0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s 0.10/0.32 % Computer : n029.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 300 0.10/0.32 % WCLimit : 300 0.10/0.32 % DateTime : Fri Jul 5 04:25:39 EDT 2024 0.10/0.32 % CPUTime : 0.10/0.34 This is a TFF_ problem 0.10/0.34 Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p 0.10/0.34 % (19341)Running in auto input_syntax mode. Trying TPTP 0.18/0.40 % (19345)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi) 0.18/0.40 % (19348)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) 0.18/0.40 % (19347)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi) 0.18/0.40 % (19346)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) 0.18/0.40 % (19343)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) 0.18/0.40 % (19344)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) 0.18/0.40 % (19342)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) 53.17/7.98 % (19346)First to succeed. 63.70/9.51 % (19346)Refutation found. Thanks to Tanya! 63.70/9.51 % SZS status Theorem for theBenchmark 63.70/9.51 % SZS output start Proof for theBenchmark 63.70/9.51 tff(type_def_5, type, uni: $tType). 63.70/9.51 tff(type_def_6, type, ty: $tType). 63.70/9.51 tff(type_def_7, type, bool: $tType). 63.70/9.51 tff(type_def_8, type, tuple0: $tType). 63.70/9.51 tff(func_def_0, type, witness: ty > uni). 63.70/9.51 tff(func_def_1, type, int: ty). 63.70/9.51 tff(func_def_2, type, real: ty). 63.70/9.51 tff(func_def_3, type, bool1: ty). 63.70/9.51 tff(func_def_4, type, true: bool). 63.70/9.51 tff(func_def_5, type, false: bool). 63.70/9.51 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 63.70/9.51 tff(func_def_7, type, tuple01: ty). 63.70/9.51 tff(func_def_8, type, tuple02: tuple0). 63.70/9.51 tff(func_def_9, type, qtmark: ty). 63.70/9.51 tff(func_def_10, type, power: ($int * $int) > $int). 63.70/9.51 tff(func_def_11, type, abs: $int > $int). 63.70/9.51 tff(func_def_12, type, div: ($int * $int) > $int). 63.70/9.51 tff(func_def_13, type, mod: ($int * $int) > $int). 63.70/9.51 tff(func_def_21, type, sK0: $int). 63.70/9.51 tff(func_def_22, type, sK1: $int). 63.70/9.51 tff(func_def_23, type, sF2: $int). 63.70/9.51 tff(func_def_24, type, sF3: $int). 63.70/9.51 tff(func_def_25, type, sF4: $int). 63.70/9.51 tff(func_def_26, type, sF5: $int). 63.70/9.51 tff(func_def_27, type, sF6: $int). 63.70/9.51 tff(func_def_28, type, sF7: $int). 63.70/9.51 tff(func_def_35, type, '$inst9': $int). 63.70/9.51 tff(func_def_36, type, '$inst10': $int). 63.70/9.51 tff(func_def_37, type, '$inst11': $int). 63.70/9.51 tff(func_def_42, type, '$inst12': $int). 63.70/9.51 tff(pred_def_1, type, sort: (ty * uni) > $o). 63.70/9.51 tff(f33030,plain,( 63.70/9.51 $false), 63.70/9.51 inference(avatar_smt_refutation,[],[f181,f186,f197,f212,f217,f222,f227,f232,f237,f265,f296,f313,f324,f342,f357,f381,f434,f441,f498,f723,f728,f733,f757,f766,f777,f785,f795,f813,f833,f843,f848,f898,f903,f908,f994,f1011,f1028,f1035,f1046,f1047,f1048,f1049,f1137,f1139,f1142,f1145,f1148,f1151,f1152,f1153,f1154,f1155,f1178,f1399,f1598,f1603,f1624,f1629,f1709,f1714,f1719,f1889,f1961,f2055,f2078,f2093,f2105,f2182,f2319,f2340,f2424,f2442,f2568,f2573,f2578,f2584,f2589,f2594,f2624,f2689,f2756,f3134,f3301,f3496,f4516,f4877,f5381,f5729,f5980,f6275,f6674,f7138,f7350,f8504,f8560,f8574,f8592,f8600,f9459,f9464,f9469,f9474,f9737,f10211,f10482,f10487,f10492,f10807,f10816,f10826,f10834,f10857,f11175,f11477,f11602,f11609,f11614,f11620,f11625,f11630,f11635,f11640,f11765,f11770,f11775,f11795,f12012,f12225,f12383,f12438,f12525,f12597,f12991,f13193,f13272,f13442,f13565,f13624,f13853,f14203,f14381,f14803,f15269,f15271,f15333,f15334,f15335,f15336,f15337,f15342,f15343,f15647,f15649,f15652,f15654,f15656,f15658,f15660,f15663,f15665,f15667,f15670,f15674,f15676,f15678,f15680,f15683,f15685,f15688,f15716,f15717,f15718,f15719,f15720,f15721,f15722,f15723,f15724,f15725,f15726,f15727,f15728,f15729,f15730,f15867,f15890,f15906,f16482,f16488,f16675,f16712,f17066,f17099,f17370,f17489,f17672,f17836,f20642,f20693,f22584,f22697,f22745,f22836,f23107,f23224,f23241,f23432,f24101,f24797,f24814,f24959,f25136,f25138,f25141,f25145,f25147,f25149,f25151,f25154,f25157,f25159,f25161,f25163,f25165,f25167,f25169,f25171,f25173,f25409,f25440,f25459,f25539,f25573,f25578,f25583,f25842,f25867,f25879,f25885,f25947,f25952,f25957,f25968,f26223,f26479,f26736,f26875,f26997,f27008,f27024,f27029,f27034,f27039,f27044,f27049,f27054,f27815,f27920,f27998,f28011,f28381,f28430,f28435,f28440,f28466,f28517,f28858,f28863,f28868,f28963,f29604,f29823,f29887,f30114,f30121,f30297,f30476,f31346,f31391,f31419,f31730,f31754,f31961,f31974,f32059,f32696,f32700,f32702,f32706,f32708,f32710,f32712,f32714,f32716,f32718,f32724,f32728,f32730,f32732,f32734,f32736,f32738,f32740,f32742,f32744,f32746,f32748,f32750,f32752,f32754,f32756,f32758,f32760,f32762,f32764,f32766,f32768,f32770,f32772,f32774,f32776,f32778,f32780,f32782,f32784,f32786,f32788,f32790,f32792,f32794,f32796,f32798,f32800,f32802,f32804,f32806,f32808,f32810,f32812,f32814,f32818,f32820,f32822,f32824,f32826,f32828,f32830,f32832,f32834,f32836,f32838,f32840,f32842,f32844,f32846,f32848,f32850,f32854,f32856,f33028])). 63.70/9.51 tff(f33028,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | spl8_14 | spl8_15 | ~spl8_39), 63.70/9.51 inference(avatar_contradiction_clause,[],[f33027])). 63.70/9.51 tff(f33027,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | spl8_14 | spl8_15 | ~spl8_39)), 63.70/9.51 inference(global_subsumption,[],[f304,f33026])). 63.70/9.51 tff(f33026,plain,( 63.70/9.51 sF2 = sF5 | (~spl8_5 | ~spl8_7 | ~spl8_8 | spl8_14 | ~spl8_39)), 63.70/9.51 inference(forward_demodulation,[],[f32947,f211])). 63.70/9.51 tff(f211,plain,( 63.70/9.51 power(sK0,sK1) = sF2 | ~spl8_5), 63.70/9.51 inference(avatar_component_clause,[],[f209])). 63.70/9.51 tff(f209,plain,( 63.70/9.51 spl8_5 <=> power(sK0,sK1) = sF2), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])). 63.70/9.51 tff(f32947,plain,( 63.70/9.51 power(sK0,sK1) = sF5 | (~spl8_7 | ~spl8_8 | spl8_14 | ~spl8_39)), 63.70/9.51 inference(backward_demodulation,[],[f32858,f847])). 63.70/9.51 tff(f847,plain,( 63.70/9.51 sK1 = $product(2,sF3) | ~spl8_39), 63.70/9.51 inference(avatar_component_clause,[],[f845])). 63.70/9.51 tff(f845,plain,( 63.70/9.51 spl8_39 <=> sK1 = $product(2,sF3)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_39])])). 63.70/9.51 tff(f32858,plain,( 63.70/9.51 sF5 = power(sK0,$product(2,sF3)) | (~spl8_7 | ~spl8_8 | spl8_14)), 63.70/9.51 inference(global_subsumption,[],[f299,f32726])). 63.70/9.51 tff(f32726,plain,( 63.70/9.51 sF5 = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | ~spl8_8 | spl8_14)), 63.70/9.51 inference(forward_demodulation,[],[f32725,f226])). 63.70/9.51 tff(f226,plain,( 63.70/9.51 $product(sF4,sF4) = sF5 | ~spl8_8), 63.70/9.51 inference(avatar_component_clause,[],[f224])). 63.70/9.51 tff(f224,plain,( 63.70/9.51 spl8_8 <=> $product(sF4,sF4) = sF5), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_8])])). 63.70/9.51 tff(f32725,plain,( 63.70/9.51 $product(sF4,sF4) = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(forward_demodulation,[],[f32534,f221])). 63.70/9.51 tff(f221,plain,( 63.70/9.51 power(sK0,sF3) = sF4 | ~spl8_7), 63.70/9.51 inference(avatar_component_clause,[],[f219])). 63.70/9.51 tff(f219,plain,( 63.70/9.51 spl8_7 <=> power(sK0,sF3) = sF4), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_7])])). 63.70/9.51 tff(f32534,plain,( 63.70/9.51 $product(power(sK0,sF3),sF4) = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(superposition,[],[f577,f931])). 63.70/9.51 tff(f931,plain,( 63.70/9.51 ( ! [X4 : $int,X5 : $int] : (power(X4,$product(2,X5)) = power($product(X4,X4),X5) | $less(X5,0)) )), 63.70/9.51 inference(evaluation,[],[f922])). 63.70/9.51 tff(f922,plain,( 63.70/9.51 ( ! [X4 : $int,X5 : $int] : (power(X4,$product(2,X5)) = power($product(X4,X4),X5) | $less(X5,0) | $less(2,0)) )), 63.70/9.51 inference(superposition,[],[f150,f513])). 63.70/9.51 tff(f513,plain,( 63.70/9.51 ( ! [X1 : $int] : ($product(X1,X1) = power(X1,2)) )), 63.70/9.51 inference(evaluation,[],[f507])). 63.70/9.51 tff(f507,plain,( 63.70/9.51 ( ! [X1 : $int] : (power(X1,$sum(1,1)) = $product(X1,X1) | $less(1,0)) )), 63.70/9.51 inference(superposition,[],[f134,f125])). 63.70/9.51 tff(f125,plain,( 63.70/9.51 ( ! [X0 : $int] : (power(X0,1) = X0) )), 63.70/9.51 inference(cnf_transformation,[],[f24])). 63.70/9.51 tff(f24,axiom,( 63.70/9.51 ! [X0 : $int] : power(X0,1) = X0), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_1)). 63.70/9.51 tff(f134,plain,( 63.70/9.51 ( ! [X0 : $int,X1 : $int] : (power(X0,$sum(X1,1)) = $product(X0,power(X0,X1)) | $less(X1,0)) )), 63.70/9.51 inference(cnf_transformation,[],[f75])). 63.70/9.51 tff(f75,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int] : (power(X0,$sum(X1,1)) = $product(X0,power(X0,X1)) | $less(X1,0))), 63.70/9.51 inference(ennf_transformation,[],[f60])). 63.70/9.51 tff(f60,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int] : (~$less(X1,0) => power(X0,$sum(X1,1)) = $product(X0,power(X0,X1)))), 63.70/9.51 inference(rectify,[],[f40])). 63.70/9.51 tff(f40,plain,( 63.70/9.51 ! [X0 : $int,X2 : $int] : (~$less(X2,0) => power(X0,$sum(X2,1)) = $product(X0,power(X0,X2)))), 63.70/9.51 inference(theory_normalization,[],[f20])). 63.70/9.51 tff(f20,axiom,( 63.70/9.51 ! [X0 : $int,X2 : $int] : ($lesseq(0,X2) => power(X0,$sum(X2,1)) = $product(X0,power(X0,X2)))), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_s)). 63.70/9.51 tff(f150,plain,( 63.70/9.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (power(X0,$product(X1,X2)) = power(power(X0,X1),X2) | $less(X2,0) | $less(X1,0)) )), 63.70/9.51 inference(cnf_transformation,[],[f96])). 63.70/9.51 tff(f96,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : (power(X0,$product(X1,X2)) = power(power(X0,X1),X2) | $less(X2,0) | $less(X1,0))), 63.70/9.51 inference(flattening,[],[f95])). 63.70/9.51 tff(f95,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : ((power(X0,$product(X1,X2)) = power(power(X0,X1),X2) | $less(X2,0)) | $less(X1,0))), 63.70/9.51 inference(ennf_transformation,[],[f64])). 63.70/9.51 tff(f64,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,0) => (~$less(X2,0) => power(X0,$product(X1,X2)) = power(power(X0,X1),X2)))), 63.70/9.51 inference(rectify,[],[f51])). 63.70/9.51 tff(f51,plain,( 63.70/9.51 ! [X0 : $int,X2 : $int,X9 : $int] : (~$less(X2,0) => (~$less(X9,0) => power(X0,$product(X2,X9)) = power(power(X0,X2),X9)))), 63.70/9.51 inference(theory_normalization,[],[f21])). 63.70/9.51 tff(f21,axiom,( 63.70/9.51 ! [X0 : $int,X2 : $int,X9 : $int] : ($lesseq(0,X2) => ($lesseq(0,X9) => power(X0,$product(X2,X9)) = power(power(X0,X2),X9)))), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_mult)). 63.70/9.51 tff(f577,plain,( 63.70/9.51 ( ! [X8 : $int] : (power($product(X8,sK0),sF3) = $product(power(X8,sF3),sF4)) ) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(global_subsumption,[],[f299,f552])). 63.70/9.51 tff(f552,plain,( 63.70/9.51 ( ! [X8 : $int] : (power($product(X8,sK0),sF3) = $product(power(X8,sF3),sF4) | $less(sF3,0)) ) | ~spl8_7), 63.70/9.51 inference(superposition,[],[f149,f221])). 63.70/9.51 tff(f149,plain,( 63.70/9.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (power($product(X0,X1),X2) = $product(power(X0,X2),power(X1,X2)) | $less(X2,0)) )), 63.70/9.51 inference(cnf_transformation,[],[f94])). 63.70/9.51 tff(f94,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : (power($product(X0,X1),X2) = $product(power(X0,X2),power(X1,X2)) | $less(X2,0))), 63.70/9.51 inference(ennf_transformation,[],[f50])). 63.70/9.51 tff(f50,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X2,0) => power($product(X0,X1),X2) = $product(power(X0,X2),power(X1,X2)))), 63.70/9.51 inference(theory_normalization,[],[f1])). 63.70/9.51 tff(f1,axiom,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : ($lesseq(0,X2) => power($product(X0,X1),X2) = $product(power(X0,X2),power(X1,X2)))), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_mult2)). 63.70/9.51 tff(f299,plain,( 63.70/9.51 ~$less(sF3,0) | spl8_14), 63.70/9.51 inference(avatar_component_clause,[],[f298])). 63.70/9.51 tff(f298,plain,( 63.70/9.51 spl8_14 <=> $less(sF3,0)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_14])])). 63.70/9.51 tff(f304,plain,( 63.70/9.51 sF2 != sF5 | spl8_15), 63.70/9.51 inference(avatar_component_clause,[],[f302])). 63.70/9.51 tff(f302,plain,( 63.70/9.51 spl8_15 <=> sF2 = sF5), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_15])])). 63.70/9.51 tff(f32856,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32855])). 63.70/9.51 tff(f32855,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f28631,plain,( 63.70/9.51 sF5 != power(sK0,$product(2,sF3)) | (~spl8_5 | ~spl8_9 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f440,f28630])). 63.70/9.51 tff(f28630,plain,( 63.70/9.51 sF2 = sF6 | sF5 != power(sK0,$product(2,sF3)) | (~spl8_5 | ~spl8_9 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(forward_demodulation,[],[f28544,f211])). 63.70/9.51 tff(f28544,plain,( 63.70/9.51 power(sK0,sK1) = sF6 | sF5 != power(sK0,$product(2,sF3)) | (~spl8_9 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(constrained_superposition,[],[f23251,f231])). 63.70/9.51 tff(f231,plain,( 63.70/9.51 $product(sF5,sK0) = sF6 | ~spl8_9), 63.70/9.51 inference(avatar_component_clause,[],[f229])). 63.70/9.51 tff(f229,plain,( 63.70/9.51 spl8_9 <=> $product(sF5,sK0) = sF6), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_9])])). 63.70/9.51 tff(f23251,plain,( 63.70/9.51 ( ! [X3 : $int] : ($product(power(X3,$product(2,sF3)),X3) = power(X3,sK1)) ) | (~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f22583,f23105,f2926])). 63.70/9.51 tff(f2926,plain,( 63.70/9.51 ( ! [X3 : $int] : ($product(power(X3,$product(2,sF3)),X3) = power(X3,sK1) | $less($product(2,sF3),0) | 1 != sF7) ) | ~spl8_42), 63.70/9.51 inference(constrained_superposition,[],[f636,f907])). 63.70/9.51 tff(f907,plain,( 63.70/9.51 sK1 = $sum($product(2,sF3),sF7) | ~spl8_42), 63.70/9.51 inference(avatar_component_clause,[],[f905])). 63.70/9.51 tff(f905,plain,( 63.70/9.51 spl8_42 <=> sK1 = $sum($product(2,sF3),sF7)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_42])])). 63.70/9.51 tff(f636,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : (power(X2,$sum(X3,1)) = $product(power(X2,X3),X2) | $less(X3,0)) )), 63.70/9.51 inference(evaluation,[],[f623])). 63.70/9.51 tff(f623,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : (power(X2,$sum(X3,1)) = $product(power(X2,X3),X2) | $less(1,0) | $less(X3,0)) )), 63.70/9.51 inference(superposition,[],[f151,f125])). 63.70/9.51 tff(f151,plain,( 63.70/9.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (power(X0,$sum(X1,X2)) = $product(power(X0,X1),power(X0,X2)) | $less(X2,0) | $less(X1,0)) )), 63.70/9.51 inference(cnf_transformation,[],[f98])). 63.70/9.51 tff(f98,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : (power(X0,$sum(X1,X2)) = $product(power(X0,X1),power(X0,X2)) | $less(X2,0) | $less(X1,0))), 63.70/9.51 inference(flattening,[],[f97])). 63.70/9.51 tff(f97,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : ((power(X0,$sum(X1,X2)) = $product(power(X0,X1),power(X0,X2)) | $less(X2,0)) | $less(X1,0))), 63.70/9.51 inference(ennf_transformation,[],[f65])). 63.70/9.51 tff(f65,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,0) => (~$less(X2,0) => power(X0,$sum(X1,X2)) = $product(power(X0,X1),power(X0,X2))))), 63.70/9.51 inference(rectify,[],[f52])). 63.70/9.51 tff(f52,plain,( 63.70/9.51 ! [X0 : $int,X2 : $int,X9 : $int] : (~$less(X2,0) => (~$less(X9,0) => power(X0,$sum(X2,X9)) = $product(power(X0,X2),power(X0,X9))))), 63.70/9.51 inference(theory_normalization,[],[f33])). 63.70/9.51 tff(f33,axiom,( 63.70/9.51 ! [X0 : $int,X2 : $int,X9 : $int] : ($lesseq(0,X2) => ($lesseq(0,X9) => power(X0,$sum(X2,X9)) = $product(power(X0,X2),power(X0,X9))))), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_sum)). 63.70/9.51 tff(f23105,plain,( 63.70/9.51 ~$less($product(2,sF3),0) | spl8_163), 63.70/9.51 inference(avatar_component_clause,[],[f23104])). 63.70/9.51 tff(f23104,plain,( 63.70/9.51 spl8_163 <=> $less($product(2,sF3),0)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_163])])). 63.70/9.51 tff(f22583,plain,( 63.70/9.51 1 = sF7 | ~spl8_159), 63.70/9.51 inference(avatar_component_clause,[],[f22581])). 63.70/9.51 tff(f22581,plain,( 63.70/9.51 spl8_159 <=> 1 = sF7), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_159])])). 63.70/9.51 tff(f440,plain,( 63.70/9.51 sF2 != sF6 | spl8_23), 63.70/9.51 inference(avatar_component_clause,[],[f438])). 63.70/9.51 tff(f438,plain,( 63.70/9.51 spl8_23 <=> sF2 = sF6), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_23])])). 63.70/9.51 tff(f32854,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32853])). 63.70/9.51 tff(f32853,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32850,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_144 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32849])). 63.70/9.51 tff(f32849,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_144 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32848,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_144 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32847])). 63.70/9.51 tff(f32847,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_144 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32846,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32845])). 63.70/9.51 tff(f32845,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32844,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32843])). 63.70/9.51 tff(f32843,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32842,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32841])). 63.70/9.51 tff(f32841,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32840,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32839])). 63.70/9.51 tff(f32839,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32838,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32837])). 63.70/9.51 tff(f32837,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32836,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32835])). 63.70/9.51 tff(f32835,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32834,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32833])). 63.70/9.51 tff(f32833,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32832,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32831])). 63.70/9.51 tff(f32831,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32830,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32829])). 63.70/9.51 tff(f32829,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32828,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32827])). 63.70/9.51 tff(f32827,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32826,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32825])). 63.70/9.51 tff(f32825,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32824,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32823])). 63.70/9.51 tff(f32823,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32822,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32821])). 63.70/9.51 tff(f32821,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32820,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32819])). 63.70/9.51 tff(f32819,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32818,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32817])). 63.70/9.51 tff(f32817,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32814,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32813])). 63.70/9.51 tff(f32813,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32812,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32811])). 63.70/9.51 tff(f32811,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32810,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32809])). 63.70/9.51 tff(f32809,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32808,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32807])). 63.70/9.51 tff(f32807,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32806,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32805])). 63.70/9.51 tff(f32805,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32804,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32803])). 63.70/9.51 tff(f32803,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32802,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32801])). 63.70/9.51 tff(f32801,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32800,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32799])). 63.70/9.51 tff(f32799,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32798,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32797])). 63.70/9.51 tff(f32797,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32796,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32795])). 63.70/9.51 tff(f32795,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32794,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32793])). 63.70/9.51 tff(f32793,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32792,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32791])). 63.70/9.51 tff(f32791,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32790,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32789])). 63.70/9.51 tff(f32789,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32788,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32787])). 63.70/9.51 tff(f32787,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32786,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32785])). 63.70/9.51 tff(f32785,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32784,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32783])). 63.70/9.51 tff(f32783,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32782,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32781])). 63.70/9.51 tff(f32781,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32780,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32779])). 63.70/9.51 tff(f32779,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32778,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32777])). 63.70/9.51 tff(f32777,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32776,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32775])). 63.70/9.51 tff(f32775,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32774,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32773])). 63.70/9.51 tff(f32773,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32772,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32771])). 63.70/9.51 tff(f32771,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32770,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32769])). 63.70/9.51 tff(f32769,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32768,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32767])). 63.70/9.51 tff(f32767,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32766,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32765])). 63.70/9.51 tff(f32765,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32764,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32763])). 63.70/9.51 tff(f32763,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32762,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32761])). 63.70/9.51 tff(f32761,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32760,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32759])). 63.70/9.51 tff(f32759,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32758,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32757])). 63.70/9.51 tff(f32757,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32756,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32755])). 63.70/9.51 tff(f32755,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32754,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32753])). 63.70/9.51 tff(f32753,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32752,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32751])). 63.70/9.51 tff(f32751,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32750,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32749])). 63.70/9.51 tff(f32749,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32748,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32747])). 63.70/9.51 tff(f32747,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32746,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32745])). 63.70/9.51 tff(f32745,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32744,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32743])). 63.70/9.51 tff(f32743,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32742,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32741])). 63.70/9.51 tff(f32741,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32740,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32739])). 63.70/9.51 tff(f32739,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32738,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32737])). 63.70/9.51 tff(f32737,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32736,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32735])). 63.70/9.51 tff(f32735,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32734,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32733])). 63.70/9.51 tff(f32733,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32732,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32731])). 63.70/9.51 tff(f32731,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32730,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32729])). 63.70/9.51 tff(f32729,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32728,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32727])). 63.70/9.51 tff(f32727,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32726])). 63.70/9.51 tff(f32724,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32723])). 63.70/9.51 tff(f32723,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32722])). 63.70/9.51 tff(f32722,plain,( 63.70/9.51 sF5 = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | ~spl8_8 | spl8_14)), 63.70/9.51 inference(forward_demodulation,[],[f32721,f226])). 63.70/9.51 tff(f32721,plain,( 63.70/9.51 $product(sF4,sF4) = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(forward_demodulation,[],[f32533,f221])). 63.70/9.51 tff(f32533,plain,( 63.70/9.51 $product(sF4,power(sK0,sF3)) = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(superposition,[],[f573,f931])). 63.70/9.51 tff(f573,plain,( 63.70/9.51 ( ! [X8 : $int] : (power($product(sK0,X8),sF3) = $product(sF4,power(X8,sF3))) ) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(global_subsumption,[],[f299,f547])). 63.70/9.51 tff(f547,plain,( 63.70/9.51 ( ! [X8 : $int] : (power($product(sK0,X8),sF3) = $product(sF4,power(X8,sF3)) | $less(sF3,0)) ) | ~spl8_7), 63.70/9.51 inference(superposition,[],[f149,f221])). 63.70/9.51 tff(f32718,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32717])). 63.70/9.51 tff(f32717,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32698,plain,( 63.70/9.51 sF5 = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | ~spl8_8 | spl8_14)), 63.70/9.51 inference(forward_demodulation,[],[f32697,f226])). 63.70/9.51 tff(f32697,plain,( 63.70/9.51 $product(sF4,sF4) = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(forward_demodulation,[],[f32514,f221])). 63.70/9.51 tff(f32514,plain,( 63.70/9.51 $product(power(sK0,sF3),sF4) = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(superposition,[],[f931,f577])). 63.70/9.51 tff(f32716,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32715])). 63.70/9.51 tff(f32715,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32714,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32713])). 63.70/9.51 tff(f32713,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32712,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32711])). 63.70/9.51 tff(f32711,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32710,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_144 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32709])). 63.70/9.51 tff(f32709,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_144 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32708,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_144 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32707])). 63.70/9.51 tff(f32707,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_144 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32706,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32705])). 63.70/9.51 tff(f32705,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32702,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32701])). 63.70/9.51 tff(f32701,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32700,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32699])). 63.70/9.51 tff(f32699,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32698])). 63.70/9.51 tff(f32696,plain,( 63.70/9.51 ~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163), 63.70/9.51 inference(avatar_contradiction_clause,[],[f32695])). 63.70/9.51 tff(f32695,plain,( 63.70/9.51 $false | (~spl8_5 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | spl8_23 | ~spl8_42 | ~spl8_159 | spl8_163)), 63.70/9.51 inference(global_subsumption,[],[f299,f28631,f32694])). 63.70/9.51 tff(f32694,plain,( 63.70/9.51 sF5 = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | ~spl8_8 | spl8_14)), 63.70/9.51 inference(forward_demodulation,[],[f32693,f226])). 63.70/9.51 tff(f32693,plain,( 63.70/9.51 $product(sF4,sF4) = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(forward_demodulation,[],[f32513,f221])). 63.70/9.51 tff(f32513,plain,( 63.70/9.51 $product(sF4,power(sK0,sF3)) = power(sK0,$product(2,sF3)) | $less(sF3,0) | (~spl8_7 | spl8_14)), 63.70/9.51 inference(superposition,[],[f931,f573])). 63.70/9.51 tff(f32059,plain,( 63.70/9.51 ~spl8_234 | ~spl8_138 | spl8_231), 63.70/9.51 inference(avatar_split_clause,[],[f31965,f31955,f13439,f32056])). 63.70/9.51 tff(f32056,plain,( 63.70/9.51 spl8_234 <=> sF6 = $uminus(abs(3))), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_234])])). 63.70/9.51 tff(f13439,plain,( 63.70/9.51 spl8_138 <=> $less($uminus(abs(3)),0)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_138])])). 63.70/9.51 tff(f31955,plain,( 63.70/9.51 spl8_231 <=> $less(sF6,0)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_231])])). 63.70/9.51 tff(f31965,plain,( 63.70/9.51 sF6 != $uminus(abs(3)) | (~spl8_138 | spl8_231)), 63.70/9.51 inference(constrained_resolution,[],[f31956,f13441])). 63.70/9.51 tff(f13441,plain,( 63.70/9.51 $less($uminus(abs(3)),0) | ~spl8_138), 63.70/9.51 inference(avatar_component_clause,[],[f13439])). 63.70/9.51 tff(f31956,plain,( 63.70/9.51 ~$less(sF6,0) | spl8_231), 63.70/9.51 inference(avatar_component_clause,[],[f31955])). 63.70/9.51 tff(f31974,plain,( 63.70/9.51 ~spl8_233 | ~spl8_59 | spl8_231), 63.70/9.51 inference(avatar_split_clause,[],[f31964,f31955,f2072,f31971])). 63.70/9.51 tff(f31971,plain,( 63.70/9.51 spl8_233 <=> sF4 = sF6), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_233])])). 63.70/9.51 tff(f2072,plain,( 63.70/9.51 spl8_59 <=> $less(sF4,0)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_59])])). 63.70/9.51 tff(f31964,plain,( 63.70/9.51 sF4 != sF6 | (~spl8_59 | spl8_231)), 63.70/9.51 inference(constrained_resolution,[],[f31956,f2074])). 63.70/9.51 tff(f2074,plain,( 63.70/9.51 $less(sF4,0) | ~spl8_59), 63.70/9.51 inference(avatar_component_clause,[],[f2072])). 63.70/9.51 tff(f31961,plain,( 63.70/9.51 spl8_231 | spl8_232 | ~spl8_9 | spl8_62 | spl8_99), 63.70/9.51 inference(avatar_split_clause,[],[f23742,f9456,f2099,f229,f31959,f31955])). 63.70/9.51 tff(f31959,plain,( 63.70/9.51 spl8_232 <=> ! [X2 : $int,X3 : $int] : ($product(X2,sK0) != mod(X3,sF6) | $less(X2,sF5))), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_232])])). 63.70/9.51 tff(f2099,plain,( 63.70/9.51 spl8_62 <=> $less(sK0,0)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_62])])). 63.70/9.51 tff(f9456,plain,( 63.70/9.51 spl8_99 <=> 0 = sF6), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_99])])). 63.70/9.51 tff(f23742,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : ($product(X2,sK0) != mod(X3,sF6) | $less(X2,sF5) | $less(sF6,0)) ) | (~spl8_9 | spl8_62 | spl8_99)), 63.70/9.51 inference(global_subsumption,[],[f9457,f23738])). 63.70/9.51 tff(f23738,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : ($product(X2,sK0) != mod(X3,sF6) | $less(X2,sF5) | 0 = sF6 | $less(sF6,0)) ) | (~spl8_9 | spl8_62)), 63.70/9.51 inference(constrained_resolution,[],[f2106,f289])). 63.70/9.51 tff(f289,plain,( 63.70/9.51 ( ! [X0 : $int,X1 : $int] : ($less(mod(X1,X0),X0) | 0 = X0 | $less(X0,0)) )), 63.70/9.51 inference(superposition,[],[f132,f126])). 63.70/9.51 tff(f126,plain,( 63.70/9.51 ( ! [X0 : $int] : (abs(X0) = X0 | $less(X0,0)) )), 63.70/9.51 inference(cnf_transformation,[],[f70])). 63.70/9.51 tff(f70,plain,( 63.70/9.51 ! [X0 : $int] : ((abs(X0) = $uminus(X0) | ~$less(X0,0)) & (abs(X0) = X0 | $less(X0,0)))), 63.70/9.51 inference(ennf_transformation,[],[f37])). 63.70/9.51 tff(f37,plain,( 63.70/9.51 ! [X0 : $int] : (($less(X0,0) => abs(X0) = $uminus(X0)) & (~$less(X0,0) => abs(X0) = X0))), 63.70/9.51 inference(theory_normalization,[],[f13])). 63.70/9.51 tff(f13,axiom,( 63.70/9.51 ! [X0 : $int] : ((~$lesseq(0,X0) => abs(X0) = $uminus(X0)) & ($lesseq(0,X0) => abs(X0) = X0))), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_def)). 63.70/9.51 tff(f132,plain,( 63.70/9.51 ( ! [X0 : $int,X1 : $int] : ($less(mod(X0,X1),abs(X1)) | 0 = X1) )), 63.70/9.51 inference(cnf_transformation,[],[f73])). 63.70/9.51 tff(f73,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int] : (($less(mod(X0,X1),abs(X1)) & $less($uminus(abs(X1)),mod(X0,X1))) | 0 = X1)), 63.70/9.51 inference(ennf_transformation,[],[f23])). 63.70/9.51 tff(f23,axiom,( 63.70/9.51 ! [X0 : $int,X1 : $int] : (0 != X1 => ($less(mod(X0,X1),abs(X1)) & $less($uminus(abs(X1)),mod(X0,X1))))), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_bound)). 63.70/9.51 tff(f2106,plain,( 63.70/9.51 ( ! [X1 : $int] : (~$less($product(X1,sK0),sF6) | $less(X1,sF5)) ) | (~spl8_9 | spl8_62)), 63.70/9.51 inference(subsumption_resolution,[],[f477,f2100])). 63.70/9.51 tff(f2100,plain,( 63.70/9.51 ~$less(sK0,0) | spl8_62), 63.70/9.51 inference(avatar_component_clause,[],[f2099])). 63.70/9.51 tff(f477,plain,( 63.70/9.51 ( ! [X1 : $int] : (~$less($product(X1,sK0),sF6) | $less(sK0,0) | $less(X1,sF5)) ) | ~spl8_9), 63.70/9.51 inference(superposition,[],[f148,f231])). 63.70/9.51 tff(f148,plain,( 63.70/9.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 63.70/9.51 inference(cnf_transformation,[],[f93])). 63.70/9.51 tff(f93,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 63.70/9.51 inference(flattening,[],[f92])). 63.70/9.51 tff(f92,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 63.70/9.51 inference(ennf_transformation,[],[f63])). 63.70/9.51 tff(f63,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 63.70/9.51 inference(rectify,[],[f49])). 63.70/9.51 tff(f49,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int,X6 : $int] : (~$less(X1,X0) => (~$less(X6,0) => ~$less($product(X1,X6),$product(X0,X6))))), 63.70/9.51 inference(theory_normalization,[],[f19])). 63.70/9.51 tff(f19,axiom,( 63.70/9.51 ! [X0 : $int,X1 : $int,X6 : $int] : ($lesseq(X0,X1) => ($lesseq(0,X6) => $lesseq($product(X0,X6),$product(X1,X6))))), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatOrderMult)). 63.70/9.51 tff(f9457,plain,( 63.70/9.51 0 != sF6 | spl8_99), 63.70/9.51 inference(avatar_component_clause,[],[f9456])). 63.70/9.51 tff(f31754,plain,( 63.70/9.51 spl8_230 | ~spl8_223), 63.70/9.51 inference(avatar_split_clause,[],[f31156,f30294,f31751])). 63.70/9.51 tff(f31751,plain,( 63.70/9.51 spl8_230 <=> 0 = power(0,9)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_230])])). 63.70/9.51 tff(f30294,plain,( 63.70/9.51 spl8_223 <=> 0 = power(0,8)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_223])])). 63.70/9.51 tff(f31156,plain,( 63.70/9.51 0 = power(0,9) | ~spl8_223), 63.70/9.51 inference(forward_demodulation,[],[f31137,f30296])). 63.70/9.51 tff(f30296,plain,( 63.70/9.51 0 = power(0,8) | ~spl8_223), 63.70/9.51 inference(avatar_component_clause,[],[f30294])). 63.70/9.51 tff(f31137,plain,( 63.70/9.51 power(0,8) = power(0,9) | ~spl8_223), 63.70/9.51 inference(evaluation,[],[f31105])). 63.70/9.51 tff(f31105,plain,( 63.70/9.51 power(0,$sum(8,1)) = power($product(0,0),8) | $less(8,0) | ~spl8_223), 63.70/9.51 inference(superposition,[],[f563,f30296])). 63.70/9.51 tff(f563,plain,( 63.70/9.51 ( ! [X3 : $int,X4 : $int] : (power(power(X3,X4),$sum(X4,1)) = power($product(X3,power(X3,X4)),X4) | $less(X4,0)) )), 63.70/9.51 inference(duplicate_literal_removal,[],[f553])). 63.70/9.51 tff(f553,plain,( 63.70/9.51 ( ! [X3 : $int,X4 : $int] : (power(power(X3,X4),$sum(X4,1)) = power($product(X3,power(X3,X4)),X4) | $less(X4,0) | $less(X4,0)) )), 63.70/9.51 inference(superposition,[],[f149,f134])). 63.70/9.51 tff(f31730,plain,( 63.70/9.51 spl8_229 | ~spl8_223), 63.70/9.51 inference(avatar_split_clause,[],[f31144,f30294,f31727])). 63.70/9.51 tff(f31727,plain,( 63.70/9.51 spl8_229 <=> 0 = power(0,10)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_229])])). 63.70/9.51 tff(f31144,plain,( 63.70/9.51 0 = power(0,10) | ~spl8_223), 63.70/9.51 inference(evaluation,[],[f31098])). 63.70/9.51 tff(f31098,plain,( 63.70/9.51 $product(0,$product(0,0)) = power(0,$sum(2,8)) | $less($sum(8,1),0) | $less(8,0) | ~spl8_223), 63.70/9.51 inference(superposition,[],[f512,f30296])). 63.70/9.51 tff(f512,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : ($product(X2,$product(X2,power(X2,X3))) = power(X2,$sum(2,X3)) | $less($sum(X3,1),0) | $less(X3,0)) )), 63.70/9.51 inference(evaluation,[],[f508])). 63.70/9.51 tff(f508,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : (power(X2,$sum($sum(X3,1),1)) = $product(X2,$product(X2,power(X2,X3))) | $less($sum(X3,1),0) | $less(X3,0)) )), 63.70/9.51 inference(superposition,[],[f134,f134])). 63.70/9.51 tff(f31419,plain,( 63.70/9.51 spl8_227 | spl8_228 | ~spl8_5), 63.70/9.51 inference(avatar_split_clause,[],[f3731,f209,f31416,f31413])). 63.70/9.51 tff(f31413,plain,( 63.70/9.51 spl8_227 <=> ! [X39 : $int] : (~$less($product(X39,sF2),$product(sF2,sK0)) | $less(X39,sK0))), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_227])])). 63.70/9.51 tff(f31416,plain,( 63.70/9.51 spl8_228 <=> $less(sF2,0)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_228])])). 63.70/9.51 tff(f3731,plain,( 63.70/9.51 ( ! [X39 : $int] : ($less(sF2,0) | ~$less($product(X39,sF2),$product(sF2,sK0)) | $less(X39,sK0)) ) | ~spl8_5), 63.70/9.51 inference(global_subsumption,[],[f107,f3730])). 63.70/9.51 tff(f3730,plain,( 63.70/9.51 ( ! [X39 : $int] : ($less(sF2,0) | ~$less($product(X39,sF2),$product(sF2,sK0)) | $less(X39,sK0) | $less(sK1,0)) ) | ~spl8_5), 63.70/9.51 inference(forward_demodulation,[],[f3729,f211])). 63.70/9.51 tff(f3729,plain,( 63.70/9.51 ( ! [X39 : $int] : (~$less($product(X39,sF2),$product(sF2,sK0)) | $less(power(sK0,sK1),0) | $less(X39,sK0) | $less(sK1,0)) ) | ~spl8_5), 63.70/9.51 inference(forward_demodulation,[],[f3728,f211])). 63.70/9.51 tff(f3728,plain,( 63.70/9.51 ( ! [X39 : $int] : (~$less($product(X39,power(sK0,sK1)),$product(sF2,sK0)) | $less(power(sK0,sK1),0) | $less(X39,sK0) | $less(sK1,0)) ) | ~spl8_5), 63.70/9.51 inference(forward_demodulation,[],[f3685,f125])). 63.70/9.51 tff(f3685,plain,( 63.70/9.51 ( ! [X39 : $int] : (~$less($product(X39,power(sK0,sK1)),$product(sF2,power(sK0,1))) | $less(power(sK0,sK1),0) | $less(X39,sK0) | $less(sK1,0)) ) | ~spl8_5), 63.70/9.51 inference(evaluation,[],[f3684])). 63.70/9.51 tff(f3684,plain,( 63.70/9.51 ( ! [X39 : $int] : (~$less($product(X39,power(sK0,sK1)),$product(sF2,power(sK0,1))) | $less(power(sK0,sK1),0) | $less(X39,sK0) | $less(sK1,0) | $less(1,0)) ) | ~spl8_5), 63.70/9.51 inference(superposition,[],[f510,f642])). 63.70/9.51 tff(f642,plain,( 63.70/9.51 ( ! [X7 : $int] : (power(sK0,$sum(sK1,X7)) = $product(sF2,power(sK0,X7)) | $less(X7,0)) ) | ~spl8_5), 63.70/9.51 inference(global_subsumption,[],[f107,f619])). 63.70/9.51 tff(f619,plain,( 63.70/9.51 ( ! [X7 : $int] : (power(sK0,$sum(sK1,X7)) = $product(sF2,power(sK0,X7)) | $less(X7,0) | $less(sK1,0)) ) | ~spl8_5), 63.70/9.51 inference(superposition,[],[f151,f211])). 63.70/9.51 tff(f510,plain,( 63.70/9.51 ( ! [X3 : $int,X4 : $int,X5 : $int] : (~$less($product(X5,power(X3,X4)),power(X3,$sum(X4,1))) | $less(power(X3,X4),0) | $less(X5,X3) | $less(X4,0)) )), 63.70/9.51 inference(superposition,[],[f148,f134])). 63.70/9.51 tff(f107,plain,( 63.70/9.51 ~$less(sK1,0)), 63.70/9.51 inference(cnf_transformation,[],[f104])). 63.70/9.51 tff(f104,plain,( 63.70/9.51 ((1 != power(sK0,sK1) & 0 = sK1) | ((~$less(div(sK1,2),sK1) | (power(sK0,sK1) != $product($product(power(sK0,div(sK1,2)),power(sK0,div(sK1,2))),sK0) & 0 != mod(sK1,2)) | (power(sK0,sK1) != $product(power(sK0,div(sK1,2)),power(sK0,div(sK1,2))) & 0 = mod(sK1,2)) | $less(div(sK1,2),0) | $less(sK1,0)) & 0 != sK1)) & ~$less(sK1,0)), 63.70/9.51 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f69,f103])). 63.70/9.51 tff(f103,plain,( 63.70/9.51 ? [X0 : $int,X1 : $int] : (((1 != power(X0,X1) & 0 = X1) | ((~$less(div(X1,2),X1) | (power(X0,X1) != $product($product(power(X0,div(X1,2)),power(X0,div(X1,2))),X0) & 0 != mod(X1,2)) | (power(X0,X1) != $product(power(X0,div(X1,2)),power(X0,div(X1,2))) & 0 = mod(X1,2)) | $less(div(X1,2),0) | $less(X1,0)) & 0 != X1)) & ~$less(X1,0)) => (((1 != power(sK0,sK1) & 0 = sK1) | ((~$less(div(sK1,2),sK1) | (power(sK0,sK1) != $product($product(power(sK0,div(sK1,2)),power(sK0,div(sK1,2))),sK0) & 0 != mod(sK1,2)) | (power(sK0,sK1) != $product(power(sK0,div(sK1,2)),power(sK0,div(sK1,2))) & 0 = mod(sK1,2)) | $less(div(sK1,2),0) | $less(sK1,0)) & 0 != sK1)) & ~$less(sK1,0))), 63.70/9.51 introduced(choice_axiom,[])). 63.70/9.51 tff(f69,plain,( 63.70/9.51 ? [X0 : $int,X1 : $int] : (((1 != power(X0,X1) & 0 = X1) | ((~$less(div(X1,2),X1) | (power(X0,X1) != $product($product(power(X0,div(X1,2)),power(X0,div(X1,2))),X0) & 0 != mod(X1,2)) | (power(X0,X1) != $product(power(X0,div(X1,2)),power(X0,div(X1,2))) & 0 = mod(X1,2)) | $less(div(X1,2),0) | $less(X1,0)) & 0 != X1)) & ~$less(X1,0))), 63.70/9.51 inference(ennf_transformation,[],[f55])). 63.70/9.51 tff(f55,plain,( 63.70/9.51 ~! [X0 : $int,X1 : $int] : (~$less(X1,0) => ((0 = X1 => 1 = power(X0,X1)) & (0 != X1 => ($less(div(X1,2),X1) & (0 != mod(X1,2) => power(X0,X1) = $product($product(power(X0,div(X1,2)),power(X0,div(X1,2))),X0)) & (0 = mod(X1,2) => power(X0,X1) = $product(power(X0,div(X1,2)),power(X0,div(X1,2)))) & ~$less(div(X1,2),0) & ~$less(X1,0)))))), 63.70/9.51 inference(rectify,[],[f35])). 63.70/9.51 tff(f35,plain,( 63.70/9.51 ~! [X0 : $int,X2 : $int] : (~$less(X2,0) => ((0 = X2 => power(X0,X2) = 1) & (0 != X2 => ($less(div(X2,2),X2) & (0 != mod(X2,2) => power(X0,X2) = $product($product(power(X0,div(X2,2)),power(X0,div(X2,2))),X0)) & (0 = mod(X2,2) => power(X0,X2) = $product(power(X0,div(X2,2)),power(X0,div(X2,2)))) & ~$less(div(X2,2),0) & ~$less(X2,0)))))), 63.70/9.51 inference(theory_normalization,[],[f27])). 63.70/9.51 tff(f27,negated_conjecture,( 63.70/9.51 ~! [X0 : $int,X2 : $int] : ($lesseq(0,X2) => ((0 = X2 => power(X0,X2) = 1) & (0 != X2 => ($less(div(X2,2),X2) & (0 != mod(X2,2) => power(X0,X2) = $product($product(power(X0,div(X2,2)),power(X0,div(X2,2))),X0)) & (0 = mod(X2,2) => power(X0,X2) = $product(power(X0,div(X2,2)),power(X0,div(X2,2)))) & $lesseq(0,div(X2,2)) & $lesseq(0,X2)))))), 63.70/9.51 inference(negated_conjecture,[],[f26])). 63.70/9.51 tff(f26,conjecture,( 63.70/9.51 ! [X0 : $int,X2 : $int] : ($lesseq(0,X2) => ((0 = X2 => power(X0,X2) = 1) & (0 != X2 => ($less(div(X2,2),X2) & (0 != mod(X2,2) => power(X0,X2) = $product($product(power(X0,div(X2,2)),power(X0,div(X2,2))),X0)) & (0 = mod(X2,2) => power(X0,X2) = $product(power(X0,div(X2,2)),power(X0,div(X2,2)))) & $lesseq(0,div(X2,2)) & $lesseq(0,X2)))))), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_fast_exp)). 63.70/9.51 tff(f31391,plain,( 63.70/9.51 spl8_226 | ~spl8_216), 63.70/9.51 inference(avatar_split_clause,[],[f30635,f29601,f31388])). 63.70/9.51 tff(f31388,plain,( 63.70/9.51 spl8_226 <=> 1 = power(1,10)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_226])])). 63.70/9.51 tff(f29601,plain,( 63.70/9.51 spl8_216 <=> 1 = power(1,9)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_216])])). 63.70/9.51 tff(f30635,plain,( 63.70/9.51 1 = power(1,10) | ~spl8_216), 63.70/9.51 inference(forward_demodulation,[],[f30620,f29603])). 63.70/9.51 tff(f29603,plain,( 63.70/9.51 1 = power(1,9) | ~spl8_216), 63.70/9.51 inference(avatar_component_clause,[],[f29601])). 63.70/9.51 tff(f30620,plain,( 63.70/9.51 power(1,9) = power(1,10) | ~spl8_216), 63.70/9.51 inference(evaluation,[],[f30583])). 63.70/9.51 tff(f30583,plain,( 63.70/9.51 power(1,$sum(9,1)) = power($product(1,1),9) | $less(9,0) | ~spl8_216), 63.70/9.51 inference(superposition,[],[f563,f29603])). 63.70/9.51 tff(f31346,plain,( 63.70/9.51 spl8_225 | ~spl8_216), 63.70/9.51 inference(avatar_split_clause,[],[f30625,f29601,f31343])). 63.70/9.51 tff(f31343,plain,( 63.70/9.51 spl8_225 <=> 1 = power(1,11)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_225])])). 63.70/9.51 tff(f30625,plain,( 63.70/9.51 1 = power(1,11) | ~spl8_216), 63.70/9.51 inference(evaluation,[],[f30576])). 63.70/9.51 tff(f30576,plain,( 63.70/9.51 $product(1,$product(1,1)) = power(1,$sum(2,9)) | $less($sum(9,1),0) | $less(9,0) | ~spl8_216), 63.70/9.51 inference(superposition,[],[f512,f29603])). 63.70/9.51 tff(f30476,plain,( 63.70/9.51 spl8_224 | ~spl8_210), 63.70/9.51 inference(avatar_split_clause,[],[f29450,f28463,f30473])). 63.70/9.51 tff(f30473,plain,( 63.70/9.51 spl8_224 <=> 0 = power(0,7)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_224])])). 63.70/9.51 tff(f28463,plain,( 63.70/9.51 spl8_210 <=> 0 = power(0,6)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_210])])). 63.70/9.51 tff(f29450,plain,( 63.70/9.51 0 = power(0,7) | ~spl8_210), 63.70/9.51 inference(forward_demodulation,[],[f29431,f28465])). 63.70/9.51 tff(f28465,plain,( 63.70/9.51 0 = power(0,6) | ~spl8_210), 63.70/9.51 inference(avatar_component_clause,[],[f28463])). 63.70/9.51 tff(f29431,plain,( 63.70/9.51 power(0,6) = power(0,7) | ~spl8_210), 63.70/9.51 inference(evaluation,[],[f29399])). 63.70/9.51 tff(f29399,plain,( 63.70/9.51 power(0,$sum(6,1)) = power($product(0,0),6) | $less(6,0) | ~spl8_210), 63.70/9.51 inference(superposition,[],[f563,f28465])). 63.70/9.51 tff(f30297,plain,( 63.70/9.51 spl8_223 | ~spl8_210), 63.70/9.51 inference(avatar_split_clause,[],[f29438,f28463,f30294])). 63.70/9.51 tff(f29438,plain,( 63.70/9.51 0 = power(0,8) | ~spl8_210), 63.70/9.51 inference(evaluation,[],[f29392])). 63.70/9.51 tff(f29392,plain,( 63.70/9.51 $product(0,$product(0,0)) = power(0,$sum(2,6)) | $less($sum(6,1),0) | $less(6,0) | ~spl8_210), 63.70/9.51 inference(superposition,[],[f512,f28465])). 63.70/9.51 tff(f30121,plain,( 63.70/9.51 spl8_222 | ~spl8_206), 63.70/9.51 inference(avatar_split_clause,[],[f28831,f28378,f30118])). 63.70/9.51 tff(f30118,plain,( 63.70/9.51 spl8_222 <=> 1 = power(1,8)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_222])])). 63.70/9.51 tff(f28378,plain,( 63.70/9.51 spl8_206 <=> 1 = power(1,7)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_206])])). 63.70/9.51 tff(f28831,plain,( 63.70/9.51 1 = power(1,8) | ~spl8_206), 63.70/9.51 inference(forward_demodulation,[],[f28816,f28380])). 63.70/9.51 tff(f28380,plain,( 63.70/9.51 1 = power(1,7) | ~spl8_206), 63.70/9.51 inference(avatar_component_clause,[],[f28378])). 63.70/9.51 tff(f28816,plain,( 63.70/9.51 power(1,7) = power(1,8) | ~spl8_206), 63.70/9.51 inference(evaluation,[],[f28779])). 63.70/9.51 tff(f28779,plain,( 63.70/9.51 power(1,$sum(7,1)) = power($product(1,1),7) | $less(7,0) | ~spl8_206), 63.70/9.51 inference(superposition,[],[f563,f28380])). 63.70/9.51 tff(f30114,plain,( 63.70/9.51 ~spl8_220 | spl8_221 | ~spl8_161 | ~spl8_166), 63.70/9.51 inference(avatar_split_clause,[],[f24847,f24795,f22742,f30111,f30107])). 63.70/9.51 tff(f30107,plain,( 63.70/9.51 spl8_220 <=> sF6 = $product(2,sF3)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_220])])). 63.70/9.51 tff(f30111,plain,( 63.70/9.51 spl8_221 <=> mod(1,sF5) = mod(sK1,sF5)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_221])])). 63.70/9.51 tff(f22742,plain,( 63.70/9.51 spl8_161 <=> sK1 = $sum($product(2,sF3),1)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_161])])). 63.70/9.51 tff(f24795,plain,( 63.70/9.51 spl8_166 <=> ! [X15 : $int] : (mod(X15,sF5) = mod($sum(sF6,X15),sF5) | $less(X15,0))), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_166])])). 63.70/9.51 tff(f24847,plain,( 63.70/9.51 mod(1,sF5) = mod(sK1,sF5) | sF6 != $product(2,sF3) | (~spl8_161 | ~spl8_166)), 63.70/9.51 inference(evaluation,[],[f24820])). 63.70/9.51 tff(f24820,plain,( 63.70/9.51 mod(1,sF5) = mod(sK1,sF5) | $less(1,0) | sF6 != $product(2,sF3) | (~spl8_161 | ~spl8_166)), 63.70/9.51 inference(constrained_superposition,[],[f24796,f22744])). 63.70/9.51 tff(f22744,plain,( 63.70/9.51 sK1 = $sum($product(2,sF3),1) | ~spl8_161), 63.70/9.51 inference(avatar_component_clause,[],[f22742])). 63.70/9.51 tff(f24796,plain,( 63.70/9.51 ( ! [X15 : $int] : (mod(X15,sF5) = mod($sum(sF6,X15),sF5) | $less(X15,0)) ) | ~spl8_166), 63.70/9.51 inference(avatar_component_clause,[],[f24795])). 63.70/9.51 tff(f29887,plain,( 63.70/9.51 ~spl8_218 | spl8_219 | spl8_21 | ~spl8_42 | ~spl8_44 | ~spl8_45 | ~spl8_159), 63.70/9.51 inference(avatar_split_clause,[],[f23268,f22581,f1025,f1008,f905,f378,f29885,f29881])). 63.70/9.51 tff(f29881,plain,( 63.70/9.51 spl8_218 <=> 1 = $product(2,sF3)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_218])])). 63.70/9.51 tff(f29885,plain,( 63.70/9.51 spl8_219 <=> ! [X5 : $int] : $product(X5,X5) = power(X5,sK1)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_219])])). 63.70/9.51 tff(f378,plain,( 63.70/9.51 spl8_21 <=> $less(sF7,0)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_21])])). 63.70/9.51 tff(f1008,plain,( 63.70/9.51 spl8_44 <=> 0 = div(sF7,2)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_44])])). 63.70/9.51 tff(f1025,plain,( 63.70/9.51 spl8_45 <=> sF7 = mod(sF7,2)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_45])])). 63.70/9.51 tff(f23268,plain,( 63.70/9.51 ( ! [X5 : $int] : ($product(X5,X5) = power(X5,sK1) | 1 != $product(2,sF3)) ) | (spl8_21 | ~spl8_42 | ~spl8_44 | ~spl8_45 | ~spl8_159)), 63.70/9.51 inference(forward_demodulation,[],[f3080,f23245])). 63.70/9.51 tff(f23245,plain,( 63.70/9.51 ( ! [X22 : $int] : (power(X22,sF7) = X22) ) | (~spl8_44 | ~spl8_45 | ~spl8_159)), 63.70/9.51 inference(global_subsumption,[],[f22583,f6304])). 63.70/9.51 tff(f6304,plain,( 63.70/9.51 ( ! [X22 : $int] : (power(X22,sF7) = X22 | 1 != sF7) ) | (~spl8_44 | ~spl8_45)), 63.70/9.51 inference(evaluation,[],[f6303])). 63.70/9.51 tff(f6303,plain,( 63.70/9.51 ( ! [X22 : $int] : ($product(X22,1) = power(X22,sF7) | 1 != sF7) ) | (~spl8_44 | ~spl8_45)), 63.70/9.51 inference(forward_demodulation,[],[f6302,f122])). 63.70/9.51 tff(f122,plain,( 63.70/9.51 ( ! [X0 : $int] : (1 = power(X0,0)) )), 63.70/9.51 inference(cnf_transformation,[],[f31])). 63.70/9.51 tff(f31,axiom,( 63.70/9.51 ! [X0 : $int] : 1 = power(X0,0)), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_0)). 63.70/9.51 tff(f6302,plain,( 63.70/9.51 ( ! [X22 : $int] : (power(X22,sF7) = $product(X22,power(X22,0)) | 1 != sF7) ) | (~spl8_44 | ~spl8_45)), 63.70/9.51 inference(evaluation,[],[f6301])). 63.70/9.51 tff(f6301,plain,( 63.70/9.51 ( ! [X22 : $int] : (power(X22,sF7) = $product(X22,power(X22,$product(2,0))) | 1 != sF7) ) | (~spl8_44 | ~spl8_45)), 63.70/9.51 inference(forward_demodulation,[],[f6300,f1010])). 63.70/9.51 tff(f1010,plain,( 63.70/9.51 0 = div(sF7,2) | ~spl8_44), 63.70/9.51 inference(avatar_component_clause,[],[f1008])). 63.70/9.51 tff(f6300,plain,( 63.70/9.51 ( ! [X22 : $int] : (1 != sF7 | power(X22,sF7) = $product(X22,power(X22,$product(2,div(sF7,2))))) ) | (~spl8_44 | ~spl8_45)), 63.70/9.51 inference(evaluation,[],[f6299])). 63.70/9.51 tff(f6299,plain,( 63.70/9.51 ( ! [X22 : $int] : ($less($product(2,0),0) | 1 != sF7 | power(X22,sF7) = $product(X22,power(X22,$product(2,div(sF7,2))))) ) | (~spl8_44 | ~spl8_45)), 63.70/9.51 inference(forward_demodulation,[],[f6286,f1010])). 63.70/9.51 tff(f6286,plain,( 63.70/9.51 ( ! [X22 : $int] : (1 != sF7 | $less($product(2,div(sF7,2)),0) | power(X22,sF7) = $product(X22,power(X22,$product(2,div(sF7,2))))) ) | ~spl8_45), 63.70/9.51 inference(evaluation,[],[f6284])). 63.70/9.51 tff(f6284,plain,( 63.70/9.51 ( ! [X22 : $int] : (1 != sF7 | $less($product(2,div(sF7,2)),0) | 0 = 2 | power(X22,sF7) = $product(X22,power(X22,$product(2,div(sF7,2))))) ) | ~spl8_45), 63.70/9.51 inference(superposition,[],[f501,f1027])). 63.70/9.51 tff(f1027,plain,( 63.70/9.51 sF7 = mod(sF7,2) | ~spl8_45), 63.70/9.51 inference(avatar_component_clause,[],[f1025])). 63.70/9.51 tff(f501,plain,( 63.70/9.51 ( ! [X2 : $int,X0 : $int,X1 : $int] : (mod(X0,X1) != 1 | $less($product(X1,div(X0,X1)),0) | 0 = X1 | power(X2,X0) = $product(X2,power(X2,$product(X1,div(X0,X1))))) )), 63.70/9.51 inference(constrained_superposition,[],[f134,f130])). 63.70/9.51 tff(f130,plain,( 63.70/9.51 ( ! [X0 : $int,X1 : $int] : ($sum($product(X1,div(X0,X1)),mod(X0,X1)) = X0 | 0 = X1) )), 63.70/9.51 inference(cnf_transformation,[],[f72])). 63.70/9.51 tff(f72,plain,( 63.70/9.51 ! [X0 : $int,X1 : $int] : ($sum($product(X1,div(X0,X1)),mod(X0,X1)) = X0 | 0 = X1)), 63.70/9.51 inference(ennf_transformation,[],[f7])). 63.70/9.51 tff(f7,axiom,( 63.70/9.51 ! [X0 : $int,X1 : $int] : (0 != X1 => $sum($product(X1,div(X0,X1)),mod(X0,X1)) = X0)), 63.70/9.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mod)). 63.70/9.51 tff(f3080,plain,( 63.70/9.51 ( ! [X5 : $int] : ($product(X5,power(X5,sF7)) = power(X5,sK1) | 1 != $product(2,sF3)) ) | (spl8_21 | ~spl8_42)), 63.70/9.51 inference(global_subsumption,[],[f380,f3021])). 63.70/9.51 tff(f3021,plain,( 63.70/9.51 ( ! [X5 : $int] : ($product(X5,power(X5,sF7)) = power(X5,sK1) | $less(sF7,0) | 1 != $product(2,sF3)) ) | ~spl8_42), 63.70/9.51 inference(constrained_superposition,[],[f638,f907])). 63.70/9.51 tff(f638,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : ($product(X2,power(X2,X3)) = power(X2,$sum(1,X3)) | $less(X3,0)) )), 63.70/9.51 inference(evaluation,[],[f617])). 63.70/9.51 tff(f617,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : ($product(X2,power(X2,X3)) = power(X2,$sum(1,X3)) | $less(X3,0) | $less(1,0)) )), 63.70/9.51 inference(superposition,[],[f151,f125])). 63.70/9.51 tff(f380,plain,( 63.70/9.51 ~$less(sF7,0) | spl8_21), 63.70/9.51 inference(avatar_component_clause,[],[f378])). 63.70/9.51 tff(f29823,plain,( 63.70/9.51 spl8_217 | ~spl8_142), 63.70/9.51 inference(avatar_split_clause,[],[f29710,f13850,f29820])). 63.70/9.51 tff(f29820,plain,( 63.70/9.51 spl8_217 <=> 1 = power(1,2)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_217])])). 63.70/9.51 tff(f13850,plain,( 63.70/9.51 spl8_142 <=> 1 = power(1,3)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_142])])). 63.70/9.51 tff(f29710,plain,( 63.70/9.51 1 = power(1,2) | ~spl8_142), 63.70/9.51 inference(forward_demodulation,[],[f29709,f13852])). 63.70/9.51 tff(f13852,plain,( 63.70/9.51 1 = power(1,3) | ~spl8_142), 63.70/9.51 inference(avatar_component_clause,[],[f13850])). 63.70/9.51 tff(f29709,plain,( 63.70/9.51 power(1,2) = power(1,3)), 63.70/9.51 inference(evaluation,[],[f29606])). 63.70/9.51 tff(f29606,plain,( 63.70/9.51 power(1,2) = power(1,$sum(2,1))), 63.70/9.51 inference(interpreted_simplification,[],[f29605])). 63.70/9.51 tff(f29605,plain,( 63.70/9.51 power(1,2) = power(1,$sum(2,1)) | $less(2,0)), 63.70/9.51 inference(instantiation,[],[f3961])). 63.70/9.51 tff(f3961,plain,( 63.70/9.51 ( ! [X3 : $int] : (power(1,X3) = power(1,$sum(X3,1)) | $less(X3,0)) )), 63.70/9.51 inference(evaluation,[],[f3960])). 63.70/9.51 tff(f3960,plain,( 63.70/9.51 ( ! [X3 : $int] : (power(1,$sum(X3,1)) = $product(1,power(1,X3)) | $less(X3,0)) )), 63.70/9.51 inference(forward_demodulation,[],[f3937,f122])). 63.70/9.51 tff(f3937,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : (power(power(X2,0),$sum(X3,1)) = $product(power(X2,0),power(1,X3)) | $less(X3,0)) )), 63.70/9.51 inference(evaluation,[],[f3936])). 63.70/9.51 tff(f3936,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : (power(power(X2,0),$sum(X3,1)) = $product(power(X2,0),power(1,X3)) | $less(X3,0) | $less(0,0)) )), 63.70/9.51 inference(duplicate_literal_removal,[],[f3907])). 63.70/9.51 tff(f3907,plain,( 63.70/9.51 ( ! [X2 : $int,X3 : $int] : (power(power(X2,0),$sum(X3,1)) = $product(power(X2,0),power(1,X3)) | $less(X3,0) | $less(0,0) | $less(X3,0)) )), 63.70/9.51 inference(superposition,[],[f598,f603])). 63.70/9.51 tff(f603,plain,( 63.70/9.51 ( ! [X0 : $int,X1 : $int] : (power(X0,$product(0,X1)) = power(1,X1) | $less(X1,0)) )), 63.70/9.51 inference(evaluation,[],[f580])). 63.70/9.51 tff(f580,plain,( 63.70/9.51 ( ! [X0 : $int,X1 : $int] : (power(X0,$product(0,X1)) = power(1,X1) | $less(X1,0) | $less(0,0)) )), 63.70/9.51 inference(superposition,[],[f150,f122])). 63.70/9.51 tff(f598,plain,( 63.70/9.51 ( ! [X10 : $int,X11 : $int,X12 : $int] : (power(power(X10,X11),$sum(X12,1)) = $product(power(X10,X11),power(X10,$product(X11,X12))) | $less(X12,0) | $less(X11,0)) )), 63.70/9.51 inference(duplicate_literal_removal,[],[f592])). 63.70/9.51 tff(f592,plain,( 63.70/9.51 ( ! [X10 : $int,X11 : $int,X12 : $int] : (power(power(X10,X11),$sum(X12,1)) = $product(power(X10,X11),power(X10,$product(X11,X12))) | $less(X12,0) | $less(X12,0) | $less(X11,0)) )), 63.70/9.51 inference(superposition,[],[f134,f150])). 63.70/9.51 tff(f29604,plain,( 63.70/9.51 spl8_216 | ~spl8_206), 63.70/9.51 inference(avatar_split_clause,[],[f28821,f28378,f29601])). 63.70/9.51 tff(f28821,plain,( 63.70/9.51 1 = power(1,9) | ~spl8_206), 63.70/9.51 inference(evaluation,[],[f28772])). 63.70/9.51 tff(f28772,plain,( 63.70/9.51 $product(1,$product(1,1)) = power(1,$sum(2,7)) | $less($sum(7,1),0) | $less(7,0) | ~spl8_206), 63.70/9.51 inference(superposition,[],[f512,f28380])). 63.70/9.51 tff(f28963,plain,( 63.70/9.51 ~spl8_215 | ~spl8_49 | spl8_62), 63.70/9.51 inference(avatar_split_clause,[],[f28852,f2099,f1595,f28960])). 63.70/9.51 tff(f28960,plain,( 63.70/9.51 spl8_215 <=> sK0 = -1), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_215])])). 63.70/9.51 tff(f1595,plain,( 63.70/9.51 spl8_49 <=> 1 = abs(1)), 63.70/9.51 introduced(avatar_definition,[new_symbols(naming,[spl8_49])])). 63.70/9.51 tff(f28852,plain,( 63.70/9.51 sK0 != -1 | (~spl8_49 | spl8_62)), 63.70/9.51 inference(evaluation,[],[f28846])). 63.70/9.51 tff(f28846,plain,( 63.70/9.51 $uminus(1) != sK0 | 0 = 1 | ~$less(0,1) | (~spl8_49 | spl8_62)), 63.70/9.51 inference(superposition,[],[f23604,f1597])). 63.70/9.51 tff(f1597,plain,( 63.70/9.51 1 = abs(1) | ~spl8_49), 63.70/9.51 inference(avatar_component_clause,[],[f1595])). 63.70/9.51 tff(f23604,plain,( 63.70/9.51 ( ! [X0 : $int] : (sK0 != $uminus(abs(X0)) | 0 = X0 | ~$less(0,X0)) ) | spl8_62), 63.70/9.51 inference(evaluation,[],[f23602])). 63.70/9.51 tff(f23602,plain,( 63.70/9.51 ( ! [X0 : $int] : (sK0 != $uminus(abs(X0)) | 0 = X0 | ~$less(0,X0) | $less(0,0)) ) | spl8_62), 63.70/9.51 inference(constrained_resolution,[],[f2100,f389])). 63.70/9.51 tff(f389,plain,( 63.70/9.51 ( ! [X6 : $int,X5 : $int] : ($less($uminus(abs(X6)),X5) | 0 = X6 | ~$less(X5,X6) | $less(X5,0)) )), 63.70/9.51 inference(superposition,[],[f131,f138])). 63.70/9.51 tff(f138,plain,( 63.70/9.51 ( ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0)) )), 63.70/9.51 inference(cnf_transformation,[],[f83])). 63.70/9.52 tff(f83,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0))), 63.70/9.52 inference(flattening,[],[f82])). 63.70/9.52 tff(f82,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (mod(X0,X1) = X0 | (~$less(X0,X1) | $less(X0,0)))), 63.70/9.52 inference(ennf_transformation,[],[f44])). 63.70/9.52 tff(f44,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => mod(X0,X1) = X0)), 63.70/9.52 inference(theory_normalization,[],[f25])). 63.70/9.52 tff(f25,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & $lesseq(0,X0)) => mod(X0,X1) = X0)), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_inf)). 63.70/9.52 tff(f131,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : ($less($uminus(abs(X1)),mod(X0,X1)) | 0 = X1) )), 63.70/9.52 inference(cnf_transformation,[],[f73])). 63.70/9.52 tff(f28868,plain,( 63.70/9.52 spl8_214 | ~spl8_7 | spl8_14 | spl8_140), 63.70/9.52 inference(avatar_split_clause,[],[f25505,f13617,f298,f219,f28865])). 63.70/9.52 tff(f28865,plain,( 63.70/9.52 spl8_214 <=> power(sK0,$sum(2,sF3)) = $product(sK0,$product(sK0,sF4))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_214])])). 63.70/9.52 tff(f13617,plain,( 63.70/9.52 spl8_140 <=> $less($sum(sF3,1),0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_140])])). 63.70/9.52 tff(f25505,plain,( 63.70/9.52 power(sK0,$sum(2,sF3)) = $product(sK0,$product(sK0,sF4)) | (~spl8_7 | spl8_14 | spl8_140)), 63.70/9.52 inference(global_subsumption,[],[f13618,f299,f23445])). 63.70/9.52 tff(f23445,plain,( 63.70/9.52 power(sK0,$sum(2,sF3)) = $product(sK0,$product(sK0,sF4)) | $less($sum(sF3,1),0) | $less(sF3,0) | ~spl8_7), 63.70/9.52 inference(superposition,[],[f512,f221])). 63.70/9.52 tff(f13618,plain,( 63.70/9.52 ~$less($sum(sF3,1),0) | spl8_140), 63.70/9.52 inference(avatar_component_clause,[],[f13617])). 63.70/9.52 tff(f28863,plain,( 63.70/9.52 ~spl8_213 | spl8_62 | ~spl8_146), 63.70/9.52 inference(avatar_split_clause,[],[f28851,f16479,f2099,f28860])). 63.70/9.52 tff(f28860,plain,( 63.70/9.52 spl8_213 <=> sK0 = -2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_213])])). 63.70/9.52 tff(f16479,plain,( 63.70/9.52 spl8_146 <=> 2 = abs(2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_146])])). 63.70/9.52 tff(f28851,plain,( 63.70/9.52 sK0 != -2 | (spl8_62 | ~spl8_146)), 63.70/9.52 inference(evaluation,[],[f28847])). 63.70/9.52 tff(f28847,plain,( 63.70/9.52 sK0 != $uminus(2) | 0 = 2 | ~$less(0,2) | (spl8_62 | ~spl8_146)), 63.70/9.52 inference(superposition,[],[f23604,f16481])). 63.70/9.52 tff(f16481,plain,( 63.70/9.52 2 = abs(2) | ~spl8_146), 63.70/9.52 inference(avatar_component_clause,[],[f16479])). 63.70/9.52 tff(f28858,plain,( 63.70/9.52 spl8_212 | ~spl8_9 | spl8_62 | ~spl8_165), 63.70/9.52 inference(avatar_split_clause,[],[f24851,f24791,f2099,f229,f28855])). 63.70/9.52 tff(f28855,plain,( 63.70/9.52 spl8_212 <=> $sum(sK0,div(1,sF5)) = div($sum(sF6,1),sF5)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_212])])). 63.70/9.52 tff(f24791,plain,( 63.70/9.52 spl8_165 <=> $less(0,sF5)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_165])])). 63.70/9.52 tff(f24851,plain,( 63.70/9.52 $sum(sK0,div(1,sF5)) = div($sum(sF6,1),sF5) | (~spl8_9 | spl8_62 | ~spl8_165)), 63.70/9.52 inference(interpreted_simplification,[],[f24850])). 63.70/9.52 tff(f24850,plain,( 63.70/9.52 $sum(sK0,div(1,sF5)) = div($sum(sF6,1),sF5) | $less(1,0) | (~spl8_9 | spl8_62 | ~spl8_165)), 63.70/9.52 inference(instantiation,[],[f24798])). 63.70/9.52 tff(f24798,plain,( 63.70/9.52 ( ! [X15 : $int] : ($sum(sK0,div(X15,sF5)) = div($sum(sF6,X15),sF5) | $less(X15,0)) ) | (~spl8_9 | spl8_62 | ~spl8_165)), 63.70/9.52 inference(subsumption_resolution,[],[f2108,f24792])). 63.70/9.52 tff(f24792,plain,( 63.70/9.52 $less(0,sF5) | ~spl8_165), 63.70/9.52 inference(avatar_component_clause,[],[f24791])). 63.70/9.52 tff(f2108,plain,( 63.70/9.52 ( ! [X15 : $int] : ($sum(sK0,div(X15,sF5)) = div($sum(sF6,X15),sF5) | ~$less(0,sF5) | $less(X15,0)) ) | (~spl8_9 | spl8_62)), 63.70/9.52 inference(subsumption_resolution,[],[f681,f2100])). 63.70/9.52 tff(f681,plain,( 63.70/9.52 ( ! [X15 : $int] : ($sum(sK0,div(X15,sF5)) = div($sum(sF6,X15),sF5) | ~$less(0,sF5) | $less(X15,0) | $less(sK0,0)) ) | ~spl8_9), 63.70/9.52 inference(superposition,[],[f153,f231])). 63.70/9.52 tff(f153,plain,( 63.70/9.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : (div($sum($product(X0,X1),X2),X0) = $sum(X1,div(X2,X0)) | ~$less(0,X0) | $less(X2,0) | $less(X1,0)) )), 63.70/9.52 inference(cnf_transformation,[],[f102])). 63.70/9.52 tff(f102,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int,X2 : $int] : (div($sum($product(X0,X1),X2),X0) = $sum(X1,div(X2,X0)) | ~$less(0,X0) | $less(X2,0) | $less(X1,0))), 63.70/9.52 inference(flattening,[],[f101])). 63.70/9.52 tff(f101,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int,X2 : $int] : (div($sum($product(X0,X1),X2),X0) = $sum(X1,div(X2,X0)) | (~$less(0,X0) | $less(X2,0) | $less(X1,0)))), 63.70/9.52 inference(ennf_transformation,[],[f67])). 63.70/9.52 tff(f67,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & ~$less(X2,0) & ~$less(X1,0)) => div($sum($product(X0,X1),X2),X0) = $sum(X1,div(X2,X0)))), 63.70/9.52 inference(rectify,[],[f54])). 63.70/9.52 tff(f54,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int,X6 : $int] : (($less(0,X0) & ~$less(X6,0) & ~$less(X1,0)) => div($sum($product(X0,X1),X6),X0) = $sum(X1,div(X6,X0)))), 63.70/9.52 inference(theory_normalization,[],[f11])). 63.70/9.52 tff(f11,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int,X6 : $int] : (($less(0,X0) & $lesseq(0,X6) & $lesseq(0,X1)) => div($sum($product(X0,X1),X6),X0) = $sum(X1,div(X6,X0)))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_mult)). 63.70/9.52 tff(f28517,plain,( 63.70/9.52 spl8_211 | ~spl8_194), 63.70/9.52 inference(avatar_split_clause,[],[f28119,f27026,f28514])). 63.70/9.52 tff(f28514,plain,( 63.70/9.52 spl8_211 <=> 0 = power(0,5)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_211])])). 63.70/9.52 tff(f27026,plain,( 63.70/9.52 spl8_194 <=> 0 = power(0,4)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_194])])). 63.70/9.52 tff(f28119,plain,( 63.70/9.52 0 = power(0,5) | ~spl8_194), 63.70/9.52 inference(forward_demodulation,[],[f28100,f27028])). 63.70/9.52 tff(f27028,plain,( 63.70/9.52 0 = power(0,4) | ~spl8_194), 63.70/9.52 inference(avatar_component_clause,[],[f27026])). 63.70/9.52 tff(f28100,plain,( 63.70/9.52 power(0,4) = power(0,5) | ~spl8_194), 63.70/9.52 inference(evaluation,[],[f28068])). 63.70/9.52 tff(f28068,plain,( 63.70/9.52 power(0,$sum(4,1)) = power($product(0,0),4) | $less(4,0) | ~spl8_194), 63.70/9.52 inference(superposition,[],[f563,f27028])). 63.70/9.52 tff(f28466,plain,( 63.70/9.52 spl8_210 | ~spl8_194), 63.70/9.52 inference(avatar_split_clause,[],[f28107,f27026,f28463])). 63.70/9.52 tff(f28107,plain,( 63.70/9.52 0 = power(0,6) | ~spl8_194), 63.70/9.52 inference(evaluation,[],[f28061])). 63.70/9.52 tff(f28061,plain,( 63.70/9.52 $product(0,$product(0,0)) = power(0,$sum(2,4)) | $less($sum(4,1),0) | $less(4,0) | ~spl8_194), 63.70/9.52 inference(superposition,[],[f512,f27028])). 63.70/9.52 tff(f28440,plain,( 63.70/9.52 spl8_209 | ~spl8_5), 63.70/9.52 inference(avatar_split_clause,[],[f3169,f209,f28437])). 63.70/9.52 tff(f28437,plain,( 63.70/9.52 spl8_209 <=> power(sK0,$sum(2,sK1)) = $product($product(sK0,sK0),sF2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_209])])). 63.70/9.52 tff(f3169,plain,( 63.70/9.52 power(sK0,$sum(2,sK1)) = $product($product(sK0,sK0),sF2) | ~spl8_5), 63.70/9.52 inference(forward_demodulation,[],[f3136,f513])). 63.70/9.52 tff(f3136,plain,( 63.70/9.52 power(sK0,$sum(2,sK1)) = $product(power(sK0,2),sF2) | ~spl8_5), 63.70/9.52 inference(interpreted_simplification,[],[f3135])). 63.70/9.52 tff(f3135,plain,( 63.70/9.52 power(sK0,$sum(2,sK1)) = $product(power(sK0,2),sF2) | $less(2,0) | ~spl8_5), 63.70/9.52 inference(instantiation,[],[f644])). 63.70/9.52 tff(f644,plain,( 63.70/9.52 ( ! [X7 : $int] : (power(sK0,$sum(X7,sK1)) = $product(power(sK0,X7),sF2) | $less(X7,0)) ) | ~spl8_5), 63.70/9.52 inference(global_subsumption,[],[f107,f625])). 63.70/9.52 tff(f625,plain,( 63.70/9.52 ( ! [X7 : $int] : (power(sK0,$sum(X7,sK1)) = $product(power(sK0,X7),sF2) | $less(sK1,0) | $less(X7,0)) ) | ~spl8_5), 63.70/9.52 inference(superposition,[],[f151,f211])). 63.70/9.52 tff(f28435,plain,( 63.70/9.52 spl8_208 | ~spl8_182), 63.70/9.52 inference(avatar_split_clause,[],[f27206,f25949,f28432])). 63.70/9.52 tff(f28432,plain,( 63.70/9.52 spl8_208 <=> 1 = power(1,6)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_208])])). 63.70/9.52 tff(f25949,plain,( 63.70/9.52 spl8_182 <=> 1 = power(1,5)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_182])])). 63.70/9.52 tff(f27206,plain,( 63.70/9.52 1 = power(1,6) | ~spl8_182), 63.70/9.52 inference(forward_demodulation,[],[f27191,f25951])). 63.70/9.52 tff(f25951,plain,( 63.70/9.52 1 = power(1,5) | ~spl8_182), 63.70/9.52 inference(avatar_component_clause,[],[f25949])). 63.70/9.52 tff(f27191,plain,( 63.70/9.52 power(1,5) = power(1,6) | ~spl8_182), 63.70/9.52 inference(evaluation,[],[f27154])). 63.70/9.52 tff(f27154,plain,( 63.70/9.52 power(1,$sum(5,1)) = power($product(1,1),5) | $less(5,0) | ~spl8_182), 63.70/9.52 inference(superposition,[],[f563,f25951])). 63.70/9.52 tff(f28430,plain,( 63.70/9.52 spl8_207 | ~spl8_5), 63.70/9.52 inference(avatar_split_clause,[],[f3113,f209,f28427])). 63.70/9.52 tff(f28427,plain,( 63.70/9.52 spl8_207 <=> power(sK0,$sum(sK1,2)) = $product(sF2,$product(sK0,sK0))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_207])])). 63.70/9.52 tff(f3113,plain,( 63.70/9.52 power(sK0,$sum(sK1,2)) = $product(sF2,$product(sK0,sK0)) | ~spl8_5), 63.70/9.52 inference(forward_demodulation,[],[f3086,f513])). 63.70/9.52 tff(f3086,plain,( 63.70/9.52 power(sK0,$sum(sK1,2)) = $product(sF2,power(sK0,2)) | ~spl8_5), 63.70/9.52 inference(interpreted_simplification,[],[f3085])). 63.70/9.52 tff(f3085,plain,( 63.70/9.52 power(sK0,$sum(sK1,2)) = $product(sF2,power(sK0,2)) | $less(2,0) | ~spl8_5), 63.70/9.52 inference(instantiation,[],[f642])). 63.70/9.52 tff(f28381,plain,( 63.70/9.52 spl8_206 | ~spl8_182), 63.70/9.52 inference(avatar_split_clause,[],[f27196,f25949,f28378])). 63.70/9.52 tff(f27196,plain,( 63.70/9.52 1 = power(1,7) | ~spl8_182), 63.70/9.52 inference(evaluation,[],[f27147])). 63.70/9.52 tff(f27147,plain,( 63.70/9.52 $product(1,$product(1,1)) = power(1,$sum(2,5)) | $less($sum(5,1),0) | $less(5,0) | ~spl8_182), 63.70/9.52 inference(superposition,[],[f512,f25951])). 63.70/9.52 tff(f28011,plain,( 63.70/9.52 ~spl8_204 | spl8_205 | ~spl8_7 | ~spl8_9 | spl8_14 | spl8_62), 63.70/9.52 inference(avatar_split_clause,[],[f24250,f2099,f298,f229,f219,f28008,f28004])). 63.70/9.52 tff(f28004,plain,( 63.70/9.52 spl8_204 <=> sF3 = sF5), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_204])])). 63.70/9.52 tff(f28008,plain,( 63.70/9.52 spl8_205 <=> power(sK0,sF6) = power(sF4,sK0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_205])])). 63.70/9.52 tff(f24250,plain,( 63.70/9.52 power(sK0,sF6) = power(sF4,sK0) | sF3 != sF5 | (~spl8_7 | ~spl8_9 | spl8_14 | spl8_62)), 63.70/9.52 inference(global_subsumption,[],[f2100,f24186])). 63.70/9.52 tff(f24186,plain,( 63.70/9.52 power(sK0,sF6) = power(sF4,sK0) | $less(sK0,0) | sF3 != sF5 | (~spl8_7 | ~spl8_9 | spl8_14)), 63.70/9.52 inference(constrained_superposition,[],[f606,f231])). 63.70/9.52 tff(f606,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$product(sF3,X8)) = power(sF4,X8) | $less(X8,0)) ) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(global_subsumption,[],[f299,f584])). 63.70/9.52 tff(f584,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$product(sF3,X8)) = power(sF4,X8) | $less(X8,0) | $less(sF3,0)) ) | ~spl8_7), 63.70/9.52 inference(superposition,[],[f150,f221])). 63.70/9.52 tff(f27998,plain,( 63.70/9.52 ~spl8_202 | spl8_203 | ~spl8_5 | ~spl8_9 | spl8_62), 63.70/9.52 inference(avatar_split_clause,[],[f24170,f2099,f229,f209,f27995,f27991])). 63.70/9.52 tff(f27991,plain,( 63.70/9.52 spl8_202 <=> sK1 = sF5), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_202])])). 63.70/9.52 tff(f27995,plain,( 63.70/9.52 spl8_203 <=> power(sF2,sK0) = power(sK0,sF6)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_203])])). 63.70/9.52 tff(f24170,plain,( 63.70/9.52 power(sF2,sK0) = power(sK0,sF6) | sK1 != sF5 | (~spl8_5 | ~spl8_9 | spl8_62)), 63.70/9.52 inference(global_subsumption,[],[f2100,f24110])). 63.70/9.52 tff(f24110,plain,( 63.70/9.52 power(sF2,sK0) = power(sK0,sF6) | $less(sK0,0) | sK1 != sF5 | (~spl8_5 | ~spl8_9)), 63.70/9.52 inference(constrained_superposition,[],[f605,f231])). 63.70/9.52 tff(f605,plain,( 63.70/9.52 ( ! [X7 : $int] : (power(sK0,$product(sK1,X7)) = power(sF2,X7) | $less(X7,0)) ) | ~spl8_5), 63.70/9.52 inference(global_subsumption,[],[f107,f583])). 63.70/9.52 tff(f583,plain,( 63.70/9.52 ( ! [X7 : $int] : (power(sK0,$product(sK1,X7)) = power(sF2,X7) | $less(X7,0) | $less(sK1,0)) ) | ~spl8_5), 63.70/9.52 inference(superposition,[],[f150,f211])). 63.70/9.52 tff(f27920,plain,( 63.70/9.52 ~spl8_201 | ~spl8_8 | ~spl8_13 | spl8_164 | ~spl8_165), 63.70/9.52 inference(avatar_split_clause,[],[f27848,f24791,f24098,f293,f224,f27917])). 63.70/9.52 tff(f27917,plain,( 63.70/9.52 spl8_201 <=> sF4 = div(0,sF4)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_201])])). 63.70/9.52 tff(f293,plain,( 63.70/9.52 spl8_13 <=> 0 = abs(0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_13])])). 63.70/9.52 tff(f24098,plain,( 63.70/9.52 spl8_164 <=> 0 = sF4), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_164])])). 63.70/9.52 tff(f27848,plain,( 63.70/9.52 sF4 != div(0,sF4) | (~spl8_8 | ~spl8_13 | spl8_164 | ~spl8_165)), 63.70/9.52 inference(global_subsumption,[],[f24100,f24792,f27841])). 63.70/9.52 tff(f27841,plain,( 63.70/9.52 ~$less(0,sF5) | 0 = sF4 | sF4 != div(0,sF4) | (~spl8_8 | ~spl8_13)), 63.70/9.52 inference(constrained_superposition,[],[f2058,f226])). 63.70/9.52 tff(f2058,plain,( 63.70/9.52 ( ! [X2 : $int] : (~$less(0,$product(div(0,X2),X2)) | 0 = X2) ) | ~spl8_13), 63.70/9.52 inference(superposition,[],[f454,f295])). 63.70/9.52 tff(f295,plain,( 63.70/9.52 0 = abs(0) | ~spl8_13), 63.70/9.52 inference(avatar_component_clause,[],[f293])). 63.70/9.52 tff(f454,plain,( 63.70/9.52 ( ! [X10 : $int,X9 : $int] : (~$less(abs(X10),$product(div(X10,X9),X9)) | 0 = X9) )), 63.70/9.52 inference(resolution,[],[f129,f145])). 63.70/9.52 tff(f145,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : ($less(X1,abs(X0)) | ~$less(X1,X0)) )), 63.70/9.52 inference(cnf_transformation,[],[f106])). 63.70/9.52 tff(f106,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs(X0))) & (~$less(X1,abs(X0)) | $less(X1,X0) | $less(X0,$uminus(X1))))), 63.70/9.52 inference(flattening,[],[f105])). 63.70/9.52 tff(f105,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs(X0))) & (~$less(X1,abs(X0)) | ($less(X1,X0) | $less(X0,$uminus(X1)))))), 63.70/9.52 inference(nnf_transformation,[],[f48])). 63.70/9.52 tff(f48,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) <=> ~$less(X1,abs(X0)))), 63.70/9.52 inference(theory_normalization,[],[f10])). 63.70/9.52 tff(f10,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (($lesseq(X0,X1) & $lesseq($uminus(X1),X0)) <=> $lesseq(abs(X0),X1))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_le)). 63.70/9.52 tff(f129,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (~$less(abs(X0),abs($product(div(X0,X1),X1))) | 0 = X1) )), 63.70/9.52 inference(cnf_transformation,[],[f71])). 63.70/9.52 tff(f71,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (~$less(abs(X0),abs($product(div(X0,X1),X1))) | 0 = X1)), 63.70/9.52 inference(ennf_transformation,[],[f38])). 63.70/9.52 tff(f38,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (0 != X1 => ~$less(abs(X0),abs($product(div(X0,X1),X1))))), 63.70/9.52 inference(theory_normalization,[],[f6])). 63.70/9.52 tff(f6,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (0 != X1 => $lesseq(abs($product(div(X0,X1),X1)),abs(X0)))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rounds_toward_zero)). 63.70/9.52 tff(f24100,plain,( 63.70/9.52 0 != sF4 | spl8_164), 63.70/9.52 inference(avatar_component_clause,[],[f24098])). 63.70/9.52 tff(f27815,plain,( 63.70/9.52 ~spl8_200 | spl8_186), 63.70/9.52 inference(avatar_split_clause,[],[f27786,f26476,f27812])). 63.70/9.52 tff(f27812,plain,( 63.70/9.52 spl8_200 <=> sK0 = -3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_200])])). 63.70/9.52 tff(f26476,plain,( 63.70/9.52 spl8_186 <=> sK0 = $uminus(abs(3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_186])])). 63.70/9.52 tff(f27786,plain,( 63.70/9.52 sK0 != -3 | spl8_186), 63.70/9.52 inference(evaluation,[],[f27783])). 63.70/9.52 tff(f27783,plain,( 63.70/9.52 sK0 != $uminus(3) | $less(3,0) | spl8_186), 63.70/9.52 inference(superposition,[],[f26478,f126])). 63.70/9.52 tff(f26478,plain,( 63.70/9.52 sK0 != $uminus(abs(3)) | spl8_186), 63.70/9.52 inference(avatar_component_clause,[],[f26476])). 63.70/9.52 tff(f27054,plain,( 63.70/9.52 spl8_199 | ~spl8_166), 63.70/9.52 inference(avatar_split_clause,[],[f24816,f24795,f27051])). 63.70/9.52 tff(f27051,plain,( 63.70/9.52 spl8_199 <=> mod(1,sF5) = mod($sum(sF6,1),sF5)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_199])])). 63.70/9.52 tff(f24816,plain,( 63.70/9.52 mod(1,sF5) = mod($sum(sF6,1),sF5) | ~spl8_166), 63.70/9.52 inference(interpreted_simplification,[],[f24815])). 63.70/9.52 tff(f24815,plain,( 63.70/9.52 mod(1,sF5) = mod($sum(sF6,1),sF5) | $less(1,0) | ~spl8_166), 63.70/9.52 inference(instantiation,[],[f24796])). 63.70/9.52 tff(f27049,plain,( 63.70/9.52 spl8_198 | ~spl8_7 | spl8_14), 63.70/9.52 inference(avatar_split_clause,[],[f24676,f298,f219,f27046])). 63.70/9.52 tff(f27046,plain,( 63.70/9.52 spl8_198 <=> $product(sK0,sF4) = power(sK0,$sum(1,sF3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_198])])). 63.70/9.52 tff(f24676,plain,( 63.70/9.52 $product(sK0,sF4) = power(sK0,$sum(1,sF3)) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(forward_demodulation,[],[f24602,f125])). 63.70/9.52 tff(f24602,plain,( 63.70/9.52 power(sK0,$sum(1,sF3)) = $product(power(sK0,1),sF4) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(interpreted_simplification,[],[f24601])). 63.70/9.52 tff(f24601,plain,( 63.70/9.52 power(sK0,$sum(1,sF3)) = $product(power(sK0,1),sF4) | $less(1,0) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(instantiation,[],[f645])). 63.70/9.52 tff(f645,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$sum(X8,sF3)) = $product(power(sK0,X8),sF4) | $less(X8,0)) ) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(global_subsumption,[],[f299,f626])). 63.70/9.52 tff(f626,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$sum(X8,sF3)) = $product(power(sK0,X8),sF4) | $less(sF3,0) | $less(X8,0)) ) | ~spl8_7), 63.70/9.52 inference(superposition,[],[f151,f221])). 63.70/9.52 tff(f27044,plain,( 63.70/9.52 spl8_197 | ~spl8_144), 63.70/9.52 inference(avatar_split_clause,[],[f25126,f14378,f27041])). 63.70/9.52 tff(f27041,plain,( 63.70/9.52 spl8_197 <=> 0 = power(0,3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_197])])). 63.70/9.52 tff(f14378,plain,( 63.70/9.52 spl8_144 <=> 0 = power(0,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_144])])). 63.70/9.52 tff(f25126,plain,( 63.70/9.52 0 = power(0,3) | ~spl8_144), 63.70/9.52 inference(evaluation,[],[f25125])). 63.70/9.52 tff(f25125,plain,( 63.70/9.52 $product(0,0) = power(0,3) | ~spl8_144), 63.70/9.52 inference(forward_demodulation,[],[f25055,f513])). 63.70/9.52 tff(f25055,plain,( 63.70/9.52 power(0,2) = power(0,3) | ~spl8_144), 63.70/9.52 inference(evaluation,[],[f25023])). 63.70/9.52 tff(f25023,plain,( 63.70/9.52 power($product(0,0),2) = power(0,$sum(2,1)) | $less(2,0) | ~spl8_144), 63.70/9.52 inference(superposition,[],[f563,f14380])). 63.70/9.52 tff(f14380,plain,( 63.70/9.52 0 = power(0,2) | ~spl8_144), 63.70/9.52 inference(avatar_component_clause,[],[f14378])). 63.70/9.52 tff(f27039,plain,( 63.70/9.52 spl8_196 | ~spl8_5), 63.70/9.52 inference(avatar_split_clause,[],[f24583,f209,f27036])). 63.70/9.52 tff(f27036,plain,( 63.70/9.52 spl8_196 <=> $product(sK0,sF2) = power(sK0,$sum(1,sK1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_196])])). 63.70/9.52 tff(f24583,plain,( 63.70/9.52 $product(sK0,sF2) = power(sK0,$sum(1,sK1)) | ~spl8_5), 63.70/9.52 inference(forward_demodulation,[],[f24514,f125])). 63.70/9.52 tff(f24514,plain,( 63.70/9.52 power(sK0,$sum(1,sK1)) = $product(power(sK0,1),sF2) | ~spl8_5), 63.70/9.52 inference(interpreted_simplification,[],[f24513])). 63.70/9.52 tff(f24513,plain,( 63.70/9.52 power(sK0,$sum(1,sK1)) = $product(power(sK0,1),sF2) | $less(1,0) | ~spl8_5), 63.70/9.52 inference(instantiation,[],[f644])). 63.70/9.52 tff(f27034,plain,( 63.70/9.52 spl8_195 | ~spl8_7 | spl8_14), 63.70/9.52 inference(avatar_split_clause,[],[f24478,f298,f219,f27031])). 63.70/9.52 tff(f27031,plain,( 63.70/9.52 spl8_195 <=> power(sK0,$sum(sF3,1)) = $product(sF4,sK0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_195])])). 63.70/9.52 tff(f24478,plain,( 63.70/9.52 power(sK0,$sum(sF3,1)) = $product(sF4,sK0) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(forward_demodulation,[],[f24391,f125])). 63.70/9.52 tff(f24391,plain,( 63.70/9.52 power(sK0,$sum(sF3,1)) = $product(sF4,power(sK0,1)) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(interpreted_simplification,[],[f24390])). 63.70/9.52 tff(f24390,plain,( 63.70/9.52 power(sK0,$sum(sF3,1)) = $product(sF4,power(sK0,1)) | $less(1,0) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(instantiation,[],[f643])). 63.70/9.52 tff(f643,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$sum(sF3,X8)) = $product(sF4,power(sK0,X8)) | $less(X8,0)) ) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(global_subsumption,[],[f299,f620])). 63.70/9.52 tff(f620,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$sum(sF3,X8)) = $product(sF4,power(sK0,X8)) | $less(X8,0) | $less(sF3,0)) ) | ~spl8_7), 63.70/9.52 inference(superposition,[],[f151,f221])). 63.70/9.52 tff(f27029,plain,( 63.70/9.52 spl8_194 | ~spl8_144), 63.70/9.52 inference(avatar_split_clause,[],[f25062,f14378,f27026])). 63.70/9.52 tff(f25062,plain,( 63.70/9.52 0 = power(0,4) | ~spl8_144), 63.70/9.52 inference(evaluation,[],[f25016])). 63.70/9.52 tff(f25016,plain,( 63.70/9.52 $product(0,$product(0,0)) = power(0,$sum(2,2)) | $less($sum(2,1),0) | $less(2,0) | ~spl8_144), 63.70/9.52 inference(superposition,[],[f512,f14380])). 63.70/9.52 tff(f27024,plain,( 63.70/9.52 spl8_193 | ~spl8_5), 63.70/9.52 inference(avatar_split_clause,[],[f24351,f209,f27021])). 63.70/9.52 tff(f27021,plain,( 63.70/9.52 spl8_193 <=> power(sK0,$sum(sK1,1)) = $product(sF2,sK0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_193])])). 63.70/9.52 tff(f24351,plain,( 63.70/9.52 power(sK0,$sum(sK1,1)) = $product(sF2,sK0) | ~spl8_5), 63.70/9.52 inference(forward_demodulation,[],[f24270,f125])). 63.70/9.52 tff(f24270,plain,( 63.70/9.52 power(sK0,$sum(sK1,1)) = $product(sF2,power(sK0,1)) | ~spl8_5), 63.70/9.52 inference(interpreted_simplification,[],[f24269])). 63.70/9.52 tff(f24269,plain,( 63.70/9.52 power(sK0,$sum(sK1,1)) = $product(sF2,power(sK0,1)) | $less(1,0) | ~spl8_5), 63.70/9.52 inference(instantiation,[],[f642])). 63.70/9.52 tff(f27008,plain,( 63.70/9.52 spl8_191 | spl8_192 | ~spl8_146), 63.70/9.52 inference(avatar_split_clause,[],[f17024,f16479,f27006,f27003])). 63.70/9.52 tff(f27003,plain,( 63.70/9.52 spl8_191 <=> ! [X8 : $int] : 0 != mod(X8,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_191])])). 63.70/9.52 tff(f27006,plain,( 63.70/9.52 spl8_192 <=> ! [X7 : $int] : abs(X7) != -2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_192])])). 63.70/9.52 tff(f17024,plain,( 63.70/9.52 ( ! [X8 : $int,X7 : $int] : (abs(X7) != -2 | 0 != mod(X8,2)) ) | ~spl8_146), 63.70/9.52 inference(evaluation,[],[f17018])). 63.70/9.52 tff(f17018,plain,( 63.70/9.52 ( ! [X8 : $int,X7 : $int] : (abs(X7) != $uminus(2) | 0 != mod(X8,2) | 0 = 2) ) | ~spl8_146), 63.70/9.52 inference(superposition,[],[f328,f16481])). 63.70/9.52 tff(f328,plain,( 63.70/9.52 ( ! [X6 : $int,X7 : $int,X5 : $int] : ($uminus(abs(X6)) != abs(X7) | 0 != mod(X5,X6) | 0 = X6) )), 63.70/9.52 inference(constrained_resolution,[],[f131,f120])). 63.70/9.52 tff(f120,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(abs(X0),0)) )), 63.70/9.52 inference(cnf_transformation,[],[f36])). 63.70/9.52 tff(f36,plain,( 63.70/9.52 ! [X0 : $int] : ~$less(abs(X0),0)), 63.70/9.52 inference(theory_normalization,[],[f29])). 63.70/9.52 tff(f29,axiom,( 63.70/9.52 ! [X0 : $int] : $lesseq(0,abs(X0))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',abs_pos)). 63.70/9.52 tff(f26997,plain,( 63.70/9.52 ~spl8_189 | ~spl8_190 | spl8_41 | ~spl8_147), 63.70/9.52 inference(avatar_split_clause,[],[f16578,f16485,f900,f26994,f26990])). 63.70/9.52 tff(f26990,plain,( 63.70/9.52 spl8_189 <=> 2 = abs(sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_189])])). 63.70/9.52 tff(f26994,plain,( 63.70/9.52 spl8_190 <=> $product(sF3,2) = 3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_190])])). 63.70/9.52 tff(f900,plain,( 63.70/9.52 spl8_41 <=> $less(abs(sK1),abs($product(sF3,2)))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_41])])). 63.70/9.52 tff(f16485,plain,( 63.70/9.52 spl8_147 <=> $less(2,abs(3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_147])])). 63.70/9.52 tff(f16578,plain,( 63.70/9.52 $product(sF3,2) != 3 | 2 != abs(sK1) | (spl8_41 | ~spl8_147)), 63.70/9.52 inference(constrained_resolution,[],[f902,f16487])). 63.70/9.52 tff(f16487,plain,( 63.70/9.52 $less(2,abs(3)) | ~spl8_147), 63.70/9.52 inference(avatar_component_clause,[],[f16485])). 63.70/9.52 tff(f902,plain,( 63.70/9.52 ~$less(abs(sK1),abs($product(sF3,2))) | spl8_41), 63.70/9.52 inference(avatar_component_clause,[],[f900])). 63.70/9.52 tff(f26875,plain,( 63.70/9.52 ~spl8_188 | ~spl8_165), 63.70/9.52 inference(avatar_split_clause,[],[f24808,f24791,f26872])). 63.70/9.52 tff(f26872,plain,( 63.70/9.52 spl8_188 <=> 0 = abs(abs(sF5))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_188])])). 63.70/9.52 tff(f24808,plain,( 63.70/9.52 0 != abs(abs(sF5)) | ~spl8_165), 63.70/9.52 inference(constrained_resolution,[],[f24792,f2118])). 63.70/9.52 tff(f2118,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(abs(abs(X0)),X0)) )), 63.70/9.52 inference(resolution,[],[f2070,f145])). 63.70/9.52 tff(f2070,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(abs(X0),X0)) )), 63.70/9.52 inference(evaluation,[],[f2061])). 63.70/9.52 tff(f2061,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(abs(X0),$product(X0,1)) | 0 = 1) )), 63.70/9.52 inference(superposition,[],[f454,f124])). 63.70/9.52 tff(f124,plain,( 63.70/9.52 ( ! [X0 : $int] : (div(X0,1) = X0) )), 63.70/9.52 inference(cnf_transformation,[],[f22])). 63.70/9.52 tff(f22,axiom,( 63.70/9.52 ! [X0 : $int] : div(X0,1) = X0), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_1)). 63.70/9.52 tff(f26736,plain,( 63.70/9.52 spl8_187 | ~spl8_8), 63.70/9.52 inference(avatar_split_clause,[],[f26583,f224,f26733])). 63.70/9.52 tff(f26733,plain,( 63.70/9.52 spl8_187 <=> sF5 = power(sF4,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_187])])). 63.70/9.52 tff(f26583,plain,( 63.70/9.52 sF5 = power(sF4,2) | ~spl8_8), 63.70/9.52 inference(forward_demodulation,[],[f26489,f125])). 63.70/9.52 tff(f26489,plain,( 63.70/9.52 power(sF4,2) = power(sF5,1) | ~spl8_8), 63.70/9.52 inference(superposition,[],[f3428,f226])). 63.70/9.52 tff(f3428,plain,( 63.70/9.52 ( ! [X3 : $int] : (power(X3,2) = power($product(X3,X3),1)) )), 63.70/9.52 inference(forward_demodulation,[],[f3427,f125])). 63.70/9.52 tff(f3427,plain,( 63.70/9.52 ( ! [X3 : $int] : (power($product(X3,power(X3,1)),1) = power(power(X3,1),2)) )), 63.70/9.52 inference(evaluation,[],[f3343])). 63.70/9.52 tff(f3343,plain,( 63.70/9.52 ( ! [X3 : $int] : (power(power(X3,1),$sum(1,1)) = power($product(X3,power(X3,1)),1)) )), 63.70/9.52 inference(interpreted_simplification,[],[f3342])). 63.70/9.52 tff(f3342,plain,( 63.70/9.52 ( ! [X3 : $int] : (power(power(X3,1),$sum(1,1)) = power($product(X3,power(X3,1)),1) | $less(1,0)) )), 63.70/9.52 inference(instantiation,[],[f563])). 63.70/9.52 tff(f26479,plain,( 63.70/9.52 ~spl8_186 | spl8_62 | ~spl8_138), 63.70/9.52 inference(avatar_split_clause,[],[f23601,f13439,f2099,f26476])). 63.70/9.52 tff(f23601,plain,( 63.70/9.52 sK0 != $uminus(abs(3)) | (spl8_62 | ~spl8_138)), 63.70/9.52 inference(constrained_resolution,[],[f2100,f13441])). 63.70/9.52 tff(f26223,plain,( 63.70/9.52 ~spl8_185 | ~spl8_34), 63.70/9.52 inference(avatar_split_clause,[],[f20486,f788,f26220])). 63.70/9.52 tff(f26220,plain,( 63.70/9.52 spl8_185 <=> 0 = abs(abs(sK1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_185])])). 63.70/9.52 tff(f788,plain,( 63.70/9.52 spl8_34 <=> $less(0,sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_34])])). 63.70/9.52 tff(f20486,plain,( 63.70/9.52 0 != abs(abs(sK1)) | ~spl8_34), 63.70/9.52 inference(constrained_resolution,[],[f2118,f790])). 63.70/9.52 tff(f790,plain,( 63.70/9.52 $less(0,sK1) | ~spl8_34), 63.70/9.52 inference(avatar_component_clause,[],[f788])). 63.70/9.52 tff(f25968,plain,( 63.70/9.52 spl8_184 | ~spl8_142), 63.70/9.52 inference(avatar_split_clause,[],[f14728,f13850,f25965])). 63.70/9.52 tff(f25965,plain,( 63.70/9.52 spl8_184 <=> 1 = power(1,4)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_184])])). 63.70/9.52 tff(f14728,plain,( 63.70/9.52 1 = power(1,4) | ~spl8_142), 63.70/9.52 inference(evaluation,[],[f14665])). 63.70/9.52 tff(f14665,plain,( 63.70/9.52 $product(1,1) = power(1,4) | ~spl8_142), 63.70/9.52 inference(superposition,[],[f3589,f13852])). 63.70/9.52 tff(f3589,plain,( 63.70/9.52 ( ! [X14 : $int] : (power(X14,4) = $product(X14,power(X14,3))) )), 63.70/9.52 inference(forward_demodulation,[],[f3580,f928])). 63.70/9.52 tff(f928,plain,( 63.70/9.52 ( ! [X10 : $int] : ($product(X10,$product(X10,X10)) = power(X10,3)) )), 63.70/9.52 inference(evaluation,[],[f925])). 63.70/9.52 tff(f925,plain,( 63.70/9.52 ( ! [X10 : $int] : (power(X10,$sum(2,1)) = $product(X10,$product(X10,X10)) | $less(2,0)) )), 63.70/9.52 inference(superposition,[],[f134,f513])). 63.70/9.52 tff(f3580,plain,( 63.70/9.52 ( ! [X14 : $int] : (power(X14,4) = $product(X14,$product(X14,$product(X14,X14)))) )), 63.70/9.52 inference(evaluation,[],[f3526])). 63.70/9.52 tff(f3526,plain,( 63.70/9.52 ( ! [X14 : $int] : (power(X14,$sum(2,2)) = $product(X14,$product(X14,$product(X14,X14))) | $less($sum(2,1),0) | $less(2,0)) )), 63.70/9.52 inference(superposition,[],[f512,f513])). 63.70/9.52 tff(f25957,plain,( 63.70/9.52 spl8_183 | ~spl8_7 | ~spl8_9 | spl8_14), 63.70/9.52 inference(avatar_split_clause,[],[f2184,f298,f229,f219,f25954])). 63.70/9.52 tff(f25954,plain,( 63.70/9.52 spl8_183 <=> $product(power(sF5,sF3),sF4) = power(sF6,sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_183])])). 63.70/9.52 tff(f2184,plain,( 63.70/9.52 $product(power(sF5,sF3),sF4) = power(sF6,sF3) | (~spl8_7 | ~spl8_9 | spl8_14)), 63.70/9.52 inference(superposition,[],[f577,f231])). 63.70/9.52 tff(f25952,plain,( 63.70/9.52 spl8_182 | ~spl8_142), 63.70/9.52 inference(avatar_split_clause,[],[f14722,f13850,f25949])). 63.70/9.52 tff(f14722,plain,( 63.70/9.52 1 = power(1,5) | ~spl8_142), 63.70/9.52 inference(evaluation,[],[f14673])). 63.70/9.52 tff(f14673,plain,( 63.70/9.52 $product(1,$product(1,1)) = power(1,$sum(2,3)) | $less($sum(3,1),0) | $less(3,0) | ~spl8_142), 63.70/9.52 inference(superposition,[],[f512,f13852])). 63.70/9.52 tff(f25947,plain,( 63.70/9.52 spl8_181 | ~spl8_5 | ~spl8_9), 63.70/9.52 inference(avatar_split_clause,[],[f2159,f229,f209,f25944])). 63.70/9.52 tff(f25944,plain,( 63.70/9.52 spl8_181 <=> $product(power(sF5,sK1),sF2) = power(sF6,sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_181])])). 63.70/9.52 tff(f2159,plain,( 63.70/9.52 $product(power(sF5,sK1),sF2) = power(sF6,sK1) | (~spl8_5 | ~spl8_9)), 63.70/9.52 inference(superposition,[],[f576,f231])). 63.70/9.52 tff(f576,plain,( 63.70/9.52 ( ! [X7 : $int] : (power($product(X7,sK0),sK1) = $product(power(X7,sK1),sF2)) ) | ~spl8_5), 63.70/9.52 inference(global_subsumption,[],[f107,f551])). 63.70/9.52 tff(f551,plain,( 63.70/9.52 ( ! [X7 : $int] : (power($product(X7,sK0),sK1) = $product(power(X7,sK1),sF2) | $less(sK1,0)) ) | ~spl8_5), 63.70/9.52 inference(superposition,[],[f149,f211])). 63.70/9.52 tff(f25885,plain,( 63.70/9.52 ~spl8_180 | ~spl8_13 | ~spl8_138), 63.70/9.52 inference(avatar_split_clause,[],[f13891,f13439,f293,f25882])). 63.70/9.52 tff(f25882,plain,( 63.70/9.52 spl8_180 <=> 0 = $uminus(abs(3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_180])])). 63.70/9.52 tff(f13891,plain,( 63.70/9.52 0 != $uminus(abs(3)) | (~spl8_13 | ~spl8_138)), 63.70/9.52 inference(forward_demodulation,[],[f13886,f295])). 63.70/9.52 tff(f13886,plain,( 63.70/9.52 abs(0) != $uminus(abs(3)) | ~spl8_138), 63.70/9.52 inference(constrained_resolution,[],[f13441,f2070])). 63.70/9.52 tff(f25879,plain,( 63.70/9.52 spl8_178 | ~spl8_179 | ~spl8_9 | ~spl8_53 | spl8_62), 63.70/9.52 inference(avatar_split_clause,[],[f23580,f2099,f1706,f229,f25876,f25873])). 63.70/9.52 tff(f25873,plain,( 63.70/9.52 spl8_178 <=> ! [X38 : $int] : (1 != $product(X38,sK0) | $less(X38,sF5))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_178])])). 63.70/9.52 tff(f25876,plain,( 63.70/9.52 spl8_179 <=> sK1 = sF6), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_179])])). 63.70/9.52 tff(f1706,plain,( 63.70/9.52 spl8_53 <=> $less(1,sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_53])])). 63.70/9.52 tff(f23580,plain,( 63.70/9.52 ( ! [X38 : $int] : (sK1 != sF6 | 1 != $product(X38,sK0) | $less(X38,sF5)) ) | (~spl8_9 | ~spl8_53 | spl8_62)), 63.70/9.52 inference(global_subsumption,[],[f2100,f23564])). 63.70/9.52 tff(f23564,plain,( 63.70/9.52 ( ! [X38 : $int] : (sK1 != sF6 | 1 != $product(X38,sK0) | $less(sK0,0) | $less(X38,sF5)) ) | (~spl8_9 | ~spl8_53)), 63.70/9.52 inference(superposition,[],[f16244,f231])). 63.70/9.52 tff(f16244,plain,( 63.70/9.52 ( ! [X11 : $int,X12 : $int,X13 : $int] : (sK1 != $product(X11,X12) | 1 != $product(X13,X12) | $less(X12,0) | $less(X13,X11)) ) | ~spl8_53), 63.70/9.52 inference(constrained_resolution,[],[f148,f1708])). 63.70/9.52 tff(f1708,plain,( 63.70/9.52 $less(1,sK1) | ~spl8_53), 63.70/9.52 inference(avatar_component_clause,[],[f1706])). 63.70/9.52 tff(f25867,plain,( 63.70/9.52 spl8_176 | ~spl8_177 | ~spl8_9 | ~spl8_17 | spl8_62), 63.70/9.52 inference(avatar_split_clause,[],[f2332,f2099,f310,f229,f25864,f25861])). 63.70/9.52 tff(f25861,plain,( 63.70/9.52 spl8_176 <=> ! [X17 : $int] : (sK1 != $product(X17,sK0) | $less(sF5,X17))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_176])])). 63.70/9.52 tff(f25864,plain,( 63.70/9.52 spl8_177 <=> sF3 = sF6), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_177])])). 63.70/9.52 tff(f310,plain,( 63.70/9.52 spl8_17 <=> $less(sF3,sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_17])])). 63.70/9.52 tff(f2332,plain,( 63.70/9.52 ( ! [X17 : $int] : (sF3 != sF6 | sK1 != $product(X17,sK0) | $less(sF5,X17)) ) | (~spl8_9 | ~spl8_17 | spl8_62)), 63.70/9.52 inference(global_subsumption,[],[f2100,f2328])). 63.70/9.52 tff(f2328,plain,( 63.70/9.52 ( ! [X17 : $int] : (sF3 != sF6 | sK1 != $product(X17,sK0) | $less(sK0,0) | $less(sF5,X17)) ) | (~spl8_9 | ~spl8_17)), 63.70/9.52 inference(superposition,[],[f470,f231])). 63.70/9.52 tff(f470,plain,( 63.70/9.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sF3 != $product(X2,X1) | $product(X0,X1) != sK1 | $less(X1,0) | $less(X2,X0)) ) | ~spl8_17), 63.70/9.52 inference(constrained_resolution,[],[f148,f311])). 63.70/9.52 tff(f311,plain,( 63.70/9.52 $less(sF3,sK1) | ~spl8_17), 63.70/9.52 inference(avatar_component_clause,[],[f310])). 63.70/9.52 tff(f25842,plain,( 63.70/9.52 ~spl8_175 | ~spl8_7 | spl8_14 | spl8_87), 63.70/9.52 inference(avatar_split_clause,[],[f25533,f5726,f298,f219,f25839])). 63.70/9.52 tff(f25839,plain,( 63.70/9.52 spl8_175 <=> sK0 = $product(sK0,sF4)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_175])])). 63.70/9.52 tff(f5726,plain,( 63.70/9.52 spl8_87 <=> sK0 = power(sK0,$sum(1,sF3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_87])])). 63.70/9.52 tff(f25533,plain,( 63.70/9.52 sK0 != $product(sK0,sF4) | (~spl8_7 | spl8_14 | spl8_87)), 63.70/9.52 inference(forward_demodulation,[],[f25532,f125])). 63.70/9.52 tff(f25532,plain,( 63.70/9.52 sK0 != $product(power(sK0,1),sF4) | (~spl8_7 | spl8_14 | spl8_87)), 63.70/9.52 inference(evaluation,[],[f25523])). 63.70/9.52 tff(f25523,plain,( 63.70/9.52 sK0 != $product(power(sK0,1),sF4) | $less(1,0) | (~spl8_7 | spl8_14 | spl8_87)), 63.70/9.52 inference(superposition,[],[f5727,f645])). 63.70/9.52 tff(f5727,plain,( 63.70/9.52 sK0 != power(sK0,$sum(1,sF3)) | spl8_87), 63.70/9.52 inference(avatar_component_clause,[],[f5726])). 63.70/9.52 tff(f25583,plain,( 63.70/9.52 ~spl8_174 | spl8_168), 63.70/9.52 inference(avatar_split_clause,[],[f25568,f25406,f25580])). 63.70/9.52 tff(f25580,plain,( 63.70/9.52 spl8_174 <=> 2 = abs(3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_174])])). 63.70/9.52 tff(f25406,plain,( 63.70/9.52 spl8_168 <=> 2 = abs(abs(3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_168])])). 63.70/9.52 tff(f25568,plain,( 63.70/9.52 2 != abs(3) | spl8_168), 63.70/9.52 inference(evaluation,[],[f25565])). 63.70/9.52 tff(f25565,plain,( 63.70/9.52 2 != abs(3) | $less(3,0) | spl8_168), 63.70/9.52 inference(superposition,[],[f25408,f126])). 63.70/9.52 tff(f25408,plain,( 63.70/9.52 2 != abs(abs(3)) | spl8_168), 63.70/9.52 inference(avatar_component_clause,[],[f25406])). 63.70/9.52 tff(f25578,plain,( 63.70/9.52 spl8_173 | ~spl8_7 | spl8_14), 63.70/9.52 inference(avatar_split_clause,[],[f24249,f298,f219,f25575])). 63.70/9.52 tff(f25575,plain,( 63.70/9.52 spl8_173 <=> 1 = power(sK0,$product(sF3,0))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_173])])). 63.70/9.52 tff(f24249,plain,( 63.70/9.52 1 = power(sK0,$product(sF3,0)) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(forward_demodulation,[],[f24179,f122])). 63.70/9.52 tff(f24179,plain,( 63.70/9.52 power(sK0,$product(sF3,0)) = power(sF4,0) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(interpreted_simplification,[],[f24178])). 63.70/9.52 tff(f24178,plain,( 63.70/9.52 power(sK0,$product(sF3,0)) = power(sF4,0) | $less(0,0) | (~spl8_7 | spl8_14)), 63.70/9.52 inference(instantiation,[],[f606])). 63.70/9.52 tff(f25573,plain,( 63.70/9.52 spl8_172 | ~spl8_5), 63.70/9.52 inference(avatar_split_clause,[],[f24169,f209,f25570])). 63.70/9.52 tff(f25570,plain,( 63.70/9.52 spl8_172 <=> 1 = power(sK0,$product(sK1,0))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_172])])). 63.70/9.52 tff(f24169,plain,( 63.70/9.52 1 = power(sK0,$product(sK1,0)) | ~spl8_5), 63.70/9.52 inference(forward_demodulation,[],[f24103,f122])). 63.70/9.52 tff(f24103,plain,( 63.70/9.52 power(sK0,$product(sK1,0)) = power(sF2,0) | ~spl8_5), 63.70/9.52 inference(interpreted_simplification,[],[f24102])). 63.70/9.52 tff(f24102,plain,( 63.70/9.52 power(sK0,$product(sK1,0)) = power(sF2,0) | $less(0,0) | ~spl8_5), 63.70/9.52 inference(instantiation,[],[f605])). 63.70/9.52 tff(f25539,plain,( 63.70/9.52 ~spl8_171 | ~spl8_59 | spl8_163), 63.70/9.52 inference(avatar_split_clause,[],[f24595,f23104,f2072,f25536])). 63.70/9.52 tff(f25536,plain,( 63.70/9.52 spl8_171 <=> sF4 = $product(2,sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_171])])). 63.70/9.52 tff(f24595,plain,( 63.70/9.52 sF4 != $product(2,sF3) | (~spl8_59 | spl8_163)), 63.70/9.52 inference(constrained_resolution,[],[f23105,f2074])). 63.70/9.52 tff(f25459,plain,( 63.70/9.52 spl8_170 | ~spl8_7 | spl8_14 | ~spl8_88), 63.70/9.52 inference(avatar_split_clause,[],[f23297,f5977,f298,f219,f25456])). 63.70/9.52 tff(f25456,plain,( 63.70/9.52 spl8_170 <=> sK0 = $product(sF4,sK0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_170])])). 63.70/9.52 tff(f5977,plain,( 63.70/9.52 spl8_88 <=> sK0 = power(sK0,$sum(sF3,1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_88])])). 63.70/9.52 tff(f23297,plain,( 63.70/9.52 sK0 = $product(sF4,sK0) | (~spl8_7 | spl8_14 | ~spl8_88)), 63.70/9.52 inference(global_subsumption,[],[f299,f23296])). 63.70/9.52 tff(f23296,plain,( 63.70/9.52 sK0 = $product(sF4,sK0) | $less(sF3,0) | (~spl8_7 | ~spl8_88)), 63.70/9.52 inference(forward_demodulation,[],[f8402,f221])). 63.70/9.52 tff(f8402,plain,( 63.70/9.52 sK0 = $product(power(sK0,sF3),sK0) | $less(sF3,0) | ~spl8_88), 63.70/9.52 inference(superposition,[],[f636,f5979])). 63.70/9.52 tff(f5979,plain,( 63.70/9.52 sK0 = power(sK0,$sum(sF3,1)) | ~spl8_88), 63.70/9.52 inference(avatar_component_clause,[],[f5977])). 63.70/9.52 tff(f25440,plain,( 63.70/9.52 ~spl8_169 | spl8_162), 63.70/9.52 inference(avatar_split_clause,[],[f22870,f22833,f25437])). 63.70/9.52 tff(f25437,plain,( 63.70/9.52 spl8_169 <=> 0 = $product(2,sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_169])])). 63.70/9.52 tff(f22833,plain,( 63.70/9.52 spl8_162 <=> $less($product(2,sF3),1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_162])])). 63.70/9.52 tff(f22870,plain,( 63.70/9.52 0 != $product(2,sF3) | spl8_162), 63.70/9.52 inference(forward_demodulation,[],[f22868,f123])). 63.70/9.52 tff(f123,plain,( 63.70/9.52 ( ! [X0 : $int] : (0 = mod(X0,1)) )), 63.70/9.52 inference(cnf_transformation,[],[f18])). 63.70/9.52 tff(f18,axiom,( 63.70/9.52 ! [X0 : $int] : 0 = mod(X0,1)), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_1)). 63.70/9.52 tff(f22868,plain,( 63.70/9.52 ( ! [X2 : $int] : (mod(X2,1) != $product(2,sF3)) ) | spl8_162), 63.70/9.52 inference(evaluation,[],[f22865])). 63.70/9.52 tff(f22865,plain,( 63.70/9.52 ( ! [X2 : $int] : (mod(X2,1) != $product(2,sF3) | 0 = 1 | $less(1,0)) ) | spl8_162), 63.70/9.52 inference(constrained_resolution,[],[f22835,f289])). 63.70/9.52 tff(f22835,plain,( 63.70/9.52 ~$less($product(2,sF3),1) | spl8_162), 63.70/9.52 inference(avatar_component_clause,[],[f22833])). 63.70/9.52 tff(f25409,plain,( 63.70/9.52 ~spl8_168 | ~spl8_147), 63.70/9.52 inference(avatar_split_clause,[],[f16638,f16485,f25406])). 63.70/9.52 tff(f16638,plain,( 63.70/9.52 2 != abs(abs(3)) | ~spl8_147), 63.70/9.52 inference(constrained_resolution,[],[f2070,f16487])). 63.70/9.52 tff(f25173,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25172])). 63.70/9.52 tff(f25172,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25130,plain,( 63.70/9.52 0 != abs(0) | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(backward_demodulation,[],[f24780,f25126])). 63.70/9.52 tff(f24780,plain,( 63.70/9.52 0 != abs(power(0,3)) | ~spl8_115), 63.70/9.52 inference(constrained_resolution,[],[f11173,f2070])). 63.70/9.52 tff(f11173,plain,( 63.70/9.52 $less(0,power(0,3)) | ~spl8_115), 63.70/9.52 inference(avatar_component_clause,[],[f11172])). 63.70/9.52 tff(f11172,plain,( 63.70/9.52 spl8_115 <=> $less(0,power(0,3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_115])])). 63.70/9.52 tff(f267,plain,( 63.70/9.52 0 = abs(0)), 63.70/9.52 inference(interpreted_simplification,[],[f266])). 63.70/9.52 tff(f266,plain,( 63.70/9.52 0 = abs(0) | $less(0,0)), 63.70/9.52 inference(instantiation,[],[f126])). 63.70/9.52 tff(f25171,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25170])). 63.70/9.52 tff(f25170,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25169,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25168])). 63.70/9.52 tff(f25168,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25167,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25166])). 63.70/9.52 tff(f25166,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25165,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25164])). 63.70/9.52 tff(f25164,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25163,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25162])). 63.70/9.52 tff(f25162,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25161,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25160])). 63.70/9.52 tff(f25160,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25159,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25158])). 63.70/9.52 tff(f25158,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25157,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25156])). 63.70/9.52 tff(f25156,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25154,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25153])). 63.70/9.52 tff(f25153,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25151,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25150])). 63.70/9.52 tff(f25150,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25149,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25148])). 63.70/9.52 tff(f25148,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25147,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25146])). 63.70/9.52 tff(f25146,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25145,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25144])). 63.70/9.52 tff(f25144,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25141,plain,( 63.70/9.52 ~spl8_13 | ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25140])). 63.70/9.52 tff(f25140,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25138,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25137])). 63.70/9.52 tff(f25137,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f267,f25130])). 63.70/9.52 tff(f25136,plain,( 63.70/9.52 ~spl8_115 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f25135])). 63.70/9.52 tff(f25135,plain,( 63.70/9.52 $false | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(evaluation,[],[f25128])). 63.70/9.52 tff(f25128,plain,( 63.70/9.52 $less(0,0) | (~spl8_115 | ~spl8_144)), 63.70/9.52 inference(backward_demodulation,[],[f11173,f25126])). 63.70/9.52 tff(f24959,plain,( 63.70/9.52 spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f24958])). 63.70/9.52 tff(f24958,plain,( 63.70/9.52 $false | spl8_144), 63.70/9.52 inference(evaluation,[],[f24956])). 63.70/9.52 tff(f24956,plain,( 63.70/9.52 0 != $product(0,0) | spl8_144), 63.70/9.52 inference(superposition,[],[f14379,f513])). 63.70/9.52 tff(f14379,plain,( 63.70/9.52 0 != power(0,2) | spl8_144), 63.70/9.52 inference(avatar_component_clause,[],[f14378])). 63.70/9.52 tff(f24814,plain,( 63.70/9.52 ~spl8_167 | ~spl8_165), 63.70/9.52 inference(avatar_split_clause,[],[f24807,f24791,f24811])). 63.70/9.52 tff(f24811,plain,( 63.70/9.52 spl8_167 <=> 0 = abs(sF5)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_167])])). 63.70/9.52 tff(f24807,plain,( 63.70/9.52 0 != abs(sF5) | ~spl8_165), 63.70/9.52 inference(constrained_resolution,[],[f24792,f2070])). 63.70/9.52 tff(f24797,plain,( 63.70/9.52 ~spl8_165 | spl8_166 | ~spl8_9 | spl8_62), 63.70/9.52 inference(avatar_split_clause,[],[f2107,f2099,f229,f24795,f24791])). 63.70/9.52 tff(f2107,plain,( 63.70/9.52 ( ! [X15 : $int] : (mod(X15,sF5) = mod($sum(sF6,X15),sF5) | ~$less(0,sF5) | $less(X15,0)) ) | (~spl8_9 | spl8_62)), 63.70/9.52 inference(subsumption_resolution,[],[f653,f2100])). 63.70/9.52 tff(f653,plain,( 63.70/9.52 ( ! [X15 : $int] : (mod(X15,sF5) = mod($sum(sF6,X15),sF5) | ~$less(0,sF5) | $less(sK0,0) | $less(X15,0)) ) | ~spl8_9), 63.70/9.52 inference(superposition,[],[f152,f231])). 63.70/9.52 tff(f152,plain,( 63.70/9.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : (mod($sum($product(X0,X1),X2),X0) = mod(X2,X0) | ~$less(0,X0) | $less(X1,0) | $less(X2,0)) )), 63.70/9.52 inference(cnf_transformation,[],[f100])). 63.70/9.52 tff(f100,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int,X2 : $int] : (mod($sum($product(X0,X1),X2),X0) = mod(X2,X0) | ~$less(0,X0) | $less(X1,0) | $less(X2,0))), 63.70/9.52 inference(flattening,[],[f99])). 63.70/9.52 tff(f99,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int,X2 : $int] : (mod($sum($product(X0,X1),X2),X0) = mod(X2,X0) | (~$less(0,X0) | $less(X1,0) | $less(X2,0)))), 63.70/9.52 inference(ennf_transformation,[],[f66])). 63.70/9.52 tff(f66,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & ~$less(X1,0) & ~$less(X2,0)) => mod($sum($product(X0,X1),X2),X0) = mod(X2,X0))), 63.70/9.52 inference(rectify,[],[f53])). 63.70/9.52 tff(f53,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int,X6 : $int] : (($less(0,X0) & ~$less(X1,0) & ~$less(X6,0)) => mod($sum($product(X0,X1),X6),X0) = mod(X6,X0))), 63.70/9.52 inference(theory_normalization,[],[f32])). 63.70/9.52 tff(f32,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int,X6 : $int] : (($less(0,X0) & $lesseq(0,X1) & $lesseq(0,X6)) => mod($sum($product(X0,X1),X6),X0) = mod(X6,X0))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_mult)). 63.70/9.52 tff(f24101,plain,( 63.70/9.52 ~spl8_164 | ~spl8_13 | ~spl8_59), 63.70/9.52 inference(avatar_split_clause,[],[f23591,f2072,f293,f24098])). 63.70/9.52 tff(f23591,plain,( 63.70/9.52 0 != sF4 | (~spl8_13 | ~spl8_59)), 63.70/9.52 inference(forward_demodulation,[],[f23589,f295])). 63.70/9.52 tff(f23589,plain,( 63.70/9.52 sF4 != abs(0) | ~spl8_59), 63.70/9.52 inference(constrained_resolution,[],[f2074,f2070])). 63.70/9.52 tff(f23432,plain,( 63.70/9.52 spl8_159 | ~spl8_10 | ~spl8_160), 63.70/9.52 inference(avatar_split_clause,[],[f23356,f22694,f234,f22581])). 63.70/9.52 tff(f234,plain,( 63.70/9.52 spl8_10 <=> mod(sK1,2) = sF7), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_10])])). 63.70/9.52 tff(f22694,plain,( 63.70/9.52 spl8_160 <=> 1 = mod(sK1,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_160])])). 63.70/9.52 tff(f23356,plain,( 63.70/9.52 1 = sF7 | (~spl8_10 | ~spl8_160)), 63.70/9.52 inference(backward_demodulation,[],[f236,f22696])). 63.70/9.52 tff(f22696,plain,( 63.70/9.52 1 = mod(sK1,2) | ~spl8_160), 63.70/9.52 inference(avatar_component_clause,[],[f22694])). 63.70/9.52 tff(f236,plain,( 63.70/9.52 mod(sK1,2) = sF7 | ~spl8_10), 63.70/9.52 inference(avatar_component_clause,[],[f234])). 63.70/9.52 tff(f23241,plain,( 63.70/9.52 spl8_4 | spl8_14 | spl8_21 | ~spl8_39 | ~spl8_42 | ~spl8_100 | ~spl8_101 | ~spl8_144 | spl8_163), 63.70/9.52 inference(avatar_contradiction_clause,[],[f23240])). 63.70/9.52 tff(f23240,plain,( 63.70/9.52 $false | (spl8_4 | spl8_14 | spl8_21 | ~spl8_39 | ~spl8_42 | ~spl8_100 | ~spl8_101 | ~spl8_144 | spl8_163)), 63.70/9.52 inference(global_subsumption,[],[f196,f23222])). 63.70/9.52 tff(f23222,plain,( 63.70/9.52 1 = sF2 | (spl8_14 | ~spl8_39 | ~spl8_100 | ~spl8_101 | ~spl8_144)), 63.70/9.52 inference(backward_demodulation,[],[f9463,f23150])). 63.70/9.52 tff(f23150,plain,( 63.70/9.52 1 = power(0,sK1) | (spl8_14 | ~spl8_39 | ~spl8_101 | ~spl8_144)), 63.70/9.52 inference(backward_demodulation,[],[f23060,f847])). 63.70/9.52 tff(f23060,plain,( 63.70/9.52 1 = power(0,$product(2,sF3)) | (spl8_14 | ~spl8_101 | ~spl8_144)), 63.70/9.52 inference(evaluation,[],[f23059])). 63.70/9.52 tff(f23059,plain,( 63.70/9.52 $less(2,0) | 1 = power(0,$product(2,sF3)) | (spl8_14 | ~spl8_101 | ~spl8_144)), 63.70/9.52 inference(trivial_inequality_removal,[],[f23058])). 63.70/9.52 tff(f23058,plain,( 63.70/9.52 0 != 0 | $less(2,0) | 1 = power(0,$product(2,sF3)) | (spl8_14 | ~spl8_101 | ~spl8_144)), 63.70/9.52 inference(superposition,[],[f16364,f14380])). 63.70/9.52 tff(f16364,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (0 != power(X0,X1) | $less(X1,0) | 1 = power(X0,$product(X1,sF3))) ) | (spl8_14 | ~spl8_101)), 63.70/9.52 inference(global_subsumption,[],[f299,f16345])). 63.70/9.52 tff(f16345,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (1 = power(X0,$product(X1,sF3)) | $less(sF3,0) | $less(X1,0) | 0 != power(X0,X1)) ) | ~spl8_101), 63.70/9.52 inference(constrained_superposition,[],[f150,f9468])). 63.70/9.52 tff(f9468,plain,( 63.70/9.52 1 = power(0,sF3) | ~spl8_101), 63.70/9.52 inference(avatar_component_clause,[],[f9466])). 63.70/9.52 tff(f9466,plain,( 63.70/9.52 spl8_101 <=> 1 = power(0,sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_101])])). 63.70/9.52 tff(f9463,plain,( 63.70/9.52 sF2 = power(0,sK1) | ~spl8_100), 63.70/9.52 inference(avatar_component_clause,[],[f9461])). 63.70/9.52 tff(f9461,plain,( 63.70/9.52 spl8_100 <=> sF2 = power(0,sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_100])])). 63.70/9.52 tff(f196,plain,( 63.70/9.52 1 != sF2 | spl8_4), 63.70/9.52 inference(avatar_component_clause,[],[f194])). 63.70/9.52 tff(f194,plain,( 63.70/9.52 spl8_4 <=> 1 = sF2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])). 63.70/9.52 tff(f23224,plain,( 63.70/9.52 spl8_4 | spl8_14 | ~spl8_39 | ~spl8_100 | ~spl8_101 | ~spl8_144), 63.70/9.52 inference(avatar_contradiction_clause,[],[f23223])). 63.70/9.52 tff(f23223,plain,( 63.70/9.52 $false | (spl8_4 | spl8_14 | ~spl8_39 | ~spl8_100 | ~spl8_101 | ~spl8_144)), 63.70/9.52 inference(global_subsumption,[],[f196,f23222])). 63.70/9.52 tff(f23107,plain,( 63.70/9.52 spl8_163 | ~spl8_5 | spl8_14 | ~spl8_42 | ~spl8_97 | ~spl8_101 | spl8_102 | ~spl8_144 | ~spl8_159), 63.70/9.52 inference(avatar_split_clause,[],[f23102,f22581,f14378,f9471,f9466,f8594,f905,f298,f209,f23104])). 63.70/9.52 tff(f8594,plain,( 63.70/9.52 spl8_97 <=> 0 = sK0), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_97])])). 63.70/9.52 tff(f9471,plain,( 63.70/9.52 spl8_102 <=> 0 = sF2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_102])])). 63.70/9.52 tff(f23102,plain,( 63.70/9.52 $less($product(2,sF3),0) | (~spl8_5 | spl8_14 | ~spl8_42 | ~spl8_97 | ~spl8_101 | spl8_102 | ~spl8_144 | ~spl8_159)), 63.70/9.52 inference(global_subsumption,[],[f9473,f23101])). 63.70/9.52 tff(f23101,plain,( 63.70/9.52 0 = sF2 | $less($product(2,sF3),0) | (~spl8_5 | spl8_14 | ~spl8_42 | ~spl8_97 | ~spl8_101 | ~spl8_144 | ~spl8_159)), 63.70/9.52 inference(evaluation,[],[f23100])). 63.70/9.52 tff(f23100,plain,( 63.70/9.52 sF2 = $product(0,1) | $less($product(2,sF3),0) | (~spl8_5 | spl8_14 | ~spl8_42 | ~spl8_97 | ~spl8_101 | ~spl8_144 | ~spl8_159)), 63.70/9.52 inference(backward_demodulation,[],[f22594,f23060])). 63.70/9.52 tff(f22594,plain,( 63.70/9.52 sF2 = $product(0,power(0,$product(2,sF3))) | $less($product(2,sF3),0) | (~spl8_5 | ~spl8_42 | ~spl8_97 | ~spl8_159)), 63.70/9.52 inference(subsumption_resolution,[],[f8704,f22583])). 63.70/9.52 tff(f8704,plain,( 63.70/9.52 sF2 = $product(0,power(0,$product(2,sF3))) | $less($product(2,sF3),0) | 1 != sF7 | (~spl8_5 | ~spl8_42 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f3221,f8595])). 63.70/9.52 tff(f8595,plain,( 63.70/9.52 0 = sK0 | ~spl8_97), 63.70/9.52 inference(avatar_component_clause,[],[f8594])). 63.70/9.52 tff(f3221,plain,( 63.70/9.52 $less($product(2,sF3),0) | sF2 = $product(sK0,power(sK0,$product(2,sF3))) | 1 != sF7 | (~spl8_5 | ~spl8_42)), 63.70/9.52 inference(trivial_inequality_removal,[],[f3219])). 63.70/9.52 tff(f3219,plain,( 63.70/9.52 sK1 != sK1 | $less($product(2,sF3),0) | sF2 = $product(sK0,power(sK0,$product(2,sF3))) | 1 != sF7 | (~spl8_5 | ~spl8_42)), 63.70/9.52 inference(constrained_superposition,[],[f505,f907])). 63.70/9.52 tff(f505,plain,( 63.70/9.52 ( ! [X7 : $int] : (sK1 != $sum(X7,1) | $less(X7,0) | sF2 = $product(sK0,power(sK0,X7))) ) | ~spl8_5), 63.70/9.52 inference(constrained_superposition,[],[f134,f211])). 63.70/9.52 tff(f9473,plain,( 63.70/9.52 0 != sF2 | spl8_102), 63.70/9.52 inference(avatar_component_clause,[],[f9471])). 63.70/9.52 tff(f22836,plain,( 63.70/9.52 ~spl8_162 | spl8_11 | spl8_14 | ~spl8_51 | ~spl8_161), 63.70/9.52 inference(avatar_split_clause,[],[f22811,f22742,f1621,f298,f258,f22833])). 63.70/9.52 tff(f258,plain,( 63.70/9.52 spl8_11 <=> 1 = sK1), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_11])])). 63.70/9.52 tff(f1621,plain,( 63.70/9.52 spl8_51 <=> 1 = mod(1,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_51])])). 63.70/9.52 tff(f22811,plain,( 63.70/9.52 ~$less($product(2,sF3),1) | (spl8_11 | spl8_14 | ~spl8_51 | ~spl8_161)), 63.70/9.52 inference(global_subsumption,[],[f107,f260,f299,f22810])). 63.70/9.52 tff(f22810,plain,( 63.70/9.52 $less(sK1,0) | 1 = sK1 | $less(sF3,0) | ~$less($product(2,sF3),1) | (~spl8_51 | ~spl8_161)), 63.70/9.52 inference(forward_demodulation,[],[f22809,f22744])). 63.70/9.52 tff(f22809,plain,( 63.70/9.52 1 = sK1 | $less(sF3,0) | ~$less($product(2,sF3),1) | $less($sum($product(2,sF3),1),0) | (~spl8_51 | ~spl8_161)), 63.70/9.52 inference(forward_demodulation,[],[f22805,f1623])). 63.70/9.52 tff(f1623,plain,( 63.70/9.52 1 = mod(1,2) | ~spl8_51), 63.70/9.52 inference(avatar_component_clause,[],[f1621])). 63.70/9.52 tff(f22805,plain,( 63.70/9.52 sK1 = mod(1,2) | $less(sF3,0) | ~$less($product(2,sF3),1) | $less($sum($product(2,sF3),1),0) | ~spl8_161), 63.70/9.52 inference(cancellation,[],[f22804])). 63.70/9.52 tff(f22804,plain,( 63.70/9.52 sK1 = mod(1,2) | $less(sF3,0) | ~$less($sum($product(2,sF3),1),2) | $less($sum($product(2,sF3),1),0) | ~spl8_161), 63.70/9.52 inference(evaluation,[],[f22751])). 63.70/9.52 tff(f22751,plain,( 63.70/9.52 sK1 = mod(1,2) | ~$less(0,2) | $less(sF3,0) | $less(1,0) | ~$less($sum($product(2,sF3),1),2) | $less($sum($product(2,sF3),1),0) | ~spl8_161), 63.70/9.52 inference(superposition,[],[f22744,f657])). 63.70/9.52 tff(f657,plain,( 63.70/9.52 ( ! [X10 : $int,X8 : $int,X9 : $int] : ($sum($product(X8,X9),X10) = mod(X10,X8) | ~$less(0,X8) | $less(X9,0) | $less(X10,0) | ~$less($sum($product(X8,X9),X10),X8) | $less($sum($product(X8,X9),X10),0)) )), 63.70/9.52 inference(superposition,[],[f152,f138])). 63.70/9.52 tff(f260,plain,( 63.70/9.52 1 != sK1 | spl8_11), 63.70/9.52 inference(avatar_component_clause,[],[f258])). 63.70/9.52 tff(f22745,plain,( 63.70/9.52 spl8_161 | ~spl8_42 | ~spl8_159), 63.70/9.52 inference(avatar_split_clause,[],[f22605,f22581,f905,f22742])). 63.70/9.52 tff(f22605,plain,( 63.70/9.52 sK1 = $sum($product(2,sF3),1) | (~spl8_42 | ~spl8_159)), 63.70/9.52 inference(backward_demodulation,[],[f907,f22583])). 63.70/9.52 tff(f22697,plain,( 63.70/9.52 spl8_160 | ~spl8_10 | ~spl8_159), 63.70/9.52 inference(avatar_split_clause,[],[f22596,f22581,f234,f22694])). 63.70/9.52 tff(f22596,plain,( 63.70/9.52 1 = mod(sK1,2) | (~spl8_10 | ~spl8_159)), 63.70/9.52 inference(backward_demodulation,[],[f236,f22583])). 63.70/9.52 tff(f22584,plain,( 63.70/9.52 ~spl8_158 | spl8_159 | ~spl8_10 | ~spl8_51), 63.70/9.52 inference(avatar_split_clause,[],[f17795,f1621,f234,f22581,f22577])). 63.70/9.52 tff(f22577,plain,( 63.70/9.52 spl8_158 <=> sK1 = 5), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_158])])). 63.70/9.52 tff(f17795,plain,( 63.70/9.52 1 = sF7 | sK1 != 5 | (~spl8_10 | ~spl8_51)), 63.70/9.52 inference(forward_demodulation,[],[f17794,f1623])). 63.70/9.52 tff(f17794,plain,( 63.70/9.52 sK1 != 5 | sF7 = mod(1,2) | ~spl8_10), 63.70/9.52 inference(evaluation,[],[f17783])). 63.70/9.52 tff(f17783,plain,( 63.70/9.52 sK1 != $sum($product(2,2),1) | sF7 = mod(1,2) | ~spl8_10), 63.70/9.52 inference(interpreted_simplification,[],[f17782])). 63.70/9.52 tff(f17782,plain,( 63.70/9.52 sK1 != $sum($product(2,2),1) | $less(2,0) | $less(1,0) | sF7 = mod(1,2) | ~spl8_10), 63.70/9.52 inference(instantiation,[],[f669])). 63.70/9.52 tff(f669,plain,( 63.70/9.52 ( ! [X2 : $int,X1 : $int] : (sK1 != $sum($product(2,X1),X2) | $less(X1,0) | $less(X2,0) | mod(X2,2) = sF7) ) | ~spl8_10), 63.70/9.52 inference(evaluation,[],[f655])). 63.70/9.52 tff(f655,plain,( 63.70/9.52 ( ! [X2 : $int,X1 : $int] : (mod(X2,2) = sF7 | ~$less(0,2) | $less(X1,0) | $less(X2,0) | sK1 != $sum($product(2,X1),X2)) ) | ~spl8_10), 63.70/9.52 inference(constrained_superposition,[],[f152,f236])). 63.70/9.52 tff(f20693,plain,( 63.70/9.52 ~spl8_157 | ~spl8_17), 63.70/9.52 inference(avatar_split_clause,[],[f20488,f310,f20690])). 63.70/9.52 tff(f20690,plain,( 63.70/9.52 spl8_157 <=> sF3 = abs(abs(sK1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_157])])). 63.70/9.52 tff(f20488,plain,( 63.70/9.52 sF3 != abs(abs(sK1)) | ~spl8_17), 63.70/9.52 inference(constrained_resolution,[],[f2118,f311])). 63.70/9.52 tff(f20642,plain,( 63.70/9.52 ~spl8_156 | ~spl8_53), 63.70/9.52 inference(avatar_split_clause,[],[f20487,f1706,f20639])). 63.70/9.52 tff(f20639,plain,( 63.70/9.52 spl8_156 <=> 1 = abs(abs(sK1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_156])])). 63.70/9.52 tff(f20487,plain,( 63.70/9.52 1 != abs(abs(sK1)) | ~spl8_53), 63.70/9.52 inference(constrained_resolution,[],[f2118,f1708])). 63.70/9.52 tff(f17836,plain,( 63.70/9.52 ~spl8_155 | ~spl8_6 | spl8_76 | ~spl8_126), 63.70/9.52 inference(avatar_split_clause,[],[f17814,f11767,f2621,f214,f17833])). 63.70/9.52 tff(f17833,plain,( 63.70/9.52 spl8_155 <=> sK1 = 4), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_155])])). 63.70/9.52 tff(f214,plain,( 63.70/9.52 spl8_6 <=> div(sK1,2) = sF3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])). 63.70/9.52 tff(f2621,plain,( 63.70/9.52 spl8_76 <=> 2 = sF3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_76])])). 63.70/9.52 tff(f11767,plain,( 63.70/9.52 spl8_126 <=> 1 = div(2,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_126])])). 63.70/9.52 tff(f17814,plain,( 63.70/9.52 sK1 != 4 | (~spl8_6 | spl8_76 | ~spl8_126)), 63.70/9.52 inference(global_subsumption,[],[f2623,f17813])). 63.70/9.52 tff(f17813,plain,( 63.70/9.52 2 = sF3 | sK1 != 4 | (~spl8_6 | ~spl8_126)), 63.70/9.52 inference(evaluation,[],[f17812])). 63.70/9.52 tff(f17812,plain,( 63.70/9.52 sF3 = $sum(1,1) | sK1 != 4 | (~spl8_6 | ~spl8_126)), 63.70/9.52 inference(forward_demodulation,[],[f17811,f11769])). 63.70/9.52 tff(f11769,plain,( 63.70/9.52 1 = div(2,2) | ~spl8_126), 63.70/9.52 inference(avatar_component_clause,[],[f11767])). 63.70/9.52 tff(f17811,plain,( 63.70/9.52 sK1 != 4 | sF3 = $sum(1,div(2,2)) | ~spl8_6), 63.70/9.52 inference(evaluation,[],[f17799])). 63.70/9.52 tff(f17799,plain,( 63.70/9.52 sK1 != $sum($product(2,1),2) | sF3 = $sum(1,div(2,2)) | ~spl8_6), 63.70/9.52 inference(interpreted_simplification,[],[f17798])). 63.70/9.52 tff(f17798,plain,( 63.70/9.52 sK1 != $sum($product(2,1),2) | $less(2,0) | $less(1,0) | sF3 = $sum(1,div(2,2)) | ~spl8_6), 63.70/9.52 inference(instantiation,[],[f700])). 63.70/9.52 tff(f700,plain,( 63.70/9.52 ( ! [X2 : $int,X1 : $int] : (sK1 != $sum($product(2,X1),X2) | $less(X2,0) | $less(X1,0) | sF3 = $sum(X1,div(X2,2))) ) | ~spl8_6), 63.70/9.52 inference(evaluation,[],[f683])). 63.70/9.52 tff(f683,plain,( 63.70/9.52 ( ! [X2 : $int,X1 : $int] : (sF3 = $sum(X1,div(X2,2)) | ~$less(0,2) | $less(X2,0) | $less(X1,0) | sK1 != $sum($product(2,X1),X2)) ) | ~spl8_6), 63.70/9.52 inference(constrained_superposition,[],[f153,f216])). 63.70/9.52 tff(f216,plain,( 63.70/9.52 div(sK1,2) = sF3 | ~spl8_6), 63.70/9.52 inference(avatar_component_clause,[],[f214])). 63.70/9.52 tff(f2623,plain,( 63.70/9.52 2 != sF3 | spl8_76), 63.70/9.52 inference(avatar_component_clause,[],[f2621])). 63.70/9.52 tff(f17672,plain,( 63.70/9.52 ~spl8_154), 63.70/9.52 inference(avatar_split_clause,[],[f17645,f17669])). 63.70/9.52 tff(f17669,plain,( 63.70/9.52 spl8_154 <=> 0 = abs(3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_154])])). 63.70/9.52 tff(f17645,plain,( 63.70/9.52 0 != abs(3)), 63.70/9.52 inference(evaluation,[],[f17634])). 63.70/9.52 tff(f17634,plain,( 63.70/9.52 $product(0,2) != abs(3)), 63.70/9.52 inference(interpreted_simplification,[],[f17633])). 63.70/9.52 tff(f17633,plain,( 63.70/9.52 $product(0,2) != abs(3) | $less(2,0) | $less(1,0) | ~$less($product(1,2),3)), 63.70/9.52 inference(instantiation,[],[f473])). 63.70/9.52 tff(f473,plain,( 63.70/9.52 ( ! [X10 : $int,X8 : $int,X9 : $int,X13 : $int] : (abs(X10) != $product(X8,X9) | $less(X9,0) | $less(X13,X8) | ~$less($product(X13,X9),X10)) )), 63.70/9.52 inference(constrained_resolution,[],[f148,f145])). 63.70/9.52 tff(f17489,plain,( 63.70/9.52 ~spl8_153 | ~spl8_7 | ~spl8_32 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f17484,f8594,f774,f219,f17486])). 63.70/9.52 tff(f17486,plain,( 63.70/9.52 spl8_153 <=> sF3 = 3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_153])])). 63.70/9.52 tff(f774,plain,( 63.70/9.52 spl8_32 <=> 1 = sF4), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_32])])). 63.70/9.52 tff(f17484,plain,( 63.70/9.52 sF3 != 3 | (~spl8_7 | ~spl8_32 | ~spl8_97)), 63.70/9.52 inference(evaluation,[],[f17483])). 63.70/9.52 tff(f17483,plain,( 63.70/9.52 1 = $product(0,$product(0,0)) | sF3 != 3 | (~spl8_7 | ~spl8_32 | ~spl8_97)), 63.70/9.52 inference(forward_demodulation,[],[f17482,f513])). 63.70/9.52 tff(f17482,plain,( 63.70/9.52 sF3 != 3 | 1 = $product(0,power(0,2)) | (~spl8_7 | ~spl8_32 | ~spl8_97)), 63.70/9.52 inference(evaluation,[],[f17478])). 63.70/9.52 tff(f17478,plain,( 63.70/9.52 sF3 != $sum(2,1) | 1 = $product(0,power(0,2)) | (~spl8_7 | ~spl8_32 | ~spl8_97)), 63.70/9.52 inference(interpreted_simplification,[],[f17477])). 63.70/9.52 tff(f17477,plain,( 63.70/9.52 sF3 != $sum(2,1) | 1 = $product(0,power(0,2)) | $less(2,0) | (~spl8_7 | ~spl8_32 | ~spl8_97)), 63.70/9.52 inference(instantiation,[],[f8631])). 63.70/9.52 tff(f8631,plain,( 63.70/9.52 ( ! [X6 : $int] : (sF3 != $sum(X6,1) | 1 = $product(0,power(0,X6)) | $less(X6,0)) ) | (~spl8_7 | ~spl8_32 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f2446,f8595])). 63.70/9.52 tff(f2446,plain,( 63.70/9.52 ( ! [X6 : $int] : (sF3 != $sum(X6,1) | $less(X6,0) | 1 = $product(sK0,power(sK0,X6))) ) | (~spl8_7 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f504,f776])). 63.70/9.52 tff(f776,plain,( 63.70/9.52 1 = sF4 | ~spl8_32), 63.70/9.52 inference(avatar_component_clause,[],[f774])). 63.70/9.52 tff(f504,plain,( 63.70/9.52 ( ! [X6 : $int] : (sF3 != $sum(X6,1) | $less(X6,0) | sF4 = $product(sK0,power(sK0,X6))) ) | ~spl8_7), 63.70/9.52 inference(constrained_superposition,[],[f134,f221])). 63.70/9.52 tff(f17370,plain,( 63.70/9.52 ~spl8_152 | spl8_21 | spl8_150), 63.70/9.52 inference(avatar_split_clause,[],[f17239,f17063,f378,f17367])). 63.70/9.52 tff(f17367,plain,( 63.70/9.52 spl8_152 <=> sF7 = -2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_152])])). 63.70/9.52 tff(f17063,plain,( 63.70/9.52 spl8_150 <=> -2 = abs(sF7)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_150])])). 63.70/9.52 tff(f17239,plain,( 63.70/9.52 sF7 != -2 | (spl8_21 | spl8_150)), 63.70/9.52 inference(global_subsumption,[],[f380,f17237])). 63.70/9.52 tff(f17237,plain,( 63.70/9.52 sF7 != -2 | $less(sF7,0) | spl8_150), 63.70/9.52 inference(superposition,[],[f17065,f126])). 63.70/9.52 tff(f17065,plain,( 63.70/9.52 -2 != abs(sF7) | spl8_150), 63.70/9.52 inference(avatar_component_clause,[],[f17063])). 63.70/9.52 tff(f17099,plain,( 63.70/9.52 ~spl8_151 | ~spl8_35), 63.70/9.52 inference(avatar_split_clause,[],[f16645,f792,f17096])). 63.70/9.52 tff(f17096,plain,( 63.70/9.52 spl8_151 <=> 0 = abs(sF7)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_151])])). 63.70/9.52 tff(f792,plain,( 63.70/9.52 spl8_35 <=> $less(0,sF7)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_35])])). 63.70/9.52 tff(f16645,plain,( 63.70/9.52 0 != abs(sF7) | ~spl8_35), 63.70/9.52 inference(constrained_resolution,[],[f2070,f793])). 63.70/9.52 tff(f793,plain,( 63.70/9.52 $less(0,sF7) | ~spl8_35), 63.70/9.52 inference(avatar_component_clause,[],[f792])). 63.70/9.52 tff(f17066,plain,( 63.70/9.52 ~spl8_150 | ~spl8_28), 63.70/9.52 inference(avatar_split_clause,[],[f16644,f754,f17063])). 63.70/9.52 tff(f754,plain,( 63.70/9.52 spl8_28 <=> $less(-2,sF7)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_28])])). 63.70/9.52 tff(f16644,plain,( 63.70/9.52 -2 != abs(sF7) | ~spl8_28), 63.70/9.52 inference(constrained_resolution,[],[f2070,f756])). 63.70/9.52 tff(f756,plain,( 63.70/9.52 $less(-2,sF7) | ~spl8_28), 63.70/9.52 inference(avatar_component_clause,[],[f754])). 63.70/9.52 tff(f16712,plain,( 63.70/9.52 ~spl8_149 | ~spl8_17), 63.70/9.52 inference(avatar_split_clause,[],[f16643,f310,f16709])). 63.70/9.52 tff(f16709,plain,( 63.70/9.52 spl8_149 <=> sF3 = abs(sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_149])])). 63.70/9.52 tff(f16643,plain,( 63.70/9.52 sF3 != abs(sK1) | ~spl8_17), 63.70/9.52 inference(constrained_resolution,[],[f2070,f311])). 63.70/9.52 tff(f16675,plain,( 63.70/9.52 ~spl8_148 | ~spl8_53), 63.70/9.52 inference(avatar_split_clause,[],[f16642,f1706,f16672])). 63.70/9.52 tff(f16672,plain,( 63.70/9.52 spl8_148 <=> 1 = abs(sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_148])])). 63.70/9.52 tff(f16642,plain,( 63.70/9.52 1 != abs(sK1) | ~spl8_53), 63.70/9.52 inference(constrained_resolution,[],[f2070,f1708])). 63.70/9.52 tff(f16488,plain,( 63.70/9.52 spl8_147), 63.70/9.52 inference(avatar_split_clause,[],[f16084,f16485])). 63.70/9.52 tff(f16084,plain,( 63.70/9.52 $less(2,abs(3))), 63.70/9.52 inference(interpreted_simplification,[],[f16083])). 63.70/9.52 tff(f16083,plain,( 63.70/9.52 $less(2,abs(3)) | ~$less(2,3)), 63.70/9.52 inference(instantiation,[],[f145])). 63.70/9.52 tff(f16482,plain,( 63.70/9.52 spl8_146), 63.70/9.52 inference(avatar_split_clause,[],[f16037,f16479])). 63.70/9.52 tff(f16037,plain,( 63.70/9.52 2 = abs(2)), 63.70/9.52 inference(interpreted_simplification,[],[f16036])). 63.70/9.52 tff(f16036,plain,( 63.70/9.52 2 = abs(2) | $less(2,0)), 63.70/9.52 inference(instantiation,[],[f126])). 63.70/9.52 tff(f15906,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_53 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15905])). 63.70/9.52 tff(f15905,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_53 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15904])). 63.70/9.52 tff(f15904,plain,( 63.70/9.52 $less(0,0) | (~spl8_13 | ~spl8_19 | ~spl8_53 | ~spl8_112)), 63.70/9.52 inference(forward_demodulation,[],[f15622,f15312])). 63.70/9.52 tff(f15312,plain,( 63.70/9.52 ( ! [X2 : $int] : (0 = X2) ) | (~spl8_13 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f13278,f15272])). 63.70/9.52 tff(f15272,plain,( 63.70/9.52 ( ! [X0 : $int] : ($less(X0,0)) ) | (~spl8_19 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15242])). 63.70/9.52 tff(f15242,plain,( 63.70/9.52 ( ! [X0 : $int] : (0 = -1 | $less(X0,0)) ) | (~spl8_19 | ~spl8_112)), 63.70/9.52 inference(resolution,[],[f14804,f137])). 63.70/9.52 tff(f137,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (~$less(mod(X0,X1),0) | 0 = X1 | $less(X0,0)) )), 63.70/9.52 inference(cnf_transformation,[],[f81])). 63.70/9.52 tff(f81,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (~$less(mod(X0,X1),0) | 0 = X1 | $less(X0,0))), 63.70/9.52 inference(flattening,[],[f80])). 63.70/9.52 tff(f80,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (~$less(mod(X0,X1),0) | (0 = X1 | $less(X0,0)))), 63.70/9.52 inference(ennf_transformation,[],[f43])). 63.70/9.52 tff(f43,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ((0 != X1 & ~$less(X0,0)) => ~$less(mod(X0,X1),0))), 63.70/9.52 inference(theory_normalization,[],[f8])). 63.70/9.52 tff(f8,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ((0 != X1 & $lesseq(0,X0)) => $lesseq(0,mod(X0,X1)))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_pos)). 63.70/9.52 tff(f14804,plain,( 63.70/9.52 ( ! [X0 : $int] : ($less(mod(X0,-1),0)) ) | (~spl8_19 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f1006,f10830])). 63.70/9.52 tff(f10830,plain,( 63.70/9.52 ( ! [X8 : $int] : (0 != mod(X8,-1)) ) | ~spl8_112), 63.70/9.52 inference(avatar_component_clause,[],[f10829])). 63.70/9.52 tff(f10829,plain,( 63.70/9.52 spl8_112 <=> ! [X8 : $int] : 0 != mod(X8,-1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_112])])). 63.70/9.52 tff(f1006,plain,( 63.70/9.52 ( ! [X0 : $int] : (0 = mod(X0,-1) | $less(mod(X0,-1),0)) ) | ~spl8_19), 63.70/9.52 inference(resolution,[],[f384,f711])). 63.70/9.52 tff(f711,plain,( 63.70/9.52 ( ! [X2 : $int] : ($less(mod(X2,-1),1)) ) | ~spl8_19), 63.70/9.52 inference(evaluation,[],[f708])). 63.70/9.52 tff(f708,plain,( 63.70/9.52 ( ! [X2 : $int] : ($less(mod(X2,-1),1) | 0 = -1) ) | ~spl8_19), 63.70/9.52 inference(superposition,[],[f132,f341])). 63.70/9.52 tff(f341,plain,( 63.70/9.52 1 = abs(-1) | ~spl8_19), 63.70/9.52 inference(avatar_component_clause,[],[f339])). 63.70/9.52 tff(f339,plain,( 63.70/9.52 spl8_19 <=> 1 = abs(-1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_19])])). 63.70/9.52 tff(f384,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(X0,1) | 0 = X0 | $less(X0,0)) )), 63.70/9.52 inference(superposition,[],[f138,f123])). 63.70/9.52 tff(f13278,plain,( 63.70/9.52 ( ! [X2 : $int] : (0 = X2 | ~$less(mod(2,X2),0)) ) | ~spl8_13), 63.70/9.52 inference(trivial_inequality_removal,[],[f13274])). 63.70/9.52 tff(f13274,plain,( 63.70/9.52 ( ! [X2 : $int] : (0 != 0 | 0 = X2 | ~$less(mod(2,X2),0)) ) | ~spl8_13), 63.70/9.52 inference(superposition,[],[f3193,f295])). 63.70/9.52 tff(f3193,plain,( 63.70/9.52 ( ! [X6 : $int,X4 : $int] : (0 != abs(X4) | 0 = X6 | ~$less(mod(2,X6),X4)) )), 63.70/9.52 inference(interpreted_simplification,[],[f3192])). 63.70/9.52 tff(f3192,plain,( 63.70/9.52 ( ! [X6 : $int,X4 : $int] : (0 != abs(X4) | 0 = X6 | $less(2,0) | ~$less(mod(2,X6),X4)) )), 63.70/9.52 inference(instantiation,[],[f371])). 63.70/9.52 tff(f371,plain,( 63.70/9.52 ( ! [X6 : $int,X7 : $int,X4 : $int] : (0 != abs(X4) | 0 = X6 | $less(X7,0) | ~$less(mod(X7,X6),X4)) )), 63.70/9.52 inference(constrained_resolution,[],[f137,f145])). 63.70/9.52 tff(f15622,plain,( 63.70/9.52 $less(0,sK1) | (~spl8_13 | ~spl8_19 | ~spl8_53 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f1708,f15312])). 63.70/9.52 tff(f15890,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_25 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15889])). 63.70/9.52 tff(f15889,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_25 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15888])). 63.70/9.52 tff(f15888,plain,( 63.70/9.52 $less(0,0) | (~spl8_13 | ~spl8_19 | ~spl8_25 | ~spl8_112)), 63.70/9.52 inference(forward_demodulation,[],[f15668,f15312])). 63.70/9.52 tff(f15668,plain,( 63.70/9.52 $less(0,sF7) | (~spl8_13 | ~spl8_19 | ~spl8_25 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15574])). 63.70/9.52 tff(f15574,plain,( 63.70/9.52 $less($uminus(0),sF7) | (~spl8_13 | ~spl8_19 | ~spl8_25 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f722,f15312])). 63.70/9.52 tff(f722,plain,( 63.70/9.52 $less($uminus(abs(2)),sF7) | ~spl8_25), 63.70/9.52 inference(avatar_component_clause,[],[f720])). 63.70/9.52 tff(f720,plain,( 63.70/9.52 spl8_25 <=> $less($uminus(abs(2)),sF7)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_25])])). 63.70/9.52 tff(f15867,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_52 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15866])). 63.70/9.52 tff(f15866,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_52 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15865])). 63.70/9.52 tff(f15865,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_52 | ~spl8_112)), 63.70/9.52 inference(forward_demodulation,[],[f15672,f15312])). 63.70/9.52 tff(f15672,plain,( 63.70/9.52 1 = mod(1,2) | (~spl8_13 | ~spl8_19 | ~spl8_52 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15547])). 63.70/9.52 tff(f15547,plain,( 63.70/9.52 1 = mod($sum(0,1),2) | (~spl8_13 | ~spl8_19 | ~spl8_52 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f13557,f15312])). 63.70/9.52 tff(f13557,plain,( 63.70/9.52 1 = mod($sum(power(2,3),1),2) | ~spl8_52), 63.70/9.52 inference(evaluation,[],[f13556])). 63.70/9.52 tff(f13556,plain,( 63.70/9.52 $less($product(2,2),0) | 1 = mod($sum(power(2,3),1),2) | ~spl8_52), 63.70/9.52 inference(forward_demodulation,[],[f13467,f513])). 63.70/9.52 tff(f13467,plain,( 63.70/9.52 1 = mod($sum(power(2,3),1),2) | $less(power(2,2),0) | ~spl8_52), 63.70/9.52 inference(superposition,[],[f7708,f3073])). 63.70/9.52 tff(f3073,plain,( 63.70/9.52 ( ! [X2 : $int] : ($product(X2,power(X2,2)) = power(X2,3)) )), 63.70/9.52 inference(evaluation,[],[f3001])). 63.70/9.52 tff(f3001,plain,( 63.70/9.52 ( ! [X2 : $int] : ($product(X2,power(X2,2)) = power(X2,$sum(1,2))) )), 63.70/9.52 inference(interpreted_simplification,[],[f3000])). 63.70/9.52 tff(f3000,plain,( 63.70/9.52 ( ! [X2 : $int] : ($product(X2,power(X2,2)) = power(X2,$sum(1,2)) | $less(2,0)) )), 63.70/9.52 inference(instantiation,[],[f638])). 63.70/9.52 tff(f7708,plain,( 63.70/9.52 ( ! [X16 : $int] : (1 = mod($sum($product(2,X16),1),2) | $less(X16,0)) ) | ~spl8_52), 63.70/9.52 inference(cancellation,[],[f7707])). 63.70/9.52 tff(f7707,plain,( 63.70/9.52 ( ! [X16 : $int] : ($sum($product(2,X16),1) = $sum($product(2,X16),mod($sum($product(2,X16),1),2)) | $less(X16,0)) ) | ~spl8_52), 63.70/9.52 inference(evaluation,[],[f7594])). 63.70/9.52 tff(f7594,plain,( 63.70/9.52 ( ! [X16 : $int] : ($sum($product(2,X16),1) = $sum($product(2,$sum(X16,0)),mod($sum($product(2,X16),1),2)) | 0 = 2 | ~$less(0,2) | $less(1,0) | $less(X16,0)) ) | ~spl8_52), 63.70/9.52 inference(superposition,[],[f687,f1628])). 63.70/9.52 tff(f1628,plain,( 63.70/9.52 0 = div(1,2) | ~spl8_52), 63.70/9.52 inference(avatar_component_clause,[],[f1626])). 63.70/9.52 tff(f1626,plain,( 63.70/9.52 spl8_52 <=> 0 = div(1,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_52])])). 63.70/9.52 tff(f687,plain,( 63.70/9.52 ( ! [X6 : $int,X7 : $int,X5 : $int] : ($sum($product(X5,X6),X7) = $sum($product(X5,$sum(X6,div(X7,X5))),mod($sum($product(X5,X6),X7),X5)) | 0 = X5 | ~$less(0,X5) | $less(X7,0) | $less(X6,0)) )), 63.70/9.52 inference(superposition,[],[f130,f153])). 63.70/9.52 tff(f15730,plain,( 63.70/9.52 ~spl8_13 | spl8_16 | ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15382])). 63.70/9.52 tff(f15382,plain,( 63.70/9.52 $false | (~spl8_13 | spl8_16 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f308,f15312])). 63.70/9.52 tff(f308,plain,( 63.70/9.52 0 != sF7 | spl8_16), 63.70/9.52 inference(avatar_component_clause,[],[f306])). 63.70/9.52 tff(f306,plain,( 63.70/9.52 spl8_16 <=> 0 = sF7), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_16])])). 63.70/9.52 tff(f15729,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | spl8_31 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15381])). 63.70/9.52 tff(f15381,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | spl8_31 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f772,f15312])). 63.70/9.52 tff(f772,plain,( 63.70/9.52 0 != sF3 | spl8_31), 63.70/9.52 inference(avatar_component_clause,[],[f770])). 63.70/9.52 tff(f770,plain,( 63.70/9.52 spl8_31 <=> 0 = sF3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_31])])). 63.70/9.52 tff(f15728,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | spl8_102 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15380])). 63.70/9.52 tff(f15380,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | spl8_102 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f9473,f15312])). 63.70/9.52 tff(f15727,plain,( 63.70/9.52 spl8_3 | ~spl8_13 | ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15379])). 63.70/9.52 tff(f15379,plain,( 63.70/9.52 $false | (spl8_3 | ~spl8_13 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f192,f15312])). 63.70/9.52 tff(f192,plain,( 63.70/9.52 0 != sK1 | spl8_3), 63.70/9.52 inference(avatar_component_clause,[],[f190])). 63.70/9.52 tff(f190,plain,( 63.70/9.52 spl8_3 <=> 0 = sK1), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])). 63.70/9.52 tff(f15726,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_138), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15376])). 63.70/9.52 tff(f15376,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_138)), 63.70/9.52 inference(subsumption_resolution,[],[f13891,f15312])). 63.70/9.52 tff(f15725,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | spl8_79 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15373])). 63.70/9.52 tff(f15373,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | spl8_79 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f3129,f15312])). 63.70/9.52 tff(f3129,plain,( 63.70/9.52 0 != mod(3,2) | spl8_79), 63.70/9.52 inference(avatar_component_clause,[],[f3127])). 63.70/9.52 tff(f3127,plain,( 63.70/9.52 spl8_79 <=> 0 = mod(3,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_79])])). 63.70/9.52 tff(f15724,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | spl8_36 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15372])). 63.70/9.52 tff(f15372,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | spl8_36 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f811,f15312])). 63.70/9.52 tff(f811,plain,( 63.70/9.52 0 != mod(sK1,2) | spl8_36), 63.70/9.52 inference(avatar_component_clause,[],[f810])). 63.70/9.52 tff(f810,plain,( 63.70/9.52 spl8_36 <=> 0 = mod(sK1,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_36])])). 63.70/9.52 tff(f15723,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15370])). 63.70/9.52 tff(f15370,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f10830,f15312])). 63.70/9.52 tff(f15722,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | spl8_81 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15363])). 63.70/9.52 tff(f15363,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | spl8_81 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f3296,f15312])). 63.70/9.52 tff(f3296,plain,( 63.70/9.52 0 != abs(sK1) | spl8_81), 63.70/9.52 inference(avatar_component_clause,[],[f3294])). 63.70/9.52 tff(f3294,plain,( 63.70/9.52 spl8_81 <=> 0 = abs(sK1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_81])])). 63.70/9.52 tff(f15721,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | spl8_84 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15362])). 63.70/9.52 tff(f15362,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | spl8_84 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f4515,f15312])). 63.70/9.52 tff(f4515,plain,( 63.70/9.52 0 != abs(2) | spl8_84), 63.70/9.52 inference(avatar_component_clause,[],[f4513])). 63.70/9.52 tff(f4513,plain,( 63.70/9.52 spl8_84 <=> 0 = abs(2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_84])])). 63.70/9.52 tff(f15720,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | spl8_83 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15361])). 63.70/9.52 tff(f15361,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | spl8_83 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f3495,f15312])). 63.70/9.52 tff(f3495,plain,( 63.70/9.52 0 != abs(1) | spl8_83), 63.70/9.52 inference(avatar_component_clause,[],[f3493])). 63.70/9.52 tff(f3493,plain,( 63.70/9.52 spl8_83 <=> 0 = abs(1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_83])])). 63.70/9.52 tff(f15719,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_95 | ~spl8_112 | ~spl8_117 | ~spl8_118), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15360])). 63.70/9.52 tff(f15360,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_95 | ~spl8_112 | ~spl8_117 | ~spl8_118)), 63.70/9.52 inference(subsumption_resolution,[],[f11712,f15312])). 63.70/9.52 tff(f11712,plain,( 63.70/9.52 0 != abs(abs(abs(2))) | (~spl8_95 | ~spl8_117 | ~spl8_118)), 63.70/9.52 inference(backward_demodulation,[],[f10443,f11697])). 63.70/9.52 tff(f11697,plain,( 63.70/9.52 0 = mod(0,2) | (~spl8_117 | ~spl8_118)), 63.70/9.52 inference(cancellation,[],[f11696])). 63.70/9.52 tff(f11696,plain,( 63.70/9.52 2 = $sum(2,mod(0,2)) | (~spl8_117 | ~spl8_118)), 63.70/9.52 inference(evaluation,[],[f11684])). 63.70/9.52 tff(f11684,plain,( 63.70/9.52 2 = $sum($product(2,1),mod(0,2)) | (~spl8_117 | ~spl8_118)), 63.70/9.52 inference(backward_demodulation,[],[f7721,f11683])). 63.70/9.52 tff(f11683,plain,( 63.70/9.52 1 = div(2,2) | (~spl8_117 | ~spl8_118)), 63.70/9.52 inference(evaluation,[],[f11682])). 63.70/9.52 tff(f11682,plain,( 63.70/9.52 $sum(1,0) = div(2,2) | (~spl8_117 | ~spl8_118)), 63.70/9.52 inference(backward_demodulation,[],[f11608,f11681])). 63.70/9.52 tff(f11681,plain,( 63.70/9.52 0 = div(0,2) | ~spl8_117), 63.70/9.52 inference(cancellation,[],[f11680])). 63.70/9.52 tff(f11680,plain,( 63.70/9.52 2 = $sum(2,div(0,2)) | ~spl8_117), 63.70/9.52 inference(backward_demodulation,[],[f11601,f11679])). 63.70/9.52 tff(f11679,plain,( 63.70/9.52 2 = div(4,2) | ~spl8_117), 63.70/9.52 inference(evaluation,[],[f11658])). 63.70/9.52 tff(f11658,plain,( 63.70/9.52 $sum(2,0) = div(4,2) | $less(0,0) | ~$less(0,2) | ~spl8_117), 63.70/9.52 inference(superposition,[],[f11601,f142])). 63.70/9.52 tff(f142,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | $less(X0,0) | ~$less(X0,X1)) )), 63.70/9.52 inference(cnf_transformation,[],[f89])). 63.70/9.52 tff(f89,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | $less(X0,0) | ~$less(X0,X1))), 63.70/9.52 inference(flattening,[],[f88])). 63.70/9.52 tff(f88,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (0 = div(X0,X1) | ($less(X0,0) | ~$less(X0,X1)))), 63.70/9.52 inference(ennf_transformation,[],[f47])). 63.70/9.52 tff(f47,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) => 0 = div(X0,X1))), 63.70/9.52 inference(theory_normalization,[],[f4])). 63.70/9.52 tff(f4,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (($lesseq(0,X0) & $less(X0,X1)) => 0 = div(X0,X1))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_inf)). 63.70/9.52 tff(f11601,plain,( 63.70/9.52 div(4,2) = $sum(2,div(0,2)) | ~spl8_117), 63.70/9.52 inference(avatar_component_clause,[],[f11599])). 63.70/9.52 tff(f11599,plain,( 63.70/9.52 spl8_117 <=> div(4,2) = $sum(2,div(0,2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_117])])). 63.70/9.52 tff(f11608,plain,( 63.70/9.52 $sum(1,div(0,2)) = div(2,2) | ~spl8_118), 63.70/9.52 inference(avatar_component_clause,[],[f11606])). 63.70/9.52 tff(f11606,plain,( 63.70/9.52 spl8_118 <=> $sum(1,div(0,2)) = div(2,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_118])])). 63.70/9.52 tff(f7721,plain,( 63.70/9.52 2 = $sum($product(2,div(2,2)),mod(0,2))), 63.70/9.52 inference(forward_demodulation,[],[f7720,f7574])). 63.70/9.52 tff(f7574,plain,( 63.70/9.52 $sum(1,div(0,2)) = div(2,2)), 63.70/9.52 inference(evaluation,[],[f7573])). 63.70/9.52 tff(f7573,plain,( 63.70/9.52 $less(1,0) | $sum(1,div(0,2)) = div(2,2)), 63.70/9.52 inference(forward_demodulation,[],[f7572,f122])). 63.70/9.52 tff(f7572,plain,( 63.70/9.52 $sum(1,div(0,2)) = div(2,2) | $less(power(2,0),0)), 63.70/9.52 inference(forward_demodulation,[],[f7571,f122])). 63.70/9.52 tff(f7571,plain,( 63.70/9.52 $sum(power(2,0),div(0,2)) = div(2,2) | $less(power(2,0),0)), 63.70/9.52 inference(forward_demodulation,[],[f7570,f125])). 63.70/9.52 tff(f7570,plain,( 63.70/9.52 $sum(power(2,0),div(0,2)) = div(power(2,1),2) | $less(power(2,0),0)), 63.70/9.52 inference(evaluation,[],[f7491])). 63.70/9.52 tff(f7491,plain,( 63.70/9.52 $sum(power(2,$sum(1,-1)),div(0,2)) = div($sum(power(2,1),0),2) | $less(power(2,$sum(1,-1)),0)), 63.70/9.52 inference(interpreted_simplification,[],[f7490])). 63.70/9.52 tff(f7490,plain,( 63.70/9.52 $sum(power(2,$sum(1,-1)),div(0,2)) = div($sum(power(2,1),0),2) | ~$less(0,2) | $less(0,0) | $less(power(2,$sum(1,-1)),0) | ~$less(0,1)), 63.70/9.52 inference(instantiation,[],[f677])). 63.70/9.52 tff(f677,plain,( 63.70/9.52 ( ! [X3 : $int,X4 : $int,X5 : $int] : ($sum(power(X3,$sum(X4,-1)),div(X5,X3)) = div($sum(power(X3,X4),X5),X3) | ~$less(0,X3) | $less(X5,0) | $less(power(X3,$sum(X4,-1)),0) | ~$less(0,X4)) )), 63.70/9.52 inference(superposition,[],[f153,f170])). 63.70/9.52 tff(f170,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (power(X0,X1) = $product(X0,power(X0,$sum(X1,-1))) | ~$less(0,X1)) )), 63.70/9.52 inference(evaluation,[],[f133])). 63.70/9.52 tff(f133,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (power(X0,X1) = $product(X0,power(X0,$sum(X1,$uminus(1)))) | ~$less(0,X1)) )), 63.70/9.52 inference(cnf_transformation,[],[f74])). 63.70/9.52 tff(f74,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (power(X0,X1) = $product(X0,power(X0,$sum(X1,$uminus(1)))) | ~$less(0,X1))), 63.70/9.52 inference(ennf_transformation,[],[f59])). 63.70/9.52 tff(f59,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ($less(0,X1) => power(X0,X1) = $product(X0,power(X0,$sum(X1,$uminus(1)))))), 63.70/9.52 inference(rectify,[],[f39])). 63.70/9.52 tff(f39,plain,( 63.70/9.52 ! [X0 : $int,X2 : $int] : ($less(0,X2) => power(X0,X2) = $product(X0,power(X0,$sum(X2,$uminus(1)))))), 63.70/9.52 inference(theory_normalization,[],[f34])). 63.70/9.52 tff(f34,axiom,( 63.70/9.52 ! [X0 : $int,X2 : $int] : ($less(0,X2) => power(X0,X2) = $product(X0,power(X0,$difference(X2,1))))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_s_alt)). 63.70/9.52 tff(f7720,plain,( 63.70/9.52 2 = $sum($product(2,$sum(1,div(0,2))),mod(0,2))), 63.70/9.52 inference(forward_demodulation,[],[f7719,f6045])). 63.70/9.52 tff(f6045,plain,( 63.70/9.52 mod(0,2) = mod(2,2)), 63.70/9.52 inference(evaluation,[],[f6044])). 63.70/9.52 tff(f6044,plain,( 63.70/9.52 $less(1,0) | mod(0,2) = mod(2,2)), 63.70/9.52 inference(forward_demodulation,[],[f6043,f122])). 63.70/9.52 tff(f6043,plain,( 63.70/9.52 mod(0,2) = mod(2,2) | $less(power(2,0),0)), 63.70/9.52 inference(forward_demodulation,[],[f6042,f125])). 63.70/9.52 tff(f6042,plain,( 63.70/9.52 mod(0,2) = mod(power(2,1),2) | $less(power(2,0),0)), 63.70/9.52 inference(evaluation,[],[f5982])). 63.70/9.52 tff(f5982,plain,( 63.70/9.52 mod(0,2) = mod($sum(power(2,$sum(0,1)),0),2) | $less(power(2,0),0)), 63.70/9.52 inference(interpreted_simplification,[],[f5981])). 63.70/9.52 tff(f5981,plain,( 63.70/9.52 mod(0,2) = mod($sum(power(2,$sum(0,1)),0),2) | ~$less(0,2) | $less(power(2,0),0) | $less(0,0) | $less(0,0)), 63.70/9.52 inference(instantiation,[],[f648])). 63.70/9.52 tff(f648,plain,( 63.70/9.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : (mod(X2,X0) = mod($sum(power(X0,$sum(X1,1)),X2),X0) | ~$less(0,X0) | $less(power(X0,X1),0) | $less(X2,0) | $less(X1,0)) )), 63.70/9.52 inference(superposition,[],[f152,f134])). 63.70/9.52 tff(f7719,plain,( 63.70/9.52 2 = $sum($product(2,$sum(1,div(0,2))),mod(2,2))), 63.70/9.52 inference(evaluation,[],[f7588])). 63.70/9.52 tff(f7588,plain,( 63.70/9.52 $sum($product(2,1),0) = $sum($product(2,$sum(1,div(0,2))),mod($sum($product(2,1),0),2))), 63.70/9.52 inference(interpreted_simplification,[],[f7587])). 63.70/9.52 tff(f7587,plain,( 63.70/9.52 $sum($product(2,1),0) = $sum($product(2,$sum(1,div(0,2))),mod($sum($product(2,1),0),2)) | 0 = 2 | ~$less(0,2) | $less(0,0) | $less(1,0)), 63.70/9.52 inference(instantiation,[],[f687])). 63.70/9.52 tff(f10443,plain,( 63.70/9.52 mod(0,2) != abs(abs(abs(2))) | ~spl8_95), 63.70/9.52 inference(constrained_resolution,[],[f8573,f2264])). 63.70/9.52 tff(f2264,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(abs(abs(abs(X0))),X0)) )), 63.70/9.52 inference(resolution,[],[f2118,f145])). 63.70/9.52 tff(f8573,plain,( 63.70/9.52 $less(mod(0,2),2) | ~spl8_95), 63.70/9.52 inference(avatar_component_clause,[],[f8571])). 63.70/9.52 tff(f8571,plain,( 63.70/9.52 spl8_95 <=> $less(mod(0,2),2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_95])])). 63.70/9.52 tff(f15718,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_108 | ~spl8_112 | ~spl8_117 | ~spl8_118), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15359])). 63.70/9.52 tff(f15359,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_108 | ~spl8_112 | ~spl8_117 | ~spl8_118)), 63.70/9.52 inference(subsumption_resolution,[],[f11717,f15312])). 63.70/9.52 tff(f11717,plain,( 63.70/9.52 0 != abs(abs(abs(abs(2)))) | (~spl8_108 | ~spl8_117 | ~spl8_118)), 63.70/9.52 inference(backward_demodulation,[],[f11009,f11697])). 63.70/9.52 tff(f11009,plain,( 63.70/9.52 mod(0,2) != abs(abs(abs(abs(2)))) | ~spl8_108), 63.70/9.52 inference(constrained_resolution,[],[f10806,f2264])). 63.70/9.52 tff(f10806,plain,( 63.70/9.52 $less(mod(0,2),abs(2)) | ~spl8_108), 63.70/9.52 inference(avatar_component_clause,[],[f10804])). 63.70/9.52 tff(f10804,plain,( 63.70/9.52 spl8_108 <=> $less(mod(0,2),abs(2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_108])])). 63.70/9.52 tff(f15717,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | spl8_133), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15358])). 63.70/9.52 tff(f15358,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | spl8_133)), 63.70/9.52 inference(subsumption_resolution,[],[f12524,f15312])). 63.70/9.52 tff(f12524,plain,( 63.70/9.52 0 != abs(abs(2)) | spl8_133), 63.70/9.52 inference(avatar_component_clause,[],[f12522])). 63.70/9.52 tff(f12522,plain,( 63.70/9.52 spl8_133 <=> 0 = abs(abs(2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_133])])). 63.70/9.52 tff(f15716,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15715])). 63.70/9.52 tff(f15715,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15388])). 63.70/9.52 tff(f15388,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f122,f15312])). 63.70/9.52 tff(f15688,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_101 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15687])). 63.70/9.52 tff(f15687,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_101 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15536])). 63.70/9.52 tff(f15536,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_101 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f9468,f15312])). 63.70/9.52 tff(f15685,plain,( 63.70/9.52 ~spl8_13 | spl8_14 | ~spl8_19 | ~spl8_77 | ~spl8_112 | spl8_140), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15684])). 63.70/9.52 tff(f15684,plain,( 63.70/9.52 $false | (~spl8_13 | spl8_14 | ~spl8_19 | ~spl8_77 | ~spl8_112 | spl8_140)), 63.70/9.52 inference(evaluation,[],[f15539])). 63.70/9.52 tff(f15539,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | spl8_14 | ~spl8_19 | ~spl8_77 | ~spl8_112 | spl8_140)), 63.70/9.52 inference(backward_demodulation,[],[f13629,f15312])). 63.70/9.52 tff(f13629,plain,( 63.70/9.52 1 = power(1,$sum(2,sF3)) | (spl8_14 | ~spl8_77 | spl8_140)), 63.70/9.52 inference(subsumption_resolution,[],[f3596,f13618])). 63.70/9.52 tff(f3596,plain,( 63.70/9.52 1 = power(1,$sum(2,sF3)) | $less($sum(sF3,1),0) | (spl8_14 | ~spl8_77)), 63.70/9.52 inference(global_subsumption,[],[f299,f3576])). 63.70/9.52 tff(f3576,plain,( 63.70/9.52 1 = power(1,$sum(2,sF3)) | $less($sum(sF3,1),0) | $less(sF3,0) | ~spl8_77), 63.70/9.52 inference(evaluation,[],[f3534])). 63.70/9.52 tff(f3534,plain,( 63.70/9.52 power(1,$sum(2,sF3)) = $product(1,$product(1,1)) | $less($sum(sF3,1),0) | $less(sF3,0) | ~spl8_77), 63.70/9.52 inference(superposition,[],[f512,f2688])). 63.70/9.52 tff(f2688,plain,( 63.70/9.52 1 = power(1,sF3) | ~spl8_77), 63.70/9.52 inference(avatar_component_clause,[],[f2686])). 63.70/9.52 tff(f2686,plain,( 63.70/9.52 spl8_77 <=> 1 = power(1,sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_77])])). 63.70/9.52 tff(f15683,plain,( 63.70/9.52 ~spl8_13 | spl8_14 | ~spl8_19 | ~spl8_77 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15682])). 63.70/9.52 tff(f15682,plain,( 63.70/9.52 $false | (~spl8_13 | spl8_14 | ~spl8_19 | ~spl8_77 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15540])). 63.70/9.52 tff(f15540,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | spl8_14 | ~spl8_19 | ~spl8_77 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f3438,f15312])). 63.70/9.52 tff(f3438,plain,( 63.70/9.52 1 = power(1,$sum(sF3,1)) | (spl8_14 | ~spl8_77)), 63.70/9.52 inference(global_subsumption,[],[f299,f3437])). 63.70/9.52 tff(f3437,plain,( 63.70/9.52 1 = power(1,$sum(sF3,1)) | $less(sF3,0) | ~spl8_77), 63.70/9.52 inference(forward_demodulation,[],[f3416,f2688])). 63.70/9.52 tff(f3416,plain,( 63.70/9.52 power(1,sF3) = power(1,$sum(sF3,1)) | $less(sF3,0) | ~spl8_77), 63.70/9.52 inference(evaluation,[],[f3360])). 63.70/9.52 tff(f3360,plain,( 63.70/9.52 power(1,$sum(sF3,1)) = power($product(1,1),sF3) | $less(sF3,0) | ~spl8_77), 63.70/9.52 inference(superposition,[],[f563,f2688])). 63.70/9.52 tff(f15680,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_77 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15679])). 63.70/9.52 tff(f15679,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_77 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15543])). 63.70/9.52 tff(f15543,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_77 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f2688,f15312])). 63.70/9.52 tff(f15678,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15677])). 63.70/9.52 tff(f15677,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142)), 63.70/9.52 inference(evaluation,[],[f15544])). 63.70/9.52 tff(f15544,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142)), 63.70/9.52 inference(backward_demodulation,[],[f13852,f15312])). 63.70/9.52 tff(f15676,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15675])). 63.70/9.52 tff(f15675,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142)), 63.70/9.52 inference(evaluation,[],[f15545])). 63.70/9.52 tff(f15545,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142)), 63.70/9.52 inference(backward_demodulation,[],[f14728,f15312])). 63.70/9.52 tff(f15674,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15673])). 63.70/9.52 tff(f15673,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142)), 63.70/9.52 inference(evaluation,[],[f15546])). 63.70/9.52 tff(f15546,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_142)), 63.70/9.52 inference(backward_demodulation,[],[f14722,f15312])). 63.70/9.52 tff(f15670,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_49 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15669])). 63.70/9.52 tff(f15669,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_49 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15572])). 63.70/9.52 tff(f15572,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_49 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f1597,f15312])). 63.70/9.52 tff(f15667,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_37 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15666])). 63.70/9.52 tff(f15666,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_37 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15575])). 63.70/9.52 tff(f15575,plain,( 63.70/9.52 $less(0,0) | (~spl8_13 | ~spl8_19 | ~spl8_37 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f832,f15312])). 63.70/9.52 tff(f832,plain,( 63.70/9.52 $less(0,abs(2)) | ~spl8_37), 63.70/9.52 inference(avatar_component_clause,[],[f830])). 63.70/9.52 tff(f830,plain,( 63.70/9.52 spl8_37 <=> $less(0,abs(2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_37])])). 63.70/9.52 tff(f15665,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_50 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15664])). 63.70/9.52 tff(f15664,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_50 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15576])). 63.70/9.52 tff(f15576,plain,( 63.70/9.52 $less(1,0) | (~spl8_13 | ~spl8_19 | ~spl8_50 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f1602,f15312])). 63.70/9.52 tff(f1602,plain,( 63.70/9.52 $less(1,abs(2)) | ~spl8_50), 63.70/9.52 inference(avatar_component_clause,[],[f1600])). 63.70/9.52 tff(f1600,plain,( 63.70/9.52 spl8_50 <=> $less(1,abs(2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_50])])). 63.70/9.52 tff(f15663,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15662])). 63.70/9.52 tff(f15662,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15586])). 63.70/9.52 tff(f15586,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f341,f15312])). 63.70/9.52 tff(f15660,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_126), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15659])). 63.70/9.52 tff(f15659,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_126)), 63.70/9.52 inference(evaluation,[],[f15593])). 63.70/9.52 tff(f15593,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_126)), 63.70/9.52 inference(backward_demodulation,[],[f11769,f15312])). 63.70/9.52 tff(f15658,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_129), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15657])). 63.70/9.52 tff(f15657,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_129)), 63.70/9.52 inference(evaluation,[],[f15596])). 63.70/9.52 tff(f15596,plain,( 63.70/9.52 0 = 2 | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_129)), 63.70/9.52 inference(backward_demodulation,[],[f12011,f15312])). 63.70/9.52 tff(f12011,plain,( 63.70/9.52 2 = div(4,2) | ~spl8_129), 63.70/9.52 inference(avatar_component_clause,[],[f12009])). 63.70/9.52 tff(f12009,plain,( 63.70/9.52 spl8_129 <=> 2 = div(4,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_129])])). 63.70/9.52 tff(f15656,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_143), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15655])). 63.70/9.52 tff(f15655,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_143)), 63.70/9.52 inference(evaluation,[],[f15597])). 63.70/9.52 tff(f15597,plain,( 63.70/9.52 $product(2,0) = 4 | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_143)), 63.70/9.52 inference(backward_demodulation,[],[f14904,f15312])). 63.70/9.52 tff(f14904,plain,( 63.70/9.52 4 = $product(2,div(5,2)) | ~spl8_143), 63.70/9.52 inference(cancellation,[],[f14903])). 63.70/9.52 tff(f14903,plain,( 63.70/9.52 5 = $sum($product(2,div(5,2)),1) | ~spl8_143), 63.70/9.52 inference(evaluation,[],[f14872])). 63.70/9.52 tff(f14872,plain,( 63.70/9.52 5 = $sum($product(2,div(5,2)),1) | 0 = 2 | ~spl8_143), 63.70/9.52 inference(superposition,[],[f130,f14202])). 63.70/9.52 tff(f14202,plain,( 63.70/9.52 1 = mod(5,2) | ~spl8_143), 63.70/9.52 inference(avatar_component_clause,[],[f14200])). 63.70/9.52 tff(f14200,plain,( 63.70/9.52 spl8_143 <=> 1 = mod(5,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_143])])). 63.70/9.52 tff(f15654,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_51 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15653])). 63.70/9.52 tff(f15653,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_51 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15599])). 63.70/9.52 tff(f15599,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_51 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f1623,f15312])). 63.70/9.52 tff(f15652,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_143), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15651])). 63.70/9.52 tff(f15651,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_143)), 63.70/9.52 inference(evaluation,[],[f15602])). 63.70/9.52 tff(f15602,plain,( 63.70/9.52 0 = 1 | (~spl8_13 | ~spl8_19 | ~spl8_112 | ~spl8_143)), 63.70/9.52 inference(backward_demodulation,[],[f14202,f15312])). 63.70/9.52 tff(f15649,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_34 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15648])). 63.70/9.52 tff(f15648,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_34 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15634])). 63.70/9.52 tff(f15634,plain,( 63.70/9.52 $less(0,0) | (~spl8_13 | ~spl8_19 | ~spl8_34 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f790,f15312])). 63.70/9.52 tff(f15647,plain,( 63.70/9.52 ~spl8_13 | ~spl8_19 | ~spl8_35 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15646])). 63.70/9.52 tff(f15646,plain,( 63.70/9.52 $false | (~spl8_13 | ~spl8_19 | ~spl8_35 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15644])). 63.70/9.52 tff(f15644,plain,( 63.70/9.52 $less(0,0) | (~spl8_13 | ~spl8_19 | ~spl8_35 | ~spl8_112)), 63.70/9.52 inference(backward_demodulation,[],[f793,f15312])). 63.70/9.52 tff(f15343,plain,( 63.70/9.52 ~spl8_8 | ~spl8_9 | ~spl8_19 | ~spl8_32 | spl8_62 | ~spl8_97 | spl8_111 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15341])). 63.70/9.52 tff(f15341,plain,( 63.70/9.52 $false | (~spl8_8 | ~spl8_9 | ~spl8_19 | ~spl8_32 | spl8_62 | ~spl8_97 | spl8_111 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f10825,f15315])). 63.70/9.52 tff(f15315,plain,( 63.70/9.52 ( ! [X1 : $int] : ($less(X1,1)) ) | (~spl8_8 | ~spl8_9 | ~spl8_19 | ~spl8_32 | spl8_62 | ~spl8_97 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f8658,f15272])). 63.70/9.52 tff(f8658,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less($product(X1,0),0) | $less(X1,1)) ) | (~spl8_8 | ~spl8_9 | ~spl8_32 | spl8_62 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f2536,f8595])). 63.70/9.52 tff(f2536,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less($product(X1,sK0),sK0) | $less(X1,1)) ) | (~spl8_8 | ~spl8_9 | ~spl8_32 | spl8_62)), 63.70/9.52 inference(forward_demodulation,[],[f2522,f2532])). 63.70/9.52 tff(f2532,plain,( 63.70/9.52 sK0 = sF6 | (~spl8_8 | ~spl8_9 | ~spl8_32)), 63.70/9.52 inference(evaluation,[],[f2517])). 63.70/9.52 tff(f2517,plain,( 63.70/9.52 sF6 = $product(1,sK0) | (~spl8_8 | ~spl8_9 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f231,f2515])). 63.70/9.52 tff(f2515,plain,( 63.70/9.52 1 = sF5 | (~spl8_8 | ~spl8_32)), 63.70/9.52 inference(evaluation,[],[f2445])). 63.70/9.52 tff(f2445,plain,( 63.70/9.52 sF5 = $product(1,1) | (~spl8_8 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f226,f776])). 63.70/9.52 tff(f2522,plain,( 63.70/9.52 ( ! [X1 : $int] : ($less(X1,1) | ~$less($product(X1,sK0),sF6)) ) | (~spl8_8 | ~spl8_9 | ~spl8_32 | spl8_62)), 63.70/9.52 inference(backward_demodulation,[],[f2106,f2515])). 63.70/9.52 tff(f10825,plain,( 63.70/9.52 ~$less(sK1,1) | spl8_111), 63.70/9.52 inference(avatar_component_clause,[],[f10823])). 63.70/9.52 tff(f10823,plain,( 63.70/9.52 spl8_111 <=> $less(sK1,1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_111])])). 63.70/9.52 tff(f15342,plain,( 63.70/9.52 ~spl8_8 | ~spl8_9 | ~spl8_19 | ~spl8_32 | spl8_62 | ~spl8_97 | spl8_110 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15340])). 63.70/9.52 tff(f15340,plain,( 63.70/9.52 $false | (~spl8_8 | ~spl8_9 | ~spl8_19 | ~spl8_32 | spl8_62 | ~spl8_97 | spl8_110 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f10815,f15315])). 63.70/9.52 tff(f10815,plain,( 63.70/9.52 ~$less(abs(sK1),1) | spl8_110), 63.70/9.52 inference(avatar_component_clause,[],[f10813])). 63.70/9.52 tff(f10813,plain,( 63.70/9.52 spl8_110 <=> $less(abs(sK1),1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_110])])). 63.70/9.52 tff(f15337,plain,( 63.70/9.52 ~spl8_19 | spl8_21 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15332])). 63.70/9.52 tff(f15332,plain,( 63.70/9.52 $false | (~spl8_19 | spl8_21 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f380,f15272])). 63.70/9.52 tff(f15336,plain,( 63.70/9.52 spl8_14 | ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15331])). 63.70/9.52 tff(f15331,plain,( 63.70/9.52 $false | (spl8_14 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f299,f15272])). 63.70/9.52 tff(f15335,plain,( 63.70/9.52 spl8_1 | ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15330])). 63.70/9.52 tff(f15330,plain,( 63.70/9.52 $false | (spl8_1 | ~spl8_19 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f180,f15272])). 63.70/9.52 tff(f180,plain,( 63.70/9.52 ~$less(sK1,0) | spl8_1), 63.70/9.52 inference(avatar_component_clause,[],[f178])). 63.70/9.52 tff(f178,plain,( 63.70/9.52 spl8_1 <=> $less(sK1,0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])). 63.70/9.52 tff(f15334,plain,( 63.70/9.52 ~spl8_19 | ~spl8_112 | spl8_140), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15329])). 63.70/9.52 tff(f15329,plain,( 63.70/9.52 $false | (~spl8_19 | ~spl8_112 | spl8_140)), 63.70/9.52 inference(subsumption_resolution,[],[f13618,f15272])). 63.70/9.52 tff(f15333,plain,( 63.70/9.52 ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15305])). 63.70/9.52 tff(f15305,plain,( 63.70/9.52 $false | (~spl8_19 | ~spl8_112)), 63.70/9.52 inference(subsumption_resolution,[],[f120,f15272])). 63.70/9.52 tff(f15271,plain,( 63.70/9.52 ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15270])). 63.70/9.52 tff(f15270,plain,( 63.70/9.52 $false | (~spl8_19 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15243])). 63.70/9.52 tff(f15243,plain,( 63.70/9.52 0 = -1 | (~spl8_19 | ~spl8_112)), 63.70/9.52 inference(resolution,[],[f14804,f368])). 63.70/9.52 tff(f368,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(mod(0,X1),0) | 0 = X1) )), 63.70/9.52 inference(interpreted_simplification,[],[f367])). 63.70/9.52 tff(f367,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(mod(0,X1),0) | 0 = X1 | $less(0,0)) )), 63.70/9.52 inference(instantiation,[],[f137])). 63.70/9.52 tff(f15269,plain,( 63.70/9.52 ~spl8_19 | ~spl8_112), 63.70/9.52 inference(avatar_contradiction_clause,[],[f15268])). 63.70/9.52 tff(f15268,plain,( 63.70/9.52 $false | (~spl8_19 | ~spl8_112)), 63.70/9.52 inference(evaluation,[],[f15244])). 63.70/9.52 tff(f15244,plain,( 63.70/9.52 0 = -1 | (~spl8_19 | ~spl8_112)), 63.70/9.52 inference(resolution,[],[f14804,f1283])). 63.70/9.52 tff(f1283,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(mod(1,X1),0) | 0 = X1) )), 63.70/9.52 inference(interpreted_simplification,[],[f1282])). 63.70/9.52 tff(f1282,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(mod(1,X1),0) | 0 = X1 | $less(1,0)) )), 63.70/9.52 inference(instantiation,[],[f137])). 63.70/9.52 tff(f14803,plain,( 63.70/9.52 ~spl8_145), 63.70/9.52 inference(avatar_split_clause,[],[f14746,f14800])). 63.70/9.52 tff(f14800,plain,( 63.70/9.52 spl8_145 <=> 1 = abs(3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_145])])). 63.70/9.52 tff(f14746,plain,( 63.70/9.52 1 != abs(3)), 63.70/9.52 inference(interpreted_simplification,[],[f14745])). 63.70/9.52 tff(f14745,plain,( 63.70/9.52 1 != abs(3) | 0 = 2 | $less(2,0) | ~$less(2,3)), 63.70/9.52 inference(instantiation,[],[f1932])). 63.70/9.52 tff(f1932,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (abs(X0) != 1 | 0 = X1 | $less(X1,0) | ~$less(X1,X0)) )), 63.70/9.52 inference(constrained_resolution,[],[f384,f145])). 63.70/9.52 tff(f14381,plain,( 63.70/9.52 spl8_144 | ~spl8_7 | spl8_14 | ~spl8_32 | ~spl8_97 | ~spl8_141), 63.70/9.52 inference(avatar_split_clause,[],[f13815,f13621,f8594,f774,f298,f219,f14378])). 63.70/9.52 tff(f13621,plain,( 63.70/9.52 spl8_141 <=> 0 = power(0,$sum(2,sF3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_141])])). 63.70/9.52 tff(f13815,plain,( 63.70/9.52 0 = power(0,2) | (~spl8_7 | spl8_14 | ~spl8_32 | ~spl8_97 | ~spl8_141)), 63.70/9.52 inference(evaluation,[],[f13745])). 63.70/9.52 tff(f13745,plain,( 63.70/9.52 0 = power(0,2) | $less(2,0) | (~spl8_7 | spl8_14 | ~spl8_32 | ~spl8_97 | ~spl8_141)), 63.70/9.52 inference(superposition,[],[f13623,f8652])). 63.70/9.52 tff(f8652,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(0,X8) = power(0,$sum(X8,sF3)) | $less(X8,0)) ) | (~spl8_7 | spl8_14 | ~spl8_32 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f2510,f8595])). 63.70/9.52 tff(f2510,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,X8) = power(sK0,$sum(X8,sF3)) | $less(X8,0)) ) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(evaluation,[],[f2452])). 63.70/9.52 tff(f2452,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$sum(X8,sF3)) = $product(power(sK0,X8),1) | $less(X8,0)) ) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f645,f776])). 63.70/9.52 tff(f13623,plain,( 63.70/9.52 0 = power(0,$sum(2,sF3)) | ~spl8_141), 63.70/9.52 inference(avatar_component_clause,[],[f13621])). 63.70/9.52 tff(f14203,plain,( 63.70/9.52 spl8_143 | ~spl8_52), 63.70/9.52 inference(avatar_split_clause,[],[f13555,f1626,f14200])). 63.70/9.52 tff(f13555,plain,( 63.70/9.52 1 = mod(5,2) | ~spl8_52), 63.70/9.52 inference(evaluation,[],[f13465])). 63.70/9.52 tff(f13465,plain,( 63.70/9.52 1 = mod($sum($product(2,2),1),2) | ~spl8_52), 63.70/9.52 inference(interpreted_simplification,[],[f13464])). 63.70/9.52 tff(f13464,plain,( 63.70/9.52 1 = mod($sum($product(2,2),1),2) | $less(2,0) | ~spl8_52), 63.70/9.52 inference(instantiation,[],[f7708])). 63.70/9.52 tff(f13853,plain,( 63.70/9.52 spl8_142), 63.70/9.52 inference(avatar_split_clause,[],[f13426,f13850])). 63.70/9.52 tff(f13426,plain,( 63.70/9.52 1 = power(1,3)), 63.70/9.52 inference(evaluation,[],[f13425])). 63.70/9.52 tff(f13425,plain,( 63.70/9.52 $product(1,1) = power(1,3)), 63.70/9.52 inference(forward_demodulation,[],[f13424,f513])). 63.70/9.52 tff(f13424,plain,( 63.70/9.52 power(1,2) = power(1,3)), 63.70/9.52 inference(evaluation,[],[f13318])). 63.70/9.52 tff(f13318,plain,( 63.70/9.52 power(1,2) = power(1,$sum(2,1))), 63.70/9.52 inference(interpreted_simplification,[],[f13317])). 63.70/9.52 tff(f13317,plain,( 63.70/9.52 power(1,2) = power(1,$sum(2,1)) | $less(2,0)), 63.70/9.52 inference(instantiation,[],[f3961])). 63.70/9.52 tff(f13624,plain,( 63.70/9.52 spl8_140 | spl8_141 | spl8_14 | ~spl8_73 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f9185,f8594,f2581,f298,f13621,f13617])). 63.70/9.52 tff(f2581,plain,( 63.70/9.52 spl8_73 <=> 1 = power(sK0,sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_73])])). 63.70/9.52 tff(f9185,plain,( 63.70/9.52 0 = power(0,$sum(2,sF3)) | $less($sum(sF3,1),0) | (spl8_14 | ~spl8_73 | ~spl8_97)), 63.70/9.52 inference(evaluation,[],[f8728])). 63.70/9.52 tff(f8728,plain,( 63.70/9.52 $product(0,0) = power(0,$sum(2,sF3)) | $less($sum(sF3,1),0) | (spl8_14 | ~spl8_73 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f3599,f8595])). 63.70/9.52 tff(f3599,plain,( 63.70/9.52 $product(sK0,sK0) = power(sK0,$sum(2,sF3)) | $less($sum(sF3,1),0) | (spl8_14 | ~spl8_73)), 63.70/9.52 inference(global_subsumption,[],[f299,f3575])). 63.70/9.52 tff(f3575,plain,( 63.70/9.52 $product(sK0,sK0) = power(sK0,$sum(2,sF3)) | $less($sum(sF3,1),0) | $less(sF3,0) | ~spl8_73), 63.70/9.52 inference(evaluation,[],[f3542])). 63.70/9.52 tff(f3542,plain,( 63.70/9.52 power(sK0,$sum(2,sF3)) = $product(sK0,$product(sK0,1)) | $less($sum(sF3,1),0) | $less(sF3,0) | ~spl8_73), 63.70/9.52 inference(superposition,[],[f512,f2583])). 63.70/9.52 tff(f2583,plain,( 63.70/9.52 1 = power(sK0,sF3) | ~spl8_73), 63.70/9.52 inference(avatar_component_clause,[],[f2581])). 63.70/9.52 tff(f13565,plain,( 63.70/9.52 ~spl8_139 | ~spl8_49), 63.70/9.52 inference(avatar_split_clause,[],[f13137,f1595,f13562])). 63.70/9.52 tff(f13562,plain,( 63.70/9.52 spl8_139 <=> -1 = div(2,3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_139])])). 63.70/9.52 tff(f13137,plain,( 63.70/9.52 -1 != div(2,3) | ~spl8_49), 63.70/9.52 inference(interpreted_simplification,[],[f13136])). 63.70/9.52 tff(f13136,plain,( 63.70/9.52 -1 != div(2,3) | ~$less(0,3) | $less(2,0) | ~spl8_49), 63.70/9.52 inference(instantiation,[],[f3515])). 63.70/9.52 tff(f3515,plain,( 63.70/9.52 ( ! [X8 : $int,X7 : $int] : (-1 != div(X7,X8) | ~$less(0,X8) | $less(X7,0)) ) | ~spl8_49), 63.70/9.52 inference(trivial_inequality_removal,[],[f3514])). 63.70/9.52 tff(f3514,plain,( 63.70/9.52 ( ! [X8 : $int,X7 : $int] : (0 != 0 | -1 != div(X7,X8) | ~$less(0,X8) | $less(X7,0)) ) | ~spl8_49), 63.70/9.52 inference(forward_demodulation,[],[f3512,f123])). 63.70/9.52 tff(f3512,plain,( 63.70/9.52 ( ! [X8 : $int,X9 : $int,X7 : $int] : (-1 != div(X7,X8) | 0 != mod(X9,1) | ~$less(0,X8) | $less(X7,0)) ) | ~spl8_49), 63.70/9.52 inference(evaluation,[],[f3501])). 63.70/9.52 tff(f3501,plain,( 63.70/9.52 ( ! [X8 : $int,X9 : $int,X7 : $int] : ($uminus(1) != div(X7,X8) | 0 != mod(X9,1) | ~$less(0,X8) | $less(X7,0) | 0 = 1) ) | ~spl8_49), 63.70/9.52 inference(superposition,[],[f396,f1597])). 63.70/9.52 tff(f396,plain,( 63.70/9.52 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($uminus(abs(X1)) != div(X2,X3) | 0 != mod(X0,X1) | ~$less(0,X3) | $less(X2,0) | 0 = X1) )), 63.70/9.52 inference(constrained_resolution,[],[f139,f131])). 63.70/9.52 tff(f139,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (~$less(div(X0,X1),0) | ~$less(0,X1) | $less(X0,0)) )), 63.70/9.52 inference(cnf_transformation,[],[f85])). 63.70/9.52 tff(f85,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (~$less(div(X0,X1),0) | ~$less(0,X1) | $less(X0,0))), 63.70/9.52 inference(flattening,[],[f84])). 63.70/9.52 tff(f84,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (~$less(div(X0,X1),0) | (~$less(0,X1) | $less(X0,0)))), 63.70/9.52 inference(ennf_transformation,[],[f45])). 63.70/9.52 tff(f45,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(X0,0)) => ~$less(div(X0,X1),0))), 63.70/9.52 inference(theory_normalization,[],[f28])). 63.70/9.52 tff(f28,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (($less(0,X1) & $lesseq(0,X0)) => $lesseq(0,div(X0,X1)))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_sign_pos)). 63.70/9.52 tff(f13442,plain,( 63.70/9.52 spl8_138), 63.70/9.52 inference(avatar_split_clause,[],[f12599,f13439])). 63.70/9.52 tff(f12599,plain,( 63.70/9.52 $less($uminus(abs(3)),0)), 63.70/9.52 inference(interpreted_simplification,[],[f12598])). 63.70/9.52 tff(f12598,plain,( 63.70/9.52 $less($uminus(abs(3)),0) | ~$less(1,3) | 0 = 3), 63.70/9.52 inference(instantiation,[],[f2799])). 63.70/9.52 tff(f2799,plain,( 63.70/9.52 ( ! [X34 : $int] : ($less($uminus(abs(X34)),0) | ~$less(1,X34) | 0 = X34) )), 63.70/9.52 inference(global_subsumption,[],[f982,f2797])). 63.70/9.52 tff(f2797,plain,( 63.70/9.52 ( ! [X34 : $int] : (0 = X34 | ~$less(1,X34) | 0 = $uminus(abs(X34)) | $less($uminus(abs(X34)),0)) )), 63.70/9.52 inference(evaluation,[],[f2784])). 63.70/9.52 tff(f2784,plain,( 63.70/9.52 ( ! [X34 : $int] : (0 = X34 | ~$less(1,X34) | $less(1,0) | 0 = $uminus(abs(X34)) | $less($uminus(abs(X34)),0)) )), 63.70/9.52 inference(resolution,[],[f389,f384])). 63.70/9.52 tff(f982,plain,( 63.70/9.52 ( ! [X0 : $int] : (0 != $uminus(abs(X0)) | 0 = X0) )), 63.70/9.52 inference(duplicate_literal_removal,[],[f976])). 63.70/9.52 tff(f976,plain,( 63.70/9.52 ( ! [X0 : $int] : (0 != $uminus(abs(X0)) | 0 = X0 | 0 = X0) )), 63.70/9.52 inference(constrained_resolution,[],[f345,f131])). 63.70/9.52 tff(f345,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(0,mod(0,X1)) | 0 = X1) )), 63.70/9.52 inference(interpreted_simplification,[],[f344])). 63.70/9.52 tff(f344,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(0,mod(0,X1)) | 0 = X1 | $less(0,0)) )), 63.70/9.52 inference(instantiation,[],[f135])). 63.70/9.52 tff(f135,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (~$less(0,mod(X0,X1)) | 0 = X1 | $less(0,X0)) )), 63.70/9.52 inference(cnf_transformation,[],[f77])). 63.70/9.52 tff(f77,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (~$less(0,mod(X0,X1)) | 0 = X1 | $less(0,X0))), 63.70/9.52 inference(flattening,[],[f76])). 63.70/9.52 tff(f76,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (~$less(0,mod(X0,X1)) | (0 = X1 | $less(0,X0)))), 63.70/9.52 inference(ennf_transformation,[],[f41])). 63.70/9.52 tff(f41,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ((0 != X1 & ~$less(0,X0)) => ~$less(0,mod(X0,X1)))), 63.70/9.52 inference(theory_normalization,[],[f16])). 63.70/9.52 tff(f16,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ((0 != X1 & $lesseq(X0,0)) => $lesseq(mod(X0,X1),0))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mod_sign_neg)). 63.70/9.52 tff(f13272,plain,( 63.70/9.52 ~spl8_137 | spl8_1 | ~spl8_127), 63.70/9.52 inference(avatar_split_clause,[],[f13218,f11772,f178,f13269])). 63.70/9.52 tff(f13269,plain,( 63.70/9.52 spl8_137 <=> sK1 = -2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_137])])). 63.70/9.52 tff(f11772,plain,( 63.70/9.52 spl8_127 <=> 0 = mod(0,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_127])])). 63.70/9.52 tff(f13218,plain,( 63.70/9.52 sK1 != -2 | (spl8_1 | ~spl8_127)), 63.70/9.52 inference(evaluation,[],[f13217])). 63.70/9.52 tff(f13217,plain,( 63.70/9.52 sK1 != $uminus(2) | 0 = 2 | $less(2,0) | (spl8_1 | ~spl8_127)), 63.70/9.52 inference(trivial_inequality_removal,[],[f13199])). 63.70/9.52 tff(f13199,plain,( 63.70/9.52 0 != 0 | sK1 != $uminus(2) | 0 = 2 | $less(2,0) | (spl8_1 | ~spl8_127)), 63.70/9.52 inference(superposition,[],[f1018,f11774])). 63.70/9.52 tff(f11774,plain,( 63.70/9.52 0 = mod(0,2) | ~spl8_127), 63.70/9.52 inference(avatar_component_clause,[],[f11772])). 63.70/9.52 tff(f1018,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (0 != mod(X1,X0) | $uminus(X0) != sK1 | 0 = X0 | $less(X0,0)) ) | spl8_1), 63.70/9.52 inference(superposition,[],[f329,f126])). 63.70/9.52 tff(f329,plain,( 63.70/9.52 ( ! [X6 : $int,X5 : $int] : (sK1 != $uminus(abs(X6)) | 0 != mod(X5,X6) | 0 = X6) ) | spl8_1), 63.70/9.52 inference(constrained_resolution,[],[f131,f180])). 63.70/9.52 tff(f13193,plain,( 63.70/9.52 ~spl8_136 | spl8_14 | ~spl8_127), 63.70/9.52 inference(avatar_split_clause,[],[f13184,f11772,f298,f13190])). 63.70/9.52 tff(f13190,plain,( 63.70/9.52 spl8_136 <=> sF3 = -2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_136])])). 63.70/9.52 tff(f13184,plain,( 63.70/9.52 sF3 != -2 | (spl8_14 | ~spl8_127)), 63.70/9.52 inference(evaluation,[],[f13183])). 63.70/9.52 tff(f13183,plain,( 63.70/9.52 sF3 != $uminus(2) | 0 = 2 | $less(2,0) | (spl8_14 | ~spl8_127)), 63.70/9.52 inference(trivial_inequality_removal,[],[f13165])). 63.70/9.52 tff(f13165,plain,( 63.70/9.52 0 != 0 | sF3 != $uminus(2) | 0 = 2 | $less(2,0) | (spl8_14 | ~spl8_127)), 63.70/9.52 inference(superposition,[],[f1012,f11774])). 63.70/9.52 tff(f1012,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (0 != mod(X1,X0) | $uminus(X0) != sF3 | 0 = X0 | $less(X0,0)) ) | spl8_14), 63.70/9.52 inference(superposition,[],[f327,f126])). 63.70/9.52 tff(f327,plain,( 63.70/9.52 ( ! [X6 : $int,X5 : $int] : (sF3 != $uminus(abs(X6)) | 0 != mod(X5,X6) | 0 = X6) ) | spl8_14), 63.70/9.52 inference(constrained_resolution,[],[f131,f299])). 63.70/9.52 tff(f12991,plain,( 63.70/9.52 ~spl8_135 | spl8_134), 63.70/9.52 inference(avatar_split_clause,[],[f12627,f12594,f12988])). 63.70/9.52 tff(f12988,plain,( 63.70/9.52 spl8_135 <=> sK1 = -3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_135])])). 63.70/9.52 tff(f12594,plain,( 63.70/9.52 spl8_134 <=> sK1 = $uminus(abs(3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_134])])). 63.70/9.52 tff(f12627,plain,( 63.70/9.52 sK1 != -3 | spl8_134), 63.70/9.52 inference(evaluation,[],[f12624])). 63.70/9.52 tff(f12624,plain,( 63.70/9.52 sK1 != $uminus(3) | $less(3,0) | spl8_134), 63.70/9.52 inference(superposition,[],[f12596,f126])). 63.70/9.52 tff(f12596,plain,( 63.70/9.52 sK1 != $uminus(abs(3)) | spl8_134), 63.70/9.52 inference(avatar_component_clause,[],[f12594])). 63.70/9.52 tff(f12597,plain,( 63.70/9.52 ~spl8_134 | spl8_33), 63.70/9.52 inference(avatar_split_clause,[],[f12586,f782,f12594])). 63.70/9.52 tff(f782,plain,( 63.70/9.52 spl8_33 <=> $less(sK1,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_33])])). 63.70/9.52 tff(f12586,plain,( 63.70/9.52 sK1 != $uminus(abs(3)) | spl8_33), 63.70/9.52 inference(interpreted_simplification,[],[f12585])). 63.70/9.52 tff(f12585,plain,( 63.70/9.52 sK1 != $uminus(abs(3)) | 0 = 3 | ~$less(2,3) | spl8_33), 63.70/9.52 inference(instantiation,[],[f2796])). 63.70/9.52 tff(f2796,plain,( 63.70/9.52 ( ! [X35 : $int] : (sK1 != $uminus(abs(X35)) | 0 = X35 | ~$less(2,X35)) ) | spl8_33), 63.70/9.52 inference(evaluation,[],[f2785])). 63.70/9.52 tff(f2785,plain,( 63.70/9.52 ( ! [X35 : $int] : (sK1 != $uminus(abs(X35)) | 0 = X35 | ~$less(2,X35) | $less(2,0)) ) | spl8_33), 63.70/9.52 inference(constrained_resolution,[],[f389,f784])). 63.70/9.52 tff(f784,plain,( 63.70/9.52 ~$less(sK1,2) | spl8_33), 63.70/9.52 inference(avatar_component_clause,[],[f782])). 63.70/9.52 tff(f12525,plain,( 63.70/9.52 ~spl8_133 | ~spl8_95 | ~spl8_117 | ~spl8_118), 63.70/9.52 inference(avatar_split_clause,[],[f11711,f11606,f11599,f8571,f12522])). 63.70/9.52 tff(f11711,plain,( 63.70/9.52 0 != abs(abs(2)) | (~spl8_95 | ~spl8_117 | ~spl8_118)), 63.70/9.52 inference(backward_demodulation,[],[f10442,f11697])). 63.70/9.52 tff(f10442,plain,( 63.70/9.52 abs(abs(2)) != mod(0,2) | ~spl8_95), 63.70/9.52 inference(constrained_resolution,[],[f8573,f2118])). 63.70/9.52 tff(f12438,plain,( 63.70/9.52 ~spl8_132 | ~spl8_129), 63.70/9.52 inference(avatar_split_clause,[],[f12348,f12009,f12435])). 63.70/9.52 tff(f12435,plain,( 63.70/9.52 spl8_132 <=> $less(4,abs(4))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_132])])). 63.70/9.52 tff(f12348,plain,( 63.70/9.52 ~$less(4,abs(4)) | ~spl8_129), 63.70/9.52 inference(evaluation,[],[f12333])). 63.70/9.52 tff(f12333,plain,( 63.70/9.52 ~$less(4,abs($product(2,2))) | 0 = 2 | $less(4,0) | ~spl8_129), 63.70/9.52 inference(superposition,[],[f455,f12011])). 63.70/9.52 tff(f455,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (~$less(X0,abs($product(div(X0,X1),X1))) | 0 = X1 | $less(X0,0)) )), 63.70/9.52 inference(superposition,[],[f129,f126])). 63.70/9.52 tff(f12383,plain,( 63.70/9.52 spl8_131), 63.70/9.52 inference(avatar_split_clause,[],[f12360,f12380])). 63.70/9.52 tff(f12380,plain,( 63.70/9.52 spl8_131 <=> $less(-1,abs(-2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_131])])). 63.70/9.52 tff(f12360,plain,( 63.70/9.52 $less(-1,abs(-2))), 63.70/9.52 inference(interpreted_simplification,[],[f12359])). 63.70/9.52 tff(f12359,plain,( 63.70/9.52 $less(-1,abs(-2)) | ~$less(-1,0) | ~$less(-2,-1)), 63.70/9.52 inference(instantiation,[],[f1997])). 63.70/9.52 tff(f1997,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : ($less(X0,abs(X1)) | ~$less(X0,0) | ~$less(X1,X0)) )), 63.70/9.52 inference(resolution,[],[f282,f145])). 63.70/9.52 tff(f282,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (~$less(X1,abs(X0)) | $less(X0,abs(X1)) | ~$less(X0,0)) )), 63.70/9.52 inference(superposition,[],[f144,f127])). 63.70/9.52 tff(f127,plain,( 63.70/9.52 ( ! [X0 : $int] : (abs(X0) = $uminus(X0) | ~$less(X0,0)) )), 63.70/9.52 inference(cnf_transformation,[],[f70])). 63.70/9.52 tff(f144,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (~$less(X0,$uminus(X1)) | $less(X1,abs(X0))) )), 63.70/9.52 inference(cnf_transformation,[],[f106])). 63.70/9.52 tff(f12225,plain,( 63.70/9.52 spl8_130 | ~spl8_117), 63.70/9.52 inference(avatar_split_clause,[],[f11738,f11599,f12222])). 63.70/9.52 tff(f12222,plain,( 63.70/9.52 spl8_130 <=> 0 = mod(4,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_130])])). 63.70/9.52 tff(f11738,plain,( 63.70/9.52 0 = mod(4,2) | ~spl8_117), 63.70/9.52 inference(cancellation,[],[f11737])). 63.70/9.52 tff(f11737,plain,( 63.70/9.52 4 = $sum(4,mod(4,2)) | ~spl8_117), 63.70/9.52 inference(evaluation,[],[f11736])). 63.70/9.52 tff(f11736,plain,( 63.70/9.52 4 = $sum($product(2,2),mod(4,2)) | ~spl8_117), 63.70/9.52 inference(forward_demodulation,[],[f11678,f11679])). 63.70/9.52 tff(f11678,plain,( 63.70/9.52 4 = $sum($product(2,div(4,2)),mod(4,2)) | ~spl8_117), 63.70/9.52 inference(evaluation,[],[f11662])). 63.70/9.52 tff(f11662,plain,( 63.70/9.52 $sum($product(2,2),0) = $sum($product(2,div(4,2)),mod($sum($product(2,2),0),2)) | 0 = 2 | ~$less(0,2) | $less(0,0) | $less(2,0) | ~spl8_117), 63.70/9.52 inference(superposition,[],[f687,f11601])). 63.70/9.52 tff(f12012,plain,( 63.70/9.52 spl8_129 | ~spl8_117), 63.70/9.52 inference(avatar_split_clause,[],[f11679,f11599,f12009])). 63.70/9.52 tff(f11795,plain,( 63.70/9.52 spl8_128 | ~spl8_93 | ~spl8_117 | ~spl8_118), 63.70/9.52 inference(avatar_split_clause,[],[f11699,f11606,f11599,f8501,f11792])). 63.70/9.52 tff(f11792,plain,( 63.70/9.52 spl8_128 <=> 0 = mod(2,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_128])])). 63.70/9.52 tff(f8501,plain,( 63.70/9.52 spl8_93 <=> mod(0,2) = mod(2,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_93])])). 63.70/9.52 tff(f11699,plain,( 63.70/9.52 0 = mod(2,2) | (~spl8_93 | ~spl8_117 | ~spl8_118)), 63.70/9.52 inference(backward_demodulation,[],[f8503,f11697])). 63.70/9.52 tff(f8503,plain,( 63.70/9.52 mod(0,2) = mod(2,2) | ~spl8_93), 63.70/9.52 inference(avatar_component_clause,[],[f8501])). 63.70/9.52 tff(f11775,plain,( 63.70/9.52 spl8_127 | ~spl8_117 | ~spl8_118), 63.70/9.52 inference(avatar_split_clause,[],[f11697,f11606,f11599,f11772])). 63.70/9.52 tff(f11770,plain,( 63.70/9.52 spl8_126 | ~spl8_117 | ~spl8_118), 63.70/9.52 inference(avatar_split_clause,[],[f11683,f11606,f11599,f11767])). 63.70/9.52 tff(f11765,plain,( 63.70/9.52 spl8_125 | ~spl8_117), 63.70/9.52 inference(avatar_split_clause,[],[f11681,f11599,f11762])). 63.70/9.52 tff(f11762,plain,( 63.70/9.52 spl8_125 <=> 0 = div(0,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_125])])). 63.70/9.52 tff(f11640,plain,( 63.70/9.52 spl8_124 | ~spl8_5 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f10413,f8594,f209,f11637])). 63.70/9.52 tff(f11637,plain,( 63.70/9.52 spl8_124 <=> $product(0,sF2) = power(0,$sum(1,sK1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_124])])). 63.70/9.52 tff(f10413,plain,( 63.70/9.52 $product(0,sF2) = power(0,$sum(1,sK1)) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(forward_demodulation,[],[f10344,f125])). 63.70/9.52 tff(f10344,plain,( 63.70/9.52 power(0,$sum(1,sK1)) = $product(power(0,1),sF2) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(interpreted_simplification,[],[f10343])). 63.70/9.52 tff(f10343,plain,( 63.70/9.52 power(0,$sum(1,sK1)) = $product(power(0,1),sF2) | $less(1,0) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(instantiation,[],[f8609])). 63.70/9.52 tff(f8609,plain,( 63.70/9.52 ( ! [X7 : $int] : (power(0,$sum(X7,sK1)) = $product(power(0,X7),sF2) | $less(X7,0)) ) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f644,f8595])). 63.70/9.52 tff(f11635,plain,( 63.70/9.52 spl8_123 | ~spl8_5 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f10303,f8594,f209,f11632])). 63.70/9.52 tff(f11632,plain,( 63.70/9.52 spl8_123 <=> $product(sF2,0) = power(0,$sum(sK1,1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_123])])). 63.70/9.52 tff(f10303,plain,( 63.70/9.52 $product(sF2,0) = power(0,$sum(sK1,1)) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(forward_demodulation,[],[f10223,f125])). 63.70/9.52 tff(f10223,plain,( 63.70/9.52 power(0,$sum(sK1,1)) = $product(sF2,power(0,1)) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(interpreted_simplification,[],[f10222])). 63.70/9.52 tff(f10222,plain,( 63.70/9.52 power(0,$sum(sK1,1)) = $product(sF2,power(0,1)) | $less(1,0) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(instantiation,[],[f8608])). 63.70/9.52 tff(f8608,plain,( 63.70/9.52 ( ! [X7 : $int] : (power(0,$sum(sK1,X7)) = $product(sF2,power(0,X7)) | $less(X7,0)) ) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f642,f8595])). 63.70/9.52 tff(f11630,plain,( 63.70/9.52 ~spl8_122 | spl8_104 | ~spl8_108), 63.70/9.52 inference(avatar_split_clause,[],[f11016,f10804,f10208,f11627])). 63.70/9.52 tff(f11627,plain,( 63.70/9.52 spl8_122 <=> 2 = mod(0,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_122])])). 63.70/9.52 tff(f10208,plain,( 63.70/9.52 spl8_104 <=> $less(mod(0,2),0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_104])])). 63.70/9.52 tff(f11016,plain,( 63.70/9.52 2 != mod(0,2) | (spl8_104 | ~spl8_108)), 63.70/9.52 inference(global_subsumption,[],[f10210,f11005])). 63.70/9.52 tff(f11005,plain,( 63.70/9.52 2 != mod(0,2) | $less(mod(0,2),0) | ~spl8_108), 63.70/9.52 inference(constrained_resolution,[],[f10806,f2842])). 63.70/9.52 tff(f2842,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(X0,abs(X0)) | $less(X0,0)) )), 63.70/9.52 inference(evaluation,[],[f2831])). 63.70/9.52 tff(f2831,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(X0,abs($product(X0,1))) | 0 = 1 | $less(X0,0)) )), 63.70/9.52 inference(superposition,[],[f455,f124])). 63.70/9.52 tff(f10210,plain,( 63.70/9.52 ~$less(mod(0,2),0) | spl8_104), 63.70/9.52 inference(avatar_component_clause,[],[f10208])). 63.70/9.52 tff(f11625,plain,( 63.70/9.52 spl8_121 | ~spl8_5 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f9196,f8594,f209,f11622])). 63.70/9.52 tff(f11622,plain,( 63.70/9.52 spl8_121 <=> $product(sF2,0) = power(0,$sum(sK1,2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_121])])). 63.70/9.52 tff(f9196,plain,( 63.70/9.52 $product(sF2,0) = power(0,$sum(sK1,2)) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(evaluation,[],[f8696])). 63.70/9.52 tff(f8696,plain,( 63.70/9.52 power(0,$sum(sK1,2)) = $product(sF2,$product(0,0)) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f3113,f8595])). 63.70/9.52 tff(f11620,plain,( 63.70/9.52 spl8_120 | ~spl8_5 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f9195,f8594,f209,f11617])). 63.70/9.52 tff(f11617,plain,( 63.70/9.52 spl8_120 <=> $product(0,sF2) = power(0,$sum(2,sK1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_120])])). 63.70/9.52 tff(f9195,plain,( 63.70/9.52 $product(0,sF2) = power(0,$sum(2,sK1)) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(evaluation,[],[f8702])). 63.70/9.52 tff(f8702,plain,( 63.70/9.52 power(0,$sum(2,sK1)) = $product($product(0,0),sF2) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f3169,f8595])). 63.70/9.52 tff(f11614,plain,( 63.70/9.52 ~spl8_119), 63.70/9.52 inference(avatar_split_clause,[],[f7575,f11611])). 63.70/9.52 tff(f11611,plain,( 63.70/9.52 spl8_119 <=> $less(abs(2),abs($product(div(2,2),2)))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_119])])). 63.70/9.52 tff(f7575,plain,( 63.70/9.52 ~$less(abs(2),abs($product(div(2,2),2)))), 63.70/9.52 inference(backward_demodulation,[],[f6207,f7574])). 63.70/9.52 tff(f6207,plain,( 63.70/9.52 ~$less(abs(2),abs($product($sum(1,div(0,2)),2)))), 63.70/9.52 inference(evaluation,[],[f6159])). 63.70/9.52 tff(f6159,plain,( 63.70/9.52 ~$less(abs($sum($product(2,1),0)),abs($product($sum(1,div(0,2)),2)))), 63.70/9.52 inference(interpreted_simplification,[],[f6158])). 63.70/9.52 tff(f6158,plain,( 63.70/9.52 ~$less(abs($sum($product(2,1),0)),abs($product($sum(1,div(0,2)),2))) | 0 = 2 | ~$less(0,2) | $less(0,0) | $less(1,0)), 63.70/9.52 inference(instantiation,[],[f688])). 63.70/9.52 tff(f688,plain,( 63.70/9.52 ( ! [X10 : $int,X8 : $int,X9 : $int] : (~$less(abs($sum($product(X8,X9),X10)),abs($product($sum(X9,div(X10,X8)),X8))) | 0 = X8 | ~$less(0,X8) | $less(X10,0) | $less(X9,0)) )), 63.70/9.52 inference(superposition,[],[f129,f153])). 63.70/9.52 tff(f11609,plain,( 63.70/9.52 spl8_118), 63.70/9.52 inference(avatar_split_clause,[],[f7574,f11606])). 63.70/9.52 tff(f11602,plain,( 63.70/9.52 spl8_117), 63.70/9.52 inference(avatar_split_clause,[],[f7218,f11599])). 63.70/9.52 tff(f7218,plain,( 63.70/9.52 div(4,2) = $sum(2,div(0,2))), 63.70/9.52 inference(evaluation,[],[f7217])). 63.70/9.52 tff(f7217,plain,( 63.70/9.52 $less(2,0) | div(4,2) = $sum(2,div(0,2))), 63.70/9.52 inference(forward_demodulation,[],[f7216,f125])). 63.70/9.52 tff(f7216,plain,( 63.70/9.52 div(4,2) = $sum(2,div(0,2)) | $less(power(2,1),0)), 63.70/9.52 inference(forward_demodulation,[],[f7215,f125])). 63.70/9.52 tff(f7215,plain,( 63.70/9.52 $sum(power(2,1),div(0,2)) = div(4,2) | $less(power(2,1),0)), 63.70/9.52 inference(evaluation,[],[f7214])). 63.70/9.52 tff(f7214,plain,( 63.70/9.52 $sum(power(2,1),div(0,2)) = div($product(2,2),2) | $less(power(2,1),0)), 63.70/9.52 inference(forward_demodulation,[],[f7213,f513])). 63.70/9.52 tff(f7213,plain,( 63.70/9.52 $sum(power(2,1),div(0,2)) = div(power(2,2),2) | $less(power(2,1),0)), 63.70/9.52 inference(evaluation,[],[f7140])). 63.70/9.52 tff(f7140,plain,( 63.70/9.52 $sum(power(2,1),div(0,2)) = div($sum(power(2,$sum(1,1)),0),2) | $less(power(2,1),0)), 63.70/9.52 inference(interpreted_simplification,[],[f7139])). 63.70/9.52 tff(f7139,plain,( 63.70/9.52 $sum(power(2,1),div(0,2)) = div($sum(power(2,$sum(1,1)),0),2) | ~$less(0,2) | $less(0,0) | $less(power(2,1),0) | $less(1,0)), 63.70/9.52 inference(instantiation,[],[f676])). 63.70/9.52 tff(f676,plain,( 63.70/9.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(power(X0,X1),div(X2,X0)) = div($sum(power(X0,$sum(X1,1)),X2),X0) | ~$less(0,X0) | $less(X2,0) | $less(power(X0,X1),0) | $less(X1,0)) )), 63.70/9.52 inference(superposition,[],[f153,f134])). 63.70/9.52 tff(f11477,plain,( 63.70/9.52 ~spl8_116 | spl8_4 | ~spl8_5), 63.70/9.52 inference(avatar_split_clause,[],[f11070,f209,f194,f11474])). 63.70/9.52 tff(f11474,plain,( 63.70/9.52 spl8_116 <=> sK1 = power(0,3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_116])])). 63.70/9.52 tff(f11070,plain,( 63.70/9.52 sK1 != power(0,3) | (spl8_4 | ~spl8_5)), 63.70/9.52 inference(evaluation,[],[f11061])). 63.70/9.52 tff(f11061,plain,( 63.70/9.52 sK1 != power(0,3) | $less($product(0,0),0) | (spl8_4 | ~spl8_5)), 63.70/9.52 inference(superposition,[],[f1993,f2971])). 63.70/9.52 tff(f2971,plain,( 63.70/9.52 ( ! [X12 : $int] : ($product($product(X12,X12),X12) = power(X12,3)) )), 63.70/9.52 inference(evaluation,[],[f2938])). 63.70/9.52 tff(f2938,plain,( 63.70/9.52 ( ! [X12 : $int] : (power(X12,$sum(2,1)) = $product($product(X12,X12),X12) | $less(2,0)) )), 63.70/9.52 inference(superposition,[],[f636,f513])). 63.70/9.52 tff(f1993,plain,( 63.70/9.52 ( ! [X3 : $int] : (sK1 != $product(X3,0) | $less(X3,0)) ) | (spl8_4 | ~spl8_5)), 63.70/9.52 inference(global_subsumption,[],[f196,f1975])). 63.70/9.52 tff(f1975,plain,( 63.70/9.52 ( ! [X3 : $int] : (1 = sF2 | $less(X3,0) | sK1 != $product(X3,0)) ) | ~spl8_5), 63.70/9.52 inference(constrained_superposition,[],[f601,f211])). 63.70/9.52 tff(f601,plain,( 63.70/9.52 ( ! [X6 : $int,X5 : $int] : (1 = power(X5,$product(X6,0)) | $less(X6,0)) )), 63.70/9.52 inference(evaluation,[],[f588])). 63.70/9.52 tff(f588,plain,( 63.70/9.52 ( ! [X6 : $int,X5 : $int] : (1 = power(X5,$product(X6,0)) | $less(0,0) | $less(X6,0)) )), 63.70/9.52 inference(superposition,[],[f150,f122])). 63.70/9.52 tff(f11175,plain,( 63.70/9.52 ~spl8_115 | ~spl8_8 | ~spl8_9 | ~spl8_32 | ~spl8_63 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f11067,f8594,f2103,f774,f229,f224,f11172])). 63.70/9.52 tff(f2103,plain,( 63.70/9.52 spl8_63 <=> ! [X1 : $int] : (~$less(sF6,$product(X1,sK0)) | $less(sF5,X1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_63])])). 63.70/9.52 tff(f11067,plain,( 63.70/9.52 ~$less(0,power(0,3)) | (~spl8_8 | ~spl8_9 | ~spl8_32 | ~spl8_63 | ~spl8_97)), 63.70/9.52 inference(evaluation,[],[f11064])). 63.70/9.52 tff(f11064,plain,( 63.70/9.52 ~$less(0,power(0,3)) | $less(1,$product(0,0)) | (~spl8_8 | ~spl8_9 | ~spl8_32 | ~spl8_63 | ~spl8_97)), 63.70/9.52 inference(superposition,[],[f8657,f2971])). 63.70/9.52 tff(f8657,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(0,$product(X1,0)) | $less(1,X1)) ) | (~spl8_8 | ~spl8_9 | ~spl8_32 | ~spl8_63 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f2535,f8595])). 63.70/9.52 tff(f2535,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(sK0,$product(X1,sK0)) | $less(1,X1)) ) | (~spl8_8 | ~spl8_9 | ~spl8_32 | ~spl8_63)), 63.70/9.52 inference(forward_demodulation,[],[f2521,f2532])). 63.70/9.52 tff(f2521,plain,( 63.70/9.52 ( ! [X1 : $int] : ($less(1,X1) | ~$less(sF6,$product(X1,sK0))) ) | (~spl8_8 | ~spl8_32 | ~spl8_63)), 63.70/9.52 inference(backward_demodulation,[],[f2104,f2515])). 63.70/9.52 tff(f2104,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(sF6,$product(X1,sK0)) | $less(sF5,X1)) ) | ~spl8_63), 63.70/9.52 inference(avatar_component_clause,[],[f2103])). 63.70/9.52 tff(f10857,plain,( 63.70/9.52 spl8_114 | spl8_113 | ~spl8_49), 63.70/9.52 inference(avatar_split_clause,[],[f2765,f1595,f10832,f10855])). 63.70/9.52 tff(f10855,plain,( 63.70/9.52 spl8_114 <=> ! [X6 : $int] : 0 != mod(X6,1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_114])])). 63.70/9.52 tff(f10832,plain,( 63.70/9.52 spl8_113 <=> ! [X7 : $int] : -1 != abs(X7)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_113])])). 63.70/9.52 tff(f2765,plain,( 63.70/9.52 ( ! [X6 : $int,X5 : $int] : (-1 != abs(X5) | 0 != mod(X6,1)) ) | ~spl8_49), 63.70/9.52 inference(evaluation,[],[f2759])). 63.70/9.52 tff(f2759,plain,( 63.70/9.52 ( ! [X6 : $int,X5 : $int] : ($uminus(1) != abs(X5) | 0 != mod(X6,1) | 0 = 1) ) | ~spl8_49), 63.70/9.52 inference(superposition,[],[f328,f1597])). 63.70/9.52 tff(f10834,plain,( 63.70/9.52 spl8_112 | spl8_113 | ~spl8_19), 63.70/9.52 inference(avatar_split_clause,[],[f2764,f339,f10832,f10829])). 63.70/9.52 tff(f2764,plain,( 63.70/9.52 ( ! [X8 : $int,X7 : $int] : (-1 != abs(X7) | 0 != mod(X8,-1)) ) | ~spl8_19), 63.70/9.52 inference(evaluation,[],[f2760])). 63.70/9.52 tff(f2760,plain,( 63.70/9.52 ( ! [X8 : $int,X7 : $int] : ($uminus(1) != abs(X7) | 0 != mod(X8,-1) | 0 = -1) ) | ~spl8_19), 63.70/9.52 inference(superposition,[],[f328,f341])). 63.70/9.52 tff(f10826,plain,( 63.70/9.52 ~spl8_111 | spl8_110), 63.70/9.52 inference(avatar_split_clause,[],[f10821,f10813,f10823])). 63.70/9.52 tff(f10821,plain,( 63.70/9.52 ~$less(sK1,1) | spl8_110), 63.70/9.52 inference(global_subsumption,[],[f107,f10819])). 63.70/9.52 tff(f10819,plain,( 63.70/9.52 ~$less(sK1,1) | $less(sK1,0) | spl8_110), 63.70/9.52 inference(superposition,[],[f10815,f126])). 63.70/9.52 tff(f10816,plain,( 63.70/9.52 ~spl8_109 | ~spl8_110 | ~spl8_19 | spl8_41), 63.70/9.52 inference(avatar_split_clause,[],[f944,f900,f339,f10813,f10809])). 63.70/9.52 tff(f10809,plain,( 63.70/9.52 spl8_109 <=> -1 = $product(sF3,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_109])])). 63.70/9.52 tff(f944,plain,( 63.70/9.52 ~$less(abs(sK1),1) | -1 != $product(sF3,2) | (~spl8_19 | spl8_41)), 63.70/9.52 inference(constrained_superposition,[],[f902,f341])). 63.70/9.52 tff(f10807,plain,( 63.70/9.52 spl8_108 | ~spl8_93), 63.70/9.52 inference(avatar_split_clause,[],[f8538,f8501,f10804])). 63.70/9.52 tff(f8538,plain,( 63.70/9.52 $less(mod(0,2),abs(2)) | ~spl8_93), 63.70/9.52 inference(evaluation,[],[f8512])). 63.70/9.52 tff(f8512,plain,( 63.70/9.52 $less(mod(0,2),abs(2)) | 0 = 2 | ~spl8_93), 63.70/9.52 inference(superposition,[],[f132,f8503])). 63.70/9.52 tff(f10492,plain,( 63.70/9.52 ~spl8_107 | spl8_33 | ~spl8_95), 63.70/9.52 inference(avatar_split_clause,[],[f10439,f8571,f782,f10489])). 63.70/9.52 tff(f10489,plain,( 63.70/9.52 spl8_107 <=> sK1 = mod(0,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_107])])). 63.70/9.52 tff(f10439,plain,( 63.70/9.52 sK1 != mod(0,2) | (spl8_33 | ~spl8_95)), 63.70/9.52 inference(constrained_resolution,[],[f8573,f784])). 63.70/9.52 tff(f10487,plain,( 63.70/9.52 spl8_106 | ~spl8_88 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f8957,f8594,f5977,f10484])). 63.70/9.52 tff(f10484,plain,( 63.70/9.52 spl8_106 <=> 0 = power(0,$sum(sF3,1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_106])])). 63.70/9.52 tff(f8957,plain,( 63.70/9.52 0 = power(0,$sum(sF3,1)) | (~spl8_88 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f5979,f8595])). 63.70/9.52 tff(f10482,plain,( 63.70/9.52 spl8_105 | ~spl8_87 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f8922,f8594,f5726,f10479])). 63.70/9.52 tff(f10479,plain,( 63.70/9.52 spl8_105 <=> 0 = power(0,$sum(1,sF3))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_105])])). 63.70/9.52 tff(f8922,plain,( 63.70/9.52 0 = power(0,$sum(1,sF3)) | (~spl8_87 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f5728,f8595])). 63.70/9.52 tff(f5728,plain,( 63.70/9.52 sK0 = power(sK0,$sum(1,sF3)) | ~spl8_87), 63.70/9.52 inference(avatar_component_clause,[],[f5726])). 63.70/9.52 tff(f10211,plain,( 63.70/9.52 ~spl8_104 | ~spl8_93), 63.70/9.52 inference(avatar_split_clause,[],[f8537,f8501,f10208])). 63.70/9.52 tff(f8537,plain,( 63.70/9.52 ~$less(mod(0,2),0) | ~spl8_93), 63.70/9.52 inference(evaluation,[],[f8514])). 63.70/9.52 tff(f8514,plain,( 63.70/9.52 ~$less(mod(0,2),0) | 0 = 2 | $less(2,0) | ~spl8_93), 63.70/9.52 inference(superposition,[],[f137,f8503])). 63.70/9.52 tff(f9737,plain,( 63.70/9.52 ~spl8_103 | ~spl8_5 | spl8_12 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f9201,f8594,f262,f209,f9734])). 63.70/9.52 tff(f9734,plain,( 63.70/9.52 spl8_103 <=> sK1 = 3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_103])])). 63.70/9.52 tff(f262,plain,( 63.70/9.52 spl8_12 <=> sK0 = sF2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_12])])). 63.70/9.52 tff(f9201,plain,( 63.70/9.52 sK1 != 3 | (~spl8_5 | spl8_12 | ~spl8_97)), 63.70/9.52 inference(global_subsumption,[],[f8602,f9194])). 63.70/9.52 tff(f9194,plain,( 63.70/9.52 0 = sF2 | sK1 != 3 | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(evaluation,[],[f8705])). 63.70/9.52 tff(f8705,plain,( 63.70/9.52 sF2 = $product(0,$product(0,0)) | sK1 != 3 | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f3223,f8595])). 63.70/9.52 tff(f3223,plain,( 63.70/9.52 sF2 = $product(sK0,$product(sK0,sK0)) | sK1 != 3 | ~spl8_5), 63.70/9.52 inference(forward_demodulation,[],[f3222,f513])). 63.70/9.52 tff(f3222,plain,( 63.70/9.52 sK1 != 3 | sF2 = $product(sK0,power(sK0,2)) | ~spl8_5), 63.70/9.52 inference(evaluation,[],[f3217])). 63.70/9.52 tff(f3217,plain,( 63.70/9.52 sK1 != $sum(2,1) | sF2 = $product(sK0,power(sK0,2)) | ~spl8_5), 63.70/9.52 inference(interpreted_simplification,[],[f3216])). 63.70/9.52 tff(f3216,plain,( 63.70/9.52 sK1 != $sum(2,1) | $less(2,0) | sF2 = $product(sK0,power(sK0,2)) | ~spl8_5), 63.70/9.52 inference(instantiation,[],[f505])). 63.70/9.52 tff(f8602,plain,( 63.70/9.52 0 != sF2 | (spl8_12 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f263,f8595])). 63.70/9.52 tff(f263,plain,( 63.70/9.52 sK0 != sF2 | spl8_12), 63.70/9.52 inference(avatar_component_clause,[],[f262])). 63.70/9.52 tff(f9474,plain,( 63.70/9.52 ~spl8_102 | spl8_12 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f8602,f8594,f262,f9471])). 63.70/9.52 tff(f9469,plain,( 63.70/9.52 spl8_101 | ~spl8_73 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f8663,f8594,f2581,f9466])). 63.70/9.52 tff(f8663,plain,( 63.70/9.52 1 = power(0,sF3) | (~spl8_73 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f2583,f8595])). 63.70/9.52 tff(f9464,plain,( 63.70/9.52 spl8_100 | ~spl8_5 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f8601,f8594,f209,f9461])). 63.70/9.52 tff(f8601,plain,( 63.70/9.52 sF2 = power(0,sK1) | (~spl8_5 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f211,f8595])). 63.70/9.52 tff(f9459,plain,( 63.70/9.52 spl8_99 | ~spl8_72 | ~spl8_97), 63.70/9.52 inference(avatar_split_clause,[],[f8662,f8594,f2575,f9456])). 63.70/9.52 tff(f2575,plain,( 63.70/9.52 spl8_72 <=> sK0 = sF6), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_72])])). 63.70/9.52 tff(f8662,plain,( 63.70/9.52 0 = sF6 | (~spl8_72 | ~spl8_97)), 63.70/9.52 inference(backward_demodulation,[],[f2577,f8595])). 63.70/9.52 tff(f2577,plain,( 63.70/9.52 sK0 = sF6 | ~spl8_72), 63.70/9.52 inference(avatar_component_clause,[],[f2575])). 63.70/9.52 tff(f8600,plain,( 63.70/9.52 ~spl8_97 | spl8_98 | ~spl8_8 | ~spl8_9 | ~spl8_32), 63.70/9.52 inference(avatar_split_clause,[],[f2534,f774,f229,f224,f8598,f8594])). 63.70/9.52 tff(f8598,plain,( 63.70/9.52 spl8_98 <=> ! [X18 : $int] : 1 = power(X18,sK0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_98])])). 63.70/9.52 tff(f2534,plain,( 63.70/9.52 ( ! [X18 : $int] : (1 = power(X18,sK0) | 0 != sK0) ) | (~spl8_8 | ~spl8_9 | ~spl8_32)), 63.70/9.52 inference(forward_demodulation,[],[f2531,f2532])). 63.70/9.52 tff(f2531,plain,( 63.70/9.52 ( ! [X18 : $int] : (1 = power(X18,sF6) | 0 != sK0) ) | (~spl8_8 | ~spl8_9 | ~spl8_32)), 63.70/9.52 inference(evaluation,[],[f2520])). 63.70/9.52 tff(f2520,plain,( 63.70/9.52 ( ! [X18 : $int] : ($less(1,0) | 1 = power(X18,sF6) | 0 != sK0) ) | (~spl8_8 | ~spl8_9 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f1973,f2515])). 63.70/9.52 tff(f1973,plain,( 63.70/9.52 ( ! [X18 : $int] : (1 = power(X18,sF6) | $less(sF5,0) | 0 != sK0) ) | ~spl8_9), 63.70/9.52 inference(constrained_superposition,[],[f601,f231])). 63.70/9.52 tff(f8592,plain,( 63.70/9.52 ~spl8_96 | ~spl8_49), 63.70/9.52 inference(avatar_split_clause,[],[f8587,f1595,f8589])). 63.70/9.52 tff(f8589,plain,( 63.70/9.52 spl8_96 <=> abs(2) = -2), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_96])])). 63.70/9.52 tff(f8587,plain,( 63.70/9.52 abs(2) != -2 | ~spl8_49), 63.70/9.52 inference(evaluation,[],[f8584])). 63.70/9.52 tff(f8584,plain,( 63.70/9.52 abs(2) != $uminus(2) | ~spl8_49), 63.70/9.52 inference(interpreted_simplification,[],[f8583])). 63.70/9.52 tff(f8583,plain,( 63.70/9.52 abs(2) != $uminus(2) | $less(2,1) | ~spl8_49), 63.70/9.52 inference(instantiation,[],[f2210])). 63.70/9.52 tff(f2210,plain,( 63.70/9.52 ( ! [X0 : $int] : ($uminus(X0) != abs(2) | $less(X0,1)) ) | ~spl8_49), 63.70/9.52 inference(forward_demodulation,[],[f2206,f1597])). 63.70/9.52 tff(f2206,plain,( 63.70/9.52 ( ! [X0 : $int] : ($uminus(X0) != abs(2) | $less(X0,abs(1))) )), 63.70/9.52 inference(interpreted_simplification,[],[f2205])). 63.70/9.52 tff(f2205,plain,( 63.70/9.52 ( ! [X0 : $int] : ($uminus(X0) != abs(2) | $less(X0,abs(1)) | ~$less(1,2)) )), 63.70/9.52 inference(instantiation,[],[f281])). 63.70/9.52 tff(f281,plain,( 63.70/9.52 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($uminus(X0) != abs(X1) | $less(X0,abs(X2)) | ~$less(X2,X1)) )), 63.70/9.52 inference(constrained_resolution,[],[f144,f145])). 63.70/9.52 tff(f8574,plain,( 63.70/9.52 spl8_95 | ~spl8_93), 63.70/9.52 inference(avatar_split_clause,[],[f8536,f8501,f8571])). 63.70/9.52 tff(f8536,plain,( 63.70/9.52 $less(mod(0,2),2) | ~spl8_93), 63.70/9.52 inference(evaluation,[],[f8516])). 63.70/9.52 tff(f8516,plain,( 63.70/9.52 $less(mod(0,2),2) | 0 = 2 | $less(2,0) | ~spl8_93), 63.70/9.52 inference(superposition,[],[f289,f8503])). 63.70/9.52 tff(f8560,plain,( 63.70/9.52 spl8_94 | ~spl8_93), 63.70/9.52 inference(avatar_split_clause,[],[f8534,f8501,f8557])). 63.70/9.52 tff(f8557,plain,( 63.70/9.52 spl8_94 <=> $less(-2,mod(0,2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_94])])). 63.70/9.52 tff(f8534,plain,( 63.70/9.52 $less(-2,mod(0,2)) | ~spl8_93), 63.70/9.52 inference(evaluation,[],[f8518])). 63.70/9.52 tff(f8518,plain,( 63.70/9.52 $less($uminus(2),mod(0,2)) | 0 = 2 | $less(2,0) | ~spl8_93), 63.70/9.52 inference(superposition,[],[f330,f8503])). 63.70/9.52 tff(f330,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : ($less($uminus(X0),mod(X1,X0)) | 0 = X0 | $less(X0,0)) )), 63.70/9.52 inference(superposition,[],[f131,f126])). 63.70/9.52 tff(f8504,plain,( 63.70/9.52 spl8_93), 63.70/9.52 inference(avatar_split_clause,[],[f6045,f8501])). 63.70/9.52 tff(f7350,plain,( 63.70/9.52 ~spl8_92 | spl8_21 | ~spl8_27), 63.70/9.52 inference(avatar_split_clause,[],[f6156,f730,f378,f7347])). 63.70/9.52 tff(f7347,plain,( 63.70/9.52 spl8_92 <=> 2 = abs(sF7)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_92])])). 63.70/9.52 tff(f730,plain,( 63.70/9.52 spl8_27 <=> $less(sF7,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_27])])). 63.70/9.52 tff(f6156,plain,( 63.70/9.52 2 != abs(sF7) | (spl8_21 | ~spl8_27)), 63.70/9.52 inference(global_subsumption,[],[f380,f6141])). 63.70/9.52 tff(f6141,plain,( 63.70/9.52 2 != abs(sF7) | $less(sF7,0) | ~spl8_27), 63.70/9.52 inference(constrained_resolution,[],[f2842,f732])). 63.70/9.52 tff(f732,plain,( 63.70/9.52 $less(sF7,2) | ~spl8_27), 63.70/9.52 inference(avatar_component_clause,[],[f730])). 63.70/9.52 tff(f7138,plain,( 63.70/9.52 ~spl8_91), 63.70/9.52 inference(avatar_split_clause,[],[f6131,f7135])). 63.70/9.52 tff(f7135,plain,( 63.70/9.52 spl8_91 <=> $less(2,abs(2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_91])])). 63.70/9.52 tff(f6131,plain,( 63.70/9.52 ~$less(2,abs(2))), 63.70/9.52 inference(interpreted_simplification,[],[f6130])). 63.70/9.52 tff(f6130,plain,( 63.70/9.52 ~$less(2,abs(2)) | $less(2,0)), 63.70/9.52 inference(instantiation,[],[f2842])). 63.70/9.52 tff(f6674,plain,( 63.70/9.52 ~spl8_90 | spl8_14 | ~spl8_17), 63.70/9.52 inference(avatar_split_clause,[],[f6155,f310,f298,f6671])). 63.70/9.52 tff(f6671,plain,( 63.70/9.52 spl8_90 <=> sK1 = abs(sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_90])])). 63.70/9.52 tff(f6155,plain,( 63.70/9.52 sK1 != abs(sF3) | (spl8_14 | ~spl8_17)), 63.70/9.52 inference(global_subsumption,[],[f299,f6140])). 63.70/9.52 tff(f6140,plain,( 63.70/9.52 sK1 != abs(sF3) | $less(sF3,0) | ~spl8_17), 63.70/9.52 inference(constrained_resolution,[],[f2842,f311])). 63.70/9.52 tff(f6275,plain,( 63.70/9.52 ~spl8_89 | ~spl8_20 | spl8_21), 63.70/9.52 inference(avatar_split_clause,[],[f6157,f378,f354,f6272])). 63.70/9.52 tff(f6272,plain,( 63.70/9.52 spl8_89 <=> 2 = sF7), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_89])])). 63.70/9.52 tff(f354,plain,( 63.70/9.52 spl8_20 <=> $less(sF7,abs(2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_20])])). 63.70/9.52 tff(f6157,plain,( 63.70/9.52 2 != sF7 | (~spl8_20 | spl8_21)), 63.70/9.52 inference(global_subsumption,[],[f380,f6142])). 63.70/9.52 tff(f6142,plain,( 63.70/9.52 2 != sF7 | $less(sF7,0) | ~spl8_20), 63.70/9.52 inference(constrained_resolution,[],[f2842,f356])). 63.70/9.52 tff(f356,plain,( 63.70/9.52 $less(sF7,abs(2)) | ~spl8_20), 63.70/9.52 inference(avatar_component_clause,[],[f354])). 63.70/9.52 tff(f5980,plain,( 63.70/9.52 spl8_88 | ~spl8_7 | spl8_14 | ~spl8_32), 63.70/9.52 inference(avatar_split_clause,[],[f2705,f774,f298,f219,f5977])). 63.70/9.52 tff(f2705,plain,( 63.70/9.52 sK0 = power(sK0,$sum(sF3,1)) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(forward_demodulation,[],[f2691,f125])). 63.70/9.52 tff(f2691,plain,( 63.70/9.52 power(sK0,1) = power(sK0,$sum(sF3,1)) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(interpreted_simplification,[],[f2690])). 63.70/9.52 tff(f2690,plain,( 63.70/9.52 power(sK0,1) = power(sK0,$sum(sF3,1)) | $less(1,0) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(instantiation,[],[f2511])). 63.70/9.52 tff(f2511,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$sum(sF3,X8)) = power(sK0,X8) | $less(X8,0)) ) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(evaluation,[],[f2451])). 63.70/9.52 tff(f2451,plain,( 63.70/9.52 ( ! [X8 : $int] : (power(sK0,$sum(sF3,X8)) = $product(1,power(sK0,X8)) | $less(X8,0)) ) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f643,f776])). 63.70/9.52 tff(f5729,plain,( 63.70/9.52 spl8_87 | ~spl8_7 | spl8_14 | ~spl8_32), 63.70/9.52 inference(avatar_split_clause,[],[f2683,f774,f298,f219,f5726])). 63.70/9.52 tff(f2683,plain,( 63.70/9.52 sK0 = power(sK0,$sum(1,sF3)) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(forward_demodulation,[],[f2670,f125])). 63.70/9.52 tff(f2670,plain,( 63.70/9.52 power(sK0,1) = power(sK0,$sum(1,sF3)) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(interpreted_simplification,[],[f2669])). 63.70/9.52 tff(f2669,plain,( 63.70/9.52 power(sK0,1) = power(sK0,$sum(1,sF3)) | $less(1,0) | (~spl8_7 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(instantiation,[],[f2510])). 63.70/9.52 tff(f5381,plain,( 63.70/9.52 spl8_86 | ~spl8_5 | ~spl8_8 | ~spl8_9 | ~spl8_32), 63.70/9.52 inference(avatar_split_clause,[],[f2544,f774,f229,f224,f209,f5378])). 63.70/9.52 tff(f5378,plain,( 63.70/9.52 spl8_86 <=> sF2 = $product(power(1,sK1),sF2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_86])])). 63.70/9.52 tff(f2544,plain,( 63.70/9.52 sF2 = $product(power(1,sK1),sF2) | (~spl8_5 | ~spl8_8 | ~spl8_9 | ~spl8_32)), 63.70/9.52 inference(forward_demodulation,[],[f2543,f211])). 63.70/9.52 tff(f2543,plain,( 63.70/9.52 power(sK0,sK1) = $product(power(1,sK1),sF2) | (~spl8_5 | ~spl8_8 | ~spl8_9 | ~spl8_32)), 63.70/9.52 inference(forward_demodulation,[],[f2526,f2532])). 63.70/9.52 tff(f2526,plain,( 63.70/9.52 power(sF6,sK1) = $product(power(1,sK1),sF2) | (~spl8_5 | ~spl8_8 | ~spl8_9 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f2159,f2515])). 63.70/9.52 tff(f4877,plain,( 63.70/9.52 ~spl8_85), 63.70/9.52 inference(avatar_split_clause,[],[f4847,f4874])). 63.70/9.52 tff(f4874,plain,( 63.70/9.52 spl8_85 <=> $less(0,mod(0,2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_85])])). 63.70/9.52 tff(f4847,plain,( 63.70/9.52 ~$less(0,mod(0,2))), 63.70/9.52 inference(interpreted_simplification,[],[f4846])). 63.70/9.52 tff(f4846,plain,( 63.70/9.52 $less(0,$sum($product(2,0),0)) | 0 = 2 | ~$less(0,mod(0,2)) | ~$less(0,2) | $less(0,0) | $less(0,0)), 63.70/9.52 inference(instantiation,[],[f663])). 63.70/9.52 tff(f663,plain,( 63.70/9.52 ( ! [X16 : $int,X14 : $int,X15 : $int] : ($less(0,$sum($product(X14,X15),X16)) | 0 = X14 | ~$less(0,mod(X16,X14)) | ~$less(0,X14) | $less(X15,0) | $less(X16,0)) )), 63.70/9.52 inference(superposition,[],[f135,f152])). 63.70/9.52 tff(f4516,plain,( 63.70/9.52 ~spl8_84 | ~spl8_32 | spl8_59), 63.70/9.52 inference(avatar_split_clause,[],[f4326,f2072,f774,f4513])). 63.70/9.52 tff(f4326,plain,( 63.70/9.52 0 != abs(2) | (~spl8_32 | spl8_59)), 63.70/9.52 inference(interpreted_simplification,[],[f4325])). 63.70/9.52 tff(f4325,plain,( 63.70/9.52 0 != abs(2) | ~$less(1,2) | (~spl8_32 | spl8_59)), 63.70/9.52 inference(instantiation,[],[f2460])). 63.70/9.52 tff(f2460,plain,( 63.70/9.52 ( ! [X0 : $int] : (0 != abs(X0) | ~$less(1,X0)) ) | (~spl8_32 | spl8_59)), 63.70/9.52 inference(backward_demodulation,[],[f2084,f776])). 63.70/9.52 tff(f2084,plain,( 63.70/9.52 ( ! [X0 : $int] : (0 != abs(X0) | ~$less(sF4,X0)) ) | spl8_59), 63.70/9.52 inference(constrained_resolution,[],[f2073,f145])). 63.70/9.52 tff(f2073,plain,( 63.70/9.52 ~$less(sF4,0) | spl8_59), 63.70/9.52 inference(avatar_component_clause,[],[f2072])). 63.70/9.52 tff(f3496,plain,( 63.70/9.52 ~spl8_83), 63.70/9.52 inference(avatar_split_clause,[],[f3314,f3493])). 63.70/9.52 tff(f3314,plain,( 63.70/9.52 0 != abs(1)), 63.70/9.52 inference(evaluation,[],[f3303])). 63.70/9.52 tff(f3303,plain,( 63.70/9.52 abs(1) != $product(0,1)), 63.70/9.52 inference(interpreted_simplification,[],[f3302])). 63.70/9.52 tff(f3302,plain,( 63.70/9.52 abs(1) != $product(0,1) | $less(1,0) | $less(0,0) | ~$less($product(0,1),1)), 63.70/9.52 inference(instantiation,[],[f473])). 63.70/9.52 tff(f3301,plain,( 63.70/9.52 ~spl8_81 | ~spl8_82 | ~spl8_37 | spl8_41), 63.70/9.52 inference(avatar_split_clause,[],[f937,f900,f830,f3298,f3294])). 63.70/9.52 tff(f3298,plain,( 63.70/9.52 spl8_82 <=> 2 = $product(sF3,2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_82])])). 63.70/9.52 tff(f937,plain,( 63.70/9.52 2 != $product(sF3,2) | 0 != abs(sK1) | (~spl8_37 | spl8_41)), 63.70/9.52 inference(constrained_resolution,[],[f902,f832])). 63.70/9.52 tff(f3134,plain,( 63.70/9.52 ~spl8_79 | ~spl8_80 | spl8_36), 63.70/9.52 inference(avatar_split_clause,[],[f2747,f810,f3131,f3127])). 63.70/9.52 tff(f3131,plain,( 63.70/9.52 spl8_80 <=> sK1 = 7), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_80])])). 63.70/9.52 tff(f2747,plain,( 63.70/9.52 sK1 != 7 | 0 != mod(3,2) | spl8_36), 63.70/9.52 inference(evaluation,[],[f2740])). 63.70/9.52 tff(f2740,plain,( 63.70/9.52 sK1 != $sum($product(2,2),3) | 0 != mod(3,2) | spl8_36), 63.70/9.52 inference(interpreted_simplification,[],[f2739])). 63.70/9.52 tff(f2739,plain,( 63.70/9.52 sK1 != $sum($product(2,2),3) | $less(2,0) | $less(3,0) | 0 != mod(3,2) | spl8_36), 63.70/9.52 inference(instantiation,[],[f855])). 63.70/9.52 tff(f855,plain,( 63.70/9.52 ( ! [X2 : $int,X1 : $int] : (sK1 != $sum($product(2,X1),X2) | $less(X1,0) | $less(X2,0) | 0 != mod(X2,2)) ) | spl8_36), 63.70/9.52 inference(evaluation,[],[f850])). 63.70/9.52 tff(f850,plain,( 63.70/9.52 ( ! [X2 : $int,X1 : $int] : (0 != mod(X2,2) | ~$less(0,2) | $less(X1,0) | $less(X2,0) | sK1 != $sum($product(2,X1),X2)) ) | spl8_36), 63.70/9.52 inference(constrained_superposition,[],[f811,f152])). 63.70/9.52 tff(f2756,plain,( 63.70/9.52 ~spl8_78 | spl8_65), 63.70/9.52 inference(avatar_split_clause,[],[f2738,f2316,f2753])). 63.70/9.52 tff(f2753,plain,( 63.70/9.52 spl8_78 <=> $less(sK1,$product(sF3,2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_78])])). 63.70/9.52 tff(f2316,plain,( 63.70/9.52 spl8_65 <=> $less(abs(sK1),$product(sF3,2))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_65])])). 63.70/9.52 tff(f2738,plain,( 63.70/9.52 ~$less(sK1,$product(sF3,2)) | spl8_65), 63.70/9.52 inference(global_subsumption,[],[f107,f2737])). 63.70/9.52 tff(f2737,plain,( 63.70/9.52 ~$less(sK1,$product(sF3,2)) | $less(sK1,0) | spl8_65), 63.70/9.52 inference(superposition,[],[f2318,f126])). 63.70/9.52 tff(f2318,plain,( 63.70/9.52 ~$less(abs(sK1),$product(sF3,2)) | spl8_65), 63.70/9.52 inference(avatar_component_clause,[],[f2316])). 63.70/9.52 tff(f2689,plain,( 63.70/9.52 spl8_77 | ~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | ~spl8_32), 63.70/9.52 inference(avatar_split_clause,[],[f2561,f774,f298,f229,f224,f219,f2686])). 63.70/9.52 tff(f2561,plain,( 63.70/9.52 1 = power(1,sF3) | (~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(forward_demodulation,[],[f2560,f2444])). 63.70/9.52 tff(f2444,plain,( 63.70/9.52 1 = power(sK0,sF3) | (~spl8_7 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f221,f776])). 63.70/9.52 tff(f2560,plain,( 63.70/9.52 power(sK0,sF3) = power(1,sF3) | (~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(forward_demodulation,[],[f2559,f2515])). 63.70/9.52 tff(f2559,plain,( 63.70/9.52 power(sK0,sF3) = power(sF5,sF3) | (~spl8_7 | ~spl8_8 | ~spl8_9 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(forward_demodulation,[],[f2499,f2532])). 63.70/9.52 tff(f2499,plain,( 63.70/9.52 power(sF5,sF3) = power(sF6,sF3) | (~spl8_7 | ~spl8_9 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(evaluation,[],[f2469])). 63.70/9.52 tff(f2469,plain,( 63.70/9.52 power(sF6,sF3) = $product(power(sF5,sF3),1) | (~spl8_7 | ~spl8_9 | spl8_14 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f2184,f776])). 63.70/9.52 tff(f2624,plain,( 63.70/9.52 ~spl8_76 | ~spl8_7 | ~spl8_8 | ~spl8_32 | spl8_55), 63.70/9.52 inference(avatar_split_clause,[],[f2546,f1716,f774,f224,f219,f2621])). 63.70/9.52 tff(f1716,plain,( 63.70/9.52 spl8_55 <=> sF5 = $product(sK0,sK0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_55])])). 63.70/9.52 tff(f2546,plain,( 63.70/9.52 2 != sF3 | (~spl8_7 | ~spl8_8 | ~spl8_32 | spl8_55)), 63.70/9.52 inference(global_subsumption,[],[f2519,f2453])). 63.70/9.52 tff(f2453,plain,( 63.70/9.52 1 = $product(sK0,sK0) | 2 != sF3 | (~spl8_7 | ~spl8_32)), 63.70/9.52 inference(backward_demodulation,[],[f912,f776])). 63.70/9.52 tff(f912,plain,( 63.70/9.52 sF4 = $product(sK0,sK0) | 2 != sF3 | ~spl8_7), 63.70/9.52 inference(constrained_superposition,[],[f513,f221])). 63.70/9.52 tff(f2519,plain,( 63.70/9.52 1 != $product(sK0,sK0) | (~spl8_8 | ~spl8_32 | spl8_55)), 63.70/9.52 inference(backward_demodulation,[],[f1717,f2515])). 63.70/9.52 tff(f1717,plain,( 63.70/9.52 sF5 != $product(sK0,sK0) | spl8_55), 63.70/9.52 inference(avatar_component_clause,[],[f1716])). 63.70/9.52 tff(f2594,plain,( 63.70/9.52 ~spl8_75 | ~spl8_8 | ~spl8_32 | spl8_68), 63.70/9.52 inference(avatar_split_clause,[],[f2528,f2435,f774,f224,f2591])). 63.70/9.52 tff(f2591,plain,( 63.70/9.52 spl8_75 <=> 1 = sF6), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_75])])). 63.70/9.52 tff(f2435,plain,( 63.70/9.52 spl8_68 <=> sF5 = sF6), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_68])])). 63.70/9.52 tff(f2528,plain,( 63.70/9.52 1 != sF6 | (~spl8_8 | ~spl8_32 | spl8_68)), 63.70/9.52 inference(backward_demodulation,[],[f2436,f2515])). 63.70/9.52 tff(f2436,plain,( 63.70/9.52 sF5 != sF6 | spl8_68), 63.70/9.52 inference(avatar_component_clause,[],[f2435])). 63.70/9.52 tff(f2589,plain,( 63.70/9.52 ~spl8_74 | ~spl8_8 | ~spl8_32 | spl8_55), 63.70/9.52 inference(avatar_split_clause,[],[f2519,f1716,f774,f224,f2586])). 63.70/9.52 tff(f2586,plain,( 63.70/9.52 spl8_74 <=> 1 = $product(sK0,sK0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_74])])). 63.70/9.52 tff(f2584,plain,( 63.70/9.52 spl8_73 | ~spl8_7 | ~spl8_32), 63.70/9.52 inference(avatar_split_clause,[],[f2444,f774,f219,f2581])). 63.70/9.52 tff(f2578,plain,( 63.70/9.52 spl8_72 | ~spl8_8 | ~spl8_9 | ~spl8_32), 63.70/9.52 inference(avatar_split_clause,[],[f2532,f774,f229,f224,f2575])). 63.70/9.52 tff(f2573,plain,( 63.70/9.52 ~spl8_71 | ~spl8_7 | ~spl8_32 | spl8_67), 63.70/9.52 inference(avatar_split_clause,[],[f2516,f2421,f774,f219,f2570])). 63.70/9.52 tff(f2570,plain,( 63.70/9.52 spl8_71 <=> 1 = sK0), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_71])])). 63.70/9.52 tff(f2421,plain,( 63.70/9.52 spl8_67 <=> sK0 = power(sK0,sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_67])])). 63.70/9.52 tff(f2516,plain,( 63.70/9.52 1 != sK0 | (~spl8_7 | ~spl8_32 | spl8_67)), 63.70/9.52 inference(backward_demodulation,[],[f2422,f2444])). 63.70/9.52 tff(f2422,plain,( 63.70/9.52 sK0 != power(sK0,sF3) | spl8_67), 63.70/9.52 inference(avatar_component_clause,[],[f2421])). 63.70/9.52 tff(f2568,plain,( 63.70/9.52 spl8_70 | ~spl8_8 | ~spl8_32), 63.70/9.52 inference(avatar_split_clause,[],[f2515,f774,f224,f2565])). 63.70/9.52 tff(f2565,plain,( 63.70/9.52 spl8_70 <=> 1 = sF5), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_70])])). 63.70/9.52 tff(f2442,plain,( 63.70/9.52 spl8_68 | ~spl8_69 | ~spl8_8 | ~spl8_9 | ~spl8_30), 63.70/9.52 inference(avatar_split_clause,[],[f2395,f763,f229,f224,f2439,f2435])). 63.70/9.52 tff(f2439,plain,( 63.70/9.52 spl8_69 <=> sK0 = sF5), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_69])])). 63.70/9.52 tff(f763,plain,( 63.70/9.52 spl8_30 <=> sK0 = sF4), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_30])])). 63.70/9.52 tff(f2395,plain,( 63.70/9.52 sK0 != sF5 | sF5 = sF6 | (~spl8_8 | ~spl8_9 | ~spl8_30)), 63.70/9.52 inference(backward_demodulation,[],[f2345,f765])). 63.70/9.52 tff(f765,plain,( 63.70/9.52 sK0 = sF4 | ~spl8_30), 63.70/9.52 inference(avatar_component_clause,[],[f763])). 63.70/9.52 tff(f2345,plain,( 63.70/9.52 sF5 = sF6 | sF4 != sF5 | (~spl8_8 | ~spl8_9 | ~spl8_30)), 63.70/9.52 inference(global_subsumption,[],[f765,f1217])). 63.70/9.52 tff(f1217,plain,( 63.70/9.52 sF5 = sF6 | sF4 != sF5 | sK0 != sF4 | (~spl8_8 | ~spl8_9)), 63.70/9.52 inference(constrained_superposition,[],[f226,f231])). 63.70/9.52 tff(f2424,plain,( 63.70/9.52 spl8_67 | ~spl8_7 | ~spl8_30), 63.70/9.52 inference(avatar_split_clause,[],[f2346,f763,f219,f2421])). 63.70/9.52 tff(f2346,plain,( 63.70/9.52 sK0 = power(sK0,sF3) | (~spl8_7 | ~spl8_30)), 63.70/9.52 inference(backward_demodulation,[],[f221,f765])). 63.70/9.52 tff(f2340,plain,( 63.70/9.52 ~spl8_66 | spl8_41), 63.70/9.52 inference(avatar_split_clause,[],[f947,f900,f2337])). 63.70/9.52 tff(f2337,plain,( 63.70/9.52 spl8_66 <=> $less(sK1,abs($product(sF3,2)))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_66])])). 63.70/9.52 tff(f947,plain,( 63.70/9.52 ~$less(sK1,abs($product(sF3,2))) | spl8_41), 63.70/9.52 inference(global_subsumption,[],[f107,f943])). 63.70/9.52 tff(f943,plain,( 63.70/9.52 ~$less(sK1,abs($product(sF3,2))) | $less(sK1,0) | spl8_41), 63.70/9.52 inference(superposition,[],[f902,f126])). 63.70/9.52 tff(f2319,plain,( 63.70/9.52 ~spl8_65 | spl8_41), 63.70/9.52 inference(avatar_split_clause,[],[f940,f900,f2316])). 63.70/9.52 tff(f940,plain,( 63.70/9.52 ~$less(abs(sK1),$product(sF3,2)) | spl8_41), 63.70/9.52 inference(resolution,[],[f902,f145])). 63.70/9.52 tff(f2182,plain,( 63.70/9.52 ~spl8_64 | ~spl8_19 | ~spl8_50), 63.70/9.52 inference(avatar_split_clause,[],[f1930,f1600,f339,f2179])). 63.70/9.52 tff(f2179,plain,( 63.70/9.52 spl8_64 <=> -1 = abs(2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_64])])). 63.70/9.52 tff(f1930,plain,( 63.70/9.52 -1 != abs(2) | (~spl8_19 | ~spl8_50)), 63.70/9.52 inference(evaluation,[],[f1924])). 63.70/9.52 tff(f1924,plain,( 63.70/9.52 -1 != abs(2) | $less(1,1) | (~spl8_19 | ~spl8_50)), 63.70/9.52 inference(constrained_resolution,[],[f710,f1602])). 63.70/9.52 tff(f710,plain,( 63.70/9.52 ( ! [X4 : $int] : (~$less(X4,-1) | $less(X4,1)) ) | ~spl8_19), 63.70/9.52 inference(superposition,[],[f145,f341])). 63.70/9.52 tff(f2105,plain,( 63.70/9.52 spl8_62 | spl8_63 | ~spl8_9), 63.70/9.52 inference(avatar_split_clause,[],[f475,f229,f2103,f2099])). 63.70/9.52 tff(f475,plain,( 63.70/9.52 ( ! [X1 : $int] : (~$less(sF6,$product(X1,sK0)) | $less(sK0,0) | $less(sF5,X1)) ) | ~spl8_9), 63.70/9.52 inference(superposition,[],[f148,f231])). 63.70/9.52 tff(f2093,plain,( 63.70/9.52 ~spl8_61 | ~spl8_50), 63.70/9.52 inference(avatar_split_clause,[],[f1946,f1600,f2090])). 63.70/9.52 tff(f2090,plain,( 63.70/9.52 spl8_61 <=> 1 = abs(2)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_61])])). 63.70/9.52 tff(f1946,plain,( 63.70/9.52 1 != abs(2) | ~spl8_50), 63.70/9.52 inference(evaluation,[],[f1940])). 63.70/9.52 tff(f1940,plain,( 63.70/9.52 1 != abs(2) | 0 = 1 | $less(1,0) | ~spl8_50), 63.70/9.52 inference(constrained_resolution,[],[f384,f1602])). 63.70/9.52 tff(f2078,plain,( 63.70/9.52 spl8_59 | spl8_60 | ~spl8_8), 63.70/9.52 inference(avatar_split_clause,[],[f474,f224,f2076,f2072])). 63.70/9.52 tff(f2076,plain,( 63.70/9.52 spl8_60 <=> ! [X0 : $int] : (~$less(sF5,$product(X0,sF4)) | $less(sF4,X0))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_60])])). 63.70/9.52 tff(f474,plain,( 63.70/9.52 ( ! [X0 : $int] : (~$less(sF5,$product(X0,sF4)) | $less(sF4,0) | $less(sF4,X0)) ) | ~spl8_8), 63.70/9.52 inference(superposition,[],[f148,f226])). 63.70/9.52 tff(f2055,plain,( 63.70/9.52 ~spl8_58 | ~spl8_19 | ~spl8_53), 63.70/9.52 inference(avatar_split_clause,[],[f1931,f1706,f339,f2052])). 63.70/9.52 tff(f2052,plain,( 63.70/9.52 spl8_58 <=> sK1 = -1), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_58])])). 63.70/9.52 tff(f1931,plain,( 63.70/9.52 sK1 != -1 | (~spl8_19 | ~spl8_53)), 63.70/9.52 inference(evaluation,[],[f1923])). 63.70/9.52 tff(f1923,plain,( 63.70/9.52 sK1 != -1 | $less(1,1) | (~spl8_19 | ~spl8_53)), 63.70/9.52 inference(constrained_resolution,[],[f710,f1708])). 63.70/9.52 tff(f1961,plain,( 63.70/9.52 ~spl8_57 | spl8_14 | ~spl8_49), 63.70/9.52 inference(avatar_split_clause,[],[f1956,f1595,f298,f1958])). 63.70/9.52 tff(f1958,plain,( 63.70/9.52 spl8_57 <=> sF3 = -1), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_57])])). 63.70/9.52 tff(f1956,plain,( 63.70/9.52 sF3 != -1 | (spl8_14 | ~spl8_49)), 63.70/9.52 inference(global_subsumption,[],[f123,f1955])). 63.70/9.52 tff(f1955,plain,( 63.70/9.52 ( ! [X3 : $int] : (sF3 != -1 | 0 != mod(X3,1)) ) | (spl8_14 | ~spl8_49)), 63.70/9.52 inference(evaluation,[],[f1950])). 63.70/9.52 tff(f1950,plain,( 63.70/9.52 ( ! [X3 : $int] : ($uminus(1) != sF3 | 0 != mod(X3,1) | 0 = 1) ) | (spl8_14 | ~spl8_49)), 63.70/9.52 inference(superposition,[],[f327,f1597])). 63.70/9.52 tff(f1889,plain,( 63.70/9.52 spl8_56 | ~spl8_51), 63.70/9.52 inference(avatar_split_clause,[],[f1771,f1621,f1886])). 63.70/9.52 tff(f1886,plain,( 63.70/9.52 spl8_56 <=> $less($uminus(abs(2)),1)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_56])])). 63.70/9.52 tff(f1771,plain,( 63.70/9.52 $less($uminus(abs(2)),1) | ~spl8_51), 63.70/9.52 inference(evaluation,[],[f1768])). 63.70/9.52 tff(f1768,plain,( 63.70/9.52 $less($uminus(abs(2)),1) | 0 = 2 | ~spl8_51), 63.70/9.52 inference(superposition,[],[f131,f1623])). 63.70/9.52 tff(f1719,plain,( 63.70/9.52 spl8_55 | ~spl8_8 | ~spl8_30), 63.70/9.52 inference(avatar_split_clause,[],[f1632,f763,f224,f1716])). 63.70/9.52 tff(f1632,plain,( 63.70/9.52 sF5 = $product(sK0,sK0) | (~spl8_8 | ~spl8_30)), 63.70/9.52 inference(backward_demodulation,[],[f226,f765])). 63.70/9.52 tff(f1714,plain,( 63.70/9.52 ~spl8_54 | ~spl8_29 | spl8_39), 63.70/9.52 inference(avatar_split_clause,[],[f1698,f845,f759,f1711])). 63.70/9.52 tff(f1711,plain,( 63.70/9.52 spl8_54 <=> 2 = sK1), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_54])])). 63.70/9.52 tff(f759,plain,( 63.70/9.52 spl8_29 <=> 1 = sF3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_29])])). 63.70/9.52 tff(f1698,plain,( 63.70/9.52 2 != sK1 | (~spl8_29 | spl8_39)), 63.70/9.52 inference(evaluation,[],[f1665])). 63.70/9.52 tff(f1665,plain,( 63.70/9.52 sK1 != $product(2,1) | (~spl8_29 | spl8_39)), 63.70/9.52 inference(backward_demodulation,[],[f846,f760])). 63.70/9.52 tff(f760,plain,( 63.70/9.52 1 = sF3 | ~spl8_29), 63.70/9.52 inference(avatar_component_clause,[],[f759])). 63.70/9.52 tff(f846,plain,( 63.70/9.52 sK1 != $product(2,sF3) | spl8_39), 63.70/9.52 inference(avatar_component_clause,[],[f845])). 63.70/9.52 tff(f1709,plain,( 63.70/9.52 spl8_53 | ~spl8_17 | ~spl8_29), 63.70/9.52 inference(avatar_split_clause,[],[f1657,f759,f310,f1706])). 63.70/9.52 tff(f1657,plain,( 63.70/9.52 $less(1,sK1) | (~spl8_17 | ~spl8_29)), 63.70/9.52 inference(backward_demodulation,[],[f311,f760])). 63.70/9.52 tff(f1629,plain,( 63.70/9.52 spl8_52), 63.70/9.52 inference(avatar_split_clause,[],[f1323,f1626])). 63.70/9.52 tff(f1323,plain,( 63.70/9.52 0 = div(1,2)), 63.70/9.52 inference(interpreted_simplification,[],[f1322])). 63.70/9.52 tff(f1322,plain,( 63.70/9.52 0 = div(1,2) | $less(1,0) | ~$less(1,2)), 63.70/9.52 inference(instantiation,[],[f142])). 63.70/9.52 tff(f1624,plain,( 63.70/9.52 spl8_51), 63.70/9.52 inference(avatar_split_clause,[],[f1291,f1621])). 63.70/9.52 tff(f1291,plain,( 63.70/9.52 1 = mod(1,2)), 63.70/9.52 inference(interpreted_simplification,[],[f1290])). 63.70/9.52 tff(f1290,plain,( 63.70/9.52 1 = mod(1,2) | ~$less(1,2) | $less(1,0)), 63.70/9.52 inference(instantiation,[],[f138])). 63.70/9.52 tff(f1603,plain,( 63.70/9.52 spl8_50), 63.70/9.52 inference(avatar_split_clause,[],[f1232,f1600])). 63.70/9.52 tff(f1232,plain,( 63.70/9.52 $less(1,abs(2))), 63.70/9.52 inference(interpreted_simplification,[],[f1231])). 63.70/9.52 tff(f1231,plain,( 63.70/9.52 $less(1,abs(2)) | ~$less(1,2)), 63.70/9.52 inference(instantiation,[],[f145])). 63.70/9.52 tff(f1598,plain,( 63.70/9.52 spl8_49), 63.70/9.52 inference(avatar_split_clause,[],[f1223,f1595])). 63.70/9.52 tff(f1223,plain,( 63.70/9.52 1 = abs(1)), 63.70/9.52 inference(interpreted_simplification,[],[f1222])). 63.70/9.52 tff(f1222,plain,( 63.70/9.52 1 = abs(1) | $less(1,0)), 63.70/9.52 inference(instantiation,[],[f126])). 63.70/9.52 tff(f1399,plain,( 63.70/9.52 ~spl8_48 | spl8_43), 63.70/9.52 inference(avatar_split_clause,[],[f1229,f991,f1396])). 63.70/9.52 tff(f1396,plain,( 63.70/9.52 spl8_48 <=> sF7 = -1), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_48])])). 63.70/9.52 tff(f991,plain,( 63.70/9.52 spl8_43 <=> sF7 = $uminus(abs(1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_43])])). 63.70/9.52 tff(f1229,plain,( 63.70/9.52 sF7 != -1 | spl8_43), 63.70/9.52 inference(evaluation,[],[f1227])). 63.70/9.52 tff(f1227,plain,( 63.70/9.52 $uminus(1) != sF7 | spl8_43), 63.70/9.52 inference(backward_demodulation,[],[f993,f1223])). 63.70/9.52 tff(f993,plain,( 63.70/9.52 sF7 != $uminus(abs(1)) | spl8_43), 63.70/9.52 inference(avatar_component_clause,[],[f991])). 63.70/9.52 tff(f1178,plain,( 63.70/9.52 ~spl8_25 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1177])). 63.70/9.52 tff(f1177,plain,( 63.70/9.52 $false | (~spl8_25 | ~spl8_46)), 63.70/9.52 inference(evaluation,[],[f1176])). 63.70/9.52 tff(f1176,plain,( 63.70/9.52 $less(0,0) | (~spl8_25 | ~spl8_46)), 63.70/9.52 inference(forward_demodulation,[],[f1146,f1041])). 63.70/9.52 tff(f1041,plain,( 63.70/9.52 ( ! [X1 : $int] : (0 = X1) ) | ~spl8_46), 63.70/9.52 inference(subsumption_resolution,[],[f368,f1031])). 63.70/9.52 tff(f1031,plain,( 63.70/9.52 ( ! [X5 : $int] : ($less(X5,0)) ) | ~spl8_46), 63.70/9.52 inference(avatar_component_clause,[],[f1030])). 63.70/9.52 tff(f1030,plain,( 63.70/9.52 spl8_46 <=> ! [X5 : $int] : $less(X5,0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_46])])). 63.70/9.52 tff(f1146,plain,( 63.70/9.52 $less(0,sF7) | (~spl8_25 | ~spl8_46)), 63.70/9.52 inference(evaluation,[],[f1097])). 63.70/9.52 tff(f1097,plain,( 63.70/9.52 $less($uminus(0),sF7) | (~spl8_25 | ~spl8_46)), 63.70/9.52 inference(backward_demodulation,[],[f722,f1041])). 63.70/9.52 tff(f1155,plain,( 63.70/9.52 spl8_16 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1068])). 63.70/9.52 tff(f1068,plain,( 63.70/9.52 $false | (spl8_16 | ~spl8_46)), 63.70/9.52 inference(subsumption_resolution,[],[f308,f1041])). 63.70/9.52 tff(f1154,plain,( 63.70/9.52 spl8_31 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1067])). 63.70/9.52 tff(f1067,plain,( 63.70/9.52 $false | (spl8_31 | ~spl8_46)), 63.70/9.52 inference(subsumption_resolution,[],[f772,f1041])). 63.70/9.52 tff(f1153,plain,( 63.70/9.52 spl8_3 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1066])). 63.70/9.52 tff(f1066,plain,( 63.70/9.52 $false | (spl8_3 | ~spl8_46)), 63.70/9.52 inference(subsumption_resolution,[],[f192,f1041])). 63.70/9.52 tff(f1152,plain,( 63.70/9.52 spl8_36 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1064])). 63.70/9.52 tff(f1064,plain,( 63.70/9.52 $false | (spl8_36 | ~spl8_46)), 63.70/9.52 inference(subsumption_resolution,[],[f811,f1041])). 63.70/9.52 tff(f1151,plain,( 63.70/9.52 ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1150])). 63.70/9.52 tff(f1150,plain,( 63.70/9.52 $false | ~spl8_46), 63.70/9.52 inference(evaluation,[],[f1073])). 63.70/9.52 tff(f1073,plain,( 63.70/9.52 0 = 1 | ~spl8_46), 63.70/9.52 inference(backward_demodulation,[],[f122,f1041])). 63.70/9.52 tff(f1148,plain,( 63.70/9.52 ~spl8_18 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1147])). 63.70/9.52 tff(f1147,plain,( 63.70/9.52 $false | (~spl8_18 | ~spl8_46)), 63.70/9.52 inference(evaluation,[],[f1095])). 63.70/9.52 tff(f1095,plain,( 63.70/9.52 $less(0,0) | (~spl8_18 | ~spl8_46)), 63.70/9.52 inference(backward_demodulation,[],[f323,f1041])). 63.70/9.52 tff(f323,plain,( 63.70/9.52 $less(0,abs(1)) | ~spl8_18), 63.70/9.52 inference(avatar_component_clause,[],[f321])). 63.70/9.52 tff(f321,plain,( 63.70/9.52 spl8_18 <=> $less(0,abs(1))), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_18])])). 63.70/9.52 tff(f1145,plain,( 63.70/9.52 ~spl8_37 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1144])). 63.70/9.52 tff(f1144,plain,( 63.70/9.52 $false | (~spl8_37 | ~spl8_46)), 63.70/9.52 inference(evaluation,[],[f1098])). 63.70/9.52 tff(f1098,plain,( 63.70/9.52 $less(0,0) | (~spl8_37 | ~spl8_46)), 63.70/9.52 inference(backward_demodulation,[],[f832,f1041])). 63.70/9.52 tff(f1142,plain,( 63.70/9.52 ~spl8_19 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1141])). 63.70/9.52 tff(f1141,plain,( 63.70/9.52 $false | (~spl8_19 | ~spl8_46)), 63.70/9.52 inference(evaluation,[],[f1102])). 63.70/9.52 tff(f1102,plain,( 63.70/9.52 0 = 1 | (~spl8_19 | ~spl8_46)), 63.70/9.52 inference(backward_demodulation,[],[f341,f1041])). 63.70/9.52 tff(f1139,plain,( 63.70/9.52 ~spl8_34 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1138])). 63.70/9.52 tff(f1138,plain,( 63.70/9.52 $false | (~spl8_34 | ~spl8_46)), 63.70/9.52 inference(evaluation,[],[f1130])). 63.70/9.52 tff(f1130,plain,( 63.70/9.52 $less(0,0) | (~spl8_34 | ~spl8_46)), 63.70/9.52 inference(backward_demodulation,[],[f790,f1041])). 63.70/9.52 tff(f1137,plain,( 63.70/9.52 ~spl8_35 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1136])). 63.70/9.52 tff(f1136,plain,( 63.70/9.52 $false | (~spl8_35 | ~spl8_46)), 63.70/9.52 inference(evaluation,[],[f1135])). 63.70/9.52 tff(f1135,plain,( 63.70/9.52 $less(0,0) | (~spl8_35 | ~spl8_46)), 63.70/9.52 inference(backward_demodulation,[],[f793,f1041])). 63.70/9.52 tff(f1049,plain,( 63.70/9.52 spl8_21 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1045])). 63.70/9.52 tff(f1045,plain,( 63.70/9.52 $false | (spl8_21 | ~spl8_46)), 63.70/9.52 inference(subsumption_resolution,[],[f380,f1031])). 63.70/9.52 tff(f1048,plain,( 63.70/9.52 spl8_14 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1044])). 63.70/9.52 tff(f1044,plain,( 63.70/9.52 $false | (spl8_14 | ~spl8_46)), 63.70/9.52 inference(subsumption_resolution,[],[f299,f1031])). 63.70/9.52 tff(f1047,plain,( 63.70/9.52 spl8_1 | ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1043])). 63.70/9.52 tff(f1043,plain,( 63.70/9.52 $false | (spl8_1 | ~spl8_46)), 63.70/9.52 inference(subsumption_resolution,[],[f180,f1031])). 63.70/9.52 tff(f1046,plain,( 63.70/9.52 ~spl8_46), 63.70/9.52 inference(avatar_contradiction_clause,[],[f1038])). 63.70/9.52 tff(f1038,plain,( 63.70/9.52 $false | ~spl8_46), 63.70/9.52 inference(subsumption_resolution,[],[f120,f1031])). 63.70/9.52 tff(f1035,plain,( 63.70/9.52 spl8_46 | spl8_47), 63.70/9.52 inference(avatar_split_clause,[],[f375,f1033,f1030])). 63.70/9.52 tff(f1033,plain,( 63.70/9.52 spl8_47 <=> ! [X4 : $int] : (0 != abs(X4) | 0 = X4)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_47])])). 63.70/9.52 tff(f375,plain,( 63.70/9.52 ( ! [X4 : $int,X5 : $int] : (0 != abs(X4) | 0 = X4 | $less(X5,0)) )), 63.70/9.52 inference(duplicate_literal_removal,[],[f370])). 63.70/9.52 tff(f370,plain,( 63.70/9.52 ( ! [X4 : $int,X5 : $int] : (0 != abs(X4) | 0 = X4 | $less(X5,0) | 0 = X4) )), 63.70/9.52 inference(constrained_resolution,[],[f137,f132])). 63.70/9.52 tff(f1028,plain,( 63.70/9.52 spl8_45 | ~spl8_10 | spl8_14 | ~spl8_42), 63.70/9.52 inference(avatar_split_clause,[],[f964,f905,f298,f234,f1025])). 63.70/9.52 tff(f964,plain,( 63.70/9.52 sF7 = mod(sF7,2) | (~spl8_10 | spl8_14 | ~spl8_42)), 63.70/9.52 inference(global_subsumption,[],[f299,f376,f963])). 63.70/9.52 tff(f963,plain,( 63.70/9.52 sF7 = mod(sF7,2) | $less(sF3,0) | $less(sF7,0) | (~spl8_10 | ~spl8_42)), 63.70/9.52 inference(forward_demodulation,[],[f958,f236])). 63.70/9.52 tff(f958,plain,( 63.70/9.52 mod(sK1,2) = mod(sF7,2) | $less(sF3,0) | $less(sF7,0) | ~spl8_42), 63.70/9.52 inference(evaluation,[],[f955])). 63.70/9.52 tff(f955,plain,( 63.70/9.52 mod(sK1,2) = mod(sF7,2) | ~$less(0,2) | $less(sF3,0) | $less(sF7,0) | ~spl8_42), 63.70/9.52 inference(superposition,[],[f152,f907])). 63.70/9.52 tff(f376,plain,( 63.70/9.52 ~$less(sF7,0) | ~spl8_10), 63.70/9.52 inference(global_subsumption,[],[f107,f374])). 63.70/9.52 tff(f374,plain,( 63.70/9.52 ~$less(sF7,0) | $less(sK1,0) | ~spl8_10), 63.70/9.52 inference(evaluation,[],[f373])). 63.70/9.52 tff(f373,plain,( 63.70/9.52 ~$less(sF7,0) | 0 = 2 | $less(sK1,0) | ~spl8_10), 63.70/9.52 inference(superposition,[],[f137,f236])). 63.70/9.52 tff(f1011,plain,( 63.70/9.52 spl8_44 | ~spl8_6 | spl8_14 | spl8_21 | ~spl8_42), 63.70/9.52 inference(avatar_split_clause,[],[f962,f905,f378,f298,f214,f1008])). 63.70/9.52 tff(f962,plain,( 63.70/9.52 0 = div(sF7,2) | (~spl8_6 | spl8_14 | spl8_21 | ~spl8_42)), 63.70/9.52 inference(global_subsumption,[],[f299,f380,f961])). 63.70/9.52 tff(f961,plain,( 63.70/9.52 0 = div(sF7,2) | $less(sF7,0) | $less(sF3,0) | (~spl8_6 | ~spl8_42)), 63.70/9.52 inference(cancellation,[],[f960])). 63.70/9.52 tff(f960,plain,( 63.70/9.52 sF3 = $sum(sF3,div(sF7,2)) | $less(sF7,0) | $less(sF3,0) | (~spl8_6 | ~spl8_42)), 63.70/9.52 inference(forward_demodulation,[],[f959,f216])). 63.70/9.52 tff(f959,plain,( 63.70/9.52 div(sK1,2) = $sum(sF3,div(sF7,2)) | $less(sF7,0) | $less(sF3,0) | ~spl8_42), 63.70/9.52 inference(evaluation,[],[f954])). 63.70/9.52 tff(f954,plain,( 63.70/9.52 div(sK1,2) = $sum(sF3,div(sF7,2)) | ~$less(0,2) | $less(sF7,0) | $less(sF3,0) | ~spl8_42), 63.70/9.52 inference(superposition,[],[f153,f907])). 63.70/9.52 tff(f994,plain,( 63.70/9.52 ~spl8_43 | spl8_21 | ~spl8_26), 63.70/9.52 inference(avatar_split_clause,[],[f856,f725,f378,f991])). 63.70/9.52 tff(f725,plain,( 63.70/9.52 spl8_26 <=> $less($uminus(abs(1)),0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_26])])). 63.70/9.52 tff(f856,plain,( 63.70/9.52 sF7 != $uminus(abs(1)) | (spl8_21 | ~spl8_26)), 63.70/9.52 inference(constrained_resolution,[],[f380,f727])). 63.70/9.52 tff(f727,plain,( 63.70/9.52 $less($uminus(abs(1)),0) | ~spl8_26), 63.70/9.52 inference(avatar_component_clause,[],[f725])). 63.70/9.52 tff(f908,plain,( 63.70/9.52 spl8_42 | ~spl8_6 | ~spl8_10), 63.70/9.52 inference(avatar_split_clause,[],[f492,f234,f214,f905])). 63.70/9.52 tff(f492,plain,( 63.70/9.52 sK1 = $sum($product(2,sF3),sF7) | (~spl8_6 | ~spl8_10)), 63.70/9.52 inference(forward_demodulation,[],[f489,f236])). 63.70/9.52 tff(f489,plain,( 63.70/9.52 sK1 = $sum($product(2,sF3),mod(sK1,2)) | ~spl8_6), 63.70/9.52 inference(evaluation,[],[f480])). 63.70/9.52 tff(f480,plain,( 63.70/9.52 sK1 = $sum($product(2,sF3),mod(sK1,2)) | 0 = 2 | ~spl8_6), 63.70/9.52 inference(superposition,[],[f130,f216])). 63.70/9.52 tff(f903,plain,( 63.70/9.52 ~spl8_41 | ~spl8_6), 63.70/9.52 inference(avatar_split_clause,[],[f462,f214,f900])). 63.70/9.52 tff(f462,plain,( 63.70/9.52 ~$less(abs(sK1),abs($product(sF3,2))) | ~spl8_6), 63.70/9.52 inference(evaluation,[],[f458])). 63.70/9.52 tff(f458,plain,( 63.70/9.52 ~$less(abs(sK1),abs($product(sF3,2))) | 0 = 2 | ~spl8_6), 63.70/9.52 inference(superposition,[],[f129,f216])). 63.70/9.52 tff(f898,plain,( 63.70/9.52 ~spl8_40 | ~spl8_27 | spl8_33), 63.70/9.52 inference(avatar_split_clause,[],[f786,f782,f730,f895])). 63.70/9.52 tff(f895,plain,( 63.70/9.52 spl8_40 <=> sK1 = sF7), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_40])])). 63.70/9.52 tff(f786,plain,( 63.70/9.52 sK1 != sF7 | (~spl8_27 | spl8_33)), 63.70/9.52 inference(constrained_resolution,[],[f784,f732])). 63.70/9.52 tff(f848,plain,( 63.70/9.52 spl8_39 | ~spl8_6 | ~spl8_10 | ~spl8_16), 63.70/9.52 inference(avatar_split_clause,[],[f808,f306,f234,f214,f845])). 63.70/9.52 tff(f808,plain,( 63.70/9.52 sK1 = $product(2,sF3) | (~spl8_6 | ~spl8_10 | ~spl8_16)), 63.70/9.52 inference(evaluation,[],[f801])). 63.70/9.52 tff(f801,plain,( 63.70/9.52 sK1 = $sum($product(2,sF3),0) | (~spl8_6 | ~spl8_10 | ~spl8_16)), 63.70/9.52 inference(backward_demodulation,[],[f492,f307])). 63.70/9.52 tff(f307,plain,( 63.70/9.52 0 = sF7 | ~spl8_16), 63.70/9.52 inference(avatar_component_clause,[],[f306])). 63.70/9.52 tff(f843,plain,( 63.70/9.52 spl8_38 | ~spl8_16 | ~spl8_25), 63.70/9.52 inference(avatar_split_clause,[],[f803,f720,f306,f840])). 63.70/9.52 tff(f840,plain,( 63.70/9.52 spl8_38 <=> $less($uminus(abs(2)),0)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_38])])). 63.70/9.52 tff(f803,plain,( 63.70/9.52 $less($uminus(abs(2)),0) | (~spl8_16 | ~spl8_25)), 63.70/9.52 inference(backward_demodulation,[],[f722,f307])). 63.70/9.52 tff(f833,plain,( 63.70/9.52 spl8_37 | ~spl8_16 | ~spl8_20), 63.70/9.52 inference(avatar_split_clause,[],[f797,f354,f306,f830])). 63.70/9.52 tff(f797,plain,( 63.70/9.52 $less(0,abs(2)) | (~spl8_16 | ~spl8_20)), 63.70/9.52 inference(backward_demodulation,[],[f356,f307])). 63.70/9.52 tff(f813,plain,( 63.70/9.52 spl8_36 | ~spl8_10 | ~spl8_16), 63.70/9.52 inference(avatar_split_clause,[],[f796,f306,f234,f810])). 63.70/9.52 tff(f796,plain,( 63.70/9.52 0 = mod(sK1,2) | (~spl8_10 | ~spl8_16)), 63.70/9.52 inference(backward_demodulation,[],[f236,f307])). 63.70/9.52 tff(f795,plain,( 63.70/9.52 spl8_34 | ~spl8_35 | ~spl8_10), 63.70/9.52 inference(avatar_split_clause,[],[f351,f234,f792,f788])). 63.70/9.52 tff(f351,plain,( 63.70/9.52 ~$less(0,sF7) | $less(0,sK1) | ~spl8_10), 63.70/9.52 inference(evaluation,[],[f350])). 63.70/9.52 tff(f350,plain,( 63.70/9.52 ~$less(0,sF7) | 0 = 2 | $less(0,sK1) | ~spl8_10), 63.70/9.52 inference(superposition,[],[f135,f236])). 63.70/9.52 tff(f785,plain,( 63.70/9.52 ~spl8_33 | ~spl8_6 | spl8_31), 63.70/9.52 inference(avatar_split_clause,[],[f778,f770,f214,f782])). 63.70/9.52 tff(f778,plain,( 63.70/9.52 ~$less(sK1,2) | (~spl8_6 | spl8_31)), 63.70/9.52 inference(subsumption_resolution,[],[f429,f772])). 63.70/9.52 tff(f429,plain,( 63.70/9.52 0 = sF3 | ~$less(sK1,2) | ~spl8_6), 63.70/9.52 inference(global_subsumption,[],[f107,f421])). 63.70/9.52 tff(f421,plain,( 63.70/9.52 0 = sF3 | $less(sK1,0) | ~$less(sK1,2) | ~spl8_6), 63.70/9.52 inference(superposition,[],[f142,f216])). 63.70/9.52 tff(f777,plain,( 63.70/9.52 ~spl8_31 | spl8_32 | ~spl8_7), 63.70/9.52 inference(avatar_split_clause,[],[f246,f219,f774,f770])). 63.70/9.52 tff(f246,plain,( 63.70/9.52 1 = sF4 | 0 != sF3 | ~spl8_7), 63.70/9.52 inference(constrained_superposition,[],[f221,f122])). 63.70/9.52 tff(f766,plain,( 63.70/9.52 ~spl8_29 | spl8_30 | ~spl8_7), 63.70/9.52 inference(avatar_split_clause,[],[f245,f219,f763,f759])). 63.70/9.52 tff(f245,plain,( 63.70/9.52 sK0 = sF4 | 1 != sF3 | ~spl8_7), 63.70/9.52 inference(constrained_superposition,[],[f221,f125])). 63.70/9.52 tff(f757,plain,( 63.70/9.52 spl8_28 | ~spl8_25), 63.70/9.52 inference(avatar_split_clause,[],[f738,f720,f754])). 63.70/9.52 tff(f738,plain,( 63.70/9.52 $less(-2,sF7) | ~spl8_25), 63.70/9.52 inference(evaluation,[],[f736])). 63.70/9.52 tff(f736,plain,( 63.70/9.52 $less($uminus(2),sF7) | $less(2,0) | ~spl8_25), 63.70/9.52 inference(superposition,[],[f722,f126])). 63.70/9.52 tff(f733,plain,( 63.70/9.52 spl8_27 | ~spl8_20), 63.70/9.52 inference(avatar_split_clause,[],[f718,f354,f730])). 63.70/9.52 tff(f718,plain,( 63.70/9.52 $less(sF7,2) | ~spl8_20), 63.70/9.52 inference(evaluation,[],[f717])). 63.70/9.52 tff(f717,plain,( 63.70/9.52 $less(sF7,2) | $less(2,0) | ~spl8_20), 63.70/9.52 inference(superposition,[],[f356,f126])). 63.70/9.52 tff(f728,plain,( 63.70/9.52 spl8_26), 63.70/9.52 inference(avatar_split_clause,[],[f335,f725])). 63.70/9.52 tff(f335,plain,( 63.70/9.52 $less($uminus(abs(1)),0)), 63.70/9.52 inference(evaluation,[],[f332])). 63.70/9.52 tff(f332,plain,( 63.70/9.52 $less($uminus(abs(1)),0) | 0 = 1), 63.70/9.52 inference(superposition,[],[f131,f123])). 63.70/9.52 tff(f723,plain,( 63.70/9.52 spl8_25 | ~spl8_10), 63.70/9.52 inference(avatar_split_clause,[],[f334,f234,f720])). 63.70/9.52 tff(f334,plain,( 63.70/9.52 $less($uminus(abs(2)),sF7) | ~spl8_10), 63.70/9.52 inference(evaluation,[],[f333])). 63.70/9.52 tff(f333,plain,( 63.70/9.52 $less($uminus(abs(2)),sF7) | 0 = 2 | ~spl8_10), 63.70/9.52 inference(superposition,[],[f131,f236])). 63.70/9.52 tff(f498,plain,( 63.70/9.52 ~spl8_24 | ~spl8_17 | spl8_22), 63.70/9.52 inference(avatar_split_clause,[],[f469,f431,f310,f495])). 63.70/9.52 tff(f495,plain,( 63.70/9.52 spl8_24 <=> sK1 = sF3), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_24])])). 63.70/9.52 tff(f431,plain,( 63.70/9.52 spl8_22 <=> $less(sK1,sF3)), 63.70/9.52 introduced(avatar_definition,[new_symbols(naming,[spl8_22])])). 63.70/9.52 tff(f469,plain,( 63.70/9.52 sK1 != sF3 | (~spl8_17 | spl8_22)), 63.70/9.52 inference(duplicate_literal_removal,[],[f465])). 63.70/9.52 tff(f465,plain,( 63.70/9.52 sK1 != sF3 | sK1 != sF3 | (~spl8_17 | spl8_22)), 63.70/9.52 inference(constrained_resolution,[],[f433,f311])). 63.70/9.52 tff(f433,plain,( 63.70/9.52 ~$less(sK1,sF3) | spl8_22), 63.70/9.52 inference(avatar_component_clause,[],[f431])). 63.70/9.52 tff(f441,plain,( 63.70/9.52 ~spl8_23 | spl8_3 | spl8_14 | spl8_16 | ~spl8_17), 63.70/9.52 inference(avatar_split_clause,[],[f436,f310,f306,f298,f190,f438])). 63.70/9.52 tff(f436,plain,( 63.70/9.52 sF2 != sF6 | (spl8_3 | spl8_14 | spl8_16 | ~spl8_17)), 63.70/9.52 inference(subsumption_resolution,[],[f435,f311])). 63.70/9.52 tff(f435,plain,( 63.70/9.52 ~$less(sF3,sK1) | sF2 != sF6 | (spl8_3 | spl8_14 | spl8_16)), 63.70/9.52 inference(global_subsumption,[],[f308,f299,f199])). 63.70/9.52 tff(f199,plain,( 63.70/9.52 ~$less(sF3,sK1) | sF2 != sF6 | 0 = sF7 | $less(sF3,0) | spl8_3), 63.70/9.52 inference(subsumption_resolution,[],[f172,f192])). 63.70/9.52 tff(f172,plain,( 63.70/9.52 0 = sK1 | ~$less(sF3,sK1) | sF2 != sF6 | 0 = sF7 | $less(sF3,0)), 63.70/9.52 inference(subsumption_resolution,[],[f167,f107])). 63.70/9.52 tff(f167,plain,( 63.70/9.52 0 = sK1 | ~$less(sF3,sK1) | sF2 != sF6 | 0 = sF7 | $less(sF3,0) | $less(sK1,0)), 63.70/9.52 inference(definition_folding,[],[f111,f156,f161,f159,f158,f157,f156,f157,f156,f155,f156])). 63.70/9.52 tff(f155,plain,( 63.70/9.52 power(sK0,sK1) = sF2), 63.70/9.52 introduced(function_definition,[])). 63.70/9.52 tff(f157,plain,( 63.70/9.52 power(sK0,sF3) = sF4), 63.70/9.52 introduced(function_definition,[])). 63.70/9.52 tff(f158,plain,( 63.70/9.52 $product(sF4,sF4) = sF5), 63.70/9.52 introduced(function_definition,[])). 63.70/9.52 tff(f159,plain,( 63.70/9.52 $product(sF5,sK0) = sF6), 63.70/9.52 introduced(function_definition,[])). 63.70/9.52 tff(f161,plain,( 63.70/9.52 mod(sK1,2) = sF7), 63.70/9.52 introduced(function_definition,[])). 63.70/9.52 tff(f156,plain,( 63.70/9.52 div(sK1,2) = sF3), 63.70/9.52 introduced(function_definition,[])). 63.70/9.52 tff(f111,plain,( 63.70/9.52 0 = sK1 | ~$less(div(sK1,2),sK1) | power(sK0,sK1) != $product($product(power(sK0,div(sK1,2)),power(sK0,div(sK1,2))),sK0) | 0 = mod(sK1,2) | $less(div(sK1,2),0) | $less(sK1,0)), 63.70/9.52 inference(cnf_transformation,[],[f104])). 63.70/9.52 tff(f434,plain,( 63.70/9.52 ~spl8_22 | ~spl8_6), 63.70/9.52 inference(avatar_split_clause,[],[f417,f214,f431])). 63.70/9.52 tff(f417,plain,( 63.70/9.52 ~$less(sK1,sF3) | ~spl8_6), 63.70/9.52 inference(global_subsumption,[],[f107,f413])). 63.70/9.52 tff(f413,plain,( 63.70/9.52 ~$less(sK1,sF3) | $less(sK1,0) | ~spl8_6), 63.70/9.52 inference(evaluation,[],[f412])). 63.70/9.52 tff(f412,plain,( 63.70/9.52 ~$less(sK1,sF3) | ~$less(0,2) | $less(sK1,0) | ~spl8_6), 63.70/9.52 inference(superposition,[],[f140,f216])). 63.70/9.52 tff(f140,plain,( 63.70/9.52 ( ! [X0 : $int,X1 : $int] : (~$less(X0,div(X0,X1)) | ~$less(0,X1) | $less(X0,0)) )), 63.70/9.52 inference(cnf_transformation,[],[f87])). 63.70/9.52 tff(f87,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ((~$less(div(X0,X1),0) & ~$less(X0,div(X0,X1))) | ~$less(0,X1) | $less(X0,0))), 63.70/9.52 inference(flattening,[],[f86])). 63.70/9.52 tff(f86,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : ((~$less(div(X0,X1),0) & ~$less(X0,div(X0,X1))) | (~$less(0,X1) | $less(X0,0)))), 63.70/9.52 inference(ennf_transformation,[],[f46])). 63.70/9.52 tff(f46,plain,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(X0,0)) => (~$less(div(X0,X1),0) & ~$less(X0,div(X0,X1))))), 63.70/9.52 inference(theory_normalization,[],[f15])). 63.70/9.52 tff(f15,axiom,( 63.70/9.52 ! [X0 : $int,X1 : $int] : (($less(0,X1) & $lesseq(0,X0)) => ($lesseq(0,div(X0,X1)) & $lesseq(div(X0,X1),X0)))), 63.70/9.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',div_bound)). 63.70/9.52 tff(f381,plain,( 63.70/9.52 ~spl8_21 | ~spl8_10), 63.70/9.52 inference(avatar_split_clause,[],[f376,f234,f378])). 63.70/9.52 tff(f357,plain,( 63.70/9.52 spl8_20 | ~spl8_10), 63.70/9.52 inference(avatar_split_clause,[],[f290,f234,f354])). 63.70/9.52 tff(f290,plain,( 63.70/9.52 $less(sF7,abs(2)) | ~spl8_10), 63.70/9.52 inference(evaluation,[],[f288])). 63.70/9.52 tff(f288,plain,( 63.70/9.52 $less(sF7,abs(2)) | 0 = 2 | ~spl8_10), 63.70/9.52 inference(superposition,[],[f132,f236])). 63.70/9.52 tff(f342,plain,( 63.70/9.52 spl8_19), 63.70/9.52 inference(avatar_split_clause,[],[f277,f339])). 63.70/9.52 tff(f277,plain,( 63.70/9.52 1 = abs(-1)), 63.70/9.52 inference(evaluation,[],[f276])). 63.70/9.52 tff(f276,plain,( 63.70/9.52 abs(-1) = $uminus(-1)), 63.70/9.52 inference(interpreted_simplification,[],[f275])). 63.70/9.52 tff(f275,plain,( 63.70/9.52 abs(-1) = $uminus(-1) | ~$less(-1,0)), 63.70/9.52 inference(instantiation,[],[f127])). 63.70/9.52 tff(f324,plain,( 63.70/9.52 spl8_18), 63.70/9.52 inference(avatar_split_clause,[],[f270,f321])). 63.70/9.52 tff(f270,plain,( 63.70/9.52 $less(0,abs(1))), 63.70/9.52 inference(interpreted_simplification,[],[f269])). 63.70/9.52 tff(f269,plain,( 63.70/9.52 $less(0,abs(1)) | ~$less(0,1)), 63.70/9.52 inference(instantiation,[],[f145])). 63.70/9.52 tff(f313,plain,( 63.70/9.52 spl8_14 | ~spl8_15 | ~spl8_16 | ~spl8_17 | spl8_3), 63.70/9.52 inference(avatar_split_clause,[],[f198,f190,f310,f306,f302,f298])). 63.70/9.52 tff(f198,plain,( 63.70/9.52 ~$less(sF3,sK1) | 0 != sF7 | sF2 != sF5 | $less(sF3,0) | spl8_3), 63.70/9.53 inference(subsumption_resolution,[],[f171,f192])). 63.70/9.53 tff(f171,plain,( 63.70/9.53 0 = sK1 | ~$less(sF3,sK1) | 0 != sF7 | sF2 != sF5 | $less(sF3,0)), 63.70/9.53 inference(subsumption_resolution,[],[f168,f107])). 63.70/9.53 tff(f168,plain,( 63.70/9.53 0 = sK1 | ~$less(sF3,sK1) | 0 != sF7 | sF2 != sF5 | $less(sF3,0) | $less(sK1,0)), 63.70/9.53 inference(definition_folding,[],[f110,f156,f158,f157,f156,f157,f156,f155,f161,f156])). 63.70/9.53 tff(f110,plain,( 63.70/9.53 0 = sK1 | ~$less(div(sK1,2),sK1) | 0 != mod(sK1,2) | power(sK0,sK1) != $product(power(sK0,div(sK1,2)),power(sK0,div(sK1,2))) | $less(div(sK1,2),0) | $less(sK1,0)), 63.70/9.53 inference(cnf_transformation,[],[f104])). 63.70/9.53 tff(f296,plain,( 63.70/9.53 spl8_13), 63.70/9.53 inference(avatar_split_clause,[],[f267,f293])). 63.70/9.53 tff(f265,plain,( 63.70/9.53 ~spl8_11 | spl8_12 | ~spl8_5), 63.70/9.53 inference(avatar_split_clause,[],[f238,f209,f262,f258])). 63.70/9.53 tff(f238,plain,( 63.70/9.53 sK0 = sF2 | 1 != sK1 | ~spl8_5), 63.70/9.53 inference(constrained_superposition,[],[f211,f125])). 63.70/9.53 tff(f237,plain,( 63.70/9.53 spl8_10), 63.70/9.53 inference(avatar_split_clause,[],[f161,f234])). 63.70/9.53 tff(f232,plain,( 63.70/9.53 spl8_9), 63.70/9.53 inference(avatar_split_clause,[],[f159,f229])). 63.70/9.53 tff(f227,plain,( 63.70/9.53 spl8_8), 63.70/9.53 inference(avatar_split_clause,[],[f158,f224])). 63.70/9.53 tff(f222,plain,( 63.70/9.53 spl8_7), 63.70/9.53 inference(avatar_split_clause,[],[f157,f219])). 63.70/9.53 tff(f217,plain,( 63.70/9.53 spl8_6), 63.70/9.53 inference(avatar_split_clause,[],[f156,f214])). 63.70/9.53 tff(f212,plain,( 63.70/9.53 spl8_5), 63.70/9.53 inference(avatar_split_clause,[],[f155,f209])). 63.70/9.53 tff(f197,plain,( 63.70/9.53 ~spl8_3 | ~spl8_4), 63.70/9.53 inference(avatar_split_clause,[],[f165,f194,f190])). 63.70/9.53 tff(f165,plain,( 63.70/9.53 1 != sF2 | 0 != sK1), 63.70/9.53 inference(definition_folding,[],[f113,f155])). 63.70/9.53 tff(f113,plain,( 63.70/9.53 1 != power(sK0,sK1) | 0 != sK1), 63.70/9.53 inference(cnf_transformation,[],[f104])). 63.70/9.53 tff(f186,plain,( 63.70/9.53 ~spl8_2), 63.70/9.53 inference(avatar_split_clause,[],[f118,f183])). 63.70/9.53 tff(f183,plain,( 63.70/9.53 spl8_2 <=> true = false), 63.70/9.53 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])). 63.70/9.53 tff(f118,plain,( 63.70/9.53 true != false), 63.70/9.53 inference(cnf_transformation,[],[f5])). 63.70/9.53 tff(f5,axiom,( 63.70/9.53 true != false), 63.70/9.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False)). 63.70/9.53 tff(f181,plain,( 63.70/9.53 ~spl8_1), 63.70/9.53 inference(avatar_split_clause,[],[f107,f178])). 63.70/9.53 % SZS output end Proof for theBenchmark 63.70/9.53 % (19346)------------------------------ 63.70/9.53 % (19346)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 63.70/9.53 % (19346)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 63.70/9.53 % (19346)Termination reason: Refutation 63.70/9.53 63.70/9.53 % (19346)Memory used [KB]: 98505 63.70/9.53 % (19346)Time elapsed: 9.065 s 63.70/9.53 % (19346)------------------------------ 63.70/9.53 % (19346)------------------------------ 63.70/9.53 % (19341)Success in time 9.108 s 63.70/9.53 19345 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p 63.70/9.53 % (19345)------------------------------ 63.70/9.53 % (19345)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 63.70/9.53 % (19345)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 63.70/9.53 % (19345)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 63.70/9.53 63.70/9.53 % (19345)Memory used [KB]: 108612 63.70/9.53 % (19345)Time elapsed: 9.127 s 63.70/9.53 % (19345)------------------------------ 63.70/9.53 % (19345)------------------------------ 63.70/9.53 % Vampire---4.8 exiting 63.70/9.53 19344 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p 63.70/9.53 % (19344)------------------------------ 63.70/9.53 % (19344)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100) 63.70/9.53 % (19344)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44 63.70/9.53 % (19344)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown 63.70/9.53 63.70/9.53 % (19344)Memory used [KB]: 34541 63.70/9.53 % (19344)Time elapsed: 9.109 s 63.70/9.53 % (19344)------------------------------ 63.70/9.53 % (19344)------------------------------ 63.70/9.56 EOF