0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --mode casc -t %d %s 0.13/0.34 % Computer : n027.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 : 180 0.13/0.34 % DateTime : Thu Aug 29 10:39:39 EDT 2019 0.13/0.34 % CPUTime : 0.19/0.41 % dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.71/0.91 % Time limit reached! 0.71/0.91 % ------------------------------ 0.71/0.91 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.71/0.91 % Termination reason: Time limit 0.71/0.91 % Termination phase: Saturation 0.71/0.91 0.71/0.91 % Memory used [KB]: 7164 0.71/0.91 % Time elapsed: 0.500 s 0.71/0.91 % ------------------------------ 0.71/0.91 % ------------------------------ 0.74/0.93 % 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_11 on theBenchmark 2.35/2.53 % Time limit reached! 2.35/2.53 % ------------------------------ 2.35/2.53 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.35/2.53 % Termination reason: Time limit 2.35/2.53 % Termination phase: Saturation 2.35/2.53 2.35/2.53 % Memory used [KB]: 28528 2.35/2.53 % Time elapsed: 1.600 s 2.35/2.53 % ------------------------------ 2.35/2.53 % ------------------------------ 2.35/2.56 % dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 3.42/3.56 % Time limit reached! 3.42/3.56 % ------------------------------ 3.42/3.56 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.42/3.56 % Termination reason: Time limit 3.42/3.56 % Termination phase: Saturation 3.42/3.56 3.42/3.56 % Memory used [KB]: 8187 3.42/3.56 % Time elapsed: 1.0000 s 3.42/3.56 % ------------------------------ 3.42/3.56 % ------------------------------ 3.42/3.59 % lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_74 on theBenchmark 13.36/13.39 % Time limit reached! 13.36/13.39 % ------------------------------ 13.36/13.39 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.36/13.39 % Termination reason: Time limit 13.36/13.39 % Termination phase: Saturation 13.36/13.39 13.36/13.39 % Memory used [KB]: 60510 13.36/13.39 % Time elapsed: 9.800 s 13.36/13.39 % ------------------------------ 13.36/13.39 % ------------------------------ 13.43/13.42 % dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 15.03/15.02 % Time limit reached! 15.03/15.02 % ------------------------------ 15.03/15.02 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 15.03/15.02 % Termination reason: Time limit 15.03/15.02 % Termination phase: Saturation 15.03/15.02 15.03/15.02 % Memory used [KB]: 17654 15.03/15.02 % Time elapsed: 1.600 s 15.03/15.02 % ------------------------------ 15.03/15.02 % ------------------------------ 15.03/15.05 % dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_9 on theBenchmark 16.35/16.35 % Time limit reached! 16.35/16.35 % ------------------------------ 16.35/16.35 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.35/16.35 % Termination reason: Time limit 16.35/16.35 % Termination phase: Saturation 16.35/16.35 16.35/16.35 % Memory used [KB]: 10618 16.35/16.35 % Time elapsed: 1.300 s 16.35/16.35 % ------------------------------ 16.35/16.35 % ------------------------------ 16.43/16.37 % lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 17.74/17.67 % Time limit reached! 17.74/17.67 % ------------------------------ 17.74/17.67 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.74/17.67 % Termination reason: Time limit 17.74/17.67 % Termination phase: Saturation 17.74/17.67 17.74/17.67 % Memory used [KB]: 20852 17.74/17.67 % Time elapsed: 1.300 s 17.74/17.67 % ------------------------------ 17.74/17.67 % ------------------------------ 17.74/17.70 % lrs+10_5:4_aac=none:add=large:afr=on:afp=100000:afq=1.1:anc=none:bd=off:bsr=on:er=known:fsr=off:lma=on:nm=0:nwc=1:sas=z3:stl=30:sos=on:updr=off_17 on theBenchmark 17.79/17.98 % Refutation found. Thanks to Tanya! 17.79/17.98 % SZS status Theorem for theBenchmark 17.79/17.98 % SZS output start Proof for theBenchmark 17.79/17.98 tff(type_def_5, type, uni: $tType). 17.79/17.98 tff(type_def_6, type, ty: $tType). 17.79/17.98 tff(type_def_7, type, bool1: $tType). 17.79/17.98 tff(type_def_8, type, tuple02: $tType). 17.79/17.98 tff(type_def_9, type, lpintcm_intrp: $tType). 17.79/17.98 tff(type_def_10, type, array_int: $tType). 17.79/17.98 tff(type_def_11, type, map_int_int: $tType). 17.79/17.98 tff(func_def_0, type, witness1: ty > uni). 17.79/17.98 tff(func_def_1, type, int: ty). 17.79/17.98 tff(func_def_2, type, real: ty). 17.79/17.98 tff(func_def_3, type, bool: ty). 17.79/17.98 tff(func_def_4, type, true1: bool1). 17.79/17.98 tff(func_def_5, type, false1: bool1). 17.79/17.98 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 17.79/17.98 tff(func_def_7, type, tuple0: ty). 17.79/17.98 tff(func_def_8, type, tuple03: tuple02). 17.79/17.98 tff(func_def_9, type, qtmark: ty). 17.79/17.98 tff(func_def_10, type, abs1: $int > $int). 17.79/17.98 tff(func_def_11, type, div2: ($int * $int) > $int). 17.79/17.98 tff(func_def_12, type, mod2: ($int * $int) > $int). 17.79/17.98 tff(func_def_13, type, tuple2: (ty * ty) > ty). 17.79/17.98 tff(func_def_14, type, tuple21: (ty * ty * uni * uni) > uni). 17.79/17.98 tff(func_def_15, type, tuple2_proj_11: (ty * ty * uni) > uni). 17.79/17.98 tff(func_def_16, type, tuple2_proj_21: (ty * ty * uni) > uni). 17.79/17.98 tff(func_def_17, type, t2tb: lpintcm_intrp > uni). 17.79/17.98 tff(func_def_18, type, tb2t: uni > lpintcm_intrp). 17.79/17.98 tff(func_def_19, type, t2tb1: $int > uni). 17.79/17.98 tff(func_def_20, type, tb2t1: uni > $int). 17.79/17.98 tff(func_def_21, type, ref: ty > ty). 17.79/17.98 tff(func_def_22, type, mk_ref: (ty * uni) > uni). 17.79/17.98 tff(func_def_23, type, contents: (ty * uni) > uni). 17.79/17.98 tff(func_def_24, type, map: (ty * ty) > ty). 17.79/17.98 tff(func_def_25, type, get: (ty * ty * uni * uni) > uni). 17.79/17.98 tff(func_def_26, type, set: (ty * ty * uni * uni * uni) > uni). 17.79/17.98 tff(func_def_27, type, const: (ty * ty * uni) > uni). 17.79/17.98 tff(func_def_28, type, array: ty > ty). 17.79/17.98 tff(func_def_29, type, mk_array1: (ty * $int * uni) > uni). 17.79/17.98 tff(func_def_30, type, length1: (ty * uni) > $int). 17.79/17.98 tff(func_def_31, type, elts: (ty * uni) > uni). 17.79/17.98 tff(func_def_32, type, get2: (ty * uni * $int) > uni). 17.79/17.98 tff(func_def_33, type, set2: (ty * uni * $int * uni) > uni). 17.79/17.98 tff(func_def_34, type, make1: (ty * $int * uni) > uni). 17.79/17.98 tff(func_def_35, type, t2tb2: array_int > uni). 17.79/17.98 tff(func_def_36, type, tb2t2: uni > array_int). 17.79/17.98 tff(func_def_37, type, t2tb3: map_int_int > uni). 17.79/17.98 tff(func_def_38, type, tb2t3: uni > map_int_int). 17.79/17.98 tff(func_def_50, type, sK0: $int). 17.79/17.98 tff(func_def_51, type, sK1: map_int_int). 17.79/17.98 tff(func_def_52, type, sK2: map_int_int). 17.79/17.98 tff(func_def_53, type, sK3: $int). 17.79/17.98 tff(func_def_54, type, sK4: map_int_int). 17.79/17.98 tff(func_def_55, type, sK5: $int). 17.79/17.98 tff(func_def_56, type, sK6: $int). 17.79/17.98 tff(func_def_57, type, sK7: map_int_int). 17.79/17.98 tff(func_def_58, type, sK8: $int). 17.79/17.98 tff(func_def_59, type, sK9: $int > $int). 17.79/17.98 tff(func_def_60, type, sK10: $int > $int). 17.79/17.98 tff(func_def_61, type, sK11: $int > $int). 17.79/17.98 tff(func_def_62, type, sK12: $int > $int). 17.79/17.98 tff(func_def_63, type, sK13: (array_int * $int * $int) > $int). 17.79/17.98 tff(func_def_64, type, sK14: (lpintcm_intrp * lpintcm_intrp) > $int). 17.79/17.98 tff(func_def_65, type, sK15: (lpintcm_intrp * lpintcm_intrp) > $int). 17.79/17.98 tff(func_def_66, type, sK16: (lpintcm_intrp * lpintcm_intrp) > $int). 17.79/17.98 tff(func_def_67, type, sK17: (lpintcm_intrp * lpintcm_intrp) > $int). 17.79/17.98 tff(func_def_68, type, sK18: (lpintcm_intrp * lpintcm_intrp) > $int). 17.79/17.98 tff(func_def_69, type, sK19: (lpintcm_intrp * lpintcm_intrp) > $int). 17.79/17.98 tff(func_def_70, type, sK20: (lpintcm_intrp * lpintcm_intrp) > $int). 17.79/17.98 tff(func_def_71, type, sK21: ($int * $int) > $int). 17.79/17.98 tff(func_def_72, type, sK22: (array_int * $int) > $int). 17.79/17.98 tff(func_def_73, type, sK23: (array_int * $int) > $int). 17.79/17.98 tff(func_def_74, type, sK24: (array_int * $int) > $int). 17.79/17.98 tff(func_def_75, type, sK25: (array_int * $int) > $int). 17.79/17.98 tff(func_def_76, type, sK26: ($int * $int) > $int). 17.79/17.98 tff(pred_def_1, type, sort1: (ty * uni) > $o). 17.79/17.98 tff(pred_def_2, type, lt_nat1: ($int * $int) > $o). 17.79/17.98 tff(pred_def_3, type, lex1: (lpintcm_intrp * lpintcm_intrp) > $o). 17.79/17.98 tff(pred_def_4, type, even1: $int > $o). 17.79/17.98 tff(pred_def_5, type, odd1: $int > $o). 17.79/17.98 tff(pred_def_6, type, divides1: ($int * $int) > $o). 17.79/17.98 tff(pred_def_7, type, prime1: $int > $o). 17.79/17.98 tff(pred_def_8, type, no_prime_in1: ($int * $int) > $o). 17.79/17.98 tff(pred_def_9, type, first_primes1: (array_int * $int) > $o). 17.79/17.98 tff(f1,axiom,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (0 != X1 => (0 = $remainder_e(X0,X1) => divides1(X1,X0)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_divides_euclidean)). 17.79/17.98 tff(f2,axiom,( 17.79/17.98 ! [X0 : ty,X2 : uni,X3 : $int] : get(X0,int,elts(X0,X2),t2tb1(X3)) = get2(X0,X2,X3)), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def)). 17.79/17.98 tff(f4,axiom,( 17.79/17.98 ! [X6 : $int] : divides1(X6,X6)), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_refl)). 17.79/17.98 tff(f5,axiom,( 17.79/17.98 ! [X6 : $int] : (odd1(X6) => ~even1(X6))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odd_not_even)). 17.79/17.98 tff(f10,axiom,( 17.79/17.98 ! [X6 : $int] : (odd1(X6) => odd1($sum(X6,2)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odd_odd)). 17.79/17.98 tff(f16,axiom,( 17.79/17.98 ! [X0 : $int,X1 : $int,X8 : $int] : (divides1(X0,X1) => (divides1(X0,X8) => divides1(X0,$sum(X1,X8))))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_plusr)). 17.79/17.98 tff(f17,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (0 != X5 => $sum($product(X5,div2(X4,X5)),mod2(X4,X5)) = X4)), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mod)). 17.79/17.98 tff(f19,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int,X9 : $int] : ($less(0,X4) => $sum(X5,$quotient_e(X9,X4)) = $quotient_e($sum($product(X4,X5),X9),X4))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mult1)). 17.79/17.98 tff(f23,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (0 != X5 => $lesseq(abs1($product(div2(X4,X5),X5)),abs1(X4)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rounds_toward_zero)). 17.79/17.98 tff(f26,axiom,( 17.79/17.98 prime1(3)), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prime_3)). 17.79/17.98 tff(f27,axiom,( 17.79/17.98 ! [X13 : uni] : t2tb3(tb2t3(X13)) = X13), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3)). 17.79/17.98 tff(f32,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (0 != X5 => ($less(mod2(X4,X5),abs1(X5)) & $less($uminus(abs1(X5)),mod2(X4,X5))))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_bound)). 17.79/17.98 tff(f34,axiom,( 17.79/17.98 ! [X14 : array_int,X11 : $int] : ($lesseq(1,X11) => (first_primes1(X14,X11) => ! [X15 : $int] : (($lesseq(2,X15) & $lesseq(X15,tb2t1(get2(int,t2tb2(X14),$difference(X11,1))))) => (prime1(X15) => ? [X3 : $int] : ($lesseq(0,X3) & $less(X3,X11) & tb2t1(get2(int,t2tb2(X14),X3)) = X15)))))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_prime)). 17.79/17.98 tff(f36,axiom,( 17.79/17.98 ! [X14 : $int] : ($lesseq(2,X14) => (! [X15 : $int] : ($lesseq(2,X15) => (prime1(X15) => (($less(1,$product(X15,X15)) & $lesseq($product(X15,X15),X14)) => ~divides1(X15,X14)))) => prime1(X14)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',small_divisors)). 17.79/17.98 tff(f37,axiom,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (0 != X1 => (mod2(X0,X1) = 0 => divides1(X1,X0)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_divides_computer)). 17.79/17.98 tff(f39,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (lt_nat1(X4,X5) <=> ($lesseq(0,X5) & $less(X4,X5)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_nat_def)). 17.79/17.98 tff(f42,axiom,( 17.79/17.98 ! [X4 : $int] : mod2(X4,1) = 0), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_1)). 17.79/17.98 tff(f45,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int,X9 : $int] : (($less(0,X4) & $lesseq(0,X5) & $lesseq(0,X9)) => div2($sum($product(X4,X5),X9),X4) = $sum(X5,div2(X9,X4)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mult)). 17.79/17.98 tff(f46,axiom,( 17.79/17.98 ! [X14 : array_int,X11 : $int] : ((tb2t1(get2(int,t2tb2(X14),0)) = 2 & ! [X3 : $int] : (($lesseq(0,X3) & $less(X3,$difference(X11,1))) => no_prime_in1(tb2t1(get2(int,t2tb2(X14),X3)),tb2t1(get2(int,t2tb2(X14),$sum(X3,1))))) & ! [X3 : $int] : (($less(X3,X11) & $lesseq(0,X3)) => prime1(tb2t1(get2(int,t2tb2(X14),X3)))) & ! [X3 : $int,X13 : $int] : (($less(X3,X13) & $less(X13,X11) & $lesseq(0,X3)) => $less(tb2t1(get2(int,t2tb2(X14),X3)),tb2t1(get2(int,t2tb2(X14),X13))))) <=> first_primes1(X14,X11))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_primes_def)). 17.79/17.98 tff(f47,axiom,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (divides1(X0,X1) => (0 != X1 => $lesseq(abs1(X0),abs1(X1))))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_bounds)). 17.79/17.98 tff(f49,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (($lesseq(0,X4) & $less(X4,X5)) => mod2(X4,X5) = X4)), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_inf)). 17.79/17.98 tff(f51,axiom,( 17.79/17.98 ! [X17 : $int,X11 : $int] : (no_prime_in1(X17,X11) <=> ! [X4 : $int] : (($less(X4,X11) & $less(X17,X4)) => ~prime1(X4)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_prime_in_def)). 17.79/17.98 tff(f52,axiom,( 17.79/17.98 ! [X6 : $int] : (even1(X6) => ~odd1(X6))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',even_not_odd)). 17.79/17.98 tff(f54,axiom,( 17.79/17.98 ! [X14 : $int] : ((! [X6 : $int] : (($less(1,X6) & $less(X6,X14)) => ~divides1(X6,X14)) & $lesseq(2,X14)) <=> prime1(X14))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prime_def)). 17.79/17.98 tff(f55,axiom,( 17.79/17.98 prime1(2)), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prime_2)). 17.79/17.98 tff(f58,axiom,( 17.79/17.98 ! [X6 : $int] : (odd1(X6) => even1($sum(X6,1)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odd_even)). 17.79/17.98 tff(f64,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int,X9 : $int] : ($lesseq(X4,X5) => ($lesseq(0,X9) => $lesseq($product(X4,X9),$product(X5,X9))))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 17.79/17.98 tff(f65,axiom,( 17.79/17.98 ! [X13 : uni] : t2tb1(tb2t1(X13)) = X13), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 17.79/17.98 tff(f66,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int,X9 : $int] : ($less(0,X4) => $remainder_e(X9,X4) = $remainder_e($sum($product(X4,X5),X9),X4))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_mult1)). 17.79/17.98 tff(f67,axiom,( 17.79/17.98 ! [X0 : $int] : (divides1(2,X0) <=> even1(X0))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',even_divides)). 17.79/17.98 tff(f74,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (($less(0,X5) & $lesseq(0,X4)) => ($lesseq(div2(X4,X5),X4) & $lesseq(0,div2(X4,X5))))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_bound)). 17.79/17.98 tff(f76,axiom,( 17.79/17.98 ! [X0 : $int] : (odd1(X0) <=> ~divides1(2,X0))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odd_divides)). 17.79/17.98 tff(f77,conjecture,( 17.79/17.98 ! [X20 : $int] : ($lesseq(2,X20) => ($lesseq(0,X20) => ($lesseq(0,X20) => (($less(0,X20) & $lesseq(0,0)) => ! [X14 : map_int_int] : ((tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X14 & $lesseq(0,X20)) => (($less(1,X20) & $lesseq(0,1)) => ! [X25 : map_int_int] : ((tb2t3(set(int,int,t2tb3(X14),t2tb1(1),t2tb1(3))) = X25 & $lesseq(0,X20)) => ($lesseq(2,$difference(X20,1)) => ! [X6 : $int,X26 : map_int_int,X13 : $int] : (($lesseq(2,X13) & $lesseq(X13,$difference(X20,1))) => ((first_primes1(tb2t2(mk_array1(int,X20,t2tb3(X26))),X13) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X6) & odd1(X6) & $less(X6,$product(2,tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1))))))) => (($lesseq(0,X20) & $lesseq(1,1) & $less(1,X13) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X6) & $less(X6,$product(2,tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))))) & odd1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X6) & ! [X3 : $int] : (($lesseq(0,X3) & $less(X3,1)) => ~divides1(tb2t1(get(int,int,t2tb3(X26),t2tb1(X3))),X6)) & first_primes1(tb2t2(mk_array1(int,X20,t2tb3(X26))),X13)) => ! [X27 : $int] : ((prime1(X27) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X27) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X27)) => (($less(X13,X20) & $lesseq(0,X13)) => ! [X28 : map_int_int] : (($lesseq(0,X20) & tb2t3(set(int,int,t2tb3(X26),t2tb1(X13),t2tb1(X27))) = X28) => ! [X29 : $int] : ($sum(X27,2) = X29 => no_prime_in1(tb2t1(get(int,int,t2tb3(X28),t2tb1($difference($sum(X13,1),1)))),X29))))))))))))))))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_prime_numbers)). 17.79/17.98 tff(f78,negated_conjecture,( 17.79/17.98 ~! [X20 : $int] : ($lesseq(2,X20) => ($lesseq(0,X20) => ($lesseq(0,X20) => (($less(0,X20) & $lesseq(0,0)) => ! [X14 : map_int_int] : ((tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X14 & $lesseq(0,X20)) => (($less(1,X20) & $lesseq(0,1)) => ! [X25 : map_int_int] : ((tb2t3(set(int,int,t2tb3(X14),t2tb1(1),t2tb1(3))) = X25 & $lesseq(0,X20)) => ($lesseq(2,$difference(X20,1)) => ! [X6 : $int,X26 : map_int_int,X13 : $int] : (($lesseq(2,X13) & $lesseq(X13,$difference(X20,1))) => ((first_primes1(tb2t2(mk_array1(int,X20,t2tb3(X26))),X13) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X6) & odd1(X6) & $less(X6,$product(2,tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1))))))) => (($lesseq(0,X20) & $lesseq(1,1) & $less(1,X13) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X6) & $less(X6,$product(2,tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))))) & odd1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X6) & ! [X3 : $int] : (($lesseq(0,X3) & $less(X3,1)) => ~divides1(tb2t1(get(int,int,t2tb3(X26),t2tb1(X3))),X6)) & first_primes1(tb2t2(mk_array1(int,X20,t2tb3(X26))),X13)) => ! [X27 : $int] : ((prime1(X27) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X27) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($difference(X13,1)))),X27)) => (($less(X13,X20) & $lesseq(0,X13)) => ! [X28 : map_int_int] : (($lesseq(0,X20) & tb2t3(set(int,int,t2tb3(X26),t2tb1(X13),t2tb1(X27))) = X28) => ! [X29 : $int] : ($sum(X27,2) = X29 => no_prime_in1(tb2t1(get(int,int,t2tb3(X28),t2tb1($difference($sum(X13,1),1)))),X29))))))))))))))))), 17.79/17.98 inference(negated_conjecture,[],[f77])). 17.79/17.98 tff(f80,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (($lesseq(0,X4) & $less(X4,X5)) => div2(X4,X5) = 0)), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_inf)). 17.79/17.98 tff(f82,axiom,( 17.79/17.98 ! [X6 : $int] : (? [X19 : $int] : $sum($product(2,X19),1) = X6 <=> odd1(X6))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odd_def)). 17.79/17.98 tff(f92,axiom,( 17.79/17.98 ! [X14 : $int] : (prime1(X14) => (even1(X14) => 2 = X14))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',even_prime)). 17.79/17.98 tff(f93,axiom,( 17.79/17.98 ! [X13 : uni] : t2tb2(tb2t2(X13)) = X13), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)). 17.79/17.98 tff(f94,axiom,( 17.79/17.98 ! [X4 : $int,X5 : $int,X9 : $int] : (($less(0,X4) & $lesseq(0,X9) & $lesseq(0,X5)) => mod2(X9,X4) = mod2($sum($product(X4,X5),X9),X4))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_mult)). 17.79/17.98 tff(f99,axiom,( 17.79/17.98 ! [X4 : $int] : div2(X4,1) = X4), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_1)). 17.79/17.98 tff(f107,axiom,( 17.79/17.98 ! [X14 : $int] : (prime1(X14) => ($lesseq(3,X14) => odd1(X14)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odd_prime)). 17.79/17.98 tff(f108,axiom,( 17.79/17.98 ! [X4 : $int] : (($lesseq(0,X4) => abs1(X4) = X4) & (~$lesseq(0,X4) => abs1(X4) = $uminus(X4)))), 17.79/17.98 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def)). 17.79/17.98 tff(f122,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f123,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f124,plain,( 17.79/17.98 ( ! [X0:$int] : ($sum(X0,0) = X0) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f126,plain,( 17.79/17.98 ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f127,plain,( 17.79/17.98 ( ! [X0:$int] : (~$less(X0,X0)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f128,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f129,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f130,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f131,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f132,plain,( 17.79/17.98 ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f134,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f135,plain,( 17.79/17.98 ( ! [X0:$int] : ($product(X0,1) = X0) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f139,plain,( 17.79/17.98 ( ! [X1:$int] : (~$less(0,X1) | $abs(X1) = X1) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f140,plain,( 17.79/17.98 ( ! [X1:$int] : (~$less(X1,0) | $uminus(X1) = $abs(X1)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f141,plain,( 17.79/17.98 ( ! [X2:$int,X1:$int] : ($sum($remainder_e(X1,X2),$product(X2,$quotient_e(X1,X2))) = X1 | 0 = X2) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f143,plain,( 17.79/17.98 ( ! [X2:$int,X1:$int] : (~$less($sum($abs(X2),$uminus(1)),$remainder_e(X1,X2)) | 0 = X2) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f144,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )), 17.79/17.98 introduced(theory_axiom,[])). 17.79/17.98 tff(f145,plain,( 17.79/17.98 ~! [X20 : $int] : (~$less(X20,2) => (~$less(X20,0) => (~$less(X20,0) => (($less(0,X20) & ~$less(0,0)) => ! [X14 : map_int_int] : ((tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X14 & ~$less(X20,0)) => (($less(1,X20) & ~$less(1,0)) => ! [X25 : map_int_int] : ((tb2t3(set(int,int,t2tb3(X14),t2tb1(1),t2tb1(3))) = X25 & ~$less(X20,0)) => (~$less($sum(X20,$uminus(1)),2) => ! [X6 : $int,X26 : map_int_int,X13 : $int] : ((~$less(X13,2) & ~$less($sum(X20,$uminus(1)),X13)) => ((first_primes1(tb2t2(mk_array1(int,X20,t2tb3(X26))),X13) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($sum(X13,$uminus(1))))),X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($sum(X13,$uminus(1))))),X6) & odd1(X6) & $less(X6,$product(2,tb2t1(get(int,int,t2tb3(X26),t2tb1($sum(X13,$uminus(1)))))))) => ((~$less(X20,0) & ~$less(1,1) & $less(1,X13) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($sum(X13,$uminus(1))))),X6) & $less(X6,$product(2,tb2t1(get(int,int,t2tb3(X26),t2tb1($sum(X13,$uminus(1))))))) & odd1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($sum(X13,$uminus(1))))),X6) & ! [X3 : $int] : ((~$less(X3,0) & $less(X3,1)) => ~divides1(tb2t1(get(int,int,t2tb3(X26),t2tb1(X3))),X6)) & first_primes1(tb2t2(mk_array1(int,X20,t2tb3(X26))),X13)) => ! [X27 : $int] : ((prime1(X27) & no_prime_in1(tb2t1(get(int,int,t2tb3(X26),t2tb1($sum(X13,$uminus(1))))),X27) & $less(tb2t1(get(int,int,t2tb3(X26),t2tb1($sum(X13,$uminus(1))))),X27)) => (($less(X13,X20) & ~$less(X13,0)) => ! [X28 : map_int_int] : ((~$less(X20,0) & tb2t3(set(int,int,t2tb3(X26),t2tb1(X13),t2tb1(X27))) = X28) => ! [X29 : $int] : ($sum(X27,2) = X29 => no_prime_in1(tb2t1(get(int,int,t2tb3(X28),t2tb1($sum($sum(X13,1),$uminus(1))))),X29))))))))))))))))), 17.79/17.98 inference(evaluation,[],[f78])). 17.79/17.98 tff(f147,plain,( 17.79/17.98 ! [X4 : $int] : ((~$less(X4,0) => abs1(X4) = X4) & ($less(X4,0) => abs1(X4) = $uminus(X4)))), 17.79/17.98 inference(evaluation,[],[f108])). 17.79/17.98 tff(f148,plain,( 17.79/17.98 ! [X14 : $int] : (prime1(X14) => (~$less(X14,3) => odd1(X14)))), 17.79/17.98 inference(evaluation,[],[f107])). 17.79/17.98 tff(f149,plain,( 17.79/17.98 ! [X14 : $int] : (~$less(X14,2) => (! [X15 : $int] : (~$less(X15,2) => (prime1(X15) => (($less(1,$product(X15,X15)) & ~$less(X14,$product(X15,X15))) => ~divides1(X15,X14)))) => prime1(X14)))), 17.79/17.98 inference(evaluation,[],[f36])). 17.79/17.98 tff(f150,plain,( 17.79/17.98 ! [X14 : $int] : ((! [X6 : $int] : (($less(1,X6) & $less(X6,X14)) => ~divides1(X6,X14)) & ~$less(X14,2)) <=> prime1(X14))), 17.79/17.98 inference(evaluation,[],[f54])). 17.79/17.98 tff(f151,plain,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (0 != X5 => ~$less(abs1(X4),abs1($product(div2(X4,X5),X5))))), 17.79/17.98 inference(evaluation,[],[f23])). 17.79/17.98 tff(f152,plain,( 17.79/17.98 ! [X14 : array_int,X11 : $int] : (~$less(X11,1) => (first_primes1(X14,X11) => ! [X15 : $int] : ((~$less(X15,2) & ~$less(tb2t1(get2(int,t2tb2(X14),$sum(X11,$uminus(1)))),X15)) => (prime1(X15) => ? [X3 : $int] : (~$less(X3,0) & $less(X3,X11) & tb2t1(get2(int,t2tb2(X14),X3)) = X15)))))), 17.79/17.98 inference(evaluation,[],[f34])). 17.79/17.98 tff(f153,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (divides1(X0,X1) => (0 != X1 => ~$less(abs1(X1),abs1(X0))))), 17.79/17.98 inference(evaluation,[],[f47])). 17.79/17.98 tff(f158,plain,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (($less(0,X5) & ~$less(X4,0)) => (~$less(X4,div2(X4,X5)) & ~$less(div2(X4,X5),0)))), 17.79/17.98 inference(evaluation,[],[f74])). 17.79/17.98 tff(f159,plain,( 17.79/17.98 ! [X4 : $int,X5 : $int] : ((~$less(X4,0) & $less(X4,X5)) => mod2(X4,X5) = X4)), 17.79/17.98 inference(evaluation,[],[f49])). 17.79/17.98 tff(f160,plain,( 17.79/17.98 ! [X4 : $int,X5 : $int] : ((~$less(X4,0) & $less(X4,X5)) => div2(X4,X5) = 0)), 17.79/17.98 inference(evaluation,[],[f80])). 17.79/17.98 tff(f161,plain,( 17.79/17.98 ! [X4 : $int,X5 : $int] : (lt_nat1(X4,X5) <=> (~$less(X5,0) & $less(X4,X5)))), 17.79/17.98 inference(evaluation,[],[f39])). 17.79/17.98 tff(f163,plain,( 17.79/17.98 ! [X14 : array_int,X11 : $int] : ((tb2t1(get2(int,t2tb2(X14),0)) = 2 & ! [X3 : $int] : ((~$less(X3,0) & $less(X3,$sum(X11,$uminus(1)))) => no_prime_in1(tb2t1(get2(int,t2tb2(X14),X3)),tb2t1(get2(int,t2tb2(X14),$sum(X3,1))))) & ! [X3 : $int] : (($less(X3,X11) & ~$less(X3,0)) => prime1(tb2t1(get2(int,t2tb2(X14),X3)))) & ! [X3 : $int,X13 : $int] : (($less(X3,X13) & $less(X13,X11) & ~$less(X3,0)) => $less(tb2t1(get2(int,t2tb2(X14),X3)),tb2t1(get2(int,t2tb2(X14),X13))))) <=> first_primes1(X14,X11))), 17.79/17.98 inference(evaluation,[],[f46])). 17.79/17.98 tff(f165,plain,( 17.79/17.98 ! [X4 : $int,X5 : $int,X9 : $int] : (~$less(X5,X4) => (~$less(X9,0) => ~$less($product(X5,X9),$product(X4,X9))))), 17.79/17.98 inference(evaluation,[],[f64])). 17.79/17.98 tff(f166,plain,( 17.79/17.98 ! [X4 : $int,X5 : $int,X9 : $int] : (($less(0,X4) & ~$less(X9,0) & ~$less(X5,0)) => mod2(X9,X4) = mod2($sum($product(X4,X5),X9),X4))), 17.79/17.98 inference(evaluation,[],[f94])). 17.79/17.98 tff(f167,plain,( 17.79/17.98 ! [X4 : $int,X5 : $int,X9 : $int] : (($less(0,X4) & ~$less(X5,0) & ~$less(X9,0)) => div2($sum($product(X4,X5),X9),X4) = $sum(X5,div2(X9,X4)))), 17.79/17.98 inference(evaluation,[],[f45])). 17.79/17.98 tff(f168,plain,( 17.79/17.98 ~! [X0 : $int] : (~$less(X0,2) => (~$less(X0,0) => (~$less(X0,0) => (($less(0,X0) & ~$less(0,0)) => ! [X1 : map_int_int] : ((tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X1 & ~$less(X0,0)) => (($less(1,X0) & ~$less(1,0)) => ! [X2 : map_int_int] : ((tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = X2 & ~$less(X0,0)) => (~$less($sum(X0,$uminus(1)),2) => ! [X3 : $int,X4 : map_int_int,X5 : $int] : ((~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) => ((first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1)))))))) => ((~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X6 : $int] : ((~$less(X6,0) & $less(X6,1)) => ~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X6))),X3)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5)) => ! [X7 : $int] : ((prime1(X7) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X7) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X7)) => (($less(X5,X0) & ~$less(X5,0)) => ! [X8 : map_int_int] : ((~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X7))) = X8) => ! [X9 : $int] : ($sum(X7,2) = X9 => no_prime_in1(tb2t1(get(int,int,t2tb3(X8),t2tb1($sum($sum(X5,1),$uminus(1))))),X9))))))))))))))))), 17.79/17.98 inference(rectify,[],[f145])). 17.79/17.98 tff(f170,plain,( 17.79/17.98 ! [X0 : $int] : divides1(X0,X0)), 17.79/17.98 inference(rectify,[],[f4])). 17.79/17.98 tff(f178,plain,( 17.79/17.98 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 17.79/17.98 inference(rectify,[],[f65])). 17.79/17.98 tff(f180,plain,( 17.79/17.98 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 17.79/17.98 inference(rectify,[],[f27])). 17.79/17.98 tff(f182,plain,( 17.79/17.98 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 17.79/17.98 inference(rectify,[],[f93])). 17.79/17.98 tff(f183,plain,( 17.79/17.98 ! [X0 : $int] : div2(X0,1) = X0), 17.79/17.98 inference(rectify,[],[f99])). 17.79/17.98 tff(f185,plain,( 17.79/17.98 ! [X0 : $int] : mod2(X0,1) = 0), 17.79/17.98 inference(rectify,[],[f42])). 17.79/17.98 tff(f190,plain,( 17.79/17.98 ! [X0 : $int] : ((~$less(X0,0) => abs1(X0) = X0) & ($less(X0,0) => abs1(X0) = $uminus(X0)))), 17.79/17.98 inference(rectify,[],[f147])). 17.79/17.98 tff(f193,plain,( 17.79/17.98 ! [X0 : $int] : (even1(X0) => ~odd1(X0))), 17.79/17.98 inference(rectify,[],[f52])). 17.79/17.98 tff(f197,plain,( 17.79/17.98 ! [X0 : $int] : (prime1(X0) => (even1(X0) => 2 = X0))), 17.79/17.98 inference(rectify,[],[f92])). 17.79/17.98 tff(f198,plain,( 17.79/17.98 ! [X0 : $int] : (prime1(X0) => (~$less(X0,3) => odd1(X0)))), 17.79/17.98 inference(rectify,[],[f148])). 17.79/17.98 tff(f200,plain,( 17.79/17.98 ! [X0 : $int] : (odd1(X0) => ~even1(X0))), 17.79/17.98 inference(rectify,[],[f5])). 17.79/17.98 tff(f201,plain,( 17.79/17.98 ! [X0 : $int] : (odd1(X0) => even1($sum(X0,1)))), 17.79/17.98 inference(rectify,[],[f58])). 17.79/17.98 tff(f202,plain,( 17.79/17.98 ! [X0 : $int] : (odd1(X0) => odd1($sum(X0,2)))), 17.79/17.98 inference(rectify,[],[f10])). 17.79/17.98 tff(f204,plain,( 17.79/17.98 ! [X0 : $int] : (~$less(X0,2) => (! [X1 : $int] : (~$less(X1,2) => (prime1(X1) => (($less(1,$product(X1,X1)) & ~$less(X0,$product(X1,X1))) => ~divides1(X1,X0)))) => prime1(X0)))), 17.79/17.98 inference(rectify,[],[f149])). 17.79/17.98 tff(f205,plain,( 17.79/17.98 ! [X0 : $int] : ((! [X1 : $int] : (($less(1,X1) & $less(X1,X0)) => ~divides1(X1,X0)) & ~$less(X0,2)) <=> prime1(X0))), 17.79/17.98 inference(rectify,[],[f150])). 17.79/17.98 tff(f207,plain,( 17.79/17.98 ! [X0 : $int] : (? [X1 : $int] : $sum($product(2,X1),1) = X0 <=> odd1(X0))), 17.79/17.98 inference(rectify,[],[f82])). 17.79/17.98 tff(f212,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (0 != X1 => ~$less(abs1(X0),abs1($product(div2(X0,X1),X1))))), 17.79/17.98 inference(rectify,[],[f151])). 17.79/17.98 tff(f213,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (0 != X1 => $sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0)), 17.79/17.98 inference(rectify,[],[f17])). 17.79/17.98 tff(f214,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (0 != X1 => ($less(mod2(X0,X1),abs1(X1)) & $less($uminus(abs1(X1)),mod2(X0,X1))))), 17.79/17.98 inference(rectify,[],[f32])). 17.79/17.98 tff(f215,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : (~$less(X1,1) => (first_primes1(X0,X1) => ! [X2 : $int] : ((~$less(X2,2) & ~$less(tb2t1(get2(int,t2tb2(X0),$sum(X1,$uminus(1)))),X2)) => (prime1(X2) => ? [X3 : $int] : (~$less(X3,0) & $less(X3,X1) & tb2t1(get2(int,t2tb2(X0),X3)) = X2)))))), 17.79/17.98 inference(rectify,[],[f152])). 17.79/17.98 tff(f223,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(X0,0)) => (~$less(X0,div2(X0,X1)) & ~$less(div2(X0,X1),0)))), 17.79/17.98 inference(rectify,[],[f158])). 17.79/17.98 tff(f224,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) => mod2(X0,X1) = X0)), 17.79/17.98 inference(rectify,[],[f159])). 17.79/17.98 tff(f225,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) => div2(X0,X1) = 0)), 17.79/17.98 inference(rectify,[],[f160])). 17.79/17.98 tff(f226,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (lt_nat1(X0,X1) <=> (~$less(X1,0) & $less(X0,X1)))), 17.79/17.98 inference(rectify,[],[f161])). 17.79/17.98 tff(f227,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (no_prime_in1(X0,X1) <=> ! [X2 : $int] : (($less(X2,X1) & $less(X0,X2)) => ~prime1(X2)))), 17.79/17.98 inference(rectify,[],[f51])). 17.79/17.98 tff(f229,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : ((tb2t1(get2(int,t2tb2(X0),0)) = 2 & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,$sum(X1,$uminus(1)))) => no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1))))) & ! [X3 : $int] : (($less(X3,X1) & ~$less(X3,0)) => prime1(tb2t1(get2(int,t2tb2(X0),X3)))) & ! [X4 : $int,X5 : $int] : (($less(X4,X5) & $less(X5,X1) & ~$less(X4,0)) => $less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))))) <=> first_primes1(X0,X1))), 17.79/17.98 inference(rectify,[],[f163])). 17.79/17.98 tff(f239,plain,( 17.79/17.98 ! [X0 : ty,X1 : uni,X2 : $int] : get(X0,int,elts(X0,X1),t2tb1(X2)) = get2(X0,X1,X2)), 17.79/17.98 inference(rectify,[],[f2])). 17.79/17.98 tff(f240,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : ($less(0,X0) => $remainder_e(X2,X0) = $remainder_e($sum($product(X0,X1),X2),X0))), 17.79/17.98 inference(rectify,[],[f66])). 17.79/17.98 tff(f241,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : ($less(0,X0) => $sum(X1,$quotient_e(X2,X0)) = $quotient_e($sum($product(X0,X1),X2),X0))), 17.79/17.98 inference(rectify,[],[f19])). 17.79/17.98 tff(f251,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (divides1(X0,X1) => (divides1(X0,X2) => divides1(X0,$sum(X1,X2))))), 17.79/17.98 inference(rectify,[],[f16])). 17.79/17.98 tff(f252,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 17.79/17.98 inference(rectify,[],[f165])). 17.79/17.98 tff(f255,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & ~$less(X2,0) & ~$less(X1,0)) => mod2(X2,X0) = mod2($sum($product(X0,X1),X2),X0))), 17.79/17.98 inference(rectify,[],[f166])). 17.79/17.98 tff(f256,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (($less(0,X0) & ~$less(X1,0) & ~$less(X2,0)) => div2($sum($product(X0,X1),X2),X0) = $sum(X1,div2(X2,X0)))), 17.79/17.98 inference(rectify,[],[f167])). 17.79/17.98 tff(f269,plain,( 17.79/17.98 ? [X0 : $int] : ((((? [X1 : map_int_int] : ((? [X2 : map_int_int] : ((? [X3 : $int,X4 : map_int_int,X5 : $int] : (((? [X7 : $int] : ((? [X8 : map_int_int] : (? [X9 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X8),t2tb1($sum($sum(X5,1),$uminus(1))))),X9) & $sum(X7,2) = X9) & (~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X7))) = X8)) & ($less(X5,X0) & ~$less(X5,0))) & (prime1(X7) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X7) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X7))) & (~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X6 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X6))),X3) | ($less(X6,0) | ~$less(X6,1))) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5))) & (first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))))) & (~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5))) & ~$less($sum(X0,$uminus(1)),2)) & (tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = X2 & ~$less(X0,0))) & ($less(1,X0) & ~$less(1,0))) & (tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X1 & ~$less(X0,0))) & ($less(0,X0) & ~$less(0,0))) & ~$less(X0,0)) & ~$less(X0,0)) & ~$less(X0,2))), 17.79/17.98 inference(ennf_transformation,[],[f168])). 17.79/17.98 tff(f270,plain,( 17.79/17.98 ? [X0 : $int] : (? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X3 : $int,X4 : map_int_int,X5 : $int] : (? [X7 : $int] : (? [X8 : map_int_int] : (? [X9 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X8),t2tb1($sum($sum(X5,1),$uminus(1))))),X9) & $sum(X7,2) = X9) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X7))) = X8) & $less(X5,X0) & ~$less(X5,0) & prime1(X7) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X7) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X7)) & ~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X6 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X6))),X3) | $less(X6,0) | ~$less(X6,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) & ~$less($sum(X0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = X2 & ~$less(X0,0)) & $less(1,X0) & ~$less(1,0) & tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X1 & ~$less(X0,0)) & $less(0,X0) & ~$less(0,0) & ~$less(X0,0) & ~$less(X0,0) & ~$less(X0,2))), 17.79/17.98 inference(flattening,[],[f269])). 17.79/17.98 tff(f271,plain,( 17.79/17.98 ! [X0 : $int] : ((abs1(X0) = X0 | $less(X0,0)) & (abs1(X0) = $uminus(X0) | ~$less(X0,0)))), 17.79/17.98 inference(ennf_transformation,[],[f190])). 17.79/17.98 tff(f272,plain,( 17.79/17.98 ! [X0 : $int] : (~odd1(X0) | ~even1(X0))), 17.79/17.98 inference(ennf_transformation,[],[f193])). 17.79/17.98 tff(f276,plain,( 17.79/17.98 ! [X0 : $int] : ((2 = X0 | ~even1(X0)) | ~prime1(X0))), 17.79/17.98 inference(ennf_transformation,[],[f197])). 17.79/17.98 tff(f277,plain,( 17.79/17.98 ! [X0 : $int] : (2 = X0 | ~even1(X0) | ~prime1(X0))), 17.79/17.98 inference(flattening,[],[f276])). 17.79/17.98 tff(f278,plain,( 17.79/17.98 ! [X0 : $int] : ((odd1(X0) | $less(X0,3)) | ~prime1(X0))), 17.79/17.98 inference(ennf_transformation,[],[f198])). 17.79/17.98 tff(f279,plain,( 17.79/17.98 ! [X0 : $int] : (odd1(X0) | $less(X0,3) | ~prime1(X0))), 17.79/17.98 inference(flattening,[],[f278])). 17.79/17.98 tff(f282,plain,( 17.79/17.98 ! [X0 : $int] : (~even1(X0) | ~odd1(X0))), 17.79/17.98 inference(ennf_transformation,[],[f200])). 17.79/17.98 tff(f283,plain,( 17.79/17.98 ! [X0 : $int] : (even1($sum(X0,1)) | ~odd1(X0))), 17.79/17.98 inference(ennf_transformation,[],[f201])). 17.79/17.98 tff(f284,plain,( 17.79/17.98 ! [X0 : $int] : (odd1($sum(X0,2)) | ~odd1(X0))), 17.79/17.98 inference(ennf_transformation,[],[f202])). 17.79/17.98 tff(f287,plain,( 17.79/17.98 ! [X0 : $int] : ((prime1(X0) | ? [X1 : $int] : (((divides1(X1,X0) & ($less(1,$product(X1,X1)) & ~$less(X0,$product(X1,X1)))) & prime1(X1)) & ~$less(X1,2))) | $less(X0,2))), 17.79/17.98 inference(ennf_transformation,[],[f204])). 17.79/17.98 tff(f288,plain,( 17.79/17.98 ! [X0 : $int] : (prime1(X0) | ? [X1 : $int] : (divides1(X1,X0) & $less(1,$product(X1,X1)) & ~$less(X0,$product(X1,X1)) & prime1(X1) & ~$less(X1,2)) | $less(X0,2))), 17.79/17.98 inference(flattening,[],[f287])). 17.79/17.98 tff(f289,plain,( 17.79/17.98 ! [X0 : $int] : ((! [X1 : $int] : (~divides1(X1,X0) | (~$less(1,X1) | ~$less(X1,X0))) & ~$less(X0,2)) <=> prime1(X0))), 17.79/17.98 inference(ennf_transformation,[],[f205])). 17.79/17.98 tff(f290,plain,( 17.79/17.98 ! [X0 : $int] : ((! [X1 : $int] : (~divides1(X1,X0) | ~$less(1,X1) | ~$less(X1,X0)) & ~$less(X0,2)) <=> prime1(X0))), 17.79/17.98 inference(flattening,[],[f289])). 17.79/17.98 tff(f291,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (~$less(abs1(X0),abs1($product(div2(X0,X1),X1))) | 0 = X1)), 17.79/17.98 inference(ennf_transformation,[],[f212])). 17.79/17.98 tff(f292,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ($sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0 | 0 = X1)), 17.79/17.98 inference(ennf_transformation,[],[f213])). 17.79/17.98 tff(f293,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (($less(mod2(X0,X1),abs1(X1)) & $less($uminus(abs1(X1)),mod2(X0,X1))) | 0 = X1)), 17.79/17.98 inference(ennf_transformation,[],[f214])). 17.79/17.98 tff(f298,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((divides1(X1,X0) | mod2(X0,X1) != 0) | 0 = X1)), 17.79/17.98 inference(ennf_transformation,[],[f37])). 17.79/17.98 tff(f299,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (divides1(X1,X0) | mod2(X0,X1) != 0 | 0 = X1)), 17.79/17.98 inference(flattening,[],[f298])). 17.79/17.98 tff(f300,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((divides1(X1,X0) | 0 != $remainder_e(X0,X1)) | 0 = X1)), 17.79/17.98 inference(ennf_transformation,[],[f1])). 17.79/17.98 tff(f301,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (divides1(X1,X0) | 0 != $remainder_e(X0,X1) | 0 = X1)), 17.79/17.98 inference(flattening,[],[f300])). 17.79/17.98 tff(f302,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : ((! [X2 : $int] : ((? [X3 : $int] : (~$less(X3,0) & $less(X3,X1) & tb2t1(get2(int,t2tb2(X0),X3)) = X2) | ~prime1(X2)) | ($less(X2,2) | $less(tb2t1(get2(int,t2tb2(X0),$sum(X1,$uminus(1)))),X2))) | ~first_primes1(X0,X1)) | $less(X1,1))), 17.79/17.98 inference(ennf_transformation,[],[f215])). 17.79/17.98 tff(f303,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : (! [X2 : $int] : (? [X3 : $int] : (~$less(X3,0) & $less(X3,X1) & tb2t1(get2(int,t2tb2(X0),X3)) = X2) | ~prime1(X2) | $less(X2,2) | $less(tb2t1(get2(int,t2tb2(X0),$sum(X1,$uminus(1)))),X2)) | ~first_primes1(X0,X1) | $less(X1,1))), 17.79/17.98 inference(flattening,[],[f302])). 17.79/17.98 tff(f309,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((~$less(abs1(X1),abs1(X0)) | 0 = X1) | ~divides1(X0,X1))), 17.79/17.98 inference(ennf_transformation,[],[f153])). 17.79/17.98 tff(f310,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (~$less(abs1(X1),abs1(X0)) | 0 = X1 | ~divides1(X0,X1))), 17.79/17.98 inference(flattening,[],[f309])). 17.79/17.98 tff(f324,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((~$less(X0,div2(X0,X1)) & ~$less(div2(X0,X1),0)) | (~$less(0,X1) | $less(X0,0)))), 17.79/17.98 inference(ennf_transformation,[],[f223])). 17.79/17.98 tff(f325,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((~$less(X0,div2(X0,X1)) & ~$less(div2(X0,X1),0)) | ~$less(0,X1) | $less(X0,0))), 17.79/17.98 inference(flattening,[],[f324])). 17.79/17.98 tff(f326,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (mod2(X0,X1) = X0 | ($less(X0,0) | ~$less(X0,X1)))), 17.79/17.98 inference(ennf_transformation,[],[f224])). 17.79/17.98 tff(f327,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (mod2(X0,X1) = X0 | $less(X0,0) | ~$less(X0,X1))), 17.79/17.98 inference(flattening,[],[f326])). 17.79/17.98 tff(f328,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (div2(X0,X1) = 0 | ($less(X0,0) | ~$less(X0,X1)))), 17.79/17.98 inference(ennf_transformation,[],[f225])). 17.79/17.98 tff(f329,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (div2(X0,X1) = 0 | $less(X0,0) | ~$less(X0,X1))), 17.79/17.98 inference(flattening,[],[f328])). 17.79/17.98 tff(f330,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (no_prime_in1(X0,X1) <=> ! [X2 : $int] : (~prime1(X2) | (~$less(X2,X1) | ~$less(X0,X2))))), 17.79/17.98 inference(ennf_transformation,[],[f227])). 17.79/17.98 tff(f331,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : (no_prime_in1(X0,X1) <=> ! [X2 : $int] : (~prime1(X2) | ~$less(X2,X1) | ~$less(X0,X2)))), 17.79/17.98 inference(flattening,[],[f330])). 17.79/17.98 tff(f332,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : ((tb2t1(get2(int,t2tb2(X0),0)) = 2 & ! [X2 : $int] : (no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) | ($less(X2,0) | ~$less(X2,$sum(X1,$uminus(1))))) & ! [X3 : $int] : (prime1(tb2t1(get2(int,t2tb2(X0),X3))) | (~$less(X3,X1) | $less(X3,0))) & ! [X4 : $int,X5 : $int] : ($less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) | (~$less(X4,X5) | ~$less(X5,X1) | $less(X4,0)))) <=> first_primes1(X0,X1))), 17.79/17.98 inference(ennf_transformation,[],[f229])). 17.79/17.98 tff(f333,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : ((tb2t1(get2(int,t2tb2(X0),0)) = 2 & ! [X2 : $int] : (no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) | $less(X2,0) | ~$less(X2,$sum(X1,$uminus(1)))) & ! [X3 : $int] : (prime1(tb2t1(get2(int,t2tb2(X0),X3))) | ~$less(X3,X1) | $less(X3,0)) & ! [X4 : $int,X5 : $int] : ($less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) | ~$less(X4,X5) | ~$less(X5,X1) | $less(X4,0))) <=> first_primes1(X0,X1))), 17.79/17.98 inference(flattening,[],[f332])). 17.79/17.98 tff(f334,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : ($remainder_e(X2,X0) = $remainder_e($sum($product(X0,X1),X2),X0) | ~$less(0,X0))), 17.79/17.98 inference(ennf_transformation,[],[f240])). 17.79/17.98 tff(f335,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : ($sum(X1,$quotient_e(X2,X0)) = $quotient_e($sum($product(X0,X1),X2),X0) | ~$less(0,X0))), 17.79/17.98 inference(ennf_transformation,[],[f241])). 17.79/17.98 tff(f347,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : ((divides1(X0,$sum(X1,X2)) | ~divides1(X0,X2)) | ~divides1(X0,X1))), 17.79/17.98 inference(ennf_transformation,[],[f251])). 17.79/17.98 tff(f348,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (divides1(X0,$sum(X1,X2)) | ~divides1(X0,X2) | ~divides1(X0,X1))), 17.79/17.98 inference(flattening,[],[f347])). 17.79/17.98 tff(f349,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 17.79/17.98 inference(ennf_transformation,[],[f252])). 17.79/17.98 tff(f350,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 17.79/17.98 inference(flattening,[],[f349])). 17.79/17.98 tff(f353,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (mod2(X2,X0) = mod2($sum($product(X0,X1),X2),X0) | (~$less(0,X0) | $less(X2,0) | $less(X1,0)))), 17.79/17.98 inference(ennf_transformation,[],[f255])). 17.79/17.98 tff(f354,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (mod2(X2,X0) = mod2($sum($product(X0,X1),X2),X0) | ~$less(0,X0) | $less(X2,0) | $less(X1,0))), 17.79/17.98 inference(flattening,[],[f353])). 17.79/17.98 tff(f355,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (div2($sum($product(X0,X1),X2),X0) = $sum(X1,div2(X2,X0)) | (~$less(0,X0) | $less(X1,0) | $less(X2,0)))), 17.79/17.98 inference(ennf_transformation,[],[f256])). 17.79/17.98 tff(f356,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int,X2 : $int] : (div2($sum($product(X0,X1),X2),X0) = $sum(X1,div2(X2,X0)) | ~$less(0,X0) | $less(X1,0) | $less(X2,0))), 17.79/17.98 inference(flattening,[],[f355])). 17.79/17.98 tff(f365,plain,( 17.79/17.98 ? [X0 : $int] : (? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X3 : $int,X4 : map_int_int,X5 : $int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) & ~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X9))),X3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) & ~$less($sum(X0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = X2 & ~$less(X0,0)) & $less(1,X0) & ~$less(1,0) & tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X1 & ~$less(X0,0)) & $less(0,X0) & ~$less(0,0) & ~$less(X0,0) & ~$less(X0,0) & ~$less(X0,2))), 17.79/17.98 inference(rectify,[],[f270])). 17.79/17.98 tff(f366,plain,( 17.79/17.98 ? [X0 : $int] : (? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X3 : $int,X4 : map_int_int,X5 : $int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) & ~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X9))),X3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) & ~$less($sum(X0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = X2 & ~$less(X0,0)) & $less(1,X0) & ~$less(1,0) & tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X1 & ~$less(X0,0)) & $less(0,X0) & ~$less(0,0) & ~$less(X0,0) & ~$less(X0,0) & ~$less(X0,2)) => (? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X5 : $int,X4 : map_int_int,X3 : $int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(sK0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,sK0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) & ~$less(sK0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X9))),X3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,sK0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,sK0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(sK0,$uminus(1)),X5)) & ~$less($sum(sK0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = X2 & ~$less(sK0,0)) & $less(1,sK0) & ~$less(1,0) & tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X1 & ~$less(sK0,0)) & $less(0,sK0) & ~$less(0,0) & ~$less(sK0,0) & ~$less(sK0,0) & ~$less(sK0,2))), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f367,plain,( 17.79/17.98 ( ! [X0:$int] : (? [X1 : map_int_int] : (? [X2 : map_int_int] : (? [X3 : $int,X4 : map_int_int,X5 : $int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) & ~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X9))),X3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) & ~$less($sum(X0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = X2 & ~$less(X0,0)) & $less(1,X0) & ~$less(1,0) & tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = X1 & ~$less(X0,0)) => (? [X2 : map_int_int] : (? [X3 : $int,X4 : map_int_int,X5 : $int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) & ~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X9))),X3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) & ~$less($sum(X0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(sK1),t2tb1(1),t2tb1(3))) = X2 & ~$less(X0,0)) & $less(1,X0) & ~$less(1,0) & tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = sK1 & ~$less(X0,0))) )), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f368,plain,( 17.79/17.98 ( ! [X0:$int,X1:map_int_int] : (? [X2 : map_int_int] : (? [X3 : $int,X4 : map_int_int,X5 : $int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) & ~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X9))),X3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) & ~$less($sum(X0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = X2 & ~$less(X0,0)) => (? [X3 : $int,X4 : map_int_int,X5 : $int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) & ~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X9))),X3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) & ~$less($sum(X0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(X1),t2tb1(1),t2tb1(3))) = sK2 & ~$less(X0,0))) )), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f369,plain,( 17.79/17.98 ( ! [X0:$int] : (? [X3 : $int,X4 : map_int_int,X5 : $int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) & ~$less(X0,0) & ~$less(1,1) & $less(1,X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & odd1(X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(X4),t2tb1(X9))),X3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(X4))),X5) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X3) & odd1(X3) & $less(X3,$product(2,tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))))) & ~$less(X5,2) & ~$less($sum(X0,$uminus(1)),X5)) => (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(sK5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(sK4),t2tb1(sK5),t2tb1(X6))) = X7) & $less(sK5,X0) & ~$less(sK5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),X6)) & ~$less(X0,0) & ~$less(1,1) & $less(1,sK5) & $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3) & $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))))) & odd1(sK3) & no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(sK4),t2tb1(X9))),sK3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(sK4))),sK5) & first_primes1(tb2t2(mk_array1(int,X0,t2tb3(sK4))),sK5) & $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3) & no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3) & odd1(sK3) & $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))))) & ~$less(sK5,2) & ~$less($sum(X0,$uminus(1)),sK5))) )), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f370,plain,( 17.79/17.98 ( ! [X4:map_int_int,X0:$int,X5:$int] : (? [X6 : $int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(X6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),X6)) => (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(sK6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(sK6))) = X7) & $less(X5,X0) & ~$less(X5,0) & prime1(sK6) & no_prime_in1(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),sK6) & $less(tb2t1(get(int,int,t2tb3(X4),t2tb1($sum(X5,$uminus(1))))),sK6))) )), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f371,plain,( 17.79/17.98 ( ! [X6:$int,X4:map_int_int,X0:$int,X5:$int] : (? [X7 : map_int_int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = X7) => (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) & ~$less(X0,0) & tb2t3(set(int,int,t2tb3(X4),t2tb1(X5),t2tb1(X6))) = sK7)) )), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f372,plain,( 17.79/17.98 ( ! [X6:$int,X7:map_int_int,X5:$int] : (? [X8 : $int] : (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),X8) & $sum(X6,2) = X8) => (~no_prime_in1(tb2t1(get(int,int,t2tb3(X7),t2tb1($sum($sum(X5,1),$uminus(1))))),sK8) & $sum(X6,2) = sK8)) )), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f373,plain,( 17.79/17.98 ((((((~no_prime_in1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum($sum(sK5,1),$uminus(1))))),sK8) & $sum(sK6,2) = sK8) & ~$less(sK0,0) & tb2t3(set(int,int,t2tb3(sK4),t2tb1(sK5),t2tb1(sK6))) = sK7) & $less(sK5,sK0) & ~$less(sK5,0) & prime1(sK6) & no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK6) & $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK6)) & ~$less(sK0,0) & ~$less(1,1) & $less(1,sK5) & $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3) & $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))))) & odd1(sK3) & no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3) & ! [X9 : $int] : (~divides1(tb2t1(get(int,int,t2tb3(sK4),t2tb1(X9))),sK3) | $less(X9,0) | ~$less(X9,1)) & first_primes1(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5) & first_primes1(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5) & $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3) & no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3) & odd1(sK3) & $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))))) & ~$less(sK5,2) & ~$less($sum(sK0,$uminus(1)),sK5)) & ~$less($sum(sK0,$uminus(1)),2) & tb2t3(set(int,int,t2tb3(sK1),t2tb1(1),t2tb1(3))) = sK2 & ~$less(sK0,0)) & $less(1,sK0) & ~$less(1,0) & tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = sK1 & ~$less(sK0,0)) & $less(0,sK0) & ~$less(0,0) & ~$less(sK0,0) & ~$less(sK0,0) & ~$less(sK0,2)), 17.79/17.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f365,f372,f371,f370,f369,f368,f367,f366])). 17.79/17.98 tff(f374,plain,( 17.79/17.98 ! [X0 : $int] : (? [X1 : $int] : (divides1(X1,X0) & $less(1,$product(X1,X1)) & ~$less(X0,$product(X1,X1)) & prime1(X1) & ~$less(X1,2)) => (divides1(sK9(X0),X0) & $less(1,$product(sK9(X0),sK9(X0))) & ~$less(X0,$product(sK9(X0),sK9(X0))) & prime1(sK9(X0)) & ~$less(sK9(X0),2)))), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f375,plain,( 17.79/17.98 ! [X0 : $int] : (prime1(X0) | (divides1(sK9(X0),X0) & $less(1,$product(sK9(X0),sK9(X0))) & ~$less(X0,$product(sK9(X0),sK9(X0))) & prime1(sK9(X0)) & ~$less(sK9(X0),2)) | $less(X0,2))), 17.79/17.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f288,f374])). 17.79/17.98 tff(f376,plain,( 17.79/17.98 ! [X0 : $int] : ((odd1(X0) | divides1(2,X0)) & (~divides1(2,X0) | ~odd1(X0)))), 17.79/17.98 inference(nnf_transformation,[],[f76])). 17.79/17.98 tff(f377,plain,( 17.79/17.98 ! [X0 : $int] : ((divides1(2,X0) | ~even1(X0)) & (even1(X0) | ~divides1(2,X0)))), 17.79/17.98 inference(nnf_transformation,[],[f67])). 17.79/17.98 tff(f378,plain,( 17.79/17.98 ! [X0 : $int] : (((! [X1 : $int] : (~divides1(X1,X0) | ~$less(1,X1) | ~$less(X1,X0)) & ~$less(X0,2)) | ~prime1(X0)) & (prime1(X0) | (? [X1 : $int] : (divides1(X1,X0) & $less(1,X1) & $less(X1,X0)) | $less(X0,2))))), 17.79/17.98 inference(nnf_transformation,[],[f290])). 17.79/17.98 tff(f379,plain,( 17.79/17.98 ! [X0 : $int] : (((! [X1 : $int] : (~divides1(X1,X0) | ~$less(1,X1) | ~$less(X1,X0)) & ~$less(X0,2)) | ~prime1(X0)) & (prime1(X0) | ? [X1 : $int] : (divides1(X1,X0) & $less(1,X1) & $less(X1,X0)) | $less(X0,2)))), 17.79/17.98 inference(flattening,[],[f378])). 17.79/17.98 tff(f380,plain,( 17.79/17.98 ! [X0 : $int] : (((! [X1 : $int] : (~divides1(X1,X0) | ~$less(1,X1) | ~$less(X1,X0)) & ~$less(X0,2)) | ~prime1(X0)) & (prime1(X0) | ? [X2 : $int] : (divides1(X2,X0) & $less(1,X2) & $less(X2,X0)) | $less(X0,2)))), 17.79/17.98 inference(rectify,[],[f379])). 17.79/17.98 tff(f381,plain,( 17.79/17.98 ! [X0 : $int] : (? [X2 : $int] : (divides1(X2,X0) & $less(1,X2) & $less(X2,X0)) => (divides1(sK10(X0),X0) & $less(1,sK10(X0)) & $less(sK10(X0),X0)))), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f382,plain,( 17.79/17.98 ! [X0 : $int] : (((! [X1 : $int] : (~divides1(X1,X0) | ~$less(1,X1) | ~$less(X1,X0)) & ~$less(X0,2)) | ~prime1(X0)) & (prime1(X0) | (divides1(sK10(X0),X0) & $less(1,sK10(X0)) & $less(sK10(X0),X0)) | $less(X0,2)))), 17.79/17.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f380,f381])). 17.79/17.98 tff(f387,plain,( 17.79/17.98 ! [X0 : $int] : ((? [X1 : $int] : $sum($product(2,X1),1) = X0 | ~odd1(X0)) & (odd1(X0) | ! [X1 : $int] : $sum($product(2,X1),1) != X0))), 17.79/17.98 inference(nnf_transformation,[],[f207])). 17.79/17.98 tff(f388,plain,( 17.79/17.98 ! [X0 : $int] : ((? [X1 : $int] : $sum($product(2,X1),1) = X0 | ~odd1(X0)) & (odd1(X0) | ! [X2 : $int] : $sum($product(2,X2),1) != X0))), 17.79/17.98 inference(rectify,[],[f387])). 17.79/17.98 tff(f389,plain,( 17.79/17.98 ! [X0 : $int] : (? [X1 : $int] : $sum($product(2,X1),1) = X0 => $sum($product(2,sK12(X0)),1) = X0)), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f390,plain,( 17.79/17.98 ! [X0 : $int] : (($sum($product(2,sK12(X0)),1) = X0 | ~odd1(X0)) & (odd1(X0) | ! [X2 : $int] : $sum($product(2,X2),1) != X0))), 17.79/17.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f388,f389])). 17.79/17.98 tff(f391,plain,( 17.79/17.98 ! [X2 : $int,X1 : $int,X0 : array_int] : (? [X3 : $int] : (~$less(X3,0) & $less(X3,X1) & tb2t1(get2(int,t2tb2(X0),X3)) = X2) => (~$less(sK13(X0,X1,X2),0) & $less(sK13(X0,X1,X2),X1) & tb2t1(get2(int,t2tb2(X0),sK13(X0,X1,X2))) = X2))), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f392,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : (! [X2 : $int] : ((~$less(sK13(X0,X1,X2),0) & $less(sK13(X0,X1,X2),X1) & tb2t1(get2(int,t2tb2(X0),sK13(X0,X1,X2))) = X2) | ~prime1(X2) | $less(X2,2) | $less(tb2t1(get2(int,t2tb2(X0),$sum(X1,$uminus(1)))),X2)) | ~first_primes1(X0,X1) | $less(X1,1))), 17.79/17.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f303,f391])). 17.79/17.98 tff(f396,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((lt_nat1(X0,X1) | ($less(X1,0) | ~$less(X0,X1))) & ((~$less(X1,0) & $less(X0,X1)) | ~lt_nat1(X0,X1)))), 17.79/17.98 inference(nnf_transformation,[],[f226])). 17.79/17.98 tff(f397,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((lt_nat1(X0,X1) | $less(X1,0) | ~$less(X0,X1)) & ((~$less(X1,0) & $less(X0,X1)) | ~lt_nat1(X0,X1)))), 17.79/17.98 inference(flattening,[],[f396])). 17.79/17.98 tff(f398,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((no_prime_in1(X0,X1) | ? [X2 : $int] : (prime1(X2) & $less(X2,X1) & $less(X0,X2))) & (! [X2 : $int] : (~prime1(X2) | ~$less(X2,X1) | ~$less(X0,X2)) | ~no_prime_in1(X0,X1)))), 17.79/17.98 inference(nnf_transformation,[],[f331])). 17.79/17.98 tff(f399,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((no_prime_in1(X0,X1) | ? [X2 : $int] : (prime1(X2) & $less(X2,X1) & $less(X0,X2))) & (! [X3 : $int] : (~prime1(X3) | ~$less(X3,X1) | ~$less(X0,X3)) | ~no_prime_in1(X0,X1)))), 17.79/17.98 inference(rectify,[],[f398])). 17.79/17.98 tff(f400,plain,( 17.79/17.98 ! [X1 : $int,X0 : $int] : (? [X2 : $int] : (prime1(X2) & $less(X2,X1) & $less(X0,X2)) => (prime1(sK21(X0,X1)) & $less(sK21(X0,X1),X1) & $less(X0,sK21(X0,X1))))), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f401,plain,( 17.79/17.98 ! [X0 : $int,X1 : $int] : ((no_prime_in1(X0,X1) | (prime1(sK21(X0,X1)) & $less(sK21(X0,X1),X1) & $less(X0,sK21(X0,X1)))) & (! [X3 : $int] : (~prime1(X3) | ~$less(X3,X1) | ~$less(X0,X3)) | ~no_prime_in1(X0,X1)))), 17.79/17.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f399,f400])). 17.79/17.98 tff(f404,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : (((tb2t1(get2(int,t2tb2(X0),0)) = 2 & ! [X2 : $int] : (no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) | $less(X2,0) | ~$less(X2,$sum(X1,$uminus(1)))) & ! [X3 : $int] : (prime1(tb2t1(get2(int,t2tb2(X0),X3))) | ~$less(X3,X1) | $less(X3,0)) & ! [X4 : $int,X5 : $int] : ($less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) | ~$less(X4,X5) | ~$less(X5,X1) | $less(X4,0))) | ~first_primes1(X0,X1)) & (first_primes1(X0,X1) | (tb2t1(get2(int,t2tb2(X0),0)) != 2 | ? [X2 : $int] : (~no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) & ~$less(X2,0) & $less(X2,$sum(X1,$uminus(1)))) | ? [X3 : $int] : (~prime1(tb2t1(get2(int,t2tb2(X0),X3))) & $less(X3,X1) & ~$less(X3,0)) | ? [X4 : $int,X5 : $int] : (~$less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) & $less(X4,X5) & $less(X5,X1) & ~$less(X4,0)))))), 17.79/17.98 inference(nnf_transformation,[],[f333])). 17.79/17.98 tff(f405,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : (((tb2t1(get2(int,t2tb2(X0),0)) = 2 & ! [X2 : $int] : (no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) | $less(X2,0) | ~$less(X2,$sum(X1,$uminus(1)))) & ! [X3 : $int] : (prime1(tb2t1(get2(int,t2tb2(X0),X3))) | ~$less(X3,X1) | $less(X3,0)) & ! [X4 : $int,X5 : $int] : ($less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) | ~$less(X4,X5) | ~$less(X5,X1) | $less(X4,0))) | ~first_primes1(X0,X1)) & (first_primes1(X0,X1) | tb2t1(get2(int,t2tb2(X0),0)) != 2 | ? [X2 : $int] : (~no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) & ~$less(X2,0) & $less(X2,$sum(X1,$uminus(1)))) | ? [X3 : $int] : (~prime1(tb2t1(get2(int,t2tb2(X0),X3))) & $less(X3,X1) & ~$less(X3,0)) | ? [X4 : $int,X5 : $int] : (~$less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) & $less(X4,X5) & $less(X5,X1) & ~$less(X4,0))))), 17.79/17.98 inference(flattening,[],[f404])). 17.79/17.98 tff(f406,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : (((tb2t1(get2(int,t2tb2(X0),0)) = 2 & ! [X2 : $int] : (no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) | $less(X2,0) | ~$less(X2,$sum(X1,$uminus(1)))) & ! [X3 : $int] : (prime1(tb2t1(get2(int,t2tb2(X0),X3))) | ~$less(X3,X1) | $less(X3,0)) & ! [X4 : $int,X5 : $int] : ($less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) | ~$less(X4,X5) | ~$less(X5,X1) | $less(X4,0))) | ~first_primes1(X0,X1)) & (first_primes1(X0,X1) | tb2t1(get2(int,t2tb2(X0),0)) != 2 | ? [X6 : $int] : (~no_prime_in1(tb2t1(get2(int,t2tb2(X0),X6)),tb2t1(get2(int,t2tb2(X0),$sum(X6,1)))) & ~$less(X6,0) & $less(X6,$sum(X1,$uminus(1)))) | ? [X7 : $int] : (~prime1(tb2t1(get2(int,t2tb2(X0),X7))) & $less(X7,X1) & ~$less(X7,0)) | ? [X8 : $int,X9 : $int] : (~$less(tb2t1(get2(int,t2tb2(X0),X8)),tb2t1(get2(int,t2tb2(X0),X9))) & $less(X8,X9) & $less(X9,X1) & ~$less(X8,0))))), 17.79/17.98 inference(rectify,[],[f405])). 17.79/17.98 tff(f407,plain,( 17.79/17.98 ! [X1 : $int,X0 : array_int] : (? [X6 : $int] : (~no_prime_in1(tb2t1(get2(int,t2tb2(X0),X6)),tb2t1(get2(int,t2tb2(X0),$sum(X6,1)))) & ~$less(X6,0) & $less(X6,$sum(X1,$uminus(1)))) => (~no_prime_in1(tb2t1(get2(int,t2tb2(X0),sK22(X0,X1))),tb2t1(get2(int,t2tb2(X0),$sum(sK22(X0,X1),1)))) & ~$less(sK22(X0,X1),0) & $less(sK22(X0,X1),$sum(X1,$uminus(1)))))), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f408,plain,( 17.79/17.98 ! [X1 : $int,X0 : array_int] : (? [X7 : $int] : (~prime1(tb2t1(get2(int,t2tb2(X0),X7))) & $less(X7,X1) & ~$less(X7,0)) => (~prime1(tb2t1(get2(int,t2tb2(X0),sK23(X0,X1)))) & $less(sK23(X0,X1),X1) & ~$less(sK23(X0,X1),0)))), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f409,plain,( 17.79/17.98 ! [X1 : $int,X0 : array_int] : (? [X8 : $int,X9 : $int] : (~$less(tb2t1(get2(int,t2tb2(X0),X8)),tb2t1(get2(int,t2tb2(X0),X9))) & $less(X8,X9) & $less(X9,X1) & ~$less(X8,0)) => (~$less(tb2t1(get2(int,t2tb2(X0),sK24(X0,X1))),tb2t1(get2(int,t2tb2(X0),sK25(X0,X1)))) & $less(sK24(X0,X1),sK25(X0,X1)) & $less(sK25(X0,X1),X1) & ~$less(sK24(X0,X1),0)))), 17.79/17.98 introduced(choice_axiom,[])). 17.79/17.98 tff(f410,plain,( 17.79/17.98 ! [X0 : array_int,X1 : $int] : (((tb2t1(get2(int,t2tb2(X0),0)) = 2 & ! [X2 : $int] : (no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) | $less(X2,0) | ~$less(X2,$sum(X1,$uminus(1)))) & ! [X3 : $int] : (prime1(tb2t1(get2(int,t2tb2(X0),X3))) | ~$less(X3,X1) | $less(X3,0)) & ! [X4 : $int,X5 : $int] : ($less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) | ~$less(X4,X5) | ~$less(X5,X1) | $less(X4,0))) | ~first_primes1(X0,X1)) & (first_primes1(X0,X1) | tb2t1(get2(int,t2tb2(X0),0)) != 2 | (~no_prime_in1(tb2t1(get2(int,t2tb2(X0),sK22(X0,X1))),tb2t1(get2(int,t2tb2(X0),$sum(sK22(X0,X1),1)))) & ~$less(sK22(X0,X1),0) & $less(sK22(X0,X1),$sum(X1,$uminus(1)))) | (~prime1(tb2t1(get2(int,t2tb2(X0),sK23(X0,X1)))) & $less(sK23(X0,X1),X1) & ~$less(sK23(X0,X1),0)) | (~$less(tb2t1(get2(int,t2tb2(X0),sK24(X0,X1))),tb2t1(get2(int,t2tb2(X0),sK25(X0,X1)))) & $less(sK24(X0,X1),sK25(X0,X1)) & $less(sK25(X0,X1),X1) & ~$less(sK24(X0,X1),0))))), 17.79/17.98 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25])],[f406,f409,f408,f407])). 17.79/17.98 tff(f415,plain,( 17.79/17.98 ~$less(sK0,2)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f416,plain,( 17.79/17.98 ~$less(sK0,0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f417,plain,( 17.79/17.98 ~$less(sK0,0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f419,plain,( 17.79/17.98 $less(0,sK0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f420,plain,( 17.79/17.98 ~$less(sK0,0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f421,plain,( 17.79/17.98 tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = sK1), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f423,plain,( 17.79/17.98 $less(1,sK0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f424,plain,( 17.79/17.98 ~$less(sK0,0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f425,plain,( 17.79/17.98 tb2t3(set(int,int,t2tb3(sK1),t2tb1(1),t2tb1(3))) = sK2), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f426,plain,( 17.79/17.98 ~$less($sum(sK0,$uminus(1)),2)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f427,plain,( 17.79/17.98 ~$less($sum(sK0,$uminus(1)),sK5)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f428,plain,( 17.79/17.98 ~$less(sK5,2)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f429,plain,( 17.79/17.98 $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1)))))))), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f430,plain,( 17.79/17.98 odd1(sK3)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f431,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f432,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f433,plain,( 17.79/17.98 first_primes1(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f434,plain,( 17.79/17.98 first_primes1(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f436,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f437,plain,( 17.79/17.98 odd1(sK3)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f438,plain,( 17.79/17.98 $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1)))))))), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f439,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK3)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f440,plain,( 17.79/17.98 $less(1,sK5)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f442,plain,( 17.79/17.98 ~$less(sK0,0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f443,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK6)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f444,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,$uminus(1))))),sK6)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f445,plain,( 17.79/17.98 prime1(sK6)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f446,plain,( 17.79/17.98 ~$less(sK5,0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f447,plain,( 17.79/17.98 $less(sK5,sK0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f448,plain,( 17.79/17.98 tb2t3(set(int,int,t2tb3(sK4),t2tb1(sK5),t2tb1(sK6))) = sK7), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f449,plain,( 17.79/17.98 ~$less(sK0,0)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f450,plain,( 17.79/17.98 $sum(sK6,2) = sK8), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f451,plain,( 17.79/17.98 ~no_prime_in1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum($sum(sK5,1),$uminus(1))))),sK8)), 17.79/17.98 inference(cnf_transformation,[],[f373])). 17.79/17.98 tff(f453,plain,( 17.79/17.98 prime1(2)), 17.79/17.98 inference(cnf_transformation,[],[f55])). 17.79/17.98 tff(f454,plain,( 17.79/17.98 prime1(3)), 17.79/17.98 inference(cnf_transformation,[],[f26])). 17.79/17.98 tff(f457,plain,( 17.79/17.98 ( ! [X0:$int] : (divides1(X0,X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f170])). 17.79/17.98 tff(f466,plain,( 17.79/17.98 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 17.79/17.98 inference(cnf_transformation,[],[f178])). 17.79/17.98 tff(f468,plain,( 17.79/17.98 ( ! [X0:uni] : (t2tb3(tb2t3(X0)) = X0) )), 17.79/17.98 inference(cnf_transformation,[],[f180])). 17.79/17.98 tff(f470,plain,( 17.79/17.98 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 17.79/17.98 inference(cnf_transformation,[],[f182])). 17.79/17.98 tff(f471,plain,( 17.79/17.98 ( ! [X0:$int] : (div2(X0,1) = X0) )), 17.79/17.98 inference(cnf_transformation,[],[f183])). 17.79/17.98 tff(f473,plain,( 17.79/17.98 ( ! [X0:$int] : (mod2(X0,1) = 0) )), 17.79/17.98 inference(cnf_transformation,[],[f185])). 17.79/17.98 tff(f478,plain,( 17.79/17.98 ( ! [X0:$int] : (~$less(X0,0) | abs1(X0) = $uminus(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f271])). 17.79/17.98 tff(f479,plain,( 17.79/17.98 ( ! [X0:$int] : ($less(X0,0) | abs1(X0) = X0) )), 17.79/17.98 inference(cnf_transformation,[],[f271])). 17.79/17.98 tff(f482,plain,( 17.79/17.98 ( ! [X0:$int] : (~odd1(X0) | ~even1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f272])). 17.79/17.98 tff(f486,plain,( 17.79/17.98 ( ! [X0:$int] : (~prime1(X0) | ~even1(X0) | 2 = X0) )), 17.79/17.98 inference(cnf_transformation,[],[f277])). 17.79/17.98 tff(f487,plain,( 17.79/17.98 ( ! [X0:$int] : (~prime1(X0) | $less(X0,3) | odd1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f279])). 17.79/17.98 tff(f489,plain,( 17.79/17.98 ( ! [X0:$int] : (~odd1(X0) | ~even1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f282])). 17.79/17.98 tff(f490,plain,( 17.79/17.98 ( ! [X0:$int] : (even1($sum(X0,1)) | ~odd1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f283])). 17.79/17.98 tff(f491,plain,( 17.79/17.98 ( ! [X0:$int] : (odd1($sum(X0,2)) | ~odd1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f284])). 17.79/17.98 tff(f495,plain,( 17.79/17.98 ( ! [X0:$int] : (~$less(X0,$product(sK9(X0),sK9(X0))) | prime1(X0) | $less(X0,2)) )), 17.79/17.98 inference(cnf_transformation,[],[f375])). 17.79/17.98 tff(f496,plain,( 17.79/17.98 ( ! [X0:$int] : (prime1(X0) | $less(1,$product(sK9(X0),sK9(X0))) | $less(X0,2)) )), 17.79/17.98 inference(cnf_transformation,[],[f375])). 17.79/17.98 tff(f499,plain,( 17.79/17.98 ( ! [X0:$int] : (divides1(2,X0) | odd1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f376])). 17.79/17.98 tff(f501,plain,( 17.79/17.98 ( ! [X0:$int] : (divides1(2,X0) | ~even1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f377])). 17.79/17.98 tff(f502,plain,( 17.79/17.98 ( ! [X0:$int] : (prime1(X0) | $less(sK10(X0),X0) | $less(X0,2)) )), 17.79/17.98 inference(cnf_transformation,[],[f382])). 17.79/17.98 tff(f503,plain,( 17.79/17.98 ( ! [X0:$int] : (prime1(X0) | $less(1,sK10(X0)) | $less(X0,2)) )), 17.79/17.98 inference(cnf_transformation,[],[f382])). 17.79/17.98 tff(f505,plain,( 17.79/17.98 ( ! [X0:$int] : (~$less(X0,2) | ~prime1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f382])). 17.79/17.98 tff(f506,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(1,X1) | ~divides1(X1,X0) | ~$less(X1,X0) | ~prime1(X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f382])). 17.79/17.98 tff(f510,plain,( 17.79/17.98 ( ! [X0:$int] : (~odd1(X0) | $sum($product(2,sK12(X0)),1) = X0) )), 17.79/17.98 inference(cnf_transformation,[],[f390])). 17.79/17.98 tff(f517,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(abs1(X0),abs1($product(div2(X0,X1),X1))) | 0 = X1) )), 17.79/17.98 inference(cnf_transformation,[],[f291])). 17.79/17.98 tff(f518,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : ($sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0 | 0 = X1) )), 17.79/17.98 inference(cnf_transformation,[],[f292])). 17.79/17.98 tff(f519,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : ($less($uminus(abs1(X1)),mod2(X0,X1)) | 0 = X1) )), 17.79/17.98 inference(cnf_transformation,[],[f293])). 17.79/17.98 tff(f520,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : ($less(mod2(X0,X1),abs1(X1)) | 0 = X1) )), 17.79/17.98 inference(cnf_transformation,[],[f293])). 17.79/17.98 tff(f523,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (mod2(X0,X1) != 0 | divides1(X1,X0) | 0 = X1) )), 17.79/17.98 inference(cnf_transformation,[],[f299])). 17.79/17.98 tff(f524,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (0 != $remainder_e(X0,X1) | divides1(X1,X0) | 0 = X1) )), 17.79/17.98 inference(cnf_transformation,[],[f301])). 17.79/17.98 tff(f525,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t1(get2(int,t2tb2(X0),sK13(X0,X1,X2))) = X2 | ~prime1(X2) | $less(X2,2) | $less(tb2t1(get2(int,t2tb2(X0),$sum(X1,$uminus(1)))),X2) | ~first_primes1(X0,X1) | $less(X1,1)) )), 17.79/17.98 inference(cnf_transformation,[],[f392])). 17.79/17.98 tff(f526,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : ($less(sK13(X0,X1,X2),X1) | ~prime1(X2) | $less(X2,2) | $less(tb2t1(get2(int,t2tb2(X0),$sum(X1,$uminus(1)))),X2) | ~first_primes1(X0,X1) | $less(X1,1)) )), 17.79/17.98 inference(cnf_transformation,[],[f392])). 17.79/17.98 tff(f540,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(abs1(X1),abs1(X0)) | 0 = X1 | ~divides1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f310])). 17.79/17.98 tff(f550,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(X0,div2(X0,X1)) | ~$less(0,X1) | $less(X0,0)) )), 17.79/17.98 inference(cnf_transformation,[],[f325])). 17.79/17.98 tff(f551,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | $less(X0,0) | mod2(X0,X1) = X0) )), 17.79/17.98 inference(cnf_transformation,[],[f327])). 17.79/17.98 tff(f552,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | $less(X0,0) | div2(X0,X1) = 0) )), 17.79/17.98 inference(cnf_transformation,[],[f329])). 17.79/17.98 tff(f554,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(X1,0) | ~lt_nat1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f397])). 17.79/17.98 tff(f555,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (~$less(X0,X1) | $less(X1,0) | lt_nat1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f397])). 17.79/17.98 tff(f556,plain,( 17.79/17.98 ( ! [X0:$int,X3:$int,X1:$int] : (~$less(X3,X1) | ~prime1(X3) | ~$less(X0,X3) | ~no_prime_in1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f401])). 17.79/17.98 tff(f557,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (no_prime_in1(X0,X1) | $less(X0,sK21(X0,X1))) )), 17.79/17.98 inference(cnf_transformation,[],[f401])). 17.79/17.98 tff(f558,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (no_prime_in1(X0,X1) | $less(sK21(X0,X1),X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f401])). 17.79/17.98 tff(f559,plain,( 17.79/17.98 ( ! [X0:$int,X1:$int] : (prime1(sK21(X0,X1)) | no_prime_in1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f401])). 17.79/17.98 tff(f599,plain,( 17.79/17.98 ( ! [X4:$int,X0:array_int,X5:$int,X1:$int] : ($less(tb2t1(get2(int,t2tb2(X0),X4)),tb2t1(get2(int,t2tb2(X0),X5))) | ~$less(X4,X5) | ~$less(X5,X1) | $less(X4,0) | ~first_primes1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f410])). 17.79/17.98 tff(f600,plain,( 17.79/17.98 ( ! [X0:array_int,X3:$int,X1:$int] : (prime1(tb2t1(get2(int,t2tb2(X0),X3))) | ~$less(X3,X1) | $less(X3,0) | ~first_primes1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f410])). 17.79/17.98 tff(f601,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : (no_prime_in1(tb2t1(get2(int,t2tb2(X0),X2)),tb2t1(get2(int,t2tb2(X0),$sum(X2,1)))) | $less(X2,0) | ~$less(X2,$sum(X1,$uminus(1))) | ~first_primes1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f410])). 17.79/17.98 tff(f602,plain,( 17.79/17.98 ( ! [X0:array_int,X1:$int] : (tb2t1(get2(int,t2tb2(X0),0)) = 2 | ~first_primes1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f410])). 17.79/17.98 tff(f613,plain,( 17.79/17.98 ( ! [X2:$int,X0:ty,X1:uni] : (get(X0,int,elts(X0,X1),t2tb1(X2)) = get2(X0,X1,X2)) )), 17.79/17.98 inference(cnf_transformation,[],[f239])). 17.79/17.98 tff(f614,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(0,X0) | $remainder_e(X2,X0) = $remainder_e($sum($product(X0,X1),X2),X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f334])). 17.79/17.98 tff(f615,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(0,X0) | $sum(X1,$quotient_e(X2,X0)) = $quotient_e($sum($product(X0,X1),X2),X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f335])). 17.79/17.98 tff(f625,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : (divides1(X0,$sum(X1,X2)) | ~divides1(X0,X2) | ~divides1(X0,X1)) )), 17.79/17.98 inference(cnf_transformation,[],[f348])). 17.79/17.98 tff(f626,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 17.79/17.98 inference(cnf_transformation,[],[f350])). 17.79/17.98 tff(f629,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(0,X0) | mod2(X2,X0) = mod2($sum($product(X0,X1),X2),X0) | $less(X2,0) | $less(X1,0)) )), 17.79/17.98 inference(cnf_transformation,[],[f354])). 17.79/17.98 tff(f630,plain,( 17.79/17.98 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(0,X0) | div2($sum($product(X0,X1),X2),X0) = $sum(X1,div2(X2,X0)) | $less(X1,0) | $less(X2,0)) )), 17.79/17.98 inference(cnf_transformation,[],[f356])). 17.79/17.98 tff(f644,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : ($less(sK13(X0,X1,X2),X1) | ~prime1(X2) | $less(X2,2) | $less(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(X1,$uminus(1))))),X2) | ~first_primes1(X0,X1) | $less(X1,1)) )), 17.79/17.98 inference(definition_unfolding,[],[f526,f613])). 17.79/17.98 tff(f645,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(sK13(X0,X1,X2)))) = X2 | ~prime1(X2) | $less(X2,2) | $less(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(X1,$uminus(1))))),X2) | ~first_primes1(X0,X1) | $less(X1,1)) )), 17.79/17.98 inference(definition_unfolding,[],[f525,f613,f613])). 17.79/17.98 tff(f646,plain,( 17.79/17.98 ( ! [X0:array_int,X1:$int] : (~first_primes1(X0,X1) | tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(0))) = 2) )), 17.79/17.98 inference(definition_unfolding,[],[f602,f613])). 17.79/17.98 tff(f647,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : (no_prime_in1(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(X2))),tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(X2,1))))) | $less(X2,0) | ~$less(X2,$sum(X1,$uminus(1))) | ~first_primes1(X0,X1)) )), 17.79/17.98 inference(definition_unfolding,[],[f601,f613,f613])). 17.79/17.98 tff(f648,plain,( 17.79/17.98 ( ! [X0:array_int,X3:$int,X1:$int] : (~$less(X3,X1) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(X3)))) | $less(X3,0) | ~first_primes1(X0,X1)) )), 17.79/17.98 inference(definition_unfolding,[],[f600,f613])). 17.79/17.98 tff(f649,plain,( 17.79/17.98 ( ! [X4:$int,X0:array_int,X5:$int,X1:$int] : (~$less(X5,X1) | ~$less(X4,X5) | $less(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(X4))),tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(X5)))) | $less(X4,0) | ~first_primes1(X0,X1)) )), 17.79/17.98 inference(definition_unfolding,[],[f599,f613,f613])). 17.79/17.98 tff(f697,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : (~first_primes1(X0,X1) | ~prime1(X2) | $less(X2,2) | $less(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(X1,-1)))),X2) | $less(sK13(X0,X1,X2),X1) | $less(X1,1)) )), 17.79/17.98 inference(evaluation,[],[f644])). 17.79/17.98 tff(f698,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : (~first_primes1(X0,X1) | ~prime1(X2) | $less(X2,2) | $less(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(X1,-1)))),X2) | tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(sK13(X0,X1,X2)))) = X2 | $less(X1,1)) )), 17.79/17.98 inference(evaluation,[],[f645])). 17.79/17.98 tff(f699,plain,( 17.79/17.98 ( ! [X2:$int,X0:array_int,X1:$int] : (~$less(X2,$sum(X1,-1)) | $less(X2,0) | no_prime_in1(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(X2))),tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(X2,1))))) | ~first_primes1(X0,X1)) )), 17.79/17.98 inference(evaluation,[],[f647])). 17.79/17.98 tff(f712,plain,( 17.79/17.98 ~$less(sK0,$sum(2,1))), 17.79/17.98 inference(evaluation,[],[f426])). 17.79/17.98 tff(f713,plain,( 17.79/17.98 ~$less(sK0,3)), 17.79/17.98 inference(evaluation,[],[f712])). 17.79/17.98 tff(f714,plain,( 17.79/17.98 ~$less($sum(sK0,-1),sK5)), 17.79/17.98 inference(evaluation,[],[f427])). 17.79/17.98 tff(f715,plain,( 17.79/17.98 $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,-1))))))), 17.79/17.98 inference(evaluation,[],[f429])). 17.79/17.98 tff(f716,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,-1)))),sK3)), 17.79/17.98 inference(evaluation,[],[f431])). 17.79/17.98 tff(f717,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,-1)))),sK3)), 17.79/17.98 inference(evaluation,[],[f432])). 17.79/17.98 tff(f718,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,-1)))),sK3)), 17.79/17.98 inference(evaluation,[],[f436])). 17.79/17.98 tff(f719,plain,( 17.79/17.98 $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,-1))))))), 17.79/17.98 inference(evaluation,[],[f438])). 17.79/17.98 tff(f720,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,-1)))),sK3)), 17.79/17.98 inference(evaluation,[],[f439])). 17.79/17.98 tff(f721,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,-1)))),sK6)), 17.79/17.98 inference(evaluation,[],[f443])). 17.79/17.98 tff(f722,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(sK5,-1)))),sK6)), 17.79/17.98 inference(evaluation,[],[f444])). 17.79/17.98 tff(f723,plain,( 17.79/17.98 ~no_prime_in1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum($sum(sK5,1),-1)))),sK8)), 17.79/17.98 inference(evaluation,[],[f451])). 17.79/17.98 tff(f724,plain,( 17.79/17.98 ~no_prime_in1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(sK5,1))))),sK8)), 17.79/17.98 inference(forward_demodulation,[],[f723,f122])). 17.79/17.98 tff(f725,plain,( 17.79/17.98 ~no_prime_in1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)), 17.79/17.98 inference(forward_demodulation,[],[f724,f122])). 17.79/17.98 tff(f727,plain,( 17.79/17.98 spl27_1 <=> ~no_prime_in1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_1])])). 17.79/17.98 tff(f728,plain,( 17.79/17.98 ~no_prime_in1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8) | ~spl27_1), 17.79/17.98 inference(avatar_component_clause,[],[f727])). 17.79/17.98 tff(f729,plain,( 17.79/17.98 ~spl27_1), 17.79/17.98 inference(avatar_split_clause,[],[f725,f727])). 17.79/17.98 tff(f731,plain,( 17.79/17.98 spl27_2 <=> $sum(sK6,2) = sK8), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_2])])). 17.79/17.98 tff(f732,plain,( 17.79/17.98 $sum(sK6,2) = sK8 | ~spl27_2), 17.79/17.98 inference(avatar_component_clause,[],[f731])). 17.79/17.98 tff(f733,plain,( 17.79/17.98 spl27_2), 17.79/17.98 inference(avatar_split_clause,[],[f450,f731])). 17.79/17.98 tff(f735,plain,( 17.79/17.98 spl27_5 <=> ~$less(sK0,0)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_5])])). 17.79/17.98 tff(f736,plain,( 17.79/17.98 ~$less(sK0,0) | ~spl27_5), 17.79/17.98 inference(avatar_component_clause,[],[f735])). 17.79/17.98 tff(f737,plain,( 17.79/17.98 ~spl27_5), 17.79/17.98 inference(avatar_split_clause,[],[f449,f735])). 17.79/17.98 tff(f739,plain,( 17.79/17.98 spl27_6 <=> tb2t3(set(int,int,t2tb3(sK4),t2tb1(sK5),t2tb1(sK6))) = sK7), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_6])])). 17.79/17.98 tff(f740,plain,( 17.79/17.98 tb2t3(set(int,int,t2tb3(sK4),t2tb1(sK5),t2tb1(sK6))) = sK7 | ~spl27_6), 17.79/17.98 inference(avatar_component_clause,[],[f739])). 17.79/17.98 tff(f741,plain,( 17.79/17.98 spl27_6), 17.79/17.98 inference(avatar_split_clause,[],[f448,f739])). 17.79/17.98 tff(f743,plain,( 17.79/17.98 spl27_8 <=> $less(sK5,sK0)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_8])])). 17.79/17.98 tff(f744,plain,( 17.79/17.98 $less(sK5,sK0) | ~spl27_8), 17.79/17.98 inference(avatar_component_clause,[],[f743])). 17.79/17.98 tff(f745,plain,( 17.79/17.98 spl27_8), 17.79/17.98 inference(avatar_split_clause,[],[f447,f743])). 17.79/17.98 tff(f747,plain,( 17.79/17.98 spl27_11 <=> ~$less(sK5,0)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_11])])). 17.79/17.98 tff(f748,plain,( 17.79/17.98 ~$less(sK5,0) | ~spl27_11), 17.79/17.98 inference(avatar_component_clause,[],[f747])). 17.79/17.98 tff(f749,plain,( 17.79/17.98 ~spl27_11), 17.79/17.98 inference(avatar_split_clause,[],[f446,f747])). 17.79/17.98 tff(f751,plain,( 17.79/17.98 spl27_12 <=> prime1(sK6)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_12])])). 17.79/17.98 tff(f752,plain,( 17.79/17.98 prime1(sK6) | ~spl27_12), 17.79/17.98 inference(avatar_component_clause,[],[f751])). 17.79/17.98 tff(f753,plain,( 17.79/17.98 spl27_12), 17.79/17.98 inference(avatar_split_clause,[],[f445,f751])). 17.79/17.98 tff(f754,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6)), 17.79/17.98 inference(forward_demodulation,[],[f722,f122])). 17.79/17.98 tff(f756,plain,( 17.79/17.98 spl27_14 <=> no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_14])])). 17.79/17.98 tff(f758,plain,( 17.79/17.98 spl27_14), 17.79/17.98 inference(avatar_split_clause,[],[f754,f756])). 17.79/17.98 tff(f759,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6)), 17.79/17.98 inference(forward_demodulation,[],[f721,f122])). 17.79/17.98 tff(f761,plain,( 17.79/17.98 spl27_16 <=> $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_16])])). 17.79/17.98 tff(f762,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6) | ~spl27_16), 17.79/17.98 inference(avatar_component_clause,[],[f761])). 17.79/17.98 tff(f763,plain,( 17.79/17.98 spl27_16), 17.79/17.98 inference(avatar_split_clause,[],[f759,f761])). 17.79/17.98 tff(f764,plain,( 17.79/17.98 ~spl27_5), 17.79/17.98 inference(avatar_split_clause,[],[f442,f735])). 17.79/17.98 tff(f766,plain,( 17.79/17.98 spl27_18 <=> $less(1,sK5)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_18])])). 17.79/17.98 tff(f767,plain,( 17.79/17.98 $less(1,sK5) | ~spl27_18), 17.79/17.98 inference(avatar_component_clause,[],[f766])). 17.79/17.98 tff(f768,plain,( 17.79/17.98 spl27_18), 17.79/17.98 inference(avatar_split_clause,[],[f440,f766])). 17.79/17.98 tff(f769,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3)), 17.79/17.98 inference(forward_demodulation,[],[f720,f122])). 17.79/17.98 tff(f771,plain,( 17.79/17.98 spl27_20 <=> $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_20])])). 17.79/17.98 tff(f772,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3) | ~spl27_20), 17.79/17.98 inference(avatar_component_clause,[],[f771])). 17.79/17.98 tff(f773,plain,( 17.79/17.98 spl27_20), 17.79/17.98 inference(avatar_split_clause,[],[f769,f771])). 17.79/17.98 tff(f774,plain,( 17.79/17.98 $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.98 inference(forward_demodulation,[],[f719,f122])). 17.79/17.98 tff(f776,plain,( 17.79/17.98 spl27_22 <=> $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_22])])). 17.79/17.98 tff(f777,plain,( 17.79/17.98 $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~spl27_22), 17.79/17.98 inference(avatar_component_clause,[],[f776])). 17.79/17.98 tff(f778,plain,( 17.79/17.98 spl27_22), 17.79/17.98 inference(avatar_split_clause,[],[f774,f776])). 17.79/17.98 tff(f780,plain,( 17.79/17.98 spl27_24 <=> odd1(sK3)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_24])])). 17.79/17.98 tff(f781,plain,( 17.79/17.98 odd1(sK3) | ~spl27_24), 17.79/17.98 inference(avatar_component_clause,[],[f780])). 17.79/17.98 tff(f782,plain,( 17.79/17.98 spl27_24), 17.79/17.98 inference(avatar_split_clause,[],[f437,f780])). 17.79/17.98 tff(f783,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3)), 17.79/17.98 inference(forward_demodulation,[],[f718,f122])). 17.79/17.98 tff(f785,plain,( 17.79/17.98 spl27_26 <=> no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_26])])). 17.79/17.98 tff(f787,plain,( 17.79/17.98 spl27_26), 17.79/17.98 inference(avatar_split_clause,[],[f783,f785])). 17.79/17.98 tff(f789,plain,( 17.79/17.98 spl27_28 <=> first_primes1(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_28])])). 17.79/17.98 tff(f790,plain,( 17.79/17.98 first_primes1(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5) | ~spl27_28), 17.79/17.98 inference(avatar_component_clause,[],[f789])). 17.79/17.98 tff(f791,plain,( 17.79/17.98 spl27_28), 17.79/17.98 inference(avatar_split_clause,[],[f434,f789])). 17.79/17.98 tff(f792,plain,( 17.79/17.98 spl27_28), 17.79/17.98 inference(avatar_split_clause,[],[f433,f789])). 17.79/17.98 tff(f793,plain,( 17.79/17.98 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3)), 17.79/17.98 inference(forward_demodulation,[],[f717,f122])). 17.79/17.98 tff(f794,plain,( 17.79/17.98 spl27_20), 17.79/17.98 inference(avatar_split_clause,[],[f793,f771])). 17.79/17.98 tff(f795,plain,( 17.79/17.98 no_prime_in1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3)), 17.79/17.98 inference(forward_demodulation,[],[f716,f122])). 17.79/17.98 tff(f796,plain,( 17.79/17.98 spl27_26), 17.79/17.98 inference(avatar_split_clause,[],[f795,f785])). 17.79/17.98 tff(f797,plain,( 17.79/17.98 spl27_24), 17.79/17.98 inference(avatar_split_clause,[],[f430,f780])). 17.79/17.98 tff(f798,plain,( 17.79/17.98 $less(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.98 inference(forward_demodulation,[],[f715,f122])). 17.79/17.98 tff(f799,plain,( 17.79/17.98 spl27_22), 17.79/17.98 inference(avatar_split_clause,[],[f798,f776])). 17.79/17.98 tff(f801,plain,( 17.79/17.98 spl27_31 <=> ~$less(sK5,2)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_31])])). 17.79/17.98 tff(f802,plain,( 17.79/17.98 ~$less(sK5,2) | ~spl27_31), 17.79/17.98 inference(avatar_component_clause,[],[f801])). 17.79/17.98 tff(f803,plain,( 17.79/17.98 ~spl27_31), 17.79/17.98 inference(avatar_split_clause,[],[f428,f801])). 17.79/17.98 tff(f804,plain,( 17.79/17.98 ~$less($sum(-1,sK0),sK5)), 17.79/17.98 inference(forward_demodulation,[],[f714,f122])). 17.79/17.98 tff(f806,plain,( 17.79/17.98 spl27_33 <=> ~$less($sum(-1,sK0),sK5)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_33])])). 17.79/17.98 tff(f807,plain,( 17.79/17.98 ~$less($sum(-1,sK0),sK5) | ~spl27_33), 17.79/17.98 inference(avatar_component_clause,[],[f806])). 17.79/17.98 tff(f808,plain,( 17.79/17.98 ~spl27_33), 17.79/17.98 inference(avatar_split_clause,[],[f804,f806])). 17.79/17.98 tff(f810,plain,( 17.79/17.98 spl27_35 <=> ~$less(sK0,3)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_35])])). 17.79/17.98 tff(f811,plain,( 17.79/17.98 ~$less(sK0,3) | ~spl27_35), 17.79/17.98 inference(avatar_component_clause,[],[f810])). 17.79/17.98 tff(f812,plain,( 17.79/17.98 ~spl27_35), 17.79/17.98 inference(avatar_split_clause,[],[f713,f810])). 17.79/17.98 tff(f814,plain,( 17.79/17.98 spl27_36 <=> tb2t3(set(int,int,t2tb3(sK1),t2tb1(1),t2tb1(3))) = sK2), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_36])])). 17.79/17.98 tff(f815,plain,( 17.79/17.98 tb2t3(set(int,int,t2tb3(sK1),t2tb1(1),t2tb1(3))) = sK2 | ~spl27_36), 17.79/17.98 inference(avatar_component_clause,[],[f814])). 17.79/17.98 tff(f816,plain,( 17.79/17.98 spl27_36), 17.79/17.98 inference(avatar_split_clause,[],[f425,f814])). 17.79/17.98 tff(f817,plain,( 17.79/17.98 ~spl27_5), 17.79/17.98 inference(avatar_split_clause,[],[f424,f735])). 17.79/17.98 tff(f819,plain,( 17.79/17.98 spl27_38 <=> $less(1,sK0)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_38])])). 17.79/17.98 tff(f820,plain,( 17.79/17.98 $less(1,sK0) | ~spl27_38), 17.79/17.98 inference(avatar_component_clause,[],[f819])). 17.79/17.98 tff(f821,plain,( 17.79/17.98 spl27_38), 17.79/17.98 inference(avatar_split_clause,[],[f423,f819])). 17.79/17.98 tff(f823,plain,( 17.79/17.98 spl27_40 <=> tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = sK1), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_40])])). 17.79/17.98 tff(f824,plain,( 17.79/17.98 tb2t3(set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2))) = sK1 | ~spl27_40), 17.79/17.98 inference(avatar_component_clause,[],[f823])). 17.79/17.98 tff(f825,plain,( 17.79/17.98 spl27_40), 17.79/17.98 inference(avatar_split_clause,[],[f421,f823])). 17.79/17.98 tff(f826,plain,( 17.79/17.98 ~spl27_5), 17.79/17.98 inference(avatar_split_clause,[],[f420,f735])). 17.79/17.98 tff(f828,plain,( 17.79/17.98 spl27_42 <=> $less(0,sK0)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_42])])). 17.79/17.98 tff(f829,plain,( 17.79/17.98 $less(0,sK0) | ~spl27_42), 17.79/17.98 inference(avatar_component_clause,[],[f828])). 17.79/17.98 tff(f830,plain,( 17.79/17.98 spl27_42), 17.79/17.98 inference(avatar_split_clause,[],[f419,f828])). 17.79/17.98 tff(f831,plain,( 17.79/17.98 ~spl27_5), 17.79/17.98 inference(avatar_split_clause,[],[f417,f735])). 17.79/17.98 tff(f832,plain,( 17.79/17.98 ~spl27_5), 17.79/17.98 inference(avatar_split_clause,[],[f416,f735])). 17.79/17.98 tff(f834,plain,( 17.79/17.98 spl27_45 <=> ~$less(sK0,2)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_45])])). 17.79/17.98 tff(f835,plain,( 17.79/17.98 ~$less(sK0,2) | ~spl27_45), 17.79/17.98 inference(avatar_component_clause,[],[f834])). 17.79/17.98 tff(f836,plain,( 17.79/17.98 ~spl27_45), 17.79/17.98 inference(avatar_split_clause,[],[f415,f834])). 17.79/17.98 tff(f837,plain,( 17.79/17.98 $less(sK6,3) | odd1(sK6) | ~spl27_12), 17.79/17.98 inference(resolution,[],[f752,f487])). 17.79/17.98 tff(f838,plain,( 17.79/17.98 ~even1(sK6) | 2 = sK6 | ~spl27_12), 17.79/17.98 inference(resolution,[],[f752,f486])). 17.79/17.98 tff(f840,plain,( 17.79/17.98 spl27_46 <=> odd1(sK6)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_46])])). 17.79/17.98 tff(f841,plain,( 17.79/17.98 odd1(sK6) | ~spl27_46), 17.79/17.98 inference(avatar_component_clause,[],[f840])). 17.79/17.98 tff(f843,plain,( 17.79/17.98 spl27_48 <=> $less(sK6,3)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_48])])). 17.79/17.98 tff(f845,plain,( 17.79/17.98 spl27_46 | spl27_48 | ~spl27_12), 17.79/17.98 inference(avatar_split_clause,[],[f837,f751,f843,f840])). 17.79/17.98 tff(f847,plain,( 17.79/17.98 spl27_50 <=> 2 = sK6), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_50])])). 17.79/17.98 tff(f850,plain,( 17.79/17.98 spl27_53 <=> ~even1(sK6)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_53])])). 17.79/17.98 tff(f852,plain,( 17.79/17.98 spl27_50 | ~spl27_53 | ~spl27_12), 17.79/17.98 inference(avatar_split_clause,[],[f838,f751,f850,f847])). 17.79/17.98 tff(f853,plain,( 17.79/17.98 $sum($product(2,sK12(sK3)),1) = sK3 | ~spl27_24), 17.79/17.98 inference(resolution,[],[f781,f510])). 17.79/17.98 tff(f854,plain,( 17.79/17.98 ~even1(sK3) | ~spl27_24), 17.79/17.98 inference(resolution,[],[f781,f489])). 17.79/17.98 tff(f855,plain,( 17.79/17.98 ~even1(sK3) | ~spl27_24), 17.79/17.98 inference(resolution,[],[f781,f482])). 17.79/17.98 tff(f857,plain,( 17.79/17.98 spl27_54 <=> $sum($product(2,sK12(sK3)),1) = sK3), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_54])])). 17.79/17.98 tff(f858,plain,( 17.79/17.98 $sum($product(2,sK12(sK3)),1) = sK3 | ~spl27_54), 17.79/17.98 inference(avatar_component_clause,[],[f857])). 17.79/17.98 tff(f859,plain,( 17.79/17.98 spl27_54 | ~spl27_24), 17.79/17.98 inference(avatar_split_clause,[],[f853,f780,f857])). 17.79/17.98 tff(f861,plain,( 17.79/17.98 spl27_57 <=> ~even1(sK3)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_57])])). 17.79/17.98 tff(f863,plain,( 17.79/17.98 ~spl27_57 | ~spl27_24), 17.79/17.98 inference(avatar_split_clause,[],[f854,f780,f861])). 17.79/17.98 tff(f864,plain,( 17.79/17.98 ~spl27_57 | ~spl27_24), 17.79/17.98 inference(avatar_split_clause,[],[f855,f780,f861])). 17.79/17.98 tff(f865,plain,( 17.79/17.98 abs1(sK0) = sK0 | ~spl27_5), 17.79/17.98 inference(resolution,[],[f736,f479])). 17.79/17.98 tff(f869,plain,( 17.79/17.98 spl27_58 <=> abs1(sK0) = sK0), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_58])])). 17.79/17.98 tff(f870,plain,( 17.79/17.98 abs1(sK0) = sK0 | ~spl27_58), 17.79/17.98 inference(avatar_component_clause,[],[f869])). 17.79/17.98 tff(f871,plain,( 17.79/17.98 spl27_58 | spl27_5), 17.79/17.98 inference(avatar_split_clause,[],[f865,f735,f869])). 17.79/17.98 tff(f872,plain,( 17.79/17.98 $sum($product(2,sK12(sK6)),1) = sK6 | ~spl27_46), 17.79/17.98 inference(resolution,[],[f841,f510])). 17.79/17.98 tff(f876,plain,( 17.79/17.98 spl27_60 <=> $sum($product(2,sK12(sK6)),1) = sK6), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_60])])). 17.79/17.98 tff(f877,plain,( 17.79/17.98 $sum($product(2,sK12(sK6)),1) = sK6 | ~spl27_60), 17.79/17.98 inference(avatar_component_clause,[],[f876])). 17.79/17.98 tff(f878,plain,( 17.79/17.98 spl27_60 | ~spl27_46), 17.79/17.98 inference(avatar_split_clause,[],[f872,f840,f876])). 17.79/17.98 tff(f879,plain,( 17.79/17.98 ( ! [X0:$int] : (~$less(X0,sK5) | $less(X0,sK0)) ) | ~spl27_8), 17.79/17.98 inference(resolution,[],[f744,f128])). 17.79/17.98 tff(f880,plain,( 17.79/17.98 $less(sK5,0) | mod2(sK5,sK0) = sK5 | ~spl27_8), 17.79/17.98 inference(resolution,[],[f744,f551])). 17.79/17.98 tff(f881,plain,( 17.79/17.98 $less(sK5,0) | div2(sK5,sK0) = 0 | ~spl27_8), 17.79/17.98 inference(resolution,[],[f744,f552])). 17.79/17.98 tff(f882,plain,( 17.79/17.98 $less(sK0,0) | lt_nat1(sK5,sK0) | ~spl27_8), 17.79/17.98 inference(resolution,[],[f744,f555])). 17.79/17.98 tff(f883,plain,( 17.79/17.98 ( ! [X1:$int] : (~prime1(sK5) | ~$less(X1,sK5) | ~no_prime_in1(X1,sK0)) ) | ~spl27_8), 17.79/17.98 inference(resolution,[],[f744,f556])). 17.79/17.98 tff(f884,plain,( 17.79/17.98 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK5)))) | $less(sK5,0) | ~first_primes1(X2,sK0)) ) | ~spl27_8), 17.79/17.98 inference(resolution,[],[f744,f648])). 17.79/17.98 tff(f885,plain,( 17.79/17.98 ( ! [X4:array_int,X3:$int] : (~$less(X3,sK5) | $less(tb2t1(get(int,int,elts(int,t2tb2(X4)),t2tb1(X3))),tb2t1(get(int,int,elts(int,t2tb2(X4)),t2tb1(sK5)))) | $less(X3,0) | ~first_primes1(X4,sK0)) ) | ~spl27_8), 17.79/17.98 inference(resolution,[],[f744,f649])). 17.79/17.98 tff(f887,plain,( 17.79/17.98 spl27_62 <=> mod2(sK5,sK0) = sK5), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_62])])). 17.79/17.98 tff(f888,plain,( 17.79/17.98 mod2(sK5,sK0) = sK5 | ~spl27_62), 17.79/17.98 inference(avatar_component_clause,[],[f887])). 17.79/17.98 tff(f890,plain,( 17.79/17.98 spl27_10 <=> $less(sK5,0)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_10])])). 17.79/17.98 tff(f892,plain,( 17.79/17.98 spl27_62 | spl27_10 | ~spl27_8), 17.79/17.98 inference(avatar_split_clause,[],[f880,f743,f890,f887])). 17.79/17.98 tff(f894,plain,( 17.79/17.98 spl27_64 <=> div2(sK5,sK0) = 0), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_64])])). 17.79/17.98 tff(f895,plain,( 17.79/17.98 div2(sK5,sK0) = 0 | ~spl27_64), 17.79/17.98 inference(avatar_component_clause,[],[f894])). 17.79/17.98 tff(f896,plain,( 17.79/17.98 spl27_64 | spl27_10 | ~spl27_8), 17.79/17.98 inference(avatar_split_clause,[],[f881,f743,f890,f894])). 17.79/17.98 tff(f898,plain,( 17.79/17.98 spl27_66 <=> lt_nat1(sK5,sK0)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_66])])). 17.79/17.98 tff(f901,plain,( 17.79/17.98 spl27_4 <=> $less(sK0,0)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_4])])). 17.79/17.98 tff(f903,plain,( 17.79/17.98 spl27_66 | spl27_4 | ~spl27_8), 17.79/17.98 inference(avatar_split_clause,[],[f882,f743,f901,f898])). 17.79/17.98 tff(f905,plain,( 17.79/17.98 spl27_68 <=> ! [X1 : $int] : (~$less(X1,sK5) | ~no_prime_in1(X1,sK0))), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_68])])). 17.79/17.98 tff(f906,plain,( 17.79/17.98 ( ! [X1:$int] : (~$less(X1,sK5) | ~no_prime_in1(X1,sK0)) ) | ~spl27_68), 17.79/17.98 inference(avatar_component_clause,[],[f905])). 17.79/17.98 tff(f908,plain,( 17.79/17.98 spl27_71 <=> ~prime1(sK5)), 17.79/17.98 introduced(avatar_definition,[new_symbols(naming,[spl27_71])])). 17.79/17.98 tff(f909,plain,( 17.79/17.98 ~prime1(sK5) | ~spl27_71), 17.79/17.98 inference(avatar_component_clause,[],[f908])). 17.79/17.98 tff(f910,plain,( 17.79/17.99 spl27_68 | ~spl27_71 | ~spl27_8), 17.79/17.99 inference(avatar_split_clause,[],[f883,f743,f908,f905])). 17.79/17.99 tff(f912,plain,( 17.79/17.99 spl27_72 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK5)))) | ~first_primes1(X2,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_72])])). 17.79/17.99 tff(f914,plain,( 17.79/17.99 spl27_10 | spl27_72 | ~spl27_8), 17.79/17.99 inference(avatar_split_clause,[],[f884,f743,f912,f890])). 17.79/17.99 tff(f915,plain,( 17.79/17.99 abs1(sK5) = sK5 | ~spl27_11), 17.79/17.99 inference(resolution,[],[f748,f479])). 17.79/17.99 tff(f916,plain,( 17.79/17.99 $less(0,sK5) | 0 = sK5 | ~spl27_11), 17.79/17.99 inference(resolution,[],[f748,f129])). 17.79/17.99 tff(f917,plain,( 17.79/17.99 $less(0,sK5) | 0 = sK5 | ~spl27_11), 17.79/17.99 inference(resolution,[],[f748,f129])). 17.79/17.99 tff(f919,plain,( 17.79/17.99 spl27_74 <=> abs1(sK5) = sK5), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_74])])). 17.79/17.99 tff(f920,plain,( 17.79/17.99 abs1(sK5) = sK5 | ~spl27_74), 17.79/17.99 inference(avatar_component_clause,[],[f919])). 17.79/17.99 tff(f921,plain,( 17.79/17.99 spl27_74 | spl27_11), 17.79/17.99 inference(avatar_split_clause,[],[f915,f747,f919])). 17.79/17.99 tff(f923,plain,( 17.79/17.99 spl27_76 <=> 0 = sK5), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_76])])). 17.79/17.99 tff(f926,plain,( 17.79/17.99 spl27_78 <=> $less(0,sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_78])])). 17.79/17.99 tff(f927,plain,( 17.79/17.99 $less(0,sK5) | ~spl27_78), 17.79/17.99 inference(avatar_component_clause,[],[f926])). 17.79/17.99 tff(f928,plain,( 17.79/17.99 spl27_76 | spl27_78 | spl27_11), 17.79/17.99 inference(avatar_split_clause,[],[f916,f747,f926,f923])). 17.79/17.99 tff(f929,plain,( 17.79/17.99 spl27_76 | spl27_78 | spl27_11), 17.79/17.99 inference(avatar_split_clause,[],[f917,f747,f926,f923])). 17.79/17.99 tff(f930,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less(sK5,X0) | ~divides1(sK5,X0) | ~prime1(X0)) ) | ~spl27_18), 17.79/17.99 inference(resolution,[],[f767,f506])). 17.79/17.99 tff(f931,plain,( 17.79/17.99 ( ! [X1:$int] : (~$less(X1,1) | $less(X1,sK5)) ) | ~spl27_18), 17.79/17.99 inference(resolution,[],[f767,f128])). 17.79/17.99 tff(f932,plain,( 17.79/17.99 $less(1,0) | mod2(1,sK5) = 1 | ~spl27_18), 17.79/17.99 inference(resolution,[],[f767,f551])). 17.79/17.99 tff(f933,plain,( 17.79/17.99 $less(1,0) | div2(1,sK5) = 0 | ~spl27_18), 17.79/17.99 inference(resolution,[],[f767,f552])). 17.79/17.99 tff(f934,plain,( 17.79/17.99 $less(sK5,0) | lt_nat1(1,sK5) | ~spl27_18), 17.79/17.99 inference(resolution,[],[f767,f555])). 17.79/17.99 tff(f937,plain,( 17.79/17.99 ( ! [X4:$int,X5:array_int] : (~$less(X4,1) | $less(tb2t1(get(int,int,elts(int,t2tb2(X5)),t2tb1(X4))),tb2t1(get(int,int,elts(int,t2tb2(X5)),t2tb1(1)))) | $less(X4,0) | ~first_primes1(X5,sK5)) ) | ~spl27_18), 17.79/17.99 inference(resolution,[],[f767,f649])). 17.79/17.99 tff(f939,plain,( 17.79/17.99 div2(1,sK5) = 0 | ~spl27_18), 17.79/17.99 inference(evaluation,[],[f933])). 17.79/17.99 tff(f940,plain,( 17.79/17.99 mod2(1,sK5) = 1 | ~spl27_18), 17.79/17.99 inference(evaluation,[],[f932])). 17.79/17.99 tff(f942,plain,( 17.79/17.99 spl27_80 <=> mod2(1,sK5) = 1), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_80])])). 17.79/17.99 tff(f943,plain,( 17.79/17.99 mod2(1,sK5) = 1 | ~spl27_80), 17.79/17.99 inference(avatar_component_clause,[],[f942])). 17.79/17.99 tff(f944,plain,( 17.79/17.99 spl27_80 | ~spl27_18), 17.79/17.99 inference(avatar_split_clause,[],[f940,f766,f942])). 17.79/17.99 tff(f946,plain,( 17.79/17.99 spl27_82 <=> div2(1,sK5) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_82])])). 17.79/17.99 tff(f947,plain,( 17.79/17.99 div2(1,sK5) = 0 | ~spl27_82), 17.79/17.99 inference(avatar_component_clause,[],[f946])). 17.79/17.99 tff(f948,plain,( 17.79/17.99 spl27_82 | ~spl27_18), 17.79/17.99 inference(avatar_split_clause,[],[f939,f766,f946])). 17.79/17.99 tff(f950,plain,( 17.79/17.99 spl27_84 <=> lt_nat1(1,sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_84])])). 17.79/17.99 tff(f952,plain,( 17.79/17.99 spl27_84 | spl27_10 | ~spl27_18), 17.79/17.99 inference(avatar_split_clause,[],[f934,f766,f890,f950])). 17.79/17.99 tff(f953,plain,( 17.79/17.99 $less(2,sK5) | 2 = sK5 | ~spl27_31), 17.79/17.99 inference(resolution,[],[f802,f129])). 17.79/17.99 tff(f954,plain,( 17.79/17.99 $less(2,sK5) | 2 = sK5 | ~spl27_31), 17.79/17.99 inference(resolution,[],[f802,f129])). 17.79/17.99 tff(f956,plain,( 17.79/17.99 spl27_86 <=> 2 = sK5), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_86])])). 17.79/17.99 tff(f957,plain,( 17.79/17.99 2 = sK5 | ~spl27_86), 17.79/17.99 inference(avatar_component_clause,[],[f956])). 17.79/17.99 tff(f959,plain,( 17.79/17.99 spl27_88 <=> $less(2,sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_88])])). 17.79/17.99 tff(f960,plain,( 17.79/17.99 $less(2,sK5) | ~spl27_88), 17.79/17.99 inference(avatar_component_clause,[],[f959])). 17.79/17.99 tff(f961,plain,( 17.79/17.99 spl27_86 | spl27_88 | spl27_31), 17.79/17.99 inference(avatar_split_clause,[],[f953,f801,f959,f956])). 17.79/17.99 tff(f962,plain,( 17.79/17.99 spl27_86 | spl27_88 | spl27_31), 17.79/17.99 inference(avatar_split_clause,[],[f954,f801,f959,f956])). 17.79/17.99 tff(f963,plain,( 17.79/17.99 $less(sK10(sK5),sK5) | $less(sK5,2) | ~spl27_71), 17.79/17.99 inference(resolution,[],[f909,f502])). 17.79/17.99 tff(f964,plain,( 17.79/17.99 $less(1,sK10(sK5)) | $less(sK5,2) | ~spl27_71), 17.79/17.99 inference(resolution,[],[f909,f503])). 17.79/17.99 tff(f965,plain,( 17.79/17.99 $less(1,$product(sK9(sK5),sK9(sK5))) | $less(sK5,2) | ~spl27_71), 17.79/17.99 inference(resolution,[],[f909,f496])). 17.79/17.99 tff(f966,plain,( 17.79/17.99 $less(sK10(2),2) | $less(sK5,2) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(forward_demodulation,[],[f963,f957])). 17.79/17.99 tff(f967,plain,( 17.79/17.99 $less(2,2) | $less(sK10(2),2) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(forward_demodulation,[],[f966,f957])). 17.79/17.99 tff(f968,plain,( 17.79/17.99 $less(sK10(2),2) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(evaluation,[],[f967])). 17.79/17.99 tff(f970,plain,( 17.79/17.99 spl27_90 <=> $less(sK10(2),2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_90])])). 17.79/17.99 tff(f972,plain,( 17.79/17.99 spl27_90 | spl27_71 | ~spl27_86), 17.79/17.99 inference(avatar_split_clause,[],[f968,f956,f908,f970])). 17.79/17.99 tff(f973,plain,( 17.79/17.99 $less(1,sK10(2)) | $less(sK5,2) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(forward_demodulation,[],[f964,f957])). 17.79/17.99 tff(f974,plain,( 17.79/17.99 $less(2,2) | $less(1,sK10(2)) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(forward_demodulation,[],[f973,f957])). 17.79/17.99 tff(f975,plain,( 17.79/17.99 $less(1,sK10(2)) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(evaluation,[],[f974])). 17.79/17.99 tff(f977,plain,( 17.79/17.99 spl27_92 <=> $less(1,sK10(2))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_92])])). 17.79/17.99 tff(f979,plain,( 17.79/17.99 spl27_92 | spl27_71 | ~spl27_86), 17.79/17.99 inference(avatar_split_clause,[],[f975,f956,f908,f977])). 17.79/17.99 tff(f980,plain,( 17.79/17.99 $less(1,$product(sK9(2),sK9(2))) | $less(sK5,2) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(forward_demodulation,[],[f965,f957])). 17.79/17.99 tff(f981,plain,( 17.79/17.99 $less(2,2) | $less(1,$product(sK9(2),sK9(2))) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(forward_demodulation,[],[f980,f957])). 17.79/17.99 tff(f982,plain,( 17.79/17.99 $less(1,$product(sK9(2),sK9(2))) | (~spl27_71 | ~spl27_86)), 17.79/17.99 inference(evaluation,[],[f981])). 17.79/17.99 tff(f984,plain,( 17.79/17.99 spl27_94 <=> $less(1,$product(sK9(2),sK9(2)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_94])])). 17.79/17.99 tff(f986,plain,( 17.79/17.99 spl27_94 | spl27_71 | ~spl27_86), 17.79/17.99 inference(avatar_split_clause,[],[f982,f956,f908,f984])). 17.79/17.99 tff(f988,plain,( 17.79/17.99 spl27_30 <=> $less(sK5,2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_30])])). 17.79/17.99 tff(f991,plain,( 17.79/17.99 spl27_96 <=> $less(1,$product(sK9(sK5),sK9(sK5)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_96])])). 17.79/17.99 tff(f993,plain,( 17.79/17.99 spl27_30 | spl27_96 | spl27_71), 17.79/17.99 inference(avatar_split_clause,[],[f965,f908,f991,f988])). 17.79/17.99 tff(f995,plain,( 17.79/17.99 spl27_98 <=> $less(1,sK10(sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_98])])). 17.79/17.99 tff(f997,plain,( 17.79/17.99 spl27_30 | spl27_98 | spl27_71), 17.79/17.99 inference(avatar_split_clause,[],[f964,f908,f995,f988])). 17.79/17.99 tff(f999,plain,( 17.79/17.99 spl27_100 <=> $less(sK10(sK5),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_100])])). 17.79/17.99 tff(f1001,plain,( 17.79/17.99 spl27_30 | spl27_100 | spl27_71), 17.79/17.99 inference(avatar_split_clause,[],[f963,f908,f999,f988])). 17.79/17.99 tff(f1002,plain,( 17.79/17.99 $less(3,sK0) | 3 = sK0 | ~spl27_35), 17.79/17.99 inference(resolution,[],[f811,f129])). 17.79/17.99 tff(f1003,plain,( 17.79/17.99 $less(3,sK0) | 3 = sK0 | ~spl27_35), 17.79/17.99 inference(resolution,[],[f811,f129])). 17.79/17.99 tff(f1005,plain,( 17.79/17.99 spl27_102 <=> 3 = sK0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_102])])). 17.79/17.99 tff(f1006,plain,( 17.79/17.99 3 = sK0 | ~spl27_102), 17.79/17.99 inference(avatar_component_clause,[],[f1005])). 17.79/17.99 tff(f1008,plain,( 17.79/17.99 spl27_104 <=> $less(3,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_104])])). 17.79/17.99 tff(f1009,plain,( 17.79/17.99 $less(3,sK0) | ~spl27_104), 17.79/17.99 inference(avatar_component_clause,[],[f1008])). 17.79/17.99 tff(f1010,plain,( 17.79/17.99 spl27_102 | spl27_104 | spl27_35), 17.79/17.99 inference(avatar_split_clause,[],[f1002,f810,f1008,f1005])). 17.79/17.99 tff(f1011,plain,( 17.79/17.99 spl27_102 | spl27_104 | spl27_35), 17.79/17.99 inference(avatar_split_clause,[],[f1003,f810,f1008,f1005])). 17.79/17.99 tff(f1012,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less(sK0,X0) | ~divides1(sK0,X0) | ~prime1(X0)) ) | ~spl27_38), 17.79/17.99 inference(resolution,[],[f820,f506])). 17.79/17.99 tff(f1013,plain,( 17.79/17.99 ( ! [X1:$int] : (~$less(X1,1) | $less(X1,sK0)) ) | ~spl27_38), 17.79/17.99 inference(resolution,[],[f820,f128])). 17.79/17.99 tff(f1014,plain,( 17.79/17.99 $less(1,0) | mod2(1,sK0) = 1 | ~spl27_38), 17.79/17.99 inference(resolution,[],[f820,f551])). 17.79/17.99 tff(f1015,plain,( 17.79/17.99 $less(1,0) | div2(1,sK0) = 0 | ~spl27_38), 17.79/17.99 inference(resolution,[],[f820,f552])). 17.79/17.99 tff(f1016,plain,( 17.79/17.99 $less(sK0,0) | lt_nat1(1,sK0) | ~spl27_38), 17.79/17.99 inference(resolution,[],[f820,f555])). 17.79/17.99 tff(f1019,plain,( 17.79/17.99 ( ! [X4:$int,X5:array_int] : (~$less(X4,1) | $less(tb2t1(get(int,int,elts(int,t2tb2(X5)),t2tb1(X4))),tb2t1(get(int,int,elts(int,t2tb2(X5)),t2tb1(1)))) | $less(X4,0) | ~first_primes1(X5,sK0)) ) | ~spl27_38), 17.79/17.99 inference(resolution,[],[f820,f649])). 17.79/17.99 tff(f1021,plain,( 17.79/17.99 div2(1,sK0) = 0 | ~spl27_38), 17.79/17.99 inference(evaluation,[],[f1015])). 17.79/17.99 tff(f1022,plain,( 17.79/17.99 mod2(1,sK0) = 1 | ~spl27_38), 17.79/17.99 inference(evaluation,[],[f1014])). 17.79/17.99 tff(f1026,plain,( 17.79/17.99 mod2(1,3) = 1 | (~spl27_38 | ~spl27_102)), 17.79/17.99 inference(forward_demodulation,[],[f1022,f1006])). 17.79/17.99 tff(f1028,plain,( 17.79/17.99 spl27_106 <=> mod2(1,3) = 1), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_106])])). 17.79/17.99 tff(f1030,plain,( 17.79/17.99 spl27_106 | ~spl27_38 | ~spl27_102), 17.79/17.99 inference(avatar_split_clause,[],[f1026,f1005,f819,f1028])). 17.79/17.99 tff(f1031,plain,( 17.79/17.99 div2(1,3) = 0 | (~spl27_38 | ~spl27_102)), 17.79/17.99 inference(forward_demodulation,[],[f1021,f1006])). 17.79/17.99 tff(f1033,plain,( 17.79/17.99 spl27_108 <=> div2(1,3) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_108])])). 17.79/17.99 tff(f1035,plain,( 17.79/17.99 spl27_108 | ~spl27_38 | ~spl27_102), 17.79/17.99 inference(avatar_split_clause,[],[f1031,f1005,f819,f1033])). 17.79/17.99 tff(f1036,plain,( 17.79/17.99 $less(3,0) | lt_nat1(1,sK0) | (~spl27_38 | ~spl27_102)), 17.79/17.99 inference(forward_demodulation,[],[f1016,f1006])). 17.79/17.99 tff(f1037,plain,( 17.79/17.99 lt_nat1(1,sK0) | (~spl27_38 | ~spl27_102)), 17.79/17.99 inference(evaluation,[],[f1036])). 17.79/17.99 tff(f1038,plain,( 17.79/17.99 lt_nat1(1,3) | (~spl27_38 | ~spl27_102)), 17.79/17.99 inference(forward_demodulation,[],[f1037,f1006])). 17.79/17.99 tff(f1040,plain,( 17.79/17.99 spl27_110 <=> lt_nat1(1,3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_110])])). 17.79/17.99 tff(f1042,plain,( 17.79/17.99 spl27_110 | ~spl27_38 | ~spl27_102), 17.79/17.99 inference(avatar_split_clause,[],[f1038,f1005,f819,f1040])). 17.79/17.99 tff(f1046,plain,( 17.79/17.99 spl27_112 <=> lt_nat1(1,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_112])])). 17.79/17.99 tff(f1048,plain,( 17.79/17.99 spl27_112 | spl27_4 | ~spl27_38), 17.79/17.99 inference(avatar_split_clause,[],[f1016,f819,f901,f1046])). 17.79/17.99 tff(f1050,plain,( 17.79/17.99 spl27_114 <=> div2(1,sK0) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_114])])). 17.79/17.99 tff(f1051,plain,( 17.79/17.99 div2(1,sK0) = 0 | ~spl27_114), 17.79/17.99 inference(avatar_component_clause,[],[f1050])). 17.79/17.99 tff(f1052,plain,( 17.79/17.99 spl27_114 | ~spl27_38), 17.79/17.99 inference(avatar_split_clause,[],[f1021,f819,f1050])). 17.79/17.99 tff(f1054,plain,( 17.79/17.99 spl27_116 <=> mod2(1,sK0) = 1), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_116])])). 17.79/17.99 tff(f1055,plain,( 17.79/17.99 mod2(1,sK0) = 1 | ~spl27_116), 17.79/17.99 inference(avatar_component_clause,[],[f1054])). 17.79/17.99 tff(f1056,plain,( 17.79/17.99 spl27_116 | ~spl27_38), 17.79/17.99 inference(avatar_split_clause,[],[f1022,f819,f1054])). 17.79/17.99 tff(f1057,plain,( 17.79/17.99 ( ! [X0:$int,X1:$int] : ($less(X1,0) | $less(X0,0) | div2($sum($product(sK0,X0),X1),sK0) = $sum(X0,div2(X1,sK0))) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f630])). 17.79/17.99 tff(f1058,plain,( 17.79/17.99 ( ! [X2:$int,X3:$int] : ($less(X3,0) | $less(X2,0) | mod2(X2,sK0) = mod2($sum($product(sK0,X3),X2),sK0)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f629])). 17.79/17.99 tff(f1059,plain,( 17.79/17.99 ( ! [X4:$int,X5:$int] : ($sum(X4,$quotient_e(X5,sK0)) = $quotient_e($sum($product(sK0,X4),X5),sK0)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f615])). 17.79/17.99 tff(f1060,plain,( 17.79/17.99 ( ! [X6:$int,X7:$int] : ($remainder_e(X6,sK0) = $remainder_e($sum($product(sK0,X7),X6),sK0)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f614])). 17.79/17.99 tff(f1061,plain,( 17.79/17.99 $abs(sK0) = sK0 | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f139])). 17.79/17.99 tff(f1062,plain,( 17.79/17.99 ( ! [X8:$int] : (~$less(X8,0) | $less(X8,sK0)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f128])). 17.79/17.99 tff(f1063,plain,( 17.79/17.99 $less(0,0) | mod2(0,sK0) = 0 | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f551])). 17.79/17.99 tff(f1064,plain,( 17.79/17.99 $less(0,0) | div2(0,sK0) = 0 | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f552])). 17.79/17.99 tff(f1065,plain,( 17.79/17.99 $less(sK0,0) | lt_nat1(0,sK0) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f555])). 17.79/17.99 tff(f1066,plain,( 17.79/17.99 ( ! [X9:$int] : (~prime1(0) | ~$less(X9,0) | ~no_prime_in1(X9,sK0)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f829,f556])). 17.79/17.99 tff(f1070,plain,( 17.79/17.99 div2(0,sK0) = 0 | ~spl27_42), 17.79/17.99 inference(evaluation,[],[f1064])). 17.79/17.99 tff(f1071,plain,( 17.79/17.99 mod2(0,sK0) = 0 | ~spl27_42), 17.79/17.99 inference(evaluation,[],[f1063])). 17.79/17.99 tff(f1073,plain,( 17.79/17.99 spl27_118 <=> $abs(sK0) = sK0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_118])])). 17.79/17.99 tff(f1074,plain,( 17.79/17.99 $abs(sK0) = sK0 | ~spl27_118), 17.79/17.99 inference(avatar_component_clause,[],[f1073])). 17.79/17.99 tff(f1075,plain,( 17.79/17.99 spl27_118 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f1061,f828,f1073])). 17.79/17.99 tff(f1077,plain,( 17.79/17.99 spl27_120 <=> mod2(0,sK0) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_120])])). 17.79/17.99 tff(f1079,plain,( 17.79/17.99 spl27_120 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f1071,f828,f1077])). 17.79/17.99 tff(f1081,plain,( 17.79/17.99 spl27_122 <=> div2(0,sK0) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_122])])). 17.79/17.99 tff(f1083,plain,( 17.79/17.99 spl27_122 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f1070,f828,f1081])). 17.79/17.99 tff(f1085,plain,( 17.79/17.99 spl27_124 <=> lt_nat1(0,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_124])])). 17.79/17.99 tff(f1087,plain,( 17.79/17.99 spl27_124 | spl27_4 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f1065,f828,f901,f1085])). 17.79/17.99 tff(f1089,plain,( 17.79/17.99 spl27_126 <=> ! [X9 : $int] : (~$less(X9,0) | ~no_prime_in1(X9,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_126])])). 17.79/17.99 tff(f1092,plain,( 17.79/17.99 spl27_129 <=> ~prime1(0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_129])])). 17.79/17.99 tff(f1094,plain,( 17.79/17.99 spl27_126 | ~spl27_129 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f1066,f828,f1092,f1089])). 17.79/17.99 tff(f1098,plain,( 17.79/17.99 $less(2,sK0) | 2 = sK0 | ~spl27_45), 17.79/17.99 inference(resolution,[],[f835,f129])). 17.79/17.99 tff(f1099,plain,( 17.79/17.99 $less(2,sK0) | 2 = sK0 | ~spl27_45), 17.79/17.99 inference(resolution,[],[f835,f129])). 17.79/17.99 tff(f1101,plain,( 17.79/17.99 spl27_130 <=> 2 = sK0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_130])])). 17.79/17.99 tff(f1104,plain,( 17.79/17.99 spl27_132 <=> $less(2,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_132])])). 17.79/17.99 tff(f1105,plain,( 17.79/17.99 $less(2,sK0) | ~spl27_132), 17.79/17.99 inference(avatar_component_clause,[],[f1104])). 17.79/17.99 tff(f1106,plain,( 17.79/17.99 spl27_130 | spl27_132 | spl27_45), 17.79/17.99 inference(avatar_split_clause,[],[f1098,f834,f1104,f1101])). 17.79/17.99 tff(f1107,plain,( 17.79/17.99 spl27_130 | spl27_132 | spl27_45), 17.79/17.99 inference(avatar_split_clause,[],[f1099,f834,f1104,f1101])). 17.79/17.99 tff(f1109,plain,( 17.79/17.99 $sum(2,sK6) = sK8 | ~spl27_2), 17.79/17.99 inference(superposition,[],[f732,f122])). 17.79/17.99 tff(f1110,plain,( 17.79/17.99 $sum(2,sK6) = sK8 | ~spl27_2), 17.79/17.99 inference(superposition,[],[f732,f122])). 17.79/17.99 tff(f1111,plain,( 17.79/17.99 odd1(sK8) | ~odd1(sK6) | ~spl27_2), 17.79/17.99 inference(superposition,[],[f491,f732])). 17.79/17.99 tff(f1113,plain,( 17.79/17.99 ( ! [X0:$int] : (~divides1(X0,sK6) | ~divides1(X0,2) | divides1(X0,sK8)) ) | ~spl27_2), 17.79/17.99 inference(superposition,[],[f625,f732])). 17.79/17.99 tff(f1114,plain,( 17.79/17.99 $sum(2,sK6) = sK8 | ~spl27_2), 17.79/17.99 inference(superposition,[],[f122,f732])). 17.79/17.99 tff(f1115,plain,( 17.79/17.99 $sum(2,sK6) = sK8 | ~spl27_2), 17.79/17.99 inference(superposition,[],[f122,f732])). 17.79/17.99 tff(f1116,plain,( 17.79/17.99 ( ! [X1:$int] : ($sum(sK8,X1) = $sum(sK6,$sum(2,X1))) ) | ~spl27_2), 17.79/17.99 inference(superposition,[],[f123,f732])). 17.79/17.99 tff(f1117,plain,( 17.79/17.99 ( ! [X2:$int] : ($less($sum(X2,2),sK8) | ~$less(X2,sK6)) ) | ~spl27_2), 17.79/17.99 inference(superposition,[],[f130,f732])). 17.79/17.99 tff(f1118,plain,( 17.79/17.99 ( ! [X3:$int] : ($less(sK8,$sum(X3,2)) | ~$less(sK6,X3)) ) | ~spl27_2), 17.79/17.99 inference(superposition,[],[f130,f732])). 17.79/17.99 tff(f1120,plain,( 17.79/17.99 spl27_134 <=> $sum(2,sK6) = sK8), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_134])])). 17.79/17.99 tff(f1121,plain,( 17.79/17.99 $sum(2,sK6) = sK8 | ~spl27_134), 17.79/17.99 inference(avatar_component_clause,[],[f1120])). 17.79/17.99 tff(f1122,plain,( 17.79/17.99 spl27_134 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1109,f731,f1120])). 17.79/17.99 tff(f1123,plain,( 17.79/17.99 spl27_134 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1110,f731,f1120])). 17.79/17.99 tff(f1125,plain,( 17.79/17.99 spl27_47 <=> ~odd1(sK6)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_47])])). 17.79/17.99 tff(f1128,plain,( 17.79/17.99 spl27_136 <=> odd1(sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_136])])). 17.79/17.99 tff(f1129,plain,( 17.79/17.99 odd1(sK8) | ~spl27_136), 17.79/17.99 inference(avatar_component_clause,[],[f1128])). 17.79/17.99 tff(f1130,plain,( 17.79/17.99 ~spl27_47 | spl27_136 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1111,f731,f1128,f1125])). 17.79/17.99 tff(f1131,plain,( 17.79/17.99 spl27_134 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1114,f731,f1120])). 17.79/17.99 tff(f1132,plain,( 17.79/17.99 spl27_134 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1115,f731,f1120])). 17.79/17.99 tff(f1133,plain,( 17.79/17.99 $less(sK5,$sum(-1,sK0)) | $sum(-1,sK0) = sK5 | ~spl27_33), 17.79/17.99 inference(resolution,[],[f807,f129])). 17.79/17.99 tff(f1134,plain,( 17.79/17.99 $less(sK5,$sum(-1,sK0)) | $sum(-1,sK0) = sK5 | ~spl27_33), 17.79/17.99 inference(resolution,[],[f807,f129])). 17.79/17.99 tff(f1136,plain,( 17.79/17.99 spl27_138 <=> $sum(-1,sK0) = sK5), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_138])])). 17.79/17.99 tff(f1137,plain,( 17.79/17.99 $sum(-1,sK0) = sK5 | ~spl27_138), 17.79/17.99 inference(avatar_component_clause,[],[f1136])). 17.79/17.99 tff(f1139,plain,( 17.79/17.99 spl27_140 <=> $less(sK5,$sum(-1,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_140])])). 17.79/17.99 tff(f1141,plain,( 17.79/17.99 spl27_138 | spl27_140 | spl27_33), 17.79/17.99 inference(avatar_split_clause,[],[f1133,f806,f1139,f1136])). 17.79/17.99 tff(f1142,plain,( 17.79/17.99 spl27_138 | spl27_140 | spl27_33), 17.79/17.99 inference(avatar_split_clause,[],[f1134,f806,f1139,f1136])). 17.79/17.99 tff(f1143,plain,( 17.79/17.99 $sum($product(2,sK12(sK8)),1) = sK8 | ~spl27_136), 17.79/17.99 inference(resolution,[],[f1129,f510])). 17.79/17.99 tff(f1144,plain,( 17.79/17.99 ~even1(sK8) | ~spl27_136), 17.79/17.99 inference(resolution,[],[f1129,f489])). 17.79/17.99 tff(f1145,plain,( 17.79/17.99 ~even1(sK8) | ~spl27_136), 17.79/17.99 inference(resolution,[],[f1129,f482])). 17.79/17.99 tff(f1147,plain,( 17.79/17.99 spl27_142 <=> $sum($product(2,sK12(sK8)),1) = sK8), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_142])])). 17.79/17.99 tff(f1148,plain,( 17.79/17.99 $sum($product(2,sK12(sK8)),1) = sK8 | ~spl27_142), 17.79/17.99 inference(avatar_component_clause,[],[f1147])). 17.79/17.99 tff(f1149,plain,( 17.79/17.99 spl27_142 | ~spl27_136), 17.79/17.99 inference(avatar_split_clause,[],[f1143,f1128,f1147])). 17.79/17.99 tff(f1151,plain,( 17.79/17.99 spl27_145 <=> ~even1(sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_145])])). 17.79/17.99 tff(f1153,plain,( 17.79/17.99 ~spl27_145 | ~spl27_136), 17.79/17.99 inference(avatar_split_clause,[],[f1144,f1128,f1151])). 17.79/17.99 tff(f1154,plain,( 17.79/17.99 ~spl27_145 | ~spl27_136), 17.79/17.99 inference(avatar_split_clause,[],[f1145,f1128,f1151])). 17.79/17.99 tff(f1155,plain,( 17.79/17.99 tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb3(sK4))))),t2tb1(0))) = 2 | ~spl27_28), 17.79/17.99 inference(resolution,[],[f790,f646])). 17.79/17.99 tff(f1156,plain,( 17.79/17.99 ( ! [X0:$int] : (~prime1(X0) | $less(X0,2) | $less(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb3(sK4))))),t2tb1($sum(sK5,-1)))),X0) | tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb3(sK4))))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X0)))) = X0 | $less(sK5,1)) ) | ~spl27_28), 17.79/17.99 inference(resolution,[],[f790,f698])). 17.79/17.99 tff(f1157,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(X1) | $less(X1,2) | $less(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb3(sK4))))),t2tb1($sum(sK5,-1)))),X1) | $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X1),sK5) | $less(sK5,1)) ) | ~spl27_28), 17.79/17.99 inference(resolution,[],[f790,f697])). 17.79/17.99 tff(f1158,plain,( 17.79/17.99 tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(0))) = 2 | ~spl27_28), 17.79/17.99 inference(forward_demodulation,[],[f1155,f470])). 17.79/17.99 tff(f1160,plain,( 17.79/17.99 spl27_146 <=> tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(0))) = 2), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_146])])). 17.79/17.99 tff(f1161,plain,( 17.79/17.99 tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(0))) = 2 | ~spl27_146), 17.79/17.99 inference(avatar_component_clause,[],[f1160])). 17.79/17.99 tff(f1162,plain,( 17.79/17.99 spl27_146 | ~spl27_28), 17.79/17.99 inference(avatar_split_clause,[],[f1158,f789,f1160])). 17.79/17.99 tff(f1163,plain,( 17.79/17.99 ( ! [X0:$int] : ($less(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb3(sK4))))),t2tb1($sum(-1,sK5)))),X0) | ~prime1(X0) | $less(X0,2) | tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb3(sK4))))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X0)))) = X0 | $less(sK5,1)) ) | ~spl27_28), 17.79/17.99 inference(forward_demodulation,[],[f1156,f122])). 17.79/17.99 tff(f1164,plain,( 17.79/17.99 ( ! [X0:$int] : ($less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),X0) | ~prime1(X0) | $less(X0,2) | tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb3(sK4))))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X0)))) = X0 | $less(sK5,1)) ) | ~spl27_28), 17.79/17.99 inference(forward_demodulation,[],[f1163,f470])). 17.79/17.99 tff(f1165,plain,( 17.79/17.99 ( ! [X0:$int] : (tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X0)))) = X0 | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),X0) | ~prime1(X0) | $less(X0,2) | $less(sK5,1)) ) | ~spl27_28), 17.79/17.99 inference(forward_demodulation,[],[f1164,f470])). 17.79/17.99 tff(f1167,plain,( 17.79/17.99 spl27_148 <=> $less(sK5,1)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_148])])). 17.79/17.99 tff(f1170,plain,( 17.79/17.99 spl27_150 <=> ! [X0 : $int] : (tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X0)))) = X0 | $less(X0,2) | ~prime1(X0) | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),X0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_150])])). 17.79/17.99 tff(f1171,plain,( 17.79/17.99 ( ! [X0:$int] : (~prime1(X0) | $less(X0,2) | tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X0)))) = X0 | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),X0)) ) | ~spl27_150), 17.79/17.99 inference(avatar_component_clause,[],[f1170])). 17.79/17.99 tff(f1172,plain,( 17.79/17.99 spl27_148 | spl27_150 | ~spl27_28), 17.79/17.99 inference(avatar_split_clause,[],[f1165,f789,f1170,f1167])). 17.79/17.99 tff(f1173,plain,( 17.79/17.99 ( ! [X1:$int] : ($less(tb2t1(get(int,int,elts(int,t2tb2(tb2t2(mk_array1(int,sK0,t2tb3(sK4))))),t2tb1($sum(-1,sK5)))),X1) | ~prime1(X1) | $less(X1,2) | $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X1),sK5) | $less(sK5,1)) ) | ~spl27_28), 17.79/17.99 inference(forward_demodulation,[],[f1157,f122])). 17.79/17.99 tff(f1174,plain,( 17.79/17.99 ( ! [X1:$int] : ($less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),X1) | ~prime1(X1) | $less(X1,2) | $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X1),sK5) | $less(sK5,1)) ) | ~spl27_28), 17.79/17.99 inference(forward_demodulation,[],[f1173,f470])). 17.79/17.99 tff(f1176,plain,( 17.79/17.99 spl27_152 <=> ! [X1 : $int] : ($less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),X1) | $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X1),sK5) | $less(X1,2) | ~prime1(X1))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_152])])). 17.79/17.99 tff(f1177,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(X1) | $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,X1),sK5) | $less(X1,2) | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),X1)) ) | ~spl27_152), 17.79/17.99 inference(avatar_component_clause,[],[f1176])). 17.79/17.99 tff(f1178,plain,( 17.79/17.99 spl27_148 | spl27_152 | ~spl27_28), 17.79/17.99 inference(avatar_split_clause,[],[f1174,f789,f1176,f1167])). 17.79/17.99 tff(f1179,plain,( 17.79/17.99 set(int,int,t2tb3(sK4),t2tb1(sK5),t2tb1(sK6)) = t2tb3(sK7) | ~spl27_6), 17.79/17.99 inference(superposition,[],[f468,f740])). 17.79/17.99 tff(f1181,plain,( 17.79/17.99 spl27_154 <=> set(int,int,t2tb3(sK4),t2tb1(sK5),t2tb1(sK6)) = t2tb3(sK7)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_154])])). 17.79/17.99 tff(f1183,plain,( 17.79/17.99 spl27_154 | ~spl27_6), 17.79/17.99 inference(avatar_split_clause,[],[f1179,f739,f1181])). 17.79/17.99 tff(f1188,plain,( 17.79/17.99 $abs(sK5) = sK5 | ~spl27_78), 17.79/17.99 inference(resolution,[],[f927,f139])). 17.79/17.99 tff(f1189,plain,( 17.79/17.99 ( ! [X8:$int] : (~$less(X8,0) | $less(X8,sK5)) ) | ~spl27_78), 17.79/17.99 inference(resolution,[],[f927,f128])). 17.79/17.99 tff(f1190,plain,( 17.79/17.99 $less(0,0) | mod2(0,sK5) = 0 | ~spl27_78), 17.79/17.99 inference(resolution,[],[f927,f551])). 17.79/17.99 tff(f1191,plain,( 17.79/17.99 $less(0,0) | div2(0,sK5) = 0 | ~spl27_78), 17.79/17.99 inference(resolution,[],[f927,f552])). 17.79/17.99 tff(f1192,plain,( 17.79/17.99 $less(sK5,0) | lt_nat1(0,sK5) | ~spl27_78), 17.79/17.99 inference(resolution,[],[f927,f555])). 17.79/17.99 tff(f1197,plain,( 17.79/17.99 div2(0,sK5) = 0 | ~spl27_78), 17.79/17.99 inference(evaluation,[],[f1191])). 17.79/17.99 tff(f1198,plain,( 17.79/17.99 mod2(0,sK5) = 0 | ~spl27_78), 17.79/17.99 inference(evaluation,[],[f1190])). 17.79/17.99 tff(f1200,plain,( 17.79/17.99 spl27_156 <=> $abs(sK5) = sK5), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_156])])). 17.79/17.99 tff(f1201,plain,( 17.79/17.99 $abs(sK5) = sK5 | ~spl27_156), 17.79/17.99 inference(avatar_component_clause,[],[f1200])). 17.79/17.99 tff(f1202,plain,( 17.79/17.99 spl27_156 | ~spl27_78), 17.79/17.99 inference(avatar_split_clause,[],[f1188,f926,f1200])). 17.79/17.99 tff(f1204,plain,( 17.79/17.99 spl27_158 <=> mod2(0,sK5) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_158])])). 17.79/17.99 tff(f1206,plain,( 17.79/17.99 spl27_158 | ~spl27_78), 17.79/17.99 inference(avatar_split_clause,[],[f1198,f926,f1204])). 17.79/17.99 tff(f1208,plain,( 17.79/17.99 spl27_160 <=> div2(0,sK5) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_160])])). 17.79/17.99 tff(f1210,plain,( 17.79/17.99 spl27_160 | ~spl27_78), 17.79/17.99 inference(avatar_split_clause,[],[f1197,f926,f1208])). 17.79/17.99 tff(f1212,plain,( 17.79/17.99 spl27_162 <=> lt_nat1(0,sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_162])])). 17.79/17.99 tff(f1214,plain,( 17.79/17.99 spl27_162 | spl27_10 | ~spl27_78), 17.79/17.99 inference(avatar_split_clause,[],[f1192,f926,f890,f1212])). 17.79/17.99 tff(f1217,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | mod2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6) = tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))) | ~spl27_16), 17.79/17.99 inference(resolution,[],[f762,f551])). 17.79/17.99 tff(f1218,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | div2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6) = 0 | ~spl27_16), 17.79/17.99 inference(resolution,[],[f762,f552])). 17.79/17.99 tff(f1219,plain,( 17.79/17.99 $less(sK6,0) | lt_nat1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6) | ~spl27_16), 17.79/17.99 inference(resolution,[],[f762,f555])). 17.79/17.99 tff(f1220,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~$less(X1,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~no_prime_in1(X1,sK6)) ) | ~spl27_16), 17.79/17.99 inference(resolution,[],[f762,f556])). 17.79/17.99 tff(f1221,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))))) | $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | ~first_primes1(X2,sK6)) ) | ~spl27_16), 17.79/17.99 inference(resolution,[],[f762,f648])). 17.79/17.99 tff(f1224,plain,( 17.79/17.99 spl27_164 <=> mod2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6) = tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_164])])). 17.79/17.99 tff(f1225,plain,( 17.79/17.99 mod2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6) = tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))) | ~spl27_164), 17.79/17.99 inference(avatar_component_clause,[],[f1224])). 17.79/17.99 tff(f1227,plain,( 17.79/17.99 spl27_166 <=> $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_166])])). 17.79/17.99 tff(f1229,plain,( 17.79/17.99 spl27_164 | spl27_166 | ~spl27_16), 17.79/17.99 inference(avatar_split_clause,[],[f1217,f761,f1227,f1224])). 17.79/17.99 tff(f1231,plain,( 17.79/17.99 spl27_168 <=> div2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_168])])). 17.79/17.99 tff(f1232,plain,( 17.79/17.99 div2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6) = 0 | ~spl27_168), 17.79/17.99 inference(avatar_component_clause,[],[f1231])). 17.79/17.99 tff(f1233,plain,( 17.79/17.99 spl27_168 | spl27_166 | ~spl27_16), 17.79/17.99 inference(avatar_split_clause,[],[f1218,f761,f1227,f1231])). 17.79/17.99 tff(f1235,plain,( 17.79/17.99 spl27_170 <=> lt_nat1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK6)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_170])])). 17.79/17.99 tff(f1238,plain,( 17.79/17.99 spl27_172 <=> $less(sK6,0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_172])])). 17.79/17.99 tff(f1240,plain,( 17.79/17.99 spl27_170 | spl27_172 | ~spl27_16), 17.79/17.99 inference(avatar_split_clause,[],[f1219,f761,f1238,f1235])). 17.79/17.99 tff(f1242,plain,( 17.79/17.99 spl27_174 <=> ! [X1 : $int] : (~$less(X1,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~no_prime_in1(X1,sK6))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_174])])). 17.79/17.99 tff(f1245,plain,( 17.79/17.99 spl27_177 <=> ~prime1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_177])])). 17.79/17.99 tff(f1246,plain,( 17.79/17.99 ~prime1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~spl27_177), 17.79/17.99 inference(avatar_component_clause,[],[f1245])). 17.79/17.99 tff(f1247,plain,( 17.79/17.99 spl27_174 | ~spl27_177 | ~spl27_16), 17.79/17.99 inference(avatar_split_clause,[],[f1220,f761,f1245,f1242])). 17.79/17.99 tff(f1248,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | ~first_primes1(X2,sK6)) ) | ~spl27_16), 17.79/17.99 inference(forward_demodulation,[],[f1221,f466])). 17.79/17.99 tff(f1250,plain,( 17.79/17.99 spl27_178 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~first_primes1(X2,sK6))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_178])])). 17.79/17.99 tff(f1252,plain,( 17.79/17.99 spl27_166 | spl27_178 | ~spl27_16), 17.79/17.99 inference(avatar_split_clause,[],[f1248,f761,f1250,f1227])). 17.79/17.99 tff(f1255,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | mod2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3) = tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))) | ~spl27_20), 17.79/17.99 inference(resolution,[],[f772,f551])). 17.79/17.99 tff(f1256,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | div2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3) = 0 | ~spl27_20), 17.79/17.99 inference(resolution,[],[f772,f552])). 17.79/17.99 tff(f1257,plain,( 17.79/17.99 $less(sK3,0) | lt_nat1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3) | ~spl27_20), 17.79/17.99 inference(resolution,[],[f772,f555])). 17.79/17.99 tff(f1259,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))))) | $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | ~first_primes1(X2,sK3)) ) | ~spl27_20), 17.79/17.99 inference(resolution,[],[f772,f648])). 17.79/17.99 tff(f1262,plain,( 17.79/17.99 spl27_180 <=> mod2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3) = tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_180])])). 17.79/17.99 tff(f1263,plain,( 17.79/17.99 mod2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3) = tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))) | ~spl27_180), 17.79/17.99 inference(avatar_component_clause,[],[f1262])). 17.79/17.99 tff(f1264,plain,( 17.79/17.99 spl27_180 | spl27_166 | ~spl27_20), 17.79/17.99 inference(avatar_split_clause,[],[f1255,f771,f1227,f1262])). 17.79/17.99 tff(f1266,plain,( 17.79/17.99 spl27_182 <=> div2(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_182])])). 17.79/17.99 tff(f1268,plain,( 17.79/17.99 spl27_182 | spl27_166 | ~spl27_20), 17.79/17.99 inference(avatar_split_clause,[],[f1256,f771,f1227,f1266])). 17.79/17.99 tff(f1270,plain,( 17.79/17.99 spl27_184 <=> lt_nat1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_184])])). 17.79/17.99 tff(f1273,plain,( 17.79/17.99 spl27_186 <=> $less(sK3,0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_186])])). 17.79/17.99 tff(f1275,plain,( 17.79/17.99 spl27_184 | spl27_186 | ~spl27_20), 17.79/17.99 inference(avatar_split_clause,[],[f1257,f771,f1273,f1270])). 17.79/17.99 tff(f1276,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | ~first_primes1(X2,sK3)) ) | ~spl27_20), 17.79/17.99 inference(forward_demodulation,[],[f1259,f466])). 17.79/17.99 tff(f1278,plain,( 17.79/17.99 spl27_188 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~first_primes1(X2,sK3))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_188])])). 17.79/17.99 tff(f1280,plain,( 17.79/17.99 spl27_166 | spl27_188 | ~spl27_20), 17.79/17.99 inference(avatar_split_clause,[],[f1276,f771,f1278,f1227])). 17.79/17.99 tff(f1282,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less(X0,2) | $less(X0,sK5)) ) | ~spl27_88), 17.79/17.99 inference(resolution,[],[f960,f128])). 17.79/17.99 tff(f1283,plain,( 17.79/17.99 $less(2,0) | mod2(2,sK5) = 2 | ~spl27_88), 17.79/17.99 inference(resolution,[],[f960,f551])). 17.79/17.99 tff(f1284,plain,( 17.79/17.99 $less(2,0) | div2(2,sK5) = 0 | ~spl27_88), 17.79/17.99 inference(resolution,[],[f960,f552])). 17.79/17.99 tff(f1285,plain,( 17.79/17.99 $less(sK5,0) | lt_nat1(2,sK5) | ~spl27_88), 17.79/17.99 inference(resolution,[],[f960,f555])). 17.79/17.99 tff(f1286,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(2) | ~$less(X1,2) | ~no_prime_in1(X1,sK5)) ) | ~spl27_88), 17.79/17.99 inference(resolution,[],[f960,f556])). 17.79/17.99 tff(f1290,plain,( 17.79/17.99 div2(2,sK5) = 0 | ~spl27_88), 17.79/17.99 inference(evaluation,[],[f1284])). 17.79/17.99 tff(f1291,plain,( 17.79/17.99 mod2(2,sK5) = 2 | ~spl27_88), 17.79/17.99 inference(evaluation,[],[f1283])). 17.79/17.99 tff(f1293,plain,( 17.79/17.99 spl27_190 <=> mod2(2,sK5) = 2), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_190])])). 17.79/17.99 tff(f1295,plain,( 17.79/17.99 spl27_190 | ~spl27_88), 17.79/17.99 inference(avatar_split_clause,[],[f1291,f959,f1293])). 17.79/17.99 tff(f1297,plain,( 17.79/17.99 spl27_192 <=> div2(2,sK5) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_192])])). 17.79/17.99 tff(f1298,plain,( 17.79/17.99 div2(2,sK5) = 0 | ~spl27_192), 17.79/17.99 inference(avatar_component_clause,[],[f1297])). 17.79/17.99 tff(f1299,plain,( 17.79/17.99 spl27_192 | ~spl27_88), 17.79/17.99 inference(avatar_split_clause,[],[f1290,f959,f1297])). 17.79/17.99 tff(f1301,plain,( 17.79/17.99 spl27_194 <=> lt_nat1(2,sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_194])])). 17.79/17.99 tff(f1303,plain,( 17.79/17.99 spl27_194 | spl27_10 | ~spl27_88), 17.79/17.99 inference(avatar_split_clause,[],[f1285,f959,f890,f1301])). 17.79/17.99 tff(f1305,plain,( 17.79/17.99 spl27_196 <=> ! [X1 : $int] : (~$less(X1,2) | ~no_prime_in1(X1,sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_196])])). 17.79/17.99 tff(f1306,plain,( 17.79/17.99 ( ! [X1:$int] : (~$less(X1,2) | ~no_prime_in1(X1,sK5)) ) | ~spl27_196), 17.79/17.99 inference(avatar_component_clause,[],[f1305])). 17.79/17.99 tff(f1308,plain,( 17.79/17.99 spl27_199 <=> ~prime1(2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_199])])). 17.79/17.99 tff(f1309,plain,( 17.79/17.99 ~prime1(2) | ~spl27_199), 17.79/17.99 inference(avatar_component_clause,[],[f1308])). 17.79/17.99 tff(f1310,plain,( 17.79/17.99 spl27_196 | ~spl27_199 | ~spl27_88), 17.79/17.99 inference(avatar_split_clause,[],[f1286,f959,f1308,f1305])). 17.79/17.99 tff(f1311,plain,( 17.79/17.99 $false | ~spl27_199), 17.79/17.99 inference(subsumption_resolution,[],[f453,f1309])). 17.79/17.99 tff(f1312,plain,( 17.79/17.99 spl27_199), 17.79/17.99 inference(avatar_contradiction_clause,[],[f1311])). 17.79/17.99 tff(f1314,plain,( 17.79/17.99 spl27_198 <=> prime1(2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_198])])). 17.79/17.99 tff(f1315,plain,( 17.79/17.99 prime1(2) | ~spl27_198), 17.79/17.99 inference(avatar_component_clause,[],[f1314])). 17.79/17.99 tff(f1316,plain,( 17.79/17.99 spl27_198), 17.79/17.99 inference(avatar_split_clause,[],[f453,f1314])). 17.79/17.99 tff(f1319,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less(X0,3) | $less(X0,sK0)) ) | ~spl27_104), 17.79/17.99 inference(resolution,[],[f1009,f128])). 17.79/17.99 tff(f1320,plain,( 17.79/17.99 $less(3,0) | mod2(3,sK0) = 3 | ~spl27_104), 17.79/17.99 inference(resolution,[],[f1009,f551])). 17.79/17.99 tff(f1321,plain,( 17.79/17.99 $less(3,0) | div2(3,sK0) = 0 | ~spl27_104), 17.79/17.99 inference(resolution,[],[f1009,f552])). 17.79/17.99 tff(f1322,plain,( 17.79/17.99 $less(sK0,0) | lt_nat1(3,sK0) | ~spl27_104), 17.79/17.99 inference(resolution,[],[f1009,f555])). 17.79/17.99 tff(f1323,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(3) | ~$less(X1,3) | ~no_prime_in1(X1,sK0)) ) | ~spl27_104), 17.79/17.99 inference(resolution,[],[f1009,f556])). 17.79/17.99 tff(f1327,plain,( 17.79/17.99 div2(3,sK0) = 0 | ~spl27_104), 17.79/17.99 inference(evaluation,[],[f1321])). 17.79/17.99 tff(f1328,plain,( 17.79/17.99 mod2(3,sK0) = 3 | ~spl27_104), 17.79/17.99 inference(evaluation,[],[f1320])). 17.79/17.99 tff(f1330,plain,( 17.79/17.99 spl27_200 <=> mod2(3,sK0) = 3), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_200])])). 17.79/17.99 tff(f1331,plain,( 17.79/17.99 mod2(3,sK0) = 3 | ~spl27_200), 17.79/17.99 inference(avatar_component_clause,[],[f1330])). 17.79/17.99 tff(f1332,plain,( 17.79/17.99 spl27_200 | ~spl27_104), 17.79/17.99 inference(avatar_split_clause,[],[f1328,f1008,f1330])). 17.79/17.99 tff(f1334,plain,( 17.79/17.99 spl27_202 <=> div2(3,sK0) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_202])])). 17.79/17.99 tff(f1335,plain,( 17.79/17.99 div2(3,sK0) = 0 | ~spl27_202), 17.79/17.99 inference(avatar_component_clause,[],[f1334])). 17.79/17.99 tff(f1336,plain,( 17.79/17.99 spl27_202 | ~spl27_104), 17.79/17.99 inference(avatar_split_clause,[],[f1327,f1008,f1334])). 17.79/17.99 tff(f1338,plain,( 17.79/17.99 spl27_204 <=> lt_nat1(3,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_204])])). 17.79/17.99 tff(f1340,plain,( 17.79/17.99 spl27_204 | spl27_4 | ~spl27_104), 17.79/17.99 inference(avatar_split_clause,[],[f1322,f1008,f901,f1338])). 17.79/17.99 tff(f1342,plain,( 17.79/17.99 spl27_206 <=> ! [X1 : $int] : (~$less(X1,3) | ~no_prime_in1(X1,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_206])])). 17.79/17.99 tff(f1343,plain,( 17.79/17.99 ( ! [X1:$int] : (~$less(X1,3) | ~no_prime_in1(X1,sK0)) ) | ~spl27_206), 17.79/17.99 inference(avatar_component_clause,[],[f1342])). 17.79/17.99 tff(f1345,plain,( 17.79/17.99 spl27_209 <=> ~prime1(3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_209])])). 17.79/17.99 tff(f1346,plain,( 17.79/17.99 ~prime1(3) | ~spl27_209), 17.79/17.99 inference(avatar_component_clause,[],[f1345])). 17.79/17.99 tff(f1347,plain,( 17.79/17.99 spl27_206 | ~spl27_209 | ~spl27_104), 17.79/17.99 inference(avatar_split_clause,[],[f1323,f1008,f1345,f1342])). 17.79/17.99 tff(f1348,plain,( 17.79/17.99 $false | ~spl27_209), 17.79/17.99 inference(subsumption_resolution,[],[f454,f1346])). 17.79/17.99 tff(f1349,plain,( 17.79/17.99 spl27_209), 17.79/17.99 inference(avatar_contradiction_clause,[],[f1348])). 17.79/17.99 tff(f1351,plain,( 17.79/17.99 spl27_208 <=> prime1(3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_208])])). 17.79/17.99 tff(f1352,plain,( 17.79/17.99 prime1(3) | ~spl27_208), 17.79/17.99 inference(avatar_component_clause,[],[f1351])). 17.79/17.99 tff(f1353,plain,( 17.79/17.99 spl27_208), 17.79/17.99 inference(avatar_split_clause,[],[f454,f1351])). 17.79/17.99 tff(f1354,plain,( 17.79/17.99 $less(3,3) | odd1(3) | ~spl27_208), 17.79/17.99 inference(resolution,[],[f1352,f487])). 17.79/17.99 tff(f1355,plain,( 17.79/17.99 ~even1(3) | 2 = 3 | ~spl27_208), 17.79/17.99 inference(resolution,[],[f1352,f486])). 17.79/17.99 tff(f1356,plain,( 17.79/17.99 ~even1(3) | ~spl27_208), 17.79/17.99 inference(evaluation,[],[f1355])). 17.79/17.99 tff(f1357,plain,( 17.79/17.99 odd1(3) | ~spl27_208), 17.79/17.99 inference(evaluation,[],[f1354])). 17.79/17.99 tff(f1359,plain,( 17.79/17.99 spl27_210 <=> odd1(3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_210])])). 17.79/17.99 tff(f1360,plain,( 17.79/17.99 odd1(3) | ~spl27_210), 17.79/17.99 inference(avatar_component_clause,[],[f1359])). 17.79/17.99 tff(f1361,plain,( 17.79/17.99 spl27_210 | ~spl27_208), 17.79/17.99 inference(avatar_split_clause,[],[f1357,f1351,f1359])). 17.79/17.99 tff(f1363,plain,( 17.79/17.99 spl27_213 <=> ~even1(3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_213])])). 17.79/17.99 tff(f1365,plain,( 17.79/17.99 ~spl27_213 | ~spl27_208), 17.79/17.99 inference(avatar_split_clause,[],[f1356,f1351,f1363])). 17.79/17.99 tff(f1366,plain,( 17.79/17.99 $sum($product(2,sK12(3)),1) = 3 | ~spl27_210), 17.79/17.99 inference(resolution,[],[f1360,f510])). 17.79/17.99 tff(f1369,plain,( 17.79/17.99 $product(2,sK12(3)) = $sum(3,-1) | ~spl27_210), 17.79/17.99 inference(evaluation,[],[f1366])). 17.79/17.99 tff(f1370,plain,( 17.79/17.99 1 = sK12(3) | ~spl27_210), 17.79/17.99 inference(evaluation,[],[f1369])). 17.79/17.99 tff(f1372,plain,( 17.79/17.99 spl27_214 <=> 1 = sK12(3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_214])])). 17.79/17.99 tff(f1374,plain,( 17.79/17.99 spl27_214 | ~spl27_210), 17.79/17.99 inference(avatar_split_clause,[],[f1370,f1359,f1372])). 17.79/17.99 tff(f1375,plain,( 17.79/17.99 set(int,int,t2tb3(sK1),t2tb1(1),t2tb1(3)) = t2tb3(sK2) | ~spl27_36), 17.79/17.99 inference(superposition,[],[f468,f815])). 17.79/17.99 tff(f1377,plain,( 17.79/17.99 spl27_216 <=> set(int,int,t2tb3(sK1),t2tb1(1),t2tb1(3)) = t2tb3(sK2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_216])])). 17.79/17.99 tff(f1379,plain,( 17.79/17.99 spl27_216 | ~spl27_36), 17.79/17.99 inference(avatar_split_clause,[],[f1375,f814,f1377])). 17.79/17.99 tff(f1380,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) | ~spl27_1), 17.79/17.99 inference(resolution,[],[f728,f557])). 17.79/17.99 tff(f1381,plain,( 17.79/17.99 $less(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8) | ~spl27_1), 17.79/17.99 inference(resolution,[],[f728,f558])). 17.79/17.99 tff(f1383,plain,( 17.79/17.99 spl27_218 <=> $less(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_218])])). 17.79/17.99 tff(f1384,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) | ~spl27_218), 17.79/17.99 inference(avatar_component_clause,[],[f1383])). 17.79/17.99 tff(f1385,plain,( 17.79/17.99 spl27_218 | spl27_1), 17.79/17.99 inference(avatar_split_clause,[],[f1380,f727,f1383])). 17.79/17.99 tff(f1387,plain,( 17.79/17.99 spl27_220 <=> $less(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_220])])). 17.79/17.99 tff(f1388,plain,( 17.79/17.99 $less(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8) | ~spl27_220), 17.79/17.99 inference(avatar_component_clause,[],[f1387])). 17.79/17.99 tff(f1389,plain,( 17.79/17.99 spl27_220 | spl27_1), 17.79/17.99 inference(avatar_split_clause,[],[f1381,f727,f1387])). 17.79/17.99 tff(f1391,plain,( 17.79/17.99 ( ! [X0:$int] : ($less(X0,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~$less(X0,sK3)) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f777,f128])). 17.79/17.99 tff(f1392,plain,( 17.79/17.99 $less(sK3,0) | mod2(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = sK3 | ~spl27_22), 17.79/17.99 inference(resolution,[],[f777,f551])). 17.79/17.99 tff(f1393,plain,( 17.79/17.99 $less(sK3,0) | div2(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = 0 | ~spl27_22), 17.79/17.99 inference(resolution,[],[f777,f552])). 17.79/17.99 tff(f1394,plain,( 17.79/17.99 $less($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),0) | lt_nat1(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f777,f555])). 17.79/17.99 tff(f1395,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(sK3) | ~$less(X1,sK3) | ~no_prime_in1(X1,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f777,f556])). 17.79/17.99 tff(f1396,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK3)))) | $less(sK3,0) | ~first_primes1(X2,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f777,f648])). 17.79/17.99 tff(f1399,plain,( 17.79/17.99 spl27_222 <=> mod2(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = sK3), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_222])])). 17.79/17.99 tff(f1400,plain,( 17.79/17.99 mod2(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = sK3 | ~spl27_222), 17.79/17.99 inference(avatar_component_clause,[],[f1399])). 17.79/17.99 tff(f1401,plain,( 17.79/17.99 spl27_222 | spl27_186 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f1392,f776,f1273,f1399])). 17.79/17.99 tff(f1403,plain,( 17.79/17.99 spl27_224 <=> div2(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_224])])). 17.79/17.99 tff(f1404,plain,( 17.79/17.99 div2(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = 0 | ~spl27_224), 17.79/17.99 inference(avatar_component_clause,[],[f1403])). 17.79/17.99 tff(f1405,plain,( 17.79/17.99 spl27_224 | spl27_186 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f1393,f776,f1273,f1403])). 17.79/17.99 tff(f1407,plain,( 17.79/17.99 spl27_226 <=> lt_nat1(sK3,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_226])])). 17.79/17.99 tff(f1410,plain,( 17.79/17.99 spl27_228 <=> $less($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_228])])). 17.79/17.99 tff(f1412,plain,( 17.79/17.99 spl27_226 | spl27_228 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f1394,f776,f1410,f1407])). 17.79/17.99 tff(f1414,plain,( 17.79/17.99 spl27_230 <=> ! [X1 : $int] : (~$less(X1,sK3) | ~no_prime_in1(X1,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_230])])). 17.79/17.99 tff(f1417,plain,( 17.79/17.99 spl27_233 <=> ~prime1(sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_233])])). 17.79/17.99 tff(f1418,plain,( 17.79/17.99 ~prime1(sK3) | ~spl27_233), 17.79/17.99 inference(avatar_component_clause,[],[f1417])). 17.79/17.99 tff(f1419,plain,( 17.79/17.99 spl27_230 | ~spl27_233 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f1395,f776,f1417,f1414])). 17.79/17.99 tff(f1421,plain,( 17.79/17.99 spl27_234 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK3)))) | ~first_primes1(X2,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_234])])). 17.79/17.99 tff(f1423,plain,( 17.79/17.99 spl27_186 | spl27_234 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f1396,f776,f1421,f1273])). 17.79/17.99 tff(f1424,plain,( 17.79/17.99 $less(sK10(sK3),sK3) | $less(sK3,2) | ~spl27_233), 17.79/17.99 inference(resolution,[],[f1418,f502])). 17.79/17.99 tff(f1425,plain,( 17.79/17.99 $less(1,sK10(sK3)) | $less(sK3,2) | ~spl27_233), 17.79/17.99 inference(resolution,[],[f1418,f503])). 17.79/17.99 tff(f1426,plain,( 17.79/17.99 $less(1,$product(sK9(sK3),sK9(sK3))) | $less(sK3,2) | ~spl27_233), 17.79/17.99 inference(resolution,[],[f1418,f496])). 17.79/17.99 tff(f1428,plain,( 17.79/17.99 spl27_236 <=> $less(sK3,2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_236])])). 17.79/17.99 tff(f1431,plain,( 17.79/17.99 spl27_238 <=> $less(sK10(sK3),sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_238])])). 17.79/17.99 tff(f1433,plain,( 17.79/17.99 spl27_236 | spl27_238 | spl27_233), 17.79/17.99 inference(avatar_split_clause,[],[f1424,f1417,f1431,f1428])). 17.79/17.99 tff(f1435,plain,( 17.79/17.99 spl27_240 <=> $less(1,sK10(sK3))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_240])])). 17.79/17.99 tff(f1437,plain,( 17.79/17.99 spl27_236 | spl27_240 | spl27_233), 17.79/17.99 inference(avatar_split_clause,[],[f1425,f1417,f1435,f1428])). 17.79/17.99 tff(f1439,plain,( 17.79/17.99 spl27_242 <=> $less(1,$product(sK9(sK3),sK9(sK3)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_242])])). 17.79/17.99 tff(f1441,plain,( 17.79/17.99 spl27_236 | spl27_242 | spl27_233), 17.79/17.99 inference(avatar_split_clause,[],[f1426,f1417,f1439,f1428])). 17.79/17.99 tff(f1442,plain,( 17.79/17.99 set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2)) = t2tb3(sK1) | ~spl27_40), 17.79/17.99 inference(superposition,[],[f468,f824])). 17.79/17.99 tff(f1444,plain,( 17.79/17.99 spl27_244 <=> set(int,int,const(int,int,t2tb1(0)),t2tb1(0),t2tb1(2)) = t2tb3(sK1)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_244])])). 17.79/17.99 tff(f1446,plain,( 17.79/17.99 spl27_244 | ~spl27_40), 17.79/17.99 inference(avatar_split_clause,[],[f1442,f823,f1444])). 17.79/17.99 tff(f1449,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less(X0,2) | $less(X0,sK0)) ) | ~spl27_132), 17.79/17.99 inference(resolution,[],[f1105,f128])). 17.79/17.99 tff(f1450,plain,( 17.79/17.99 $less(2,0) | mod2(2,sK0) = 2 | ~spl27_132), 17.79/17.99 inference(resolution,[],[f1105,f551])). 17.79/17.99 tff(f1451,plain,( 17.79/17.99 $less(2,0) | div2(2,sK0) = 0 | ~spl27_132), 17.79/17.99 inference(resolution,[],[f1105,f552])). 17.79/17.99 tff(f1452,plain,( 17.79/17.99 $less(sK0,0) | lt_nat1(2,sK0) | ~spl27_132), 17.79/17.99 inference(resolution,[],[f1105,f555])). 17.79/17.99 tff(f1453,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(2) | ~$less(X1,2) | ~no_prime_in1(X1,sK0)) ) | ~spl27_132), 17.79/17.99 inference(resolution,[],[f1105,f556])). 17.79/17.99 tff(f1457,plain,( 17.79/17.99 div2(2,sK0) = 0 | ~spl27_132), 17.79/17.99 inference(evaluation,[],[f1451])). 17.79/17.99 tff(f1458,plain,( 17.79/17.99 mod2(2,sK0) = 2 | ~spl27_132), 17.79/17.99 inference(evaluation,[],[f1450])). 17.79/17.99 tff(f1460,plain,( 17.79/17.99 spl27_246 <=> mod2(2,sK0) = 2), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_246])])). 17.79/17.99 tff(f1462,plain,( 17.79/17.99 spl27_246 | ~spl27_132), 17.79/17.99 inference(avatar_split_clause,[],[f1458,f1104,f1460])). 17.79/17.99 tff(f1464,plain,( 17.79/17.99 spl27_248 <=> div2(2,sK0) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_248])])). 17.79/17.99 tff(f1466,plain,( 17.79/17.99 spl27_248 | ~spl27_132), 17.79/17.99 inference(avatar_split_clause,[],[f1457,f1104,f1464])). 17.79/17.99 tff(f1468,plain,( 17.79/17.99 spl27_250 <=> lt_nat1(2,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_250])])). 17.79/17.99 tff(f1470,plain,( 17.79/17.99 spl27_250 | spl27_4 | ~spl27_132), 17.79/17.99 inference(avatar_split_clause,[],[f1452,f1104,f901,f1468])). 17.79/17.99 tff(f1472,plain,( 17.79/17.99 spl27_252 <=> ! [X1 : $int] : (~$less(X1,2) | ~no_prime_in1(X1,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_252])])). 17.79/17.99 tff(f1473,plain,( 17.79/17.99 ( ! [X1:$int] : (~$less(X1,2) | ~no_prime_in1(X1,sK0)) ) | ~spl27_252), 17.79/17.99 inference(avatar_component_clause,[],[f1472])). 17.79/17.99 tff(f1474,plain,( 17.79/17.99 spl27_252 | ~spl27_199 | ~spl27_132), 17.79/17.99 inference(avatar_split_clause,[],[f1453,f1104,f1308,f1472])). 17.79/17.99 tff(f1477,plain,( 17.79/17.99 ( ! [X1:$int] : ($less($uminus(sK0),mod2(X1,sK0)) | 0 = sK0) ) | ~spl27_58), 17.79/17.99 inference(superposition,[],[f519,f870])). 17.79/17.99 tff(f1478,plain,( 17.79/17.99 ( ! [X2:$int] : ($less(mod2(X2,sK0),sK0) | 0 = sK0) ) | ~spl27_58), 17.79/17.99 inference(superposition,[],[f520,f870])). 17.79/17.99 tff(f1480,plain,( 17.79/17.99 ( ! [X4:$int] : (~$less(sK0,abs1(X4)) | 0 = sK0 | ~divides1(X4,sK0)) ) | ~spl27_58), 17.79/17.99 inference(superposition,[],[f540,f870])). 17.79/17.99 tff(f1485,plain,( 17.79/17.99 spl27_254 <=> 0 = sK0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_254])])). 17.79/17.99 tff(f1488,plain,( 17.79/17.99 spl27_256 <=> ! [X1 : $int] : $less($uminus(sK0),mod2(X1,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_256])])). 17.79/17.99 tff(f1490,plain,( 17.79/17.99 spl27_254 | spl27_256 | ~spl27_58), 17.79/17.99 inference(avatar_split_clause,[],[f1477,f869,f1488,f1485])). 17.79/17.99 tff(f1492,plain,( 17.79/17.99 spl27_258 <=> ! [X2 : $int] : $less(mod2(X2,sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_258])])). 17.79/17.99 tff(f1493,plain,( 17.79/17.99 ( ! [X2:$int] : ($less(mod2(X2,sK0),sK0)) ) | ~spl27_258), 17.79/17.99 inference(avatar_component_clause,[],[f1492])). 17.79/17.99 tff(f1494,plain,( 17.79/17.99 spl27_254 | spl27_258 | ~spl27_58), 17.79/17.99 inference(avatar_split_clause,[],[f1478,f869,f1492,f1485])). 17.79/17.99 tff(f1496,plain,( 17.79/17.99 spl27_260 <=> ! [X4 : $int] : (~$less(sK0,abs1(X4)) | ~divides1(X4,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_260])])). 17.79/17.99 tff(f1498,plain,( 17.79/17.99 spl27_254 | spl27_260 | ~spl27_58), 17.79/17.99 inference(avatar_split_clause,[],[f1480,f869,f1496,f1485])). 17.79/17.99 tff(f1501,plain,( 17.79/17.99 ( ! [X1:$int] : ($less($uminus(sK5),mod2(X1,sK5)) | 0 = sK5) ) | ~spl27_74), 17.79/17.99 inference(superposition,[],[f519,f920])). 17.79/17.99 tff(f1502,plain,( 17.79/17.99 ( ! [X2:$int] : ($less(mod2(X2,sK5),sK5) | 0 = sK5) ) | ~spl27_74), 17.79/17.99 inference(superposition,[],[f520,f920])). 17.79/17.99 tff(f1504,plain,( 17.79/17.99 ( ! [X4:$int] : (~$less(sK5,abs1(X4)) | 0 = sK5 | ~divides1(X4,sK5)) ) | ~spl27_74), 17.79/17.99 inference(superposition,[],[f540,f920])). 17.79/17.99 tff(f1509,plain,( 17.79/17.99 spl27_262 <=> ! [X1 : $int] : $less($uminus(sK5),mod2(X1,sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_262])])). 17.79/17.99 tff(f1511,plain,( 17.79/17.99 spl27_76 | spl27_262 | ~spl27_74), 17.79/17.99 inference(avatar_split_clause,[],[f1501,f919,f1509,f923])). 17.79/17.99 tff(f1513,plain,( 17.79/17.99 spl27_264 <=> ! [X2 : $int] : $less(mod2(X2,sK5),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_264])])). 17.79/17.99 tff(f1514,plain,( 17.79/17.99 ( ! [X2:$int] : ($less(mod2(X2,sK5),sK5)) ) | ~spl27_264), 17.79/17.99 inference(avatar_component_clause,[],[f1513])). 17.79/17.99 tff(f1515,plain,( 17.79/17.99 spl27_76 | spl27_264 | ~spl27_74), 17.79/17.99 inference(avatar_split_clause,[],[f1502,f919,f1513,f923])). 17.79/17.99 tff(f1517,plain,( 17.79/17.99 spl27_266 <=> ! [X4 : $int] : (~$less(sK5,abs1(X4)) | ~divides1(X4,sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_266])])). 17.79/17.99 tff(f1519,plain,( 17.79/17.99 spl27_76 | spl27_266 | ~spl27_74), 17.79/17.99 inference(avatar_split_clause,[],[f1504,f919,f1517,f923])). 17.79/17.99 tff(f1521,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less($sum(sK0,$uminus(1)),$remainder_e(X0,sK0)) | 0 = sK0) ) | ~spl27_118), 17.79/17.99 inference(superposition,[],[f143,f1074])). 17.79/17.99 tff(f1522,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less($sum(sK0,-1),$remainder_e(X0,sK0)) | 0 = sK0) ) | ~spl27_118), 17.79/17.99 inference(evaluation,[],[f1521])). 17.79/17.99 tff(f1523,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less($sum(-1,sK0),$remainder_e(X0,sK0)) | 0 = sK0) ) | ~spl27_118), 17.79/17.99 inference(forward_demodulation,[],[f1522,f122])). 17.79/17.99 tff(f1524,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less(sK5,$remainder_e(X0,sK0)) | 0 = sK0) ) | (~spl27_118 | ~spl27_138)), 17.79/17.99 inference(forward_demodulation,[],[f1523,f1137])). 17.79/17.99 tff(f1526,plain,( 17.79/17.99 spl27_268 <=> ! [X0 : $int] : ~$less(sK5,$remainder_e(X0,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_268])])). 17.79/17.99 tff(f1528,plain,( 17.79/17.99 spl27_254 | spl27_268 | ~spl27_118 | ~spl27_138), 17.79/17.99 inference(avatar_split_clause,[],[f1524,f1136,f1073,f1526,f1485])). 17.79/17.99 tff(f1532,plain,( 17.79/17.99 0 != sK5 | divides1(sK0,sK5) | 0 = sK0 | ~spl27_62), 17.79/17.99 inference(superposition,[],[f523,f888])). 17.79/17.99 tff(f1533,plain,( 17.79/17.99 $less($uminus(abs1(sK0)),sK5) | 0 = sK0 | ~spl27_62), 17.79/17.99 inference(superposition,[],[f519,f888])). 17.79/17.99 tff(f1537,plain,( 17.79/17.99 spl27_270 <=> divides1(sK0,sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_270])])). 17.79/17.99 tff(f1540,plain,( 17.79/17.99 spl27_77 <=> 0 != sK5), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_77])])). 17.79/17.99 tff(f1542,plain,( 17.79/17.99 spl27_254 | spl27_270 | ~spl27_77 | ~spl27_62), 17.79/17.99 inference(avatar_split_clause,[],[f1532,f887,f1540,f1537,f1485])). 17.79/17.99 tff(f1543,plain,( 17.79/17.99 $less($uminus(sK0),sK5) | 0 = sK0 | (~spl27_58 | ~spl27_62)), 17.79/17.99 inference(forward_demodulation,[],[f1533,f870])). 17.79/17.99 tff(f1545,plain,( 17.79/17.99 spl27_272 <=> $less($uminus(sK0),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_272])])). 17.79/17.99 tff(f1546,plain,( 17.79/17.99 $less($uminus(sK0),sK5) | ~spl27_272), 17.79/17.99 inference(avatar_component_clause,[],[f1545])). 17.79/17.99 tff(f1547,plain,( 17.79/17.99 spl27_254 | spl27_272 | ~spl27_58 | ~spl27_62), 17.79/17.99 inference(avatar_split_clause,[],[f1543,f887,f869,f1545,f1485])). 17.79/17.99 tff(f1558,plain,( 17.79/17.99 ~$less(abs1(sK5),abs1($product(0,sK0))) | 0 = sK0 | ~spl27_64), 17.79/17.99 inference(superposition,[],[f517,f895])). 17.79/17.99 tff(f1559,plain,( 17.79/17.99 ~$less(abs1(sK5),abs1(0)) | 0 = sK0 | ~spl27_64), 17.79/17.99 inference(evaluation,[],[f1558])). 17.79/17.99 tff(f1562,plain,( 17.79/17.99 ~$less(sK5,abs1(0)) | 0 = sK0 | (~spl27_64 | ~spl27_74)), 17.79/17.99 inference(forward_demodulation,[],[f1559,f920])). 17.79/17.99 tff(f1564,plain,( 17.79/17.99 spl27_275 <=> ~$less(sK5,abs1(0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_275])])). 17.79/17.99 tff(f1566,plain,( 17.79/17.99 spl27_254 | ~spl27_275 | ~spl27_64 | ~spl27_74), 17.79/17.99 inference(avatar_split_clause,[],[f1562,f919,f894,f1564,f1485])). 17.79/17.99 tff(f1571,plain,( 17.79/17.99 $less($uminus(abs1(sK5)),1) | 0 = sK5 | ~spl27_80), 17.79/17.99 inference(superposition,[],[f519,f943])). 17.79/17.99 tff(f1574,plain,( 17.79/17.99 $less($uminus(sK5),1) | 0 = sK5 | (~spl27_74 | ~spl27_80)), 17.79/17.99 inference(forward_demodulation,[],[f1571,f920])). 17.79/17.99 tff(f1576,plain,( 17.79/17.99 spl27_276 <=> $less($uminus(sK5),1)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_276])])). 17.79/17.99 tff(f1577,plain,( 17.79/17.99 $less($uminus(sK5),1) | ~spl27_276), 17.79/17.99 inference(avatar_component_clause,[],[f1576])). 17.79/17.99 tff(f1578,plain,( 17.79/17.99 spl27_76 | spl27_276 | ~spl27_74 | ~spl27_80), 17.79/17.99 inference(avatar_split_clause,[],[f1574,f942,f919,f1576,f923])). 17.79/17.99 tff(f1587,plain,( 17.79/17.99 ~$less(abs1(1),abs1($product(0,sK5))) | 0 = sK5 | ~spl27_82), 17.79/17.99 inference(superposition,[],[f517,f947])). 17.79/17.99 tff(f1588,plain,( 17.79/17.99 ~$less(abs1(1),abs1(0)) | 0 = sK5 | ~spl27_82), 17.79/17.99 inference(evaluation,[],[f1587])). 17.79/17.99 tff(f1592,plain,( 17.79/17.99 spl27_279 <=> ~$less(abs1(1),abs1(0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_279])])). 17.79/17.99 tff(f1593,plain,( 17.79/17.99 ~$less(abs1(1),abs1(0)) | ~spl27_279), 17.79/17.99 inference(avatar_component_clause,[],[f1592])). 17.79/17.99 tff(f1594,plain,( 17.79/17.99 spl27_76 | ~spl27_279 | ~spl27_82), 17.79/17.99 inference(avatar_split_clause,[],[f1588,f946,f1592,f923])). 17.79/17.99 tff(f1604,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less($sum(sK5,$uminus(1)),$remainder_e(X0,sK5)) | 0 = sK5) ) | ~spl27_156), 17.79/17.99 inference(superposition,[],[f143,f1201])). 17.79/17.99 tff(f1605,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less($sum(sK5,-1),$remainder_e(X0,sK5)) | 0 = sK5) ) | ~spl27_156), 17.79/17.99 inference(evaluation,[],[f1604])). 17.79/17.99 tff(f1606,plain,( 17.79/17.99 ( ! [X0:$int] : (~$less($sum(-1,sK5),$remainder_e(X0,sK5)) | 0 = sK5) ) | ~spl27_156), 17.79/17.99 inference(forward_demodulation,[],[f1605,f122])). 17.79/17.99 tff(f1608,plain,( 17.79/17.99 spl27_280 <=> ! [X0 : $int] : ~$less($sum(-1,sK5),$remainder_e(X0,sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_280])])). 17.79/17.99 tff(f1610,plain,( 17.79/17.99 spl27_76 | spl27_280 | ~spl27_156), 17.79/17.99 inference(avatar_split_clause,[],[f1606,f1200,f1608,f923])). 17.79/17.99 tff(f1614,plain,( 17.79/17.99 $less($uminus(abs1(sK0)),1) | 0 = sK0 | ~spl27_116), 17.79/17.99 inference(superposition,[],[f519,f1055])). 17.79/17.99 tff(f1617,plain,( 17.79/17.99 $less($uminus(sK0),1) | 0 = sK0 | (~spl27_58 | ~spl27_116)), 17.79/17.99 inference(forward_demodulation,[],[f1614,f870])). 17.79/17.99 tff(f1619,plain,( 17.79/17.99 spl27_282 <=> $less($uminus(sK0),1)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_282])])). 17.79/17.99 tff(f1620,plain,( 17.79/17.99 $less($uminus(sK0),1) | ~spl27_282), 17.79/17.99 inference(avatar_component_clause,[],[f1619])). 17.79/17.99 tff(f1621,plain,( 17.79/17.99 spl27_254 | spl27_282 | ~spl27_58 | ~spl27_116), 17.79/17.99 inference(avatar_split_clause,[],[f1617,f1054,f869,f1619,f1485])). 17.79/17.99 tff(f1626,plain,( 17.79/17.99 $less($uminus(sK0),0) | mod2($uminus(sK0),sK5) = $uminus(sK0) | ~spl27_272), 17.79/17.99 inference(resolution,[],[f1546,f551])). 17.79/17.99 tff(f1627,plain,( 17.79/17.99 $less($uminus(sK0),0) | div2($uminus(sK0),sK5) = 0 | ~spl27_272), 17.79/17.99 inference(resolution,[],[f1546,f552])). 17.79/17.99 tff(f1628,plain,( 17.79/17.99 $less(sK5,0) | lt_nat1($uminus(sK0),sK5) | ~spl27_272), 17.79/17.99 inference(resolution,[],[f1546,f555])). 17.79/17.99 tff(f1629,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1($uminus(sK0)) | ~$less(X1,$uminus(sK0)) | ~no_prime_in1(X1,sK5)) ) | ~spl27_272), 17.79/17.99 inference(resolution,[],[f1546,f556])). 17.79/17.99 tff(f1630,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1($uminus(sK0))))) | $less($uminus(sK0),0) | ~first_primes1(X2,sK5)) ) | ~spl27_272), 17.79/17.99 inference(resolution,[],[f1546,f648])). 17.79/17.99 tff(f1633,plain,( 17.79/17.99 spl27_284 <=> mod2($uminus(sK0),sK5) = $uminus(sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_284])])). 17.79/17.99 tff(f1636,plain,( 17.79/17.99 spl27_286 <=> $less($uminus(sK0),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_286])])). 17.79/17.99 tff(f1637,plain,( 17.79/17.99 $less($uminus(sK0),0) | ~spl27_286), 17.79/17.99 inference(avatar_component_clause,[],[f1636])). 17.79/17.99 tff(f1638,plain,( 17.79/17.99 spl27_284 | spl27_286 | ~spl27_272), 17.79/17.99 inference(avatar_split_clause,[],[f1626,f1545,f1636,f1633])). 17.79/17.99 tff(f1640,plain,( 17.79/17.99 spl27_288 <=> div2($uminus(sK0),sK5) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_288])])). 17.79/17.99 tff(f1642,plain,( 17.79/17.99 spl27_288 | spl27_286 | ~spl27_272), 17.79/17.99 inference(avatar_split_clause,[],[f1627,f1545,f1636,f1640])). 17.79/17.99 tff(f1644,plain,( 17.79/17.99 spl27_290 <=> lt_nat1($uminus(sK0),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_290])])). 17.79/17.99 tff(f1646,plain,( 17.79/17.99 spl27_290 | spl27_10 | ~spl27_272), 17.79/17.99 inference(avatar_split_clause,[],[f1628,f1545,f890,f1644])). 17.79/17.99 tff(f1648,plain,( 17.79/17.99 spl27_292 <=> ! [X1 : $int] : (~$less(X1,$uminus(sK0)) | ~no_prime_in1(X1,sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_292])])). 17.79/17.99 tff(f1651,plain,( 17.79/17.99 spl27_295 <=> ~prime1($uminus(sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_295])])). 17.79/17.99 tff(f1652,plain,( 17.79/17.99 ~prime1($uminus(sK0)) | ~spl27_295), 17.79/17.99 inference(avatar_component_clause,[],[f1651])). 17.79/17.99 tff(f1653,plain,( 17.79/17.99 spl27_292 | ~spl27_295 | ~spl27_272), 17.79/17.99 inference(avatar_split_clause,[],[f1629,f1545,f1651,f1648])). 17.79/17.99 tff(f1655,plain,( 17.79/17.99 spl27_296 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1($uminus(sK0))))) | ~first_primes1(X2,sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_296])])). 17.79/17.99 tff(f1657,plain,( 17.79/17.99 spl27_286 | spl27_296 | ~spl27_272), 17.79/17.99 inference(avatar_split_clause,[],[f1630,f1545,f1655,f1636])). 17.79/17.99 tff(f1669,plain,( 17.79/17.99 $less(sK10($uminus(sK0)),$uminus(sK0)) | $less($uminus(sK0),2) | ~spl27_295), 17.79/17.99 inference(resolution,[],[f1652,f502])). 17.79/17.99 tff(f1670,plain,( 17.79/17.99 $less(1,sK10($uminus(sK0))) | $less($uminus(sK0),2) | ~spl27_295), 17.79/17.99 inference(resolution,[],[f1652,f503])). 17.79/17.99 tff(f1671,plain,( 17.79/17.99 $less(1,$product(sK9($uminus(sK0)),sK9($uminus(sK0)))) | $less($uminus(sK0),2) | ~spl27_295), 17.79/17.99 inference(resolution,[],[f1652,f496])). 17.79/17.99 tff(f1673,plain,( 17.79/17.99 spl27_298 <=> $less($uminus(sK0),2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_298])])). 17.79/17.99 tff(f1674,plain,( 17.79/17.99 $less($uminus(sK0),2) | ~spl27_298), 17.79/17.99 inference(avatar_component_clause,[],[f1673])). 17.79/17.99 tff(f1676,plain,( 17.79/17.99 spl27_300 <=> $less(sK10($uminus(sK0)),$uminus(sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_300])])). 17.79/17.99 tff(f1678,plain,( 17.79/17.99 spl27_298 | spl27_300 | spl27_295), 17.79/17.99 inference(avatar_split_clause,[],[f1669,f1651,f1676,f1673])). 17.79/17.99 tff(f1680,plain,( 17.79/17.99 spl27_302 <=> $less(1,sK10($uminus(sK0)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_302])])). 17.79/17.99 tff(f1682,plain,( 17.79/17.99 spl27_298 | spl27_302 | spl27_295), 17.79/17.99 inference(avatar_split_clause,[],[f1670,f1651,f1680,f1673])). 17.79/17.99 tff(f1684,plain,( 17.79/17.99 spl27_304 <=> $less(1,$product(sK9($uminus(sK0)),sK9($uminus(sK0))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_304])])). 17.79/17.99 tff(f1686,plain,( 17.79/17.99 spl27_298 | spl27_304 | spl27_295), 17.79/17.99 inference(avatar_split_clause,[],[f1671,f1651,f1684,f1673])). 17.79/17.99 tff(f1697,plain,( 17.79/17.99 ( ! [X1:$int] : ($sum(sK8,X1) = $sum(2,$sum(sK6,X1))) ) | ~spl27_134), 17.79/17.99 inference(superposition,[],[f123,f1121])). 17.79/17.99 tff(f1698,plain,( 17.79/17.99 ( ! [X2:$int] : ($less($sum(X2,sK6),sK8) | ~$less(X2,2)) ) | ~spl27_134), 17.79/17.99 inference(superposition,[],[f130,f1121])). 17.79/17.99 tff(f1699,plain,( 17.79/17.99 ( ! [X3:$int] : ($less(sK8,$sum(X3,sK6)) | ~$less(2,X3)) ) | ~spl27_134), 17.79/17.99 inference(superposition,[],[f130,f1121])). 17.79/17.99 tff(f1704,plain,( 17.79/17.99 ( ! [X0:$int] : (~divides1(X0,-1) | ~divides1(X0,sK0) | divides1(X0,sK5)) ) | ~spl27_138), 17.79/17.99 inference(superposition,[],[f625,f1137])). 17.79/17.99 tff(f1705,plain,( 17.79/17.99 ( ! [X1:$int] : ($sum(sK5,X1) = $sum(-1,$sum(sK0,X1))) ) | ~spl27_138), 17.79/17.99 inference(superposition,[],[f123,f1137])). 17.79/17.99 tff(f1706,plain,( 17.79/17.99 ( ! [X2:$int] : ($less($sum(X2,sK0),sK5) | ~$less(X2,-1)) ) | ~spl27_138), 17.79/17.99 inference(superposition,[],[f130,f1137])). 17.79/17.99 tff(f1707,plain,( 17.79/17.99 ( ! [X3:$int] : ($less(sK5,$sum(X3,sK0)) | ~$less(-1,X3)) ) | ~spl27_138), 17.79/17.99 inference(superposition,[],[f130,f1137])). 17.79/17.99 tff(f1709,plain,( 17.79/17.99 $less($uminus(sK5),0) | mod2($uminus(sK5),1) = $uminus(sK5) | ~spl27_276), 17.79/17.99 inference(resolution,[],[f1577,f551])). 17.79/17.99 tff(f1710,plain,( 17.79/17.99 $less($uminus(sK5),0) | div2($uminus(sK5),1) = 0 | ~spl27_276), 17.79/17.99 inference(resolution,[],[f1577,f552])). 17.79/17.99 tff(f1711,plain,( 17.79/17.99 $less(1,0) | lt_nat1($uminus(sK5),1) | ~spl27_276), 17.79/17.99 inference(resolution,[],[f1577,f555])). 17.79/17.99 tff(f1712,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1($uminus(sK5)) | ~$less(X1,$uminus(sK5)) | ~no_prime_in1(X1,1)) ) | ~spl27_276), 17.79/17.99 inference(resolution,[],[f1577,f556])). 17.79/17.99 tff(f1713,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1($uminus(sK5))))) | $less($uminus(sK5),0) | ~first_primes1(X2,1)) ) | ~spl27_276), 17.79/17.99 inference(resolution,[],[f1577,f648])). 17.79/17.99 tff(f1715,plain,( 17.79/17.99 lt_nat1($uminus(sK5),1) | ~spl27_276), 17.79/17.99 inference(evaluation,[],[f1711])). 17.79/17.99 tff(f1716,plain,( 17.79/17.99 0 = $uminus(sK5) | $less($uminus(sK5),0) | ~spl27_276), 17.79/17.99 inference(forward_demodulation,[],[f1709,f473])). 17.79/17.99 tff(f1718,plain,( 17.79/17.99 spl27_306 <=> $less($uminus(sK5),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_306])])). 17.79/17.99 tff(f1719,plain,( 17.79/17.99 $less($uminus(sK5),0) | ~spl27_306), 17.79/17.99 inference(avatar_component_clause,[],[f1718])). 17.79/17.99 tff(f1721,plain,( 17.79/17.99 spl27_308 <=> 0 = $uminus(sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_308])])). 17.79/17.99 tff(f1723,plain,( 17.79/17.99 spl27_306 | spl27_308 | ~spl27_276), 17.79/17.99 inference(avatar_split_clause,[],[f1716,f1576,f1721,f1718])). 17.79/17.99 tff(f1724,plain,( 17.79/17.99 0 = $uminus(sK5) | $less($uminus(sK5),0) | ~spl27_276), 17.79/17.99 inference(forward_demodulation,[],[f1710,f471])). 17.79/17.99 tff(f1725,plain,( 17.79/17.99 spl27_306 | spl27_308 | ~spl27_276), 17.79/17.99 inference(avatar_split_clause,[],[f1724,f1576,f1721,f1718])). 17.79/17.99 tff(f1727,plain,( 17.79/17.99 spl27_310 <=> lt_nat1($uminus(sK5),1)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_310])])). 17.79/17.99 tff(f1729,plain,( 17.79/17.99 spl27_310 | ~spl27_276), 17.79/17.99 inference(avatar_split_clause,[],[f1715,f1576,f1727])). 17.79/17.99 tff(f1731,plain,( 17.79/17.99 spl27_312 <=> ! [X1 : $int] : (~$less(X1,$uminus(sK5)) | ~no_prime_in1(X1,1))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_312])])). 17.79/17.99 tff(f1734,plain,( 17.79/17.99 spl27_315 <=> ~prime1($uminus(sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_315])])). 17.79/17.99 tff(f1735,plain,( 17.79/17.99 ~prime1($uminus(sK5)) | ~spl27_315), 17.79/17.99 inference(avatar_component_clause,[],[f1734])). 17.79/17.99 tff(f1736,plain,( 17.79/17.99 spl27_312 | ~spl27_315 | ~spl27_276), 17.79/17.99 inference(avatar_split_clause,[],[f1712,f1576,f1734,f1731])). 17.79/17.99 tff(f1738,plain,( 17.79/17.99 spl27_316 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1($uminus(sK5))))) | ~first_primes1(X2,1))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_316])])). 17.79/17.99 tff(f1740,plain,( 17.79/17.99 spl27_306 | spl27_316 | ~spl27_276), 17.79/17.99 inference(avatar_split_clause,[],[f1713,f1576,f1738,f1718])). 17.79/17.99 tff(f1742,plain,( 17.79/17.99 $less($uminus(sK0),sK0) | (~spl27_8 | ~spl27_272)), 17.79/17.99 inference(resolution,[],[f879,f1546])). 17.79/17.99 tff(f1745,plain,( 17.79/17.99 ( ! [X0:$int] : ($less(sK5,X0) | $less(X0,sK0) | sK5 = X0) ) | ~spl27_8), 17.79/17.99 inference(resolution,[],[f879,f129])). 17.79/17.99 tff(f1748,plain,( 17.79/17.99 spl27_318 <=> $less($uminus(sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_318])])). 17.79/17.99 tff(f1749,plain,( 17.79/17.99 $less($uminus(sK0),sK0) | ~spl27_318), 17.79/17.99 inference(avatar_component_clause,[],[f1748])). 17.79/17.99 tff(f1750,plain,( 17.79/17.99 spl27_318 | ~spl27_8 | ~spl27_272), 17.79/17.99 inference(avatar_split_clause,[],[f1742,f1545,f743,f1748])). 17.79/17.99 tff(f1751,plain,( 17.79/17.99 $less(sK10($uminus(sK5)),$uminus(sK5)) | $less($uminus(sK5),2) | ~spl27_315), 17.79/17.99 inference(resolution,[],[f1735,f502])). 17.79/17.99 tff(f1752,plain,( 17.79/17.99 $less(1,sK10($uminus(sK5))) | $less($uminus(sK5),2) | ~spl27_315), 17.79/17.99 inference(resolution,[],[f1735,f503])). 17.79/17.99 tff(f1753,plain,( 17.79/17.99 $less(1,$product(sK9($uminus(sK5)),sK9($uminus(sK5)))) | $less($uminus(sK5),2) | ~spl27_315), 17.79/17.99 inference(resolution,[],[f1735,f496])). 17.79/17.99 tff(f1755,plain,( 17.79/17.99 spl27_320 <=> $less($uminus(sK5),2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_320])])). 17.79/17.99 tff(f1756,plain,( 17.79/17.99 $less($uminus(sK5),2) | ~spl27_320), 17.79/17.99 inference(avatar_component_clause,[],[f1755])). 17.79/17.99 tff(f1758,plain,( 17.79/17.99 spl27_322 <=> $less(sK10($uminus(sK5)),$uminus(sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_322])])). 17.79/17.99 tff(f1760,plain,( 17.79/17.99 spl27_320 | spl27_322 | spl27_315), 17.79/17.99 inference(avatar_split_clause,[],[f1751,f1734,f1758,f1755])). 17.79/17.99 tff(f1762,plain,( 17.79/17.99 spl27_324 <=> $less(1,sK10($uminus(sK5)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_324])])). 17.79/17.99 tff(f1764,plain,( 17.79/17.99 spl27_320 | spl27_324 | spl27_315), 17.79/17.99 inference(avatar_split_clause,[],[f1752,f1734,f1762,f1755])). 17.79/17.99 tff(f1766,plain,( 17.79/17.99 spl27_326 <=> $less(1,$product(sK9($uminus(sK5)),sK9($uminus(sK5))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_326])])). 17.79/17.99 tff(f1768,plain,( 17.79/17.99 spl27_320 | spl27_326 | spl27_315), 17.79/17.99 inference(avatar_split_clause,[],[f1753,f1734,f1766,f1755])). 17.79/17.99 tff(f1769,plain,( 17.79/17.99 ~no_prime_in1(0,sK0) | (~spl27_68 | ~spl27_78)), 17.79/17.99 inference(resolution,[],[f906,f927])). 17.79/17.99 tff(f1770,plain,( 17.79/17.99 ~no_prime_in1($uminus(sK0),sK0) | (~spl27_68 | ~spl27_272)), 17.79/17.99 inference(resolution,[],[f906,f1546])). 17.79/17.99 tff(f1771,plain,( 17.79/17.99 ~no_prime_in1(2,sK0) | (~spl27_68 | ~spl27_88)), 17.79/17.99 inference(resolution,[],[f906,f960])). 17.79/17.99 tff(f1772,plain,( 17.79/17.99 ~no_prime_in1(1,sK0) | (~spl27_18 | ~spl27_68)), 17.79/17.99 inference(resolution,[],[f906,f767])). 17.79/17.99 tff(f1776,plain,( 17.79/17.99 spl27_329 <=> ~no_prime_in1(0,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_329])])). 17.79/17.99 tff(f1777,plain,( 17.79/17.99 ~no_prime_in1(0,sK0) | ~spl27_329), 17.79/17.99 inference(avatar_component_clause,[],[f1776])). 17.79/17.99 tff(f1778,plain,( 17.79/17.99 ~spl27_329 | ~spl27_68 | ~spl27_78), 17.79/17.99 inference(avatar_split_clause,[],[f1769,f926,f905,f1776])). 17.79/17.99 tff(f1780,plain,( 17.79/17.99 spl27_331 <=> ~no_prime_in1($uminus(sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_331])])). 17.79/17.99 tff(f1781,plain,( 17.79/17.99 ~no_prime_in1($uminus(sK0),sK0) | ~spl27_331), 17.79/17.99 inference(avatar_component_clause,[],[f1780])). 17.79/17.99 tff(f1782,plain,( 17.79/17.99 ~spl27_331 | ~spl27_68 | ~spl27_272), 17.79/17.99 inference(avatar_split_clause,[],[f1770,f1545,f905,f1780])). 17.79/17.99 tff(f1784,plain,( 17.79/17.99 spl27_333 <=> ~no_prime_in1(2,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_333])])). 17.79/17.99 tff(f1785,plain,( 17.79/17.99 ~no_prime_in1(2,sK0) | ~spl27_333), 17.79/17.99 inference(avatar_component_clause,[],[f1784])). 17.79/17.99 tff(f1786,plain,( 17.79/17.99 ~spl27_333 | ~spl27_68 | ~spl27_88), 17.79/17.99 inference(avatar_split_clause,[],[f1771,f959,f905,f1784])). 17.79/17.99 tff(f1788,plain,( 17.79/17.99 spl27_335 <=> ~no_prime_in1(1,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_335])])). 17.79/17.99 tff(f1789,plain,( 17.79/17.99 ~no_prime_in1(1,sK0) | ~spl27_335), 17.79/17.99 inference(avatar_component_clause,[],[f1788])). 17.79/17.99 tff(f1790,plain,( 17.79/17.99 ~spl27_335 | ~spl27_18 | ~spl27_68), 17.79/17.99 inference(avatar_split_clause,[],[f1772,f905,f766,f1788])). 17.79/17.99 tff(f1791,plain,( 17.79/17.99 $less(0,sK21(0,sK0)) | ~spl27_329), 17.79/17.99 inference(resolution,[],[f1777,f557])). 17.79/17.99 tff(f1792,plain,( 17.79/17.99 $less(sK21(0,sK0),sK0) | ~spl27_329), 17.79/17.99 inference(resolution,[],[f1777,f558])). 17.79/17.99 tff(f1794,plain,( 17.79/17.99 spl27_336 <=> $less(0,sK21(0,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_336])])). 17.79/17.99 tff(f1795,plain,( 17.79/17.99 $less(0,sK21(0,sK0)) | ~spl27_336), 17.79/17.99 inference(avatar_component_clause,[],[f1794])). 17.79/17.99 tff(f1796,plain,( 17.79/17.99 spl27_336 | spl27_329), 17.79/17.99 inference(avatar_split_clause,[],[f1791,f1776,f1794])). 17.79/17.99 tff(f1798,plain,( 17.79/17.99 spl27_338 <=> $less(sK21(0,sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_338])])). 17.79/17.99 tff(f1799,plain,( 17.79/17.99 $less(sK21(0,sK0),sK0) | ~spl27_338), 17.79/17.99 inference(avatar_component_clause,[],[f1798])). 17.79/17.99 tff(f1800,plain,( 17.79/17.99 spl27_338 | spl27_329), 17.79/17.99 inference(avatar_split_clause,[],[f1792,f1776,f1798])). 17.79/17.99 tff(f1801,plain,( 17.79/17.99 $less($uminus(sK5),sK5) | (~spl27_18 | ~spl27_276)), 17.79/17.99 inference(resolution,[],[f931,f1577])). 17.79/17.99 tff(f1802,plain,( 17.79/17.99 ( ! [X0:$int] : ($less(1,X0) | $less(X0,sK5) | 1 = X0) ) | ~spl27_18), 17.79/17.99 inference(resolution,[],[f931,f129])). 17.79/17.99 tff(f1805,plain,( 17.79/17.99 spl27_340 <=> $less($uminus(sK5),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_340])])). 17.79/17.99 tff(f1806,plain,( 17.79/17.99 $less($uminus(sK5),sK5) | ~spl27_340), 17.79/17.99 inference(avatar_component_clause,[],[f1805])). 17.79/17.99 tff(f1807,plain,( 17.79/17.99 spl27_340 | ~spl27_18 | ~spl27_276), 17.79/17.99 inference(avatar_split_clause,[],[f1801,f1576,f766,f1805])). 17.79/17.99 tff(f1808,plain,( 17.79/17.99 $less($uminus(sK5),sK0) | (~spl27_38 | ~spl27_276)), 17.79/17.99 inference(resolution,[],[f1013,f1577])). 17.79/17.99 tff(f1809,plain,( 17.79/17.99 ( ! [X0:$int] : ($less(1,X0) | $less(X0,sK0) | 1 = X0) ) | ~spl27_38), 17.79/17.99 inference(resolution,[],[f1013,f129])). 17.79/17.99 tff(f1812,plain,( 17.79/17.99 spl27_342 <=> $less($uminus(sK5),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_342])])). 17.79/17.99 tff(f1813,plain,( 17.79/17.99 $less($uminus(sK5),sK0) | ~spl27_342), 17.79/17.99 inference(avatar_component_clause,[],[f1812])). 17.79/17.99 tff(f1814,plain,( 17.79/17.99 spl27_342 | ~spl27_38 | ~spl27_276), 17.79/17.99 inference(avatar_split_clause,[],[f1808,f1576,f819,f1812])). 17.79/17.99 tff(f1815,plain,( 17.79/17.99 $less(2,sK21(2,sK0)) | ~spl27_333), 17.79/17.99 inference(resolution,[],[f1785,f557])). 17.79/17.99 tff(f1816,plain,( 17.79/17.99 $less(sK21(2,sK0),sK0) | ~spl27_333), 17.79/17.99 inference(resolution,[],[f1785,f558])). 17.79/17.99 tff(f1818,plain,( 17.79/17.99 spl27_344 <=> $less(2,sK21(2,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_344])])). 17.79/17.99 tff(f1819,plain,( 17.79/17.99 $less(2,sK21(2,sK0)) | ~spl27_344), 17.79/17.99 inference(avatar_component_clause,[],[f1818])). 17.79/17.99 tff(f1820,plain,( 17.79/17.99 spl27_344 | spl27_333), 17.79/17.99 inference(avatar_split_clause,[],[f1815,f1784,f1818])). 17.79/17.99 tff(f1822,plain,( 17.79/17.99 spl27_346 <=> $less(sK21(2,sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_346])])). 17.79/17.99 tff(f1823,plain,( 17.79/17.99 $less(sK21(2,sK0),sK0) | ~spl27_346), 17.79/17.99 inference(avatar_component_clause,[],[f1822])). 17.79/17.99 tff(f1824,plain,( 17.79/17.99 spl27_346 | spl27_333), 17.79/17.99 inference(avatar_split_clause,[],[f1816,f1784,f1822])). 17.79/17.99 tff(f1825,plain,( 17.79/17.99 ( ! [X0:$int] : ($less(X0,sK0) | abs1(X0) = X0) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f1062,f479])). 17.79/17.99 tff(f1826,plain,( 17.79/17.99 ( ! [X1:$int] : ($less(0,X1) | $less(X1,sK0) | 0 = X1) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f1062,f129])). 17.79/17.99 tff(f1828,plain,( 17.79/17.99 $less(1,sK21(1,sK0)) | ~spl27_335), 17.79/17.99 inference(resolution,[],[f1789,f557])). 17.79/17.99 tff(f1829,plain,( 17.79/17.99 $less(sK21(1,sK0),sK0) | ~spl27_335), 17.79/17.99 inference(resolution,[],[f1789,f558])). 17.79/17.99 tff(f1831,plain,( 17.79/17.99 spl27_348 <=> $less(1,sK21(1,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_348])])). 17.79/17.99 tff(f1832,plain,( 17.79/17.99 $less(1,sK21(1,sK0)) | ~spl27_348), 17.79/17.99 inference(avatar_component_clause,[],[f1831])). 17.79/17.99 tff(f1833,plain,( 17.79/17.99 spl27_348 | spl27_335), 17.79/17.99 inference(avatar_split_clause,[],[f1828,f1788,f1831])). 17.79/17.99 tff(f1835,plain,( 17.79/17.99 spl27_350 <=> $less(sK21(1,sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_350])])). 17.79/17.99 tff(f1836,plain,( 17.79/17.99 $less(sK21(1,sK0),sK0) | ~spl27_350), 17.79/17.99 inference(avatar_component_clause,[],[f1835])). 17.79/17.99 tff(f1837,plain,( 17.79/17.99 spl27_350 | spl27_335), 17.79/17.99 inference(avatar_split_clause,[],[f1829,f1788,f1835])). 17.79/17.99 tff(f1838,plain,( 17.79/17.99 $sum(1,$product(2,sK12(sK3))) = sK3 | ~spl27_54), 17.79/17.99 inference(superposition,[],[f858,f122])). 17.79/17.99 tff(f1839,plain,( 17.79/17.99 $sum(1,$product(2,sK12(sK3))) = sK3 | ~spl27_54), 17.79/17.99 inference(superposition,[],[f858,f122])). 17.79/17.99 tff(f1842,plain,( 17.79/17.99 even1(sK3) | ~odd1($product(2,sK12(sK3))) | ~spl27_54), 17.79/17.99 inference(superposition,[],[f490,f858])). 17.79/17.99 tff(f1844,plain,( 17.79/17.99 ( ! [X0:$int] : ($less($product(2,sK12(sK3)),X0) | $less(X0,sK3)) ) | ~spl27_54), 17.79/17.99 inference(superposition,[],[f131,f858])). 17.79/17.99 tff(f1845,plain,( 17.79/17.99 ( ! [X1:$int] : (~$less($product(2,sK12(sK3)),X1) | ~$less(X1,sK3)) ) | ~spl27_54), 17.79/17.99 inference(superposition,[],[f144,f858])). 17.79/17.99 tff(f1847,plain,( 17.79/17.99 $sum(1,$product(2,sK12(sK3))) = sK3 | ~spl27_54), 17.79/17.99 inference(superposition,[],[f122,f858])). 17.79/17.99 tff(f1848,plain,( 17.79/17.99 $sum(1,$product(2,sK12(sK3))) = sK3 | ~spl27_54), 17.79/17.99 inference(superposition,[],[f122,f858])). 17.79/17.99 tff(f1853,plain,( 17.79/17.99 spl27_352 <=> $sum(1,$product(2,sK12(sK3))) = sK3), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_352])])). 17.79/17.99 tff(f1855,plain,( 17.79/17.99 spl27_352 | ~spl27_54), 17.79/17.99 inference(avatar_split_clause,[],[f1838,f857,f1853])). 17.79/17.99 tff(f1856,plain,( 17.79/17.99 spl27_352 | ~spl27_54), 17.79/17.99 inference(avatar_split_clause,[],[f1839,f857,f1853])). 17.79/17.99 tff(f1858,plain,( 17.79/17.99 spl27_355 <=> ~odd1($product(2,sK12(sK3)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_355])])). 17.79/17.99 tff(f1861,plain,( 17.79/17.99 spl27_56 <=> even1(sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_56])])). 17.79/17.99 tff(f1863,plain,( 17.79/17.99 ~spl27_355 | spl27_56 | ~spl27_54), 17.79/17.99 inference(avatar_split_clause,[],[f1842,f857,f1861,f1858])). 17.79/17.99 tff(f1864,plain,( 17.79/17.99 spl27_352 | ~spl27_54), 17.79/17.99 inference(avatar_split_clause,[],[f1847,f857,f1853])). 17.79/17.99 tff(f1865,plain,( 17.79/17.99 spl27_352 | ~spl27_54), 17.79/17.99 inference(avatar_split_clause,[],[f1848,f857,f1853])). 17.79/17.99 tff(f1871,plain,( 17.79/17.99 $less(1,0) | lt_nat1($uminus(sK0),1) | ~spl27_282), 17.79/17.99 inference(resolution,[],[f1620,f555])). 17.79/17.99 tff(f1875,plain,( 17.79/17.99 lt_nat1($uminus(sK0),1) | ~spl27_282), 17.79/17.99 inference(evaluation,[],[f1871])). 17.79/17.99 tff(f1877,plain,( 17.79/17.99 spl27_356 <=> lt_nat1($uminus(sK0),1)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_356])])). 17.79/17.99 tff(f1879,plain,( 17.79/17.99 spl27_356 | ~spl27_282), 17.79/17.99 inference(avatar_split_clause,[],[f1875,f1619,f1877])). 17.79/17.99 tff(f1885,plain,( 17.79/17.99 ~divides1(sK5,sK0) | ~prime1(sK0) | (~spl27_8 | ~spl27_18)), 17.79/17.99 inference(resolution,[],[f930,f744])). 17.79/17.99 tff(f1887,plain,( 17.79/17.99 spl27_359 <=> ~prime1(sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_359])])). 17.79/17.99 tff(f1888,plain,( 17.79/17.99 ~prime1(sK0) | ~spl27_359), 17.79/17.99 inference(avatar_component_clause,[],[f1887])). 17.79/17.99 tff(f1890,plain,( 17.79/17.99 spl27_361 <=> ~divides1(sK5,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_361])])). 17.79/17.99 tff(f1892,plain,( 17.79/17.99 ~spl27_359 | ~spl27_361 | ~spl27_8 | ~spl27_18), 17.79/17.99 inference(avatar_split_clause,[],[f1885,f766,f743,f1890,f1887])). 17.79/17.99 tff(f1893,plain,( 17.79/17.99 $less(sK10(sK0),sK0) | $less(sK0,2) | ~spl27_359), 17.79/17.99 inference(resolution,[],[f1888,f502])). 17.79/17.99 tff(f1894,plain,( 17.79/17.99 $less(1,sK10(sK0)) | $less(sK0,2) | ~spl27_359), 17.79/17.99 inference(resolution,[],[f1888,f503])). 17.79/17.99 tff(f1895,plain,( 17.79/17.99 $less(1,$product(sK9(sK0),sK9(sK0))) | $less(sK0,2) | ~spl27_359), 17.79/17.99 inference(resolution,[],[f1888,f496])). 17.79/17.99 tff(f1897,plain,( 17.79/17.99 spl27_44 <=> $less(sK0,2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_44])])). 17.79/17.99 tff(f1900,plain,( 17.79/17.99 spl27_362 <=> $less(sK10(sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_362])])). 17.79/17.99 tff(f1902,plain,( 17.79/17.99 spl27_44 | spl27_362 | spl27_359), 17.79/17.99 inference(avatar_split_clause,[],[f1893,f1887,f1900,f1897])). 17.79/17.99 tff(f1904,plain,( 17.79/17.99 spl27_364 <=> $less(1,sK10(sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_364])])). 17.79/17.99 tff(f1906,plain,( 17.79/17.99 spl27_44 | spl27_364 | spl27_359), 17.79/17.99 inference(avatar_split_clause,[],[f1894,f1887,f1904,f1897])). 17.79/17.99 tff(f1908,plain,( 17.79/17.99 spl27_366 <=> $less(1,$product(sK9(sK0),sK9(sK0)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_366])])). 17.79/17.99 tff(f1910,plain,( 17.79/17.99 spl27_44 | spl27_366 | spl27_359), 17.79/17.99 inference(avatar_split_clause,[],[f1895,f1887,f1908,f1897])). 17.79/17.99 tff(f1919,plain,( 17.79/17.99 ( ! [X4:$int] : (~$less(X4,sK6) | $less(sK8,0) | lt_nat1($sum(X4,2),sK8)) ) | ~spl27_2), 17.79/17.99 inference(resolution,[],[f1117,f555])). 17.79/17.99 tff(f1924,plain,( 17.79/17.99 ( ! [X0:$int] : ($less($sum(2,X0),sK8) | ~$less(X0,sK6)) ) | ~spl27_2), 17.79/17.99 inference(superposition,[],[f1117,f122])). 17.79/17.99 tff(f1934,plain,( 17.79/17.99 spl27_368 <=> $less(sK8,0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_368])])). 17.79/17.99 tff(f1937,plain,( 17.79/17.99 spl27_370 <=> ! [X4 : $int] : (~$less(X4,sK6) | lt_nat1($sum(X4,2),sK8))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_370])])). 17.79/17.99 tff(f1939,plain,( 17.79/17.99 spl27_368 | spl27_370 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1919,f731,f1937,f1934])). 17.79/17.99 tff(f1941,plain,( 17.79/17.99 ( ! [X2:$int] : (~$less(sK6,X2) | $less(sK8,0) | mod2(sK8,$sum(X2,2)) = sK8) ) | ~spl27_2), 17.79/17.99 inference(resolution,[],[f1118,f551])). 17.79/17.99 tff(f1942,plain,( 17.79/17.99 ( ! [X3:$int] : (~$less(sK6,X3) | $less(sK8,0) | div2(sK8,$sum(X3,2)) = 0) ) | ~spl27_2), 17.79/17.99 inference(resolution,[],[f1118,f552])). 17.79/17.99 tff(f1944,plain,( 17.79/17.99 ( ! [X6:$int,X5:$int] : (~$less(sK6,X5) | ~prime1(sK8) | ~$less(X6,sK8) | ~no_prime_in1(X6,$sum(X5,2))) ) | ~spl27_2), 17.79/17.99 inference(resolution,[],[f1118,f556])). 17.79/17.99 tff(f1945,plain,( 17.79/17.99 ( ! [X8:array_int,X7:$int] : (~$less(sK6,X7) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X8)),t2tb1(sK8)))) | $less(sK8,0) | ~first_primes1(X8,$sum(X7,2))) ) | ~spl27_2), 17.79/17.99 inference(resolution,[],[f1118,f648])). 17.79/17.99 tff(f1948,plain,( 17.79/17.99 ( ! [X0:$int] : ($less(sK8,$sum(2,X0)) | ~$less(sK6,X0)) ) | ~spl27_2), 17.79/17.99 inference(superposition,[],[f1118,f122])). 17.79/17.99 tff(f1954,plain,( 17.79/17.99 spl27_372 <=> ! [X2 : $int] : (~$less(sK6,X2) | mod2(sK8,$sum(X2,2)) = sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_372])])). 17.79/17.99 tff(f1956,plain,( 17.79/17.99 spl27_368 | spl27_372 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1941,f731,f1954,f1934])). 17.79/17.99 tff(f1958,plain,( 17.79/17.99 spl27_374 <=> ! [X3 : $int] : (~$less(sK6,X3) | div2(sK8,$sum(X3,2)) = 0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_374])])). 17.79/17.99 tff(f1960,plain,( 17.79/17.99 spl27_368 | spl27_374 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1942,f731,f1958,f1934])). 17.79/17.99 tff(f1962,plain,( 17.79/17.99 spl27_377 <=> ~prime1(sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_377])])). 17.79/17.99 tff(f1963,plain,( 17.79/17.99 ~prime1(sK8) | ~spl27_377), 17.79/17.99 inference(avatar_component_clause,[],[f1962])). 17.79/17.99 tff(f1965,plain,( 17.79/17.99 spl27_378 <=> ! [X5 : $int,X6 : $int] : (~$less(sK6,X5) | ~$less(X6,sK8) | ~no_prime_in1(X6,$sum(X5,2)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_378])])). 17.79/17.99 tff(f1967,plain,( 17.79/17.99 ~spl27_377 | spl27_378 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1944,f731,f1965,f1962])). 17.79/17.99 tff(f1969,plain,( 17.79/17.99 spl27_380 <=> ! [X7 : $int,X8 : array_int] : (~$less(sK6,X7) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X8)),t2tb1(sK8)))) | ~first_primes1(X8,$sum(X7,2)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_380])])). 17.79/17.99 tff(f1971,plain,( 17.79/17.99 spl27_368 | spl27_380 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1945,f731,f1969,f1934])). 17.79/17.99 tff(f1972,plain,( 17.79/17.99 $less(sK10(sK8),sK8) | $less(sK8,2) | ~spl27_377), 17.79/17.99 inference(resolution,[],[f1963,f502])). 17.79/17.99 tff(f1973,plain,( 17.79/17.99 $less(1,sK10(sK8)) | $less(sK8,2) | ~spl27_377), 17.79/17.99 inference(resolution,[],[f1963,f503])). 17.79/17.99 tff(f1974,plain,( 17.79/17.99 $less(1,$product(sK9(sK8),sK9(sK8))) | $less(sK8,2) | ~spl27_377), 17.79/17.99 inference(resolution,[],[f1963,f496])). 17.79/17.99 tff(f1976,plain,( 17.79/17.99 spl27_382 <=> $less(sK8,2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_382])])). 17.79/17.99 tff(f1979,plain,( 17.79/17.99 spl27_384 <=> $less(sK10(sK8),sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_384])])). 17.79/17.99 tff(f1981,plain,( 17.79/17.99 spl27_382 | spl27_384 | spl27_377), 17.79/17.99 inference(avatar_split_clause,[],[f1972,f1962,f1979,f1976])). 17.79/17.99 tff(f1983,plain,( 17.79/17.99 spl27_386 <=> $less(1,sK10(sK8))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_386])])). 17.79/17.99 tff(f1985,plain,( 17.79/17.99 spl27_382 | spl27_386 | spl27_377), 17.79/17.99 inference(avatar_split_clause,[],[f1973,f1962,f1983,f1976])). 17.79/17.99 tff(f1987,plain,( 17.79/17.99 spl27_388 <=> $less(1,$product(sK9(sK8),sK9(sK8)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_388])])). 17.79/17.99 tff(f1989,plain,( 17.79/17.99 spl27_382 | spl27_388 | spl27_377), 17.79/17.99 inference(avatar_split_clause,[],[f1974,f1962,f1987,f1976])). 17.79/17.99 tff(f1990,plain,( 17.79/17.99 ~divides1(sK6,2) | divides1(sK6,sK8) | ~spl27_2), 17.79/17.99 inference(resolution,[],[f1113,f457])). 17.79/17.99 tff(f1998,plain,( 17.79/17.99 spl27_390 <=> divides1(sK6,sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_390])])). 17.79/17.99 tff(f2001,plain,( 17.79/17.99 spl27_393 <=> ~divides1(sK6,2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_393])])). 17.79/17.99 tff(f2003,plain,( 17.79/17.99 spl27_390 | ~spl27_393 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f1990,f731,f2001,f1998])). 17.79/17.99 tff(f2007,plain,( 17.79/17.99 $sum(sK6,0) = $sum(sK8,$uminus(2)) | ~spl27_2), 17.79/17.99 inference(superposition,[],[f1116,f126])). 17.79/17.99 tff(f2013,plain,( 17.79/17.99 $sum(sK8,-2) = sK6 | ~spl27_2), 17.79/17.99 inference(evaluation,[],[f2007])). 17.79/17.99 tff(f2016,plain,( 17.79/17.99 spl27_394 <=> $sum(sK8,-2) = sK6), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_394])])). 17.79/17.99 tff(f2017,plain,( 17.79/17.99 $sum(sK8,-2) = sK6 | ~spl27_394), 17.79/17.99 inference(avatar_component_clause,[],[f2016])). 17.79/17.99 tff(f2018,plain,( 17.79/17.99 spl27_394 | ~spl27_2), 17.79/17.99 inference(avatar_split_clause,[],[f2013,f731,f2016])). 17.79/17.99 tff(f2022,plain,( 17.79/17.99 ( ! [X1:$int] : ($remainder_e(X1,sK0) = $remainder_e($sum(sK0,X1),sK0)) ) | ~spl27_42), 17.79/17.99 inference(superposition,[],[f1060,f135])). 17.79/17.99 tff(f2027,plain,( 17.79/17.99 ( ! [X4:$int] : ($remainder_e(X4,sK0) = $remainder_e(mod2(X4,sK0),sK0) | 0 = sK0) ) | ~spl27_42), 17.79/17.99 inference(superposition,[],[f1060,f518])). 17.79/17.99 tff(f2031,plain,( 17.79/17.99 ( ! [X0:$int,X1:$int] : (0 != $remainder_e(X1,sK0) | divides1(sK0,$sum($product(sK0,X0),X1)) | 0 = sK0) ) | ~spl27_42), 17.79/17.99 inference(superposition,[],[f524,f1060])). 17.79/17.99 tff(f2032,plain,( 17.79/17.99 ( ! [X2:$int,X3:$int] : ($sum($product(sK0,X2),X3) = $sum($remainder_e(X3,sK0),$product(sK0,$quotient_e($sum($product(sK0,X2),X3),sK0))) | 0 = sK0) ) | ~spl27_42), 17.79/17.99 inference(superposition,[],[f141,f1060])). 17.79/17.99 tff(f2038,plain,( 17.79/17.99 spl27_396 <=> ! [X4 : $int] : $remainder_e(X4,sK0) = $remainder_e(mod2(X4,sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_396])])). 17.79/17.99 tff(f2040,plain,( 17.79/17.99 spl27_254 | spl27_396 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f2027,f828,f2038,f1485])). 17.79/17.99 tff(f2043,plain,( 17.79/17.99 spl27_398 <=> ! [X1 : $int,X0 : $int] : (0 != $remainder_e(X1,sK0) | divides1(sK0,$sum($product(sK0,X0),X1)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_398])])). 17.79/17.99 tff(f2045,plain,( 17.79/17.99 spl27_254 | spl27_398 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f2031,f828,f2043,f1485])). 17.79/17.99 tff(f2046,plain,( 17.79/17.99 ( ! [X2:$int,X3:$int] : ($sum($product(sK0,X2),X3) = $sum($remainder_e(X3,sK0),$product(sK0,$sum(X2,$quotient_e(X3,sK0)))) | 0 = sK0) ) | ~spl27_42), 17.79/17.99 inference(forward_demodulation,[],[f2032,f1059])). 17.79/17.99 tff(f2048,plain,( 17.79/17.99 spl27_400 <=> ! [X3 : $int,X2 : $int] : $sum($product(sK0,X2),X3) = $sum($remainder_e(X3,sK0),$product(sK0,$sum(X2,$quotient_e(X3,sK0))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_400])])). 17.79/17.99 tff(f2050,plain,( 17.79/17.99 spl27_254 | spl27_400 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f2046,f828,f2048,f1485])). 17.79/17.99 tff(f2054,plain,( 17.79/17.99 $less(sK10(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),2) | ~spl27_177), 17.79/17.99 inference(resolution,[],[f1246,f502])). 17.79/17.99 tff(f2055,plain,( 17.79/17.99 $less(1,sK10(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),2) | ~spl27_177), 17.79/17.99 inference(resolution,[],[f1246,f503])). 17.79/17.99 tff(f2056,plain,( 17.79/17.99 $less(1,$product(sK9(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),sK9(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) | $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),2) | ~spl27_177), 17.79/17.99 inference(resolution,[],[f1246,f496])). 17.79/17.99 tff(f2058,plain,( 17.79/17.99 spl27_402 <=> $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_402])])). 17.79/17.99 tff(f2061,plain,( 17.79/17.99 spl27_404 <=> $less(sK10(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_404])])). 17.79/17.99 tff(f2063,plain,( 17.79/17.99 spl27_402 | spl27_404 | spl27_177), 17.79/17.99 inference(avatar_split_clause,[],[f2054,f1245,f2061,f2058])). 17.79/17.99 tff(f2065,plain,( 17.79/17.99 spl27_406 <=> $less(1,sK10(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_406])])). 17.79/17.99 tff(f2067,plain,( 17.79/17.99 spl27_402 | spl27_406 | spl27_177), 17.79/17.99 inference(avatar_split_clause,[],[f2055,f1245,f2065,f2058])). 17.79/17.99 tff(f2069,plain,( 17.79/17.99 spl27_408 <=> $less(1,$product(sK9(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),sK9(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_408])])). 17.79/17.99 tff(f2071,plain,( 17.79/17.99 spl27_402 | spl27_408 | spl27_177), 17.79/17.99 inference(avatar_split_clause,[],[f2056,f1245,f2069,f2058])). 17.79/17.99 tff(f2074,plain,( 17.79/17.99 abs1($uminus(sK0)) = $uminus($uminus(sK0)) | ~spl27_286), 17.79/17.99 inference(resolution,[],[f1637,f478])). 17.79/17.99 tff(f2075,plain,( 17.79/17.99 $uminus($uminus(sK0)) = $abs($uminus(sK0)) | ~spl27_286), 17.79/17.99 inference(resolution,[],[f1637,f140])). 17.79/17.99 tff(f2079,plain,( 17.79/17.99 $less(0,0) | lt_nat1($uminus(sK0),0) | ~spl27_286), 17.79/17.99 inference(resolution,[],[f1637,f555])). 17.79/17.99 tff(f2083,plain,( 17.79/17.99 lt_nat1($uminus(sK0),0) | ~spl27_286), 17.79/17.99 inference(evaluation,[],[f2079])). 17.79/17.99 tff(f2084,plain,( 17.79/17.99 abs1($uminus(sK0)) = sK0 | ~spl27_286), 17.79/17.99 inference(forward_demodulation,[],[f2074,f132])). 17.79/17.99 tff(f2086,plain,( 17.79/17.99 spl27_410 <=> abs1($uminus(sK0)) = sK0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_410])])). 17.79/17.99 tff(f2088,plain,( 17.79/17.99 spl27_410 | ~spl27_286), 17.79/17.99 inference(avatar_split_clause,[],[f2084,f1636,f2086])). 17.79/17.99 tff(f2089,plain,( 17.79/17.99 $abs($uminus(sK0)) = sK0 | ~spl27_286), 17.79/17.99 inference(forward_demodulation,[],[f2075,f132])). 17.79/17.99 tff(f2091,plain,( 17.79/17.99 spl27_412 <=> $abs($uminus(sK0)) = sK0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_412])])). 17.79/17.99 tff(f2093,plain,( 17.79/17.99 spl27_412 | ~spl27_286), 17.79/17.99 inference(avatar_split_clause,[],[f2089,f1636,f2091])). 17.79/17.99 tff(f2095,plain,( 17.79/17.99 spl27_414 <=> lt_nat1($uminus(sK0),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_414])])). 17.79/17.99 tff(f2097,plain,( 17.79/17.99 spl27_414 | ~spl27_286), 17.79/17.99 inference(avatar_split_clause,[],[f2083,f1636,f2095])). 17.79/17.99 tff(f2104,plain,( 17.79/17.99 abs1($uminus(sK5)) = $uminus($uminus(sK5)) | ~spl27_306), 17.79/17.99 inference(resolution,[],[f1719,f478])). 17.79/17.99 tff(f2105,plain,( 17.79/17.99 $uminus($uminus(sK5)) = $abs($uminus(sK5)) | ~spl27_306), 17.79/17.99 inference(resolution,[],[f1719,f140])). 17.79/17.99 tff(f2109,plain,( 17.79/17.99 $less(0,0) | lt_nat1($uminus(sK5),0) | ~spl27_306), 17.79/17.99 inference(resolution,[],[f1719,f555])). 17.79/17.99 tff(f2113,plain,( 17.79/17.99 lt_nat1($uminus(sK5),0) | ~spl27_306), 17.79/17.99 inference(evaluation,[],[f2109])). 17.79/17.99 tff(f2114,plain,( 17.79/17.99 abs1($uminus(sK5)) = sK5 | ~spl27_306), 17.79/17.99 inference(forward_demodulation,[],[f2104,f132])). 17.79/17.99 tff(f2116,plain,( 17.79/17.99 spl27_416 <=> abs1($uminus(sK5)) = sK5), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_416])])). 17.79/17.99 tff(f2118,plain,( 17.79/17.99 spl27_416 | ~spl27_306), 17.79/17.99 inference(avatar_split_clause,[],[f2114,f1718,f2116])). 17.79/17.99 tff(f2119,plain,( 17.79/17.99 $abs($uminus(sK5)) = sK5 | ~spl27_306), 17.79/17.99 inference(forward_demodulation,[],[f2105,f132])). 17.79/17.99 tff(f2121,plain,( 17.79/17.99 spl27_418 <=> $abs($uminus(sK5)) = sK5), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_418])])). 17.79/17.99 tff(f2123,plain,( 17.79/17.99 spl27_418 | ~spl27_306), 17.79/17.99 inference(avatar_split_clause,[],[f2119,f1718,f2121])). 17.79/17.99 tff(f2125,plain,( 17.79/17.99 spl27_420 <=> lt_nat1($uminus(sK5),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_420])])). 17.79/17.99 tff(f2127,plain,( 17.79/17.99 spl27_420 | ~spl27_306), 17.79/17.99 inference(avatar_split_clause,[],[f2113,f1718,f2125])). 17.79/17.99 tff(f2133,plain,( 17.79/17.99 ( ! [X1:$int] : ($sum(1,$quotient_e(X1,sK0)) = $quotient_e($sum(sK0,X1),sK0)) ) | ~spl27_42), 17.79/17.99 inference(superposition,[],[f1059,f135])). 17.79/17.99 tff(f2138,plain,( 17.79/17.99 ( ! [X4:$int] : ($sum(div2(X4,sK0),$quotient_e(mod2(X4,sK0),sK0)) = $quotient_e(X4,sK0) | 0 = sK0) ) | ~spl27_42), 17.79/17.99 inference(superposition,[],[f1059,f518])). 17.79/17.99 tff(f2145,plain,( 17.79/17.99 spl27_422 <=> ! [X4 : $int] : $sum(div2(X4,sK0),$quotient_e(mod2(X4,sK0),sK0)) = $quotient_e(X4,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_422])])). 17.79/17.99 tff(f2147,plain,( 17.79/17.99 spl27_254 | spl27_422 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f2138,f828,f2145,f1485])). 17.79/17.99 tff(f2153,plain,( 17.79/17.99 $less(sK0,0) | lt_nat1($uminus(sK0),sK0) | ~spl27_318), 17.79/17.99 inference(resolution,[],[f1749,f555])). 17.79/17.99 tff(f2158,plain,( 17.79/17.99 spl27_424 <=> lt_nat1($uminus(sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_424])])). 17.79/17.99 tff(f2160,plain,( 17.79/17.99 spl27_424 | spl27_4 | ~spl27_318), 17.79/17.99 inference(avatar_split_clause,[],[f2153,f1748,f901,f2158])). 17.79/17.99 tff(f2164,plain,( 17.79/17.99 $less($uminus(sK0),sK21($uminus(sK0),sK0)) | ~spl27_331), 17.79/17.99 inference(resolution,[],[f1781,f557])). 17.79/17.99 tff(f2165,plain,( 17.79/17.99 $less(sK21($uminus(sK0),sK0),sK0) | ~spl27_331), 17.79/17.99 inference(resolution,[],[f1781,f558])). 17.79/17.99 tff(f2167,plain,( 17.79/17.99 spl27_426 <=> $less($uminus(sK0),sK21($uminus(sK0),sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_426])])). 17.79/17.99 tff(f2169,plain,( 17.79/17.99 spl27_426 | spl27_331), 17.79/17.99 inference(avatar_split_clause,[],[f2164,f1780,f2167])). 17.79/17.99 tff(f2171,plain,( 17.79/17.99 spl27_428 <=> $less(sK21($uminus(sK0),sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_428])])). 17.79/17.99 tff(f2173,plain,( 17.79/17.99 spl27_428 | spl27_331), 17.79/17.99 inference(avatar_split_clause,[],[f2165,f1780,f2171])). 17.79/17.99 tff(f2177,plain,( 17.79/17.99 ~no_prime_in1($uminus(sK5),sK0) | (~spl27_68 | ~spl27_340)), 17.79/17.99 inference(resolution,[],[f1806,f906])). 17.79/17.99 tff(f2182,plain,( 17.79/17.99 $less(sK5,0) | lt_nat1($uminus(sK5),sK5) | ~spl27_340), 17.79/17.99 inference(resolution,[],[f1806,f555])). 17.79/17.99 tff(f2187,plain,( 17.79/17.99 spl27_431 <=> ~no_prime_in1($uminus(sK5),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_431])])). 17.79/17.99 tff(f2188,plain,( 17.79/17.99 ~no_prime_in1($uminus(sK5),sK0) | ~spl27_431), 17.79/17.99 inference(avatar_component_clause,[],[f2187])). 17.79/17.99 tff(f2189,plain,( 17.79/17.99 ~spl27_431 | ~spl27_68 | ~spl27_340), 17.79/17.99 inference(avatar_split_clause,[],[f2177,f1805,f905,f2187])). 17.79/17.99 tff(f2191,plain,( 17.79/17.99 spl27_432 <=> lt_nat1($uminus(sK5),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_432])])). 17.79/17.99 tff(f2193,plain,( 17.79/17.99 spl27_432 | spl27_10 | ~spl27_340), 17.79/17.99 inference(avatar_split_clause,[],[f2182,f1805,f890,f2191])). 17.79/17.99 tff(f2200,plain,( 17.79/17.99 $less(sK0,0) | lt_nat1($uminus(sK5),sK0) | ~spl27_342), 17.79/17.99 inference(resolution,[],[f1813,f555])). 17.79/17.99 tff(f2205,plain,( 17.79/17.99 spl27_434 <=> lt_nat1($uminus(sK5),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_434])])). 17.79/17.99 tff(f2207,plain,( 17.79/17.99 spl27_434 | spl27_4 | ~spl27_342), 17.79/17.99 inference(avatar_split_clause,[],[f2200,f1812,f901,f2205])). 17.79/17.99 tff(f2216,plain,( 17.79/17.99 ~$less(abs1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),abs1($product(0,sK6))) | 0 = sK6 | ~spl27_168), 17.79/17.99 inference(superposition,[],[f517,f1232])). 17.79/17.99 tff(f2217,plain,( 17.79/17.99 ~$less(abs1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),abs1(0)) | 0 = sK6 | ~spl27_168), 17.79/17.99 inference(evaluation,[],[f2216])). 17.79/17.99 tff(f2221,plain,( 17.79/17.99 spl27_436 <=> 0 = sK6), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_436])])). 17.79/17.99 tff(f2224,plain,( 17.79/17.99 spl27_439 <=> ~$less(abs1(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),abs1(0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_439])])). 17.79/17.99 tff(f2226,plain,( 17.79/17.99 spl27_436 | ~spl27_439 | ~spl27_168), 17.79/17.99 inference(avatar_split_clause,[],[f2217,f1231,f2224,f2221])). 17.79/17.99 tff(f2241,plain,( 17.79/17.99 $less(2,0) | lt_nat1($uminus(sK0),2) | ~spl27_298), 17.79/17.99 inference(resolution,[],[f1674,f555])). 17.79/17.99 tff(f2245,plain,( 17.79/17.99 lt_nat1($uminus(sK0),2) | ~spl27_298), 17.79/17.99 inference(evaluation,[],[f2241])). 17.79/17.99 tff(f2247,plain,( 17.79/17.99 spl27_440 <=> lt_nat1($uminus(sK0),2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_440])])). 17.79/17.99 tff(f2249,plain,( 17.79/17.99 spl27_440 | ~spl27_298), 17.79/17.99 inference(avatar_split_clause,[],[f2245,f1673,f2247])). 17.79/17.99 tff(f2255,plain,( 17.79/17.99 $less(2,0) | lt_nat1($uminus(sK5),2) | ~spl27_320), 17.79/17.99 inference(resolution,[],[f1756,f555])). 17.79/17.99 tff(f2259,plain,( 17.79/17.99 lt_nat1($uminus(sK5),2) | ~spl27_320), 17.79/17.99 inference(evaluation,[],[f2255])). 17.79/17.99 tff(f2261,plain,( 17.79/17.99 spl27_442 <=> lt_nat1($uminus(sK5),2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_442])])). 17.79/17.99 tff(f2263,plain,( 17.79/17.99 spl27_442 | ~spl27_320), 17.79/17.99 inference(avatar_split_clause,[],[f2259,f1755,f2261])). 17.79/17.99 tff(f2264,plain,( 17.79/17.99 t2tb1(2) = get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(0)) | ~spl27_146), 17.79/17.99 inference(superposition,[],[f466,f1161])). 17.79/17.99 tff(f2266,plain,( 17.79/17.99 spl27_444 <=> t2tb1(2) = get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_444])])). 17.79/17.99 tff(f2268,plain,( 17.79/17.99 spl27_444 | ~spl27_146), 17.79/17.99 inference(avatar_split_clause,[],[f2264,f1160,f2266])). 17.79/17.99 tff(f2277,plain,( 17.79/17.99 $less(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),0) | mod2(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8) = sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8) | ~spl27_220), 17.79/17.99 inference(resolution,[],[f1388,f551])). 17.79/17.99 tff(f2278,plain,( 17.79/17.99 $less(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),0) | div2(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8) = 0 | ~spl27_220), 17.79/17.99 inference(resolution,[],[f1388,f552])). 17.79/17.99 tff(f2279,plain,( 17.79/17.99 $less(sK8,0) | lt_nat1(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8) | ~spl27_220), 17.79/17.99 inference(resolution,[],[f1388,f555])). 17.79/17.99 tff(f2280,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) | ~$less(X1,sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) | ~no_prime_in1(X1,sK8)) ) | ~spl27_220), 17.79/17.99 inference(resolution,[],[f1388,f556])). 17.79/17.99 tff(f2281,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8))))) | $less(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),0) | ~first_primes1(X2,sK8)) ) | ~spl27_220), 17.79/17.99 inference(resolution,[],[f1388,f648])). 17.79/17.99 tff(f2284,plain,( 17.79/17.99 spl27_446 <=> mod2(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8) = sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_446])])). 17.79/17.99 tff(f2287,plain,( 17.79/17.99 spl27_448 <=> $less(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_448])])). 17.79/17.99 tff(f2289,plain,( 17.79/17.99 spl27_446 | spl27_448 | ~spl27_220), 17.79/17.99 inference(avatar_split_clause,[],[f2277,f1387,f2287,f2284])). 17.79/17.99 tff(f2291,plain,( 17.79/17.99 spl27_450 <=> div2(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_450])])). 17.79/17.99 tff(f2293,plain,( 17.79/17.99 spl27_450 | spl27_448 | ~spl27_220), 17.79/17.99 inference(avatar_split_clause,[],[f2278,f1387,f2287,f2291])). 17.79/17.99 tff(f2295,plain,( 17.79/17.99 spl27_452 <=> lt_nat1(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),sK8)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_452])])). 17.79/17.99 tff(f2297,plain,( 17.79/17.99 spl27_452 | spl27_368 | ~spl27_220), 17.79/17.99 inference(avatar_split_clause,[],[f2279,f1387,f1934,f2295])). 17.79/17.99 tff(f2299,plain,( 17.79/17.99 spl27_454 <=> ! [X1 : $int] : (~$less(X1,sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) | ~no_prime_in1(X1,sK8))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_454])])). 17.79/17.99 tff(f2302,plain,( 17.79/17.99 spl27_457 <=> ~prime1(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_457])])). 17.79/17.99 tff(f2304,plain,( 17.79/17.99 spl27_454 | ~spl27_457 | ~spl27_220), 17.79/17.99 inference(avatar_split_clause,[],[f2280,f1387,f2302,f2299])). 17.79/17.99 tff(f2306,plain,( 17.79/17.99 spl27_458 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8))))) | ~first_primes1(X2,sK8))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_458])])). 17.79/17.99 tff(f2308,plain,( 17.79/17.99 spl27_448 | spl27_458 | ~spl27_220), 17.79/17.99 inference(avatar_split_clause,[],[f2281,f1387,f2306,f2287])). 17.79/17.99 tff(f2312,plain,( 17.79/17.99 0 != sK3 | divides1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),sK3) | 0 = $product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~spl27_222), 17.79/17.99 inference(superposition,[],[f523,f1400])). 17.79/17.99 tff(f2313,plain,( 17.79/17.99 $less($uminus(abs1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))),sK3) | 0 = $product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~spl27_222), 17.79/17.99 inference(superposition,[],[f519,f1400])). 17.79/17.99 tff(f2314,plain,( 17.79/17.99 $less(sK3,abs1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) | 0 = $product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~spl27_222), 17.79/17.99 inference(superposition,[],[f520,f1400])). 17.79/17.99 tff(f2317,plain,( 17.79/17.99 spl27_460 <=> 0 = $product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_460])])). 17.79/17.99 tff(f2320,plain,( 17.79/17.99 spl27_462 <=> divides1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_462])])). 17.79/17.99 tff(f2323,plain,( 17.79/17.99 spl27_465 <=> 0 != sK3), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_465])])). 17.79/17.99 tff(f2325,plain,( 17.79/17.99 spl27_460 | spl27_462 | ~spl27_465 | ~spl27_222), 17.79/17.99 inference(avatar_split_clause,[],[f2312,f1399,f2323,f2320,f2317])). 17.79/17.99 tff(f2327,plain,( 17.79/17.99 spl27_466 <=> $less($uminus(abs1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))),sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_466])])). 17.79/17.99 tff(f2329,plain,( 17.79/17.99 spl27_460 | spl27_466 | ~spl27_222), 17.79/17.99 inference(avatar_split_clause,[],[f2313,f1399,f2327,f2317])). 17.79/17.99 tff(f2331,plain,( 17.79/17.99 spl27_468 <=> $less(sK3,abs1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_468])])). 17.79/17.99 tff(f2333,plain,( 17.79/17.99 spl27_460 | spl27_468 | ~spl27_222), 17.79/17.99 inference(avatar_split_clause,[],[f2314,f1399,f2331,f2317])). 17.79/17.99 tff(f2344,plain,( 17.79/17.99 ~$less(abs1(sK3),abs1($product(0,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))))) | 0 = $product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~spl27_224), 17.79/17.99 inference(superposition,[],[f517,f1404])). 17.79/17.99 tff(f2345,plain,( 17.79/17.99 ~$less(abs1(sK3),abs1(0)) | 0 = $product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | ~spl27_224), 17.79/17.99 inference(evaluation,[],[f2344])). 17.79/17.99 tff(f2349,plain,( 17.79/17.99 spl27_471 <=> ~$less(abs1(sK3),abs1(0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_471])])). 17.79/17.99 tff(f2350,plain,( 17.79/17.99 ~$less(abs1(sK3),abs1(0)) | ~spl27_471), 17.79/17.99 inference(avatar_component_clause,[],[f2349])). 17.79/17.99 tff(f2351,plain,( 17.79/17.99 spl27_460 | ~spl27_471 | ~spl27_224), 17.79/17.99 inference(avatar_split_clause,[],[f2345,f1403,f2349,f2317])). 17.79/17.99 tff(f2374,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : ($less(X56,0) | mod2(X56,sK0) = mod2($sum($product(sK0,1),X56),sK0) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f1058,f506])). 17.79/17.99 tff(f2402,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : ($less(X56,0) | mod2(1,sK0) = mod2($sum($product(sK0,X56),1),sK0) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f1058,f506])). 17.79/17.99 tff(f2419,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : ($less(X56,0) | mod2(X56,sK0) = mod2($sum(sK0,X56),sK0) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | ~spl27_42), 17.79/17.99 inference(evaluation,[],[f2374])). 17.79/17.99 tff(f2432,plain,( 17.79/17.99 spl27_472 <=> ! [X57 : $int] : (~divides1(0,X57) | ~prime1(X57) | ~$less(0,X57))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_472])])). 17.79/17.99 tff(f2433,plain,( 17.79/17.99 ( ! [X57:$int] : (~$less(0,X57) | ~prime1(X57) | ~divides1(0,X57)) ) | ~spl27_472), 17.79/17.99 inference(avatar_component_clause,[],[f2432])). 17.79/17.99 tff(f2435,plain,( 17.79/17.99 spl27_474 <=> ! [X56 : $int] : ($less(X56,0) | mod2(X56,sK0) = mod2($sum(sK0,X56),sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_474])])). 17.79/17.99 tff(f2437,plain,( 17.79/17.99 spl27_472 | spl27_474 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f2419,f828,f2435,f2432])). 17.79/17.99 tff(f2441,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : (mod2(1,sK0) = mod2($sum(1,$product(sK0,X56)),sK0) | $less(X56,0) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | ~spl27_42), 17.79/17.99 inference(forward_demodulation,[],[f2402,f122])). 17.79/17.99 tff(f2442,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : (mod2($sum(1,$product(sK0,X56)),sK0) = 1 | $less(X56,0) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | (~spl27_42 | ~spl27_116)), 17.79/17.99 inference(forward_demodulation,[],[f2441,f1055])). 17.79/17.99 tff(f2444,plain,( 17.79/17.99 spl27_476 <=> ! [X56 : $int] : (mod2($sum(1,$product(sK0,X56)),sK0) = 1 | $less(X56,0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_476])])). 17.79/17.99 tff(f2446,plain,( 17.79/17.99 spl27_472 | spl27_476 | ~spl27_42 | ~spl27_116), 17.79/17.99 inference(avatar_split_clause,[],[f2442,f1054,f828,f2444,f2432])). 17.79/17.99 tff(f2452,plain,( 17.79/17.99 ~$less($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),sK3) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f127])). 17.79/17.99 tff(f2456,plain,( 17.79/17.99 ( ! [X4:$int] : (~$less(X4,sK3) | $less($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),0) | lt_nat1(X4,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f555])). 17.79/17.99 tff(f2460,plain,( 17.79/17.99 ( ! [X12:$int,X13:$int] : (~$less(0,sK3) | div2($sum($product($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),X12),X13),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = $sum(X12,div2(X13,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) | $less(X12,0) | $less(X13,0)) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f630])). 17.79/17.99 tff(f2461,plain,( 17.79/17.99 ( ! [X14:$int,X15:$int] : (~$less(0,sK3) | mod2(X14,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = mod2($sum($product($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),X15),X14),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | $less(X14,0) | $less(X15,0)) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f629])). 17.79/17.99 tff(f2462,plain,( 17.79/17.99 ( ! [X17:$int,X16:$int] : (~$less(0,sK3) | $sum(X16,$quotient_e(X17,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) = $quotient_e($sum($product($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),X16),X17),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f615])). 17.79/17.99 tff(f2463,plain,( 17.79/17.99 ( ! [X19:$int,X18:$int] : (~$less(0,sK3) | $remainder_e(X18,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = $remainder_e($sum($product($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),X19),X18),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f614])). 17.79/17.99 tff(f2464,plain,( 17.79/17.99 ~$less(0,sK3) | $product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) = $abs($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f139])). 17.79/17.99 tff(f2465,plain,( 17.79/17.99 ( ! [X20:$int] : (~$less($product(X20,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),sK3) | $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),0) | $less(X20,2)) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f626])). 17.79/17.99 tff(f2466,plain,( 17.79/17.99 ( ! [X21:$int] : (~$less(1,sK3) | ~divides1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),X21) | ~$less($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),X21) | ~prime1(X21)) ) | ~spl27_22), 17.79/17.99 inference(resolution,[],[f1391,f506])). 17.79/17.99 tff(f2467,plain,( 17.79/17.99 ~$less(sK0,sK3) | ~divides1(sK0,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~prime1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | (~spl27_22 | ~spl27_38)), 17.79/17.99 inference(resolution,[],[f1391,f1012])). 17.79/17.99 tff(f2468,plain,( 17.79/17.99 ~$less(sK5,sK3) | ~divides1(sK5,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~prime1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | (~spl27_18 | ~spl27_22)), 17.79/17.99 inference(resolution,[],[f1391,f930])). 17.79/17.99 tff(f2470,plain,( 17.79/17.99 spl27_479 <=> ~$less($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_479])])). 17.79/17.99 tff(f2472,plain,( 17.79/17.99 ~spl27_479 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2452,f776,f2470])). 17.79/17.99 tff(f2474,plain,( 17.79/17.99 spl27_480 <=> ! [X4 : $int] : (~$less(X4,sK3) | lt_nat1(X4,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_480])])). 17.79/17.99 tff(f2476,plain,( 17.79/17.99 spl27_228 | spl27_480 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2456,f776,f2474,f1410])). 17.79/17.99 tff(f2477,plain,( 17.79/17.99 ( ! [X12:$int,X13:$int] : (div2($sum($product(2,$product(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),X12)),X13),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = $sum(X12,div2(X13,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) | ~$less(0,sK3) | $less(X12,0) | $less(X13,0)) ) | ~spl27_22), 17.79/17.99 inference(forward_demodulation,[],[f2460,f134])). 17.79/17.99 tff(f2479,plain,( 17.79/17.99 spl27_483 <=> ~$less(0,sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_483])])). 17.79/17.99 tff(f2482,plain,( 17.79/17.99 spl27_484 <=> ! [X13 : $int,X12 : $int] : (div2($sum($product(2,$product(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),X12)),X13),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = $sum(X12,div2(X13,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) | $less(X13,0) | $less(X12,0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_484])])). 17.79/17.99 tff(f2484,plain,( 17.79/17.99 ~spl27_483 | spl27_484 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2477,f776,f2482,f2479])). 17.79/17.99 tff(f2485,plain,( 17.79/17.99 ( ! [X14:$int,X15:$int] : (mod2(X14,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = mod2($sum($product(2,$product(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),X15)),X14),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~$less(0,sK3) | $less(X14,0) | $less(X15,0)) ) | ~spl27_22), 17.79/17.99 inference(forward_demodulation,[],[f2461,f134])). 17.79/17.99 tff(f2487,plain,( 17.79/17.99 spl27_486 <=> ! [X15 : $int,X14 : $int] : (mod2(X14,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = mod2($sum($product(2,$product(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),X15)),X14),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | $less(X15,0) | $less(X14,0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_486])])). 17.79/17.99 tff(f2489,plain,( 17.79/17.99 ~spl27_483 | spl27_486 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2485,f776,f2487,f2479])). 17.79/17.99 tff(f2490,plain,( 17.79/17.99 ( ! [X17:$int,X16:$int] : ($sum(X16,$quotient_e(X17,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) = $quotient_e($sum($product(2,$product(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),X16)),X17),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~$less(0,sK3)) ) | ~spl27_22), 17.79/17.99 inference(forward_demodulation,[],[f2462,f134])). 17.79/17.99 tff(f2492,plain,( 17.79/17.99 spl27_488 <=> ! [X16 : $int,X17 : $int] : $sum(X16,$quotient_e(X17,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))) = $quotient_e($sum($product(2,$product(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),X16)),X17),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_488])])). 17.79/17.99 tff(f2494,plain,( 17.79/17.99 ~spl27_483 | spl27_488 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2490,f776,f2492,f2479])). 17.79/17.99 tff(f2495,plain,( 17.79/17.99 ( ! [X19:$int,X18:$int] : ($remainder_e(X18,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = $remainder_e($sum($product(2,$product(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),X19)),X18),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) | ~$less(0,sK3)) ) | ~spl27_22), 17.79/17.99 inference(forward_demodulation,[],[f2463,f134])). 17.79/17.99 tff(f2497,plain,( 17.79/17.99 spl27_490 <=> ! [X18 : $int,X19 : $int] : $remainder_e(X18,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))) = $remainder_e($sum($product(2,$product(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),X19)),X18),$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_490])])). 17.79/17.99 tff(f2499,plain,( 17.79/17.99 ~spl27_483 | spl27_490 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2495,f776,f2497,f2479])). 17.79/17.99 tff(f2501,plain,( 17.79/17.99 spl27_492 <=> $product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) = $abs($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_492])])). 17.79/17.99 tff(f2503,plain,( 17.79/17.99 spl27_492 | ~spl27_483 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2464,f776,f2479,f2501])). 17.79/17.99 tff(f2505,plain,( 17.79/17.99 spl27_494 <=> ! [X20 : $int] : (~$less($product(X20,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),sK3) | $less(X20,2))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_494])])). 17.79/17.99 tff(f2507,plain,( 17.79/17.99 spl27_166 | spl27_494 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2465,f776,f2505,f1227])). 17.79/17.99 tff(f2509,plain,( 17.79/17.99 spl27_496 <=> ! [X21 : $int] : (~divides1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),X21) | ~prime1(X21) | ~$less($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))),X21))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_496])])). 17.79/17.99 tff(f2512,plain,( 17.79/17.99 spl27_499 <=> ~$less(1,sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_499])])). 17.79/17.99 tff(f2514,plain,( 17.79/17.99 spl27_496 | ~spl27_499 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2466,f776,f2512,f2509])). 17.79/17.99 tff(f2516,plain,( 17.79/17.99 spl27_501 <=> ~prime1($product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_501])])). 17.79/17.99 tff(f2519,plain,( 17.79/17.99 spl27_503 <=> ~divides1(sK0,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_503])])). 17.79/17.99 tff(f2522,plain,( 17.79/17.99 spl27_505 <=> ~$less(sK0,sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_505])])). 17.79/17.99 tff(f2524,plain,( 17.79/17.99 ~spl27_501 | ~spl27_503 | ~spl27_505 | ~spl27_22 | ~spl27_38), 17.79/17.99 inference(avatar_split_clause,[],[f2467,f819,f776,f2522,f2519,f2516])). 17.79/17.99 tff(f2526,plain,( 17.79/17.99 spl27_507 <=> ~divides1(sK5,$product(2,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_507])])). 17.79/17.99 tff(f2529,plain,( 17.79/17.99 spl27_509 <=> ~$less(sK5,sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_509])])). 17.79/17.99 tff(f2531,plain,( 17.79/17.99 ~spl27_501 | ~spl27_507 | ~spl27_509 | ~spl27_18 | ~spl27_22), 17.79/17.99 inference(avatar_split_clause,[],[f2468,f776,f766,f2529,f2526,f2516])). 17.79/17.99 tff(f2532,plain,( 17.79/17.99 $less($uminus(sK5),sK21($uminus(sK5),sK0)) | ~spl27_431), 17.79/17.99 inference(resolution,[],[f2188,f557])). 17.79/17.99 tff(f2533,plain,( 17.79/17.99 $less(sK21($uminus(sK5),sK0),sK0) | ~spl27_431), 17.79/17.99 inference(resolution,[],[f2188,f558])). 17.79/17.99 tff(f2535,plain,( 17.79/17.99 spl27_510 <=> $less($uminus(sK5),sK21($uminus(sK5),sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_510])])). 17.79/17.99 tff(f2537,plain,( 17.79/17.99 spl27_510 | spl27_431), 17.79/17.99 inference(avatar_split_clause,[],[f2532,f2187,f2535])). 17.79/17.99 tff(f2539,plain,( 17.79/17.99 spl27_512 <=> $less(sK21($uminus(sK5),sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_512])])). 17.79/17.99 tff(f2541,plain,( 17.79/17.99 spl27_512 | spl27_431), 17.79/17.99 inference(avatar_split_clause,[],[f2533,f2187,f2539])). 17.79/17.99 tff(f2568,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : ($less(X56,0) | div2($sum($product(sK0,X56),1),sK0) = $sum(X56,div2(1,sK0)) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f1057,f506])). 17.79/17.99 tff(f2596,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : ($less(X56,0) | div2($sum($product(sK0,1),X56),sK0) = $sum(1,div2(X56,sK0)) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | ~spl27_42), 17.79/17.99 inference(resolution,[],[f1057,f506])). 17.79/17.99 tff(f2603,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : ($less(X56,0) | div2($sum(sK0,X56),sK0) = $sum(1,div2(X56,sK0)) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | ~spl27_42), 17.79/17.99 inference(evaluation,[],[f2596])). 17.79/17.99 tff(f2631,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : (div2($sum($product(sK0,X56),1),sK0) = $sum(X56,0) | $less(X56,0) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | (~spl27_42 | ~spl27_114)), 17.79/17.99 inference(forward_demodulation,[],[f2568,f1051])). 17.79/17.99 tff(f2632,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : (div2($sum($product(sK0,X56),1),sK0) = X56 | $less(X56,0) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | (~spl27_42 | ~spl27_114)), 17.79/17.99 inference(evaluation,[],[f2631])). 17.79/17.99 tff(f2633,plain,( 17.79/17.99 ( ! [X57:$int,X56:$int] : (div2($sum(1,$product(sK0,X56)),sK0) = X56 | $less(X56,0) | ~divides1(0,X57) | ~$less(0,X57) | ~prime1(X57)) ) | (~spl27_42 | ~spl27_114)), 17.79/17.99 inference(forward_demodulation,[],[f2632,f122])). 17.79/17.99 tff(f2635,plain,( 17.79/17.99 spl27_514 <=> ! [X56 : $int] : (div2($sum(1,$product(sK0,X56)),sK0) = X56 | $less(X56,0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_514])])). 17.79/17.99 tff(f2637,plain,( 17.79/17.99 spl27_472 | spl27_514 | ~spl27_42 | ~spl27_114), 17.79/17.99 inference(avatar_split_clause,[],[f2633,f1050,f828,f2635,f2432])). 17.79/17.99 tff(f2643,plain,( 17.79/17.99 spl27_516 <=> ! [X56 : $int] : ($less(X56,0) | div2($sum(sK0,X56),sK0) = $sum(1,div2(X56,sK0)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_516])])). 17.79/17.99 tff(f2645,plain,( 17.79/17.99 spl27_472 | spl27_516 | ~spl27_42), 17.79/17.99 inference(avatar_split_clause,[],[f2603,f828,f2643,f2432])). 17.79/17.99 tff(f2657,plain,( 17.79/17.99 tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))) != 0 | divides1(sK6,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | 0 = sK6 | ~spl27_164), 17.79/17.99 inference(superposition,[],[f523,f1225])). 17.79/17.99 tff(f2658,plain,( 17.79/17.99 $less($uminus(abs1(sK6)),tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | 0 = sK6 | ~spl27_164), 17.79/17.99 inference(superposition,[],[f519,f1225])). 17.79/17.99 tff(f2659,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),abs1(sK6)) | 0 = sK6 | ~spl27_164), 17.79/17.99 inference(superposition,[],[f520,f1225])). 17.79/17.99 tff(f2662,plain,( 17.79/17.99 spl27_518 <=> divides1(sK6,tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_518])])). 17.79/17.99 tff(f2665,plain,( 17.79/17.99 spl27_521 <=> tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))) != 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_521])])). 17.79/17.99 tff(f2667,plain,( 17.79/17.99 spl27_436 | spl27_518 | ~spl27_521 | ~spl27_164), 17.79/17.99 inference(avatar_split_clause,[],[f2657,f1224,f2665,f2662,f2221])). 17.79/17.99 tff(f2669,plain,( 17.79/17.99 spl27_522 <=> $less($uminus(abs1(sK6)),tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_522])])). 17.79/17.99 tff(f2671,plain,( 17.79/17.99 spl27_436 | spl27_522 | ~spl27_164), 17.79/17.99 inference(avatar_split_clause,[],[f2658,f1224,f2669,f2221])). 17.79/17.99 tff(f2673,plain,( 17.79/17.99 spl27_524 <=> $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),abs1(sK6))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_524])])). 17.79/17.99 tff(f2675,plain,( 17.79/17.99 spl27_436 | spl27_524 | ~spl27_164), 17.79/17.99 inference(avatar_split_clause,[],[f2659,f1224,f2673,f2221])). 17.79/17.99 tff(f2693,plain,( 17.79/17.99 $less($uminus(abs1(sK3)),tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5))))) | 0 = sK3 | ~spl27_180), 17.79/17.99 inference(superposition,[],[f519,f1263])). 17.79/17.99 tff(f2694,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),abs1(sK3)) | 0 = sK3 | ~spl27_180), 17.79/17.99 inference(superposition,[],[f520,f1263])). 17.79/17.99 tff(f2697,plain,( 17.79/17.99 spl27_464 <=> 0 = sK3), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_464])])). 17.79/17.99 tff(f2700,plain,( 17.79/17.99 spl27_526 <=> $less($uminus(abs1(sK3)),tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_526])])). 17.79/17.99 tff(f2702,plain,( 17.79/17.99 spl27_464 | spl27_526 | ~spl27_180), 17.79/17.99 inference(avatar_split_clause,[],[f2693,f1262,f2700,f2697])). 17.79/17.99 tff(f2704,plain,( 17.79/17.99 spl27_528 <=> $less(tb2t1(get(int,int,t2tb3(sK4),t2tb1($sum(-1,sK5)))),abs1(sK3))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_528])])). 17.79/17.99 tff(f2706,plain,( 17.79/17.99 spl27_464 | spl27_528 | ~spl27_180), 17.79/17.99 inference(avatar_split_clause,[],[f2694,f1262,f2704,f2697])). 17.79/17.99 tff(f2720,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),0) | mod2(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) = tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))) | ~spl27_218), 17.79/17.99 inference(resolution,[],[f1384,f551])). 17.79/17.99 tff(f2721,plain,( 17.79/17.99 $less(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),0) | div2(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) = 0 | ~spl27_218), 17.79/17.99 inference(resolution,[],[f1384,f552])). 17.79/17.99 tff(f2722,plain,( 17.79/17.99 $less(sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8),0) | lt_nat1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) | ~spl27_218), 17.79/17.99 inference(resolution,[],[f1384,f555])). 17.79/17.99 tff(f2723,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5)))))) | ~$less(X1,tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5)))))) | ~no_prime_in1(X1,sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8))) ) | ~spl27_218), 17.79/17.99 inference(resolution,[],[f1384,f556])). 17.79/17.99 tff(f2724,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))))))) | $less(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),0) | ~first_primes1(X2,sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8))) ) | ~spl27_218), 17.79/17.99 inference(resolution,[],[f1384,f648])). 17.79/17.99 tff(f2727,plain,( 17.79/17.99 spl27_530 <=> mod2(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) = tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5)))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_530])])). 17.79/17.99 tff(f2730,plain,( 17.79/17.99 spl27_532 <=> $less(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_532])])). 17.79/17.99 tff(f2732,plain,( 17.79/17.99 spl27_530 | spl27_532 | ~spl27_218), 17.79/17.99 inference(avatar_split_clause,[],[f2720,f1383,f2730,f2727])). 17.79/17.99 tff(f2734,plain,( 17.79/17.99 spl27_534 <=> div2(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_534])])). 17.79/17.99 tff(f2736,plain,( 17.79/17.99 spl27_534 | spl27_532 | ~spl27_218), 17.79/17.99 inference(avatar_split_clause,[],[f2721,f1383,f2730,f2734])). 17.79/17.99 tff(f2738,plain,( 17.79/17.99 spl27_536 <=> lt_nat1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_536])])). 17.79/17.99 tff(f2740,plain,( 17.79/17.99 spl27_536 | spl27_448 | ~spl27_218), 17.79/17.99 inference(avatar_split_clause,[],[f2722,f1383,f2287,f2738])). 17.79/17.99 tff(f2742,plain,( 17.79/17.99 spl27_538 <=> ! [X1 : $int] : (~$less(X1,tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5)))))) | ~no_prime_in1(X1,sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_538])])). 17.79/17.99 tff(f2745,plain,( 17.79/17.99 spl27_541 <=> ~prime1(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_541])])). 17.79/17.99 tff(f2747,plain,( 17.79/17.99 spl27_538 | ~spl27_541 | ~spl27_218), 17.79/17.99 inference(avatar_split_clause,[],[f2723,f1383,f2745,f2742])). 17.79/17.99 tff(f2748,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))))) | $less(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),0) | ~first_primes1(X2,sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8))) ) | ~spl27_218), 17.79/17.99 inference(forward_demodulation,[],[f2724,f466])). 17.79/17.99 tff(f2750,plain,( 17.79/17.99 spl27_542 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))))) | ~first_primes1(X2,sK21(tb2t1(get(int,int,t2tb3(sK7),t2tb1($sum(-1,$sum(1,sK5))))),sK8)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_542])])). 17.79/17.99 tff(f2752,plain,( 17.79/17.99 spl27_532 | spl27_542 | ~spl27_218), 17.79/17.99 inference(avatar_split_clause,[],[f2748,f1383,f2750,f2730])). 17.79/17.99 tff(f2779,plain,( 17.79/17.99 ~$less(abs1(2),abs1($product(0,sK5))) | 0 = sK5 | ~spl27_192), 17.79/17.99 inference(superposition,[],[f517,f1298])). 17.79/17.99 tff(f2780,plain,( 17.79/17.99 ~$less(abs1(2),abs1(0)) | 0 = sK5 | ~spl27_192), 17.79/17.99 inference(evaluation,[],[f2779])). 17.79/17.99 tff(f2784,plain,( 17.79/17.99 spl27_545 <=> ~$less(abs1(2),abs1(0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_545])])). 17.79/17.99 tff(f2785,plain,( 17.79/17.99 ~$less(abs1(2),abs1(0)) | ~spl27_545), 17.79/17.99 inference(avatar_component_clause,[],[f2784])). 17.79/17.99 tff(f2786,plain,( 17.79/17.99 spl27_76 | ~spl27_545 | ~spl27_192), 17.79/17.99 inference(avatar_split_clause,[],[f2780,f1297,f2784,f923])). 17.79/17.99 tff(f2794,plain,( 17.79/17.99 $less($uminus(abs1(sK0)),3) | 0 = sK0 | ~spl27_200), 17.79/17.99 inference(superposition,[],[f519,f1331])). 17.79/17.99 tff(f2797,plain,( 17.79/17.99 $less($uminus(sK0),3) | 0 = sK0 | (~spl27_58 | ~spl27_200)), 17.79/17.99 inference(forward_demodulation,[],[f2794,f870])). 17.79/17.99 tff(f2799,plain,( 17.79/17.99 spl27_546 <=> $less($uminus(sK0),3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_546])])). 17.79/17.99 tff(f2800,plain,( 17.79/17.99 $less($uminus(sK0),3) | ~spl27_546), 17.79/17.99 inference(avatar_component_clause,[],[f2799])). 17.79/17.99 tff(f2801,plain,( 17.79/17.99 spl27_254 | spl27_546 | ~spl27_58 | ~spl27_200), 17.79/17.99 inference(avatar_split_clause,[],[f2797,f1330,f869,f2799,f1485])). 17.79/17.99 tff(f2812,plain,( 17.79/17.99 $less(3,0) | lt_nat1($uminus(sK0),3) | ~spl27_546), 17.79/17.99 inference(resolution,[],[f2800,f555])). 17.79/17.99 tff(f2816,plain,( 17.79/17.99 lt_nat1($uminus(sK0),3) | ~spl27_546), 17.79/17.99 inference(evaluation,[],[f2812])). 17.79/17.99 tff(f2818,plain,( 17.79/17.99 spl27_548 <=> lt_nat1($uminus(sK0),3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_548])])). 17.79/17.99 tff(f2820,plain,( 17.79/17.99 spl27_548 | ~spl27_546), 17.79/17.99 inference(avatar_split_clause,[],[f2816,f2799,f2818])). 17.79/17.99 tff(f2830,plain,( 17.79/17.99 $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,2),sK5) | $less(2,2) | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),2) | (~spl27_152 | ~spl27_198)), 17.79/17.99 inference(resolution,[],[f1177,f1315])). 17.79/17.99 tff(f2831,plain,( 17.79/17.99 $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,3),sK5) | $less(3,2) | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),3) | (~spl27_152 | ~spl27_208)), 17.79/17.99 inference(resolution,[],[f1177,f1352])). 17.79/17.99 tff(f2832,plain,( 17.79/17.99 $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,sK6),sK5) | $less(sK6,2) | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),sK6) | (~spl27_12 | ~spl27_152)), 17.79/17.99 inference(resolution,[],[f1177,f752])). 17.79/17.99 tff(f2835,plain,( 17.79/17.99 $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,3),sK5) | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),3) | (~spl27_152 | ~spl27_208)), 17.79/17.99 inference(evaluation,[],[f2831])). 17.79/17.99 tff(f2836,plain,( 17.79/17.99 $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,2),sK5) | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),2) | (~spl27_152 | ~spl27_198)), 17.79/17.99 inference(evaluation,[],[f2830])). 17.79/17.99 tff(f2841,plain,( 17.79/17.99 spl27_550 <=> $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_550])])). 17.79/17.99 tff(f2844,plain,( 17.79/17.99 spl27_552 <=> $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,2),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_552])])). 17.79/17.99 tff(f2846,plain,( 17.79/17.99 spl27_550 | spl27_552 | ~spl27_152 | ~spl27_198), 17.79/17.99 inference(avatar_split_clause,[],[f2836,f1314,f1176,f2844,f2841])). 17.79/17.99 tff(f2848,plain,( 17.79/17.99 spl27_554 <=> $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_554])])). 17.79/17.99 tff(f2851,plain,( 17.79/17.99 spl27_556 <=> $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,3),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_556])])). 17.79/17.99 tff(f2853,plain,( 17.79/17.99 spl27_554 | spl27_556 | ~spl27_152 | ~spl27_208), 17.79/17.99 inference(avatar_split_clause,[],[f2835,f1351,f1176,f2851,f2848])). 17.79/17.99 tff(f2855,plain,( 17.79/17.99 spl27_558 <=> $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),sK6)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_558])])). 17.79/17.99 tff(f2858,plain,( 17.79/17.99 spl27_560 <=> $less(sK6,2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_560])])). 17.79/17.99 tff(f2861,plain,( 17.79/17.99 spl27_562 <=> $less(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,sK6),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_562])])). 17.79/17.99 tff(f2863,plain,( 17.79/17.99 spl27_558 | spl27_560 | spl27_562 | ~spl27_12 | ~spl27_152), 17.79/17.99 inference(avatar_split_clause,[],[f2832,f1176,f751,f2861,f2858,f2855])). 17.79/17.99 tff(f2874,plain,( 17.79/17.99 $less(2,2) | tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,2)))) = 2 | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),2) | (~spl27_150 | ~spl27_198)), 17.79/17.99 inference(resolution,[],[f1171,f1315])). 17.79/17.99 tff(f2875,plain,( 17.79/17.99 $less(3,2) | tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,3)))) = 3 | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),3) | (~spl27_150 | ~spl27_208)), 17.79/17.99 inference(resolution,[],[f1171,f1352])). 17.79/17.99 tff(f2879,plain,( 17.79/17.99 tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,3)))) = 3 | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),3) | (~spl27_150 | ~spl27_208)), 17.79/17.99 inference(evaluation,[],[f2875])). 17.79/17.99 tff(f2880,plain,( 17.79/17.99 tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,2)))) = 2 | $less(tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1($sum(-1,sK5)))),2) | (~spl27_150 | ~spl27_198)), 17.79/17.99 inference(evaluation,[],[f2874])). 17.79/17.99 tff(f2885,plain,( 17.79/17.99 spl27_564 <=> tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,2)))) = 2), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_564])])). 17.79/17.99 tff(f2887,plain,( 17.79/17.99 spl27_550 | spl27_564 | ~spl27_150 | ~spl27_198), 17.79/17.99 inference(avatar_split_clause,[],[f2880,f1314,f1170,f2885,f2841])). 17.79/17.99 tff(f2889,plain,( 17.79/17.99 spl27_566 <=> tb2t1(get(int,int,elts(int,mk_array1(int,sK0,t2tb3(sK4))),t2tb1(sK13(tb2t2(mk_array1(int,sK0,t2tb3(sK4))),sK5,3)))) = 3), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_566])])). 17.79/17.99 tff(f2891,plain,( 17.79/17.99 spl27_554 | spl27_566 | ~spl27_150 | ~spl27_208), 17.79/17.99 inference(avatar_split_clause,[],[f2879,f1351,f1170,f2889,f2848])). 17.79/17.99 tff(f2897,plain,( 17.79/17.99 ~$less(abs1(3),abs1($product(0,sK0))) | 0 = sK0 | ~spl27_202), 17.79/17.99 inference(superposition,[],[f517,f1335])). 17.79/17.99 tff(f2898,plain,( 17.79/17.99 ~$less(abs1(3),abs1(0)) | 0 = sK0 | ~spl27_202), 17.79/17.99 inference(evaluation,[],[f2897])). 17.79/17.99 tff(f2902,plain,( 17.79/17.99 spl27_569 <=> ~$less(abs1(3),abs1(0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_569])])). 17.79/17.99 tff(f2903,plain,( 17.79/17.99 ~$less(abs1(3),abs1(0)) | ~spl27_569), 17.79/17.99 inference(avatar_component_clause,[],[f2902])). 17.79/17.99 tff(f2904,plain,( 17.79/17.99 spl27_254 | ~spl27_569 | ~spl27_202), 17.79/17.99 inference(avatar_split_clause,[],[f2898,f1334,f2902,f1485])). 17.79/17.99 tff(f2931,plain,( 17.79/17.99 ( ! [X4:$int] : ($less(sK0,0) | lt_nat1(mod2(X4,sK0),sK0)) ) | ~spl27_258), 17.79/17.99 inference(resolution,[],[f1493,f555])). 17.79/17.99 tff(f2941,plain,( 17.79/17.99 spl27_570 <=> ! [X4 : $int] : lt_nat1(mod2(X4,sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_570])])). 17.79/17.99 tff(f2943,plain,( 17.79/17.99 spl27_570 | spl27_4 | ~spl27_258), 17.79/17.99 inference(avatar_split_clause,[],[f2931,f1492,f901,f2941])). 17.79/17.99 tff(f2946,plain,( 17.79/17.99 ( ! [X3:$int] : ($less(mod2(X3,sK5),sK0)) ) | (~spl27_8 | ~spl27_264)), 17.79/17.99 inference(resolution,[],[f1514,f879])). 17.79/17.99 tff(f2950,plain,( 17.79/17.99 ( ! [X8:$int] : ($less(sK5,0) | lt_nat1(mod2(X8,sK5),sK5)) ) | ~spl27_264), 17.79/17.99 inference(resolution,[],[f1514,f555])). 17.79/17.99 tff(f2958,plain,( 17.79/17.99 spl27_572 <=> ! [X8 : $int] : lt_nat1(mod2(X8,sK5),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_572])])). 17.79/17.99 tff(f2960,plain,( 17.79/17.99 spl27_572 | spl27_10 | ~spl27_264), 17.79/17.99 inference(avatar_split_clause,[],[f2950,f1513,f890,f2958])). 17.79/17.99 tff(f2965,plain,( 17.79/17.99 $less(abs1(0),abs1(1)) | abs1(0) = abs1(1) | ~spl27_279), 17.79/17.99 inference(resolution,[],[f1593,f129])). 17.79/17.99 tff(f2966,plain,( 17.79/17.99 $less(abs1(0),abs1(1)) | abs1(0) = abs1(1) | ~spl27_279), 17.79/17.99 inference(resolution,[],[f1593,f129])). 17.79/17.99 tff(f2968,plain,( 17.79/17.99 spl27_574 <=> abs1(0) = abs1(1)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_574])])). 17.79/17.99 tff(f2971,plain,( 17.79/17.99 spl27_576 <=> $less(abs1(0),abs1(1))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_576])])). 17.79/17.99 tff(f2973,plain,( 17.79/17.99 spl27_574 | spl27_576 | spl27_279), 17.79/17.99 inference(avatar_split_clause,[],[f2965,f1592,f2971,f2968])). 17.79/17.99 tff(f2974,plain,( 17.79/17.99 spl27_574 | spl27_576 | spl27_279), 17.79/17.99 inference(avatar_split_clause,[],[f2966,f1592,f2971,f2968])). 17.79/17.99 tff(f2976,plain,( 17.79/17.99 $sum(-2,sK8) = sK6 | ~spl27_394), 17.79/17.99 inference(superposition,[],[f2017,f122])). 17.79/17.99 tff(f2977,plain,( 17.79/17.99 $sum(-2,sK8) = sK6 | ~spl27_394), 17.79/17.99 inference(superposition,[],[f2017,f122])). 17.79/17.99 tff(f2979,plain,( 17.79/17.99 $sum(-2,sK8) = sK6 | ~spl27_394), 17.79/17.99 inference(superposition,[],[f122,f2017])). 17.79/17.99 tff(f2980,plain,( 17.79/17.99 $sum(-2,sK8) = sK6 | ~spl27_394), 17.79/17.99 inference(superposition,[],[f122,f2017])). 17.79/17.99 tff(f2985,plain,( 17.79/17.99 spl27_578 <=> $sum(-2,sK8) = sK6), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_578])])). 17.79/17.99 tff(f2987,plain,( 17.79/17.99 spl27_578 | ~spl27_394), 17.79/17.99 inference(avatar_split_clause,[],[f2976,f2016,f2985])). 17.79/17.99 tff(f2988,plain,( 17.79/17.99 spl27_578 | ~spl27_394), 17.79/17.99 inference(avatar_split_clause,[],[f2977,f2016,f2985])). 17.79/17.99 tff(f2989,plain,( 17.79/17.99 spl27_578 | ~spl27_394), 17.79/17.99 inference(avatar_split_clause,[],[f2979,f2016,f2985])). 17.79/17.99 tff(f2990,plain,( 17.79/17.99 spl27_578 | ~spl27_394), 17.79/17.99 inference(avatar_split_clause,[],[f2980,f2016,f2985])). 17.79/17.99 tff(f2992,plain,( 17.79/17.99 $less(abs1(0),abs1(sK3)) | abs1(0) = abs1(sK3) | ~spl27_471), 17.79/17.99 inference(resolution,[],[f2350,f129])). 17.79/17.99 tff(f2993,plain,( 17.79/17.99 $less(abs1(0),abs1(sK3)) | abs1(0) = abs1(sK3) | ~spl27_471), 17.79/17.99 inference(resolution,[],[f2350,f129])). 17.79/17.99 tff(f2995,plain,( 17.79/17.99 spl27_580 <=> abs1(0) = abs1(sK3)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_580])])). 17.79/17.99 tff(f2998,plain,( 17.79/17.99 spl27_582 <=> $less(abs1(0),abs1(sK3))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_582])])). 17.79/17.99 tff(f3000,plain,( 17.79/17.99 spl27_580 | spl27_582 | spl27_471), 17.79/17.99 inference(avatar_split_clause,[],[f2992,f2349,f2998,f2995])). 17.79/17.99 tff(f3001,plain,( 17.79/17.99 spl27_580 | spl27_582 | spl27_471), 17.79/17.99 inference(avatar_split_clause,[],[f2993,f2349,f2998,f2995])). 17.79/17.99 tff(f3015,plain,( 17.79/17.99 $abs(sK21(0,sK0)) = sK21(0,sK0) | ~spl27_336), 17.79/17.99 inference(resolution,[],[f1795,f139])). 17.79/17.99 tff(f3017,plain,( 17.79/17.99 $less(0,0) | mod2(0,sK21(0,sK0)) = 0 | ~spl27_336), 17.79/17.99 inference(resolution,[],[f1795,f551])). 17.79/17.99 tff(f3018,plain,( 17.79/17.99 $less(0,0) | div2(0,sK21(0,sK0)) = 0 | ~spl27_336), 17.79/17.99 inference(resolution,[],[f1795,f552])). 17.79/17.99 tff(f3019,plain,( 17.79/17.99 $less(sK21(0,sK0),0) | lt_nat1(0,sK21(0,sK0)) | ~spl27_336), 17.79/17.99 inference(resolution,[],[f1795,f555])). 17.79/17.99 tff(f3024,plain,( 17.79/17.99 div2(0,sK21(0,sK0)) = 0 | ~spl27_336), 17.79/17.99 inference(evaluation,[],[f3018])). 17.79/17.99 tff(f3025,plain,( 17.79/17.99 mod2(0,sK21(0,sK0)) = 0 | ~spl27_336), 17.79/17.99 inference(evaluation,[],[f3017])). 17.79/17.99 tff(f3027,plain,( 17.79/17.99 spl27_584 <=> $abs(sK21(0,sK0)) = sK21(0,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_584])])). 17.79/17.99 tff(f3029,plain,( 17.79/17.99 spl27_584 | ~spl27_336), 17.79/17.99 inference(avatar_split_clause,[],[f3015,f1794,f3027])). 17.79/17.99 tff(f3031,plain,( 17.79/17.99 spl27_586 <=> mod2(0,sK21(0,sK0)) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_586])])). 17.79/17.99 tff(f3033,plain,( 17.79/17.99 spl27_586 | ~spl27_336), 17.79/17.99 inference(avatar_split_clause,[],[f3025,f1794,f3031])). 17.79/17.99 tff(f3035,plain,( 17.79/17.99 spl27_588 <=> div2(0,sK21(0,sK0)) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_588])])). 17.79/17.99 tff(f3037,plain,( 17.79/17.99 spl27_588 | ~spl27_336), 17.79/17.99 inference(avatar_split_clause,[],[f3024,f1794,f3035])). 17.79/17.99 tff(f3039,plain,( 17.79/17.99 spl27_590 <=> lt_nat1(0,sK21(0,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_590])])). 17.79/17.99 tff(f3042,plain,( 17.79/17.99 spl27_592 <=> $less(sK21(0,sK0),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_592])])). 17.79/17.99 tff(f3044,plain,( 17.79/17.99 spl27_590 | spl27_592 | ~spl27_336), 17.79/17.99 inference(avatar_split_clause,[],[f3019,f1794,f3042,f3039])). 17.79/17.99 tff(f3049,plain,( 17.79/17.99 ~no_prime_in1($uminus(sK0),sK5) | (~spl27_196 | ~spl27_298)), 17.79/17.99 inference(resolution,[],[f1306,f1674])). 17.79/17.99 tff(f3050,plain,( 17.79/17.99 ~no_prime_in1($uminus(sK5),sK5) | (~spl27_196 | ~spl27_320)), 17.79/17.99 inference(resolution,[],[f1306,f1756])). 17.79/17.99 tff(f3054,plain,( 17.79/17.99 spl27_595 <=> ~no_prime_in1($uminus(sK0),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_595])])). 17.79/17.99 tff(f3055,plain,( 17.79/17.99 ~no_prime_in1($uminus(sK0),sK5) | ~spl27_595), 17.79/17.99 inference(avatar_component_clause,[],[f3054])). 17.79/17.99 tff(f3056,plain,( 17.79/17.99 ~spl27_595 | ~spl27_196 | ~spl27_298), 17.79/17.99 inference(avatar_split_clause,[],[f3049,f1673,f1305,f3054])). 17.79/17.99 tff(f3058,plain,( 17.79/17.99 spl27_597 <=> ~no_prime_in1($uminus(sK5),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_597])])). 17.79/17.99 tff(f3059,plain,( 17.79/17.99 ~no_prime_in1($uminus(sK5),sK5) | ~spl27_597), 17.79/17.99 inference(avatar_component_clause,[],[f3058])). 17.79/17.99 tff(f3060,plain,( 17.79/17.99 ~spl27_597 | ~spl27_196 | ~spl27_320), 17.79/17.99 inference(avatar_split_clause,[],[f3050,f1755,f1305,f3058])). 17.79/17.99 tff(f3061,plain,( 17.79/17.99 $less($uminus(sK0),sK21($uminus(sK0),sK5)) | ~spl27_595), 17.79/17.99 inference(resolution,[],[f3055,f557])). 17.79/17.99 tff(f3062,plain,( 17.79/17.99 $less(sK21($uminus(sK0),sK5),sK5) | ~spl27_595), 17.79/17.99 inference(resolution,[],[f3055,f558])). 17.79/17.99 tff(f3064,plain,( 17.79/17.99 spl27_598 <=> $less($uminus(sK0),sK21($uminus(sK0),sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_598])])). 17.79/17.99 tff(f3066,plain,( 17.79/17.99 spl27_598 | spl27_595), 17.79/17.99 inference(avatar_split_clause,[],[f3061,f3054,f3064])). 17.79/17.99 tff(f3068,plain,( 17.79/17.99 spl27_600 <=> $less(sK21($uminus(sK0),sK5),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_600])])). 17.79/17.99 tff(f3070,plain,( 17.79/17.99 spl27_600 | spl27_595), 17.79/17.99 inference(avatar_split_clause,[],[f3062,f3054,f3068])). 17.79/17.99 tff(f3074,plain,( 17.79/17.99 $less($uminus(sK5),sK21($uminus(sK5),sK5)) | ~spl27_597), 17.79/17.99 inference(resolution,[],[f3059,f557])). 17.79/17.99 tff(f3075,plain,( 17.79/17.99 $less(sK21($uminus(sK5),sK5),sK5) | ~spl27_597), 17.79/17.99 inference(resolution,[],[f3059,f558])). 17.79/17.99 tff(f3077,plain,( 17.79/17.99 spl27_602 <=> $less($uminus(sK5),sK21($uminus(sK5),sK5))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_602])])). 17.79/17.99 tff(f3079,plain,( 17.79/17.99 spl27_602 | spl27_597), 17.79/17.99 inference(avatar_split_clause,[],[f3074,f3058,f3077])). 17.79/17.99 tff(f3081,plain,( 17.79/17.99 spl27_604 <=> $less(sK21($uminus(sK5),sK5),sK5)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_604])])). 17.79/17.99 tff(f3083,plain,( 17.79/17.99 spl27_604 | spl27_597), 17.79/17.99 inference(avatar_split_clause,[],[f3075,f3058,f3081])). 17.79/17.99 tff(f3088,plain,( 17.79/17.99 $less(sK21(0,sK0),0) | mod2(sK21(0,sK0),sK0) = sK21(0,sK0) | ~spl27_338), 17.79/17.99 inference(resolution,[],[f1799,f551])). 17.79/17.99 tff(f3089,plain,( 17.79/17.99 $less(sK21(0,sK0),0) | div2(sK21(0,sK0),sK0) = 0 | ~spl27_338), 17.79/17.99 inference(resolution,[],[f1799,f552])). 17.79/17.99 tff(f3090,plain,( 17.79/17.99 $less(sK0,0) | lt_nat1(sK21(0,sK0),sK0) | ~spl27_338), 17.79/17.99 inference(resolution,[],[f1799,f555])). 17.79/17.99 tff(f3091,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(sK21(0,sK0)) | ~$less(X1,sK21(0,sK0)) | ~no_prime_in1(X1,sK0)) ) | ~spl27_338), 17.79/17.99 inference(resolution,[],[f1799,f556])). 17.79/17.99 tff(f3092,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK21(0,sK0))))) | $less(sK21(0,sK0),0) | ~first_primes1(X2,sK0)) ) | ~spl27_338), 17.79/17.99 inference(resolution,[],[f1799,f648])). 17.79/17.99 tff(f3095,plain,( 17.79/17.99 spl27_606 <=> mod2(sK21(0,sK0),sK0) = sK21(0,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_606])])). 17.79/17.99 tff(f3097,plain,( 17.79/17.99 spl27_606 | spl27_592 | ~spl27_338), 17.79/17.99 inference(avatar_split_clause,[],[f3088,f1798,f3042,f3095])). 17.79/17.99 tff(f3099,plain,( 17.79/17.99 spl27_608 <=> div2(sK21(0,sK0),sK0) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_608])])). 17.79/17.99 tff(f3101,plain,( 17.79/17.99 spl27_608 | spl27_592 | ~spl27_338), 17.79/17.99 inference(avatar_split_clause,[],[f3089,f1798,f3042,f3099])). 17.79/17.99 tff(f3103,plain,( 17.79/17.99 spl27_610 <=> lt_nat1(sK21(0,sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_610])])). 17.79/17.99 tff(f3105,plain,( 17.79/17.99 spl27_610 | spl27_4 | ~spl27_338), 17.79/17.99 inference(avatar_split_clause,[],[f3090,f1798,f901,f3103])). 17.79/17.99 tff(f3107,plain,( 17.79/17.99 spl27_612 <=> ! [X1 : $int] : (~$less(X1,sK21(0,sK0)) | ~no_prime_in1(X1,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_612])])). 17.79/17.99 tff(f3110,plain,( 17.79/17.99 spl27_615 <=> ~prime1(sK21(0,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_615])])). 17.79/17.99 tff(f3111,plain,( 17.79/17.99 ~prime1(sK21(0,sK0)) | ~spl27_615), 17.79/17.99 inference(avatar_component_clause,[],[f3110])). 17.79/17.99 tff(f3112,plain,( 17.79/17.99 spl27_612 | ~spl27_615 | ~spl27_338), 17.79/17.99 inference(avatar_split_clause,[],[f3091,f1798,f3110,f3107])). 17.79/17.99 tff(f3114,plain,( 17.79/17.99 spl27_616 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK21(0,sK0))))) | ~first_primes1(X2,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_616])])). 17.79/17.99 tff(f3116,plain,( 17.79/17.99 spl27_592 | spl27_616 | ~spl27_338), 17.79/17.99 inference(avatar_split_clause,[],[f3092,f1798,f3114,f3042])). 17.79/17.99 tff(f3121,plain,( 17.79/17.99 no_prime_in1(0,sK0) | ~spl27_615), 17.79/17.99 inference(resolution,[],[f3111,f559])). 17.79/17.99 tff(f3122,plain,( 17.79/17.99 $less(sK10(sK21(0,sK0)),sK21(0,sK0)) | $less(sK21(0,sK0),2) | ~spl27_615), 17.79/17.99 inference(resolution,[],[f3111,f502])). 17.79/17.99 tff(f3123,plain,( 17.79/17.99 $less(1,sK10(sK21(0,sK0))) | $less(sK21(0,sK0),2) | ~spl27_615), 17.79/17.99 inference(resolution,[],[f3111,f503])). 17.79/17.99 tff(f3124,plain,( 17.79/17.99 $less(1,$product(sK9(sK21(0,sK0)),sK9(sK21(0,sK0)))) | $less(sK21(0,sK0),2) | ~spl27_615), 17.79/17.99 inference(resolution,[],[f3111,f496])). 17.79/17.99 tff(f3126,plain,( 17.79/17.99 spl27_328 <=> no_prime_in1(0,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_328])])). 17.79/17.99 tff(f3128,plain,( 17.79/17.99 spl27_328 | spl27_615), 17.79/17.99 inference(avatar_split_clause,[],[f3121,f3110,f3126])). 17.79/17.99 tff(f3130,plain,( 17.79/17.99 spl27_618 <=> $less(sK21(0,sK0),2)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_618])])). 17.79/17.99 tff(f3133,plain,( 17.79/17.99 spl27_620 <=> $less(sK10(sK21(0,sK0)),sK21(0,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_620])])). 17.79/17.99 tff(f3135,plain,( 17.79/17.99 spl27_618 | spl27_620 | spl27_615), 17.79/17.99 inference(avatar_split_clause,[],[f3122,f3110,f3133,f3130])). 17.79/17.99 tff(f3137,plain,( 17.79/17.99 spl27_622 <=> $less(1,sK10(sK21(0,sK0)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_622])])). 17.79/17.99 tff(f3139,plain,( 17.79/17.99 spl27_618 | spl27_622 | spl27_615), 17.79/17.99 inference(avatar_split_clause,[],[f3123,f3110,f3137,f3130])). 17.79/17.99 tff(f3141,plain,( 17.79/17.99 spl27_624 <=> $less(1,$product(sK9(sK21(0,sK0)),sK9(sK21(0,sK0))))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_624])])). 17.79/17.99 tff(f3143,plain,( 17.79/17.99 spl27_618 | spl27_624 | spl27_615), 17.79/17.99 inference(avatar_split_clause,[],[f3124,f3110,f3141,f3130])). 17.79/17.99 tff(f3161,plain,( 17.79/17.99 $less(2,0) | mod2(2,sK21(2,sK0)) = 2 | ~spl27_344), 17.79/17.99 inference(resolution,[],[f1819,f551])). 17.79/17.99 tff(f3162,plain,( 17.79/17.99 $less(2,0) | div2(2,sK21(2,sK0)) = 0 | ~spl27_344), 17.79/17.99 inference(resolution,[],[f1819,f552])). 17.79/17.99 tff(f3163,plain,( 17.79/17.99 $less(sK21(2,sK0),0) | lt_nat1(2,sK21(2,sK0)) | ~spl27_344), 17.79/17.99 inference(resolution,[],[f1819,f555])). 17.79/17.99 tff(f3164,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(2) | ~$less(X1,2) | ~no_prime_in1(X1,sK21(2,sK0))) ) | ~spl27_344), 17.79/17.99 inference(resolution,[],[f1819,f556])). 17.79/17.99 tff(f3168,plain,( 17.79/17.99 div2(2,sK21(2,sK0)) = 0 | ~spl27_344), 17.79/17.99 inference(evaluation,[],[f3162])). 17.79/17.99 tff(f3169,plain,( 17.79/17.99 mod2(2,sK21(2,sK0)) = 2 | ~spl27_344), 17.79/17.99 inference(evaluation,[],[f3161])). 17.79/17.99 tff(f3171,plain,( 17.79/17.99 spl27_626 <=> mod2(2,sK21(2,sK0)) = 2), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_626])])). 17.79/17.99 tff(f3173,plain,( 17.79/17.99 spl27_626 | ~spl27_344), 17.79/17.99 inference(avatar_split_clause,[],[f3169,f1818,f3171])). 17.79/17.99 tff(f3175,plain,( 17.79/17.99 spl27_628 <=> div2(2,sK21(2,sK0)) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_628])])). 17.79/17.99 tff(f3177,plain,( 17.79/17.99 spl27_628 | ~spl27_344), 17.79/17.99 inference(avatar_split_clause,[],[f3168,f1818,f3175])). 17.79/17.99 tff(f3179,plain,( 17.79/17.99 spl27_630 <=> lt_nat1(2,sK21(2,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_630])])). 17.79/17.99 tff(f3182,plain,( 17.79/17.99 spl27_632 <=> $less(sK21(2,sK0),0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_632])])). 17.79/17.99 tff(f3184,plain,( 17.79/17.99 spl27_630 | spl27_632 | ~spl27_344), 17.79/17.99 inference(avatar_split_clause,[],[f3163,f1818,f3182,f3179])). 17.79/17.99 tff(f3186,plain,( 17.79/17.99 spl27_634 <=> ! [X1 : $int] : (~$less(X1,2) | ~no_prime_in1(X1,sK21(2,sK0)))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_634])])). 17.79/17.99 tff(f3188,plain,( 17.79/17.99 spl27_634 | ~spl27_199 | ~spl27_344), 17.79/17.99 inference(avatar_split_clause,[],[f3164,f1818,f1308,f3186])). 17.79/17.99 tff(f3200,plain,( 17.79/17.99 $less(sK21(2,sK0),0) | mod2(sK21(2,sK0),sK0) = sK21(2,sK0) | ~spl27_346), 17.79/17.99 inference(resolution,[],[f1823,f551])). 17.79/17.99 tff(f3201,plain,( 17.79/17.99 $less(sK21(2,sK0),0) | div2(sK21(2,sK0),sK0) = 0 | ~spl27_346), 17.79/17.99 inference(resolution,[],[f1823,f552])). 17.79/17.99 tff(f3202,plain,( 17.79/17.99 $less(sK0,0) | lt_nat1(sK21(2,sK0),sK0) | ~spl27_346), 17.79/17.99 inference(resolution,[],[f1823,f555])). 17.79/17.99 tff(f3203,plain,( 17.79/17.99 ( ! [X1:$int] : (~prime1(sK21(2,sK0)) | ~$less(X1,sK21(2,sK0)) | ~no_prime_in1(X1,sK0)) ) | ~spl27_346), 17.79/17.99 inference(resolution,[],[f1823,f556])). 17.79/17.99 tff(f3204,plain,( 17.79/17.99 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK21(2,sK0))))) | $less(sK21(2,sK0),0) | ~first_primes1(X2,sK0)) ) | ~spl27_346), 17.79/17.99 inference(resolution,[],[f1823,f648])). 17.79/17.99 tff(f3207,plain,( 17.79/17.99 spl27_636 <=> mod2(sK21(2,sK0),sK0) = sK21(2,sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_636])])). 17.79/17.99 tff(f3209,plain,( 17.79/17.99 spl27_636 | spl27_632 | ~spl27_346), 17.79/17.99 inference(avatar_split_clause,[],[f3200,f1822,f3182,f3207])). 17.79/17.99 tff(f3211,plain,( 17.79/17.99 spl27_638 <=> div2(sK21(2,sK0),sK0) = 0), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_638])])). 17.79/17.99 tff(f3213,plain,( 17.79/17.99 spl27_638 | spl27_632 | ~spl27_346), 17.79/17.99 inference(avatar_split_clause,[],[f3201,f1822,f3182,f3211])). 17.79/17.99 tff(f3215,plain,( 17.79/17.99 spl27_640 <=> lt_nat1(sK21(2,sK0),sK0)), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_640])])). 17.79/17.99 tff(f3217,plain,( 17.79/17.99 spl27_640 | spl27_4 | ~spl27_346), 17.79/17.99 inference(avatar_split_clause,[],[f3202,f1822,f901,f3215])). 17.79/17.99 tff(f3219,plain,( 17.79/17.99 spl27_642 <=> ! [X1 : $int] : (~$less(X1,sK21(2,sK0)) | ~no_prime_in1(X1,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_642])])). 17.79/17.99 tff(f3222,plain,( 17.79/17.99 spl27_645 <=> ~prime1(sK21(2,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_645])])). 17.79/17.99 tff(f3224,plain,( 17.79/17.99 spl27_642 | ~spl27_645 | ~spl27_346), 17.79/17.99 inference(avatar_split_clause,[],[f3203,f1822,f3222,f3219])). 17.79/17.99 tff(f3226,plain,( 17.79/17.99 spl27_646 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK21(2,sK0))))) | ~first_primes1(X2,sK0))), 17.79/17.99 introduced(avatar_definition,[new_symbols(naming,[spl27_646])])). 17.79/18.00 tff(f3228,plain,( 17.79/18.00 spl27_632 | spl27_646 | ~spl27_346), 17.79/18.00 inference(avatar_split_clause,[],[f3204,f1822,f3226,f3182])). 17.79/18.00 tff(f3236,plain,( 17.79/18.00 $less(1,0) | mod2(1,sK21(1,sK0)) = 1 | ~spl27_348), 17.79/18.00 inference(resolution,[],[f1832,f551])). 17.79/18.00 tff(f3237,plain,( 17.79/18.00 $less(1,0) | div2(1,sK21(1,sK0)) = 0 | ~spl27_348), 17.79/18.00 inference(resolution,[],[f1832,f552])). 17.79/18.00 tff(f3238,plain,( 17.79/18.00 $less(sK21(1,sK0),0) | lt_nat1(1,sK21(1,sK0)) | ~spl27_348), 17.79/18.00 inference(resolution,[],[f1832,f555])). 17.79/18.00 tff(f3243,plain,( 17.79/18.00 div2(1,sK21(1,sK0)) = 0 | ~spl27_348), 17.79/18.00 inference(evaluation,[],[f3237])). 17.79/18.00 tff(f3244,plain,( 17.79/18.00 mod2(1,sK21(1,sK0)) = 1 | ~spl27_348), 17.79/18.00 inference(evaluation,[],[f3236])). 17.79/18.00 tff(f3246,plain,( 17.79/18.00 spl27_648 <=> mod2(1,sK21(1,sK0)) = 1), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_648])])). 17.79/18.00 tff(f3248,plain,( 17.79/18.00 spl27_648 | ~spl27_348), 17.79/18.00 inference(avatar_split_clause,[],[f3244,f1831,f3246])). 17.79/18.00 tff(f3250,plain,( 17.79/18.00 spl27_650 <=> div2(1,sK21(1,sK0)) = 0), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_650])])). 17.79/18.00 tff(f3252,plain,( 17.79/18.00 spl27_650 | ~spl27_348), 17.79/18.00 inference(avatar_split_clause,[],[f3243,f1831,f3250])). 17.79/18.00 tff(f3254,plain,( 17.79/18.00 spl27_652 <=> lt_nat1(1,sK21(1,sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_652])])). 17.79/18.00 tff(f3257,plain,( 17.79/18.00 spl27_654 <=> $less(sK21(1,sK0),0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_654])])). 17.79/18.00 tff(f3259,plain,( 17.79/18.00 spl27_652 | spl27_654 | ~spl27_348), 17.79/18.00 inference(avatar_split_clause,[],[f3238,f1831,f3257,f3254])). 17.79/18.00 tff(f3266,plain,( 17.79/18.00 $less(sK21(1,sK0),0) | mod2(sK21(1,sK0),sK0) = sK21(1,sK0) | ~spl27_350), 17.79/18.00 inference(resolution,[],[f1836,f551])). 17.79/18.00 tff(f3267,plain,( 17.79/18.00 $less(sK21(1,sK0),0) | div2(sK21(1,sK0),sK0) = 0 | ~spl27_350), 17.79/18.00 inference(resolution,[],[f1836,f552])). 17.79/18.00 tff(f3268,plain,( 17.79/18.00 $less(sK0,0) | lt_nat1(sK21(1,sK0),sK0) | ~spl27_350), 17.79/18.00 inference(resolution,[],[f1836,f555])). 17.79/18.00 tff(f3269,plain,( 17.79/18.00 ( ! [X1:$int] : (~prime1(sK21(1,sK0)) | ~$less(X1,sK21(1,sK0)) | ~no_prime_in1(X1,sK0)) ) | ~spl27_350), 17.79/18.00 inference(resolution,[],[f1836,f556])). 17.79/18.00 tff(f3270,plain,( 17.79/18.00 ( ! [X2:array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK21(1,sK0))))) | $less(sK21(1,sK0),0) | ~first_primes1(X2,sK0)) ) | ~spl27_350), 17.79/18.00 inference(resolution,[],[f1836,f648])). 17.79/18.00 tff(f3273,plain,( 17.79/18.00 spl27_656 <=> mod2(sK21(1,sK0),sK0) = sK21(1,sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_656])])). 17.79/18.00 tff(f3275,plain,( 17.79/18.00 spl27_656 | spl27_654 | ~spl27_350), 17.79/18.00 inference(avatar_split_clause,[],[f3266,f1835,f3257,f3273])). 17.79/18.00 tff(f3277,plain,( 17.79/18.00 spl27_658 <=> div2(sK21(1,sK0),sK0) = 0), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_658])])). 17.79/18.00 tff(f3279,plain,( 17.79/18.00 spl27_658 | spl27_654 | ~spl27_350), 17.79/18.00 inference(avatar_split_clause,[],[f3267,f1835,f3257,f3277])). 17.79/18.00 tff(f3281,plain,( 17.79/18.00 spl27_660 <=> lt_nat1(sK21(1,sK0),sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_660])])). 17.79/18.00 tff(f3283,plain,( 17.79/18.00 spl27_660 | spl27_4 | ~spl27_350), 17.79/18.00 inference(avatar_split_clause,[],[f3268,f1835,f901,f3281])). 17.79/18.00 tff(f3285,plain,( 17.79/18.00 spl27_662 <=> ! [X1 : $int] : (~$less(X1,sK21(1,sK0)) | ~no_prime_in1(X1,sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_662])])). 17.79/18.00 tff(f3288,plain,( 17.79/18.00 spl27_665 <=> ~prime1(sK21(1,sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_665])])). 17.79/18.00 tff(f3290,plain,( 17.79/18.00 spl27_662 | ~spl27_665 | ~spl27_350), 17.79/18.00 inference(avatar_split_clause,[],[f3269,f1835,f3288,f3285])). 17.79/18.00 tff(f3292,plain,( 17.79/18.00 spl27_666 <=> ! [X2 : array_int] : (prime1(tb2t1(get(int,int,elts(int,t2tb2(X2)),t2tb1(sK21(1,sK0))))) | ~first_primes1(X2,sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_666])])). 17.79/18.00 tff(f3294,plain,( 17.79/18.00 spl27_654 | spl27_666 | ~spl27_350), 17.79/18.00 inference(avatar_split_clause,[],[f3270,f1835,f3292,f3257])). 17.79/18.00 tff(f3299,plain,( 17.79/18.00 ( ! [X4:$int] : (abs1(X4) = X4 | $less(sK0,0) | lt_nat1(X4,sK0)) ) | ~spl27_42), 17.79/18.00 inference(resolution,[],[f1825,f555])). 17.79/18.00 tff(f3312,plain,( 17.79/18.00 spl27_668 <=> ! [X4 : $int] : (abs1(X4) = X4 | lt_nat1(X4,sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_668])])). 17.79/18.00 tff(f3314,plain,( 17.79/18.00 spl27_4 | spl27_668 | ~spl27_42), 17.79/18.00 inference(avatar_split_clause,[],[f3299,f828,f3312,f901])). 17.79/18.00 tff(f3315,plain,( 17.79/18.00 $sum(1,$product(2,sK12(sK6))) = sK6 | ~spl27_60), 17.79/18.00 inference(superposition,[],[f877,f122])). 17.79/18.00 tff(f3316,plain,( 17.79/18.00 $sum(1,$product(2,sK12(sK6))) = sK6 | ~spl27_60), 17.79/18.00 inference(superposition,[],[f877,f122])). 17.79/18.00 tff(f3319,plain,( 17.79/18.00 even1(sK6) | ~odd1($product(2,sK12(sK6))) | ~spl27_60), 17.79/18.00 inference(superposition,[],[f490,f877])). 17.79/18.00 tff(f3324,plain,( 17.79/18.00 $sum(1,$product(2,sK12(sK6))) = sK6 | ~spl27_60), 17.79/18.00 inference(superposition,[],[f122,f877])). 17.79/18.00 tff(f3325,plain,( 17.79/18.00 $sum(1,$product(2,sK12(sK6))) = sK6 | ~spl27_60), 17.79/18.00 inference(superposition,[],[f122,f877])). 17.79/18.00 tff(f3330,plain,( 17.79/18.00 spl27_670 <=> $sum(1,$product(2,sK12(sK6))) = sK6), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_670])])). 17.79/18.00 tff(f3332,plain,( 17.79/18.00 spl27_670 | ~spl27_60), 17.79/18.00 inference(avatar_split_clause,[],[f3315,f876,f3330])). 17.79/18.00 tff(f3333,plain,( 17.79/18.00 spl27_670 | ~spl27_60), 17.79/18.00 inference(avatar_split_clause,[],[f3316,f876,f3330])). 17.79/18.00 tff(f3335,plain,( 17.79/18.00 spl27_673 <=> ~odd1($product(2,sK12(sK6)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_673])])). 17.79/18.00 tff(f3338,plain,( 17.79/18.00 spl27_52 <=> even1(sK6)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_52])])). 17.79/18.00 tff(f3340,plain,( 17.79/18.00 ~spl27_673 | spl27_52 | ~spl27_60), 17.79/18.00 inference(avatar_split_clause,[],[f3319,f876,f3338,f3335])). 17.79/18.00 tff(f3341,plain,( 17.79/18.00 spl27_670 | ~spl27_60), 17.79/18.00 inference(avatar_split_clause,[],[f3324,f876,f3330])). 17.79/18.00 tff(f3342,plain,( 17.79/18.00 spl27_670 | ~spl27_60), 17.79/18.00 inference(avatar_split_clause,[],[f3325,f876,f3330])). 17.79/18.00 tff(f3344,plain,( 17.79/18.00 $less(abs1(0),abs1(2)) | abs1(0) = abs1(2) | ~spl27_545), 17.79/18.00 inference(resolution,[],[f2785,f129])). 17.79/18.00 tff(f3345,plain,( 17.79/18.00 $less(abs1(0),abs1(2)) | abs1(0) = abs1(2) | ~spl27_545), 17.79/18.00 inference(resolution,[],[f2785,f129])). 17.79/18.00 tff(f3347,plain,( 17.79/18.00 spl27_674 <=> abs1(0) = abs1(2)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_674])])). 17.79/18.00 tff(f3350,plain,( 17.79/18.00 spl27_676 <=> $less(abs1(0),abs1(2))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_676])])). 17.79/18.00 tff(f3352,plain,( 17.79/18.00 spl27_674 | spl27_676 | spl27_545), 17.79/18.00 inference(avatar_split_clause,[],[f3344,f2784,f3350,f3347])). 17.79/18.00 tff(f3353,plain,( 17.79/18.00 spl27_674 | spl27_676 | spl27_545), 17.79/18.00 inference(avatar_split_clause,[],[f3345,f2784,f3350,f3347])). 17.79/18.00 tff(f3354,plain,( 17.79/18.00 $sum(1,$product(2,sK12(sK8))) = sK8 | ~spl27_142), 17.79/18.00 inference(superposition,[],[f1148,f122])). 17.79/18.00 tff(f3355,plain,( 17.79/18.00 $sum(1,$product(2,sK12(sK8))) = sK8 | ~spl27_142), 17.79/18.00 inference(superposition,[],[f1148,f122])). 17.79/18.00 tff(f3358,plain,( 17.79/18.00 even1(sK8) | ~odd1($product(2,sK12(sK8))) | ~spl27_142), 17.79/18.00 inference(superposition,[],[f490,f1148])). 17.79/18.00 tff(f3363,plain,( 17.79/18.00 $sum(1,$product(2,sK12(sK8))) = sK8 | ~spl27_142), 17.79/18.00 inference(superposition,[],[f122,f1148])). 17.79/18.00 tff(f3364,plain,( 17.79/18.00 $sum(1,$product(2,sK12(sK8))) = sK8 | ~spl27_142), 17.79/18.00 inference(superposition,[],[f122,f1148])). 17.79/18.00 tff(f3369,plain,( 17.79/18.00 spl27_678 <=> $sum(1,$product(2,sK12(sK8))) = sK8), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_678])])). 17.79/18.00 tff(f3371,plain,( 17.79/18.00 spl27_678 | ~spl27_142), 17.79/18.00 inference(avatar_split_clause,[],[f3354,f1147,f3369])). 17.79/18.00 tff(f3372,plain,( 17.79/18.00 spl27_678 | ~spl27_142), 17.79/18.00 inference(avatar_split_clause,[],[f3355,f1147,f3369])). 17.79/18.00 tff(f3374,plain,( 17.79/18.00 spl27_681 <=> ~odd1($product(2,sK12(sK8)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_681])])). 17.79/18.00 tff(f3377,plain,( 17.79/18.00 spl27_144 <=> even1(sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_144])])). 17.79/18.00 tff(f3379,plain,( 17.79/18.00 ~spl27_681 | spl27_144 | ~spl27_142), 17.79/18.00 inference(avatar_split_clause,[],[f3358,f1147,f3377,f3374])). 17.79/18.00 tff(f3380,plain,( 17.79/18.00 spl27_678 | ~spl27_142), 17.79/18.00 inference(avatar_split_clause,[],[f3363,f1147,f3369])). 17.79/18.00 tff(f3381,plain,( 17.79/18.00 spl27_678 | ~spl27_142), 17.79/18.00 inference(avatar_split_clause,[],[f3364,f1147,f3369])). 17.79/18.00 tff(f3383,plain,( 17.79/18.00 $less(abs1(0),abs1(3)) | abs1(0) = abs1(3) | ~spl27_569), 17.79/18.00 inference(resolution,[],[f2903,f129])). 17.79/18.00 tff(f3384,plain,( 17.79/18.00 $less(abs1(0),abs1(3)) | abs1(0) = abs1(3) | ~spl27_569), 17.79/18.00 inference(resolution,[],[f2903,f129])). 17.79/18.00 tff(f3386,plain,( 17.79/18.00 spl27_682 <=> abs1(0) = abs1(3)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_682])])). 17.79/18.00 tff(f3389,plain,( 17.79/18.00 spl27_684 <=> $less(abs1(0),abs1(3))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_684])])). 17.79/18.00 tff(f3391,plain,( 17.79/18.00 spl27_682 | spl27_684 | spl27_569), 17.79/18.00 inference(avatar_split_clause,[],[f3383,f2902,f3389,f3386])). 17.79/18.00 tff(f3392,plain,( 17.79/18.00 spl27_682 | spl27_684 | spl27_569), 17.79/18.00 inference(avatar_split_clause,[],[f3384,f2902,f3389,f3386])). 17.79/18.00 tff(f3396,plain,( 17.79/18.00 ( ! [X4:$int] : (~$less(X4,2) | $less(sK8,0) | lt_nat1($sum(X4,sK6),sK8)) ) | ~spl27_134), 17.79/18.00 inference(resolution,[],[f1698,f555])). 17.79/18.00 tff(f3405,plain,( 17.79/18.00 spl27_686 <=> ! [X4 : $int] : (~$less(X4,2) | lt_nat1($sum(X4,sK6),sK8))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_686])])). 17.79/18.00 tff(f3407,plain,( 17.79/18.00 spl27_368 | spl27_686 | ~spl27_134), 17.79/18.00 inference(avatar_split_clause,[],[f3396,f1120,f3405,f1934])). 17.79/18.00 tff(f3415,plain,( 17.79/18.00 ( ! [X2:$int] : (~$less(2,X2) | $less(sK8,0) | mod2(sK8,$sum(X2,sK6)) = sK8) ) | ~spl27_134), 17.79/18.00 inference(resolution,[],[f1699,f551])). 17.79/18.00 tff(f3416,plain,( 17.79/18.00 ( ! [X3:$int] : (~$less(2,X3) | $less(sK8,0) | div2(sK8,$sum(X3,sK6)) = 0) ) | ~spl27_134), 17.79/18.00 inference(resolution,[],[f1699,f552])). 17.79/18.00 tff(f3418,plain,( 17.79/18.00 ( ! [X6:$int,X5:$int] : (~$less(2,X5) | ~prime1(sK8) | ~$less(X6,sK8) | ~no_prime_in1(X6,$sum(X5,sK6))) ) | ~spl27_134), 17.79/18.00 inference(resolution,[],[f1699,f556])). 17.79/18.00 tff(f3419,plain,( 17.79/18.00 ( ! [X8:array_int,X7:$int] : (~$less(2,X7) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X8)),t2tb1(sK8)))) | $less(sK8,0) | ~first_primes1(X8,$sum(X7,sK6))) ) | ~spl27_134), 17.79/18.00 inference(resolution,[],[f1699,f648])). 17.79/18.00 tff(f3426,plain,( 17.79/18.00 spl27_688 <=> ! [X2 : $int] : (~$less(2,X2) | mod2(sK8,$sum(X2,sK6)) = sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_688])])). 17.79/18.00 tff(f3428,plain,( 17.79/18.00 spl27_368 | spl27_688 | ~spl27_134), 17.79/18.00 inference(avatar_split_clause,[],[f3415,f1120,f3426,f1934])). 17.79/18.00 tff(f3430,plain,( 17.79/18.00 spl27_690 <=> ! [X3 : $int] : (~$less(2,X3) | div2(sK8,$sum(X3,sK6)) = 0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_690])])). 17.79/18.00 tff(f3432,plain,( 17.79/18.00 spl27_368 | spl27_690 | ~spl27_134), 17.79/18.00 inference(avatar_split_clause,[],[f3416,f1120,f3430,f1934])). 17.79/18.00 tff(f3434,plain,( 17.79/18.00 spl27_692 <=> ! [X5 : $int,X6 : $int] : (~$less(2,X5) | ~$less(X6,sK8) | ~no_prime_in1(X6,$sum(X5,sK6)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_692])])). 17.79/18.00 tff(f3436,plain,( 17.79/18.00 ~spl27_377 | spl27_692 | ~spl27_134), 17.79/18.00 inference(avatar_split_clause,[],[f3418,f1120,f3434,f1962])). 17.79/18.00 tff(f3438,plain,( 17.79/18.00 spl27_694 <=> ! [X7 : $int,X8 : array_int] : (~$less(2,X7) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X8)),t2tb1(sK8)))) | ~first_primes1(X8,$sum(X7,sK6)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_694])])). 17.79/18.00 tff(f3440,plain,( 17.79/18.00 spl27_368 | spl27_694 | ~spl27_134), 17.79/18.00 inference(avatar_split_clause,[],[f3419,f1120,f3438,f1934])). 17.79/18.00 tff(f3453,plain,( 17.79/18.00 ( ! [X8:$int] : (~$less(X8,-1) | $less(sK5,0) | lt_nat1($sum(X8,sK0),sK5)) ) | ~spl27_138), 17.79/18.00 inference(resolution,[],[f1706,f555])). 17.79/18.00 tff(f3462,plain,( 17.79/18.00 spl27_696 <=> ! [X8 : $int] : (~$less(X8,-1) | lt_nat1($sum(X8,sK0),sK5))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_696])])). 17.79/18.00 tff(f3464,plain,( 17.79/18.00 spl27_10 | spl27_696 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3453,f1136,f3462,f890])). 17.79/18.00 tff(f3467,plain,( 17.79/18.00 ( ! [X3:$int] : (~$less(-1,X3) | $less(sK5,0) | mod2(sK5,$sum(X3,sK0)) = sK5) ) | ~spl27_138), 17.79/18.00 inference(resolution,[],[f1707,f551])). 17.79/18.00 tff(f3468,plain,( 17.79/18.00 ( ! [X4:$int] : (~$less(-1,X4) | $less(sK5,0) | div2(sK5,$sum(X4,sK0)) = 0) ) | ~spl27_138), 17.79/18.00 inference(resolution,[],[f1707,f552])). 17.79/18.00 tff(f3470,plain,( 17.79/18.00 ( ! [X6:$int,X7:$int] : (~$less(-1,X6) | ~prime1(sK5) | ~$less(X7,sK5) | ~no_prime_in1(X7,$sum(X6,sK0))) ) | ~spl27_138), 17.79/18.00 inference(resolution,[],[f1707,f556])). 17.79/18.00 tff(f3471,plain,( 17.79/18.00 ( ! [X8:$int,X9:array_int] : (~$less(-1,X8) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X9)),t2tb1(sK5)))) | $less(sK5,0) | ~first_primes1(X9,$sum(X8,sK0))) ) | ~spl27_138), 17.79/18.00 inference(resolution,[],[f1707,f648])). 17.79/18.00 tff(f3478,plain,( 17.79/18.00 spl27_698 <=> ! [X3 : $int] : (~$less(-1,X3) | mod2(sK5,$sum(X3,sK0)) = sK5)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_698])])). 17.79/18.00 tff(f3480,plain,( 17.79/18.00 spl27_10 | spl27_698 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3467,f1136,f3478,f890])). 17.79/18.00 tff(f3482,plain,( 17.79/18.00 spl27_700 <=> ! [X4 : $int] : (~$less(-1,X4) | div2(sK5,$sum(X4,sK0)) = 0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_700])])). 17.79/18.00 tff(f3484,plain,( 17.79/18.00 spl27_10 | spl27_700 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3468,f1136,f3482,f890])). 17.79/18.00 tff(f3486,plain,( 17.79/18.00 spl27_702 <=> ! [X7 : $int,X6 : $int] : (~$less(-1,X6) | ~$less(X7,sK5) | ~no_prime_in1(X7,$sum(X6,sK0)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_702])])). 17.79/18.00 tff(f3488,plain,( 17.79/18.00 ~spl27_71 | spl27_702 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3470,f1136,f3486,f908])). 17.79/18.00 tff(f3490,plain,( 17.79/18.00 spl27_704 <=> ! [X9 : array_int,X8 : $int] : (~$less(-1,X8) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X9)),t2tb1(sK5)))) | ~first_primes1(X9,$sum(X8,sK0)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_704])])). 17.79/18.00 tff(f3492,plain,( 17.79/18.00 spl27_10 | spl27_704 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3471,f1136,f3490,f890])). 17.79/18.00 tff(f3496,plain,( 17.79/18.00 ( ! [X4:$int] : ($less(sK0,0) | lt_nat1(mod2(X4,sK5),sK0)) ) | (~spl27_8 | ~spl27_264)), 17.79/18.00 inference(resolution,[],[f2946,f555])). 17.79/18.00 tff(f3504,plain,( 17.79/18.00 spl27_706 <=> ! [X4 : $int] : lt_nat1(mod2(X4,sK5),sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_706])])). 17.79/18.00 tff(f3506,plain,( 17.79/18.00 spl27_706 | spl27_4 | ~spl27_8 | ~spl27_264), 17.79/18.00 inference(avatar_split_clause,[],[f3496,f1513,f743,f901,f3504])). 17.79/18.00 tff(f3518,plain,( 17.79/18.00 ( ! [X4:$int] : (~$less(X4,sK6) | $less(sK8,0) | lt_nat1($sum(2,X4),sK8)) ) | ~spl27_2), 17.79/18.00 inference(resolution,[],[f1924,f555])). 17.79/18.00 tff(f3524,plain,( 17.79/18.00 $less(2,sK8) | ~$less(0,sK6) | ~spl27_2), 17.79/18.00 inference(superposition,[],[f1924,f124])). 17.79/18.00 tff(f3525,plain,( 17.79/18.00 $less(0,sK8) | ~$less($uminus(2),sK6) | ~spl27_2), 17.79/18.00 inference(superposition,[],[f1924,f126])). 17.79/18.00 tff(f3527,plain,( 17.79/18.00 $less(0,sK8) | ~$less(-2,sK6) | ~spl27_2), 17.79/18.00 inference(evaluation,[],[f3525])). 17.79/18.00 tff(f3535,plain,( 17.79/18.00 spl27_708 <=> ! [X4 : $int] : (~$less(X4,sK6) | lt_nat1($sum(2,X4),sK8))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_708])])). 17.79/18.00 tff(f3537,plain,( 17.79/18.00 spl27_368 | spl27_708 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3518,f731,f3535,f1934])). 17.79/18.00 tff(f3539,plain,( 17.79/18.00 spl27_711 <=> ~$less(0,sK6)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_711])])). 17.79/18.00 tff(f3542,plain,( 17.79/18.00 spl27_712 <=> $less(2,sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_712])])). 17.79/18.00 tff(f3543,plain,( 17.79/18.00 $less(2,sK8) | ~spl27_712), 17.79/18.00 inference(avatar_component_clause,[],[f3542])). 17.79/18.00 tff(f3544,plain,( 17.79/18.00 ~spl27_711 | spl27_712 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3524,f731,f3542,f3539])). 17.79/18.00 tff(f3546,plain,( 17.79/18.00 spl27_715 <=> ~$less(-2,sK6)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_715])])). 17.79/18.00 tff(f3549,plain,( 17.79/18.00 spl27_716 <=> $less(0,sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_716])])). 17.79/18.00 tff(f3550,plain,( 17.79/18.00 $less(0,sK8) | ~spl27_716), 17.79/18.00 inference(avatar_component_clause,[],[f3549])). 17.79/18.00 tff(f3551,plain,( 17.79/18.00 ~spl27_715 | spl27_716 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3527,f731,f3549,f3546])). 17.79/18.00 tff(f3553,plain,( 17.79/18.00 $less(2,0) | mod2(2,sK8) = 2 | ~spl27_712), 17.79/18.00 inference(resolution,[],[f3543,f551])). 17.79/18.00 tff(f3554,plain,( 17.79/18.00 $less(2,0) | div2(2,sK8) = 0 | ~spl27_712), 17.79/18.00 inference(resolution,[],[f3543,f552])). 17.79/18.00 tff(f3555,plain,( 17.79/18.00 $less(sK8,0) | lt_nat1(2,sK8) | ~spl27_712), 17.79/18.00 inference(resolution,[],[f3543,f555])). 17.79/18.00 tff(f3556,plain,( 17.79/18.00 ( ! [X1:$int] : (~prime1(2) | ~$less(X1,2) | ~no_prime_in1(X1,sK8)) ) | ~spl27_712), 17.79/18.00 inference(resolution,[],[f3543,f556])). 17.79/18.00 tff(f3560,plain,( 17.79/18.00 div2(2,sK8) = 0 | ~spl27_712), 17.79/18.00 inference(evaluation,[],[f3554])). 17.79/18.00 tff(f3561,plain,( 17.79/18.00 mod2(2,sK8) = 2 | ~spl27_712), 17.79/18.00 inference(evaluation,[],[f3553])). 17.79/18.00 tff(f3563,plain,( 17.79/18.00 spl27_718 <=> mod2(2,sK8) = 2), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_718])])). 17.79/18.00 tff(f3565,plain,( 17.79/18.00 spl27_718 | ~spl27_712), 17.79/18.00 inference(avatar_split_clause,[],[f3561,f3542,f3563])). 17.79/18.00 tff(f3567,plain,( 17.79/18.00 spl27_720 <=> div2(2,sK8) = 0), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_720])])). 17.79/18.00 tff(f3569,plain,( 17.79/18.00 spl27_720 | ~spl27_712), 17.79/18.00 inference(avatar_split_clause,[],[f3560,f3542,f3567])). 17.79/18.00 tff(f3571,plain,( 17.79/18.00 spl27_722 <=> lt_nat1(2,sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_722])])). 17.79/18.00 tff(f3573,plain,( 17.79/18.00 spl27_722 | spl27_368 | ~spl27_712), 17.79/18.00 inference(avatar_split_clause,[],[f3555,f3542,f1934,f3571])). 17.79/18.00 tff(f3575,plain,( 17.79/18.00 spl27_724 <=> ! [X1 : $int] : (~$less(X1,2) | ~no_prime_in1(X1,sK8))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_724])])). 17.79/18.00 tff(f3577,plain,( 17.79/18.00 spl27_724 | ~spl27_199 | ~spl27_712), 17.79/18.00 inference(avatar_split_clause,[],[f3556,f3542,f1308,f3575])). 17.79/18.00 tff(f3587,plain,( 17.79/18.00 $abs(sK8) = sK8 | ~spl27_716), 17.79/18.00 inference(resolution,[],[f3550,f139])). 17.79/18.00 tff(f3589,plain,( 17.79/18.00 $less(0,0) | mod2(0,sK8) = 0 | ~spl27_716), 17.79/18.00 inference(resolution,[],[f3550,f551])). 17.79/18.00 tff(f3590,plain,( 17.79/18.00 $less(0,0) | div2(0,sK8) = 0 | ~spl27_716), 17.79/18.00 inference(resolution,[],[f3550,f552])). 17.79/18.00 tff(f3591,plain,( 17.79/18.00 $less(sK8,0) | lt_nat1(0,sK8) | ~spl27_716), 17.79/18.00 inference(resolution,[],[f3550,f555])). 17.79/18.00 tff(f3596,plain,( 17.79/18.00 div2(0,sK8) = 0 | ~spl27_716), 17.79/18.00 inference(evaluation,[],[f3590])). 17.79/18.00 tff(f3597,plain,( 17.79/18.00 mod2(0,sK8) = 0 | ~spl27_716), 17.79/18.00 inference(evaluation,[],[f3589])). 17.79/18.00 tff(f3599,plain,( 17.79/18.00 spl27_726 <=> $abs(sK8) = sK8), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_726])])). 17.79/18.00 tff(f3601,plain,( 17.79/18.00 spl27_726 | ~spl27_716), 17.79/18.00 inference(avatar_split_clause,[],[f3587,f3549,f3599])). 17.79/18.00 tff(f3603,plain,( 17.79/18.00 spl27_728 <=> mod2(0,sK8) = 0), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_728])])). 17.79/18.00 tff(f3605,plain,( 17.79/18.00 spl27_728 | ~spl27_716), 17.79/18.00 inference(avatar_split_clause,[],[f3597,f3549,f3603])). 17.79/18.00 tff(f3607,plain,( 17.79/18.00 spl27_730 <=> div2(0,sK8) = 0), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_730])])). 17.79/18.00 tff(f3609,plain,( 17.79/18.00 spl27_730 | ~spl27_716), 17.79/18.00 inference(avatar_split_clause,[],[f3596,f3549,f3607])). 17.79/18.00 tff(f3611,plain,( 17.79/18.00 spl27_732 <=> lt_nat1(0,sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_732])])). 17.79/18.00 tff(f3613,plain,( 17.79/18.00 spl27_732 | spl27_368 | ~spl27_716), 17.79/18.00 inference(avatar_split_clause,[],[f3591,f3549,f1934,f3611])). 17.79/18.00 tff(f3614,plain,( 17.79/18.00 ~$less(sK6,1) | ~$less(2,sK8) | ~spl27_2), 17.79/18.00 inference(resolution,[],[f1948,f144])). 17.79/18.00 tff(f3615,plain,( 17.79/18.00 ( ! [X0:array_int] : (~$less(sK6,-1) | $less(sK8,0) | no_prime_in1(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(sK8))),tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(sK8,1))))) | ~first_primes1(X0,2)) ) | ~spl27_2), 17.79/18.00 inference(resolution,[],[f1948,f699])). 17.79/18.00 tff(f3617,plain,( 17.79/18.00 ( ! [X3:$int] : (~$less(sK6,X3) | $less(sK8,0) | mod2(sK8,$sum(2,X3)) = sK8) ) | ~spl27_2), 17.79/18.00 inference(resolution,[],[f1948,f551])). 17.79/18.00 tff(f3618,plain,( 17.79/18.00 ( ! [X4:$int] : (~$less(sK6,X4) | $less(sK8,0) | div2(sK8,$sum(2,X4)) = 0) ) | ~spl27_2), 17.79/18.00 inference(resolution,[],[f1948,f552])). 17.79/18.00 tff(f3620,plain,( 17.79/18.00 ( ! [X6:$int,X7:$int] : (~$less(sK6,X6) | ~prime1(sK8) | ~$less(X7,sK8) | ~no_prime_in1(X7,$sum(2,X6))) ) | ~spl27_2), 17.79/18.00 inference(resolution,[],[f1948,f556])). 17.79/18.00 tff(f3621,plain,( 17.79/18.00 ( ! [X8:$int,X9:array_int] : (~$less(sK6,X8) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X9)),t2tb1(sK8)))) | $less(sK8,0) | ~first_primes1(X9,$sum(2,X8))) ) | ~spl27_2), 17.79/18.00 inference(resolution,[],[f1948,f648])). 17.79/18.00 tff(f3625,plain,( 17.79/18.00 $less(sK8,2) | ~$less(sK6,0) | ~spl27_2), 17.79/18.00 inference(superposition,[],[f1948,f124])). 17.79/18.00 tff(f3626,plain,( 17.79/18.00 $less(sK8,0) | ~$less(sK6,$uminus(2)) | ~spl27_2), 17.79/18.00 inference(superposition,[],[f1948,f126])). 17.79/18.00 tff(f3628,plain,( 17.79/18.00 $less(sK8,0) | ~$less(sK6,-2) | ~spl27_2), 17.79/18.00 inference(evaluation,[],[f3626])). 17.79/18.00 tff(f3632,plain,( 17.79/18.00 spl27_713 <=> ~$less(2,sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_713])])). 17.79/18.00 tff(f3635,plain,( 17.79/18.00 spl27_735 <=> ~$less(sK6,1)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_735])])). 17.79/18.00 tff(f3636,plain,( 17.79/18.00 ~$less(sK6,1) | ~spl27_735), 17.79/18.00 inference(avatar_component_clause,[],[f3635])). 17.79/18.00 tff(f3637,plain,( 17.79/18.00 ~spl27_713 | ~spl27_735 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3614,f731,f3635,f3632])). 17.79/18.00 tff(f3638,plain,( 17.79/18.00 ( ! [X0:array_int] : (no_prime_in1(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(sK8))),tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(1,sK8))))) | ~$less(sK6,-1) | $less(sK8,0) | ~first_primes1(X0,2)) ) | ~spl27_2), 17.79/18.00 inference(forward_demodulation,[],[f3615,f122])). 17.79/18.00 tff(f3640,plain,( 17.79/18.00 spl27_737 <=> ~$less(sK6,-1)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_737])])). 17.79/18.00 tff(f3641,plain,( 17.79/18.00 ~$less(sK6,-1) | ~spl27_737), 17.79/18.00 inference(avatar_component_clause,[],[f3640])). 17.79/18.00 tff(f3643,plain,( 17.79/18.00 spl27_738 <=> ! [X0 : array_int] : (no_prime_in1(tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1(sK8))),tb2t1(get(int,int,elts(int,t2tb2(X0)),t2tb1($sum(1,sK8))))) | ~first_primes1(X0,2))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_738])])). 17.79/18.00 tff(f3645,plain,( 17.79/18.00 spl27_368 | ~spl27_737 | spl27_738 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3638,f731,f3643,f3640,f1934])). 17.79/18.00 tff(f3647,plain,( 17.79/18.00 spl27_740 <=> ! [X3 : $int] : (~$less(sK6,X3) | mod2(sK8,$sum(2,X3)) = sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_740])])). 17.79/18.00 tff(f3649,plain,( 17.79/18.00 spl27_368 | spl27_740 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3617,f731,f3647,f1934])). 17.79/18.00 tff(f3651,plain,( 17.79/18.00 spl27_742 <=> ! [X4 : $int] : (~$less(sK6,X4) | div2(sK8,$sum(2,X4)) = 0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_742])])). 17.79/18.00 tff(f3653,plain,( 17.79/18.00 spl27_368 | spl27_742 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3618,f731,f3651,f1934])). 17.79/18.00 tff(f3655,plain,( 17.79/18.00 spl27_744 <=> ! [X7 : $int,X6 : $int] : (~$less(sK6,X6) | ~$less(X7,sK8) | ~no_prime_in1(X7,$sum(2,X6)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_744])])). 17.79/18.00 tff(f3657,plain,( 17.79/18.00 ~spl27_377 | spl27_744 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3620,f731,f3655,f1962])). 17.79/18.00 tff(f3659,plain,( 17.79/18.00 spl27_746 <=> ! [X9 : array_int,X8 : $int] : (~$less(sK6,X8) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X9)),t2tb1(sK8)))) | ~first_primes1(X9,$sum(2,X8)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_746])])). 17.79/18.00 tff(f3661,plain,( 17.79/18.00 spl27_368 | spl27_746 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3621,f731,f3659,f1934])). 17.79/18.00 tff(f3663,plain,( 17.79/18.00 spl27_173 <=> ~$less(sK6,0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_173])])). 17.79/18.00 tff(f3664,plain,( 17.79/18.00 ~$less(sK6,0) | ~spl27_173), 17.79/18.00 inference(avatar_component_clause,[],[f3663])). 17.79/18.00 tff(f3665,plain,( 17.79/18.00 ~spl27_173 | spl27_382 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3625,f731,f1976,f3663])). 17.79/18.00 tff(f3667,plain,( 17.79/18.00 spl27_749 <=> ~$less(sK6,-2)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_749])])). 17.79/18.00 tff(f3668,plain,( 17.79/18.00 ~$less(sK6,-2) | ~spl27_749), 17.79/18.00 inference(avatar_component_clause,[],[f3667])). 17.79/18.00 tff(f3669,plain,( 17.79/18.00 ~spl27_749 | spl27_368 | ~spl27_2), 17.79/18.00 inference(avatar_split_clause,[],[f3628,f731,f1934,f3667])). 17.79/18.00 tff(f3680,plain,( 17.79/18.00 ~prime1(sK0) | ~divides1(0,sK0) | (~spl27_42 | ~spl27_472)), 17.79/18.00 inference(resolution,[],[f2433,f829])). 17.79/18.00 tff(f3681,plain,( 17.79/18.00 ~prime1(sK0) | ~divides1(0,sK0) | abs1(0) = 0 | (~spl27_42 | ~spl27_472)), 17.79/18.00 inference(resolution,[],[f2433,f1825])). 17.79/18.00 tff(f3682,plain,( 17.79/18.00 ~prime1(sK5) | ~divides1(0,sK5) | (~spl27_78 | ~spl27_472)), 17.79/18.00 inference(resolution,[],[f2433,f927])). 17.79/18.00 tff(f3683,plain,( 17.79/18.00 ~prime1(sK8) | ~divides1(0,sK8) | (~spl27_472 | ~spl27_716)), 17.79/18.00 inference(resolution,[],[f2433,f3550])). 17.79/18.00 tff(f3684,plain,( 17.79/18.00 ~prime1(sK21(0,sK0)) | ~divides1(0,sK21(0,sK0)) | (~spl27_336 | ~spl27_472)), 17.79/18.00 inference(resolution,[],[f2433,f1795])). 17.79/18.00 tff(f3692,plain,( 17.79/18.00 spl27_751 <=> ~divides1(0,sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_751])])). 17.79/18.00 tff(f3694,plain,( 17.79/18.00 ~spl27_751 | ~spl27_359 | ~spl27_42 | ~spl27_472), 17.79/18.00 inference(avatar_split_clause,[],[f3680,f2432,f828,f1887,f3692])). 17.79/18.00 tff(f3696,plain,( 17.79/18.00 spl27_752 <=> abs1(0) = 0), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_752])])). 17.79/18.00 tff(f3698,plain,( 17.79/18.00 spl27_752 | ~spl27_751 | ~spl27_359 | ~spl27_42 | ~spl27_472), 17.79/18.00 inference(avatar_split_clause,[],[f3681,f2432,f828,f1887,f3692,f3696])). 17.79/18.00 tff(f3700,plain,( 17.79/18.00 spl27_755 <=> ~divides1(0,sK5)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_755])])). 17.79/18.00 tff(f3702,plain,( 17.79/18.00 ~spl27_755 | ~spl27_71 | ~spl27_78 | ~spl27_472), 17.79/18.00 inference(avatar_split_clause,[],[f3682,f2432,f926,f908,f3700])). 17.79/18.00 tff(f3704,plain,( 17.79/18.00 spl27_757 <=> ~divides1(0,sK8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_757])])). 17.79/18.00 tff(f3706,plain,( 17.79/18.00 ~spl27_757 | ~spl27_377 | ~spl27_472 | ~spl27_716), 17.79/18.00 inference(avatar_split_clause,[],[f3683,f3549,f2432,f1962,f3704])). 17.79/18.00 tff(f3708,plain,( 17.79/18.00 spl27_759 <=> ~divides1(0,sK21(0,sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_759])])). 17.79/18.00 tff(f3710,plain,( 17.79/18.00 ~spl27_759 | ~spl27_615 | ~spl27_336 | ~spl27_472), 17.79/18.00 inference(avatar_split_clause,[],[f3684,f2432,f1794,f3110,f3708])). 17.79/18.00 tff(f3711,plain,( 17.79/18.00 $less(1,sK6) | 1 = sK6 | ~spl27_735), 17.79/18.00 inference(resolution,[],[f3636,f129])). 17.79/18.00 tff(f3712,plain,( 17.79/18.00 $less(1,sK6) | 1 = sK6 | ~spl27_735), 17.79/18.00 inference(resolution,[],[f3636,f129])). 17.79/18.00 tff(f3714,plain,( 17.79/18.00 spl27_760 <=> 1 = sK6), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_760])])). 17.79/18.00 tff(f3717,plain,( 17.79/18.00 spl27_762 <=> $less(1,sK6)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_762])])). 17.79/18.00 tff(f3719,plain,( 17.79/18.00 spl27_760 | spl27_762 | spl27_735), 17.79/18.00 inference(avatar_split_clause,[],[f3711,f3635,f3717,f3714])). 17.79/18.00 tff(f3720,plain,( 17.79/18.00 spl27_760 | spl27_762 | spl27_735), 17.79/18.00 inference(avatar_split_clause,[],[f3712,f3635,f3717,f3714])). 17.79/18.00 tff(f3724,plain,( 17.79/18.00 $sum(2,0) = $sum(sK8,$uminus(sK6)) | ~spl27_134), 17.79/18.00 inference(superposition,[],[f1697,f126])). 17.79/18.00 tff(f3734,plain,( 17.79/18.00 2 = $sum(sK8,$uminus(sK6)) | ~spl27_134), 17.79/18.00 inference(evaluation,[],[f3724])). 17.79/18.00 tff(f3737,plain,( 17.79/18.00 spl27_764 <=> 2 = $sum(sK8,$uminus(sK6))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_764])])). 17.79/18.00 tff(f3739,plain,( 17.79/18.00 spl27_764 | ~spl27_134), 17.79/18.00 inference(avatar_split_clause,[],[f3734,f1120,f3737])). 17.79/18.00 tff(f3742,plain,( 17.79/18.00 $less(-1,sK6) | sK6 = -1 | ~spl27_737), 17.79/18.00 inference(resolution,[],[f3641,f129])). 17.79/18.00 tff(f3743,plain,( 17.79/18.00 $less(-1,sK6) | sK6 = -1 | ~spl27_737), 17.79/18.00 inference(resolution,[],[f3641,f129])). 17.79/18.00 tff(f3745,plain,( 17.79/18.00 spl27_766 <=> sK6 = -1), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_766])])). 17.79/18.00 tff(f3748,plain,( 17.79/18.00 spl27_768 <=> $less(-1,sK6)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_768])])). 17.79/18.00 tff(f3750,plain,( 17.79/18.00 spl27_766 | spl27_768 | spl27_737), 17.79/18.00 inference(avatar_split_clause,[],[f3742,f3640,f3748,f3745])). 17.79/18.00 tff(f3751,plain,( 17.79/18.00 spl27_766 | spl27_768 | spl27_737), 17.79/18.00 inference(avatar_split_clause,[],[f3743,f3640,f3748,f3745])). 17.79/18.00 tff(f3752,plain,( 17.79/18.00 ~divides1(-1,sK0) | divides1(-1,sK5) | ~spl27_138), 17.79/18.00 inference(resolution,[],[f1704,f457])). 17.79/18.00 tff(f3754,plain,( 17.79/18.00 ~divides1(2,sK0) | divides1(2,sK5) | ~even1(-1) | ~spl27_138), 17.79/18.00 inference(resolution,[],[f1704,f501])). 17.79/18.00 tff(f3755,plain,( 17.79/18.00 ~divides1(2,sK0) | divides1(2,sK5) | odd1(-1) | ~spl27_138), 17.79/18.00 inference(resolution,[],[f1704,f499])). 17.79/18.00 tff(f3760,plain,( 17.79/18.00 spl27_770 <=> divides1(-1,sK5)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_770])])). 17.79/18.00 tff(f3763,plain,( 17.79/18.00 spl27_773 <=> ~divides1(-1,sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_773])])). 17.79/18.00 tff(f3765,plain,( 17.79/18.00 spl27_770 | ~spl27_773 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3752,f1136,f3763,f3760])). 17.79/18.00 tff(f3767,plain,( 17.79/18.00 spl27_775 <=> ~even1(-1)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_775])])). 17.79/18.00 tff(f3770,plain,( 17.79/18.00 spl27_776 <=> divides1(2,sK5)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_776])])). 17.79/18.00 tff(f3773,plain,( 17.79/18.00 spl27_779 <=> ~divides1(2,sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_779])])). 17.79/18.00 tff(f3774,plain,( 17.79/18.00 ~divides1(2,sK0) | ~spl27_779), 17.79/18.00 inference(avatar_component_clause,[],[f3773])). 17.79/18.00 tff(f3775,plain,( 17.79/18.00 ~spl27_775 | spl27_776 | ~spl27_779 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3754,f1136,f3773,f3770,f3767])). 17.79/18.00 tff(f3777,plain,( 17.79/18.00 spl27_780 <=> odd1(-1)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_780])])). 17.79/18.00 tff(f3779,plain,( 17.79/18.00 spl27_780 | spl27_776 | ~spl27_779 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3755,f1136,f3773,f3770,f3777])). 17.79/18.00 tff(f3784,plain,( 17.79/18.00 abs1(sK6) = sK6 | ~spl27_173), 17.79/18.00 inference(resolution,[],[f3664,f479])). 17.79/18.00 tff(f3785,plain,( 17.79/18.00 $less(0,sK6) | 0 = sK6 | ~spl27_173), 17.79/18.00 inference(resolution,[],[f3664,f129])). 17.79/18.00 tff(f3786,plain,( 17.79/18.00 $less(0,sK6) | 0 = sK6 | ~spl27_173), 17.79/18.00 inference(resolution,[],[f3664,f129])). 17.79/18.00 tff(f3790,plain,( 17.79/18.00 spl27_782 <=> abs1(sK6) = sK6), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_782])])). 17.79/18.00 tff(f3792,plain,( 17.79/18.00 spl27_782 | spl27_173), 17.79/18.00 inference(avatar_split_clause,[],[f3784,f3663,f3790])). 17.79/18.00 tff(f3794,plain,( 17.79/18.00 spl27_710 <=> $less(0,sK6)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_710])])). 17.79/18.00 tff(f3796,plain,( 17.79/18.00 spl27_436 | spl27_710 | spl27_173), 17.79/18.00 inference(avatar_split_clause,[],[f3785,f3663,f3794,f2221])). 17.79/18.00 tff(f3797,plain,( 17.79/18.00 spl27_436 | spl27_710 | spl27_173), 17.79/18.00 inference(avatar_split_clause,[],[f3786,f3663,f3794,f2221])). 17.79/18.00 tff(f3801,plain,( 17.79/18.00 $sum(-1,0) = $sum(sK5,$uminus(sK0)) | ~spl27_138), 17.79/18.00 inference(superposition,[],[f1705,f126])). 17.79/18.00 tff(f3806,plain,( 17.79/18.00 $sum(sK5,$uminus(sK0)) = -1 | ~spl27_138), 17.79/18.00 inference(evaluation,[],[f3801])). 17.79/18.00 tff(f3809,plain,( 17.79/18.00 spl27_784 <=> $sum(sK5,$uminus(sK0)) = -1), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_784])])). 17.79/18.00 tff(f3811,plain,( 17.79/18.00 spl27_784 | ~spl27_138), 17.79/18.00 inference(avatar_split_clause,[],[f3806,f1136,f3809])). 17.79/18.00 tff(f3814,plain,( 17.79/18.00 $less(-2,sK6) | sK6 = -2 | ~spl27_749), 17.79/18.00 inference(resolution,[],[f3668,f129])). 17.79/18.00 tff(f3815,plain,( 17.79/18.00 $less(-2,sK6) | sK6 = -2 | ~spl27_749), 17.79/18.00 inference(resolution,[],[f3668,f129])). 17.79/18.00 tff(f3817,plain,( 17.79/18.00 spl27_786 <=> sK6 = -2), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_786])])). 17.79/18.00 tff(f3820,plain,( 17.79/18.00 spl27_714 <=> $less(-2,sK6)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_714])])). 17.79/18.00 tff(f3822,plain,( 17.79/18.00 spl27_786 | spl27_714 | spl27_749), 17.79/18.00 inference(avatar_split_clause,[],[f3814,f3667,f3820,f3817])). 17.79/18.00 tff(f3823,plain,( 17.79/18.00 spl27_786 | spl27_714 | spl27_749), 17.79/18.00 inference(avatar_split_clause,[],[f3815,f3667,f3820,f3817])). 17.79/18.00 tff(f3832,plain,( 17.79/18.00 ( ! [X5:$int] : ($less(X5,sK0) | sK5 = X5 | $less(sK5,0) | mod2(sK5,X5) = sK5) ) | ~spl27_8), 17.79/18.00 inference(resolution,[],[f1745,f551])). 17.79/18.00 tff(f3833,plain,( 17.79/18.00 ( ! [X6:$int] : ($less(X6,sK0) | sK5 = X6 | $less(sK5,0) | div2(sK5,X6) = 0) ) | ~spl27_8), 17.79/18.00 inference(resolution,[],[f1745,f552])). 17.79/18.00 tff(f3835,plain,( 17.79/18.00 ( ! [X8:$int,X9:$int] : ($less(X8,sK0) | sK5 = X8 | ~prime1(sK5) | ~$less(X9,sK5) | ~no_prime_in1(X9,X8)) ) | ~spl27_8), 17.79/18.00 inference(resolution,[],[f1745,f556])). 17.79/18.00 tff(f3836,plain,( 17.79/18.00 ( ! [X10:$int,X11:array_int] : ($less(X10,sK0) | sK5 = X10 | prime1(tb2t1(get(int,int,elts(int,t2tb2(X11)),t2tb1(sK5)))) | $less(sK5,0) | ~first_primes1(X11,X10)) ) | ~spl27_8), 17.79/18.00 inference(resolution,[],[f1745,f648])). 17.79/18.00 tff(f3871,plain,( 17.79/18.00 ( ! [X4:$int] : ($less(sK5,X4) | sK5 = X4 | $less(sK0,0) | lt_nat1(X4,sK0)) ) | ~spl27_8), 17.79/18.00 inference(resolution,[],[f1745,f555])). 17.79/18.00 tff(f3886,plain,( 17.79/18.00 spl27_788 <=> ! [X5 : $int] : ($less(X5,sK0) | mod2(sK5,X5) = sK5 | sK5 = X5)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_788])])). 17.79/18.00 tff(f3888,plain,( 17.79/18.00 spl27_10 | spl27_788 | ~spl27_8), 17.79/18.00 inference(avatar_split_clause,[],[f3832,f743,f3886,f890])). 17.79/18.00 tff(f3890,plain,( 17.79/18.00 spl27_790 <=> ! [X6 : $int] : ($less(X6,sK0) | div2(sK5,X6) = 0 | sK5 = X6)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_790])])). 17.79/18.00 tff(f3892,plain,( 17.79/18.00 spl27_10 | spl27_790 | ~spl27_8), 17.79/18.00 inference(avatar_split_clause,[],[f3833,f743,f3890,f890])). 17.79/18.00 tff(f3894,plain,( 17.79/18.00 spl27_792 <=> ! [X9 : $int,X8 : $int] : ($less(X8,sK0) | ~$less(X9,sK5) | ~no_prime_in1(X9,X8) | sK5 = X8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_792])])). 17.79/18.00 tff(f3896,plain,( 17.79/18.00 ~spl27_71 | spl27_792 | ~spl27_8), 17.79/18.00 inference(avatar_split_clause,[],[f3835,f743,f3894,f908])). 17.79/18.00 tff(f3898,plain,( 17.79/18.00 spl27_794 <=> ! [X11 : array_int,X10 : $int] : ($less(X10,sK0) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X11)),t2tb1(sK5)))) | ~first_primes1(X11,X10) | sK5 = X10)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_794])])). 17.79/18.00 tff(f3900,plain,( 17.79/18.00 spl27_10 | spl27_794 | ~spl27_8), 17.79/18.00 inference(avatar_split_clause,[],[f3836,f743,f3898,f890])). 17.79/18.00 tff(f3902,plain,( 17.79/18.00 spl27_796 <=> ! [X4 : $int] : ($less(sK5,X4) | lt_nat1(X4,sK0) | sK5 = X4)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_796])])). 17.79/18.00 tff(f3904,plain,( 17.79/18.00 spl27_4 | spl27_796 | ~spl27_8), 17.79/18.00 inference(avatar_split_clause,[],[f3871,f743,f3902,f901])). 17.79/18.00 tff(f3952,plain,( 17.79/18.00 ( ! [X8:$int] : ($less(1,X8) | 1 = X8 | $less(sK5,0) | lt_nat1(X8,sK5)) ) | ~spl27_18), 17.79/18.00 inference(resolution,[],[f1802,f555])). 17.79/18.00 tff(f3984,plain,( 17.79/18.00 spl27_798 <=> ! [X8 : $int] : ($less(1,X8) | lt_nat1(X8,sK5) | 1 = X8)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_798])])). 17.79/18.00 tff(f3986,plain,( 17.79/18.00 spl27_10 | spl27_798 | ~spl27_18), 17.79/18.00 inference(avatar_split_clause,[],[f3952,f766,f3984,f890])). 17.79/18.00 tff(f4029,plain,( 17.79/18.00 ( ! [X4:$int] : ($less(1,X4) | 1 = X4 | $less(sK0,0) | lt_nat1(X4,sK0)) ) | ~spl27_38), 17.79/18.00 inference(resolution,[],[f1809,f555])). 17.79/18.00 tff(f4058,plain,( 17.79/18.00 spl27_800 <=> ! [X4 : $int] : ($less(1,X4) | lt_nat1(X4,sK0) | 1 = X4)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_800])])). 17.79/18.00 tff(f4060,plain,( 17.79/18.00 spl27_4 | spl27_800 | ~spl27_38), 17.79/18.00 inference(avatar_split_clause,[],[f4029,f819,f4058,f901])). 17.79/18.00 tff(f4110,plain,( 17.79/18.00 ( ! [X4:$int] : ($less(0,X4) | 0 = X4 | $less(sK0,0) | lt_nat1(X4,sK0)) ) | ~spl27_42), 17.79/18.00 inference(resolution,[],[f1826,f555])). 17.79/18.00 tff(f4127,plain,( 17.79/18.00 spl27_802 <=> ! [X4 : $int] : ($less(0,X4) | lt_nat1(X4,sK0) | 0 = X4)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_802])])). 17.79/18.00 tff(f4129,plain,( 17.79/18.00 spl27_4 | spl27_802 | ~spl27_42), 17.79/18.00 inference(avatar_split_clause,[],[f4110,f828,f4127,f901])). 17.79/18.00 tff(f4130,plain,( 17.79/18.00 ~even1(sK0) | ~spl27_779), 17.79/18.00 inference(resolution,[],[f3774,f501])). 17.79/18.00 tff(f4131,plain,( 17.79/18.00 odd1(sK0) | ~spl27_779), 17.79/18.00 inference(resolution,[],[f3774,f499])). 17.79/18.00 tff(f4133,plain,( 17.79/18.00 spl27_805 <=> ~even1(sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_805])])). 17.79/18.00 tff(f4135,plain,( 17.79/18.00 ~spl27_805 | spl27_779), 17.79/18.00 inference(avatar_split_clause,[],[f4130,f3773,f4133])). 17.79/18.00 tff(f4137,plain,( 17.79/18.00 spl27_806 <=> odd1(sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_806])])). 17.79/18.00 tff(f4138,plain,( 17.79/18.00 odd1(sK0) | ~spl27_806), 17.79/18.00 inference(avatar_component_clause,[],[f4137])). 17.79/18.00 tff(f4139,plain,( 17.79/18.00 spl27_806 | spl27_779), 17.79/18.00 inference(avatar_split_clause,[],[f4131,f3773,f4137])). 17.79/18.00 tff(f4140,plain,( 17.79/18.00 ( ! [X0:$int] : ($less($product(X0,sK12(sK3)),sK3) | $less(sK12(sK3),0) | $less(2,X0)) ) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f626])). 17.79/18.00 tff(f4141,plain,( 17.79/18.00 $less($product(2,sK12(sK3)),sK3) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f127])). 17.79/18.00 tff(f4143,plain,( 17.79/18.00 ( ! [X3:$int] : ($less(X3,sK3) | $less($product(2,sK12(sK3)),0) | mod2($product(2,sK12(sK3)),X3) = $product(2,sK12(sK3))) ) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f551])). 17.79/18.00 tff(f4144,plain,( 17.79/18.00 ( ! [X4:$int] : ($less(X4,sK3) | $less($product(2,sK12(sK3)),0) | div2($product(2,sK12(sK3)),X4) = 0) ) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f552])). 17.79/18.00 tff(f4146,plain,( 17.79/18.00 ( ! [X6:$int,X7:$int] : ($less(X6,sK3) | ~prime1($product(2,sK12(sK3))) | ~$less(X7,$product(2,sK12(sK3))) | ~no_prime_in1(X7,X6)) ) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f556])). 17.79/18.00 tff(f4147,plain,( 17.79/18.00 ( ! [X8:$int,X9:array_int] : ($less(X8,sK3) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X9)),t2tb1($product(2,sK12(sK3)))))) | $less($product(2,sK12(sK3)),0) | ~first_primes1(X9,X8)) ) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f648])). 17.79/18.00 tff(f4150,plain,( 17.79/18.00 ( ! [X14:$int] : ($less(div2($product(2,sK12(sK3)),X14),sK3) | ~$less(0,X14) | $less($product(2,sK12(sK3)),0)) ) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f550])). 17.79/18.00 tff(f4155,plain,( 17.79/18.00 $less(0,sK3) | $less($product(2,sK12(sK3)),sK5) | (~spl27_54 | ~spl27_78)), 17.79/18.00 inference(resolution,[],[f1844,f1189])). 17.79/18.00 tff(f4156,plain,( 17.79/18.00 $less(0,sK3) | $less($product(2,sK12(sK3)),sK0) | (~spl27_42 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1844,f1062])). 17.79/18.00 tff(f4157,plain,( 17.79/18.00 ( ! [X17:$int] : ($less(0,sK3) | ~lt_nat1(X17,$product(2,sK12(sK3)))) ) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f554])). 17.79/18.00 tff(f4158,plain,( 17.79/18.00 $less(0,sK3) | abs1($product(2,sK12(sK3))) = $uminus($product(2,sK12(sK3))) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f478])). 17.79/18.00 tff(f4159,plain,( 17.79/18.00 $less(0,sK3) | $uminus($product(2,sK12(sK3))) = $abs($product(2,sK12(sK3))) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f140])). 17.79/18.00 tff(f4160,plain,( 17.79/18.00 $less($product(sK9($product(2,sK12(sK3))),sK9($product(2,sK12(sK3)))),sK3) | prime1($product(2,sK12(sK3))) | $less($product(2,sK12(sK3)),2) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f495])). 17.79/18.00 tff(f4162,plain,( 17.79/18.00 $less(2,sK3) | ~no_prime_in1($product(2,sK12(sK3)),sK0) | (~spl27_54 | ~spl27_252)), 17.79/18.00 inference(resolution,[],[f1844,f1473])). 17.79/18.00 tff(f4163,plain,( 17.79/18.00 $less(2,sK3) | $less($product(2,sK12(sK3)),sK0) | (~spl27_54 | ~spl27_132)), 17.79/18.00 inference(resolution,[],[f1844,f1449])). 17.79/18.00 tff(f4164,plain,( 17.79/18.00 $less(2,sK3) | ~no_prime_in1($product(2,sK12(sK3)),sK5) | (~spl27_54 | ~spl27_196)), 17.79/18.00 inference(resolution,[],[f1844,f1306])). 17.79/18.00 tff(f4165,plain,( 17.79/18.00 $less(2,sK3) | $less($product(2,sK12(sK3)),sK5) | (~spl27_54 | ~spl27_88)), 17.79/18.00 inference(resolution,[],[f1844,f1282])). 17.79/18.00 tff(f4166,plain,( 17.79/18.00 $less(2,sK3) | ~prime1($product(2,sK12(sK3))) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f505])). 17.79/18.00 tff(f4168,plain,( 17.79/18.00 ( ! [X21:array_int,X20:$int] : ($less($sum(X20,-1),sK3) | $less($product(2,sK12(sK3)),0) | no_prime_in1(tb2t1(get(int,int,elts(int,t2tb2(X21)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X21)),t2tb1($sum($product(2,sK12(sK3)),1))))) | ~first_primes1(X21,X20)) ) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1844,f699])). 17.79/18.00 tff(f4169,plain,( 17.79/18.00 $less(3,sK3) | ~no_prime_in1($product(2,sK12(sK3)),sK0) | (~spl27_54 | ~spl27_206)), 17.79/18.00 inference(resolution,[],[f1844,f1343])). 17.79/18.00 tff(f4170,plain,( 17.79/18.00 $less(3,sK3) | $less($product(2,sK12(sK3)),sK0) | (~spl27_54 | ~spl27_104)), 17.79/18.00 inference(resolution,[],[f1844,f1319])). 17.79/18.00 tff(f4171,plain,( 17.79/18.00 ( ! [X22:array_int] : ($less(1,sK3) | $less(tb2t1(get(int,int,elts(int,t2tb2(X22)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X22)),t2tb1(1)))) | $less($product(2,sK12(sK3)),0) | ~first_primes1(X22,sK0)) ) | (~spl27_38 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1844,f1019])). 17.79/18.00 tff(f4172,plain,( 17.79/18.00 ( ! [X23:array_int] : ($less(1,sK3) | $less(tb2t1(get(int,int,elts(int,t2tb2(X23)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X23)),t2tb1(1)))) | $less($product(2,sK12(sK3)),0) | ~first_primes1(X23,sK5)) ) | (~spl27_18 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1844,f937])). 17.79/18.00 tff(f4173,plain,( 17.79/18.00 $less(1,sK3) | $less($product(2,sK12(sK3)),sK0) | (~spl27_38 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1844,f1013])). 17.79/18.00 tff(f4174,plain,( 17.79/18.00 $less(1,sK3) | $less($product(2,sK12(sK3)),sK5) | (~spl27_18 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1844,f931])). 17.79/18.00 tff(f4175,plain,( 17.79/18.00 ( ! [X24:array_int] : ($less(sK5,sK3) | $less(tb2t1(get(int,int,elts(int,t2tb2(X24)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X24)),t2tb1(sK5)))) | $less($product(2,sK12(sK3)),0) | ~first_primes1(X24,sK0)) ) | (~spl27_8 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1844,f885])). 17.79/18.00 tff(f4176,plain,( 17.79/18.00 $less(sK5,sK3) | ~no_prime_in1($product(2,sK12(sK3)),sK0) | (~spl27_54 | ~spl27_68)), 17.79/18.00 inference(resolution,[],[f1844,f906])). 17.79/18.00 tff(f4177,plain,( 17.79/18.00 $less(sK5,sK3) | $less($product(2,sK12(sK3)),sK0) | (~spl27_8 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1844,f879])). 17.79/18.00 tff(f4178,plain,( 17.79/18.00 $less($product(sK9($product(2,sK12(sK3))),sK9($product(2,sK12(sK3)))),sK3) | prime1($product(2,sK12(sK3))) | $less(sK12(sK3),1) | ~spl27_54), 17.79/18.00 inference(evaluation,[],[f4160])). 17.79/18.00 tff(f4180,plain,( 17.79/18.00 spl27_808 <=> $less(sK12(sK3),0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_808])])). 17.79/18.00 tff(f4183,plain,( 17.79/18.00 spl27_810 <=> ! [X0 : $int] : ($less($product(X0,sK12(sK3)),sK3) | $less(2,X0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_810])])). 17.79/18.00 tff(f4185,plain,( 17.79/18.00 spl27_808 | spl27_810 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4140,f857,f4183,f4180])). 17.79/18.00 tff(f4187,plain,( 17.79/18.00 spl27_812 <=> $less($product(2,sK12(sK3)),sK3)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_812])])). 17.79/18.00 tff(f4189,plain,( 17.79/18.00 spl27_812 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4141,f857,f4187])). 17.79/18.00 tff(f4191,plain,( 17.79/18.00 spl27_814 <=> $less($product(2,sK12(sK3)),0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_814])])). 17.79/18.00 tff(f4194,plain,( 17.79/18.00 spl27_816 <=> ! [X3 : $int] : ($less(X3,sK3) | mod2($product(2,sK12(sK3)),X3) = $product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_816])])). 17.79/18.00 tff(f4196,plain,( 17.79/18.00 spl27_814 | spl27_816 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4143,f857,f4194,f4191])). 17.79/18.00 tff(f4198,plain,( 17.79/18.00 spl27_818 <=> ! [X4 : $int] : ($less(X4,sK3) | div2($product(2,sK12(sK3)),X4) = 0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_818])])). 17.79/18.00 tff(f4200,plain,( 17.79/18.00 spl27_814 | spl27_818 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4144,f857,f4198,f4191])). 17.79/18.00 tff(f4202,plain,( 17.79/18.00 spl27_821 <=> ~prime1($product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_821])])). 17.79/18.00 tff(f4205,plain,( 17.79/18.00 spl27_822 <=> ! [X7 : $int,X6 : $int] : ($less(X6,sK3) | ~$less(X7,$product(2,sK12(sK3))) | ~no_prime_in1(X7,X6))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_822])])). 17.79/18.00 tff(f4207,plain,( 17.79/18.00 ~spl27_821 | spl27_822 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4146,f857,f4205,f4202])). 17.79/18.00 tff(f4209,plain,( 17.79/18.00 spl27_824 <=> ! [X9 : array_int,X8 : $int] : ($less(X8,sK3) | prime1(tb2t1(get(int,int,elts(int,t2tb2(X9)),t2tb1($product(2,sK12(sK3)))))) | ~first_primes1(X9,X8))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_824])])). 17.79/18.00 tff(f4211,plain,( 17.79/18.00 spl27_814 | spl27_824 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4147,f857,f4209,f4191])). 17.79/18.00 tff(f4213,plain,( 17.79/18.00 spl27_826 <=> ! [X14 : $int] : ($less(div2($product(2,sK12(sK3)),X14),sK3) | ~$less(0,X14))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_826])])). 17.79/18.00 tff(f4215,plain,( 17.79/18.00 spl27_814 | spl27_826 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4150,f857,f4213,f4191])). 17.79/18.00 tff(f4217,plain,( 17.79/18.00 spl27_828 <=> $less($product(2,sK12(sK3)),sK5)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_828])])). 17.79/18.00 tff(f4220,plain,( 17.79/18.00 spl27_482 <=> $less(0,sK3)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_482])])). 17.79/18.00 tff(f4222,plain,( 17.79/18.00 spl27_828 | spl27_482 | ~spl27_54 | ~spl27_78), 17.79/18.00 inference(avatar_split_clause,[],[f4155,f926,f857,f4220,f4217])). 17.79/18.00 tff(f4224,plain,( 17.79/18.00 spl27_830 <=> $less($product(2,sK12(sK3)),sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_830])])). 17.79/18.00 tff(f4226,plain,( 17.79/18.00 spl27_830 | spl27_482 | ~spl27_42 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4156,f857,f828,f4220,f4224])). 17.79/18.00 tff(f4228,plain,( 17.79/18.00 spl27_832 <=> ! [X17 : $int] : ~lt_nat1(X17,$product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_832])])). 17.79/18.00 tff(f4230,plain,( 17.79/18.00 spl27_832 | spl27_482 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4157,f857,f4220,f4228])). 17.79/18.00 tff(f4232,plain,( 17.79/18.00 spl27_834 <=> abs1($product(2,sK12(sK3))) = $uminus($product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_834])])). 17.79/18.00 tff(f4234,plain,( 17.79/18.00 spl27_834 | spl27_482 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4158,f857,f4220,f4232])). 17.79/18.00 tff(f4236,plain,( 17.79/18.00 spl27_836 <=> $uminus($product(2,sK12(sK3))) = $abs($product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_836])])). 17.79/18.00 tff(f4238,plain,( 17.79/18.00 spl27_836 | spl27_482 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4159,f857,f4220,f4236])). 17.79/18.00 tff(f4240,plain,( 17.79/18.00 spl27_838 <=> $less(sK12(sK3),1)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_838])])). 17.79/18.00 tff(f4243,plain,( 17.79/18.00 spl27_820 <=> prime1($product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_820])])). 17.79/18.00 tff(f4246,plain,( 17.79/18.00 spl27_840 <=> $less($product(sK9($product(2,sK12(sK3))),sK9($product(2,sK12(sK3)))),sK3)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_840])])). 17.79/18.00 tff(f4248,plain,( 17.79/18.00 spl27_838 | spl27_820 | spl27_840 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4178,f857,f4246,f4243,f4240])). 17.79/18.00 tff(f4250,plain,( 17.79/18.00 spl27_843 <=> ~no_prime_in1($product(2,sK12(sK3)),sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_843])])). 17.79/18.00 tff(f4253,plain,( 17.79/18.00 spl27_844 <=> $less(2,sK3)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_844])])). 17.79/18.00 tff(f4255,plain,( 17.79/18.00 ~spl27_843 | spl27_844 | ~spl27_54 | ~spl27_252), 17.79/18.00 inference(avatar_split_clause,[],[f4162,f1472,f857,f4253,f4250])). 17.79/18.00 tff(f4256,plain,( 17.79/18.00 spl27_830 | spl27_844 | ~spl27_54 | ~spl27_132), 17.79/18.00 inference(avatar_split_clause,[],[f4163,f1104,f857,f4253,f4224])). 17.79/18.00 tff(f4258,plain,( 17.79/18.00 spl27_847 <=> ~no_prime_in1($product(2,sK12(sK3)),sK5)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_847])])). 17.79/18.00 tff(f4260,plain,( 17.79/18.00 ~spl27_847 | spl27_844 | ~spl27_54 | ~spl27_196), 17.79/18.00 inference(avatar_split_clause,[],[f4164,f1305,f857,f4253,f4258])). 17.79/18.00 tff(f4261,plain,( 17.79/18.00 spl27_828 | spl27_844 | ~spl27_54 | ~spl27_88), 17.79/18.00 inference(avatar_split_clause,[],[f4165,f959,f857,f4253,f4217])). 17.79/18.00 tff(f4262,plain,( 17.79/18.00 ~spl27_821 | spl27_844 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4166,f857,f4253,f4202])). 17.79/18.00 tff(f4263,plain,( 17.79/18.00 ( ! [X21:array_int,X20:$int] : (no_prime_in1(tb2t1(get(int,int,elts(int,t2tb2(X21)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X21)),t2tb1(sK3)))) | $less($sum(X20,-1),sK3) | $less($product(2,sK12(sK3)),0) | ~first_primes1(X21,X20)) ) | ~spl27_54), 17.79/18.00 inference(forward_demodulation,[],[f4168,f858])). 17.79/18.00 tff(f4265,plain,( 17.79/18.00 spl27_848 <=> ! [X20 : $int,X21 : array_int] : (no_prime_in1(tb2t1(get(int,int,elts(int,t2tb2(X21)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X21)),t2tb1(sK3)))) | ~first_primes1(X21,X20) | $less($sum(X20,-1),sK3))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_848])])). 17.79/18.00 tff(f4267,plain,( 17.79/18.00 spl27_814 | spl27_848 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4263,f857,f4265,f4191])). 17.79/18.00 tff(f4269,plain,( 17.79/18.00 spl27_850 <=> $less(3,sK3)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_850])])). 17.79/18.00 tff(f4271,plain,( 17.79/18.00 ~spl27_843 | spl27_850 | ~spl27_54 | ~spl27_206), 17.79/18.00 inference(avatar_split_clause,[],[f4169,f1342,f857,f4269,f4250])). 17.79/18.00 tff(f4272,plain,( 17.79/18.00 spl27_830 | spl27_850 | ~spl27_54 | ~spl27_104), 17.79/18.00 inference(avatar_split_clause,[],[f4170,f1008,f857,f4269,f4224])). 17.79/18.00 tff(f4274,plain,( 17.79/18.00 spl27_852 <=> ! [X22 : array_int] : ($less(tb2t1(get(int,int,elts(int,t2tb2(X22)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X22)),t2tb1(1)))) | ~first_primes1(X22,sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_852])])). 17.79/18.00 tff(f4277,plain,( 17.79/18.00 spl27_498 <=> $less(1,sK3)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_498])])). 17.79/18.00 tff(f4279,plain,( 17.79/18.00 spl27_814 | spl27_852 | spl27_498 | ~spl27_38 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4171,f857,f819,f4277,f4274,f4191])). 17.79/18.00 tff(f4281,plain,( 17.79/18.00 spl27_854 <=> ! [X23 : array_int] : ($less(tb2t1(get(int,int,elts(int,t2tb2(X23)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X23)),t2tb1(1)))) | ~first_primes1(X23,sK5))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_854])])). 17.79/18.00 tff(f4283,plain,( 17.79/18.00 spl27_814 | spl27_854 | spl27_498 | ~spl27_18 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4172,f857,f766,f4277,f4281,f4191])). 17.79/18.00 tff(f4284,plain,( 17.79/18.00 spl27_830 | spl27_498 | ~spl27_38 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4173,f857,f819,f4277,f4224])). 17.79/18.00 tff(f4285,plain,( 17.79/18.00 spl27_828 | spl27_498 | ~spl27_18 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4174,f857,f766,f4277,f4217])). 17.79/18.00 tff(f4287,plain,( 17.79/18.00 spl27_856 <=> ! [X24 : array_int] : ($less(tb2t1(get(int,int,elts(int,t2tb2(X24)),t2tb1($product(2,sK12(sK3))))),tb2t1(get(int,int,elts(int,t2tb2(X24)),t2tb1(sK5)))) | ~first_primes1(X24,sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_856])])). 17.79/18.00 tff(f4290,plain,( 17.79/18.00 spl27_508 <=> $less(sK5,sK3)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_508])])). 17.79/18.00 tff(f4292,plain,( 17.79/18.00 spl27_814 | spl27_856 | spl27_508 | ~spl27_8 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4175,f857,f743,f4290,f4287,f4191])). 17.79/18.00 tff(f4293,plain,( 17.79/18.00 ~spl27_843 | spl27_508 | ~spl27_54 | ~spl27_68), 17.79/18.00 inference(avatar_split_clause,[],[f4176,f905,f857,f4290,f4250])). 17.79/18.00 tff(f4294,plain,( 17.79/18.00 spl27_830 | spl27_508 | ~spl27_8 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4177,f857,f743,f4290,f4224])). 17.79/18.00 tff(f4299,plain,( 17.79/18.00 ( ! [X4:$int] : (~$less(0,sK3) | $less(X4,0) | div2($sum($product(sK0,$product(2,sK12(sK3))),X4),sK0) = $sum($product(2,sK12(sK3)),div2(X4,sK0))) ) | (~spl27_42 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1057])). 17.79/18.00 tff(f4300,plain,( 17.79/18.00 ( ! [X5:$int] : (~$less(0,sK3) | $less(X5,0) | div2($sum($product(sK0,X5),$product(2,sK12(sK3))),sK0) = $sum(X5,div2($product(2,sK12(sK3)),sK0))) ) | (~spl27_42 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1057])). 17.79/18.00 tff(f4301,plain,( 17.79/18.00 ( ! [X6:$int] : (~$less(0,sK3) | $less(X6,0) | mod2($product(2,sK12(sK3)),sK0) = mod2($sum($product(sK0,X6),$product(2,sK12(sK3))),sK0)) ) | (~spl27_42 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1058])). 17.79/18.00 tff(f4302,plain,( 17.79/18.00 ( ! [X7:$int] : (~$less(0,sK3) | $less(X7,0) | mod2(X7,sK0) = mod2($sum($product(sK0,$product(2,sK12(sK3))),X7),sK0)) ) | (~spl27_42 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1058])). 17.79/18.00 tff(f4303,plain,( 17.79/18.00 ~$less(0,sK3) | abs1($product(2,sK12(sK3))) = $product(2,sK12(sK3)) | ~spl27_54), 17.79/18.00 inference(resolution,[],[f1845,f479])). 17.79/18.00 tff(f4306,plain,( 17.79/18.00 ~$less(sK0,sK3) | $less(0,$product(2,sK12(sK3))) | 0 = $product(2,sK12(sK3)) | (~spl27_42 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1826])). 17.79/18.00 tff(f4307,plain,( 17.79/18.00 ~$less(sK0,sK3) | $less(1,$product(2,sK12(sK3))) | $product(2,sK12(sK3)) = 1 | (~spl27_38 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1809])). 17.79/18.00 tff(f4308,plain,( 17.79/18.00 ~$less(sK0,sK3) | $less(sK5,$product(2,sK12(sK3))) | $product(2,sK12(sK3)) = sK5 | (~spl27_8 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1745])). 17.79/18.00 tff(f4309,plain,( 17.79/18.00 ~$less(sK0,sK3) | abs1($product(2,sK12(sK3))) = $product(2,sK12(sK3)) | (~spl27_42 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1825])). 17.79/18.00 tff(f4310,plain,( 17.79/18.00 ~$less(sK5,sK3) | $less(1,$product(2,sK12(sK3))) | $product(2,sK12(sK3)) = 1 | (~spl27_18 | ~spl27_54)), 17.79/18.00 inference(resolution,[],[f1845,f1802])). 17.79/18.00 tff(f4312,plain,( 17.79/18.00 spl27_858 <=> ! [X4 : $int] : ($less(X4,0) | div2($sum($product(sK0,$product(2,sK12(sK3))),X4),sK0) = $sum($product(2,sK12(sK3)),div2(X4,sK0)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_858])])). 17.79/18.00 tff(f4314,plain,( 17.79/18.00 spl27_858 | ~spl27_483 | ~spl27_42 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4299,f857,f828,f2479,f4312])). 17.79/18.00 tff(f4316,plain,( 17.79/18.00 spl27_860 <=> ! [X5 : $int] : ($less(X5,0) | div2($sum($product(sK0,X5),$product(2,sK12(sK3))),sK0) = $sum(X5,div2($product(2,sK12(sK3)),sK0)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_860])])). 17.79/18.00 tff(f4318,plain,( 17.79/18.00 spl27_860 | ~spl27_483 | ~spl27_42 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4300,f857,f828,f2479,f4316])). 17.79/18.00 tff(f4320,plain,( 17.79/18.00 spl27_862 <=> ! [X6 : $int] : ($less(X6,0) | mod2($product(2,sK12(sK3)),sK0) = mod2($sum($product(sK0,X6),$product(2,sK12(sK3))),sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_862])])). 17.79/18.00 tff(f4322,plain,( 17.79/18.00 spl27_862 | ~spl27_483 | ~spl27_42 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4301,f857,f828,f2479,f4320])). 17.79/18.00 tff(f4324,plain,( 17.79/18.00 spl27_864 <=> ! [X7 : $int] : ($less(X7,0) | mod2(X7,sK0) = mod2($sum($product(sK0,$product(2,sK12(sK3))),X7),sK0))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_864])])). 17.79/18.00 tff(f4326,plain,( 17.79/18.00 spl27_864 | ~spl27_483 | ~spl27_42 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4302,f857,f828,f2479,f4324])). 17.79/18.00 tff(f4328,plain,( 17.79/18.00 spl27_866 <=> abs1($product(2,sK12(sK3))) = $product(2,sK12(sK3))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_866])])). 17.79/18.00 tff(f4330,plain,( 17.79/18.00 spl27_866 | ~spl27_483 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4303,f857,f2479,f4328])). 17.79/18.00 tff(f4332,plain,( 17.79/18.00 spl27_868 <=> 0 = $product(2,sK12(sK3))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_868])])). 17.79/18.00 tff(f4335,plain,( 17.79/18.00 spl27_870 <=> $less(0,$product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_870])])). 17.79/18.00 tff(f4337,plain,( 17.79/18.00 spl27_868 | spl27_870 | ~spl27_505 | ~spl27_42 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4306,f857,f828,f2522,f4335,f4332])). 17.79/18.00 tff(f4339,plain,( 17.79/18.00 spl27_872 <=> $product(2,sK12(sK3)) = 1), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_872])])). 17.79/18.00 tff(f4342,plain,( 17.79/18.00 spl27_874 <=> $less(1,$product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_874])])). 17.79/18.00 tff(f4344,plain,( 17.79/18.00 spl27_872 | spl27_874 | ~spl27_505 | ~spl27_38 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4307,f857,f819,f2522,f4342,f4339])). 17.79/18.00 tff(f4346,plain,( 17.79/18.00 spl27_876 <=> $product(2,sK12(sK3)) = sK5), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_876])])). 17.79/18.00 tff(f4349,plain,( 17.79/18.00 spl27_878 <=> $less(sK5,$product(2,sK12(sK3)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_878])])). 17.79/18.00 tff(f4351,plain,( 17.79/18.00 spl27_876 | spl27_878 | ~spl27_505 | ~spl27_8 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4308,f857,f743,f2522,f4349,f4346])). 17.79/18.00 tff(f4352,plain,( 17.79/18.00 spl27_866 | ~spl27_505 | ~spl27_42 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4309,f857,f828,f2522,f4328])). 17.79/18.00 tff(f4353,plain,( 17.79/18.00 spl27_872 | spl27_874 | ~spl27_509 | ~spl27_18 | ~spl27_54), 17.79/18.00 inference(avatar_split_clause,[],[f4310,f857,f766,f2529,f4342,f4339])). 17.79/18.00 tff(f4365,plain,( 17.79/18.00 $sum($product(2,sK12(sK0)),1) = sK0 | ~spl27_806), 17.79/18.00 inference(resolution,[],[f4138,f510])). 17.79/18.00 tff(f4369,plain,( 17.79/18.00 spl27_880 <=> $sum($product(2,sK12(sK0)),1) = sK0), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_880])])). 17.79/18.00 tff(f4371,plain,( 17.79/18.00 spl27_880 | ~spl27_806), 17.79/18.00 inference(avatar_split_clause,[],[f4365,f4137,f4369])). 17.79/18.00 tff(f4374,plain,( 17.79/18.00 $remainder_e(0,sK0) = $remainder_e(sK0,sK0) | ~spl27_42), 17.79/18.00 inference(superposition,[],[f2022,f124])). 17.79/18.00 tff(f4375,plain,( 17.79/18.00 $remainder_e(0,sK0) = $remainder_e($uminus(sK0),sK0) | ~spl27_42), 17.79/18.00 inference(superposition,[],[f2022,f126])). 17.79/18.00 tff(f4377,plain,( 17.79/18.00 ( ! [X1:$int] : (0 != $remainder_e(X1,sK0) | divides1(sK0,$sum(sK0,X1)) | 0 = sK0) ) | ~spl27_42), 17.79/18.00 inference(superposition,[],[f524,f2022])). 17.79/18.00 tff(f4378,plain,( 17.79/18.00 ( ! [X2:$int] : ($sum(sK0,X2) = $sum($remainder_e(X2,sK0),$product(sK0,$quotient_e($sum(sK0,X2),sK0))) | 0 = sK0) ) | ~spl27_42), 17.79/18.00 inference(superposition,[],[f141,f2022])). 17.79/18.00 tff(f4383,plain,( 17.79/18.00 spl27_882 <=> $remainder_e(0,sK0) = $remainder_e(sK0,sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_882])])). 17.79/18.00 tff(f4385,plain,( 17.79/18.00 spl27_882 | ~spl27_42), 17.79/18.00 inference(avatar_split_clause,[],[f4374,f828,f4383])). 17.79/18.00 tff(f4387,plain,( 17.79/18.00 spl27_884 <=> $remainder_e(0,sK0) = $remainder_e($uminus(sK0),sK0)), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_884])])). 17.79/18.00 tff(f4389,plain,( 17.79/18.00 spl27_884 | ~spl27_42), 17.79/18.00 inference(avatar_split_clause,[],[f4375,f828,f4387])). 17.79/18.00 tff(f4391,plain,( 17.79/18.00 spl27_886 <=> ! [X1 : $int] : (0 != $remainder_e(X1,sK0) | divides1(sK0,$sum(sK0,X1)))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_886])])). 17.79/18.00 tff(f4393,plain,( 17.79/18.00 spl27_254 | spl27_886 | ~spl27_42), 17.79/18.00 inference(avatar_split_clause,[],[f4377,f828,f4391,f1485])). 17.79/18.00 tff(f4394,plain,( 17.79/18.00 ( ! [X2:$int] : ($sum(sK0,X2) = $sum($remainder_e(X2,sK0),$product(sK0,$sum(1,$quotient_e(X2,sK0)))) | 0 = sK0) ) | ~spl27_42), 17.79/18.00 inference(forward_demodulation,[],[f4378,f2133])). 17.79/18.00 tff(f4396,plain,( 17.79/18.00 spl27_888 <=> ! [X2 : $int] : $sum(sK0,X2) = $sum($remainder_e(X2,sK0),$product(sK0,$sum(1,$quotient_e(X2,sK0))))), 17.79/18.00 introduced(avatar_definition,[new_symbols(naming,[spl27_888])])). 17.79/18.00 tff(f4398,plain,( 17.79/18.00 spl27_254 | spl27_888 | ~spl27_42), 17.79/18.00 inference(avatar_split_clause,[],[f4394,f828,f4396,f1485])). 17.79/18.00 tff(f4402,plain,( 17.79/18.00 $false), 17.79/18.00 inference(avatar_sat_refutation,[],[f729,f733,f737,f741,f745,f749,f753,f758,f763,f764,f768,f773,f778,f782,f787,f791,f792,f794,f796,f797,f799,f803,f808,f812,f816,f817,f821,f825,f826,f830,f831,f832,f836,f845,f852,f859,f863,f864,f871,f878,f892,f896,f903,f910,f914,f921,f928,f929,f944,f948,f952,f961,f962,f972,f979,f986,f993,f997,f1001,f1010,f1011,f1030,f1035,f1042,f1048,f1052,f1056,f1075,f1079,f1083,f1087,f1094,f1106,f1107,f1122,f1123,f1130,f1131,f1132,f1141,f1142,f1149,f1153,f1154,f1162,f1172,f1178,f1183,f1202,f1206,f1210,f1214,f1229,f1233,f1240,f1247,f1252,f1264,f1268,f1275,f1280,f1295,f1299,f1303,f1310,f1312,f1316,f1332,f1336,f1340,f1347,f1349,f1353,f1361,f1365,f1374,f1379,f1385,f1389,f1401,f1405,f1412,f1419,f1423,f1433,f1437,f1441,f1446,f1462,f1466,f1470,f1474,f1490,f1494,f1498,f1511,f1515,f1519,f1528,f1542,f1547,f1566,f1578,f1594,f1610,f1621,f1638,f1642,f1646,f1653,f1657,f1678,f1682,f1686,f1723,f1725,f1729,f1736,f1740,f1750,f1760,f1764,f1768,f1778,f1782,f1786,f1790,f1796,f1800,f1807,f1814,f1820,f1824,f1833,f1837,f1855,f1856,f1863,f1864,f1865,f1879,f1892,f1902,f1906,f1910,f1939,f1956,f1960,f1967,f1971,f1981,f1985,f1989,f2003,f2018,f2040,f2045,f2050,f2063,f2067,f2071,f2088,f2093,f2097,f2118,f2123,f2127,f2147,f2160,f2169,f2173,f2189,f2193,f2207,f2226,f2249,f2263,f2268,f2289,f2293,f2297,f2304,f2308,f2325,f2329,f2333,f2351,f2437,f2446,f2472,f2476,f2484,f2489,f2494,f2499,f2503,f2507,f2514,f2524,f2531,f2537,f2541,f2637,f2645,f2667,f2671,f2675,f2702,f2706,f2732,f2736,f2740,f2747,f2752,f2786,f2801,f2820,f2846,f2853,f2863,f2887,f2891,f2904,f2943,f2960,f2973,f2974,f2987,f2988,f2989,f2990,f3000,f3001,f3029,f3033,f3037,f3044,f3056,f3060,f3066,f3070,f3079,f3083,f3097,f3101,f3105,f3112,f3116,f3128,f3135,f3139,f3143,f3173,f3177,f3184,f3188,f3209,f3213,f3217,f3224,f3228,f3248,f3252,f3259,f3275,f3279,f3283,f3290,f3294,f3314,f3332,f3333,f3340,f3341,f3342,f3352,f3353,f3371,f3372,f3379,f3380,f3381,f3391,f3392,f3407,f3428,f3432,f3436,f3440,f3464,f3480,f3484,f3488,f3492,f3506,f3537,f3544,f3551,f3565,f3569,f3573,f3577,f3601,f3605,f3609,f3613,f3637,f3645,f3649,f3653,f3657,f3661,f3665,f3669,f3694,f3698,f3702,f3706,f3710,f3719,f3720,f3739,f3750,f3751,f3765,f3775,f3779,f3792,f3796,f3797,f3811,f3822,f3823,f3888,f3892,f3896,f3900,f3904,f3986,f4060,f4129,f4135,f4139,f4185,f4189,f4196,f4200,f4207,f4211,f4215,f4222,f4226,f4230,f4234,f4238,f4248,f4255,f4256,f4260,f4261,f4262,f4267,f4271,f4272,f4279,f4283,f4284,f4285,f4292,f4293,f4294,f4314,f4318,f4322,f4326,f4330,f4337,f4344,f4351,f4352,f4353,f4371,f4385,f4389,f4393,f4398])). 17.79/18.00 % SZS output end Proof for theBenchmark 17.79/18.00 % ------------------------------ 17.79/18.00 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.79/18.00 % Termination reason: Refutation 17.79/18.00 17.79/18.00 % Memory used [KB]: 3582 17.79/18.00 % Time elapsed: 0.296 s 17.79/18.00 % ------------------------------ 17.79/18.00 % ------------------------------ 17.79/18.00 % Success in time 17.645 s 17.79/18.00 EOF