58 tff(f4842,plain,( 14.88/2.58 mem(vertex,sF74,sF47) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | ~spl103_153)), 14.88/2.58 inference(backward_demodulation,[],[f2613,f4837])). 14.88/2.58 tff(f2613,plain,( 14.88/2.58 mem(vertex,sF74,sF76) | ~spl103_153), 14.88/2.58 inference(avatar_component_clause,[],[f2611])). 14.88/2.58 tff(f5099,plain,( 14.88/2.58 spl103_324 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_144), 14.88/2.58 inference(avatar_split_clause,[],[f4878,f2506,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5096])). 14.88/2.58 tff(f5096,plain,( 14.88/2.58 spl103_324 <=> sF60 = get(int,vertex,sF59,sF48)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_324])])). 14.88/2.58 tff(f4878,plain,( 14.88/2.58 sF60 = get(int,vertex,sF59,sF48) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_144)), 14.88/2.58 inference(backward_demodulation,[],[f2508,f4872])). 14.88/2.58 tff(f5094,plain,( 14.88/2.58 spl103_323 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_142), 14.88/2.58 inference(avatar_split_clause,[],[f4877,f2496,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5091])). 14.88/2.58 tff(f4877,plain,( 14.88/2.58 sF51 = get(int,vertex,sF49,sF48) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_142)), 14.88/2.58 inference(backward_demodulation,[],[f2498,f4872])). 14.88/2.58 tff(f5089,plain,( 14.88/2.58 spl103_322 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | ~spl103_152), 14.88/2.58 inference(avatar_split_clause,[],[f4841,f2604,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f5086])). 14.88/2.58 tff(f5086,plain,( 14.88/2.58 spl103_322 <=> mem(vertex,sF73,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_322])])). 14.88/2.58 tff(f2604,plain,( 14.88/2.58 spl103_152 <=> mem(vertex,sF73,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_152])])). 14.88/2.58 tff(f4841,plain,( 14.88/2.58 mem(vertex,sF73,sF47) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | ~spl103_152)), 14.88/2.58 inference(backward_demodulation,[],[f2606,f4837])). 14.88/2.58 tff(f2606,plain,( 14.88/2.58 mem(vertex,sF73,sF76) | ~spl103_152), 14.88/2.58 inference(avatar_component_clause,[],[f2604])). 14.88/2.58 tff(f5068,plain,( 14.88/2.58 spl103_321 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | ~spl103_151), 14.88/2.58 inference(avatar_split_clause,[],[f4840,f2598,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f5065])). 14.88/2.58 tff(f5065,plain,( 14.88/2.58 spl103_321 <=> mem(vertex,sF55,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_321])])). 14.88/2.58 tff(f2598,plain,( 14.88/2.58 spl103_151 <=> mem(vertex,sF55,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_151])])). 14.88/2.58 tff(f4840,plain,( 14.88/2.58 mem(vertex,sF55,sF47) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87 | ~spl103_151)), 14.88/2.58 inference(backward_demodulation,[],[f2600,f4837])). 14.88/2.58 tff(f2600,plain,( 14.88/2.58 mem(vertex,sF55,sF76) | ~spl103_151), 14.88/2.58 inference(avatar_component_clause,[],[f2598])). 14.88/2.58 tff(f5063,plain,( 14.88/2.58 spl103_320 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_159), 14.88/2.58 inference(avatar_split_clause,[],[f4880,f2736,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5060])). 14.88/2.58 tff(f4880,plain,( 14.88/2.58 sF43 = add(vertex,sF48,sF81) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_159)), 14.88/2.58 inference(backward_demodulation,[],[f2738,f4872])). 14.88/2.58 tff(f5058,plain,( 14.88/2.58 spl103_319 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_131), 14.88/2.58 inference(avatar_split_clause,[],[f4876,f2192,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f5055])). 14.88/2.58 tff(f4876,plain,( 14.88/2.58 sF88 = remove(vertex,sF48,sF87) | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87 | ~spl103_131)), 14.88/2.58 inference(backward_demodulation,[],[f2194,f4872])). 14.88/2.58 tff(f4977,plain,( 14.88/2.58 spl103_266 | ~spl103_21 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f4873,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f1138,f4171])). 14.88/2.58 tff(f4873,plain,( 14.88/2.58 mem(vertex,sF48,sF87) | (~spl103_21 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1140,f4872])). 14.88/2.58 tff(f4976,plain,( 14.88/2.58 spl103_318 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f4815,f1496,f1273,f1243,f1238,f1233,f1223,f1213,f4973])). 14.88/2.58 tff(f4971,plain,( 14.88/2.58 spl103_123 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f4813,f1496,f1273,f1243,f1238,f1233,f1223,f1213,f2144])). 14.88/2.58 tff(f4970,plain,( 14.88/2.58 spl103_317 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f4814,f1496,f1273,f1243,f1238,f1233,f1223,f1213,f4967])). 14.88/2.58 tff(f4965,plain,( 14.88/2.58 spl103_316 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_44 | ~spl103_48 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f4872,f1496,f1273,f1253,f1243,f1238,f1233,f1223,f1213,f4962])). 14.88/2.58 tff(f4960,plain,( 14.88/2.58 spl103_315 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_59 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f4837,f1496,f1328,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f4957])). 14.88/2.58 tff(f4955,plain,( 14.88/2.58 spl103_314 | ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_58 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f4829,f1496,f1323,f1273,f1243,f1238,f1233,f1223,f1213,f4952])). 14.88/2.58 tff(f4812,plain,( 14.88/2.58 ~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87 | spl103_123), 14.88/2.58 inference(avatar_contradiction_clause,[],[f4811])). 14.88/2.58 tff(f4811,plain,( 14.88/2.58 $false | (~spl103_36 | ~spl103_38 | ~spl103_40 | ~spl103_41 | ~spl103_42 | ~spl103_48 | ~spl103_87 | spl103_123)), 14.88/2.58 inference(global_subsumption,[],[f656,f658,f2146,f4810])). 14.88/2.58 tff(f4806,plain,( 14.88/2.58 spl103_313 | ~spl103_19 | spl103_138), 14.88/2.58 inference(avatar_split_clause,[],[f4301,f2463,f1128,f4803])). 14.88/2.58 tff(f4803,plain,( 14.88/2.58 spl103_313 <=> mem(vertex,sK30(vertex,sF43),sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_313])])). 14.88/2.58 tff(f4301,plain,( 14.88/2.58 mem(vertex,sK30(vertex,sF43),sF77) | (~spl103_19 | spl103_138)), 14.88/2.58 inference(global_subsumption,[],[f2465,f4297])). 14.88/2.58 tff(f4297,plain,( 14.88/2.58 mem(vertex,sK30(vertex,sF43),sF77) | is_empty(vertex,sF43) | ~spl103_19), 14.88/2.58 inference(resolution,[],[f2951,f546])). 14.88/2.58 tff(f4683,plain,( 14.88/2.58 spl103_311 | ~spl103_312 | ~spl103_29 | ~spl103_64 | ~spl103_70), 14.88/2.58 inference(avatar_split_clause,[],[f4026,f1383,f1353,f1178,f4680,f4676])). 14.88/2.58 tff(f4676,plain,( 14.88/2.58 spl103_311 <=> sF79 = sF85), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_311])])). 14.88/2.58 tff(f4680,plain,( 14.88/2.58 spl103_312 <=> 0 = sF86), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_312])])). 14.88/2.58 tff(f1178,plain,( 14.88/2.58 spl103_29 <=> 0 = tb2t3(sF79)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_29])])). 14.88/2.58 tff(f1353,plain,( 14.88/2.58 spl103_64 <=> tb2t3(sF85) = sF86), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_64])])). 14.88/2.58 tff(f1383,plain,( 14.88/2.58 spl103_70 <=> t2tb3(0) = sF96), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_70])])). 14.88/2.58 tff(f4026,plain,( 14.88/2.58 0 != sF86 | sF79 = sF85 | (~spl103_29 | ~spl103_64 | ~spl103_70)), 14.88/2.58 inference(superposition,[],[f1881,f1355])). 14.88/2.58 tff(f1355,plain,( 14.88/2.58 tb2t3(sF85) = sF86 | ~spl103_64), 14.88/2.58 inference(avatar_component_clause,[],[f1353])). 14.88/2.58 tff(f1881,plain,( 14.88/2.58 ( ! [X1 : uni] : (0 != tb2t3(X1) | sF79 = X1) ) | (~spl103_29 | ~spl103_70)), 14.88/2.58 inference(forward_demodulation,[],[f1873,f1875])). 14.88/2.58 tff(f1875,plain,( 14.88/2.58 sF79 = sF96 | (~spl103_29 | ~spl103_70)), 14.88/2.58 inference(backward_demodulation,[],[f1385,f1869])). 14.88/2.58 tff(f1869,plain,( 14.88/2.58 t2tb3(0) = sF79 | ~spl103_29), 14.88/2.58 inference(superposition,[],[f524,f1180])). 14.88/2.58 tff(f1180,plain,( 14.88/2.58 0 = tb2t3(sF79) | ~spl103_29), 14.88/2.58 inference(avatar_component_clause,[],[f1178])). 14.88/2.58 tff(f524,plain,( 14.88/2.58 ( ! [X0 : uni] : (t2tb3(tb2t3(X0)) = X0) )), 14.88/2.58 inference(cnf_transformation,[],[f101])). 14.88/2.58 tff(f101,plain,( 14.88/2.58 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 14.88/2.58 inference(rectify,[],[f7])). 14.88/2.58 tff(f7,axiom,( 14.88/2.58 ! [X12 : uni] : t2tb3(tb2t3(X12)) = X12), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3)). 14.88/2.58 tff(f1385,plain,( 14.88/2.58 t2tb3(0) = sF96 | ~spl103_70), 14.88/2.58 inference(avatar_component_clause,[],[f1383])). 14.88/2.58 tff(f1873,plain,( 14.88/2.58 ( ! [X1 : uni] : (sF96 = X1 | 0 != tb2t3(X1)) ) | ~spl103_70), 14.88/2.58 inference(constrained_superposition,[],[f524,f1385])). 14.88/2.58 tff(f4625,plain,( 14.88/2.58 spl103_309 | ~spl103_310 | ~spl103_29 | ~spl103_50 | ~spl103_70), 14.88/2.58 inference(avatar_split_clause,[],[f4023,f1383,f1283,f1178,f4622,f4618])). 14.88/2.58 tff(f4618,plain,( 14.88/2.58 spl103_309 <=> sF60 = sF79), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_309])])). 14.88/2.58 tff(f4622,plain,( 14.88/2.58 spl103_310 <=> 0 = sF61), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_310])])). 14.88/2.58 tff(f4023,plain,( 14.88/2.58 0 != sF61 | sF60 = sF79 | (~spl103_29 | ~spl103_50 | ~spl103_70)), 14.88/2.58 inference(superposition,[],[f1881,f1285])). 14.88/2.58 tff(f4608,plain,( 14.88/2.58 spl103_308 | ~spl103_131), 14.88/2.58 inference(avatar_split_clause,[],[f3097,f2192,f4605])). 14.88/2.58 tff(f4605,plain,( 14.88/2.58 spl103_308 <=> cardinal1(vertex,sF87) = $sum(1,cardinal1(vertex,sF88))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_308])])). 14.88/2.58 tff(f3097,plain,( 14.88/2.58 cardinal1(vertex,sF87) = $sum(1,cardinal1(vertex,sF88)) | ~spl103_131), 14.88/2.58 inference(global_subsumption,[],[f914,f3090])). 14.88/2.58 tff(f3090,plain,( 14.88/2.58 cardinal1(vertex,sF87) = $sum(1,cardinal1(vertex,sF88)) | ~mem(vertex,sF50,sF87) | ~spl103_131), 14.88/2.58 inference(superposition,[],[f610,f2194])). 14.88/2.58 tff(f610,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))) | ~mem(X0,X1,X2)) )), 14.88/2.58 inference(cnf_transformation,[],[f204])). 14.88/2.58 tff(f204,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : (cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))) | ~mem(X0,X1,X2))), 14.88/2.58 inference(ennf_transformation,[],[f147])). 14.88/2.58 tff(f147,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) => cardinal1(X0,X2) = $sum(1,cardinal1(X0,remove(X0,X1,X2))))), 14.88/2.58 inference(rectify,[],[f67])). 14.88/2.58 tff(f67,axiom,( 14.88/2.58 ! [X0 : ty,X7 : uni,X1 : uni] : (mem(X0,X7,X1) => cardinal1(X0,X1) = $sum(1,cardinal1(X0,remove(X0,X7,X1))))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_remove)). 14.88/2.58 tff(f914,plain,( 14.88/2.58 mem(vertex,sF50,sF87)), 14.88/2.58 inference(definition_folding,[],[f292,f909,f660])). 14.88/2.58 tff(f292,plain,( 14.88/2.58 mem(vertex,t2tb2(sK11),t2tb(sK6))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f4603,plain,( 14.88/2.58 spl103_307 | ~spl103_157 | ~spl103_239), 14.88/2.58 inference(avatar_split_clause,[],[f4011,f3996,f2726,f4600])). 14.88/2.58 tff(f4600,plain,( 14.88/2.58 spl103_307 <=> sF45 = remove(vertex,sF55,sF45)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_307])])). 14.88/2.58 tff(f3996,plain,( 14.88/2.58 spl103_239 <=> sF70 = add(vertex,sF55,sF45)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_239])])). 14.88/2.58 tff(f4011,plain,( 14.88/2.58 sF45 = remove(vertex,sF55,sF45) | (~spl103_157 | ~spl103_239)), 14.88/2.58 inference(forward_demodulation,[],[f4008,f2728])). 14.88/2.58 tff(f4008,plain,( 14.88/2.58 remove(vertex,sF55,sF70) = remove(vertex,sF55,sF45) | ~spl103_239), 14.88/2.58 inference(superposition,[],[f562,f3998])). 14.88/2.58 tff(f3998,plain,( 14.88/2.58 sF70 = add(vertex,sF55,sF45) | ~spl103_239), 14.88/2.58 inference(avatar_component_clause,[],[f3996])). 14.88/2.58 tff(f4598,plain,( 14.88/2.58 spl103_306 | ~spl103_132), 14.88/2.58 inference(avatar_split_clause,[],[f2939,f2197,f4595])). 14.88/2.58 tff(f4595,plain,( 14.88/2.58 spl103_306 <=> remove(vertex,sF78,sF99) = remove(vertex,sF78,sF100)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_306])])). 14.88/2.58 tff(f2197,plain,( 14.88/2.58 spl103_132 <=> add(vertex,sF78,sF99) = sF100), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_132])])). 14.88/2.58 tff(f2939,plain,( 14.88/2.58 remove(vertex,sF78,sF99) = remove(vertex,sF78,sF100) | ~spl103_132), 14.88/2.58 inference(superposition,[],[f562,f2199])). 14.88/2.58 tff(f2199,plain,( 14.88/2.58 add(vertex,sF78,sF99) = sF100 | ~spl103_132), 14.88/2.58 inference(avatar_component_clause,[],[f2197])). 14.88/2.58 tff(f4562,plain,( 14.88/2.58 ~spl103_304 | spl103_305 | ~spl103_127 | ~spl103_199), 14.88/2.58 inference(avatar_split_clause,[],[f3935,f3722,f2172,f4559,f4555])). 14.88/2.58 tff(f4555,plain,( 14.88/2.58 spl103_304 <=> 0 = sF52), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_304])])). 14.88/2.58 tff(f4559,plain,( 14.88/2.58 spl103_305 <=> sF51 = sF79), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_305])])). 14.88/2.58 tff(f2172,plain,( 14.88/2.58 spl103_127 <=> t2tb3(0) = sF79), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_127])])). 14.88/2.58 tff(f3722,plain,( 14.88/2.58 spl103_199 <=> sF51 = t2tb3(sF52)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_199])])). 14.88/2.58 tff(f3935,plain,( 14.88/2.58 sF51 = sF79 | 0 != sF52 | (~spl103_127 | ~spl103_199)), 14.88/2.58 inference(constrained_superposition,[],[f3724,f2174])). 14.88/2.58 tff(f2174,plain,( 14.88/2.58 t2tb3(0) = sF79 | ~spl103_127), 14.88/2.58 inference(avatar_component_clause,[],[f2172])). 14.88/2.58 tff(f3724,plain,( 14.88/2.58 sF51 = t2tb3(sF52) | ~spl103_199), 14.88/2.58 inference(avatar_component_clause,[],[f3722])). 14.88/2.58 tff(f4517,plain,( 14.88/2.58 ~spl103_302 | ~spl103_303 | ~spl103_47 | ~spl103_51 | ~spl103_78 | ~spl103_98 | ~spl103_134 | ~spl103_143 | spl103_148), 14.88/2.58 inference(avatar_split_clause,[],[f3011,f2528,f2501,f2211,f1750,f1432,f1288,f1268,f4514,f4510])). 14.88/2.58 tff(f4510,plain,( 14.88/2.58 spl103_302 <=> 0 = sF69), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_302])])). 14.88/2.58 tff(f1288,plain,( 14.88/2.58 spl103_51 <=> t2tb3(sF62) = sF63), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_51])])). 14.88/2.58 tff(f1432,plain,( 14.88/2.58 spl103_78 <=> sort1(int,sF63)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_78])])). 14.88/2.58 tff(f2211,plain,( 14.88/2.58 spl103_134 <=> sF49 = set1(int,vertex,sF59,sF55,sF63)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_134])])). 14.88/2.58 tff(f2528,plain,( 14.88/2.58 spl103_148 <=> $less(sF86,0)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_148])])). 14.88/2.58 tff(f3011,plain,( 14.88/2.58 sF57 != sF86 | 0 != sF69 | (~spl103_47 | ~spl103_51 | ~spl103_78 | ~spl103_98 | ~spl103_134 | ~spl103_143 | spl103_148)), 14.88/2.58 inference(backward_demodulation,[],[f2536,f3008])). 14.88/2.58 tff(f3008,plain,( 14.88/2.58 sF57 = sF62 | (~spl103_47 | ~spl103_51 | ~spl103_78 | ~spl103_134 | ~spl103_143)), 14.88/2.58 inference(forward_demodulation,[],[f3005,f1270])). 14.88/2.58 tff(f3005,plain,( 14.88/2.58 tb2t3(sF56) = sF62 | (~spl103_51 | ~spl103_78 | ~spl103_134 | ~spl103_143)), 14.88/2.58 inference(backward_demodulation,[],[f1898,f3002])). 14.88/2.58 tff(f3002,plain,( 14.88/2.58 sF56 = sF63 | (~spl103_78 | ~spl103_134 | ~spl103_143)), 14.88/2.58 inference(global_subsumption,[],[f1434,f3001])). 14.88/2.58 tff(f3001,plain,( 14.88/2.58 sF56 = sF63 | ~sort1(int,sF63) | (~spl103_134 | ~spl103_143)), 14.88/2.58 inference(forward_demodulation,[],[f2998,f2503])). 14.88/2.58 tff(f2998,plain,( 14.88/2.58 get(int,vertex,sF49,sF55) = sF63 | ~sort1(int,sF63) | ~spl103_134), 14.88/2.58 inference(superposition,[],[f646,f2213])). 14.88/2.58 tff(f2213,plain,( 14.88/2.58 sF49 = set1(int,vertex,sF59,sF55,sF63) | ~spl103_134), 14.88/2.58 inference(avatar_component_clause,[],[f2211])). 14.88/2.58 tff(f646,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X4,X5),X4) = X5 | ~sort1(X1,X5)) )), 14.88/2.58 inference(equality_resolution,[],[f633])). 14.88/2.58 tff(f633,plain,( 14.88/2.58 ( ! [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)) )), 14.88/2.58 inference(cnf_transformation,[],[f218])). 14.88/2.58 tff(f218,plain,( 14.88/2.58 ! [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))), 14.88/2.58 inference(flattening,[],[f217])). 14.88/2.58 tff(f217,plain,( 14.88/2.58 ! [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))), 14.88/2.58 inference(ennf_transformation,[],[f166])). 14.88/2.58 tff(f166,plain,( 14.88/2.58 ! [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))), 14.88/2.58 inference(rectify,[],[f32])). 14.88/2.58 tff(f32,axiom,( 14.88/2.58 ! [X0 : ty,X15 : ty,X9 : uni,X16 : uni,X17 : uni,X18 : uni] : (sort1(X15,X18) => (X16 = X17 => get(X15,X0,set1(X15,X0,X9,X16,X18),X17) = X18))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq)). 14.88/2.58 tff(f1434,plain,( 14.88/2.58 sort1(int,sF63) | ~spl103_78), 14.88/2.58 inference(avatar_component_clause,[],[f1432])). 14.88/2.58 tff(f1898,plain,( 14.88/2.58 sF62 = tb2t3(sF63) | ~spl103_51), 14.88/2.58 inference(superposition,[],[f526,f1290])). 14.88/2.58 tff(f1290,plain,( 14.88/2.58 t2tb3(sF62) = sF63 | ~spl103_51), 14.88/2.58 inference(avatar_component_clause,[],[f1288])). 14.88/2.58 tff(f526,plain,( 14.88/2.58 ( ! [X0 : $int] : (tb2t3(t2tb3(X0)) = X0) )), 14.88/2.58 inference(cnf_transformation,[],[f103])). 14.88/2.58 tff(f103,plain,( 14.88/2.58 ! [X0 : $int] : tb2t3(t2tb3(X0)) = X0), 14.88/2.58 inference(rectify,[],[f43])). 14.88/2.58 tff(f43,axiom,( 14.88/2.58 ! [X19 : $int] : tb2t3(t2tb3(X19)) = X19), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL3)). 14.88/2.58 tff(f2536,plain,( 14.88/2.58 sF62 != sF86 | 0 != sF69 | (~spl103_98 | spl103_148)), 14.88/2.58 inference(constrained_resolution,[],[f2530,f1752])). 14.88/2.58 tff(f1752,plain,( 14.88/2.58 $less(sF62,sF69) | ~spl103_98), 14.88/2.58 inference(avatar_component_clause,[],[f1750])). 14.88/2.58 tff(f2530,plain,( 14.88/2.58 ~$less(sF86,0) | spl103_148), 14.88/2.58 inference(avatar_component_clause,[],[f2528])). 14.88/2.58 tff(f4438,plain,( 14.88/2.58 spl103_301 | ~spl103_24 | ~spl103_228), 14.88/2.58 inference(avatar_split_clause,[],[f4350,f3872,f1153,f4435])). 14.88/2.58 tff(f4435,plain,( 14.88/2.58 spl103_301 <=> subset(vertex,sF88,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_301])])). 14.88/2.58 tff(f3872,plain,( 14.88/2.58 spl103_228 <=> subset(vertex,sF88,sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_228])])). 14.88/2.58 tff(f4350,plain,( 14.88/2.58 subset(vertex,sF88,sF77) | (~spl103_24 | ~spl103_228)), 14.88/2.58 inference(resolution,[],[f2962,f3874])). 14.88/2.58 tff(f3874,plain,( 14.88/2.58 subset(vertex,sF88,sF87) | ~spl103_228), 14.88/2.58 inference(avatar_component_clause,[],[f3872])). 14.88/2.58 tff(f2962,plain,( 14.88/2.58 ( ! [X5 : uni] : (~subset(vertex,X5,sF87) | subset(vertex,X5,sF77)) ) | ~spl103_24), 14.88/2.58 inference(resolution,[],[f621,f1155])). 14.88/2.58 tff(f621,plain,( 14.88/2.58 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (~subset(X0,X2,X3) | subset(X0,X1,X3) | ~subset(X0,X1,X2)) )), 14.88/2.58 inference(cnf_transformation,[],[f214])). 14.88/2.58 tff(f214,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (subset(X0,X1,X3) | ~subset(X0,X2,X3) | ~subset(X0,X1,X2))), 14.88/2.58 inference(flattening,[],[f213])). 14.88/2.58 tff(f213,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((subset(X0,X1,X3) | ~subset(X0,X2,X3)) | ~subset(X0,X1,X2))), 14.88/2.58 inference(ennf_transformation,[],[f156])). 14.88/2.58 tff(f156,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (subset(X0,X1,X2) => (subset(X0,X2,X3) => subset(X0,X1,X3)))), 14.88/2.58 inference(rectify,[],[f3])). 14.88/2.58 tff(f3,axiom,( 14.88/2.58 ! [X0 : ty,X4 : uni,X5 : uni,X6 : uni] : (subset(X0,X4,X5) => (subset(X0,X5,X6) => subset(X0,X4,X6)))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_trans)). 14.88/2.58 tff(f4431,plain,( 14.88/2.58 spl103_300 | ~spl103_157), 14.88/2.58 inference(avatar_split_clause,[],[f3098,f2726,f4428])). 14.88/2.58 tff(f4428,plain,( 14.88/2.58 spl103_300 <=> cardinal1(vertex,sF70) = $sum(1,cardinal1(vertex,sF45))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_300])])). 14.88/2.58 tff(f3098,plain,( 14.88/2.58 cardinal1(vertex,sF70) = $sum(1,cardinal1(vertex,sF45)) | ~spl103_157), 14.88/2.58 inference(global_subsumption,[],[f874,f3091])). 14.88/2.58 tff(f3091,plain,( 14.88/2.58 cardinal1(vertex,sF70) = $sum(1,cardinal1(vertex,sF45)) | ~mem(vertex,sF55,sF70) | ~spl103_157), 14.88/2.58 inference(superposition,[],[f610,f2728])). 14.88/2.58 tff(f874,plain,( 14.88/2.58 mem(vertex,sF55,sF70)), 14.88/2.58 inference(definition_folding,[],[f315,f873,f665])). 14.88/2.58 tff(f315,plain,( 14.88/2.58 mem(vertex,t2tb2(sK18),t2tb(sK13))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f4425,plain,( 14.88/2.58 spl103_299 | ~spl103_159 | spl103_160), 14.88/2.58 inference(avatar_split_clause,[],[f3068,f2759,f2736,f4422])). 14.88/2.58 tff(f4422,plain,( 14.88/2.58 spl103_299 <=> $sum(1,cardinal1(vertex,sF81)) = cardinal1(vertex,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_299])])). 14.88/2.58 tff(f2759,plain,( 14.88/2.58 spl103_160 <=> mem(vertex,sF50,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_160])])). 14.88/2.58 tff(f3068,plain,( 14.88/2.58 $sum(1,cardinal1(vertex,sF81)) = cardinal1(vertex,sF43) | (~spl103_159 | spl103_160)), 14.88/2.58 inference(global_subsumption,[],[f2761,f3061])). 14.88/2.58 tff(f3061,plain,( 14.88/2.58 $sum(1,cardinal1(vertex,sF81)) = cardinal1(vertex,sF43) | mem(vertex,sF50,sF81) | ~spl103_159), 14.88/2.58 inference(superposition,[],[f578,f2738])). 14.88/2.58 tff(f2761,plain,( 14.88/2.58 ~mem(vertex,sF50,sF81) | spl103_160), 14.88/2.58 inference(avatar_component_clause,[],[f2759])). 14.88/2.58 tff(f4420,plain,( 14.88/2.58 spl103_298 | ~spl103_159), 14.88/2.58 inference(avatar_split_clause,[],[f2941,f2736,f4417])). 14.88/2.58 tff(f2941,plain,( 14.88/2.58 remove(vertex,sF50,sF81) = remove(vertex,sF50,sF43) | ~spl103_159), 14.88/2.58 inference(superposition,[],[f562,f2738])). 14.88/2.58 tff(f4414,plain,( 14.88/2.58 spl103_297 | ~spl103_114), 14.88/2.58 inference(avatar_split_clause,[],[f2940,f2077,f4411])). 14.88/2.58 tff(f4411,plain,( 14.88/2.58 spl103_297 <=> remove(vertex,sF55,sF44) = remove(vertex,sF55,sF66)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_297])])). 14.88/2.58 tff(f2940,plain,( 14.88/2.58 remove(vertex,sF55,sF44) = remove(vertex,sF55,sF66) | ~spl103_114), 14.88/2.58 inference(superposition,[],[f562,f2079])). 14.88/2.58 tff(f4409,plain,( 14.88/2.58 spl103_296 | ~spl103_67), 14.88/2.58 inference(avatar_split_clause,[],[f2903,f1368,f4406])). 14.88/2.58 tff(f4406,plain,( 14.88/2.58 spl103_296 <=> path1(sK0,sK26,tb2t3(get(int,vertex,sF84,sF91)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_296])])). 14.88/2.58 tff(f2903,plain,( 14.88/2.58 path1(sK0,sK26,tb2t3(get(int,vertex,sF84,sF91))) | ~spl103_67), 14.88/2.58 inference(global_subsumption,[],[f1029,f2897])). 14.88/2.58 tff(f2897,plain,( 14.88/2.58 path1(sK0,sK26,tb2t3(get(int,vertex,sF84,sF91))) | ~mem(vertex,sF91,sF87) | ~spl103_67), 14.88/2.58 inference(superposition,[],[f922,f1370])). 14.88/2.58 tff(f1029,plain,( 14.88/2.58 mem(vertex,sF91,sF87)), 14.88/2.58 inference(global_subsumption,[],[f636,f918])). 14.88/2.58 tff(f918,plain,( 14.88/2.58 sK9 = sK16 | mem(vertex,sF91,sF87)), 14.88/2.58 inference(definition_folding,[],[f637,f909,f917])). 14.88/2.58 tff(f917,plain,( 14.88/2.58 t2tb2(sK26) = sF91), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f637,plain,( 14.88/2.58 sK9 = sK16 | mem(vertex,t2tb2(sK26),t2tb(sK6))), 14.88/2.58 inference(definition_unfolding,[],[f289,f312])). 14.88/2.58 tff(f312,plain,( 14.88/2.58 true1 = sK16), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f289,plain,( 14.88/2.58 true1 = sK9 | mem(vertex,t2tb2(sK26),t2tb(sK6))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f636,plain,( 14.88/2.58 sK9 != sK16), 14.88/2.58 inference(definition_unfolding,[],[f290,f312])). 14.88/2.58 tff(f290,plain,( 14.88/2.58 true1 != sK9), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f4404,plain,( 14.88/2.58 spl103_295 | ~spl103_24 | ~spl103_32), 14.88/2.58 inference(avatar_split_clause,[],[f4318,f1193,f1153,f4401])). 14.88/2.58 tff(f4401,plain,( 14.88/2.58 spl103_295 <=> mem(vertex,sF91,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_295])])). 14.88/2.58 tff(f1193,plain,( 14.88/2.58 spl103_32 <=> mem(vertex,sF91,sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_32])])). 14.88/2.58 tff(f4318,plain,( 14.88/2.58 mem(vertex,sF91,sF77) | (~spl103_24 | ~spl103_32)), 14.88/2.58 inference(resolution,[],[f2954,f1195])). 14.88/2.58 tff(f1195,plain,( 14.88/2.58 mem(vertex,sF91,sF87) | ~spl103_32), 14.88/2.58 inference(avatar_component_clause,[],[f1193])). 14.88/2.58 tff(f4399,plain,( 14.88/2.58 spl103_294 | ~spl103_66), 14.88/2.58 inference(avatar_split_clause,[],[f2902,f1363,f4396])). 14.88/2.58 tff(f2902,plain,( 14.88/2.58 path1(sK0,sK25,tb2t3(get(int,vertex,sF84,sF90))) | ~spl103_66), 14.88/2.58 inference(global_subsumption,[],[f916,f2896])). 14.88/2.58 tff(f2896,plain,( 14.88/2.58 path1(sK0,sK25,tb2t3(get(int,vertex,sF84,sF90))) | ~mem(vertex,sF90,sF87) | ~spl103_66), 14.88/2.58 inference(superposition,[],[f922,f1365])). 14.88/2.58 tff(f916,plain,( 14.88/2.58 mem(vertex,sF90,sF87)), 14.88/2.58 inference(definition_folding,[],[f291,f909,f915])). 14.88/2.58 tff(f915,plain,( 14.88/2.58 t2tb2(sK25) = sF90), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f291,plain,( 14.88/2.58 mem(vertex,t2tb2(sK25),t2tb(sK6))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f4394,plain,( 14.88/2.58 spl103_293 | ~spl103_42), 14.88/2.58 inference(avatar_split_clause,[],[f2883,f1243,f4391])). 14.88/2.58 tff(f4391,plain,( 14.88/2.58 spl103_293 <=> shortest_path1(sK0,sK21,tb2t3(get(int,vertex,sF59,sF48)))), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_293])])). 14.88/2.58 tff(f2883,plain,( 14.88/2.58 shortest_path1(sK0,sK21,tb2t3(get(int,vertex,sF59,sF48))) | ~spl103_42), 14.88/2.58 inference(global_subsumption,[],[f658,f2872])). 14.88/2.58 tff(f2872,plain,( 14.88/2.58 shortest_path1(sK0,sK21,tb2t3(get(int,vertex,sF59,sF48))) | ~mem(vertex,sF48,sF43) | ~spl103_42), 14.88/2.58 inference(superposition,[],[f890,f1245])). 14.88/2.58 tff(f890,plain,( 14.88/2.58 ( ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,sF59,t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),sF43)) )), 14.88/2.58 inference(definition_folding,[],[f303,f648,f694])). 14.88/2.58 tff(f303,plain,( 14.88/2.58 ( ! [X29 : vertex1] : (shortest_path1(sK0,X29,tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(X29)))) | ~mem(vertex,t2tb2(X29),t2tb(sK12))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f4389,plain,( 14.88/2.58 spl103_292 | ~spl103_22 | ~spl103_24), 14.88/2.58 inference(avatar_split_clause,[],[f4317,f1153,f1143,f4386])). 14.88/2.58 tff(f4386,plain,( 14.88/2.58 spl103_292 <=> mem(vertex,sF90,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_292])])). 14.88/2.58 tff(f1143,plain,( 14.88/2.58 spl103_22 <=> mem(vertex,sF90,sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_22])])). 14.88/2.58 tff(f4317,plain,( 14.88/2.58 mem(vertex,sF90,sF77) | (~spl103_22 | ~spl103_24)), 14.88/2.58 inference(resolution,[],[f2954,f1145])). 14.88/2.58 tff(f1145,plain,( 14.88/2.58 mem(vertex,sF90,sF87) | ~spl103_22), 14.88/2.58 inference(avatar_component_clause,[],[f1143])). 14.88/2.58 tff(f4366,plain,( 14.88/2.58 spl103_291 | ~spl103_92 | ~spl103_111), 14.88/2.58 inference(avatar_split_clause,[],[f4304,f2056,f1627,f4363])). 14.88/2.58 tff(f4363,plain,( 14.88/2.58 spl103_291 <=> mem(vertex,sF55,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_291])])). 14.88/2.58 tff(f4304,plain,( 14.88/2.58 mem(vertex,sF55,sF77) | (~spl103_92 | ~spl103_111)), 14.88/2.58 inference(resolution,[],[f2952,f2057])). 14.88/2.58 tff(f4349,plain,( 14.88/2.58 spl103_290 | ~spl103_19 | ~spl103_170), 14.88/2.58 inference(avatar_split_clause,[],[f4296,f2993,f1128,f4346])). 14.88/2.58 tff(f4346,plain,( 14.88/2.58 spl103_290 <=> mem(vertex,sF50,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_290])])). 14.88/2.58 tff(f4296,plain,( 14.88/2.58 mem(vertex,sF50,sF77) | (~spl103_19 | ~spl103_170)), 14.88/2.58 inference(resolution,[],[f2951,f2995])). 14.88/2.58 tff(f4334,plain,( 14.88/2.58 spl103_289 | ~spl103_15 | ~spl103_19), 14.88/2.58 inference(avatar_split_clause,[],[f4295,f1128,f1108,f4331])). 14.88/2.58 tff(f4331,plain,( 14.88/2.58 spl103_289 <=> mem(vertex,sF48,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_289])])). 14.88/2.58 tff(f4295,plain,( 14.88/2.58 mem(vertex,sF48,sF77) | (~spl103_15 | ~spl103_19)), 14.88/2.58 inference(resolution,[],[f2951,f1110])). 14.88/2.58 tff(f4294,plain,( 14.88/2.58 ~spl103_288 | ~spl103_67), 14.88/2.58 inference(avatar_split_clause,[],[f2818,f1368,f4291])). 14.88/2.58 tff(f4291,plain,( 14.88/2.58 spl103_288 <=> $less(tb2t3(get(int,vertex,sF84,sF91)),sF86)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_288])])). 14.88/2.58 tff(f2818,plain,( 14.88/2.58 ~$less(tb2t3(get(int,vertex,sF84,sF91)),sF86) | ~spl103_67), 14.88/2.58 inference(global_subsumption,[],[f1029,f2811])). 14.88/2.58 tff(f2811,plain,( 14.88/2.58 ~$less(tb2t3(get(int,vertex,sF84,sF91)),sF86) | ~mem(vertex,sF91,sF87) | ~spl103_67), 14.88/2.58 inference(superposition,[],[f913,f1370])). 14.88/2.58 tff(f4289,plain,( 14.88/2.58 ~spl103_286 | ~spl103_287 | ~spl103_84 | spl103_122), 14.88/2.58 inference(avatar_split_clause,[],[f2142,f2136,f1482,f4286,f4282])). 14.88/2.58 tff(f4282,plain,( 14.88/2.58 spl103_286 <=> 0 = sF54), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_286])])). 14.88/2.58 tff(f2136,plain,( 14.88/2.58 spl103_122 <=> $less(sF53,0)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_122])])). 14.88/2.58 tff(f2142,plain,( 14.88/2.58 sF53 != sF57 | 0 != sF54 | (~spl103_84 | spl103_122)), 14.88/2.58 inference(constrained_resolution,[],[f2138,f1484])). 14.88/2.58 tff(f2138,plain,( 14.88/2.58 ~$less(sF53,0) | spl103_122), 14.88/2.58 inference(avatar_component_clause,[],[f2136])). 14.88/2.58 tff(f4280,plain,( 14.88/2.58 ~spl103_285 | ~spl103_66), 14.88/2.58 inference(avatar_split_clause,[],[f2817,f1363,f4277])). 14.88/2.58 tff(f4277,plain,( 14.88/2.58 spl103_285 <=> $less(tb2t3(get(int,vertex,sF84,sF90)),sF86)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_285])])). 14.88/2.58 tff(f2817,plain,( 14.88/2.58 ~$less(tb2t3(get(int,vertex,sF84,sF90)),sF86) | ~spl103_66), 14.88/2.58 inference(global_subsumption,[],[f916,f2810])). 14.88/2.58 tff(f2810,plain,( 14.88/2.58 ~$less(tb2t3(get(int,vertex,sF84,sF90)),sF86) | ~mem(vertex,sF90,sF87) | ~spl103_66), 14.88/2.58 inference(superposition,[],[f913,f1365])). 14.88/2.58 tff(f4273,plain,( 14.88/2.58 ~spl103_283 | ~spl103_284 | ~spl103_38 | ~spl103_48 | ~spl103_67 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2692,f1496,f1368,f1273,f1223,f4270,f4266])). 14.88/2.58 tff(f4266,plain,( 14.88/2.58 spl103_283 <=> mem(vertex,sF91,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_283])])). 14.88/2.58 tff(f4270,plain,( 14.88/2.58 spl103_284 <=> mem(vertex,sF91,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_284])])). 14.88/2.58 tff(f2692,plain,( 14.88/2.58 ~mem(vertex,sF91,sF44) | ~mem(vertex,sF91,sF43) | (~spl103_38 | ~spl103_48 | ~spl103_67 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f2549,f2678])). 14.88/2.58 tff(f2549,plain,( 14.88/2.58 ~mem(vertex,sF91,sF58) | ~mem(vertex,sF91,sF43) | ~spl103_67), 14.88/2.58 inference(superposition,[],[f891,f1370])). 14.88/2.58 tff(f4262,plain,( 14.88/2.58 ~spl103_281 | ~spl103_282 | ~spl103_38 | ~spl103_48 | ~spl103_66 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2691,f1496,f1363,f1273,f1223,f4259,f4255])). 14.88/2.58 tff(f4255,plain,( 14.88/2.58 spl103_281 <=> mem(vertex,sF90,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_281])])). 14.88/2.58 tff(f4259,plain,( 14.88/2.58 spl103_282 <=> mem(vertex,sF90,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_282])])). 14.88/2.58 tff(f2691,plain,( 14.88/2.58 ~mem(vertex,sF90,sF44) | ~mem(vertex,sF90,sF43) | (~spl103_38 | ~spl103_48 | ~spl103_66 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f2548,f2678])). 14.88/2.58 tff(f2548,plain,( 14.88/2.58 ~mem(vertex,sF90,sF58) | ~mem(vertex,sF90,sF43) | ~spl103_66), 14.88/2.58 inference(superposition,[],[f891,f1365])). 14.88/2.58 tff(f4251,plain,( 14.88/2.58 ~spl103_279 | ~spl103_280 | ~spl103_38 | ~spl103_48 | ~spl103_57 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2690,f1496,f1318,f1273,f1223,f4248,f4244])). 14.88/2.58 tff(f4244,plain,( 14.88/2.58 spl103_279 <=> mem(vertex,sF74,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_279])])). 14.88/2.58 tff(f4248,plain,( 14.88/2.58 spl103_280 <=> mem(vertex,sF74,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_280])])). 14.88/2.58 tff(f2690,plain,( 14.88/2.58 ~mem(vertex,sF74,sF44) | ~mem(vertex,sF74,sF43) | (~spl103_38 | ~spl103_48 | ~spl103_57 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f2547,f2678])). 14.88/2.58 tff(f2547,plain,( 14.88/2.58 ~mem(vertex,sF74,sF58) | ~mem(vertex,sF74,sF43) | ~spl103_57), 14.88/2.58 inference(superposition,[],[f891,f1320])). 14.88/2.58 tff(f4240,plain,( 14.88/2.58 ~spl103_277 | ~spl103_278 | ~spl103_38 | ~spl103_48 | ~spl103_56 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2689,f1496,f1313,f1273,f1223,f4237,f4233])). 14.88/2.58 tff(f4233,plain,( 14.88/2.58 spl103_277 <=> mem(vertex,sF73,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_277])])). 14.88/2.58 tff(f4237,plain,( 14.88/2.58 spl103_278 <=> mem(vertex,sF73,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_278])])). 14.88/2.58 tff(f2689,plain,( 14.88/2.58 ~mem(vertex,sF73,sF44) | ~mem(vertex,sF73,sF43) | (~spl103_38 | ~spl103_48 | ~spl103_56 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f2546,f2678])). 14.88/2.58 tff(f2546,plain,( 14.88/2.58 ~mem(vertex,sF73,sF58) | ~mem(vertex,sF73,sF43) | ~spl103_56), 14.88/2.58 inference(superposition,[],[f891,f1315])). 14.88/2.58 tff(f4229,plain,( 14.88/2.58 ~spl103_275 | ~spl103_276 | ~spl103_38 | ~spl103_48 | ~spl103_72 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2687,f1496,f1393,f1273,f1223,f4226,f4222])). 14.88/2.58 tff(f4222,plain,( 14.88/2.58 spl103_275 <=> mem(vertex,sF102,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_275])])). 14.88/2.58 tff(f4226,plain,( 14.88/2.58 spl103_276 <=> mem(vertex,sF102,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_276])])). 14.88/2.58 tff(f2687,plain,( 14.88/2.58 ~mem(vertex,sF102,sF44) | ~mem(vertex,sF102,sF43) | (~spl103_38 | ~spl103_48 | ~spl103_72 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f2541,f2678])). 14.88/2.58 tff(f2541,plain,( 14.88/2.58 ~mem(vertex,sF102,sF58) | ~mem(vertex,sF102,sF43) | ~spl103_72), 14.88/2.58 inference(superposition,[],[f891,f1395])). 14.88/2.58 tff(f4218,plain,( 14.88/2.58 ~spl103_273 | ~spl103_274 | ~spl103_38 | ~spl103_48 | ~spl103_61 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2686,f1496,f1338,f1273,f1223,f4215,f4211])). 14.88/2.58 tff(f4211,plain,( 14.88/2.58 spl103_273 <=> mem(vertex,sF78,sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_273])])). 14.88/2.58 tff(f4215,plain,( 14.88/2.58 spl103_274 <=> mem(vertex,sF78,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_274])])). 14.88/2.58 tff(f1338,plain,( 14.88/2.58 spl103_61 <=> t2tb2(sK0) = sF78), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_61])])). 14.88/2.58 tff(f2686,plain,( 14.88/2.58 ~mem(vertex,sF78,sF44) | ~mem(vertex,sF78,sF43) | (~spl103_38 | ~spl103_48 | ~spl103_61 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f2540,f2678])). 14.88/2.58 tff(f2540,plain,( 14.88/2.58 ~mem(vertex,sF78,sF58) | ~mem(vertex,sF78,sF43) | ~spl103_61), 14.88/2.58 inference(superposition,[],[f891,f1340])). 14.88/2.58 tff(f1340,plain,( 14.88/2.58 t2tb2(sK0) = sF78 | ~spl103_61), 14.88/2.58 inference(avatar_component_clause,[],[f1338])). 14.88/2.58 tff(f4207,plain,( 14.88/2.58 ~spl103_271 | ~spl103_272 | ~spl103_57), 14.88/2.58 inference(avatar_split_clause,[],[f2586,f1318,f4204,f4200])). 14.88/2.58 tff(f4200,plain,( 14.88/2.58 spl103_271 <=> mem(vertex,sF74,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_271])])). 14.88/2.58 tff(f4204,plain,( 14.88/2.58 spl103_272 <=> mem(vertex,sF74,sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_272])])). 14.88/2.58 tff(f2586,plain,( 14.88/2.58 ~mem(vertex,sF74,sF87) | ~mem(vertex,sF74,sF81) | ~spl103_57), 14.88/2.58 inference(superposition,[],[f921,f1320])). 14.88/2.58 tff(f921,plain,( 14.88/2.58 ( ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),sF87) | ~mem(vertex,t2tb2(X37),sF81)) )), 14.88/2.58 inference(definition_folding,[],[f286,f909,f900])). 14.88/2.58 tff(f286,plain,( 14.88/2.58 ( ! [X37 : vertex1] : (~mem(vertex,t2tb2(X37),t2tb(sK8)) | ~mem(vertex,t2tb2(X37),t2tb(sK6))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f4196,plain,( 14.88/2.58 ~spl103_269 | ~spl103_270 | ~spl103_56), 14.88/2.58 inference(avatar_split_clause,[],[f2585,f1313,f4193,f4189])). 14.88/2.58 tff(f4189,plain,( 14.88/2.58 spl103_269 <=> mem(vertex,sF73,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_269])])). 14.88/2.58 tff(f4193,plain,( 14.88/2.58 spl103_270 <=> mem(vertex,sF73,sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_270])])). 14.88/2.58 tff(f2585,plain,( 14.88/2.58 ~mem(vertex,sF73,sF87) | ~mem(vertex,sF73,sF81) | ~spl103_56), 14.88/2.58 inference(superposition,[],[f921,f1315])). 14.88/2.58 tff(f4185,plain,( 14.88/2.58 ~spl103_267 | ~spl103_268 | ~spl103_36), 14.88/2.58 inference(avatar_split_clause,[],[f2584,f1213,f4182,f4178])). 14.88/2.58 tff(f2584,plain,( 14.88/2.58 ~mem(vertex,sF42,sF87) | ~mem(vertex,sF42,sF81) | ~spl103_36), 14.88/2.58 inference(superposition,[],[f921,f1215])). 14.88/2.58 tff(f4174,plain,( 14.88/2.58 ~spl103_265 | ~spl103_266 | ~spl103_42), 14.88/2.58 inference(avatar_split_clause,[],[f2583,f1243,f4171,f4167])). 14.88/2.58 tff(f2583,plain,( 14.88/2.58 ~mem(vertex,sF48,sF87) | ~mem(vertex,sF48,sF81) | ~spl103_42), 14.88/2.58 inference(superposition,[],[f921,f1245])). 14.88/2.58 tff(f4163,plain,( 14.88/2.58 ~spl103_263 | ~spl103_264 | ~spl103_46), 14.88/2.58 inference(avatar_split_clause,[],[f2582,f1263,f4160,f4156])). 14.88/2.58 tff(f4156,plain,( 14.88/2.58 spl103_263 <=> mem(vertex,sF55,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_263])])). 14.88/2.58 tff(f1263,plain,( 14.88/2.58 spl103_46 <=> t2tb2(sK18) = sF55), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_46])])). 14.88/2.58 tff(f2582,plain,( 14.88/2.58 ~mem(vertex,sF55,sF87) | ~mem(vertex,sF55,sF81) | ~spl103_46), 14.88/2.58 inference(superposition,[],[f921,f1265])). 14.88/2.58 tff(f1265,plain,( 14.88/2.58 t2tb2(sK18) = sF55 | ~spl103_46), 14.88/2.58 inference(avatar_component_clause,[],[f1263])). 14.88/2.58 tff(f4152,plain,( 14.88/2.58 ~spl103_261 | ~spl103_262 | ~spl103_72), 14.88/2.58 inference(avatar_split_clause,[],[f2580,f1393,f4149,f4145])). 14.88/2.58 tff(f4145,plain,( 14.88/2.58 spl103_261 <=> mem(vertex,sF102,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_261])])). 14.88/2.58 tff(f4149,plain,( 14.88/2.58 spl103_262 <=> mem(vertex,sF102,sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_262])])). 14.88/2.58 tff(f2580,plain,( 14.88/2.58 ~mem(vertex,sF102,sF87) | ~mem(vertex,sF102,sF81) | ~spl103_72), 14.88/2.58 inference(superposition,[],[f921,f1395])). 14.88/2.58 tff(f4141,plain,( 14.88/2.58 ~spl103_259 | ~spl103_260 | ~spl103_61), 14.88/2.58 inference(avatar_split_clause,[],[f2579,f1338,f4138,f4134])). 14.88/2.58 tff(f4134,plain,( 14.88/2.58 spl103_259 <=> mem(vertex,sF78,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_259])])). 14.88/2.58 tff(f4138,plain,( 14.88/2.58 spl103_260 <=> mem(vertex,sF78,sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_260])])). 14.88/2.58 tff(f2579,plain,( 14.88/2.58 ~mem(vertex,sF78,sF87) | ~mem(vertex,sF78,sF81) | ~spl103_61), 14.88/2.58 inference(superposition,[],[f921,f1340])). 14.88/2.58 tff(f4130,plain,( 14.88/2.58 spl103_257 | ~spl103_258 | ~spl103_67), 14.88/2.58 inference(avatar_split_clause,[],[f2570,f1368,f4127,f4123])). 14.88/2.58 tff(f4127,plain,( 14.88/2.58 spl103_258 <=> mem(vertex,sF91,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_258])])). 14.88/2.58 tff(f2570,plain,( 14.88/2.58 ~mem(vertex,sF91,sF70) | mem(vertex,sF91,sF76) | ~spl103_67), 14.88/2.58 inference(superposition,[],[f899,f1370])). 14.88/2.58 tff(f899,plain,( 14.88/2.58 ( ! [X31 : vertex1] : (~mem(vertex,t2tb2(X31),sF70) | mem(vertex,t2tb2(X31),sF76)) )), 14.88/2.58 inference(definition_folding,[],[f298,f873,f885,f884])). 14.88/2.58 tff(f298,plain,( 14.88/2.58 ( ! [X31 : vertex1] : (mem(vertex,t2tb2(X31),t2tb(g_succ1(sK11))) | ~mem(vertex,t2tb2(X31),t2tb(sK13))) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f4119,plain,( 14.88/2.58 spl103_255 | ~spl103_256 | ~spl103_66), 14.88/2.58 inference(avatar_split_clause,[],[f2569,f1363,f4116,f4112])). 14.88/2.58 tff(f4116,plain,( 14.88/2.58 spl103_256 <=> mem(vertex,sF90,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_256])])). 14.88/2.58 tff(f2569,plain,( 14.88/2.58 ~mem(vertex,sF90,sF70) | mem(vertex,sF90,sF76) | ~spl103_66), 14.88/2.58 inference(superposition,[],[f899,f1365])). 14.88/2.58 tff(f4110,plain,( 14.88/2.58 ~spl103_253 | ~spl103_36 | ~spl103_38 | ~spl103_48 | ~spl103_76 | ~spl103_87 | ~spl103_159 | spl103_254), 14.88/2.58 inference(avatar_split_clause,[],[f4109,f4105,f2736,f1496,f1421,f1273,f1223,f1213,f4101])). 14.88/2.58 tff(f4101,plain,( 14.88/2.58 spl103_253 <=> mem(vertex,sF42,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_253])])). 14.88/2.58 tff(f4109,plain,( 14.88/2.58 ~mem(vertex,sF42,sF76) | (~spl103_36 | ~spl103_38 | ~spl103_48 | ~spl103_76 | ~spl103_87 | ~spl103_159 | spl103_254)), 14.88/2.58 inference(subsumption_resolution,[],[f3058,f4107])). 14.88/2.58 tff(f4108,plain,( 14.88/2.58 spl103_253 | ~spl103_254 | ~spl103_36), 14.88/2.58 inference(avatar_split_clause,[],[f2566,f1213,f4105,f4101])). 14.88/2.58 tff(f2566,plain,( 14.88/2.58 ~mem(vertex,sF42,sF70) | mem(vertex,sF42,sF76) | ~spl103_36), 14.88/2.58 inference(superposition,[],[f899,f1215])). 14.88/2.58 tff(f4098,plain,( 14.88/2.58 spl103_251 | ~spl103_252 | ~spl103_42), 14.88/2.58 inference(avatar_split_clause,[],[f2565,f1243,f4095,f4091])). 14.88/2.58 tff(f4095,plain,( 14.88/2.58 spl103_252 <=> mem(vertex,sF48,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_252])])). 14.88/2.58 tff(f2565,plain,( 14.88/2.58 ~mem(vertex,sF48,sF70) | mem(vertex,sF48,sF76) | ~spl103_42), 14.88/2.58 inference(superposition,[],[f899,f1245])). 14.88/2.58 tff(f4089,plain,( 14.88/2.58 spl103_249 | ~spl103_250 | ~spl103_44), 14.88/2.58 inference(avatar_split_clause,[],[f2563,f1253,f4086,f4082])). 14.88/2.58 tff(f4082,plain,( 14.88/2.58 spl103_249 <=> mem(vertex,sF50,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_249])])). 14.88/2.58 tff(f4086,plain,( 14.88/2.58 spl103_250 <=> mem(vertex,sF50,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_250])])). 14.88/2.58 tff(f2563,plain,( 14.88/2.58 ~mem(vertex,sF50,sF70) | mem(vertex,sF50,sF76) | ~spl103_44), 14.88/2.58 inference(superposition,[],[f899,f1255])). 14.88/2.58 tff(f4078,plain,( 14.88/2.58 spl103_247 | ~spl103_248 | ~spl103_72), 14.88/2.58 inference(avatar_split_clause,[],[f2562,f1393,f4075,f4071])). 14.88/2.58 tff(f4075,plain,( 14.88/2.58 spl103_248 <=> mem(vertex,sF102,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_248])])). 14.88/2.58 tff(f2562,plain,( 14.88/2.58 ~mem(vertex,sF102,sF70) | mem(vertex,sF102,sF76) | ~spl103_72), 14.88/2.58 inference(superposition,[],[f899,f1395])). 14.88/2.58 tff(f4065,plain,( 14.88/2.58 spl103_245 | ~spl103_246 | ~spl103_61), 14.88/2.58 inference(avatar_split_clause,[],[f2561,f1338,f4062,f4058])). 14.88/2.58 tff(f4062,plain,( 14.88/2.58 spl103_246 <=> mem(vertex,sF78,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_246])])). 14.88/2.58 tff(f2561,plain,( 14.88/2.58 ~mem(vertex,sF78,sF70) | mem(vertex,sF78,sF76) | ~spl103_61), 14.88/2.58 inference(superposition,[],[f899,f1340])). 14.88/2.58 tff(f4049,plain,( 14.88/2.58 ~spl103_244 | ~spl103_232), 14.88/2.58 inference(avatar_split_clause,[],[f3962,f3904,f4046])). 14.88/2.58 tff(f4046,plain,( 14.88/2.58 spl103_244 <=> is_empty(vertex,sF100)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_244])])). 14.88/2.58 tff(f3904,plain,( 14.88/2.58 spl103_232 <=> mem(vertex,sF78,sF100)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_232])])). 14.88/2.58 tff(f3962,plain,( 14.88/2.58 ~is_empty(vertex,sF100) | ~spl103_232), 14.88/2.58 inference(resolution,[],[f3906,f544])). 14.88/2.58 tff(f3906,plain,( 14.88/2.58 mem(vertex,sF78,sF100) | ~spl103_232), 14.88/2.58 inference(avatar_component_clause,[],[f3904])). 14.88/2.58 tff(f4044,plain,( 14.88/2.58 spl103_243 | ~spl103_65 | ~spl103_131), 14.88/2.58 inference(avatar_split_clause,[],[f3167,f2192,f1358,f4041])). 14.88/2.58 tff(f1358,plain,( 14.88/2.58 spl103_65 <=> t2tb(sK6) = sF87), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_65])])). 14.88/2.58 tff(f3167,plain,( 14.88/2.58 sF87 = add(vertex,sF50,sF88) | (~spl103_65 | ~spl103_131)), 14.88/2.58 inference(global_subsumption,[],[f914,f1911,f3159])). 14.88/2.58 tff(f3159,plain,( 14.88/2.58 sF87 = add(vertex,sF50,sF88) | ~mem(vertex,sF50,sF87) | ~sort1(set(vertex),sF87) | ~spl103_131), 14.88/2.58 inference(superposition,[],[f580,f2194])). 14.88/2.58 tff(f580,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (add(X0,X1,remove(X0,X1,X2)) = X2 | ~mem(X0,X1,X2) | ~sort1(set(X0),X2)) )), 14.88/2.58 inference(cnf_transformation,[],[f194])). 14.88/2.58 tff(f194,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : (add(X0,X1,remove(X0,X1,X2)) = X2 | ~mem(X0,X1,X2) | ~sort1(set(X0),X2))), 14.88/2.58 inference(flattening,[],[f193])). 14.88/2.58 tff(f193,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : ((add(X0,X1,remove(X0,X1,X2)) = X2 | ~mem(X0,X1,X2)) | ~sort1(set(X0),X2))), 14.88/2.58 inference(ennf_transformation,[],[f140])). 14.88/2.58 tff(f140,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(set(X0),X2) => (mem(X0,X1,X2) => add(X0,X1,remove(X0,X1,X2)) = X2))), 14.88/2.58 inference(rectify,[],[f52])). 14.88/2.58 tff(f52,axiom,( 14.88/2.58 ! [X0 : ty,X7 : uni,X1 : uni] : (sort1(set(X0),X1) => (mem(X0,X7,X1) => add(X0,X7,remove(X0,X7,X1)) = X1))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_remove)). 14.88/2.58 tff(f1911,plain,( 14.88/2.58 sort1(set(vertex),sF87) | ~spl103_65), 14.88/2.58 inference(superposition,[],[f528,f1360])). 14.88/2.58 tff(f1360,plain,( 14.88/2.58 t2tb(sK6) = sF87 | ~spl103_65), 14.88/2.58 inference(avatar_component_clause,[],[f1358])). 14.88/2.58 tff(f4037,plain,( 14.88/2.58 spl103_242 | ~spl103_29 | ~spl103_70 | ~spl103_93 | ~spl103_133), 14.88/2.58 inference(avatar_split_clause,[],[f3000,f2206,f1640,f1383,f1178,f4034])). 14.88/2.58 tff(f4034,plain,( 14.88/2.58 spl103_242 <=> sF79 = get(int,vertex,sF97,sF78)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_242])])). 14.88/2.58 tff(f1640,plain,( 14.88/2.58 spl103_93 <=> sort1(int,sF96)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_93])])). 14.88/2.58 tff(f2206,plain,( 14.88/2.58 spl103_133 <=> sF97 = set1(int,vertex,sF95,sF78,sF79)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_133])])). 14.88/2.58 tff(f3000,plain,( 14.88/2.58 sF79 = get(int,vertex,sF97,sF78) | (~spl103_29 | ~spl103_70 | ~spl103_93 | ~spl103_133)), 14.88/2.58 inference(global_subsumption,[],[f1876,f2997])). 14.88/2.58 tff(f2997,plain,( 14.88/2.58 sF79 = get(int,vertex,sF97,sF78) | ~sort1(int,sF79) | ~spl103_133), 14.88/2.58 inference(superposition,[],[f646,f2208])). 14.88/2.58 tff(f2208,plain,( 14.88/2.58 sF97 = set1(int,vertex,sF95,sF78,sF79) | ~spl103_133), 14.88/2.58 inference(avatar_component_clause,[],[f2206])). 14.88/2.58 tff(f1876,plain,( 14.88/2.58 sort1(int,sF79) | (~spl103_29 | ~spl103_70 | ~spl103_93)), 14.88/2.58 inference(backward_demodulation,[],[f1642,f1875])). 14.88/2.58 tff(f1642,plain,( 14.88/2.58 sort1(int,sF96) | ~spl103_93), 14.88/2.58 inference(avatar_component_clause,[],[f1640])). 14.88/2.58 tff(f4016,plain,( 14.88/2.58 ~spl103_241 | ~spl103_107 | spl103_237), 14.88/2.58 inference(avatar_split_clause,[],[f3992,f3984,f1883,f4013])). 14.88/2.58 tff(f4013,plain,( 14.88/2.58 spl103_241 <=> sF56 = sF79), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_241])])). 14.88/2.58 tff(f1883,plain,( 14.88/2.58 spl103_107 <=> sF79 = sF96), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_107])])). 14.88/2.58 tff(f3984,plain,( 14.88/2.58 spl103_237 <=> sF56 = sF96), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_237])])). 14.88/2.58 tff(f3992,plain,( 14.88/2.58 sF56 != sF79 | (~spl103_107 | spl103_237)), 14.88/2.58 inference(superposition,[],[f3985,f1885])). 14.88/2.58 tff(f1885,plain,( 14.88/2.58 sF79 = sF96 | ~spl103_107), 14.88/2.58 inference(avatar_component_clause,[],[f1883])). 14.88/2.58 tff(f3985,plain,( 14.88/2.58 sF56 != sF96 | spl103_237), 14.88/2.58 inference(avatar_component_clause,[],[f3984])). 14.88/2.58 tff(f4004,plain,( 14.88/2.58 spl103_240 | spl103_1), 14.88/2.58 inference(avatar_split_clause,[],[f3963,f1035,f4001])). 14.88/2.58 tff(f4001,plain,( 14.88/2.58 spl103_240 <=> false1 = sK9), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_240])])). 14.88/2.58 tff(f1035,plain,( 14.88/2.58 spl103_1 <=> sK9 = sK16), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_1])])). 14.88/2.58 tff(f3963,plain,( 14.88/2.58 false1 = sK9 | spl103_1), 14.88/2.58 inference(equality_resolution,[],[f1474])). 14.88/2.58 tff(f1474,plain,( 14.88/2.58 ( ! [X1 : bool1] : (sK9 != X1 | false1 = X1) ) | spl103_1), 14.88/2.58 inference(superposition,[],[f1037,f640])). 14.88/2.58 tff(f640,plain,( 14.88/2.58 ( ! [X0 : bool1] : (sK16 = X0 | false1 = X0) )), 14.88/2.58 inference(definition_unfolding,[],[f532,f312])). 14.88/2.58 tff(f532,plain,( 14.88/2.58 ( ! [X0 : bool1] : (false1 = X0 | true1 = X0) )), 14.88/2.58 inference(cnf_transformation,[],[f108])). 14.88/2.58 tff(f108,plain,( 14.88/2.58 ! [X0 : bool1] : (false1 = X0 | true1 = X0)), 14.88/2.58 inference(rectify,[],[f56])). 14.88/2.58 tff(f56,axiom,( 14.88/2.58 ! [X13 : bool1] : (false1 = X13 | true1 = X13)), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bool_inversion)). 14.88/2.58 tff(f1037,plain,( 14.88/2.58 sK9 != sK16 | spl103_1), 14.88/2.58 inference(avatar_component_clause,[],[f1035])). 14.88/2.58 tff(f3999,plain,( 14.88/2.58 spl103_239 | ~spl103_55 | ~spl103_157), 14.88/2.58 inference(avatar_split_clause,[],[f3168,f2726,f1308,f3996])). 14.88/2.58 tff(f1308,plain,( 14.88/2.58 spl103_55 <=> t2tb(sK13) = sF70), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_55])])). 14.88/2.58 tff(f3168,plain,( 14.88/2.58 sF70 = add(vertex,sF55,sF45) | (~spl103_55 | ~spl103_157)), 14.88/2.58 inference(global_subsumption,[],[f874,f1914,f3160])). 14.88/2.58 tff(f3160,plain,( 14.88/2.58 sF70 = add(vertex,sF55,sF45) | ~mem(vertex,sF55,sF70) | ~sort1(set(vertex),sF70) | ~spl103_157), 14.88/2.58 inference(superposition,[],[f580,f2728])). 14.88/2.58 tff(f1914,plain,( 14.88/2.58 sort1(set(vertex),sF70) | ~spl103_55), 14.88/2.58 inference(superposition,[],[f528,f1310])). 14.88/2.58 tff(f1310,plain,( 14.88/2.58 t2tb(sK13) = sF70 | ~spl103_55), 14.88/2.58 inference(avatar_component_clause,[],[f1308])). 14.88/2.58 tff(f3991,plain,( 14.88/2.58 spl103_237 | ~spl103_238 | ~spl103_47 | ~spl103_51 | ~spl103_70 | ~spl103_78 | ~spl103_134 | ~spl103_143), 14.88/2.58 inference(avatar_split_clause,[],[f3014,f2501,f2211,f1432,f1383,f1288,f1268,f3988,f3984])). 14.88/2.58 tff(f3988,plain,( 14.88/2.58 spl103_238 <=> 0 = sF57), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_238])])). 14.88/2.58 tff(f3014,plain,( 14.88/2.58 0 != sF57 | sF56 = sF96 | (~spl103_47 | ~spl103_51 | ~spl103_70 | ~spl103_78 | ~spl103_134 | ~spl103_143)), 14.88/2.58 inference(forward_demodulation,[],[f3006,f3008])). 14.88/2.58 tff(f3006,plain,( 14.88/2.58 sF56 = sF96 | 0 != sF62 | (~spl103_51 | ~spl103_70 | ~spl103_78 | ~spl103_134 | ~spl103_143)), 14.88/2.58 inference(backward_demodulation,[],[f1461,f3002])). 14.88/2.58 tff(f1461,plain,( 14.88/2.58 sF63 = sF96 | 0 != sF62 | (~spl103_51 | ~spl103_70)), 14.88/2.58 inference(constrained_superposition,[],[f1385,f1290])). 14.88/2.58 tff(f3973,plain,( 14.88/2.58 ~spl103_235 | ~spl103_236), 14.88/2.58 inference(avatar_split_clause,[],[f2154,f3970,f3966])). 14.88/2.58 tff(f3966,plain,( 14.88/2.58 spl103_235 <=> $less(0,sF86)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_235])])). 14.88/2.58 tff(f3970,plain,( 14.88/2.58 spl103_236 <=> sK0 = sK11), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_236])])). 14.88/2.58 tff(f2154,plain,( 14.88/2.58 sK0 != sK11 | ~$less(0,sF86)), 14.88/2.58 inference(constrained_resolution,[],[f907,f521])). 14.88/2.58 tff(f521,plain,( 14.88/2.58 ( ! [X0 : vertex1] : (path1(X0,X0,0)) )), 14.88/2.58 inference(cnf_transformation,[],[f98])). 14.88/2.58 tff(f98,plain,( 14.88/2.58 ! [X0 : vertex1] : path1(X0,X0,0)), 14.88/2.58 inference(rectify,[],[f12])). 14.88/2.58 tff(f12,axiom,( 14.88/2.58 ! [X7 : vertex1] : path1(X7,X7,0)), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_nil)). 14.88/2.58 tff(f907,plain,( 14.88/2.58 ( ! [X32 : $int] : (~path1(sK0,sK11,X32) | ~$less(X32,sF86)) )), 14.88/2.58 inference(definition_folding,[],[f296,f906,f905,f660,f904])). 14.88/2.58 tff(f296,plain,( 14.88/2.58 ( ! [X32 : $int] : (~$less(X32,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11)))) | ~path1(sK0,sK11,X32)) )), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f3925,plain,( 14.88/2.58 ~spl103_234 | ~spl103_182), 14.88/2.58 inference(avatar_split_clause,[],[f3876,f3553,f3922])). 14.88/2.58 tff(f3922,plain,( 14.88/2.58 spl103_234 <=> sF61 = -1), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_234])])). 14.88/2.58 tff(f3553,plain,( 14.88/2.58 spl103_182 <=> path1(sK0,sK11,sF61)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_182])])). 14.88/2.58 tff(f3876,plain,( 14.88/2.58 sF61 != -1 | ~spl103_182), 14.88/2.58 inference(constrained_resolution,[],[f2486,f3555])). 14.88/2.58 tff(f3555,plain,( 14.88/2.58 path1(sK0,sK11,sF61) | ~spl103_182), 14.88/2.58 inference(avatar_component_clause,[],[f3553])). 14.88/2.58 tff(f2486,plain,( 14.88/2.58 ( ! [X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,-1)) )), 14.88/2.58 inference(interpreted_simplification,[],[f2485])). 14.88/2.58 tff(f2485,plain,( 14.88/2.58 ( ! [X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,-1) | ~$less(-1,0)) )), 14.88/2.58 inference(instantiation,[],[f581])). 14.88/2.58 tff(f581,plain,( 14.88/2.58 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~path1(X0,X1,X2) | ~$less(X2,0)) )), 14.88/2.58 inference(cnf_transformation,[],[f195])). 14.88/2.58 tff(f195,plain,( 14.88/2.58 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : (~$less(X2,0) | ~path1(X0,X1,X2))), 14.88/2.58 inference(ennf_transformation,[],[f141])). 14.88/2.58 tff(f141,plain,( 14.88/2.58 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : (path1(X0,X1,X2) => ~$less(X2,0))), 14.88/2.58 inference(rectify,[],[f84])). 14.88/2.58 tff(f84,plain,( 14.88/2.58 ! [X7 : vertex1,X14 : vertex1,X11 : $int] : (path1(X7,X14,X11) => ~$less(X11,0))), 14.88/2.58 inference(theory_normalization,[],[f20])). 14.88/2.58 tff(f20,axiom,( 14.88/2.58 ! [X7 : vertex1,X14 : vertex1,X11 : $int] : (path1(X7,X14,X11) => $lesseq(0,X11))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonneg)). 14.88/2.58 tff(f3912,plain,( 14.88/2.58 ~spl103_233 | ~spl103_179), 14.88/2.58 inference(avatar_split_clause,[],[f3880,f3300,f3909])). 14.88/2.58 tff(f3300,plain,( 14.88/2.58 spl103_179 <=> path1(sK0,sK18,sF69)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_179])])). 14.88/2.58 tff(f3880,plain,( 14.88/2.58 sF69 != -1 | ~spl103_179), 14.88/2.58 inference(constrained_resolution,[],[f2486,f3302])). 14.88/2.58 tff(f3302,plain,( 14.88/2.58 path1(sK0,sK18,sF69) | ~spl103_179), 14.88/2.58 inference(avatar_component_clause,[],[f3300])). 14.88/2.58 tff(f3907,plain,( 14.88/2.58 spl103_232 | ~spl103_81 | ~spl103_132), 14.88/2.58 inference(avatar_split_clause,[],[f2788,f2197,f1453,f3904])). 14.88/2.58 tff(f1453,plain,( 14.88/2.58 spl103_81 <=> sort1(vertex,sF78)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_81])])). 14.88/2.58 tff(f2788,plain,( 14.88/2.58 mem(vertex,sF78,sF100) | (~spl103_81 | ~spl103_132)), 14.88/2.58 inference(global_subsumption,[],[f1455,f2785])). 14.88/2.58 tff(f2785,plain,( 14.88/2.58 mem(vertex,sF78,sF100) | ~sort1(vertex,sF78) | ~spl103_132), 14.88/2.58 inference(superposition,[],[f947,f2199])). 14.88/2.58 tff(f1455,plain,( 14.88/2.58 sort1(vertex,sF78) | ~spl103_81), 14.88/2.58 inference(avatar_component_clause,[],[f1453])). 14.88/2.58 tff(f3902,plain,( 14.88/2.58 ~spl103_231 | ~spl103_76 | ~spl103_131), 14.88/2.58 inference(avatar_split_clause,[],[f2782,f2192,f1421,f3899])). 14.88/2.58 tff(f2782,plain,( 14.88/2.58 ~mem(vertex,sF50,sF88) | (~spl103_76 | ~spl103_131)), 14.88/2.58 inference(global_subsumption,[],[f1423,f2780])). 14.88/2.58 tff(f2780,plain,( 14.88/2.58 ~mem(vertex,sF50,sF88) | ~sort1(vertex,sF50) | ~spl103_131), 14.88/2.58 inference(superposition,[],[f946,f2194])). 14.88/2.58 tff(f946,plain,( 14.88/2.58 ( ! [X2 : uni,X3 : uni,X0 : ty] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2)) )), 14.88/2.58 inference(duplicate_literal_removal,[],[f645])). 14.88/2.58 tff(f645,plain,( 14.88/2.58 ( ! [X2 : uni,X3 : uni,X0 : ty] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 14.88/2.58 inference(equality_resolution,[],[f617])). 14.88/2.58 tff(f617,plain,( 14.88/2.58 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (X1 != X2 | ~mem(X0,X1,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 14.88/2.58 inference(cnf_transformation,[],[f265])). 14.88/2.58 tff(f3897,plain,( 14.88/2.58 ~spl103_230 | ~spl103_20), 14.88/2.58 inference(avatar_split_clause,[],[f3877,f1133,f3894])). 14.88/2.58 tff(f3894,plain,( 14.88/2.58 spl103_230 <=> sF86 = -1), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_230])])). 14.88/2.58 tff(f1133,plain,( 14.88/2.58 spl103_20 <=> path1(sK0,sK11,sF86)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_20])])). 14.88/2.58 tff(f3877,plain,( 14.88/2.58 sF86 != -1 | ~spl103_20), 14.88/2.58 inference(constrained_resolution,[],[f2486,f1135])). 14.88/2.58 tff(f1135,plain,( 14.88/2.58 path1(sK0,sK11,sF86) | ~spl103_20), 14.88/2.58 inference(avatar_component_clause,[],[f1133])). 14.88/2.58 tff(f3892,plain,( 14.88/2.58 spl103_229 | ~spl103_53 | ~spl103_126), 14.88/2.58 inference(avatar_split_clause,[],[f2723,f2167,f1298,f3889])). 14.88/2.58 tff(f2723,plain,( 14.88/2.58 sF66 = t2tb(sF67) | (~spl103_53 | ~spl103_126)), 14.88/2.58 inference(global_subsumption,[],[f2470,f2722])). 14.88/2.58 tff(f2722,plain,( 14.88/2.58 sF66 = t2tb(sF67) | ~sort1(set(vertex),sF66) | ~spl103_53), 14.88/2.58 inference(superposition,[],[f534,f1300])). 14.88/2.58 tff(f534,plain,( 14.88/2.58 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0 | ~sort1(set(vertex),X0)) )), 14.88/2.58 inference(cnf_transformation,[],[f173])). 14.88/2.58 tff(f173,plain,( 14.88/2.58 ! [X0 : uni] : (t2tb(tb2t(X0)) = X0 | ~sort1(set(vertex),X0))), 14.88/2.58 inference(ennf_transformation,[],[f110])). 14.88/2.58 tff(f110,plain,( 14.88/2.58 ! [X0 : uni] : (sort1(set(vertex),X0) => t2tb(tb2t(X0)) = X0)), 14.88/2.58 inference(rectify,[],[f78])). 14.88/2.58 tff(f78,axiom,( 14.88/2.58 ! [X12 : uni] : (sort1(set(vertex),X12) => t2tb(tb2t(X12)) = X12)), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 14.88/2.58 tff(f2470,plain,( 14.88/2.58 sort1(set(vertex),sF66) | ~spl103_126), 14.88/2.58 inference(superposition,[],[f557,f2169])). 14.88/2.58 tff(f557,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (sort1(set(X0),add(X0,X1,X2))) )), 14.88/2.58 inference(cnf_transformation,[],[f126])). 14.88/2.58 tff(f126,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : sort1(set(X0),add(X0,X1,X2))), 14.88/2.58 inference(rectify,[],[f10])). 14.88/2.58 tff(f10,axiom,( 14.88/2.58 ! [X0 : ty,X7 : uni,X8 : uni] : sort1(set(X0),add(X0,X7,X8))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_sort1)). 14.88/2.58 tff(f3875,plain,( 14.88/2.58 spl103_228 | ~spl103_131), 14.88/2.58 inference(avatar_split_clause,[],[f2484,f2192,f3872])). 14.88/2.58 tff(f2484,plain,( 14.88/2.58 subset(vertex,sF88,sF87) | ~spl103_131), 14.88/2.58 inference(superposition,[],[f560,f2194])). 14.88/2.58 tff(f560,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (subset(X0,remove(X0,X1,X2),X2)) )), 14.88/2.58 inference(cnf_transformation,[],[f129])). 14.88/2.58 tff(f129,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : subset(X0,remove(X0,X1,X2),X2)), 14.88/2.58 inference(rectify,[],[f70])). 14.88/2.58 tff(f70,axiom,( 14.88/2.58 ! [X0 : ty,X7 : uni,X1 : uni] : subset(X0,remove(X0,X7,X1),X1)), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_remove)). 14.88/2.58 tff(f3870,plain,( 14.88/2.58 spl103_227 | ~spl103_131), 14.88/2.58 inference(avatar_split_clause,[],[f2477,f2192,f3867])). 14.88/2.58 tff(f3867,plain,( 14.88/2.58 spl103_227 <=> sort1(set(vertex),sF88)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_227])])). 14.88/2.58 tff(f2477,plain,( 14.88/2.58 sort1(set(vertex),sF88) | ~spl103_131), 14.88/2.58 inference(superposition,[],[f558,f2194])). 14.88/2.58 tff(f558,plain,( 14.88/2.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (sort1(set(X0),remove(X0,X1,X2))) )), 14.88/2.58 inference(cnf_transformation,[],[f127])). 14.88/2.58 tff(f127,plain,( 14.88/2.58 ! [X0 : ty,X1 : uni,X2 : uni] : sort1(set(X0),remove(X0,X1,X2))), 14.88/2.58 inference(rectify,[],[f65])). 14.88/2.58 tff(f65,axiom,( 14.88/2.58 ! [X0 : ty,X7 : uni,X8 : uni] : sort1(set(X0),remove(X0,X7,X8))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_sort1)). 14.88/2.58 tff(f3865,plain,( 14.88/2.58 spl103_149 | ~spl103_126), 14.88/2.58 inference(avatar_split_clause,[],[f2470,f2167,f2552])). 14.88/2.58 tff(f2552,plain,( 14.88/2.58 spl103_149 <=> sort1(set(vertex),sF66)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_149])])). 14.88/2.58 tff(f3864,plain,( 14.88/2.58 spl103_226 | ~spl103_132), 14.88/2.58 inference(avatar_split_clause,[],[f2467,f2197,f3861])). 14.88/2.58 tff(f3861,plain,( 14.88/2.58 spl103_226 <=> sort1(set(vertex),sF100)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_226])])). 14.88/2.58 tff(f2467,plain,( 14.88/2.58 sort1(set(vertex),sF100) | ~spl103_132), 14.88/2.58 inference(superposition,[],[f557,f2199])). 14.88/2.58 tff(f3859,plain,( 14.88/2.58 spl103_225 | ~spl103_58 | ~spl103_59), 14.88/2.58 inference(avatar_split_clause,[],[f2204,f1328,f1323,f3856])). 14.88/2.58 tff(f3856,plain,( 14.88/2.58 spl103_225 <=> subset(vertex,sF76,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_225])])). 14.88/2.58 tff(f2204,plain,( 14.88/2.58 subset(vertex,sF76,sF77) | (~spl103_58 | ~spl103_59)), 14.88/2.58 inference(forward_demodulation,[],[f2202,f1330])). 14.88/2.58 tff(f2202,plain,( 14.88/2.58 subset(vertex,t2tb(sF75),sF77) | ~spl103_58), 14.88/2.58 inference(superposition,[],[f1033,f1325])). 14.88/2.58 tff(f1033,plain,( 14.88/2.58 ( ! [X0 : vertex1] : (subset(vertex,t2tb(g_succ1(X0)),sF77)) )), 14.88/2.58 inference(forward_demodulation,[],[f531,f892])). 14.88/2.58 tff(f892,plain,( 14.88/2.58 t2tb(v1) = sF77), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f531,plain,( 14.88/2.58 ( ! [X0 : vertex1] : (subset(vertex,t2tb(g_succ1(X0)),t2tb(v1))) )), 14.88/2.58 inference(cnf_transformation,[],[f107])). 14.88/2.58 tff(f107,plain,( 14.88/2.58 ! [X0 : vertex1] : subset(vertex,t2tb(g_succ1(X0)),t2tb(v1))), 14.88/2.58 inference(rectify,[],[f50])). 14.88/2.58 tff(f50,axiom,( 14.88/2.58 ! [X7 : vertex1] : subset(vertex,t2tb(g_succ1(X7)),t2tb(v1))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_succ_sound)). 14.88/2.58 tff(f3854,plain,( 14.88/2.58 spl103_224 | ~spl103_40 | ~spl103_41), 14.88/2.58 inference(avatar_split_clause,[],[f2203,f1238,f1233,f3851])). 14.88/2.58 tff(f3851,plain,( 14.88/2.58 spl103_224 <=> subset(vertex,sF47,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_224])])). 14.88/2.58 tff(f2203,plain,( 14.88/2.58 subset(vertex,sF47,sF77) | (~spl103_40 | ~spl103_41)), 14.88/2.58 inference(forward_demodulation,[],[f2201,f1240])). 14.88/2.58 tff(f2201,plain,( 14.88/2.58 subset(vertex,t2tb(sF46),sF77) | ~spl103_40), 14.88/2.58 inference(superposition,[],[f1033,f1235])). 14.88/2.58 tff(f3845,plain,( 14.88/2.58 spl103_223 | ~spl103_71), 14.88/2.58 inference(avatar_split_clause,[],[f1920,f1388,f3842])). 14.88/2.58 tff(f3842,plain,( 14.88/2.58 spl103_223 <=> sort1(set(vertex),sF99)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_223])])). 14.88/2.58 tff(f1388,plain,( 14.88/2.58 spl103_71 <=> empty(vertex) = sF99), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_71])])). 14.88/2.58 tff(f1920,plain,( 14.88/2.58 sort1(set(vertex),sF99) | ~spl103_71), 14.88/2.58 inference(superposition,[],[f529,f1390])). 14.88/2.58 tff(f1390,plain,( 14.88/2.58 empty(vertex) = sF99 | ~spl103_71), 14.88/2.58 inference(avatar_component_clause,[],[f1388])). 14.88/2.58 tff(f529,plain,( 14.88/2.58 ( ! [X0 : ty] : (sort1(set(X0),empty(X0))) )), 14.88/2.58 inference(cnf_transformation,[],[f66])). 14.88/2.58 tff(f66,axiom,( 14.88/2.58 ! [X0 : ty] : sort1(set(X0),empty(X0))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_sort1)). 14.88/2.58 tff(f3840,plain,( 14.88/2.58 spl103_222 | ~spl103_59), 14.88/2.58 inference(avatar_split_clause,[],[f1919,f1328,f3837])). 14.88/2.58 tff(f3837,plain,( 14.88/2.58 spl103_222 <=> sort1(set(vertex),sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_222])])). 14.88/2.58 tff(f1919,plain,( 14.88/2.58 sort1(set(vertex),sF76) | ~spl103_59), 14.88/2.58 inference(superposition,[],[f528,f1330])). 14.88/2.58 tff(f3835,plain,( 14.88/2.58 spl103_221 | ~spl103_41), 14.88/2.58 inference(avatar_split_clause,[],[f1918,f1238,f3832])). 14.88/2.58 tff(f3832,plain,( 14.88/2.58 spl103_221 <=> sort1(set(vertex),sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_221])])). 14.88/2.58 tff(f1918,plain,( 14.88/2.58 sort1(set(vertex),sF47) | ~spl103_41), 14.88/2.58 inference(superposition,[],[f528,f1240])). 14.88/2.58 tff(f3830,plain,( 14.88/2.58 spl103_220 | ~spl103_38), 14.88/2.58 inference(avatar_split_clause,[],[f1917,f1223,f3827])). 14.88/2.58 tff(f3827,plain,( 14.88/2.58 spl103_220 <=> sort1(set(vertex),sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_220])])). 14.88/2.58 tff(f1917,plain,( 14.88/2.58 sort1(set(vertex),sF44) | ~spl103_38), 14.88/2.58 inference(superposition,[],[f528,f1225])). 14.88/2.58 tff(f3825,plain,( 14.88/2.58 spl103_219 | ~spl103_39), 14.88/2.58 inference(avatar_split_clause,[],[f1916,f1228,f3822])). 14.88/2.58 tff(f3822,plain,( 14.88/2.58 spl103_219 <=> sort1(set(vertex),sF45)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_219])])). 14.88/2.58 tff(f1228,plain,( 14.88/2.58 spl103_39 <=> t2tb(sK17) = sF45), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_39])])). 14.88/2.58 tff(f1916,plain,( 14.88/2.58 sort1(set(vertex),sF45) | ~spl103_39), 14.88/2.58 inference(superposition,[],[f528,f1230])). 14.88/2.58 tff(f1230,plain,( 14.88/2.58 t2tb(sK17) = sF45 | ~spl103_39), 14.88/2.58 inference(avatar_component_clause,[],[f1228])). 14.88/2.58 tff(f3820,plain,( 14.88/2.58 spl103_218 | ~spl103_55), 14.88/2.58 inference(avatar_split_clause,[],[f1914,f1308,f3817])). 14.88/2.58 tff(f3817,plain,( 14.88/2.58 spl103_218 <=> sort1(set(vertex),sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_218])])). 14.88/2.58 tff(f3815,plain,( 14.88/2.58 spl103_217 | ~spl103_37), 14.88/2.58 inference(avatar_split_clause,[],[f1913,f1218,f3812])). 14.88/2.58 tff(f3812,plain,( 14.88/2.58 spl103_217 <=> sort1(set(vertex),sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_217])])). 14.88/2.58 tff(f1218,plain,( 14.88/2.58 spl103_37 <=> t2tb(sK12) = sF43), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_37])])). 14.88/2.58 tff(f1913,plain,( 14.88/2.58 sort1(set(vertex),sF43) | ~spl103_37), 14.88/2.58 inference(superposition,[],[f528,f1220])). 14.88/2.58 tff(f1220,plain,( 14.88/2.58 t2tb(sK12) = sF43 | ~spl103_37), 14.88/2.58 inference(avatar_component_clause,[],[f1218])). 14.88/2.58 tff(f3810,plain,( 14.88/2.58 spl103_216 | ~spl103_62), 14.88/2.58 inference(avatar_split_clause,[],[f1912,f1343,f3807])). 14.88/2.58 tff(f3807,plain,( 14.88/2.58 spl103_216 <=> sort1(set(vertex),sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_216])])). 14.88/2.58 tff(f1343,plain,( 14.88/2.58 spl103_62 <=> t2tb(sK8) = sF81), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_62])])). 14.88/2.58 tff(f1912,plain,( 14.88/2.58 sort1(set(vertex),sF81) | ~spl103_62), 14.88/2.58 inference(superposition,[],[f528,f1345])). 14.88/2.58 tff(f1345,plain,( 14.88/2.58 t2tb(sK8) = sF81 | ~spl103_62), 14.88/2.58 inference(avatar_component_clause,[],[f1343])). 14.88/2.58 tff(f3805,plain,( 14.88/2.58 spl103_215 | ~spl103_65), 14.88/2.58 inference(avatar_split_clause,[],[f1911,f1358,f3802])). 14.88/2.58 tff(f3802,plain,( 14.88/2.58 spl103_215 <=> sort1(set(vertex),sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_215])])). 14.88/2.58 tff(f3800,plain,( 14.88/2.58 spl103_214 | ~spl103_68), 14.88/2.58 inference(avatar_split_clause,[],[f1910,f1373,f3797])). 14.88/2.58 tff(f3797,plain,( 14.88/2.58 spl103_214 <=> sort1(set(vertex),sF94)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_214])])). 14.88/2.58 tff(f1373,plain,( 14.88/2.58 spl103_68 <=> t2tb(sK5) = sF94), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_68])])). 14.88/2.58 tff(f1910,plain,( 14.88/2.58 sort1(set(vertex),sF94) | ~spl103_68), 14.88/2.58 inference(superposition,[],[f528,f1375])). 14.88/2.58 tff(f1375,plain,( 14.88/2.58 t2tb(sK5) = sF94 | ~spl103_68), 14.88/2.58 inference(avatar_component_clause,[],[f1373])). 14.88/2.58 tff(f3795,plain,( 14.88/2.58 spl103_213 | ~spl103_60), 14.88/2.58 inference(avatar_split_clause,[],[f1909,f1333,f3792])). 14.88/2.58 tff(f3792,plain,( 14.88/2.58 spl103_213 <=> sort1(set(vertex),sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_213])])). 14.88/2.58 tff(f1333,plain,( 14.88/2.58 spl103_60 <=> t2tb(v1) = sF77), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_60])])). 14.88/2.58 tff(f1909,plain,( 14.88/2.58 sort1(set(vertex),sF77) | ~spl103_60), 14.88/2.58 inference(superposition,[],[f528,f1335])). 14.88/2.58 tff(f1335,plain,( 14.88/2.58 t2tb(v1) = sF77 | ~spl103_60), 14.88/2.58 inference(avatar_component_clause,[],[f1333])). 14.88/2.58 tff(f3790,plain,( 14.88/2.58 spl103_212 | ~spl103_59), 14.88/2.58 inference(avatar_split_clause,[],[f1897,f1328,f3787])). 14.88/2.58 tff(f3787,plain,( 14.88/2.58 spl103_212 <=> sF75 = tb2t(sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_212])])). 14.88/2.58 tff(f1897,plain,( 14.88/2.58 sF75 = tb2t(sF76) | ~spl103_59), 14.88/2.58 inference(superposition,[],[f525,f1330])). 14.88/2.58 tff(f3785,plain,( 14.88/2.58 spl103_211 | ~spl103_41), 14.88/2.58 inference(avatar_split_clause,[],[f1896,f1238,f3782])). 14.88/2.58 tff(f3782,plain,( 14.88/2.58 spl103_211 <=> sF46 = tb2t(sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_211])])). 14.88/2.58 tff(f1896,plain,( 14.88/2.58 sF46 = tb2t(sF47) | ~spl103_41), 14.88/2.58 inference(superposition,[],[f525,f1240])). 14.88/2.58 tff(f3780,plain,( 14.88/2.58 spl103_210 | ~spl103_39), 14.88/2.58 inference(avatar_split_clause,[],[f1894,f1228,f3777])). 14.88/2.58 tff(f3777,plain,( 14.88/2.58 spl103_210 <=> sK17 = tb2t(sF45)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_210])])). 14.88/2.58 tff(f1894,plain,( 14.88/2.58 sK17 = tb2t(sF45) | ~spl103_39), 14.88/2.58 inference(superposition,[],[f525,f1230])). 14.88/2.58 tff(f3775,plain,( 14.88/2.58 spl103_209 | ~spl103_55), 14.88/2.58 inference(avatar_split_clause,[],[f1892,f1308,f3772])). 14.88/2.58 tff(f3772,plain,( 14.88/2.58 spl103_209 <=> sK13 = tb2t(sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_209])])). 14.88/2.58 tff(f1892,plain,( 14.88/2.58 sK13 = tb2t(sF70) | ~spl103_55), 14.88/2.58 inference(superposition,[],[f525,f1310])). 14.88/2.58 tff(f3770,plain,( 14.88/2.58 spl103_208 | ~spl103_37), 14.88/2.58 inference(avatar_split_clause,[],[f1891,f1218,f3767])). 14.88/2.58 tff(f3767,plain,( 14.88/2.58 spl103_208 <=> sK12 = tb2t(sF43)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_208])])). 14.88/2.58 tff(f1891,plain,( 14.88/2.58 sK12 = tb2t(sF43) | ~spl103_37), 14.88/2.58 inference(superposition,[],[f525,f1220])). 14.88/2.58 tff(f3765,plain,( 14.88/2.58 spl103_207 | ~spl103_62), 14.88/2.58 inference(avatar_split_clause,[],[f1890,f1343,f3762])). 14.88/2.58 tff(f3762,plain,( 14.88/2.58 spl103_207 <=> sK8 = tb2t(sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_207])])). 14.88/2.58 tff(f1890,plain,( 14.88/2.58 sK8 = tb2t(sF81) | ~spl103_62), 14.88/2.58 inference(superposition,[],[f525,f1345])). 14.88/2.58 tff(f3760,plain,( 14.88/2.58 spl103_206 | ~spl103_65), 14.88/2.58 inference(avatar_split_clause,[],[f1889,f1358,f3757])). 14.88/2.58 tff(f3757,plain,( 14.88/2.58 spl103_206 <=> sK6 = tb2t(sF87)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_206])])). 14.88/2.58 tff(f1889,plain,( 14.88/2.58 sK6 = tb2t(sF87) | ~spl103_65), 14.88/2.58 inference(superposition,[],[f525,f1360])). 14.88/2.58 tff(f3755,plain,( 14.88/2.58 spl103_205 | ~spl103_68), 14.88/2.58 inference(avatar_split_clause,[],[f1888,f1373,f3752])). 14.88/2.58 tff(f3752,plain,( 14.88/2.58 spl103_205 <=> sK5 = tb2t(sF94)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_205])])). 14.88/2.58 tff(f1888,plain,( 14.88/2.58 sK5 = tb2t(sF94) | ~spl103_68), 14.88/2.58 inference(superposition,[],[f525,f1375])). 14.88/2.58 tff(f3750,plain,( 14.88/2.58 spl103_204 | ~spl103_60), 14.88/2.58 inference(avatar_split_clause,[],[f1887,f1333,f3747])). 14.88/2.58 tff(f3747,plain,( 14.88/2.58 spl103_204 <=> v1 = tb2t(sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_204])])). 14.88/2.58 tff(f1887,plain,( 14.88/2.58 v1 = tb2t(sF77) | ~spl103_60), 14.88/2.58 inference(superposition,[],[f525,f1335])). 14.88/2.58 tff(f3745,plain,( 14.88/2.58 spl103_203 | ~spl103_64), 14.88/2.58 inference(avatar_split_clause,[],[f1870,f1353,f3742])). 14.88/2.58 tff(f3742,plain,( 14.88/2.58 spl103_203 <=> sF85 = t2tb3(sF86)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_203])])). 14.88/2.58 tff(f1870,plain,( 14.88/2.58 sF85 = t2tb3(sF86) | ~spl103_64), 14.88/2.58 inference(superposition,[],[f524,f1355])). 14.88/2.58 tff(f3740,plain,( 14.88/2.58 spl103_202 | ~spl103_54), 14.88/2.58 inference(avatar_split_clause,[],[f1868,f1303,f3737])). 14.88/2.58 tff(f3737,plain,( 14.88/2.58 spl103_202 <=> sF68 = t2tb3(sF69)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_202])])). 14.88/2.58 tff(f1868,plain,( 14.88/2.58 sF68 = t2tb3(sF69) | ~spl103_54), 14.88/2.58 inference(superposition,[],[f524,f1305])). 14.88/2.58 tff(f3735,plain,( 14.88/2.58 spl103_201 | ~spl103_50), 14.88/2.58 inference(avatar_split_clause,[],[f1867,f1283,f3732])). 14.88/2.58 tff(f3732,plain,( 14.88/2.58 spl103_201 <=> sF60 = t2tb3(sF61)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_201])])). 14.88/2.58 tff(f1867,plain,( 14.88/2.58 sF60 = t2tb3(sF61) | ~spl103_50), 14.88/2.58 inference(superposition,[],[f524,f1285])). 14.88/2.58 tff(f3730,plain,( 14.88/2.58 spl103_200 | ~spl103_47), 14.88/2.58 inference(avatar_split_clause,[],[f1866,f1268,f3727])). 14.88/2.58 tff(f3727,plain,( 14.88/2.58 spl103_200 <=> sF56 = t2tb3(sF57)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_200])])). 14.88/2.58 tff(f1866,plain,( 14.88/2.58 sF56 = t2tb3(sF57) | ~spl103_47), 14.88/2.58 inference(superposition,[],[f524,f1270])). 14.88/2.58 tff(f3725,plain,( 14.88/2.58 spl103_199 | ~spl103_45), 14.88/2.58 inference(avatar_split_clause,[],[f1865,f1258,f3722])). 14.88/2.58 tff(f1865,plain,( 14.88/2.58 sF51 = t2tb3(sF52) | ~spl103_45), 14.88/2.58 inference(superposition,[],[f524,f1260])). 14.88/2.58 tff(f3720,plain,( 14.88/2.58 spl103_198 | ~spl103_43), 14.88/2.58 inference(avatar_split_clause,[],[f1859,f1248,f3717])). 14.88/2.58 tff(f3717,plain,( 14.88/2.58 spl103_198 <=> sK20 = tb2t1(sF49)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_198])])). 14.88/2.58 tff(f1859,plain,( 14.88/2.58 sK20 = tb2t1(sF49) | ~spl103_43), 14.88/2.58 inference(superposition,[],[f523,f1250])). 14.88/2.58 tff(f523,plain,( 14.88/2.58 ( ! [X0 : map_vertex_int] : (tb2t1(t2tb1(X0)) = X0) )), 14.88/2.58 inference(cnf_transformation,[],[f100])). 14.88/2.58 tff(f100,plain,( 14.88/2.58 ! [X0 : map_vertex_int] : tb2t1(t2tb1(X0)) = X0), 14.88/2.58 inference(rectify,[],[f49])). 14.88/2.58 tff(f49,axiom,( 14.88/2.58 ! [X19 : map_vertex_int] : tb2t1(t2tb1(X19)) = X19), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1)). 14.88/2.58 tff(f3715,plain,( 14.88/2.58 spl103_197 | ~spl103_49), 14.88/2.58 inference(avatar_split_clause,[],[f1858,f1278,f3712])). 14.88/2.58 tff(f3712,plain,( 14.88/2.58 spl103_197 <=> sK15 = tb2t1(sF59)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_197])])). 14.88/2.58 tff(f1858,plain,( 14.88/2.58 sK15 = tb2t1(sF59) | ~spl103_49), 14.88/2.58 inference(superposition,[],[f523,f1280])). 14.88/2.58 tff(f3710,plain,( 14.88/2.58 spl103_196 | ~spl103_63), 14.88/2.58 inference(avatar_split_clause,[],[f1857,f1348,f3707])). 14.88/2.58 tff(f3707,plain,( 14.88/2.58 spl103_196 <=> sK7 = tb2t1(sF84)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_196])])). 14.88/2.58 tff(f1348,plain,( 14.88/2.58 spl103_63 <=> t2tb1(sK7) = sF84), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_63])])). 14.88/2.58 tff(f1857,plain,( 14.88/2.58 sK7 = tb2t1(sF84) | ~spl103_63), 14.88/2.58 inference(superposition,[],[f523,f1350])). 14.88/2.58 tff(f1350,plain,( 14.88/2.58 t2tb1(sK7) = sF84 | ~spl103_63), 14.88/2.58 inference(avatar_component_clause,[],[f1348])). 14.88/2.58 tff(f3705,plain,( 14.88/2.58 spl103_195 | ~spl103_69), 14.88/2.58 inference(avatar_split_clause,[],[f1856,f1378,f3702])). 14.88/2.58 tff(f3702,plain,( 14.88/2.58 spl103_195 <=> sK2 = tb2t1(sF95)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_195])])). 14.88/2.58 tff(f1378,plain,( 14.88/2.58 spl103_69 <=> t2tb1(sK2) = sF95), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_69])])). 14.88/2.58 tff(f1856,plain,( 14.88/2.58 sK2 = tb2t1(sF95) | ~spl103_69), 14.88/2.58 inference(superposition,[],[f523,f1380])). 14.88/2.58 tff(f1380,plain,( 14.88/2.58 t2tb1(sK2) = sF95 | ~spl103_69), 14.88/2.58 inference(avatar_component_clause,[],[f1378])). 14.88/2.58 tff(f3700,plain,( 14.88/2.58 spl103_194 | ~spl103_67), 14.88/2.58 inference(avatar_split_clause,[],[f1855,f1368,f3697])). 14.88/2.58 tff(f3697,plain,( 14.88/2.58 spl103_194 <=> sK26 = tb2t2(sF91)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_194])])). 14.88/2.58 tff(f1855,plain,( 14.88/2.58 sK26 = tb2t2(sF91) | ~spl103_67), 14.88/2.58 inference(superposition,[],[f522,f1370])). 14.88/2.58 tff(f522,plain,( 14.88/2.58 ( ! [X0 : vertex1] : (tb2t2(t2tb2(X0)) = X0) )), 14.88/2.58 inference(cnf_transformation,[],[f99])). 14.88/2.58 tff(f99,plain,( 14.88/2.58 ! [X0 : vertex1] : tb2t2(t2tb2(X0)) = X0), 14.88/2.58 inference(rectify,[],[f22])). 14.88/2.58 tff(f22,axiom,( 14.88/2.58 ! [X19 : vertex1] : tb2t2(t2tb2(X19)) = X19), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2)). 14.88/2.58 tff(f3695,plain,( 14.88/2.58 spl103_193 | ~spl103_66), 14.88/2.58 inference(avatar_split_clause,[],[f1854,f1363,f3692])). 14.88/2.58 tff(f3692,plain,( 14.88/2.58 spl103_193 <=> sK25 = tb2t2(sF90)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_193])])). 14.88/2.58 tff(f1854,plain,( 14.88/2.58 sK25 = tb2t2(sF90) | ~spl103_66), 14.88/2.58 inference(superposition,[],[f522,f1365])). 14.88/2.58 tff(f3684,plain,( 14.88/2.58 spl103_192 | ~spl103_57), 14.88/2.58 inference(avatar_split_clause,[],[f1853,f1318,f3681])). 14.88/2.58 tff(f3681,plain,( 14.88/2.58 spl103_192 <=> sK24 = tb2t2(sF74)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_192])])). 14.88/2.58 tff(f1853,plain,( 14.88/2.58 sK24 = tb2t2(sF74) | ~spl103_57), 14.88/2.58 inference(superposition,[],[f522,f1320])). 14.88/2.58 tff(f3679,plain,( 14.88/2.58 spl103_191 | ~spl103_56), 14.88/2.58 inference(avatar_split_clause,[],[f1852,f1313,f3676])). 14.88/2.58 tff(f3676,plain,( 14.88/2.58 spl103_191 <=> sK23 = tb2t2(sF73)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_191])])). 14.88/2.58 tff(f1852,plain,( 14.88/2.58 sK23 = tb2t2(sF73) | ~spl103_56), 14.88/2.58 inference(superposition,[],[f522,f1315])). 14.88/2.58 tff(f3669,plain,( 14.88/2.58 spl103_190 | ~spl103_36), 14.88/2.58 inference(avatar_split_clause,[],[f1851,f1213,f3666])). 14.88/2.58 tff(f3666,plain,( 14.88/2.58 spl103_190 <=> sK22 = tb2t2(sF42)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_190])])). 14.88/2.58 tff(f1851,plain,( 14.88/2.58 sK22 = tb2t2(sF42) | ~spl103_36), 14.88/2.58 inference(superposition,[],[f522,f1215])). 14.88/2.58 tff(f3664,plain,( 14.88/2.58 spl103_189 | ~spl103_42), 14.88/2.58 inference(avatar_split_clause,[],[f1850,f1243,f3661])). 14.88/2.58 tff(f3661,plain,( 14.88/2.58 spl103_189 <=> sK21 = tb2t2(sF48)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_189])])). 14.88/2.58 tff(f1850,plain,( 14.88/2.58 sK21 = tb2t2(sF48) | ~spl103_42), 14.88/2.58 inference(superposition,[],[f522,f1245])). 14.88/2.58 tff(f3659,plain,( 14.88/2.58 ~spl103_188 | ~spl103_182), 14.88/2.58 inference(avatar_split_clause,[],[f3629,f3553,f3656])). 14.88/2.58 tff(f3629,plain,( 14.88/2.58 ~$less(sF61,0) | ~spl103_182), 14.88/2.58 inference(resolution,[],[f3555,f581])). 14.88/2.58 tff(f3654,plain,( 14.88/2.58 spl103_187 | ~spl103_46), 14.88/2.58 inference(avatar_split_clause,[],[f1849,f1263,f3651])). 14.88/2.58 tff(f3651,plain,( 14.88/2.58 spl103_187 <=> sK18 = tb2t2(sF55)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_187])])). 14.88/2.58 tff(f1849,plain,( 14.88/2.58 sK18 = tb2t2(sF55) | ~spl103_46), 14.88/2.58 inference(superposition,[],[f522,f1265])). 14.88/2.58 tff(f3649,plain,( 14.88/2.58 spl103_186 | ~spl103_44), 14.88/2.58 inference(avatar_split_clause,[],[f1848,f1253,f3646])). 14.88/2.58 tff(f1848,plain,( 14.88/2.58 sK11 = tb2t2(sF50) | ~spl103_44), 14.88/2.58 inference(superposition,[],[f522,f1255])). 14.88/2.58 tff(f3644,plain,( 14.88/2.58 ~spl103_185 | ~spl103_182), 14.88/2.58 inference(avatar_split_clause,[],[f3628,f3553,f3641])). 14.88/2.58 tff(f3628,plain,( 14.88/2.58 ~$less(sF61,sF86) | ~spl103_182), 14.88/2.58 inference(resolution,[],[f3555,f907])). 14.88/2.58 tff(f3639,plain,( 14.88/2.58 spl103_184 | ~spl103_72), 14.88/2.58 inference(avatar_split_clause,[],[f1847,f1393,f3636])). 14.88/2.58 tff(f3636,plain,( 14.88/2.58 spl103_184 <=> sK1 = tb2t2(sF102)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_184])])). 14.88/2.58 tff(f1847,plain,( 14.88/2.58 sK1 = tb2t2(sF102) | ~spl103_72), 14.88/2.58 inference(superposition,[],[f522,f1395])). 14.88/2.58 tff(f3634,plain,( 14.88/2.58 spl103_183 | ~spl103_61), 14.88/2.58 inference(avatar_split_clause,[],[f1846,f1338,f3631])). 14.88/2.58 tff(f3631,plain,( 14.88/2.58 spl103_183 <=> sK0 = tb2t2(sF78)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_183])])). 14.88/2.58 tff(f1846,plain,( 14.88/2.58 sK0 = tb2t2(sF78) | ~spl103_61), 14.88/2.58 inference(superposition,[],[f522,f1340])). 14.88/2.58 tff(f3556,plain,( 14.88/2.58 spl103_182 | ~spl103_178), 14.88/2.58 inference(avatar_split_clause,[],[f3449,f3258,f3553])). 14.88/2.58 tff(f3258,plain,( 14.88/2.58 spl103_178 <=> shortest_path1(sK0,sK11,sF61)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_178])])). 14.88/2.58 tff(f3449,plain,( 14.88/2.58 path1(sK0,sK11,sF61) | ~spl103_178), 14.88/2.58 inference(resolution,[],[f3260,f611])). 14.88/2.58 tff(f611,plain,( 14.88/2.58 ( ! [X2 : $int,X0 : vertex1,X1 : vertex1] : (~shortest_path1(X0,X1,X2) | path1(X0,X1,X2)) )), 14.88/2.58 inference(cnf_transformation,[],[f205])). 14.88/2.58 tff(f205,plain,( 14.88/2.58 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : ((! [X3 : $int] : (~$less(X3,X2) | ~path1(X0,X1,X3)) & path1(X0,X1,X2)) | ~shortest_path1(X0,X1,X2))), 14.88/2.58 inference(ennf_transformation,[],[f168])). 14.88/2.58 tff(f168,plain,( 14.88/2.58 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : (shortest_path1(X0,X1,X2) => (! [X3 : $int] : (path1(X0,X1,X3) => ~$less(X3,X2)) & path1(X0,X1,X2)))), 14.88/2.58 inference(unused_predicate_definition_removal,[],[f149])). 14.88/2.58 tff(f149,plain,( 14.88/2.58 ! [X0 : vertex1,X1 : vertex1,X2 : $int] : ((! [X3 : $int] : (path1(X0,X1,X3) => ~$less(X3,X2)) & path1(X0,X1,X2)) <=> shortest_path1(X0,X1,X2))), 14.88/2.58 inference(rectify,[],[f89])). 14.88/2.58 tff(f89,plain,( 14.88/2.58 ! [X7 : vertex1,X14 : vertex1,X11 : $int] : ((! [X20 : $int] : (path1(X7,X14,X20) => ~$less(X20,X11)) & path1(X7,X14,X11)) <=> shortest_path1(X7,X14,X11))), 14.88/2.58 inference(theory_normalization,[],[f23])). 14.88/2.58 tff(f23,axiom,( 14.88/2.58 ! [X7 : vertex1,X14 : vertex1,X11 : $int] : ((! [X20 : $int] : (path1(X7,X14,X20) => $lesseq(X11,X20)) & path1(X7,X14,X11)) <=> shortest_path1(X7,X14,X11))), 14.88/2.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',shortest_path_def)). 14.88/2.58 tff(f3260,plain,( 14.88/2.58 shortest_path1(sK0,sK11,sF61) | ~spl103_178), 14.88/2.58 inference(avatar_component_clause,[],[f3258])). 14.88/2.58 tff(f3520,plain,( 14.88/2.58 ~spl103_181 | ~spl103_179), 14.88/2.58 inference(avatar_split_clause,[],[f3499,f3300,f3517])). 14.88/2.58 tff(f3499,plain,( 14.88/2.58 ~$less(sF69,0) | ~spl103_179), 14.88/2.58 inference(resolution,[],[f3302,f581])). 14.88/2.58 tff(f3369,plain,( 14.88/2.58 ~spl103_180 | ~spl103_169), 14.88/2.58 inference(avatar_split_clause,[],[f3342,f2979,f3366])). 14.88/2.58 tff(f3366,plain,( 14.88/2.58 spl103_180 <=> is_empty(vertex,sF66)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_180])])). 14.88/2.58 tff(f3342,plain,( 14.88/2.58 ~is_empty(vertex,sF66) | ~spl103_169), 14.88/2.58 inference(resolution,[],[f2981,f544])). 14.88/2.58 tff(f3303,plain,( 14.88/2.58 spl103_179 | ~spl103_38 | ~spl103_46 | ~spl103_48 | ~spl103_54 | ~spl103_87 | ~spl103_111 | ~spl103_145), 14.88/2.58 inference(avatar_split_clause,[],[f2938,f2511,f2056,f1496,f1303,f1273,f1263,f1223,f3300])). 14.88/2.58 tff(f2938,plain,( 14.88/2.58 path1(sK0,sK18,sF69) | (~spl103_38 | ~spl103_46 | ~spl103_48 | ~spl103_54 | ~spl103_87 | ~spl103_111 | ~spl103_145)), 14.88/2.58 inference(global_subsumption,[],[f2057,f2937])). 14.88/2.58 tff(f2937,plain,( 14.88/2.58 path1(sK0,sK18,sF69) | ~mem(vertex,sF55,sF44) | (~spl103_38 | ~spl103_46 | ~spl103_48 | ~spl103_54 | ~spl103_87 | ~spl103_145)), 14.88/2.58 inference(forward_demodulation,[],[f2936,f1305])). 14.88/2.58 tff(f2936,plain,( 14.88/2.58 path1(sK0,sK18,tb2t3(sF68)) | ~mem(vertex,sF55,sF44) | (~spl103_38 | ~spl103_46 | ~spl103_48 | ~spl103_87 | ~spl103_145)), 14.88/2.58 inference(forward_demodulation,[],[f2926,f2513])). 14.88/2.58 tff(f2926,plain,( 14.88/2.58 path1(sK0,sK18,tb2t3(get(int,vertex,sF59,sF55))) | ~mem(vertex,sF55,sF44) | (~spl103_38 | ~spl103_46 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(superposition,[],[f2679,f1265])). 14.88/2.58 tff(f2679,plain,( 14.88/2.58 ( ! [X26 : vertex1] : (path1(sK0,X26,tb2t3(get(int,vertex,sF59,t2tb2(X26)))) | ~mem(vertex,t2tb2(X26),sF44)) ) | (~spl103_38 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f883,f2678])). 14.88/2.58 tff(f3261,plain,( 14.88/2.58 spl103_178 | ~spl103_44 | ~spl103_50 | ~spl103_144 | ~spl103_159), 14.88/2.58 inference(avatar_split_clause,[],[f2882,f2736,f2506,f1283,f1253,f3258])). 14.88/2.58 tff(f2882,plain,( 14.88/2.58 shortest_path1(sK0,sK11,sF61) | (~spl103_44 | ~spl103_50 | ~spl103_144 | ~spl103_159)), 14.88/2.58 inference(global_subsumption,[],[f1416,f2787,f2881])). 14.88/2.58 tff(f2881,plain,( 14.88/2.58 shortest_path1(sK0,sK11,sF61) | ~mem(vertex,sF50,sF43) | (~spl103_44 | ~spl103_50 | ~spl103_144)), 14.88/2.58 inference(forward_demodulation,[],[f2880,f1285])). 14.88/2.58 tff(f2880,plain,( 14.88/2.58 shortest_path1(sK0,sK11,tb2t3(sF60)) | ~mem(vertex,sF50,sF43) | (~spl103_44 | ~spl103_144)), 14.88/2.58 inference(forward_demodulation,[],[f2870,f2508])). 14.88/2.58 tff(f2870,plain,( 14.88/2.58 shortest_path1(sK0,sK11,tb2t3(get(int,vertex,sF59,sF50))) | ~mem(vertex,sF50,sF43) | ~spl103_44), 14.88/2.58 inference(superposition,[],[f890,f1255])). 14.88/2.58 tff(f1416,plain,( 14.88/2.58 sort1(vertex,sF50) | ~spl103_44), 14.88/2.58 inference(superposition,[],[f519,f1255])). 14.88/2.58 tff(f3151,plain,( 14.88/2.58 ~spl103_177 | ~spl103_38 | ~spl103_44 | ~spl103_48 | ~spl103_76 | ~spl103_87 | ~spl103_159), 14.88/2.58 inference(avatar_split_clause,[],[f2791,f2736,f1496,f1421,f1273,f1253,f1223,f3148])). 14.88/2.58 tff(f3148,plain,( 14.88/2.58 spl103_177 <=> mem(vertex,sF50,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_177])])). 14.88/2.58 tff(f2791,plain,( 14.88/2.58 ~mem(vertex,sF50,sF44) | (~spl103_38 | ~spl103_44 | ~spl103_48 | ~spl103_76 | ~spl103_87 | ~spl103_159)), 14.88/2.58 inference(subsumption_resolution,[],[f2688,f2790])). 14.88/2.58 tff(f2688,plain,( 14.88/2.58 ~mem(vertex,sF50,sF44) | ~mem(vertex,sF50,sF43) | (~spl103_38 | ~spl103_44 | ~spl103_48 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f2542,f2678])). 14.88/2.58 tff(f3073,plain,( 14.88/2.58 ~spl103_176 | spl103_85 | ~spl103_120 | ~spl103_172), 14.88/2.58 inference(avatar_split_clause,[],[f3029,f3023,f2125,f1486,f3070])). 14.88/2.58 tff(f3029,plain,( 14.88/2.58 sF52 != sF61 | (spl103_85 | ~spl103_120 | ~spl103_172)), 14.88/2.58 inference(global_subsumption,[],[f1487,f3027])). 14.88/2.58 tff(f3027,plain,( 14.88/2.58 sF54 = sF57 | sF52 != sF61 | (~spl103_120 | ~spl103_172)), 14.88/2.58 inference(constrained_superposition,[],[f3025,f2127])). 14.88/2.58 tff(f1487,plain,( 14.88/2.58 sF54 != sF57 | spl103_85), 14.88/2.58 inference(avatar_component_clause,[],[f1486])). 14.88/2.58 tff(f3046,plain,( 14.88/2.58 spl103_175 | ~spl103_47 | ~spl103_51 | ~spl103_78 | ~spl103_134 | ~spl103_143), 14.88/2.58 inference(avatar_split_clause,[],[f3008,f2501,f2211,f1432,f1288,f1268,f3043])). 14.88/2.58 tff(f3039,plain,( 14.88/2.58 spl103_174 | ~spl103_78 | ~spl103_134 | ~spl103_143), 14.88/2.58 inference(avatar_split_clause,[],[f3004,f2501,f2211,f1432,f3036])). 14.88/2.58 tff(f3004,plain,( 14.88/2.58 sF49 = set1(int,vertex,sF59,sF55,sF56) | (~spl103_78 | ~spl103_134 | ~spl103_143)), 14.88/2.58 inference(backward_demodulation,[],[f2213,f3002])). 14.88/2.58 tff(f3034,plain,( 14.88/2.58 spl103_173 | ~spl103_78 | ~spl103_134 | ~spl103_143), 14.88/2.58 inference(avatar_split_clause,[],[f3002,f2501,f2211,f1432,f3031])). 14.88/2.58 tff(f3031,plain,( 14.88/2.58 spl103_173 <=> sF56 = sF63), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_173])])). 14.88/2.58 tff(f3026,plain,( 14.88/2.58 spl103_172 | ~spl103_47 | ~spl103_51 | ~spl103_78 | ~spl103_121 | ~spl103_134 | ~spl103_143), 14.88/2.58 inference(avatar_split_clause,[],[f3010,f2501,f2211,f2130,f1432,f1288,f1268,f3023])). 14.88/2.58 tff(f2130,plain,( 14.88/2.58 spl103_121 <=> $sum(sF61,sF53) = sF62), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_121])])). 14.88/2.58 tff(f3010,plain,( 14.88/2.58 sF57 = $sum(sF61,sF53) | (~spl103_47 | ~spl103_51 | ~spl103_78 | ~spl103_121 | ~spl103_134 | ~spl103_143)), 14.88/2.58 inference(backward_demodulation,[],[f2132,f3008])). 14.88/2.58 tff(f2132,plain,( 14.88/2.58 $sum(sF61,sF53) = sF62 | ~spl103_121), 14.88/2.58 inference(avatar_component_clause,[],[f2130])). 14.88/2.58 tff(f3020,plain,( 14.88/2.58 spl103_171 | ~spl103_47 | ~spl103_51 | ~spl103_78 | ~spl103_98 | ~spl103_134 | ~spl103_143), 14.88/2.58 inference(avatar_split_clause,[],[f3009,f2501,f2211,f1750,f1432,f1288,f1268,f3017])). 14.88/2.58 tff(f3009,plain,( 14.88/2.58 $less(sF57,sF69) | (~spl103_47 | ~spl103_51 | ~spl103_78 | ~spl103_98 | ~spl103_134 | ~spl103_143)), 14.88/2.58 inference(backward_demodulation,[],[f1752,f3008])). 14.88/2.58 tff(f2996,plain,( 14.88/2.58 spl103_170 | ~spl103_76 | ~spl103_159), 14.88/2.58 inference(avatar_split_clause,[],[f2790,f2736,f1421,f2993])). 14.88/2.58 tff(f2982,plain,( 14.88/2.58 spl103_169 | ~spl103_77 | ~spl103_114), 14.88/2.58 inference(avatar_split_clause,[],[f2789,f2077,f1426,f2979])). 14.88/2.58 tff(f2789,plain,( 14.88/2.58 mem(vertex,sF55,sF66) | (~spl103_77 | ~spl103_114)), 14.88/2.58 inference(global_subsumption,[],[f1428,f2786])). 14.88/2.58 tff(f2786,plain,( 14.88/2.58 mem(vertex,sF55,sF66) | ~sort1(vertex,sF55) | ~spl103_114), 14.88/2.58 inference(superposition,[],[f947,f2079])). 14.88/2.58 tff(f2973,plain,( 14.88/2.58 ~spl103_168 | ~spl103_77 | ~spl103_157), 14.88/2.58 inference(avatar_split_clause,[],[f2783,f2726,f1426,f2970])). 14.88/2.58 tff(f2970,plain,( 14.88/2.58 spl103_168 <=> mem(vertex,sF55,sF45)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_168])])). 14.88/2.58 tff(f2783,plain,( 14.88/2.58 ~mem(vertex,sF55,sF45) | (~spl103_77 | ~spl103_157)), 14.88/2.58 inference(global_subsumption,[],[f1428,f2781])). 14.88/2.58 tff(f2781,plain,( 14.88/2.58 ~mem(vertex,sF55,sF45) | ~sort1(vertex,sF55) | ~spl103_157), 14.88/2.58 inference(superposition,[],[f946,f2728])). 14.88/2.58 tff(f2949,plain,( 14.88/2.58 ~spl103_167 | ~spl103_38 | ~spl103_48 | ~spl103_87 | spl103_150), 14.88/2.58 inference(avatar_split_clause,[],[f2693,f2575,f1496,f1273,f1223,f2946])). 14.88/2.58 tff(f2946,plain,( 14.88/2.58 spl103_167 <=> mem(vertex,sF48,sF44)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_167])])). 14.88/2.58 tff(f2575,plain,( 14.88/2.58 spl103_150 <=> mem(vertex,sF48,sF58)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_150])])). 14.88/2.58 tff(f2693,plain,( 14.88/2.58 ~mem(vertex,sF48,sF44) | (~spl103_38 | ~spl103_48 | ~spl103_87 | spl103_150)), 14.88/2.58 inference(backward_demodulation,[],[f2577,f2678])). 14.88/2.58 tff(f2577,plain,( 14.88/2.58 ~mem(vertex,sF48,sF58) | spl103_150), 14.88/2.58 inference(avatar_component_clause,[],[f2575])). 14.88/2.58 tff(f2884,plain,( 14.88/2.58 spl103_136 | ~spl103_38 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2676,f1496,f1223,f2413])). 14.88/2.58 tff(f2676,plain,( 14.88/2.58 sK14 = tb2t(sF44) | (~spl103_38 | ~spl103_87)), 14.88/2.58 inference(backward_demodulation,[],[f1895,f2675])). 14.88/2.58 tff(f1895,plain,( 14.88/2.58 sK19 = tb2t(sF44) | ~spl103_38), 14.88/2.58 inference(superposition,[],[f525,f1225])). 14.88/2.58 tff(f2861,plain,( 14.88/2.58 spl103_166 | ~spl103_35 | ~spl103_132), 14.88/2.58 inference(avatar_split_clause,[],[f2640,f2197,f1208,f2858])). 14.88/2.58 tff(f2858,plain,( 14.88/2.58 spl103_166 <=> sF100 = t2tb(sK3)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_166])])). 14.88/2.58 tff(f1208,plain,( 14.88/2.58 spl103_35 <=> sK3 = tb2t(sF100)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_35])])). 14.88/2.58 tff(f2640,plain,( 14.88/2.58 sF100 = t2tb(sK3) | (~spl103_35 | ~spl103_132)), 14.88/2.58 inference(global_subsumption,[],[f2467,f2619])). 14.88/2.58 tff(f2619,plain,( 14.88/2.58 sF100 = t2tb(sK3) | ~sort1(set(vertex),sF100) | ~spl103_35), 14.88/2.58 inference(superposition,[],[f534,f1210])). 14.88/2.58 tff(f1210,plain,( 14.88/2.58 sK3 = tb2t(sF100) | ~spl103_35), 14.88/2.58 inference(avatar_component_clause,[],[f1208])). 14.88/2.58 tff(f2851,plain,( 14.88/2.58 spl103_165 | ~spl103_31 | ~spl103_131), 14.88/2.58 inference(avatar_split_clause,[],[f2639,f2192,f1188,f2848])). 14.88/2.58 tff(f2848,plain,( 14.88/2.58 spl103_165 <=> sF88 = t2tb(sK10)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_165])])). 14.88/2.58 tff(f1188,plain,( 14.88/2.58 spl103_31 <=> sK10 = tb2t(sF88)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_31])])). 14.88/2.58 tff(f2639,plain,( 14.88/2.58 sF88 = t2tb(sK10) | (~spl103_31 | ~spl103_131)), 14.88/2.58 inference(global_subsumption,[],[f2477,f2618])). 14.88/2.58 tff(f2618,plain,( 14.88/2.58 sF88 = t2tb(sK10) | ~sort1(set(vertex),sF88) | ~spl103_31), 14.88/2.58 inference(superposition,[],[f534,f1190])). 14.88/2.58 tff(f1190,plain,( 14.88/2.58 sK10 = tb2t(sF88) | ~spl103_31), 14.88/2.58 inference(avatar_component_clause,[],[f1188])). 14.88/2.58 tff(f2841,plain,( 14.88/2.58 spl103_164 | ~spl103_28 | ~spl103_39 | ~spl103_128), 14.88/2.58 inference(avatar_split_clause,[],[f2630,f2177,f1228,f1173,f2838])). 14.88/2.58 tff(f2838,plain,( 14.88/2.58 spl103_164 <=> subset(vertex,sF45,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_164])])). 14.88/2.58 tff(f1173,plain,( 14.88/2.58 spl103_28 <=> sK17 = tb2t(sF71)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_28])])). 14.88/2.58 tff(f2177,plain,( 14.88/2.58 spl103_128 <=> remove(vertex,sF55,sF70) = sF71), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_128])])). 14.88/2.58 tff(f2630,plain,( 14.88/2.58 subset(vertex,sF45,sF70) | (~spl103_28 | ~spl103_39 | ~spl103_128)), 14.88/2.58 inference(backward_demodulation,[],[f2483,f2629])). 14.88/2.58 tff(f2629,plain,( 14.88/2.58 sF45 = sF71 | (~spl103_28 | ~spl103_39 | ~spl103_128)), 14.88/2.58 inference(global_subsumption,[],[f2476,f2628])). 14.88/2.58 tff(f2628,plain,( 14.88/2.58 sF45 = sF71 | ~sort1(set(vertex),sF71) | (~spl103_28 | ~spl103_39)), 14.88/2.58 inference(forward_demodulation,[],[f2616,f1230])). 14.88/2.58 tff(f2616,plain,( 14.88/2.58 t2tb(sK17) = sF71 | ~sort1(set(vertex),sF71) | ~spl103_28), 14.88/2.58 inference(superposition,[],[f534,f1175])). 14.88/2.58 tff(f1175,plain,( 14.88/2.58 sK17 = tb2t(sF71) | ~spl103_28), 14.88/2.58 inference(avatar_component_clause,[],[f1173])). 14.88/2.58 tff(f2476,plain,( 14.88/2.58 sort1(set(vertex),sF71) | ~spl103_128), 14.88/2.58 inference(superposition,[],[f558,f2179])). 14.88/2.58 tff(f2179,plain,( 14.88/2.58 remove(vertex,sF55,sF70) = sF71 | ~spl103_128), 14.88/2.58 inference(avatar_component_clause,[],[f2177])). 14.88/2.58 tff(f2483,plain,( 14.88/2.58 subset(vertex,sF71,sF70) | ~spl103_128), 14.88/2.58 inference(superposition,[],[f560,f2179])). 14.88/2.58 tff(f2798,plain,( 14.88/2.58 ~spl103_163 | ~spl103_151), 14.88/2.58 inference(avatar_split_clause,[],[f2779,f2598,f2795])). 14.88/2.58 tff(f2795,plain,( 14.88/2.58 spl103_163 <=> is_empty(vertex,sF76)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_163])])). 14.88/2.58 tff(f2779,plain,( 14.88/2.58 ~is_empty(vertex,sF76) | ~spl103_151), 14.88/2.58 inference(resolution,[],[f2600,f544])). 14.88/2.58 tff(f2774,plain,( 14.88/2.58 ~spl103_162 | ~spl103_67), 14.88/2.58 inference(avatar_split_clause,[],[f2591,f1368,f2771])). 14.88/2.58 tff(f2771,plain,( 14.88/2.58 spl103_162 <=> mem(vertex,sF91,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_162])])). 14.88/2.58 tff(f2591,plain,( 14.88/2.58 ~mem(vertex,sF91,sF81) | ~spl103_67), 14.88/2.58 inference(global_subsumption,[],[f1029,f2588])). 14.88/2.58 tff(f2588,plain,( 14.88/2.58 ~mem(vertex,sF91,sF87) | ~mem(vertex,sF91,sF81) | ~spl103_67), 14.88/2.58 inference(superposition,[],[f921,f1370])). 14.88/2.58 tff(f2768,plain,( 14.88/2.58 ~spl103_161 | ~spl103_66), 14.88/2.58 inference(avatar_split_clause,[],[f2590,f1363,f2765])). 14.88/2.58 tff(f2765,plain,( 14.88/2.58 spl103_161 <=> mem(vertex,sF90,sF81)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_161])])). 14.88/2.58 tff(f2590,plain,( 14.88/2.58 ~mem(vertex,sF90,sF81) | ~spl103_66), 14.88/2.58 inference(global_subsumption,[],[f916,f2587])). 14.88/2.58 tff(f2587,plain,( 14.88/2.58 ~mem(vertex,sF90,sF87) | ~mem(vertex,sF90,sF81) | ~spl103_66), 14.88/2.58 inference(superposition,[],[f921,f1365])). 14.88/2.58 tff(f2762,plain,( 14.88/2.58 ~spl103_160 | ~spl103_44), 14.88/2.58 inference(avatar_split_clause,[],[f2589,f1253,f2759])). 14.88/2.58 tff(f2589,plain,( 14.88/2.58 ~mem(vertex,sF50,sF81) | ~spl103_44), 14.88/2.58 inference(global_subsumption,[],[f914,f2581])). 14.88/2.58 tff(f2581,plain,( 14.88/2.58 ~mem(vertex,sF50,sF87) | ~mem(vertex,sF50,sF81) | ~spl103_44), 14.88/2.58 inference(superposition,[],[f921,f1255])). 14.88/2.58 tff(f2739,plain,( 14.88/2.58 spl103_159 | ~spl103_30 | ~spl103_37 | ~spl103_129), 14.88/2.58 inference(avatar_split_clause,[],[f2637,f2182,f1218,f1183,f2736])). 14.88/2.58 tff(f1183,plain,( 14.88/2.58 spl103_30 <=> sK12 = tb2t(sF82)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_30])])). 14.88/2.58 tff(f2182,plain,( 14.88/2.58 spl103_129 <=> add(vertex,sF50,sF81) = sF82), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_129])])). 14.88/2.58 tff(f2637,plain,( 14.88/2.58 sF43 = add(vertex,sF50,sF81) | (~spl103_30 | ~spl103_37 | ~spl103_129)), 14.88/2.58 inference(backward_demodulation,[],[f2184,f2635])). 14.88/2.58 tff(f2635,plain,( 14.88/2.58 sF43 = sF82 | (~spl103_30 | ~spl103_37 | ~spl103_129)), 14.88/2.58 inference(global_subsumption,[],[f2468,f2634])). 14.88/2.58 tff(f2634,plain,( 14.88/2.58 sF43 = sF82 | ~sort1(set(vertex),sF82) | (~spl103_30 | ~spl103_37)), 14.88/2.58 inference(forward_demodulation,[],[f2617,f1220])). 14.88/2.58 tff(f2617,plain,( 14.88/2.58 t2tb(sK12) = sF82 | ~sort1(set(vertex),sF82) | ~spl103_30), 14.88/2.58 inference(superposition,[],[f534,f1185])). 14.88/2.58 tff(f1185,plain,( 14.88/2.58 sK12 = tb2t(sF82) | ~spl103_30), 14.88/2.58 inference(avatar_component_clause,[],[f1183])). 14.88/2.58 tff(f2468,plain,( 14.88/2.58 sort1(set(vertex),sF82) | ~spl103_129), 14.88/2.58 inference(superposition,[],[f557,f2184])). 14.88/2.58 tff(f2184,plain,( 14.88/2.58 add(vertex,sF50,sF81) = sF82 | ~spl103_129), 14.88/2.58 inference(avatar_component_clause,[],[f2182])). 14.88/2.58 tff(f2734,plain,( 14.88/2.58 ~spl103_158 | ~spl103_111), 14.88/2.58 inference(avatar_split_clause,[],[f2709,f2056,f2731])). 14.88/2.58 tff(f2709,plain,( 14.88/2.58 ~is_empty(vertex,sF44) | ~spl103_111), 14.88/2.58 inference(resolution,[],[f2057,f544])). 14.88/2.58 tff(f2729,plain,( 14.88/2.58 spl103_157 | ~spl103_28 | ~spl103_39 | ~spl103_128), 14.88/2.58 inference(avatar_split_clause,[],[f2632,f2177,f1228,f1173,f2726])). 14.88/2.58 tff(f2632,plain,( 14.88/2.58 sF45 = remove(vertex,sF55,sF70) | (~spl103_28 | ~spl103_39 | ~spl103_128)), 14.88/2.58 inference(backward_demodulation,[],[f2179,f2629])). 14.88/2.58 tff(f2718,plain,( 14.88/2.58 ~spl103_97 | ~spl103_87 | spl103_91), 14.88/2.58 inference(avatar_split_clause,[],[f2696,f1613,f1496,f1739])). 14.88/2.58 tff(f1613,plain,( 14.88/2.58 spl103_91 <=> sK19 = tb2t(sF66)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_91])])). 14.88/2.58 tff(f2696,plain,( 14.88/2.58 sK14 != tb2t(sF66) | (~spl103_87 | spl103_91)), 14.88/2.58 inference(forward_demodulation,[],[f1614,f2675])). 14.88/2.58 tff(f1614,plain,( 14.88/2.58 sK19 != tb2t(sF66) | spl103_91), 14.88/2.58 inference(avatar_component_clause,[],[f1613])). 14.88/2.58 tff(f2715,plain,( 14.88/2.58 spl103_156 | ~spl103_30 | ~spl103_37 | ~spl103_129), 14.88/2.58 inference(avatar_split_clause,[],[f2635,f2182,f1218,f1183,f2712])). 14.88/2.58 tff(f2712,plain,( 14.88/2.58 spl103_156 <=> sF43 = sF82), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_156])])). 14.88/2.58 tff(f2710,plain,( 14.88/2.58 spl103_100 | ~spl103_38 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2677,f1496,f1223,f1807])). 14.88/2.58 tff(f2708,plain,( 14.88/2.58 spl103_155 | ~spl103_28 | ~spl103_39 | ~spl103_128), 14.88/2.58 inference(avatar_split_clause,[],[f2629,f2177,f1228,f1173,f2705])). 14.88/2.58 tff(f2705,plain,( 14.88/2.58 spl103_155 <=> sF45 = sF71), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_155])])). 14.88/2.58 tff(f2703,plain,( 14.88/2.58 spl103_111 | ~spl103_87 | spl103_90 | spl103_102), 14.88/2.58 inference(avatar_split_clause,[],[f2674,f1820,f1588,f1496,f2056])). 14.88/2.58 tff(f1588,plain,( 14.88/2.58 spl103_90 <=> sK14 = sF67), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_90])])). 14.88/2.58 tff(f2674,plain,( 14.88/2.58 mem(vertex,sF55,sF44) | (~spl103_87 | spl103_90 | spl103_102)), 14.88/2.58 inference(global_subsumption,[],[f1760,f1822])). 14.88/2.58 tff(f1822,plain,( 14.88/2.58 ~mem(vertex,sF55,sF43) | spl103_102), 14.88/2.58 inference(avatar_component_clause,[],[f1820])). 14.88/2.58 tff(f1760,plain,( 14.88/2.58 mem(vertex,sF55,sF44) | mem(vertex,sF55,sF43) | (~spl103_87 | spl103_90)), 14.88/2.58 inference(global_subsumption,[],[f1589,f1743])). 14.88/2.58 tff(f1743,plain,( 14.88/2.58 sK14 = sF67 | mem(vertex,sF55,sF44) | mem(vertex,sF55,sF43) | ~spl103_87), 14.88/2.58 inference(forward_demodulation,[],[f1007,f1498])). 14.88/2.58 tff(f1007,plain,( 14.88/2.58 mem(vertex,sF55,sF44) | sK19 = sF67 | mem(vertex,sF55,sF43)), 14.88/2.58 inference(duplicate_literal_removal,[],[f715])). 14.88/2.58 tff(f715,plain,( 14.88/2.58 mem(vertex,sF55,sF44) | sK19 = sF67 | mem(vertex,sF55,sF44) | mem(vertex,sF55,sF43)), 14.88/2.58 inference(definition_folding,[],[f471,f648,f665,f650,f665,f714,f713,f681,f665,f650,f665])). 14.88/2.58 tff(f471,plain,( 14.88/2.58 mem(vertex,t2tb2(sK18),t2tb(sK19)) | tb2t(add(vertex,t2tb2(sK18),t2tb(sK14))) = sK19 | mem(vertex,t2tb2(sK18),t2tb(sK19)) | mem(vertex,t2tb2(sK18),t2tb(sK12))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f1589,plain,( 14.88/2.58 sK14 != sF67 | spl103_90), 14.88/2.58 inference(avatar_component_clause,[],[f1588])). 14.88/2.58 tff(f2702,plain,( 14.88/2.58 spl103_88 | ~spl103_38 | ~spl103_48 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2678,f1496,f1273,f1223,f1522])). 14.88/2.58 tff(f2673,plain,( 14.88/2.58 spl103_86 | ~spl103_87 | spl103_90 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2672])). 14.88/2.58 tff(f2672,plain,( 14.88/2.58 $false | (spl103_86 | ~spl103_87 | spl103_90 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2671,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2670])). 14.88/2.58 tff(f2670,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2669,plain,( 14.88/2.58 ~spl103_87 | ~spl103_88 | spl103_90 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2668])). 14.88/2.58 tff(f2668,plain,( 14.88/2.58 $false | (~spl103_87 | ~spl103_88 | spl103_90 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2667,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_91 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2666])). 14.88/2.58 tff(f2666,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_91 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2665,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | ~spl103_100 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2664])). 14.88/2.58 tff(f2664,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | ~spl103_100 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2663,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_102 | spl103_111 | ~spl103_114), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2662])). 14.88/2.58 tff(f2662,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_102 | spl103_111 | ~spl103_114)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2661,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_102 | spl103_111 | ~spl103_136), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2660])). 14.88/2.58 tff(f2660,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_102 | spl103_111 | ~spl103_136)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2659,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_102 | spl103_111 | spl103_154), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2658])). 14.88/2.58 tff(f2658,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_102 | spl103_111 | spl103_154)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2657,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_102 | spl103_111 | ~spl103_126), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2656])). 14.88/2.58 tff(f2656,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_102 | spl103_111 | ~spl103_126)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2655,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_97 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2654])). 14.88/2.58 tff(f2654,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_97 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2653,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_102 | spl103_111 | ~spl103_126), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2652])). 14.88/2.58 tff(f2652,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_102 | spl103_111 | ~spl103_126)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2651,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2650])). 14.88/2.58 tff(f2650,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2649,plain,( 14.88/2.58 ~spl103_53 | ~spl103_87 | spl103_90 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2648])). 14.88/2.58 tff(f2648,plain,( 14.88/2.58 $false | (~spl103_53 | ~spl103_87 | spl103_90 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2647,plain,( 14.88/2.58 ~spl103_87 | spl103_90 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2646])). 14.88/2.58 tff(f2646,plain,( 14.88/2.58 $false | (~spl103_87 | spl103_90 | spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1760,f2058,f1822])). 14.88/2.58 tff(f2645,plain,( 14.88/2.58 spl103_154 | ~spl103_38 | ~spl103_91 | ~spl103_126), 14.88/2.58 inference(avatar_split_clause,[],[f2622,f2167,f1613,f1223,f2642])). 14.88/2.58 tff(f2622,plain,( 14.88/2.58 sF44 = sF66 | (~spl103_38 | ~spl103_91 | ~spl103_126)), 14.88/2.58 inference(global_subsumption,[],[f2470,f2621])). 14.88/2.58 tff(f2621,plain,( 14.88/2.58 sF44 = sF66 | ~sort1(set(vertex),sF66) | (~spl103_38 | ~spl103_91)), 14.88/2.58 inference(forward_demodulation,[],[f2615,f1225])). 14.88/2.58 tff(f2615,plain,( 14.88/2.58 t2tb(sK19) = sF66 | ~sort1(set(vertex),sF66) | ~spl103_91), 14.88/2.58 inference(superposition,[],[f534,f1615])). 14.88/2.58 tff(f1615,plain,( 14.88/2.58 sK19 = tb2t(sF66) | ~spl103_91), 14.88/2.58 inference(avatar_component_clause,[],[f1613])). 14.88/2.58 tff(f2614,plain,( 14.88/2.58 spl103_153 | ~spl103_57), 14.88/2.58 inference(avatar_split_clause,[],[f2573,f1318,f2611])). 14.88/2.58 tff(f2573,plain,( 14.88/2.58 mem(vertex,sF74,sF76) | ~spl103_57), 14.88/2.58 inference(global_subsumption,[],[f948,f2568])). 14.88/2.58 tff(f2568,plain,( 14.88/2.58 ~mem(vertex,sF74,sF70) | mem(vertex,sF74,sF76) | ~spl103_57), 14.88/2.58 inference(superposition,[],[f899,f1320])). 14.88/2.58 tff(f948,plain,( 14.88/2.58 mem(vertex,sF74,sF70)), 14.88/2.58 inference(trivial_inequality_removal,[],[f881])). 14.88/2.58 tff(f881,plain,( 14.88/2.58 mem(vertex,sF74,sF70) | sK16 != sK16), 14.88/2.58 inference(definition_folding,[],[f634,f873,f880])). 14.88/2.58 tff(f880,plain,( 14.88/2.58 t2tb2(sK24) = sF74), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f634,plain,( 14.88/2.58 mem(vertex,t2tb2(sK24),t2tb(sK13)) | sK16 != sK16), 14.88/2.58 inference(definition_unfolding,[],[f311,f312])). 14.88/2.58 tff(f311,plain,( 14.88/2.58 mem(vertex,t2tb2(sK24),t2tb(sK13)) | true1 != sK16), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f2607,plain,( 14.88/2.58 spl103_152 | ~spl103_56), 14.88/2.58 inference(avatar_split_clause,[],[f2572,f1313,f2604])). 14.88/2.58 tff(f2572,plain,( 14.88/2.58 mem(vertex,sF73,sF76) | ~spl103_56), 14.88/2.58 inference(global_subsumption,[],[f879,f2567])). 14.88/2.58 tff(f2567,plain,( 14.88/2.58 ~mem(vertex,sF73,sF70) | mem(vertex,sF73,sF76) | ~spl103_56), 14.88/2.58 inference(superposition,[],[f899,f1315])). 14.88/2.58 tff(f879,plain,( 14.88/2.58 mem(vertex,sF73,sF70)), 14.88/2.58 inference(definition_folding,[],[f313,f873,f878])). 14.88/2.58 tff(f878,plain,( 14.88/2.58 t2tb2(sK23) = sF73), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f313,plain,( 14.88/2.58 mem(vertex,t2tb2(sK23),t2tb(sK13))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f2601,plain,( 14.88/2.58 spl103_151 | ~spl103_46), 14.88/2.58 inference(avatar_split_clause,[],[f2571,f1263,f2598])). 14.88/2.58 tff(f2571,plain,( 14.88/2.58 mem(vertex,sF55,sF76) | ~spl103_46), 14.88/2.58 inference(global_subsumption,[],[f874,f2564])). 14.88/2.58 tff(f2564,plain,( 14.88/2.58 ~mem(vertex,sF55,sF70) | mem(vertex,sF55,sF76) | ~spl103_46), 14.88/2.58 inference(superposition,[],[f899,f1265])). 14.88/2.58 tff(f2578,plain,( 14.88/2.58 ~spl103_150 | ~spl103_42), 14.88/2.58 inference(avatar_split_clause,[],[f2550,f1243,f2575])). 14.88/2.58 tff(f2550,plain,( 14.88/2.58 ~mem(vertex,sF48,sF58) | ~spl103_42), 14.88/2.58 inference(global_subsumption,[],[f658,f2544])). 14.88/2.58 tff(f2544,plain,( 14.88/2.58 ~mem(vertex,sF48,sF58) | ~mem(vertex,sF48,sF43) | ~spl103_42), 14.88/2.58 inference(superposition,[],[f891,f1245])). 14.88/2.58 tff(f2559,plain,( 14.88/2.58 spl103_114 | ~spl103_126 | spl103_149), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2558])). 14.88/2.58 tff(f2558,plain,( 14.88/2.58 $false | (spl103_114 | ~spl103_126 | spl103_149)), 14.88/2.58 inference(global_subsumption,[],[f2470,f2553])). 14.88/2.58 tff(f2553,plain,( 14.88/2.58 ~sort1(set(vertex),sF66) | spl103_149), 14.88/2.58 inference(avatar_component_clause,[],[f2552])). 14.88/2.58 tff(f2557,plain,( 14.88/2.58 ~spl103_126 | spl103_149), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2556])). 14.88/2.58 tff(f2556,plain,( 14.88/2.58 $false | (~spl103_126 | spl103_149)), 14.88/2.58 inference(global_subsumption,[],[f2470,f2553])). 14.88/2.58 tff(f2555,plain,( 14.88/2.58 spl103_149 | ~spl103_114), 14.88/2.58 inference(avatar_split_clause,[],[f2469,f2077,f2552])). 14.88/2.58 tff(f2469,plain,( 14.88/2.58 sort1(set(vertex),sF66) | ~spl103_114), 14.88/2.58 inference(superposition,[],[f557,f2079])). 14.88/2.58 tff(f2531,plain,( 14.88/2.58 ~spl103_148 | ~spl103_20), 14.88/2.58 inference(avatar_split_clause,[],[f2487,f1133,f2528])). 14.88/2.58 tff(f2487,plain,( 14.88/2.58 ~$less(sF86,0) | ~spl103_20), 14.88/2.58 inference(resolution,[],[f581,f1135])). 14.88/2.58 tff(f2524,plain,( 14.88/2.58 spl103_147), 14.88/2.58 inference(avatar_split_clause,[],[f905,f2521])). 14.88/2.58 tff(f2519,plain,( 14.88/2.58 spl103_146), 14.88/2.58 inference(avatar_split_clause,[],[f896,f2516])). 14.88/2.58 tff(f896,plain,( 14.88/2.58 get(int,vertex,sF59,sF78) = sF79), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f2514,plain,( 14.88/2.58 spl103_145), 14.88/2.58 inference(avatar_split_clause,[],[f823,f2511])). 14.88/2.58 tff(f2509,plain,( 14.88/2.58 spl103_144), 14.88/2.58 inference(avatar_split_clause,[],[f695,f2506])). 14.88/2.58 tff(f2504,plain,( 14.88/2.58 spl103_143), 14.88/2.58 inference(avatar_split_clause,[],[f666,f2501])). 14.88/2.58 tff(f666,plain,( 14.88/2.58 get(int,vertex,sF49,sF55) = sF56), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f2499,plain,( 14.88/2.58 spl103_142), 14.88/2.58 inference(avatar_split_clause,[],[f661,f2496])). 14.88/2.58 tff(f2493,plain,( 14.88/2.58 ~spl103_141 | ~spl103_26), 14.88/2.58 inference(avatar_split_clause,[],[f2453,f1163,f2490])). 14.88/2.58 tff(f2490,plain,( 14.88/2.58 spl103_141 <=> is_empty(vertex,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_141])])). 14.88/2.58 tff(f1163,plain,( 14.88/2.58 spl103_26 <=> mem(vertex,sF78,sF77)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_26])])). 14.88/2.58 tff(f2453,plain,( 14.88/2.58 ~is_empty(vertex,sF77) | ~spl103_26), 14.88/2.58 inference(resolution,[],[f544,f1165])). 14.88/2.58 tff(f1165,plain,( 14.88/2.58 mem(vertex,sF78,sF77) | ~spl103_26), 14.88/2.58 inference(avatar_component_clause,[],[f1163])). 14.88/2.58 tff(f2482,plain,( 14.88/2.58 ~spl103_140 | ~spl103_16), 14.88/2.58 inference(avatar_split_clause,[],[f2450,f1113,f2479])). 14.88/2.58 tff(f2479,plain,( 14.88/2.58 spl103_140 <=> is_empty(vertex,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_140])])). 14.88/2.58 tff(f1113,plain,( 14.88/2.58 spl103_16 <=> mem(vertex,sF55,sF70)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_16])])). 14.88/2.58 tff(f2450,plain,( 14.88/2.58 ~is_empty(vertex,sF70) | ~spl103_16), 14.88/2.58 inference(resolution,[],[f544,f1115])). 14.88/2.58 tff(f1115,plain,( 14.88/2.58 mem(vertex,sF55,sF70) | ~spl103_16), 14.88/2.58 inference(avatar_component_clause,[],[f1113])). 14.88/2.58 tff(f2475,plain,( 14.88/2.58 ~spl103_139 | ~spl103_21), 14.88/2.58 inference(avatar_split_clause,[],[f2449,f1138,f2472])). 14.88/2.58 tff(f2449,plain,( 14.88/2.58 ~is_empty(vertex,sF87) | ~spl103_21), 14.88/2.58 inference(resolution,[],[f544,f1140])). 14.88/2.58 tff(f2466,plain,( 14.88/2.58 ~spl103_138 | ~spl103_15), 14.88/2.58 inference(avatar_split_clause,[],[f2448,f1108,f2463])). 14.88/2.58 tff(f2448,plain,( 14.88/2.58 ~is_empty(vertex,sF43) | ~spl103_15), 14.88/2.58 inference(resolution,[],[f544,f1110])). 14.88/2.58 tff(f2461,plain,( 14.88/2.58 ~spl103_137 | ~spl103_14), 14.88/2.58 inference(avatar_split_clause,[],[f2447,f1103,f2458])). 14.88/2.58 tff(f2458,plain,( 14.88/2.58 spl103_137 <=> is_empty(vertex,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_137])])). 14.88/2.58 tff(f1103,plain,( 14.88/2.58 spl103_14 <=> mem(vertex,sF42,sF47)), 14.88/2.58 introduced(avatar_definition,[new_symbols(naming,[spl103_14])])). 14.88/2.58 tff(f2447,plain,( 14.88/2.58 ~is_empty(vertex,sF47) | ~spl103_14), 14.88/2.58 inference(resolution,[],[f544,f1105])). 14.88/2.58 tff(f1105,plain,( 14.88/2.58 mem(vertex,sF42,sF47) | ~spl103_14), 14.88/2.58 inference(avatar_component_clause,[],[f1103])). 14.88/2.58 tff(f2433,plain,( 14.88/2.58 spl103_87 | ~spl103_100 | spl103_136), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2432])). 14.88/2.58 tff(f2432,plain,( 14.88/2.58 $false | (spl103_87 | ~spl103_100 | spl103_136)), 14.88/2.58 inference(global_subsumption,[],[f2398,f2414])). 14.88/2.58 tff(f2414,plain,( 14.88/2.58 sK14 != tb2t(sF44) | spl103_136), 14.88/2.58 inference(avatar_component_clause,[],[f2413])). 14.88/2.58 tff(f2398,plain,( 14.88/2.58 sK14 = tb2t(sF44) | ~spl103_100), 14.88/2.58 inference(superposition,[],[f525,f1809])). 14.88/2.58 tff(f1809,plain,( 14.88/2.58 t2tb(sK14) = sF44 | ~spl103_100), 14.88/2.58 inference(avatar_component_clause,[],[f1807])). 14.88/2.58 tff(f2431,plain,( 14.88/2.58 spl103_90 | ~spl103_100 | spl103_136), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2430])). 14.88/2.58 tff(f2430,plain,( 14.88/2.58 $false | (spl103_90 | ~spl103_100 | spl103_136)), 14.88/2.58 inference(global_subsumption,[],[f2398,f2414])). 14.88/2.58 tff(f2429,plain,( 14.88/2.58 spl103_97 | ~spl103_100 | spl103_136), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2428])). 14.88/2.58 tff(f2428,plain,( 14.88/2.58 $false | (spl103_97 | ~spl103_100 | spl103_136)), 14.88/2.58 inference(global_subsumption,[],[f2398,f2414])). 14.88/2.58 tff(f2427,plain,( 14.88/2.58 ~spl103_100 | spl103_136), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2426])). 14.88/2.58 tff(f2426,plain,( 14.88/2.58 $false | (~spl103_100 | spl103_136)), 14.88/2.58 inference(global_subsumption,[],[f2398,f2414])). 14.88/2.58 tff(f2425,plain,( 14.88/2.58 ~spl103_38 | spl103_87 | ~spl103_91 | ~spl103_100), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2424])). 14.88/2.58 tff(f2424,plain,( 14.88/2.58 $false | (~spl103_38 | spl103_87 | ~spl103_91 | ~spl103_100)), 14.88/2.58 inference(global_subsumption,[],[f1497,f2417])). 14.88/2.58 tff(f2417,plain,( 14.88/2.58 sK14 = sK19 | (~spl103_38 | ~spl103_100)), 14.88/2.58 inference(forward_demodulation,[],[f1895,f2398])). 14.88/2.58 tff(f1497,plain,( 14.88/2.58 sK14 != sK19 | spl103_87), 14.88/2.58 inference(avatar_component_clause,[],[f1496])). 14.88/2.58 tff(f2423,plain,( 14.88/2.58 ~spl103_38 | ~spl103_86 | spl103_87 | ~spl103_100), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2422])). 14.88/2.58 tff(f2422,plain,( 14.88/2.58 $false | (~spl103_38 | ~spl103_86 | spl103_87 | ~spl103_100)), 14.88/2.58 inference(global_subsumption,[],[f1497,f2417])). 14.88/2.58 tff(f2421,plain,( 14.88/2.58 ~spl103_38 | spl103_87 | ~spl103_100), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2420])). 14.88/2.58 tff(f2420,plain,( 14.88/2.58 $false | (~spl103_38 | spl103_87 | ~spl103_100)), 14.88/2.58 inference(global_subsumption,[],[f1497,f2417])). 14.88/2.58 tff(f2419,plain,( 14.88/2.58 ~spl103_38 | spl103_87 | ~spl103_100), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2418])). 14.88/2.58 tff(f2418,plain,( 14.88/2.58 $false | (~spl103_38 | spl103_87 | ~spl103_100)), 14.88/2.58 inference(global_subsumption,[],[f1497,f2417])). 14.88/2.58 tff(f2416,plain,( 14.88/2.58 spl103_136 | ~spl103_38 | ~spl103_87), 14.88/2.58 inference(avatar_split_clause,[],[f2366,f1496,f1223,f2413])). 14.88/2.58 tff(f2366,plain,( 14.88/2.58 sK14 = tb2t(sF44) | (~spl103_38 | ~spl103_87)), 14.88/2.58 inference(forward_demodulation,[],[f1895,f1498])). 14.88/2.58 tff(f2405,plain,( 14.88/2.58 spl103_114 | ~spl103_88 | ~spl103_126), 14.88/2.58 inference(avatar_split_clause,[],[f2342,f2167,f1522,f2077])). 14.88/2.58 tff(f2342,plain,( 14.88/2.58 sF66 = add(vertex,sF55,sF44) | (~spl103_88 | ~spl103_126)), 14.88/2.58 inference(forward_demodulation,[],[f2169,f1524])). 14.88/2.58 tff(f1524,plain,( 14.88/2.58 sF44 = sF58 | ~spl103_88), 14.88/2.58 inference(avatar_component_clause,[],[f1522])). 14.88/2.58 tff(f2395,plain,( 14.88/2.58 spl103_89 | spl103_102 | spl103_111), 14.88/2.58 inference(avatar_split_clause,[],[f2386,f2056,f1820,f1540])). 14.88/2.58 tff(f2386,plain,( 14.88/2.58 sK20 = sF65 | (spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f2058,f1822,f1012])). 14.88/2.58 tff(f1012,plain,( 14.88/2.58 mem(vertex,sF55,sF44) | sK20 = sF65 | mem(vertex,sF55,sF43)), 14.88/2.58 inference(duplicate_literal_removal,[],[f701])). 14.88/2.58 tff(f701,plain,( 14.88/2.58 mem(vertex,sF55,sF44) | sK20 = sF65 | mem(vertex,sF55,sF44) | mem(vertex,sF55,sF43)), 14.88/2.58 inference(definition_folding,[],[f483,f648,f665,f650,f665,f700,f699,f698,f697,f663,f696,f695,f660,f694,f665,f694,f650,f665])). 14.88/2.58 tff(f698,plain,( 14.88/2.58 t2tb3(sF62) = sF63), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f699,plain,( 14.88/2.58 set1(int,vertex,sF59,sF55,sF63) = sF64), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f700,plain,( 14.88/2.58 tb2t1(sF64) = sF65), 14.88/2.58 introduced(function_definition,[])). 14.88/2.58 tff(f483,plain,( 14.88/2.58 mem(vertex,t2tb2(sK18),t2tb(sK19)) | tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 | mem(vertex,t2tb2(sK18),t2tb(sK19)) | mem(vertex,t2tb2(sK18),t2tb(sK12))), 14.88/2.58 inference(cnf_transformation,[],[f239])). 14.88/2.58 tff(f2385,plain,( 14.88/2.58 ~spl103_89 | ~spl103_110 | spl103_135), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2384])). 14.88/2.58 tff(f2384,plain,( 14.88/2.58 $false | (~spl103_89 | ~spl103_110 | spl103_135)), 14.88/2.58 inference(global_subsumption,[],[f2330,f2274])). 14.88/2.58 tff(f2274,plain,( 14.88/2.58 sF51 != sF60 | spl103_135), 14.88/2.58 inference(avatar_component_clause,[],[f2273])). 14.88/2.58 tff(f2330,plain,( 14.88/2.58 sF51 = sF60 | ~spl103_110), 14.88/2.58 inference(forward_demodulation,[],[f2329,f661])). 14.88/2.58 tff(f2329,plain,( 14.88/2.58 get(int,vertex,sF49,sF50) = sF60 | ~spl103_110), 14.88/2.58 inference(forward_demodulation,[],[f695,f2016])). 14.88/2.58 tff(f2016,plain,( 14.88/2.58 sF49 = sF59 | ~spl103_110), 14.88/2.58 inference(avatar_component_clause,[],[f2014])). 14.88/2.58 tff(f2383,plain,( 14.88/2.58 ~spl103_94 | ~spl103_110 | spl103_135), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2382])). 14.88/2.58 tff(f2382,plain,( 14.88/2.58 $false | (~spl103_94 | ~spl103_110 | spl103_135)), 14.88/2.58 inference(global_subsumption,[],[f2330,f2274])). 14.88/2.58 tff(f2381,plain,( 14.88/2.58 spl103_95 | ~spl103_110 | spl103_135), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2380])). 14.88/2.58 tff(f2380,plain,( 14.88/2.58 $false | (spl103_95 | ~spl103_110 | spl103_135)), 14.88/2.58 inference(global_subsumption,[],[f2330,f2274])). 14.88/2.58 tff(f2379,plain,( 14.88/2.58 ~spl103_98 | ~spl103_110 | spl103_135), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2378])). 14.88/2.58 tff(f2378,plain,( 14.88/2.58 $false | (~spl103_98 | ~spl103_110 | spl103_135)), 14.88/2.58 inference(global_subsumption,[],[f2330,f2274])). 14.88/2.58 tff(f2377,plain,( 14.88/2.58 ~spl103_109 | ~spl103_110 | spl103_135), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2376])). 14.88/2.58 tff(f2376,plain,( 14.88/2.58 $false | (~spl103_109 | ~spl103_110 | spl103_135)), 14.88/2.58 inference(global_subsumption,[],[f2330,f2274])). 14.88/2.58 tff(f2375,plain,( 14.88/2.58 ~spl103_110 | ~spl103_134 | spl103_135), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2374])). 14.88/2.58 tff(f2374,plain,( 14.88/2.58 $false | (~spl103_110 | ~spl103_134 | spl103_135)), 14.88/2.58 inference(global_subsumption,[],[f2330,f2274])). 14.88/2.58 tff(f2372,plain,( 14.88/2.58 ~spl103_110 | spl103_135), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2371])). 14.88/2.58 tff(f2371,plain,( 14.88/2.58 $false | (~spl103_110 | spl103_135)), 14.88/2.58 inference(global_subsumption,[],[f2330,f2274])). 14.88/2.58 tff(f2368,plain,( 14.88/2.58 ~spl103_38 | ~spl103_87 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.58 inference(avatar_contradiction_clause,[],[f2367])). 14.88/2.58 tff(f2367,plain,( 14.88/2.58 $false | (~spl103_38 | ~spl103_87 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.58 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f1728,plain,( 14.88/2.59 mem(vertex,sF55,sF44) | ~mem(vertex,sF55,sF43) | spl103_95), 14.88/2.59 inference(subsumption_resolution,[],[f1020,f1702])). 14.88/2.59 tff(f2363,plain,( 14.88/2.59 ~spl103_88 | spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2362])). 14.88/2.59 tff(f2362,plain,( 14.88/2.59 $false | (~spl103_88 | spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2359,plain,( 14.88/2.59 ~spl103_88 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2358])). 14.88/2.59 tff(f2358,plain,( 14.88/2.59 $false | (~spl103_88 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2356,plain,( 14.88/2.59 ~spl103_88 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2355])). 14.88/2.59 tff(f2355,plain,( 14.88/2.59 $false | (~spl103_88 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2353,plain,( 14.88/2.59 ~spl103_88 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2352])). 14.88/2.59 tff(f2352,plain,( 14.88/2.59 $false | (~spl103_88 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2348,plain,( 14.88/2.59 ~spl103_48 | ~spl103_88 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2347])). 14.88/2.59 tff(f2347,plain,( 14.88/2.59 $false | (~spl103_48 | ~spl103_88 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2344,plain,( 14.88/2.59 ~spl103_88 | spl103_95 | ~spl103_102 | spl103_111 | ~spl103_126), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2343])). 14.88/2.59 tff(f2343,plain,( 14.88/2.59 $false | (~spl103_88 | spl103_95 | ~spl103_102 | spl103_111 | ~spl103_126)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2341,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2340])). 14.88/2.59 tff(f2340,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2339,plain,( 14.88/2.59 ~spl103_43 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2338])). 14.88/2.59 tff(f2338,plain,( 14.88/2.59 $false | (~spl103_43 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2337,plain,( 14.88/2.59 ~spl103_43 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2336])). 14.88/2.59 tff(f2336,plain,( 14.88/2.59 $false | (~spl103_43 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2335,plain,( 14.88/2.59 ~spl103_49 | spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2334])). 14.88/2.59 tff(f2334,plain,( 14.88/2.59 $false | (~spl103_49 | spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2332,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2331])). 14.88/2.59 tff(f2331,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2328,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2327])). 14.88/2.59 tff(f2327,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2324,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2323])). 14.88/2.59 tff(f2323,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2321,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2320])). 14.88/2.59 tff(f2320,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2318,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2317])). 14.88/2.59 tff(f2317,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2315,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2314])). 14.88/2.59 tff(f2314,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2312,plain,( 14.88/2.59 ~spl103_49 | spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2311])). 14.88/2.59 tff(f2311,plain,( 14.88/2.59 $false | (~spl103_49 | spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2309,plain,( 14.88/2.59 ~spl103_50 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2308])). 14.88/2.59 tff(f2308,plain,( 14.88/2.59 $false | (~spl103_50 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2307,plain,( 14.88/2.59 ~spl103_50 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2306])). 14.88/2.59 tff(f2306,plain,( 14.88/2.59 $false | (~spl103_50 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2305,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_121), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2304])). 14.88/2.59 tff(f2304,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111 | ~spl103_120 | ~spl103_121)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2303,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111 | ~spl103_121), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2302])). 14.88/2.59 tff(f2302,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111 | ~spl103_121)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2301,plain,( 14.88/2.59 ~spl103_51 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2300])). 14.88/2.59 tff(f2300,plain,( 14.88/2.59 $false | (~spl103_51 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2299,plain,( 14.88/2.59 ~spl103_51 | ~spl103_70 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2298])). 14.88/2.59 tff(f2298,plain,( 14.88/2.59 $false | (~spl103_51 | ~spl103_70 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2297,plain,( 14.88/2.59 ~spl103_51 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2296])). 14.88/2.59 tff(f2296,plain,( 14.88/2.59 $false | (~spl103_51 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2295,plain,( 14.88/2.59 ~spl103_54 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2294])). 14.88/2.59 tff(f2294,plain,( 14.88/2.59 $false | (~spl103_54 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2293,plain,( 14.88/2.59 ~spl103_54 | spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2292])). 14.88/2.59 tff(f2292,plain,( 14.88/2.59 $false | (~spl103_54 | spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2291,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2290])). 14.88/2.59 tff(f2290,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2289,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2288])). 14.88/2.59 tff(f2288,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2287,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2286])). 14.88/2.59 tff(f2286,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2285,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2284])). 14.88/2.59 tff(f2284,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2283,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2282])). 14.88/2.59 tff(f2282,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | ~spl103_110 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2280,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111 | ~spl103_114), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2279])). 14.88/2.59 tff(f2279,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111 | ~spl103_114)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2278,plain,( 14.88/2.59 spl103_95 | ~spl103_102 | spl103_111), 14.88/2.59 inference(avatar_contradiction_clause,[],[f2277])). 14.88/2.59 tff(f2277,plain,( 14.88/2.59 $false | (spl103_95 | ~spl103_102 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f1728,f2058,f1821])). 14.88/2.59 tff(f2276,plain,( 14.88/2.59 spl103_135 | ~spl103_43 | ~spl103_49 | ~spl103_95), 14.88/2.59 inference(avatar_split_clause,[],[f2242,f1701,f1278,f1248,f2273])). 14.88/2.59 tff(f2271,plain,( 14.88/2.59 spl103_110 | ~spl103_43 | ~spl103_49 | ~spl103_95), 14.88/2.59 inference(avatar_split_clause,[],[f2233,f1701,f1278,f1248,f2014])). 14.88/2.59 tff(f2270,plain,( 14.88/2.59 spl103_88 | ~spl103_38 | ~spl103_48 | ~spl103_95 | spl103_99 | spl103_111), 14.88/2.59 inference(avatar_split_clause,[],[f2220,f2056,f1790,f1701,f1273,f1223,f1522])). 14.88/2.59 tff(f2220,plain,( 14.88/2.59 sF44 = sF58 | (~spl103_38 | ~spl103_48 | ~spl103_95 | spl103_99 | spl103_111)), 14.88/2.59 inference(backward_demodulation,[],[f1275,f2219])). 14.88/2.59 tff(f2219,plain,( 14.88/2.59 t2tb(sK14) = sF44 | (~spl103_38 | ~spl103_95 | spl103_99 | spl103_111)), 14.88/2.59 inference(backward_demodulation,[],[f1225,f2215])). 14.88/2.59 tff(f2215,plain,( 14.88/2.59 sK14 = sK19 | (~spl103_95 | spl103_99 | spl103_111)), 14.88/2.59 inference(global_subsumption,[],[f979,f1791,f2008,f2058])). 14.88/2.59 tff(f2008,plain,( 14.88/2.59 sK15 = sF65 | mem(vertex,sF55,sF44) | mem(vertex,sF55,sF43) | ~spl103_95), 14.88/2.59 inference(forward_demodulation,[],[f1012,f1703])). 14.88/2.59 tff(f1791,plain,( 14.88/2.59 sK15 != sF65 | spl103_99), 14.88/2.59 inference(avatar_component_clause,[],[f1790])). 14.88/2.59 tff(f2269,plain,( 14.88/2.59 spl103_90 | ~spl103_86 | ~spl103_95 | spl103_99 | spl103_111), 14.88/2.59 inference(avatar_split_clause,[],[f2217,f2056,f1790,f1701,f1492,f1588])). 14.88/2.59 tff(f2217,plain,( 14.88/2.59 sK14 = sF67 | (~spl103_86 | ~spl103_95 | spl103_99 | spl103_111)), 14.88/2.59 inference(backward_demodulation,[],[f1494,f2215])). 14.88/2.59 tff(f1494,plain,( 14.88/2.59 sK19 = sF67 | ~spl103_86), 14.88/2.59 inference(avatar_component_clause,[],[f1492])). 14.88/2.59 tff(f2268,plain,( 14.88/2.59 spl103_87 | ~spl103_95 | spl103_99 | spl103_111), 14.88/2.59 inference(avatar_split_clause,[],[f2215,f2056,f1790,f1701,f1496])). 14.88/2.59 tff(f2214,plain,( 14.88/2.59 spl103_134 | ~spl103_109), 14.88/2.59 inference(avatar_split_clause,[],[f2045,f1923,f2211])). 14.88/2.59 tff(f1923,plain,( 14.88/2.59 spl103_109 <=> sF49 = sF64), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_109])])). 14.88/2.59 tff(f2045,plain,( 14.88/2.59 sF49 = set1(int,vertex,sF59,sF55,sF63) | ~spl103_109), 14.88/2.59 inference(backward_demodulation,[],[f699,f1925])). 14.88/2.59 tff(f1925,plain,( 14.88/2.59 sF49 = sF64 | ~spl103_109), 14.88/2.59 inference(avatar_component_clause,[],[f1923])). 14.88/2.59 tff(f2209,plain,( 14.88/2.59 spl103_133 | ~spl103_29 | ~spl103_70), 14.88/2.59 inference(avatar_split_clause,[],[f1877,f1383,f1178,f2206])). 14.88/2.59 tff(f1877,plain,( 14.88/2.59 sF97 = set1(int,vertex,sF95,sF78,sF79) | (~spl103_29 | ~spl103_70)), 14.88/2.59 inference(backward_demodulation,[],[f936,f1875])). 14.88/2.59 tff(f936,plain,( 14.88/2.59 set1(int,vertex,sF95,sF78,sF96) = sF97), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f2200,plain,( 14.88/2.59 spl103_132), 14.88/2.59 inference(avatar_split_clause,[],[f940,f2197])). 14.88/2.59 tff(f940,plain,( 14.88/2.59 add(vertex,sF78,sF99) = sF100), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f2195,plain,( 14.88/2.59 spl103_131), 14.88/2.59 inference(avatar_split_clause,[],[f910,f2192])). 14.88/2.59 tff(f910,plain,( 14.88/2.59 remove(vertex,sF50,sF87) = sF88), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f2190,plain,( 14.88/2.59 spl103_130 | ~spl103_34), 14.88/2.59 inference(avatar_split_clause,[],[f1904,f1203,f2187])). 14.88/2.59 tff(f2187,plain,( 14.88/2.59 spl103_130 <=> sF97 = t2tb1(sK4)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_130])])). 14.88/2.59 tff(f1203,plain,( 14.88/2.59 spl103_34 <=> sK4 = tb2t1(sF97)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_34])])). 14.88/2.59 tff(f1904,plain,( 14.88/2.59 sF97 = t2tb1(sK4) | ~spl103_34), 14.88/2.59 inference(superposition,[],[f527,f1205])). 14.88/2.59 tff(f1205,plain,( 14.88/2.59 sK4 = tb2t1(sF97) | ~spl103_34), 14.88/2.59 inference(avatar_component_clause,[],[f1203])). 14.88/2.59 tff(f527,plain,( 14.88/2.59 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 14.88/2.59 inference(cnf_transformation,[],[f104])). 14.88/2.59 tff(f104,plain,( 14.88/2.59 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 14.88/2.59 inference(rectify,[],[f48])). 14.88/2.59 tff(f48,axiom,( 14.88/2.59 ! [X12 : uni] : t2tb1(tb2t1(X12)) = X12), 14.88/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 14.88/2.59 tff(f2185,plain,( 14.88/2.59 spl103_129), 14.88/2.59 inference(avatar_split_clause,[],[f901,f2182])). 14.88/2.59 tff(f901,plain,( 14.88/2.59 add(vertex,sF50,sF81) = sF82), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f2180,plain,( 14.88/2.59 spl103_128), 14.88/2.59 inference(avatar_split_clause,[],[f875,f2177])). 14.88/2.59 tff(f875,plain,( 14.88/2.59 remove(vertex,sF55,sF70) = sF71), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f2175,plain,( 14.88/2.59 spl103_127 | ~spl103_29), 14.88/2.59 inference(avatar_split_clause,[],[f1869,f1178,f2172])). 14.88/2.59 tff(f2170,plain,( 14.88/2.59 spl103_126), 14.88/2.59 inference(avatar_split_clause,[],[f713,f2167])). 14.88/2.59 tff(f2160,plain,( 14.88/2.59 spl103_125 | ~spl103_29 | ~spl103_33), 14.88/2.59 inference(avatar_split_clause,[],[f1880,f1198,f1178,f2157])). 14.88/2.59 tff(f2157,plain,( 14.88/2.59 spl103_125 <=> sF79 = get(int,vertex,sF84,sF78)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_125])])). 14.88/2.59 tff(f1198,plain,( 14.88/2.59 spl103_33 <=> 0 = tb2t3(sF92)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_33])])). 14.88/2.59 tff(f1880,plain,( 14.88/2.59 sF79 = get(int,vertex,sF84,sF78) | (~spl103_29 | ~spl103_33)), 14.88/2.59 inference(backward_demodulation,[],[f929,f1878])). 14.88/2.59 tff(f1878,plain,( 14.88/2.59 sF79 = sF92 | (~spl103_29 | ~spl103_33)), 14.88/2.59 inference(forward_demodulation,[],[f1871,f1869])). 14.88/2.59 tff(f1871,plain,( 14.88/2.59 t2tb3(0) = sF92 | ~spl103_33), 14.88/2.59 inference(superposition,[],[f524,f1200])). 14.88/2.59 tff(f1200,plain,( 14.88/2.59 0 = tb2t3(sF92) | ~spl103_33), 14.88/2.59 inference(avatar_component_clause,[],[f1198])). 14.88/2.59 tff(f929,plain,( 14.88/2.59 get(int,vertex,sF84,sF78) = sF92), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f2151,plain,( 14.88/2.59 ~spl103_123 | ~spl103_124), 14.88/2.59 inference(avatar_split_clause,[],[f653,f2148,f2144])). 14.88/2.59 tff(f653,plain,( 14.88/2.59 ~mem(vertex,sF42,sF45) | sK11 != sK21), 14.88/2.59 inference(definition_folding,[],[f512,f652,f647])). 14.88/2.59 tff(f652,plain,( 14.88/2.59 t2tb(sK17) = sF45), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f512,plain,( 14.88/2.59 ~mem(vertex,t2tb2(sK22),t2tb(sK17)) | sK11 != sK21), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f2139,plain,( 14.88/2.59 ~spl103_122 | ~spl103_119), 14.88/2.59 inference(avatar_split_clause,[],[f2134,f2120,f2136])). 14.88/2.59 tff(f2120,plain,( 14.88/2.59 spl103_119 <=> weight1(sK11,sK18) = sF53), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_119])])). 14.88/2.59 tff(f2134,plain,( 14.88/2.59 ~$less(sF53,0) | ~spl103_119), 14.88/2.59 inference(superposition,[],[f540,f2122])). 14.88/2.59 tff(f2122,plain,( 14.88/2.59 weight1(sK11,sK18) = sF53 | ~spl103_119), 14.88/2.59 inference(avatar_component_clause,[],[f2120])). 14.88/2.59 tff(f540,plain,( 14.88/2.59 ( ! [X0 : vertex1,X1 : vertex1] : (~$less(weight1(X0,X1),0)) )), 14.88/2.59 inference(cnf_transformation,[],[f112])). 14.88/2.59 tff(f112,plain,( 14.88/2.59 ! [X0 : vertex1,X1 : vertex1] : ~$less(weight1(X0,X1),0)), 14.88/2.59 inference(rectify,[],[f82])). 14.88/2.59 tff(f82,plain,( 14.88/2.59 ! [X7 : vertex1,X14 : vertex1] : ~$less(weight1(X7,X14),0)), 14.88/2.59 inference(theory_normalization,[],[f29])). 14.88/2.59 tff(f29,axiom,( 14.88/2.59 ! [X7 : vertex1,X14 : vertex1] : $lesseq(0,weight1(X7,X14))), 14.88/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',weight_nonneg)). 14.88/2.59 tff(f2133,plain,( 14.88/2.59 spl103_121), 14.88/2.59 inference(avatar_split_clause,[],[f697,f2130])). 14.88/2.59 tff(f2128,plain,( 14.88/2.59 spl103_120), 14.88/2.59 inference(avatar_split_clause,[],[f664,f2125])). 14.88/2.59 tff(f664,plain,( 14.88/2.59 $sum(sF52,sF53) = sF54), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f2123,plain,( 14.88/2.59 spl103_119), 14.88/2.59 inference(avatar_split_clause,[],[f663,f2120])). 14.88/2.59 tff(f2118,plain,( 14.88/2.59 ~spl103_118 | ~spl103_72), 14.88/2.59 inference(avatar_split_clause,[],[f1471,f1393,f2115])). 14.88/2.59 tff(f2115,plain,( 14.88/2.59 spl103_118 <=> mem(vertex,sF102,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_118])])). 14.88/2.59 tff(f1471,plain,( 14.88/2.59 ~mem(vertex,sF102,sF94) | ~spl103_72), 14.88/2.59 inference(superposition,[],[f933,f1395])). 14.88/2.59 tff(f933,plain,( 14.88/2.59 ( ! [X46 : vertex1] : (~mem(vertex,t2tb2(X46),sF94)) )), 14.88/2.59 inference(definition_folding,[],[f276,f932])). 14.88/2.59 tff(f932,plain,( 14.88/2.59 t2tb(sK5) = sF94), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f276,plain,( 14.88/2.59 ( ! [X46 : vertex1] : (~mem(vertex,t2tb2(X46),t2tb(sK5))) )), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f2112,plain,( 14.88/2.59 ~spl103_117 | ~spl103_67), 14.88/2.59 inference(avatar_split_clause,[],[f1460,f1368,f2109])). 14.88/2.59 tff(f2109,plain,( 14.88/2.59 spl103_117 <=> mem(vertex,sF91,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_117])])). 14.88/2.59 tff(f1460,plain,( 14.88/2.59 ~mem(vertex,sF91,sF94) | ~spl103_67), 14.88/2.59 inference(superposition,[],[f933,f1370])). 14.88/2.59 tff(f2106,plain,( 14.88/2.59 ~spl103_116 | ~spl103_66), 14.88/2.59 inference(avatar_split_clause,[],[f1458,f1363,f2103])). 14.88/2.59 tff(f2103,plain,( 14.88/2.59 spl103_116 <=> mem(vertex,sF90,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_116])])). 14.88/2.59 tff(f1458,plain,( 14.88/2.59 ~mem(vertex,sF90,sF94) | ~spl103_66), 14.88/2.59 inference(superposition,[],[f933,f1365])). 14.88/2.59 tff(f2097,plain,( 14.88/2.59 ~spl103_115 | ~spl103_61), 14.88/2.59 inference(avatar_split_clause,[],[f1446,f1338,f2094])). 14.88/2.59 tff(f2094,plain,( 14.88/2.59 spl103_115 <=> mem(vertex,sF78,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_115])])). 14.88/2.59 tff(f1446,plain,( 14.88/2.59 ~mem(vertex,sF78,sF94) | ~spl103_61), 14.88/2.59 inference(superposition,[],[f933,f1340])). 14.88/2.59 tff(f2089,plain,( 14.88/2.59 spl103_91 | ~spl103_53 | ~spl103_86), 14.88/2.59 inference(avatar_split_clause,[],[f2082,f1492,f1298,f1613])). 14.88/2.59 tff(f2082,plain,( 14.88/2.59 sK19 = tb2t(sF66) | (~spl103_53 | ~spl103_86)), 14.88/2.59 inference(forward_demodulation,[],[f1300,f1494])). 14.88/2.59 tff(f2080,plain,( 14.88/2.59 spl103_114 | ~spl103_88), 14.88/2.59 inference(avatar_split_clause,[],[f2036,f1522,f2077])). 14.88/2.59 tff(f2036,plain,( 14.88/2.59 sF66 = add(vertex,sF55,sF44) | ~spl103_88), 14.88/2.59 inference(forward_demodulation,[],[f713,f1524])). 14.88/2.59 tff(f2074,plain,( 14.88/2.59 ~spl103_113 | ~spl103_57), 14.88/2.59 inference(avatar_split_clause,[],[f1439,f1318,f2071])). 14.88/2.59 tff(f2071,plain,( 14.88/2.59 spl103_113 <=> mem(vertex,sF74,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_113])])). 14.88/2.59 tff(f1439,plain,( 14.88/2.59 ~mem(vertex,sF74,sF94) | ~spl103_57), 14.88/2.59 inference(superposition,[],[f933,f1320])). 14.88/2.59 tff(f2066,plain,( 14.88/2.59 ~spl103_112 | ~spl103_56), 14.88/2.59 inference(avatar_split_clause,[],[f1437,f1313,f2063])). 14.88/2.59 tff(f2063,plain,( 14.88/2.59 spl103_112 <=> mem(vertex,sF73,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_112])])). 14.88/2.59 tff(f1437,plain,( 14.88/2.59 ~mem(vertex,sF73,sF94) | ~spl103_56), 14.88/2.59 inference(superposition,[],[f933,f1315])). 14.88/2.59 tff(f2059,plain,( 14.88/2.59 ~spl103_111 | ~spl103_88 | spl103_95 | spl103_98), 14.88/2.59 inference(avatar_split_clause,[],[f2026,f1750,f1701,f1522,f2056])). 14.88/2.59 tff(f2026,plain,( 14.88/2.59 ~mem(vertex,sF55,sF44) | (~spl103_88 | spl103_95 | spl103_98)), 14.88/2.59 inference(global_subsumption,[],[f1795])). 14.88/2.59 tff(f1795,plain,( 14.88/2.59 ~mem(vertex,sF55,sF44) | (~spl103_88 | spl103_95 | spl103_98)), 14.88/2.59 inference(global_subsumption,[],[f1730,f1751])). 14.88/2.59 tff(f1730,plain,( 14.88/2.59 ~mem(vertex,sF55,sF44) | $less(sF62,sF69) | (~spl103_88 | spl103_95)), 14.88/2.59 inference(global_subsumption,[],[f1713,f1702])). 14.88/2.59 tff(f1713,plain,( 14.88/2.59 ~mem(vertex,sF55,sF44) | $less(sF62,sF69) | sK15 = sK20 | ~spl103_88), 14.88/2.59 inference(forward_demodulation,[],[f954,f1524])). 14.88/2.59 tff(f954,plain,( 14.88/2.59 $less(sF62,sF69) | ~mem(vertex,sF55,sF58) | sK15 = sK20), 14.88/2.59 inference(duplicate_literal_removal,[],[f845])). 14.88/2.59 tff(f845,plain,( 14.88/2.59 $less(sF62,sF69) | ~mem(vertex,sF55,sF58) | sK15 = sK20 | sK15 = sK20), 14.88/2.59 inference(definition_folding,[],[f343,f681,f665,f824,f823,f665,f694,f697,f663,f696,f695,f660,f694])). 14.88/2.59 tff(f343,plain,( 14.88/2.59 $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK18)))) | ~mem(vertex,t2tb2(sK18),t2tb(sK14)) | sK15 = sK20 | sK15 = sK20), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f2051,plain,( 14.88/2.59 spl103_89 | spl103_95), 14.88/2.59 inference(avatar_split_clause,[],[f2042,f1701,f1540])). 14.88/2.59 tff(f2042,plain,( 14.88/2.59 sK20 = sF65 | spl103_95), 14.88/2.59 inference(global_subsumption,[],[f1702,f1023])). 14.88/2.59 tff(f1023,plain,( 14.88/2.59 sK20 = sF65 | sK15 = sK20), 14.88/2.59 inference(subsumption_resolution,[],[f1002,f992])). 14.88/2.59 tff(f992,plain,( 14.88/2.59 sK20 = sF65 | sK15 = sK20 | mem(vertex,sF55,sF43)), 14.88/2.59 inference(duplicate_literal_removal,[],[f757])). 14.88/2.59 tff(f757,plain,( 14.88/2.59 sK20 = sF65 | sK20 = sF65 | sK15 = sK20 | mem(vertex,sF55,sF43)), 14.88/2.59 inference(definition_folding,[],[f429,f648,f665,f700,f699,f698,f697,f663,f696,f695,f660,f694,f665,f694,f700,f699,f698,f697,f663,f696,f695,f660,f694,f665,f694])). 14.88/2.59 tff(f429,plain,( 14.88/2.59 tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 | tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 | sK15 = sK20 | mem(vertex,t2tb2(sK18),t2tb(sK12))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1002,plain,( 14.88/2.59 sK20 = sF65 | ~mem(vertex,sF55,sF43) | sK15 = sK20), 14.88/2.59 inference(duplicate_literal_removal,[],[f735])). 14.88/2.59 tff(f735,plain,( 14.88/2.59 sK20 = sF65 | ~mem(vertex,sF55,sF43) | sK15 = sK20 | sK15 = sK20), 14.88/2.59 inference(definition_folding,[],[f451,f648,f665,f700,f699,f698,f697,f663,f696,f695,f660,f694,f665,f694])). 14.88/2.59 tff(f451,plain,( 14.88/2.59 tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 | ~mem(vertex,t2tb2(sK18),t2tb(sK12)) | sK15 = sK20 | sK15 = sK20), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f2017,plain,( 14.88/2.59 spl103_110 | ~spl103_43 | ~spl103_49 | ~spl103_95), 14.88/2.59 inference(avatar_split_clause,[],[f1979,f1701,f1278,f1248,f2014])). 14.88/2.59 tff(f1979,plain,( 14.88/2.59 sF49 = sF59 | (~spl103_43 | ~spl103_49 | ~spl103_95)), 14.88/2.59 inference(backward_demodulation,[],[f1280,f1978])). 14.88/2.59 tff(f1978,plain,( 14.88/2.59 t2tb1(sK15) = sF49 | (~spl103_43 | ~spl103_95)), 14.88/2.59 inference(backward_demodulation,[],[f1250,f1703])). 14.88/2.59 tff(f2012,plain,( 14.88/2.59 spl103_88 | ~spl103_38 | ~spl103_48 | spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1932,f1540,f1273,f1223,f1522])). 14.88/2.59 tff(f1932,plain,( 14.88/2.59 sF44 = sF58 | (~spl103_38 | ~spl103_48 | spl103_89)), 14.88/2.59 inference(backward_demodulation,[],[f1275,f1931])). 14.88/2.59 tff(f1931,plain,( 14.88/2.59 t2tb(sK14) = sF44 | (~spl103_38 | spl103_89)), 14.88/2.59 inference(backward_demodulation,[],[f1225,f1927])). 14.88/2.59 tff(f1927,plain,( 14.88/2.59 sK14 = sK19 | spl103_89), 14.88/2.59 inference(global_subsumption,[],[f1649])). 14.88/2.59 tff(f1649,plain,( 14.88/2.59 sK14 = sK19 | spl103_89), 14.88/2.59 inference(global_subsumption,[],[f1541,f1024])). 14.88/2.59 tff(f1024,plain,( 14.88/2.59 sK20 = sF65 | sK14 = sK19), 14.88/2.59 inference(subsumption_resolution,[],[f1001,f989])). 14.88/2.59 tff(f989,plain,( 14.88/2.59 sK20 = sF65 | sK14 = sK19 | mem(vertex,sF55,sF43)), 14.88/2.59 inference(duplicate_literal_removal,[],[f760])). 14.88/2.59 tff(f760,plain,( 14.88/2.59 sK20 = sF65 | sK20 = sF65 | sK14 = sK19 | mem(vertex,sF55,sF43)), 14.88/2.59 inference(definition_folding,[],[f426,f648,f665,f700,f699,f698,f697,f663,f696,f695,f660,f694,f665,f694,f700,f699,f698,f697,f663,f696,f695,f660,f694,f665,f694])). 14.88/2.59 tff(f426,plain,( 14.88/2.59 tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 | tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 | sK14 = sK19 | mem(vertex,t2tb2(sK18),t2tb(sK12))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1001,plain,( 14.88/2.59 sK20 = sF65 | ~mem(vertex,sF55,sF43) | sK14 = sK19), 14.88/2.59 inference(duplicate_literal_removal,[],[f737])). 14.88/2.59 tff(f737,plain,( 14.88/2.59 sK20 = sF65 | ~mem(vertex,sF55,sF43) | sK14 = sK19 | sK14 = sK19), 14.88/2.59 inference(definition_folding,[],[f449,f648,f665,f700,f699,f698,f697,f663,f696,f695,f660,f694,f665,f694])). 14.88/2.59 tff(f449,plain,( 14.88/2.59 tb2t1(set1(int,vertex,t2tb1(sK15),t2tb2(sK18),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18))))) = sK20 | ~mem(vertex,t2tb2(sK18),t2tb(sK12)) | sK14 = sK19 | sK14 = sK19), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1541,plain,( 14.88/2.59 sK20 != sF65 | spl103_89), 14.88/2.59 inference(avatar_component_clause,[],[f1540])). 14.88/2.59 tff(f2011,plain,( 14.88/2.59 spl103_90 | ~spl103_86 | spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1930,f1540,f1492,f1588])). 14.88/2.59 tff(f1930,plain,( 14.88/2.59 sK14 = sF67 | (~spl103_86 | spl103_89)), 14.88/2.59 inference(backward_demodulation,[],[f1494,f1927])). 14.88/2.59 tff(f2010,plain,( 14.88/2.59 spl103_87 | spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1927,f1540,f1496])). 14.88/2.59 tff(f1974,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1973])). 14.88/2.59 tff(f1973,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1939,plain,( 14.88/2.59 ~mem(vertex,sF55,sF44) | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_103)), 14.88/2.59 inference(backward_demodulation,[],[f1830,f1932])). 14.88/2.59 tff(f1560,plain,( 14.88/2.59 mem(vertex,sF55,sF44) | mem(vertex,sF55,sF43) | spl103_89), 14.88/2.59 inference(subsumption_resolution,[],[f1012,f1541])). 14.88/2.59 tff(f1972,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_94 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1971])). 14.88/2.59 tff(f1971,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_94 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1970,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | ~spl103_95 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1969])). 14.88/2.59 tff(f1969,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | ~spl103_95 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1968,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103 | spl103_109), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1967])). 14.88/2.59 tff(f1967,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103 | spl103_109)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1959,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1958])). 14.88/2.59 tff(f1958,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1956,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1955])). 14.88/2.59 tff(f1955,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1953,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1952])). 14.88/2.59 tff(f1952,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1951,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1950])). 14.88/2.59 tff(f1950,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1949,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | ~spl103_52 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1948])). 14.88/2.59 tff(f1948,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | ~spl103_52 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1947,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1946])). 14.88/2.59 tff(f1946,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1945,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1944])). 14.88/2.59 tff(f1944,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1943,plain,( 14.88/2.59 ~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103), 14.88/2.59 inference(avatar_contradiction_clause,[],[f1942])). 14.88/2.59 tff(f1942,plain,( 14.88/2.59 $false | (~spl103_38 | ~spl103_48 | spl103_89 | spl103_102 | spl103_103)), 14.88/2.59 inference(global_subsumption,[],[f1560,f1822,f1939])). 14.88/2.59 tff(f1926,plain,( 14.88/2.59 spl103_109 | ~spl103_43 | ~spl103_94), 14.88/2.59 inference(avatar_split_clause,[],[f1906,f1645,f1248,f1923])). 14.88/2.59 tff(f1645,plain,( 14.88/2.59 spl103_94 <=> sK20 = tb2t1(sF64)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_94])])). 14.88/2.59 tff(f1906,plain,( 14.88/2.59 sF49 = sF64 | (~spl103_43 | ~spl103_94)), 14.88/2.59 inference(forward_demodulation,[],[f1905,f1250])). 14.88/2.59 tff(f1905,plain,( 14.88/2.59 t2tb1(sK20) = sF64 | ~spl103_94), 14.88/2.59 inference(superposition,[],[f527,f1647])). 14.88/2.59 tff(f1647,plain,( 14.88/2.59 sK20 = tb2t1(sF64) | ~spl103_94), 14.88/2.59 inference(avatar_component_clause,[],[f1645])). 14.88/2.59 tff(f1903,plain,( 14.88/2.59 spl103_108 | ~spl103_29 | ~spl103_33), 14.88/2.59 inference(avatar_split_clause,[],[f1878,f1198,f1178,f1900])). 14.88/2.59 tff(f1900,plain,( 14.88/2.59 spl103_108 <=> sF79 = sF92), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_108])])). 14.88/2.59 tff(f1886,plain,( 14.88/2.59 spl103_107 | ~spl103_29 | ~spl103_70), 14.88/2.59 inference(avatar_split_clause,[],[f1875,f1383,f1178,f1883])). 14.88/2.59 tff(f1864,plain,( 14.88/2.59 ~spl103_106 | ~spl103_46), 14.88/2.59 inference(avatar_split_clause,[],[f1419,f1263,f1861])). 14.88/2.59 tff(f1861,plain,( 14.88/2.59 spl103_106 <=> mem(vertex,sF55,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_106])])). 14.88/2.59 tff(f1419,plain,( 14.88/2.59 ~mem(vertex,sF55,sF94) | ~spl103_46), 14.88/2.59 inference(superposition,[],[f933,f1265])). 14.88/2.59 tff(f1845,plain,( 14.88/2.59 ~spl103_105 | ~spl103_44), 14.88/2.59 inference(avatar_split_clause,[],[f1417,f1253,f1842])). 14.88/2.59 tff(f1842,plain,( 14.88/2.59 spl103_105 <=> mem(vertex,sF50,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_105])])). 14.88/2.59 tff(f1417,plain,( 14.88/2.59 ~mem(vertex,sF50,sF94) | ~spl103_44), 14.88/2.59 inference(superposition,[],[f933,f1255])). 14.88/2.59 tff(f1837,plain,( 14.88/2.59 ~spl103_104 | ~spl103_42), 14.88/2.59 inference(avatar_split_clause,[],[f1410,f1243,f1834])). 14.88/2.59 tff(f1834,plain,( 14.88/2.59 spl103_104 <=> mem(vertex,sF48,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_104])])). 14.88/2.59 tff(f1410,plain,( 14.88/2.59 ~mem(vertex,sF48,sF94) | ~spl103_42), 14.88/2.59 inference(superposition,[],[f933,f1245])). 14.88/2.59 tff(f1831,plain,( 14.88/2.59 ~spl103_103 | spl103_95 | spl103_98), 14.88/2.59 inference(avatar_split_clause,[],[f1811,f1750,f1701,f1828])). 14.88/2.59 tff(f1811,plain,( 14.88/2.59 ~mem(vertex,sF55,sF58) | (spl103_95 | spl103_98)), 14.88/2.59 inference(global_subsumption,[],[f954,f1751,f1702])). 14.88/2.59 tff(f1824,plain,( 14.88/2.59 spl103_91 | ~spl103_53 | spl103_95 | spl103_98), 14.88/2.59 inference(avatar_split_clause,[],[f1797,f1750,f1701,f1298,f1613])). 14.88/2.59 tff(f1797,plain,( 14.88/2.59 sK19 = tb2t(sF66) | (~spl103_53 | spl103_95 | spl103_98)), 14.88/2.59 inference(backward_demodulation,[],[f1300,f1796])). 14.88/2.59 tff(f1823,plain,( 14.88/2.59 ~spl103_102 | spl103_95 | spl103_98), 14.88/2.59 inference(avatar_split_clause,[],[f1794,f1750,f1701,f1820])). 14.88/2.59 tff(f1794,plain,( 14.88/2.59 ~mem(vertex,sF55,sF43) | (spl103_95 | spl103_98)), 14.88/2.59 inference(global_subsumption,[],[f1727,f1751])). 14.88/2.59 tff(f1727,plain,( 14.88/2.59 $less(sF62,sF69) | ~mem(vertex,sF55,sF43) | spl103_95), 14.88/2.59 inference(subsumption_resolution,[],[f956,f1702])). 14.88/2.59 tff(f956,plain,( 14.88/2.59 $less(sF62,sF69) | ~mem(vertex,sF55,sF43) | sK15 = sK20), 14.88/2.59 inference(duplicate_literal_removal,[],[f833])). 14.88/2.59 tff(f833,plain,( 14.88/2.59 $less(sF62,sF69) | ~mem(vertex,sF55,sF43) | sK15 = sK20 | sK15 = sK20), 14.88/2.59 inference(definition_folding,[],[f355,f648,f665,f824,f823,f665,f694,f697,f663,f696,f695,f660,f694])). 14.88/2.59 tff(f355,plain,( 14.88/2.59 $less($sum(tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK11))),weight1(sK11,sK18)),tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK18)))) | ~mem(vertex,t2tb2(sK18),t2tb(sK12)) | sK15 = sK20 | sK15 = sK20), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1818,plain,( 14.88/2.59 spl103_101 | ~spl103_72), 14.88/2.59 inference(avatar_split_clause,[],[f1470,f1393,f1815])). 14.88/2.59 tff(f1815,plain,( 14.88/2.59 spl103_101 <=> sort1(vertex,sF102)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_101])])). 14.88/2.59 tff(f1470,plain,( 14.88/2.59 sort1(vertex,sF102) | ~spl103_72), 14.88/2.59 inference(superposition,[],[f519,f1395])). 14.88/2.59 tff(f1810,plain,( 14.88/2.59 spl103_100 | ~spl103_48 | ~spl103_88), 14.88/2.59 inference(avatar_split_clause,[],[f1722,f1522,f1273,f1807])). 14.88/2.59 tff(f1722,plain,( 14.88/2.59 t2tb(sK14) = sF44 | (~spl103_48 | ~spl103_88)), 14.88/2.59 inference(forward_demodulation,[],[f1275,f1524])). 14.88/2.59 tff(f1804,plain,( 14.88/2.59 spl103_86 | spl103_95 | spl103_98), 14.88/2.59 inference(avatar_split_clause,[],[f1796,f1750,f1701,f1492])). 14.88/2.59 tff(f1793,plain,( 14.88/2.59 spl103_99 | ~spl103_87 | ~spl103_89 | spl103_90 | spl103_98), 14.88/2.59 inference(avatar_split_clause,[],[f1764,f1750,f1588,f1540,f1496,f1790])). 14.88/2.59 tff(f1764,plain,( 14.88/2.59 sK15 = sF65 | (~spl103_87 | ~spl103_89 | spl103_90 | spl103_98)), 14.88/2.59 inference(backward_demodulation,[],[f1542,f1761])). 14.88/2.59 tff(f1761,plain,( 14.88/2.59 sK15 = sK20 | (~spl103_87 | spl103_90 | spl103_98)), 14.88/2.59 inference(subsumption_resolution,[],[f1757,f1751])). 14.88/2.59 tff(f1757,plain,( 14.88/2.59 $less(sF62,sF69) | sK15 = sK20 | (~spl103_87 | spl103_90)), 14.88/2.59 inference(global_subsumption,[],[f1589,f1756])). 14.88/2.59 tff(f1756,plain,( 14.88/2.59 sK14 = sF67 | $less(sF62,sF69) | sK15 = sK20 | ~spl103_87), 14.88/2.59 inference(forward_demodulation,[],[f950,f1498])). 14.88/2.59 tff(f1788,plain,( 14.88/2.59 spl103_95 | ~spl103_87 | spl103_90 | spl103_98), 14.88/2.59 inference(avatar_split_clause,[],[f1761,f1750,f1588,f1496,f1701])). 14.88/2.59 tff(f1753,plain,( 14.88/2.59 spl103_98 | ~spl103_87 | ~spl103_88 | spl103_90 | spl103_95), 14.88/2.59 inference(avatar_split_clause,[],[f1745,f1701,f1588,f1522,f1496,f1750])). 14.88/2.59 tff(f1745,plain,( 14.88/2.59 $less(sF62,sF69) | (~spl103_87 | ~spl103_88 | spl103_90 | spl103_95)), 14.88/2.59 inference(subsumption_resolution,[],[f1730,f1744])). 14.88/2.59 tff(f1744,plain,( 14.88/2.59 mem(vertex,sF55,sF44) | (~spl103_87 | spl103_90 | spl103_95)), 14.88/2.59 inference(global_subsumption,[],[f1619,f1702])). 14.88/2.59 tff(f1619,plain,( 14.88/2.59 mem(vertex,sF55,sF44) | sK15 = sK20 | (~spl103_87 | spl103_90)), 14.88/2.59 inference(global_subsumption,[],[f1502,f1589])). 14.88/2.59 tff(f1502,plain,( 14.88/2.59 sK14 = sF67 | mem(vertex,sF55,sF44) | sK15 = sK20 | ~spl103_87), 14.88/2.59 inference(backward_demodulation,[],[f1005,f1498])). 14.88/2.59 tff(f1005,plain,( 14.88/2.59 mem(vertex,sF55,sF44) | sK19 = sF67 | sK15 = sK20), 14.88/2.59 inference(duplicate_literal_removal,[],[f717])). 14.88/2.59 tff(f717,plain,( 14.88/2.59 mem(vertex,sF55,sF44) | sK19 = sF67 | mem(vertex,sF55,sF44) | sK15 = sK20), 14.88/2.59 inference(definition_folding,[],[f469,f650,f665,f714,f713,f681,f665,f650,f665])). 14.88/2.59 tff(f469,plain,( 14.88/2.59 mem(vertex,t2tb2(sK18),t2tb(sK19)) | tb2t(add(vertex,t2tb2(sK18),t2tb(sK14))) = sK19 | mem(vertex,t2tb2(sK18),t2tb(sK19)) | sK15 = sK20), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1742,plain,( 14.88/2.59 spl103_97 | ~spl103_53 | ~spl103_90), 14.88/2.59 inference(avatar_split_clause,[],[f1708,f1588,f1298,f1739])). 14.88/2.59 tff(f1708,plain,( 14.88/2.59 sK14 = tb2t(sF66) | (~spl103_53 | ~spl103_90)), 14.88/2.59 inference(forward_demodulation,[],[f1300,f1590])). 14.88/2.59 tff(f1590,plain,( 14.88/2.59 sK14 = sF67 | ~spl103_90), 14.88/2.59 inference(avatar_component_clause,[],[f1588])). 14.88/2.59 tff(f1737,plain,( 14.88/2.59 spl103_96 | ~spl103_71), 14.88/2.59 inference(avatar_split_clause,[],[f1464,f1388,f1734])). 14.88/2.59 tff(f1734,plain,( 14.88/2.59 spl103_96 <=> is_empty(vertex,sF99)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_96])])). 14.88/2.59 tff(f1464,plain,( 14.88/2.59 is_empty(vertex,sF99) | ~spl103_71), 14.88/2.59 inference(superposition,[],[f520,f1390])). 14.88/2.59 tff(f520,plain,( 14.88/2.59 ( ! [X0 : ty] : (is_empty(X0,empty(X0))) )), 14.88/2.59 inference(cnf_transformation,[],[f38])). 14.88/2.59 tff(f38,axiom,( 14.88/2.59 ! [X0 : ty] : is_empty(X0,empty(X0))), 14.88/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_def1)). 14.88/2.59 tff(f1732,plain,( 14.88/2.59 spl103_94 | ~spl103_52 | ~spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1706,f1540,f1293,f1645])). 14.88/2.59 tff(f1293,plain,( 14.88/2.59 spl103_52 <=> tb2t1(sF64) = sF65), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_52])])). 14.88/2.59 tff(f1706,plain,( 14.88/2.59 sK20 = tb2t1(sF64) | (~spl103_52 | ~spl103_89)), 14.88/2.59 inference(backward_demodulation,[],[f1295,f1705])). 14.88/2.59 tff(f1705,plain,( 14.88/2.59 sK20 = sF65 | ~spl103_89), 14.88/2.59 inference(global_subsumption,[],[f1542])). 14.88/2.59 tff(f1295,plain,( 14.88/2.59 tb2t1(sF64) = sF65 | ~spl103_52), 14.88/2.59 inference(avatar_component_clause,[],[f1293])). 14.88/2.59 tff(f1704,plain,( 14.88/2.59 spl103_95 | ~spl103_38 | ~spl103_48 | spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1663,f1540,f1273,f1223,f1701])). 14.88/2.59 tff(f1663,plain,( 14.88/2.59 sK15 = sK20 | (~spl103_38 | ~spl103_48 | spl103_89)), 14.88/2.59 inference(global_subsumption,[],[f1562])). 14.88/2.59 tff(f1562,plain,( 14.88/2.59 sK15 = sK20 | spl103_89), 14.88/2.59 inference(subsumption_resolution,[],[f1023,f1541])). 14.88/2.59 tff(f1699,plain,( 14.88/2.59 spl103_88 | ~spl103_38 | ~spl103_48 | spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1653,f1540,f1273,f1223,f1522])). 14.88/2.59 tff(f1653,plain,( 14.88/2.59 sF44 = sF58 | (~spl103_38 | ~spl103_48 | spl103_89)), 14.88/2.59 inference(backward_demodulation,[],[f1275,f1652])). 14.88/2.59 tff(f1652,plain,( 14.88/2.59 t2tb(sK14) = sF44 | (~spl103_38 | spl103_89)), 14.88/2.59 inference(backward_demodulation,[],[f1225,f1649])). 14.88/2.59 tff(f1698,plain,( 14.88/2.59 spl103_90 | ~spl103_86 | spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1651,f1540,f1492,f1588])). 14.88/2.59 tff(f1651,plain,( 14.88/2.59 sK14 = sF67 | (~spl103_86 | spl103_89)), 14.88/2.59 inference(backward_demodulation,[],[f1494,f1649])). 14.88/2.59 tff(f1697,plain,( 14.88/2.59 spl103_87 | spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1649,f1540,f1496])). 14.88/2.59 tff(f1648,plain,( 14.88/2.59 spl103_94 | ~spl103_52 | ~spl103_89), 14.88/2.59 inference(avatar_split_clause,[],[f1621,f1540,f1293,f1645])). 14.88/2.59 tff(f1621,plain,( 14.88/2.59 sK20 = tb2t1(sF64) | (~spl103_52 | ~spl103_89)), 14.88/2.59 inference(forward_demodulation,[],[f1295,f1542])). 14.88/2.59 tff(f1643,plain,( 14.88/2.59 spl103_93 | ~spl103_70), 14.88/2.59 inference(avatar_split_clause,[],[f1463,f1383,f1640])). 14.88/2.59 tff(f1463,plain,( 14.88/2.59 sort1(int,sF96) | ~spl103_70), 14.88/2.59 inference(superposition,[],[f518,f1385])). 14.88/2.59 tff(f518,plain,( 14.88/2.59 ( ! [X0 : $int] : (sort1(int,t2tb3(X0))) )), 14.88/2.59 inference(cnf_transformation,[],[f96])). 14.88/2.59 tff(f96,plain,( 14.88/2.59 ! [X0 : $int] : sort1(int,t2tb3(X0))), 14.88/2.59 inference(rectify,[],[f26])). 14.88/2.59 tff(f26,axiom,( 14.88/2.59 ! [X7 : $int] : sort1(int,t2tb3(X7))), 14.88/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort3)). 14.88/2.59 tff(f1637,plain,( 14.88/2.59 spl103_86 | spl103_87), 14.88/2.59 inference(avatar_split_clause,[],[f1631,f1496,f1492])). 14.88/2.59 tff(f1631,plain,( 14.88/2.59 sK19 = sF67 | spl103_87), 14.88/2.59 inference(global_subsumption,[],[f1535])). 14.88/2.59 tff(f1535,plain,( 14.88/2.59 sK19 = sF67 | spl103_87), 14.88/2.59 inference(global_subsumption,[],[f958,f1497])). 14.88/2.59 tff(f958,plain,( 14.88/2.59 sK14 = sK19 | sK19 = sF67), 14.88/2.59 inference(duplicate_literal_removal,[],[f821])). 14.88/2.59 tff(f821,plain,( 14.88/2.59 sK14 = sK19 | sK19 = sF67 | sK14 = sK19 | sK14 = sK19), 14.88/2.59 inference(definition_folding,[],[f365,f714,f713,f681,f665])). 14.88/2.59 tff(f365,plain,( 14.88/2.59 sK14 = sK19 | tb2t(add(vertex,t2tb2(sK18),t2tb(sK14))) = sK19 | sK14 = sK19 | sK14 = sK19), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1630,plain,( 14.88/2.59 spl103_92 | ~spl103_18 | ~spl103_88), 14.88/2.59 inference(avatar_split_clause,[],[f1595,f1522,f1123,f1627])). 14.88/2.59 tff(f1595,plain,( 14.88/2.59 subset(vertex,sF44,sF77) | (~spl103_18 | ~spl103_88)), 14.88/2.59 inference(forward_demodulation,[],[f1125,f1524])). 14.88/2.59 tff(f1616,plain,( 14.88/2.59 spl103_91 | ~spl103_53 | ~spl103_86), 14.88/2.59 inference(avatar_split_clause,[],[f1544,f1492,f1298,f1613])). 14.88/2.59 tff(f1544,plain,( 14.88/2.59 sK19 = tb2t(sF66) | (~spl103_53 | ~spl103_86)), 14.88/2.59 inference(forward_demodulation,[],[f1300,f1494])). 14.88/2.59 tff(f1611,plain,( 14.88/2.59 spl103_89 | spl103_87), 14.88/2.59 inference(avatar_split_clause,[],[f1606,f1496,f1540])). 14.88/2.59 tff(f1606,plain,( 14.88/2.59 sK20 = sF65 | spl103_87), 14.88/2.59 inference(global_subsumption,[],[f1533])). 14.88/2.59 tff(f1533,plain,( 14.88/2.59 sK20 = sF65 | spl103_87), 14.88/2.59 inference(global_subsumption,[],[f1024,f1497])). 14.88/2.59 tff(f1591,plain,( 14.88/2.59 spl103_90 | ~spl103_86 | ~spl103_87), 14.88/2.59 inference(avatar_split_clause,[],[f1547,f1496,f1492,f1588])). 14.88/2.59 tff(f1547,plain,( 14.88/2.59 sK14 = sF67 | (~spl103_86 | ~spl103_87)), 14.88/2.59 inference(backward_demodulation,[],[f1494,f1545])). 14.88/2.59 tff(f1545,plain,( 14.88/2.59 sK14 = sK19 | ~spl103_87), 14.88/2.59 inference(global_subsumption,[],[f1498])). 14.88/2.59 tff(f1543,plain,( 14.88/2.59 spl103_89 | spl103_87), 14.88/2.59 inference(avatar_split_clause,[],[f1533,f1496,f1540])). 14.88/2.59 tff(f1525,plain,( 14.88/2.59 spl103_88 | ~spl103_38 | ~spl103_48 | ~spl103_87), 14.88/2.59 inference(avatar_split_clause,[],[f1505,f1496,f1273,f1223,f1522])). 14.88/2.59 tff(f1505,plain,( 14.88/2.59 sF44 = sF58 | (~spl103_38 | ~spl103_48 | ~spl103_87)), 14.88/2.59 inference(backward_demodulation,[],[f1275,f1504])). 14.88/2.59 tff(f1504,plain,( 14.88/2.59 t2tb(sK14) = sF44 | (~spl103_38 | ~spl103_87)), 14.88/2.59 inference(backward_demodulation,[],[f1225,f1498])). 14.88/2.59 tff(f1499,plain,( 14.88/2.59 spl103_86 | spl103_87), 14.88/2.59 inference(avatar_split_clause,[],[f958,f1496,f1492])). 14.88/2.59 tff(f1489,plain,( 14.88/2.59 spl103_84 | spl103_85), 14.88/2.59 inference(avatar_split_clause,[],[f668,f1486,f1482])). 14.88/2.59 tff(f668,plain,( 14.88/2.59 sF54 = sF57 | $less(sF57,sF54)), 14.88/2.59 inference(definition_folding,[],[f508,f664,f663,f662,f661,f660,f659,f667,f666,f665,f659,f667,f666,f665,f659,f664,f663,f662,f661,f660,f659])). 14.88/2.59 tff(f667,plain,( 14.88/2.59 tb2t3(sF56) = sF57), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f659,plain,( 14.88/2.59 t2tb1(sK20) = sF49), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f662,plain,( 14.88/2.59 tb2t3(sF51) = sF52), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f508,plain,( 14.88/2.59 $sum(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK11))),weight1(sK11,sK18)) = tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK18))) | $less(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK18))),$sum(tb2t3(get(int,vertex,t2tb1(sK20),t2tb2(sK11))),weight1(sK11,sK18)))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1480,plain,( 14.88/2.59 spl103_83 | ~spl103_67), 14.88/2.59 inference(avatar_split_clause,[],[f1459,f1368,f1477])). 14.88/2.59 tff(f1477,plain,( 14.88/2.59 spl103_83 <=> sort1(vertex,sF91)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_83])])). 14.88/2.59 tff(f1459,plain,( 14.88/2.59 sort1(vertex,sF91) | ~spl103_67), 14.88/2.59 inference(superposition,[],[f519,f1370])). 14.88/2.59 tff(f1469,plain,( 14.88/2.59 spl103_82 | ~spl103_66), 14.88/2.59 inference(avatar_split_clause,[],[f1457,f1363,f1466])). 14.88/2.59 tff(f1466,plain,( 14.88/2.59 spl103_82 <=> sort1(vertex,sF90)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_82])])). 14.88/2.59 tff(f1457,plain,( 14.88/2.59 sort1(vertex,sF90) | ~spl103_66), 14.88/2.59 inference(superposition,[],[f519,f1365])). 14.88/2.59 tff(f1456,plain,( 14.88/2.59 spl103_81 | ~spl103_61), 14.88/2.59 inference(avatar_split_clause,[],[f1445,f1338,f1453])). 14.88/2.59 tff(f1445,plain,( 14.88/2.59 sort1(vertex,sF78) | ~spl103_61), 14.88/2.59 inference(superposition,[],[f519,f1340])). 14.88/2.59 tff(f1451,plain,( 14.88/2.59 spl103_80 | ~spl103_57), 14.88/2.59 inference(avatar_split_clause,[],[f1438,f1318,f1448])). 14.88/2.59 tff(f1448,plain,( 14.88/2.59 spl103_80 <=> sort1(vertex,sF74)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_80])])). 14.88/2.59 tff(f1438,plain,( 14.88/2.59 sort1(vertex,sF74) | ~spl103_57), 14.88/2.59 inference(superposition,[],[f519,f1320])). 14.88/2.59 tff(f1444,plain,( 14.88/2.59 spl103_79 | ~spl103_56), 14.88/2.59 inference(avatar_split_clause,[],[f1436,f1313,f1441])). 14.88/2.59 tff(f1441,plain,( 14.88/2.59 spl103_79 <=> sort1(vertex,sF73)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_79])])). 14.88/2.59 tff(f1436,plain,( 14.88/2.59 sort1(vertex,sF73) | ~spl103_56), 14.88/2.59 inference(superposition,[],[f519,f1315])). 14.88/2.59 tff(f1435,plain,( 14.88/2.59 spl103_78 | ~spl103_51), 14.88/2.59 inference(avatar_split_clause,[],[f1430,f1288,f1432])). 14.88/2.59 tff(f1430,plain,( 14.88/2.59 sort1(int,sF63) | ~spl103_51), 14.88/2.59 inference(superposition,[],[f518,f1290])). 14.88/2.59 tff(f1429,plain,( 14.88/2.59 spl103_77 | ~spl103_46), 14.88/2.59 inference(avatar_split_clause,[],[f1418,f1263,f1426])). 14.88/2.59 tff(f1418,plain,( 14.88/2.59 sort1(vertex,sF55) | ~spl103_46), 14.88/2.59 inference(superposition,[],[f519,f1265])). 14.88/2.59 tff(f1424,plain,( 14.88/2.59 spl103_76 | ~spl103_44), 14.88/2.59 inference(avatar_split_clause,[],[f1416,f1253,f1421])). 14.88/2.59 tff(f1415,plain,( 14.88/2.59 spl103_75 | ~spl103_42), 14.88/2.59 inference(avatar_split_clause,[],[f1409,f1243,f1412])). 14.88/2.59 tff(f1408,plain,( 14.88/2.59 ~spl103_74 | ~spl103_36), 14.88/2.59 inference(avatar_split_clause,[],[f1398,f1213,f1405])). 14.88/2.59 tff(f1405,plain,( 14.88/2.59 spl103_74 <=> mem(vertex,sF42,sF94)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_74])])). 14.88/2.59 tff(f1398,plain,( 14.88/2.59 ~mem(vertex,sF42,sF94) | ~spl103_36), 14.88/2.59 inference(superposition,[],[f933,f1215])). 14.88/2.59 tff(f1403,plain,( 14.88/2.59 spl103_73 | ~spl103_36), 14.88/2.59 inference(avatar_split_clause,[],[f1397,f1213,f1400])). 14.88/2.59 tff(f1397,plain,( 14.88/2.59 sort1(vertex,sF42) | ~spl103_36), 14.88/2.59 inference(superposition,[],[f519,f1215])). 14.88/2.59 tff(f1396,plain,( 14.88/2.59 spl103_72), 14.88/2.59 inference(avatar_split_clause,[],[f943,f1393])). 14.88/2.59 tff(f943,plain,( 14.88/2.59 t2tb2(sK1) = sF102), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1391,plain,( 14.88/2.59 spl103_71), 14.88/2.59 inference(avatar_split_clause,[],[f939,f1388])). 14.88/2.59 tff(f939,plain,( 14.88/2.59 empty(vertex) = sF99), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1386,plain,( 14.88/2.59 spl103_70), 14.88/2.59 inference(avatar_split_clause,[],[f935,f1383])). 14.88/2.59 tff(f935,plain,( 14.88/2.59 t2tb3(0) = sF96), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1381,plain,( 14.88/2.59 spl103_69), 14.88/2.59 inference(avatar_split_clause,[],[f934,f1378])). 14.88/2.59 tff(f934,plain,( 14.88/2.59 t2tb1(sK2) = sF95), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1376,plain,( 14.88/2.59 spl103_68), 14.88/2.59 inference(avatar_split_clause,[],[f932,f1373])). 14.88/2.59 tff(f1371,plain,( 14.88/2.59 spl103_67), 14.88/2.59 inference(avatar_split_clause,[],[f917,f1368])). 14.88/2.59 tff(f1366,plain,( 14.88/2.59 spl103_66), 14.88/2.59 inference(avatar_split_clause,[],[f915,f1363])). 14.88/2.59 tff(f1361,plain,( 14.88/2.59 spl103_65), 14.88/2.59 inference(avatar_split_clause,[],[f909,f1358])). 14.88/2.59 tff(f1356,plain,( 14.88/2.59 spl103_64), 14.88/2.59 inference(avatar_split_clause,[],[f906,f1353])). 14.88/2.59 tff(f1351,plain,( 14.88/2.59 spl103_63), 14.88/2.59 inference(avatar_split_clause,[],[f904,f1348])). 14.88/2.59 tff(f1346,plain,( 14.88/2.59 spl103_62), 14.88/2.59 inference(avatar_split_clause,[],[f900,f1343])). 14.88/2.59 tff(f1341,plain,( 14.88/2.59 spl103_61), 14.88/2.59 inference(avatar_split_clause,[],[f895,f1338])). 14.88/2.59 tff(f895,plain,( 14.88/2.59 t2tb2(sK0) = sF78), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1336,plain,( 14.88/2.59 spl103_60), 14.88/2.59 inference(avatar_split_clause,[],[f892,f1333])). 14.88/2.59 tff(f1331,plain,( 14.88/2.59 spl103_59), 14.88/2.59 inference(avatar_split_clause,[],[f885,f1328])). 14.88/2.59 tff(f1326,plain,( 14.88/2.59 spl103_58), 14.88/2.59 inference(avatar_split_clause,[],[f884,f1323])). 14.88/2.59 tff(f1321,plain,( 14.88/2.59 spl103_57), 14.88/2.59 inference(avatar_split_clause,[],[f880,f1318])). 14.88/2.59 tff(f1316,plain,( 14.88/2.59 spl103_56), 14.88/2.59 inference(avatar_split_clause,[],[f878,f1313])). 14.88/2.59 tff(f1311,plain,( 14.88/2.59 spl103_55), 14.88/2.59 inference(avatar_split_clause,[],[f873,f1308])). 14.88/2.59 tff(f1306,plain,( 14.88/2.59 spl103_54), 14.88/2.59 inference(avatar_split_clause,[],[f824,f1303])). 14.88/2.59 tff(f1301,plain,( 14.88/2.59 spl103_53), 14.88/2.59 inference(avatar_split_clause,[],[f714,f1298])). 14.88/2.59 tff(f1296,plain,( 14.88/2.59 spl103_52), 14.88/2.59 inference(avatar_split_clause,[],[f700,f1293])). 14.88/2.59 tff(f1291,plain,( 14.88/2.59 spl103_51), 14.88/2.59 inference(avatar_split_clause,[],[f698,f1288])). 14.88/2.59 tff(f1286,plain,( 14.88/2.59 spl103_50), 14.88/2.59 inference(avatar_split_clause,[],[f696,f1283])). 14.88/2.59 tff(f1281,plain,( 14.88/2.59 spl103_49), 14.88/2.59 inference(avatar_split_clause,[],[f694,f1278])). 14.88/2.59 tff(f1276,plain,( 14.88/2.59 spl103_48), 14.88/2.59 inference(avatar_split_clause,[],[f681,f1273])). 14.88/2.59 tff(f1271,plain,( 14.88/2.59 spl103_47), 14.88/2.59 inference(avatar_split_clause,[],[f667,f1268])). 14.88/2.59 tff(f1266,plain,( 14.88/2.59 spl103_46), 14.88/2.59 inference(avatar_split_clause,[],[f665,f1263])). 14.88/2.59 tff(f1261,plain,( 14.88/2.59 spl103_45), 14.88/2.59 inference(avatar_split_clause,[],[f662,f1258])). 14.88/2.59 tff(f1256,plain,( 14.88/2.59 spl103_44), 14.88/2.59 inference(avatar_split_clause,[],[f660,f1253])). 14.88/2.59 tff(f1251,plain,( 14.88/2.59 spl103_43), 14.88/2.59 inference(avatar_split_clause,[],[f659,f1248])). 14.88/2.59 tff(f1246,plain,( 14.88/2.59 spl103_42), 14.88/2.59 inference(avatar_split_clause,[],[f657,f1243])). 14.88/2.59 tff(f1241,plain,( 14.88/2.59 spl103_41), 14.88/2.59 inference(avatar_split_clause,[],[f655,f1238])). 14.88/2.59 tff(f1236,plain,( 14.88/2.59 spl103_40), 14.88/2.59 inference(avatar_split_clause,[],[f654,f1233])). 14.88/2.59 tff(f1231,plain,( 14.88/2.59 spl103_39), 14.88/2.59 inference(avatar_split_clause,[],[f652,f1228])). 14.88/2.59 tff(f1226,plain,( 14.88/2.59 spl103_38), 14.88/2.59 inference(avatar_split_clause,[],[f650,f1223])). 14.88/2.59 tff(f1221,plain,( 14.88/2.59 spl103_37), 14.88/2.59 inference(avatar_split_clause,[],[f648,f1218])). 14.88/2.59 tff(f1216,plain,( 14.88/2.59 spl103_36), 14.88/2.59 inference(avatar_split_clause,[],[f647,f1213])). 14.88/2.59 tff(f1211,plain,( 14.88/2.59 spl103_35), 14.88/2.59 inference(avatar_split_clause,[],[f1032,f1208])). 14.88/2.59 tff(f1032,plain,( 14.88/2.59 sK3 = tb2t(sF100)), 14.88/2.59 inference(backward_demodulation,[],[f941,f942])). 14.88/2.59 tff(f942,plain,( 14.88/2.59 sK3 = sF101), 14.88/2.59 inference(definition_folding,[],[f274,f941,f940,f939,f895])). 14.88/2.59 tff(f274,plain,( 14.88/2.59 tb2t(add(vertex,t2tb2(sK0),empty(vertex))) = sK3), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f941,plain,( 14.88/2.59 tb2t(sF100) = sF101), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1206,plain,( 14.88/2.59 spl103_34), 14.88/2.59 inference(avatar_split_clause,[],[f1031,f1203])). 14.88/2.59 tff(f1031,plain,( 14.88/2.59 sK4 = tb2t1(sF97)), 14.88/2.59 inference(backward_demodulation,[],[f937,f938])). 14.88/2.59 tff(f938,plain,( 14.88/2.59 sK4 = sF98), 14.88/2.59 inference(definition_folding,[],[f275,f937,f936,f935,f895,f934])). 14.88/2.59 tff(f275,plain,( 14.88/2.59 tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),t2tb3(0))) = sK4), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f937,plain,( 14.88/2.59 tb2t1(sF97) = sF98), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1201,plain,( 14.88/2.59 spl103_33), 14.88/2.59 inference(avatar_split_clause,[],[f1030,f1198])). 14.88/2.59 tff(f1030,plain,( 14.88/2.59 0 = tb2t3(sF92)), 14.88/2.59 inference(backward_demodulation,[],[f930,f931])). 14.88/2.59 tff(f931,plain,( 14.88/2.59 0 = sF93), 14.88/2.59 inference(definition_folding,[],[f278,f930,f929,f895,f904])). 14.88/2.59 tff(f278,plain,( 14.88/2.59 0 = tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK0)))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f930,plain,( 14.88/2.59 tb2t3(sF92) = sF93), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1196,plain,( 14.88/2.59 spl103_32), 14.88/2.59 inference(avatar_split_clause,[],[f1029,f1193])). 14.88/2.59 tff(f1191,plain,( 14.88/2.59 spl103_31), 14.88/2.59 inference(avatar_split_clause,[],[f1028,f1188])). 14.88/2.59 tff(f1028,plain,( 14.88/2.59 sK10 = tb2t(sF88)), 14.88/2.59 inference(backward_demodulation,[],[f911,f912])). 14.88/2.59 tff(f912,plain,( 14.88/2.59 sK10 = sF89), 14.88/2.59 inference(definition_folding,[],[f294,f911,f910,f909,f660])). 14.88/2.59 tff(f294,plain,( 14.88/2.59 sK10 = tb2t(remove(vertex,t2tb2(sK11),t2tb(sK6)))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f911,plain,( 14.88/2.59 tb2t(sF88) = sF89), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1186,plain,( 14.88/2.59 spl103_30), 14.88/2.59 inference(avatar_split_clause,[],[f1027,f1183])). 14.88/2.59 tff(f1027,plain,( 14.88/2.59 sK12 = tb2t(sF82)), 14.88/2.59 inference(backward_demodulation,[],[f902,f903])). 14.88/2.59 tff(f903,plain,( 14.88/2.59 sK12 = sF83), 14.88/2.59 inference(definition_folding,[],[f297,f902,f901,f900,f660])). 14.88/2.59 tff(f297,plain,( 14.88/2.59 tb2t(add(vertex,t2tb2(sK11),t2tb(sK8))) = sK12), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f902,plain,( 14.88/2.59 tb2t(sF82) = sF83), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1181,plain,( 14.88/2.59 spl103_29), 14.88/2.59 inference(avatar_split_clause,[],[f1026,f1178])). 14.88/2.59 tff(f1026,plain,( 14.88/2.59 0 = tb2t3(sF79)), 14.88/2.59 inference(backward_demodulation,[],[f897,f898])). 14.88/2.59 tff(f898,plain,( 14.88/2.59 0 = sF80), 14.88/2.59 inference(definition_folding,[],[f299,f897,f896,f895,f694])). 14.88/2.59 tff(f299,plain,( 14.88/2.59 0 = tb2t3(get(int,vertex,t2tb1(sK15),t2tb2(sK0)))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f897,plain,( 14.88/2.59 tb2t3(sF79) = sF80), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1176,plain,( 14.88/2.59 spl103_28), 14.88/2.59 inference(avatar_split_clause,[],[f1025,f1173])). 14.88/2.59 tff(f1025,plain,( 14.88/2.59 sK17 = tb2t(sF71)), 14.88/2.59 inference(backward_demodulation,[],[f876,f877])). 14.88/2.59 tff(f877,plain,( 14.88/2.59 sK17 = sF72), 14.88/2.59 inference(definition_folding,[],[f314,f876,f875,f873,f665])). 14.88/2.59 tff(f314,plain,( 14.88/2.59 sK17 = tb2t(remove(vertex,t2tb2(sK18),t2tb(sK13)))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f876,plain,( 14.88/2.59 tb2t(sF71) = sF72), 14.88/2.59 introduced(function_definition,[])). 14.88/2.59 tff(f1171,plain,( 14.88/2.59 spl103_27), 14.88/2.59 inference(avatar_split_clause,[],[f948,f1168])). 14.88/2.59 tff(f1168,plain,( 14.88/2.59 spl103_27 <=> mem(vertex,sF74,sF70)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_27])])). 14.88/2.59 tff(f1166,plain,( 14.88/2.59 spl103_26), 14.88/2.59 inference(avatar_split_clause,[],[f945,f1163])). 14.88/2.59 tff(f945,plain,( 14.88/2.59 mem(vertex,sF78,sF77)), 14.88/2.59 inference(definition_folding,[],[f272,f892,f895])). 14.88/2.59 tff(f272,plain,( 14.88/2.59 mem(vertex,t2tb2(sK0),t2tb(v1))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1161,plain,( 14.88/2.59 spl103_25), 14.88/2.59 inference(avatar_split_clause,[],[f944,f1158])). 14.88/2.59 tff(f1158,plain,( 14.88/2.59 spl103_25 <=> mem(vertex,sF102,sF77)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_25])])). 14.88/2.59 tff(f944,plain,( 14.88/2.59 mem(vertex,sF102,sF77)), 14.88/2.59 inference(definition_folding,[],[f273,f892,f943])). 14.88/2.59 tff(f273,plain,( 14.88/2.59 mem(vertex,t2tb2(sK1),t2tb(v1))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1156,plain,( 14.88/2.59 spl103_24), 14.88/2.59 inference(avatar_split_clause,[],[f928,f1153])). 14.88/2.59 tff(f928,plain,( 14.88/2.59 subset(vertex,sF87,sF77)), 14.88/2.59 inference(definition_folding,[],[f279,f892,f909])). 14.88/2.59 tff(f279,plain,( 14.88/2.59 subset(vertex,t2tb(sK6),t2tb(v1))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1151,plain,( 14.88/2.59 spl103_23), 14.88/2.59 inference(avatar_split_clause,[],[f920,f1148])). 14.88/2.59 tff(f1148,plain,( 14.88/2.59 spl103_23 <=> subset(vertex,sF81,sF77)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_23])])). 14.88/2.59 tff(f920,plain,( 14.88/2.59 subset(vertex,sF81,sF77)), 14.88/2.59 inference(definition_folding,[],[f287,f892,f900])). 14.88/2.59 tff(f287,plain,( 14.88/2.59 subset(vertex,t2tb(sK8),t2tb(v1))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1146,plain,( 14.88/2.59 spl103_22), 14.88/2.59 inference(avatar_split_clause,[],[f916,f1143])). 14.88/2.59 tff(f1141,plain,( 14.88/2.59 spl103_21), 14.88/2.59 inference(avatar_split_clause,[],[f914,f1138])). 14.88/2.59 tff(f1136,plain,( 14.88/2.59 spl103_20), 14.88/2.59 inference(avatar_split_clause,[],[f908,f1133])). 14.88/2.59 tff(f908,plain,( 14.88/2.59 path1(sK0,sK11,sF86)), 14.88/2.59 inference(definition_folding,[],[f295,f906,f905,f660,f904])). 14.88/2.59 tff(f295,plain,( 14.88/2.59 path1(sK0,sK11,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK11))))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1131,plain,( 14.88/2.59 spl103_19), 14.88/2.59 inference(avatar_split_clause,[],[f894,f1128])). 14.88/2.59 tff(f894,plain,( 14.88/2.59 subset(vertex,sF43,sF77)), 14.88/2.59 inference(definition_folding,[],[f300,f892,f648])). 14.88/2.59 tff(f300,plain,( 14.88/2.59 subset(vertex,t2tb(sK12),t2tb(v1))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1126,plain,( 14.88/2.59 spl103_18), 14.88/2.59 inference(avatar_split_clause,[],[f893,f1123])). 14.88/2.59 tff(f893,plain,( 14.88/2.59 subset(vertex,sF58,sF77)), 14.88/2.59 inference(definition_folding,[],[f301,f892,f681])). 14.88/2.59 tff(f301,plain,( 14.88/2.59 subset(vertex,t2tb(sK14),t2tb(v1))), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1121,plain,( 14.88/2.59 spl103_17), 14.88/2.59 inference(avatar_split_clause,[],[f879,f1118])). 14.88/2.59 tff(f1118,plain,( 14.88/2.59 spl103_17 <=> mem(vertex,sF73,sF70)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_17])])). 14.88/2.59 tff(f1116,plain,( 14.88/2.59 spl103_16), 14.88/2.59 inference(avatar_split_clause,[],[f874,f1113])). 14.88/2.59 tff(f1111,plain,( 14.88/2.59 spl103_15), 14.88/2.59 inference(avatar_split_clause,[],[f658,f1108])). 14.88/2.59 tff(f1106,plain,( 14.88/2.59 spl103_14), 14.88/2.59 inference(avatar_split_clause,[],[f656,f1103])). 14.88/2.59 tff(f1101,plain,( 14.88/2.59 ~spl103_13), 14.88/2.59 inference(avatar_split_clause,[],[f651,f1098])). 14.88/2.59 tff(f1098,plain,( 14.88/2.59 spl103_13 <=> mem(vertex,sF42,sF44)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_13])])). 14.88/2.59 tff(f1096,plain,( 14.88/2.59 ~spl103_12), 14.88/2.59 inference(avatar_split_clause,[],[f649,f1093])). 14.88/2.59 tff(f1093,plain,( 14.88/2.59 spl103_12 <=> mem(vertex,sF42,sF43)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_12])])). 14.88/2.59 tff(f1091,plain,( 14.88/2.59 spl103_11), 14.88/2.59 inference(avatar_split_clause,[],[f309,f1088])). 14.88/2.59 tff(f1088,plain,( 14.88/2.59 spl103_11 <=> inv_src1(sK0,sK12,sK14)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_11])])). 14.88/2.59 tff(f309,plain,( 14.88/2.59 inv_src1(sK0,sK12,sK14)), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1086,plain,( 14.88/2.59 spl103_10), 14.88/2.59 inference(avatar_split_clause,[],[f277,f1083])). 14.88/2.59 tff(f1083,plain,( 14.88/2.59 spl103_10 <=> inv_src1(sK0,sK8,sK6)), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_10])])). 14.88/2.59 tff(f277,plain,( 14.88/2.59 inv_src1(sK0,sK8,sK6)), 14.88/2.59 inference(cnf_transformation,[],[f239])). 14.88/2.59 tff(f1078,plain,( 14.88/2.59 spl103_9), 14.88/2.59 inference(avatar_split_clause,[],[f942,f1075])). 14.88/2.59 tff(f1075,plain,( 14.88/2.59 spl103_9 <=> sK3 = sF101), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_9])])). 14.88/2.59 tff(f1073,plain,( 14.88/2.59 spl103_8), 14.88/2.59 inference(avatar_split_clause,[],[f938,f1070])). 14.88/2.59 tff(f1070,plain,( 14.88/2.59 spl103_8 <=> sK4 = sF98), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_8])])). 14.88/2.59 tff(f1068,plain,( 14.88/2.59 spl103_7), 14.88/2.59 inference(avatar_split_clause,[],[f931,f1065])). 14.88/2.59 tff(f1065,plain,( 14.88/2.59 spl103_7 <=> 0 = sF93), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_7])])). 14.88/2.59 tff(f1063,plain,( 14.88/2.59 spl103_6), 14.88/2.59 inference(avatar_split_clause,[],[f912,f1060])). 14.88/2.59 tff(f1060,plain,( 14.88/2.59 spl103_6 <=> sK10 = sF89), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_6])])). 14.88/2.59 tff(f1058,plain,( 14.88/2.59 spl103_5), 14.88/2.59 inference(avatar_split_clause,[],[f903,f1055])). 14.88/2.59 tff(f1055,plain,( 14.88/2.59 spl103_5 <=> sK12 = sF83), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_5])])). 14.88/2.59 tff(f1053,plain,( 14.88/2.59 spl103_4), 14.88/2.59 inference(avatar_split_clause,[],[f898,f1050])). 14.88/2.59 tff(f1050,plain,( 14.88/2.59 spl103_4 <=> 0 = sF80), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_4])])). 14.88/2.59 tff(f1048,plain,( 14.88/2.59 spl103_3), 14.88/2.59 inference(avatar_split_clause,[],[f877,f1045])). 14.88/2.59 tff(f1045,plain,( 14.88/2.59 spl103_3 <=> sK17 = sF72), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_3])])). 14.88/2.59 tff(f1043,plain,( 14.88/2.59 ~spl103_2), 14.88/2.59 inference(avatar_split_clause,[],[f639,f1040])). 14.88/2.59 tff(f1040,plain,( 14.88/2.59 spl103_2 <=> false1 = sK16), 14.88/2.59 introduced(avatar_definition,[new_symbols(naming,[spl103_2])])). 14.88/2.59 tff(f639,plain,( 14.88/2.59 false1 != sK16), 14.88/2.59 inference(definition_unfolding,[],[f515,f312])). 14.88/2.59 tff(f515,plain,( 14.88/2.59 false1 != true1), 14.88/2.59 inference(cnf_transformation,[],[f72])). 14.88/2.59 tff(f72,axiom,( 14.88/2.59 false1 != true1), 14.88/2.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 14.88/2.59 tff(f1038,plain,( 14.88/2.59 ~spl103_1), 14.88/2.59 inference(avatar_split_clause,[],[f636,f1035])). 14.88/2.59 % SZS output end Proof for theBenchmark 14.88/2.59 % (18889)------------------------------ 14.88/2.59 % (18889)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 14.88/2.59 % (18889)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 14.88/2.59 % (18889)Termination reason: Refutation 14.88/2.59 14.88/2.59 % (18889)Memory used [KB]: 19061 14.88/2.59 % (18889)Time elapsed: 2.105 s 14.88/2.59 % (18889)------------------------------ 14.88/2.59 % (18889)------------------------------ 14.88/2.59 % (18882)Success in time 2.197 s 14.88/2.59 % Vampire---4.8 exiting 14.88/2.59 EOF