0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : vampire --mode casc -t %d %s 0.13/0.34 % Computer : n021.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % DateTime : Thu Jul 2 07:04:22 EDT 2020 0.13/0.34 % CPUTime : 0.20/0.41 % dis+11_4_afp=100000:afq=1.1:anc=none:cond=on:gs=on:gsaa=full_model:nm=64:nwc=1:sac=on:sp=reverse_arity:thi=all_2 on theBenchmark 0.74/0.91 % Time limit reached! 0.74/0.91 % ------------------------------ 0.74/0.91 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.74/0.91 % Termination reason: Time limit 0.74/0.91 % Termination phase: Saturation 0.74/0.91 0.74/0.91 % Memory used [KB]: 9722 0.74/0.91 % Time elapsed: 0.500 s 0.74/0.91 % ------------------------------ 0.74/0.91 % ------------------------------ 0.75/0.97 % ott+1010_2:1_awrs=decay:awrsf=512:acc=on:add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:ccuc=first:fsr=off:fde=unused:gsp=input_only:gs=on:gsaa=from_current:irw=on:nm=32:newcnf=on:nwc=1:sos=theory:sp=occurrence:tha=some:uwa=interpreted_only:updr=off_8 on theBenchmark 1.97/2.17 % Time limit reached! 1.97/2.17 % ------------------------------ 1.97/2.17 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.97/2.17 % Termination reason: Time limit 1.97/2.17 % Termination phase: Saturation 1.97/2.17 1.97/2.17 % Memory used [KB]: 17910 1.97/2.17 % Time elapsed: 1.200 s 1.97/2.17 % ------------------------------ 1.97/2.17 % ------------------------------ 1.97/2.20 % lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_2 on theBenchmark 2.26/2.42 % Refutation found. Thanks to Tanya! 2.26/2.42 % SZS status Theorem for theBenchmark 2.26/2.42 % SZS output start Proof for theBenchmark 2.26/2.42 tff(func_def_0, type, f: $int > $int). 2.26/2.42 tff(f15652,plain,( 2.26/2.42 $false), 2.26/2.42 inference(avatar_sat_refutation,[],[f28,f32,f36,f40,f44,f48,f57,f66,f75,f84,f93,f102,f114,f115,f128,f129,f141,f142,f162,f163,f1808,f1811,f1815,f1819,f1824,f1828,f5078,f5084,f5088,f5098,f5102,f5103,f5107,f5112,f5116,f5143,f5148,f5149,f5153,f5160,f5161,f7955,f8333,f8337,f8338,f8345,f8349,f8353,f8357,f8361,f8365,f8379,f8384,f8385,f8389,f8396,f8397,f8401,f8406,f8412,f8415,f8421,f8425,f8428,f8432,f8436,f8442,f8447,f8448,f8452,f8456,f8457,f8458,f8459,f8463,f8464,f8468,f8472,f8476,f8477,f8480,f8481,f8486,f8487,f8488,f8492,f8493,f8494,f8495,f8499,f8500,f8504,f8505,f8506,f8507,f8508,f8512,f8516,f8520,f8521,f8525,f8526,f8530,f8533,f8537,f8538,f8542,f8543,f8546,f8547,f8548,f8549,f8550,f8551,f8552,f8563,f8564,f8572,f8573,f8604,f8605,f8613,f8614,f8662,f8771,f8792,f8813,f8879,f8883,f8884,f9047,f9337,f9341,f9345,f9349,f9350,f9351,f9352,f9353,f9357,f9371,f9372,f9376,f9380,f9384,f9385,f9389,f9393,f9397,f9398,f9402,f9404,f9406,f9407,f9408,f9412,f9413,f9414,f9415,f9419,f9420,f9421,f9422,f9423,f9424,f9425,f9426,f9438,f9445,f9450,f9453,f15651])). 2.26/2.42 tff(f15651,plain,( 2.26/2.42 ~spl0_68 | ~spl0_94), 2.26/2.42 inference(avatar_contradiction_clause,[],[f15650])). 2.26/2.42 tff(f15650,plain,( 2.26/2.42 $false | (~spl0_68 | ~spl0_94)), 2.26/2.42 inference(evaluation,[],[f15649])). 2.26/2.42 tff(f15649,plain,( 2.26/2.42 3 = 4 | (~spl0_68 | ~spl0_94)), 2.26/2.42 inference(trivial_inequality_removal,[],[f15646])). 2.26/2.42 tff(f15646,plain,( 2.26/2.42 7 != 7 | 3 = 4 | (~spl0_68 | ~spl0_94)), 2.26/2.42 inference(superposition,[],[f5195,f8392])). 2.26/2.42 tff(f8392,plain,( 2.26/2.42 f(4) = 7 | ~spl0_94), 2.26/2.42 inference(avatar_component_clause,[],[f8391])). 2.26/2.42 tff(f8391,plain,( 2.26/2.42 spl0_94 <=> f(4) = 7), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_94])])). 2.26/2.42 tff(f5195,plain,( 2.26/2.42 ( ! [X7:$int] : (f(X7) != 7 | 3 = X7) ) | ~spl0_68), 2.26/2.42 inference(superposition,[],[f18,f5156])). 2.26/2.42 tff(f5156,plain,( 2.26/2.42 f(3) = 7 | ~spl0_68), 2.26/2.42 inference(avatar_component_clause,[],[f5155])). 2.26/2.42 tff(f5155,plain,( 2.26/2.42 spl0_68 <=> f(3) = 7), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_68])])). 2.26/2.42 tff(f18,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : (f(X0) != f(X1) | X0 = X1) )), 2.26/2.42 inference(cnf_transformation,[],[f17])). 2.26/2.42 tff(f17,plain,( 2.26/2.42 $less(6,f(5)) & $less(f(5),9) & $less(f(4),9) & $less(6,f(4)) & $less(f(3),9) & $less(6,f(3)) & ! [X0 : $int,X1 : $int] : (X0 = X1 | f(X0) != f(X1))), 2.26/2.42 inference(flattening,[],[f16])). 2.26/2.42 tff(f16,plain,( 2.26/2.42 ($less(6,f(5)) & $less(f(5),9)) & ($less(f(4),9) & $less(6,f(4)) & $less(f(3),9) & $less(6,f(3)) & ! [X0 : $int,X1 : $int] : (X0 = X1 | f(X0) != f(X1)))), 2.26/2.42 inference(ennf_transformation,[],[f3])). 2.26/2.42 tff(f3,plain,( 2.26/2.42 ~(($less(f(4),9) & $less(6,f(4)) & $less(f(3),9) & $less(6,f(3)) & ! [X0 : $int,X1 : $int] : (f(X0) = f(X1) => X0 = X1)) => (~$less(6,f(5)) | ~$less(f(5),9)))), 2.26/2.42 inference(evaluation,[],[f2])). 2.26/2.42 tff(f2,negated_conjecture,( 2.26/2.42 ~(($less(f(4),9) & $less(6,f(4)) & $less(f(3),9) & $less(6,f(3)) & ! [X0 : $int,X1 : $int] : (f(X0) = f(X1) => X0 = X1)) => ($lesseq(f(5),6) | $lesseq(9,f(5))))), 2.26/2.42 inference(negated_conjecture,[],[f1])). 2.26/2.42 tff(f1,conjecture,( 2.26/2.42 ($less(f(4),9) & $less(6,f(4)) & $less(f(3),9) & $less(6,f(3)) & ! [X0 : $int,X1 : $int] : (f(X0) = f(X1) => X0 = X1)) => ($lesseq(f(5),6) | $lesseq(9,f(5)))), 2.26/2.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective_f_pigeonhole)). 2.26/2.42 tff(f9453,plain,( 2.26/2.42 spl0_186 | ~spl0_0 | ~spl0_2 | ~spl0_28), 2.26/2.42 inference(avatar_split_clause,[],[f9192,f123,f30,f26,f9448])). 2.26/2.42 tff(f9448,plain,( 2.26/2.42 spl0_186 <=> $less(-1,f(5))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_186])])). 2.26/2.42 tff(f26,plain,( 2.26/2.42 spl0_0 <=> $less(6,f(5))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_0])])). 2.26/2.42 tff(f30,plain,( 2.26/2.42 spl0_2 <=> $less(f(5),9)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 2.26/2.42 tff(f123,plain,( 2.26/2.42 spl0_28 <=> f(5) = 8), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])). 2.26/2.42 tff(f9192,plain,( 2.26/2.42 $less(-1,f(5)) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1757])). 2.26/2.42 tff(f1757,plain,( 2.26/2.42 $less(-1,f(5)) | ~$less(1,6) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(resolution,[],[f1198,f49])). 2.26/2.42 tff(f49,plain,( 2.26/2.42 ( ! [X0:$int] : ($less(X0,f(5)) | ~$less(X0,6)) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f27,f10])). 2.26/2.42 tff(f10,plain,( 2.26/2.42 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 2.26/2.42 introduced(theory_axiom,[])). 2.26/2.42 tff(f27,plain,( 2.26/2.42 $less(6,f(5)) | ~spl0_0), 2.26/2.42 inference(avatar_component_clause,[],[f26])). 2.26/2.42 tff(f1198,plain,( 2.26/2.42 ( ! [X10:$int] : (~$less(1,X10) | $less(-1,X10)) ) | (~spl0_2 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1197])). 2.26/2.42 tff(f1197,plain,( 2.26/2.42 ( ! [X10:$int] : ($less(8,$sum(9,X10)) | ~$less(1,X10)) ) | (~spl0_2 | ~spl0_28)), 2.26/2.42 inference(forward_demodulation,[],[f1195,f124])). 2.26/2.42 tff(f124,plain,( 2.26/2.42 f(5) = 8 | ~spl0_28), 2.26/2.42 inference(avatar_component_clause,[],[f123])). 2.26/2.42 tff(f1195,plain,( 2.26/2.42 ( ! [X10:$int] : ($less(f(5),$sum(9,X10)) | ~$less(1,X10)) ) | (~spl0_2 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1168])). 2.26/2.42 tff(f1168,plain,( 2.26/2.42 ( ! [X10:$int] : ($less(f(5),$sum(9,X10)) | ~$less(9,$sum(8,X10))) ) | (~spl0_2 | ~spl0_28)), 2.26/2.42 inference(resolution,[],[f442,f59])). 2.26/2.42 tff(f59,plain,( 2.26/2.42 ( ! [X1:$int] : ($less(f(5),X1) | ~$less(9,X1)) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f31,f10])). 2.26/2.42 tff(f31,plain,( 2.26/2.42 $less(f(5),9) | ~spl0_2), 2.26/2.42 inference(avatar_component_clause,[],[f30])). 2.26/2.42 tff(f442,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : (~$less(X0,$sum(8,X1)) | $less(X0,$sum(9,X1))) ) | (~spl0_2 | ~spl0_28)), 2.26/2.42 inference(forward_demodulation,[],[f424,f124])). 2.26/2.42 tff(f424,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : (~$less(X0,$sum(f(5),X1)) | $less(X0,$sum(9,X1))) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f60,f10])). 2.26/2.42 tff(f60,plain,( 2.26/2.42 ( ! [X2:$int] : ($less($sum(f(5),X2),$sum(9,X2))) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f31,f12])). 2.26/2.42 tff(f12,plain,( 2.26/2.42 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )), 2.26/2.42 introduced(theory_axiom,[])). 2.26/2.42 tff(f9450,plain,( 2.26/2.42 spl0_186 | ~spl0_0 | ~spl0_2 | ~spl0_28), 2.26/2.42 inference(avatar_split_clause,[],[f9221,f123,f30,f26,f9448])). 2.26/2.42 tff(f9221,plain,( 2.26/2.42 $less(-1,f(5)) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1773])). 2.26/2.42 tff(f1773,plain,( 2.26/2.42 $less(-1,f(5)) | ~$less(0,6) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(resolution,[],[f1229,f49])). 2.26/2.42 tff(f1229,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less(-1,X5)) ) | (~spl0_2 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1228])). 2.26/2.42 tff(f1228,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less($sum(8,$uminus(9)),X5)) ) | (~spl0_2 | ~spl0_28)), 2.26/2.42 inference(superposition,[],[f443,f8])). 2.26/2.42 tff(f8,plain,( 2.26/2.42 ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )), 2.26/2.42 introduced(theory_axiom,[])). 2.26/2.42 tff(f443,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : (~$less($sum(9,X2),X3) | $less($sum(8,X2),X3)) ) | (~spl0_2 | ~spl0_28)), 2.26/2.42 inference(forward_demodulation,[],[f425,f124])). 2.26/2.42 tff(f425,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : ($less($sum(f(5),X2),X3) | ~$less($sum(9,X2),X3)) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f60,f10])). 2.26/2.42 tff(f9445,plain,( 2.26/2.42 spl0_184 | ~spl0_0 | ~spl0_2 | ~spl0_28), 2.26/2.42 inference(avatar_split_clause,[],[f9225,f123,f30,f26,f9443])). 2.26/2.42 tff(f9443,plain,( 2.26/2.42 spl0_184 <=> $less(0,f(5))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_184])])). 2.26/2.42 tff(f9225,plain,( 2.26/2.42 $less(0,f(5)) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1562])). 2.26/2.42 tff(f1562,plain,( 2.26/2.42 $less(0,f(5)) | ~$less(3,6) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(resolution,[],[f1128,f49])). 2.26/2.42 tff(f1128,plain,( 2.26/2.42 ( ! [X10:$int] : (~$less(3,X10) | $less(0,X10)) ) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1127])). 2.26/2.42 tff(f1127,plain,( 2.26/2.42 ( ! [X10:$int] : ($less(8,$sum(8,X10)) | ~$less(3,X10)) ) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(forward_demodulation,[],[f1125,f124])). 2.26/2.42 tff(f1125,plain,( 2.26/2.42 ( ! [X10:$int] : ($less(f(5),$sum(8,X10)) | ~$less(3,X10)) ) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1100])). 2.26/2.42 tff(f1100,plain,( 2.26/2.42 ( ! [X10:$int] : ($less(f(5),$sum(8,X10)) | ~$less(9,$sum(6,X10))) ) | (~spl0_0 | ~spl0_2 | ~spl0_28)), 2.26/2.42 inference(resolution,[],[f412,f59])). 2.26/2.42 tff(f412,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : (~$less(X0,$sum(6,X1)) | $less(X0,$sum(8,X1))) ) | (~spl0_0 | ~spl0_28)), 2.26/2.42 inference(forward_demodulation,[],[f393,f124])). 2.26/2.42 tff(f393,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : ($less(X0,$sum(f(5),X1)) | ~$less(X0,$sum(6,X1))) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f51,f10])). 2.26/2.42 tff(f51,plain,( 2.26/2.42 ( ! [X2:$int] : ($less($sum(6,X2),$sum(f(5),X2))) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f27,f12])). 2.26/2.42 tff(f9438,plain,( 2.26/2.42 spl0_182 | ~spl0_0 | ~spl0_28), 2.26/2.42 inference(avatar_split_clause,[],[f9231,f123,f26,f9436])). 2.26/2.42 tff(f9436,plain,( 2.26/2.42 spl0_182 <=> $less(-2,f(5))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_182])])). 2.26/2.42 tff(f9231,plain,( 2.26/2.42 $less(-2,f(5)) | (~spl0_0 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1578])). 2.26/2.42 tff(f1578,plain,( 2.26/2.42 $less(-2,f(5)) | ~$less(0,6) | (~spl0_0 | ~spl0_28)), 2.26/2.42 inference(resolution,[],[f1151,f49])). 2.26/2.42 tff(f1151,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less(-2,X5)) ) | (~spl0_0 | ~spl0_28)), 2.26/2.42 inference(evaluation,[],[f1150])). 2.26/2.42 tff(f1150,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less($sum(6,$uminus(8)),X5)) ) | (~spl0_0 | ~spl0_28)), 2.26/2.42 inference(superposition,[],[f413,f8])). 2.26/2.42 tff(f413,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : (~$less($sum(8,X2),X3) | $less($sum(6,X2),X3)) ) | (~spl0_0 | ~spl0_28)), 2.26/2.42 inference(forward_demodulation,[],[f394,f124])). 2.26/2.42 tff(f394,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : (~$less($sum(f(5),X2),X3) | $less($sum(6,X2),X3)) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f51,f10])). 2.26/2.42 tff(f9426,plain,( 2.26/2.42 spl0_178 | ~spl0_2 | ~spl0_8 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f9238,f5155,f42,f30,f9410])). 2.26/2.42 tff(f9410,plain,( 2.26/2.42 spl0_178 <=> $less(f(5),11)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_178])])). 2.26/2.42 tff(f42,plain,( 2.26/2.42 spl0_8 <=> $less(f(3),9)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 2.26/2.42 tff(f9238,plain,( 2.26/2.42 $less(f(5),11) | (~spl0_2 | ~spl0_8 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f5525])). 2.26/2.42 tff(f5525,plain,( 2.26/2.42 $less($sum(f(5),7),18) | (~spl0_2 | ~spl0_8 | ~spl0_68)), 2.26/2.42 inference(forward_demodulation,[],[f5524,f5156])). 2.26/2.42 tff(f5524,plain,( 2.26/2.42 $less($sum(f(5),f(3)),18) | (~spl0_2 | ~spl0_8)), 2.26/2.42 inference(forward_demodulation,[],[f5523,f4])). 2.26/2.42 tff(f4,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 2.26/2.42 introduced(theory_axiom,[])). 2.26/2.42 tff(f5523,plain,( 2.26/2.42 $less($sum(f(3),f(5)),18) | (~spl0_2 | ~spl0_8)), 2.26/2.42 inference(evaluation,[],[f5508])). 2.26/2.42 tff(f5508,plain,( 2.26/2.42 $less($sum(f(3),f(5)),$sum(9,9)) | (~spl0_2 | ~spl0_8)), 2.26/2.42 inference(resolution,[],[f537,f424])). 2.26/2.42 tff(f537,plain,( 2.26/2.42 ( ! [X1:$int] : ($less($sum(f(3),X1),$sum(X1,9))) ) | ~spl0_8), 2.26/2.42 inference(superposition,[],[f87,f4])). 2.26/2.42 tff(f87,plain,( 2.26/2.42 ( ! [X2:$int] : ($less($sum(f(3),X2),$sum(9,X2))) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f43,f12])). 2.26/2.42 tff(f43,plain,( 2.26/2.42 $less(f(3),9) | ~spl0_8), 2.26/2.42 inference(avatar_component_clause,[],[f42])). 2.26/2.42 tff(f9425,plain,( 2.26/2.42 spl0_178 | ~spl0_2 | ~spl0_8 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f5526,f5155,f42,f30,f9410])). 2.26/2.42 tff(f5526,plain,( 2.26/2.42 $less(f(5),11) | (~spl0_2 | ~spl0_8 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f5525])). 2.26/2.42 tff(f9424,plain,( 2.26/2.42 spl0_174 | ~spl0_0 | ~spl0_10 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f9240,f5155,f46,f26,f9395])). 2.26/2.42 tff(f9395,plain,( 2.26/2.42 spl0_174 <=> $less(5,f(5))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_174])])). 2.26/2.42 tff(f46,plain,( 2.26/2.42 spl0_10 <=> $less(6,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])). 2.26/2.42 tff(f9240,plain,( 2.26/2.42 $less(5,f(5)) | (~spl0_0 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f5560])). 2.26/2.42 tff(f5560,plain,( 2.26/2.42 $less(12,$sum(f(5),7)) | (~spl0_0 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(forward_demodulation,[],[f5559,f5156])). 2.26/2.42 tff(f5559,plain,( 2.26/2.42 $less(12,$sum(f(5),f(3))) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(forward_demodulation,[],[f5558,f4])). 2.26/2.42 tff(f5558,plain,( 2.26/2.42 $less(12,$sum(f(3),f(5))) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(evaluation,[],[f5540])). 2.26/2.42 tff(f5540,plain,( 2.26/2.42 $less($sum(6,6),$sum(f(3),f(5))) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(resolution,[],[f563,f394])). 2.26/2.42 tff(f563,plain,( 2.26/2.42 ( ! [X1:$int] : ($less($sum(X1,6),$sum(f(3),X1))) ) | ~spl0_10), 2.26/2.42 inference(superposition,[],[f96,f4])). 2.26/2.42 tff(f96,plain,( 2.26/2.42 ( ! [X2:$int] : ($less($sum(6,X2),$sum(f(3),X2))) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f47,f12])). 2.26/2.42 tff(f47,plain,( 2.26/2.42 $less(6,f(3)) | ~spl0_10), 2.26/2.42 inference(avatar_component_clause,[],[f46])). 2.26/2.42 tff(f9423,plain,( 2.26/2.42 spl0_174 | ~spl0_0 | ~spl0_10 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f5561,f5155,f46,f26,f9395])). 2.26/2.42 tff(f5561,plain,( 2.26/2.42 $less(5,f(5)) | (~spl0_0 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f5560])). 2.26/2.42 tff(f9422,plain,( 2.26/2.42 spl0_180 | ~spl0_2 | ~spl0_10 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f9241,f5155,f46,f30,f9417])). 2.26/2.42 tff(f9417,plain,( 2.26/2.42 spl0_180 <=> $less(f(5),10)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_180])])). 2.26/2.42 tff(f9241,plain,( 2.26/2.42 $less(f(5),10) | (~spl0_2 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f5588])). 2.26/2.42 tff(f5588,plain,( 2.26/2.42 $less($sum(6,f(5)),$sum(9,7)) | (~spl0_2 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(forward_demodulation,[],[f5572,f5156])). 2.26/2.42 tff(f5572,plain,( 2.26/2.42 $less($sum(6,f(5)),$sum(9,f(3))) | (~spl0_2 | ~spl0_10)), 2.26/2.42 inference(resolution,[],[f568,f424])). 2.26/2.42 tff(f568,plain,( 2.26/2.42 ( ! [X1:$int] : ($less($sum(6,X1),$sum(X1,f(3)))) ) | ~spl0_10), 2.26/2.42 inference(superposition,[],[f96,f4])). 2.26/2.42 tff(f9421,plain,( 2.26/2.42 spl0_180 | ~spl0_2 | ~spl0_10 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f5589,f5155,f46,f30,f9417])). 2.26/2.42 tff(f5589,plain,( 2.26/2.42 $less(f(5),10) | (~spl0_2 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f5588])). 2.26/2.42 tff(f9420,plain,( 2.26/2.42 spl0_180 | ~spl0_2 | ~spl0_10 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f9281,f5155,f46,f30,f9417])). 2.26/2.42 tff(f9281,plain,( 2.26/2.42 $less(f(5),10) | (~spl0_2 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f7638])). 2.26/2.42 tff(f7638,plain,( 2.26/2.42 $less($sum(6,f(5)),$sum(9,7)) | (~spl0_2 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(forward_demodulation,[],[f7602,f5156])). 2.26/2.42 tff(f7602,plain,( 2.26/2.42 $less($sum(6,f(5)),$sum(9,f(3))) | (~spl0_2 | ~spl0_10)), 2.26/2.42 inference(resolution,[],[f559,f430])). 2.26/2.42 tff(f430,plain,( 2.26/2.42 ( ! [X1:$int] : ($less($sum(X1,f(5)),$sum(9,X1))) ) | ~spl0_2), 2.26/2.42 inference(superposition,[],[f60,f4])). 2.26/2.42 tff(f559,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : (~$less($sum(f(3),X2),X3) | $less($sum(6,X2),X3)) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f96,f10])). 2.26/2.42 tff(f9419,plain,( 2.26/2.42 spl0_180 | ~spl0_2 | ~spl0_10 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f7639,f5155,f46,f30,f9417])). 2.26/2.42 tff(f7639,plain,( 2.26/2.42 $less(f(5),10) | (~spl0_2 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f7638])). 2.26/2.42 tff(f9415,plain,( 2.26/2.42 spl0_174 | ~spl0_0 | ~spl0_10 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f9284,f5155,f46,f26,f9395])). 2.26/2.42 tff(f9284,plain,( 2.26/2.42 $less(5,f(5)) | (~spl0_0 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f7641])). 2.26/2.42 tff(f7641,plain,( 2.26/2.42 $less(12,$sum(f(5),7)) | (~spl0_0 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(forward_demodulation,[],[f7636,f5156])). 2.26/2.42 tff(f7636,plain,( 2.26/2.42 $less(12,$sum(f(5),f(3))) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(evaluation,[],[f7604])). 2.26/2.42 tff(f7604,plain,( 2.26/2.42 $less($sum(6,6),$sum(f(5),f(3))) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(resolution,[],[f559,f398])). 2.26/2.42 tff(f398,plain,( 2.26/2.42 ( ! [X1:$int] : ($less($sum(X1,6),$sum(f(5),X1))) ) | ~spl0_0), 2.26/2.42 inference(superposition,[],[f51,f4])). 2.26/2.42 tff(f9414,plain,( 2.26/2.42 spl0_174 | ~spl0_0 | ~spl0_10 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f7642,f5155,f46,f26,f9395])). 2.26/2.42 tff(f7642,plain,( 2.26/2.42 $less(5,f(5)) | (~spl0_0 | ~spl0_10 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f7641])). 2.26/2.42 tff(f9413,plain,( 2.26/2.42 spl0_178 | ~spl0_2 | ~spl0_8 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f9302,f5155,f42,f30,f9410])). 2.26/2.42 tff(f9302,plain,( 2.26/2.42 $less(f(5),11) | (~spl0_2 | ~spl0_8 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f7193])). 2.26/2.42 tff(f7193,plain,( 2.26/2.42 $less($sum(f(5),7),18) | (~spl0_2 | ~spl0_8 | ~spl0_68)), 2.26/2.42 inference(forward_demodulation,[],[f7140,f5156])). 2.26/2.42 tff(f7140,plain,( 2.26/2.42 $less($sum(f(5),f(3)),18) | (~spl0_2 | ~spl0_8)), 2.26/2.42 inference(evaluation,[],[f7114])). 2.26/2.42 tff(f7114,plain,( 2.26/2.42 $less($sum(f(5),f(3)),$sum(9,9)) | (~spl0_2 | ~spl0_8)), 2.26/2.42 inference(resolution,[],[f527,f434])). 2.26/2.42 tff(f434,plain,( 2.26/2.42 ( ! [X1:$int] : ($less($sum(f(5),X1),$sum(X1,9))) ) | ~spl0_2), 2.26/2.42 inference(superposition,[],[f60,f4])). 2.26/2.42 tff(f527,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : (~$less(X0,$sum(f(3),X1)) | $less(X0,$sum(9,X1))) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f87,f10])). 2.26/2.42 tff(f9412,plain,( 2.26/2.42 spl0_178 | ~spl0_2 | ~spl0_8 | ~spl0_68), 2.26/2.42 inference(avatar_split_clause,[],[f7194,f5155,f42,f30,f9410])). 2.26/2.42 tff(f7194,plain,( 2.26/2.42 $less(f(5),11) | (~spl0_2 | ~spl0_8 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f7193])). 2.26/2.42 tff(f9408,plain,( 2.26/2.42 spl0_108 | spl0_67), 2.26/2.42 inference(avatar_split_clause,[],[f9011,f5151,f8430])). 2.26/2.42 tff(f8430,plain,( 2.26/2.42 spl0_108 <=> $less(f(3),10)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_108])])). 2.26/2.42 tff(f5151,plain,( 2.26/2.42 spl0_67 <=> ~$less(9,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_67])])). 2.26/2.42 tff(f9011,plain,( 2.26/2.42 $less(f(3),10) | ~spl0_67), 2.26/2.42 inference(evaluation,[],[f9009])). 2.26/2.42 tff(f9009,plain,( 2.26/2.42 $less(f(3),$sum(9,1)) | ~spl0_67), 2.26/2.42 inference(resolution,[],[f5152,f13])). 2.26/2.42 tff(f13,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 2.26/2.42 introduced(theory_axiom,[])). 2.26/2.42 tff(f5152,plain,( 2.26/2.42 ~$less(9,f(3)) | ~spl0_67), 2.26/2.42 inference(avatar_component_clause,[],[f5151])). 2.26/2.42 tff(f9407,plain,( 2.26/2.42 spl0_98 | spl0_30 | ~spl0_0 | ~spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f7927,f30,f26,f126,f8399])). 2.26/2.42 tff(f8399,plain,( 2.26/2.42 spl0_98 <=> ! [X6 : $int] : (~$less(X6,5) | ~$less(9,X6))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_98])])). 2.26/2.42 tff(f126,plain,( 2.26/2.42 spl0_30 <=> $less(f(5),8)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])). 2.26/2.42 tff(f7927,plain,( 2.26/2.42 ( ! [X5:$int] : ($less(f(5),8) | ~$less(X5,5) | ~$less(9,X5)) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(resolution,[],[f1309,f228])). 2.26/2.42 tff(f228,plain,( 2.26/2.42 ( ! [X4:$int,X3:$int] : ($less(f(5),X4) | ~$less(X3,X4) | ~$less(9,X3)) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f59,f10])). 2.26/2.42 tff(f1309,plain,( 2.26/2.42 ( ! [X8:$int] : (~$less(X8,5) | $less(X8,8)) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(evaluation,[],[f1300])). 2.26/2.42 tff(f1300,plain,( 2.26/2.42 ( ! [X8:$int] : ($less($sum(X8,1),9) | ~$less(X8,5)) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(resolution,[],[f642,f15])). 2.26/2.42 tff(f15,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )), 2.26/2.42 introduced(theory_axiom,[])). 2.26/2.42 tff(f642,plain,( 2.26/2.42 ( ! [X4:$int] : ($less(5,X4) | $less(X4,9)) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(evaluation,[],[f635])). 2.26/2.42 tff(f635,plain,( 2.26/2.42 ( ! [X4:$int] : ($less(X4,9) | $less(6,$sum(X4,1))) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(resolution,[],[f201,f13])). 2.26/2.42 tff(f201,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(X0,6) | $less(X0,9)) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(resolution,[],[f58,f49])). 2.26/2.42 tff(f58,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(X0,f(5)) | $less(X0,9)) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f31,f10])). 2.26/2.42 tff(f9406,plain,( 2.26/2.42 spl0_174 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f1915,f26,f9395])). 2.26/2.42 tff(f1915,plain,( 2.26/2.42 $less(5,f(5)) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f191,f9])). 2.26/2.42 tff(f9,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(X0,X0)) )), 2.26/2.42 introduced(theory_axiom,[])). 2.26/2.42 tff(f191,plain,( 2.26/2.42 ( ! [X5:$int] : ($less(X5,f(5)) | $less(5,X5)) ) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f189])). 2.26/2.42 tff(f189,plain,( 2.26/2.42 ( ! [X5:$int] : ($less(6,$sum(X5,1)) | $less(X5,f(5))) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f50,f13])). 2.26/2.42 tff(f50,plain,( 2.26/2.42 ( ! [X1:$int] : (~$less(f(5),X1) | $less(6,X1)) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f27,f10])). 2.26/2.42 tff(f9404,plain,( 2.26/2.42 spl0_42 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f2048,f26,f1817])). 2.26/2.42 tff(f1817,plain,( 2.26/2.42 spl0_42 <=> $less($uminus(f(5)),-6)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_42])])). 2.26/2.42 tff(f2048,plain,( 2.26/2.42 $less($uminus(f(5)),-6) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f2047])). 2.26/2.42 tff(f2047,plain,( 2.26/2.42 $less($sum($uminus(f(5)),6),0) | ~spl0_0), 2.26/2.42 inference(superposition,[],[f398,f8])). 2.26/2.42 tff(f9402,plain,( 2.26/2.42 ~spl0_177 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f2109,f26,f9400])). 2.26/2.42 tff(f9400,plain,( 2.26/2.42 spl0_177 <=> ~$less(-7,$uminus(f(5)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_177])])). 2.26/2.42 tff(f2109,plain,( 2.26/2.42 ~$less(-7,$uminus(f(5))) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f2105])). 2.26/2.42 tff(f2105,plain,( 2.26/2.42 ~$less(0,$sum($uminus(f(5)),7)) | ~spl0_0), 2.26/2.42 inference(superposition,[],[f410,f8])). 2.26/2.42 tff(f410,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less($sum(f(5),X6),$sum(X6,7))) ) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f396])). 2.26/2.42 tff(f396,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less($sum(f(5),X6),$sum($sum(6,X6),1))) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f51,f15])). 2.26/2.42 tff(f9398,plain,( 2.26/2.42 spl0_40 | ~spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f2164,f30,f1813])). 2.26/2.42 tff(f1813,plain,( 2.26/2.42 spl0_40 <=> $less(-9,$uminus(f(5)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_40])])). 2.26/2.42 tff(f2164,plain,( 2.26/2.42 $less(-9,$uminus(f(5))) | ~spl0_2), 2.26/2.42 inference(evaluation,[],[f2160])). 2.26/2.42 tff(f2160,plain,( 2.26/2.42 $less(0,$sum($uminus(f(5)),9)) | ~spl0_2), 2.26/2.42 inference(superposition,[],[f434,f8])). 2.26/2.42 tff(f9397,plain,( 2.26/2.42 spl0_174 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f2234,f26,f9395])). 2.26/2.42 tff(f2234,plain,( 2.26/2.42 $less(5,f(5)) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f2211])). 2.26/2.42 tff(f2211,plain,( 2.26/2.42 $less(6,$sum(1,f(5))) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f197,f9])). 2.26/2.42 tff(f197,plain,( 2.26/2.42 ( ! [X4:$int] : ($less(X4,$sum(1,f(5))) | $less(6,X4)) ) | ~spl0_0), 2.26/2.42 inference(forward_demodulation,[],[f188,f4])). 2.26/2.42 tff(f188,plain,( 2.26/2.42 ( ! [X4:$int] : ($less(6,X4) | $less(X4,$sum(f(5),1))) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f50,f13])). 2.26/2.42 tff(f9393,plain,( 2.26/2.42 ~spl0_173 | ~spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f2793,f30,f9391])). 2.26/2.42 tff(f9391,plain,( 2.26/2.42 spl0_173 <=> ~$less($uminus(f(5)),-8)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_173])])). 2.26/2.42 tff(f2793,plain,( 2.26/2.42 ~$less($uminus(f(5)),-8) | ~spl0_2), 2.26/2.42 inference(evaluation,[],[f2792])). 2.26/2.42 tff(f2792,plain,( 2.26/2.42 ~$less($sum(9,$uminus(f(5))),$sum(1,0)) | ~spl0_2), 2.26/2.42 inference(superposition,[],[f446,f8])). 2.26/2.42 tff(f446,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less($sum(9,X6),$sum(1,$sum(f(5),X6)))) ) | ~spl0_2), 2.26/2.42 inference(forward_demodulation,[],[f427,f4])). 2.26/2.42 tff(f427,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less($sum(9,X6),$sum($sum(f(5),X6),1))) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f60,f15])). 2.26/2.42 tff(f9389,plain,( 2.26/2.42 ~spl0_47 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f3026,f26,f1826])). 2.26/2.42 tff(f1826,plain,( 2.26/2.42 spl0_47 <=> ~$less(f(5),6)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_47])])). 2.26/2.42 tff(f3026,plain,( 2.26/2.42 ~$less(f(5),6) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f174,f9])). 2.26/2.42 tff(f174,plain,( 2.26/2.42 ( ! [X4:$int,X5:$int] : ($less($sum(X4,X5),$sum(f(5),X5)) | ~$less(X4,6)) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f49,f12])). 2.26/2.42 tff(f9385,plain,( 2.26/2.42 ~spl0_45 | ~spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f3201,f30,f1822])). 2.26/2.42 tff(f1822,plain,( 2.26/2.42 spl0_45 <=> ~$less(9,f(5))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_45])])). 2.26/2.42 tff(f3201,plain,( 2.26/2.42 ~$less(9,f(5)) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f229,f9])). 2.26/2.42 tff(f229,plain,( 2.26/2.42 ( ! [X6:$int,X5:$int] : ($less($sum(f(5),X6),$sum(X5,X6)) | ~$less(9,X5)) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f59,f12])). 2.26/2.42 tff(f9384,plain,( 2.26/2.42 ~spl0_171 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f3293,f26,f9382])). 2.26/2.42 tff(f9382,plain,( 2.26/2.42 spl0_171 <=> ~$less($sum(f(5),f(5)),13)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_171])])). 2.26/2.42 tff(f3293,plain,( 2.26/2.42 ~$less($sum(f(5),f(5)),13) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f3264])). 2.26/2.42 tff(f3264,plain,( 2.26/2.42 ~$less($sum(f(5),f(5)),$sum(6,7)) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f393,f410])). 2.26/2.42 tff(f9380,plain,( 2.26/2.42 spl0_168 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f3404,f26,f9378])). 2.26/2.42 tff(f9378,plain,( 2.26/2.42 spl0_168 <=> $less(12,$sum(f(5),f(5)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_168])])). 2.26/2.42 tff(f3404,plain,( 2.26/2.42 $less(12,$sum(f(5),f(5))) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f3382])). 2.26/2.42 tff(f3382,plain,( 2.26/2.42 $less($sum(6,6),$sum(f(5),f(5))) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f394,f398])). 2.26/2.42 tff(f9376,plain,( 2.26/2.42 spl0_166 | ~spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f3492,f30,f9374])). 2.26/2.42 tff(f9374,plain,( 2.26/2.42 spl0_166 <=> $less($sum(f(5),f(5)),18)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_166])])). 2.26/2.42 tff(f3492,plain,( 2.26/2.42 $less($sum(f(5),f(5)),18) | ~spl0_2), 2.26/2.42 inference(evaluation,[],[f3473])). 2.26/2.42 tff(f3473,plain,( 2.26/2.42 $less($sum(f(5),f(5)),$sum(9,9)) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f424,f434])). 2.26/2.42 tff(f9372,plain,( 2.26/2.42 spl0_164 | ~spl0_0 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f5477,f42,f26,f9369])). 2.26/2.42 tff(f9369,plain,( 2.26/2.42 spl0_164 <=> $less($sum(6,f(3)),$sum(9,f(5)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_164])])). 2.26/2.42 tff(f5477,plain,( 2.26/2.42 $less($sum(6,f(3)),$sum(9,f(5))) | (~spl0_0 | ~spl0_8)), 2.26/2.42 inference(resolution,[],[f533,f394])). 2.26/2.42 tff(f533,plain,( 2.26/2.42 ( ! [X1:$int] : ($less($sum(X1,f(3)),$sum(9,X1))) ) | ~spl0_8), 2.26/2.42 inference(superposition,[],[f87,f4])). 2.26/2.42 tff(f9371,plain,( 2.26/2.42 spl0_164 | ~spl0_0 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f7119,f42,f26,f9369])). 2.26/2.42 tff(f7119,plain,( 2.26/2.42 $less($sum(6,f(3)),$sum(9,f(5))) | (~spl0_0 | ~spl0_8)), 2.26/2.42 inference(resolution,[],[f527,f403])). 2.26/2.42 tff(f403,plain,( 2.26/2.42 ( ! [X1:$int] : ($less($sum(6,X1),$sum(X1,f(5)))) ) | ~spl0_0), 2.26/2.42 inference(superposition,[],[f51,f4])). 2.26/2.42 tff(f9357,plain,( 2.26/2.42 spl0_162 | spl0_38 | ~spl0_45 | ~spl0_2 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f5884,f42,f30,f1822,f160,f9355])). 2.26/2.42 tff(f9355,plain,( 2.26/2.42 spl0_162 <=> f(5) = $sum(1,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_162])])). 2.26/2.42 tff(f160,plain,( 2.26/2.42 spl0_38 <=> $less(f(3),8)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_38])])). 2.26/2.42 tff(f5884,plain,( 2.26/2.42 ~$less(9,f(5)) | $less(f(3),8) | f(5) = $sum(1,f(3)) | (~spl0_2 | ~spl0_8)), 2.26/2.42 inference(evaluation,[],[f5862])). 2.26/2.42 tff(f5862,plain,( 2.26/2.42 ~$less(9,f(5)) | $less($sum(1,f(3)),9) | f(5) = $sum(1,f(3)) | (~spl0_2 | ~spl0_8)), 2.26/2.42 inference(resolution,[],[f344,f204])). 2.26/2.42 tff(f204,plain,( 2.26/2.42 ( ! [X4:$int] : ($less(f(5),X4) | $less(X4,9) | f(5) = X4) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f58,f11])). 2.26/2.42 tff(f11,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 2.26/2.42 introduced(theory_axiom,[])). 2.26/2.42 tff(f344,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less(X6,$sum(1,f(3))) | ~$less(9,X6)) ) | ~spl0_8), 2.26/2.42 inference(forward_demodulation,[],[f334,f4])). 2.26/2.42 tff(f334,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less(9,X6) | ~$less(X6,$sum(f(3),1))) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f86,f15])). 2.26/2.42 tff(f86,plain,( 2.26/2.42 ( ! [X1:$int] : ($less(f(3),X1) | ~$less(9,X1)) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f43,f10])). 2.26/2.42 tff(f9353,plain,( 2.26/2.42 spl0_156 | ~spl0_0 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f7636,f46,f26,f9339])). 2.26/2.42 tff(f9339,plain,( 2.26/2.42 spl0_156 <=> $less(12,$sum(f(5),f(3)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_156])])). 2.26/2.42 tff(f9352,plain,( 2.26/2.42 spl0_158 | ~spl0_2 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f7602,f46,f30,f9343])). 2.26/2.42 tff(f9343,plain,( 2.26/2.42 spl0_158 <=> $less($sum(6,f(5)),$sum(9,f(3)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_158])])). 2.26/2.42 tff(f9351,plain,( 2.26/2.42 ~spl0_161 | ~spl0_0 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f7428,f46,f26,f9347])). 2.26/2.42 tff(f9347,plain,( 2.26/2.42 spl0_161 <=> ~$less($sum(f(5),f(3)),13)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_161])])). 2.26/2.42 tff(f7428,plain,( 2.26/2.42 ~$less($sum(f(5),f(3)),13) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(evaluation,[],[f7380])). 2.26/2.42 tff(f7380,plain,( 2.26/2.42 ~$less($sum(f(5),f(3)),$sum(6,7)) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(resolution,[],[f558,f410])). 2.26/2.42 tff(f558,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : ($less(X0,$sum(f(3),X1)) | ~$less(X0,$sum(6,X1))) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f96,f10])). 2.26/2.42 tff(f9350,plain,( 2.26/2.42 spl0_154 | ~spl0_2 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f7140,f42,f30,f9335])). 2.26/2.42 tff(f9335,plain,( 2.26/2.42 spl0_154 <=> $less($sum(f(5),f(3)),18)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_154])])). 2.26/2.42 tff(f9349,plain,( 2.26/2.42 ~spl0_161 | ~spl0_0 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f5636,f46,f26,f9347])). 2.26/2.42 tff(f5636,plain,( 2.26/2.42 ~$less($sum(f(5),f(3)),13) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(forward_demodulation,[],[f5635,f4])). 2.26/2.42 tff(f5635,plain,( 2.26/2.42 ~$less($sum(f(3),f(5)),13) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(evaluation,[],[f5620])). 2.26/2.42 tff(f5620,plain,( 2.26/2.42 ~$less($sum(f(3),f(5)),$sum(6,7)) | (~spl0_0 | ~spl0_10)), 2.26/2.42 inference(resolution,[],[f575,f393])). 2.26/2.42 tff(f575,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less($sum(f(3),X6),$sum(X6,7))) ) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f561])). 2.26/2.42 tff(f561,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less($sum(f(3),X6),$sum($sum(6,X6),1))) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f96,f15])). 2.26/2.42 tff(f9345,plain,( 2.26/2.42 spl0_158 | ~spl0_2 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f5572,f46,f30,f9343])). 2.26/2.42 tff(f9341,plain,( 2.26/2.42 spl0_156 | ~spl0_0 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f5559,f46,f26,f9339])). 2.26/2.42 tff(f9337,plain,( 2.26/2.42 spl0_154 | ~spl0_2 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f5524,f42,f30,f9335])). 2.26/2.42 tff(f9047,plain,( 2.26/2.42 ~spl0_24 | ~spl0_94), 2.26/2.42 inference(avatar_contradiction_clause,[],[f9046])). 2.26/2.42 tff(f9046,plain,( 2.26/2.42 $false | (~spl0_24 | ~spl0_94)), 2.26/2.42 inference(evaluation,[],[f9045])). 2.26/2.42 tff(f9045,plain,( 2.26/2.42 5 = 4 | (~spl0_24 | ~spl0_94)), 2.26/2.42 inference(trivial_inequality_removal,[],[f9042])). 2.26/2.42 tff(f9042,plain,( 2.26/2.42 7 != 7 | 5 = 4 | (~spl0_24 | ~spl0_94)), 2.26/2.42 inference(superposition,[],[f1845,f8392])). 2.26/2.42 tff(f1845,plain,( 2.26/2.42 ( ! [X8:$int] : (f(X8) != 7 | 5 = X8) ) | ~spl0_24), 2.26/2.42 inference(superposition,[],[f18,f110])). 2.26/2.42 tff(f110,plain,( 2.26/2.42 f(5) = 7 | ~spl0_24), 2.26/2.42 inference(avatar_component_clause,[],[f109])). 2.26/2.42 tff(f109,plain,( 2.26/2.42 spl0_24 <=> f(5) = 7), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])). 2.26/2.42 tff(f8884,plain,( 2.26/2.42 ~spl0_151 | ~spl0_0 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f8057,f157,f109,f42,f38,f26,f8877])). 2.26/2.42 tff(f8877,plain,( 2.26/2.42 spl0_151 <=> ~$less(f(4),2)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_151])])). 2.26/2.42 tff(f38,plain,( 2.26/2.42 spl0_6 <=> $less(6,f(4))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 2.26/2.42 tff(f157,plain,( 2.26/2.42 spl0_36 <=> f(3) = 8), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_36])])). 2.26/2.42 tff(f8057,plain,( 2.26/2.42 ~$less(f(4),2) | (~spl0_0 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4743])). 2.26/2.42 tff(f4743,plain,( 2.26/2.42 ~$less(f(4),2) | ~$less(3,6) | (~spl0_0 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f3340,f76])). 2.26/2.42 tff(f76,plain,( 2.26/2.42 ( ! [X0:$int] : ($less(X0,f(4)) | ~$less(X0,6)) ) | ~spl0_6), 2.26/2.42 inference(resolution,[],[f39,f10])). 2.26/2.42 tff(f39,plain,( 2.26/2.42 $less(6,f(4)) | ~spl0_6), 2.26/2.42 inference(avatar_component_clause,[],[f38])). 2.26/2.42 tff(f3340,plain,( 2.26/2.42 ( ! [X28:$int] : (~$less(3,X28) | ~$less(X28,2)) ) | (~spl0_0 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f3339])). 2.26/2.42 tff(f3339,plain,( 2.26/2.42 ( ! [X28:$int] : (~$less($sum(7,X28),9) | ~$less(3,X28)) ) | (~spl0_0 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f3299,f110])). 2.26/2.42 tff(f3299,plain,( 2.26/2.42 ( ! [X28:$int] : (~$less(3,X28) | ~$less($sum(f(5),X28),9)) ) | (~spl0_0 | ~spl0_8 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f3258])). 2.26/2.42 tff(f3258,plain,( 2.26/2.42 ( ! [X28:$int] : (~$less(9,$sum(6,X28)) | ~$less($sum(f(5),X28),9)) ) | (~spl0_0 | ~spl0_8 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f393,f346])). 2.26/2.42 tff(f346,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less(9,X6) | ~$less(X6,9)) ) | (~spl0_8 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f345])). 2.26/2.42 tff(f345,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less(X6,$sum(1,8)) | ~$less(9,X6)) ) | (~spl0_8 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f344,f158])). 2.26/2.42 tff(f158,plain,( 2.26/2.42 f(3) = 8 | ~spl0_36), 2.26/2.42 inference(avatar_component_clause,[],[f157])). 2.26/2.42 tff(f8883,plain,( 2.26/2.42 ~spl0_153 | ~spl0_0 | ~spl0_8 | ~spl0_10 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f8060,f157,f109,f46,f42,f26,f8881])). 2.26/2.42 tff(f8881,plain,( 2.26/2.42 spl0_153 <=> ~$less(f(3),2)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_153])])). 2.26/2.42 tff(f8060,plain,( 2.26/2.42 ~$less(f(3),2) | (~spl0_0 | ~spl0_8 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4744])). 2.26/2.42 tff(f4744,plain,( 2.26/2.42 ~$less(f(3),2) | ~$less(3,6) | (~spl0_0 | ~spl0_8 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f3340,f94])). 2.26/2.42 tff(f94,plain,( 2.26/2.42 ( ! [X0:$int] : ($less(X0,f(3)) | ~$less(X0,6)) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f47,f10])). 2.26/2.42 tff(f8879,plain,( 2.26/2.42 ~spl0_151 | ~spl0_0 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f4746,f157,f109,f42,f38,f26,f8877])). 2.26/2.42 tff(f4746,plain,( 2.26/2.42 ~$less(f(4),2) | (~spl0_0 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4743])). 2.26/2.42 tff(f8813,plain,( 2.26/2.42 ~spl0_149 | ~spl0_0 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f8135,f157,f109,f46,f38,f26,f8769])). 2.26/2.42 tff(f8769,plain,( 2.26/2.42 spl0_149 <=> ~$less(f(4),-1)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_149])])). 2.26/2.42 tff(f8135,plain,( 2.26/2.42 ~$less(f(4),-1) | (~spl0_0 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4774])). 2.26/2.42 tff(f4774,plain,( 2.26/2.42 ~$less(f(4),-1) | ~$less(1,6) | (~spl0_0 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f3357,f76])). 2.26/2.42 tff(f3357,plain,( 2.26/2.42 ( ! [X38:$int] : (~$less(1,X38) | ~$less(X38,-1)) ) | (~spl0_0 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f3356])). 2.26/2.42 tff(f3356,plain,( 2.26/2.42 ( ! [X38:$int] : (~$less($sum(7,X38),6) | ~$less(1,X38)) ) | (~spl0_0 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f3290,f110])). 2.26/2.42 tff(f3290,plain,( 2.26/2.42 ( ! [X38:$int] : (~$less(1,X38) | ~$less($sum(f(5),X38),6)) ) | (~spl0_0 | ~spl0_10 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f3269])). 2.26/2.42 tff(f3269,plain,( 2.26/2.42 ( ! [X38:$int] : (~$less(7,$sum(6,X38)) | ~$less($sum(f(5),X38),6)) ) | (~spl0_0 | ~spl0_10 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f393,f361])). 2.26/2.42 tff(f361,plain,( 2.26/2.42 ( ! [X7:$int] : (~$less(7,X7) | ~$less(X7,6)) ) | (~spl0_10 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f360])). 2.26/2.42 tff(f360,plain,( 2.26/2.42 ( ! [X7:$int] : (~$less(8,$sum(X7,1)) | ~$less(X7,6)) ) | (~spl0_10 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f352,f158])). 2.26/2.42 tff(f352,plain,( 2.26/2.42 ( ! [X7:$int] : (~$less(f(3),$sum(X7,1)) | ~$less(X7,6)) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f94,f15])). 2.26/2.42 tff(f8792,plain,( 2.26/2.42 ~spl0_139 | ~spl0_0 | ~spl0_10 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f8140,f157,f109,f46,f26,f8514])). 2.26/2.42 tff(f8514,plain,( 2.26/2.42 spl0_139 <=> ~$less(f(3),-1)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_139])])). 2.26/2.42 tff(f8140,plain,( 2.26/2.42 ~$less(f(3),-1) | (~spl0_0 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4775])). 2.26/2.42 tff(f4775,plain,( 2.26/2.42 ~$less(f(3),-1) | ~$less(1,6) | (~spl0_0 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f3357,f94])). 2.26/2.42 tff(f8771,plain,( 2.26/2.42 ~spl0_149 | ~spl0_0 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f4777,f157,f109,f46,f38,f26,f8769])). 2.26/2.42 tff(f4777,plain,( 2.26/2.42 ~$less(f(4),-1) | (~spl0_0 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4774])). 2.26/2.42 tff(f8662,plain,( 2.26/2.42 spl0_146 | ~spl0_4 | ~spl0_8 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f3675,f157,f42,f34,f8660])). 2.26/2.42 tff(f8660,plain,( 2.26/2.42 spl0_146 <=> $less(f(4),10)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_146])])). 2.26/2.42 tff(f34,plain,( 2.26/2.42 spl0_4 <=> $less(f(4),9)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 2.26/2.42 tff(f3675,plain,( 2.26/2.42 $less(f(4),10) | (~spl0_4 | ~spl0_8 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f1885,f35])). 2.26/2.42 tff(f35,plain,( 2.26/2.42 $less(f(4),9) | ~spl0_4), 2.26/2.42 inference(avatar_component_clause,[],[f34])). 2.26/2.42 tff(f1885,plain,( 2.26/2.42 ( ! [X4:$int] : (~$less(X4,9) | $less(X4,10)) ) | (~spl0_8 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f1879])). 2.26/2.42 tff(f1879,plain,( 2.26/2.42 ( ! [X4:$int] : (~$less(X4,9) | $less(X4,$sum(9,1))) ) | (~spl0_8 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f346,f13])). 2.26/2.42 tff(f8614,plain,( 2.26/2.42 spl0_78 | ~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f8260,f157,f109,f42,f38,f30,f8347])). 2.26/2.42 tff(f8347,plain,( 2.26/2.42 spl0_78 <=> $less(-2,f(4))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_78])])). 2.26/2.42 tff(f8260,plain,( 2.26/2.42 $less(-2,f(4)) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4186])). 2.26/2.42 tff(f4186,plain,( 2.26/2.42 $less(-2,f(4)) | ~$less(1,6) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f2861,f76])). 2.26/2.42 tff(f2861,plain,( 2.26/2.42 ( ! [X12:$int] : (~$less(1,X12) | $less(-2,X12)) ) | (~spl0_2 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f2860])). 2.26/2.42 tff(f2860,plain,( 2.26/2.42 ( ! [X12:$int] : ($less(7,$sum(9,X12)) | ~$less(1,X12)) ) | (~spl0_2 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f2856,f110])). 2.26/2.42 tff(f2856,plain,( 2.26/2.42 ( ! [X12:$int] : ($less(f(5),$sum(9,X12)) | ~$less(1,X12)) ) | (~spl0_2 | ~spl0_8 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f2823])). 2.26/2.42 tff(f2823,plain,( 2.26/2.42 ( ! [X12:$int] : ($less(f(5),$sum(9,X12)) | ~$less(9,$sum(8,X12))) ) | (~spl0_2 | ~spl0_8 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f545,f59])). 2.26/2.42 tff(f545,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : (~$less(X0,$sum(8,X1)) | $less(X0,$sum(9,X1))) ) | (~spl0_8 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f527,f158])). 2.26/2.42 tff(f8613,plain,( 2.26/2.42 spl0_78 | ~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f4189,f157,f109,f42,f38,f30,f8347])). 2.26/2.42 tff(f4189,plain,( 2.26/2.42 $less(-2,f(4)) | (~spl0_2 | ~spl0_6 | ~spl0_8 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4186])). 2.26/2.42 tff(f8605,plain,( 2.26/2.42 spl0_74 | ~spl0_6 | ~spl0_8 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f8274,f157,f42,f38,f8335])). 2.26/2.42 tff(f8335,plain,( 2.26/2.42 spl0_74 <=> $less(-1,f(4))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_74])])). 2.26/2.42 tff(f8274,plain,( 2.26/2.42 $less(-1,f(4)) | (~spl0_6 | ~spl0_8 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4248])). 2.26/2.42 tff(f4248,plain,( 2.26/2.42 $less(-1,f(4)) | ~$less(0,6) | (~spl0_6 | ~spl0_8 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f2889,f76])). 2.26/2.42 tff(f2889,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less(-1,X5)) ) | (~spl0_8 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f2888])). 2.26/2.42 tff(f2888,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less($sum(8,$uminus(9)),X5)) ) | (~spl0_8 | ~spl0_36)), 2.26/2.42 inference(superposition,[],[f546,f8])). 2.26/2.42 tff(f546,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : (~$less($sum(9,X2),X3) | $less($sum(8,X2),X3)) ) | (~spl0_8 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f528,f158])). 2.26/2.42 tff(f528,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : ($less($sum(f(3),X2),X3) | ~$less($sum(9,X2),X3)) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f87,f10])). 2.26/2.42 tff(f8604,plain,( 2.26/2.42 spl0_74 | ~spl0_6 | ~spl0_8 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f4251,f157,f42,f38,f8335])). 2.26/2.42 tff(f4251,plain,( 2.26/2.42 $less(-1,f(4)) | (~spl0_6 | ~spl0_8 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4248])). 2.26/2.42 tff(f8573,plain,( 2.26/2.42 spl0_74 | ~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f8316,f157,f109,f46,f38,f30,f8335])). 2.26/2.42 tff(f8316,plain,( 2.26/2.42 $less(-1,f(4)) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4468])). 2.26/2.42 tff(f4468,plain,( 2.26/2.42 $less(-1,f(4)) | ~$less(3,6) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f2956,f76])). 2.26/2.42 tff(f2956,plain,( 2.26/2.42 ( ! [X12:$int] : (~$less(3,X12) | $less(-1,X12)) ) | (~spl0_2 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f2955])). 2.26/2.42 tff(f2955,plain,( 2.26/2.42 ( ! [X12:$int] : ($less(7,$sum(8,X12)) | ~$less(3,X12)) ) | (~spl0_2 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f2951,f110])). 2.26/2.42 tff(f2951,plain,( 2.26/2.42 ( ! [X12:$int] : ($less(f(5),$sum(8,X12)) | ~$less(3,X12)) ) | (~spl0_2 | ~spl0_10 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f2920])). 2.26/2.42 tff(f2920,plain,( 2.26/2.42 ( ! [X12:$int] : ($less(f(5),$sum(8,X12)) | ~$less(9,$sum(6,X12))) ) | (~spl0_2 | ~spl0_10 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f577,f59])). 2.26/2.42 tff(f577,plain,( 2.26/2.42 ( ! [X0:$int,X1:$int] : (~$less(X0,$sum(6,X1)) | $less(X0,$sum(8,X1))) ) | (~spl0_10 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f558,f158])). 2.26/2.42 tff(f8572,plain,( 2.26/2.42 spl0_74 | ~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f4471,f157,f109,f46,f38,f30,f8335])). 2.26/2.42 tff(f4471,plain,( 2.26/2.42 $less(-1,f(4)) | (~spl0_2 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4468])). 2.26/2.42 tff(f8564,plain,( 2.26/2.42 spl0_78 | ~spl0_6 | ~spl0_10 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f8326,f157,f46,f38,f8347])). 2.26/2.42 tff(f8326,plain,( 2.26/2.42 $less(-2,f(4)) | (~spl0_6 | ~spl0_10 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4530])). 2.26/2.42 tff(f4530,plain,( 2.26/2.42 $less(-2,f(4)) | ~$less(0,6) | (~spl0_6 | ~spl0_10 | ~spl0_36)), 2.26/2.42 inference(resolution,[],[f2999,f76])). 2.26/2.42 tff(f2999,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less(-2,X5)) ) | (~spl0_10 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f2998])). 2.26/2.42 tff(f2998,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less($sum(6,$uminus(8)),X5)) ) | (~spl0_10 | ~spl0_36)), 2.26/2.42 inference(superposition,[],[f578,f8])). 2.26/2.42 tff(f578,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : (~$less($sum(8,X2),X3) | $less($sum(6,X2),X3)) ) | (~spl0_10 | ~spl0_36)), 2.26/2.42 inference(forward_demodulation,[],[f559,f158])). 2.26/2.42 tff(f8563,plain,( 2.26/2.42 spl0_78 | ~spl0_6 | ~spl0_10 | ~spl0_36), 2.26/2.42 inference(avatar_split_clause,[],[f4533,f157,f46,f38,f8347])). 2.26/2.42 tff(f4533,plain,( 2.26/2.42 $less(-2,f(4)) | (~spl0_6 | ~spl0_10 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f4530])). 2.26/2.42 tff(f8552,plain,( 2.26/2.42 spl0_60 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f5278,f46,f5114])). 2.26/2.42 tff(f5114,plain,( 2.26/2.42 spl0_60 <=> $less(5,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_60])])). 2.26/2.42 tff(f5278,plain,( 2.26/2.42 $less(5,f(3)) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f382,f9])). 2.26/2.42 tff(f382,plain,( 2.26/2.42 ( ! [X6:$int] : ($less(X6,f(3)) | $less(5,X6)) ) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f378])). 2.26/2.42 tff(f378,plain,( 2.26/2.42 ( ! [X6:$int] : ($less(6,$sum(X6,1)) | $less(X6,f(3))) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f95,f13])). 2.26/2.42 tff(f95,plain,( 2.26/2.42 ( ! [X1:$int] : (~$less(f(3),X1) | $less(6,X1)) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f47,f10])). 2.26/2.42 tff(f8551,plain,( 2.26/2.42 ~spl0_49 | ~spl0_2 | ~spl0_10 | spl0_15 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5316,f109,f64,f46,f30,f5082])). 2.26/2.42 tff(f5082,plain,( 2.26/2.42 spl0_49 <=> ~$less(f(3),-2)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_49])])). 2.26/2.42 tff(f64,plain,( 2.26/2.42 spl0_15 <=> ~$less(8,f(5))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])). 2.26/2.42 tff(f5316,plain,( 2.26/2.42 ~$less(f(3),-2) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5297])). 2.26/2.42 tff(f5297,plain,( 2.26/2.42 $less(5,1) | ~$less(f(3),-2) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f382,f3623])). 2.26/2.42 tff(f3623,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less(1,X21) | ~$less(X21,-2)) ) | (~spl0_2 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3622])). 2.26/2.42 tff(f3622,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less(8,$sum(7,X21)) | ~$less(X21,-2)) ) | (~spl0_2 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3621,f110])). 2.26/2.42 tff(f3621,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less(X21,-2) | ~$less(8,$sum(f(5),X21))) ) | (~spl0_2 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3620])). 2.26/2.42 tff(f3620,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less($sum(9,X21),7) | ~$less(8,$sum(f(5),X21))) ) | (~spl0_2 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3573,f110])). 2.26/2.42 tff(f3573,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less($sum(9,X21),f(5)) | ~$less(8,$sum(f(5),X21))) ) | (~spl0_2 | ~spl0_15)), 2.26/2.42 inference(resolution,[],[f425,f117])). 2.26/2.42 tff(f117,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(X0,f(5)) | ~$less(8,X0)) ) | ~spl0_15), 2.26/2.42 inference(resolution,[],[f65,f10])). 2.26/2.42 tff(f65,plain,( 2.26/2.42 ~$less(8,f(5)) | ~spl0_15), 2.26/2.42 inference(avatar_component_clause,[],[f64])). 2.26/2.42 tff(f8550,plain,( 2.26/2.42 ~spl0_53 | ~spl0_0 | ~spl0_10 | spl0_13 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5315,f109,f55,f46,f26,f5096])). 2.26/2.42 tff(f5096,plain,( 2.26/2.42 spl0_53 <=> ~$less(f(3),0)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_53])])). 2.26/2.42 tff(f55,plain,( 2.26/2.42 spl0_13 <=> ~$less(f(5),7)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])). 2.26/2.42 tff(f5315,plain,( 2.26/2.42 ~$less(f(3),0) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5298])). 2.26/2.42 tff(f5298,plain,( 2.26/2.42 $less(5,1) | ~$less(f(3),0) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f382,f3322])). 2.26/2.42 tff(f3322,plain,( 2.26/2.42 ( ! [X19:$int] : (~$less(1,X19) | ~$less(X19,0)) ) | (~spl0_0 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3321])). 2.26/2.42 tff(f3321,plain,( 2.26/2.42 ( ! [X19:$int] : (~$less($sum(7,X19),7) | ~$less(1,X19)) ) | (~spl0_0 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3320,f110])). 2.26/2.42 tff(f3320,plain,( 2.26/2.42 ( ! [X19:$int] : (~$less(1,X19) | ~$less($sum(f(5),X19),7)) ) | (~spl0_0 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3319])). 2.26/2.42 tff(f3319,plain,( 2.26/2.42 ( ! [X19:$int] : (~$less(7,$sum(6,X19)) | ~$less($sum(f(5),X19),7)) ) | (~spl0_0 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3251,f110])). 2.26/2.42 tff(f3251,plain,( 2.26/2.42 ( ! [X19:$int] : (~$less(f(5),$sum(6,X19)) | ~$less($sum(f(5),X19),7)) ) | (~spl0_0 | ~spl0_13)), 2.26/2.42 inference(resolution,[],[f393,f103])). 2.26/2.42 tff(f103,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(f(5),X0) | ~$less(X0,7)) ) | ~spl0_13), 2.26/2.42 inference(resolution,[],[f56,f10])). 2.26/2.42 tff(f56,plain,( 2.26/2.42 ~$less(f(5),7) | ~spl0_13), 2.26/2.42 inference(avatar_component_clause,[],[f55])). 2.26/2.42 tff(f8549,plain,( 2.26/2.42 spl0_50 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5314,f109,f46,f30,f5086])). 2.26/2.42 tff(f5086,plain,( 2.26/2.42 spl0_50 <=> $less(-2,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_50])])). 2.26/2.42 tff(f5314,plain,( 2.26/2.42 $less(-2,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5306])). 2.26/2.42 tff(f5306,plain,( 2.26/2.42 $less(5,2) | $less(-2,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f382,f3516])). 2.26/2.42 tff(f3516,plain,( 2.26/2.42 ( ! [X15:$int] : (~$less(2,X15) | $less(-2,X15)) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3515])). 2.26/2.42 tff(f3515,plain,( 2.26/2.42 ( ! [X15:$int] : (~$less(9,$sum(7,X15)) | $less(-2,X15)) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3514,f110])). 2.26/2.42 tff(f3514,plain,( 2.26/2.42 ( ! [X15:$int] : ($less(-2,X15) | ~$less(9,$sum(f(5),X15))) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3513])). 2.26/2.42 tff(f3513,plain,( 2.26/2.42 ( ! [X15:$int] : ($less(7,$sum(9,X15)) | ~$less(9,$sum(f(5),X15))) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3463,f110])). 2.26/2.42 tff(f3463,plain,( 2.26/2.42 ( ! [X15:$int] : ($less(f(5),$sum(9,X15)) | ~$less(9,$sum(f(5),X15))) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f424,f59])). 2.26/2.42 tff(f8548,plain,( 2.26/2.42 ~spl0_57 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5311,f109,f46,f30,f5105])). 2.26/2.42 tff(f5105,plain,( 2.26/2.42 spl0_57 <=> ~$less(f(3),1)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_57])])). 2.26/2.42 tff(f5311,plain,( 2.26/2.42 ~$less(f(3),1) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5309])). 2.26/2.42 tff(f5309,plain,( 2.26/2.42 $less(5,2) | ~$less(f(3),1) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f382,f2300])). 2.26/2.42 tff(f2300,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less(2,X6) | ~$less(X6,1)) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f2299])). 2.26/2.42 tff(f2299,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less(9,$sum(X6,7)) | ~$less(X6,1)) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f2283,f110])). 2.26/2.42 tff(f2283,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less(9,$sum(X6,f(5))) | ~$less(X6,1)) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f238,f12])). 2.26/2.42 tff(f238,plain,( 2.26/2.42 ( ! [X7:$int] : (~$less(X7,$sum(1,f(5))) | ~$less(9,X7)) ) | ~spl0_2), 2.26/2.42 inference(forward_demodulation,[],[f230,f4])). 2.26/2.42 tff(f230,plain,( 2.26/2.42 ( ! [X7:$int] : (~$less(9,X7) | ~$less(X7,$sum(f(5),1))) ) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f59,f15])). 2.26/2.42 tff(f8547,plain,( 2.26/2.42 spl0_108 | ~spl0_0 | ~spl0_8 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5495,f109,f42,f26,f8430])). 2.26/2.42 tff(f5495,plain,( 2.26/2.42 $less(f(3),10) | (~spl0_0 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5494])). 2.26/2.42 tff(f5494,plain,( 2.26/2.42 $less($sum(6,f(3)),$sum(9,7)) | (~spl0_0 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f5477,f110])). 2.26/2.42 tff(f8546,plain,( 2.26/2.42 spl0_112 | ~spl0_2 | ~spl0_8 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8545,f109,f42,f30,f8440])). 2.26/2.42 tff(f8440,plain,( 2.26/2.42 spl0_112 <=> $less(f(3),11)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_112])])). 2.26/2.42 tff(f8545,plain,( 2.26/2.42 $less(f(3),11) | (~spl0_2 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f8544])). 2.26/2.42 tff(f8544,plain,( 2.26/2.42 $less($sum(7,f(3)),18) | (~spl0_2 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f5524,f110])). 2.26/2.42 tff(f8543,plain,( 2.26/2.42 spl0_64 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f5521,f42,f5146])). 2.26/2.42 tff(f5146,plain,( 2.26/2.42 spl0_64 <=> $less(-9,$uminus(f(3)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_64])])). 2.26/2.42 tff(f5521,plain,( 2.26/2.42 $less(-9,$uminus(f(3))) | ~spl0_8), 2.26/2.42 inference(evaluation,[],[f5517])). 2.26/2.42 tff(f5517,plain,( 2.26/2.42 $less(0,$sum($uminus(f(3)),9)) | ~spl0_8), 2.26/2.42 inference(superposition,[],[f537,f8])). 2.26/2.42 tff(f8542,plain,( 2.26/2.42 spl0_60 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8541,f109,f46,f26,f5114])). 2.26/2.42 tff(f8541,plain,( 2.26/2.42 $less(5,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f8540])). 2.26/2.42 tff(f8540,plain,( 2.26/2.42 $less(12,$sum(7,f(3))) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f5559,f110])). 2.26/2.42 tff(f8538,plain,( 2.26/2.42 spl0_62 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f5554,f46,f5141])). 2.26/2.42 tff(f5141,plain,( 2.26/2.42 spl0_62 <=> $less($uminus(f(3)),-6)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_62])])). 2.26/2.42 tff(f5554,plain,( 2.26/2.42 $less($uminus(f(3)),-6) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f5553])). 2.26/2.42 tff(f5553,plain,( 2.26/2.42 $less($sum($uminus(f(3)),6),0) | ~spl0_10), 2.26/2.42 inference(superposition,[],[f563,f8])). 2.26/2.42 tff(f8537,plain,( 2.26/2.42 spl0_104 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8536,f109,f46,f30,f8419])). 2.26/2.42 tff(f8419,plain,( 2.26/2.42 spl0_104 <=> $less(4,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_104])])). 2.26/2.42 tff(f8536,plain,( 2.26/2.42 $less(4,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f8535])). 2.26/2.42 tff(f8535,plain,( 2.26/2.42 $less($sum(6,7),$sum(9,f(3))) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f5572,f110])). 2.26/2.42 tff(f8533,plain,( 2.26/2.42 ~spl0_59 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8532,f109,f46,f26,f5110])). 2.26/2.42 tff(f5110,plain,( 2.26/2.42 spl0_59 <=> ~$less(f(3),6)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_59])])). 2.26/2.42 tff(f8532,plain,( 2.26/2.42 ~$less(f(3),6) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f8531])). 2.26/2.42 tff(f8531,plain,( 2.26/2.42 ~$less($sum(7,f(3)),13) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f5636,f110])). 2.26/2.42 tff(f8530,plain,( 2.26/2.42 ~spl0_145 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f5633,f46,f8528])). 2.26/2.42 tff(f8528,plain,( 2.26/2.42 spl0_145 <=> ~$less(-7,$uminus(f(3)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_145])])). 2.26/2.42 tff(f5633,plain,( 2.26/2.42 ~$less(-7,$uminus(f(3))) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f5629])). 2.26/2.42 tff(f5629,plain,( 2.26/2.42 ~$less(0,$sum($uminus(f(3)),7)) | ~spl0_10), 2.26/2.42 inference(superposition,[],[f575,f8])). 2.26/2.42 tff(f8526,plain,( 2.26/2.42 spl0_60 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f5979,f46,f5114])). 2.26/2.42 tff(f5979,plain,( 2.26/2.42 $less(5,f(3)) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f5925])). 2.26/2.42 tff(f5925,plain,( 2.26/2.42 $less(6,$sum(1,f(3))) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f388,f9])). 2.26/2.42 tff(f388,plain,( 2.26/2.42 ( ! [X5:$int] : ($less(X5,$sum(1,f(3))) | $less(6,X5)) ) | ~spl0_10), 2.26/2.42 inference(forward_demodulation,[],[f377,f4])). 2.26/2.42 tff(f377,plain,( 2.26/2.42 ( ! [X5:$int] : ($less(6,X5) | $less(X5,$sum(f(3),1))) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f95,f13])). 2.26/2.42 tff(f8525,plain,( 2.26/2.42 ~spl0_143 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5973,f109,f46,f26,f8523])). 2.26/2.42 tff(f8523,plain,( 2.26/2.42 spl0_143 <=> ~$less(f(3),5)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_143])])). 2.26/2.42 tff(f5973,plain,( 2.26/2.42 ~$less(f(3),5) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5945])). 2.26/2.42 tff(f5945,plain,( 2.26/2.42 $less(6,6) | ~$less($sum(1,f(3)),6) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f388,f2199])). 2.26/2.42 tff(f2199,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(6,X0) | ~$less(X0,6)) ) | (~spl0_0 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f2195])). 2.26/2.42 tff(f2195,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(7,$sum(X0,1)) | ~$less(X0,6)) ) | (~spl0_0 | ~spl0_24)), 2.26/2.42 inference(superposition,[],[f175,f110])). 2.26/2.42 tff(f175,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less(f(5),$sum(X6,1)) | ~$less(X6,6)) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f49,f15])). 2.26/2.42 tff(f8521,plain,( 2.26/2.42 spl0_104 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5972,f109,f46,f26,f8419])). 2.26/2.42 tff(f5972,plain,( 2.26/2.42 $less(4,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5946])). 2.26/2.42 tff(f5946,plain,( 2.26/2.42 $less(6,6) | $less(5,$sum(1,f(3))) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f388,f1937])). 2.26/2.42 tff(f1937,plain,( 2.26/2.42 ( ! [X8:$int] : (~$less(6,X8) | $less(5,X8)) ) | (~spl0_0 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f1936])). 2.26/2.42 tff(f1936,plain,( 2.26/2.42 ( ! [X8:$int] : (~$less(7,$sum(X8,1)) | $less(5,X8)) ) | (~spl0_0 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f1919,f110])). 2.26/2.42 tff(f1919,plain,( 2.26/2.42 ( ! [X8:$int] : ($less(5,X8) | ~$less(f(5),$sum(X8,1))) ) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f191,f15])). 2.26/2.42 tff(f8520,plain,( 2.26/2.42 ~spl0_141 | ~spl0_2 | ~spl0_10 | spl0_15 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5971,f109,f64,f46,f30,f8518])). 2.26/2.42 tff(f8518,plain,( 2.26/2.42 spl0_141 <=> ~$less(f(3),-3)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_141])])). 2.26/2.42 tff(f5971,plain,( 2.26/2.42 ~$less(f(3),-3) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5947])). 2.26/2.42 tff(f5947,plain,( 2.26/2.42 $less(6,1) | ~$less($sum(1,f(3)),-2) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f388,f3623])). 2.26/2.42 tff(f8516,plain,( 2.26/2.42 ~spl0_139 | ~spl0_0 | ~spl0_10 | spl0_13 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5970,f109,f55,f46,f26,f8514])). 2.26/2.42 tff(f5970,plain,( 2.26/2.42 ~$less(f(3),-1) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5948])). 2.26/2.42 tff(f5948,plain,( 2.26/2.42 $less(6,1) | ~$less($sum(1,f(3)),0) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f388,f3322])). 2.26/2.42 tff(f8512,plain,( 2.26/2.42 spl0_136 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5969,f109,f46,f30,f8510])). 2.26/2.42 tff(f8510,plain,( 2.26/2.42 spl0_136 <=> $less(-3,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_136])])). 2.26/2.42 tff(f5969,plain,( 2.26/2.42 $less(-3,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5960])). 2.26/2.42 tff(f5960,plain,( 2.26/2.42 $less(6,2) | $less(-2,$sum(1,f(3))) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f388,f3516])). 2.26/2.42 tff(f8508,plain,( 2.26/2.42 ~spl0_53 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f5966,f109,f46,f30,f5096])). 2.26/2.42 tff(f5966,plain,( 2.26/2.42 ~$less(f(3),0) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f5963])). 2.26/2.42 tff(f5963,plain,( 2.26/2.42 $less(6,2) | ~$less($sum(1,f(3)),1) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f388,f2300])). 2.26/2.42 tff(f8507,plain,( 2.26/2.42 spl0_50 | ~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6205,f109,f46,f30,f26,f5086])). 2.26/2.42 tff(f6205,plain,( 2.26/2.42 $less(-2,f(3)) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6189])). 2.26/2.42 tff(f6189,plain,( 2.26/2.42 $less(-1,$sum(1,f(3))) | $less(6,3) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3336,f388])). 2.26/2.42 tff(f3336,plain,( 2.26/2.42 ( ! [X23:$int] : (~$less(3,X23) | $less(-1,X23)) ) | (~spl0_0 | ~spl0_2 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3335])). 2.26/2.42 tff(f3335,plain,( 2.26/2.42 ( ! [X23:$int] : ($less(6,$sum(7,X23)) | ~$less(3,X23)) ) | (~spl0_0 | ~spl0_2 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3302,f110])). 2.26/2.42 tff(f3302,plain,( 2.26/2.42 ( ! [X23:$int] : (~$less(3,X23) | $less(6,$sum(f(5),X23))) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(evaluation,[],[f3255])). 2.26/2.42 tff(f3255,plain,( 2.26/2.42 ( ! [X23:$int] : (~$less(9,$sum(6,X23)) | $less(6,$sum(f(5),X23))) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(resolution,[],[f393,f225])). 2.26/2.42 tff(f225,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(9,X0) | $less(6,X0)) ) | (~spl0_0 | ~spl0_2)), 2.26/2.42 inference(resolution,[],[f59,f50])). 2.26/2.42 tff(f8506,plain,( 2.26/2.42 spl0_54 | ~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6199,f109,f46,f30,f26,f5100])). 2.26/2.42 tff(f5100,plain,( 2.26/2.42 spl0_54 <=> $less(-1,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_54])])). 2.26/2.42 tff(f6199,plain,( 2.26/2.42 $less(-1,f(3)) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6196])). 2.26/2.42 tff(f6196,plain,( 2.26/2.42 $less(-1,f(3)) | $less(5,3) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3336,f382])). 2.26/2.42 tff(f8505,plain,( 2.26/2.42 spl0_54 | ~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6198,f109,f46,f30,f26,f5100])). 2.26/2.42 tff(f6198,plain,( 2.26/2.42 $less(-1,f(3)) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6197])). 2.26/2.42 tff(f6197,plain,( 2.26/2.42 $less(-1,f(3)) | ~$less(3,6) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3336,f94])). 2.26/2.42 tff(f8504,plain,( 2.26/2.42 spl0_54 | spl0_134 | ~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6246,f109,f46,f30,f26,f8502,f5100])). 2.26/2.42 tff(f8502,plain,( 2.26/2.42 spl0_134 <=> ! [X43 : $int] : (~$less(3,X43) | ~$less(X43,6))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_134])])). 2.26/2.42 tff(f6246,plain,( 2.26/2.42 ( ! [X43:$int] : (~$less(3,X43) | ~$less(X43,6) | $less(-1,f(3))) ) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f349,f3336])). 2.26/2.42 tff(f349,plain,( 2.26/2.42 ( ! [X2:$int,X1:$int] : ($less(X2,f(3)) | ~$less(X2,X1) | ~$less(X1,6)) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f94,f10])). 2.26/2.42 tff(f8500,plain,( 2.26/2.42 ~spl0_49 | spl0_132 | ~spl0_2 | ~spl0_10 | spl0_15 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6247,f109,f64,f46,f30,f8497,f5082])). 2.26/2.42 tff(f8497,plain,( 2.26/2.42 spl0_132 <=> ! [X45 : $int] : (~$less(1,X45) | ~$less(X45,6))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_132])])). 2.26/2.42 tff(f6247,plain,( 2.26/2.42 ( ! [X44:$int] : (~$less(1,X44) | ~$less(X44,6) | ~$less(f(3),-2)) ) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f349,f3623])). 2.26/2.42 tff(f8499,plain,( 2.26/2.42 ~spl0_53 | spl0_132 | ~spl0_0 | ~spl0_10 | spl0_13 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6248,f109,f55,f46,f26,f8497,f5096])). 2.26/2.42 tff(f6248,plain,( 2.26/2.42 ( ! [X45:$int] : (~$less(1,X45) | ~$less(X45,6) | ~$less(f(3),0)) ) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f349,f3322])). 2.26/2.42 tff(f8495,plain,( 2.26/2.42 spl0_50 | spl0_116 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6262,f109,f46,f30,f8450,f5086])). 2.26/2.42 tff(f8450,plain,( 2.26/2.42 spl0_116 <=> ! [X8 : $int] : (~$less(2,X8) | ~$less(X8,6))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_116])])). 2.26/2.42 tff(f6262,plain,( 2.26/2.42 ( ! [X62:$int] : (~$less(2,X62) | ~$less(X62,6) | $less(-2,f(3))) ) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f349,f3516])). 2.26/2.42 tff(f8494,plain,( 2.26/2.42 ~spl0_57 | spl0_116 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6265,f109,f46,f30,f8450,f5105])). 2.26/2.42 tff(f6265,plain,( 2.26/2.42 ( ! [X65:$int] : (~$less(2,X65) | ~$less(X65,6) | ~$less(f(3),1)) ) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f349,f2300])). 2.26/2.42 tff(f8493,plain,( 2.26/2.42 spl0_50 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6447,f109,f46,f26,f5086])). 2.26/2.42 tff(f6447,plain,( 2.26/2.42 $less(-2,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6430])). 2.26/2.42 tff(f6430,plain,( 2.26/2.42 $less(-1,$sum(1,f(3))) | $less(6,0) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3453,f388])). 2.26/2.42 tff(f3453,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less(-1,X5)) ) | (~spl0_0 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3452])). 2.26/2.42 tff(f3452,plain,( 2.26/2.42 ( ! [X5:$int] : ($less($sum(6,$uminus(7)),X5) | ~$less(0,X5)) ) | (~spl0_0 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3401,f110])). 2.26/2.42 tff(f3401,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(0,X5) | $less($sum(6,$uminus(f(5))),X5)) ) | ~spl0_0), 2.26/2.42 inference(superposition,[],[f394,f8])). 2.26/2.42 tff(f8492,plain,( 2.26/2.42 spl0_130 | spl0_54 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6437,f109,f46,f26,f5100,f8490])). 2.26/2.42 tff(f8490,plain,( 2.26/2.42 spl0_130 <=> ! [X8 : $int] : (~$less(0,X8) | ~$less(X8,6))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_130])])). 2.26/2.42 tff(f6437,plain,( 2.26/2.42 ( ! [X8:$int] : ($less(-1,f(3)) | ~$less(0,X8) | ~$less(X8,6)) ) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3453,f349])). 2.26/2.42 tff(f8488,plain,( 2.26/2.42 spl0_54 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6441,f109,f46,f26,f5100])). 2.26/2.42 tff(f6441,plain,( 2.26/2.42 $less(-1,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6438])). 2.26/2.42 tff(f6438,plain,( 2.26/2.42 $less(-1,f(3)) | $less(5,0) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3453,f382])). 2.26/2.42 tff(f8487,plain,( 2.26/2.42 spl0_54 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6440,f109,f46,f26,f5100])). 2.26/2.42 tff(f6440,plain,( 2.26/2.42 $less(-1,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6439])). 2.26/2.42 tff(f6439,plain,( 2.26/2.42 $less(-1,f(3)) | ~$less(0,6) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3453,f94])). 2.26/2.42 tff(f8486,plain,( 2.26/2.42 ~spl0_129 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f6689,f42,f8484])). 2.26/2.42 tff(f8484,plain,( 2.26/2.42 spl0_129 <=> ~$less($uminus(f(3)),-8)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_129])])). 2.26/2.42 tff(f6689,plain,( 2.26/2.42 ~$less($uminus(f(3)),-8) | ~spl0_8), 2.26/2.42 inference(evaluation,[],[f6688])). 2.26/2.42 tff(f6688,plain,( 2.26/2.42 ~$less($sum(9,$uminus(f(3))),$sum(1,0)) | ~spl0_8), 2.26/2.42 inference(superposition,[],[f549,f8])). 2.26/2.42 tff(f549,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less($sum(9,X6),$sum(1,$sum(f(3),X6)))) ) | ~spl0_8), 2.26/2.42 inference(forward_demodulation,[],[f530,f4])). 2.26/2.42 tff(f530,plain,( 2.26/2.42 ( ! [X6:$int] : (~$less($sum(9,X6),$sum($sum(f(3),X6),1))) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f87,f15])). 2.26/2.42 tff(f8481,plain,( 2.26/2.42 ~spl0_67 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f6831,f42,f5151])). 2.26/2.42 tff(f6831,plain,( 2.26/2.42 ~$less(9,f(3)) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f333,f9])). 2.26/2.42 tff(f333,plain,( 2.26/2.42 ( ! [X4:$int,X5:$int] : ($less($sum(f(3),X5),$sum(X4,X5)) | ~$less(9,X4)) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f86,f12])). 2.26/2.42 tff(f8480,plain,( 2.26/2.42 ~spl0_59 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f6872,f46,f5110])). 2.26/2.42 tff(f6872,plain,( 2.26/2.42 ~$less(f(3),6) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f351,f9])). 2.26/2.42 tff(f351,plain,( 2.26/2.42 ( ! [X6:$int,X5:$int] : ($less($sum(X5,X6),$sum(f(3),X6)) | ~$less(X5,6)) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f94,f12])). 2.26/2.42 tff(f8477,plain,( 2.26/2.42 ~spl0_59 | spl0_126 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6974,f109,f46,f26,f8474,f5110])). 2.26/2.42 tff(f8474,plain,( 2.26/2.42 spl0_126 <=> f(3) = 6), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_126])])). 2.26/2.42 tff(f6974,plain,( 2.26/2.42 f(3) = 6 | ~$less(f(3),6) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6935])). 2.26/2.42 tff(f6935,plain,( 2.26/2.42 $less(6,6) | f(3) = 6 | ~$less(f(3),6) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f376,f2199])). 2.26/2.42 tff(f376,plain,( 2.26/2.42 ( ! [X4:$int] : ($less(X4,f(3)) | $less(6,X4) | f(3) = X4) ) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f95,f11])). 2.26/2.42 tff(f8476,plain,( 2.26/2.42 spl0_60 | spl0_126 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6973,f109,f46,f26,f8474,f5114])). 2.26/2.42 tff(f6973,plain,( 2.26/2.42 f(3) = 6 | $less(5,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6936])). 2.26/2.42 tff(f6936,plain,( 2.26/2.42 $less(6,6) | f(3) = 6 | $less(5,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f376,f1937])). 2.26/2.42 tff(f8472,plain,( 2.26/2.42 spl0_54 | spl0_124 | ~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6972,f109,f46,f30,f26,f8470,f5100])). 2.26/2.42 tff(f8470,plain,( 2.26/2.42 spl0_124 <=> f(3) = 3), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_124])])). 2.26/2.42 tff(f6972,plain,( 2.26/2.42 f(3) = 3 | $less(-1,f(3)) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6937])). 2.26/2.42 tff(f6937,plain,( 2.26/2.42 $less(6,3) | f(3) = 3 | $less(-1,f(3)) | (~spl0_0 | ~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f376,f3336])). 2.26/2.42 tff(f8468,plain,( 2.26/2.42 spl0_54 | spl0_122 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6971,f109,f46,f26,f8466,f5100])). 2.26/2.42 tff(f8466,plain,( 2.26/2.42 spl0_122 <=> f(3) = 0), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_122])])). 2.26/2.42 tff(f6971,plain,( 2.26/2.42 f(3) = 0 | $less(-1,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6938])). 2.26/2.42 tff(f6938,plain,( 2.26/2.42 $less(6,0) | f(3) = 0 | $less(-1,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f376,f3453])). 2.26/2.42 tff(f8464,plain,( 2.26/2.42 ~spl0_49 | spl0_120 | ~spl0_2 | ~spl0_10 | spl0_15 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6969,f109,f64,f46,f30,f8461,f5082])). 2.26/2.42 tff(f8461,plain,( 2.26/2.42 spl0_120 <=> f(3) = 1), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_120])])). 2.26/2.42 tff(f6969,plain,( 2.26/2.42 f(3) = 1 | ~$less(f(3),-2) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6940])). 2.26/2.42 tff(f6940,plain,( 2.26/2.42 $less(6,1) | f(3) = 1 | ~$less(f(3),-2) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f376,f3623])). 2.26/2.42 tff(f8463,plain,( 2.26/2.42 ~spl0_53 | spl0_120 | ~spl0_0 | ~spl0_10 | spl0_13 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6968,f109,f55,f46,f26,f8461,f5096])). 2.26/2.42 tff(f6968,plain,( 2.26/2.42 f(3) = 1 | ~$less(f(3),0) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6941])). 2.26/2.42 tff(f6941,plain,( 2.26/2.42 $less(6,1) | f(3) = 1 | ~$less(f(3),0) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f376,f3322])). 2.26/2.42 tff(f8459,plain,( 2.26/2.42 spl0_50 | spl0_118 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6965,f109,f46,f30,f8454,f5086])). 2.26/2.42 tff(f8454,plain,( 2.26/2.42 spl0_118 <=> f(3) = 2), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_118])])). 2.26/2.42 tff(f6965,plain,( 2.26/2.42 f(3) = 2 | $less(-2,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6957])). 2.26/2.42 tff(f6957,plain,( 2.26/2.42 $less(6,2) | f(3) = 2 | $less(-2,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f376,f3516])). 2.26/2.42 tff(f8458,plain,( 2.26/2.42 ~spl0_57 | spl0_118 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6962,f109,f46,f30,f8454,f5105])). 2.26/2.42 tff(f6962,plain,( 2.26/2.42 f(3) = 2 | ~$less(f(3),1) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6960])). 2.26/2.42 tff(f6960,plain,( 2.26/2.42 $less(6,2) | f(3) = 2 | ~$less(f(3),1) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f376,f2300])). 2.26/2.42 tff(f8457,plain,( 2.26/2.42 spl0_54 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f7059,f109,f46,f30,f5100])). 2.26/2.42 tff(f7059,plain,( 2.26/2.42 $less(-1,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f7040])). 2.26/2.42 tff(f7040,plain,( 2.26/2.42 $less(0,$sum(1,f(3))) | $less(6,2) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3669,f388])). 2.26/2.42 tff(f3669,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less(2,X5) | $less(0,X5)) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3668])). 2.26/2.42 tff(f3668,plain,( 2.26/2.42 ( ! [X5:$int] : (~$less($sum(9,$uminus(7)),X5) | $less(0,X5)) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f3595,f110])). 2.26/2.42 tff(f3595,plain,( 2.26/2.42 ( ! [X5:$int] : ($less(0,X5) | ~$less($sum(9,$uminus(f(5))),X5)) ) | ~spl0_2), 2.26/2.42 inference(superposition,[],[f425,f8])). 2.26/2.42 tff(f8456,plain,( 2.26/2.42 spl0_118 | spl0_114 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f7053,f109,f46,f30,f8445,f8454])). 2.26/2.42 tff(f8445,plain,( 2.26/2.42 spl0_114 <=> $less(0,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_114])])). 2.26/2.42 tff(f7053,plain,( 2.26/2.42 $less(0,f(3)) | f(3) = 2 | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f7047])). 2.26/2.42 tff(f7047,plain,( 2.26/2.42 $less(0,f(3)) | $less(6,2) | f(3) = 2 | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3669,f376])). 2.26/2.42 tff(f8452,plain,( 2.26/2.42 spl0_116 | spl0_114 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f7048,f109,f46,f30,f8445,f8450])). 2.26/2.42 tff(f7048,plain,( 2.26/2.42 ( ! [X8:$int] : ($less(0,f(3)) | ~$less(2,X8) | ~$less(X8,6)) ) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3669,f349])). 2.26/2.42 tff(f8448,plain,( 2.26/2.42 spl0_114 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f7052,f109,f46,f30,f8445])). 2.26/2.42 tff(f7052,plain,( 2.26/2.42 $less(0,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f7049])). 2.26/2.42 tff(f7049,plain,( 2.26/2.42 $less(0,f(3)) | $less(5,2) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3669,f382])). 2.26/2.42 tff(f8447,plain,( 2.26/2.42 spl0_114 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f7051,f109,f46,f30,f8445])). 2.26/2.42 tff(f7051,plain,( 2.26/2.42 $less(0,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f7050])). 2.26/2.42 tff(f7050,plain,( 2.26/2.42 $less(0,f(3)) | ~$less(2,6) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3669,f94])). 2.26/2.42 tff(f8442,plain,( 2.26/2.42 spl0_112 | ~spl0_2 | ~spl0_8 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8438,f109,f42,f30,f8440])). 2.26/2.42 tff(f8438,plain,( 2.26/2.42 $less(f(3),11) | (~spl0_2 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f8437])). 2.26/2.42 tff(f8437,plain,( 2.26/2.42 $less($sum(7,f(3)),18) | (~spl0_2 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f7140,f110])). 2.26/2.42 tff(f8436,plain,( 2.26/2.42 spl0_110 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f7139,f42,f8434])). 2.26/2.42 tff(f8434,plain,( 2.26/2.42 spl0_110 <=> $less($sum(f(3),f(3)),18)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_110])])). 2.26/2.42 tff(f7139,plain,( 2.26/2.42 $less($sum(f(3),f(3)),18) | ~spl0_8), 2.26/2.42 inference(evaluation,[],[f7115])). 2.26/2.42 tff(f7115,plain,( 2.26/2.42 $less($sum(f(3),f(3)),$sum(9,9)) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f527,f537])). 2.26/2.42 tff(f8432,plain,( 2.26/2.42 spl0_108 | ~spl0_0 | ~spl0_8 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f7198,f109,f42,f26,f8430])). 2.26/2.42 tff(f7198,plain,( 2.26/2.42 $less(f(3),10) | (~spl0_0 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f7197])). 2.26/2.42 tff(f7197,plain,( 2.26/2.42 $less($sum(6,f(3)),$sum(9,7)) | (~spl0_0 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f7119,f110])). 2.26/2.42 tff(f8428,plain,( 2.26/2.42 ~spl0_59 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8427,f109,f46,f26,f5110])). 2.26/2.42 tff(f8427,plain,( 2.26/2.42 ~$less(f(3),6) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f8426])). 2.26/2.42 tff(f8426,plain,( 2.26/2.42 ~$less($sum(7,f(3)),13) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f7428,f110])). 2.26/2.42 tff(f8425,plain,( 2.26/2.42 ~spl0_107 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f7427,f46,f8423])). 2.26/2.42 tff(f8423,plain,( 2.26/2.42 spl0_107 <=> ~$less($sum(f(3),f(3)),13)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_107])])). 2.26/2.42 tff(f7427,plain,( 2.26/2.42 ~$less($sum(f(3),f(3)),13) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f7381])). 2.26/2.42 tff(f7381,plain,( 2.26/2.42 ~$less($sum(f(3),f(3)),$sum(6,7)) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f558,f575])). 2.26/2.42 tff(f8421,plain,( 2.26/2.42 spl0_104 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8417,f109,f46,f30,f8419])). 2.26/2.42 tff(f8417,plain,( 2.26/2.42 $less(4,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f8416])). 2.26/2.42 tff(f8416,plain,( 2.26/2.42 $less($sum(6,7),$sum(9,f(3))) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f7602,f110])). 2.26/2.42 tff(f8415,plain,( 2.26/2.42 spl0_60 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8414,f109,f46,f26,f5114])). 2.26/2.42 tff(f8414,plain,( 2.26/2.42 $less(5,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f8413])). 2.26/2.42 tff(f8413,plain,( 2.26/2.42 $less(12,$sum(7,f(3))) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(forward_demodulation,[],[f7636,f110])). 2.26/2.42 tff(f8412,plain,( 2.26/2.42 spl0_102 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f7635,f46,f8410])). 2.26/2.42 tff(f8410,plain,( 2.26/2.42 spl0_102 <=> $less(12,$sum(f(3),f(3)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_102])])). 2.26/2.42 tff(f7635,plain,( 2.26/2.42 $less(12,$sum(f(3),f(3))) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f7605])). 2.26/2.42 tff(f7605,plain,( 2.26/2.42 $less($sum(6,6),$sum(f(3),f(3))) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f559,f563])). 2.26/2.42 tff(f8406,plain,( 2.26/2.42 ~spl0_67 | spl0_100 | ~spl0_2 | ~spl0_8 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f8402,f109,f42,f30,f8404,f5151])). 2.26/2.42 tff(f8404,plain,( 2.26/2.42 spl0_100 <=> f(3) = $sum(1,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_100])])). 2.26/2.42 tff(f8402,plain,( 2.26/2.42 f(3) = $sum(1,f(3)) | ~$less(9,f(3)) | (~spl0_2 | ~spl0_8 | ~spl0_24)), 2.26/2.42 inference(subsumption_resolution,[],[f6790,f2287])). 2.26/2.42 tff(f2287,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(9,X0) | ~$less(X0,8)) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f2286])). 2.26/2.42 tff(f2286,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(X0,$sum(1,7)) | ~$less(9,X0)) ) | (~spl0_2 | ~spl0_24)), 2.26/2.42 inference(superposition,[],[f238,f110])). 2.26/2.42 tff(f6790,plain,( 2.26/2.42 $less(f(3),8) | f(3) = $sum(1,f(3)) | ~$less(9,f(3)) | ~spl0_8), 2.26/2.42 inference(evaluation,[],[f6779])). 2.26/2.42 tff(f6779,plain,( 2.26/2.42 $less($sum(1,f(3)),9) | f(3) = $sum(1,f(3)) | ~$less(9,f(3)) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f317,f344])). 2.26/2.42 tff(f317,plain,( 2.26/2.42 ( ! [X3:$int] : ($less(f(3),X3) | $less(X3,9) | f(3) = X3) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f85,f11])). 2.26/2.42 tff(f85,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(X0,f(3)) | $less(X0,9)) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f43,f10])). 2.26/2.42 tff(f8401,plain,( 2.26/2.42 spl0_98 | spl0_38 | ~spl0_0 | ~spl0_2 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f7931,f42,f30,f26,f160,f8399])). 2.26/2.42 tff(f7931,plain,( 2.26/2.42 ( ! [X6:$int] : ($less(f(3),8) | ~$less(X6,5) | ~$less(9,X6)) ) | (~spl0_0 | ~spl0_2 | ~spl0_8)), 2.26/2.42 inference(resolution,[],[f1309,f332])). 2.26/2.42 tff(f332,plain,( 2.26/2.42 ( ! [X2:$int,X3:$int] : ($less(f(3),X3) | ~$less(X2,X3) | ~$less(9,X2)) ) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f86,f10])). 2.26/2.42 tff(f8397,plain,( 2.26/2.42 spl0_94 | spl0_96 | spl0_19), 2.26/2.42 inference(avatar_split_clause,[],[f144,f82,f8394,f8391])). 2.26/2.42 tff(f8394,plain,( 2.26/2.42 spl0_96 <=> $less(7,f(4))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_96])])). 2.26/2.42 tff(f82,plain,( 2.26/2.42 spl0_19 <=> ~$less(f(4),7)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])). 2.26/2.42 tff(f144,plain,( 2.26/2.42 $less(7,f(4)) | f(4) = 7 | ~spl0_19), 2.26/2.42 inference(resolution,[],[f83,f11])). 2.26/2.42 tff(f83,plain,( 2.26/2.42 ~$less(f(4),7) | ~spl0_19), 2.26/2.42 inference(avatar_component_clause,[],[f82])). 2.26/2.42 tff(f8396,plain,( 2.26/2.42 spl0_94 | spl0_96 | spl0_19), 2.26/2.42 inference(avatar_split_clause,[],[f145,f82,f8394,f8391])). 2.26/2.42 tff(f145,plain,( 2.26/2.42 $less(7,f(4)) | f(4) = 7 | ~spl0_19), 2.26/2.42 inference(resolution,[],[f83,f11])). 2.26/2.42 tff(f8389,plain,( 2.26/2.42 ~spl0_93 | ~spl0_4), 2.26/2.42 inference(avatar_split_clause,[],[f255,f34,f8387])). 2.26/2.42 tff(f8387,plain,( 2.26/2.42 spl0_93 <=> ~$less(9,f(4))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_93])])). 2.26/2.42 tff(f255,plain,( 2.26/2.42 ~$less(9,f(4)) | ~spl0_4), 2.26/2.42 inference(resolution,[],[f68,f9])). 2.26/2.42 tff(f68,plain,( 2.26/2.42 ( ! [X1:$int] : ($less(f(4),X1) | ~$less(9,X1)) ) | ~spl0_4), 2.26/2.42 inference(resolution,[],[f35,f10])). 2.26/2.42 tff(f8385,plain,( 2.26/2.42 ~spl0_85 | ~spl0_6), 2.26/2.42 inference(avatar_split_clause,[],[f272,f38,f8359])). 2.26/2.42 tff(f8359,plain,( 2.26/2.42 spl0_85 <=> ~$less(f(4),6)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_85])])). 2.26/2.42 tff(f272,plain,( 2.26/2.42 ~$less(f(4),6) | ~spl0_6), 2.26/2.42 inference(resolution,[],[f76,f9])). 2.26/2.42 tff(f8384,plain,( 2.26/2.42 spl0_90 | ~spl0_4), 2.26/2.42 inference(avatar_split_clause,[],[f470,f34,f8382])). 2.26/2.42 tff(f8382,plain,( 2.26/2.42 spl0_90 <=> $less(-9,$uminus(f(4)))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_90])])). 2.26/2.42 tff(f470,plain,( 2.26/2.42 $less(-9,$uminus(f(4))) | ~spl0_4), 2.26/2.42 inference(evaluation,[],[f463])). 2.26/2.42 tff(f463,plain,( 2.26/2.42 $less(0,$sum(9,$uminus(f(4)))) | ~spl0_4), 2.26/2.42 inference(superposition,[],[f69,f8])). 2.26/2.42 tff(f69,plain,( 2.26/2.42 ( ! [X2:$int] : ($less($sum(f(4),X2),$sum(9,X2))) ) | ~spl0_4), 2.26/2.42 inference(resolution,[],[f35,f12])). 2.26/2.42 tff(f8379,plain,( 2.26/2.42 spl0_88 | ~spl0_6), 2.26/2.42 inference(avatar_split_clause,[],[f509,f38,f8377])). 2.26/2.42 tff(f8377,plain,( 2.26/2.42 spl0_88 <=> $less($uminus(f(4)),-6)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_88])])). 2.26/2.42 tff(f509,plain,( 2.26/2.42 $less($uminus(f(4)),-6) | ~spl0_6), 2.26/2.42 inference(evaluation,[],[f508])). 2.26/2.42 tff(f508,plain,( 2.26/2.42 $less($sum(6,$uminus(f(4))),0) | ~spl0_6), 2.26/2.42 inference(superposition,[],[f78,f8])). 2.26/2.42 tff(f78,plain,( 2.26/2.42 ( ! [X2:$int] : ($less($sum(6,X2),$sum(f(4),X2))) ) | ~spl0_6), 2.26/2.42 inference(resolution,[],[f39,f12])). 2.26/2.42 tff(f8365,plain,( 2.26/2.42 spl0_86 | ~spl0_0 | ~spl0_6 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f3777,f109,f38,f26,f8363])). 2.26/2.42 tff(f8363,plain,( 2.26/2.42 spl0_86 <=> $less(5,f(4))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_86])])). 2.26/2.42 tff(f3777,plain,( 2.26/2.42 $less(5,f(4)) | (~spl0_0 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f1937,f39])). 2.26/2.42 tff(f8361,plain,( 2.26/2.42 ~spl0_85 | ~spl0_0 | ~spl0_6 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f3807,f109,f38,f26,f8359])). 2.26/2.42 tff(f3807,plain,( 2.26/2.42 ~$less(f(4),6) | (~spl0_0 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f2199,f39])). 2.26/2.42 tff(f8357,plain,( 2.26/2.42 ~spl0_83 | ~spl0_2 | ~spl0_6 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f3907,f109,f38,f30,f8355])). 2.26/2.42 tff(f8355,plain,( 2.26/2.42 spl0_83 <=> ~$less(f(4),1)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_83])])). 2.26/2.42 tff(f3907,plain,( 2.26/2.42 ~$less(f(4),1) | (~spl0_2 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3904])). 2.26/2.42 tff(f3904,plain,( 2.26/2.42 ~$less(f(4),1) | ~$less(2,6) | (~spl0_2 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f2300,f76])). 2.26/2.42 tff(f8353,plain,( 2.26/2.42 ~spl0_81 | ~spl0_0 | ~spl0_6 | spl0_13 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f4684,f109,f55,f38,f26,f8351])). 2.26/2.42 tff(f8351,plain,( 2.26/2.42 spl0_81 <=> ~$less(f(4),0)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_81])])). 2.26/2.42 tff(f4684,plain,( 2.26/2.42 ~$less(f(4),0) | (~spl0_0 | ~spl0_6 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f4681])). 2.26/2.42 tff(f4681,plain,( 2.26/2.42 ~$less(f(4),0) | ~$less(1,6) | (~spl0_0 | ~spl0_6 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3322,f76])). 2.26/2.42 tff(f8349,plain,( 2.26/2.42 spl0_78 | ~spl0_2 | ~spl0_6 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f4945,f109,f38,f30,f8347])). 2.26/2.42 tff(f4945,plain,( 2.26/2.42 $less(-2,f(4)) | (~spl0_2 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f4942])). 2.26/2.42 tff(f4942,plain,( 2.26/2.42 $less(-2,f(4)) | ~$less(2,6) | (~spl0_2 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3516,f76])). 2.26/2.42 tff(f8345,plain,( 2.26/2.42 ~spl0_77 | ~spl0_2 | ~spl0_6 | spl0_15 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f4976,f109,f64,f38,f30,f8343])). 2.26/2.42 tff(f8343,plain,( 2.26/2.42 spl0_77 <=> ~$less(f(4),-2)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_77])])). 2.26/2.42 tff(f4976,plain,( 2.26/2.42 ~$less(f(4),-2) | (~spl0_2 | ~spl0_6 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f4973])). 2.26/2.42 tff(f4973,plain,( 2.26/2.42 ~$less(f(4),-2) | ~$less(1,6) | (~spl0_2 | ~spl0_6 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3623,f76])). 2.26/2.42 tff(f8338,plain,( 2.26/2.42 spl0_74 | ~spl0_0 | ~spl0_2 | ~spl0_6 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6200,f109,f38,f30,f26,f8335])). 2.26/2.42 tff(f6200,plain,( 2.26/2.42 $less(-1,f(4)) | (~spl0_0 | ~spl0_2 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6195])). 2.26/2.42 tff(f6195,plain,( 2.26/2.42 $less(-1,f(4)) | ~$less(3,6) | (~spl0_0 | ~spl0_2 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3336,f76])). 2.26/2.42 tff(f8337,plain,( 2.26/2.42 spl0_74 | ~spl0_0 | ~spl0_6 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f6442,f109,f38,f26,f8335])). 2.26/2.42 tff(f6442,plain,( 2.26/2.42 $less(-1,f(4)) | (~spl0_0 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f6436])). 2.26/2.42 tff(f6436,plain,( 2.26/2.42 $less(-1,f(4)) | ~$less(0,6) | (~spl0_0 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3453,f76])). 2.26/2.42 tff(f8333,plain,( 2.26/2.42 spl0_72 | ~spl0_2 | ~spl0_6 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f7054,f109,f38,f30,f8331])). 2.26/2.42 tff(f8331,plain,( 2.26/2.42 spl0_72 <=> $less(0,f(4))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_72])])). 2.26/2.42 tff(f7054,plain,( 2.26/2.42 $less(0,f(4)) | (~spl0_2 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f7046])). 2.26/2.42 tff(f7046,plain,( 2.26/2.42 $less(0,f(4)) | ~$less(2,6) | (~spl0_2 | ~spl0_6 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3669,f76])). 2.26/2.42 tff(f7955,plain,( 2.26/2.42 ~spl0_24 | ~spl0_68), 2.26/2.42 inference(avatar_contradiction_clause,[],[f7954])). 2.26/2.42 tff(f7954,plain,( 2.26/2.42 $false | (~spl0_24 | ~spl0_68)), 2.26/2.42 inference(evaluation,[],[f7953])). 2.26/2.42 tff(f7953,plain,( 2.26/2.42 5 = 3 | (~spl0_24 | ~spl0_68)), 2.26/2.42 inference(trivial_inequality_removal,[],[f7952])). 2.26/2.42 tff(f7952,plain,( 2.26/2.42 7 != 7 | 5 = 3 | (~spl0_24 | ~spl0_68)), 2.26/2.42 inference(superposition,[],[f1845,f5156])). 2.26/2.42 tff(f5161,plain,( 2.26/2.42 spl0_68 | spl0_70 | spl0_23), 2.26/2.42 inference(avatar_split_clause,[],[f165,f100,f5158,f5155])). 2.26/2.42 tff(f5158,plain,( 2.26/2.42 spl0_70 <=> $less(7,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_70])])). 2.26/2.42 tff(f100,plain,( 2.26/2.42 spl0_23 <=> ~$less(f(3),7)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])). 2.26/2.42 tff(f165,plain,( 2.26/2.42 $less(7,f(3)) | f(3) = 7 | ~spl0_23), 2.26/2.42 inference(resolution,[],[f101,f11])). 2.26/2.42 tff(f101,plain,( 2.26/2.42 ~$less(f(3),7) | ~spl0_23), 2.26/2.42 inference(avatar_component_clause,[],[f100])). 2.26/2.42 tff(f5160,plain,( 2.26/2.42 spl0_68 | spl0_70 | spl0_23), 2.26/2.42 inference(avatar_split_clause,[],[f166,f100,f5158,f5155])). 2.26/2.42 tff(f166,plain,( 2.26/2.42 $less(7,f(3)) | f(3) = 7 | ~spl0_23), 2.26/2.42 inference(resolution,[],[f101,f11])). 2.26/2.42 tff(f5153,plain,( 2.26/2.42 ~spl0_67 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f330,f42,f5151])). 2.26/2.42 tff(f330,plain,( 2.26/2.42 ~$less(9,f(3)) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f86,f9])). 2.26/2.42 tff(f5149,plain,( 2.26/2.42 ~spl0_59 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f348,f46,f5110])). 2.26/2.42 tff(f348,plain,( 2.26/2.42 ~$less(f(3),6) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f94,f9])). 2.26/2.42 tff(f5148,plain,( 2.26/2.42 spl0_64 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f542,f42,f5146])). 2.26/2.42 tff(f542,plain,( 2.26/2.42 $less(-9,$uminus(f(3))) | ~spl0_8), 2.26/2.42 inference(evaluation,[],[f535])). 2.26/2.42 tff(f535,plain,( 2.26/2.42 $less(0,$sum(9,$uminus(f(3)))) | ~spl0_8), 2.26/2.42 inference(superposition,[],[f87,f8])). 2.26/2.42 tff(f5143,plain,( 2.26/2.42 spl0_62 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f571,f46,f5141])). 2.26/2.42 tff(f571,plain,( 2.26/2.42 $less($uminus(f(3)),-6) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f570])). 2.26/2.42 tff(f570,plain,( 2.26/2.42 $less($sum(6,$uminus(f(3))),0) | ~spl0_10), 2.26/2.42 inference(superposition,[],[f96,f8])). 2.26/2.42 tff(f5116,plain,( 2.26/2.42 spl0_60 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f3778,f109,f46,f26,f5114])). 2.26/2.42 tff(f3778,plain,( 2.26/2.42 $less(5,f(3)) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f1937,f47])). 2.26/2.42 tff(f5112,plain,( 2.26/2.42 ~spl0_59 | ~spl0_0 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f3808,f109,f46,f26,f5110])). 2.26/2.42 tff(f3808,plain,( 2.26/2.42 ~$less(f(3),6) | (~spl0_0 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f2199,f47])). 2.26/2.42 tff(f5107,plain,( 2.26/2.42 ~spl0_57 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f3906,f109,f46,f30,f5105])). 2.26/2.42 tff(f3906,plain,( 2.26/2.42 ~$less(f(3),1) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f3905])). 2.26/2.42 tff(f3905,plain,( 2.26/2.42 ~$less(f(3),1) | ~$less(2,6) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f2300,f94])). 2.26/2.42 tff(f5103,plain,( 2.26/2.42 ~spl0_53 | ~spl0_0 | ~spl0_10 | spl0_13 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f4683,f109,f55,f46,f26,f5096])). 2.26/2.42 tff(f4683,plain,( 2.26/2.42 ~$less(f(3),0) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f4682])). 2.26/2.42 tff(f4682,plain,( 2.26/2.42 ~$less(f(3),0) | ~$less(1,6) | (~spl0_0 | ~spl0_10 | ~spl0_13 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3322,f94])). 2.26/2.42 tff(f5102,plain,( 2.26/2.42 spl0_54 | ~spl0_0 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_32), 2.26/2.42 inference(avatar_split_clause,[],[f4714,f136,f109,f46,f38,f26,f5100])). 2.26/2.42 tff(f136,plain,( 2.26/2.42 spl0_32 <=> f(4) = 8), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_32])])). 2.26/2.42 tff(f4714,plain,( 2.26/2.42 $less(-1,f(3)) | (~spl0_0 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_32)), 2.26/2.42 inference(evaluation,[],[f4713])). 2.26/2.42 tff(f4713,plain,( 2.26/2.42 $less(-1,f(3)) | ~$less(2,6) | (~spl0_0 | ~spl0_6 | ~spl0_10 | ~spl0_24 | ~spl0_32)), 2.26/2.42 inference(resolution,[],[f3330,f94])). 2.26/2.42 tff(f3330,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less(2,X21) | $less(-1,X21)) ) | (~spl0_0 | ~spl0_6 | ~spl0_24 | ~spl0_32)), 2.26/2.42 inference(evaluation,[],[f3329])). 2.26/2.42 tff(f3329,plain,( 2.26/2.42 ( ! [X21:$int] : ($less(6,$sum(7,X21)) | ~$less(2,X21)) ) | (~spl0_0 | ~spl0_6 | ~spl0_24 | ~spl0_32)), 2.26/2.42 inference(forward_demodulation,[],[f3328,f110])). 2.26/2.42 tff(f3328,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less(2,X21) | $less(6,$sum(f(5),X21))) ) | (~spl0_0 | ~spl0_6 | ~spl0_32)), 2.26/2.42 inference(evaluation,[],[f3327])). 2.26/2.42 tff(f3327,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less(8,$sum(6,X21)) | $less(6,$sum(f(5),X21))) ) | (~spl0_0 | ~spl0_6 | ~spl0_32)), 2.26/2.42 inference(forward_demodulation,[],[f3253,f137])). 2.26/2.42 tff(f137,plain,( 2.26/2.42 f(4) = 8 | ~spl0_32), 2.26/2.42 inference(avatar_component_clause,[],[f136])). 2.26/2.42 tff(f3253,plain,( 2.26/2.42 ( ! [X21:$int] : (~$less(f(4),$sum(6,X21)) | $less(6,$sum(f(5),X21))) ) | (~spl0_0 | ~spl0_6)), 2.26/2.42 inference(resolution,[],[f393,f77])). 2.26/2.42 tff(f77,plain,( 2.26/2.42 ( ! [X1:$int] : (~$less(f(4),X1) | $less(6,X1)) ) | ~spl0_6), 2.26/2.42 inference(resolution,[],[f39,f10])). 2.26/2.42 tff(f5098,plain,( 2.26/2.42 ~spl0_53 | ~spl0_0 | ~spl0_10 | spl0_19 | ~spl0_24 | ~spl0_32), 2.26/2.42 inference(avatar_split_clause,[],[f4807,f136,f109,f82,f46,f26,f5096])). 2.26/2.42 tff(f4807,plain,( 2.26/2.42 ~$less(f(3),0) | (~spl0_0 | ~spl0_10 | ~spl0_19 | ~spl0_24 | ~spl0_32)), 2.26/2.42 inference(evaluation,[],[f4806])). 2.26/2.42 tff(f4806,plain,( 2.26/2.42 ~$less(f(3),0) | ~$less(2,6) | (~spl0_0 | ~spl0_10 | ~spl0_19 | ~spl0_24 | ~spl0_32)), 2.26/2.42 inference(resolution,[],[f3359,f94])). 2.26/2.42 tff(f3359,plain,( 2.26/2.42 ( ! [X39:$int] : (~$less(2,X39) | ~$less(X39,0)) ) | (~spl0_0 | ~spl0_19 | ~spl0_24 | ~spl0_32)), 2.26/2.42 inference(evaluation,[],[f3358])). 2.26/2.42 tff(f3358,plain,( 2.26/2.42 ( ! [X39:$int] : (~$less($sum(7,X39),7) | ~$less(2,X39)) ) | (~spl0_0 | ~spl0_19 | ~spl0_24 | ~spl0_32)), 2.26/2.42 inference(forward_demodulation,[],[f3289,f110])). 2.26/2.42 tff(f3289,plain,( 2.26/2.42 ( ! [X39:$int] : (~$less(2,X39) | ~$less($sum(f(5),X39),7)) ) | (~spl0_0 | ~spl0_19 | ~spl0_32)), 2.26/2.42 inference(evaluation,[],[f3270])). 2.26/2.42 tff(f3270,plain,( 2.26/2.42 ( ! [X39:$int] : (~$less(8,$sum(6,X39)) | ~$less($sum(f(5),X39),7)) ) | (~spl0_0 | ~spl0_19 | ~spl0_32)), 2.26/2.42 inference(resolution,[],[f393,f148])). 2.26/2.42 tff(f148,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(8,X0) | ~$less(X0,7)) ) | (~spl0_19 | ~spl0_32)), 2.26/2.42 inference(forward_demodulation,[],[f143,f137])). 2.26/2.42 tff(f143,plain,( 2.26/2.42 ( ! [X0:$int] : (~$less(f(4),X0) | ~$less(X0,7)) ) | ~spl0_19), 2.26/2.42 inference(resolution,[],[f83,f10])). 2.26/2.42 tff(f5088,plain,( 2.26/2.42 spl0_50 | ~spl0_2 | ~spl0_10 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f4944,f109,f46,f30,f5086])). 2.26/2.42 tff(f4944,plain,( 2.26/2.42 $less(-2,f(3)) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f4943])). 2.26/2.42 tff(f4943,plain,( 2.26/2.42 $less(-2,f(3)) | ~$less(2,6) | (~spl0_2 | ~spl0_10 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3516,f94])). 2.26/2.42 tff(f5084,plain,( 2.26/2.42 ~spl0_49 | ~spl0_2 | ~spl0_10 | spl0_15 | ~spl0_24), 2.26/2.42 inference(avatar_split_clause,[],[f4975,f109,f64,f46,f30,f5082])). 2.26/2.42 tff(f4975,plain,( 2.26/2.42 ~$less(f(3),-2) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(evaluation,[],[f4974])). 2.26/2.42 tff(f4974,plain,( 2.26/2.42 ~$less(f(3),-2) | ~$less(1,6) | (~spl0_2 | ~spl0_10 | ~spl0_15 | ~spl0_24)), 2.26/2.42 inference(resolution,[],[f3623,f94])). 2.26/2.42 tff(f5078,plain,( 2.26/2.42 ~spl0_32 | ~spl0_36), 2.26/2.42 inference(avatar_contradiction_clause,[],[f5077])). 2.26/2.42 tff(f5077,plain,( 2.26/2.42 $false | (~spl0_32 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f5076])). 2.26/2.42 tff(f5076,plain,( 2.26/2.42 3 = 4 | (~spl0_32 | ~spl0_36)), 2.26/2.42 inference(trivial_inequality_removal,[],[f5073])). 2.26/2.42 tff(f5073,plain,( 2.26/2.42 8 != 8 | 3 = 4 | (~spl0_32 | ~spl0_36)), 2.26/2.42 inference(superposition,[],[f370,f158])). 2.26/2.42 tff(f370,plain,( 2.26/2.42 ( ! [X4:$int] : (f(X4) != 8 | 4 = X4) ) | ~spl0_32), 2.26/2.42 inference(superposition,[],[f18,f137])). 2.26/2.42 tff(f1828,plain,( 2.26/2.42 ~spl0_47 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f176,f26,f1826])). 2.26/2.42 tff(f176,plain,( 2.26/2.42 ~$less(f(5),6) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f49,f9])). 2.26/2.42 tff(f1824,plain,( 2.26/2.42 ~spl0_45 | ~spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f226,f30,f1822])). 2.26/2.42 tff(f226,plain,( 2.26/2.42 ~$less(9,f(5)) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f59,f9])). 2.26/2.42 tff(f1819,plain,( 2.26/2.42 spl0_42 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f406,f26,f1817])). 2.26/2.42 tff(f406,plain,( 2.26/2.42 $less($uminus(f(5)),-6) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f405])). 2.26/2.42 tff(f405,plain,( 2.26/2.42 $less($sum(6,$uminus(f(5))),0) | ~spl0_0), 2.26/2.42 inference(superposition,[],[f51,f8])). 2.26/2.42 tff(f1815,plain,( 2.26/2.42 spl0_40 | ~spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f439,f30,f1813])). 2.26/2.42 tff(f439,plain,( 2.26/2.42 $less(-9,$uminus(f(5))) | ~spl0_2), 2.26/2.42 inference(evaluation,[],[f432])). 2.26/2.42 tff(f432,plain,( 2.26/2.42 $less(0,$sum(9,$uminus(f(5)))) | ~spl0_2), 2.26/2.42 inference(superposition,[],[f60,f8])). 2.26/2.42 tff(f1811,plain,( 2.26/2.42 ~spl0_28 | ~spl0_32), 2.26/2.42 inference(avatar_contradiction_clause,[],[f1810])). 2.26/2.42 tff(f1810,plain,( 2.26/2.42 $false | (~spl0_28 | ~spl0_32)), 2.26/2.42 inference(evaluation,[],[f1809])). 2.26/2.42 tff(f1809,plain,( 2.26/2.42 5 = 4 | (~spl0_28 | ~spl0_32)), 2.26/2.42 inference(trivial_inequality_removal,[],[f1804])). 2.26/2.42 tff(f1804,plain,( 2.26/2.42 8 != 8 | 5 = 4 | (~spl0_28 | ~spl0_32)), 2.26/2.42 inference(superposition,[],[f294,f137])). 2.26/2.42 tff(f294,plain,( 2.26/2.42 ( ! [X4:$int] : (f(X4) != 8 | 5 = X4) ) | ~spl0_28), 2.26/2.42 inference(superposition,[],[f18,f124])). 2.26/2.42 tff(f1808,plain,( 2.26/2.42 ~spl0_28 | ~spl0_36), 2.26/2.42 inference(avatar_contradiction_clause,[],[f1807])). 2.26/2.42 tff(f1807,plain,( 2.26/2.42 $false | (~spl0_28 | ~spl0_36)), 2.26/2.42 inference(evaluation,[],[f1806])). 2.26/2.42 tff(f1806,plain,( 2.26/2.42 5 = 3 | (~spl0_28 | ~spl0_36)), 2.26/2.42 inference(trivial_inequality_removal,[],[f1805])). 2.26/2.42 tff(f1805,plain,( 2.26/2.42 8 != 8 | 5 = 3 | (~spl0_28 | ~spl0_36)), 2.26/2.42 inference(superposition,[],[f294,f158])). 2.26/2.42 tff(f163,plain,( 2.26/2.42 spl0_36 | spl0_38 | spl0_21), 2.26/2.42 inference(avatar_split_clause,[],[f153,f91,f160,f157])). 2.26/2.42 tff(f91,plain,( 2.26/2.42 spl0_21 <=> ~$less(8,f(3))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])). 2.26/2.42 tff(f153,plain,( 2.26/2.42 $less(f(3),8) | f(3) = 8 | ~spl0_21), 2.26/2.42 inference(resolution,[],[f92,f11])). 2.26/2.42 tff(f92,plain,( 2.26/2.42 ~$less(8,f(3)) | ~spl0_21), 2.26/2.42 inference(avatar_component_clause,[],[f91])). 2.26/2.42 tff(f162,plain,( 2.26/2.42 spl0_36 | spl0_38 | spl0_21), 2.26/2.42 inference(avatar_split_clause,[],[f152,f91,f160,f157])). 2.26/2.42 tff(f152,plain,( 2.26/2.42 $less(f(3),8) | f(3) = 8 | ~spl0_21), 2.26/2.42 inference(resolution,[],[f92,f11])). 2.26/2.42 tff(f142,plain,( 2.26/2.42 spl0_32 | spl0_34 | spl0_17), 2.26/2.42 inference(avatar_split_clause,[],[f132,f73,f139,f136])). 2.26/2.42 tff(f139,plain,( 2.26/2.42 spl0_34 <=> $less(f(4),8)), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_34])])). 2.26/2.42 tff(f73,plain,( 2.26/2.42 spl0_17 <=> ~$less(8,f(4))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])). 2.26/2.42 tff(f132,plain,( 2.26/2.42 $less(f(4),8) | f(4) = 8 | ~spl0_17), 2.26/2.42 inference(resolution,[],[f74,f11])). 2.26/2.42 tff(f74,plain,( 2.26/2.42 ~$less(8,f(4)) | ~spl0_17), 2.26/2.42 inference(avatar_component_clause,[],[f73])). 2.26/2.42 tff(f141,plain,( 2.26/2.42 spl0_32 | spl0_34 | spl0_17), 2.26/2.42 inference(avatar_split_clause,[],[f131,f73,f139,f136])). 2.26/2.42 tff(f131,plain,( 2.26/2.42 $less(f(4),8) | f(4) = 8 | ~spl0_17), 2.26/2.42 inference(resolution,[],[f74,f11])). 2.26/2.42 tff(f129,plain,( 2.26/2.42 spl0_28 | spl0_30 | spl0_15), 2.26/2.42 inference(avatar_split_clause,[],[f119,f64,f126,f123])). 2.26/2.42 tff(f119,plain,( 2.26/2.42 $less(f(5),8) | f(5) = 8 | ~spl0_15), 2.26/2.42 inference(resolution,[],[f65,f11])). 2.26/2.42 tff(f128,plain,( 2.26/2.42 spl0_28 | spl0_30 | spl0_15), 2.26/2.42 inference(avatar_split_clause,[],[f118,f64,f126,f123])). 2.26/2.42 tff(f118,plain,( 2.26/2.42 $less(f(5),8) | f(5) = 8 | ~spl0_15), 2.26/2.42 inference(resolution,[],[f65,f11])). 2.26/2.42 tff(f115,plain,( 2.26/2.42 spl0_24 | spl0_26 | spl0_13), 2.26/2.42 inference(avatar_split_clause,[],[f105,f55,f112,f109])). 2.26/2.42 tff(f112,plain,( 2.26/2.42 spl0_26 <=> $less(7,f(5))), 2.26/2.42 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])). 2.26/2.42 tff(f105,plain,( 2.26/2.42 $less(7,f(5)) | f(5) = 7 | ~spl0_13), 2.26/2.42 inference(resolution,[],[f56,f11])). 2.26/2.42 tff(f114,plain,( 2.26/2.42 spl0_24 | spl0_26 | spl0_13), 2.26/2.42 inference(avatar_split_clause,[],[f104,f55,f112,f109])). 2.26/2.42 tff(f104,plain,( 2.26/2.42 $less(7,f(5)) | f(5) = 7 | ~spl0_13), 2.26/2.42 inference(resolution,[],[f56,f11])). 2.26/2.42 tff(f102,plain,( 2.26/2.42 ~spl0_23 | ~spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f98,f46,f100])). 2.26/2.42 tff(f98,plain,( 2.26/2.42 ~$less(f(3),7) | ~spl0_10), 2.26/2.42 inference(evaluation,[],[f97])). 2.26/2.42 tff(f97,plain,( 2.26/2.42 ~$less(f(3),$sum(6,1)) | ~spl0_10), 2.26/2.42 inference(resolution,[],[f47,f15])). 2.26/2.42 tff(f93,plain,( 2.26/2.42 ~spl0_21 | ~spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f89,f42,f91])). 2.26/2.42 tff(f89,plain,( 2.26/2.42 ~$less(8,f(3)) | ~spl0_8), 2.26/2.42 inference(evaluation,[],[f88])). 2.26/2.42 tff(f88,plain,( 2.26/2.42 ~$less(9,$sum(f(3),1)) | ~spl0_8), 2.26/2.42 inference(resolution,[],[f43,f15])). 2.26/2.42 tff(f84,plain,( 2.26/2.42 ~spl0_19 | ~spl0_6), 2.26/2.42 inference(avatar_split_clause,[],[f80,f38,f82])). 2.26/2.42 tff(f80,plain,( 2.26/2.42 ~$less(f(4),7) | ~spl0_6), 2.26/2.42 inference(evaluation,[],[f79])). 2.26/2.42 tff(f79,plain,( 2.26/2.42 ~$less(f(4),$sum(6,1)) | ~spl0_6), 2.26/2.42 inference(resolution,[],[f39,f15])). 2.26/2.42 tff(f75,plain,( 2.26/2.42 ~spl0_17 | ~spl0_4), 2.26/2.42 inference(avatar_split_clause,[],[f71,f34,f73])). 2.26/2.42 tff(f71,plain,( 2.26/2.42 ~$less(8,f(4)) | ~spl0_4), 2.26/2.42 inference(evaluation,[],[f70])). 2.26/2.42 tff(f70,plain,( 2.26/2.42 ~$less(9,$sum(f(4),1)) | ~spl0_4), 2.26/2.42 inference(resolution,[],[f35,f15])). 2.26/2.42 tff(f66,plain,( 2.26/2.42 ~spl0_15 | ~spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f62,f30,f64])). 2.26/2.42 tff(f62,plain,( 2.26/2.42 ~$less(8,f(5)) | ~spl0_2), 2.26/2.42 inference(evaluation,[],[f61])). 2.26/2.42 tff(f61,plain,( 2.26/2.42 ~$less(9,$sum(f(5),1)) | ~spl0_2), 2.26/2.42 inference(resolution,[],[f31,f15])). 2.26/2.42 tff(f57,plain,( 2.26/2.42 ~spl0_13 | ~spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f53,f26,f55])). 2.26/2.42 tff(f53,plain,( 2.26/2.42 ~$less(f(5),7) | ~spl0_0), 2.26/2.42 inference(evaluation,[],[f52])). 2.26/2.42 tff(f52,plain,( 2.26/2.42 ~$less(f(5),$sum(6,1)) | ~spl0_0), 2.26/2.42 inference(resolution,[],[f27,f15])). 2.26/2.42 tff(f48,plain,( 2.26/2.42 spl0_10), 2.26/2.42 inference(avatar_split_clause,[],[f19,f46])). 2.26/2.42 tff(f19,plain,( 2.26/2.42 $less(6,f(3))), 2.26/2.42 inference(cnf_transformation,[],[f17])). 2.26/2.42 tff(f44,plain,( 2.26/2.42 spl0_8), 2.26/2.42 inference(avatar_split_clause,[],[f20,f42])). 2.26/2.42 tff(f20,plain,( 2.26/2.42 $less(f(3),9)), 2.26/2.42 inference(cnf_transformation,[],[f17])). 2.26/2.42 tff(f40,plain,( 2.26/2.42 spl0_6), 2.26/2.42 inference(avatar_split_clause,[],[f21,f38])). 2.26/2.42 tff(f21,plain,( 2.26/2.42 $less(6,f(4))), 2.26/2.42 inference(cnf_transformation,[],[f17])). 2.26/2.42 tff(f36,plain,( 2.26/2.42 spl0_4), 2.26/2.42 inference(avatar_split_clause,[],[f22,f34])). 2.26/2.42 tff(f22,plain,( 2.26/2.42 $less(f(4),9)), 2.26/2.42 inference(cnf_transformation,[],[f17])). 2.26/2.42 tff(f32,plain,( 2.26/2.42 spl0_2), 2.26/2.42 inference(avatar_split_clause,[],[f23,f30])). 2.26/2.42 tff(f23,plain,( 2.26/2.42 $less(f(5),9)), 2.26/2.42 inference(cnf_transformation,[],[f17])). 2.26/2.42 tff(f28,plain,( 2.26/2.42 spl0_0), 2.26/2.42 inference(avatar_split_clause,[],[f24,f26])). 2.26/2.42 tff(f24,plain,( 2.26/2.42 $less(6,f(5))), 2.26/2.42 inference(cnf_transformation,[],[f17])). 2.26/2.42 % SZS output end Proof for theBenchmark 2.26/2.42 % ------------------------------ 2.26/2.42 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.26/2.42 % Termination reason: Refutation 2.26/2.42 2.26/2.42 % Memory used [KB]: 9722 2.26/2.42 % Time elapsed: 0.222 s 2.26/2.42 % ------------------------------ 2.26/2.42 % ------------------------------ 2.26/2.42 % Success in time 2.071 s 2.26/2.42 EOF