0.03/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.13/0.34 % Computer : n012.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 300 0.13/0.34 % WCLimit : 300 0.13/0.34 % DateTime : Fri Jul 5 04:22:09 EDT 2024 0.13/0.35 % CPUTime : 0.13/0.37 This is a TFF_ problem 0.22/0.38 Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.38 % (20332)Running in auto input_syntax mode. Trying TPTP 0.22/0.46 % (20334)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on theBenchmark for (1034ds/0Mi) 0.23/0.47 % (20337)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi) 0.23/0.47 % (20338)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on theBenchmark for (408ds/0Mi) 0.23/0.48 % (20336)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on theBenchmark for (476ds/0Mi) 0.23/0.48 % (20335)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on theBenchmark for (572ds/0Mi) 0.23/0.48 % (20340)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on theBenchmark for (280ds/0Mi) 0.23/0.48 % (20339)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi) 3.42/0.93 % (20338)First to succeed. 3.98/0.96 % (20338)Refutation found. Thanks to Tanya! 3.98/0.96 % SZS status Theorem for theBenchmark 3.98/0.96 % SZS output start Proof for theBenchmark 3.98/0.96 tff(type_def_5, type, uni: $tType). 3.98/0.96 tff(type_def_6, type, ty: $tType). 3.98/0.96 tff(type_def_7, type, bool: $tType). 3.98/0.96 tff(type_def_8, type, tuple0: $tType). 3.98/0.96 tff(type_def_9, type, map_int_int: $tType). 3.98/0.96 tff(func_def_0, type, witness: ty > uni). 3.98/0.96 tff(func_def_1, type, int: ty). 3.98/0.96 tff(func_def_2, type, real: ty). 3.98/0.96 tff(func_def_3, type, bool1: ty). 3.98/0.96 tff(func_def_4, type, true: bool). 3.98/0.96 tff(func_def_5, type, false: bool). 3.98/0.96 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 3.98/0.96 tff(func_def_7, type, tuple01: ty). 3.98/0.96 tff(func_def_8, type, tuple02: tuple0). 3.98/0.96 tff(func_def_9, type, qtmark: ty). 3.98/0.96 tff(func_def_10, type, ref: ty > ty). 3.98/0.96 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 3.98/0.96 tff(func_def_12, type, contents: (ty * uni) > uni). 3.98/0.96 tff(func_def_13, type, map: (ty * ty) > ty). 3.98/0.96 tff(func_def_14, type, get: (ty * ty * uni * uni) > uni). 3.98/0.96 tff(func_def_15, type, set: (ty * ty * uni * uni * uni) > uni). 3.98/0.96 tff(func_def_16, type, const: (ty * ty * uni) > uni). 3.98/0.96 tff(func_def_17, type, array: ty > ty). 3.98/0.96 tff(func_def_18, type, mk_array: (ty * $int * uni) > uni). 3.98/0.96 tff(func_def_19, type, length: (ty * uni) > $int). 3.98/0.96 tff(func_def_20, type, elts: (ty * uni) > uni). 3.98/0.96 tff(func_def_21, type, get1: (ty * uni * $int) > uni). 3.98/0.96 tff(func_def_22, type, t2tb: $int > uni). 3.98/0.96 tff(func_def_23, type, tb2t: uni > $int). 3.98/0.96 tff(func_def_24, type, set1: (ty * uni * $int * uni) > uni). 3.98/0.96 tff(func_def_25, type, make: (ty * $int * uni) > uni). 3.98/0.96 tff(func_def_26, type, n: $int). 3.98/0.96 tff(func_def_27, type, f: $int > $int). 3.98/0.96 tff(func_def_28, type, t2tb1: map_int_int > uni). 3.98/0.96 tff(func_def_29, type, tb2t1: uni > map_int_int). 3.98/0.96 tff(func_def_36, type, sK0: map_int_int). 3.98/0.96 tff(func_def_37, type, sK1: $int). 3.98/0.96 tff(func_def_38, type, sK2: map_int_int). 3.98/0.96 tff(func_def_39, type, sK3: map_int_int). 3.98/0.96 tff(func_def_40, type, sK4: $int). 3.98/0.96 tff(func_def_41, type, sK5: $int). 3.98/0.96 tff(func_def_42, type, sK6: $int). 3.98/0.96 tff(func_def_43, type, sK7: $int). 3.98/0.96 tff(func_def_44, type, sK8: $int). 3.98/0.96 tff(func_def_45, type, sK9: $int). 3.98/0.96 tff(func_def_46, type, sK10: ($int * $int) > $int). 3.98/0.96 tff(func_def_47, type, sK11: ($int * $int) > $int). 3.98/0.96 tff(func_def_48, type, sK12: ($int * $int) > $int). 3.98/0.96 tff(func_def_49, type, sF13: uni). 3.98/0.96 tff(func_def_50, type, sF14: uni). 3.98/0.96 tff(func_def_51, type, sF15: uni). 3.98/0.96 tff(func_def_52, type, sF16: $int). 3.98/0.96 tff(func_def_53, type, sF17: uni). 3.98/0.96 tff(func_def_54, type, sF18: uni). 3.98/0.96 tff(func_def_55, type, sF19: $int). 3.98/0.96 tff(func_def_56, type, sF20: uni). 3.98/0.96 tff(func_def_57, type, sF21: uni). 3.98/0.96 tff(func_def_58, type, sF22: uni). 3.98/0.96 tff(func_def_59, type, sF23: $int). 3.98/0.96 tff(func_def_60, type, sF24: $int). 3.98/0.96 tff(func_def_61, type, sF25: $int). 3.98/0.96 tff(func_def_62, type, sF26: uni). 3.98/0.96 tff(func_def_63, type, sF27: $int). 3.98/0.96 tff(func_def_64, type, sF28: $int). 3.98/0.96 tff(func_def_65, type, sF29: $int). 3.98/0.96 tff(func_def_66, type, sF30: $int). 3.98/0.96 tff(func_def_67, type, sF31: uni). 3.98/0.96 tff(func_def_68, type, sF32: uni). 3.98/0.96 tff(func_def_69, type, sF33: $int). 3.98/0.96 tff(func_def_70, type, sF34: uni). 3.98/0.96 tff(func_def_71, type, sF35: uni). 3.98/0.96 tff(func_def_72, type, sF36: $int). 3.98/0.96 tff(func_def_73, type, sF37: $int). 3.98/0.96 tff(func_def_74, type, sF38: uni). 3.98/0.96 tff(func_def_75, type, sF39: $int). 3.98/0.96 tff(func_def_76, type, sF40: $int). 3.98/0.96 tff(func_def_77, type, sF41: uni). 3.98/0.96 tff(func_def_78, type, sF42: uni). 3.98/0.96 tff(func_def_79, type, sF43: uni). 3.98/0.96 tff(func_def_80, type, sF44: map_int_int). 3.98/0.96 tff(func_def_87, type, '$inst46': $int). 3.98/0.96 tff(func_def_88, type, '$inst47': $int). 3.98/0.96 tff(func_def_89, type, '$inst48': $int). 3.98/0.96 tff(pred_def_1, type, sort: (ty * uni) > $o). 3.98/0.96 tff(pred_def_2, type, path: ($int * $int) > $o). 3.98/0.96 tff(pred_def_3, type, distance: ($int * $int) > $o). 3.98/0.96 tff(f2181,plain,( 3.98/0.96 $false), 3.98/0.96 inference(avatar_smt_refutation,[],[f281,f286,f291,f296,f301,f306,f311,f316,f321,f326,f331,f336,f341,f346,f351,f356,f361,f366,f371,f376,f453,f458,f463,f468,f474,f479,f485,f490,f495,f500,f505,f510,f515,f522,f529,f535,f540,f546,f551,f556,f561,f566,f571,f576,f581,f586,f591,f597,f608,f613,f629,f653,f658,f663,f668,f673,f678,f683,f700,f705,f710,f715,f727,f733,f738,f743,f748,f755,f760,f765,f770,f775,f780,f785,f790,f797,f804,f810,f819,f831,f960,f1068,f1138,f1149,f1160,f1172,f1181,f1190,f1199,f1211,f1221,f1232,f1239,f1250,f1257,f1266,f1278,f1288,f1307,f1400,f1402,f1408,f1410,f1412,f1415,f1417,f1420,f1423,f1425,f1427,f1429,f1431,f1433,f1504,f1512,f1531,f1543,f1559,f1567,f1577,f1583,f1592,f1612,f1617,f1626,f1640,f1651,f1657,f1667,f1672,f1679,f1692,f1708,f1727,f1753,f1760,f1767,f1772,f1784,f1793,f1799,f1806,f1828,f1836,f1850,f1855,f1862,f1879,f1892,f1900,f1908,f1913,f1936,f1941,f1946,f1953,f1958,f2036,f2048,f2055,f2066,f2074,f2080,f2085,f2090,f2101,f2109,f2115,f2120,f2127,f2152,f2180])). 3.98/0.96 tff(f2180,plain,( 3.98/0.96 ~spl45_193 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_70 | ~spl45_72 | ~spl45_118), 3.98/0.96 inference(avatar_split_clause,[],[f2173,f1536,f772,f762,f752,f697,f558,f548,f543,f537,f2177])). 3.98/0.96 tff(f2177,plain,( 3.98/0.96 spl45_193 <=> $less(sK9,sK5)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_193])])). 3.98/0.96 tff(f537,plain,( 3.98/0.96 spl45_37 <=> tb2t(sF15) = sF16), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_37])])). 3.98/0.96 tff(f543,plain,( 3.98/0.96 spl45_38 <=> t2tb(sK9) = sF17), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_38])])). 3.98/0.96 tff(f548,plain,( 3.98/0.96 spl45_39 <=> tb2t(sF18) = sF19), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_39])])). 3.98/0.96 tff(f558,plain,( 3.98/0.96 spl45_41 <=> t2tb(sK5) = sF21), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_41])])). 3.98/0.96 tff(f697,plain,( 3.98/0.96 spl45_59 <=> sF14 = get(int,int,sF20,sF21)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_59])])). 3.98/0.96 tff(f752,plain,( 3.98/0.96 spl45_68 <=> get(int,int,sF13,sF14) = sF15), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_68])])). 3.98/0.96 tff(f762,plain,( 3.98/0.96 spl45_70 <=> get(int,int,sF13,sF17) = sF18), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_70])])). 3.98/0.96 tff(f772,plain,( 3.98/0.96 spl45_72 <=> sK8 = tb2t(sF14)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_72])])). 3.98/0.96 tff(f1536,plain,( 3.98/0.96 spl45_118 <=> $less(0,sK5)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_118])])). 3.98/0.96 tff(f2173,plain,( 3.98/0.96 ~$less(sK9,sK5) | (~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_70 | ~spl45_72 | ~spl45_118)), 3.98/0.96 inference(global_subsumption,[],[f221,f153,f2172])). 3.98/0.96 tff(f2172,plain,( 3.98/0.96 $less(sF16,sF19) | ~$less(sK8,sK9) | ~$less(sK9,sK5) | (~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_70 | ~spl45_72 | ~spl45_118)), 3.98/0.96 inference(forward_demodulation,[],[f2171,f550])). 3.98/0.96 tff(f550,plain,( 3.98/0.96 tb2t(sF18) = sF19 | ~spl45_39), 3.98/0.96 inference(avatar_component_clause,[],[f548])). 3.98/0.96 tff(f2171,plain,( 3.98/0.96 $less(sF16,tb2t(sF18)) | ~$less(sK8,sK9) | ~$less(sK9,sK5) | (~spl45_37 | ~spl45_38 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_70 | ~spl45_72 | ~spl45_118)), 3.98/0.96 inference(forward_demodulation,[],[f2162,f764])). 3.98/0.96 tff(f764,plain,( 3.98/0.96 get(int,int,sF13,sF17) = sF18 | ~spl45_70), 3.98/0.96 inference(avatar_component_clause,[],[f762])). 3.98/0.96 tff(f2162,plain,( 3.98/0.96 $less(sF16,tb2t(get(int,int,sF13,sF17))) | ~$less(sK8,sK9) | ~$less(sK9,sK5) | (~spl45_37 | ~spl45_38 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_72 | ~spl45_118)), 3.98/0.96 inference(superposition,[],[f1552,f545])). 3.98/0.96 tff(f545,plain,( 3.98/0.96 t2tb(sK9) = sF17 | ~spl45_38), 3.98/0.96 inference(avatar_component_clause,[],[f543])). 3.98/0.96 tff(f1552,plain,( 3.98/0.96 ( ! [X3 : $int] : ($less(sF16,tb2t(get(int,int,sF13,t2tb(X3)))) | ~$less(sK8,X3) | ~$less(X3,sK5)) ) | (~spl45_37 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_72 | ~spl45_118)), 3.98/0.96 inference(subsumption_resolution,[],[f1117,f1537])). 3.98/0.96 tff(f1537,plain,( 3.98/0.96 $less(0,sK5) | ~spl45_118), 3.98/0.96 inference(avatar_component_clause,[],[f1536])). 3.98/0.96 tff(f1117,plain,( 3.98/0.96 ( ! [X3 : $int] : (~$less(sK8,X3) | $less(sF16,tb2t(get(int,int,sF13,t2tb(X3)))) | ~$less(X3,sK5) | ~$less(0,sK5)) ) | (~spl45_37 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_72)), 3.98/0.96 inference(global_subsumption,[],[f143,f1116])). 3.98/0.96 tff(f1116,plain,( 3.98/0.96 ( ! [X3 : $int] : (~$less(sK8,X3) | $less(sF16,tb2t(get(int,int,sF13,t2tb(X3)))) | ~$less(X3,sK5) | ~$less(0,sK5) | ~$less(sK5,sK4)) ) | (~spl45_37 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_72)), 3.98/0.96 inference(forward_demodulation,[],[f1115,f774])). 3.98/0.96 tff(f774,plain,( 3.98/0.96 sK8 = tb2t(sF14) | ~spl45_72), 3.98/0.96 inference(avatar_component_clause,[],[f772])). 3.98/0.96 tff(f1115,plain,( 3.98/0.96 ( ! [X3 : $int] : (~$less(tb2t(sF14),X3) | $less(sF16,tb2t(get(int,int,sF13,t2tb(X3)))) | ~$less(X3,sK5) | ~$less(0,sK5) | ~$less(sK5,sK4)) ) | (~spl45_37 | ~spl45_41 | ~spl45_59 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f1114,f699])). 3.98/0.96 tff(f699,plain,( 3.98/0.96 sF14 = get(int,int,sF20,sF21) | ~spl45_59), 3.98/0.96 inference(avatar_component_clause,[],[f697])). 3.98/0.96 tff(f1114,plain,( 3.98/0.96 ( ! [X3 : $int] : ($less(sF16,tb2t(get(int,int,sF13,t2tb(X3)))) | ~$less(tb2t(get(int,int,sF20,sF21)),X3) | ~$less(X3,sK5) | ~$less(0,sK5) | ~$less(sK5,sK4)) ) | (~spl45_37 | ~spl45_41 | ~spl45_59 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f1113,f539])). 3.98/0.96 tff(f539,plain,( 3.98/0.96 tb2t(sF15) = sF16 | ~spl45_37), 3.98/0.96 inference(avatar_component_clause,[],[f537])). 3.98/0.96 tff(f1113,plain,( 3.98/0.96 ( ! [X3 : $int] : ($less(tb2t(sF15),tb2t(get(int,int,sF13,t2tb(X3)))) | ~$less(tb2t(get(int,int,sF20,sF21)),X3) | ~$less(X3,sK5) | ~$less(0,sK5) | ~$less(sK5,sK4)) ) | (~spl45_41 | ~spl45_59 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f1112,f754])). 3.98/0.96 tff(f754,plain,( 3.98/0.96 get(int,int,sF13,sF14) = sF15 | ~spl45_68), 3.98/0.96 inference(avatar_component_clause,[],[f752])). 3.98/0.96 tff(f1112,plain,( 3.98/0.96 ( ! [X3 : $int] : ($less(tb2t(get(int,int,sF13,sF14)),tb2t(get(int,int,sF13,t2tb(X3)))) | ~$less(tb2t(get(int,int,sF20,sF21)),X3) | ~$less(X3,sK5) | ~$less(0,sK5) | ~$less(sK5,sK4)) ) | (~spl45_41 | ~spl45_59)), 3.98/0.96 inference(forward_demodulation,[],[f1091,f699])). 3.98/0.96 tff(f1091,plain,( 3.98/0.96 ( ! [X3 : $int] : ($less(tb2t(get(int,int,sF13,get(int,int,sF20,sF21))),tb2t(get(int,int,sF13,t2tb(X3)))) | ~$less(tb2t(get(int,int,sF20,sF21)),X3) | ~$less(X3,sK5) | ~$less(0,sK5) | ~$less(sK5,sK4)) ) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f245,f560])). 3.98/0.96 tff(f560,plain,( 3.98/0.96 t2tb(sK5) = sF21 | ~spl45_41), 3.98/0.96 inference(avatar_component_clause,[],[f558])). 3.98/0.96 tff(f245,plain,( 3.98/0.96 ( ! [X11 : $int,X12 : $int] : ($less(tb2t(get(int,int,sF13,get(int,int,sF20,t2tb(X11)))),tb2t(get(int,int,sF13,t2tb(X12)))) | ~$less(tb2t(get(int,int,sF20,t2tb(X11))),X12) | ~$less(X12,X11) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(definition_folding,[],[f137,f222,f214,f222,f214])). 3.98/0.96 tff(f214,plain,( 3.98/0.96 t2tb1(sK2) = sF13), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f222,plain,( 3.98/0.96 t2tb1(sK3) = sF20), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f137,plain,( 3.98/0.96 ( ! [X11 : $int,X12 : $int] : ($less(tb2t(get(int,int,t2tb1(sK2),get(int,int,t2tb1(sK3),t2tb(X11)))),tb2t(get(int,int,t2tb1(sK2),t2tb(X12)))) | ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),X12) | ~$less(X12,X11) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f116,plain,( 3.98/0.96 ((((((~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK8))),tb2t(get(int,int,t2tb1(sK2),t2tb(sK9)))) & $less(sK9,sK4) & $less(sK8,sK9)) & tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))) = sK8) & $less(sK5,n) & ~$less(sK5,0) & $sum(sK6,1) = sK7) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))),f(sK4)) & ~$less(n,0) & ~$less(sK5,0) & $less(sK5,n) & ~$less(sK5,f(sK4)) & $less(sK5,sK4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK5))),tb2t(get(int,int,t2tb1(sK2),t2tb(X10)))) | ~$less(X10,sK4) | ~$less(sK5,X10)) & ~$less($sum(sK4,$uminus(1)),$sum(sK6,tb2t(get(int,int,t2tb1(sK2),t2tb(sK5)))))) & $uminus(1) = tb2t(get(int,int,t2tb1(sK3),t2tb(0))) & ! [X11 : $int] : ((~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),f(X11)) & $less(0,tb2t(get(int,int,t2tb1(sK2),t2tb(X11)))) & ! [X12 : $int] : ($less(tb2t(get(int,int,t2tb1(sK2),get(int,int,t2tb1(sK3),t2tb(X11)))),tb2t(get(int,int,t2tb1(sK2),t2tb(X12)))) | ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),X12) | ~$less(X12,X11)) & tb2t(get(int,int,t2tb1(sK2),t2tb(X11))) = $sum(tb2t(get(int,int,t2tb1(sK2),get(int,int,t2tb1(sK3),t2tb(X11)))),1) & $less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),X11) & $less(tb2t(get(int,int,t2tb1(sK3),get(int,int,t2tb1(sK3),t2tb(X11)))),f(X11))) | ~$less(0,X11) | ~$less(X11,sK4)) & ! [X13 : $int] : (path(tb2t(get(int,int,t2tb1(sK2),t2tb(X13))),X13) | ~$less(X13,sK4) | $less(X13,0)) & ~$less($sum(sK4,$uminus(1)),$sum(sK1,tb2t(get(int,int,t2tb1(sK2),t2tb($sum(sK4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(sK2),t2tb(0))) & ~$less($sum(n,$uminus(1)),sK4) & ~$less(sK4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = sK0 & ~$less(n,0)) & $less(0,n) & ~$less(0,0) & ~$less(n,0) & ~$less(n,0)), 3.98/0.96 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f109,f115,f114,f113,f112,f111,f110])). 3.98/0.96 tff(f110,plain,( 3.98/0.96 ? [X0 : map_int_int] : (? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X5 : $int,X6 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X9)))) & $less(X9,X4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X4)) & ~$less(n,0) & ~$less(X5,0) & $less(X5,n) & ~$less(X5,f(X4)) & $less(X5,X4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X5,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))))) & tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X11 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),f(X11)) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X11)))) & ! [X12 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X11)))),tb2t(get(int,int,t2tb1(X2),t2tb(X12)))) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),X12) | ~$less(X12,X11)) & tb2t(get(int,int,t2tb1(X2),t2tb(X11))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X11)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),X11) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X11)))),f(X11))) | ~$less(0,X11) | ~$less(X11,X4)) & ! [X13 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X13))),X13) | ~$less(X13,X4) | $less(X13,0)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) => (? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X5 : $int,X6 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X9)))) & $less(X9,X4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X4)) & ~$less(n,0) & ~$less(X5,0) & $less(X5,n) & ~$less(X5,f(X4)) & $less(X5,X4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X5,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))))) & tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X11 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),f(X11)) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X11)))) & ! [X12 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X11)))),tb2t(get(int,int,t2tb1(X2),t2tb(X12)))) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),X12) | ~$less(X12,X11)) & tb2t(get(int,int,t2tb1(X2),t2tb(X11))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X11)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),X11) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X11)))),f(X11))) | ~$less(0,X11) | ~$less(X11,X4)) & ! [X13 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X13))),X13) | ~$less(X13,X4) | $less(X13,0)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = sK0 & ~$less(n,0))), 3.98/0.96 introduced(choice_axiom,[])). 3.98/0.96 tff(f111,plain,( 3.98/0.96 ? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X5 : $int,X6 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X9)))) & $less(X9,X4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X4)) & ~$less(n,0) & ~$less(X5,0) & $less(X5,n) & ~$less(X5,f(X4)) & $less(X5,X4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X5,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))))) & tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X11 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),f(X11)) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X11)))) & ! [X12 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X11)))),tb2t(get(int,int,t2tb1(X2),t2tb(X12)))) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),X12) | ~$less(X12,X11)) & tb2t(get(int,int,t2tb1(X2),t2tb(X11))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X11)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),X11) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X11)))),f(X11))) | ~$less(0,X11) | ~$less(X11,X4)) & ! [X13 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X13))),X13) | ~$less(X13,X4) | $less(X13,0)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) => (? [X6 : $int,X5 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(X8))),tb2t(get(int,int,t2tb1(sK2),t2tb(X9)))) & $less(X9,sK4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X5))),f(sK4)) & ~$less(n,0) & ~$less(X5,0) & $less(X5,n) & ~$less(X5,f(sK4)) & $less(X5,sK4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK2),t2tb(X5))),tb2t(get(int,int,t2tb1(sK2),t2tb(X10)))) | ~$less(X10,sK4) | ~$less(X5,X10)) & ~$less($sum(sK4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(sK2),t2tb(X5)))))) & $uminus(1) = tb2t(get(int,int,t2tb1(sK3),t2tb(0))) & ! [X11 : $int] : ((~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),f(X11)) & $less(0,tb2t(get(int,int,t2tb1(sK2),t2tb(X11)))) & ! [X12 : $int] : ($less(tb2t(get(int,int,t2tb1(sK2),get(int,int,t2tb1(sK3),t2tb(X11)))),tb2t(get(int,int,t2tb1(sK2),t2tb(X12)))) | ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),X12) | ~$less(X12,X11)) & tb2t(get(int,int,t2tb1(sK2),t2tb(X11))) = $sum(tb2t(get(int,int,t2tb1(sK2),get(int,int,t2tb1(sK3),t2tb(X11)))),1) & $less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),X11) & $less(tb2t(get(int,int,t2tb1(sK3),get(int,int,t2tb1(sK3),t2tb(X11)))),f(X11))) | ~$less(0,X11) | ~$less(X11,sK4)) & ! [X13 : $int] : (path(tb2t(get(int,int,t2tb1(sK2),t2tb(X13))),X13) | ~$less(X13,sK4) | $less(X13,0)) & ~$less($sum(sK4,$uminus(1)),$sum(sK1,tb2t(get(int,int,t2tb1(sK2),t2tb($sum(sK4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(sK2),t2tb(0))) & ~$less($sum(n,$uminus(1)),sK4) & ~$less(sK4,1))), 3.98/0.96 introduced(choice_axiom,[])). 3.98/0.96 tff(f112,plain,( 3.98/0.96 ? [X6 : $int,X5 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(X8))),tb2t(get(int,int,t2tb1(sK2),t2tb(X9)))) & $less(X9,sK4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X5))),f(sK4)) & ~$less(n,0) & ~$less(X5,0) & $less(X5,n) & ~$less(X5,f(sK4)) & $less(X5,sK4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK2),t2tb(X5))),tb2t(get(int,int,t2tb1(sK2),t2tb(X10)))) | ~$less(X10,sK4) | ~$less(X5,X10)) & ~$less($sum(sK4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(sK2),t2tb(X5)))))) => (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(X8))),tb2t(get(int,int,t2tb1(sK2),t2tb(X9)))) & $less(X9,sK4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))) = X8) & $less(sK5,n) & ~$less(sK5,0) & $sum(sK6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))),f(sK4)) & ~$less(n,0) & ~$less(sK5,0) & $less(sK5,n) & ~$less(sK5,f(sK4)) & $less(sK5,sK4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK5))),tb2t(get(int,int,t2tb1(sK2),t2tb(X10)))) | ~$less(X10,sK4) | ~$less(sK5,X10)) & ~$less($sum(sK4,$uminus(1)),$sum(sK6,tb2t(get(int,int,t2tb1(sK2),t2tb(sK5))))))), 3.98/0.96 introduced(choice_axiom,[])). 3.98/0.96 tff(f113,plain,( 3.98/0.96 ? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(X8))),tb2t(get(int,int,t2tb1(sK2),t2tb(X9)))) & $less(X9,sK4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))) = X8) & $less(sK5,n) & ~$less(sK5,0) & $sum(sK6,1) = X7) => (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(X8))),tb2t(get(int,int,t2tb1(sK2),t2tb(X9)))) & $less(X9,sK4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))) = X8) & $less(sK5,n) & ~$less(sK5,0) & $sum(sK6,1) = sK7)), 3.98/0.96 introduced(choice_axiom,[])). 3.98/0.96 tff(f114,plain,( 3.98/0.96 ? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(X8))),tb2t(get(int,int,t2tb1(sK2),t2tb(X9)))) & $less(X9,sK4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))) = X8) => (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK8))),tb2t(get(int,int,t2tb1(sK2),t2tb(X9)))) & $less(X9,sK4) & $less(sK8,X9)) & tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))) = sK8)), 3.98/0.96 introduced(choice_axiom,[])). 3.98/0.96 tff(f115,plain,( 3.98/0.96 ? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK8))),tb2t(get(int,int,t2tb1(sK2),t2tb(X9)))) & $less(X9,sK4) & $less(sK8,X9)) => (~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK8))),tb2t(get(int,int,t2tb1(sK2),t2tb(sK9)))) & $less(sK9,sK4) & $less(sK8,sK9))), 3.98/0.96 introduced(choice_axiom,[])). 3.98/0.96 tff(f109,plain,( 3.98/0.96 ? [X0 : map_int_int] : (? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X5 : $int,X6 : $int] : (? [X7 : $int] : (? [X8 : $int] : (? [X9 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X9)))) & $less(X9,X4) & $less(X8,X9)) & tb2t(get(int,int,t2tb1(X3),t2tb(X5))) = X8) & $less(X5,n) & ~$less(X5,0) & $sum(X6,1) = X7) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X4)) & ~$less(n,0) & ~$less(X5,0) & $less(X5,n) & ~$less(X5,f(X4)) & $less(X5,X4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X5,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X6,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))))) & tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X11 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),f(X11)) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X11)))) & ! [X12 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X11)))),tb2t(get(int,int,t2tb1(X2),t2tb(X12)))) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),X12) | ~$less(X12,X11)) & tb2t(get(int,int,t2tb1(X2),t2tb(X11))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X11)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X11))),X11) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X11)))),f(X11))) | ~$less(0,X11) | ~$less(X11,X4)) & ! [X13 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X13))),X13) | ~$less(X13,X4) | $less(X13,0)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) & $less(0,n) & ~$less(0,0) & ~$less(n,0) & ~$less(n,0)), 3.98/0.96 inference(rectify,[],[f90])). 3.98/0.96 tff(f90,plain,( 3.98/0.96 ? [X0 : map_int_int] : (? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (? [X8 : $int,X9 : $int] : (? [X11 : $int] : (? [X12 : $int] : (? [X13 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X12))),tb2t(get(int,int,t2tb1(X2),t2tb(X13)))) & $less(X13,X4) & $less(X12,X13)) & tb2t(get(int,int,t2tb1(X3),t2tb(X8))) = X12) & $less(X8,n) & ~$less(X8,0) & $sum(X9,1) = X11) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X8))),f(X4)) & ~$less(n,0) & ~$less(X8,0) & $less(X8,n) & ~$less(X8,f(X4)) & $less(X8,X4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | ~$less(X10,X4) | ~$less(X8,X10)) & ~$less($sum(X4,$uminus(1)),$sum(X9,tb2t(get(int,int,t2tb1(X2),t2tb(X8)))))) & tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X5 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X5)) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))) & ! [X6 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),tb2t(get(int,int,t2tb1(X2),t2tb(X6)))) | ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X6) | ~$less(X6,X5)) & tb2t(get(int,int,t2tb1(X2),t2tb(X5))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X5) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X5)))),f(X5))) | ~$less(0,X5) | ~$less(X5,X4)) & ! [X7 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X7))),X7) | ~$less(X7,X4) | $less(X7,0)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))) & ~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) & ~$less($sum(n,$uminus(1)),1) & ~$less(n,0) & ~$less(n,0) & tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) & $less(0,n) & ~$less(0,0) & ~$less(n,0) & ~$less(n,0)), 3.98/0.96 inference(flattening,[],[f89])). 3.98/0.96 tff(f89,plain,( 3.98/0.96 ((? [X0 : map_int_int] : ((((? [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : ((? [X8 : $int,X9 : $int] : (((? [X11 : $int] : ((? [X12 : $int] : (? [X13 : $int] : (~$less(tb2t(get(int,int,t2tb1(X2),t2tb(X12))),tb2t(get(int,int,t2tb1(X2),t2tb(X13)))) & ($less(X13,X4) & $less(X12,X13))) & tb2t(get(int,int,t2tb1(X3),t2tb(X8))) = X12) & ($less(X8,n) & ~$less(X8,0))) & $sum(X9,1) = X11) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X8))),f(X4))) & (~$less(n,0) & ~$less(X8,0) & $less(X8,n))) & (~$less(X8,f(X4)) & $less(X8,X4) & ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X10)))) | (~$less(X10,X4) | ~$less(X8,X10))) & ~$less($sum(X4,$uminus(1)),$sum(X9,tb2t(get(int,int,t2tb1(X2),t2tb(X8))))))) & (tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X5 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X5)) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))) & ! [X6 : $int] : ($less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),tb2t(get(int,int,t2tb1(X2),t2tb(X6)))) | (~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X6) | ~$less(X6,X5))) & tb2t(get(int,int,t2tb1(X2),t2tb(X5))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X5) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X5)))),f(X5))) | (~$less(0,X5) | ~$less(X5,X4))) & ! [X7 : $int] : (path(tb2t(get(int,int,t2tb1(X2),t2tb(X7))),X7) | (~$less(X7,X4) | $less(X7,0))) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0))))) & (~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1))) & ~$less($sum(n,$uminus(1)),1)) & ~$less(n,0)) & ~$less(n,0)) & (tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0))) & ($less(0,n) & ~$less(0,0))) & ~$less(n,0)) & ~$less(n,0)), 3.98/0.96 inference(ennf_transformation,[],[f50])). 3.98/0.96 tff(f50,plain,( 3.98/0.96 ~(~$less(n,0) => (~$less(n,0) => (($less(0,n) & ~$less(0,0)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) => (~$less(n,0) => (~$less(n,0) => (~$less($sum(n,$uminus(1)),1) => ! [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : ((~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) => ((tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X5 : $int] : (($less(0,X5) & $less(X5,X4)) => (~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X5)) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))) & ! [X6 : $int] : (($less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X6) & $less(X6,X5)) => $less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),tb2t(get(int,int,t2tb1(X2),t2tb(X6))))) & tb2t(get(int,int,t2tb1(X2),t2tb(X5))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X5) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X5)))),f(X5)))) & ! [X7 : $int] : (($less(X7,X4) & ~$less(X7,0)) => path(tb2t(get(int,int,t2tb1(X2),t2tb(X7))),X7)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0)))) => ! [X8 : $int,X9 : $int] : ((~$less(X8,f(X4)) & $less(X8,X4) & ! [X10 : $int] : (($less(X10,X4) & $less(X8,X10)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X8))),tb2t(get(int,int,t2tb1(X2),t2tb(X10))))) & ~$less($sum(X4,$uminus(1)),$sum(X9,tb2t(get(int,int,t2tb1(X2),t2tb(X8)))))) => ((~$less(n,0) & ~$less(X8,0) & $less(X8,n)) => (~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X8))),f(X4)) => ! [X11 : $int] : ($sum(X9,1) = X11 => (($less(X8,n) & ~$less(X8,0)) => ! [X12 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X8))) = X12 => ! [X13 : $int] : (($less(X13,X4) & $less(X12,X13)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X12))),tb2t(get(int,int,t2tb1(X2),t2tb(X13))))))))))))))))))))), 3.98/0.96 inference(rectify,[],[f44])). 3.98/0.96 tff(f44,plain,( 3.98/0.96 ~(~$less(n,0) => (~$less(n,0) => (($less(0,n) & ~$less(0,0)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & ~$less(n,0)) => (~$less(n,0) => (~$less(n,0) => (~$less($sum(n,$uminus(1)),1) => ! [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : ((~$less($sum(n,$uminus(1)),X4) & ~$less(X4,1)) => ((tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X5 : $int] : (($less(0,X5) & $less(X5,X4)) => (~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),f(X5)) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))) & ! [X6 : $int] : (($less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X6) & $less(X6,X5)) => $less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),tb2t(get(int,int,t2tb1(X2),t2tb(X6))))) & tb2t(get(int,int,t2tb1(X2),t2tb(X5))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X5) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X5)))),f(X5)))) & ! [X5 : $int] : (($less(X5,X4) & ~$less(X5,0)) => path(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),X5)) & ~$less($sum(X4,$uminus(1)),$sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($sum(X4,$uminus(1))))))) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0)))) => ! [X7 : $int,X8 : $int] : ((~$less(X7,f(X4)) & $less(X7,X4) & ! [X5 : $int] : (($less(X5,X4) & $less(X7,X5)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X7))),tb2t(get(int,int,t2tb1(X2),t2tb(X5))))) & ~$less($sum(X4,$uminus(1)),$sum(X8,tb2t(get(int,int,t2tb1(X2),t2tb(X7)))))) => ((~$less(n,0) & ~$less(X7,0) & $less(X7,n)) => (~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X7))),f(X4)) => ! [X9 : $int] : ($sum(X8,1) = X9 => (($less(X7,n) & ~$less(X7,0)) => ! [X10 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X7))) = X10 => ! [X5 : $int] : (($less(X5,X4) & $less(X10,X5)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X10))),tb2t(get(int,int,t2tb1(X2),t2tb(X5))))))))))))))))))))), 3.98/0.96 inference(theory_normalization,[],[f2])). 3.98/0.96 tff(f2,negated_conjecture,( 3.98/0.96 ~($lesseq(0,n) => ($lesseq(0,n) => (($less(0,n) & $lesseq(0,0)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & $lesseq(0,n)) => ($lesseq(0,n) => ($lesseq(0,n) => ($lesseq(1,$difference(n,1)) => ! [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (($lesseq(X4,$difference(n,1)) & $lesseq(1,X4)) => ((tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X5 : $int] : (($less(0,X5) & $less(X5,X4)) => ($lesseq(f(X5),tb2t(get(int,int,t2tb1(X3),t2tb(X5)))) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))) & ! [X6 : $int] : (($less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X6) & $less(X6,X5)) => $less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),tb2t(get(int,int,t2tb1(X2),t2tb(X6))))) & tb2t(get(int,int,t2tb1(X2),t2tb(X5))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X5) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X5)))),f(X5)))) & ! [X5 : $int] : (($less(X5,X4) & $lesseq(0,X5)) => path(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),X5)) & $lesseq($sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($difference(X4,1))))),$difference(X4,1)) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0)))) => ! [X7 : $int,X8 : $int] : (($lesseq(f(X4),X7) & $less(X7,X4) & ! [X5 : $int] : (($less(X5,X4) & $less(X7,X5)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X7))),tb2t(get(int,int,t2tb1(X2),t2tb(X5))))) & $lesseq($sum(X8,tb2t(get(int,int,t2tb1(X2),t2tb(X7)))),$difference(X4,1))) => (($lesseq(0,n) & $lesseq(0,X7) & $less(X7,n)) => ($lesseq(f(X4),tb2t(get(int,int,t2tb1(X3),t2tb(X7)))) => ! [X9 : $int] : ($sum(X8,1) = X9 => (($less(X7,n) & $lesseq(0,X7)) => ! [X10 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X7))) = X10 => ! [X5 : $int] : (($less(X5,X4) & $less(X10,X5)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X10))),tb2t(get(int,int,t2tb1(X2),t2tb(X5))))))))))))))))))))), 3.98/0.96 inference(negated_conjecture,[],[f1])). 3.98/0.96 tff(f1,conjecture,( 3.98/0.96 $lesseq(0,n) => ($lesseq(0,n) => (($less(0,n) & $lesseq(0,0)) => ! [X0 : map_int_int] : ((tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = X0 & $lesseq(0,n)) => ($lesseq(0,n) => ($lesseq(0,n) => ($lesseq(1,$difference(n,1)) => ! [X1 : $int,X2 : map_int_int,X3 : map_int_int,X4 : $int] : (($lesseq(X4,$difference(n,1)) & $lesseq(1,X4)) => ((tb2t(get(int,int,t2tb1(X3),t2tb(0))) = $uminus(1) & ! [X5 : $int] : (($less(0,X5) & $less(X5,X4)) => ($lesseq(f(X5),tb2t(get(int,int,t2tb1(X3),t2tb(X5)))) & $less(0,tb2t(get(int,int,t2tb1(X2),t2tb(X5)))) & ! [X6 : $int] : (($less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X6) & $less(X6,X5)) => $less(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),tb2t(get(int,int,t2tb1(X2),t2tb(X6))))) & tb2t(get(int,int,t2tb1(X2),t2tb(X5))) = $sum(tb2t(get(int,int,t2tb1(X2),get(int,int,t2tb1(X3),t2tb(X5)))),1) & $less(tb2t(get(int,int,t2tb1(X3),t2tb(X5))),X5) & $less(tb2t(get(int,int,t2tb1(X3),get(int,int,t2tb1(X3),t2tb(X5)))),f(X5)))) & ! [X5 : $int] : (($less(X5,X4) & $lesseq(0,X5)) => path(tb2t(get(int,int,t2tb1(X2),t2tb(X5))),X5)) & $lesseq($sum(X1,tb2t(get(int,int,t2tb1(X2),t2tb($difference(X4,1))))),$difference(X4,1)) & 0 = tb2t(get(int,int,t2tb1(X2),t2tb(0)))) => ! [X7 : $int,X8 : $int] : (($lesseq(f(X4),X7) & $less(X7,X4) & ! [X5 : $int] : (($less(X5,X4) & $less(X7,X5)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X7))),tb2t(get(int,int,t2tb1(X2),t2tb(X5))))) & $lesseq($sum(X8,tb2t(get(int,int,t2tb1(X2),t2tb(X7)))),$difference(X4,1))) => (($lesseq(0,n) & $lesseq(0,X7) & $less(X7,n)) => ($lesseq(f(X4),tb2t(get(int,int,t2tb1(X3),t2tb(X7)))) => ! [X9 : $int] : ($sum(X8,1) = X9 => (($less(X7,n) & $lesseq(0,X7)) => ! [X10 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X7))) = X10 => ! [X5 : $int] : (($less(X5,X4) & $less(X10,X5)) => $less(tb2t(get(int,int,t2tb1(X2),t2tb(X10))),tb2t(get(int,int,t2tb1(X2),t2tb(X5)))))))))))))))))))), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_distance)). 3.98/0.96 tff(f143,plain,( 3.98/0.96 $less(sK5,sK4)), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f153,plain,( 3.98/0.96 $less(sK8,sK9)), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f221,plain,( 3.98/0.96 ~$less(sF16,sF19)), 3.98/0.96 inference(definition_folding,[],[f155,f220,f219,f218,f214,f217,f216,f215,f214])). 3.98/0.96 tff(f215,plain,( 3.98/0.96 t2tb(sK8) = sF14), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f216,plain,( 3.98/0.96 get(int,int,sF13,sF14) = sF15), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f217,plain,( 3.98/0.96 tb2t(sF15) = sF16), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f218,plain,( 3.98/0.96 t2tb(sK9) = sF17), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f219,plain,( 3.98/0.96 get(int,int,sF13,sF17) = sF18), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f220,plain,( 3.98/0.96 tb2t(sF18) = sF19), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f155,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK8))),tb2t(get(int,int,t2tb1(sK2),t2tb(sK9))))), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f2152,plain,( 3.98/0.96 ~spl45_192 | ~spl45_114), 3.98/0.96 inference(avatar_split_clause,[],[f2139,f1501,f2149])). 3.98/0.96 tff(f2149,plain,( 3.98/0.96 spl45_192 <=> sK8 = -1), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_192])])). 3.98/0.96 tff(f1501,plain,( 3.98/0.96 spl45_114 <=> path(sF16,sK8)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_114])])). 3.98/0.96 tff(f2139,plain,( 3.98/0.96 sK8 != -1 | ~spl45_114), 3.98/0.96 inference(constrained_resolution,[],[f1976,f1503])). 3.98/0.96 tff(f1503,plain,( 3.98/0.96 path(sF16,sK8) | ~spl45_114), 3.98/0.96 inference(avatar_component_clause,[],[f1501])). 3.98/0.96 tff(f1976,plain,( 3.98/0.96 ( ! [X0 : $int] : (~path(X0,-1)) )), 3.98/0.96 inference(interpreted_simplification,[],[f1975])). 3.98/0.96 tff(f1975,plain,( 3.98/0.96 ( ! [X0 : $int] : (~$less(-1,0) | 0 = -1 | ~path(X0,-1)) )), 3.98/0.96 inference(instantiation,[],[f844])). 3.98/0.96 tff(f844,plain,( 3.98/0.96 ( ! [X0 : $int,X1 : $int] : (~$less(X1,0) | 0 = X1 | ~path(X0,X1)) )), 3.98/0.96 inference(duplicate_literal_removal,[],[f843])). 3.98/0.96 tff(f843,plain,( 3.98/0.96 ( ! [X0 : $int,X1 : $int] : (~$less(X1,0) | 0 = X1 | ~path(X0,X1) | 0 = X1 | ~path(X0,X1)) )), 3.98/0.96 inference(superposition,[],[f181,f178])). 3.98/0.96 tff(f178,plain,( 3.98/0.96 ( ! [X0 : $int,X1 : $int] : (sK10(X0,X1) = X1 | 0 = X1 | ~path(X0,X1)) )), 3.98/0.96 inference(cnf_transformation,[],[f119])). 3.98/0.96 tff(f119,plain,( 3.98/0.96 ! [X0 : $int,X1 : $int] : ((0 = X0 & 0 = X1) | (~$less(sK10(X0,X1),0) & ($less(sK12(X0,X1),sK10(X0,X1)) & $sum(sK11(X0,X1),1) = X0 & sK10(X0,X1) = X1 & ~$less(sK12(X0,X1),f(sK10(X0,X1))) & path(sK11(X0,X1),sK12(X0,X1))) & $less(sK10(X0,X1),n)) | ~path(X0,X1))), 3.98/0.96 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f96,f118,f117])). 3.98/0.96 tff(f117,plain,( 3.98/0.96 ! [X0 : $int,X1 : $int] : (? [X2 : $int] : (~$less(X2,0) & ? [X3 : $int,X4 : $int] : ($less(X4,X2) & $sum(X3,1) = X0 & X1 = X2 & ~$less(X4,f(X2)) & path(X3,X4)) & $less(X2,n)) => (~$less(sK10(X0,X1),0) & ? [X4 : $int,X3 : $int] : ($less(X4,sK10(X0,X1)) & $sum(X3,1) = X0 & sK10(X0,X1) = X1 & ~$less(X4,f(sK10(X0,X1))) & path(X3,X4)) & $less(sK10(X0,X1),n)))), 3.98/0.96 introduced(choice_axiom,[])). 3.98/0.96 tff(f118,plain,( 3.98/0.96 ! [X0 : $int,X1 : $int] : (? [X4 : $int,X3 : $int] : ($less(X4,sK10(X0,X1)) & $sum(X3,1) = X0 & sK10(X0,X1) = X1 & ~$less(X4,f(sK10(X0,X1))) & path(X3,X4)) => ($less(sK12(X0,X1),sK10(X0,X1)) & $sum(sK11(X0,X1),1) = X0 & sK10(X0,X1) = X1 & ~$less(sK12(X0,X1),f(sK10(X0,X1))) & path(sK11(X0,X1),sK12(X0,X1))))), 3.98/0.96 introduced(choice_axiom,[])). 3.98/0.96 tff(f96,plain,( 3.98/0.96 ! [X0 : $int,X1 : $int] : ((0 = X0 & 0 = X1) | ? [X2 : $int] : (~$less(X2,0) & ? [X3 : $int,X4 : $int] : ($less(X4,X2) & $sum(X3,1) = X0 & X1 = X2 & ~$less(X4,f(X2)) & path(X3,X4)) & $less(X2,n)) | ~path(X0,X1))), 3.98/0.96 inference(flattening,[],[f95])). 3.98/0.96 tff(f95,plain,( 3.98/0.96 ! [X0 : $int,X1 : $int] : (((0 = X0 & 0 = X1) | ? [X2 : $int] : (~$less(X2,0) & ? [X3 : $int,X4 : $int] : ($less(X4,X2) & $sum(X3,1) = X0 & X1 = X2 & ~$less(X4,f(X2)) & path(X3,X4)) & $less(X2,n))) | ~path(X0,X1))), 3.98/0.96 inference(ennf_transformation,[],[f66])). 3.98/0.96 tff(f66,plain,( 3.98/0.96 ! [X0 : $int,X1 : $int] : (path(X0,X1) => ((0 = X0 & 0 = X1) | ? [X2 : $int] : (~$less(X2,0) & ? [X3 : $int,X4 : $int] : ($less(X4,X2) & $sum(X3,1) = X0 & X1 = X2 & ~$less(X4,f(X2)) & path(X3,X4)) & $less(X2,n))))), 3.98/0.96 inference(rectify,[],[f47])). 3.98/0.96 tff(f47,plain,( 3.98/0.96 ! [X25 : $int,X26 : $int] : (path(X25,X26) => ((0 = X25 & 0 = X26) | ? [X4 : $int] : (~$less(X4,0) & ? [X2 : $int,X7 : $int] : ($less(X7,X4) & $sum(X2,1) = X25 & X4 = X26 & ~$less(X7,f(X4)) & path(X2,X7)) & $less(X4,n))))), 3.98/0.96 inference(theory_normalization,[],[f36])). 3.98/0.96 tff(f36,axiom,( 3.98/0.96 ! [X25 : $int,X26 : $int] : (path(X25,X26) => ((0 = X25 & 0 = X26) | ? [X4 : $int] : ($lesseq(0,X4) & ? [X2 : $int,X7 : $int] : ($less(X7,X4) & $sum(X2,1) = X25 & X4 = X26 & $lesseq(f(X4),X7) & path(X2,X7)) & $less(X4,n))))), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_inversion)). 3.98/0.96 tff(f181,plain,( 3.98/0.96 ( ! [X0 : $int,X1 : $int] : (~$less(sK10(X0,X1),0) | 0 = X1 | ~path(X0,X1)) )), 3.98/0.96 inference(cnf_transformation,[],[f119])). 3.98/0.96 tff(f2127,plain,( 3.98/0.96 spl45_191 | ~spl45_178), 3.98/0.96 inference(avatar_split_clause,[],[f2038,f2029,f2124])). 3.98/0.96 tff(f2124,plain,( 3.98/0.96 spl45_191 <=> $less(tb2t(get(int,int,sF20,get(int,int,sF20,t2tb(1)))),f(1))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_191])])). 3.98/0.96 tff(f2029,plain,( 3.98/0.96 spl45_178 <=> $less(1,sK4)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_178])])). 3.98/0.96 tff(f2038,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,t2tb(1)))),f(1)) | ~spl45_178), 3.98/0.96 inference(subsumption_resolution,[],[f1016,f2030])). 3.98/0.96 tff(f2030,plain,( 3.98/0.96 $less(1,sK4) | ~spl45_178), 3.98/0.96 inference(avatar_component_clause,[],[f2029])). 3.98/0.96 tff(f1016,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,t2tb(1)))),f(1)) | ~$less(1,sK4)), 3.98/0.96 inference(interpreted_simplification,[],[f1015])). 3.98/0.96 tff(f1015,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,t2tb(1)))),f(1)) | ~$less(0,1) | ~$less(1,sK4)), 3.98/0.96 inference(instantiation,[],[f248])). 3.98/0.96 tff(f248,plain,( 3.98/0.96 ( ! [X11 : $int] : ($less(tb2t(get(int,int,sF20,get(int,int,sF20,t2tb(X11)))),f(X11)) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(definition_folding,[],[f134,f222,f222])). 3.98/0.96 tff(f134,plain,( 3.98/0.96 ( ! [X11 : $int] : ($less(tb2t(get(int,int,t2tb1(sK3),get(int,int,t2tb1(sK3),t2tb(X11)))),f(X11)) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f2120,plain,( 3.98/0.96 spl45_190 | ~spl45_36 | ~spl45_37 | ~spl45_68 | ~spl45_110 | ~spl45_129), 3.98/0.96 inference(avatar_split_clause,[],[f1926,f1619,f1281,f752,f537,f532,f2117])). 3.98/0.96 tff(f2117,plain,( 3.98/0.96 spl45_190 <=> sF16 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF14))),1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_190])])). 3.98/0.96 tff(f532,plain,( 3.98/0.96 spl45_36 <=> t2tb(sK8) = sF14), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_36])])). 3.98/0.96 tff(f1281,plain,( 3.98/0.96 spl45_110 <=> $less(sK8,sK4)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_110])])). 3.98/0.96 tff(f1619,plain,( 3.98/0.96 spl45_129 <=> $less(0,sK8)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_129])])). 3.98/0.96 tff(f1926,plain,( 3.98/0.96 sF16 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF14))),1) | (~spl45_36 | ~spl45_37 | ~spl45_68 | ~spl45_110 | ~spl45_129)), 3.98/0.96 inference(subsumption_resolution,[],[f1294,f1620])). 3.98/0.96 tff(f1620,plain,( 3.98/0.96 $less(0,sK8) | ~spl45_129), 3.98/0.96 inference(avatar_component_clause,[],[f1619])). 3.98/0.96 tff(f1294,plain,( 3.98/0.96 sF16 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF14))),1) | ~$less(0,sK8) | (~spl45_36 | ~spl45_37 | ~spl45_68 | ~spl45_110)), 3.98/0.96 inference(subsumption_resolution,[],[f1054,f1282])). 3.98/0.96 tff(f1282,plain,( 3.98/0.96 $less(sK8,sK4) | ~spl45_110), 3.98/0.96 inference(avatar_component_clause,[],[f1281])). 3.98/0.96 tff(f1054,plain,( 3.98/0.96 sF16 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF14))),1) | ~$less(0,sK8) | ~$less(sK8,sK4) | (~spl45_36 | ~spl45_37 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f1053,f539])). 3.98/0.96 tff(f1053,plain,( 3.98/0.96 tb2t(sF15) = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF14))),1) | ~$less(0,sK8) | ~$less(sK8,sK4) | (~spl45_36 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f1039,f754])). 3.98/0.96 tff(f1039,plain,( 3.98/0.96 tb2t(get(int,int,sF13,sF14)) = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF14))),1) | ~$less(0,sK8) | ~$less(sK8,sK4) | ~spl45_36), 3.98/0.96 inference(superposition,[],[f246,f534])). 3.98/0.96 tff(f534,plain,( 3.98/0.96 t2tb(sK8) = sF14 | ~spl45_36), 3.98/0.96 inference(avatar_component_clause,[],[f532])). 3.98/0.96 tff(f246,plain,( 3.98/0.96 ( ! [X11 : $int] : (tb2t(get(int,int,sF13,t2tb(X11))) = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,t2tb(X11)))),1) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(definition_folding,[],[f136,f222,f214,f214])). 3.98/0.96 tff(f136,plain,( 3.98/0.96 ( ! [X11 : $int] : (tb2t(get(int,int,t2tb1(sK2),t2tb(X11))) = $sum(tb2t(get(int,int,t2tb1(sK2),get(int,int,t2tb1(sK3),t2tb(X11)))),1) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f2115,plain,( 3.98/0.96 spl45_189 | ~spl45_38 | ~spl45_39 | ~spl45_70 | ~spl45_124), 3.98/0.96 inference(avatar_split_clause,[],[f1915,f1585,f762,f548,f543,f2112])). 3.98/0.96 tff(f2112,plain,( 3.98/0.96 spl45_189 <=> sF19 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF17))),1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_189])])). 3.98/0.96 tff(f1585,plain,( 3.98/0.96 spl45_124 <=> $less(0,sK9)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_124])])). 3.98/0.96 tff(f1915,plain,( 3.98/0.96 sF19 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF17))),1) | (~spl45_38 | ~spl45_39 | ~spl45_70 | ~spl45_124)), 3.98/0.96 inference(global_subsumption,[],[f1586,f1057])). 3.98/0.96 tff(f1057,plain,( 3.98/0.96 sF19 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF17))),1) | ~$less(0,sK9) | (~spl45_38 | ~spl45_39 | ~spl45_70)), 3.98/0.96 inference(global_subsumption,[],[f154,f1056])). 3.98/0.96 tff(f1056,plain,( 3.98/0.96 sF19 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF17))),1) | ~$less(0,sK9) | ~$less(sK9,sK4) | (~spl45_38 | ~spl45_39 | ~spl45_70)), 3.98/0.96 inference(forward_demodulation,[],[f1055,f550])). 3.98/0.96 tff(f1055,plain,( 3.98/0.96 tb2t(sF18) = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF17))),1) | ~$less(0,sK9) | ~$less(sK9,sK4) | (~spl45_38 | ~spl45_70)), 3.98/0.96 inference(forward_demodulation,[],[f1040,f764])). 3.98/0.96 tff(f1040,plain,( 3.98/0.96 tb2t(get(int,int,sF13,sF17)) = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF17))),1) | ~$less(0,sK9) | ~$less(sK9,sK4) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f246,f545])). 3.98/0.96 tff(f154,plain,( 3.98/0.96 $less(sK9,sK4)), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f1586,plain,( 3.98/0.96 $less(0,sK9) | ~spl45_124), 3.98/0.96 inference(avatar_component_clause,[],[f1585])). 3.98/0.96 tff(f2109,plain,( 3.98/0.96 spl45_188 | ~spl45_45 | ~spl45_46 | ~spl45_74 | ~spl45_143 | ~spl45_145), 3.98/0.96 inference(avatar_split_clause,[],[f1737,f1720,f1701,f782,f583,f578,f2106])). 3.98/0.96 tff(f2106,plain,( 3.98/0.96 spl45_188 <=> sF36 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF34))),1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_188])])). 3.98/0.96 tff(f578,plain,( 3.98/0.96 spl45_45 <=> t2tb(sF29) = sF34), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_45])])). 3.98/0.96 tff(f583,plain,( 3.98/0.96 spl45_46 <=> tb2t(sF35) = sF36), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_46])])). 3.98/0.96 tff(f782,plain,( 3.98/0.96 spl45_74 <=> get(int,int,sF13,sF34) = sF35), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_74])])). 3.98/0.96 tff(f1701,plain,( 3.98/0.96 spl45_143 <=> $less(sF29,sK4)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_143])])). 3.98/0.96 tff(f1720,plain,( 3.98/0.96 spl45_145 <=> $less(0,sF29)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_145])])). 3.98/0.96 tff(f1737,plain,( 3.98/0.96 sF36 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF34))),1) | (~spl45_45 | ~spl45_46 | ~spl45_74 | ~spl45_143 | ~spl45_145)), 3.98/0.96 inference(subsumption_resolution,[],[f1714,f1721])). 3.98/0.96 tff(f1721,plain,( 3.98/0.96 $less(0,sF29) | ~spl45_145), 3.98/0.96 inference(avatar_component_clause,[],[f1720])). 3.98/0.96 tff(f1714,plain,( 3.98/0.96 sF36 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF34))),1) | ~$less(0,sF29) | (~spl45_45 | ~spl45_46 | ~spl45_74 | ~spl45_143)), 3.98/0.96 inference(subsumption_resolution,[],[f1059,f1702])). 3.98/0.96 tff(f1702,plain,( 3.98/0.96 $less(sF29,sK4) | ~spl45_143), 3.98/0.96 inference(avatar_component_clause,[],[f1701])). 3.98/0.96 tff(f1059,plain,( 3.98/0.96 sF36 = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF34))),1) | ~$less(0,sF29) | ~$less(sF29,sK4) | (~spl45_45 | ~spl45_46 | ~spl45_74)), 3.98/0.96 inference(forward_demodulation,[],[f1058,f585])). 3.98/0.96 tff(f585,plain,( 3.98/0.96 tb2t(sF35) = sF36 | ~spl45_46), 3.98/0.96 inference(avatar_component_clause,[],[f583])). 3.98/0.96 tff(f1058,plain,( 3.98/0.96 tb2t(sF35) = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF34))),1) | ~$less(0,sF29) | ~$less(sF29,sK4) | (~spl45_45 | ~spl45_74)), 3.98/0.96 inference(forward_demodulation,[],[f1044,f784])). 3.98/0.96 tff(f784,plain,( 3.98/0.96 get(int,int,sF13,sF34) = sF35 | ~spl45_74), 3.98/0.96 inference(avatar_component_clause,[],[f782])). 3.98/0.96 tff(f1044,plain,( 3.98/0.96 tb2t(get(int,int,sF13,sF34)) = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF34))),1) | ~$less(0,sF29) | ~$less(sF29,sK4) | ~spl45_45), 3.98/0.96 inference(superposition,[],[f246,f580])). 3.98/0.96 tff(f580,plain,( 3.98/0.96 t2tb(sF29) = sF34 | ~spl45_45), 3.98/0.96 inference(avatar_component_clause,[],[f578])). 3.98/0.96 tff(f2101,plain,( 3.98/0.96 spl45_187 | spl45_84 | ~spl45_127), 3.98/0.96 inference(avatar_split_clause,[],[f1974,f1609,f1131,f2098])). 3.98/0.96 tff(f2098,plain,( 3.98/0.96 spl45_187 <=> $less(sK9,n)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_187])])). 3.98/0.96 tff(f1131,plain,( 3.98/0.96 spl45_84 <=> 0 = sK9), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_84])])). 3.98/0.96 tff(f1609,plain,( 3.98/0.96 spl45_127 <=> path(sF19,sK9)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_127])])). 3.98/0.96 tff(f1974,plain,( 3.98/0.96 $less(sK9,n) | (spl45_84 | ~spl45_127)), 3.98/0.96 inference(global_subsumption,[],[f1133,f1970])). 3.98/0.96 tff(f1970,plain,( 3.98/0.96 0 = sK9 | $less(sK9,n) | ~spl45_127), 3.98/0.96 inference(resolution,[],[f840,f1611])). 3.98/0.96 tff(f1611,plain,( 3.98/0.96 path(sF19,sK9) | ~spl45_127), 3.98/0.96 inference(avatar_component_clause,[],[f1609])). 3.98/0.96 tff(f840,plain,( 3.98/0.96 ( ! [X0 : $int,X1 : $int] : (~path(X0,X1) | 0 = X1 | $less(X1,n)) )), 3.98/0.96 inference(duplicate_literal_removal,[],[f839])). 3.98/0.96 tff(f839,plain,( 3.98/0.96 ( ! [X0 : $int,X1 : $int] : ($less(X1,n) | 0 = X1 | ~path(X0,X1) | 0 = X1 | ~path(X0,X1)) )), 3.98/0.96 inference(superposition,[],[f175,f178])). 3.98/0.96 tff(f175,plain,( 3.98/0.96 ( ! [X0 : $int,X1 : $int] : ($less(sK10(X0,X1),n) | 0 = X1 | ~path(X0,X1)) )), 3.98/0.96 inference(cnf_transformation,[],[f119])). 3.98/0.96 tff(f1133,plain,( 3.98/0.96 0 != sK9 | spl45_84), 3.98/0.96 inference(avatar_component_clause,[],[f1131])). 3.98/0.96 tff(f2090,plain,( 3.98/0.96 spl45_186 | spl45_106 | ~spl45_114), 3.98/0.96 inference(avatar_split_clause,[],[f1973,f1501,f1259,f2087])). 3.98/0.96 tff(f2087,plain,( 3.98/0.96 spl45_186 <=> $less(sK8,n)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_186])])). 3.98/0.96 tff(f1259,plain,( 3.98/0.96 spl45_106 <=> 0 = sK8), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_106])])). 3.98/0.96 tff(f1973,plain,( 3.98/0.96 $less(sK8,n) | (spl45_106 | ~spl45_114)), 3.98/0.96 inference(global_subsumption,[],[f1260,f1969])). 3.98/0.96 tff(f1969,plain,( 3.98/0.96 0 = sK8 | $less(sK8,n) | ~spl45_114), 3.98/0.96 inference(resolution,[],[f840,f1503])). 3.98/0.96 tff(f1260,plain,( 3.98/0.96 0 != sK8 | spl45_106), 3.98/0.96 inference(avatar_component_clause,[],[f1259])). 3.98/0.96 tff(f2085,plain,( 3.98/0.96 spl45_185 | ~spl45_36 | ~spl45_110 | ~spl45_129), 3.98/0.96 inference(avatar_split_clause,[],[f1927,f1619,f1281,f532,f2082])). 3.98/0.96 tff(f2082,plain,( 3.98/0.96 spl45_185 <=> $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF14))),f(sK8))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_185])])). 3.98/0.96 tff(f1927,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF14))),f(sK8)) | (~spl45_36 | ~spl45_110 | ~spl45_129)), 3.98/0.96 inference(subsumption_resolution,[],[f1293,f1620])). 3.98/0.96 tff(f1293,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF14))),f(sK8)) | ~$less(0,sK8) | (~spl45_36 | ~spl45_110)), 3.98/0.96 inference(subsumption_resolution,[],[f1021,f1282])). 3.98/0.96 tff(f1021,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF14))),f(sK8)) | ~$less(0,sK8) | ~$less(sK8,sK4) | ~spl45_36), 3.98/0.96 inference(superposition,[],[f248,f534])). 3.98/0.96 tff(f2080,plain,( 3.98/0.96 spl45_184 | ~spl45_38 | ~spl45_124), 3.98/0.96 inference(avatar_split_clause,[],[f1916,f1585,f543,f2077])). 3.98/0.96 tff(f2077,plain,( 3.98/0.96 spl45_184 <=> $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF17))),f(sK9))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_184])])). 3.98/0.96 tff(f1916,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF17))),f(sK9)) | (~spl45_38 | ~spl45_124)), 3.98/0.96 inference(global_subsumption,[],[f1586,f1033])). 3.98/0.96 tff(f1033,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF17))),f(sK9)) | ~$less(0,sK9) | ~spl45_38), 3.98/0.96 inference(global_subsumption,[],[f154,f1022])). 3.98/0.96 tff(f1022,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF17))),f(sK9)) | ~$less(0,sK9) | ~$less(sK9,sK4) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f248,f545])). 3.98/0.96 tff(f2074,plain,( 3.98/0.96 spl45_183 | ~spl45_45 | ~spl45_143 | ~spl45_145), 3.98/0.96 inference(avatar_split_clause,[],[f1736,f1720,f1701,f578,f2071])). 3.98/0.96 tff(f2071,plain,( 3.98/0.96 spl45_183 <=> $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF34))),f(sF29))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_183])])). 3.98/0.96 tff(f1736,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF34))),f(sF29)) | (~spl45_45 | ~spl45_143 | ~spl45_145)), 3.98/0.96 inference(subsumption_resolution,[],[f1713,f1721])). 3.98/0.96 tff(f1713,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF34))),f(sF29)) | ~$less(0,sF29) | (~spl45_45 | ~spl45_143)), 3.98/0.96 inference(subsumption_resolution,[],[f1026,f1702])). 3.98/0.96 tff(f1026,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF34))),f(sF29)) | ~$less(0,sF29) | ~$less(sF29,sK4) | ~spl45_45), 3.98/0.96 inference(superposition,[],[f248,f580])). 3.98/0.96 tff(f2066,plain,( 3.98/0.96 ~spl45_182 | ~spl45_178), 3.98/0.96 inference(avatar_split_clause,[],[f2039,f2029,f2063])). 3.98/0.96 tff(f2063,plain,( 3.98/0.96 spl45_182 <=> $less(tb2t(get(int,int,sF20,t2tb(1))),f(1))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_182])])). 3.98/0.96 tff(f2039,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,t2tb(1))),f(1)) | ~spl45_178), 3.98/0.96 inference(subsumption_resolution,[],[f942,f2030])). 3.98/0.96 tff(f942,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,t2tb(1))),f(1)) | ~$less(1,sK4)), 3.98/0.96 inference(interpreted_simplification,[],[f941])). 3.98/0.96 tff(f941,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,t2tb(1))),f(1)) | ~$less(0,1) | ~$less(1,sK4)), 3.98/0.96 inference(instantiation,[],[f243])). 3.98/0.96 tff(f243,plain,( 3.98/0.96 ( ! [X11 : $int] : (~$less(tb2t(get(int,int,sF20,t2tb(X11))),f(X11)) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(definition_folding,[],[f139,f222])). 3.98/0.96 tff(f139,plain,( 3.98/0.96 ( ! [X11 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),f(X11)) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f2055,plain,( 3.98/0.96 spl45_181 | ~spl45_178), 3.98/0.96 inference(avatar_split_clause,[],[f2040,f2029,f2052])). 3.98/0.96 tff(f2052,plain,( 3.98/0.96 spl45_181 <=> $less(tb2t(get(int,int,sF20,t2tb(1))),1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_181])])). 3.98/0.96 tff(f2040,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,t2tb(1))),1) | ~spl45_178), 3.98/0.96 inference(subsumption_resolution,[],[f903,f2030])). 3.98/0.96 tff(f903,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,t2tb(1))),1) | ~$less(1,sK4)), 3.98/0.96 inference(interpreted_simplification,[],[f902])). 3.98/0.96 tff(f902,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,t2tb(1))),1) | ~$less(0,1) | ~$less(1,sK4)), 3.98/0.96 inference(instantiation,[],[f247])). 3.98/0.96 tff(f247,plain,( 3.98/0.96 ( ! [X11 : $int] : ($less(tb2t(get(int,int,sF20,t2tb(X11))),X11) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(definition_folding,[],[f135,f222])). 3.98/0.96 tff(f135,plain,( 3.98/0.96 ( ! [X11 : $int] : ($less(tb2t(get(int,int,t2tb1(sK3),t2tb(X11))),X11) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f2048,plain,( 3.98/0.96 ~spl45_180 | spl45_2 | ~spl45_167), 3.98/0.96 inference(avatar_split_clause,[],[f1895,f1881,f283,f2045])). 3.98/0.96 tff(f2045,plain,( 3.98/0.96 spl45_180 <=> n = 1), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_180])])). 3.98/0.96 tff(f283,plain,( 3.98/0.96 spl45_2 <=> $less(sK4,1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_2])])). 3.98/0.96 tff(f1881,plain,( 3.98/0.96 spl45_167 <=> $less(sK4,n)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_167])])). 3.98/0.96 tff(f1895,plain,( 3.98/0.96 n != 1 | (spl45_2 | ~spl45_167)), 3.98/0.96 inference(constrained_resolution,[],[f1882,f285])). 3.98/0.96 tff(f285,plain,( 3.98/0.96 ~$less(sK4,1) | spl45_2), 3.98/0.96 inference(avatar_component_clause,[],[f283])). 3.98/0.96 tff(f1882,plain,( 3.98/0.96 $less(sK4,n) | ~spl45_167), 3.98/0.96 inference(avatar_component_clause,[],[f1881])). 3.98/0.96 tff(f2036,plain,( 3.98/0.96 ~spl45_178 | spl45_179), 3.98/0.96 inference(avatar_split_clause,[],[f884,f2033,f2029])). 3.98/0.96 tff(f2033,plain,( 3.98/0.96 spl45_179 <=> $less(0,tb2t(get(int,int,sF13,t2tb(1))))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_179])])). 3.98/0.96 tff(f884,plain,( 3.98/0.96 $less(0,tb2t(get(int,int,sF13,t2tb(1)))) | ~$less(1,sK4)), 3.98/0.96 inference(interpreted_simplification,[],[f883])). 3.98/0.96 tff(f883,plain,( 3.98/0.96 $less(0,tb2t(get(int,int,sF13,t2tb(1)))) | ~$less(0,1) | ~$less(1,sK4)), 3.98/0.96 inference(instantiation,[],[f244])). 3.98/0.96 tff(f244,plain,( 3.98/0.96 ( ! [X11 : $int] : ($less(0,tb2t(get(int,int,sF13,t2tb(X11)))) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(definition_folding,[],[f138,f214])). 3.98/0.96 tff(f138,plain,( 3.98/0.96 ( ! [X11 : $int] : ($less(0,tb2t(get(int,int,t2tb1(sK2),t2tb(X11)))) | ~$less(0,X11) | ~$less(X11,sK4)) )), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f1958,plain,( 3.98/0.96 ~spl45_177 | ~spl45_36 | ~spl45_110 | ~spl45_129), 3.98/0.96 inference(avatar_split_clause,[],[f1928,f1619,f1281,f532,f1955])). 3.98/0.96 tff(f1955,plain,( 3.98/0.96 spl45_177 <=> $less(tb2t(get(int,int,sF20,sF14)),f(sK8))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_177])])). 3.98/0.96 tff(f1928,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF14)),f(sK8)) | (~spl45_36 | ~spl45_110 | ~spl45_129)), 3.98/0.96 inference(subsumption_resolution,[],[f1292,f1620])). 3.98/0.96 tff(f1292,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF14)),f(sK8)) | ~$less(0,sK8) | (~spl45_36 | ~spl45_110)), 3.98/0.96 inference(subsumption_resolution,[],[f946,f1282])). 3.98/0.96 tff(f946,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF14)),f(sK8)) | ~$less(0,sK8) | ~$less(sK8,sK4) | ~spl45_36), 3.98/0.96 inference(superposition,[],[f243,f534])). 3.98/0.96 tff(f1953,plain,( 3.98/0.96 ~spl45_176 | ~spl45_38 | ~spl45_124), 3.98/0.96 inference(avatar_split_clause,[],[f1917,f1585,f543,f1950])). 3.98/0.96 tff(f1950,plain,( 3.98/0.96 spl45_176 <=> $less(tb2t(get(int,int,sF20,sF17)),f(sK9))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_176])])). 3.98/0.96 tff(f1917,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF17)),f(sK9)) | (~spl45_38 | ~spl45_124)), 3.98/0.96 inference(global_subsumption,[],[f1586,f955])). 3.98/0.96 tff(f955,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF17)),f(sK9)) | ~$less(0,sK9) | ~spl45_38), 3.98/0.96 inference(global_subsumption,[],[f154,f947])). 3.98/0.96 tff(f947,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF17)),f(sK9)) | ~$less(0,sK9) | ~$less(sK9,sK4) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f243,f545])). 3.98/0.96 tff(f1946,plain,( 3.98/0.96 spl45_175 | ~spl45_36 | ~spl45_110 | ~spl45_129), 3.98/0.96 inference(avatar_split_clause,[],[f1929,f1619,f1281,f532,f1943])). 3.98/0.96 tff(f1943,plain,( 3.98/0.96 spl45_175 <=> $less(tb2t(get(int,int,sF20,sF14)),sK8)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_175])])). 3.98/0.96 tff(f1929,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF14)),sK8) | (~spl45_36 | ~spl45_110 | ~spl45_129)), 3.98/0.96 inference(subsumption_resolution,[],[f1290,f1620])). 3.98/0.96 tff(f1290,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF14)),sK8) | ~$less(0,sK8) | (~spl45_36 | ~spl45_110)), 3.98/0.96 inference(subsumption_resolution,[],[f907,f1282])). 3.98/0.96 tff(f907,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF14)),sK8) | ~$less(0,sK8) | ~$less(sK8,sK4) | ~spl45_36), 3.98/0.96 inference(superposition,[],[f247,f534])). 3.98/0.96 tff(f1941,plain,( 3.98/0.96 spl45_174 | ~spl45_38 | ~spl45_124), 3.98/0.96 inference(avatar_split_clause,[],[f1918,f1585,f543,f1938])). 3.98/0.96 tff(f1938,plain,( 3.98/0.96 spl45_174 <=> $less(tb2t(get(int,int,sF20,sF17)),sK9)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_174])])). 3.98/0.96 tff(f1918,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF17)),sK9) | (~spl45_38 | ~spl45_124)), 3.98/0.96 inference(global_subsumption,[],[f1586,f914])). 3.98/0.96 tff(f914,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF17)),sK9) | ~$less(0,sK9) | ~spl45_38), 3.98/0.96 inference(global_subsumption,[],[f154,f908])). 3.98/0.96 tff(f908,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF17)),sK9) | ~$less(0,sK9) | ~$less(sK9,sK4) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f247,f545])). 3.98/0.96 tff(f1936,plain,( 3.98/0.96 ~spl45_173 | ~spl45_41 | ~spl45_118 | ~spl45_150), 3.98/0.96 inference(avatar_split_clause,[],[f1777,f1764,f1536,f558,f1933])). 3.98/0.96 tff(f1933,plain,( 3.98/0.96 spl45_173 <=> sF14 = sF21), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_173])])). 3.98/0.96 tff(f1764,plain,( 3.98/0.96 spl45_150 <=> $less(tb2t(get(int,int,sF20,sF14)),f(sK5))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_150])])). 3.98/0.96 tff(f1777,plain,( 3.98/0.96 sF14 != sF21 | (~spl45_41 | ~spl45_118 | ~spl45_150)), 3.98/0.96 inference(global_subsumption,[],[f143,f1537,f1776])). 3.98/0.96 tff(f1776,plain,( 3.98/0.96 sF14 != sF21 | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_150)), 3.98/0.96 inference(forward_demodulation,[],[f1774,f560])). 3.98/0.96 tff(f1774,plain,( 3.98/0.96 t2tb(sK5) != sF14 | ~$less(0,sK5) | ~$less(sK5,sK4) | ~spl45_150), 3.98/0.96 inference(constrained_resolution,[],[f1766,f243])). 3.98/0.96 tff(f1766,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF14)),f(sK5)) | ~spl45_150), 3.98/0.96 inference(avatar_component_clause,[],[f1764])). 3.98/0.96 tff(f1913,plain,( 3.98/0.96 ~spl45_172 | ~spl45_42 | ~spl45_167 | ~spl45_168), 3.98/0.96 inference(avatar_split_clause,[],[f1894,f1885,f1881,f563,f1910])). 3.98/0.96 tff(f1910,plain,( 3.98/0.96 spl45_172 <=> $less(sF25,0)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_172])])). 3.98/0.96 tff(f563,plain,( 3.98/0.96 spl45_42 <=> f(sK4) = sF25), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_42])])). 3.98/0.96 tff(f1885,plain,( 3.98/0.96 spl45_168 <=> $less(0,sK4)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_168])])). 3.98/0.96 tff(f1894,plain,( 3.98/0.96 ~$less(sF25,0) | (~spl45_42 | ~spl45_167 | ~spl45_168)), 3.98/0.96 inference(subsumption_resolution,[],[f1893,f1882])). 3.98/0.96 tff(f1893,plain,( 3.98/0.96 ~$less(sF25,0) | ~$less(sK4,n) | (~spl45_42 | ~spl45_168)), 3.98/0.96 inference(subsumption_resolution,[],[f823,f1886])). 3.98/0.96 tff(f1886,plain,( 3.98/0.96 $less(0,sK4) | ~spl45_168), 3.98/0.96 inference(avatar_component_clause,[],[f1885])). 3.98/0.96 tff(f823,plain,( 3.98/0.96 ~$less(sF25,0) | ~$less(0,sK4) | ~$less(sK4,n) | ~spl45_42), 3.98/0.96 inference(superposition,[],[f169,f565])). 3.98/0.96 tff(f565,plain,( 3.98/0.96 f(sK4) = sF25 | ~spl45_42), 3.98/0.96 inference(avatar_component_clause,[],[f563])). 3.98/0.96 tff(f169,plain,( 3.98/0.96 ( ! [X0 : $int] : (~$less(f(X0),0) | ~$less(0,X0) | ~$less(X0,n)) )), 3.98/0.96 inference(cnf_transformation,[],[f92])). 3.98/0.96 tff(f92,plain,( 3.98/0.96 ! [X0 : $int] : ((~$less(f(X0),0) & $less(f(X0),X0)) | ~$less(0,X0) | ~$less(X0,n))), 3.98/0.96 inference(flattening,[],[f91])). 3.98/0.96 tff(f91,plain,( 3.98/0.96 ! [X0 : $int] : ((~$less(f(X0),0) & $less(f(X0),X0)) | (~$less(0,X0) | ~$less(X0,n)))), 3.98/0.96 inference(ennf_transformation,[],[f60])). 3.98/0.96 tff(f60,plain,( 3.98/0.96 ! [X0 : $int] : (($less(0,X0) & $less(X0,n)) => (~$less(f(X0),0) & $less(f(X0),X0)))), 3.98/0.96 inference(rectify,[],[f45])). 3.98/0.96 tff(f45,plain,( 3.98/0.96 ! [X5 : $int] : (($less(0,X5) & $less(X5,n)) => (~$less(f(X5),0) & $less(f(X5),X5)))), 3.98/0.96 inference(theory_normalization,[],[f42])). 3.98/0.96 tff(f42,axiom,( 3.98/0.96 ! [X5 : $int] : (($less(0,X5) & $less(X5,n)) => ($lesseq(0,f(X5)) & $less(f(X5),X5)))), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_prop)). 3.98/0.96 tff(f1908,plain,( 3.98/0.96 ~spl45_171 | spl45_129 | ~spl45_146), 3.98/0.96 inference(avatar_split_clause,[],[f1743,f1724,f1619,f1905])). 3.98/0.96 tff(f1905,plain,( 3.98/0.96 spl45_171 <=> sK8 = sF36), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_171])])). 3.98/0.96 tff(f1724,plain,( 3.98/0.96 spl45_146 <=> $less(0,sF36)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_146])])). 3.98/0.96 tff(f1743,plain,( 3.98/0.96 sK8 != sF36 | (spl45_129 | ~spl45_146)), 3.98/0.96 inference(constrained_resolution,[],[f1726,f1621])). 3.98/0.96 tff(f1621,plain,( 3.98/0.96 ~$less(0,sK8) | spl45_129), 3.98/0.96 inference(avatar_component_clause,[],[f1619])). 3.98/0.96 tff(f1726,plain,( 3.98/0.96 $less(0,sF36) | ~spl45_146), 3.98/0.96 inference(avatar_component_clause,[],[f1724])). 3.98/0.96 tff(f1900,plain,( 3.98/0.96 ~spl45_170 | spl45_125 | ~spl45_146), 3.98/0.96 inference(avatar_split_clause,[],[f1742,f1724,f1589,f1897])). 3.98/0.96 tff(f1897,plain,( 3.98/0.96 spl45_170 <=> sF19 = sF36), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_170])])). 3.98/0.96 tff(f1589,plain,( 3.98/0.96 spl45_125 <=> $less(0,sF19)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_125])])). 3.98/0.96 tff(f1742,plain,( 3.98/0.96 sF19 != sF36 | (spl45_125 | ~spl45_146)), 3.98/0.96 inference(constrained_resolution,[],[f1726,f1590])). 3.98/0.96 tff(f1590,plain,( 3.98/0.96 ~$less(0,sF19) | spl45_125), 3.98/0.96 inference(avatar_component_clause,[],[f1589])). 3.98/0.96 tff(f1892,plain,( 3.98/0.96 ~spl45_167 | ~spl45_168 | spl45_169 | ~spl45_42), 3.98/0.96 inference(avatar_split_clause,[],[f814,f563,f1889,f1885,f1881])). 3.98/0.96 tff(f1889,plain,( 3.98/0.96 spl45_169 <=> $less(sF25,sK4)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_169])])). 3.98/0.96 tff(f814,plain,( 3.98/0.96 $less(sF25,sK4) | ~$less(0,sK4) | ~$less(sK4,n) | ~spl45_42), 3.98/0.96 inference(superposition,[],[f168,f565])). 3.98/0.96 tff(f168,plain,( 3.98/0.96 ( ! [X0 : $int] : ($less(f(X0),X0) | ~$less(0,X0) | ~$less(X0,n)) )), 3.98/0.96 inference(cnf_transformation,[],[f92])). 3.98/0.96 tff(f1879,plain,( 3.98/0.96 ~spl45_166 | spl45_124 | ~spl45_145), 3.98/0.96 inference(avatar_split_clause,[],[f1741,f1720,f1585,f1876])). 3.98/0.96 tff(f1876,plain,( 3.98/0.96 spl45_166 <=> sK9 = sF29), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_166])])). 3.98/0.96 tff(f1741,plain,( 3.98/0.96 sK9 != sF29 | (spl45_124 | ~spl45_145)), 3.98/0.96 inference(constrained_resolution,[],[f1721,f1587])). 3.98/0.96 tff(f1587,plain,( 3.98/0.96 ~$less(0,sK9) | spl45_124), 3.98/0.96 inference(avatar_component_clause,[],[f1585])). 3.98/0.96 tff(f1862,plain,( 3.98/0.96 ~spl45_165 | spl45_125 | ~spl45_145), 3.98/0.96 inference(avatar_split_clause,[],[f1739,f1720,f1589,f1859])). 3.98/0.96 tff(f1859,plain,( 3.98/0.96 spl45_165 <=> sF19 = sF29), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_165])])). 3.98/0.96 tff(f1739,plain,( 3.98/0.96 sF19 != sF29 | (spl45_125 | ~spl45_145)), 3.98/0.96 inference(constrained_resolution,[],[f1721,f1590])). 3.98/0.96 tff(f1855,plain,( 3.98/0.96 ~spl45_164 | ~spl45_3 | spl45_142), 3.98/0.96 inference(avatar_split_clause,[],[f1717,f1697,f288,f1852])). 3.98/0.96 tff(f1852,plain,( 3.98/0.96 spl45_164 <=> sK4 = sF29), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_164])])). 3.98/0.96 tff(f288,plain,( 3.98/0.96 spl45_3 <=> $less(sK5,sK4)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_3])])). 3.98/0.96 tff(f1697,plain,( 3.98/0.96 spl45_142 <=> $less(sK5,sF29)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_142])])). 3.98/0.96 tff(f1717,plain,( 3.98/0.96 sK4 != sF29 | (~spl45_3 | spl45_142)), 3.98/0.96 inference(constrained_resolution,[],[f1699,f290])). 3.98/0.96 tff(f290,plain,( 3.98/0.96 $less(sK5,sK4) | ~spl45_3), 3.98/0.96 inference(avatar_component_clause,[],[f288])). 3.98/0.96 tff(f1699,plain,( 3.98/0.96 ~$less(sK5,sF29) | spl45_142), 3.98/0.96 inference(avatar_component_clause,[],[f1697])). 3.98/0.96 tff(f1850,plain,( 3.98/0.96 ~spl45_161 | ~spl45_162 | spl45_163 | ~spl45_54 | ~spl45_57), 3.98/0.96 inference(avatar_split_clause,[],[f691,f675,f660,f1847,f1843,f1839])). 3.98/0.96 tff(f1839,plain,( 3.98/0.96 spl45_161 <=> sF27 = -1), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_161])])). 3.98/0.96 tff(f1843,plain,( 3.98/0.96 spl45_162 <=> sK4 = sK6), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_162])])). 3.98/0.96 tff(f1847,plain,( 3.98/0.96 spl45_163 <=> sF29 = sF30), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_163])])). 3.98/0.96 tff(f660,plain,( 3.98/0.96 spl45_54 <=> $sum(sK6,sF27) = sF30), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_54])])). 3.98/0.96 tff(f675,plain,( 3.98/0.96 spl45_57 <=> sF29 = $sum(sK4,-1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_57])])). 3.98/0.96 tff(f691,plain,( 3.98/0.96 sF29 = sF30 | sK4 != sK6 | sF27 != -1 | (~spl45_54 | ~spl45_57)), 3.98/0.96 inference(constrained_superposition,[],[f677,f662])). 3.98/0.96 tff(f662,plain,( 3.98/0.96 $sum(sK6,sF27) = sF30 | ~spl45_54), 3.98/0.96 inference(avatar_component_clause,[],[f660])). 3.98/0.96 tff(f677,plain,( 3.98/0.96 sF29 = $sum(sK4,-1) | ~spl45_57), 3.98/0.96 inference(avatar_component_clause,[],[f675])). 3.98/0.96 tff(f1836,plain,( 3.98/0.96 ~spl45_160 | ~spl45_6 | spl45_142), 3.98/0.96 inference(avatar_split_clause,[],[f1716,f1697,f303,f1833])). 3.98/0.96 tff(f1833,plain,( 3.98/0.96 spl45_160 <=> n = sF29), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_160])])). 3.98/0.96 tff(f303,plain,( 3.98/0.96 spl45_6 <=> $less(sK5,n)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_6])])). 3.98/0.96 tff(f1716,plain,( 3.98/0.96 n != sF29 | (~spl45_6 | spl45_142)), 3.98/0.96 inference(constrained_resolution,[],[f1699,f305])). 3.98/0.96 tff(f305,plain,( 3.98/0.96 $less(sK5,n) | ~spl45_6), 3.98/0.96 inference(avatar_component_clause,[],[f303])). 3.98/0.96 tff(f1828,plain,( 3.98/0.96 ~spl45_157 | ~spl45_158 | spl45_159 | ~spl45_55 | ~spl45_57), 3.98/0.96 inference(avatar_split_clause,[],[f690,f675,f665,f1825,f1821,f1817])). 3.98/0.96 tff(f1817,plain,( 3.98/0.96 spl45_157 <=> sF36 = -1), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_157])])). 3.98/0.96 tff(f1821,plain,( 3.98/0.96 spl45_158 <=> sK1 = sK4), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_158])])). 3.98/0.96 tff(f1825,plain,( 3.98/0.96 spl45_159 <=> sF29 = sF37), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_159])])). 3.98/0.96 tff(f665,plain,( 3.98/0.96 spl45_55 <=> $sum(sK1,sF36) = sF37), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_55])])). 3.98/0.96 tff(f690,plain,( 3.98/0.96 sF29 = sF37 | sK1 != sK4 | sF36 != -1 | (~spl45_55 | ~spl45_57)), 3.98/0.96 inference(constrained_superposition,[],[f677,f667])). 3.98/0.96 tff(f667,plain,( 3.98/0.96 $sum(sK1,sF36) = sF37 | ~spl45_55), 3.98/0.96 inference(avatar_component_clause,[],[f665])). 3.98/0.96 tff(f1806,plain,( 3.98/0.96 ~spl45_156 | ~spl45_153), 3.98/0.96 inference(avatar_split_clause,[],[f1794,f1786,f1803])). 3.98/0.96 tff(f1803,plain,( 3.98/0.96 spl45_156 <=> $less(f(1),0)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_156])])). 3.98/0.96 tff(f1786,plain,( 3.98/0.96 spl45_153 <=> $less(1,n)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_153])])). 3.98/0.96 tff(f1794,plain,( 3.98/0.96 ~$less(f(1),0) | ~spl45_153), 3.98/0.96 inference(subsumption_resolution,[],[f821,f1787])). 3.98/0.96 tff(f1787,plain,( 3.98/0.96 $less(1,n) | ~spl45_153), 3.98/0.96 inference(avatar_component_clause,[],[f1786])). 3.98/0.96 tff(f821,plain,( 3.98/0.96 ~$less(f(1),0) | ~$less(1,n)), 3.98/0.96 inference(interpreted_simplification,[],[f820])). 3.98/0.96 tff(f820,plain,( 3.98/0.96 ~$less(f(1),0) | ~$less(0,1) | ~$less(1,n)), 3.98/0.96 inference(instantiation,[],[f169])). 3.98/0.96 tff(f1799,plain,( 3.98/0.96 ~spl45_155 | spl45_124 | ~spl45_130), 3.98/0.96 inference(avatar_split_clause,[],[f1634,f1623,f1585,f1796])). 3.98/0.96 tff(f1796,plain,( 3.98/0.96 spl45_155 <=> sK9 = sF16), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_155])])). 3.98/0.96 tff(f1623,plain,( 3.98/0.96 spl45_130 <=> $less(0,sF16)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_130])])). 3.98/0.96 tff(f1634,plain,( 3.98/0.96 sK9 != sF16 | (spl45_124 | ~spl45_130)), 3.98/0.96 inference(constrained_resolution,[],[f1625,f1587])). 3.98/0.96 tff(f1625,plain,( 3.98/0.96 $less(0,sF16) | ~spl45_130), 3.98/0.96 inference(avatar_component_clause,[],[f1623])). 3.98/0.96 tff(f1793,plain,( 3.98/0.96 ~spl45_153 | spl45_154), 3.98/0.96 inference(avatar_split_clause,[],[f813,f1790,f1786])). 3.98/0.96 tff(f1790,plain,( 3.98/0.96 spl45_154 <=> $less(f(1),1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_154])])). 3.98/0.96 tff(f813,plain,( 3.98/0.96 $less(f(1),1) | ~$less(1,n)), 3.98/0.96 inference(interpreted_simplification,[],[f812])). 3.98/0.96 tff(f812,plain,( 3.98/0.96 $less(f(1),1) | ~$less(0,1) | ~$less(1,n)), 3.98/0.96 inference(instantiation,[],[f168])). 3.98/0.96 tff(f1784,plain,( 3.98/0.96 ~spl45_152 | spl45_129 | ~spl45_130), 3.98/0.96 inference(avatar_split_clause,[],[f1633,f1623,f1619,f1781])). 3.98/0.96 tff(f1781,plain,( 3.98/0.96 spl45_152 <=> sK8 = sF16), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_152])])). 3.98/0.96 tff(f1633,plain,( 3.98/0.96 sK8 != sF16 | (spl45_129 | ~spl45_130)), 3.98/0.96 inference(constrained_resolution,[],[f1625,f1621])). 3.98/0.96 tff(f1772,plain,( 3.98/0.96 ~spl45_151 | ~spl45_45 | ~spl45_143 | ~spl45_145), 3.98/0.96 inference(avatar_split_clause,[],[f1735,f1720,f1701,f578,f1769])). 3.98/0.96 tff(f1769,plain,( 3.98/0.96 spl45_151 <=> $less(tb2t(get(int,int,sF20,sF34)),f(sF29))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_151])])). 3.98/0.96 tff(f1735,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF34)),f(sF29)) | (~spl45_45 | ~spl45_143 | ~spl45_145)), 3.98/0.96 inference(subsumption_resolution,[],[f1712,f1721])). 3.98/0.96 tff(f1712,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF34)),f(sF29)) | ~$less(0,sF29) | (~spl45_45 | ~spl45_143)), 3.98/0.96 inference(subsumption_resolution,[],[f948,f1702])). 3.98/0.96 tff(f948,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF34)),f(sF29)) | ~$less(0,sF29) | ~$less(sF29,sK4) | ~spl45_45), 3.98/0.96 inference(superposition,[],[f243,f580])). 3.98/0.96 tff(f1767,plain,( 3.98/0.96 spl45_150 | ~spl45_41 | ~spl45_59 | ~spl45_118), 3.98/0.96 inference(avatar_split_clause,[],[f1554,f1536,f697,f558,f1764])). 3.98/0.96 tff(f1554,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF14)),f(sK5)) | (~spl45_41 | ~spl45_59 | ~spl45_118)), 3.98/0.96 inference(subsumption_resolution,[],[f1032,f1537])). 3.98/0.96 tff(f1032,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF14)),f(sK5)) | ~$less(0,sK5) | (~spl45_41 | ~spl45_59)), 3.98/0.96 inference(global_subsumption,[],[f143,f1031])). 3.98/0.96 tff(f1031,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF14)),f(sK5)) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_59)), 3.98/0.96 inference(forward_demodulation,[],[f1020,f699])). 3.98/0.96 tff(f1020,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,get(int,int,sF20,sF21))),f(sK5)) | ~$less(0,sK5) | ~$less(sK5,sK4) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f248,f560])). 3.98/0.96 tff(f1760,plain,( 3.98/0.96 spl45_149 | ~spl45_45 | ~spl45_143 | ~spl45_145), 3.98/0.96 inference(avatar_split_clause,[],[f1734,f1720,f1701,f578,f1757])). 3.98/0.96 tff(f1757,plain,( 3.98/0.96 spl45_149 <=> $less(tb2t(get(int,int,sF20,sF34)),sF29)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_149])])). 3.98/0.96 tff(f1734,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF34)),sF29) | (~spl45_45 | ~spl45_143 | ~spl45_145)), 3.98/0.96 inference(subsumption_resolution,[],[f1710,f1721])). 3.98/0.96 tff(f1710,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF34)),sF29) | ~$less(0,sF29) | (~spl45_45 | ~spl45_143)), 3.98/0.96 inference(subsumption_resolution,[],[f909,f1702])). 3.98/0.96 tff(f909,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF34)),sF29) | ~$less(0,sF29) | ~$less(sF29,sK4) | ~spl45_45), 3.98/0.96 inference(superposition,[],[f247,f580])). 3.98/0.96 tff(f1753,plain,( 3.98/0.96 spl45_147 | spl45_148 | ~spl45_45 | ~spl45_46 | ~spl45_74 | ~spl45_143), 3.98/0.96 inference(avatar_split_clause,[],[f1711,f1701,f782,f583,f578,f1750,f1746])). 3.98/0.96 tff(f1746,plain,( 3.98/0.96 spl45_147 <=> $less(sF29,0)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_147])])). 3.98/0.96 tff(f1750,plain,( 3.98/0.96 spl45_148 <=> path(sF36,sF29)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_148])])). 3.98/0.96 tff(f1711,plain,( 3.98/0.96 path(sF36,sF29) | $less(sF29,0) | (~spl45_45 | ~spl45_46 | ~spl45_74 | ~spl45_143)), 3.98/0.96 inference(subsumption_resolution,[],[f940,f1702])). 3.98/0.96 tff(f940,plain,( 3.98/0.96 path(sF36,sF29) | ~$less(sF29,sK4) | $less(sF29,0) | (~spl45_45 | ~spl45_46 | ~spl45_74)), 3.98/0.96 inference(forward_demodulation,[],[f939,f585])). 3.98/0.96 tff(f939,plain,( 3.98/0.96 path(tb2t(sF35),sF29) | ~$less(sF29,sK4) | $less(sF29,0) | (~spl45_45 | ~spl45_74)), 3.98/0.96 inference(forward_demodulation,[],[f923,f784])). 3.98/0.96 tff(f923,plain,( 3.98/0.96 path(tb2t(get(int,int,sF13,sF34)),sF29) | ~$less(sF29,sK4) | $less(sF29,0) | ~spl45_45), 3.98/0.96 inference(superposition,[],[f249,f580])). 3.98/0.96 tff(f249,plain,( 3.98/0.96 ( ! [X13 : $int] : (path(tb2t(get(int,int,sF13,t2tb(X13))),X13) | ~$less(X13,sK4) | $less(X13,0)) )), 3.98/0.96 inference(definition_folding,[],[f133,f214])). 3.98/0.96 tff(f133,plain,( 3.98/0.96 ( ! [X13 : $int] : (path(tb2t(get(int,int,t2tb1(sK2),t2tb(X13))),X13) | ~$less(X13,sK4) | $less(X13,0)) )), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f1727,plain,( 3.98/0.96 ~spl45_145 | spl45_146 | ~spl45_45 | ~spl45_46 | ~spl45_74 | ~spl45_143), 3.98/0.96 inference(avatar_split_clause,[],[f1709,f1701,f782,f583,f578,f1724,f1720])). 3.98/0.96 tff(f1709,plain,( 3.98/0.96 $less(0,sF36) | ~$less(0,sF29) | (~spl45_45 | ~spl45_46 | ~spl45_74 | ~spl45_143)), 3.98/0.96 inference(subsumption_resolution,[],[f901,f1702])). 3.98/0.96 tff(f901,plain,( 3.98/0.96 $less(0,sF36) | ~$less(0,sF29) | ~$less(sF29,sK4) | (~spl45_45 | ~spl45_46 | ~spl45_74)), 3.98/0.96 inference(forward_demodulation,[],[f900,f585])). 3.98/0.96 tff(f900,plain,( 3.98/0.96 $less(0,tb2t(sF35)) | ~$less(0,sF29) | ~$less(sF29,sK4) | (~spl45_45 | ~spl45_74)), 3.98/0.96 inference(forward_demodulation,[],[f890,f784])). 3.98/0.96 tff(f890,plain,( 3.98/0.96 $less(0,tb2t(get(int,int,sF13,sF34))) | ~$less(0,sF29) | ~$less(sF29,sK4) | ~spl45_45), 3.98/0.96 inference(superposition,[],[f244,f580])). 3.98/0.96 tff(f1708,plain,( 3.98/0.96 ~spl45_142 | ~spl45_143 | spl45_144 | ~spl45_45 | ~spl45_46 | ~spl45_74), 3.98/0.96 inference(avatar_split_clause,[],[f881,f782,f583,f578,f1705,f1701,f1697])). 3.98/0.96 tff(f1705,plain,( 3.98/0.96 spl45_144 <=> $less(sF27,sF36)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_144])])). 3.98/0.96 tff(f881,plain,( 3.98/0.96 $less(sF27,sF36) | ~$less(sF29,sK4) | ~$less(sK5,sF29) | (~spl45_45 | ~spl45_46 | ~spl45_74)), 3.98/0.96 inference(forward_demodulation,[],[f880,f585])). 3.98/0.96 tff(f880,plain,( 3.98/0.96 $less(sF27,tb2t(sF35)) | ~$less(sF29,sK4) | ~$less(sK5,sF29) | (~spl45_45 | ~spl45_74)), 3.98/0.96 inference(forward_demodulation,[],[f872,f784])). 3.98/0.96 tff(f872,plain,( 3.98/0.96 $less(sF27,tb2t(get(int,int,sF13,sF34))) | ~$less(sF29,sK4) | ~$less(sK5,sF29) | ~spl45_45), 3.98/0.96 inference(superposition,[],[f234,f580])). 3.98/0.96 tff(f234,plain,( 3.98/0.96 ( ! [X10 : $int] : ($less(sF27,tb2t(get(int,int,sF13,t2tb(X10)))) | ~$less(X10,sK4) | ~$less(sK5,X10)) )), 3.98/0.96 inference(definition_folding,[],[f142,f214,f233,f232,f223,f214])). 3.98/0.96 tff(f223,plain,( 3.98/0.96 t2tb(sK5) = sF21), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f232,plain,( 3.98/0.96 get(int,int,sF13,sF21) = sF26), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f233,plain,( 3.98/0.96 tb2t(sF26) = sF27), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f142,plain,( 3.98/0.96 ( ! [X10 : $int] : ($less(tb2t(get(int,int,t2tb1(sK2),t2tb(sK5))),tb2t(get(int,int,t2tb1(sK2),t2tb(X10)))) | ~$less(X10,sK4) | ~$less(sK5,X10)) )), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f1692,plain,( 3.98/0.96 ~spl45_139 | ~spl45_140 | spl45_141 | ~spl45_34 | ~spl45_55), 3.98/0.96 inference(avatar_split_clause,[],[f687,f665,f519,f1689,f1685,f1681])). 3.98/0.96 tff(f1681,plain,( 3.98/0.96 spl45_139 <=> 1 = sF36), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_139])])). 3.98/0.96 tff(f1685,plain,( 3.98/0.96 spl45_140 <=> sK1 = sK6), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_140])])). 3.98/0.96 tff(f1689,plain,( 3.98/0.96 spl45_141 <=> sK7 = sF37), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_141])])). 3.98/0.96 tff(f519,plain,( 3.98/0.96 spl45_34 <=> $sum(sK6,1) = sK7), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_34])])). 3.98/0.96 tff(f687,plain,( 3.98/0.96 sK7 = sF37 | sK1 != sK6 | 1 != sF36 | (~spl45_34 | ~spl45_55)), 3.98/0.96 inference(constrained_superposition,[],[f667,f521])). 3.98/0.96 tff(f521,plain,( 3.98/0.96 $sum(sK6,1) = sK7 | ~spl45_34), 3.98/0.96 inference(avatar_component_clause,[],[f519])). 3.98/0.96 tff(f1679,plain,( 3.98/0.96 ~spl45_138 | spl45_19 | ~spl45_120), 3.98/0.96 inference(avatar_split_clause,[],[f1562,f1556,f368,f1676])). 3.98/0.96 tff(f1676,plain,( 3.98/0.96 spl45_138 <=> sK5 = sF25), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_138])])). 3.98/0.96 tff(f368,plain,( 3.98/0.96 spl45_19 <=> $less(sK8,sF25)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_19])])). 3.98/0.96 tff(f1556,plain,( 3.98/0.96 spl45_120 <=> $less(sK8,sK5)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_120])])). 3.98/0.96 tff(f1562,plain,( 3.98/0.96 sK5 != sF25 | (spl45_19 | ~spl45_120)), 3.98/0.96 inference(constrained_resolution,[],[f1558,f370])). 3.98/0.96 tff(f370,plain,( 3.98/0.96 ~$less(sK8,sF25) | spl45_19), 3.98/0.96 inference(avatar_component_clause,[],[f368])). 3.98/0.96 tff(f1558,plain,( 3.98/0.96 $less(sK8,sK5) | ~spl45_120), 3.98/0.96 inference(avatar_component_clause,[],[f1556])). 3.98/0.96 tff(f1672,plain,( 3.98/0.96 ~spl45_137 | ~spl45_3 | spl45_116), 3.98/0.96 inference(avatar_split_clause,[],[f1533,f1524,f288,f1669])). 3.98/0.96 tff(f1669,plain,( 3.98/0.96 spl45_137 <=> sK4 = sK9), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_137])])). 3.98/0.96 tff(f1524,plain,( 3.98/0.96 spl45_116 <=> $less(sK5,sK9)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_116])])). 3.98/0.96 tff(f1533,plain,( 3.98/0.96 sK4 != sK9 | (~spl45_3 | spl45_116)), 3.98/0.96 inference(constrained_resolution,[],[f1526,f290])). 3.98/0.96 tff(f1526,plain,( 3.98/0.96 ~$less(sK5,sK9) | spl45_116), 3.98/0.96 inference(avatar_component_clause,[],[f1524])). 3.98/0.96 tff(f1667,plain,( 3.98/0.96 ~spl45_135 | spl45_136 | ~spl45_38 | ~spl45_41), 3.98/0.96 inference(avatar_split_clause,[],[f601,f558,f543,f1664,f1660])). 3.98/0.96 tff(f1660,plain,( 3.98/0.96 spl45_135 <=> sK5 = sK9), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_135])])). 3.98/0.96 tff(f1664,plain,( 3.98/0.96 spl45_136 <=> sF17 = sF21), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_136])])). 3.98/0.96 tff(f601,plain,( 3.98/0.96 sF17 = sF21 | sK5 != sK9 | (~spl45_38 | ~spl45_41)), 3.98/0.96 inference(constrained_superposition,[],[f560,f545])). 3.98/0.96 tff(f1657,plain,( 3.98/0.96 ~spl45_134 | ~spl45_6 | spl45_116), 3.98/0.96 inference(avatar_split_clause,[],[f1532,f1524,f303,f1654])). 3.98/0.96 tff(f1654,plain,( 3.98/0.96 spl45_134 <=> n = sK9), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_134])])). 3.98/0.96 tff(f1532,plain,( 3.98/0.96 n != sK9 | (~spl45_6 | spl45_116)), 3.98/0.96 inference(constrained_resolution,[],[f1526,f305])). 3.98/0.96 tff(f1651,plain,( 3.98/0.96 ~spl45_132 | spl45_133 | ~spl45_36 | ~spl45_38), 3.98/0.96 inference(avatar_split_clause,[],[f598,f543,f532,f1648,f1644])). 3.98/0.96 tff(f1644,plain,( 3.98/0.96 spl45_132 <=> sK8 = sK9), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_132])])). 3.98/0.96 tff(f1648,plain,( 3.98/0.96 spl45_133 <=> sF14 = sF17), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_133])])). 3.98/0.96 tff(f598,plain,( 3.98/0.96 sF14 = sF17 | sK8 != sK9 | (~spl45_36 | ~spl45_38)), 3.98/0.96 inference(constrained_superposition,[],[f545,f534])). 3.98/0.96 tff(f1640,plain,( 3.98/0.96 spl45_131 | ~spl45_30 | ~spl45_47 | ~spl45_64), 3.98/0.96 inference(avatar_split_clause,[],[f1008,f730,f588,f497,f1637])). 3.98/0.96 tff(f1637,plain,( 3.98/0.96 spl45_131 <=> sF32 = get(int,int,sF43,sF31)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_131])])). 3.98/0.96 tff(f497,plain,( 3.98/0.96 spl45_30 <=> tb2t(sF32) = -1), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_30])])). 3.98/0.96 tff(f588,plain,( 3.98/0.96 spl45_47 <=> sF42 = t2tb(-1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_47])])). 3.98/0.96 tff(f730,plain,( 3.98/0.96 spl45_64 <=> sF43 = set(int,int,sF41,sF31,sF32)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_64])])). 3.98/0.96 tff(f1008,plain,( 3.98/0.96 sF32 = get(int,int,sF43,sF31) | (~spl45_30 | ~spl45_47 | ~spl45_64)), 3.98/0.96 inference(global_subsumption,[],[f644,f1006])). 3.98/0.96 tff(f1006,plain,( 3.98/0.96 sF32 = get(int,int,sF43,sF31) | ~sort(int,sF32) | ~spl45_64), 3.98/0.96 inference(superposition,[],[f213,f732])). 3.98/0.96 tff(f732,plain,( 3.98/0.96 sF43 = set(int,int,sF41,sF31,sF32) | ~spl45_64), 3.98/0.96 inference(avatar_component_clause,[],[f730])). 3.98/0.96 tff(f213,plain,( 3.98/0.96 ( ! [X2 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X4,X5),X4) = X5 | ~sort(X1,X5)) )), 3.98/0.96 inference(equality_resolution,[],[f209])). 3.98/0.96 tff(f209,plain,( 3.98/0.96 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort(X1,X5)) )), 3.98/0.96 inference(cnf_transformation,[],[f108])). 3.98/0.96 tff(f108,plain,( 3.98/0.96 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort(X1,X5))), 3.98/0.96 inference(flattening,[],[f107])). 3.98/0.96 tff(f107,plain,( 3.98/0.96 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort(X1,X5))), 3.98/0.96 inference(ennf_transformation,[],[f88])). 3.98/0.96 tff(f88,plain,( 3.98/0.96 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort(X1,X5) => (X3 = X4 => get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5))), 3.98/0.96 inference(rectify,[],[f10])). 3.98/0.96 tff(f10,axiom,( 3.98/0.96 ! [X12 : ty,X13 : ty,X21 : uni,X15 : uni,X22 : uni,X14 : uni] : (sort(X13,X14) => (X15 = X22 => get(X13,X12,set(X13,X12,X21,X15,X14),X22) = X14))), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq)). 3.98/0.96 tff(f644,plain,( 3.98/0.96 sort(int,sF32) | (~spl45_30 | ~spl45_47)), 3.98/0.96 inference(backward_demodulation,[],[f616,f642])). 3.98/0.96 tff(f642,plain,( 3.98/0.96 sF32 = sF42 | (~spl45_30 | ~spl45_47)), 3.98/0.96 inference(backward_demodulation,[],[f590,f635])). 3.98/0.96 tff(f635,plain,( 3.98/0.96 sF32 = t2tb(-1) | ~spl45_30), 3.98/0.96 inference(superposition,[],[f165,f499])). 3.98/0.96 tff(f499,plain,( 3.98/0.96 tb2t(sF32) = -1 | ~spl45_30), 3.98/0.96 inference(avatar_component_clause,[],[f497])). 3.98/0.96 tff(f165,plain,( 3.98/0.96 ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0) )), 3.98/0.96 inference(cnf_transformation,[],[f57])). 3.98/0.96 tff(f57,plain,( 3.98/0.96 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 3.98/0.96 inference(rectify,[],[f12])). 3.98/0.96 tff(f12,axiom,( 3.98/0.96 ! [X7 : uni] : t2tb(tb2t(X7)) = X7), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 3.98/0.96 tff(f590,plain,( 3.98/0.96 sF42 = t2tb(-1) | ~spl45_47), 3.98/0.96 inference(avatar_component_clause,[],[f588])). 3.98/0.96 tff(f616,plain,( 3.98/0.96 sort(int,sF42) | ~spl45_47), 3.98/0.96 inference(superposition,[],[f161,f590])). 3.98/0.96 tff(f161,plain,( 3.98/0.96 ( ! [X0 : $int] : (sort(int,t2tb(X0))) )), 3.98/0.96 inference(cnf_transformation,[],[f53])). 3.98/0.96 tff(f53,plain,( 3.98/0.96 ! [X0 : $int] : sort(int,t2tb(X0))), 3.98/0.96 inference(rectify,[],[f34])). 3.98/0.96 tff(f34,axiom,( 3.98/0.96 ! [X19 : $int] : sort(int,t2tb(X19))), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort)). 3.98/0.96 tff(f1626,plain,( 3.98/0.96 ~spl45_129 | spl45_130 | ~spl45_36 | ~spl45_37 | ~spl45_68 | ~spl45_110), 3.98/0.96 inference(avatar_split_clause,[],[f1289,f1281,f752,f537,f532,f1623,f1619])). 3.98/0.96 tff(f1289,plain,( 3.98/0.96 $less(0,sF16) | ~$less(0,sK8) | (~spl45_36 | ~spl45_37 | ~spl45_68 | ~spl45_110)), 3.98/0.96 inference(subsumption_resolution,[],[f896,f1282])). 3.98/0.96 tff(f896,plain,( 3.98/0.96 $less(0,sF16) | ~$less(0,sK8) | ~$less(sK8,sK4) | (~spl45_36 | ~spl45_37 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f895,f539])). 3.98/0.96 tff(f895,plain,( 3.98/0.96 $less(0,tb2t(sF15)) | ~$less(0,sK8) | ~$less(sK8,sK4) | (~spl45_36 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f888,f754])). 3.98/0.96 tff(f888,plain,( 3.98/0.96 $less(0,tb2t(get(int,int,sF13,sF14))) | ~$less(0,sK8) | ~$less(sK8,sK4) | ~spl45_36), 3.98/0.96 inference(superposition,[],[f244,f534])). 3.98/0.96 tff(f1617,plain,( 3.98/0.96 ~spl45_128 | ~spl45_7 | spl45_98), 3.98/0.96 inference(avatar_split_clause,[],[f1251,f1214,f308,f1614])). 3.98/0.96 tff(f1614,plain,( 3.98/0.96 spl45_128 <=> sK9 = sF30), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_128])])). 3.98/0.96 tff(f308,plain,( 3.98/0.96 spl45_7 <=> $less(sK8,sK9)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_7])])). 3.98/0.96 tff(f1214,plain,( 3.98/0.96 spl45_98 <=> $less(sK8,sF30)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_98])])). 3.98/0.96 tff(f1251,plain,( 3.98/0.96 sK9 != sF30 | (~spl45_7 | spl45_98)), 3.98/0.96 inference(constrained_resolution,[],[f1216,f310])). 3.98/0.96 tff(f310,plain,( 3.98/0.96 $less(sK8,sK9) | ~spl45_7), 3.98/0.96 inference(avatar_component_clause,[],[f308])). 3.98/0.96 tff(f1216,plain,( 3.98/0.96 ~$less(sK8,sF30) | spl45_98), 3.98/0.96 inference(avatar_component_clause,[],[f1214])). 3.98/0.96 tff(f1612,plain,( 3.98/0.96 spl45_126 | spl45_127 | ~spl45_38 | ~spl45_39 | ~spl45_70), 3.98/0.96 inference(avatar_split_clause,[],[f938,f762,f548,f543,f1609,f1605])). 3.98/0.96 tff(f1605,plain,( 3.98/0.96 spl45_126 <=> $less(sK9,0)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_126])])). 3.98/0.96 tff(f938,plain,( 3.98/0.96 path(sF19,sK9) | $less(sK9,0) | (~spl45_38 | ~spl45_39 | ~spl45_70)), 3.98/0.96 inference(global_subsumption,[],[f154,f937])). 3.98/0.96 tff(f937,plain,( 3.98/0.96 path(sF19,sK9) | ~$less(sK9,sK4) | $less(sK9,0) | (~spl45_38 | ~spl45_39 | ~spl45_70)), 3.98/0.96 inference(forward_demodulation,[],[f936,f550])). 3.98/0.96 tff(f936,plain,( 3.98/0.96 path(tb2t(sF18),sK9) | ~$less(sK9,sK4) | $less(sK9,0) | (~spl45_38 | ~spl45_70)), 3.98/0.96 inference(forward_demodulation,[],[f922,f764])). 3.98/0.96 tff(f922,plain,( 3.98/0.96 path(tb2t(get(int,int,sF13,sF17)),sK9) | ~$less(sK9,sK4) | $less(sK9,0) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f249,f545])). 3.98/0.96 tff(f1592,plain,( 3.98/0.96 ~spl45_124 | spl45_125 | ~spl45_38 | ~spl45_39 | ~spl45_70), 3.98/0.96 inference(avatar_split_clause,[],[f899,f762,f548,f543,f1589,f1585])). 3.98/0.96 tff(f899,plain,( 3.98/0.96 $less(0,sF19) | ~$less(0,sK9) | (~spl45_38 | ~spl45_39 | ~spl45_70)), 3.98/0.96 inference(global_subsumption,[],[f154,f898])). 3.98/0.96 tff(f898,plain,( 3.98/0.96 $less(0,sF19) | ~$less(0,sK9) | ~$less(sK9,sK4) | (~spl45_38 | ~spl45_39 | ~spl45_70)), 3.98/0.96 inference(forward_demodulation,[],[f897,f550])). 3.98/0.96 tff(f897,plain,( 3.98/0.96 $less(0,tb2t(sF18)) | ~$less(0,sK9) | ~$less(sK9,sK4) | (~spl45_38 | ~spl45_70)), 3.98/0.96 inference(forward_demodulation,[],[f889,f764])). 3.98/0.96 tff(f889,plain,( 3.98/0.96 $less(0,tb2t(get(int,int,sF13,sF17))) | ~$less(0,sK9) | ~$less(sK9,sK4) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f244,f545])). 3.98/0.96 tff(f1583,plain,( 3.98/0.96 ~spl45_123 | ~spl45_6 | spl45_94), 3.98/0.96 inference(avatar_split_clause,[],[f1200,f1192,f303,f1580])). 3.98/0.96 tff(f1580,plain,( 3.98/0.96 spl45_123 <=> n = sK8), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_123])])). 3.98/0.96 tff(f1192,plain,( 3.98/0.96 spl45_94 <=> $less(sK5,sK8)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_94])])). 3.98/0.96 tff(f1200,plain,( 3.98/0.96 n != sK8 | (~spl45_6 | spl45_94)), 3.98/0.96 inference(constrained_resolution,[],[f1194,f305])). 3.98/0.96 tff(f1194,plain,( 3.98/0.96 ~$less(sK5,sK8) | spl45_94), 3.98/0.96 inference(avatar_component_clause,[],[f1192])). 3.98/0.96 tff(f1577,plain,( 3.98/0.96 spl45_122 | ~spl45_37 | ~spl45_41 | ~spl45_43 | ~spl45_59 | ~spl45_68 | ~spl45_71 | ~spl45_118), 3.98/0.96 inference(avatar_split_clause,[],[f1553,f1536,f767,f752,f697,f568,f558,f537,f1574])). 3.98/0.96 tff(f1574,plain,( 3.98/0.96 spl45_122 <=> sF27 = $sum(sF16,1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_122])])). 3.98/0.96 tff(f568,plain,( 3.98/0.96 spl45_43 <=> tb2t(sF26) = sF27), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_43])])). 3.98/0.96 tff(f767,plain,( 3.98/0.96 spl45_71 <=> get(int,int,sF13,sF21) = sF26), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_71])])). 3.98/0.96 tff(f1553,plain,( 3.98/0.96 sF27 = $sum(sF16,1) | (~spl45_37 | ~spl45_41 | ~spl45_43 | ~spl45_59 | ~spl45_68 | ~spl45_71 | ~spl45_118)), 3.98/0.96 inference(subsumption_resolution,[],[f1052,f1537])). 3.98/0.96 tff(f1052,plain,( 3.98/0.96 sF27 = $sum(sF16,1) | ~$less(0,sK5) | (~spl45_37 | ~spl45_41 | ~spl45_43 | ~spl45_59 | ~spl45_68 | ~spl45_71)), 3.98/0.96 inference(global_subsumption,[],[f143,f1051])). 3.98/0.96 tff(f1051,plain,( 3.98/0.96 sF27 = $sum(sF16,1) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_37 | ~spl45_41 | ~spl45_43 | ~spl45_59 | ~spl45_68 | ~spl45_71)), 3.98/0.96 inference(forward_demodulation,[],[f1050,f570])). 3.98/0.96 tff(f570,plain,( 3.98/0.96 tb2t(sF26) = sF27 | ~spl45_43), 3.98/0.96 inference(avatar_component_clause,[],[f568])). 3.98/0.96 tff(f1050,plain,( 3.98/0.96 tb2t(sF26) = $sum(sF16,1) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_37 | ~spl45_41 | ~spl45_59 | ~spl45_68 | ~spl45_71)), 3.98/0.96 inference(forward_demodulation,[],[f1049,f769])). 3.98/0.96 tff(f769,plain,( 3.98/0.96 get(int,int,sF13,sF21) = sF26 | ~spl45_71), 3.98/0.96 inference(avatar_component_clause,[],[f767])). 3.98/0.96 tff(f1049,plain,( 3.98/0.96 tb2t(get(int,int,sF13,sF21)) = $sum(sF16,1) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_37 | ~spl45_41 | ~spl45_59 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f1048,f539])). 3.98/0.96 tff(f1048,plain,( 3.98/0.96 tb2t(get(int,int,sF13,sF21)) = $sum(tb2t(sF15),1) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_59 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f1047,f754])). 3.98/0.96 tff(f1047,plain,( 3.98/0.96 tb2t(get(int,int,sF13,sF21)) = $sum(tb2t(get(int,int,sF13,sF14)),1) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_59)), 3.98/0.96 inference(forward_demodulation,[],[f1038,f699])). 3.98/0.96 tff(f1038,plain,( 3.98/0.96 tb2t(get(int,int,sF13,sF21)) = $sum(tb2t(get(int,int,sF13,get(int,int,sF20,sF21))),1) | ~$less(0,sK5) | ~$less(sK5,sK4) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f246,f560])). 3.98/0.96 tff(f1567,plain,( 3.98/0.96 ~spl45_121 | ~spl45_41 | ~spl45_59 | ~spl45_72 | ~spl45_118), 3.98/0.96 inference(avatar_split_clause,[],[f1551,f1536,f772,f697,f558,f1564])). 3.98/0.96 tff(f1564,plain,( 3.98/0.96 spl45_121 <=> $less(sK8,f(sK5))), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_121])])). 3.98/0.96 tff(f1551,plain,( 3.98/0.96 ~$less(sK8,f(sK5)) | (~spl45_41 | ~spl45_59 | ~spl45_72 | ~spl45_118)), 3.98/0.96 inference(subsumption_resolution,[],[f954,f1537])). 3.98/0.96 tff(f954,plain,( 3.98/0.96 ~$less(sK8,f(sK5)) | ~$less(0,sK5) | (~spl45_41 | ~spl45_59 | ~spl45_72)), 3.98/0.96 inference(global_subsumption,[],[f143,f953])). 3.98/0.96 tff(f953,plain,( 3.98/0.96 ~$less(sK8,f(sK5)) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_59 | ~spl45_72)), 3.98/0.96 inference(forward_demodulation,[],[f952,f774])). 3.98/0.96 tff(f952,plain,( 3.98/0.96 ~$less(tb2t(sF14),f(sK5)) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_59)), 3.98/0.96 inference(forward_demodulation,[],[f945,f699])). 3.98/0.96 tff(f945,plain,( 3.98/0.96 ~$less(tb2t(get(int,int,sF20,sF21)),f(sK5)) | ~$less(0,sK5) | ~$less(sK5,sK4) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f243,f560])). 3.98/0.96 tff(f1559,plain,( 3.98/0.96 spl45_120 | ~spl45_41 | ~spl45_59 | ~spl45_72 | ~spl45_118), 3.98/0.96 inference(avatar_split_clause,[],[f1550,f1536,f772,f697,f558,f1556])). 3.98/0.96 tff(f1550,plain,( 3.98/0.96 $less(sK8,sK5) | (~spl45_41 | ~spl45_59 | ~spl45_72 | ~spl45_118)), 3.98/0.96 inference(subsumption_resolution,[],[f913,f1537])). 3.98/0.96 tff(f913,plain,( 3.98/0.96 $less(sK8,sK5) | ~$less(0,sK5) | (~spl45_41 | ~spl45_59 | ~spl45_72)), 3.98/0.96 inference(global_subsumption,[],[f143,f912])). 3.98/0.96 tff(f912,plain,( 3.98/0.96 $less(sK8,sK5) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_59 | ~spl45_72)), 3.98/0.96 inference(forward_demodulation,[],[f911,f774])). 3.98/0.96 tff(f911,plain,( 3.98/0.96 $less(tb2t(sF14),sK5) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_59)), 3.98/0.96 inference(forward_demodulation,[],[f906,f699])). 3.98/0.96 tff(f906,plain,( 3.98/0.96 $less(tb2t(get(int,int,sF20,sF21)),sK5) | ~$less(0,sK5) | ~$less(sK5,sK4) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f247,f560])). 3.98/0.96 tff(f1543,plain,( 3.98/0.96 ~spl45_118 | spl45_119 | ~spl45_41 | ~spl45_43 | ~spl45_71), 3.98/0.96 inference(avatar_split_clause,[],[f894,f767,f568,f558,f1540,f1536])). 3.98/0.96 tff(f1540,plain,( 3.98/0.96 spl45_119 <=> $less(0,sF27)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_119])])). 3.98/0.96 tff(f894,plain,( 3.98/0.96 $less(0,sF27) | ~$less(0,sK5) | (~spl45_41 | ~spl45_43 | ~spl45_71)), 3.98/0.96 inference(global_subsumption,[],[f143,f893])). 3.98/0.96 tff(f893,plain,( 3.98/0.96 $less(0,sF27) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_43 | ~spl45_71)), 3.98/0.96 inference(forward_demodulation,[],[f892,f570])). 3.98/0.96 tff(f892,plain,( 3.98/0.96 $less(0,tb2t(sF26)) | ~$less(0,sK5) | ~$less(sK5,sK4) | (~spl45_41 | ~spl45_71)), 3.98/0.96 inference(forward_demodulation,[],[f887,f769])). 3.98/0.96 tff(f887,plain,( 3.98/0.96 $less(0,tb2t(get(int,int,sF13,sF21))) | ~$less(0,sK5) | ~$less(sK5,sK4) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f244,f560])). 3.98/0.96 tff(f1531,plain,( 3.98/0.96 ~spl45_116 | spl45_117 | ~spl45_38 | ~spl45_39 | ~spl45_70), 3.98/0.96 inference(avatar_split_clause,[],[f879,f762,f548,f543,f1528,f1524])). 3.98/0.96 tff(f1528,plain,( 3.98/0.96 spl45_117 <=> $less(sF27,sF19)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_117])])). 3.98/0.96 tff(f879,plain,( 3.98/0.96 $less(sF27,sF19) | ~$less(sK5,sK9) | (~spl45_38 | ~spl45_39 | ~spl45_70)), 3.98/0.96 inference(global_subsumption,[],[f154,f878])). 3.98/0.96 tff(f878,plain,( 3.98/0.96 $less(sF27,sF19) | ~$less(sK9,sK4) | ~$less(sK5,sK9) | (~spl45_38 | ~spl45_39 | ~spl45_70)), 3.98/0.96 inference(forward_demodulation,[],[f877,f550])). 3.98/0.96 tff(f877,plain,( 3.98/0.96 $less(sF27,tb2t(sF18)) | ~$less(sK9,sK4) | ~$less(sK5,sK9) | (~spl45_38 | ~spl45_70)), 3.98/0.96 inference(forward_demodulation,[],[f871,f764])). 3.98/0.96 tff(f871,plain,( 3.98/0.96 $less(sF27,tb2t(get(int,int,sF13,sF17))) | ~$less(sK9,sK4) | ~$less(sK5,sK9) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f234,f545])). 3.98/0.96 tff(f1512,plain,( 3.98/0.96 ~spl45_115 | ~spl45_11 | spl45_92), 3.98/0.96 inference(avatar_split_clause,[],[f1184,f1178,f328,f1509])). 3.98/0.96 tff(f1509,plain,( 3.98/0.96 spl45_115 <=> 0 = sK7), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_115])])). 3.98/0.96 tff(f328,plain,( 3.98/0.96 spl45_11 <=> sK7 = sF24), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_11])])). 3.98/0.96 tff(f1178,plain,( 3.98/0.96 spl45_92 <=> 0 = sF24), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_92])])). 3.98/0.96 tff(f1184,plain,( 3.98/0.96 0 != sK7 | (~spl45_11 | spl45_92)), 3.98/0.96 inference(superposition,[],[f1180,f330])). 3.98/0.96 tff(f330,plain,( 3.98/0.96 sK7 = sF24 | ~spl45_11), 3.98/0.96 inference(avatar_component_clause,[],[f328])). 3.98/0.96 tff(f1180,plain,( 3.98/0.96 0 != sF24 | spl45_92), 3.98/0.96 inference(avatar_component_clause,[],[f1178])). 3.98/0.96 tff(f1504,plain,( 3.98/0.96 spl45_114 | ~spl45_36 | ~spl45_37 | ~spl45_68 | ~spl45_110 | spl45_112), 3.98/0.96 inference(avatar_split_clause,[],[f1308,f1300,f1281,f752,f537,f532,f1501])). 3.98/0.96 tff(f1300,plain,( 3.98/0.96 spl45_112 <=> $less(sK8,0)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_112])])). 3.98/0.96 tff(f1308,plain,( 3.98/0.96 path(sF16,sK8) | (~spl45_36 | ~spl45_37 | ~spl45_68 | ~spl45_110 | spl45_112)), 3.98/0.96 inference(subsumption_resolution,[],[f1291,f1302])). 3.98/0.96 tff(f1302,plain,( 3.98/0.96 ~$less(sK8,0) | spl45_112), 3.98/0.96 inference(avatar_component_clause,[],[f1300])). 3.98/0.96 tff(f1291,plain,( 3.98/0.96 path(sF16,sK8) | $less(sK8,0) | (~spl45_36 | ~spl45_37 | ~spl45_68 | ~spl45_110)), 3.98/0.96 inference(subsumption_resolution,[],[f935,f1282])). 3.98/0.96 tff(f935,plain,( 3.98/0.96 path(sF16,sK8) | ~$less(sK8,sK4) | $less(sK8,0) | (~spl45_36 | ~spl45_37 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f934,f539])). 3.98/0.96 tff(f934,plain,( 3.98/0.96 path(tb2t(sF15),sK8) | ~$less(sK8,sK4) | $less(sK8,0) | (~spl45_36 | ~spl45_68)), 3.98/0.96 inference(forward_demodulation,[],[f921,f754])). 3.98/0.96 tff(f921,plain,( 3.98/0.96 path(tb2t(get(int,int,sF13,sF14)),sK8) | ~$less(sK8,sK4) | $less(sK8,0) | ~spl45_36), 3.98/0.96 inference(superposition,[],[f249,f534])). 3.98/0.96 tff(f1433,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107 | ~spl45_110), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1432])). 3.98/0.96 tff(f1432,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107 | ~spl45_110)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1387,plain,( 3.98/0.96 ~$less(0,sF19) | (spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f320,f1386])). 3.98/0.96 tff(f1386,plain,( 3.98/0.96 0 = sF16 | (~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f1364,f1358])). 3.98/0.96 tff(f1358,plain,( 3.98/0.96 0 = tb2t(sF14) | (~spl45_10 | ~spl45_36 | ~spl45_44 | ~spl45_67 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f747,f1353])). 3.98/0.96 tff(f1353,plain,( 3.98/0.96 sF14 = sF31 | (~spl45_10 | ~spl45_36 | ~spl45_44 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f575,f1314])). 3.98/0.96 tff(f1314,plain,( 3.98/0.96 t2tb(0) = sF14 | (~spl45_10 | ~spl45_36 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f534,f1310])). 3.98/0.96 tff(f1310,plain,( 3.98/0.96 0 = sK8 | (~spl45_10 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f325,f1264])). 3.98/0.96 tff(f1264,plain,( 3.98/0.96 0 = sF23 | ~spl45_107), 3.98/0.96 inference(avatar_component_clause,[],[f1263])). 3.98/0.96 tff(f1263,plain,( 3.98/0.96 spl45_107 <=> 0 = sF23), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_107])])). 3.98/0.96 tff(f325,plain,( 3.98/0.96 sK8 = sF23 | ~spl45_10), 3.98/0.96 inference(avatar_component_clause,[],[f323])). 3.98/0.96 tff(f323,plain,( 3.98/0.96 spl45_10 <=> sK8 = sF23), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_10])])). 3.98/0.96 tff(f575,plain,( 3.98/0.96 t2tb(0) = sF31 | ~spl45_44), 3.98/0.96 inference(avatar_component_clause,[],[f573])). 3.98/0.96 tff(f573,plain,( 3.98/0.96 spl45_44 <=> t2tb(0) = sF31), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_44])])). 3.98/0.96 tff(f747,plain,( 3.98/0.96 0 = tb2t(sF31) | ~spl45_67), 3.98/0.96 inference(avatar_component_clause,[],[f745])). 3.98/0.96 tff(f745,plain,( 3.98/0.96 spl45_67 <=> 0 = tb2t(sF31)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_67])])). 3.98/0.96 tff(f1364,plain,( 3.98/0.96 sF16 = tb2t(sF14) | (~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_44 | ~spl45_60 | ~spl45_68 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f539,f1363])). 3.98/0.96 tff(f1363,plain,( 3.98/0.96 sF14 = sF15 | (~spl45_10 | ~spl45_36 | ~spl45_44 | ~spl45_60 | ~spl45_68 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f754,f1355])). 3.98/0.96 tff(f1355,plain,( 3.98/0.96 sF14 = get(int,int,sF13,sF14) | (~spl45_10 | ~spl45_36 | ~spl45_44 | ~spl45_60 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f704,f1353])). 3.98/0.96 tff(f704,plain,( 3.98/0.96 sF31 = get(int,int,sF13,sF31) | ~spl45_60), 3.98/0.96 inference(avatar_component_clause,[],[f702])). 3.98/0.96 tff(f702,plain,( 3.98/0.96 spl45_60 <=> sF31 = get(int,int,sF13,sF31)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_60])])). 3.98/0.96 tff(f320,plain,( 3.98/0.96 ~$less(sF16,sF19) | spl45_9), 3.98/0.96 inference(avatar_component_clause,[],[f318])). 3.98/0.96 tff(f318,plain,( 3.98/0.96 spl45_9 <=> $less(sF16,sF19)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_9])])). 3.98/0.96 tff(f1346,plain,( 3.98/0.96 $less(0,sF19) | (~spl45_7 | ~spl45_10 | ~spl45_38 | ~spl45_39 | ~spl45_70 | ~spl45_107)), 3.98/0.96 inference(subsumption_resolution,[],[f899,f1312])). 3.98/0.96 tff(f1312,plain,( 3.98/0.96 $less(0,sK9) | (~spl45_7 | ~spl45_10 | ~spl45_107)), 3.98/0.96 inference(backward_demodulation,[],[f310,f1310])). 3.98/0.96 tff(f1431,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_104 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1430])). 3.98/0.96 tff(f1430,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_104 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1429,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_103 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1428])). 3.98/0.96 tff(f1428,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_103 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1427,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_99 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1426])). 3.98/0.96 tff(f1426,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_99 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1425,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_98 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1424])). 3.98/0.96 tff(f1424,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_98 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1423,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_85 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1422])). 3.98/0.96 tff(f1422,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | spl45_85 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1420,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_44 | ~spl45_59 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_72 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1419])). 3.98/0.96 tff(f1419,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_44 | ~spl45_59 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_72 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1417,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_44 | ~spl45_59 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_72 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1416])). 3.98/0.96 tff(f1416,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_44 | ~spl45_59 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_72 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1415,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_51 | ~spl45_60 | ~spl45_63 | ~spl45_64 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1414])). 3.98/0.96 tff(f1414,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_51 | ~spl45_60 | ~spl45_63 | ~spl45_64 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1412,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_30 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_47 | ~spl45_60 | ~spl45_64 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1411])). 3.98/0.96 tff(f1411,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_30 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_47 | ~spl45_60 | ~spl45_64 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1410,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_51 | ~spl45_60 | ~spl45_63 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1409])). 3.98/0.96 tff(f1409,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_51 | ~spl45_60 | ~spl45_63 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1408,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_73 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1407])). 3.98/0.96 tff(f1407,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_73 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1402,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_43 | ~spl45_44 | ~spl45_59 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_71 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1401])). 3.98/0.96 tff(f1401,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_41 | ~spl45_43 | ~spl45_44 | ~spl45_59 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_71 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1400,plain,( 3.98/0.96 ~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107), 3.98/0.96 inference(avatar_contradiction_clause,[],[f1399])). 3.98/0.96 tff(f1399,plain,( 3.98/0.96 $false | (~spl45_7 | spl45_9 | ~spl45_10 | ~spl45_36 | ~spl45_37 | ~spl45_38 | ~spl45_39 | ~spl45_44 | ~spl45_60 | ~spl45_67 | ~spl45_68 | ~spl45_70 | ~spl45_107)), 3.98/0.96 inference(global_subsumption,[],[f1346,f1387])). 3.98/0.96 tff(f1307,plain,( 3.98/0.96 ~spl45_112 | ~spl45_113 | ~spl45_15 | spl45_19), 3.98/0.96 inference(avatar_split_clause,[],[f447,f368,f348,f1304,f1300])). 3.98/0.96 tff(f1304,plain,( 3.98/0.96 spl45_113 <=> 0 = sF25), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_113])])). 3.98/0.96 tff(f348,plain,( 3.98/0.96 spl45_15 <=> 0 = sF39), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_15])])). 3.98/0.96 tff(f447,plain,( 3.98/0.96 0 != sF25 | ~$less(sK8,0) | (~spl45_15 | spl45_19)), 3.98/0.96 inference(forward_demodulation,[],[f441,f350])). 3.98/0.96 tff(f350,plain,( 3.98/0.96 0 = sF39 | ~spl45_15), 3.98/0.96 inference(avatar_component_clause,[],[f348])). 3.98/0.96 tff(f441,plain,( 3.98/0.96 ~$less(sK8,0) | sF25 != sF39 | (~spl45_15 | spl45_19)), 3.98/0.96 inference(constrained_superposition,[],[f370,f350])). 3.98/0.96 tff(f1288,plain,( 3.98/0.96 ~spl45_110 | ~spl45_111 | ~spl45_10 | spl45_16), 3.98/0.96 inference(avatar_split_clause,[],[f427,f353,f323,f1285,f1281])). 3.98/0.96 tff(f1285,plain,( 3.98/0.96 spl45_111 <=> sK8 = sF40), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_111])])). 3.98/0.96 tff(f353,plain,( 3.98/0.96 spl45_16 <=> $less(sF40,sK4)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_16])])). 3.98/0.96 tff(f427,plain,( 3.98/0.96 sK8 != sF40 | ~$less(sK8,sK4) | (~spl45_10 | spl45_16)), 3.98/0.96 inference(forward_demodulation,[],[f423,f325])). 3.98/0.96 tff(f423,plain,( 3.98/0.96 ~$less(sK8,sK4) | sF23 != sF40 | (~spl45_10 | spl45_16)), 3.98/0.96 inference(constrained_superposition,[],[f355,f325])). 3.98/0.96 tff(f355,plain,( 3.98/0.96 ~$less(sF40,sK4) | spl45_16), 3.98/0.96 inference(avatar_component_clause,[],[f353])). 3.98/0.96 tff(f1278,plain,( 3.98/0.96 ~spl45_108 | ~spl45_109 | ~spl45_11 | spl45_16), 3.98/0.96 inference(avatar_split_clause,[],[f426,f353,f328,f1275,f1271])). 3.98/0.96 tff(f1271,plain,( 3.98/0.96 spl45_108 <=> $less(sK7,sK4)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_108])])). 3.98/0.96 tff(f1275,plain,( 3.98/0.96 spl45_109 <=> sK7 = sF40), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_109])])). 3.98/0.96 tff(f426,plain,( 3.98/0.96 sK7 != sF40 | ~$less(sK7,sK4) | (~spl45_11 | spl45_16)), 3.98/0.96 inference(forward_demodulation,[],[f422,f330])). 3.98/0.96 tff(f422,plain,( 3.98/0.96 ~$less(sK7,sK4) | sF24 != sF40 | (~spl45_11 | spl45_16)), 3.98/0.96 inference(constrained_superposition,[],[f355,f330])). 3.98/0.96 tff(f1266,plain,( 3.98/0.96 spl45_106 | ~spl45_107 | ~spl45_10 | ~spl45_15), 3.98/0.96 inference(avatar_split_clause,[],[f420,f348,f323,f1263,f1259])). 3.98/0.96 tff(f420,plain,( 3.98/0.96 0 != sF23 | 0 = sK8 | (~spl45_10 | ~spl45_15)), 3.98/0.96 inference(forward_demodulation,[],[f418,f350])). 3.98/0.96 tff(f418,plain,( 3.98/0.96 0 = sK8 | sF23 != sF39 | (~spl45_10 | ~spl45_15)), 3.98/0.96 inference(constrained_superposition,[],[f350,f325])). 3.98/0.96 tff(f1257,plain,( 3.98/0.96 ~spl45_105 | ~spl45_3 | spl45_90), 3.98/0.96 inference(avatar_split_clause,[],[f1183,f1165,f288,f1254])). 3.98/0.96 tff(f1254,plain,( 3.98/0.96 spl45_105 <=> sK4 = sK7), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_105])])). 3.98/0.96 tff(f1165,plain,( 3.98/0.96 spl45_90 <=> $less(sK5,sK7)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_90])])). 3.98/0.96 tff(f1183,plain,( 3.98/0.96 sK4 != sK7 | (~spl45_3 | spl45_90)), 3.98/0.96 inference(constrained_resolution,[],[f1167,f290])). 3.98/0.96 tff(f1167,plain,( 3.98/0.96 ~$less(sK5,sK7) | spl45_90), 3.98/0.96 inference(avatar_component_clause,[],[f1165])). 3.98/0.96 tff(f1250,plain,( 3.98/0.96 ~spl45_103 | ~spl45_104 | ~spl45_10 | spl45_13), 3.98/0.96 inference(avatar_split_clause,[],[f408,f338,f323,f1247,f1243])). 3.98/0.96 tff(f1243,plain,( 3.98/0.96 spl45_103 <=> $less(sF29,sK8)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_103])])). 3.98/0.96 tff(f1247,plain,( 3.98/0.96 spl45_104 <=> sK8 = sF30), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_104])])). 3.98/0.96 tff(f338,plain,( 3.98/0.96 spl45_13 <=> $less(sF29,sF30)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_13])])). 3.98/0.96 tff(f408,plain,( 3.98/0.96 sK8 != sF30 | ~$less(sF29,sK8) | (~spl45_10 | spl45_13)), 3.98/0.96 inference(forward_demodulation,[],[f404,f325])). 3.98/0.96 tff(f404,plain,( 3.98/0.96 ~$less(sF29,sK8) | sF23 != sF30 | (~spl45_10 | spl45_13)), 3.98/0.96 inference(constrained_superposition,[],[f340,f325])). 3.98/0.96 tff(f340,plain,( 3.98/0.96 ~$less(sF29,sF30) | spl45_13), 3.98/0.96 inference(avatar_component_clause,[],[f338])). 3.98/0.96 tff(f1239,plain,( 3.98/0.96 ~spl45_102 | ~spl45_34 | ~spl45_54 | spl45_101), 3.98/0.96 inference(avatar_split_clause,[],[f1233,f1229,f660,f519,f1236])). 3.98/0.96 tff(f1236,plain,( 3.98/0.96 spl45_102 <=> 1 = sF27), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_102])])). 3.98/0.96 tff(f1229,plain,( 3.98/0.96 spl45_101 <=> sK7 = sF30), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_101])])). 3.98/0.96 tff(f1233,plain,( 3.98/0.96 1 != sF27 | (~spl45_34 | ~spl45_54 | spl45_101)), 3.98/0.96 inference(subsumption_resolution,[],[f684,f1231])). 3.98/0.96 tff(f1231,plain,( 3.98/0.96 sK7 != sF30 | spl45_101), 3.98/0.96 inference(avatar_component_clause,[],[f1229])). 3.98/0.96 tff(f684,plain,( 3.98/0.96 sK7 = sF30 | 1 != sF27 | (~spl45_34 | ~spl45_54)), 3.98/0.96 inference(constrained_superposition,[],[f662,f521])). 3.98/0.96 tff(f1232,plain,( 3.98/0.96 ~spl45_100 | ~spl45_101 | ~spl45_11 | spl45_13), 3.98/0.96 inference(avatar_split_clause,[],[f407,f338,f328,f1229,f1225])). 3.98/0.96 tff(f1225,plain,( 3.98/0.96 spl45_100 <=> $less(sF29,sK7)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_100])])). 3.98/0.96 tff(f407,plain,( 3.98/0.96 sK7 != sF30 | ~$less(sF29,sK7) | (~spl45_11 | spl45_13)), 3.98/0.96 inference(forward_demodulation,[],[f403,f330])). 3.98/0.96 tff(f403,plain,( 3.98/0.96 ~$less(sF29,sK7) | sF24 != sF30 | (~spl45_11 | spl45_13)), 3.98/0.96 inference(constrained_superposition,[],[f340,f330])). 3.98/0.96 tff(f1221,plain,( 3.98/0.96 ~spl45_98 | ~spl45_99 | ~spl45_10 | spl45_13), 3.98/0.96 inference(avatar_split_clause,[],[f406,f338,f323,f1218,f1214])). 3.98/0.96 tff(f1218,plain,( 3.98/0.96 spl45_99 <=> sK8 = sF29), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_99])])). 3.98/0.96 tff(f406,plain,( 3.98/0.96 sK8 != sF29 | ~$less(sK8,sF30) | (~spl45_10 | spl45_13)), 3.98/0.96 inference(forward_demodulation,[],[f402,f325])). 3.98/0.96 tff(f402,plain,( 3.98/0.96 ~$less(sK8,sF30) | sF23 != sF29 | (~spl45_10 | spl45_13)), 3.98/0.96 inference(constrained_superposition,[],[f340,f325])). 3.98/0.96 tff(f1211,plain,( 3.98/0.96 ~spl45_96 | ~spl45_97 | ~spl45_11 | spl45_13), 3.98/0.96 inference(avatar_split_clause,[],[f405,f338,f328,f1208,f1204])). 3.98/0.96 tff(f1204,plain,( 3.98/0.96 spl45_96 <=> $less(sK7,sF30)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_96])])). 3.98/0.96 tff(f1208,plain,( 3.98/0.96 spl45_97 <=> sK7 = sF29), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_97])])). 3.98/0.96 tff(f405,plain,( 3.98/0.96 sK7 != sF29 | ~$less(sK7,sF30) | (~spl45_11 | spl45_13)), 3.98/0.96 inference(forward_demodulation,[],[f401,f330])). 3.98/0.96 tff(f401,plain,( 3.98/0.96 ~$less(sK7,sF30) | sF24 != sF29 | (~spl45_11 | spl45_13)), 3.98/0.96 inference(constrained_superposition,[],[f340,f330])). 3.98/0.96 tff(f1199,plain,( 3.98/0.96 ~spl45_94 | ~spl45_95 | ~spl45_10 | spl45_12), 3.98/0.96 inference(avatar_split_clause,[],[f400,f333,f323,f1196,f1192])). 3.98/0.96 tff(f1196,plain,( 3.98/0.96 spl45_95 <=> sK8 = sF25), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_95])])). 3.98/0.96 tff(f333,plain,( 3.98/0.96 spl45_12 <=> $less(sK5,sF25)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_12])])). 3.98/0.96 tff(f400,plain,( 3.98/0.96 sK8 != sF25 | ~$less(sK5,sK8) | (~spl45_10 | spl45_12)), 3.98/0.96 inference(forward_demodulation,[],[f398,f325])). 3.98/0.96 tff(f398,plain,( 3.98/0.96 ~$less(sK5,sK8) | sF23 != sF25 | (~spl45_10 | spl45_12)), 3.98/0.96 inference(constrained_superposition,[],[f335,f325])). 3.98/0.96 tff(f335,plain,( 3.98/0.96 ~$less(sK5,sF25) | spl45_12), 3.98/0.96 inference(avatar_component_clause,[],[f333])). 3.98/0.96 tff(f1190,plain,( 3.98/0.96 ~spl45_93 | ~spl45_6 | spl45_90), 3.98/0.96 inference(avatar_split_clause,[],[f1182,f1165,f303,f1187])). 3.98/0.96 tff(f1187,plain,( 3.98/0.96 spl45_93 <=> n = sK7), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_93])])). 3.98/0.96 tff(f1182,plain,( 3.98/0.96 n != sK7 | (~spl45_6 | spl45_90)), 3.98/0.96 inference(constrained_resolution,[],[f1167,f305])). 3.98/0.96 tff(f1181,plain,( 3.98/0.96 ~spl45_92 | spl45_5 | ~spl45_11 | ~spl45_15 | ~spl45_90), 3.98/0.96 inference(avatar_split_clause,[],[f1175,f1165,f348,f328,f298,f1178])). 3.98/0.96 tff(f298,plain,( 3.98/0.96 spl45_5 <=> $less(sK5,0)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_5])])). 3.98/0.96 tff(f1175,plain,( 3.98/0.96 0 != sF24 | (spl45_5 | ~spl45_11 | ~spl45_15 | ~spl45_90)), 3.98/0.96 inference(subsumption_resolution,[],[f419,f1174])). 3.98/0.96 tff(f1174,plain,( 3.98/0.96 0 != sK7 | (spl45_5 | ~spl45_90)), 3.98/0.96 inference(constrained_resolution,[],[f1166,f300])). 3.98/0.96 tff(f300,plain,( 3.98/0.96 ~$less(sK5,0) | spl45_5), 3.98/0.96 inference(avatar_component_clause,[],[f298])). 3.98/0.96 tff(f1166,plain,( 3.98/0.96 $less(sK5,sK7) | ~spl45_90), 3.98/0.96 inference(avatar_component_clause,[],[f1165])). 3.98/0.96 tff(f419,plain,( 3.98/0.96 0 != sF24 | 0 = sK7 | (~spl45_11 | ~spl45_15)), 3.98/0.96 inference(forward_demodulation,[],[f417,f350])). 3.98/0.96 tff(f417,plain,( 3.98/0.96 0 = sK7 | sF24 != sF39 | (~spl45_11 | ~spl45_15)), 3.98/0.96 inference(constrained_superposition,[],[f350,f330])). 3.98/0.96 tff(f1172,plain,( 3.98/0.96 ~spl45_90 | ~spl45_91 | ~spl45_11 | spl45_12), 3.98/0.96 inference(avatar_split_clause,[],[f399,f333,f328,f1169,f1165])). 3.98/0.96 tff(f1169,plain,( 3.98/0.96 spl45_91 <=> sK7 = sF25), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_91])])). 3.98/0.96 tff(f399,plain,( 3.98/0.96 sK7 != sF25 | ~$less(sK5,sK7) | (~spl45_11 | spl45_12)), 3.98/0.96 inference(forward_demodulation,[],[f397,f330])). 3.98/0.96 tff(f397,plain,( 3.98/0.96 ~$less(sK5,sK7) | sF24 != sF25 | (~spl45_11 | spl45_12)), 3.98/0.96 inference(constrained_superposition,[],[f335,f330])). 3.98/0.96 tff(f1160,plain,( 3.98/0.96 spl45_88 | ~spl45_89 | ~spl45_10 | ~spl45_11), 3.98/0.96 inference(avatar_split_clause,[],[f394,f328,f323,f1157,f1153])). 3.98/0.96 tff(f1153,plain,( 3.98/0.96 spl45_88 <=> sK7 = sK8), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_88])])). 3.98/0.96 tff(f1157,plain,( 3.98/0.96 spl45_89 <=> sK7 = sF23), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_89])])). 3.98/0.96 tff(f394,plain,( 3.98/0.96 sK7 != sF23 | sK7 = sK8 | (~spl45_10 | ~spl45_11)), 3.98/0.96 inference(forward_demodulation,[],[f393,f330])). 3.98/0.96 tff(f393,plain,( 3.98/0.96 sK7 = sK8 | sF23 != sF24 | (~spl45_10 | ~spl45_11)), 3.98/0.96 inference(constrained_superposition,[],[f330,f325])). 3.98/0.96 tff(f1149,plain,( 3.98/0.96 ~spl45_86 | ~spl45_87 | spl45_2 | ~spl45_7), 3.98/0.96 inference(avatar_split_clause,[],[f389,f308,f283,f1146,f1142])). 3.98/0.96 tff(f1142,plain,( 3.98/0.96 spl45_86 <=> 1 = sK9), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_86])])). 3.98/0.96 tff(f1146,plain,( 3.98/0.96 spl45_87 <=> sK4 = sK8), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_87])])). 3.98/0.96 tff(f389,plain,( 3.98/0.96 sK4 != sK8 | 1 != sK9 | (spl45_2 | ~spl45_7)), 3.98/0.96 inference(constrained_resolution,[],[f310,f285])). 3.98/0.96 tff(f1138,plain,( 3.98/0.96 ~spl45_84 | ~spl45_85 | spl45_5 | ~spl45_7), 3.98/0.96 inference(avatar_split_clause,[],[f387,f308,f298,f1135,f1131])). 3.98/0.96 tff(f1135,plain,( 3.98/0.96 spl45_85 <=> sK5 = sK8), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_85])])). 3.98/0.96 tff(f387,plain,( 3.98/0.96 sK5 != sK8 | 0 != sK9 | (spl45_5 | ~spl45_7)), 3.98/0.96 inference(constrained_resolution,[],[f310,f300])). 3.98/0.96 tff(f1068,plain,( 3.98/0.96 ~spl45_82 | ~spl45_83 | spl45_2 | ~spl45_3), 3.98/0.96 inference(avatar_split_clause,[],[f378,f288,f283,f1065,f1061])). 3.98/0.96 tff(f1061,plain,( 3.98/0.96 spl45_82 <=> 1 = sK4), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_82])])). 3.98/0.96 tff(f1065,plain,( 3.98/0.96 spl45_83 <=> sK4 = sK5), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_83])])). 3.98/0.96 tff(f378,plain,( 3.98/0.96 sK4 != sK5 | 1 != sK4 | (spl45_2 | ~spl45_3)), 3.98/0.96 inference(constrained_resolution,[],[f290,f285])). 3.98/0.96 tff(f960,plain,( 3.98/0.96 spl45_81 | ~spl45_41 | ~spl45_43 | ~spl45_71), 3.98/0.96 inference(avatar_split_clause,[],[f933,f767,f568,f558,f957])). 3.98/0.96 tff(f957,plain,( 3.98/0.96 spl45_81 <=> path(sF27,sK5)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_81])])). 3.98/0.96 tff(f933,plain,( 3.98/0.96 path(sF27,sK5) | (~spl45_41 | ~spl45_43 | ~spl45_71)), 3.98/0.96 inference(global_subsumption,[],[f150,f143,f932])). 3.98/0.96 tff(f932,plain,( 3.98/0.96 path(sF27,sK5) | ~$less(sK5,sK4) | $less(sK5,0) | (~spl45_41 | ~spl45_43 | ~spl45_71)), 3.98/0.96 inference(forward_demodulation,[],[f931,f570])). 3.98/0.96 tff(f931,plain,( 3.98/0.96 path(tb2t(sF26),sK5) | ~$less(sK5,sK4) | $less(sK5,0) | (~spl45_41 | ~spl45_71)), 3.98/0.96 inference(forward_demodulation,[],[f920,f769])). 3.98/0.96 tff(f920,plain,( 3.98/0.96 path(tb2t(get(int,int,sF13,sF21)),sK5) | ~$less(sK5,sK4) | $less(sK5,0) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f249,f560])). 3.98/0.96 tff(f150,plain,( 3.98/0.96 ~$less(sK5,0)), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f831,plain,( 3.98/0.96 spl45_80 | ~spl45_46), 3.98/0.96 inference(avatar_split_clause,[],[f636,f583,f828])). 3.98/0.96 tff(f828,plain,( 3.98/0.96 spl45_80 <=> sF35 = t2tb(sF36)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_80])])). 3.98/0.96 tff(f636,plain,( 3.98/0.96 sF35 = t2tb(sF36) | ~spl45_46), 3.98/0.96 inference(superposition,[],[f165,f585])). 3.98/0.96 tff(f819,plain,( 3.98/0.96 spl45_79 | ~spl45_43), 3.98/0.96 inference(avatar_split_clause,[],[f634,f568,f816])). 3.98/0.96 tff(f816,plain,( 3.98/0.96 spl45_79 <=> sF26 = t2tb(sF27)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_79])])). 3.98/0.96 tff(f634,plain,( 3.98/0.96 sF26 = t2tb(sF27) | ~spl45_43), 3.98/0.96 inference(superposition,[],[f165,f570])). 3.98/0.96 tff(f810,plain,( 3.98/0.96 spl45_78 | ~spl45_39), 3.98/0.96 inference(avatar_split_clause,[],[f632,f548,f807])). 3.98/0.96 tff(f807,plain,( 3.98/0.96 spl45_78 <=> sF18 = t2tb(sF19)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_78])])). 3.98/0.96 tff(f632,plain,( 3.98/0.96 sF18 = t2tb(sF19) | ~spl45_39), 3.98/0.96 inference(superposition,[],[f165,f550])). 3.98/0.96 tff(f804,plain,( 3.98/0.96 spl45_77 | ~spl45_37), 3.98/0.96 inference(avatar_split_clause,[],[f631,f537,f801])). 3.98/0.96 tff(f801,plain,( 3.98/0.96 spl45_77 <=> sF15 = t2tb(sF16)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_77])])). 3.98/0.96 tff(f631,plain,( 3.98/0.96 sF15 = t2tb(sF16) | ~spl45_37), 3.98/0.96 inference(superposition,[],[f165,f539])). 3.98/0.96 tff(f797,plain,( 3.98/0.96 spl45_76 | ~spl45_45), 3.98/0.96 inference(avatar_split_clause,[],[f623,f578,f794])). 3.98/0.96 tff(f794,plain,( 3.98/0.96 spl45_76 <=> sF29 = tb2t(sF34)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_76])])). 3.98/0.96 tff(f623,plain,( 3.98/0.96 sF29 = tb2t(sF34) | ~spl45_45), 3.98/0.96 inference(superposition,[],[f163,f580])). 3.98/0.96 tff(f163,plain,( 3.98/0.96 ( ! [X0 : $int] : (tb2t(t2tb(X0)) = X0) )), 3.98/0.96 inference(cnf_transformation,[],[f55])). 3.98/0.96 tff(f55,plain,( 3.98/0.96 ! [X0 : $int] : tb2t(t2tb(X0)) = X0), 3.98/0.96 inference(rectify,[],[f13])). 3.98/0.96 tff(f13,axiom,( 3.98/0.96 ! [X4 : $int] : tb2t(t2tb(X4)) = X4), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL)). 3.98/0.96 tff(f790,plain,( 3.98/0.96 spl45_75 | ~spl45_38), 3.98/0.96 inference(avatar_split_clause,[],[f622,f543,f787])). 3.98/0.96 tff(f787,plain,( 3.98/0.96 spl45_75 <=> sK9 = tb2t(sF17)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_75])])). 3.98/0.96 tff(f622,plain,( 3.98/0.96 sK9 = tb2t(sF17) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f163,f545])). 3.98/0.96 tff(f785,plain,( 3.98/0.96 spl45_74), 3.98/0.96 inference(avatar_split_clause,[],[f251,f782])). 3.98/0.96 tff(f251,plain,( 3.98/0.96 get(int,int,sF13,sF34) = sF35), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f780,plain,( 3.98/0.96 spl45_73), 3.98/0.96 inference(avatar_split_clause,[],[f240,f777])). 3.98/0.96 tff(f777,plain,( 3.98/0.96 spl45_73 <=> get(int,int,sF20,sF31) = sF32), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_73])])). 3.98/0.96 tff(f240,plain,( 3.98/0.96 get(int,int,sF20,sF31) = sF32), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f775,plain,( 3.98/0.96 spl45_72 | ~spl45_36), 3.98/0.96 inference(avatar_split_clause,[],[f621,f532,f772])). 3.98/0.96 tff(f621,plain,( 3.98/0.96 sK8 = tb2t(sF14) | ~spl45_36), 3.98/0.96 inference(superposition,[],[f163,f534])). 3.98/0.96 tff(f770,plain,( 3.98/0.96 spl45_71), 3.98/0.96 inference(avatar_split_clause,[],[f232,f767])). 3.98/0.96 tff(f765,plain,( 3.98/0.96 spl45_70), 3.98/0.96 inference(avatar_split_clause,[],[f219,f762])). 3.98/0.96 tff(f760,plain,( 3.98/0.96 spl45_69 | ~spl45_41), 3.98/0.96 inference(avatar_split_clause,[],[f620,f558,f757])). 3.98/0.96 tff(f757,plain,( 3.98/0.96 spl45_69 <=> sK5 = tb2t(sF21)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_69])])). 3.98/0.96 tff(f620,plain,( 3.98/0.96 sK5 = tb2t(sF21) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f163,f560])). 3.98/0.96 tff(f755,plain,( 3.98/0.96 spl45_68), 3.98/0.96 inference(avatar_split_clause,[],[f216,f752])). 3.98/0.96 tff(f748,plain,( 3.98/0.96 spl45_67 | ~spl45_44), 3.98/0.96 inference(avatar_split_clause,[],[f619,f573,f745])). 3.98/0.96 tff(f619,plain,( 3.98/0.96 0 = tb2t(sF31) | ~spl45_44), 3.98/0.96 inference(superposition,[],[f163,f575])). 3.98/0.96 tff(f743,plain,( 3.98/0.96 spl45_66 | ~spl45_40), 3.98/0.96 inference(avatar_split_clause,[],[f618,f553,f740])). 3.98/0.96 tff(f740,plain,( 3.98/0.96 spl45_66 <=> sK3 = tb2t1(sF20)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_66])])). 3.98/0.96 tff(f553,plain,( 3.98/0.96 spl45_40 <=> t2tb1(sK3) = sF20), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_40])])). 3.98/0.96 tff(f618,plain,( 3.98/0.96 sK3 = tb2t1(sF20) | ~spl45_40), 3.98/0.96 inference(superposition,[],[f162,f555])). 3.98/0.96 tff(f555,plain,( 3.98/0.96 t2tb1(sK3) = sF20 | ~spl45_40), 3.98/0.96 inference(avatar_component_clause,[],[f553])). 3.98/0.96 tff(f162,plain,( 3.98/0.96 ( ! [X0 : map_int_int] : (tb2t1(t2tb1(X0)) = X0) )), 3.98/0.96 inference(cnf_transformation,[],[f54])). 3.98/0.96 tff(f54,plain,( 3.98/0.96 ! [X0 : map_int_int] : tb2t1(t2tb1(X0)) = X0), 3.98/0.96 inference(rectify,[],[f17])). 3.98/0.96 tff(f17,axiom,( 3.98/0.96 ! [X4 : map_int_int] : tb2t1(t2tb1(X4)) = X4), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1)). 3.98/0.96 tff(f738,plain,( 3.98/0.96 spl45_65 | ~spl45_35), 3.98/0.96 inference(avatar_split_clause,[],[f617,f526,f735])). 3.98/0.96 tff(f735,plain,( 3.98/0.96 spl45_65 <=> sK2 = tb2t1(sF13)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_65])])). 3.98/0.96 tff(f526,plain,( 3.98/0.96 spl45_35 <=> t2tb1(sK2) = sF13), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_35])])). 3.98/0.96 tff(f617,plain,( 3.98/0.96 sK2 = tb2t1(sF13) | ~spl45_35), 3.98/0.96 inference(superposition,[],[f162,f528])). 3.98/0.96 tff(f528,plain,( 3.98/0.96 t2tb1(sK2) = sF13 | ~spl45_35), 3.98/0.96 inference(avatar_component_clause,[],[f526])). 3.98/0.96 tff(f733,plain,( 3.98/0.96 spl45_64 | ~spl45_30 | ~spl45_47), 3.98/0.96 inference(avatar_split_clause,[],[f645,f588,f497,f730])). 3.98/0.96 tff(f645,plain,( 3.98/0.96 sF43 = set(int,int,sF41,sF31,sF32) | (~spl45_30 | ~spl45_47)), 3.98/0.96 inference(backward_demodulation,[],[f263,f642])). 3.98/0.96 tff(f263,plain,( 3.98/0.96 set(int,int,sF41,sF31,sF42) = sF43), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f727,plain,( 3.98/0.96 spl45_63), 3.98/0.96 inference(avatar_split_clause,[],[f261,f724])). 3.98/0.96 tff(f724,plain,( 3.98/0.96 spl45_63 <=> const(int,int,sF31) = sF41), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_63])])). 3.98/0.96 tff(f261,plain,( 3.98/0.96 const(int,int,sF31) = sF41), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f715,plain,( 3.98/0.96 spl45_62 | ~spl45_30), 3.98/0.96 inference(avatar_split_clause,[],[f635,f497,f712])). 3.98/0.96 tff(f712,plain,( 3.98/0.96 spl45_62 <=> sF32 = t2tb(-1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_62])])). 3.98/0.96 tff(f710,plain,( 3.98/0.96 spl45_61 | ~spl45_33), 3.98/0.96 inference(avatar_split_clause,[],[f630,f512,f707])). 3.98/0.96 tff(f707,plain,( 3.98/0.96 spl45_61 <=> sF43 = t2tb1(sK0)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_61])])). 3.98/0.96 tff(f512,plain,( 3.98/0.96 spl45_33 <=> sK0 = tb2t1(sF43)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_33])])). 3.98/0.96 tff(f630,plain,( 3.98/0.96 sF43 = t2tb1(sK0) | ~spl45_33), 3.98/0.96 inference(superposition,[],[f164,f514])). 3.98/0.96 tff(f514,plain,( 3.98/0.96 sK0 = tb2t1(sF43) | ~spl45_33), 3.98/0.96 inference(avatar_component_clause,[],[f512])). 3.98/0.96 tff(f164,plain,( 3.98/0.96 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 3.98/0.96 inference(cnf_transformation,[],[f56])). 3.98/0.96 tff(f56,plain,( 3.98/0.96 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 3.98/0.96 inference(rectify,[],[f18])). 3.98/0.96 tff(f18,axiom,( 3.98/0.96 ! [X7 : uni] : t2tb1(tb2t1(X7)) = X7), 3.98/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 3.98/0.96 tff(f705,plain,( 3.98/0.96 spl45_60 | ~spl45_31 | ~spl45_44), 3.98/0.96 inference(avatar_split_clause,[],[f648,f573,f502,f702])). 3.98/0.96 tff(f502,plain,( 3.98/0.96 spl45_31 <=> 0 = tb2t(sF38)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_31])])). 3.98/0.96 tff(f648,plain,( 3.98/0.96 sF31 = get(int,int,sF13,sF31) | (~spl45_31 | ~spl45_44)), 3.98/0.96 inference(backward_demodulation,[],[f255,f646])). 3.98/0.96 tff(f646,plain,( 3.98/0.96 sF31 = sF38 | (~spl45_31 | ~spl45_44)), 3.98/0.96 inference(forward_demodulation,[],[f637,f575])). 3.98/0.96 tff(f637,plain,( 3.98/0.96 t2tb(0) = sF38 | ~spl45_31), 3.98/0.96 inference(superposition,[],[f165,f504])). 3.98/0.96 tff(f504,plain,( 3.98/0.96 0 = tb2t(sF38) | ~spl45_31), 3.98/0.96 inference(avatar_component_clause,[],[f502])). 3.98/0.96 tff(f255,plain,( 3.98/0.96 get(int,int,sF13,sF31) = sF38), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f700,plain,( 3.98/0.96 spl45_59 | ~spl45_28 | ~spl45_36), 3.98/0.96 inference(avatar_split_clause,[],[f641,f532,f487,f697])). 3.98/0.96 tff(f487,plain,( 3.98/0.96 spl45_28 <=> sK8 = tb2t(sF22)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_28])])). 3.98/0.96 tff(f641,plain,( 3.98/0.96 sF14 = get(int,int,sF20,sF21) | (~spl45_28 | ~spl45_36)), 3.98/0.96 inference(backward_demodulation,[],[f224,f639])). 3.98/0.96 tff(f639,plain,( 3.98/0.96 sF14 = sF22 | (~spl45_28 | ~spl45_36)), 3.98/0.96 inference(forward_demodulation,[],[f633,f534])). 3.98/0.96 tff(f633,plain,( 3.98/0.96 t2tb(sK8) = sF22 | ~spl45_28), 3.98/0.96 inference(superposition,[],[f165,f489])). 3.98/0.96 tff(f489,plain,( 3.98/0.96 sK8 = tb2t(sF22) | ~spl45_28), 3.98/0.96 inference(avatar_component_clause,[],[f487])). 3.98/0.96 tff(f224,plain,( 3.98/0.96 get(int,int,sF20,sF21) = sF22), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f683,plain,( 3.98/0.96 spl45_58), 3.98/0.96 inference(avatar_split_clause,[],[f268,f680])). 3.98/0.96 tff(f680,plain,( 3.98/0.96 spl45_58 <=> sF40 = $sum(n,-1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_58])])). 3.98/0.96 tff(f268,plain,( 3.98/0.96 sF40 = $sum(n,-1)), 3.98/0.96 inference(backward_demodulation,[],[f258,f266])). 3.98/0.96 tff(f266,plain,( 3.98/0.96 sF28 = -1), 3.98/0.96 inference(evaluation,[],[f235])). 3.98/0.96 tff(f235,plain,( 3.98/0.96 $uminus(1) = sF28), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f258,plain,( 3.98/0.96 $sum(n,sF28) = sF40), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f678,plain,( 3.98/0.96 spl45_57), 3.98/0.96 inference(avatar_split_clause,[],[f267,f675])). 3.98/0.96 tff(f267,plain,( 3.98/0.96 sF29 = $sum(sK4,-1)), 3.98/0.96 inference(backward_demodulation,[],[f236,f266])). 3.98/0.96 tff(f236,plain,( 3.98/0.96 $sum(sK4,sF28) = sF29), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f673,plain,( 3.98/0.96 spl45_56 | ~spl45_31 | ~spl45_44), 3.98/0.96 inference(avatar_split_clause,[],[f646,f573,f502,f670])). 3.98/0.96 tff(f670,plain,( 3.98/0.96 spl45_56 <=> sF31 = sF38), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_56])])). 3.98/0.96 tff(f668,plain,( 3.98/0.96 spl45_55), 3.98/0.96 inference(avatar_split_clause,[],[f253,f665])). 3.98/0.96 tff(f253,plain,( 3.98/0.96 $sum(sK1,sF36) = sF37), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f663,plain,( 3.98/0.96 spl45_54), 3.98/0.96 inference(avatar_split_clause,[],[f237,f660])). 3.98/0.96 tff(f237,plain,( 3.98/0.96 $sum(sK6,sF27) = sF30), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f658,plain,( 3.98/0.96 spl45_53 | ~spl45_28 | ~spl45_36), 3.98/0.96 inference(avatar_split_clause,[],[f639,f532,f487,f655])). 3.98/0.96 tff(f655,plain,( 3.98/0.96 spl45_53 <=> sF14 = sF22), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_53])])). 3.98/0.96 tff(f653,plain,( 3.98/0.96 spl45_52 | ~spl45_30 | ~spl45_47), 3.98/0.96 inference(avatar_split_clause,[],[f642,f588,f497,f650])). 3.98/0.96 tff(f650,plain,( 3.98/0.96 spl45_52 <=> sF32 = sF42), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_52])])). 3.98/0.96 tff(f629,plain,( 3.98/0.96 spl45_51 | ~spl45_44), 3.98/0.96 inference(avatar_split_clause,[],[f614,f573,f626])). 3.98/0.96 tff(f626,plain,( 3.98/0.96 spl45_51 <=> sort(int,sF31)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_51])])). 3.98/0.96 tff(f614,plain,( 3.98/0.96 sort(int,sF31) | ~spl45_44), 3.98/0.96 inference(superposition,[],[f161,f575])). 3.98/0.96 tff(f613,plain,( 3.98/0.96 spl45_50 | ~spl45_41), 3.98/0.96 inference(avatar_split_clause,[],[f603,f558,f610])). 3.98/0.96 tff(f610,plain,( 3.98/0.96 spl45_50 <=> sort(int,sF21)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_50])])). 3.98/0.96 tff(f603,plain,( 3.98/0.96 sort(int,sF21) | ~spl45_41), 3.98/0.96 inference(superposition,[],[f161,f560])). 3.98/0.96 tff(f608,plain,( 3.98/0.96 spl45_49 | ~spl45_38), 3.98/0.96 inference(avatar_split_clause,[],[f600,f543,f605])). 3.98/0.96 tff(f605,plain,( 3.98/0.96 spl45_49 <=> sort(int,sF17)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_49])])). 3.98/0.96 tff(f600,plain,( 3.98/0.96 sort(int,sF17) | ~spl45_38), 3.98/0.96 inference(superposition,[],[f161,f545])). 3.98/0.96 tff(f597,plain,( 3.98/0.96 spl45_48 | ~spl45_36), 3.98/0.96 inference(avatar_split_clause,[],[f592,f532,f594])). 3.98/0.96 tff(f594,plain,( 3.98/0.96 spl45_48 <=> sort(int,sF14)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_48])])). 3.98/0.96 tff(f592,plain,( 3.98/0.96 sort(int,sF14) | ~spl45_36), 3.98/0.96 inference(superposition,[],[f161,f534])). 3.98/0.96 tff(f591,plain,( 3.98/0.96 spl45_47), 3.98/0.96 inference(avatar_split_clause,[],[f269,f588])). 3.98/0.96 tff(f269,plain,( 3.98/0.96 sF42 = t2tb(-1)), 3.98/0.96 inference(backward_demodulation,[],[f262,f266])). 3.98/0.96 tff(f262,plain,( 3.98/0.96 t2tb(sF28) = sF42), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f586,plain,( 3.98/0.96 spl45_46), 3.98/0.96 inference(avatar_split_clause,[],[f252,f583])). 3.98/0.96 tff(f252,plain,( 3.98/0.96 tb2t(sF35) = sF36), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f581,plain,( 3.98/0.96 spl45_45), 3.98/0.96 inference(avatar_split_clause,[],[f250,f578])). 3.98/0.96 tff(f250,plain,( 3.98/0.96 t2tb(sF29) = sF34), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f576,plain,( 3.98/0.96 spl45_44), 3.98/0.96 inference(avatar_split_clause,[],[f239,f573])). 3.98/0.96 tff(f239,plain,( 3.98/0.96 t2tb(0) = sF31), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f571,plain,( 3.98/0.96 spl45_43), 3.98/0.96 inference(avatar_split_clause,[],[f233,f568])). 3.98/0.96 tff(f566,plain,( 3.98/0.96 spl45_42), 3.98/0.96 inference(avatar_split_clause,[],[f229,f563])). 3.98/0.96 tff(f229,plain,( 3.98/0.96 f(sK4) = sF25), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f561,plain,( 3.98/0.96 spl45_41), 3.98/0.96 inference(avatar_split_clause,[],[f223,f558])). 3.98/0.96 tff(f556,plain,( 3.98/0.96 spl45_40), 3.98/0.96 inference(avatar_split_clause,[],[f222,f553])). 3.98/0.96 tff(f551,plain,( 3.98/0.96 spl45_39), 3.98/0.96 inference(avatar_split_clause,[],[f220,f548])). 3.98/0.96 tff(f546,plain,( 3.98/0.96 spl45_38), 3.98/0.96 inference(avatar_split_clause,[],[f218,f543])). 3.98/0.96 tff(f540,plain,( 3.98/0.96 spl45_37), 3.98/0.96 inference(avatar_split_clause,[],[f217,f537])). 3.98/0.96 tff(f535,plain,( 3.98/0.96 spl45_36), 3.98/0.96 inference(avatar_split_clause,[],[f215,f532])). 3.98/0.96 tff(f529,plain,( 3.98/0.96 spl45_35), 3.98/0.96 inference(avatar_split_clause,[],[f214,f526])). 3.98/0.96 tff(f522,plain,( 3.98/0.96 spl45_34), 3.98/0.96 inference(avatar_split_clause,[],[f271,f519])). 3.98/0.96 tff(f271,plain,( 3.98/0.96 $sum(sK6,1) = sK7), 3.98/0.96 inference(backward_demodulation,[],[f227,f228])). 3.98/0.96 tff(f228,plain,( 3.98/0.96 sK7 = sF24), 3.98/0.96 inference(definition_folding,[],[f149,f227])). 3.98/0.96 tff(f149,plain,( 3.98/0.96 $sum(sK6,1) = sK7), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f227,plain,( 3.98/0.96 $sum(sK6,1) = sF24), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f515,plain,( 3.98/0.96 spl45_33), 3.98/0.96 inference(avatar_split_clause,[],[f276,f512])). 3.98/0.96 tff(f276,plain,( 3.98/0.96 sK0 = tb2t1(sF43)), 3.98/0.96 inference(backward_demodulation,[],[f264,f265])). 3.98/0.96 tff(f265,plain,( 3.98/0.96 sK0 = sF44), 3.98/0.96 inference(definition_folding,[],[f125,f264,f263,f262,f235,f239,f261,f239])). 3.98/0.96 tff(f125,plain,( 3.98/0.96 tb2t1(set(int,int,const(int,int,t2tb(0)),t2tb(0),t2tb($uminus(1)))) = sK0), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f264,plain,( 3.98/0.96 tb2t1(sF43) = sF44), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f510,plain,( 3.98/0.96 ~spl45_32 | ~spl45_7 | spl45_19), 3.98/0.96 inference(avatar_split_clause,[],[f438,f368,f308,f507])). 3.98/0.96 tff(f507,plain,( 3.98/0.96 spl45_32 <=> sK9 = sF25), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_32])])). 3.98/0.96 tff(f438,plain,( 3.98/0.96 sK9 != sF25 | (~spl45_7 | spl45_19)), 3.98/0.96 inference(constrained_resolution,[],[f370,f310])). 3.98/0.96 tff(f505,plain,( 3.98/0.96 spl45_31), 3.98/0.96 inference(avatar_split_clause,[],[f275,f502])). 3.98/0.96 tff(f275,plain,( 3.98/0.96 0 = tb2t(sF38)), 3.98/0.96 inference(backward_demodulation,[],[f256,f257])). 3.98/0.96 tff(f257,plain,( 3.98/0.96 0 = sF39), 3.98/0.96 inference(definition_folding,[],[f131,f256,f255,f239,f214])). 3.98/0.96 tff(f131,plain,( 3.98/0.96 0 = tb2t(get(int,int,t2tb1(sK2),t2tb(0)))), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f256,plain,( 3.98/0.96 tb2t(sF38) = sF39), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f500,plain,( 3.98/0.96 spl45_30), 3.98/0.96 inference(avatar_split_clause,[],[f274,f497])). 3.98/0.96 tff(f274,plain,( 3.98/0.96 tb2t(sF32) = -1), 3.98/0.96 inference(backward_demodulation,[],[f241,f273])). 3.98/0.96 tff(f273,plain,( 3.98/0.96 sF33 = -1), 3.98/0.96 inference(forward_demodulation,[],[f242,f266])). 3.98/0.96 tff(f242,plain,( 3.98/0.96 sF28 = sF33), 3.98/0.96 inference(definition_folding,[],[f140,f241,f240,f239,f222,f235])). 3.98/0.96 tff(f140,plain,( 3.98/0.96 $uminus(1) = tb2t(get(int,int,t2tb1(sK3),t2tb(0)))), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f241,plain,( 3.98/0.96 tb2t(sF32) = sF33), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f495,plain,( 3.98/0.96 ~spl45_29 | ~spl45_15 | spl45_17), 3.98/0.96 inference(avatar_split_clause,[],[f434,f358,f348,f492])). 3.98/0.96 tff(f492,plain,( 3.98/0.96 spl45_29 <=> 0 = sF40), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_29])])). 3.98/0.96 tff(f358,plain,( 3.98/0.96 spl45_17 <=> $less(sF40,1)), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_17])])). 3.98/0.96 tff(f434,plain,( 3.98/0.96 0 != sF40 | (~spl45_15 | spl45_17)), 3.98/0.96 inference(forward_demodulation,[],[f433,f350])). 3.98/0.96 tff(f433,plain,( 3.98/0.96 sF39 != sF40 | (~spl45_15 | spl45_17)), 3.98/0.96 inference(evaluation,[],[f429])). 3.98/0.96 tff(f429,plain,( 3.98/0.96 ~$less(0,1) | sF39 != sF40 | (~spl45_15 | spl45_17)), 3.98/0.96 inference(constrained_superposition,[],[f360,f350])). 3.98/0.96 tff(f360,plain,( 3.98/0.96 ~$less(sF40,1) | spl45_17), 3.98/0.96 inference(avatar_component_clause,[],[f358])). 3.98/0.96 tff(f490,plain,( 3.98/0.96 spl45_28), 3.98/0.96 inference(avatar_split_clause,[],[f270,f487])). 3.98/0.96 tff(f270,plain,( 3.98/0.96 sK8 = tb2t(sF22)), 3.98/0.96 inference(backward_demodulation,[],[f225,f226])). 3.98/0.96 tff(f226,plain,( 3.98/0.96 sK8 = sF23), 3.98/0.96 inference(definition_folding,[],[f152,f225,f224,f223,f222])). 3.98/0.96 tff(f152,plain,( 3.98/0.96 tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))) = sK8), 3.98/0.96 inference(cnf_transformation,[],[f116])). 3.98/0.96 tff(f225,plain,( 3.98/0.96 tb2t(sF22) = sF23), 3.98/0.96 introduced(function_definition,[])). 3.98/0.96 tff(f485,plain,( 3.98/0.96 ~spl45_27 | ~spl45_3 | spl45_12), 3.98/0.96 inference(avatar_split_clause,[],[f396,f333,f288,f482])). 3.98/0.96 tff(f482,plain,( 3.98/0.96 spl45_27 <=> sK4 = sF25), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_27])])). 3.98/0.96 tff(f396,plain,( 3.98/0.96 sK4 != sF25 | (~spl45_3 | spl45_12)), 3.98/0.96 inference(constrained_resolution,[],[f335,f290])). 3.98/0.96 tff(f479,plain,( 3.98/0.96 ~spl45_26 | ~spl45_6 | spl45_12), 3.98/0.96 inference(avatar_split_clause,[],[f395,f333,f303,f476])). 3.98/0.96 tff(f476,plain,( 3.98/0.96 spl45_26 <=> n = sF25), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_26])])). 3.98/0.96 tff(f395,plain,( 3.98/0.96 n != sF25 | (~spl45_6 | spl45_12)), 3.98/0.96 inference(constrained_resolution,[],[f335,f305])). 3.98/0.96 tff(f474,plain,( 3.98/0.96 spl45_25), 3.98/0.96 inference(avatar_split_clause,[],[f266,f471])). 3.98/0.96 tff(f471,plain,( 3.98/0.96 spl45_25 <=> sF28 = -1), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_25])])). 3.98/0.96 tff(f468,plain,( 3.98/0.96 ~spl45_24 | ~spl45_3 | spl45_5), 3.98/0.96 inference(avatar_split_clause,[],[f383,f298,f288,f465])). 3.98/0.96 tff(f465,plain,( 3.98/0.96 spl45_24 <=> 0 = sK4), 3.98/0.96 introduced(avatar_definition,[new_symbols(naming,[spl45_24])])). 3.98/0.97 tff(f383,plain,( 3.98/0.97 0 != sK4 | (~spl45_3 | spl45_5)), 3.98/0.97 inference(constrained_resolution,[],[f300,f290])). 3.98/0.97 tff(f463,plain,( 3.98/0.97 spl45_23), 3.98/0.97 inference(avatar_split_clause,[],[f157,f460])). 3.98/0.97 tff(f460,plain,( 3.98/0.97 spl45_23 <=> path(0,0)), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_23])])). 3.98/0.97 tff(f157,plain,( 3.98/0.97 path(0,0)), 3.98/0.97 inference(cnf_transformation,[],[f25])). 3.98/0.97 tff(f25,axiom,( 3.98/0.97 path(0,0)), 3.98/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path0)). 3.98/0.97 tff(f458,plain,( 3.98/0.97 ~spl45_22), 3.98/0.97 inference(avatar_split_clause,[],[f156,f455])). 3.98/0.97 tff(f455,plain,( 3.98/0.97 spl45_22 <=> true = false), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_22])])). 3.98/0.97 tff(f156,plain,( 3.98/0.97 true != false), 3.98/0.97 inference(cnf_transformation,[],[f6])). 3.98/0.97 tff(f6,axiom,( 3.98/0.97 true != false), 3.98/0.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 3.98/0.97 tff(f453,plain,( 3.98/0.97 ~spl45_21 | ~spl45_1 | spl45_4), 3.98/0.97 inference(avatar_split_clause,[],[f381,f293,f278,f450])). 3.98/0.97 tff(f450,plain,( 3.98/0.97 spl45_21 <=> 0 = n), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_21])])). 3.98/0.97 tff(f278,plain,( 3.98/0.97 spl45_1 <=> $less(0,n)), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_1])])). 3.98/0.97 tff(f293,plain,( 3.98/0.97 spl45_4 <=> $less(n,0)), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_4])])). 3.98/0.97 tff(f381,plain,( 3.98/0.97 0 != n | (~spl45_1 | spl45_4)), 3.98/0.97 inference(duplicate_literal_removal,[],[f380])). 3.98/0.97 tff(f380,plain,( 3.98/0.97 0 != n | 0 != n | (~spl45_1 | spl45_4)), 3.98/0.97 inference(constrained_resolution,[],[f295,f280])). 3.98/0.97 tff(f280,plain,( 3.98/0.97 $less(0,n) | ~spl45_1), 3.98/0.97 inference(avatar_component_clause,[],[f278])). 3.98/0.97 tff(f295,plain,( 3.98/0.97 ~$less(n,0) | spl45_4), 3.98/0.97 inference(avatar_component_clause,[],[f293])). 3.98/0.97 tff(f376,plain,( 3.98/0.97 spl45_20), 3.98/0.97 inference(avatar_split_clause,[],[f273,f373])). 3.98/0.97 tff(f373,plain,( 3.98/0.97 spl45_20 <=> sF33 = -1), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_20])])). 3.98/0.97 tff(f371,plain,( 3.98/0.97 ~spl45_19), 3.98/0.97 inference(avatar_split_clause,[],[f272,f368])). 3.98/0.97 tff(f272,plain,( 3.98/0.97 ~$less(sK8,sF25)), 3.98/0.97 inference(forward_demodulation,[],[f230,f226])). 3.98/0.97 tff(f230,plain,( 3.98/0.97 ~$less(sF23,sF25)), 3.98/0.97 inference(definition_folding,[],[f148,f229,f225,f224,f223,f222])). 3.98/0.97 tff(f148,plain,( 3.98/0.97 ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK5))),f(sK4))), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f366,plain,( 3.98/0.97 spl45_18), 3.98/0.97 inference(avatar_split_clause,[],[f265,f363])). 3.98/0.97 tff(f363,plain,( 3.98/0.97 spl45_18 <=> sK0 = sF44), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_18])])). 3.98/0.97 tff(f361,plain,( 3.98/0.97 ~spl45_17), 3.98/0.97 inference(avatar_split_clause,[],[f260,f358])). 3.98/0.97 tff(f260,plain,( 3.98/0.97 ~$less(sF40,1)), 3.98/0.97 inference(definition_folding,[],[f128,f258,f235])). 3.98/0.97 tff(f128,plain,( 3.98/0.97 ~$less($sum(n,$uminus(1)),1)), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f356,plain,( 3.98/0.97 ~spl45_16), 3.98/0.97 inference(avatar_split_clause,[],[f259,f353])). 3.98/0.97 tff(f259,plain,( 3.98/0.97 ~$less(sF40,sK4)), 3.98/0.97 inference(definition_folding,[],[f130,f258,f235])). 3.98/0.97 tff(f130,plain,( 3.98/0.97 ~$less($sum(n,$uminus(1)),sK4)), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f351,plain,( 3.98/0.97 spl45_15), 3.98/0.97 inference(avatar_split_clause,[],[f257,f348])). 3.98/0.97 tff(f346,plain,( 3.98/0.97 ~spl45_14), 3.98/0.97 inference(avatar_split_clause,[],[f254,f343])). 3.98/0.97 tff(f343,plain,( 3.98/0.97 spl45_14 <=> $less(sF29,sF37)), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_14])])). 3.98/0.97 tff(f254,plain,( 3.98/0.97 ~$less(sF29,sF37)), 3.98/0.97 inference(definition_folding,[],[f132,f253,f252,f251,f250,f236,f235,f214,f236,f235])). 3.98/0.97 tff(f132,plain,( 3.98/0.97 ~$less($sum(sK4,$uminus(1)),$sum(sK1,tb2t(get(int,int,t2tb1(sK2),t2tb($sum(sK4,$uminus(1)))))))), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f341,plain,( 3.98/0.97 ~spl45_13), 3.98/0.97 inference(avatar_split_clause,[],[f238,f338])). 3.98/0.97 tff(f238,plain,( 3.98/0.97 ~$less(sF29,sF30)), 3.98/0.97 inference(definition_folding,[],[f141,f237,f233,f232,f223,f214,f236,f235])). 3.98/0.97 tff(f141,plain,( 3.98/0.97 ~$less($sum(sK4,$uminus(1)),$sum(sK6,tb2t(get(int,int,t2tb1(sK2),t2tb(sK5)))))), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f336,plain,( 3.98/0.97 ~spl45_12), 3.98/0.97 inference(avatar_split_clause,[],[f231,f333])). 3.98/0.97 tff(f231,plain,( 3.98/0.97 ~$less(sK5,sF25)), 3.98/0.97 inference(definition_folding,[],[f144,f229])). 3.98/0.97 tff(f144,plain,( 3.98/0.97 ~$less(sK5,f(sK4))), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f331,plain,( 3.98/0.97 spl45_11), 3.98/0.97 inference(avatar_split_clause,[],[f228,f328])). 3.98/0.97 tff(f326,plain,( 3.98/0.97 spl45_10), 3.98/0.97 inference(avatar_split_clause,[],[f226,f323])). 3.98/0.97 tff(f321,plain,( 3.98/0.97 ~spl45_9), 3.98/0.97 inference(avatar_split_clause,[],[f221,f318])). 3.98/0.97 tff(f316,plain,( 3.98/0.97 spl45_8), 3.98/0.97 inference(avatar_split_clause,[],[f154,f313])). 3.98/0.97 tff(f313,plain,( 3.98/0.97 spl45_8 <=> $less(sK9,sK4)), 3.98/0.97 introduced(avatar_definition,[new_symbols(naming,[spl45_8])])). 3.98/0.97 tff(f311,plain,( 3.98/0.97 spl45_7), 3.98/0.97 inference(avatar_split_clause,[],[f153,f308])). 3.98/0.97 tff(f306,plain,( 3.98/0.97 spl45_6), 3.98/0.97 inference(avatar_split_clause,[],[f151,f303])). 3.98/0.97 tff(f151,plain,( 3.98/0.97 $less(sK5,n)), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f301,plain,( 3.98/0.97 ~spl45_5), 3.98/0.97 inference(avatar_split_clause,[],[f150,f298])). 3.98/0.97 tff(f296,plain,( 3.98/0.97 ~spl45_4), 3.98/0.97 inference(avatar_split_clause,[],[f147,f293])). 3.98/0.97 tff(f147,plain,( 3.98/0.97 ~$less(n,0)), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f291,plain,( 3.98/0.97 spl45_3), 3.98/0.97 inference(avatar_split_clause,[],[f143,f288])). 3.98/0.97 tff(f286,plain,( 3.98/0.97 ~spl45_2), 3.98/0.97 inference(avatar_split_clause,[],[f129,f283])). 3.98/0.97 tff(f129,plain,( 3.98/0.97 ~$less(sK4,1)), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 tff(f281,plain,( 3.98/0.97 spl45_1), 3.98/0.97 inference(avatar_split_clause,[],[f123,f278])). 3.98/0.97 tff(f123,plain,( 3.98/0.97 $less(0,n)), 3.98/0.97 inference(cnf_transformation,[],[f116])). 3.98/0.97 % SZS output end Proof for theBenchmark 3.98/0.97 % (20338)------------------------------ 3.98/0.97 % (20338)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 3.98/0.97 % (20338)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 3.98/0.97 % (20338)Termination reason: Refutation 3.98/0.97 3.98/0.97 % (20338)Memory used [KB]: 8443 3.98/0.97 % (20338)Time elapsed: 0.492 s 3.98/0.97 % (20338)------------------------------ 3.98/0.97 % (20338)------------------------------ 3.98/0.97 % (20332)Success in time 0.58 s 3.98/0.97 % Vampire---4.8 exiting 3.98/0.97 EOF