0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : vampire --mode casc -t %d %s 0.12/0.33 % Computer : n020.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % DateTime : Thu Jul 2 07:41:47 EDT 2020 0.12/0.33 % CPUTime : 0.18/0.40 % dis+10_16_awrs=decay:awrsf=256:afr=on:afp=40000:afq=2.0:amm=off:bsr=on:cond=on:er=known:gsp=input_only:irw=on:lma=on:nm=6:newcnf=on:nwc=3:sas=z3:sd=4:ss=axioms:s2a=on:sp=frequency:updr=off_8 on theBenchmark 0.18/0.52 % Refutation found. Thanks to Tanya! 0.18/0.52 % SZS status Theorem for theBenchmark 0.18/0.52 % SZS output start Proof for theBenchmark 0.18/0.52 fof(f1906,plain,( 0.18/0.52 $false), 0.18/0.52 inference(avatar_sat_refutation,[],[f214,f221,f234,f241,f248,f255,f256,f257,f264,f265,f266,f273,f280,f287,f294,f301,f308,f315,f322,f329,f336,f343,f350,f357,f364,f371,f378,f385,f392,f399,f406,f413,f420,f427,f434,f441,f448,f455,f462,f469,f476,f483,f490,f497,f504,f516,f519,f529,f566,f573,f580,f587,f594,f601,f608,f615,f622,f629,f636,f643,f650,f657,f664,f671,f678,f685,f692,f699,f706,f713,f720,f727,f734,f741,f748,f755,f765,f772,f779,f790,f815,f824,f834,f883,f890,f897,f904,f940,f947,f956,f964,f973,f981,f990,f998,f1007,f1027,f1034,f1041,f1050,f1058,f1067,f1075,f1084,f1092,f1101,f1126,f1136,f1152,f1160,f1185,f1188,f1197,f1214,f1226,f1240,f1249,f1257,f1266,f1274,f1283,f1293,f1317,f1324,f1331,f1338,f1345,f1352,f1354,f1358,f1366,f1375,f1383,f1392,f1400,f1409,f1417,f1426,f1444,f1451,f1476,f1483,f1490,f1497,f1509,f1517,f1526,f1535,f1572,f1624,f1633,f1641,f1650,f1658,f1667,f1675,f1684,f1692,f1701,f1709,f1718,f1739,f1756,f1764,f1772,f1779,f1787,f1867,f1875,f1889,f1903,f1905])). 0.18/0.52 fof(f1905,plain,( 0.18/0.52 ~spl4_6 | ~spl4_152 | spl4_169), 0.18/0.52 inference(avatar_contradiction_clause,[],[f1904])). 0.18/0.52 fof(f1904,plain,( 0.18/0.52 $false | (~spl4_6 | ~spl4_152 | ~spl4_169)), 0.18/0.52 inference(subsumption_resolution,[],[f1895,f903])). 0.18/0.52 fof(f903,plain,( 0.18/0.52 ~leq(n0,tptp_minus_1) | ~spl4_169), 0.18/0.52 inference(avatar_component_clause,[],[f902])). 0.18/0.52 fof(f902,plain,( 0.18/0.52 spl4_169 <=> ~leq(n0,tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_169])])). 0.18/0.52 fof(f1895,plain,( 0.18/0.52 leq(n0,tptp_minus_1) | (~spl4_6 | ~spl4_152)), 0.18/0.52 inference(resolution,[],[f1855,f233])). 0.18/0.52 fof(f233,plain,( 0.18/0.52 leq(n0,sK0) | ~spl4_6), 0.18/0.52 inference(avatar_component_clause,[],[f232])). 0.18/0.52 fof(f232,plain,( 0.18/0.52 spl4_6 <=> leq(n0,sK0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_6])])). 0.18/0.52 fof(f1855,plain,( 0.18/0.52 ( ! [X77] : (~leq(X77,sK0) | leq(X77,tptp_minus_1)) ) | ~spl4_152), 0.18/0.52 inference(resolution,[],[f163,f789])). 0.18/0.52 fof(f789,plain,( 0.18/0.52 leq(sK0,tptp_minus_1) | ~spl4_152), 0.18/0.52 inference(avatar_component_clause,[],[f788])). 0.18/0.52 fof(f788,plain,( 0.18/0.52 spl4_152 <=> leq(sK0,tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_152])])). 0.18/0.52 fof(f163,plain,( 0.18/0.52 ( ! [X2,X0,X1] : (~leq(X1,X2) | ~leq(X0,X1) | leq(X0,X2)) )), 0.18/0.52 inference(cnf_transformation,[],[f115])). 0.18/0.52 fof(f115,plain,( 0.18/0.52 ! [X0,X1,X2] : (leq(X0,X2) | ~leq(X1,X2) | ~leq(X0,X1))), 0.18/0.52 inference(flattening,[],[f114])). 0.18/0.52 fof(f114,plain,( 0.18/0.52 ! [X0,X1,X2] : (leq(X0,X2) | (~leq(X1,X2) | ~leq(X0,X1)))), 0.18/0.52 inference(ennf_transformation,[],[f97])). 0.18/0.52 fof(f97,plain,( 0.18/0.52 ! [X0,X1,X2] : ((leq(X1,X2) & leq(X0,X1)) => leq(X0,X2))), 0.18/0.52 inference(rectify,[],[f20])). 0.18/0.52 fof(f20,axiom,( 0.18/0.52 ! [X0,X6,X7] : ((leq(X6,X7) & leq(X0,X6)) => leq(X0,X7))), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq)). 0.18/0.52 fof(f1903,plain,( 0.18/0.52 spl4_328 | ~spl4_152), 0.18/0.52 inference(avatar_split_clause,[],[f1894,f788,f1901])). 0.18/0.52 fof(f1901,plain,( 0.18/0.52 spl4_328 <=> leq(minus(sK0,n1),tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_328])])). 0.18/0.52 fof(f1894,plain,( 0.18/0.52 leq(minus(sK0,n1),tptp_minus_1) | ~spl4_152), 0.18/0.52 inference(resolution,[],[f1855,f793])). 0.18/0.52 fof(f793,plain,( 0.18/0.52 ( ! [X0] : (leq(minus(X0,n1),X0)) )), 0.18/0.52 inference(superposition,[],[f531,f207])). 0.18/0.52 fof(f207,plain,( 0.18/0.52 ( ! [X0] : (succ(minus(X0,n1)) = X0) )), 0.18/0.52 inference(definition_unfolding,[],[f203,f152])). 0.18/0.52 fof(f152,plain,( 0.18/0.52 ( ! [X0] : (minus(X0,n1) = pred(X0)) )), 0.18/0.52 inference(cnf_transformation,[],[f6])). 0.18/0.52 fof(f6,axiom,( 0.18/0.52 ! [X0] : minus(X0,n1) = pred(X0)), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1)). 0.18/0.52 fof(f203,plain,( 0.18/0.52 ( ! [X0] : (succ(pred(X0)) = X0) )), 0.18/0.52 inference(cnf_transformation,[],[f45])). 0.18/0.52 fof(f45,axiom,( 0.18/0.52 ! [X0] : succ(pred(X0)) = X0), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred)). 0.18/0.52 fof(f531,plain,( 0.18/0.52 ( ! [X0] : (leq(X0,succ(X0))) )), 0.18/0.52 inference(resolution,[],[f165,f196])). 0.18/0.52 fof(f196,plain,( 0.18/0.52 ( ! [X0] : (gt(succ(X0),X0)) )), 0.18/0.52 inference(cnf_transformation,[],[f42])). 0.18/0.52 fof(f42,axiom,( 0.18/0.52 ! [X0] : gt(succ(X0),X0)), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ)). 0.18/0.52 fof(f165,plain,( 0.18/0.52 ( ! [X0,X1] : (~gt(X1,X0) | leq(X0,X1)) )), 0.18/0.52 inference(cnf_transformation,[],[f118])). 0.18/0.52 fof(f118,plain,( 0.18/0.52 ! [X0,X1] : (leq(X0,X1) | ~gt(X1,X0))), 0.18/0.52 inference(ennf_transformation,[],[f99])). 0.18/0.52 fof(f99,plain,( 0.18/0.52 ! [X0,X1] : (gt(X1,X0) => leq(X0,X1))), 0.18/0.52 inference(rectify,[],[f33])). 0.18/0.52 fof(f33,axiom,( 0.18/0.52 ! [X0,X6] : (gt(X6,X0) => leq(X0,X6))), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1)). 0.18/0.52 fof(f1889,plain,( 0.18/0.52 spl4_326 | ~spl4_6 | ~spl4_194), 0.18/0.52 inference(avatar_split_clause,[],[f1879,f1048,f232,f1887])). 0.18/0.52 fof(f1887,plain,( 0.18/0.52 spl4_326 <=> leq(minus(tptp_minus_1,n1),sK0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_326])])). 0.18/0.52 fof(f1048,plain,( 0.18/0.52 spl4_194 <=> leq(minus(tptp_minus_1,n1),n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_194])])). 0.18/0.52 fof(f1879,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),sK0) | (~spl4_6 | ~spl4_194)), 0.18/0.52 inference(resolution,[],[f1824,f1049])). 0.18/0.52 fof(f1049,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),n0) | ~spl4_194), 0.18/0.52 inference(avatar_component_clause,[],[f1048])). 0.18/0.52 fof(f1824,plain,( 0.18/0.52 ( ! [X46] : (~leq(X46,n0) | leq(X46,sK0)) ) | ~spl4_6), 0.18/0.52 inference(resolution,[],[f163,f233])). 0.18/0.52 fof(f1875,plain,( 0.18/0.52 spl4_324 | ~spl4_2 | ~spl4_174), 0.18/0.52 inference(avatar_split_clause,[],[f1860,f954,f219,f1873])). 0.18/0.52 fof(f1873,plain,( 0.18/0.52 spl4_324 <=> leq(sK0,pv10)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_324])])). 0.18/0.52 fof(f219,plain,( 0.18/0.52 spl4_2 <=> leq(n0,pv10)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_2])])). 0.18/0.52 fof(f954,plain,( 0.18/0.52 spl4_174 <=> leq(sK0,n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_174])])). 0.18/0.52 fof(f1860,plain,( 0.18/0.52 leq(sK0,pv10) | (~spl4_2 | ~spl4_174)), 0.18/0.52 inference(resolution,[],[f1823,f955])). 0.18/0.52 fof(f955,plain,( 0.18/0.52 leq(sK0,n0) | ~spl4_174), 0.18/0.52 inference(avatar_component_clause,[],[f954])). 0.18/0.52 fof(f1823,plain,( 0.18/0.52 ( ! [X45] : (~leq(X45,n0) | leq(X45,pv10)) ) | ~spl4_2), 0.18/0.52 inference(resolution,[],[f163,f220])). 0.18/0.52 fof(f220,plain,( 0.18/0.52 leq(n0,pv10) | ~spl4_2), 0.18/0.52 inference(avatar_component_clause,[],[f219])). 0.18/0.52 fof(f1867,plain,( 0.18/0.52 spl4_322 | ~spl4_2 | ~spl4_194), 0.18/0.52 inference(avatar_split_clause,[],[f1857,f1048,f219,f1865])). 0.18/0.52 fof(f1865,plain,( 0.18/0.52 spl4_322 <=> leq(minus(tptp_minus_1,n1),pv10)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_322])])). 0.18/0.52 fof(f1857,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),pv10) | (~spl4_2 | ~spl4_194)), 0.18/0.52 inference(resolution,[],[f1823,f1049])). 0.18/0.52 fof(f1787,plain,( 0.18/0.52 ~spl4_321 | ~spl4_28 | ~spl4_46), 0.18/0.52 inference(avatar_split_clause,[],[f1780,f376,f313,f1785])). 0.18/0.52 fof(f1785,plain,( 0.18/0.52 spl4_321 <=> ~leq(n1,tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_321])])). 0.18/0.52 fof(f313,plain,( 0.18/0.52 spl4_28 <=> succ(n0) = n1), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_28])])). 0.18/0.52 fof(f376,plain,( 0.18/0.52 spl4_46 <=> succ(tptp_minus_1) = n0), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_46])])). 0.18/0.52 fof(f1780,plain,( 0.18/0.52 ~leq(n1,tptp_minus_1) | (~spl4_28 | ~spl4_46)), 0.18/0.52 inference(forward_demodulation,[],[f1747,f314])). 0.18/0.52 fof(f314,plain,( 0.18/0.52 succ(n0) = n1 | ~spl4_28), 0.18/0.52 inference(avatar_component_clause,[],[f313])). 0.18/0.52 fof(f1747,plain,( 0.18/0.52 ~leq(succ(n0),tptp_minus_1) | ~spl4_46), 0.18/0.52 inference(superposition,[],[f1719,f377])). 0.18/0.52 fof(f377,plain,( 0.18/0.52 succ(tptp_minus_1) = n0 | ~spl4_46), 0.18/0.52 inference(avatar_component_clause,[],[f376])). 0.18/0.52 fof(f1719,plain,( 0.18/0.52 ( ! [X0] : (~leq(succ(succ(X0)),X0)) )), 0.18/0.52 inference(resolution,[],[f195,f865])). 0.18/0.52 fof(f865,plain,( 0.18/0.52 ( ! [X2] : (~leq(succ(X2),X2)) )), 0.18/0.52 inference(resolution,[],[f193,f199])). 0.18/0.52 fof(f199,plain,( 0.18/0.52 ( ! [X0] : (~gt(X0,X0)) )), 0.18/0.52 inference(cnf_transformation,[],[f19])). 0.18/0.52 fof(f19,axiom,( 0.18/0.52 ! [X0] : ~gt(X0,X0)), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt)). 0.18/0.52 fof(f193,plain,( 0.18/0.52 ( ! [X0,X1] : (gt(succ(X1),X0) | ~leq(X0,X1)) )), 0.18/0.52 inference(cnf_transformation,[],[f101])). 0.18/0.52 fof(f101,plain,( 0.18/0.52 ! [X0,X1] : (leq(X0,X1) <=> gt(succ(X1),X0))), 0.18/0.52 inference(rectify,[],[f3])). 0.18/0.52 fof(f3,axiom,( 0.18/0.52 ! [X0,X6] : (leq(X0,X6) <=> gt(succ(X6),X0))), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv)). 0.18/0.52 fof(f195,plain,( 0.18/0.52 ( ! [X0,X1] : (leq(X0,succ(X1)) | ~leq(X0,X1)) )), 0.18/0.52 inference(cnf_transformation,[],[f128])). 0.18/0.52 fof(f128,plain,( 0.18/0.52 ! [X0,X1] : (leq(X0,succ(X1)) | ~leq(X0,X1))), 0.18/0.52 inference(ennf_transformation,[],[f103])). 0.18/0.52 fof(f103,plain,( 0.18/0.52 ! [X0,X1] : (leq(X0,X1) => leq(X0,succ(X1)))), 0.18/0.52 inference(rectify,[],[f47])). 0.18/0.52 fof(f47,axiom,( 0.18/0.52 ! [X0,X6] : (leq(X0,X6) => leq(X0,succ(X6)))), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ)). 0.18/0.52 fof(f1779,plain,( 0.18/0.52 ~spl4_319 | ~spl4_158), 0.18/0.52 inference(avatar_split_clause,[],[f1746,f822,f1777])). 0.18/0.52 fof(f1777,plain,( 0.18/0.52 spl4_319 <=> ~leq(succ(n3),n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_319])])). 0.18/0.52 fof(f822,plain,( 0.18/0.52 spl4_158 <=> succ(n2) = n3), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_158])])). 0.18/0.52 fof(f1746,plain,( 0.18/0.52 ~leq(succ(n3),n2) | ~spl4_158), 0.18/0.52 inference(superposition,[],[f1719,f823])). 0.18/0.52 fof(f823,plain,( 0.18/0.52 succ(n2) = n3 | ~spl4_158), 0.18/0.52 inference(avatar_component_clause,[],[f822])). 0.18/0.52 fof(f1772,plain,( 0.18/0.52 ~spl4_317 | ~spl4_28 | ~spl4_88), 0.18/0.52 inference(avatar_split_clause,[],[f1765,f527,f313,f1770])). 0.18/0.52 fof(f1770,plain,( 0.18/0.52 spl4_317 <=> ~leq(n2,n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_317])])). 0.18/0.52 fof(f527,plain,( 0.18/0.52 spl4_88 <=> succ(n1) = n2), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_88])])). 0.18/0.52 fof(f1765,plain,( 0.18/0.52 ~leq(n2,n0) | (~spl4_28 | ~spl4_88)), 0.18/0.52 inference(forward_demodulation,[],[f1745,f528])). 0.18/0.52 fof(f528,plain,( 0.18/0.52 succ(n1) = n2 | ~spl4_88), 0.18/0.52 inference(avatar_component_clause,[],[f527])). 0.18/0.52 fof(f1745,plain,( 0.18/0.52 ~leq(succ(n1),n0) | ~spl4_28), 0.18/0.52 inference(superposition,[],[f1719,f314])). 0.18/0.52 fof(f1764,plain,( 0.18/0.52 ~spl4_315 | ~spl4_88 | ~spl4_158), 0.18/0.52 inference(avatar_split_clause,[],[f1757,f822,f527,f1762])). 0.18/0.52 fof(f1762,plain,( 0.18/0.52 spl4_315 <=> ~leq(n3,n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_315])])). 0.18/0.52 fof(f1757,plain,( 0.18/0.52 ~leq(n3,n1) | (~spl4_88 | ~spl4_158)), 0.18/0.52 inference(forward_demodulation,[],[f1743,f823])). 0.18/0.52 fof(f1743,plain,( 0.18/0.52 ~leq(succ(n2),n1) | ~spl4_88), 0.18/0.52 inference(superposition,[],[f1719,f528])). 0.18/0.52 fof(f1756,plain,( 0.18/0.52 ~spl4_313 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1742,f1291,f1754])). 0.18/0.52 fof(f1754,plain,( 0.18/0.52 spl4_313 <=> ~leq(succ(n5),succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_313])])). 0.18/0.52 fof(f1291,plain,( 0.18/0.52 spl4_236 <=> succ(succ(n3)) = n5), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_236])])). 0.18/0.52 fof(f1742,plain,( 0.18/0.52 ~leq(succ(n5),succ(n3)) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f1719,f1292])). 0.18/0.52 fof(f1292,plain,( 0.18/0.52 succ(succ(n3)) = n5 | ~spl4_236), 0.18/0.52 inference(avatar_component_clause,[],[f1291])). 0.18/0.52 fof(f1739,plain,( 0.18/0.52 ~spl4_311 | spl4_245), 0.18/0.52 inference(avatar_split_clause,[],[f1721,f1336,f1737])). 0.18/0.52 fof(f1737,plain,( 0.18/0.52 spl4_311 <=> ~leq(n5,n3)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_311])])). 0.18/0.52 fof(f1336,plain,( 0.18/0.52 spl4_245 <=> ~leq(n5,succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_245])])). 0.18/0.52 fof(f1721,plain,( 0.18/0.52 ~leq(n5,n3) | ~spl4_245), 0.18/0.52 inference(resolution,[],[f195,f1337])). 0.18/0.52 fof(f1337,plain,( 0.18/0.52 ~leq(n5,succ(n3)) | ~spl4_245), 0.18/0.52 inference(avatar_component_clause,[],[f1336])). 0.18/0.52 fof(f1718,plain,( 0.18/0.52 spl4_308 | ~spl4_306), 0.18/0.52 inference(avatar_split_clause,[],[f1711,f1707,f1716])). 0.18/0.52 fof(f1716,plain,( 0.18/0.52 spl4_308 <=> leq(tptp_minus_1,succ(succ(n5)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_308])])). 0.18/0.52 fof(f1707,plain,( 0.18/0.52 spl4_306 <=> gt(succ(succ(n5)),tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_306])])). 0.18/0.52 fof(f1711,plain,( 0.18/0.52 leq(tptp_minus_1,succ(succ(n5))) | ~spl4_306), 0.18/0.52 inference(resolution,[],[f1708,f165])). 0.18/0.52 fof(f1708,plain,( 0.18/0.52 gt(succ(succ(n5)),tptp_minus_1) | ~spl4_306), 0.18/0.52 inference(avatar_component_clause,[],[f1707])). 0.18/0.52 fof(f1709,plain,( 0.18/0.52 spl4_306 | ~spl4_46 | ~spl4_304), 0.18/0.52 inference(avatar_split_clause,[],[f1702,f1699,f376,f1707])). 0.18/0.52 fof(f1699,plain,( 0.18/0.52 spl4_304 <=> leq(n0,succ(succ(n5)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_304])])). 0.18/0.52 fof(f1702,plain,( 0.18/0.52 gt(succ(succ(n5)),tptp_minus_1) | (~spl4_46 | ~spl4_304)), 0.18/0.52 inference(resolution,[],[f1700,f1110])). 0.18/0.52 fof(f1110,plain,( 0.18/0.52 ( ! [X5] : (~leq(n0,X5) | gt(X5,tptp_minus_1)) ) | ~spl4_46), 0.18/0.52 inference(superposition,[],[f194,f377])). 0.18/0.52 fof(f194,plain,( 0.18/0.52 ( ! [X0,X1] : (~leq(succ(X0),X1) | gt(X1,X0)) )), 0.18/0.52 inference(cnf_transformation,[],[f127])). 0.18/0.52 fof(f127,plain,( 0.18/0.52 ! [X0,X1] : (gt(X1,X0) | ~leq(succ(X0),X1))), 0.18/0.52 inference(ennf_transformation,[],[f102])). 0.18/0.52 fof(f102,plain,( 0.18/0.52 ! [X0,X1] : (leq(succ(X0),X1) => gt(X1,X0))), 0.18/0.52 inference(rectify,[],[f32])). 0.18/0.52 fof(f32,axiom,( 0.18/0.52 ! [X0,X6] : (leq(succ(X0),X6) => gt(X6,X0))), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt)). 0.18/0.52 fof(f1700,plain,( 0.18/0.52 leq(n0,succ(succ(n5))) | ~spl4_304), 0.18/0.52 inference(avatar_component_clause,[],[f1699])). 0.18/0.52 fof(f1701,plain,( 0.18/0.52 spl4_304 | ~spl4_302), 0.18/0.52 inference(avatar_split_clause,[],[f1694,f1690,f1699])). 0.18/0.52 fof(f1690,plain,( 0.18/0.52 spl4_302 <=> gt(succ(succ(n5)),n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_302])])). 0.18/0.52 fof(f1694,plain,( 0.18/0.52 leq(n0,succ(succ(n5))) | ~spl4_302), 0.18/0.52 inference(resolution,[],[f1691,f165])). 0.18/0.52 fof(f1691,plain,( 0.18/0.52 gt(succ(succ(n5)),n0) | ~spl4_302), 0.18/0.52 inference(avatar_component_clause,[],[f1690])). 0.18/0.52 fof(f1692,plain,( 0.18/0.52 spl4_302 | ~spl4_28 | ~spl4_300), 0.18/0.52 inference(avatar_split_clause,[],[f1685,f1682,f313,f1690])). 0.18/0.52 fof(f1682,plain,( 0.18/0.52 spl4_300 <=> leq(n1,succ(succ(n5)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_300])])). 0.18/0.52 fof(f1685,plain,( 0.18/0.52 gt(succ(succ(n5)),n0) | (~spl4_28 | ~spl4_300)), 0.18/0.52 inference(resolution,[],[f1683,f1108])). 0.18/0.52 fof(f1108,plain,( 0.18/0.52 ( ! [X3] : (~leq(n1,X3) | gt(X3,n0)) ) | ~spl4_28), 0.18/0.52 inference(superposition,[],[f194,f314])). 0.18/0.52 fof(f1683,plain,( 0.18/0.52 leq(n1,succ(succ(n5))) | ~spl4_300), 0.18/0.52 inference(avatar_component_clause,[],[f1682])). 0.18/0.52 fof(f1684,plain,( 0.18/0.52 spl4_300 | ~spl4_298), 0.18/0.52 inference(avatar_split_clause,[],[f1677,f1673,f1682])). 0.18/0.52 fof(f1673,plain,( 0.18/0.52 spl4_298 <=> gt(succ(succ(n5)),n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_298])])). 0.18/0.52 fof(f1677,plain,( 0.18/0.52 leq(n1,succ(succ(n5))) | ~spl4_298), 0.18/0.52 inference(resolution,[],[f1674,f165])). 0.18/0.52 fof(f1674,plain,( 0.18/0.52 gt(succ(succ(n5)),n1) | ~spl4_298), 0.18/0.52 inference(avatar_component_clause,[],[f1673])). 0.18/0.52 fof(f1675,plain,( 0.18/0.52 spl4_298 | ~spl4_88 | ~spl4_296), 0.18/0.52 inference(avatar_split_clause,[],[f1668,f1665,f527,f1673])). 0.18/0.52 fof(f1665,plain,( 0.18/0.52 spl4_296 <=> leq(n2,succ(succ(n5)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_296])])). 0.18/0.52 fof(f1668,plain,( 0.18/0.52 gt(succ(succ(n5)),n1) | (~spl4_88 | ~spl4_296)), 0.18/0.52 inference(resolution,[],[f1666,f1106])). 0.18/0.52 fof(f1106,plain,( 0.18/0.52 ( ! [X0] : (~leq(n2,X0) | gt(X0,n1)) ) | ~spl4_88), 0.18/0.52 inference(superposition,[],[f194,f528])). 0.18/0.52 fof(f1666,plain,( 0.18/0.52 leq(n2,succ(succ(n5))) | ~spl4_296), 0.18/0.52 inference(avatar_component_clause,[],[f1665])). 0.18/0.52 fof(f1667,plain,( 0.18/0.52 spl4_296 | ~spl4_294), 0.18/0.52 inference(avatar_split_clause,[],[f1660,f1656,f1665])). 0.18/0.52 fof(f1656,plain,( 0.18/0.52 spl4_294 <=> gt(succ(succ(n5)),n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_294])])). 0.18/0.52 fof(f1660,plain,( 0.18/0.52 leq(n2,succ(succ(n5))) | ~spl4_294), 0.18/0.52 inference(resolution,[],[f1657,f165])). 0.18/0.52 fof(f1657,plain,( 0.18/0.52 gt(succ(succ(n5)),n2) | ~spl4_294), 0.18/0.52 inference(avatar_component_clause,[],[f1656])). 0.18/0.52 fof(f1658,plain,( 0.18/0.52 spl4_294 | ~spl4_158 | ~spl4_292), 0.18/0.52 inference(avatar_split_clause,[],[f1651,f1648,f822,f1656])). 0.18/0.52 fof(f1648,plain,( 0.18/0.52 spl4_292 <=> leq(n3,succ(succ(n5)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_292])])). 0.18/0.52 fof(f1651,plain,( 0.18/0.52 gt(succ(succ(n5)),n2) | (~spl4_158 | ~spl4_292)), 0.18/0.52 inference(resolution,[],[f1649,f1109])). 0.18/0.52 fof(f1109,plain,( 0.18/0.52 ( ! [X4] : (~leq(n3,X4) | gt(X4,n2)) ) | ~spl4_158), 0.18/0.52 inference(superposition,[],[f194,f823])). 0.18/0.52 fof(f1649,plain,( 0.18/0.52 leq(n3,succ(succ(n5))) | ~spl4_292), 0.18/0.52 inference(avatar_component_clause,[],[f1648])). 0.18/0.52 fof(f1650,plain,( 0.18/0.52 spl4_292 | ~spl4_290), 0.18/0.52 inference(avatar_split_clause,[],[f1643,f1639,f1648])). 0.18/0.52 fof(f1639,plain,( 0.18/0.52 spl4_290 <=> gt(succ(succ(n5)),n3)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_290])])). 0.18/0.52 fof(f1643,plain,( 0.18/0.52 leq(n3,succ(succ(n5))) | ~spl4_290), 0.18/0.52 inference(resolution,[],[f1640,f165])). 0.18/0.52 fof(f1640,plain,( 0.18/0.52 gt(succ(succ(n5)),n3) | ~spl4_290), 0.18/0.52 inference(avatar_component_clause,[],[f1639])). 0.18/0.52 fof(f1641,plain,( 0.18/0.52 spl4_290 | ~spl4_288), 0.18/0.52 inference(avatar_split_clause,[],[f1634,f1622,f1639])). 0.18/0.52 fof(f1622,plain,( 0.18/0.52 spl4_288 <=> leq(succ(n3),succ(succ(n5)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_288])])). 0.18/0.52 fof(f1634,plain,( 0.18/0.52 gt(succ(succ(n5)),n3) | ~spl4_288), 0.18/0.52 inference(resolution,[],[f1623,f194])). 0.18/0.52 fof(f1623,plain,( 0.18/0.52 leq(succ(n3),succ(succ(n5))) | ~spl4_288), 0.18/0.52 inference(avatar_component_clause,[],[f1622])). 0.18/0.52 fof(f1633,plain,( 0.18/0.52 spl4_288 | ~spl4_286), 0.18/0.52 inference(avatar_split_clause,[],[f1632,f1570,f1622])). 0.18/0.52 fof(f1570,plain,( 0.18/0.52 spl4_286 <=> gt(succ(succ(n5)),succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_286])])). 0.18/0.52 fof(f1632,plain,( 0.18/0.52 leq(succ(n3),succ(succ(n5))) | ~spl4_286), 0.18/0.52 inference(resolution,[],[f1571,f165])). 0.18/0.52 fof(f1571,plain,( 0.18/0.52 gt(succ(succ(n5)),succ(n3)) | ~spl4_286), 0.18/0.52 inference(avatar_component_clause,[],[f1570])). 0.18/0.52 fof(f1624,plain,( 0.18/0.52 spl4_288 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1603,f1291,f1622])). 0.18/0.52 fof(f1603,plain,( 0.18/0.52 leq(succ(n3),succ(succ(n5))) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f1558,f1292])). 0.18/0.52 fof(f1558,plain,( 0.18/0.52 ( ! [X1] : (leq(X1,succ(succ(succ(X1))))) )), 0.18/0.52 inference(resolution,[],[f1161,f165])). 0.18/0.52 fof(f1161,plain,( 0.18/0.52 ( ! [X0] : (gt(succ(succ(succ(X0))),X0)) )), 0.18/0.52 inference(resolution,[],[f1112,f194])). 0.18/0.52 fof(f1112,plain,( 0.18/0.52 ( ! [X1] : (leq(X1,succ(succ(X1)))) )), 0.18/0.52 inference(resolution,[],[f1104,f165])). 0.18/0.52 fof(f1104,plain,( 0.18/0.52 ( ! [X1] : (gt(succ(succ(X1)),X1)) )), 0.18/0.52 inference(resolution,[],[f194,f531])). 0.18/0.52 fof(f1572,plain,( 0.18/0.52 spl4_286 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1559,f1291,f1570])). 0.18/0.52 fof(f1559,plain,( 0.18/0.52 gt(succ(succ(n5)),succ(n3)) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f1161,f1292])). 0.18/0.52 fof(f1535,plain,( 0.18/0.52 spl4_284 | ~spl4_272), 0.18/0.52 inference(avatar_split_clause,[],[f1528,f1481,f1533])). 0.18/0.52 fof(f1533,plain,( 0.18/0.52 spl4_284 <=> leq(tptp_minus_1,succ(n5))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_284])])). 0.18/0.52 fof(f1481,plain,( 0.18/0.52 spl4_272 <=> gt(succ(n5),tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_272])])). 0.18/0.52 fof(f1528,plain,( 0.18/0.52 leq(tptp_minus_1,succ(n5)) | ~spl4_272), 0.18/0.52 inference(resolution,[],[f1482,f165])). 0.18/0.52 fof(f1482,plain,( 0.18/0.52 gt(succ(n5),tptp_minus_1) | ~spl4_272), 0.18/0.52 inference(avatar_component_clause,[],[f1481])). 0.18/0.52 fof(f1526,plain,( 0.18/0.52 spl4_282 | ~spl4_270), 0.18/0.52 inference(avatar_split_clause,[],[f1519,f1474,f1524])). 0.18/0.52 fof(f1524,plain,( 0.18/0.52 spl4_282 <=> leq(tptp_minus_1,succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_282])])). 0.18/0.52 fof(f1474,plain,( 0.18/0.52 spl4_270 <=> gt(succ(n3),tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_270])])). 0.18/0.52 fof(f1519,plain,( 0.18/0.52 leq(tptp_minus_1,succ(n3)) | ~spl4_270), 0.18/0.52 inference(resolution,[],[f1475,f165])). 0.18/0.52 fof(f1475,plain,( 0.18/0.52 gt(succ(n3),tptp_minus_1) | ~spl4_270), 0.18/0.52 inference(avatar_component_clause,[],[f1474])). 0.18/0.52 fof(f1517,plain,( 0.18/0.52 spl4_280 | ~spl4_276), 0.18/0.52 inference(avatar_split_clause,[],[f1510,f1495,f1515])). 0.18/0.52 fof(f1515,plain,( 0.18/0.52 spl4_280 <=> leq(tptp_minus_1,sK0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_280])])). 0.18/0.52 fof(f1495,plain,( 0.18/0.52 spl4_276 <=> gt(sK0,tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_276])])). 0.18/0.52 fof(f1510,plain,( 0.18/0.52 leq(tptp_minus_1,sK0) | ~spl4_276), 0.18/0.52 inference(resolution,[],[f1496,f165])). 0.18/0.52 fof(f1496,plain,( 0.18/0.52 gt(sK0,tptp_minus_1) | ~spl4_276), 0.18/0.52 inference(avatar_component_clause,[],[f1495])). 0.18/0.52 fof(f1509,plain,( 0.18/0.52 spl4_278 | ~spl4_274), 0.18/0.52 inference(avatar_split_clause,[],[f1502,f1488,f1507])). 0.18/0.52 fof(f1507,plain,( 0.18/0.52 spl4_278 <=> leq(tptp_minus_1,pv10)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_278])])). 0.18/0.52 fof(f1488,plain,( 0.18/0.52 spl4_274 <=> gt(pv10,tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_274])])). 0.18/0.52 fof(f1502,plain,( 0.18/0.52 leq(tptp_minus_1,pv10) | ~spl4_274), 0.18/0.52 inference(resolution,[],[f1489,f165])). 0.18/0.52 fof(f1489,plain,( 0.18/0.52 gt(pv10,tptp_minus_1) | ~spl4_274), 0.18/0.52 inference(avatar_component_clause,[],[f1488])). 0.18/0.52 fof(f1497,plain,( 0.18/0.52 spl4_276 | ~spl4_6 | ~spl4_46), 0.18/0.52 inference(avatar_split_clause,[],[f1465,f376,f232,f1495])). 0.18/0.52 fof(f1465,plain,( 0.18/0.52 gt(sK0,tptp_minus_1) | (~spl4_6 | ~spl4_46)), 0.18/0.52 inference(resolution,[],[f1110,f233])). 0.18/0.52 fof(f1490,plain,( 0.18/0.52 spl4_274 | ~spl4_2 | ~spl4_46), 0.18/0.52 inference(avatar_split_clause,[],[f1464,f376,f219,f1488])). 0.18/0.52 fof(f1464,plain,( 0.18/0.52 gt(pv10,tptp_minus_1) | (~spl4_2 | ~spl4_46)), 0.18/0.52 inference(resolution,[],[f1110,f220])). 0.18/0.52 fof(f1483,plain,( 0.18/0.52 spl4_272 | ~spl4_46 | ~spl4_264), 0.18/0.52 inference(avatar_split_clause,[],[f1457,f1424,f376,f1481])). 0.18/0.52 fof(f1424,plain,( 0.18/0.52 spl4_264 <=> leq(n0,succ(n5))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_264])])). 0.18/0.52 fof(f1457,plain,( 0.18/0.52 gt(succ(n5),tptp_minus_1) | (~spl4_46 | ~spl4_264)), 0.18/0.52 inference(resolution,[],[f1110,f1425])). 0.18/0.52 fof(f1425,plain,( 0.18/0.52 leq(n0,succ(n5)) | ~spl4_264), 0.18/0.52 inference(avatar_component_clause,[],[f1424])). 0.18/0.52 fof(f1476,plain,( 0.18/0.52 spl4_270 | ~spl4_46 | ~spl4_222), 0.18/0.52 inference(avatar_split_clause,[],[f1456,f1224,f376,f1474])). 0.18/0.52 fof(f1224,plain,( 0.18/0.52 spl4_222 <=> leq(n0,succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_222])])). 0.18/0.52 fof(f1456,plain,( 0.18/0.52 gt(succ(n3),tptp_minus_1) | (~spl4_46 | ~spl4_222)), 0.18/0.52 inference(resolution,[],[f1110,f1225])). 0.18/0.52 fof(f1225,plain,( 0.18/0.52 leq(n0,succ(n3)) | ~spl4_222), 0.18/0.52 inference(avatar_component_clause,[],[f1224])). 0.18/0.52 fof(f1451,plain,( 0.18/0.52 ~spl4_269 | spl4_5 | ~spl4_240), 0.18/0.52 inference(avatar_split_clause,[],[f1429,f1322,f226,f1449])). 0.18/0.52 fof(f1449,plain,( 0.18/0.52 spl4_269 <=> n1 != sum(n0,succ(n3),a_select3(q,sK2,sK3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_269])])). 0.18/0.52 fof(f226,plain,( 0.18/0.52 spl4_5 <=> n1 != sum(n0,minus(n5,n1),a_select3(q,sK2,sK3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_5])])). 0.18/0.52 fof(f1322,plain,( 0.18/0.52 spl4_240 <=> succ(n3) = minus(n5,n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_240])])). 0.18/0.52 fof(f1429,plain,( 0.18/0.52 n1 != sum(n0,succ(n3),a_select3(q,sK2,sK3)) | (~spl4_5 | ~spl4_240)), 0.18/0.52 inference(backward_demodulation,[],[f1323,f227])). 0.18/0.52 fof(f227,plain,( 0.18/0.52 n1 != sum(n0,minus(n5,n1),a_select3(q,sK2,sK3)) | ~spl4_5), 0.18/0.52 inference(avatar_component_clause,[],[f226])). 0.18/0.52 fof(f1323,plain,( 0.18/0.52 succ(n3) = minus(n5,n1) | ~spl4_240), 0.18/0.52 inference(avatar_component_clause,[],[f1322])). 0.18/0.52 fof(f1444,plain,( 0.18/0.52 ~spl4_267 | spl4_15 | ~spl4_240), 0.18/0.52 inference(avatar_split_clause,[],[f1428,f1322,f262,f1442])). 0.18/0.52 fof(f1442,plain,( 0.18/0.52 spl4_267 <=> a_select3(q,pv10,sK0) != divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,succ(n3),sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10))))))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_267])])). 0.18/0.52 fof(f262,plain,( 0.18/0.52 spl4_15 <=> a_select3(q,pv10,sK0) != divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10))))))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_15])])). 0.18/0.52 fof(f1428,plain,( 0.18/0.52 a_select3(q,pv10,sK0) != divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,succ(n3),sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10)))))) | (~spl4_15 | ~spl4_240)), 0.18/0.52 inference(backward_demodulation,[],[f1323,f263])). 0.18/0.52 fof(f263,plain,( 0.18/0.52 a_select3(q,pv10,sK0) != divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10)))))) | ~spl4_15), 0.18/0.52 inference(avatar_component_clause,[],[f262])). 0.18/0.52 fof(f1426,plain,( 0.18/0.52 spl4_264 | ~spl4_262), 0.18/0.52 inference(avatar_split_clause,[],[f1419,f1415,f1424])). 0.18/0.52 fof(f1415,plain,( 0.18/0.52 spl4_262 <=> gt(succ(n5),n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_262])])). 0.18/0.52 fof(f1419,plain,( 0.18/0.52 leq(n0,succ(n5)) | ~spl4_262), 0.18/0.52 inference(resolution,[],[f1416,f165])). 0.18/0.52 fof(f1416,plain,( 0.18/0.52 gt(succ(n5),n0) | ~spl4_262), 0.18/0.52 inference(avatar_component_clause,[],[f1415])). 0.18/0.52 fof(f1417,plain,( 0.18/0.52 spl4_262 | ~spl4_28 | ~spl4_260), 0.18/0.52 inference(avatar_split_clause,[],[f1410,f1407,f313,f1415])). 0.18/0.52 fof(f1407,plain,( 0.18/0.52 spl4_260 <=> leq(n1,succ(n5))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_260])])). 0.18/0.52 fof(f1410,plain,( 0.18/0.52 gt(succ(n5),n0) | (~spl4_28 | ~spl4_260)), 0.18/0.52 inference(resolution,[],[f1408,f1108])). 0.18/0.52 fof(f1408,plain,( 0.18/0.52 leq(n1,succ(n5)) | ~spl4_260), 0.18/0.52 inference(avatar_component_clause,[],[f1407])). 0.18/0.52 fof(f1409,plain,( 0.18/0.52 spl4_260 | ~spl4_258), 0.18/0.52 inference(avatar_split_clause,[],[f1402,f1398,f1407])). 0.18/0.52 fof(f1398,plain,( 0.18/0.52 spl4_258 <=> gt(succ(n5),n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_258])])). 0.18/0.52 fof(f1402,plain,( 0.18/0.52 leq(n1,succ(n5)) | ~spl4_258), 0.18/0.52 inference(resolution,[],[f1399,f165])). 0.18/0.52 fof(f1399,plain,( 0.18/0.52 gt(succ(n5),n1) | ~spl4_258), 0.18/0.52 inference(avatar_component_clause,[],[f1398])). 0.18/0.52 fof(f1400,plain,( 0.18/0.52 spl4_258 | ~spl4_88 | ~spl4_256), 0.18/0.52 inference(avatar_split_clause,[],[f1393,f1390,f527,f1398])). 0.18/0.52 fof(f1390,plain,( 0.18/0.52 spl4_256 <=> leq(n2,succ(n5))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_256])])). 0.18/0.52 fof(f1393,plain,( 0.18/0.52 gt(succ(n5),n1) | (~spl4_88 | ~spl4_256)), 0.18/0.52 inference(resolution,[],[f1391,f1106])). 0.18/0.52 fof(f1391,plain,( 0.18/0.52 leq(n2,succ(n5)) | ~spl4_256), 0.18/0.52 inference(avatar_component_clause,[],[f1390])). 0.18/0.52 fof(f1392,plain,( 0.18/0.52 spl4_256 | ~spl4_254), 0.18/0.52 inference(avatar_split_clause,[],[f1385,f1381,f1390])). 0.18/0.52 fof(f1381,plain,( 0.18/0.52 spl4_254 <=> gt(succ(n5),n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_254])])). 0.18/0.52 fof(f1385,plain,( 0.18/0.52 leq(n2,succ(n5)) | ~spl4_254), 0.18/0.52 inference(resolution,[],[f1382,f165])). 0.18/0.52 fof(f1382,plain,( 0.18/0.52 gt(succ(n5),n2) | ~spl4_254), 0.18/0.52 inference(avatar_component_clause,[],[f1381])). 0.18/0.52 fof(f1383,plain,( 0.18/0.52 spl4_254 | ~spl4_158 | ~spl4_252), 0.18/0.52 inference(avatar_split_clause,[],[f1376,f1373,f822,f1381])). 0.18/0.52 fof(f1373,plain,( 0.18/0.52 spl4_252 <=> leq(n3,succ(n5))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_252])])). 0.18/0.52 fof(f1376,plain,( 0.18/0.52 gt(succ(n5),n2) | (~spl4_158 | ~spl4_252)), 0.18/0.52 inference(resolution,[],[f1374,f1109])). 0.18/0.52 fof(f1374,plain,( 0.18/0.52 leq(n3,succ(n5)) | ~spl4_252), 0.18/0.52 inference(avatar_component_clause,[],[f1373])). 0.18/0.52 fof(f1375,plain,( 0.18/0.52 spl4_252 | ~spl4_250), 0.18/0.52 inference(avatar_split_clause,[],[f1368,f1364,f1373])). 0.18/0.52 fof(f1364,plain,( 0.18/0.52 spl4_250 <=> gt(succ(n5),n3)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_250])])). 0.18/0.52 fof(f1368,plain,( 0.18/0.52 leq(n3,succ(n5)) | ~spl4_250), 0.18/0.52 inference(resolution,[],[f1365,f165])). 0.18/0.52 fof(f1365,plain,( 0.18/0.52 gt(succ(n5),n3) | ~spl4_250), 0.18/0.52 inference(avatar_component_clause,[],[f1364])). 0.18/0.52 fof(f1366,plain,( 0.18/0.52 spl4_250 | ~spl4_248), 0.18/0.52 inference(avatar_split_clause,[],[f1359,f1350,f1364])). 0.18/0.52 fof(f1350,plain,( 0.18/0.52 spl4_248 <=> leq(succ(n3),succ(n5))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_248])])). 0.18/0.52 fof(f1359,plain,( 0.18/0.52 gt(succ(n5),n3) | ~spl4_248), 0.18/0.52 inference(resolution,[],[f1351,f194])). 0.18/0.52 fof(f1351,plain,( 0.18/0.52 leq(succ(n3),succ(n5)) | ~spl4_248), 0.18/0.52 inference(avatar_component_clause,[],[f1350])). 0.18/0.52 fof(f1358,plain,( 0.18/0.52 spl4_248 | ~spl4_246), 0.18/0.52 inference(avatar_split_clause,[],[f1357,f1343,f1350])). 0.18/0.52 fof(f1343,plain,( 0.18/0.52 spl4_246 <=> gt(succ(n5),succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_246])])). 0.18/0.52 fof(f1357,plain,( 0.18/0.52 leq(succ(n3),succ(n5)) | ~spl4_246), 0.18/0.52 inference(resolution,[],[f1344,f165])). 0.18/0.52 fof(f1344,plain,( 0.18/0.52 gt(succ(n5),succ(n3)) | ~spl4_246), 0.18/0.52 inference(avatar_component_clause,[],[f1343])). 0.18/0.52 fof(f1354,plain,( 0.18/0.52 spl4_242 | ~spl4_238), 0.18/0.52 inference(avatar_split_clause,[],[f1353,f1315,f1329])). 0.18/0.52 fof(f1329,plain,( 0.18/0.52 spl4_242 <=> leq(succ(n3),n5)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_242])])). 0.18/0.52 fof(f1315,plain,( 0.18/0.52 spl4_238 <=> gt(n5,succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_238])])). 0.18/0.52 fof(f1353,plain,( 0.18/0.52 leq(succ(n3),n5) | ~spl4_238), 0.18/0.52 inference(resolution,[],[f1316,f165])). 0.18/0.52 fof(f1316,plain,( 0.18/0.52 gt(n5,succ(n3)) | ~spl4_238), 0.18/0.52 inference(avatar_component_clause,[],[f1315])). 0.18/0.52 fof(f1352,plain,( 0.18/0.52 spl4_248 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1310,f1291,f1350])). 0.18/0.52 fof(f1310,plain,( 0.18/0.52 leq(succ(n3),succ(n5)) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f1112,f1292])). 0.18/0.52 fof(f1345,plain,( 0.18/0.52 spl4_246 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1309,f1291,f1343])). 0.18/0.52 fof(f1309,plain,( 0.18/0.52 gt(succ(n5),succ(n3)) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f1104,f1292])). 0.18/0.52 fof(f1338,plain,( 0.18/0.52 ~spl4_245 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1308,f1291,f1336])). 0.18/0.52 fof(f1308,plain,( 0.18/0.52 ~leq(n5,succ(n3)) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f865,f1292])). 0.18/0.52 fof(f1331,plain,( 0.18/0.52 spl4_242 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1307,f1291,f1329])). 0.18/0.52 fof(f1307,plain,( 0.18/0.52 leq(succ(n3),n5) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f531,f1292])). 0.18/0.52 fof(f1324,plain,( 0.18/0.52 spl4_240 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1306,f1291,f1322])). 0.18/0.52 fof(f1306,plain,( 0.18/0.52 succ(n3) = minus(n5,n1) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f206,f1292])). 0.18/0.52 fof(f206,plain,( 0.18/0.52 ( ! [X0] : (minus(succ(X0),n1) = X0) )), 0.18/0.52 inference(definition_unfolding,[],[f202,f152])). 0.18/0.52 fof(f202,plain,( 0.18/0.52 ( ! [X0] : (pred(succ(X0)) = X0) )), 0.18/0.52 inference(cnf_transformation,[],[f10])). 0.18/0.52 fof(f10,axiom,( 0.18/0.52 ! [X0] : pred(succ(X0)) = X0), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ)). 0.18/0.52 fof(f1317,plain,( 0.18/0.52 spl4_238 | ~spl4_236), 0.18/0.52 inference(avatar_split_clause,[],[f1305,f1291,f1315])). 0.18/0.52 fof(f1305,plain,( 0.18/0.52 gt(n5,succ(n3)) | ~spl4_236), 0.18/0.52 inference(superposition,[],[f196,f1292])). 0.18/0.52 fof(f1293,plain,( 0.18/0.52 spl4_236 | ~spl4_16 | ~spl4_28 | ~spl4_88 | ~spl4_158), 0.18/0.52 inference(avatar_split_clause,[],[f1286,f822,f527,f313,f271,f1291])). 0.18/0.52 fof(f271,plain,( 0.18/0.52 spl4_16 <=> succ(succ(succ(succ(succ(n0))))) = n5), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_16])])). 0.18/0.52 fof(f1286,plain,( 0.18/0.52 succ(succ(n3)) = n5 | (~spl4_16 | ~spl4_28 | ~spl4_88 | ~spl4_158)), 0.18/0.52 inference(forward_demodulation,[],[f1285,f823])). 0.18/0.52 fof(f1285,plain,( 0.18/0.52 succ(succ(succ(n2))) = n5 | (~spl4_16 | ~spl4_28 | ~spl4_88)), 0.18/0.52 inference(forward_demodulation,[],[f1284,f528])). 0.18/0.52 fof(f1284,plain,( 0.18/0.52 succ(succ(succ(succ(n1)))) = n5 | (~spl4_16 | ~spl4_28)), 0.18/0.52 inference(forward_demodulation,[],[f272,f314])). 0.18/0.52 fof(f272,plain,( 0.18/0.52 succ(succ(succ(succ(succ(n0))))) = n5 | ~spl4_16), 0.18/0.52 inference(avatar_component_clause,[],[f271])). 0.18/0.52 fof(f1283,plain,( 0.18/0.52 spl4_234 | ~spl4_232), 0.18/0.52 inference(avatar_split_clause,[],[f1276,f1272,f1281])). 0.18/0.52 fof(f1281,plain,( 0.18/0.52 spl4_234 <=> leq(n0,succ(succ(n3)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_234])])). 0.18/0.52 fof(f1272,plain,( 0.18/0.52 spl4_232 <=> gt(succ(succ(n3)),n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_232])])). 0.18/0.52 fof(f1276,plain,( 0.18/0.52 leq(n0,succ(succ(n3))) | ~spl4_232), 0.18/0.52 inference(resolution,[],[f1273,f165])). 0.18/0.52 fof(f1273,plain,( 0.18/0.52 gt(succ(succ(n3)),n0) | ~spl4_232), 0.18/0.52 inference(avatar_component_clause,[],[f1272])). 0.18/0.52 fof(f1274,plain,( 0.18/0.52 spl4_232 | ~spl4_28 | ~spl4_230), 0.18/0.52 inference(avatar_split_clause,[],[f1267,f1264,f313,f1272])). 0.18/0.52 fof(f1264,plain,( 0.18/0.52 spl4_230 <=> leq(n1,succ(succ(n3)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_230])])). 0.18/0.52 fof(f1267,plain,( 0.18/0.52 gt(succ(succ(n3)),n0) | (~spl4_28 | ~spl4_230)), 0.18/0.52 inference(resolution,[],[f1265,f1108])). 0.18/0.52 fof(f1265,plain,( 0.18/0.52 leq(n1,succ(succ(n3))) | ~spl4_230), 0.18/0.52 inference(avatar_component_clause,[],[f1264])). 0.18/0.52 fof(f1266,plain,( 0.18/0.52 spl4_230 | ~spl4_228), 0.18/0.52 inference(avatar_split_clause,[],[f1259,f1255,f1264])). 0.18/0.52 fof(f1255,plain,( 0.18/0.52 spl4_228 <=> gt(succ(succ(n3)),n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_228])])). 0.18/0.52 fof(f1259,plain,( 0.18/0.52 leq(n1,succ(succ(n3))) | ~spl4_228), 0.18/0.52 inference(resolution,[],[f1256,f165])). 0.18/0.52 fof(f1256,plain,( 0.18/0.52 gt(succ(succ(n3)),n1) | ~spl4_228), 0.18/0.52 inference(avatar_component_clause,[],[f1255])). 0.18/0.52 fof(f1257,plain,( 0.18/0.52 spl4_228 | ~spl4_88 | ~spl4_226), 0.18/0.52 inference(avatar_split_clause,[],[f1250,f1247,f527,f1255])). 0.18/0.52 fof(f1247,plain,( 0.18/0.52 spl4_226 <=> leq(n2,succ(succ(n3)))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_226])])). 0.18/0.52 fof(f1250,plain,( 0.18/0.52 gt(succ(succ(n3)),n1) | (~spl4_88 | ~spl4_226)), 0.18/0.52 inference(resolution,[],[f1248,f1106])). 0.18/0.52 fof(f1248,plain,( 0.18/0.52 leq(n2,succ(succ(n3))) | ~spl4_226), 0.18/0.52 inference(avatar_component_clause,[],[f1247])). 0.18/0.52 fof(f1249,plain,( 0.18/0.52 spl4_226 | ~spl4_224), 0.18/0.52 inference(avatar_split_clause,[],[f1242,f1238,f1247])). 0.18/0.52 fof(f1238,plain,( 0.18/0.52 spl4_224 <=> gt(succ(succ(n3)),n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_224])])). 0.18/0.52 fof(f1242,plain,( 0.18/0.52 leq(n2,succ(succ(n3))) | ~spl4_224), 0.18/0.52 inference(resolution,[],[f1239,f165])). 0.18/0.52 fof(f1239,plain,( 0.18/0.52 gt(succ(succ(n3)),n2) | ~spl4_224), 0.18/0.52 inference(avatar_component_clause,[],[f1238])). 0.18/0.52 fof(f1240,plain,( 0.18/0.52 spl4_224 | ~spl4_158), 0.18/0.52 inference(avatar_split_clause,[],[f1232,f822,f1238])). 0.18/0.52 fof(f1232,plain,( 0.18/0.52 gt(succ(succ(n3)),n2) | ~spl4_158), 0.18/0.52 inference(resolution,[],[f1109,f1112])). 0.18/0.52 fof(f1226,plain,( 0.18/0.52 spl4_222 | ~spl4_220), 0.18/0.52 inference(avatar_split_clause,[],[f1219,f1212,f1224])). 0.18/0.52 fof(f1212,plain,( 0.18/0.52 spl4_220 <=> gt(succ(n3),n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_220])])). 0.18/0.52 fof(f1219,plain,( 0.18/0.52 leq(n0,succ(n3)) | ~spl4_220), 0.18/0.52 inference(resolution,[],[f1213,f165])). 0.18/0.52 fof(f1213,plain,( 0.18/0.52 gt(succ(n3),n0) | ~spl4_220), 0.18/0.52 inference(avatar_component_clause,[],[f1212])). 0.18/0.52 fof(f1214,plain,( 0.18/0.52 spl4_220 | ~spl4_28 | ~spl4_218), 0.18/0.52 inference(avatar_split_clause,[],[f1198,f1195,f313,f1212])). 0.18/0.52 fof(f1195,plain,( 0.18/0.52 spl4_218 <=> leq(n1,succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_218])])). 0.18/0.52 fof(f1198,plain,( 0.18/0.52 gt(succ(n3),n0) | (~spl4_28 | ~spl4_218)), 0.18/0.52 inference(resolution,[],[f1108,f1196])). 0.18/0.52 fof(f1196,plain,( 0.18/0.52 leq(n1,succ(n3)) | ~spl4_218), 0.18/0.52 inference(avatar_component_clause,[],[f1195])). 0.18/0.52 fof(f1197,plain,( 0.18/0.52 spl4_218 | ~spl4_216), 0.18/0.52 inference(avatar_split_clause,[],[f1190,f1183,f1195])). 0.18/0.52 fof(f1183,plain,( 0.18/0.52 spl4_216 <=> gt(succ(n3),n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_216])])). 0.18/0.52 fof(f1190,plain,( 0.18/0.52 leq(n1,succ(n3)) | ~spl4_216), 0.18/0.52 inference(resolution,[],[f1184,f165])). 0.18/0.52 fof(f1184,plain,( 0.18/0.52 gt(succ(n3),n1) | ~spl4_216), 0.18/0.52 inference(avatar_component_clause,[],[f1183])). 0.18/0.52 fof(f1188,plain,( 0.18/0.52 spl4_216 | ~spl4_88 | ~spl4_158), 0.18/0.52 inference(avatar_split_clause,[],[f1187,f822,f527,f1183])). 0.18/0.52 fof(f1187,plain,( 0.18/0.52 gt(succ(n3),n1) | (~spl4_88 | ~spl4_158)), 0.18/0.52 inference(forward_demodulation,[],[f1177,f823])). 0.18/0.52 fof(f1177,plain,( 0.18/0.52 gt(succ(succ(n2)),n1) | ~spl4_88), 0.18/0.52 inference(resolution,[],[f1106,f1112])). 0.18/0.52 fof(f1185,plain,( 0.18/0.52 spl4_216 | ~spl4_88 | ~spl4_210), 0.18/0.52 inference(avatar_split_clause,[],[f1170,f1134,f527,f1183])). 0.18/0.52 fof(f1134,plain,( 0.18/0.52 spl4_210 <=> leq(n2,succ(n3))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_210])])). 0.18/0.52 fof(f1170,plain,( 0.18/0.52 gt(succ(n3),n1) | (~spl4_88 | ~spl4_210)), 0.18/0.52 inference(resolution,[],[f1106,f1135])). 0.18/0.52 fof(f1135,plain,( 0.18/0.52 leq(n2,succ(n3)) | ~spl4_210), 0.18/0.52 inference(avatar_component_clause,[],[f1134])). 0.18/0.52 fof(f1160,plain,( 0.18/0.52 spl4_214 | ~spl4_212), 0.18/0.52 inference(avatar_split_clause,[],[f1153,f1150,f1158])). 0.18/0.52 fof(f1158,plain,( 0.18/0.52 spl4_214 <=> leq(pv10,n135300)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_214])])). 0.18/0.52 fof(f1150,plain,( 0.18/0.52 spl4_212 <=> gt(n135300,pv10)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_212])])). 0.18/0.52 fof(f1153,plain,( 0.18/0.52 leq(pv10,n135300) | ~spl4_212), 0.18/0.52 inference(resolution,[],[f1151,f165])). 0.18/0.52 fof(f1151,plain,( 0.18/0.52 gt(n135300,pv10) | ~spl4_212), 0.18/0.52 inference(avatar_component_clause,[],[f1150])). 0.18/0.52 fof(f1152,plain,( 0.18/0.52 spl4_212 | ~spl4_0), 0.18/0.52 inference(avatar_split_clause,[],[f1140,f212,f1150])). 0.18/0.52 fof(f212,plain,( 0.18/0.52 spl4_0 <=> leq(pv10,minus(n135300,n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_0])])). 0.18/0.52 fof(f1140,plain,( 0.18/0.52 gt(n135300,pv10) | ~spl4_0), 0.18/0.52 inference(resolution,[],[f205,f213])). 0.18/0.52 fof(f213,plain,( 0.18/0.52 leq(pv10,minus(n135300,n1)) | ~spl4_0), 0.18/0.52 inference(avatar_component_clause,[],[f212])). 0.18/0.52 fof(f205,plain,( 0.18/0.52 ( ! [X0,X1] : (~leq(X0,minus(X1,n1)) | gt(X1,X0)) )), 0.18/0.52 inference(definition_unfolding,[],[f200,f152])). 0.18/0.52 fof(f200,plain,( 0.18/0.52 ( ! [X0,X1] : (~leq(X0,pred(X1)) | gt(X1,X0)) )), 0.18/0.52 inference(cnf_transformation,[],[f106])). 0.18/0.52 fof(f106,plain,( 0.18/0.52 ! [X0,X1] : (gt(X1,X0) <=> leq(X0,pred(X1)))), 0.18/0.52 inference(rectify,[],[f38])). 0.18/0.52 fof(f38,axiom,( 0.18/0.52 ! [X0,X6] : (gt(X6,X0) <=> leq(X0,pred(X6)))), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred)). 0.18/0.52 fof(f1136,plain,( 0.18/0.52 spl4_210 | ~spl4_208), 0.18/0.52 inference(avatar_split_clause,[],[f1129,f1124,f1134])). 0.18/0.52 fof(f1124,plain,( 0.18/0.52 spl4_208 <=> gt(succ(n3),n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_208])])). 0.18/0.52 fof(f1129,plain,( 0.18/0.52 leq(n2,succ(n3)) | ~spl4_208), 0.18/0.52 inference(resolution,[],[f1125,f165])). 0.18/0.52 fof(f1125,plain,( 0.18/0.52 gt(succ(n3),n2) | ~spl4_208), 0.18/0.52 inference(avatar_component_clause,[],[f1124])). 0.18/0.52 fof(f1126,plain,( 0.18/0.52 spl4_208 | ~spl4_158), 0.18/0.52 inference(avatar_split_clause,[],[f1116,f822,f1124])). 0.18/0.52 fof(f1116,plain,( 0.18/0.52 gt(succ(n3),n2) | ~spl4_158), 0.18/0.52 inference(superposition,[],[f1104,f823])). 0.18/0.52 fof(f1101,plain,( 0.18/0.52 spl4_206 | ~spl4_204), 0.18/0.52 inference(avatar_split_clause,[],[f1094,f1090,f1099])). 0.18/0.52 fof(f1099,plain,( 0.18/0.52 spl4_206 <=> leq(minus(tptp_minus_1,n1),n3)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_206])])). 0.18/0.52 fof(f1090,plain,( 0.18/0.52 spl4_204 <=> gt(n3,minus(tptp_minus_1,n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_204])])). 0.18/0.52 fof(f1094,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),n3) | ~spl4_204), 0.18/0.52 inference(resolution,[],[f1091,f165])). 0.18/0.52 fof(f1091,plain,( 0.18/0.52 gt(n3,minus(tptp_minus_1,n1)) | ~spl4_204), 0.18/0.52 inference(avatar_component_clause,[],[f1090])). 0.18/0.52 fof(f1092,plain,( 0.18/0.52 spl4_204 | ~spl4_158 | ~spl4_202), 0.18/0.52 inference(avatar_split_clause,[],[f1085,f1082,f822,f1090])). 0.18/0.52 fof(f1082,plain,( 0.18/0.52 spl4_202 <=> leq(minus(tptp_minus_1,n1),n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_202])])). 0.18/0.52 fof(f1085,plain,( 0.18/0.52 gt(n3,minus(tptp_minus_1,n1)) | (~spl4_158 | ~spl4_202)), 0.18/0.52 inference(resolution,[],[f1083,f870])). 0.18/0.52 fof(f870,plain,( 0.18/0.52 ( ! [X4] : (~leq(X4,n2) | gt(n3,X4)) ) | ~spl4_158), 0.18/0.52 inference(superposition,[],[f193,f823])). 0.18/0.52 fof(f1083,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),n2) | ~spl4_202), 0.18/0.52 inference(avatar_component_clause,[],[f1082])). 0.18/0.52 fof(f1084,plain,( 0.18/0.52 spl4_202 | ~spl4_200), 0.18/0.52 inference(avatar_split_clause,[],[f1077,f1073,f1082])). 0.18/0.52 fof(f1073,plain,( 0.18/0.52 spl4_200 <=> gt(n2,minus(tptp_minus_1,n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_200])])). 0.18/0.52 fof(f1077,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),n2) | ~spl4_200), 0.18/0.52 inference(resolution,[],[f1074,f165])). 0.18/0.52 fof(f1074,plain,( 0.18/0.52 gt(n2,minus(tptp_minus_1,n1)) | ~spl4_200), 0.18/0.52 inference(avatar_component_clause,[],[f1073])). 0.18/0.52 fof(f1075,plain,( 0.18/0.52 spl4_200 | ~spl4_88 | ~spl4_198), 0.18/0.52 inference(avatar_split_clause,[],[f1068,f1065,f527,f1073])). 0.18/0.52 fof(f1065,plain,( 0.18/0.52 spl4_198 <=> leq(minus(tptp_minus_1,n1),n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_198])])). 0.18/0.52 fof(f1068,plain,( 0.18/0.52 gt(n2,minus(tptp_minus_1,n1)) | (~spl4_88 | ~spl4_198)), 0.18/0.52 inference(resolution,[],[f1066,f867])). 0.18/0.52 fof(f867,plain,( 0.18/0.52 ( ! [X0] : (~leq(X0,n1) | gt(n2,X0)) ) | ~spl4_88), 0.18/0.52 inference(superposition,[],[f193,f528])). 0.18/0.52 fof(f1066,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),n1) | ~spl4_198), 0.18/0.52 inference(avatar_component_clause,[],[f1065])). 0.18/0.52 fof(f1067,plain,( 0.18/0.52 spl4_198 | ~spl4_196), 0.18/0.52 inference(avatar_split_clause,[],[f1060,f1056,f1065])). 0.18/0.52 fof(f1056,plain,( 0.18/0.52 spl4_196 <=> gt(n1,minus(tptp_minus_1,n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_196])])). 0.18/0.52 fof(f1060,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),n1) | ~spl4_196), 0.18/0.52 inference(resolution,[],[f1057,f165])). 0.18/0.52 fof(f1057,plain,( 0.18/0.52 gt(n1,minus(tptp_minus_1,n1)) | ~spl4_196), 0.18/0.52 inference(avatar_component_clause,[],[f1056])). 0.18/0.52 fof(f1058,plain,( 0.18/0.52 spl4_196 | ~spl4_28 | ~spl4_194), 0.18/0.52 inference(avatar_split_clause,[],[f1051,f1048,f313,f1056])). 0.18/0.52 fof(f1051,plain,( 0.18/0.52 gt(n1,minus(tptp_minus_1,n1)) | (~spl4_28 | ~spl4_194)), 0.18/0.52 inference(resolution,[],[f1049,f869])). 0.18/0.52 fof(f869,plain,( 0.18/0.52 ( ! [X3] : (~leq(X3,n0) | gt(n1,X3)) ) | ~spl4_28), 0.18/0.52 inference(superposition,[],[f193,f314])). 0.18/0.52 fof(f1050,plain,( 0.18/0.52 spl4_194 | ~spl4_170), 0.18/0.52 inference(avatar_split_clause,[],[f1043,f938,f1048])). 0.18/0.52 fof(f938,plain,( 0.18/0.52 spl4_170 <=> gt(n0,minus(tptp_minus_1,n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_170])])). 0.18/0.52 fof(f1043,plain,( 0.18/0.52 leq(minus(tptp_minus_1,n1),n0) | ~spl4_170), 0.18/0.52 inference(resolution,[],[f939,f165])). 0.18/0.52 fof(f939,plain,( 0.18/0.52 gt(n0,minus(tptp_minus_1,n1)) | ~spl4_170), 0.18/0.52 inference(avatar_component_clause,[],[f938])). 0.18/0.52 fof(f1041,plain,( 0.18/0.52 ~spl4_193 | spl4_11), 0.18/0.52 inference(avatar_split_clause,[],[f1014,f243,f1039])). 0.18/0.52 fof(f1039,plain,( 0.18/0.52 spl4_193 <=> ~gt(pv10,sK2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_193])])). 0.18/0.52 fof(f243,plain,( 0.18/0.52 spl4_11 <=> ~leq(sK2,minus(pv10,n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_11])])). 0.18/0.52 fof(f1014,plain,( 0.18/0.52 ~gt(pv10,sK2) | ~spl4_11), 0.18/0.52 inference(resolution,[],[f204,f244])). 0.18/0.52 fof(f244,plain,( 0.18/0.52 ~leq(sK2,minus(pv10,n1)) | ~spl4_11), 0.18/0.52 inference(avatar_component_clause,[],[f243])). 0.18/0.52 fof(f204,plain,( 0.18/0.52 ( ! [X0,X1] : (leq(X0,minus(X1,n1)) | ~gt(X1,X0)) )), 0.18/0.52 inference(definition_unfolding,[],[f201,f152])). 0.18/0.52 fof(f201,plain,( 0.18/0.52 ( ! [X0,X1] : (leq(X0,pred(X1)) | ~gt(X1,X0)) )), 0.18/0.52 inference(cnf_transformation,[],[f106])). 0.18/0.52 fof(f1034,plain,( 0.18/0.52 ~spl4_191 | spl4_157), 0.18/0.52 inference(avatar_split_clause,[],[f1013,f813,f1032])). 0.18/0.52 fof(f1032,plain,( 0.18/0.52 spl4_191 <=> ~gt(minus(pv10,n1),n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_191])])). 0.18/0.52 fof(f813,plain,( 0.18/0.52 spl4_157 <=> ~leq(n0,minus(minus(pv10,n1),n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_157])])). 0.18/0.52 fof(f1013,plain,( 0.18/0.52 ~gt(minus(pv10,n1),n0) | ~spl4_157), 0.18/0.52 inference(resolution,[],[f204,f814])). 0.18/0.52 fof(f814,plain,( 0.18/0.52 ~leq(n0,minus(minus(pv10,n1),n1)) | ~spl4_157), 0.18/0.52 inference(avatar_component_clause,[],[f813])). 0.18/0.52 fof(f1027,plain,( 0.18/0.52 ~spl4_189 | spl4_87), 0.18/0.52 inference(avatar_split_clause,[],[f1012,f514,f1025])). 0.18/0.52 fof(f1025,plain,( 0.18/0.52 spl4_189 <=> ~gt(pv10,n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_189])])). 0.18/0.52 fof(f514,plain,( 0.18/0.52 spl4_87 <=> ~leq(n0,minus(pv10,n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_87])])). 0.18/0.52 fof(f1012,plain,( 0.18/0.52 ~gt(pv10,n0) | ~spl4_87), 0.18/0.52 inference(resolution,[],[f204,f515])). 0.18/0.52 fof(f515,plain,( 0.18/0.52 ~leq(n0,minus(pv10,n1)) | ~spl4_87), 0.18/0.52 inference(avatar_component_clause,[],[f514])). 0.18/0.52 fof(f1007,plain,( 0.18/0.52 spl4_186 | ~spl4_184), 0.18/0.52 inference(avatar_split_clause,[],[f1000,f996,f1005])). 0.18/0.52 fof(f1005,plain,( 0.18/0.52 spl4_186 <=> leq(sK0,n3)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_186])])). 0.18/0.52 fof(f996,plain,( 0.18/0.52 spl4_184 <=> gt(n3,sK0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_184])])). 0.18/0.52 fof(f1000,plain,( 0.18/0.52 leq(sK0,n3) | ~spl4_184), 0.18/0.52 inference(resolution,[],[f997,f165])). 0.18/0.52 fof(f997,plain,( 0.18/0.52 gt(n3,sK0) | ~spl4_184), 0.18/0.52 inference(avatar_component_clause,[],[f996])). 0.18/0.52 fof(f998,plain,( 0.18/0.52 spl4_184 | ~spl4_158 | ~spl4_182), 0.18/0.52 inference(avatar_split_clause,[],[f991,f988,f822,f996])). 0.18/0.52 fof(f988,plain,( 0.18/0.52 spl4_182 <=> leq(sK0,n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_182])])). 0.18/0.52 fof(f991,plain,( 0.18/0.52 gt(n3,sK0) | (~spl4_158 | ~spl4_182)), 0.18/0.52 inference(resolution,[],[f989,f870])). 0.18/0.52 fof(f989,plain,( 0.18/0.52 leq(sK0,n2) | ~spl4_182), 0.18/0.52 inference(avatar_component_clause,[],[f988])). 0.18/0.52 fof(f990,plain,( 0.18/0.52 spl4_182 | ~spl4_180), 0.18/0.52 inference(avatar_split_clause,[],[f983,f979,f988])). 0.18/0.52 fof(f979,plain,( 0.18/0.52 spl4_180 <=> gt(n2,sK0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_180])])). 0.18/0.52 fof(f983,plain,( 0.18/0.52 leq(sK0,n2) | ~spl4_180), 0.18/0.52 inference(resolution,[],[f980,f165])). 0.18/0.52 fof(f980,plain,( 0.18/0.52 gt(n2,sK0) | ~spl4_180), 0.18/0.52 inference(avatar_component_clause,[],[f979])). 0.18/0.52 fof(f981,plain,( 0.18/0.52 spl4_180 | ~spl4_88 | ~spl4_178), 0.18/0.52 inference(avatar_split_clause,[],[f974,f971,f527,f979])). 0.18/0.52 fof(f971,plain,( 0.18/0.52 spl4_178 <=> leq(sK0,n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_178])])). 0.18/0.52 fof(f974,plain,( 0.18/0.52 gt(n2,sK0) | (~spl4_88 | ~spl4_178)), 0.18/0.52 inference(resolution,[],[f972,f867])). 0.18/0.52 fof(f972,plain,( 0.18/0.52 leq(sK0,n1) | ~spl4_178), 0.18/0.52 inference(avatar_component_clause,[],[f971])). 0.18/0.52 fof(f973,plain,( 0.18/0.52 spl4_178 | ~spl4_176), 0.18/0.52 inference(avatar_split_clause,[],[f966,f962,f971])). 0.18/0.52 fof(f962,plain,( 0.18/0.52 spl4_176 <=> gt(n1,sK0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_176])])). 0.18/0.52 fof(f966,plain,( 0.18/0.52 leq(sK0,n1) | ~spl4_176), 0.18/0.52 inference(resolution,[],[f963,f165])). 0.18/0.52 fof(f963,plain,( 0.18/0.52 gt(n1,sK0) | ~spl4_176), 0.18/0.52 inference(avatar_component_clause,[],[f962])). 0.18/0.52 fof(f964,plain,( 0.18/0.52 spl4_176 | ~spl4_28 | ~spl4_174), 0.18/0.52 inference(avatar_split_clause,[],[f957,f954,f313,f962])). 0.18/0.52 fof(f957,plain,( 0.18/0.52 gt(n1,sK0) | (~spl4_28 | ~spl4_174)), 0.18/0.52 inference(resolution,[],[f955,f869])). 0.18/0.52 fof(f956,plain,( 0.18/0.52 spl4_174 | ~spl4_172), 0.18/0.52 inference(avatar_split_clause,[],[f949,f945,f954])). 0.18/0.52 fof(f945,plain,( 0.18/0.52 spl4_172 <=> gt(n0,sK0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_172])])). 0.18/0.52 fof(f949,plain,( 0.18/0.52 leq(sK0,n0) | ~spl4_172), 0.18/0.52 inference(resolution,[],[f946,f165])). 0.18/0.52 fof(f946,plain,( 0.18/0.52 gt(n0,sK0) | ~spl4_172), 0.18/0.52 inference(avatar_component_clause,[],[f945])). 0.18/0.52 fof(f947,plain,( 0.18/0.52 spl4_172 | ~spl4_46 | ~spl4_152), 0.18/0.52 inference(avatar_split_clause,[],[f933,f788,f376,f945])). 0.18/0.52 fof(f933,plain,( 0.18/0.52 gt(n0,sK0) | (~spl4_46 | ~spl4_152)), 0.18/0.52 inference(resolution,[],[f871,f789])). 0.18/0.52 fof(f871,plain,( 0.18/0.52 ( ! [X5] : (~leq(X5,tptp_minus_1) | gt(n0,X5)) ) | ~spl4_46), 0.18/0.52 inference(superposition,[],[f193,f377])). 0.18/0.52 fof(f940,plain,( 0.18/0.52 spl4_170 | ~spl4_46), 0.18/0.52 inference(avatar_split_clause,[],[f932,f376,f938])). 0.18/0.52 fof(f932,plain,( 0.18/0.52 gt(n0,minus(tptp_minus_1,n1)) | ~spl4_46), 0.18/0.52 inference(resolution,[],[f871,f793])). 0.18/0.52 fof(f904,plain,( 0.18/0.52 ~spl4_169 | ~spl4_46), 0.18/0.52 inference(avatar_split_clause,[],[f876,f376,f902])). 0.18/0.52 fof(f876,plain,( 0.18/0.52 ~leq(n0,tptp_minus_1) | ~spl4_46), 0.18/0.52 inference(superposition,[],[f865,f377])). 0.18/0.52 fof(f897,plain,( 0.18/0.52 ~spl4_167 | ~spl4_158), 0.18/0.52 inference(avatar_split_clause,[],[f875,f822,f895])). 0.18/0.52 fof(f895,plain,( 0.18/0.52 spl4_167 <=> ~leq(n3,n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_167])])). 0.18/0.52 fof(f875,plain,( 0.18/0.52 ~leq(n3,n2) | ~spl4_158), 0.18/0.52 inference(superposition,[],[f865,f823])). 0.18/0.52 fof(f890,plain,( 0.18/0.52 ~spl4_165 | ~spl4_28), 0.18/0.52 inference(avatar_split_clause,[],[f874,f313,f888])). 0.18/0.52 fof(f888,plain,( 0.18/0.52 spl4_165 <=> ~leq(n1,n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_165])])). 0.18/0.52 fof(f874,plain,( 0.18/0.52 ~leq(n1,n0) | ~spl4_28), 0.18/0.52 inference(superposition,[],[f865,f314])). 0.18/0.52 fof(f883,plain,( 0.18/0.52 ~spl4_163 | ~spl4_88), 0.18/0.52 inference(avatar_split_clause,[],[f872,f527,f881])). 0.18/0.52 fof(f881,plain,( 0.18/0.52 spl4_163 <=> ~leq(n2,n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_163])])). 0.18/0.52 fof(f872,plain,( 0.18/0.52 ~leq(n2,n1) | ~spl4_88), 0.18/0.52 inference(superposition,[],[f865,f528])). 0.18/0.52 fof(f834,plain,( 0.18/0.52 spl4_160 | ~spl4_158), 0.18/0.52 inference(avatar_split_clause,[],[f826,f822,f832])). 0.18/0.52 fof(f832,plain,( 0.18/0.52 spl4_160 <=> minus(n3,n1) = n2), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_160])])). 0.18/0.52 fof(f826,plain,( 0.18/0.52 minus(n3,n1) = n2 | ~spl4_158), 0.18/0.52 inference(superposition,[],[f206,f823])). 0.18/0.52 fof(f824,plain,( 0.18/0.52 spl4_158 | ~spl4_28 | ~spl4_60 | ~spl4_88), 0.18/0.52 inference(avatar_split_clause,[],[f817,f527,f425,f313,f822])). 0.18/0.52 fof(f425,plain,( 0.18/0.52 spl4_60 <=> succ(succ(succ(n0))) = n3), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_60])])). 0.18/0.52 fof(f817,plain,( 0.18/0.52 succ(n2) = n3 | (~spl4_28 | ~spl4_60 | ~spl4_88)), 0.18/0.52 inference(forward_demodulation,[],[f816,f528])). 0.18/0.52 fof(f816,plain,( 0.18/0.52 succ(succ(n1)) = n3 | (~spl4_28 | ~spl4_60)), 0.18/0.52 inference(forward_demodulation,[],[f426,f314])). 0.18/0.52 fof(f426,plain,( 0.18/0.52 succ(succ(succ(n0))) = n3 | ~spl4_60), 0.18/0.52 inference(avatar_component_clause,[],[f425])). 0.18/0.52 fof(f815,plain,( 0.18/0.52 spl4_154 | ~spl4_157), 0.18/0.52 inference(avatar_split_clause,[],[f801,f813,f807])). 0.18/0.52 fof(f807,plain,( 0.18/0.52 spl4_154 <=> ! [X0] : n1 = sum(n0,minus(n5,n1),a_select3(q,minus(minus(pv10,n1),n1),X0))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_154])])). 0.18/0.52 fof(f801,plain,( 0.18/0.52 ( ! [X0] : (~leq(n0,minus(minus(pv10,n1),n1)) | n1 = sum(n0,minus(n5,n1),a_select3(q,minus(minus(pv10,n1),n1),X0))) )), 0.18/0.52 inference(resolution,[],[f793,f140])). 0.18/0.52 fof(f140,plain,( 0.18/0.52 ( ! [X0,X1] : (~leq(X0,minus(pv10,n1)) | ~leq(n0,X0) | n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))) )), 0.18/0.52 inference(cnf_transformation,[],[f108])). 0.18/0.52 fof(f108,plain,( 0.18/0.52 (~leq(pv10,minus(n135300,n1)) | ? [X2,X3] : (n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3)) & leq(n0,X2) & leq(X2,minus(pv10,n1))) | ? [X4,X5] : (a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))))) & leq(X4,minus(n0,n1)) & leq(n0,X4)) | ~leq(n0,pv10)) & ! [X0,X1] : (n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1)) | ~leq(X0,minus(pv10,n1)) | ~leq(n0,X0)) & leq(pv10,minus(n135300,n1)) & leq(n0,pv10)), 0.18/0.52 inference(flattening,[],[f107])). 0.18/0.52 fof(f107,plain,( 0.18/0.52 (~leq(pv10,minus(n135300,n1)) | ? [X2,X3] : (n1 != sum(n0,minus(n5,n1),a_select3(q,X2,X3)) & (leq(n0,X2) & leq(X2,minus(pv10,n1)))) | ? [X4,X5] : (a_select3(q,pv10,X4) != divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10)))))) & (leq(X4,minus(n0,n1)) & leq(n0,X4))) | ~leq(n0,pv10)) & (! [X0,X1] : (n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1)) | (~leq(X0,minus(pv10,n1)) | ~leq(n0,X0))) & leq(pv10,minus(n135300,n1)) & leq(n0,pv10))), 0.18/0.52 inference(ennf_transformation,[],[f94])). 0.18/0.52 fof(f94,plain,( 0.18/0.52 ~((! [X0,X1] : ((leq(X0,minus(pv10,n1)) & leq(n0,X0)) => n1 = sum(n0,minus(n5,n1),a_select3(q,X0,X1))) & leq(pv10,minus(n135300,n1)) & leq(n0,pv10)) => (leq(pv10,minus(n135300,n1)) & ! [X2,X3] : ((leq(n0,X2) & leq(X2,minus(pv10,n1))) => n1 = sum(n0,minus(n5,n1),a_select3(q,X2,X3))) & ! [X4,X5] : ((leq(X4,minus(n0,n1)) & leq(n0,X4)) => a_select3(q,pv10,X4) = divide(sqrt(times(minus(a_select3(center,X4,n0),a_select2(x,pv10)),minus(a_select3(center,X4,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X5,n0),a_select2(x,pv10)),minus(a_select3(center,X5,n0),a_select2(x,pv10))))))) & leq(n0,pv10)))), 0.18/0.52 inference(rectify,[],[f68])). 0.18/0.52 fof(f68,negated_conjecture,( 0.18/0.52 ~((! [X8,X9] : ((leq(X8,minus(pv10,n1)) & leq(n0,X8)) => n1 = sum(n0,minus(n5,n1),a_select3(q,X8,X9))) & leq(pv10,minus(n135300,n1)) & leq(n0,pv10)) => (leq(pv10,minus(n135300,n1)) & ! [X18,X19] : ((leq(n0,X18) & leq(X18,minus(pv10,n1))) => n1 = sum(n0,minus(n5,n1),a_select3(q,X18,X19))) & ! [X16,X17] : ((leq(X16,minus(n0,n1)) & leq(n0,X16)) => a_select3(q,pv10,X16) = divide(sqrt(times(minus(a_select3(center,X16,n0),a_select2(x,pv10)),minus(a_select3(center,X16,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,n0),a_select2(x,pv10))))))) & leq(n0,pv10)))), 0.18/0.52 inference(negated_conjecture,[],[f67])). 0.18/0.52 fof(f67,conjecture,( 0.18/0.52 (! [X8,X9] : ((leq(X8,minus(pv10,n1)) & leq(n0,X8)) => n1 = sum(n0,minus(n5,n1),a_select3(q,X8,X9))) & leq(pv10,minus(n135300,n1)) & leq(n0,pv10)) => (leq(pv10,minus(n135300,n1)) & ! [X18,X19] : ((leq(n0,X18) & leq(X18,minus(pv10,n1))) => n1 = sum(n0,minus(n5,n1),a_select3(q,X18,X19))) & ! [X16,X17] : ((leq(X16,minus(n0,n1)) & leq(n0,X16)) => a_select3(q,pv10,X16) = divide(sqrt(times(minus(a_select3(center,X16,n0),a_select2(x,pv10)),minus(a_select3(center,X16,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,X17,n0),a_select2(x,pv10)),minus(a_select3(center,X17,n0),a_select2(x,pv10))))))) & leq(n0,pv10))), 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0037)). 0.18/0.52 fof(f790,plain,( 0.18/0.52 spl4_152 | ~spl4_12 | ~spl4_148), 0.18/0.52 inference(avatar_split_clause,[],[f783,f770,f253,f788])). 0.18/0.52 fof(f253,plain,( 0.18/0.52 spl4_12 <=> leq(sK0,minus(n0,n1))), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_12])])). 0.18/0.52 fof(f770,plain,( 0.18/0.52 spl4_148 <=> minus(n0,n1) = tptp_minus_1), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_148])])). 0.18/0.52 fof(f783,plain,( 0.18/0.52 leq(sK0,tptp_minus_1) | (~spl4_12 | ~spl4_148)), 0.18/0.52 inference(backward_demodulation,[],[f771,f254])). 0.18/0.52 fof(f254,plain,( 0.18/0.52 leq(sK0,minus(n0,n1)) | ~spl4_12), 0.18/0.52 inference(avatar_component_clause,[],[f253])). 0.18/0.52 fof(f771,plain,( 0.18/0.52 minus(n0,n1) = tptp_minus_1 | ~spl4_148), 0.18/0.52 inference(avatar_component_clause,[],[f770])). 0.18/0.52 fof(f779,plain,( 0.18/0.52 spl4_150 | ~spl4_88), 0.18/0.52 inference(avatar_split_clause,[],[f758,f527,f777])). 0.18/0.52 fof(f777,plain,( 0.18/0.52 spl4_150 <=> n1 = minus(n2,n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_150])])). 0.18/0.52 fof(f758,plain,( 0.18/0.52 n1 = minus(n2,n1) | ~spl4_88), 0.18/0.52 inference(superposition,[],[f206,f528])). 0.18/0.52 fof(f772,plain,( 0.18/0.52 spl4_148 | ~spl4_46), 0.18/0.52 inference(avatar_split_clause,[],[f757,f376,f770])). 0.18/0.52 fof(f757,plain,( 0.18/0.52 minus(n0,n1) = tptp_minus_1 | ~spl4_46), 0.18/0.52 inference(superposition,[],[f206,f377])). 0.18/0.52 fof(f765,plain,( 0.18/0.52 spl4_146 | ~spl4_28), 0.18/0.52 inference(avatar_split_clause,[],[f756,f313,f763])). 0.18/0.52 fof(f763,plain,( 0.18/0.52 spl4_146 <=> minus(n1,n1) = n0), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_146])])). 0.18/0.52 fof(f756,plain,( 0.18/0.52 minus(n1,n1) = n0 | ~spl4_28), 0.18/0.52 inference(superposition,[],[f206,f314])). 0.18/0.52 fof(f755,plain,( 0.18/0.52 spl4_144 | ~spl4_42), 0.18/0.52 inference(avatar_split_clause,[],[f559,f362,f753])). 0.18/0.52 fof(f753,plain,( 0.18/0.52 spl4_144 <=> leq(tptp_minus_1,n135300)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_144])])). 0.18/0.52 fof(f362,plain,( 0.18/0.52 spl4_42 <=> gt(n135300,tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_42])])). 0.18/0.52 fof(f559,plain,( 0.18/0.52 leq(tptp_minus_1,n135300) | ~spl4_42), 0.18/0.52 inference(resolution,[],[f165,f363])). 0.18/0.52 fof(f363,plain,( 0.18/0.52 gt(n135300,tptp_minus_1) | ~spl4_42), 0.18/0.52 inference(avatar_component_clause,[],[f362])). 0.18/0.52 fof(f748,plain,( 0.18/0.52 spl4_142 | ~spl4_40), 0.18/0.52 inference(avatar_split_clause,[],[f558,f355,f746])). 0.18/0.52 fof(f746,plain,( 0.18/0.52 spl4_142 <=> leq(n2,n135300)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_142])])). 0.18/0.52 fof(f355,plain,( 0.18/0.52 spl4_40 <=> gt(n135300,n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_40])])). 0.18/0.52 fof(f558,plain,( 0.18/0.52 leq(n2,n135300) | ~spl4_40), 0.18/0.52 inference(resolution,[],[f165,f356])). 0.18/0.52 fof(f356,plain,( 0.18/0.52 gt(n135300,n2) | ~spl4_40), 0.18/0.52 inference(avatar_component_clause,[],[f355])). 0.18/0.52 fof(f741,plain,( 0.18/0.52 spl4_140 | ~spl4_44), 0.18/0.52 inference(avatar_split_clause,[],[f557,f369,f739])). 0.18/0.52 fof(f739,plain,( 0.18/0.52 spl4_140 <=> leq(n3,n135300)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_140])])). 0.18/0.52 fof(f369,plain,( 0.18/0.52 spl4_44 <=> gt(n135300,n3)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_44])])). 0.18/0.52 fof(f557,plain,( 0.18/0.52 leq(n3,n135300) | ~spl4_44), 0.18/0.52 inference(resolution,[],[f165,f370])). 0.18/0.52 fof(f370,plain,( 0.18/0.52 gt(n135300,n3) | ~spl4_44), 0.18/0.52 inference(avatar_component_clause,[],[f369])). 0.18/0.52 fof(f734,plain,( 0.18/0.52 spl4_138 | ~spl4_32), 0.18/0.52 inference(avatar_split_clause,[],[f556,f327,f732])). 0.18/0.52 fof(f732,plain,( 0.18/0.52 spl4_138 <=> leq(n0,n135300)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_138])])). 0.18/0.52 fof(f327,plain,( 0.18/0.52 spl4_32 <=> gt(n135300,n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_32])])). 0.18/0.52 fof(f556,plain,( 0.18/0.52 leq(n0,n135300) | ~spl4_32), 0.18/0.52 inference(resolution,[],[f165,f328])). 0.18/0.52 fof(f328,plain,( 0.18/0.52 gt(n135300,n0) | ~spl4_32), 0.18/0.52 inference(avatar_component_clause,[],[f327])). 0.18/0.52 fof(f727,plain,( 0.18/0.52 spl4_136 | ~spl4_38), 0.18/0.52 inference(avatar_split_clause,[],[f555,f348,f725])). 0.18/0.52 fof(f725,plain,( 0.18/0.52 spl4_136 <=> leq(n4,n135300)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_136])])). 0.18/0.52 fof(f348,plain,( 0.18/0.52 spl4_38 <=> gt(n135300,n4)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_38])])). 0.18/0.52 fof(f555,plain,( 0.18/0.52 leq(n4,n135300) | ~spl4_38), 0.18/0.52 inference(resolution,[],[f165,f349])). 0.18/0.52 fof(f349,plain,( 0.18/0.52 gt(n135300,n4) | ~spl4_38), 0.18/0.52 inference(avatar_component_clause,[],[f348])). 0.18/0.52 fof(f720,plain,( 0.18/0.52 spl4_134 | ~spl4_34), 0.18/0.52 inference(avatar_split_clause,[],[f554,f334,f718])). 0.18/0.52 fof(f718,plain,( 0.18/0.52 spl4_134 <=> leq(n1,n135300)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_134])])). 0.18/0.52 fof(f334,plain,( 0.18/0.52 spl4_34 <=> gt(n135300,n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_34])])). 0.18/0.52 fof(f554,plain,( 0.18/0.52 leq(n1,n135300) | ~spl4_34), 0.18/0.52 inference(resolution,[],[f165,f335])). 0.18/0.52 fof(f335,plain,( 0.18/0.52 gt(n135300,n1) | ~spl4_34), 0.18/0.52 inference(avatar_component_clause,[],[f334])). 0.18/0.52 fof(f713,plain,( 0.18/0.52 spl4_132 | ~spl4_36), 0.18/0.52 inference(avatar_split_clause,[],[f553,f341,f711])). 0.18/0.52 fof(f711,plain,( 0.18/0.52 spl4_132 <=> leq(n5,n135300)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_132])])). 0.18/0.52 fof(f341,plain,( 0.18/0.52 spl4_36 <=> gt(n135300,n5)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_36])])). 0.18/0.52 fof(f553,plain,( 0.18/0.52 leq(n5,n135300) | ~spl4_36), 0.18/0.52 inference(resolution,[],[f165,f342])). 0.18/0.52 fof(f342,plain,( 0.18/0.52 gt(n135300,n5) | ~spl4_36), 0.18/0.52 inference(avatar_component_clause,[],[f341])). 0.18/0.52 fof(f706,plain,( 0.18/0.52 spl4_130 | ~spl4_82), 0.18/0.52 inference(avatar_split_clause,[],[f552,f502,f704])). 0.18/0.52 fof(f704,plain,( 0.18/0.52 spl4_130 <=> leq(n0,n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_130])])). 0.18/0.52 fof(f502,plain,( 0.18/0.52 spl4_82 <=> gt(n2,n0)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_82])])). 0.18/0.52 fof(f552,plain,( 0.18/0.52 leq(n0,n2) | ~spl4_82), 0.18/0.52 inference(resolution,[],[f165,f503])). 0.18/0.52 fof(f503,plain,( 0.18/0.52 gt(n2,n0) | ~spl4_82), 0.18/0.52 inference(avatar_component_clause,[],[f502])). 0.18/0.52 fof(f699,plain,( 0.18/0.52 spl4_128 | ~spl4_80), 0.18/0.52 inference(avatar_split_clause,[],[f551,f495,f697])). 0.18/0.52 fof(f697,plain,( 0.18/0.52 spl4_128 <=> leq(n1,n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_128])])). 0.18/0.52 fof(f495,plain,( 0.18/0.52 spl4_80 <=> gt(n2,n1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_80])])). 0.18/0.52 fof(f551,plain,( 0.18/0.52 leq(n1,n2) | ~spl4_80), 0.18/0.52 inference(resolution,[],[f165,f496])). 0.18/0.52 fof(f496,plain,( 0.18/0.52 gt(n2,n1) | ~spl4_80), 0.18/0.52 inference(avatar_component_clause,[],[f495])). 0.18/0.52 fof(f692,plain,( 0.18/0.52 spl4_126 | ~spl4_54), 0.18/0.52 inference(avatar_split_clause,[],[f550,f404,f690])). 0.18/0.52 fof(f690,plain,( 0.18/0.52 spl4_126 <=> leq(tptp_minus_1,n2)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_126])])). 0.18/0.52 fof(f404,plain,( 0.18/0.52 spl4_54 <=> gt(n2,tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_54])])). 0.18/0.52 fof(f550,plain,( 0.18/0.52 leq(tptp_minus_1,n2) | ~spl4_54), 0.18/0.52 inference(resolution,[],[f165,f405])). 0.18/0.52 fof(f405,plain,( 0.18/0.52 gt(n2,tptp_minus_1) | ~spl4_54), 0.18/0.52 inference(avatar_component_clause,[],[f404])). 0.18/0.52 fof(f685,plain,( 0.18/0.52 spl4_124 | ~spl4_50), 0.18/0.52 inference(avatar_split_clause,[],[f549,f390,f683])). 0.18/0.52 fof(f683,plain,( 0.18/0.52 spl4_124 <=> leq(tptp_minus_1,n3)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_124])])). 0.18/0.52 fof(f390,plain,( 0.18/0.52 spl4_50 <=> gt(n3,tptp_minus_1)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_50])])). 0.18/0.52 fof(f549,plain,( 0.18/0.52 leq(tptp_minus_1,n3) | ~spl4_50), 0.18/0.52 inference(resolution,[],[f165,f391])). 0.18/0.52 fof(f391,plain,( 0.18/0.52 gt(n3,tptp_minus_1) | ~spl4_50), 0.18/0.52 inference(avatar_component_clause,[],[f390])). 0.18/0.52 fof(f678,plain,( 0.18/0.52 spl4_122 | ~spl4_64), 0.18/0.52 inference(avatar_split_clause,[],[f548,f439,f676])). 0.18/0.52 fof(f676,plain,( 0.18/0.52 spl4_122 <=> leq(n2,n3)), 0.18/0.52 introduced(avatar_definition,[new_symbols(naming,[spl4_122])])). 0.18/0.52 fof(f439,plain,( 0.18/0.53 spl4_64 <=> gt(n3,n2)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_64])])). 0.18/0.53 fof(f548,plain,( 0.18/0.53 leq(n2,n3) | ~spl4_64), 0.18/0.53 inference(resolution,[],[f165,f440])). 0.18/0.53 fof(f440,plain,( 0.18/0.53 gt(n3,n2) | ~spl4_64), 0.18/0.53 inference(avatar_component_clause,[],[f439])). 0.18/0.53 fof(f671,plain,( 0.18/0.53 spl4_120 | ~spl4_62), 0.18/0.53 inference(avatar_split_clause,[],[f547,f432,f669])). 0.18/0.53 fof(f669,plain,( 0.18/0.53 spl4_120 <=> leq(n0,n3)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_120])])). 0.18/0.53 fof(f432,plain,( 0.18/0.53 spl4_62 <=> gt(n3,n0)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_62])])). 0.18/0.53 fof(f547,plain,( 0.18/0.53 leq(n0,n3) | ~spl4_62), 0.18/0.53 inference(resolution,[],[f165,f433])). 0.18/0.53 fof(f433,plain,( 0.18/0.53 gt(n3,n0) | ~spl4_62), 0.18/0.53 inference(avatar_component_clause,[],[f432])). 0.18/0.53 fof(f664,plain,( 0.18/0.53 spl4_118 | ~spl4_66), 0.18/0.53 inference(avatar_split_clause,[],[f546,f446,f662])). 0.18/0.53 fof(f662,plain,( 0.18/0.53 spl4_118 <=> leq(n1,n3)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_118])])). 0.18/0.53 fof(f446,plain,( 0.18/0.53 spl4_66 <=> gt(n3,n1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_66])])). 0.18/0.53 fof(f546,plain,( 0.18/0.53 leq(n1,n3) | ~spl4_66), 0.18/0.53 inference(resolution,[],[f165,f447])). 0.18/0.53 fof(f447,plain,( 0.18/0.53 gt(n3,n1) | ~spl4_66), 0.18/0.53 inference(avatar_component_clause,[],[f446])). 0.18/0.53 fof(f657,plain,( 0.18/0.53 spl4_116 | ~spl4_56), 0.18/0.53 inference(avatar_split_clause,[],[f545,f411,f655])). 0.18/0.53 fof(f655,plain,( 0.18/0.53 spl4_116 <=> leq(tptp_minus_1,n0)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_116])])). 0.18/0.53 fof(f411,plain,( 0.18/0.53 spl4_56 <=> gt(n0,tptp_minus_1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_56])])). 0.18/0.53 fof(f545,plain,( 0.18/0.53 leq(tptp_minus_1,n0) | ~spl4_56), 0.18/0.53 inference(resolution,[],[f165,f412])). 0.18/0.53 fof(f412,plain,( 0.18/0.53 gt(n0,tptp_minus_1) | ~spl4_56), 0.18/0.53 inference(avatar_component_clause,[],[f411])). 0.18/0.53 fof(f650,plain,( 0.18/0.53 spl4_114 | ~spl4_58), 0.18/0.53 inference(avatar_split_clause,[],[f544,f418,f648])). 0.18/0.53 fof(f648,plain,( 0.18/0.53 spl4_114 <=> leq(tptp_minus_1,n4)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_114])])). 0.18/0.53 fof(f418,plain,( 0.18/0.53 spl4_58 <=> gt(n4,tptp_minus_1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_58])])). 0.18/0.53 fof(f544,plain,( 0.18/0.53 leq(tptp_minus_1,n4) | ~spl4_58), 0.18/0.53 inference(resolution,[],[f165,f419])). 0.18/0.53 fof(f419,plain,( 0.18/0.53 gt(n4,tptp_minus_1) | ~spl4_58), 0.18/0.53 inference(avatar_component_clause,[],[f418])). 0.18/0.53 fof(f643,plain,( 0.18/0.53 spl4_112 | ~spl4_72), 0.18/0.53 inference(avatar_split_clause,[],[f543,f467,f641])). 0.18/0.53 fof(f641,plain,( 0.18/0.53 spl4_112 <=> leq(n2,n4)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_112])])). 0.18/0.53 fof(f467,plain,( 0.18/0.53 spl4_72 <=> gt(n4,n2)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_72])])). 0.18/0.53 fof(f543,plain,( 0.18/0.53 leq(n2,n4) | ~spl4_72), 0.18/0.53 inference(resolution,[],[f165,f468])). 0.18/0.53 fof(f468,plain,( 0.18/0.53 gt(n4,n2) | ~spl4_72), 0.18/0.53 inference(avatar_component_clause,[],[f467])). 0.18/0.53 fof(f636,plain,( 0.18/0.53 spl4_110 | ~spl4_76), 0.18/0.53 inference(avatar_split_clause,[],[f542,f481,f634])). 0.18/0.53 fof(f634,plain,( 0.18/0.53 spl4_110 <=> leq(n3,n4)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_110])])). 0.18/0.53 fof(f481,plain,( 0.18/0.53 spl4_76 <=> gt(n4,n3)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_76])])). 0.18/0.53 fof(f542,plain,( 0.18/0.53 leq(n3,n4) | ~spl4_76), 0.18/0.53 inference(resolution,[],[f165,f482])). 0.18/0.53 fof(f482,plain,( 0.18/0.53 gt(n4,n3) | ~spl4_76), 0.18/0.53 inference(avatar_component_clause,[],[f481])). 0.18/0.53 fof(f629,plain,( 0.18/0.53 spl4_108 | ~spl4_74), 0.18/0.53 inference(avatar_split_clause,[],[f541,f474,f627])). 0.18/0.53 fof(f627,plain,( 0.18/0.53 spl4_108 <=> leq(n0,n4)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_108])])). 0.18/0.53 fof(f474,plain,( 0.18/0.53 spl4_74 <=> gt(n4,n0)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_74])])). 0.18/0.53 fof(f541,plain,( 0.18/0.53 leq(n0,n4) | ~spl4_74), 0.18/0.53 inference(resolution,[],[f165,f475])). 0.18/0.53 fof(f475,plain,( 0.18/0.53 gt(n4,n0) | ~spl4_74), 0.18/0.53 inference(avatar_component_clause,[],[f474])). 0.18/0.53 fof(f622,plain,( 0.18/0.53 spl4_106 | ~spl4_70), 0.18/0.53 inference(avatar_split_clause,[],[f540,f460,f620])). 0.18/0.53 fof(f620,plain,( 0.18/0.53 spl4_106 <=> leq(n1,n4)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_106])])). 0.18/0.53 fof(f460,plain,( 0.18/0.53 spl4_70 <=> gt(n4,n1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_70])])). 0.18/0.53 fof(f540,plain,( 0.18/0.53 leq(n1,n4) | ~spl4_70), 0.18/0.53 inference(resolution,[],[f165,f461])). 0.18/0.53 fof(f461,plain,( 0.18/0.53 gt(n4,n1) | ~spl4_70), 0.18/0.53 inference(avatar_component_clause,[],[f460])). 0.18/0.53 fof(f615,plain,( 0.18/0.53 spl4_104 | ~spl4_52), 0.18/0.53 inference(avatar_split_clause,[],[f539,f397,f613])). 0.18/0.53 fof(f613,plain,( 0.18/0.53 spl4_104 <=> leq(tptp_minus_1,n1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_104])])). 0.18/0.53 fof(f397,plain,( 0.18/0.53 spl4_52 <=> gt(n1,tptp_minus_1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_52])])). 0.18/0.53 fof(f539,plain,( 0.18/0.53 leq(tptp_minus_1,n1) | ~spl4_52), 0.18/0.53 inference(resolution,[],[f165,f398])). 0.18/0.53 fof(f398,plain,( 0.18/0.53 gt(n1,tptp_minus_1) | ~spl4_52), 0.18/0.53 inference(avatar_component_clause,[],[f397])). 0.18/0.53 fof(f608,plain,( 0.18/0.53 spl4_102 | ~spl4_30), 0.18/0.53 inference(avatar_split_clause,[],[f538,f320,f606])). 0.18/0.53 fof(f606,plain,( 0.18/0.53 spl4_102 <=> leq(n0,n1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_102])])). 0.18/0.53 fof(f320,plain,( 0.18/0.53 spl4_30 <=> gt(n1,n0)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_30])])). 0.18/0.53 fof(f538,plain,( 0.18/0.53 leq(n0,n1) | ~spl4_30), 0.18/0.53 inference(resolution,[],[f165,f321])). 0.18/0.53 fof(f321,plain,( 0.18/0.53 gt(n1,n0) | ~spl4_30), 0.18/0.53 inference(avatar_component_clause,[],[f320])). 0.18/0.53 fof(f601,plain,( 0.18/0.53 spl4_100 | ~spl4_48), 0.18/0.53 inference(avatar_split_clause,[],[f537,f383,f599])). 0.18/0.53 fof(f599,plain,( 0.18/0.53 spl4_100 <=> leq(tptp_minus_1,n5)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_100])])). 0.18/0.53 fof(f383,plain,( 0.18/0.53 spl4_48 <=> gt(n5,tptp_minus_1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_48])])). 0.18/0.53 fof(f537,plain,( 0.18/0.53 leq(tptp_minus_1,n5) | ~spl4_48), 0.18/0.53 inference(resolution,[],[f165,f384])). 0.18/0.53 fof(f384,plain,( 0.18/0.53 gt(n5,tptp_minus_1) | ~spl4_48), 0.18/0.53 inference(avatar_component_clause,[],[f383])). 0.18/0.53 fof(f594,plain,( 0.18/0.53 spl4_98 | ~spl4_26), 0.18/0.53 inference(avatar_split_clause,[],[f536,f306,f592])). 0.18/0.53 fof(f592,plain,( 0.18/0.53 spl4_98 <=> leq(n2,n5)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_98])])). 0.18/0.53 fof(f306,plain,( 0.18/0.53 spl4_26 <=> gt(n5,n2)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_26])])). 0.18/0.53 fof(f536,plain,( 0.18/0.53 leq(n2,n5) | ~spl4_26), 0.18/0.53 inference(resolution,[],[f165,f307])). 0.18/0.53 fof(f307,plain,( 0.18/0.53 gt(n5,n2) | ~spl4_26), 0.18/0.53 inference(avatar_component_clause,[],[f306])). 0.18/0.53 fof(f587,plain,( 0.18/0.53 spl4_96 | ~spl4_22), 0.18/0.53 inference(avatar_split_clause,[],[f535,f292,f585])). 0.18/0.53 fof(f585,plain,( 0.18/0.53 spl4_96 <=> leq(n3,n5)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_96])])). 0.18/0.53 fof(f292,plain,( 0.18/0.53 spl4_22 <=> gt(n5,n3)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_22])])). 0.18/0.53 fof(f535,plain,( 0.18/0.53 leq(n3,n5) | ~spl4_22), 0.18/0.53 inference(resolution,[],[f165,f293])). 0.18/0.53 fof(f293,plain,( 0.18/0.53 gt(n5,n3) | ~spl4_22), 0.18/0.53 inference(avatar_component_clause,[],[f292])). 0.18/0.53 fof(f580,plain,( 0.18/0.53 spl4_94 | ~spl4_18), 0.18/0.53 inference(avatar_split_clause,[],[f534,f278,f578])). 0.18/0.53 fof(f578,plain,( 0.18/0.53 spl4_94 <=> leq(n0,n5)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_94])])). 0.18/0.53 fof(f278,plain,( 0.18/0.53 spl4_18 <=> gt(n5,n0)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_18])])). 0.18/0.53 fof(f534,plain,( 0.18/0.53 leq(n0,n5) | ~spl4_18), 0.18/0.53 inference(resolution,[],[f165,f279])). 0.18/0.53 fof(f279,plain,( 0.18/0.53 gt(n5,n0) | ~spl4_18), 0.18/0.53 inference(avatar_component_clause,[],[f278])). 0.18/0.53 fof(f573,plain,( 0.18/0.53 spl4_92 | ~spl4_20), 0.18/0.53 inference(avatar_split_clause,[],[f533,f285,f571])). 0.18/0.53 fof(f571,plain,( 0.18/0.53 spl4_92 <=> leq(n4,n5)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_92])])). 0.18/0.53 fof(f285,plain,( 0.18/0.53 spl4_20 <=> gt(n5,n4)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_20])])). 0.18/0.53 fof(f533,plain,( 0.18/0.53 leq(n4,n5) | ~spl4_20), 0.18/0.53 inference(resolution,[],[f165,f286])). 0.18/0.53 fof(f286,plain,( 0.18/0.53 gt(n5,n4) | ~spl4_20), 0.18/0.53 inference(avatar_component_clause,[],[f285])). 0.18/0.53 fof(f566,plain,( 0.18/0.53 spl4_90 | ~spl4_24), 0.18/0.53 inference(avatar_split_clause,[],[f532,f299,f564])). 0.18/0.53 fof(f564,plain,( 0.18/0.53 spl4_90 <=> leq(n1,n5)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_90])])). 0.18/0.53 fof(f299,plain,( 0.18/0.53 spl4_24 <=> gt(n5,n1)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_24])])). 0.18/0.53 fof(f532,plain,( 0.18/0.53 leq(n1,n5) | ~spl4_24), 0.18/0.53 inference(resolution,[],[f165,f300])). 0.18/0.53 fof(f300,plain,( 0.18/0.53 gt(n5,n1) | ~spl4_24), 0.18/0.53 inference(avatar_component_clause,[],[f299])). 0.18/0.53 fof(f529,plain,( 0.18/0.53 spl4_88 | ~spl4_28 | ~spl4_78), 0.18/0.53 inference(avatar_split_clause,[],[f522,f488,f313,f527])). 0.18/0.53 fof(f488,plain,( 0.18/0.53 spl4_78 <=> succ(succ(n0)) = n2), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_78])])). 0.18/0.53 fof(f522,plain,( 0.18/0.53 succ(n1) = n2 | (~spl4_28 | ~spl4_78)), 0.18/0.53 inference(forward_demodulation,[],[f489,f314])). 0.18/0.53 fof(f489,plain,( 0.18/0.53 succ(succ(n0)) = n2 | ~spl4_78), 0.18/0.53 inference(avatar_component_clause,[],[f488])). 0.18/0.53 fof(f519,plain,( 0.18/0.53 spl4_5 | ~spl4_8 | ~spl4_10), 0.18/0.53 inference(avatar_contradiction_clause,[],[f518])). 0.18/0.53 fof(f518,plain,( 0.18/0.53 $false | (~spl4_5 | ~spl4_8 | ~spl4_10)), 0.18/0.53 inference(subsumption_resolution,[],[f227,f517])). 0.18/0.53 fof(f517,plain,( 0.18/0.53 ( ! [X1] : (n1 = sum(n0,minus(n5,n1),a_select3(q,sK2,X1))) ) | (~spl4_8 | ~spl4_10)), 0.18/0.53 inference(subsumption_resolution,[],[f506,f240])). 0.18/0.53 fof(f240,plain,( 0.18/0.53 leq(n0,sK2) | ~spl4_8), 0.18/0.53 inference(avatar_component_clause,[],[f239])). 0.18/0.53 fof(f239,plain,( 0.18/0.53 spl4_8 <=> leq(n0,sK2)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_8])])). 0.18/0.53 fof(f506,plain,( 0.18/0.53 ( ! [X1] : (~leq(n0,sK2) | n1 = sum(n0,minus(n5,n1),a_select3(q,sK2,X1))) ) | ~spl4_10), 0.18/0.53 inference(resolution,[],[f140,f247])). 0.18/0.53 fof(f247,plain,( 0.18/0.53 leq(sK2,minus(pv10,n1)) | ~spl4_10), 0.18/0.53 inference(avatar_component_clause,[],[f246])). 0.18/0.53 fof(f246,plain,( 0.18/0.53 spl4_10 <=> leq(sK2,minus(pv10,n1))), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_10])])). 0.18/0.53 fof(f516,plain,( 0.18/0.53 spl4_84 | ~spl4_87), 0.18/0.53 inference(avatar_split_clause,[],[f505,f514,f508])). 0.18/0.53 fof(f508,plain,( 0.18/0.53 spl4_84 <=> ! [X0] : n1 = sum(n0,minus(n5,n1),a_select3(q,minus(pv10,n1),X0))), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_84])])). 0.18/0.53 fof(f505,plain,( 0.18/0.53 ( ! [X0] : (~leq(n0,minus(pv10,n1)) | n1 = sum(n0,minus(n5,n1),a_select3(q,minus(pv10,n1),X0))) )), 0.18/0.53 inference(resolution,[],[f140,f167])). 0.18/0.53 fof(f167,plain,( 0.18/0.53 ( ! [X0] : (leq(X0,X0)) )), 0.18/0.53 inference(cnf_transformation,[],[f40])). 0.18/0.53 fof(f40,axiom,( 0.18/0.53 ! [X0] : leq(X0,X0)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq)). 0.18/0.53 fof(f504,plain,( 0.18/0.53 spl4_82), 0.18/0.53 inference(avatar_split_clause,[],[f189,f502])). 0.18/0.53 fof(f189,plain,( 0.18/0.53 gt(n2,n0)), 0.18/0.53 inference(cnf_transformation,[],[f76])). 0.18/0.53 fof(f76,axiom,( 0.18/0.53 gt(n2,n0)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0)). 0.18/0.53 fof(f497,plain,( 0.18/0.53 spl4_80), 0.18/0.53 inference(avatar_split_clause,[],[f188,f495])). 0.18/0.53 fof(f188,plain,( 0.18/0.53 gt(n2,n1)), 0.18/0.53 inference(cnf_transformation,[],[f72])). 0.18/0.53 fof(f72,axiom,( 0.18/0.53 gt(n2,n1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1)). 0.18/0.53 fof(f490,plain,( 0.18/0.53 spl4_78), 0.18/0.53 inference(avatar_split_clause,[],[f187,f488])). 0.18/0.53 fof(f187,plain,( 0.18/0.53 succ(succ(n0)) = n2), 0.18/0.53 inference(cnf_transformation,[],[f63])). 0.18/0.53 fof(f63,axiom,( 0.18/0.53 succ(succ(n0)) = n2), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2)). 0.18/0.53 fof(f483,plain,( 0.18/0.53 spl4_76), 0.18/0.53 inference(avatar_split_clause,[],[f185,f481])). 0.18/0.53 fof(f185,plain,( 0.18/0.53 gt(n4,n3)), 0.18/0.53 inference(cnf_transformation,[],[f91])). 0.18/0.53 fof(f91,axiom,( 0.18/0.53 gt(n4,n3)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3)). 0.18/0.53 fof(f476,plain,( 0.18/0.53 spl4_74), 0.18/0.53 inference(avatar_split_clause,[],[f184,f474])). 0.18/0.53 fof(f184,plain,( 0.18/0.53 gt(n4,n0)), 0.18/0.53 inference(cnf_transformation,[],[f81])). 0.18/0.53 fof(f81,axiom,( 0.18/0.53 gt(n4,n0)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0)). 0.18/0.53 fof(f469,plain,( 0.18/0.53 spl4_72), 0.18/0.53 inference(avatar_split_clause,[],[f183,f467])). 0.18/0.53 fof(f183,plain,( 0.18/0.53 gt(n4,n2)), 0.18/0.53 inference(cnf_transformation,[],[f83])). 0.18/0.53 fof(f83,axiom,( 0.18/0.53 gt(n4,n2)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2)). 0.18/0.53 fof(f462,plain,( 0.18/0.53 spl4_70), 0.18/0.53 inference(avatar_split_clause,[],[f182,f460])). 0.18/0.53 fof(f182,plain,( 0.18/0.53 gt(n4,n1)), 0.18/0.53 inference(cnf_transformation,[],[f61])). 0.18/0.53 fof(f61,axiom,( 0.18/0.53 gt(n4,n1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1)). 0.18/0.53 fof(f455,plain,( 0.18/0.53 spl4_68), 0.18/0.53 inference(avatar_split_clause,[],[f181,f453])). 0.18/0.53 fof(f453,plain,( 0.18/0.53 spl4_68 <=> succ(succ(succ(succ(n0)))) = n4), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_68])])). 0.18/0.53 fof(f181,plain,( 0.18/0.53 succ(succ(succ(succ(n0)))) = n4), 0.18/0.53 inference(cnf_transformation,[],[f66])). 0.18/0.53 fof(f66,axiom,( 0.18/0.53 succ(succ(succ(succ(n0)))) = n4), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4)). 0.18/0.53 fof(f448,plain,( 0.18/0.53 spl4_66), 0.18/0.53 inference(avatar_split_clause,[],[f179,f446])). 0.18/0.53 fof(f179,plain,( 0.18/0.53 gt(n3,n1)), 0.18/0.53 inference(cnf_transformation,[],[f82])). 0.18/0.53 fof(f82,axiom,( 0.18/0.53 gt(n3,n1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1)). 0.18/0.53 fof(f441,plain,( 0.18/0.53 spl4_64), 0.18/0.53 inference(avatar_split_clause,[],[f178,f439])). 0.18/0.53 fof(f178,plain,( 0.18/0.53 gt(n3,n2)), 0.18/0.53 inference(cnf_transformation,[],[f57])). 0.18/0.53 fof(f57,axiom,( 0.18/0.53 gt(n3,n2)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2)). 0.18/0.53 fof(f434,plain,( 0.18/0.53 spl4_62), 0.18/0.53 inference(avatar_split_clause,[],[f177,f432])). 0.18/0.53 fof(f177,plain,( 0.18/0.53 gt(n3,n0)), 0.18/0.53 inference(cnf_transformation,[],[f78])). 0.18/0.53 fof(f78,axiom,( 0.18/0.53 gt(n3,n0)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0)). 0.18/0.53 fof(f427,plain,( 0.18/0.53 spl4_60), 0.18/0.53 inference(avatar_split_clause,[],[f176,f425])). 0.18/0.53 fof(f176,plain,( 0.18/0.53 succ(succ(succ(n0))) = n3), 0.18/0.53 inference(cnf_transformation,[],[f84])). 0.18/0.53 fof(f84,axiom,( 0.18/0.53 succ(succ(succ(n0))) = n3), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3)). 0.18/0.53 fof(f420,plain,( 0.18/0.53 spl4_58), 0.18/0.53 inference(avatar_split_clause,[],[f174,f418])). 0.18/0.53 fof(f174,plain,( 0.18/0.53 gt(n4,tptp_minus_1)), 0.18/0.53 inference(cnf_transformation,[],[f86])). 0.18/0.53 fof(f86,axiom,( 0.18/0.53 gt(n4,tptp_minus_1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_tptp_minus_1)). 0.18/0.53 fof(f413,plain,( 0.18/0.53 spl4_56), 0.18/0.53 inference(avatar_split_clause,[],[f173,f411])). 0.18/0.53 fof(f173,plain,( 0.18/0.53 gt(n0,tptp_minus_1)), 0.18/0.53 inference(cnf_transformation,[],[f56])). 0.18/0.53 fof(f56,axiom,( 0.18/0.53 gt(n0,tptp_minus_1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_0_tptp_minus_1)). 0.18/0.53 fof(f406,plain,( 0.18/0.53 spl4_54), 0.18/0.53 inference(avatar_split_clause,[],[f172,f404])). 0.18/0.53 fof(f172,plain,( 0.18/0.53 gt(n2,tptp_minus_1)), 0.18/0.53 inference(cnf_transformation,[],[f74])). 0.18/0.53 fof(f74,axiom,( 0.18/0.53 gt(n2,tptp_minus_1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_tptp_minus_1)). 0.18/0.53 fof(f399,plain,( 0.18/0.53 spl4_52), 0.18/0.53 inference(avatar_split_clause,[],[f171,f397])). 0.18/0.53 fof(f171,plain,( 0.18/0.53 gt(n1,tptp_minus_1)), 0.18/0.53 inference(cnf_transformation,[],[f65])). 0.18/0.53 fof(f65,axiom,( 0.18/0.53 gt(n1,tptp_minus_1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_tptp_minus_1)). 0.18/0.53 fof(f392,plain,( 0.18/0.53 spl4_50), 0.18/0.53 inference(avatar_split_clause,[],[f170,f390])). 0.18/0.53 fof(f170,plain,( 0.18/0.53 gt(n3,tptp_minus_1)), 0.18/0.53 inference(cnf_transformation,[],[f70])). 0.18/0.53 fof(f70,axiom,( 0.18/0.53 gt(n3,tptp_minus_1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_tptp_minus_1)). 0.18/0.53 fof(f385,plain,( 0.18/0.53 spl4_48), 0.18/0.53 inference(avatar_split_clause,[],[f169,f383])). 0.18/0.53 fof(f169,plain,( 0.18/0.53 gt(n5,tptp_minus_1)), 0.18/0.53 inference(cnf_transformation,[],[f73])). 0.18/0.53 fof(f73,axiom,( 0.18/0.53 gt(n5,tptp_minus_1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_tptp_minus_1)). 0.18/0.53 fof(f378,plain,( 0.18/0.53 spl4_46), 0.18/0.53 inference(avatar_split_clause,[],[f168,f376])). 0.18/0.53 fof(f168,plain,( 0.18/0.53 succ(tptp_minus_1) = n0), 0.18/0.53 inference(cnf_transformation,[],[f52])). 0.18/0.53 fof(f52,axiom,( 0.18/0.53 succ(tptp_minus_1) = n0), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1)). 0.18/0.53 fof(f371,plain,( 0.18/0.53 spl4_44), 0.18/0.53 inference(avatar_split_clause,[],[f162,f369])). 0.18/0.53 fof(f162,plain,( 0.18/0.53 gt(n135300,n3)), 0.18/0.53 inference(cnf_transformation,[],[f90])). 0.18/0.53 fof(f90,axiom,( 0.18/0.53 gt(n135300,n3)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_3)). 0.18/0.53 fof(f364,plain,( 0.18/0.53 spl4_42), 0.18/0.53 inference(avatar_split_clause,[],[f161,f362])). 0.18/0.53 fof(f161,plain,( 0.18/0.53 gt(n135300,tptp_minus_1)), 0.18/0.53 inference(cnf_transformation,[],[f89])). 0.18/0.53 fof(f89,axiom,( 0.18/0.53 gt(n135300,tptp_minus_1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_tptp_minus_1)). 0.18/0.53 fof(f357,plain,( 0.18/0.53 spl4_40), 0.18/0.53 inference(avatar_split_clause,[],[f160,f355])). 0.18/0.53 fof(f160,plain,( 0.18/0.53 gt(n135300,n2)), 0.18/0.53 inference(cnf_transformation,[],[f85])). 0.18/0.53 fof(f85,axiom,( 0.18/0.53 gt(n135300,n2)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_2)). 0.18/0.53 fof(f350,plain,( 0.18/0.53 spl4_38), 0.18/0.53 inference(avatar_split_clause,[],[f159,f348])). 0.18/0.53 fof(f159,plain,( 0.18/0.53 gt(n135300,n4)), 0.18/0.53 inference(cnf_transformation,[],[f58])). 0.18/0.53 fof(f58,axiom,( 0.18/0.53 gt(n135300,n4)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_4)). 0.18/0.53 fof(f343,plain,( 0.18/0.53 spl4_36), 0.18/0.53 inference(avatar_split_clause,[],[f158,f341])). 0.18/0.53 fof(f158,plain,( 0.18/0.53 gt(n135300,n5)), 0.18/0.53 inference(cnf_transformation,[],[f79])). 0.18/0.53 fof(f79,axiom,( 0.18/0.53 gt(n135300,n5)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_5)). 0.18/0.53 fof(f336,plain,( 0.18/0.53 spl4_34), 0.18/0.53 inference(avatar_split_clause,[],[f157,f334])). 0.18/0.53 fof(f157,plain,( 0.18/0.53 gt(n135300,n1)), 0.18/0.53 inference(cnf_transformation,[],[f75])). 0.18/0.53 fof(f75,axiom,( 0.18/0.53 gt(n135300,n1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_1)). 0.18/0.53 fof(f329,plain,( 0.18/0.53 spl4_32), 0.18/0.53 inference(avatar_split_clause,[],[f156,f327])). 0.18/0.53 fof(f156,plain,( 0.18/0.53 gt(n135300,n0)), 0.18/0.53 inference(cnf_transformation,[],[f60])). 0.18/0.53 fof(f60,axiom,( 0.18/0.53 gt(n135300,n0)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_135300_0)). 0.18/0.53 fof(f322,plain,( 0.18/0.53 spl4_30), 0.18/0.53 inference(avatar_split_clause,[],[f155,f320])). 0.18/0.53 fof(f155,plain,( 0.18/0.53 gt(n1,n0)), 0.18/0.53 inference(cnf_transformation,[],[f87])). 0.18/0.53 fof(f87,axiom,( 0.18/0.53 gt(n1,n0)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0)). 0.18/0.53 fof(f315,plain,( 0.18/0.53 spl4_28), 0.18/0.53 inference(avatar_split_clause,[],[f154,f313])). 0.18/0.53 fof(f154,plain,( 0.18/0.53 succ(n0) = n1), 0.18/0.53 inference(cnf_transformation,[],[f92])). 0.18/0.53 fof(f92,axiom,( 0.18/0.53 succ(n0) = n1), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1)). 0.18/0.53 fof(f308,plain,( 0.18/0.53 spl4_26), 0.18/0.53 inference(avatar_split_clause,[],[f150,f306])). 0.18/0.53 fof(f150,plain,( 0.18/0.53 gt(n5,n2)), 0.18/0.53 inference(cnf_transformation,[],[f88])). 0.18/0.53 fof(f88,axiom,( 0.18/0.53 gt(n5,n2)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2)). 0.18/0.53 fof(f301,plain,( 0.18/0.53 spl4_24), 0.18/0.53 inference(avatar_split_clause,[],[f149,f299])). 0.18/0.53 fof(f149,plain,( 0.18/0.53 gt(n5,n1)), 0.18/0.53 inference(cnf_transformation,[],[f53])). 0.18/0.53 fof(f53,axiom,( 0.18/0.53 gt(n5,n1)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1)). 0.18/0.53 fof(f294,plain,( 0.18/0.53 spl4_22), 0.18/0.53 inference(avatar_split_clause,[],[f148,f292])). 0.18/0.53 fof(f148,plain,( 0.18/0.53 gt(n5,n3)), 0.18/0.53 inference(cnf_transformation,[],[f93])). 0.18/0.53 fof(f93,axiom,( 0.18/0.53 gt(n5,n3)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3)). 0.18/0.53 fof(f287,plain,( 0.18/0.53 spl4_20), 0.18/0.53 inference(avatar_split_clause,[],[f147,f285])). 0.18/0.53 fof(f147,plain,( 0.18/0.53 gt(n5,n4)), 0.18/0.53 inference(cnf_transformation,[],[f80])). 0.18/0.53 fof(f80,axiom,( 0.18/0.53 gt(n5,n4)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4)). 0.18/0.53 fof(f280,plain,( 0.18/0.53 spl4_18), 0.18/0.53 inference(avatar_split_clause,[],[f146,f278])). 0.18/0.53 fof(f146,plain,( 0.18/0.53 gt(n5,n0)), 0.18/0.53 inference(cnf_transformation,[],[f59])). 0.18/0.53 fof(f59,axiom,( 0.18/0.53 gt(n5,n0)), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0)). 0.18/0.53 fof(f273,plain,( 0.18/0.53 spl4_16), 0.18/0.53 inference(avatar_split_clause,[],[f145,f271])). 0.18/0.53 fof(f145,plain,( 0.18/0.53 succ(succ(succ(succ(succ(n0))))) = n5), 0.18/0.53 inference(cnf_transformation,[],[f64])). 0.18/0.53 fof(f64,axiom,( 0.18/0.53 succ(succ(succ(succ(succ(n0))))) = n5), 0.18/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5)). 0.18/0.53 fof(f266,plain,( 0.18/0.53 ~spl4_1 | spl4_10 | ~spl4_15 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f131,f216,f262,f246,f209])). 0.18/0.53 fof(f209,plain,( 0.18/0.53 spl4_1 <=> ~leq(pv10,minus(n135300,n1))), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_1])])). 0.18/0.53 fof(f216,plain,( 0.18/0.53 spl4_3 <=> ~leq(n0,pv10)), 0.18/0.53 introduced(avatar_definition,[new_symbols(naming,[spl4_3])])). 0.18/0.53 fof(f131,plain,( 0.18/0.53 ~leq(n0,pv10) | a_select3(q,pv10,sK0) != divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10)))))) | leq(sK2,minus(pv10,n1)) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f265,plain,( 0.18/0.53 ~spl4_1 | spl4_8 | ~spl4_15 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f132,f216,f262,f239,f209])). 0.18/0.53 fof(f132,plain,( 0.18/0.53 ~leq(n0,pv10) | a_select3(q,pv10,sK0) != divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10)))))) | leq(n0,sK2) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f264,plain,( 0.18/0.53 ~spl4_1 | ~spl4_5 | ~spl4_15 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f133,f216,f262,f226,f209])). 0.18/0.53 fof(f133,plain,( 0.18/0.53 ~leq(n0,pv10) | a_select3(q,pv10,sK0) != divide(sqrt(times(minus(a_select3(center,sK0,n0),a_select2(x,pv10)),minus(a_select3(center,sK0,n0),a_select2(x,pv10)))),sum(n0,minus(n5,n1),sqrt(times(minus(a_select3(center,sK1,n0),a_select2(x,pv10)),minus(a_select3(center,sK1,n0),a_select2(x,pv10)))))) | n1 != sum(n0,minus(n5,n1),a_select3(q,sK2,sK3)) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f257,plain,( 0.18/0.53 ~spl4_1 | spl4_10 | spl4_12 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f134,f216,f253,f246,f209])). 0.18/0.53 fof(f134,plain,( 0.18/0.53 ~leq(n0,pv10) | leq(sK0,minus(n0,n1)) | leq(sK2,minus(pv10,n1)) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f256,plain,( 0.18/0.53 ~spl4_1 | spl4_8 | spl4_12 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f135,f216,f253,f239,f209])). 0.18/0.53 fof(f135,plain,( 0.18/0.53 ~leq(n0,pv10) | leq(sK0,minus(n0,n1)) | leq(n0,sK2) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f255,plain,( 0.18/0.53 ~spl4_1 | ~spl4_5 | spl4_12 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f136,f216,f253,f226,f209])). 0.18/0.53 fof(f136,plain,( 0.18/0.53 ~leq(n0,pv10) | leq(sK0,minus(n0,n1)) | n1 != sum(n0,minus(n5,n1),a_select3(q,sK2,sK3)) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f248,plain,( 0.18/0.53 ~spl4_1 | spl4_10 | spl4_6 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f137,f216,f232,f246,f209])). 0.18/0.53 fof(f137,plain,( 0.18/0.53 ~leq(n0,pv10) | leq(n0,sK0) | leq(sK2,minus(pv10,n1)) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f241,plain,( 0.18/0.53 ~spl4_1 | spl4_8 | spl4_6 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f138,f216,f232,f239,f209])). 0.18/0.53 fof(f138,plain,( 0.18/0.53 ~leq(n0,pv10) | leq(n0,sK0) | leq(n0,sK2) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f234,plain,( 0.18/0.53 ~spl4_1 | ~spl4_5 | spl4_6 | ~spl4_3), 0.18/0.53 inference(avatar_split_clause,[],[f139,f216,f232,f226,f209])). 0.18/0.53 fof(f139,plain,( 0.18/0.53 ~leq(n0,pv10) | leq(n0,sK0) | n1 != sum(n0,minus(n5,n1),a_select3(q,sK2,sK3)) | ~leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f221,plain,( 0.18/0.53 spl4_2), 0.18/0.53 inference(avatar_split_clause,[],[f141,f219])). 0.18/0.53 fof(f141,plain,( 0.18/0.53 leq(n0,pv10)), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 fof(f214,plain,( 0.18/0.53 spl4_0), 0.18/0.53 inference(avatar_split_clause,[],[f142,f212])). 0.18/0.53 fof(f142,plain,( 0.18/0.53 leq(pv10,minus(n135300,n1))), 0.18/0.53 inference(cnf_transformation,[],[f108])). 0.18/0.53 % SZS output end Proof for theBenchmark 0.18/0.53 % ------------------------------ 0.18/0.53 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.18/0.53 % Termination reason: Refutation 0.18/0.53 0.18/0.53 % Memory used [KB]: 1535 0.18/0.53 % Time elapsed: 0.125 s 0.18/0.53 % ------------------------------ 0.18/0.53 % ------------------------------ 0.18/0.53 % Success in time 0.189 s 0.18/0.53 EOF