TSTP Solution File: SWC325-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC325-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:13:02 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 201
% Syntax : Number of formulae : 783 ( 271 unt; 0 def)
% Number of atoms : 1905 ( 845 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2428 (1306 ~;1116 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 7 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 953 ( 953 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1277,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f254,f262,f264,f679,f1264,f1276]) ).
fof(f1276,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1275,plain,
( $false
| spl0_2
| ~ spl0_4 ),
inference(global_subsumption,[],[f194,f195,f193,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f109,f104,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f73,f331,f332,f327,f328,f74,f359,f360,f365,f366,f361,f362,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f334,f335,f336,f337,f338,f339,f340,f75,f369,f370,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f76,f352,f353,f354,f80,f82,f84,f85,f387,f388,f86,f438,f439,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f321,f322,f323,f324,f325,f326,f355,f356,f357,f358,f96,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f509,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f562,f563,f558,f559,f527,f510,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f605,f606,f601,f602,f97,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f570,f611,f653,f654,f655,f656,f657,f658,f659,f660,f661,f666,f667,f662,f663,f631,f632,f633,f634,f635,f100,f101,f102,f103,f105,f636,f637,f638,f106,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f107,f883,f885,f887,f650,f651,f652,f612,f925,f926,f927,f928,f929,f930,f931,f932,f933,f939,f940,f934,f108,f949,f951,f935,f903,f904,f905,f906,f907,f908,f909,f110,f962,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f114,f921,f922,f923,f924,f528,f529,f530,f531,f532,f533,f534,f203,f993,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f192,f1082,f1083,f1085,f1086,f1088,f1089,f1091,f1092,f1094,f1095,f1097,f1098,f1100,f1101,f1103,f1104,f1106,f1107,f1109,f1110,f1112,f1113,f1115,f1116,f1118,f1119,f1121,f1122,f1124,f1125,f1127,f1128,f1130,f1131,f1133,f1134,f1136,f1137,f1139,f1140,f1142,f1143,f1145,f1146,f1148,f1149,f1151,f1152,f1154,f1155,f1157,f1158,f1160,f1161,f1166,f1172,f1173,f1175,f1176,f1178,f1179,f1181,f1182,f1184,f1185,f1187,f1188,f1190,f1191,f1193,f1194,f1196,f1197,f1199,f1200,f1202,f1203,f1205,f1206,f1208,f1209,f1211,f1212,f1214,f1215,f1217,f1218,f1220,f1221,f1223,f1224,f1226,f1227,f1229,f1230,f1232,f1233,f1235,f1236,f1238,f1239,f1241,f1242,f1244,f1245,f1250,f1252,f1164,f681,f1265,f680,f1266,f235,f1267,f1269,f253,f243,f1270,f1272,f1274]) ).
fof(f1274,plain,
( nil = sk2
| spl0_2 ),
inference(subsumption_resolution,[],[f1273,f187]) ).
fof(f1273,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_2 ),
inference(subsumption_resolution,[],[f1271,f8]) ).
fof(f1271,plain,
( ~ ssList(nil)
| nil = sk2
| ~ ssList(sk2)
| spl0_2 ),
inference(resolution,[],[f243,f100]) ).
fof(f1272,plain,
( ~ ssItem(nil)
| ~ ssItem(sk2)
| spl0_2
| ~ spl0_4 ),
inference(global_subsumption,[],[f194,f195,f193,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f109,f104,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f48,f49,f50,f51,f52,f53,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f73,f331,f332,f327,f328,f74,f359,f360,f365,f366,f361,f362,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f334,f335,f336,f337,f338,f339,f340,f75,f369,f370,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f76,f352,f353,f354,f80,f82,f84,f85,f387,f388,f86,f438,f439,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f321,f322,f323,f324,f325,f326,f355,f356,f357,f358,f96,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f509,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f562,f563,f558,f559,f527,f510,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f605,f606,f601,f602,f97,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f570,f611,f653,f654,f655,f656,f657,f658,f659,f660,f661,f666,f667,f662,f663,f631,f632,f633,f634,f635,f100,f101,f102,f103,f105,f636,f637,f638,f106,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f107,f883,f885,f887,f650,f651,f652,f612,f925,f926,f927,f928,f929,f930,f931,f932,f933,f939,f940,f934,f108,f949,f951,f935,f903,f904,f905,f906,f907,f908,f909,f110,f962,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f114,f921,f922,f923,f924,f528,f529,f530,f531,f532,f533,f534,f203,f993,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f192,f1082,f1083,f1085,f1086,f1088,f1089,f1091,f1092,f1094,f1095,f1097,f1098,f1100,f1101,f1103,f1104,f1106,f1107,f1109,f1110,f1112,f1113,f1115,f1116,f1118,f1119,f1121,f1122,f1124,f1125,f1127,f1128,f1130,f1131,f1133,f1134,f1136,f1137,f1139,f1140,f1142,f1143,f1145,f1146,f1148,f1149,f1151,f1152,f1154,f1155,f1157,f1158,f1160,f1161,f1166,f1172,f1173,f1175,f1176,f1178,f1179,f1181,f1182,f1184,f1185,f1187,f1188,f1190,f1191,f1193,f1194,f1196,f1197,f1199,f1200,f1202,f1203,f1205,f1206,f1208,f1209,f1211,f1212,f1214,f1215,f1217,f1218,f1220,f1221,f1223,f1224,f1226,f1227,f1229,f1230,f1232,f1233,f1235,f1236,f1238,f1239,f1241,f1242,f1244,f1245,f1250,f1252,f1164,f681,f1265,f680,f1266,f235,f1267,f1269,f253,f243,f1270]) ).
fof(f1270,plain,
( ~ ssItem(nil)
| nil = sk2
| ~ ssItem(sk2)
| spl0_2 ),
inference(resolution,[],[f243,f102]) ).
fof(f243,plain,
( ~ neq(sk2,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_2
<=> neq(sk2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f253,plain,
( nil = sk1
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl0_4
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1269,plain,
( nil != sk1
| nil != sk2 ),
inference(forward_demodulation,[],[f1268,f231]) ).
fof(f1268,plain,
( nil != sk2
| sk1 != app(nil,nil) ),
inference(subsumption_resolution,[],[f1080,f8]) ).
fof(f1080,plain,
( nil != sk2
| ~ ssList(nil)
| sk1 != app(nil,nil) ),
inference(duplicate_literal_removal,[],[f1016]) ).
fof(f1016,plain,
( nil != sk2
| ~ ssList(nil)
| sk1 != app(nil,nil)
| ~ ssList(nil) ),
inference(superposition,[],[f192,f231]) ).
fof(f1267,plain,
( ~ neq(sk2,nil)
| spl0_2 ),
inference(global_subsumption,[],[f194,f195,f193,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f109,f104,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f243,f48,f49,f50,f51,f52,f53,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f73,f331,f332,f327,f328,f74,f359,f360,f365,f366,f361,f362,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f334,f335,f336,f337,f338,f339,f340,f75,f369,f370,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f76,f352,f353,f354,f80,f82,f84,f85,f387,f388,f86,f438,f439,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f321,f322,f323,f324,f325,f326,f355,f356,f357,f358,f96,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f509,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f562,f563,f558,f559,f527,f510,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f605,f606,f601,f602,f97,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f570,f611,f653,f654,f655,f656,f657,f658,f659,f660,f661,f666,f667,f662,f663,f631,f632,f633,f634,f635,f100,f101,f102,f103,f105,f636,f637,f638,f106,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f107,f883,f885,f887,f650,f651,f652,f612,f925,f926,f927,f928,f929,f930,f931,f932,f933,f939,f940,f934,f108,f949,f951,f935,f903,f904,f905,f906,f907,f908,f909,f110,f962,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f114,f921,f922,f923,f924,f528,f529,f530,f531,f532,f533,f534,f203,f993,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f192,f1082,f1083,f1085,f1086,f1088,f1089,f1091,f1092,f1094,f1095,f1097,f1098,f1100,f1101,f1103,f1104,f1106,f1107,f1109,f1110,f1112,f1113,f1115,f1116,f1118,f1119,f1121,f1122,f1124,f1125,f1127,f1128,f1130,f1131,f1133,f1134,f1136,f1137,f1139,f1140,f1142,f1143,f1145,f1146,f1148,f1149,f1151,f1152,f1154,f1155,f1157,f1158,f1160,f1161,f1166,f1172,f1173,f1175,f1176,f1178,f1179,f1181,f1182,f1184,f1185,f1187,f1188,f1190,f1191,f1193,f1194,f1196,f1197,f1199,f1200,f1202,f1203,f1205,f1206,f1208,f1209,f1211,f1212,f1214,f1215,f1217,f1218,f1220,f1221,f1223,f1224,f1226,f1227,f1229,f1230,f1232,f1233,f1235,f1236,f1238,f1239,f1241,f1242,f1244,f1245,f1250,f1252,f1164,f681,f1265,f680,f1266,f235]) ).
fof(f235,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(forward_demodulation,[],[f195,f190]) ).
fof(f1266,plain,
( ~ neq(sk2,nil)
| spl0_2 ),
inference(global_subsumption,[],[f194,f195,f193,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f109,f104,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f243,f48,f49,f50,f51,f52,f53,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f73,f331,f332,f327,f328,f74,f359,f360,f365,f366,f361,f362,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f334,f335,f336,f337,f338,f339,f340,f75,f369,f370,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f76,f352,f353,f354,f80,f82,f84,f85,f387,f388,f86,f438,f439,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f321,f322,f323,f324,f325,f326,f355,f356,f357,f358,f96,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f509,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f562,f563,f558,f559,f527,f510,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f605,f606,f601,f602,f97,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f570,f611,f653,f654,f655,f656,f657,f658,f659,f660,f661,f666,f667,f662,f663,f631,f632,f633,f634,f635,f100,f235,f101,f102,f103,f105,f636,f637,f638,f106,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f107,f883,f885,f887,f650,f651,f652,f612,f925,f926,f927,f928,f929,f930,f931,f932,f933,f939,f940,f934,f108,f949,f951,f935,f903,f904,f905,f906,f907,f908,f909,f110,f962,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f114,f921,f922,f923,f924,f528,f529,f530,f531,f532,f533,f534,f203,f993,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f192,f1082,f1083,f1085,f1086,f1088,f1089,f1091,f1092,f1094,f1095,f1097,f1098,f1100,f1101,f1103,f1104,f1106,f1107,f1109,f1110,f1112,f1113,f1115,f1116,f1118,f1119,f1121,f1122,f1124,f1125,f1127,f1128,f1130,f1131,f1133,f1134,f1136,f1137,f1139,f1140,f1142,f1143,f1145,f1146,f1148,f1149,f1151,f1152,f1154,f1155,f1157,f1158,f1160,f1161,f1166,f1172,f1173,f1175,f1176,f1178,f1179,f1181,f1182,f1184,f1185,f1187,f1188,f1190,f1191,f1193,f1194,f1196,f1197,f1199,f1200,f1202,f1203,f1205,f1206,f1208,f1209,f1211,f1212,f1214,f1215,f1217,f1218,f1220,f1221,f1223,f1224,f1226,f1227,f1229,f1230,f1232,f1233,f1235,f1236,f1238,f1239,f1241,f1242,f1244,f1245,f1250,f1252,f1164,f681,f1265,f680]) ).
fof(f680,plain,
( sk2 = app(sk6,cons(sk5,nil))
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f368,f190]) ).
fof(f368,plain,
( ~ neq(sk2,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
inference(forward_demodulation,[],[f197,f190]) ).
fof(f1265,plain,
( ~ neq(sk2,nil)
| spl0_2 ),
inference(global_subsumption,[],[f194,f195,f193,f196,f197,f120,f142,f162,f165,f166,f167,f164,f163,f198,f199,f200,f78,f77,f109,f104,f225,f157,f204,f229,f205,f230,f169,f149,f131,f168,f132,f118,f119,f123,f133,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223,f127,f128,f129,f160,f159,f146,f148,f155,f147,f156,f171,f170,f176,f174,f161,f212,f158,f172,f213,f152,f153,f154,f214,f222,f177,f216,f217,f218,f219,f220,f221,f186,f187,f188,f189,f1,f2,f3,f4,f5,f6,f7,f8,f9,f10,f11,f190,f191,f12,f13,f14,f15,f16,f17,f18,f19,f20,f21,f22,f23,f24,f25,f26,f27,f28,f29,f30,f31,f32,f33,f34,f35,f36,f37,f38,f39,f40,f41,f42,f43,f44,f45,f46,f47,f54,f226,f227,f228,f234,f243,f48,f49,f50,f51,f52,f53,f245,f55,f56,f57,f58,f59,f60,f61,f62,f63,f71,f231,f64,f65,f66,f67,f68,f69,f70,f72,f73,f331,f332,f327,f328,f74,f359,f360,f365,f366,f361,f362,f300,f301,f302,f303,f304,f305,f306,f307,f308,f309,f310,f311,f312,f313,f314,f315,f316,f317,f318,f319,f320,f334,f335,f336,f337,f338,f339,f340,f75,f369,f370,f341,f342,f343,f344,f345,f346,f347,f348,f349,f350,f351,f76,f352,f353,f354,f80,f82,f84,f85,f387,f388,f86,f438,f439,f87,f88,f89,f90,f91,f92,f93,f94,f95,f98,f99,f224,f321,f322,f323,f324,f325,f326,f355,f356,f357,f358,f96,f511,f512,f513,f514,f515,f516,f517,f518,f519,f520,f521,f522,f523,f524,f525,f526,f509,f546,f547,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f562,f563,f558,f559,f527,f510,f571,f572,f573,f574,f575,f576,f577,f578,f579,f580,f581,f582,f583,f584,f585,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f597,f598,f599,f600,f605,f606,f601,f602,f97,f613,f614,f615,f616,f617,f618,f619,f620,f621,f622,f623,f624,f625,f626,f627,f628,f570,f611,f653,f654,f655,f656,f657,f658,f659,f660,f661,f666,f667,f662,f663,f631,f632,f633,f634,f635,f100,f680,f235,f101,f102,f103,f105,f636,f637,f638,f106,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f107,f883,f885,f887,f650,f651,f652,f612,f925,f926,f927,f928,f929,f930,f931,f932,f933,f939,f940,f934,f108,f949,f951,f935,f903,f904,f905,f906,f907,f908,f909,f110,f962,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f114,f921,f922,f923,f924,f528,f529,f530,f531,f532,f533,f534,f203,f993,f535,f536,f537,f538,f539,f540,f541,f542,f543,f544,f545,f192,f1082,f1083,f1085,f1086,f1088,f1089,f1091,f1092,f1094,f1095,f1097,f1098,f1100,f1101,f1103,f1104,f1106,f1107,f1109,f1110,f1112,f1113,f1115,f1116,f1118,f1119,f1121,f1122,f1124,f1125,f1127,f1128,f1130,f1131,f1133,f1134,f1136,f1137,f1139,f1140,f1142,f1143,f1145,f1146,f1148,f1149,f1151,f1152,f1154,f1155,f1157,f1158,f1160,f1161,f1166,f1172,f1173,f1175,f1176,f1178,f1179,f1181,f1182,f1184,f1185,f1187,f1188,f1190,f1191,f1193,f1194,f1196,f1197,f1199,f1200,f1202,f1203,f1205,f1206,f1208,f1209,f1211,f1212,f1214,f1215,f1217,f1218,f1220,f1221,f1223,f1224,f1226,f1227,f1229,f1230,f1232,f1233,f1235,f1236,f1238,f1239,f1241,f1242,f1244,f1245,f1250,f1252,f1164,f681]) ).
fof(f681,plain,
( sk1 = app(cons(sk5,nil),sk6)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f367,f191]) ).
fof(f367,plain,
( ~ neq(sk2,nil)
| sk3 = app(cons(sk5,nil),sk6) ),
inference(forward_demodulation,[],[f196,f190]) ).
fof(f1164,plain,
sk1 != sk2,
inference(subsumption_resolution,[],[f1163,f8]) ).
fof(f1163,plain,
( sk1 != sk2
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1162,f361]) ).
fof(f1162,plain,
( sk1 != sk2
| sk1 != app(nil,sk1)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1044,f186]) ).
fof(f1044,plain,
( sk1 != sk2
| ~ ssList(sk1)
| sk1 != app(nil,sk1)
| ~ ssList(nil) ),
inference(superposition,[],[f192,f327]) ).
fof(f1252,plain,
sk1 != app(sk2,nil),
inference(subsumption_resolution,[],[f1251,f187]) ).
fof(f1251,plain,
( sk1 != app(sk2,nil)
| ~ ssList(sk2) ),
inference(subsumption_resolution,[],[f1077,f8]) ).
fof(f1077,plain,
( ~ ssList(nil)
| sk1 != app(sk2,nil)
| ~ ssList(sk2) ),
inference(trivial_inequality_removal,[],[f1074]) ).
fof(f1074,plain,
( sk2 != sk2
| ~ ssList(nil)
| sk1 != app(sk2,nil)
| ~ ssList(sk2) ),
inference(superposition,[],[f192,f362]) ).
fof(f1250,plain,
sk1 != sk2,
inference(subsumption_resolution,[],[f1249,f186]) ).
fof(f1249,plain,
( sk1 != sk2
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f1248,f327]) ).
fof(f1248,plain,
( sk1 != sk2
| sk1 != app(sk1,nil)
| ~ ssList(sk1) ),
inference(subsumption_resolution,[],[f1073,f8]) ).
fof(f1073,plain,
( sk1 != sk2
| ~ ssList(nil)
| sk1 != app(sk1,nil)
| ~ ssList(sk1) ),
inference(superposition,[],[f192,f361]) ).
fof(f1245,plain,
! [X0,X1] :
( skaf45(X0,X1) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1244]) ).
fof(f1244,plain,
! [X0,X1] :
( skaf45(X0,X1) != sk2
| sk1 != app(skaf45(X0,X1),nil) ),
inference(subsumption_resolution,[],[f1243,f51]) ).
fof(f1243,plain,
! [X0,X1] :
( skaf45(X0,X1) != sk2
| sk1 != app(skaf45(X0,X1),nil)
| ~ ssList(skaf45(X0,X1)) ),
inference(subsumption_resolution,[],[f1071,f8]) ).
fof(f1071,plain,
! [X0,X1] :
( skaf45(X0,X1) != sk2
| ~ ssList(nil)
| sk1 != app(skaf45(X0,X1),nil)
| ~ ssList(skaf45(X0,X1)) ),
inference(superposition,[],[f192,f358]) ).
fof(f1242,plain,
! [X0,X1] :
( skaf46(X0,X1) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1241]) ).
fof(f1241,plain,
! [X0,X1] :
( skaf46(X0,X1) != sk2
| sk1 != app(skaf46(X0,X1),nil) ),
inference(subsumption_resolution,[],[f1240,f50]) ).
fof(f1240,plain,
! [X0,X1] :
( skaf46(X0,X1) != sk2
| sk1 != app(skaf46(X0,X1),nil)
| ~ ssList(skaf46(X0,X1)) ),
inference(subsumption_resolution,[],[f1070,f8]) ).
fof(f1070,plain,
! [X0,X1] :
( skaf46(X0,X1) != sk2
| ~ ssList(nil)
| sk1 != app(skaf46(X0,X1),nil)
| ~ ssList(skaf46(X0,X1)) ),
inference(superposition,[],[f192,f357]) ).
fof(f1239,plain,
! [X0,X1] :
( skaf47(X0,X1) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1238]) ).
fof(f1238,plain,
! [X0,X1] :
( skaf47(X0,X1) != sk2
| sk1 != app(skaf47(X0,X1),nil) ),
inference(subsumption_resolution,[],[f1237,f49]) ).
fof(f1237,plain,
! [X0,X1] :
( skaf47(X0,X1) != sk2
| sk1 != app(skaf47(X0,X1),nil)
| ~ ssList(skaf47(X0,X1)) ),
inference(subsumption_resolution,[],[f1069,f8]) ).
fof(f1069,plain,
! [X0,X1] :
( skaf47(X0,X1) != sk2
| ~ ssList(nil)
| sk1 != app(skaf47(X0,X1),nil)
| ~ ssList(skaf47(X0,X1)) ),
inference(superposition,[],[f192,f356]) ).
fof(f1236,plain,
! [X0,X1] :
( skaf48(X0,X1) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1235]) ).
fof(f1235,plain,
! [X0,X1] :
( skaf48(X0,X1) != sk2
| sk1 != app(skaf48(X0,X1),nil) ),
inference(subsumption_resolution,[],[f1234,f48]) ).
fof(f1234,plain,
! [X0,X1] :
( skaf48(X0,X1) != sk2
| sk1 != app(skaf48(X0,X1),nil)
| ~ ssList(skaf48(X0,X1)) ),
inference(subsumption_resolution,[],[f1068,f8]) ).
fof(f1068,plain,
! [X0,X1] :
( skaf48(X0,X1) != sk2
| ~ ssList(nil)
| sk1 != app(skaf48(X0,X1),nil)
| ~ ssList(skaf48(X0,X1)) ),
inference(superposition,[],[f192,f355]) ).
fof(f1233,plain,
! [X0] :
( skaf51(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1232]) ).
fof(f1232,plain,
! [X0] :
( skaf51(X0) != sk2
| sk1 != app(skaf51(X0),nil) ),
inference(subsumption_resolution,[],[f1231,f44]) ).
fof(f1231,plain,
! [X0] :
( skaf51(X0) != sk2
| sk1 != app(skaf51(X0),nil)
| ~ ssList(skaf51(X0)) ),
inference(subsumption_resolution,[],[f1067,f8]) ).
fof(f1067,plain,
! [X0] :
( skaf51(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf51(X0),nil)
| ~ ssList(skaf51(X0)) ),
inference(superposition,[],[f192,f354]) ).
fof(f1230,plain,
! [X0] :
( skaf52(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1229]) ).
fof(f1229,plain,
! [X0] :
( skaf52(X0) != sk2
| sk1 != app(skaf52(X0),nil) ),
inference(subsumption_resolution,[],[f1228,f43]) ).
fof(f1228,plain,
! [X0] :
( skaf52(X0) != sk2
| sk1 != app(skaf52(X0),nil)
| ~ ssList(skaf52(X0)) ),
inference(subsumption_resolution,[],[f1066,f8]) ).
fof(f1066,plain,
! [X0] :
( skaf52(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf52(X0),nil)
| ~ ssList(skaf52(X0)) ),
inference(superposition,[],[f192,f353]) ).
fof(f1227,plain,
! [X0] :
( skaf53(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1226]) ).
fof(f1226,plain,
! [X0] :
( skaf53(X0) != sk2
| sk1 != app(skaf53(X0),nil) ),
inference(subsumption_resolution,[],[f1225,f42]) ).
fof(f1225,plain,
! [X0] :
( skaf53(X0) != sk2
| sk1 != app(skaf53(X0),nil)
| ~ ssList(skaf53(X0)) ),
inference(subsumption_resolution,[],[f1065,f8]) ).
fof(f1065,plain,
! [X0] :
( skaf53(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf53(X0),nil)
| ~ ssList(skaf53(X0)) ),
inference(superposition,[],[f192,f352]) ).
fof(f1224,plain,
! [X0] :
( skaf56(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1223]) ).
fof(f1223,plain,
! [X0] :
( skaf56(X0) != sk2
| sk1 != app(skaf56(X0),nil) ),
inference(subsumption_resolution,[],[f1222,f39]) ).
fof(f1222,plain,
! [X0] :
( skaf56(X0) != sk2
| sk1 != app(skaf56(X0),nil)
| ~ ssList(skaf56(X0)) ),
inference(subsumption_resolution,[],[f1064,f8]) ).
fof(f1064,plain,
! [X0] :
( skaf56(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf56(X0),nil)
| ~ ssList(skaf56(X0)) ),
inference(superposition,[],[f192,f351]) ).
fof(f1221,plain,
! [X0] :
( skaf57(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1220]) ).
fof(f1220,plain,
! [X0] :
( skaf57(X0) != sk2
| sk1 != app(skaf57(X0),nil) ),
inference(subsumption_resolution,[],[f1219,f38]) ).
fof(f1219,plain,
! [X0] :
( skaf57(X0) != sk2
| sk1 != app(skaf57(X0),nil)
| ~ ssList(skaf57(X0)) ),
inference(subsumption_resolution,[],[f1063,f8]) ).
fof(f1063,plain,
! [X0] :
( skaf57(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf57(X0),nil)
| ~ ssList(skaf57(X0)) ),
inference(superposition,[],[f192,f350]) ).
fof(f1218,plain,
! [X0] :
( skaf58(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1217]) ).
fof(f1217,plain,
! [X0] :
( skaf58(X0) != sk2
| sk1 != app(skaf58(X0),nil) ),
inference(subsumption_resolution,[],[f1216,f37]) ).
fof(f1216,plain,
! [X0] :
( skaf58(X0) != sk2
| sk1 != app(skaf58(X0),nil)
| ~ ssList(skaf58(X0)) ),
inference(subsumption_resolution,[],[f1062,f8]) ).
fof(f1062,plain,
! [X0] :
( skaf58(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf58(X0),nil)
| ~ ssList(skaf58(X0)) ),
inference(superposition,[],[f192,f349]) ).
fof(f1215,plain,
! [X0] :
( skaf61(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1214]) ).
fof(f1214,plain,
! [X0] :
( skaf61(X0) != sk2
| sk1 != app(skaf61(X0),nil) ),
inference(subsumption_resolution,[],[f1213,f34]) ).
fof(f1213,plain,
! [X0] :
( skaf61(X0) != sk2
| sk1 != app(skaf61(X0),nil)
| ~ ssList(skaf61(X0)) ),
inference(subsumption_resolution,[],[f1061,f8]) ).
fof(f1061,plain,
! [X0] :
( skaf61(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf61(X0),nil)
| ~ ssList(skaf61(X0)) ),
inference(superposition,[],[f192,f348]) ).
fof(f1212,plain,
! [X0] :
( skaf62(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1211]) ).
fof(f1211,plain,
! [X0] :
( skaf62(X0) != sk2
| sk1 != app(skaf62(X0),nil) ),
inference(subsumption_resolution,[],[f1210,f33]) ).
fof(f1210,plain,
! [X0] :
( skaf62(X0) != sk2
| sk1 != app(skaf62(X0),nil)
| ~ ssList(skaf62(X0)) ),
inference(subsumption_resolution,[],[f1060,f8]) ).
fof(f1060,plain,
! [X0] :
( skaf62(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf62(X0),nil)
| ~ ssList(skaf62(X0)) ),
inference(superposition,[],[f192,f347]) ).
fof(f1209,plain,
! [X0] :
( skaf63(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1208]) ).
fof(f1208,plain,
! [X0] :
( skaf63(X0) != sk2
| sk1 != app(skaf63(X0),nil) ),
inference(subsumption_resolution,[],[f1207,f32]) ).
fof(f1207,plain,
! [X0] :
( skaf63(X0) != sk2
| sk1 != app(skaf63(X0),nil)
| ~ ssList(skaf63(X0)) ),
inference(subsumption_resolution,[],[f1059,f8]) ).
fof(f1059,plain,
! [X0] :
( skaf63(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf63(X0),nil)
| ~ ssList(skaf63(X0)) ),
inference(superposition,[],[f192,f346]) ).
fof(f1206,plain,
! [X0] :
( skaf66(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1205]) ).
fof(f1205,plain,
! [X0] :
( skaf66(X0) != sk2
| sk1 != app(skaf66(X0),nil) ),
inference(subsumption_resolution,[],[f1204,f29]) ).
fof(f1204,plain,
! [X0] :
( skaf66(X0) != sk2
| sk1 != app(skaf66(X0),nil)
| ~ ssList(skaf66(X0)) ),
inference(subsumption_resolution,[],[f1058,f8]) ).
fof(f1058,plain,
! [X0] :
( skaf66(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf66(X0),nil)
| ~ ssList(skaf66(X0)) ),
inference(superposition,[],[f192,f345]) ).
fof(f1203,plain,
! [X0] :
( skaf67(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1202]) ).
fof(f1202,plain,
! [X0] :
( skaf67(X0) != sk2
| sk1 != app(skaf67(X0),nil) ),
inference(subsumption_resolution,[],[f1201,f28]) ).
fof(f1201,plain,
! [X0] :
( skaf67(X0) != sk2
| sk1 != app(skaf67(X0),nil)
| ~ ssList(skaf67(X0)) ),
inference(subsumption_resolution,[],[f1057,f8]) ).
fof(f1057,plain,
! [X0] :
( skaf67(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf67(X0),nil)
| ~ ssList(skaf67(X0)) ),
inference(superposition,[],[f192,f344]) ).
fof(f1200,plain,
! [X0] :
( skaf68(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1199]) ).
fof(f1199,plain,
! [X0] :
( skaf68(X0) != sk2
| sk1 != app(skaf68(X0),nil) ),
inference(subsumption_resolution,[],[f1198,f27]) ).
fof(f1198,plain,
! [X0] :
( skaf68(X0) != sk2
| sk1 != app(skaf68(X0),nil)
| ~ ssList(skaf68(X0)) ),
inference(subsumption_resolution,[],[f1056,f8]) ).
fof(f1056,plain,
! [X0] :
( skaf68(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf68(X0),nil)
| ~ ssList(skaf68(X0)) ),
inference(superposition,[],[f192,f343]) ).
fof(f1197,plain,
! [X0] :
( skaf71(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1196]) ).
fof(f1196,plain,
! [X0] :
( skaf71(X0) != sk2
| sk1 != app(skaf71(X0),nil) ),
inference(subsumption_resolution,[],[f1195,f24]) ).
fof(f1195,plain,
! [X0] :
( skaf71(X0) != sk2
| sk1 != app(skaf71(X0),nil)
| ~ ssList(skaf71(X0)) ),
inference(subsumption_resolution,[],[f1055,f8]) ).
fof(f1055,plain,
! [X0] :
( skaf71(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf71(X0),nil)
| ~ ssList(skaf71(X0)) ),
inference(superposition,[],[f192,f342]) ).
fof(f1194,plain,
! [X0] :
( skaf72(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1193]) ).
fof(f1193,plain,
! [X0] :
( skaf72(X0) != sk2
| sk1 != app(skaf72(X0),nil) ),
inference(subsumption_resolution,[],[f1192,f23]) ).
fof(f1192,plain,
! [X0] :
( skaf72(X0) != sk2
| sk1 != app(skaf72(X0),nil)
| ~ ssList(skaf72(X0)) ),
inference(subsumption_resolution,[],[f1054,f8]) ).
fof(f1054,plain,
! [X0] :
( skaf72(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf72(X0),nil)
| ~ ssList(skaf72(X0)) ),
inference(superposition,[],[f192,f341]) ).
fof(f1191,plain,
! [X0] :
( skaf73(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1190]) ).
fof(f1190,plain,
! [X0] :
( skaf73(X0) != sk2
| sk1 != app(skaf73(X0),nil) ),
inference(subsumption_resolution,[],[f1189,f22]) ).
fof(f1189,plain,
! [X0] :
( skaf73(X0) != sk2
| sk1 != app(skaf73(X0),nil)
| ~ ssList(skaf73(X0)) ),
inference(subsumption_resolution,[],[f1053,f8]) ).
fof(f1053,plain,
! [X0] :
( skaf73(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf73(X0),nil)
| ~ ssList(skaf73(X0)) ),
inference(superposition,[],[f192,f340]) ).
fof(f1188,plain,
! [X0] :
( skaf75(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1187]) ).
fof(f1187,plain,
! [X0] :
( skaf75(X0) != sk2
| sk1 != app(skaf75(X0),nil) ),
inference(subsumption_resolution,[],[f1186,f20]) ).
fof(f1186,plain,
! [X0] :
( skaf75(X0) != sk2
| sk1 != app(skaf75(X0),nil)
| ~ ssList(skaf75(X0)) ),
inference(subsumption_resolution,[],[f1052,f8]) ).
fof(f1052,plain,
! [X0] :
( skaf75(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf75(X0),nil)
| ~ ssList(skaf75(X0)) ),
inference(superposition,[],[f192,f339]) ).
fof(f1185,plain,
! [X0] :
( skaf76(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1184]) ).
fof(f1184,plain,
! [X0] :
( skaf76(X0) != sk2
| sk1 != app(skaf76(X0),nil) ),
inference(subsumption_resolution,[],[f1183,f19]) ).
fof(f1183,plain,
! [X0] :
( skaf76(X0) != sk2
| sk1 != app(skaf76(X0),nil)
| ~ ssList(skaf76(X0)) ),
inference(subsumption_resolution,[],[f1051,f8]) ).
fof(f1051,plain,
! [X0] :
( skaf76(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf76(X0),nil)
| ~ ssList(skaf76(X0)) ),
inference(superposition,[],[f192,f338]) ).
fof(f1182,plain,
! [X0] :
( skaf77(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1181]) ).
fof(f1181,plain,
! [X0] :
( skaf77(X0) != sk2
| sk1 != app(skaf77(X0),nil) ),
inference(subsumption_resolution,[],[f1180,f18]) ).
fof(f1180,plain,
! [X0] :
( skaf77(X0) != sk2
| sk1 != app(skaf77(X0),nil)
| ~ ssList(skaf77(X0)) ),
inference(subsumption_resolution,[],[f1050,f8]) ).
fof(f1050,plain,
! [X0] :
( skaf77(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf77(X0),nil)
| ~ ssList(skaf77(X0)) ),
inference(superposition,[],[f192,f337]) ).
fof(f1179,plain,
! [X0] :
( skaf80(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1178]) ).
fof(f1178,plain,
! [X0] :
( skaf80(X0) != sk2
| sk1 != app(skaf80(X0),nil) ),
inference(subsumption_resolution,[],[f1177,f15]) ).
fof(f1177,plain,
! [X0] :
( skaf80(X0) != sk2
| sk1 != app(skaf80(X0),nil)
| ~ ssList(skaf80(X0)) ),
inference(subsumption_resolution,[],[f1049,f8]) ).
fof(f1049,plain,
! [X0] :
( skaf80(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf80(X0),nil)
| ~ ssList(skaf80(X0)) ),
inference(superposition,[],[f192,f336]) ).
fof(f1176,plain,
! [X0] :
( skaf81(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1175]) ).
fof(f1175,plain,
! [X0] :
( skaf81(X0) != sk2
| sk1 != app(skaf81(X0),nil) ),
inference(subsumption_resolution,[],[f1174,f14]) ).
fof(f1174,plain,
! [X0] :
( skaf81(X0) != sk2
| sk1 != app(skaf81(X0),nil)
| ~ ssList(skaf81(X0)) ),
inference(subsumption_resolution,[],[f1048,f8]) ).
fof(f1048,plain,
! [X0] :
( skaf81(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf81(X0),nil)
| ~ ssList(skaf81(X0)) ),
inference(superposition,[],[f192,f335]) ).
fof(f1173,plain,
! [X0] :
( skaf82(X0) != sk2
| sk1 != app(sk2,nil) ),
inference(inner_rewriting,[],[f1172]) ).
fof(f1172,plain,
! [X0] :
( skaf82(X0) != sk2
| sk1 != app(skaf82(X0),nil) ),
inference(subsumption_resolution,[],[f1171,f13]) ).
fof(f1171,plain,
! [X0] :
( skaf82(X0) != sk2
| sk1 != app(skaf82(X0),nil)
| ~ ssList(skaf82(X0)) ),
inference(subsumption_resolution,[],[f1047,f8]) ).
fof(f1047,plain,
! [X0] :
( skaf82(X0) != sk2
| ~ ssList(nil)
| sk1 != app(skaf82(X0),nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[],[f192,f334]) ).
fof(f1166,plain,
sk1 != app(nil,sk2),
inference(subsumption_resolution,[],[f1165,f8]) ).
fof(f1165,plain,
( sk1 != app(nil,sk2)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1079,f187]) ).
fof(f1079,plain,
( ~ ssList(sk2)
| sk1 != app(nil,sk2)
| ~ ssList(nil) ),
inference(trivial_inequality_removal,[],[f1045]) ).
fof(f1045,plain,
( sk2 != sk2
| ~ ssList(sk2)
| sk1 != app(nil,sk2)
| ~ ssList(nil) ),
inference(superposition,[],[f192,f328]) ).
fof(f1161,plain,
! [X0,X1] :
( skaf42(X0,X1) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1160]) ).
fof(f1160,plain,
! [X0,X1] :
( skaf42(X0,X1) != sk2
| sk1 != app(nil,skaf42(X0,X1)) ),
inference(subsumption_resolution,[],[f1159,f8]) ).
fof(f1159,plain,
! [X0,X1] :
( skaf42(X0,X1) != sk2
| sk1 != app(nil,skaf42(X0,X1))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1043,f53]) ).
fof(f1043,plain,
! [X0,X1] :
( skaf42(X0,X1) != sk2
| ~ ssList(skaf42(X0,X1))
| sk1 != app(nil,skaf42(X0,X1))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f326]) ).
fof(f1158,plain,
! [X0,X1] :
( skaf43(X0,X1) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1157]) ).
fof(f1157,plain,
! [X0,X1] :
( skaf43(X0,X1) != sk2
| sk1 != app(nil,skaf43(X0,X1)) ),
inference(subsumption_resolution,[],[f1156,f8]) ).
fof(f1156,plain,
! [X0,X1] :
( skaf43(X0,X1) != sk2
| sk1 != app(nil,skaf43(X0,X1))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1042,f52]) ).
fof(f1042,plain,
! [X0,X1] :
( skaf43(X0,X1) != sk2
| ~ ssList(skaf43(X0,X1))
| sk1 != app(nil,skaf43(X0,X1))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f325]) ).
fof(f1155,plain,
! [X0,X1] :
( skaf45(X0,X1) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1154]) ).
fof(f1154,plain,
! [X0,X1] :
( skaf45(X0,X1) != sk2
| sk1 != app(nil,skaf45(X0,X1)) ),
inference(subsumption_resolution,[],[f1153,f8]) ).
fof(f1153,plain,
! [X0,X1] :
( skaf45(X0,X1) != sk2
| sk1 != app(nil,skaf45(X0,X1))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1041,f51]) ).
fof(f1041,plain,
! [X0,X1] :
( skaf45(X0,X1) != sk2
| ~ ssList(skaf45(X0,X1))
| sk1 != app(nil,skaf45(X0,X1))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f324]) ).
fof(f1152,plain,
! [X0,X1] :
( skaf46(X0,X1) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1151]) ).
fof(f1151,plain,
! [X0,X1] :
( skaf46(X0,X1) != sk2
| sk1 != app(nil,skaf46(X0,X1)) ),
inference(subsumption_resolution,[],[f1150,f8]) ).
fof(f1150,plain,
! [X0,X1] :
( skaf46(X0,X1) != sk2
| sk1 != app(nil,skaf46(X0,X1))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1040,f50]) ).
fof(f1040,plain,
! [X0,X1] :
( skaf46(X0,X1) != sk2
| ~ ssList(skaf46(X0,X1))
| sk1 != app(nil,skaf46(X0,X1))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f323]) ).
fof(f1149,plain,
! [X0,X1] :
( skaf47(X0,X1) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1148]) ).
fof(f1148,plain,
! [X0,X1] :
( skaf47(X0,X1) != sk2
| sk1 != app(nil,skaf47(X0,X1)) ),
inference(subsumption_resolution,[],[f1147,f8]) ).
fof(f1147,plain,
! [X0,X1] :
( skaf47(X0,X1) != sk2
| sk1 != app(nil,skaf47(X0,X1))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1039,f49]) ).
fof(f1039,plain,
! [X0,X1] :
( skaf47(X0,X1) != sk2
| ~ ssList(skaf47(X0,X1))
| sk1 != app(nil,skaf47(X0,X1))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f322]) ).
fof(f1146,plain,
! [X0,X1] :
( skaf48(X0,X1) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1145]) ).
fof(f1145,plain,
! [X0,X1] :
( skaf48(X0,X1) != sk2
| sk1 != app(nil,skaf48(X0,X1)) ),
inference(subsumption_resolution,[],[f1144,f8]) ).
fof(f1144,plain,
! [X0,X1] :
( skaf48(X0,X1) != sk2
| sk1 != app(nil,skaf48(X0,X1))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1038,f48]) ).
fof(f1038,plain,
! [X0,X1] :
( skaf48(X0,X1) != sk2
| ~ ssList(skaf48(X0,X1))
| sk1 != app(nil,skaf48(X0,X1))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f321]) ).
fof(f1143,plain,
! [X0] :
( skaf51(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1142]) ).
fof(f1142,plain,
! [X0] :
( skaf51(X0) != sk2
| sk1 != app(nil,skaf51(X0)) ),
inference(subsumption_resolution,[],[f1141,f8]) ).
fof(f1141,plain,
! [X0] :
( skaf51(X0) != sk2
| sk1 != app(nil,skaf51(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1037,f44]) ).
fof(f1037,plain,
! [X0] :
( skaf51(X0) != sk2
| ~ ssList(skaf51(X0))
| sk1 != app(nil,skaf51(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f320]) ).
fof(f1140,plain,
! [X0] :
( skaf52(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1139]) ).
fof(f1139,plain,
! [X0] :
( skaf52(X0) != sk2
| sk1 != app(nil,skaf52(X0)) ),
inference(subsumption_resolution,[],[f1138,f8]) ).
fof(f1138,plain,
! [X0] :
( skaf52(X0) != sk2
| sk1 != app(nil,skaf52(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1036,f43]) ).
fof(f1036,plain,
! [X0] :
( skaf52(X0) != sk2
| ~ ssList(skaf52(X0))
| sk1 != app(nil,skaf52(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f319]) ).
fof(f1137,plain,
! [X0] :
( skaf53(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1136]) ).
fof(f1136,plain,
! [X0] :
( skaf53(X0) != sk2
| sk1 != app(nil,skaf53(X0)) ),
inference(subsumption_resolution,[],[f1135,f8]) ).
fof(f1135,plain,
! [X0] :
( skaf53(X0) != sk2
| sk1 != app(nil,skaf53(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1035,f42]) ).
fof(f1035,plain,
! [X0] :
( skaf53(X0) != sk2
| ~ ssList(skaf53(X0))
| sk1 != app(nil,skaf53(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f318]) ).
fof(f1134,plain,
! [X0] :
( skaf56(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1133]) ).
fof(f1133,plain,
! [X0] :
( skaf56(X0) != sk2
| sk1 != app(nil,skaf56(X0)) ),
inference(subsumption_resolution,[],[f1132,f8]) ).
fof(f1132,plain,
! [X0] :
( skaf56(X0) != sk2
| sk1 != app(nil,skaf56(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1034,f39]) ).
fof(f1034,plain,
! [X0] :
( skaf56(X0) != sk2
| ~ ssList(skaf56(X0))
| sk1 != app(nil,skaf56(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f317]) ).
fof(f1131,plain,
! [X0] :
( skaf57(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1130]) ).
fof(f1130,plain,
! [X0] :
( skaf57(X0) != sk2
| sk1 != app(nil,skaf57(X0)) ),
inference(subsumption_resolution,[],[f1129,f8]) ).
fof(f1129,plain,
! [X0] :
( skaf57(X0) != sk2
| sk1 != app(nil,skaf57(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1033,f38]) ).
fof(f1033,plain,
! [X0] :
( skaf57(X0) != sk2
| ~ ssList(skaf57(X0))
| sk1 != app(nil,skaf57(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f316]) ).
fof(f1128,plain,
! [X0] :
( skaf58(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1127]) ).
fof(f1127,plain,
! [X0] :
( skaf58(X0) != sk2
| sk1 != app(nil,skaf58(X0)) ),
inference(subsumption_resolution,[],[f1126,f8]) ).
fof(f1126,plain,
! [X0] :
( skaf58(X0) != sk2
| sk1 != app(nil,skaf58(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1032,f37]) ).
fof(f1032,plain,
! [X0] :
( skaf58(X0) != sk2
| ~ ssList(skaf58(X0))
| sk1 != app(nil,skaf58(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f315]) ).
fof(f1125,plain,
! [X0] :
( skaf61(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1124]) ).
fof(f1124,plain,
! [X0] :
( skaf61(X0) != sk2
| sk1 != app(nil,skaf61(X0)) ),
inference(subsumption_resolution,[],[f1123,f8]) ).
fof(f1123,plain,
! [X0] :
( skaf61(X0) != sk2
| sk1 != app(nil,skaf61(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1031,f34]) ).
fof(f1031,plain,
! [X0] :
( skaf61(X0) != sk2
| ~ ssList(skaf61(X0))
| sk1 != app(nil,skaf61(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f314]) ).
fof(f1122,plain,
! [X0] :
( skaf62(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1121]) ).
fof(f1121,plain,
! [X0] :
( skaf62(X0) != sk2
| sk1 != app(nil,skaf62(X0)) ),
inference(subsumption_resolution,[],[f1120,f8]) ).
fof(f1120,plain,
! [X0] :
( skaf62(X0) != sk2
| sk1 != app(nil,skaf62(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1030,f33]) ).
fof(f1030,plain,
! [X0] :
( skaf62(X0) != sk2
| ~ ssList(skaf62(X0))
| sk1 != app(nil,skaf62(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f313]) ).
fof(f1119,plain,
! [X0] :
( skaf63(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1118]) ).
fof(f1118,plain,
! [X0] :
( skaf63(X0) != sk2
| sk1 != app(nil,skaf63(X0)) ),
inference(subsumption_resolution,[],[f1117,f8]) ).
fof(f1117,plain,
! [X0] :
( skaf63(X0) != sk2
| sk1 != app(nil,skaf63(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1029,f32]) ).
fof(f1029,plain,
! [X0] :
( skaf63(X0) != sk2
| ~ ssList(skaf63(X0))
| sk1 != app(nil,skaf63(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f312]) ).
fof(f1116,plain,
! [X0] :
( skaf66(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1115]) ).
fof(f1115,plain,
! [X0] :
( skaf66(X0) != sk2
| sk1 != app(nil,skaf66(X0)) ),
inference(subsumption_resolution,[],[f1114,f8]) ).
fof(f1114,plain,
! [X0] :
( skaf66(X0) != sk2
| sk1 != app(nil,skaf66(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1028,f29]) ).
fof(f1028,plain,
! [X0] :
( skaf66(X0) != sk2
| ~ ssList(skaf66(X0))
| sk1 != app(nil,skaf66(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f311]) ).
fof(f1113,plain,
! [X0] :
( skaf67(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1112]) ).
fof(f1112,plain,
! [X0] :
( skaf67(X0) != sk2
| sk1 != app(nil,skaf67(X0)) ),
inference(subsumption_resolution,[],[f1111,f8]) ).
fof(f1111,plain,
! [X0] :
( skaf67(X0) != sk2
| sk1 != app(nil,skaf67(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1027,f28]) ).
fof(f1027,plain,
! [X0] :
( skaf67(X0) != sk2
| ~ ssList(skaf67(X0))
| sk1 != app(nil,skaf67(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f310]) ).
fof(f1110,plain,
! [X0] :
( skaf68(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1109]) ).
fof(f1109,plain,
! [X0] :
( skaf68(X0) != sk2
| sk1 != app(nil,skaf68(X0)) ),
inference(subsumption_resolution,[],[f1108,f8]) ).
fof(f1108,plain,
! [X0] :
( skaf68(X0) != sk2
| sk1 != app(nil,skaf68(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1026,f27]) ).
fof(f1026,plain,
! [X0] :
( skaf68(X0) != sk2
| ~ ssList(skaf68(X0))
| sk1 != app(nil,skaf68(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f309]) ).
fof(f1107,plain,
! [X0] :
( skaf71(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1106]) ).
fof(f1106,plain,
! [X0] :
( skaf71(X0) != sk2
| sk1 != app(nil,skaf71(X0)) ),
inference(subsumption_resolution,[],[f1105,f8]) ).
fof(f1105,plain,
! [X0] :
( skaf71(X0) != sk2
| sk1 != app(nil,skaf71(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1025,f24]) ).
fof(f1025,plain,
! [X0] :
( skaf71(X0) != sk2
| ~ ssList(skaf71(X0))
| sk1 != app(nil,skaf71(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f308]) ).
fof(f1104,plain,
! [X0] :
( skaf72(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1103]) ).
fof(f1103,plain,
! [X0] :
( skaf72(X0) != sk2
| sk1 != app(nil,skaf72(X0)) ),
inference(subsumption_resolution,[],[f1102,f8]) ).
fof(f1102,plain,
! [X0] :
( skaf72(X0) != sk2
| sk1 != app(nil,skaf72(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1024,f23]) ).
fof(f1024,plain,
! [X0] :
( skaf72(X0) != sk2
| ~ ssList(skaf72(X0))
| sk1 != app(nil,skaf72(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f307]) ).
fof(f1101,plain,
! [X0] :
( skaf73(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1100]) ).
fof(f1100,plain,
! [X0] :
( skaf73(X0) != sk2
| sk1 != app(nil,skaf73(X0)) ),
inference(subsumption_resolution,[],[f1099,f8]) ).
fof(f1099,plain,
! [X0] :
( skaf73(X0) != sk2
| sk1 != app(nil,skaf73(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1023,f22]) ).
fof(f1023,plain,
! [X0] :
( skaf73(X0) != sk2
| ~ ssList(skaf73(X0))
| sk1 != app(nil,skaf73(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f306]) ).
fof(f1098,plain,
! [X0] :
( skaf75(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1097]) ).
fof(f1097,plain,
! [X0] :
( skaf75(X0) != sk2
| sk1 != app(nil,skaf75(X0)) ),
inference(subsumption_resolution,[],[f1096,f8]) ).
fof(f1096,plain,
! [X0] :
( skaf75(X0) != sk2
| sk1 != app(nil,skaf75(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1022,f20]) ).
fof(f1022,plain,
! [X0] :
( skaf75(X0) != sk2
| ~ ssList(skaf75(X0))
| sk1 != app(nil,skaf75(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f305]) ).
fof(f1095,plain,
! [X0] :
( skaf76(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1094]) ).
fof(f1094,plain,
! [X0] :
( skaf76(X0) != sk2
| sk1 != app(nil,skaf76(X0)) ),
inference(subsumption_resolution,[],[f1093,f8]) ).
fof(f1093,plain,
! [X0] :
( skaf76(X0) != sk2
| sk1 != app(nil,skaf76(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1021,f19]) ).
fof(f1021,plain,
! [X0] :
( skaf76(X0) != sk2
| ~ ssList(skaf76(X0))
| sk1 != app(nil,skaf76(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f304]) ).
fof(f1092,plain,
! [X0] :
( skaf77(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1091]) ).
fof(f1091,plain,
! [X0] :
( skaf77(X0) != sk2
| sk1 != app(nil,skaf77(X0)) ),
inference(subsumption_resolution,[],[f1090,f8]) ).
fof(f1090,plain,
! [X0] :
( skaf77(X0) != sk2
| sk1 != app(nil,skaf77(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1020,f18]) ).
fof(f1020,plain,
! [X0] :
( skaf77(X0) != sk2
| ~ ssList(skaf77(X0))
| sk1 != app(nil,skaf77(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f303]) ).
fof(f1089,plain,
! [X0] :
( skaf80(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1088]) ).
fof(f1088,plain,
! [X0] :
( skaf80(X0) != sk2
| sk1 != app(nil,skaf80(X0)) ),
inference(subsumption_resolution,[],[f1087,f8]) ).
fof(f1087,plain,
! [X0] :
( skaf80(X0) != sk2
| sk1 != app(nil,skaf80(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1019,f15]) ).
fof(f1019,plain,
! [X0] :
( skaf80(X0) != sk2
| ~ ssList(skaf80(X0))
| sk1 != app(nil,skaf80(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f302]) ).
fof(f1086,plain,
! [X0] :
( skaf81(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1085]) ).
fof(f1085,plain,
! [X0] :
( skaf81(X0) != sk2
| sk1 != app(nil,skaf81(X0)) ),
inference(subsumption_resolution,[],[f1084,f8]) ).
fof(f1084,plain,
! [X0] :
( skaf81(X0) != sk2
| sk1 != app(nil,skaf81(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1018,f14]) ).
fof(f1018,plain,
! [X0] :
( skaf81(X0) != sk2
| ~ ssList(skaf81(X0))
| sk1 != app(nil,skaf81(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f301]) ).
fof(f1083,plain,
! [X0] :
( skaf82(X0) != sk2
| sk1 != app(nil,sk2) ),
inference(inner_rewriting,[],[f1082]) ).
fof(f1082,plain,
! [X0] :
( skaf82(X0) != sk2
| sk1 != app(nil,skaf82(X0)) ),
inference(subsumption_resolution,[],[f1081,f8]) ).
fof(f1081,plain,
! [X0] :
( skaf82(X0) != sk2
| sk1 != app(nil,skaf82(X0))
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f1017,f13]) ).
fof(f1017,plain,
! [X0] :
( skaf82(X0) != sk2
| ~ ssList(skaf82(X0))
| sk1 != app(nil,skaf82(X0))
| ~ ssList(nil) ),
inference(superposition,[],[f192,f300]) ).
fof(f192,axiom,
! [X6,X7] :
( sk2 != app(X6,X7)
| ~ ssList(X6)
| sk1 != app(X7,X6)
| ~ ssList(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f545,plain,
! [X0] : skaf56(X0) = tl(cons(skac3,skaf56(X0))),
inference(resolution,[],[f509,f39]) ).
fof(f544,plain,
! [X0] : skaf57(X0) = tl(cons(skac3,skaf57(X0))),
inference(resolution,[],[f509,f38]) ).
fof(f543,plain,
! [X0] : skaf58(X0) = tl(cons(skac3,skaf58(X0))),
inference(resolution,[],[f509,f37]) ).
fof(f542,plain,
! [X0] : skaf61(X0) = tl(cons(skac3,skaf61(X0))),
inference(resolution,[],[f509,f34]) ).
fof(f541,plain,
! [X0] : skaf62(X0) = tl(cons(skac3,skaf62(X0))),
inference(resolution,[],[f509,f33]) ).
fof(f540,plain,
! [X0] : skaf63(X0) = tl(cons(skac3,skaf63(X0))),
inference(resolution,[],[f509,f32]) ).
fof(f539,plain,
! [X0] : skaf66(X0) = tl(cons(skac3,skaf66(X0))),
inference(resolution,[],[f509,f29]) ).
fof(f538,plain,
! [X0] : skaf67(X0) = tl(cons(skac3,skaf67(X0))),
inference(resolution,[],[f509,f28]) ).
fof(f537,plain,
! [X0] : skaf68(X0) = tl(cons(skac3,skaf68(X0))),
inference(resolution,[],[f509,f27]) ).
fof(f536,plain,
! [X0] : skaf71(X0) = tl(cons(skac3,skaf71(X0))),
inference(resolution,[],[f509,f24]) ).
fof(f535,plain,
! [X0] : skaf72(X0) = tl(cons(skac3,skaf72(X0))),
inference(resolution,[],[f509,f23]) ).
fof(f993,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f992]) ).
fof(f992,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(resolution,[],[f203,f101]) ).
fof(f203,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f534,plain,
! [X0] : skaf73(X0) = tl(cons(skac3,skaf73(X0))),
inference(resolution,[],[f509,f22]) ).
fof(f533,plain,
! [X0] : skaf75(X0) = tl(cons(skac3,skaf75(X0))),
inference(resolution,[],[f509,f20]) ).
fof(f532,plain,
! [X0] : skaf76(X0) = tl(cons(skac3,skaf76(X0))),
inference(resolution,[],[f509,f19]) ).
fof(f531,plain,
! [X0] : skaf77(X0) = tl(cons(skac3,skaf77(X0))),
inference(resolution,[],[f509,f18]) ).
fof(f530,plain,
! [X0] : skaf80(X0) = tl(cons(skac3,skaf80(X0))),
inference(resolution,[],[f509,f15]) ).
fof(f529,plain,
! [X0] : skaf81(X0) = tl(cons(skac3,skaf81(X0))),
inference(resolution,[],[f509,f14]) ).
fof(f528,plain,
! [X0] : skaf82(X0) = tl(cons(skac3,skaf82(X0))),
inference(resolution,[],[f509,f13]) ).
fof(f924,plain,
! [X0] : skac2 = hd(cons(skac2,skaf51(X0))),
inference(resolution,[],[f612,f44]) ).
fof(f923,plain,
! [X0] : skac2 = hd(cons(skac2,skaf52(X0))),
inference(resolution,[],[f612,f43]) ).
fof(f922,plain,
! [X0] : skac2 = hd(cons(skac2,skaf53(X0))),
inference(resolution,[],[f612,f42]) ).
fof(f921,plain,
! [X0] : skac2 = hd(cons(skac2,skaf56(X0))),
inference(resolution,[],[f612,f39]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f920,plain,
! [X0] : skac2 = hd(cons(skac2,skaf57(X0))),
inference(resolution,[],[f612,f38]) ).
fof(f919,plain,
! [X0] : skac2 = hd(cons(skac2,skaf58(X0))),
inference(resolution,[],[f612,f37]) ).
fof(f918,plain,
! [X0] : skac2 = hd(cons(skac2,skaf61(X0))),
inference(resolution,[],[f612,f34]) ).
fof(f917,plain,
! [X0] : skac2 = hd(cons(skac2,skaf62(X0))),
inference(resolution,[],[f612,f33]) ).
fof(f916,plain,
! [X0] : skac2 = hd(cons(skac2,skaf63(X0))),
inference(resolution,[],[f612,f32]) ).
fof(f915,plain,
! [X0] : skac2 = hd(cons(skac2,skaf66(X0))),
inference(resolution,[],[f612,f29]) ).
fof(f914,plain,
! [X0] : skac2 = hd(cons(skac2,skaf67(X0))),
inference(resolution,[],[f612,f28]) ).
fof(f913,plain,
! [X0] : skac2 = hd(cons(skac2,skaf68(X0))),
inference(resolution,[],[f612,f27]) ).
fof(f912,plain,
! [X0] : skac2 = hd(cons(skac2,skaf71(X0))),
inference(resolution,[],[f612,f24]) ).
fof(f911,plain,
! [X0] : skac2 = hd(cons(skac2,skaf72(X0))),
inference(resolution,[],[f612,f23]) ).
fof(f910,plain,
! [X0] : skac2 = hd(cons(skac2,skaf73(X0))),
inference(resolution,[],[f612,f22]) ).
fof(f962,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ lt(X0,X1) ),
inference(duplicate_literal_removal,[],[f961]) ).
fof(f961,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f110,f106]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f909,plain,
! [X0] : skac2 = hd(cons(skac2,skaf75(X0))),
inference(resolution,[],[f612,f20]) ).
fof(f908,plain,
! [X0] : skac2 = hd(cons(skac2,skaf76(X0))),
inference(resolution,[],[f612,f19]) ).
fof(f907,plain,
! [X0] : skac2 = hd(cons(skac2,skaf77(X0))),
inference(resolution,[],[f612,f18]) ).
fof(f906,plain,
! [X0] : skac2 = hd(cons(skac2,skaf80(X0))),
inference(resolution,[],[f612,f15]) ).
fof(f905,plain,
! [X0] : skac2 = hd(cons(skac2,skaf81(X0))),
inference(resolution,[],[f612,f14]) ).
fof(f904,plain,
! [X0] : skac2 = hd(cons(skac2,skaf82(X0))),
inference(resolution,[],[f612,f13]) ).
fof(f903,plain,
skac2 = hd(cons(skac2,nil)),
inference(resolution,[],[f612,f8]) ).
fof(f935,plain,
skac2 = hd(cons(skac2,sk2)),
inference(resolution,[],[f612,f187]) ).
fof(f951,plain,
! [X0] :
( geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f950,f46]) ).
fof(f950,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f945,f45]) ).
fof(f945,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| ~ ssItem(skaf49(X0))
| geq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f88]) ).
fof(f949,plain,
! [X0] :
( geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f948,f45]) ).
fof(f948,plain,
! [X0] :
( ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f944,f46]) ).
fof(f944,plain,
! [X0] :
( ~ ssItem(skaf49(X0))
| ~ ssItem(skaf50(X0))
| geq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f108,f87]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f934,plain,
skac2 = hd(cons(skac2,sk1)),
inference(resolution,[],[f612,f186]) ).
fof(f940,plain,
skac2 = hd(cons(skac2,sk2)),
inference(forward_demodulation,[],[f937,f190]) ).
fof(f937,plain,
skac2 = hd(cons(skac2,sk4)),
inference(resolution,[],[f612,f189]) ).
fof(f939,plain,
skac2 = hd(cons(skac2,sk1)),
inference(forward_demodulation,[],[f936,f191]) ).
fof(f936,plain,
skac2 = hd(cons(skac2,sk3)),
inference(resolution,[],[f612,f188]) ).
fof(f933,plain,
! [X0] :
( skac2 = hd(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f612,f75]) ).
fof(f932,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f612,f85]) ).
fof(f931,plain,
! [X0,X1] :
( skac2 = hd(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f612,f86]) ).
fof(f930,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f612,f53]) ).
fof(f929,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f612,f52]) ).
fof(f928,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f612,f51]) ).
fof(f927,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f612,f50]) ).
fof(f926,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f612,f49]) ).
fof(f925,plain,
! [X0,X1] : skac2 = hd(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f612,f48]) ).
fof(f612,plain,
! [X0] :
( ~ ssList(X0)
| skac2 = hd(cons(skac2,X0)) ),
inference(resolution,[],[f97,f10]) ).
fof(f652,plain,
! [X0] : skac3 = hd(cons(skac3,skaf51(X0))),
inference(resolution,[],[f611,f44]) ).
fof(f651,plain,
! [X0] : skac3 = hd(cons(skac3,skaf52(X0))),
inference(resolution,[],[f611,f43]) ).
fof(f650,plain,
! [X0] : skac3 = hd(cons(skac3,skaf53(X0))),
inference(resolution,[],[f611,f42]) ).
fof(f887,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f886,f41]) ).
fof(f886,plain,
! [X0] :
( ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f881,f40]) ).
fof(f881,plain,
! [X0] :
( ~ ssItem(skaf55(X0))
| ~ geq(skaf55(X0),skaf54(X0))
| ~ ssItem(skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f95]) ).
fof(f885,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f884,f40]) ).
fof(f884,plain,
! [X0] :
( ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f880,f41]) ).
fof(f880,plain,
! [X0] :
( ~ ssItem(skaf54(X0))
| ~ geq(skaf54(X0),skaf55(X0))
| ~ ssItem(skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f94]) ).
fof(f883,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f882,f31]) ).
fof(f882,plain,
! [X0] :
( ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f879,f30]) ).
fof(f879,plain,
! [X0] :
( ~ ssItem(skaf65(X0))
| ~ geq(skaf65(X0),skaf64(X0))
| ~ ssItem(skaf64(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f107,f91]) ).
fof(f107,axiom,
! [X0,X1] :
( leq(X1,X0)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f649,plain,
! [X0] : skac3 = hd(cons(skac3,skaf56(X0))),
inference(resolution,[],[f611,f39]) ).
fof(f648,plain,
! [X0] : skac3 = hd(cons(skac3,skaf57(X0))),
inference(resolution,[],[f611,f38]) ).
fof(f647,plain,
! [X0] : skac3 = hd(cons(skac3,skaf58(X0))),
inference(resolution,[],[f611,f37]) ).
fof(f646,plain,
! [X0] : skac3 = hd(cons(skac3,skaf61(X0))),
inference(resolution,[],[f611,f34]) ).
fof(f645,plain,
! [X0] : skac3 = hd(cons(skac3,skaf62(X0))),
inference(resolution,[],[f611,f33]) ).
fof(f644,plain,
! [X0] : skac3 = hd(cons(skac3,skaf63(X0))),
inference(resolution,[],[f611,f32]) ).
fof(f643,plain,
! [X0] : skac3 = hd(cons(skac3,skaf66(X0))),
inference(resolution,[],[f611,f29]) ).
fof(f642,plain,
! [X0] : skac3 = hd(cons(skac3,skaf67(X0))),
inference(resolution,[],[f611,f28]) ).
fof(f641,plain,
! [X0] : skac3 = hd(cons(skac3,skaf68(X0))),
inference(resolution,[],[f611,f27]) ).
fof(f640,plain,
! [X0] : skac3 = hd(cons(skac3,skaf71(X0))),
inference(resolution,[],[f611,f24]) ).
fof(f639,plain,
! [X0] : skac3 = hd(cons(skac3,skaf72(X0))),
inference(resolution,[],[f611,f23]) ).
fof(f106,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f638,plain,
! [X0] : skac3 = hd(cons(skac3,skaf73(X0))),
inference(resolution,[],[f611,f22]) ).
fof(f637,plain,
! [X0] : skac3 = hd(cons(skac3,skaf75(X0))),
inference(resolution,[],[f611,f20]) ).
fof(f636,plain,
! [X0] : skac3 = hd(cons(skac3,skaf76(X0))),
inference(resolution,[],[f611,f19]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ gt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f635,plain,
! [X0] : skac3 = hd(cons(skac3,skaf77(X0))),
inference(resolution,[],[f611,f18]) ).
fof(f634,plain,
! [X0] : skac3 = hd(cons(skac3,skaf80(X0))),
inference(resolution,[],[f611,f15]) ).
fof(f633,plain,
! [X0] : skac3 = hd(cons(skac3,skaf81(X0))),
inference(resolution,[],[f611,f14]) ).
fof(f632,plain,
! [X0] : skac3 = hd(cons(skac3,skaf82(X0))),
inference(resolution,[],[f611,f13]) ).
fof(f631,plain,
skac3 = hd(cons(skac3,nil)),
inference(resolution,[],[f611,f8]) ).
fof(f663,plain,
skac3 = hd(cons(skac3,sk2)),
inference(resolution,[],[f611,f187]) ).
fof(f662,plain,
skac3 = hd(cons(skac3,sk1)),
inference(resolution,[],[f611,f186]) ).
fof(f667,plain,
skac3 = hd(cons(skac3,sk2)),
inference(forward_demodulation,[],[f665,f190]) ).
fof(f665,plain,
skac3 = hd(cons(skac3,sk4)),
inference(resolution,[],[f611,f189]) ).
fof(f666,plain,
skac3 = hd(cons(skac3,sk1)),
inference(forward_demodulation,[],[f664,f191]) ).
fof(f664,plain,
skac3 = hd(cons(skac3,sk3)),
inference(resolution,[],[f611,f188]) ).
fof(f661,plain,
! [X0] :
( skac3 = hd(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f611,f75]) ).
fof(f660,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f611,f85]) ).
fof(f659,plain,
! [X0,X1] :
( skac3 = hd(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f611,f86]) ).
fof(f658,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f611,f53]) ).
fof(f657,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f611,f52]) ).
fof(f656,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f611,f51]) ).
fof(f655,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f611,f50]) ).
fof(f654,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f611,f49]) ).
fof(f653,plain,
! [X0,X1] : skac3 = hd(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f611,f48]) ).
fof(f611,plain,
! [X0] :
( ~ ssList(X0)
| skac3 = hd(cons(skac3,X0)) ),
inference(resolution,[],[f97,f9]) ).
fof(f570,plain,
nil = tl(cons(skac2,nil)),
inference(resolution,[],[f510,f8]) ).
fof(f628,plain,
! [X0,X1] :
( ~ ssList(X0)
| hd(X1) = hd(cons(hd(X1),X0))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f627,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf44(X1) = hd(cons(skaf44(X1),X0)) ),
inference(resolution,[],[f97,f47]) ).
fof(f626,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf49(X1) = hd(cons(skaf49(X1),X0)) ),
inference(resolution,[],[f97,f46]) ).
fof(f625,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf50(X1) = hd(cons(skaf50(X1),X0)) ),
inference(resolution,[],[f97,f45]) ).
fof(f624,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf54(X1) = hd(cons(skaf54(X1),X0)) ),
inference(resolution,[],[f97,f41]) ).
fof(f623,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf55(X1) = hd(cons(skaf55(X1),X0)) ),
inference(resolution,[],[f97,f40]) ).
fof(f622,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf59(X1) = hd(cons(skaf59(X1),X0)) ),
inference(resolution,[],[f97,f36]) ).
fof(f621,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf60(X1) = hd(cons(skaf60(X1),X0)) ),
inference(resolution,[],[f97,f35]) ).
fof(f620,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf64(X1) = hd(cons(skaf64(X1),X0)) ),
inference(resolution,[],[f97,f31]) ).
fof(f619,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf65(X1) = hd(cons(skaf65(X1),X0)) ),
inference(resolution,[],[f97,f30]) ).
fof(f618,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf69(X1) = hd(cons(skaf69(X1),X0)) ),
inference(resolution,[],[f97,f26]) ).
fof(f617,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf70(X1) = hd(cons(skaf70(X1),X0)) ),
inference(resolution,[],[f97,f25]) ).
fof(f616,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf74(X1) = hd(cons(skaf74(X1),X0)) ),
inference(resolution,[],[f97,f21]) ).
fof(f615,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf78(X1) = hd(cons(skaf78(X1),X0)) ),
inference(resolution,[],[f97,f17]) ).
fof(f614,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf79(X1) = hd(cons(skaf79(X1),X0)) ),
inference(resolution,[],[f97,f16]) ).
fof(f613,plain,
! [X0,X1] :
( ~ ssList(X0)
| skaf83(X1) = hd(cons(skaf83(X1),X0)) ),
inference(resolution,[],[f97,f12]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f602,plain,
sk2 = tl(cons(skac2,sk2)),
inference(resolution,[],[f510,f187]) ).
fof(f601,plain,
sk1 = tl(cons(skac2,sk1)),
inference(resolution,[],[f510,f186]) ).
fof(f606,plain,
sk2 = tl(cons(skac2,sk2)),
inference(forward_demodulation,[],[f604,f190]) ).
fof(f604,plain,
sk4 = tl(cons(skac2,sk4)),
inference(resolution,[],[f510,f189]) ).
fof(f605,plain,
sk1 = tl(cons(skac2,sk1)),
inference(forward_demodulation,[],[f603,f191]) ).
fof(f603,plain,
sk3 = tl(cons(skac2,sk3)),
inference(resolution,[],[f510,f188]) ).
fof(f600,plain,
! [X0] :
( tl(X0) = tl(cons(skac2,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f510,f75]) ).
fof(f599,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac2,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f510,f85]) ).
fof(f598,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac2,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f510,f86]) ).
fof(f597,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac2,skaf42(X0,X1))),
inference(resolution,[],[f510,f53]) ).
fof(f596,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac2,skaf43(X0,X1))),
inference(resolution,[],[f510,f52]) ).
fof(f595,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac2,skaf45(X0,X1))),
inference(resolution,[],[f510,f51]) ).
fof(f594,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac2,skaf46(X0,X1))),
inference(resolution,[],[f510,f50]) ).
fof(f593,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac2,skaf47(X0,X1))),
inference(resolution,[],[f510,f49]) ).
fof(f592,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac2,skaf48(X0,X1))),
inference(resolution,[],[f510,f48]) ).
fof(f591,plain,
! [X0] : skaf51(X0) = tl(cons(skac2,skaf51(X0))),
inference(resolution,[],[f510,f44]) ).
fof(f590,plain,
! [X0] : skaf52(X0) = tl(cons(skac2,skaf52(X0))),
inference(resolution,[],[f510,f43]) ).
fof(f589,plain,
! [X0] : skaf53(X0) = tl(cons(skac2,skaf53(X0))),
inference(resolution,[],[f510,f42]) ).
fof(f588,plain,
! [X0] : skaf56(X0) = tl(cons(skac2,skaf56(X0))),
inference(resolution,[],[f510,f39]) ).
fof(f587,plain,
! [X0] : skaf57(X0) = tl(cons(skac2,skaf57(X0))),
inference(resolution,[],[f510,f38]) ).
fof(f586,plain,
! [X0] : skaf58(X0) = tl(cons(skac2,skaf58(X0))),
inference(resolution,[],[f510,f37]) ).
fof(f585,plain,
! [X0] : skaf61(X0) = tl(cons(skac2,skaf61(X0))),
inference(resolution,[],[f510,f34]) ).
fof(f584,plain,
! [X0] : skaf62(X0) = tl(cons(skac2,skaf62(X0))),
inference(resolution,[],[f510,f33]) ).
fof(f583,plain,
! [X0] : skaf63(X0) = tl(cons(skac2,skaf63(X0))),
inference(resolution,[],[f510,f32]) ).
fof(f582,plain,
! [X0] : skaf66(X0) = tl(cons(skac2,skaf66(X0))),
inference(resolution,[],[f510,f29]) ).
fof(f581,plain,
! [X0] : skaf67(X0) = tl(cons(skac2,skaf67(X0))),
inference(resolution,[],[f510,f28]) ).
fof(f580,plain,
! [X0] : skaf68(X0) = tl(cons(skac2,skaf68(X0))),
inference(resolution,[],[f510,f27]) ).
fof(f579,plain,
! [X0] : skaf71(X0) = tl(cons(skac2,skaf71(X0))),
inference(resolution,[],[f510,f24]) ).
fof(f578,plain,
! [X0] : skaf72(X0) = tl(cons(skac2,skaf72(X0))),
inference(resolution,[],[f510,f23]) ).
fof(f577,plain,
! [X0] : skaf73(X0) = tl(cons(skac2,skaf73(X0))),
inference(resolution,[],[f510,f22]) ).
fof(f576,plain,
! [X0] : skaf75(X0) = tl(cons(skac2,skaf75(X0))),
inference(resolution,[],[f510,f20]) ).
fof(f575,plain,
! [X0] : skaf76(X0) = tl(cons(skac2,skaf76(X0))),
inference(resolution,[],[f510,f19]) ).
fof(f574,plain,
! [X0] : skaf77(X0) = tl(cons(skac2,skaf77(X0))),
inference(resolution,[],[f510,f18]) ).
fof(f573,plain,
! [X0] : skaf80(X0) = tl(cons(skac2,skaf80(X0))),
inference(resolution,[],[f510,f15]) ).
fof(f572,plain,
! [X0] : skaf81(X0) = tl(cons(skac2,skaf81(X0))),
inference(resolution,[],[f510,f14]) ).
fof(f571,plain,
! [X0] : skaf82(X0) = tl(cons(skac2,skaf82(X0))),
inference(resolution,[],[f510,f13]) ).
fof(f510,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac2,X0)) = X0 ),
inference(resolution,[],[f96,f10]) ).
fof(f527,plain,
nil = tl(cons(skac3,nil)),
inference(resolution,[],[f509,f8]) ).
fof(f559,plain,
sk2 = tl(cons(skac3,sk2)),
inference(resolution,[],[f509,f187]) ).
fof(f558,plain,
sk1 = tl(cons(skac3,sk1)),
inference(resolution,[],[f509,f186]) ).
fof(f563,plain,
sk2 = tl(cons(skac3,sk2)),
inference(forward_demodulation,[],[f561,f190]) ).
fof(f561,plain,
sk4 = tl(cons(skac3,sk4)),
inference(resolution,[],[f509,f189]) ).
fof(f562,plain,
sk1 = tl(cons(skac3,sk1)),
inference(forward_demodulation,[],[f560,f191]) ).
fof(f560,plain,
sk3 = tl(cons(skac3,sk3)),
inference(resolution,[],[f509,f188]) ).
fof(f557,plain,
! [X0] :
( tl(X0) = tl(cons(skac3,tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f509,f75]) ).
fof(f556,plain,
! [X0,X1] :
( app(X0,X1) = tl(cons(skac3,app(X0,X1)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f509,f85]) ).
fof(f555,plain,
! [X0,X1] :
( cons(X0,X1) = tl(cons(skac3,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f509,f86]) ).
fof(f554,plain,
! [X0,X1] : skaf42(X0,X1) = tl(cons(skac3,skaf42(X0,X1))),
inference(resolution,[],[f509,f53]) ).
fof(f553,plain,
! [X0,X1] : skaf43(X0,X1) = tl(cons(skac3,skaf43(X0,X1))),
inference(resolution,[],[f509,f52]) ).
fof(f552,plain,
! [X0,X1] : skaf45(X0,X1) = tl(cons(skac3,skaf45(X0,X1))),
inference(resolution,[],[f509,f51]) ).
fof(f551,plain,
! [X0,X1] : skaf46(X0,X1) = tl(cons(skac3,skaf46(X0,X1))),
inference(resolution,[],[f509,f50]) ).
fof(f550,plain,
! [X0,X1] : skaf47(X0,X1) = tl(cons(skac3,skaf47(X0,X1))),
inference(resolution,[],[f509,f49]) ).
fof(f549,plain,
! [X0,X1] : skaf48(X0,X1) = tl(cons(skac3,skaf48(X0,X1))),
inference(resolution,[],[f509,f48]) ).
fof(f548,plain,
! [X0] : skaf51(X0) = tl(cons(skac3,skaf51(X0))),
inference(resolution,[],[f509,f44]) ).
fof(f547,plain,
! [X0] : skaf52(X0) = tl(cons(skac3,skaf52(X0))),
inference(resolution,[],[f509,f43]) ).
fof(f546,plain,
! [X0] : skaf53(X0) = tl(cons(skac3,skaf53(X0))),
inference(resolution,[],[f509,f42]) ).
fof(f509,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(skac3,X0)) = X0 ),
inference(resolution,[],[f96,f9]) ).
fof(f526,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(hd(X1),X0)) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f96,f76]) ).
fof(f525,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf44(X1),X0)) = X0 ),
inference(resolution,[],[f96,f47]) ).
fof(f524,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf49(X1),X0)) = X0 ),
inference(resolution,[],[f96,f46]) ).
fof(f523,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf50(X1),X0)) = X0 ),
inference(resolution,[],[f96,f45]) ).
fof(f522,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf54(X1),X0)) = X0 ),
inference(resolution,[],[f96,f41]) ).
fof(f521,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf55(X1),X0)) = X0 ),
inference(resolution,[],[f96,f40]) ).
fof(f520,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf59(X1),X0)) = X0 ),
inference(resolution,[],[f96,f36]) ).
fof(f519,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf60(X1),X0)) = X0 ),
inference(resolution,[],[f96,f35]) ).
fof(f518,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf64(X1),X0)) = X0 ),
inference(resolution,[],[f96,f31]) ).
fof(f517,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf65(X1),X0)) = X0 ),
inference(resolution,[],[f96,f30]) ).
fof(f516,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf69(X1),X0)) = X0 ),
inference(resolution,[],[f96,f26]) ).
fof(f515,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf70(X1),X0)) = X0 ),
inference(resolution,[],[f96,f25]) ).
fof(f514,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf74(X1),X0)) = X0 ),
inference(resolution,[],[f96,f21]) ).
fof(f513,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf78(X1),X0)) = X0 ),
inference(resolution,[],[f96,f17]) ).
fof(f512,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf79(X1),X0)) = X0 ),
inference(resolution,[],[f96,f16]) ).
fof(f511,plain,
! [X0,X1] :
( ~ ssList(X0)
| tl(cons(skaf83(X1),X0)) = X0 ),
inference(resolution,[],[f96,f12]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f358,plain,
! [X0,X1] : skaf45(X0,X1) = app(nil,skaf45(X0,X1)),
inference(resolution,[],[f74,f51]) ).
fof(f357,plain,
! [X0,X1] : skaf46(X0,X1) = app(nil,skaf46(X0,X1)),
inference(resolution,[],[f74,f50]) ).
fof(f356,plain,
! [X0,X1] : skaf47(X0,X1) = app(nil,skaf47(X0,X1)),
inference(resolution,[],[f74,f49]) ).
fof(f355,plain,
! [X0,X1] : skaf48(X0,X1) = app(nil,skaf48(X0,X1)),
inference(resolution,[],[f74,f48]) ).
fof(f326,plain,
! [X0,X1] : skaf42(X0,X1) = app(skaf42(X0,X1),nil),
inference(resolution,[],[f73,f53]) ).
fof(f325,plain,
! [X0,X1] : skaf43(X0,X1) = app(skaf43(X0,X1),nil),
inference(resolution,[],[f73,f52]) ).
fof(f324,plain,
! [X0,X1] : skaf45(X0,X1) = app(skaf45(X0,X1),nil),
inference(resolution,[],[f73,f51]) ).
fof(f323,plain,
! [X0,X1] : skaf46(X0,X1) = app(skaf46(X0,X1),nil),
inference(resolution,[],[f73,f50]) ).
fof(f322,plain,
! [X0,X1] : skaf47(X0,X1) = app(skaf47(X0,X1),nil),
inference(resolution,[],[f73,f49]) ).
fof(f321,plain,
! [X0,X1] : skaf48(X0,X1) = app(skaf48(X0,X1),nil),
inference(resolution,[],[f73,f48]) ).
fof(f224,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f439,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,X0),nil) ),
inference(resolution,[],[f86,f73]) ).
fof(f438,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(nil,cons(X1,X0)) ),
inference(resolution,[],[f86,f74]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f388,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(app(X0,X1),nil) ),
inference(resolution,[],[f85,f73]) ).
fof(f387,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[],[f85,f74]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f354,plain,
! [X0] : skaf51(X0) = app(nil,skaf51(X0)),
inference(resolution,[],[f74,f44]) ).
fof(f353,plain,
! [X0] : skaf52(X0) = app(nil,skaf52(X0)),
inference(resolution,[],[f74,f43]) ).
fof(f352,plain,
! [X0] : skaf53(X0) = app(nil,skaf53(X0)),
inference(resolution,[],[f74,f42]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f351,plain,
! [X0] : skaf56(X0) = app(nil,skaf56(X0)),
inference(resolution,[],[f74,f39]) ).
fof(f350,plain,
! [X0] : skaf57(X0) = app(nil,skaf57(X0)),
inference(resolution,[],[f74,f38]) ).
fof(f349,plain,
! [X0] : skaf58(X0) = app(nil,skaf58(X0)),
inference(resolution,[],[f74,f37]) ).
fof(f348,plain,
! [X0] : skaf61(X0) = app(nil,skaf61(X0)),
inference(resolution,[],[f74,f34]) ).
fof(f347,plain,
! [X0] : skaf62(X0) = app(nil,skaf62(X0)),
inference(resolution,[],[f74,f33]) ).
fof(f346,plain,
! [X0] : skaf63(X0) = app(nil,skaf63(X0)),
inference(resolution,[],[f74,f32]) ).
fof(f345,plain,
! [X0] : skaf66(X0) = app(nil,skaf66(X0)),
inference(resolution,[],[f74,f29]) ).
fof(f344,plain,
! [X0] : skaf67(X0) = app(nil,skaf67(X0)),
inference(resolution,[],[f74,f28]) ).
fof(f343,plain,
! [X0] : skaf68(X0) = app(nil,skaf68(X0)),
inference(resolution,[],[f74,f27]) ).
fof(f342,plain,
! [X0] : skaf71(X0) = app(nil,skaf71(X0)),
inference(resolution,[],[f74,f24]) ).
fof(f341,plain,
! [X0] : skaf72(X0) = app(nil,skaf72(X0)),
inference(resolution,[],[f74,f23]) ).
fof(f370,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f75,f73]) ).
fof(f369,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f75,f74]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f340,plain,
! [X0] : skaf73(X0) = app(nil,skaf73(X0)),
inference(resolution,[],[f74,f22]) ).
fof(f339,plain,
! [X0] : skaf75(X0) = app(nil,skaf75(X0)),
inference(resolution,[],[f74,f20]) ).
fof(f338,plain,
! [X0] : skaf76(X0) = app(nil,skaf76(X0)),
inference(resolution,[],[f74,f19]) ).
fof(f337,plain,
! [X0] : skaf77(X0) = app(nil,skaf77(X0)),
inference(resolution,[],[f74,f18]) ).
fof(f336,plain,
! [X0] : skaf80(X0) = app(nil,skaf80(X0)),
inference(resolution,[],[f74,f15]) ).
fof(f335,plain,
! [X0] : skaf81(X0) = app(nil,skaf81(X0)),
inference(resolution,[],[f74,f14]) ).
fof(f334,plain,
! [X0] : skaf82(X0) = app(nil,skaf82(X0)),
inference(resolution,[],[f74,f13]) ).
fof(f320,plain,
! [X0] : skaf51(X0) = app(skaf51(X0),nil),
inference(resolution,[],[f73,f44]) ).
fof(f319,plain,
! [X0] : skaf52(X0) = app(skaf52(X0),nil),
inference(resolution,[],[f73,f43]) ).
fof(f318,plain,
! [X0] : skaf53(X0) = app(skaf53(X0),nil),
inference(resolution,[],[f73,f42]) ).
fof(f317,plain,
! [X0] : skaf56(X0) = app(skaf56(X0),nil),
inference(resolution,[],[f73,f39]) ).
fof(f316,plain,
! [X0] : skaf57(X0) = app(skaf57(X0),nil),
inference(resolution,[],[f73,f38]) ).
fof(f315,plain,
! [X0] : skaf58(X0) = app(skaf58(X0),nil),
inference(resolution,[],[f73,f37]) ).
fof(f314,plain,
! [X0] : skaf61(X0) = app(skaf61(X0),nil),
inference(resolution,[],[f73,f34]) ).
fof(f313,plain,
! [X0] : skaf62(X0) = app(skaf62(X0),nil),
inference(resolution,[],[f73,f33]) ).
fof(f312,plain,
! [X0] : skaf63(X0) = app(skaf63(X0),nil),
inference(resolution,[],[f73,f32]) ).
fof(f311,plain,
! [X0] : skaf66(X0) = app(skaf66(X0),nil),
inference(resolution,[],[f73,f29]) ).
fof(f310,plain,
! [X0] : skaf67(X0) = app(skaf67(X0),nil),
inference(resolution,[],[f73,f28]) ).
fof(f309,plain,
! [X0] : skaf68(X0) = app(skaf68(X0),nil),
inference(resolution,[],[f73,f27]) ).
fof(f308,plain,
! [X0] : skaf71(X0) = app(skaf71(X0),nil),
inference(resolution,[],[f73,f24]) ).
fof(f307,plain,
! [X0] : skaf72(X0) = app(skaf72(X0),nil),
inference(resolution,[],[f73,f23]) ).
fof(f306,plain,
! [X0] : skaf73(X0) = app(skaf73(X0),nil),
inference(resolution,[],[f73,f22]) ).
fof(f305,plain,
! [X0] : skaf75(X0) = app(skaf75(X0),nil),
inference(resolution,[],[f73,f20]) ).
fof(f304,plain,
! [X0] : skaf76(X0) = app(skaf76(X0),nil),
inference(resolution,[],[f73,f19]) ).
fof(f303,plain,
! [X0] : skaf77(X0) = app(skaf77(X0),nil),
inference(resolution,[],[f73,f18]) ).
fof(f302,plain,
! [X0] : skaf80(X0) = app(skaf80(X0),nil),
inference(resolution,[],[f73,f15]) ).
fof(f301,plain,
! [X0] : skaf81(X0) = app(skaf81(X0),nil),
inference(resolution,[],[f73,f14]) ).
fof(f300,plain,
! [X0] : skaf82(X0) = app(skaf82(X0),nil),
inference(resolution,[],[f73,f13]) ).
fof(f362,plain,
sk2 = app(nil,sk2),
inference(resolution,[],[f74,f187]) ).
fof(f361,plain,
sk1 = app(nil,sk1),
inference(resolution,[],[f74,f186]) ).
fof(f366,plain,
sk2 = app(nil,sk2),
inference(forward_demodulation,[],[f364,f190]) ).
fof(f364,plain,
sk4 = app(nil,sk4),
inference(resolution,[],[f74,f189]) ).
fof(f365,plain,
sk1 = app(nil,sk1),
inference(forward_demodulation,[],[f363,f191]) ).
fof(f363,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f188]) ).
fof(f360,plain,
! [X0,X1] : skaf42(X0,X1) = app(nil,skaf42(X0,X1)),
inference(resolution,[],[f74,f53]) ).
fof(f359,plain,
! [X0,X1] : skaf43(X0,X1) = app(nil,skaf43(X0,X1)),
inference(resolution,[],[f74,f52]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f328,plain,
sk2 = app(sk2,nil),
inference(resolution,[],[f73,f187]) ).
fof(f327,plain,
sk1 = app(sk1,nil),
inference(resolution,[],[f73,f186]) ).
fof(f332,plain,
sk2 = app(sk2,nil),
inference(forward_demodulation,[],[f330,f190]) ).
fof(f330,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f189]) ).
fof(f331,plain,
sk1 = app(sk1,nil),
inference(forward_demodulation,[],[f329,f191]) ).
fof(f329,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f188]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f231,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f186,f187,f188,f189,f191,f190,f194,f195,f193,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199,f227,f200,f228,f82,f80,f84,f76,f78,f77,f75,f109,f104,f225,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f229,f205,f230,f169,f149,f131,f168,f132,f100,f118,f119,f123,f133,f224,f139,f126,f130,f122,f121,f140,f141,f125,f124,f134,f135,f136,f137,f150,f151,f208,f209,f223]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f245,plain,
( nil = sk1
| nil != sk4 ),
inference(forward_demodulation,[],[f193,f191]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f234,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(forward_demodulation,[],[f194,f190]) ).
fof(f228,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f186,f187,f188,f189,f191,f190,f194,f195,f193,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199,f227,f200]) ).
fof(f227,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f186,f187,f188,f189,f191,f190,f194,f195,f193,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199]) ).
fof(f226,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f186,f187,f188,f189,f191,f190,f194,f195,f193,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f221,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f219,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f222,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f223,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil != X0
| nil = app(X0,nil) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f209,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f208,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f121,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f230,plain,
! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f187,f188,f189,f191,f190,f194,f195,f193,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199,f227,f200,f228,f82,f80,f84,f76,f78,f77,f75,f109,f104,f225,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204,f229,f205]) ).
fof(f205,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| totalorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f229,plain,
! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(global_subsumption,[],[f186,f187,f188,f189,f191,f190,f194,f195,f193,f196,f197,f192,f11,f1,f2,f6,f7,f5,f4,f3,f9,f10,f8,f54,f47,f12,f16,f26,f25,f21,f17,f30,f31,f45,f35,f36,f41,f40,f46,f39,f38,f42,f43,f32,f37,f34,f29,f28,f27,f24,f23,f22,f20,f19,f18,f15,f14,f13,f33,f44,f53,f48,f50,f49,f51,f52,f71,f63,f55,f62,f65,f64,f68,f69,f70,f66,f67,f56,f58,f61,f60,f57,f59,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f92,f93,f95,f94,f88,f87,f165,f166,f167,f90,f91,f164,f163,f198,f226,f199,f227,f200,f228,f82,f80,f84,f76,f78,f77,f75,f109,f104,f225,f110,f105,f107,f114,f106,f103,f108,f102,f157,f203,f204]) ).
fof(f204,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssList(nil)
| strictorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f225,plain,
! [X1] :
( ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f202,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ lt(X1,X1) ),
inference(equality_resolution,[],[f111]) ).
fof(f111,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f200,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f199,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f198,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f197,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk3 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f193,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f195,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f194,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f1264,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1262,f239]) ).
fof(f239,plain,
( ssItem(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl0_1
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1262,plain,
( ~ ssItem(sk5)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1261,f8]) ).
fof(f1261,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_2 ),
inference(resolution,[],[f1247,f86]) ).
fof(f1247,plain,
( ~ ssList(cons(sk5,nil))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1246,f749]) ).
fof(f749,plain,
( sk1 = app(cons(sk5,nil),sk6)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f681,f242]) ).
fof(f242,plain,
( neq(sk2,nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f1246,plain,
( sk1 != app(cons(sk5,nil),sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1078,f684]) ).
fof(f684,plain,
( ssList(sk6)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f235,f242]) ).
fof(f1078,plain,
( ~ ssList(sk6)
| sk1 != app(cons(sk5,nil),sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1072]) ).
fof(f1072,plain,
( sk2 != sk2
| ~ ssList(sk6)
| sk1 != app(cons(sk5,nil),sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_2 ),
inference(superposition,[],[f192,f738]) ).
fof(f738,plain,
( sk2 = app(sk6,cons(sk5,nil))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f680,f242]) ).
fof(f679,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f677,f187]) ).
fof(f677,plain,
( ~ ssList(sk2)
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f676,f255]) ).
fof(f255,plain,
( nil != sk2
| spl0_3 ),
inference(superposition,[],[f249,f190]) ).
fof(f249,plain,
( nil != sk4
| spl0_3 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_3
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f676,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_2 ),
inference(subsumption_resolution,[],[f675,f8]) ).
fof(f675,plain,
( ~ ssList(nil)
| nil = sk2
| ~ ssList(sk2)
| spl0_2 ),
inference(resolution,[],[f100,f243]) ).
fof(f264,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f258,f238]) ).
fof(f238,plain,
( ~ ssItem(sk5)
| spl0_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f258,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl0_5
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f262,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f72,f260,f257]) ).
fof(f260,plain,
( spl0_6
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f254,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f245,f251,f247]) ).
fof(f244,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f234,f241,f237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC325-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 03:16:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (26027)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (26030)WARNING: value z3 for option sas not known
% 0.14/0.37 % (26034)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (26028)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (26031)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (26029)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (26030)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (26033)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (26032)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.40 TRYING [3]
% 0.20/0.41 % (26030)First to succeed.
% 0.20/0.42 % (26030)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26027"
% 0.20/0.43 TRYING [1]
% 0.20/0.43 % (26030)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (26030)------------------------------
% 0.20/0.43 % (26030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.43 % (26030)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (26030)Memory used [KB]: 1676
% 0.20/0.43 % (26030)Time elapsed: 0.055 s
% 0.20/0.43 % (26030)Instructions burned: 109 (million)
% 0.20/0.43 % (26027)Success in time 0.069 s
%------------------------------------------------------------------------------