0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.23 % Computer : n132.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:54:55 CDT 2018 0.02/0.24 % CPUTime : 0.02/0.27 % 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 0.51/0.77 % Time limit reached! 0.51/0.77 % ------------------------------ 0.51/0.77 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.51/0.77 % Termination reason: Time limit 0.51/0.77 % Termination phase: Saturation 0.51/0.77 0.51/0.77 % Memory used [KB]: 6780 0.51/0.77 % Time elapsed: 0.500 s 0.51/0.77 % ------------------------------ 0.51/0.77 % ------------------------------ 0.59/0.81 % 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 2.21/2.41 % Time limit reached! 2.21/2.41 % ------------------------------ 2.21/2.41 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.21/2.41 % Termination reason: Time limit 2.21/2.41 % Termination phase: Saturation 2.21/2.41 2.21/2.41 % Memory used [KB]: 10490 2.21/2.41 % Time elapsed: 1.600 s 2.21/2.41 % ------------------------------ 2.21/2.41 % ------------------------------ 2.21/2.44 % 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 3.20/3.44 % Time limit reached! 3.20/3.44 % ------------------------------ 3.20/3.44 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.20/3.44 % Termination reason: Time limit 3.20/3.44 % Termination phase: Saturation 3.20/3.44 3.20/3.44 % Memory used [KB]: 6524 3.20/3.44 % Time elapsed: 1.0000 s 3.20/3.44 % ------------------------------ 3.20/3.44 % ------------------------------ 3.20/3.48 % 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 13.07/13.28 % Time limit reached! 13.07/13.28 % ------------------------------ 13.07/13.28 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.07/13.28 % Termination reason: Time limit 13.07/13.28 % Termination phase: Saturation 13.07/13.28 13.07/13.28 % Memory used [KB]: 38762 13.07/13.28 % Time elapsed: 9.800 s 13.07/13.28 % ------------------------------ 13.07/13.28 % ------------------------------ 13.15/13.31 % 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 14.78/14.91 % Time limit reached! 14.78/14.91 % ------------------------------ 14.78/14.91 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 14.78/14.91 % Termination reason: Time limit 14.78/14.91 % Termination phase: Saturation 14.78/14.91 14.78/14.91 % Memory used [KB]: 38890 14.78/14.91 % Time elapsed: 1.600 s 14.78/14.91 % ------------------------------ 14.78/14.91 % ------------------------------ 14.80/14.95 % 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 15.55/15.69 % Refutation found. Thanks to Tanya! 15.55/15.69 % SZS status Theorem for theBenchmark 15.55/15.69 % SZS output start Proof for theBenchmark 15.55/15.69 tff(type_def_5, type, uni: $tType). 15.55/15.69 tff(type_def_6, type, ty: $tType). 15.55/15.69 tff(type_def_7, type, bool1: $tType). 15.55/15.69 tff(type_def_8, type, tuple02: $tType). 15.55/15.69 tff(type_def_9, type, lpintcm_intcm_intrp: $tType). 15.55/15.69 tff(func_def_0, type, witness1: ty > uni). 15.55/15.69 tff(func_def_1, type, int: ty). 15.55/15.69 tff(func_def_2, type, real: ty). 15.55/15.69 tff(func_def_3, type, bool: ty). 15.55/15.69 tff(func_def_4, type, true1: bool1). 15.55/15.69 tff(func_def_5, type, false1: bool1). 15.55/15.69 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 15.55/15.69 tff(func_def_7, type, tuple0: ty). 15.55/15.69 tff(func_def_8, type, tuple03: tuple02). 15.55/15.69 tff(func_def_9, type, qtmark: ty). 15.55/15.69 tff(func_def_10, type, ref: ty > ty). 15.55/15.69 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 15.55/15.69 tff(func_def_12, type, contents: (ty * uni) > uni). 15.55/15.69 tff(func_def_13, type, abs1: $int > $int). 15.55/15.69 tff(func_def_14, type, power1: ($int * $int) > $int). 15.55/15.69 tff(func_def_15, type, sum_digits1: $int > $int). 15.55/15.69 tff(func_def_16, type, tuple3: (ty * ty * ty) > ty). 15.55/15.69 tff(func_def_17, type, tuple31: (ty * ty * ty * uni * uni * uni) > uni). 15.55/15.69 tff(func_def_18, type, tuple3_proj_11: (ty * ty * ty * uni) > uni). 15.55/15.69 tff(func_def_19, type, tuple3_proj_21: (ty * ty * ty * uni) > uni). 15.55/15.69 tff(func_def_20, type, tuple3_proj_31: (ty * ty * ty * uni) > uni). 15.55/15.69 tff(func_def_21, type, t2tb: lpintcm_intcm_intrp > uni). 15.55/15.69 tff(func_def_22, type, tb2t: uni > lpintcm_intcm_intrp). 15.55/15.69 tff(func_def_23, type, t2tb1: $int > uni). 15.55/15.69 tff(func_def_24, type, tb2t1: uni > $int). 15.55/15.69 tff(func_def_25, type, num_of1: (lpintcm_intcm_intrp * $int * $int) > $int). 15.55/15.69 tff(func_def_26, type, solution1: ($int * $int * $int) > $int). 15.55/15.69 tff(func_def_27, type, num_of_modc1: (lpintcm_intcm_intrp * $int * $int) > $int). 15.55/15.69 tff(func_def_28, type, div2: ($int * $int) > $int). 15.55/15.69 tff(func_def_29, type, mod2: ($int * $int) > $int). 15.55/15.69 tff(func_def_41, type, sK0: $int). 15.55/15.69 tff(func_def_42, type, sK1: $int). 15.55/15.69 tff(func_def_43, type, sK2: $int). 15.55/15.69 tff(func_def_44, type, sK3: $int). 15.55/15.69 tff(func_def_45, type, sK4: $int). 15.55/15.69 tff(func_def_46, type, sK5: $int). 15.55/15.69 tff(func_def_47, type, sK6: (lpintcm_intcm_intrp * $int * $int) > $int). 15.55/15.69 tff(func_def_48, type, sK7: (lpintcm_intcm_intrp * $int * $int) > $int). 15.55/15.69 tff(func_def_49, type, sK8: (lpintcm_intcm_intrp * lpintcm_intcm_intrp * $int * $int) > $int). 15.55/15.69 tff(func_def_50, type, sK9: (lpintcm_intcm_intrp * lpintcm_intcm_intrp * $int * $int) > $int). 15.55/15.69 tff(pred_def_1, type, sort1: (ty * uni) > $o). 15.55/15.69 tff(pred_def_2, type, p1: (lpintcm_intcm_intrp * $int) > $o). 15.55/15.69 tff(f1,axiom,( 15.55/15.69 ! [X0 : $int] : div2(X0,1) = X0), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_11)). 15.55/15.69 tff(f3,axiom,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int] : ($lesseq(X5,X4) => num_of1(X3,X4,X5) = 0)), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_empty)). 15.55/15.69 tff(f4,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (0 != X1 => ($less(mod2(X0,X1),abs1(X1)) & $less($uminus(abs1(X1)),mod2(X0,X1))))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_bound1)). 15.55/15.69 tff(f6,axiom,( 15.55/15.69 ! [X4 : $int,X5 : $int,X8 : $int] : num_of1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(10))),0,power1(10,X8)) = solution1(X4,X5,X8)), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',solution_def)). 15.55/15.69 tff(f7,axiom,( 15.55/15.69 ! [X0 : $int] : (($lesseq(0,X0) => abs1(X0) = X0) & (~$lesseq(0,X0) => abs1(X0) = $uminus(X0)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def)). 15.55/15.69 tff(f12,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : ((0 != X1 & $lesseq(0,X0)) => $lesseq(0,mod2(X0,X1)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_sign_pos)). 15.55/15.69 tff(f16,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & $lesseq(0,X0)) => div2(X0,X1) = 0)), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_inf1)). 15.55/15.69 tff(f17,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(0,X1) & $lesseq(X0,0)) => $lesseq(div2(X0,X1),0))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_sign_neg)). 15.55/15.69 tff(f22,conjecture,( 15.55/15.69 ! [X8 : $int,X4 : $int,X5 : $int] : (($lesseq(0,X8) & $lesseq(0,X4)) => (0 != X8 => ($lesseq(0,9) => ! [X18 : $int,X7 : $int] : (($lesseq(0,X7) & $lesseq(X7,9)) => (num_of1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(X7))),0,power1(10,X8)) = X18 => (($lesseq(0,$difference(X8,1)) & $lesseq(0,div2($sum($product(137,X7),X4),10))) => ! [X19 : $int] : ($sum(X18,solution1(div2($sum($product(137,X7),X4),10),$difference($sum(mod2($sum($product(137,X7),X4),10),X5),X7),$difference(X8,1))) = X19 => (div2($sum($product(137,X7),X4),10) = $quotient_e($sum($product(137,X7),X4),10) => (mod2($sum($product(137,X7),X4),10) = $remainder_e($sum($product(137,X7),X4),10) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(X7))),0,power1(10,X8)) = $difference(X19,X18))))))))))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_f)). 15.55/15.69 tff(f23,negated_conjecture,( 15.55/15.69 ~! [X8 : $int,X4 : $int,X5 : $int] : (($lesseq(0,X8) & $lesseq(0,X4)) => (0 != X8 => ($lesseq(0,9) => ! [X18 : $int,X7 : $int] : (($lesseq(0,X7) & $lesseq(X7,9)) => (num_of1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(X7))),0,power1(10,X8)) = X18 => (($lesseq(0,$difference(X8,1)) & $lesseq(0,div2($sum($product(137,X7),X4),10))) => ! [X19 : $int] : ($sum(X18,solution1(div2($sum($product(137,X7),X4),10),$difference($sum(mod2($sum($product(137,X7),X4),10),X5),X7),$difference(X8,1))) = X19 => (div2($sum($product(137,X7),X4),10) = $quotient_e($sum($product(137,X7),X4),10) => (mod2($sum($product(137,X7),X4),10) = $remainder_e($sum($product(137,X7),X4),10) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(X7))),0,power1(10,X8)) = $difference(X19,X18))))))))))), 15.55/15.69 inference(negated_conjecture,[],[f22])). 15.55/15.69 tff(f26,axiom,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X20 : $int,X12 : $int,X21 : $int,X22 : $int] : (($lesseq(X20,X12) & $lesseq(X12,X21) & $less(X21,X22)) => (p1(X3,X21) => $less(num_of1(X3,X20,X12),num_of1(X3,X20,X22))))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_strictly_increasing)). 15.55/15.69 tff(f31,axiom,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int] : ($less(X4,X5) => ($lesseq(num_of1(X3,X4,X5),$difference(X5,X4)) & $lesseq(0,num_of1(X3,X4,X5))))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_bounds)). 15.55/15.69 tff(f33,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : ($lesseq(abs1(X0),X1) <=> ($lesseq(X0,X1) & $lesseq($uminus(X1),X0)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_le)). 15.55/15.69 tff(f34,axiom,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X20 : $int,X12 : $int,X21 : $int] : (($lesseq(X20,X12) & $lesseq(X12,X21)) => $lesseq(num_of1(X3,X20,X12),num_of1(X3,X20,X21)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_increasing)). 15.55/15.69 tff(f35,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (0 != X1 => $sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0)), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mod1)). 15.55/15.69 tff(f36,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int] : ($lesseq(X0,X1) => ($lesseq(0,X2) => $lesseq($product(X0,X2),$product(X1,X2))))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 15.55/15.69 tff(f37,axiom,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int] : (! [X6 : $int] : (($less(X6,X5) & $lesseq(X4,X6)) => ~p1(X3,X6)) => num_of1(X3,X4,X5) = 0)), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty)). 15.55/15.69 tff(f39,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & $lesseq(0,X0)) => mod2(X0,X1) = X0)), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_inf)). 15.55/15.69 tff(f41,axiom,( 15.55/15.69 ! [X0 : $int,X6 : $int,X8 : $int] : ($lesseq(0,X6) => ($lesseq(0,X8) => power1(X0,$product(X6,X8)) = power1(power1(X0,X6),X8)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_mult)). 15.55/15.69 tff(f45,axiom,( 15.55/15.69 ! [X4 : $int,X5 : $int,X0 : $int,X1 : $int] : num_of1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(0))),X0,X1) = 0), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty1)). 15.55/15.69 tff(f50,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (0 != X1 => $lesseq(abs1($product(div2(X0,X1),X1)),abs1(X0)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rounds_toward_zero)). 15.55/15.69 tff(f55,axiom,( 15.55/15.69 ! [X6 : $int] : ((~$lesseq(X6,0) => sum_digits1(X6) = $sum(sum_digits1($quotient_e(X6,10)),$remainder_e(X6,10))) & ($lesseq(X6,0) => sum_digits1(X6) = 0))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_digits_def)). 15.55/15.69 tff(f57,axiom,( 15.55/15.69 ! [X0 : $int] : power1(X0,0) = 1), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_0)). 15.55/15.69 tff(f61,axiom,( 15.55/15.69 ! [X0 : $int] : mod2(X0,1) = 0), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod_11)). 15.55/15.69 tff(f63,axiom,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(0,X1) & $lesseq(0,X0)) => ($lesseq(0,div2(X0,X1)) & $lesseq(div2(X0,X1),X0)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_bound1)). 15.55/15.69 tff(f64,axiom,( 15.55/15.69 ! [X4 : $int,X5 : $int,X7 : $int,X8 : $int] : ($lesseq(0,X4) => (($lesseq(0,X7) & $less(X7,10)) => ($less(0,X8) => solution1($quotient_e($sum($product(137,X7),X4),10),$difference($sum($remainder_e($sum($product(137,X7),X4),10),X5),X7),$difference(X8,1)) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(X7))),0,power1(10,X8)))))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induc)). 15.55/15.69 tff(f66,axiom,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int] : ($lesseq(X4,X5) => (! [X6 : $int] : (($less(X6,X5) & $lesseq(X4,X6)) => p1(X3,X6)) => num_of1(X3,X4,X5) = $difference(X5,X4)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full)). 15.55/15.69 tff(f68,axiom,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int,X7 : $int] : (($lesseq(X4,X5) & $lesseq(X5,X7)) => num_of1(X3,X4,X7) = $sum(num_of1(X3,X4,X5),num_of1(X3,X5,X7)))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',num_of_append)). 15.55/15.69 tff(f71,axiom,( 15.55/15.69 ! [X0 : $int] : $lesseq(0,abs1(X0))), 15.55/15.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_pos)). 15.55/15.69 tff(f75,plain,( 15.55/15.69 ~! [X8 : $int,X4 : $int,X5 : $int] : ((~$less(X8,0) & ~$less(X4,0)) => (0 != X8 => (~$less(9,0) => ! [X18 : $int,X7 : $int] : ((~$less(X7,0) & ~$less(9,X7)) => (num_of1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(X7))),0,power1(10,X8)) = X18 => ((~$less($sum(X8,$uminus(1)),0) & ~$less(div2($sum($product(137,X7),X4),10),0)) => ! [X19 : $int] : ($sum(X18,solution1(div2($sum($product(137,X7),X4),10),$sum($sum(mod2($sum($product(137,X7),X4),10),X5),$uminus(X7)),$sum(X8,$uminus(1)))) = X19 => (div2($sum($product(137,X7),X4),10) = $quotient_e($sum($product(137,X7),X4),10) => (mod2($sum($product(137,X7),X4),10) = $remainder_e($sum($product(137,X7),X4),10) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(X7))),0,power1(10,X8)) = $sum(X19,$uminus(X18)))))))))))), 15.55/15.69 inference(evaluation,[],[f23])). 15.55/15.69 tff(f76,plain,( 15.55/15.69 ! [X0 : $int] : ~$less(abs1(X0),0)), 15.55/15.69 inference(evaluation,[],[f71])). 15.55/15.69 tff(f77,plain,( 15.55/15.69 ! [X0 : $int] : ((~$less(X0,0) => abs1(X0) = X0) & ($less(X0,0) => abs1(X0) = $uminus(X0)))), 15.55/15.69 inference(evaluation,[],[f7])). 15.55/15.69 tff(f78,plain,( 15.55/15.69 ! [X6 : $int] : (($less(0,X6) => sum_digits1(X6) = $sum(sum_digits1($quotient_e(X6,10)),$remainder_e(X6,10))) & (~$less(0,X6) => sum_digits1(X6) = 0))), 15.55/15.69 inference(evaluation,[],[f55])). 15.55/15.69 tff(f79,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (0 != X1 => ~$less(abs1(X0),abs1($product(div2(X0,X1),X1))))), 15.55/15.69 inference(evaluation,[],[f50])). 15.55/15.69 tff(f85,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(0,X0)) => ~$less(0,div2(X0,X1)))), 15.55/15.69 inference(evaluation,[],[f17])). 15.55/15.69 tff(f86,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : ((0 != X1 & ~$less(X0,0)) => ~$less(mod2(X0,X1),0))), 15.55/15.69 inference(evaluation,[],[f12])). 15.55/15.69 tff(f87,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => mod2(X0,X1) = X0)), 15.55/15.69 inference(evaluation,[],[f39])). 15.55/15.69 tff(f88,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(X0,X1) & ~$less(X0,0)) => div2(X0,X1) = 0)), 15.55/15.69 inference(evaluation,[],[f16])). 15.55/15.69 tff(f89,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(0,X1) & ~$less(X0,0)) => (~$less(div2(X0,X1),0) & ~$less(X0,div2(X0,X1))))), 15.55/15.69 inference(evaluation,[],[f63])). 15.55/15.69 tff(f90,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (~$less(X1,abs1(X0)) <=> (~$less(X1,X0) & ~$less(X0,$uminus(X1))))), 15.55/15.69 inference(evaluation,[],[f33])). 15.55/15.69 tff(f91,plain,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int] : ($less(X4,X5) => (~$less($sum(X5,$uminus(X4)),num_of1(X3,X4,X5)) & ~$less(num_of1(X3,X4,X5),0)))), 15.55/15.69 inference(evaluation,[],[f31])). 15.55/15.69 tff(f94,plain,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int] : (~$less(X4,X5) => num_of1(X3,X4,X5) = 0)), 15.55/15.69 inference(evaluation,[],[f3])). 15.55/15.69 tff(f95,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 15.55/15.69 inference(evaluation,[],[f36])). 15.55/15.69 tff(f96,plain,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int] : (~$less(X5,X4) => (! [X6 : $int] : (($less(X6,X5) & ~$less(X6,X4)) => p1(X3,X6)) => num_of1(X3,X4,X5) = $sum(X5,$uminus(X4))))), 15.55/15.69 inference(evaluation,[],[f66])). 15.55/15.69 tff(f98,plain,( 15.55/15.69 ! [X0 : $int,X6 : $int,X8 : $int] : (~$less(X6,0) => (~$less(X8,0) => power1(X0,$product(X6,X8)) = power1(power1(X0,X6),X8)))), 15.55/15.69 inference(evaluation,[],[f41])). 15.55/15.69 tff(f102,plain,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int] : (! [X6 : $int] : (($less(X6,X5) & ~$less(X6,X4)) => ~p1(X3,X6)) => num_of1(X3,X4,X5) = 0)), 15.55/15.69 inference(evaluation,[],[f37])). 15.55/15.69 tff(f103,plain,( 15.55/15.69 ! [X4 : $int,X5 : $int,X7 : $int,X8 : $int] : (~$less(X4,0) => ((~$less(X7,0) & $less(X7,10)) => ($less(0,X8) => solution1($quotient_e($sum($product(137,X7),X4),10),$sum($sum($remainder_e($sum($product(137,X7),X4),10),X5),$uminus(X7)),$sum(X8,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X4),t2tb1(X5),t2tb1(X7))),0,power1(10,X8)))))), 15.55/15.69 inference(evaluation,[],[f64])). 15.55/15.69 tff(f104,plain,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X20 : $int,X12 : $int,X21 : $int] : ((~$less(X12,X20) & ~$less(X21,X12)) => ~$less(num_of1(X3,X20,X21),num_of1(X3,X20,X12)))), 15.55/15.69 inference(evaluation,[],[f34])). 15.55/15.69 tff(f105,plain,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X4 : $int,X5 : $int,X7 : $int] : ((~$less(X5,X4) & ~$less(X7,X5)) => num_of1(X3,X4,X7) = $sum(num_of1(X3,X4,X5),num_of1(X3,X5,X7)))), 15.55/15.69 inference(evaluation,[],[f68])). 15.55/15.69 tff(f109,plain,( 15.55/15.69 ! [X3 : lpintcm_intcm_intrp,X20 : $int,X12 : $int,X21 : $int,X22 : $int] : ((~$less(X12,X20) & ~$less(X21,X12) & $less(X21,X22)) => (p1(X3,X21) => $less(num_of1(X3,X20,X12),num_of1(X3,X20,X22))))), 15.55/15.69 inference(evaluation,[],[f26])). 15.55/15.69 tff(f111,plain,( 15.55/15.69 ~! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X0,0) & ~$less(X1,0)) => (0 != X0 => (~$less(9,0) => ! [X3 : $int,X4 : $int] : ((~$less(X4,0) & ~$less(9,X4)) => (num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3 => ((~$less($sum(X0,$uminus(1)),0) & ~$less(div2($sum($product(137,X4),X1),10),0)) => ! [X5 : $int] : ($sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5 => (div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) => (mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) => num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = $sum(X5,$uminus(X3)))))))))))), 15.55/15.69 inference(rectify,[],[f75])). 15.55/15.69 tff(f118,plain,( 15.55/15.69 ! [X0 : $int] : (($less(0,X0) => sum_digits1(X0) = $sum(sum_digits1($quotient_e(X0,10)),$remainder_e(X0,10))) & (~$less(0,X0) => sum_digits1(X0) = 0))), 15.55/15.69 inference(rectify,[],[f78])). 15.55/15.69 tff(f127,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int] : num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0,power1(10,X2)) = solution1(X0,X1,X2)), 15.55/15.69 inference(rectify,[],[f6])). 15.55/15.69 tff(f128,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) & ~$less(num_of1(X0,X1,X2),0)))), 15.55/15.69 inference(rectify,[],[f91])). 15.55/15.69 tff(f135,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X1,X2) => num_of1(X0,X1,X2) = 0)), 15.55/15.69 inference(rectify,[],[f94])). 15.55/15.69 tff(f136,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X2,X1) => (! [X3 : $int] : (($less(X3,X2) & ~$less(X3,X1)) => p1(X0,X3)) => num_of1(X0,X1,X2) = $sum(X2,$uminus(X1))))), 15.55/15.69 inference(rectify,[],[f96])). 15.55/15.69 tff(f138,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,0) => (~$less(X2,0) => power1(X0,$product(X1,X2)) = power1(power1(X0,X1),X2)))), 15.55/15.69 inference(rectify,[],[f98])). 15.55/15.69 tff(f140,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (! [X3 : $int] : (($less(X3,X2) & ~$less(X3,X1)) => ~p1(X0,X3)) => num_of1(X0,X1,X2) = 0)), 15.55/15.69 inference(rectify,[],[f102])). 15.55/15.69 tff(f145,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(0))),X2,X3) = 0), 15.55/15.69 inference(rectify,[],[f45])). 15.55/15.69 tff(f146,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (~$less(X0,0) => ((~$less(X2,0) & $less(X2,10)) => ($less(0,X3) => solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)))))), 15.55/15.69 inference(rectify,[],[f103])). 15.55/15.69 tff(f148,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X2,X1) & ~$less(X3,X2)) => ~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)))), 15.55/15.69 inference(rectify,[],[f104])). 15.55/15.69 tff(f149,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X2,X1) & ~$less(X3,X2)) => num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)))), 15.55/15.69 inference(rectify,[],[f105])). 15.55/15.69 tff(f153,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int,X4 : $int] : ((~$less(X2,X1) & ~$less(X3,X2) & $less(X3,X4)) => (p1(X0,X3) => $less(num_of1(X0,X1,X2),num_of1(X0,X1,X4))))), 15.55/15.69 inference(rectify,[],[f109])). 15.55/15.69 tff(f159,plain,( 15.55/15.69 ? [X0 : $int,X1 : $int,X2 : $int] : (((? [X3 : $int,X4 : $int] : (((? [X5 : $int] : (((num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10)) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10)) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5) & (~$less($sum(X0,$uminus(1)),0) & ~$less(div2($sum($product(137,X4),X1),10),0))) & num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3) & (~$less(X4,0) & ~$less(9,X4))) & ~$less(9,0)) & 0 != X0) & (~$less(X0,0) & ~$less(X1,0)))), 15.55/15.69 inference(ennf_transformation,[],[f111])). 15.55/15.69 tff(f160,plain,( 15.55/15.69 ? [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int,X4 : $int] : (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5) & ~$less($sum(X0,$uminus(1)),0) & ~$less(div2($sum($product(137,X4),X1),10),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3 & ~$less(X4,0) & ~$less(9,X4)) & ~$less(9,0) & 0 != X0 & ~$less(X0,0) & ~$less(X1,0))), 15.55/15.69 inference(flattening,[],[f159])). 15.55/15.69 tff(f161,plain,( 15.55/15.69 ! [X0 : $int] : ((abs1(X0) = X0 | $less(X0,0)) & (abs1(X0) = $uminus(X0) | ~$less(X0,0)))), 15.55/15.69 inference(ennf_transformation,[],[f77])). 15.55/15.69 tff(f162,plain,( 15.55/15.69 ! [X0 : $int] : ((sum_digits1(X0) = $sum(sum_digits1($quotient_e(X0,10)),$remainder_e(X0,10)) | ~$less(0,X0)) & (sum_digits1(X0) = 0 | $less(0,X0)))), 15.55/15.69 inference(ennf_transformation,[],[f118])). 15.55/15.69 tff(f163,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (~$less(abs1(X0),abs1($product(div2(X0,X1),X1))) | 0 = X1)), 15.55/15.69 inference(ennf_transformation,[],[f79])). 15.55/15.69 tff(f164,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : ($sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0 | 0 = X1)), 15.55/15.69 inference(ennf_transformation,[],[f35])). 15.55/15.69 tff(f165,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (($less(mod2(X0,X1),abs1(X1)) & $less($uminus(abs1(X1)),mod2(X0,X1))) | 0 = X1)), 15.55/15.69 inference(ennf_transformation,[],[f4])). 15.55/15.69 tff(f176,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (~$less(0,div2(X0,X1)) | (~$less(0,X1) | $less(0,X0)))), 15.55/15.69 inference(ennf_transformation,[],[f85])). 15.55/15.69 tff(f177,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (~$less(0,div2(X0,X1)) | ~$less(0,X1) | $less(0,X0))), 15.55/15.69 inference(flattening,[],[f176])). 15.55/15.69 tff(f178,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (~$less(mod2(X0,X1),0) | (0 = X1 | $less(X0,0)))), 15.55/15.69 inference(ennf_transformation,[],[f86])). 15.55/15.69 tff(f179,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (~$less(mod2(X0,X1),0) | 0 = X1 | $less(X0,0))), 15.55/15.69 inference(flattening,[],[f178])). 15.55/15.69 tff(f180,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (mod2(X0,X1) = X0 | (~$less(X0,X1) | $less(X0,0)))), 15.55/15.69 inference(ennf_transformation,[],[f87])). 15.55/15.69 tff(f181,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (mod2(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0))), 15.55/15.69 inference(flattening,[],[f180])). 15.55/15.69 tff(f182,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (div2(X0,X1) = 0 | (~$less(X0,X1) | $less(X0,0)))), 15.55/15.69 inference(ennf_transformation,[],[f88])). 15.55/15.69 tff(f183,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : (div2(X0,X1) = 0 | ~$less(X0,X1) | $less(X0,0))), 15.55/15.69 inference(flattening,[],[f182])). 15.55/15.69 tff(f184,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : ((~$less(div2(X0,X1),0) & ~$less(X0,div2(X0,X1))) | (~$less(0,X1) | $less(X0,0)))), 15.55/15.69 inference(ennf_transformation,[],[f89])). 15.55/15.69 tff(f185,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : ((~$less(div2(X0,X1),0) & ~$less(X0,div2(X0,X1))) | ~$less(0,X1) | $less(X0,0))), 15.55/15.69 inference(flattening,[],[f184])). 15.55/15.69 tff(f186,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : ((~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) & ~$less(num_of1(X0,X1,X2),0)) | ~$less(X1,X2))), 15.55/15.69 inference(ennf_transformation,[],[f128])). 15.55/15.69 tff(f199,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = 0 | $less(X1,X2))), 15.55/15.69 inference(ennf_transformation,[],[f135])). 15.55/15.69 tff(f200,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 15.55/15.69 inference(ennf_transformation,[],[f95])). 15.55/15.69 tff(f201,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 15.55/15.69 inference(flattening,[],[f200])). 15.55/15.69 tff(f202,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : ((num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ? [X3 : $int] : (~p1(X0,X3) & ($less(X3,X2) & ~$less(X3,X1)))) | $less(X2,X1))), 15.55/15.69 inference(ennf_transformation,[],[f136])). 15.55/15.69 tff(f203,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ? [X3 : $int] : (~p1(X0,X3) & $less(X3,X2) & ~$less(X3,X1)) | $less(X2,X1))), 15.55/15.69 inference(flattening,[],[f202])). 15.55/15.69 tff(f205,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int] : ((power1(X0,$product(X1,X2)) = power1(power1(X0,X1),X2) | $less(X2,0)) | $less(X1,0))), 15.55/15.69 inference(ennf_transformation,[],[f138])). 15.55/15.69 tff(f206,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int] : (power1(X0,$product(X1,X2)) = power1(power1(X0,X1),X2) | $less(X2,0) | $less(X1,0))), 15.55/15.69 inference(flattening,[],[f205])). 15.55/15.69 tff(f213,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = 0 | ? [X3 : $int] : (p1(X0,X3) & ($less(X3,X2) & ~$less(X3,X1))))), 15.55/15.69 inference(ennf_transformation,[],[f140])). 15.55/15.69 tff(f214,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = 0 | ? [X3 : $int] : (p1(X0,X3) & $less(X3,X2) & ~$less(X3,X1)))), 15.55/15.69 inference(flattening,[],[f213])). 15.55/15.69 tff(f215,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (((solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) | ~$less(0,X3)) | ($less(X2,0) | ~$less(X2,10))) | $less(X0,0))), 15.55/15.69 inference(ennf_transformation,[],[f146])). 15.55/15.69 tff(f216,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) | ~$less(0,X3) | $less(X2,0) | ~$less(X2,10) | $less(X0,0))), 15.55/15.69 inference(flattening,[],[f215])). 15.55/15.69 tff(f218,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | ($less(X2,X1) | $less(X3,X2)))), 15.55/15.69 inference(ennf_transformation,[],[f148])). 15.55/15.69 tff(f219,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | $less(X2,X1) | $less(X3,X2))), 15.55/15.69 inference(flattening,[],[f218])). 15.55/15.69 tff(f220,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | ($less(X2,X1) | $less(X3,X2)))), 15.55/15.69 inference(ennf_transformation,[],[f149])). 15.55/15.69 tff(f221,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | $less(X2,X1) | $less(X3,X2))), 15.55/15.69 inference(flattening,[],[f220])). 15.55/15.69 tff(f224,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int,X4 : $int] : (($less(num_of1(X0,X1,X2),num_of1(X0,X1,X4)) | ~p1(X0,X3)) | ($less(X2,X1) | $less(X3,X2) | ~$less(X3,X4)))), 15.55/15.69 inference(ennf_transformation,[],[f153])). 15.55/15.69 tff(f225,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int,X3 : $int,X4 : $int] : ($less(num_of1(X0,X1,X2),num_of1(X0,X1,X4)) | ~p1(X0,X3) | $less(X2,X1) | $less(X3,X2) | ~$less(X3,X4))), 15.55/15.69 inference(flattening,[],[f224])). 15.55/15.69 tff(f231,plain,( 15.55/15.69 ? [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int,X4 : $int] : (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5) & ~$less($sum(X0,$uminus(1)),0) & ~$less(div2($sum($product(137,X4),X1),10),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3 & ~$less(X4,0) & ~$less(9,X4)) & ~$less(9,0) & 0 != X0 & ~$less(X0,0) & ~$less(X1,0)) => (? [X4 : $int,X3 : $int] : (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(X4))),0,power1(10,sK0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),sK1),10) = $remainder_e($sum($product(137,X4),sK1),10) & div2($sum($product(137,X4),sK1),10) = $quotient_e($sum($product(137,X4),sK1),10) & $sum(X3,solution1(div2($sum($product(137,X4),sK1),10),$sum($sum(mod2($sum($product(137,X4),sK1),10),sK2),$uminus(X4)),$sum(sK0,$uminus(1)))) = X5) & ~$less($sum(sK0,$uminus(1)),0) & ~$less(div2($sum($product(137,X4),sK1),10),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(X4))),0,power1(10,sK0)) = X3 & ~$less(X4,0) & ~$less(9,X4)) & ~$less(9,0) & 0 != sK0 & ~$less(sK0,0) & ~$less(sK1,0))), 15.55/15.69 introduced(choice_axiom,[])). 15.55/15.69 tff(f232,plain,( 15.55/15.69 ( ! [X2:$int,X0:$int,X1:$int] : (? [X3 : $int,X4 : $int] : (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5) & ~$less($sum(X0,$uminus(1)),0) & ~$less(div2($sum($product(137,X4),X1),10),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) = X3 & ~$less(X4,0) & ~$less(9,X4)) => (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(sK4))),0,power1(10,X0)) != $sum(X5,$uminus(sK3)) & mod2($sum($product(137,sK4),X1),10) = $remainder_e($sum($product(137,sK4),X1),10) & div2($sum($product(137,sK4),X1),10) = $quotient_e($sum($product(137,sK4),X1),10) & $sum(sK3,solution1(div2($sum($product(137,sK4),X1),10),$sum($sum(mod2($sum($product(137,sK4),X1),10),X2),$uminus(sK4)),$sum(X0,$uminus(1)))) = X5) & ~$less($sum(X0,$uminus(1)),0) & ~$less(div2($sum($product(137,sK4),X1),10),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(sK4))),0,power1(10,X0)) = sK3 & ~$less(sK4,0) & ~$less(9,sK4))) )), 15.55/15.69 introduced(choice_axiom,[])). 15.55/15.69 tff(f233,plain,( 15.55/15.69 ( ! [X4:$int,X2:$int,X0:$int,X3:$int,X1:$int] : (? [X5 : $int] : (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(X5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = X5) => (num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X1),t2tb1(X2),t2tb1(X4))),0,power1(10,X0)) != $sum(sK5,$uminus(X3)) & mod2($sum($product(137,X4),X1),10) = $remainder_e($sum($product(137,X4),X1),10) & div2($sum($product(137,X4),X1),10) = $quotient_e($sum($product(137,X4),X1),10) & $sum(X3,solution1(div2($sum($product(137,X4),X1),10),$sum($sum(mod2($sum($product(137,X4),X1),10),X2),$uminus(X4)),$sum(X0,$uminus(1)))) = sK5)) )), 15.55/15.69 introduced(choice_axiom,[])). 15.55/15.69 tff(f234,plain,( 15.55/15.69 ((num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,$uminus(sK3)) & mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10) & div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10) & $sum(sK3,solution1(div2($sum($product(137,sK4),sK1),10),$sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4)),$sum(sK0,$uminus(1)))) = sK5) & ~$less($sum(sK0,$uminus(1)),0) & ~$less(div2($sum($product(137,sK4),sK1),10),0) & num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = sK3 & ~$less(sK4,0) & ~$less(9,sK4)) & ~$less(9,0) & 0 != sK0 & ~$less(sK0,0) & ~$less(sK1,0)), 15.55/15.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f160,f233,f232,f231])). 15.55/15.69 tff(f235,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs1(X0)) | ($less(X1,X0) | $less(X0,$uminus(X1)))) & ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs1(X0))))), 15.55/15.69 inference(nnf_transformation,[],[f90])). 15.55/15.69 tff(f236,plain,( 15.55/15.69 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs1(X0)) | $less(X1,X0) | $less(X0,$uminus(X1))) & ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs1(X0))))), 15.55/15.69 inference(flattening,[],[f235])). 15.55/15.69 tff(f237,plain,( 15.55/15.69 ! [X2 : $int,X1 : $int,X0 : lpintcm_intcm_intrp] : (? [X3 : $int] : (~p1(X0,X3) & $less(X3,X2) & ~$less(X3,X1)) => (~p1(X0,sK6(X0,X1,X2)) & $less(sK6(X0,X1,X2),X2) & ~$less(sK6(X0,X1,X2),X1)))), 15.55/15.69 introduced(choice_axiom,[])). 15.55/15.69 tff(f238,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | (~p1(X0,sK6(X0,X1,X2)) & $less(sK6(X0,X1,X2),X2) & ~$less(sK6(X0,X1,X2),X1)) | $less(X2,X1))), 15.55/15.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f203,f237])). 15.55/15.69 tff(f239,plain,( 15.55/15.69 ! [X2 : $int,X1 : $int,X0 : lpintcm_intcm_intrp] : (? [X3 : $int] : (p1(X0,X3) & $less(X3,X2) & ~$less(X3,X1)) => (p1(X0,sK7(X0,X1,X2)) & $less(sK7(X0,X1,X2),X2) & ~$less(sK7(X0,X1,X2),X1)))), 15.55/15.69 introduced(choice_axiom,[])). 15.55/15.69 tff(f240,plain,( 15.55/15.69 ! [X0 : lpintcm_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = 0 | (p1(X0,sK7(X0,X1,X2)) & $less(sK7(X0,X1,X2),X2) & ~$less(sK7(X0,X1,X2),X1)))), 15.55/15.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f214,f239])). 15.55/15.69 tff(f247,plain,( 15.55/15.69 ~$less(sK1,0)), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f248,plain,( 15.55/15.69 ~$less(sK0,0)), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f249,plain,( 15.55/15.69 0 != sK0), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f251,plain,( 15.55/15.69 ~$less(9,sK4)), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f252,plain,( 15.55/15.69 ~$less(sK4,0)), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f253,plain,( 15.55/15.69 num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = sK3), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f254,plain,( 15.55/15.69 ~$less(div2($sum($product(137,sK4),sK1),10),0)), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f255,plain,( 15.55/15.69 ~$less($sum(sK0,$uminus(1)),0)), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f256,plain,( 15.55/15.69 $sum(sK3,solution1(div2($sum($product(137,sK4),sK1),10),$sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4)),$sum(sK0,$uminus(1)))) = sK5), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f257,plain,( 15.55/15.69 div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10)), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f258,plain,( 15.55/15.69 mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10)), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f259,plain,( 15.55/15.69 num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,$uminus(sK3))), 15.55/15.69 inference(cnf_transformation,[],[f234])). 15.55/15.69 tff(f262,plain,( 15.55/15.69 ( ! [X0:$int] : (~$less(abs1(X0),0)) )), 15.55/15.69 inference(cnf_transformation,[],[f76])). 15.55/15.69 tff(f265,plain,( 15.55/15.69 ( ! [X0:$int] : (div2(X0,1) = X0) )), 15.55/15.69 inference(cnf_transformation,[],[f1])). 15.55/15.69 tff(f271,plain,( 15.55/15.69 ( ! [X0:$int] : (mod2(X0,1) = 0) )), 15.55/15.69 inference(cnf_transformation,[],[f61])). 15.55/15.69 tff(f272,plain,( 15.55/15.69 ( ! [X0:$int] : (power1(X0,0) = 1) )), 15.55/15.69 inference(cnf_transformation,[],[f57])). 15.55/15.69 tff(f274,plain,( 15.55/15.69 ( ! [X0:$int] : (abs1(X0) = $uminus(X0) | ~$less(X0,0)) )), 15.55/15.69 inference(cnf_transformation,[],[f161])). 15.55/15.69 tff(f275,plain,( 15.55/15.69 ( ! [X0:$int] : (abs1(X0) = X0 | $less(X0,0)) )), 15.55/15.69 inference(cnf_transformation,[],[f161])). 15.55/15.69 tff(f276,plain,( 15.55/15.69 ( ! [X0:$int] : (sum_digits1(X0) = 0 | $less(0,X0)) )), 15.55/15.69 inference(cnf_transformation,[],[f162])). 15.55/15.69 tff(f281,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (~$less(abs1(X0),abs1($product(div2(X0,X1),X1))) | 0 = X1) )), 15.55/15.69 inference(cnf_transformation,[],[f163])). 15.55/15.69 tff(f282,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : ($sum($product(X1,div2(X0,X1)),mod2(X0,X1)) = X0 | 0 = X1) )), 15.55/15.69 inference(cnf_transformation,[],[f164])). 15.55/15.69 tff(f283,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : ($less($uminus(abs1(X1)),mod2(X0,X1)) | 0 = X1) )), 15.55/15.69 inference(cnf_transformation,[],[f165])). 15.55/15.69 tff(f284,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : ($less(mod2(X0,X1),abs1(X1)) | 0 = X1) )), 15.55/15.69 inference(cnf_transformation,[],[f165])). 15.55/15.69 tff(f292,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (~$less(0,div2(X0,X1)) | ~$less(0,X1) | $less(0,X0)) )), 15.55/15.69 inference(cnf_transformation,[],[f177])). 15.55/15.69 tff(f293,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (~$less(mod2(X0,X1),0) | 0 = X1 | $less(X0,0)) )), 15.55/15.69 inference(cnf_transformation,[],[f179])). 15.55/15.69 tff(f294,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (mod2(X0,X1) = X0 | ~$less(X0,X1) | $less(X0,0)) )), 15.55/15.69 inference(cnf_transformation,[],[f181])). 15.55/15.69 tff(f295,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (div2(X0,X1) = 0 | ~$less(X0,X1) | $less(X0,0)) )), 15.55/15.69 inference(cnf_transformation,[],[f183])). 15.55/15.69 tff(f296,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (~$less(X0,div2(X0,X1)) | ~$less(0,X1) | $less(X0,0)) )), 15.55/15.69 inference(cnf_transformation,[],[f185])). 15.55/15.69 tff(f298,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (~$less(X0,$uminus(X1)) | $less(X1,abs1(X0))) )), 15.55/15.69 inference(cnf_transformation,[],[f236])). 15.55/15.69 tff(f299,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | $less(X1,abs1(X0))) )), 15.55/15.69 inference(cnf_transformation,[],[f236])). 15.55/15.69 tff(f300,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : (~$less(X1,abs1(X0)) | $less(X1,X0) | $less(X0,$uminus(X1))) )), 15.55/15.69 inference(cnf_transformation,[],[f236])). 15.55/15.69 tff(f301,plain,( 15.55/15.69 ( ! [X2:$int,X0:$int,X1:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(10))),0,power1(10,X2)) = solution1(X0,X1,X2)) )), 15.55/15.69 inference(cnf_transformation,[],[f127])). 15.55/15.69 tff(f302,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (~$less(num_of1(X0,X1,X2),0) | ~$less(X1,X2)) )), 15.55/15.69 inference(cnf_transformation,[],[f186])). 15.55/15.69 tff(f303,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) | ~$less(X1,X2)) )), 15.55/15.69 inference(cnf_transformation,[],[f186])). 15.55/15.69 tff(f312,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = 0 | $less(X1,X2)) )), 15.55/15.69 inference(cnf_transformation,[],[f199])). 15.55/15.69 tff(f313,plain,( 15.55/15.69 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 15.55/15.69 inference(cnf_transformation,[],[f201])). 15.55/15.69 tff(f314,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ~$less(sK6(X0,X1,X2),X1) | $less(X2,X1)) )), 15.55/15.69 inference(cnf_transformation,[],[f238])). 15.55/15.69 tff(f315,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | $less(sK6(X0,X1,X2),X2) | $less(X2,X1)) )), 15.55/15.69 inference(cnf_transformation,[],[f238])). 15.55/15.69 tff(f318,plain,( 15.55/15.69 ( ! [X2:$int,X0:$int,X1:$int] : (power1(X0,$product(X1,X2)) = power1(power1(X0,X1),X2) | $less(X2,0) | $less(X1,0)) )), 15.55/15.69 inference(cnf_transformation,[],[f206])). 15.55/15.69 tff(f322,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = 0 | ~$less(sK7(X0,X1,X2),X1)) )), 15.55/15.69 inference(cnf_transformation,[],[f240])). 15.55/15.69 tff(f323,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = 0 | $less(sK7(X0,X1,X2),X2)) )), 15.55/15.69 inference(cnf_transformation,[],[f240])). 15.55/15.69 tff(f324,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X1:$int] : (num_of1(X0,X1,X2) = 0 | p1(X0,sK7(X0,X1,X2))) )), 15.55/15.69 inference(cnf_transformation,[],[f240])). 15.55/15.69 tff(f329,plain,( 15.55/15.69 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(0))),X2,X3) = 0) )), 15.55/15.69 inference(cnf_transformation,[],[f145])). 15.55/15.69 tff(f330,plain,( 15.55/15.69 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (solution1($quotient_e($sum($product(137,X2),X0),10),$sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2)),$sum(X3,$uminus(1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) | ~$less(0,X3) | $less(X2,0) | ~$less(X2,10) | $less(X0,0)) )), 15.55/15.69 inference(cnf_transformation,[],[f216])). 15.55/15.69 tff(f332,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X3:$int,X1:$int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | $less(X2,X1) | $less(X3,X2)) )), 15.55/15.69 inference(cnf_transformation,[],[f219])). 15.55/15.69 tff(f333,plain,( 15.55/15.69 ( ! [X2:$int,X0:lpintcm_intcm_intrp,X3:$int,X1:$int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | $less(X2,X1) | $less(X3,X2)) )), 15.55/15.69 inference(cnf_transformation,[],[f221])). 15.55/15.69 tff(f343,plain,( 15.55/15.69 ( ! [X4:$int,X2:$int,X0:lpintcm_intcm_intrp,X3:$int,X1:$int] : ($less(num_of1(X0,X1,X2),num_of1(X0,X1,X4)) | ~p1(X0,X3) | $less(X2,X1) | $less(X3,X2) | ~$less(X3,X4)) )), 15.55/15.69 inference(cnf_transformation,[],[f225])). 15.55/15.69 tff(f352,plain,( 15.55/15.69 $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,$uminus(1))))) = sK5), 15.55/15.69 inference(definition_unfolding,[],[f256,f301])). 15.55/15.69 tff(f353,plain,( 15.55/15.69 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,X2),X0),10)),t2tb1($sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2))),t2tb1(10))),0,power1(10,$sum(X3,$uminus(1)))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) | ~$less(0,X3) | $less(X2,0) | ~$less(X2,10) | $less(X0,0)) )), 15.55/15.69 inference(definition_unfolding,[],[f330,f301])). 15.55/15.69 tff(f357,plain,( 15.55/15.69 ( ! [X2:$int,X0:$int,X3:$int,X1:$int] : (num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,X2),X0),10)),t2tb1($sum($sum($remainder_e($sum($product(137,X2),X0),10),X1),$uminus(X2))),t2tb1(10))),0,power1(10,$sum(X3,-1))) = num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(X0),t2tb1(X1),t2tb1(X2))),0,power1(10,X3)) | ~$less(0,X3) | $less(X2,0) | ~$less(X2,10) | $less(X0,0)) )), 15.55/15.69 inference(evaluation,[],[f353])). 15.55/15.69 tff(f358,plain,( 15.55/15.69 ~$less(sK0,$uminus(-1))), 15.55/15.69 inference(evaluation,[],[f255])). 15.55/15.69 tff(f359,plain,( 15.55/15.69 ~$less(sK0,1)), 15.55/15.69 inference(evaluation,[],[f358])). 15.55/15.69 tff(f360,plain,( 15.55/15.69 $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum(mod2($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) = sK5), 15.55/15.69 inference(evaluation,[],[f352])). 15.55/15.69 tff(f362,plain,( 15.55/15.69 spl10_0 <=> $less(sK1,0)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_0])])). 15.55/15.69 tff(f365,plain,( 15.55/15.69 spl10_1 <=> ~$less(sK1,0)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_1])])). 15.55/15.69 tff(f366,plain,( 15.55/15.69 ~$less(sK1,0) | ~spl10_1), 15.55/15.69 inference(avatar_component_clause,[],[f365])). 15.55/15.69 tff(f367,plain,( 15.55/15.69 ~spl10_1), 15.55/15.69 inference(avatar_split_clause,[],[f247,f365])). 15.55/15.69 tff(f372,plain,( 15.55/15.69 spl10_3 <=> ~$less(sK0,0)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_3])])). 15.55/15.69 tff(f373,plain,( 15.55/15.69 ~$less(sK0,0) | ~spl10_3), 15.55/15.69 inference(avatar_component_clause,[],[f372])). 15.55/15.69 tff(f374,plain,( 15.55/15.69 ~spl10_3), 15.55/15.69 inference(avatar_split_clause,[],[f248,f372])). 15.55/15.69 tff(f376,plain,( 15.55/15.69 spl10_4 <=> 0 = sK0), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_4])])). 15.55/15.69 tff(f379,plain,( 15.55/15.69 spl10_5 <=> 0 != sK0), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_5])])). 15.55/15.69 tff(f381,plain,( 15.55/15.69 ~spl10_5), 15.55/15.69 inference(avatar_split_clause,[],[f249,f379])). 15.55/15.69 tff(f386,plain,( 15.55/15.69 spl10_7 <=> ~$less(9,sK4)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_7])])). 15.55/15.69 tff(f387,plain,( 15.55/15.69 ~$less(9,sK4) | ~spl10_7), 15.55/15.69 inference(avatar_component_clause,[],[f386])). 15.55/15.69 tff(f388,plain,( 15.55/15.69 ~spl10_7), 15.55/15.69 inference(avatar_split_clause,[],[f251,f386])). 15.55/15.69 tff(f390,plain,( 15.55/15.69 spl10_8 <=> $less(sK4,0)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_8])])). 15.55/15.69 tff(f393,plain,( 15.55/15.69 spl10_9 <=> ~$less(sK4,0)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_9])])). 15.55/15.69 tff(f394,plain,( 15.55/15.69 ~$less(sK4,0) | ~spl10_9), 15.55/15.69 inference(avatar_component_clause,[],[f393])). 15.55/15.69 tff(f395,plain,( 15.55/15.69 ~spl10_9), 15.55/15.69 inference(avatar_split_clause,[],[f252,f393])). 15.55/15.69 tff(f400,plain,( 15.55/15.69 spl10_11 <=> ~$less(sK0,1)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_11])])). 15.55/15.69 tff(f401,plain,( 15.55/15.69 ~$less(sK0,1) | ~spl10_11), 15.55/15.69 inference(avatar_component_clause,[],[f400])). 15.55/15.69 tff(f402,plain,( 15.55/15.69 ~spl10_11), 15.55/15.69 inference(avatar_split_clause,[],[f359,f400])). 15.55/15.69 tff(f403,plain,( 15.55/15.69 abs1(sK1) = sK1 | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f275])). 15.55/15.69 tff(f408,plain,( 15.55/15.69 ( ! [X4:$int] : (mod2(sK1,X4) = sK1 | ~$less(sK1,X4)) ) | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f294])). 15.55/15.69 tff(f410,plain,( 15.55/15.69 ( ! [X6:$int] : (~$less(sK1,div2(sK1,X6)) | ~$less(0,X6)) ) | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f296])). 15.55/15.69 tff(f415,plain,( 15.55/15.69 ( ! [X14:$int,X15:$int] : (power1(X14,$product(X15,sK1)) = power1(power1(X14,X15),sK1) | $less(X15,0)) ) | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f318])). 15.55/15.69 tff(f424,plain,( 15.55/15.69 ~$less(sK1,abs1(0)) | $less(0,$uminus(sK1)) | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f300])). 15.55/15.69 tff(f425,plain,( 15.55/15.69 ( ! [X34:lpintcm_intcm_intrp] : (num_of1(X34,sK1,0) = 0) ) | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f312])). 15.55/15.69 tff(f430,plain,( 15.55/15.69 ( ! [X39:lpintcm_intcm_intrp,X40:$int] : (~$less(num_of1(X39,X40,sK1),num_of1(X39,X40,0)) | $less(0,X40)) ) | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f332])). 15.55/15.69 tff(f431,plain,( 15.55/15.69 ( ! [X41:lpintcm_intcm_intrp,X42:$int] : (~$less(num_of1(X41,0,X42),num_of1(X41,0,sK1)) | $less(X42,sK1)) ) | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f332])). 15.55/15.69 tff(f435,plain,( 15.55/15.69 ( ! [X52:$int,X50:lpintcm_intcm_intrp,X51:$int] : ($less(num_of1(X50,0,sK1),num_of1(X50,0,X51)) | ~p1(X50,X52) | $less(X52,sK1) | ~$less(X52,X51)) ) | ~spl10_1), 15.55/15.69 inference(resolution,[],[f366,f343])). 15.55/15.69 tff(f442,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : ($less($uminus(abs1(X0)),mod2(X1,X0)) | ~$less(sK1,X0)) ) | ~spl10_1), 15.55/15.69 inference(superposition,[],[f366,f283])). 15.55/15.69 tff(f453,plain,( 15.55/15.69 abs1(sK0) = sK0 | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f275])). 15.55/15.69 tff(f458,plain,( 15.55/15.69 ( ! [X4:$int] : (mod2(sK0,X4) = sK0 | ~$less(sK0,X4)) ) | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f294])). 15.55/15.69 tff(f460,plain,( 15.55/15.69 ( ! [X6:$int] : (~$less(sK0,div2(sK0,X6)) | ~$less(0,X6)) ) | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f296])). 15.55/15.69 tff(f465,plain,( 15.55/15.69 ( ! [X14:$int,X15:$int] : (power1(X14,$product(X15,sK0)) = power1(power1(X14,X15),sK0) | $less(X15,0)) ) | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f318])). 15.55/15.69 tff(f474,plain,( 15.55/15.69 ~$less(sK0,abs1(0)) | $less(0,$uminus(sK0)) | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f300])). 15.55/15.69 tff(f475,plain,( 15.55/15.69 ( ! [X34:lpintcm_intcm_intrp] : (num_of1(X34,sK0,0) = 0) ) | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f312])). 15.55/15.69 tff(f480,plain,( 15.55/15.69 ( ! [X39:lpintcm_intcm_intrp,X40:$int] : (~$less(num_of1(X39,X40,sK0),num_of1(X39,X40,0)) | $less(0,X40)) ) | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f332])). 15.55/15.69 tff(f482,plain,( 15.55/15.69 ( ! [X43:lpintcm_intcm_intrp,X44:$int] : (num_of1(X43,X44,sK0) = $sum(num_of1(X43,X44,0),num_of1(X43,0,sK0)) | $less(0,X44)) ) | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f333])). 15.55/15.69 tff(f485,plain,( 15.55/15.69 ( ! [X52:$int,X50:lpintcm_intcm_intrp,X51:$int] : ($less(num_of1(X50,0,sK0),num_of1(X50,0,X51)) | ~p1(X50,X52) | $less(X52,sK0) | ~$less(X52,X51)) ) | ~spl10_3), 15.55/15.69 inference(resolution,[],[f373,f343])). 15.55/15.69 tff(f492,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : ($less($uminus(abs1(X0)),mod2(X1,X0)) | ~$less(sK0,X0)) ) | ~spl10_3), 15.55/15.69 inference(superposition,[],[f373,f283])). 15.55/15.69 tff(f504,plain,( 15.55/15.69 ( ! [X0:lpintcm_intcm_intrp] : (num_of1(X0,9,sK4) = 0) ) | ~spl10_7), 15.55/15.69 inference(resolution,[],[f387,f312])). 15.55/15.69 tff(f509,plain,( 15.55/15.69 ( ! [X6:$int,X5:lpintcm_intcm_intrp] : (~$less(num_of1(X5,X6,9),num_of1(X5,X6,sK4)) | $less(sK4,X6)) ) | ~spl10_7), 15.55/15.69 inference(resolution,[],[f387,f332])). 15.55/15.69 tff(f520,plain,( 15.55/15.69 abs1(sK4) = sK4 | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f275])). 15.55/15.69 tff(f525,plain,( 15.55/15.69 ( ! [X4:$int] : (mod2(sK4,X4) = sK4 | ~$less(sK4,X4)) ) | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f294])). 15.55/15.69 tff(f527,plain,( 15.55/15.69 ( ! [X6:$int] : (~$less(sK4,div2(sK4,X6)) | ~$less(0,X6)) ) | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f296])). 15.55/15.69 tff(f532,plain,( 15.55/15.69 ( ! [X14:$int,X15:$int] : (power1(X14,$product(X15,sK4)) = power1(power1(X14,X15),sK4) | $less(X15,0)) ) | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f318])). 15.55/15.69 tff(f541,plain,( 15.55/15.69 ~$less(sK4,abs1(0)) | $less(0,$uminus(sK4)) | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f300])). 15.55/15.69 tff(f542,plain,( 15.55/15.69 ( ! [X34:lpintcm_intcm_intrp] : (num_of1(X34,sK4,0) = 0) ) | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f312])). 15.55/15.69 tff(f547,plain,( 15.55/15.69 ( ! [X39:lpintcm_intcm_intrp,X40:$int] : (~$less(num_of1(X39,X40,sK4),num_of1(X39,X40,0)) | $less(0,X40)) ) | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f332])). 15.55/15.69 tff(f548,plain,( 15.55/15.69 ( ! [X41:lpintcm_intcm_intrp,X42:$int] : (~$less(num_of1(X41,0,X42),num_of1(X41,0,sK4)) | $less(X42,sK4)) ) | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f332])). 15.55/15.69 tff(f552,plain,( 15.55/15.69 ( ! [X52:$int,X50:lpintcm_intcm_intrp,X51:$int] : ($less(num_of1(X50,0,sK4),num_of1(X50,0,X51)) | ~p1(X50,X52) | $less(X52,sK4) | ~$less(X52,X51)) ) | ~spl10_9), 15.55/15.69 inference(resolution,[],[f394,f343])). 15.55/15.69 tff(f559,plain,( 15.55/15.69 ( ! [X0:$int,X1:$int] : ($less($uminus(abs1(X0)),mod2(X1,X0)) | ~$less(sK4,X0)) ) | ~spl10_9), 15.55/15.69 inference(superposition,[],[f394,f283])). 15.55/15.69 tff(f570,plain,( 15.55/15.69 ~$less(sK0,abs1(1)) | $less(1,$uminus(sK0)) | ~spl10_11), 15.55/15.69 inference(resolution,[],[f401,f300])). 15.55/15.69 tff(f572,plain,( 15.55/15.69 ( ! [X1:$int] : (~$less($product(sK0,X1),$product(1,X1)) | $less(X1,0)) ) | ~spl10_11), 15.55/15.69 inference(resolution,[],[f401,f313])). 15.55/15.69 tff(f580,plain,( 15.55/15.69 ( ! [X14:$int,X15:$int,X13:lpintcm_intcm_intrp] : ($less(num_of1(X13,X14,1),num_of1(X13,X14,X15)) | ~p1(X13,sK0) | $less(1,X14) | ~$less(sK0,X15)) ) | ~spl10_11), 15.55/15.69 inference(resolution,[],[f401,f343])). 15.55/15.69 tff(f589,plain,( 15.55/15.69 ( ! [X1:$int] : (~$less($product(sK0,X1),X1) | $less(X1,0)) ) | ~spl10_11), 15.55/15.69 inference(evaluation,[],[f572])). 15.55/15.69 tff(f594,plain,( 15.55/15.69 spl10_12 <=> abs1(sK1) = sK1), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_12])])). 15.55/15.69 tff(f595,plain,( 15.55/15.69 abs1(sK1) = sK1 | ~spl10_12), 15.55/15.69 inference(avatar_component_clause,[],[f594])). 15.55/15.69 tff(f596,plain,( 15.55/15.69 spl10_12 | spl10_1), 15.55/15.69 inference(avatar_split_clause,[],[f403,f365,f594])). 15.55/15.69 tff(f601,plain,( 15.55/15.69 spl10_15 <=> ~$less(div2($sum($product(137,sK4),sK1),10),0)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_15])])). 15.55/15.69 tff(f602,plain,( 15.55/15.69 ~$less(div2($sum($product(137,sK4),sK1),10),0) | ~spl10_15), 15.55/15.69 inference(avatar_component_clause,[],[f601])). 15.55/15.69 tff(f603,plain,( 15.55/15.69 ~spl10_15), 15.55/15.69 inference(avatar_split_clause,[],[f254,f601])). 15.55/15.69 tff(f608,plain,( 15.55/15.69 spl10_16 <=> abs1(sK0) = sK0), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_16])])). 15.55/15.69 tff(f609,plain,( 15.55/15.69 abs1(sK0) = sK0 | ~spl10_16), 15.55/15.69 inference(avatar_component_clause,[],[f608])). 15.55/15.69 tff(f610,plain,( 15.55/15.69 spl10_16 | spl10_3), 15.55/15.69 inference(avatar_split_clause,[],[f453,f372,f608])). 15.55/15.69 tff(f615,plain,( 15.55/15.69 spl10_18 <=> abs1(sK4) = sK4), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_18])])). 15.55/15.69 tff(f616,plain,( 15.55/15.69 abs1(sK4) = sK4 | ~spl10_18), 15.55/15.69 inference(avatar_component_clause,[],[f615])). 15.55/15.69 tff(f617,plain,( 15.55/15.69 spl10_18 | spl10_9), 15.55/15.69 inference(avatar_split_clause,[],[f520,f393,f615])). 15.55/15.69 tff(f618,plain,( 15.55/15.69 abs1(div2($sum($product(137,sK4),sK1),10)) = div2($sum($product(137,sK4),sK1),10) | ~spl10_15), 15.55/15.69 inference(resolution,[],[f602,f275])). 15.55/15.69 tff(f673,plain,( 15.55/15.69 ( ! [X1:$int] : ($less($uminus(sK1),mod2(X1,sK1)) | 0 = sK1) ) | ~spl10_12), 15.55/15.69 inference(superposition,[],[f283,f595])). 15.55/15.69 tff(f674,plain,( 15.55/15.69 ( ! [X2:$int] : ($less(mod2(X2,sK1),sK1) | 0 = sK1) ) | ~spl10_12), 15.55/15.69 inference(superposition,[],[f284,f595])). 15.55/15.69 tff(f678,plain,( 15.55/15.69 ~$less($quotient_e($sum($product(137,sK4),sK1),10),0) | ~spl10_15), 15.55/15.69 inference(backward_demodulation,[],[f257,f602])). 15.55/15.69 tff(f683,plain,( 15.55/15.69 spl10_20 <=> div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_20])])). 15.55/15.69 tff(f684,plain,( 15.55/15.69 div2($sum($product(137,sK4),sK1),10) = $quotient_e($sum($product(137,sK4),sK1),10) | ~spl10_20), 15.55/15.69 inference(avatar_component_clause,[],[f683])). 15.55/15.69 tff(f685,plain,( 15.55/15.69 spl10_20), 15.55/15.69 inference(avatar_split_clause,[],[f257,f683])). 15.55/15.69 tff(f690,plain,( 15.55/15.69 ( ! [X1:$int] : ($less($uminus(sK0),mod2(X1,sK0)) | 0 = sK0) ) | ~spl10_16), 15.55/15.69 inference(superposition,[],[f283,f609])). 15.55/15.69 tff(f691,plain,( 15.55/15.69 ( ! [X2:$int] : ($less(mod2(X2,sK0),sK0) | 0 = sK0) ) | ~spl10_16), 15.55/15.69 inference(superposition,[],[f284,f609])). 15.55/15.69 tff(f699,plain,( 15.55/15.69 ( ! [X1:$int] : ($less($uminus(sK4),mod2(X1,sK4)) | 0 = sK4) ) | ~spl10_18), 15.55/15.69 inference(superposition,[],[f283,f616])). 15.55/15.69 tff(f700,plain,( 15.55/15.69 ( ! [X2:$int] : ($less(mod2(X2,sK4),sK4) | 0 = sK4) ) | ~spl10_18), 15.55/15.69 inference(superposition,[],[f284,f616])). 15.55/15.69 tff(f708,plain,( 15.55/15.69 spl10_23 <=> ~$less($quotient_e($sum($product(137,sK4),sK1),10),0)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_23])])). 15.55/15.69 tff(f709,plain,( 15.55/15.69 ~$less($quotient_e($sum($product(137,sK4),sK1),10),0) | ~spl10_23), 15.55/15.69 inference(avatar_component_clause,[],[f708])). 15.55/15.69 tff(f710,plain,( 15.55/15.69 ~spl10_23 | spl10_15), 15.55/15.69 inference(avatar_split_clause,[],[f678,f601,f708])). 15.55/15.69 tff(f788,plain,( 15.55/15.69 abs1($quotient_e($sum($product(137,sK4),sK1),10)) = $quotient_e($sum($product(137,sK4),sK1),10) | ~spl10_23), 15.55/15.69 inference(resolution,[],[f709,f275])). 15.55/15.69 tff(f997,plain,( 15.55/15.69 spl10_24 <=> mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_24])])). 15.55/15.69 tff(f998,plain,( 15.55/15.69 mod2($sum($product(137,sK4),sK1),10) = $remainder_e($sum($product(137,sK4),sK1),10) | ~spl10_24), 15.55/15.69 inference(avatar_component_clause,[],[f997])). 15.55/15.69 tff(f999,plain,( 15.55/15.69 spl10_24), 15.55/15.69 inference(avatar_split_clause,[],[f258,f997])). 15.55/15.69 tff(f1077,plain,( 15.55/15.69 0 = $quotient_e($sum($product(137,sK4),sK1),10) | ~$less($sum($product(137,sK4),sK1),10) | $less($sum($product(137,sK4),sK1),0) | ~spl10_20), 15.55/15.69 inference(superposition,[],[f684,f295])). 15.55/15.69 tff(f1078,plain,( 15.55/15.69 ~$less(abs1($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | 0 = 10 | ~spl10_20), 15.55/15.69 inference(superposition,[],[f281,f684])). 15.55/15.69 tff(f1079,plain,( 15.55/15.69 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),mod2($sum($product(137,sK4),sK1),10)) | 0 = 10 | ~spl10_20), 15.55/15.69 inference(superposition,[],[f282,f684])). 15.55/15.69 tff(f1081,plain,( 15.55/15.69 ~$less(0,$quotient_e($sum($product(137,sK4),sK1),10)) | ~$less(0,10) | $less(0,$sum($product(137,sK4),sK1)) | ~spl10_20), 15.55/15.69 inference(superposition,[],[f292,f684])). 15.55/15.69 tff(f1083,plain,( 15.55/15.69 ~$less($sum($product(137,sK4),sK1),$quotient_e($sum($product(137,sK4),sK1),10)) | ~$less(0,10) | $less($sum($product(137,sK4),sK1),0) | ~spl10_20), 15.55/15.69 inference(superposition,[],[f296,f684])). 15.55/15.69 tff(f1086,plain,( 15.55/15.69 ~$less($sum($product(137,sK4),sK1),$quotient_e($sum($product(137,sK4),sK1),10)) | $less($sum($product(137,sK4),sK1),0) | ~spl10_20), 15.55/15.69 inference(evaluation,[],[f1083])). 15.55/15.69 tff(f1087,plain,( 15.55/15.69 ~$less(0,$quotient_e($sum($product(137,sK4),sK1),10)) | $less(0,$sum($product(137,sK4),sK1)) | ~spl10_20), 15.55/15.69 inference(evaluation,[],[f1081])). 15.55/15.69 tff(f1089,plain,( 15.55/15.69 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),mod2($sum($product(137,sK4),sK1),10)) | ~spl10_20), 15.55/15.69 inference(evaluation,[],[f1079])). 15.55/15.69 tff(f1090,plain,( 15.55/15.69 ~$less(abs1($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10))) | ~spl10_20), 15.55/15.69 inference(evaluation,[],[f1078])). 15.55/15.69 tff(f1172,plain,( 15.55/15.69 ~$less($remainder_e($sum($product(137,sK4),sK1),10),0) | 0 = 10 | $less($sum($product(137,sK4),sK1),0) | ~spl10_24), 15.55/15.69 inference(superposition,[],[f293,f998])). 15.55/15.69 tff(f1174,plain,( 15.55/15.69 $less($uminus(abs1(10)),$remainder_e($sum($product(137,sK4),sK1),10)) | 0 = 10 | ~spl10_24), 15.55/15.69 inference(superposition,[],[f283,f998])). 15.55/15.69 tff(f1175,plain,( 15.55/15.69 $less($remainder_e($sum($product(137,sK4),sK1),10),abs1(10)) | 0 = 10 | ~spl10_24), 15.55/15.69 inference(superposition,[],[f284,f998])). 15.55/15.69 tff(f1176,plain,( 15.55/15.69 $sum($product(137,sK4),sK1) = $sum($product(10,div2($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | 0 = 10 | ~spl10_24), 15.55/15.69 inference(superposition,[],[f282,f998])). 15.55/15.69 tff(f1177,plain,( 15.55/15.69 $sum($product(137,sK4),sK1) = $sum($product(10,div2($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_24), 15.55/15.69 inference(evaluation,[],[f1176])). 15.55/15.69 tff(f1178,plain,( 15.55/15.69 $less($remainder_e($sum($product(137,sK4),sK1),10),abs1(10)) | ~spl10_24), 15.55/15.69 inference(evaluation,[],[f1175])). 15.55/15.69 tff(f1179,plain,( 15.55/15.69 $less($uminus(abs1(10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_24), 15.55/15.69 inference(evaluation,[],[f1174])). 15.55/15.69 tff(f1181,plain,( 15.55/15.69 ~$less($remainder_e($sum($product(137,sK4),sK1),10),0) | $less($sum($product(137,sK4),sK1),0) | ~spl10_24), 15.55/15.69 inference(evaluation,[],[f1172])). 15.55/15.69 tff(f1182,plain,( 15.55/15.69 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | (~spl10_20 | ~spl10_24)), 15.55/15.69 inference(forward_demodulation,[],[f1177,f684])). 15.55/15.69 tff(f1206,plain,( 15.55/15.69 spl10_26 <=> num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = sK3), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_26])])). 15.55/15.69 tff(f1207,plain,( 15.55/15.69 num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) = sK3 | ~spl10_26), 15.55/15.69 inference(avatar_component_clause,[],[f1206])). 15.55/15.69 tff(f1208,plain,( 15.55/15.69 spl10_26), 15.55/15.69 inference(avatar_split_clause,[],[f253,f1206])). 15.55/15.69 tff(f1253,plain,( 15.55/15.69 0 = sK3 | $less(0,power1(10,sK0)) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f1207,f312])). 15.55/15.69 tff(f1257,plain,( 15.55/15.69 0 = sK3 | ~$less(sK7(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f1207,f322])). 15.55/15.69 tff(f1258,plain,( 15.55/15.69 0 = sK3 | $less(sK7(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f1207,f323])). 15.55/15.69 tff(f1259,plain,( 15.55/15.69 0 = sK3 | p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK7(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f1207,f324])). 15.55/15.69 tff(f1261,plain,( 15.55/15.69 ~$less(sK3,0) | ~$less(0,power1(10,sK0)) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f302,f1207])). 15.55/15.69 tff(f1262,plain,( 15.55/15.69 ~$less($sum(power1(10,sK0),$uminus(0)),sK3) | ~$less(0,power1(10,sK0)) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f303,f1207])). 15.55/15.69 tff(f1264,plain,( 15.55/15.69 $sum(power1(10,sK0),$uminus(0)) = sK3 | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f314,f1207])). 15.55/15.69 tff(f1265,plain,( 15.55/15.69 $sum(power1(10,sK0),$uminus(0)) = sK3 | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f315,f1207])). 15.55/15.69 tff(f1270,plain,( 15.55/15.69 ( ! [X0:$int] : (~$less(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X0),sK3) | $less(power1(10,sK0),0) | $less(X0,power1(10,sK0))) ) | ~spl10_26), 15.55/15.69 inference(superposition,[],[f332,f1207])). 15.55/15.69 tff(f1294,plain,( 15.55/15.69 $sum(power1(10,sK0),0) = sK3 | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_26), 15.55/15.69 inference(evaluation,[],[f1265])). 15.55/15.69 tff(f1295,plain,( 15.55/15.69 power1(10,sK0) = sK3 | $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0)) | $less(power1(10,sK0),0) | ~spl10_26), 15.55/15.69 inference(evaluation,[],[f1294])). 15.55/15.69 tff(f1296,plain,( 15.55/15.69 $sum(power1(10,sK0),0) = sK3 | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_26), 15.55/15.69 inference(evaluation,[],[f1264])). 15.55/15.69 tff(f1297,plain,( 15.55/15.69 power1(10,sK0) = sK3 | ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0) | $less(power1(10,sK0),0) | ~spl10_26), 15.55/15.69 inference(evaluation,[],[f1296])). 15.55/15.69 tff(f1298,plain,( 15.55/15.69 ~$less($sum(power1(10,sK0),0),sK3) | ~$less(0,power1(10,sK0)) | ~spl10_26), 15.55/15.69 inference(evaluation,[],[f1262])). 15.55/15.69 tff(f1299,plain,( 15.55/15.69 ~$less(power1(10,sK0),sK3) | ~$less(0,power1(10,sK0)) | ~spl10_26), 15.55/15.69 inference(evaluation,[],[f1298])). 15.55/15.69 tff(f1363,plain,( 15.55/15.69 spl10_29 <=> num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)) != $sum(sK5,$uminus(sK3))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_29])])). 15.55/15.69 tff(f1365,plain,( 15.55/15.69 ~spl10_29), 15.55/15.69 inference(avatar_split_clause,[],[f259,f1363])). 15.55/15.69 tff(f1418,plain,( 15.55/15.69 0 = sK1 | ~$less(sK1,1) | ~spl10_1), 15.55/15.69 inference(superposition,[],[f408,f271])). 15.55/15.69 tff(f1436,plain,( 15.55/15.69 spl10_31 <=> ~$less(sK1,1)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_31])])). 15.55/15.69 tff(f1437,plain,( 15.55/15.69 ~$less(sK1,1) | ~spl10_31), 15.55/15.69 inference(avatar_component_clause,[],[f1436])). 15.55/15.69 tff(f1442,plain,( 15.55/15.69 spl10_32 <=> 0 = sK1), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_32])])). 15.55/15.69 tff(f1444,plain,( 15.55/15.69 ~spl10_31 | spl10_32 | spl10_1), 15.55/15.69 inference(avatar_split_clause,[],[f1418,f365,f1442,f1436])). 15.55/15.69 tff(f1445,plain,( 15.55/15.69 $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1(div2($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) = sK5 | ~spl10_24), 15.55/15.69 inference(forward_demodulation,[],[f360,f998])). 15.55/15.69 tff(f1446,plain,( 15.55/15.69 $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) = sK5 | (~spl10_20 | ~spl10_24)), 15.55/15.69 inference(forward_demodulation,[],[f1445,f684])). 15.55/15.69 tff(f1447,plain,( 15.55/15.69 ~$less(sK1,abs1(1)) | $less(1,$uminus(sK1)) | ~spl10_31), 15.55/15.69 inference(resolution,[],[f1437,f300])). 15.55/15.69 tff(f1471,plain,( 15.55/15.69 spl10_34 <=> $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) = sK5), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_34])])). 15.55/15.69 tff(f1472,plain,( 15.55/15.69 $sum(sK3,num_of1(tb2t(tuple31(int,int,int,t2tb1($quotient_e($sum($product(137,sK4),sK1),10)),t2tb1($sum($sum($remainder_e($sum($product(137,sK4),sK1),10),sK2),$uminus(sK4))),t2tb1(10))),0,power1(10,$sum(sK0,-1)))) = sK5 | ~spl10_34), 15.55/15.69 inference(avatar_component_clause,[],[f1471])). 15.55/15.69 tff(f1473,plain,( 15.55/15.69 spl10_34 | ~spl10_20 | ~spl10_24), 15.55/15.69 inference(avatar_split_clause,[],[f1446,f997,f683,f1471])). 15.55/15.69 tff(f1558,plain,( 15.55/15.69 $sum(sK3,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) = sK5 | ~$less(0,sK0) | $less(sK4,0) | ~$less(sK4,10) | $less(sK1,0) | ~spl10_34), 15.55/15.69 inference(superposition,[],[f1472,f357])). 15.55/15.69 tff(f1559,plain,( 15.55/15.69 $sum(sK3,0) = sK5 | $less(0,power1(10,$sum(sK0,-1))) | ~spl10_34), 15.55/15.69 inference(superposition,[],[f1472,f312])). 15.55/15.69 tff(f1575,plain,( 15.55/15.69 sK3 = sK5 | $less(0,power1(10,$sum(sK0,-1))) | ~spl10_34), 15.55/15.69 inference(evaluation,[],[f1559])). 15.55/15.69 tff(f1606,plain,( 15.55/15.69 ~$less(sK1,sK1) | ~$less(0,1) | ~spl10_1), 15.55/15.69 inference(superposition,[],[f410,f265])). 15.55/15.69 tff(f1608,plain,( 15.55/15.69 ~$less(sK1,sK1) | ~spl10_1), 15.55/15.69 inference(evaluation,[],[f1606])). 15.55/15.69 tff(f1613,plain,( 15.55/15.69 spl10_37 <=> ~$less(sK1,sK1)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_37])])). 15.55/15.69 tff(f1615,plain,( 15.55/15.69 ~spl10_37 | spl10_1), 15.55/15.69 inference(avatar_split_clause,[],[f1608,f365,f1613])). 15.55/15.69 tff(f1617,plain,( 15.55/15.69 spl10_39 <=> ~$less(0,$uminus(sK1))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_39])])). 15.55/15.69 tff(f1618,plain,( 15.55/15.69 ~$less(0,$uminus(sK1)) | ~spl10_39), 15.55/15.69 inference(avatar_component_clause,[],[f1617])). 15.55/15.69 tff(f1620,plain,( 15.55/15.69 spl10_38 <=> $less(0,$uminus(sK1))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_38])])). 15.55/15.69 tff(f1626,plain,( 15.55/15.69 spl10_41 <=> ~$less(sK1,abs1(0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_41])])). 15.55/15.69 tff(f1627,plain,( 15.55/15.69 ~$less(sK1,abs1(0)) | ~spl10_41), 15.55/15.69 inference(avatar_component_clause,[],[f1626])). 15.55/15.69 tff(f1628,plain,( 15.55/15.69 spl10_38 | ~spl10_41 | spl10_1), 15.55/15.69 inference(avatar_split_clause,[],[f424,f365,f1626,f1620])). 15.55/15.69 tff(f1646,plain,( 15.55/15.69 ~$less(0,$uminus(sK1)) | ~spl10_41), 15.55/15.69 inference(resolution,[],[f1627,f298])). 15.55/15.69 tff(f1724,plain,( 15.55/15.69 ~spl10_39 | spl10_41), 15.55/15.69 inference(avatar_split_clause,[],[f1646,f1626,f1617])). 15.55/15.69 tff(f1727,plain,( 15.55/15.69 sum_digits1($uminus(sK1)) = 0 | ~spl10_39), 15.55/15.69 inference(resolution,[],[f1618,f276])). 15.55/15.69 tff(f1760,plain,( 15.55/15.69 spl10_42 <=> sum_digits1($uminus(sK1)) = 0), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_42])])). 15.55/15.69 tff(f1762,plain,( 15.55/15.69 spl10_42 | spl10_39), 15.55/15.69 inference(avatar_split_clause,[],[f1727,f1617,f1760])). 15.55/15.69 tff(f2113,plain,( 15.55/15.69 ~$less(sK0,sK0) | ~$less(0,1) | ~spl10_3), 15.55/15.69 inference(superposition,[],[f460,f265])). 15.55/15.69 tff(f2115,plain,( 15.55/15.69 ~$less(sK0,sK0) | ~spl10_3), 15.55/15.69 inference(evaluation,[],[f2113])). 15.55/15.69 tff(f2120,plain,( 15.55/15.69 spl10_45 <=> ~$less(sK0,sK0)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_45])])). 15.55/15.69 tff(f2122,plain,( 15.55/15.69 ~spl10_45 | spl10_3), 15.55/15.69 inference(avatar_split_clause,[],[f2115,f372,f2120])). 15.55/15.69 tff(f2189,plain,( 15.55/15.69 spl10_47 <=> ~$less(0,$uminus(sK0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_47])])). 15.55/15.69 tff(f2190,plain,( 15.55/15.69 ~$less(0,$uminus(sK0)) | ~spl10_47), 15.55/15.69 inference(avatar_component_clause,[],[f2189])). 15.55/15.69 tff(f2192,plain,( 15.55/15.69 spl10_46 <=> $less(0,$uminus(sK0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_46])])). 15.55/15.69 tff(f2198,plain,( 15.55/15.69 spl10_49 <=> ~$less(sK0,abs1(0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_49])])). 15.55/15.69 tff(f2199,plain,( 15.55/15.69 ~$less(sK0,abs1(0)) | ~spl10_49), 15.55/15.69 inference(avatar_component_clause,[],[f2198])). 15.55/15.69 tff(f2200,plain,( 15.55/15.69 spl10_46 | ~spl10_49 | spl10_3), 15.55/15.69 inference(avatar_split_clause,[],[f474,f372,f2198,f2192])). 15.55/15.69 tff(f2201,plain,( 15.55/15.69 ~$less(0,$uminus(sK0)) | ~spl10_49), 15.55/15.69 inference(resolution,[],[f2199,f298])). 15.55/15.69 tff(f2228,plain,( 15.55/15.69 ~spl10_47 | spl10_49), 15.55/15.69 inference(avatar_split_clause,[],[f2201,f2198,f2189])). 15.55/15.69 tff(f2231,plain,( 15.55/15.69 sum_digits1($uminus(sK0)) = 0 | ~spl10_47), 15.55/15.69 inference(resolution,[],[f2190,f276])). 15.55/15.69 tff(f2264,plain,( 15.55/15.69 spl10_50 <=> sum_digits1($uminus(sK0)) = 0), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_50])])). 15.55/15.69 tff(f2266,plain,( 15.55/15.69 spl10_50 | spl10_47), 15.55/15.69 inference(avatar_split_clause,[],[f2231,f2189,f2264])). 15.55/15.69 tff(f2582,plain,( 15.55/15.69 0 = sK4 | ~$less(sK4,1) | ~spl10_9), 15.55/15.69 inference(superposition,[],[f525,f271])). 15.55/15.69 tff(f2594,plain,( 15.55/15.69 spl10_53 <=> ~$less(sK4,1)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_53])])). 15.55/15.69 tff(f2595,plain,( 15.55/15.69 ~$less(sK4,1) | ~spl10_53), 15.55/15.69 inference(avatar_component_clause,[],[f2594])). 15.55/15.69 tff(f2600,plain,( 15.55/15.69 spl10_54 <=> 0 = sK4), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_54])])). 15.55/15.69 tff(f2602,plain,( 15.55/15.69 ~spl10_53 | spl10_54 | spl10_9), 15.55/15.69 inference(avatar_split_clause,[],[f2582,f393,f2600,f2594])). 15.55/15.69 tff(f2616,plain,( 15.55/15.69 ~$less(sK4,abs1(1)) | $less(1,$uminus(sK4)) | ~spl10_53), 15.55/15.69 inference(resolution,[],[f2595,f300])). 15.55/15.69 tff(f2653,plain,( 15.55/15.69 ~$less(sK4,sK4) | ~$less(0,1) | ~spl10_9), 15.55/15.69 inference(superposition,[],[f527,f265])). 15.55/15.69 tff(f2655,plain,( 15.55/15.69 ~$less(sK4,sK4) | ~spl10_9), 15.55/15.69 inference(evaluation,[],[f2653])). 15.55/15.69 tff(f2660,plain,( 15.55/15.69 spl10_57 <=> ~$less(sK4,sK4)), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_57])])). 15.55/15.69 tff(f2662,plain,( 15.55/15.69 ~spl10_57 | spl10_9), 15.55/15.69 inference(avatar_split_clause,[],[f2655,f393,f2660])). 15.55/15.69 tff(f2681,plain,( 15.55/15.69 spl10_59 <=> ~$less(0,$uminus(sK4))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_59])])). 15.55/15.69 tff(f2682,plain,( 15.55/15.69 ~$less(0,$uminus(sK4)) | ~spl10_59), 15.55/15.69 inference(avatar_component_clause,[],[f2681])). 15.55/15.69 tff(f2684,plain,( 15.55/15.69 spl10_58 <=> $less(0,$uminus(sK4))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_58])])). 15.55/15.69 tff(f2690,plain,( 15.55/15.69 spl10_61 <=> ~$less(sK4,abs1(0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_61])])). 15.55/15.69 tff(f2691,plain,( 15.55/15.69 ~$less(sK4,abs1(0)) | ~spl10_61), 15.55/15.69 inference(avatar_component_clause,[],[f2690])). 15.55/15.69 tff(f2692,plain,( 15.55/15.69 spl10_58 | ~spl10_61 | spl10_9), 15.55/15.69 inference(avatar_split_clause,[],[f541,f393,f2690,f2684])). 15.55/15.69 tff(f2693,plain,( 15.55/15.69 ~$less(0,$uminus(sK4)) | ~spl10_61), 15.55/15.69 inference(resolution,[],[f2691,f298])). 15.55/15.69 tff(f2720,plain,( 15.55/15.69 ~spl10_59 | spl10_61), 15.55/15.69 inference(avatar_split_clause,[],[f2693,f2690,f2681])). 15.55/15.69 tff(f2723,plain,( 15.55/15.69 sum_digits1($uminus(sK4)) = 0 | ~spl10_59), 15.55/15.69 inference(resolution,[],[f2682,f276])). 15.55/15.69 tff(f2756,plain,( 15.55/15.69 spl10_62 <=> sum_digits1($uminus(sK4)) = 0), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_62])])). 15.55/15.69 tff(f2758,plain,( 15.55/15.69 spl10_62 | spl10_59), 15.55/15.69 inference(avatar_split_clause,[],[f2723,f2681,f2756])). 15.55/15.69 tff(f2813,plain,( 15.55/15.69 spl10_65 <=> ~$less(1,$uminus(sK0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_65])])). 15.55/15.69 tff(f2814,plain,( 15.55/15.69 ~$less(1,$uminus(sK0)) | ~spl10_65), 15.55/15.69 inference(avatar_component_clause,[],[f2813])). 15.55/15.69 tff(f2816,plain,( 15.55/15.69 spl10_64 <=> $less(1,$uminus(sK0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_64])])). 15.55/15.69 tff(f2822,plain,( 15.55/15.69 spl10_67 <=> ~$less(sK0,abs1(1))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_67])])). 15.55/15.69 tff(f2823,plain,( 15.55/15.69 ~$less(sK0,abs1(1)) | ~spl10_67), 15.55/15.69 inference(avatar_component_clause,[],[f2822])). 15.55/15.69 tff(f2824,plain,( 15.55/15.69 spl10_64 | ~spl10_67 | spl10_11), 15.55/15.69 inference(avatar_split_clause,[],[f570,f400,f2822,f2816])). 15.55/15.69 tff(f2825,plain,( 15.55/15.69 ~$less(1,$uminus(sK0)) | ~spl10_67), 15.55/15.69 inference(resolution,[],[f2823,f298])). 15.55/15.69 tff(f2864,plain,( 15.55/15.69 $less(0,0) | abs1($product(sK0,0)) = $product(sK0,0) | ~spl10_11), 15.55/15.69 inference(resolution,[],[f589,f275])). 15.55/15.69 tff(f2869,plain,( 15.55/15.69 ( ! [X53:$int] : ($less(0,0) | mod2($product(sK0,0),X53) = $product(sK0,0) | ~$less($product(sK0,0),X53)) ) | ~spl10_11), 15.55/15.69 inference(resolution,[],[f589,f294])). 15.55/15.69 tff(f2917,plain,( 15.55/15.69 ( ! [X53:$int] : (mod2(0,X53) = 0 | ~$less(0,X53)) ) | ~spl10_11), 15.55/15.69 inference(evaluation,[],[f2869])). 15.55/15.69 tff(f2923,plain,( 15.55/15.69 abs1(0) = 0 | ~spl10_11), 15.55/15.69 inference(evaluation,[],[f2864])). 15.55/15.69 tff(f2935,plain,( 15.55/15.69 ~spl10_65 | spl10_67), 15.55/15.69 inference(avatar_split_clause,[],[f2825,f2822,f2813])). 15.55/15.69 tff(f2937,plain,( 15.55/15.69 ~$less(1,abs1($uminus(sK0))) | $less($uminus(sK0),$uminus(1)) | ~spl10_65), 15.55/15.69 inference(resolution,[],[f2814,f300])). 15.55/15.69 tff(f2939,plain,( 15.55/15.69 ( ! [X1:$int] : (~$less($product(1,X1),$product($uminus(sK0),X1)) | $less(X1,0)) ) | ~spl10_65), 15.55/15.69 inference(resolution,[],[f2814,f313])). 15.55/15.69 tff(f2953,plain,( 15.55/15.69 ( ! [X1:$int] : (~$less(X1,$product($uminus(sK0),X1)) | $less(X1,0)) ) | ~spl10_65), 15.55/15.69 inference(evaluation,[],[f2939])). 15.55/15.69 tff(f2954,plain,( 15.55/15.69 ~$less(1,abs1($uminus(sK0))) | $less($uminus(sK0),-1) | ~spl10_65), 15.55/15.69 inference(evaluation,[],[f2937])). 15.55/15.69 tff(f2956,plain,( 15.55/15.69 spl10_69 <=> ~$less(0,power1(10,sK0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_69])])). 15.55/15.69 tff(f2959,plain,( 15.55/15.69 spl10_68 <=> $less(0,power1(10,sK0))), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_68])])). 15.55/15.69 tff(f2960,plain,( 15.55/15.69 $less(0,power1(10,sK0)) | ~spl10_68), 15.55/15.69 inference(avatar_component_clause,[],[f2959])). 15.55/15.69 tff(f2965,plain,( 15.55/15.69 spl10_70 <=> 0 = sK3), 15.55/15.69 introduced(avatar_definition,[new_symbols(naming,[spl10_70])])). 15.55/15.69 tff(f2967,plain,( 15.55/15.69 spl10_68 | spl10_70 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1253,f1206,f2965,f2959])). 15.55/15.70 tff(f2977,plain,( 15.55/15.70 spl10_72 <=> abs1(0) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_72])])). 15.55/15.70 tff(f2979,plain,( 15.55/15.70 spl10_72 | spl10_11), 15.55/15.70 inference(avatar_split_clause,[],[f2923,f400,f2977])). 15.55/15.70 tff(f2991,plain,( 15.55/15.70 mod2(0,power1(10,sK0)) = 0 | $less(0,0) | ~spl10_68), 15.55/15.70 inference(resolution,[],[f2960,f294])). 15.55/15.70 tff(f2992,plain,( 15.55/15.70 div2(0,power1(10,sK0)) = 0 | $less(0,0) | ~spl10_68), 15.55/15.70 inference(resolution,[],[f2960,f295])). 15.55/15.70 tff(f2993,plain,( 15.55/15.70 $less(0,abs1(power1(10,sK0))) | ~spl10_68), 15.55/15.70 inference(resolution,[],[f2960,f299])). 15.55/15.70 tff(f3015,plain,( 15.55/15.70 div2(0,power1(10,sK0)) = 0 | ~spl10_68), 15.55/15.70 inference(evaluation,[],[f2992])). 15.55/15.70 tff(f3016,plain,( 15.55/15.70 mod2(0,power1(10,sK0)) = 0 | ~spl10_68), 15.55/15.70 inference(evaluation,[],[f2991])). 15.55/15.70 tff(f3036,plain,( 15.55/15.70 spl10_75 <=> ~$less(sK3,0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_75])])). 15.55/15.70 tff(f3037,plain,( 15.55/15.70 ~$less(sK3,0) | ~spl10_75), 15.55/15.70 inference(avatar_component_clause,[],[f3036])). 15.55/15.70 tff(f3038,plain,( 15.55/15.70 ~spl10_69 | ~spl10_75 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1261,f1206,f3036,f2956])). 15.55/15.70 tff(f3039,plain,( 15.55/15.70 abs1(sK3) = sK3 | ~spl10_75), 15.55/15.70 inference(resolution,[],[f3037,f275])). 15.55/15.70 tff(f3044,plain,( 15.55/15.70 ( ! [X4:$int] : (mod2(sK3,X4) = sK3 | ~$less(sK3,X4)) ) | ~spl10_75), 15.55/15.70 inference(resolution,[],[f3037,f294])). 15.55/15.70 tff(f3046,plain,( 15.55/15.70 ( ! [X6:$int] : (~$less(sK3,div2(sK3,X6)) | ~$less(0,X6)) ) | ~spl10_75), 15.55/15.70 inference(resolution,[],[f3037,f296])). 15.55/15.70 tff(f3061,plain,( 15.55/15.70 ( ! [X34:lpintcm_intcm_intrp] : (num_of1(X34,sK3,0) = 0) ) | ~spl10_75), 15.55/15.70 inference(resolution,[],[f3037,f312])). 15.55/15.70 tff(f3094,plain,( 15.55/15.70 spl10_76 <=> abs1(sK3) = sK3), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_76])])). 15.55/15.70 tff(f3095,plain,( 15.55/15.70 abs1(sK3) = sK3 | ~spl10_76), 15.55/15.70 inference(avatar_component_clause,[],[f3094])). 15.55/15.70 tff(f3096,plain,( 15.55/15.70 spl10_76 | spl10_75), 15.55/15.70 inference(avatar_split_clause,[],[f3039,f3036,f3094])). 15.55/15.70 tff(f3101,plain,( 15.55/15.70 ( ! [X1:$int] : ($less($uminus(sK3),mod2(X1,sK3)) | 0 = sK3) ) | ~spl10_76), 15.55/15.70 inference(superposition,[],[f283,f3095])). 15.55/15.70 tff(f3102,plain,( 15.55/15.70 ( ! [X2:$int] : ($less(mod2(X2,sK3),sK3) | 0 = sK3) ) | ~spl10_76), 15.55/15.70 inference(superposition,[],[f284,f3095])). 15.55/15.70 tff(f3140,plain,( 15.55/15.70 spl10_78 <=> $less(0,abs1(power1(10,sK0)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_78])])). 15.55/15.70 tff(f3141,plain,( 15.55/15.70 $less(0,abs1(power1(10,sK0))) | ~spl10_78), 15.55/15.70 inference(avatar_component_clause,[],[f3140])). 15.55/15.70 tff(f3142,plain,( 15.55/15.70 spl10_78 | ~spl10_68), 15.55/15.70 inference(avatar_split_clause,[],[f2993,f2959,f3140])). 15.55/15.70 tff(f3262,plain,( 15.55/15.70 mod2(0,abs1(power1(10,sK0))) = 0 | $less(0,0) | ~spl10_78), 15.55/15.70 inference(resolution,[],[f3141,f294])). 15.55/15.70 tff(f3263,plain,( 15.55/15.70 div2(0,abs1(power1(10,sK0))) = 0 | $less(0,0) | ~spl10_78), 15.55/15.70 inference(resolution,[],[f3141,f295])). 15.55/15.70 tff(f3264,plain,( 15.55/15.70 $less(0,abs1(abs1(power1(10,sK0)))) | ~spl10_78), 15.55/15.70 inference(resolution,[],[f3141,f299])). 15.55/15.70 tff(f3288,plain,( 15.55/15.70 div2(0,abs1(power1(10,sK0))) = 0 | ~spl10_78), 15.55/15.70 inference(evaluation,[],[f3263])). 15.55/15.70 tff(f3289,plain,( 15.55/15.70 mod2(0,abs1(power1(10,sK0))) = 0 | ~spl10_78), 15.55/15.70 inference(evaluation,[],[f3262])). 15.55/15.70 tff(f3490,plain,( 15.55/15.70 ( ! [X7:$int] : ($less($uminus(abs1(X7)),sK1) | ~$less(sK1,X7) | ~$less(sK1,X7)) ) | ~spl10_1), 15.55/15.70 inference(superposition,[],[f442,f408])). 15.55/15.70 tff(f3492,plain,( 15.55/15.70 ( ! [X7:$int] : ($less($uminus(abs1(X7)),sK1) | ~$less(sK1,X7)) ) | ~spl10_1), 15.55/15.70 inference(duplicate_literal_removal,[],[f3490])). 15.55/15.70 tff(f3764,plain,( 15.55/15.70 ( ! [X6:$int] : ($less($uminus(abs1(X6)),sK0) | ~$less(sK0,X6) | ~$less(sK0,X6)) ) | ~spl10_3), 15.55/15.70 inference(superposition,[],[f492,f458])). 15.55/15.70 tff(f3767,plain,( 15.55/15.70 ( ! [X6:$int] : ($less($uminus(abs1(X6)),sK0) | ~$less(sK0,X6)) ) | ~spl10_3), 15.55/15.70 inference(duplicate_literal_removal,[],[f3764])). 15.55/15.70 tff(f3773,plain,( 15.55/15.70 spl10_80 <=> div2(0,power1(10,sK0)) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_80])])). 15.55/15.70 tff(f3775,plain,( 15.55/15.70 spl10_80 | ~spl10_68), 15.55/15.70 inference(avatar_split_clause,[],[f3015,f2959,f3773])). 15.55/15.70 tff(f3798,plain,( 15.55/15.70 spl10_82 <=> mod2(0,power1(10,sK0)) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_82])])). 15.55/15.70 tff(f3800,plain,( 15.55/15.70 spl10_82 | ~spl10_68), 15.55/15.70 inference(avatar_split_clause,[],[f3016,f2959,f3798])). 15.55/15.70 tff(f3879,plain,( 15.55/15.70 ( ! [X8:$int] : ($less($uminus(abs1(X8)),sK4) | ~$less(sK4,X8) | ~$less(sK4,X8)) ) | ~spl10_9), 15.55/15.70 inference(superposition,[],[f559,f525])). 15.55/15.70 tff(f3880,plain,( 15.55/15.70 ( ! [X8:$int] : ($less($uminus(abs1(X8)),sK4) | ~$less(sK4,X8)) ) | ~spl10_9), 15.55/15.70 inference(duplicate_literal_removal,[],[f3879])). 15.55/15.70 tff(f3938,plain,( 15.55/15.70 spl10_84 <=> $less($remainder_e($sum($product(137,sK4),sK1),10),abs1(10))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_84])])). 15.55/15.70 tff(f3939,plain,( 15.55/15.70 $less($remainder_e($sum($product(137,sK4),sK1),10),abs1(10)) | ~spl10_84), 15.55/15.70 inference(avatar_component_clause,[],[f3938])). 15.55/15.70 tff(f3940,plain,( 15.55/15.70 spl10_84 | ~spl10_24), 15.55/15.70 inference(avatar_split_clause,[],[f1178,f997,f3938])). 15.55/15.70 tff(f3945,plain,( 15.55/15.70 spl10_86 <=> $less(0,abs1(abs1(power1(10,sK0))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_86])])). 15.55/15.70 tff(f3946,plain,( 15.55/15.70 $less(0,abs1(abs1(power1(10,sK0)))) | ~spl10_86), 15.55/15.70 inference(avatar_component_clause,[],[f3945])). 15.55/15.70 tff(f3947,plain,( 15.55/15.70 spl10_86 | ~spl10_78), 15.55/15.70 inference(avatar_split_clause,[],[f3264,f3140,f3945])). 15.55/15.70 tff(f3952,plain,( 15.55/15.70 spl10_89 <=> ~$less(power1(10,sK0),sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_89])])). 15.55/15.70 tff(f3954,plain,( 15.55/15.70 ~spl10_69 | ~spl10_89 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1299,f1206,f3952,f2956])). 15.55/15.70 tff(f3986,plain,( 15.55/15.70 $less(0,abs1(abs1(abs1(power1(10,sK0))))) | ~spl10_86), 15.55/15.70 inference(resolution,[],[f3946,f299])). 15.55/15.70 tff(f4019,plain,( 15.55/15.70 spl10_90 <=> $less(0,power1(10,$sum(sK0,-1)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_90])])). 15.55/15.70 tff(f4020,plain,( 15.55/15.70 $less(0,power1(10,$sum(sK0,-1))) | ~spl10_90), 15.55/15.70 inference(avatar_component_clause,[],[f4019])). 15.55/15.70 tff(f4025,plain,( 15.55/15.70 spl10_92 <=> sK3 = sK5), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_92])])). 15.55/15.70 tff(f4027,plain,( 15.55/15.70 spl10_90 | spl10_92 | ~spl10_34), 15.55/15.70 inference(avatar_split_clause,[],[f1575,f1471,f4025,f4019])). 15.55/15.70 tff(f4039,plain,( 15.55/15.70 mod2(0,power1(10,$sum(sK0,-1))) = 0 | $less(0,0) | ~spl10_90), 15.55/15.70 inference(resolution,[],[f4020,f294])). 15.55/15.70 tff(f4040,plain,( 15.55/15.70 div2(0,power1(10,$sum(sK0,-1))) = 0 | $less(0,0) | ~spl10_90), 15.55/15.70 inference(resolution,[],[f4020,f295])). 15.55/15.70 tff(f4041,plain,( 15.55/15.70 $less(0,abs1(power1(10,$sum(sK0,-1)))) | ~spl10_90), 15.55/15.70 inference(resolution,[],[f4020,f299])). 15.55/15.70 tff(f4063,plain,( 15.55/15.70 div2(0,power1(10,$sum(sK0,-1))) = 0 | ~spl10_90), 15.55/15.70 inference(evaluation,[],[f4040])). 15.55/15.70 tff(f4064,plain,( 15.55/15.70 mod2(0,power1(10,$sum(sK0,-1))) = 0 | ~spl10_90), 15.55/15.70 inference(evaluation,[],[f4039])). 15.55/15.70 tff(f4082,plain,( 15.55/15.70 $less($remainder_e($sum($product(137,sK4),sK1),10),10) | $less(10,0) | ~spl10_84), 15.55/15.70 inference(superposition,[],[f3939,f275])). 15.55/15.70 tff(f4083,plain,( 15.55/15.70 $less($remainder_e($sum($product(137,sK4),sK1),10),10) | ~spl10_84), 15.55/15.70 inference(evaluation,[],[f4082])). 15.55/15.70 tff(f4085,plain,( 15.55/15.70 spl10_94 <=> ! [X2 : $int] : $less(mod2(X2,sK1),sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_94])])). 15.55/15.70 tff(f4087,plain,( 15.55/15.70 spl10_32 | spl10_94 | ~spl10_12), 15.55/15.70 inference(avatar_split_clause,[],[f674,f594,f4085,f1442])). 15.55/15.70 tff(f4136,plain,( 15.55/15.70 spl10_96 <=> ! [X2 : $int] : $less(mod2(X2,sK0),sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_96])])). 15.55/15.70 tff(f4138,plain,( 15.55/15.70 spl10_4 | spl10_96 | ~spl10_16), 15.55/15.70 inference(avatar_split_clause,[],[f691,f608,f4136,f376])). 15.55/15.70 tff(f4221,plain,( 15.55/15.70 spl10_98 <=> ! [X2 : $int] : $less(mod2(X2,sK4),sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_98])])). 15.55/15.70 tff(f4223,plain,( 15.55/15.70 spl10_54 | spl10_98 | ~spl10_18), 15.55/15.70 inference(avatar_split_clause,[],[f700,f615,f4221,f2600])). 15.55/15.70 tff(f4897,plain,( 15.55/15.70 spl10_100 <=> $less($uminus(abs1(10)),$remainder_e($sum($product(137,sK4),sK1),10))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_100])])). 15.55/15.70 tff(f4898,plain,( 15.55/15.70 $less($uminus(abs1(10)),$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_100), 15.55/15.70 inference(avatar_component_clause,[],[f4897])). 15.55/15.70 tff(f4899,plain,( 15.55/15.70 spl10_100 | ~spl10_24), 15.55/15.70 inference(avatar_split_clause,[],[f1179,f997,f4897])). 15.55/15.70 tff(f4953,plain,( 15.55/15.70 0 = sK3 | ~$less(sK3,1) | ~spl10_75), 15.55/15.70 inference(superposition,[],[f3044,f271])). 15.55/15.70 tff(f4991,plain,( 15.55/15.70 $less($uminus(10),$remainder_e($sum($product(137,sK4),sK1),10)) | $less(10,0) | ~spl10_100), 15.55/15.70 inference(superposition,[],[f4898,f275])). 15.55/15.70 tff(f4992,plain,( 15.55/15.70 $less(-10,$remainder_e($sum($product(137,sK4),sK1),10)) | ~spl10_100), 15.55/15.70 inference(evaluation,[],[f4991])). 15.55/15.70 tff(f4997,plain,( 15.55/15.70 spl10_103 <=> ~$less(sK3,1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_103])])). 15.55/15.70 tff(f4998,plain,( 15.55/15.70 ~$less(sK3,1) | ~spl10_103), 15.55/15.70 inference(avatar_component_clause,[],[f4997])). 15.55/15.70 tff(f4999,plain,( 15.55/15.70 ~spl10_103 | spl10_70 | spl10_75), 15.55/15.70 inference(avatar_split_clause,[],[f4953,f3036,f2965,f4997])). 15.55/15.70 tff(f5041,plain,( 15.55/15.70 ( ! [X16:lpintcm_intcm_intrp] : (~$less(num_of1(X16,sK0,sK1),0) | $less(0,sK0)) ) | (~spl10_1 | ~spl10_3)), 15.55/15.70 inference(superposition,[],[f430,f475])). 15.55/15.70 tff(f5043,plain,( 15.55/15.70 ( ! [X18:lpintcm_intcm_intrp] : (~$less(num_of1(X18,sK3,sK1),0) | $less(0,sK3)) ) | (~spl10_1 | ~spl10_75)), 15.55/15.70 inference(superposition,[],[f430,f3061])). 15.55/15.70 tff(f5044,plain,( 15.55/15.70 ( ! [X19:lpintcm_intcm_intrp] : (~$less(num_of1(X19,sK4,sK1),0) | $less(0,sK4)) ) | (~spl10_1 | ~spl10_9)), 15.55/15.70 inference(superposition,[],[f430,f542])). 15.55/15.70 tff(f5060,plain,( 15.55/15.70 ~$less(sK3,abs1(1)) | $less(1,$uminus(sK3)) | ~spl10_103), 15.55/15.70 inference(resolution,[],[f4998,f300])). 15.55/15.70 tff(f5304,plain,( 15.55/15.70 ~$less(sK3,sK3) | ~$less(0,1) | ~spl10_75), 15.55/15.70 inference(superposition,[],[f3046,f265])). 15.55/15.70 tff(f5306,plain,( 15.55/15.70 ~$less(sK3,sK3) | ~spl10_75), 15.55/15.70 inference(evaluation,[],[f5304])). 15.55/15.70 tff(f5323,plain,( 15.55/15.70 spl10_105 <=> ~$less(sK3,sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_105])])). 15.55/15.70 tff(f5325,plain,( 15.55/15.70 ~spl10_105 | spl10_75), 15.55/15.70 inference(avatar_split_clause,[],[f5306,f3036,f5323])). 15.55/15.70 tff(f5741,plain,( 15.55/15.70 $less($uminus(sK0),sK1) | ~$less(sK1,sK0) | (~spl10_1 | ~spl10_16)), 15.55/15.70 inference(superposition,[],[f3492,f609])). 15.55/15.70 tff(f5743,plain,( 15.55/15.70 $less($uminus(sK3),sK1) | ~$less(sK1,sK3) | (~spl10_1 | ~spl10_76)), 15.55/15.70 inference(superposition,[],[f3492,f3095])). 15.55/15.70 tff(f5744,plain,( 15.55/15.70 $less($uminus(sK4),sK1) | ~$less(sK1,sK4) | (~spl10_1 | ~spl10_18)), 15.55/15.70 inference(superposition,[],[f3492,f616])). 15.55/15.70 tff(f5802,plain,( 15.55/15.70 spl10_107 <=> ~$less(sK1,sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_107])])). 15.55/15.70 tff(f5803,plain,( 15.55/15.70 ~$less(sK1,sK0) | ~spl10_107), 15.55/15.70 inference(avatar_component_clause,[],[f5802])). 15.55/15.70 tff(f5808,plain,( 15.55/15.70 spl10_108 <=> $less($uminus(sK0),sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_108])])). 15.55/15.70 tff(f5810,plain,( 15.55/15.70 ~spl10_107 | spl10_108 | spl10_1 | ~spl10_16), 15.55/15.70 inference(avatar_split_clause,[],[f5741,f608,f365,f5808,f5802])). 15.55/15.70 tff(f5845,plain,( 15.55/15.70 ( ! [X16:lpintcm_intcm_intrp] : (~$less(num_of1(X16,9,9),0) | $less(sK4,9)) ) | ~spl10_7), 15.55/15.70 inference(superposition,[],[f509,f504])). 15.55/15.70 tff(f5854,plain,( 15.55/15.70 ( ! [X0:lpintcm_intcm_intrp] : (num_of1(X0,sK1,sK0) = 0) ) | ~spl10_107), 15.55/15.70 inference(resolution,[],[f5803,f312])). 15.55/15.70 tff(f5985,plain,( 15.55/15.70 spl10_111 <=> ~$less(sK1,sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_111])])). 15.55/15.70 tff(f5991,plain,( 15.55/15.70 spl10_112 <=> $less($uminus(sK3),sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_112])])). 15.55/15.70 tff(f5993,plain,( 15.55/15.70 ~spl10_111 | spl10_112 | spl10_1 | ~spl10_76), 15.55/15.70 inference(avatar_split_clause,[],[f5743,f3094,f365,f5991,f5985])). 15.55/15.70 tff(f6203,plain,( 15.55/15.70 spl10_115 <=> ~$less(sK1,sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_115])])). 15.55/15.70 tff(f6209,plain,( 15.55/15.70 spl10_116 <=> $less($uminus(sK4),sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_116])])). 15.55/15.70 tff(f6211,plain,( 15.55/15.70 ~spl10_115 | spl10_116 | spl10_1 | ~spl10_18), 15.55/15.70 inference(avatar_split_clause,[],[f5744,f615,f365,f6209,f6203])). 15.55/15.70 tff(f6379,plain,( 15.55/15.70 $less($uminus(sK1),sK0) | ~$less(sK0,sK1) | (~spl10_3 | ~spl10_12)), 15.55/15.70 inference(superposition,[],[f3767,f595])). 15.55/15.70 tff(f6380,plain,( 15.55/15.70 $less($uminus(sK3),sK0) | ~$less(sK0,sK3) | (~spl10_3 | ~spl10_76)), 15.55/15.70 inference(superposition,[],[f3767,f3095])). 15.55/15.70 tff(f6381,plain,( 15.55/15.70 $less($uminus(sK4),sK0) | ~$less(sK0,sK4) | (~spl10_3 | ~spl10_18)), 15.55/15.70 inference(superposition,[],[f3767,f616])). 15.55/15.70 tff(f6409,plain,( 15.55/15.70 spl10_119 <=> ~$less(sK0,sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_119])])). 15.55/15.70 tff(f6415,plain,( 15.55/15.70 spl10_120 <=> $less($uminus(sK1),sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_120])])). 15.55/15.70 tff(f6417,plain,( 15.55/15.70 ~spl10_119 | spl10_120 | spl10_3 | ~spl10_12), 15.55/15.70 inference(avatar_split_clause,[],[f6379,f594,f372,f6415,f6409])). 15.55/15.70 tff(f6488,plain,( 15.55/15.70 spl10_123 <=> ~$less(sK0,sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_123])])). 15.55/15.70 tff(f6494,plain,( 15.55/15.70 spl10_124 <=> $less($uminus(sK3),sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_124])])). 15.55/15.70 tff(f6496,plain,( 15.55/15.70 ~spl10_123 | spl10_124 | spl10_3 | ~spl10_76), 15.55/15.70 inference(avatar_split_clause,[],[f6380,f3094,f372,f6494,f6488])). 15.55/15.70 tff(f6570,plain,( 15.55/15.70 spl10_127 <=> ~$less(sK0,sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_127])])). 15.55/15.70 tff(f6576,plain,( 15.55/15.70 spl10_128 <=> $less($uminus(sK4),sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_128])])). 15.55/15.70 tff(f6578,plain,( 15.55/15.70 ~spl10_127 | spl10_128 | spl10_3 | ~spl10_18), 15.55/15.70 inference(avatar_split_clause,[],[f6381,f615,f372,f6576,f6570])). 15.55/15.70 tff(f6916,plain,( 15.55/15.70 $less($uminus(sK0),sK4) | ~$less(sK4,sK0) | (~spl10_9 | ~spl10_16)), 15.55/15.70 inference(superposition,[],[f3880,f609])). 15.55/15.70 tff(f6917,plain,( 15.55/15.70 $less($uminus(sK1),sK4) | ~$less(sK4,sK1) | (~spl10_9 | ~spl10_12)), 15.55/15.70 inference(superposition,[],[f3880,f595])). 15.55/15.70 tff(f6918,plain,( 15.55/15.70 $less($uminus(sK3),sK4) | ~$less(sK4,sK3) | (~spl10_9 | ~spl10_76)), 15.55/15.70 inference(superposition,[],[f3880,f3095])). 15.55/15.70 tff(f6926,plain,( 15.55/15.70 spl10_131 <=> ~$less(sK4,sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_131])])). 15.55/15.70 tff(f6932,plain,( 15.55/15.70 spl10_132 <=> $less($uminus(sK0),sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_132])])). 15.55/15.70 tff(f6934,plain,( 15.55/15.70 ~spl10_131 | spl10_132 | spl10_9 | ~spl10_16), 15.55/15.70 inference(avatar_split_clause,[],[f6916,f608,f393,f6932,f6926])). 15.55/15.70 tff(f7065,plain,( 15.55/15.70 spl10_135 <=> ~$less(sK4,sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_135])])). 15.55/15.70 tff(f7071,plain,( 15.55/15.70 spl10_136 <=> $less($uminus(sK1),sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_136])])). 15.55/15.70 tff(f7073,plain,( 15.55/15.70 ~spl10_135 | spl10_136 | spl10_9 | ~spl10_12), 15.55/15.70 inference(avatar_split_clause,[],[f6917,f594,f393,f7071,f7065])). 15.55/15.70 tff(f7148,plain,( 15.55/15.70 spl10_139 <=> ~$less(sK4,sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_139])])). 15.55/15.70 tff(f7154,plain,( 15.55/15.70 spl10_140 <=> $less($uminus(sK3),sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_140])])). 15.55/15.70 tff(f7156,plain,( 15.55/15.70 ~spl10_139 | spl10_140 | spl10_9 | ~spl10_76), 15.55/15.70 inference(avatar_split_clause,[],[f6918,f3094,f393,f7154,f7148])). 15.55/15.70 tff(f7175,plain,( 15.55/15.70 ( ! [X1:$int] : (power1(1,sK1) = power1(X1,$product(0,sK1)) | $less(0,0)) ) | ~spl10_1), 15.55/15.70 inference(superposition,[],[f415,f272])). 15.55/15.70 tff(f7205,plain,( 15.55/15.70 ( ! [X1:$int] : (power1(1,sK1) = power1(X1,0)) ) | ~spl10_1), 15.55/15.70 inference(evaluation,[],[f7175])). 15.55/15.70 tff(f7207,plain,( 15.55/15.70 power1(1,sK1) = 1 | ~spl10_1), 15.55/15.70 inference(forward_demodulation,[],[f7205,f272])). 15.55/15.70 tff(f7212,plain,( 15.55/15.70 spl10_142 <=> power1(1,sK1) = 1), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_142])])). 15.55/15.70 tff(f7214,plain,( 15.55/15.70 spl10_142 | spl10_1), 15.55/15.70 inference(avatar_split_clause,[],[f7207,f365,f7212])). 15.55/15.70 tff(f7446,plain,( 15.55/15.70 ( ! [X1:$int] : (power1(1,sK0) = power1(X1,$product(0,sK0)) | $less(0,0)) ) | ~spl10_3), 15.55/15.70 inference(superposition,[],[f465,f272])). 15.55/15.70 tff(f7481,plain,( 15.55/15.70 ( ! [X1:$int] : (power1(1,sK0) = power1(X1,0)) ) | ~spl10_3), 15.55/15.70 inference(evaluation,[],[f7446])). 15.55/15.70 tff(f7483,plain,( 15.55/15.70 power1(1,sK0) = 1 | ~spl10_3), 15.55/15.70 inference(forward_demodulation,[],[f7481,f272])). 15.55/15.70 tff(f7488,plain,( 15.55/15.70 spl10_144 <=> power1(1,sK0) = 1), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_144])])). 15.55/15.70 tff(f7490,plain,( 15.55/15.70 spl10_144 | spl10_3), 15.55/15.70 inference(avatar_split_clause,[],[f7483,f372,f7488])). 15.55/15.70 tff(f7671,plain,( 15.55/15.70 spl10_146 <=> $less(0,abs1(power1(10,$sum(sK0,-1))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_146])])). 15.55/15.70 tff(f7673,plain,( 15.55/15.70 spl10_146 | ~spl10_90), 15.55/15.70 inference(avatar_split_clause,[],[f4041,f4019,f7671])). 15.55/15.70 tff(f7716,plain,( 15.55/15.70 ( ! [X1:$int] : (power1(1,sK4) = power1(X1,$product(0,sK4)) | $less(0,0)) ) | ~spl10_9), 15.55/15.70 inference(superposition,[],[f532,f272])). 15.55/15.70 tff(f7756,plain,( 15.55/15.70 ( ! [X1:$int] : (power1(1,sK4) = power1(X1,0)) ) | ~spl10_9), 15.55/15.70 inference(evaluation,[],[f7716])). 15.55/15.70 tff(f7758,plain,( 15.55/15.70 power1(1,sK4) = 1 | ~spl10_9), 15.55/15.70 inference(forward_demodulation,[],[f7756,f272])). 15.55/15.70 tff(f7763,plain,( 15.55/15.70 spl10_148 <=> power1(1,sK4) = 1), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_148])])). 15.55/15.70 tff(f7765,plain,( 15.55/15.70 spl10_148 | spl10_9), 15.55/15.70 inference(avatar_split_clause,[],[f7758,f393,f7763])). 15.55/15.70 tff(f7838,plain,( 15.55/15.70 spl10_151 <=> ~$less(1,$uminus(sK1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_151])])). 15.55/15.70 tff(f7841,plain,( 15.55/15.70 spl10_150 <=> $less(1,$uminus(sK1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_150])])). 15.55/15.70 tff(f7847,plain,( 15.55/15.70 spl10_153 <=> ~$less(sK1,abs1(1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_153])])). 15.55/15.70 tff(f7848,plain,( 15.55/15.70 ~$less(sK1,abs1(1)) | ~spl10_153), 15.55/15.70 inference(avatar_component_clause,[],[f7847])). 15.55/15.70 tff(f7849,plain,( 15.55/15.70 spl10_150 | ~spl10_153 | spl10_31), 15.55/15.70 inference(avatar_split_clause,[],[f1447,f1436,f7847,f7841])). 15.55/15.70 tff(f7928,plain,( 15.55/15.70 ~$less(1,$uminus(sK1)) | ~spl10_153), 15.55/15.70 inference(resolution,[],[f7848,f298])). 15.55/15.70 tff(f8027,plain,( 15.55/15.70 ~spl10_151 | spl10_153), 15.55/15.70 inference(avatar_split_clause,[],[f7928,f7847,f7838])). 15.55/15.70 tff(f8363,plain,( 15.55/15.70 spl10_155 <=> ~$less(1,$uminus(sK4))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_155])])). 15.55/15.70 tff(f8366,plain,( 15.55/15.70 spl10_154 <=> $less(1,$uminus(sK4))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_154])])). 15.55/15.70 tff(f8372,plain,( 15.55/15.70 spl10_157 <=> ~$less(sK4,abs1(1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_157])])). 15.55/15.70 tff(f8373,plain,( 15.55/15.70 ~$less(sK4,abs1(1)) | ~spl10_157), 15.55/15.70 inference(avatar_component_clause,[],[f8372])). 15.55/15.70 tff(f8374,plain,( 15.55/15.70 spl10_154 | ~spl10_157 | spl10_53), 15.55/15.70 inference(avatar_split_clause,[],[f2616,f2594,f8372,f8366])). 15.55/15.70 tff(f8376,plain,( 15.55/15.70 ~$less(1,$uminus(sK4)) | ~spl10_157), 15.55/15.70 inference(resolution,[],[f8373,f298])). 15.55/15.70 tff(f8397,plain,( 15.55/15.70 ~spl10_155 | spl10_157), 15.55/15.70 inference(avatar_split_clause,[],[f8376,f8372,f8363])). 15.55/15.70 tff(f8762,plain,( 15.55/15.70 spl10_158 <=> ! [X2 : $int] : $less(mod2(X2,sK3),sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_158])])). 15.55/15.70 tff(f8764,plain,( 15.55/15.70 spl10_70 | spl10_158 | ~spl10_76), 15.55/15.70 inference(avatar_split_clause,[],[f3102,f3094,f8762,f2965])). 15.55/15.70 tff(f8847,plain,( 15.55/15.70 spl10_160 <=> div2(0,abs1(power1(10,sK0))) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_160])])). 15.55/15.70 tff(f8849,plain,( 15.55/15.70 spl10_160 | ~spl10_78), 15.55/15.70 inference(avatar_split_clause,[],[f3288,f3140,f8847])). 15.55/15.70 tff(f8854,plain,( 15.55/15.70 spl10_162 <=> mod2(0,abs1(power1(10,sK0))) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_162])])). 15.55/15.70 tff(f8856,plain,( 15.55/15.70 spl10_162 | ~spl10_78), 15.55/15.70 inference(avatar_split_clause,[],[f3289,f3140,f8854])). 15.55/15.70 tff(f9450,plain,( 15.55/15.70 spl10_164 <=> $less(0,abs1(abs1(abs1(power1(10,sK0)))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_164])])). 15.55/15.70 tff(f9452,plain,( 15.55/15.70 spl10_164 | ~spl10_86), 15.55/15.70 inference(avatar_split_clause,[],[f3986,f3945,f9450])). 15.55/15.70 tff(f9514,plain,( 15.55/15.70 spl10_167 <=> ~$less(1,$uminus(sK3))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_167])])). 15.55/15.70 tff(f9517,plain,( 15.55/15.70 spl10_166 <=> $less(1,$uminus(sK3))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_166])])). 15.55/15.70 tff(f9523,plain,( 15.55/15.70 spl10_169 <=> ~$less(sK3,abs1(1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_169])])). 15.55/15.70 tff(f9524,plain,( 15.55/15.70 ~$less(sK3,abs1(1)) | ~spl10_169), 15.55/15.70 inference(avatar_component_clause,[],[f9523])). 15.55/15.70 tff(f9525,plain,( 15.55/15.70 spl10_166 | ~spl10_169 | spl10_103), 15.55/15.70 inference(avatar_split_clause,[],[f5060,f4997,f9523,f9517])). 15.55/15.70 tff(f9586,plain,( 15.55/15.70 ~$less(1,$uminus(sK3)) | ~spl10_169), 15.55/15.70 inference(resolution,[],[f9524,f298])). 15.55/15.70 tff(f9607,plain,( 15.55/15.70 ~spl10_167 | spl10_169), 15.55/15.70 inference(avatar_split_clause,[],[f9586,f9523,f9514])). 15.55/15.70 tff(f10042,plain,( 15.55/15.70 abs1($quotient_e($sum($product(137,sK4),sK1),10)) = $quotient_e($sum($product(137,sK4),sK1),10) | (~spl10_15 | ~spl10_20)), 15.55/15.70 inference(forward_demodulation,[],[f618,f684])). 15.55/15.70 tff(f10156,plain,( 15.55/15.70 spl10_170 <=> ! [X1 : $int] : $less($uminus(sK1),mod2(X1,sK1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_170])])). 15.55/15.70 tff(f10157,plain,( 15.55/15.70 ( ! [X1:$int] : ($less($uminus(sK1),mod2(X1,sK1))) ) | ~spl10_170), 15.55/15.70 inference(avatar_component_clause,[],[f10156])). 15.55/15.70 tff(f10158,plain,( 15.55/15.70 spl10_32 | spl10_170 | ~spl10_12), 15.55/15.70 inference(avatar_split_clause,[],[f673,f594,f10156,f1442])). 15.55/15.70 tff(f10163,plain,( 15.55/15.70 spl10_172 <=> abs1($quotient_e($sum($product(137,sK4),sK1),10)) = $quotient_e($sum($product(137,sK4),sK1),10)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_172])])). 15.55/15.70 tff(f10165,plain,( 15.55/15.70 spl10_172 | spl10_23), 15.55/15.70 inference(avatar_split_clause,[],[f788,f708,f10163])). 15.55/15.70 tff(f10168,plain,( 15.55/15.70 ( ! [X2:$int] : ($less($uminus(sK1),abs1(mod2(X2,sK1)))) ) | ~spl10_170), 15.55/15.70 inference(resolution,[],[f10157,f299])). 15.55/15.70 tff(f10181,plain,( 15.55/15.70 $less($uminus(sK1),0) | ~$less(0,sK1) | (~spl10_11 | ~spl10_170)), 15.55/15.70 inference(superposition,[],[f10157,f2917])). 15.55/15.70 tff(f10185,plain,( 15.55/15.70 $less($uminus(sK1),sK3) | ~$less(sK3,sK1) | (~spl10_75 | ~spl10_170)), 15.55/15.70 inference(superposition,[],[f10157,f3044])). 15.55/15.70 tff(f10190,plain,( 15.55/15.70 ( ! [X3:$int] : ($less($uminus(sK1),abs1(abs1(mod2(X3,sK1))))) ) | ~spl10_170), 15.55/15.70 inference(resolution,[],[f10168,f299])). 15.55/15.70 tff(f10292,plain,( 15.55/15.70 spl10_174 <=> $less(0,sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_174])])). 15.55/15.70 tff(f10293,plain,( 15.55/15.70 $less(0,sK1) | ~spl10_174), 15.55/15.70 inference(avatar_component_clause,[],[f10292])). 15.55/15.70 tff(f10295,plain,( 15.55/15.70 spl10_175 <=> ~$less(0,sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_175])])). 15.55/15.70 tff(f10301,plain,( 15.55/15.70 spl10_176 <=> $less($uminus(sK1),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_176])])). 15.55/15.70 tff(f10302,plain,( 15.55/15.70 $less($uminus(sK1),0) | ~spl10_176), 15.55/15.70 inference(avatar_component_clause,[],[f10301])). 15.55/15.70 tff(f10303,plain,( 15.55/15.70 ~spl10_175 | spl10_176 | spl10_11 | ~spl10_170), 15.55/15.70 inference(avatar_split_clause,[],[f10181,f10156,f400,f10301,f10295])). 15.55/15.70 tff(f10308,plain,( 15.55/15.70 spl10_178 <=> $less(0,$sum($product(137,sK4),sK1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_178])])). 15.55/15.70 tff(f10309,plain,( 15.55/15.70 $less(0,$sum($product(137,sK4),sK1)) | ~spl10_178), 15.55/15.70 inference(avatar_component_clause,[],[f10308])). 15.55/15.70 tff(f10314,plain,( 15.55/15.70 spl10_181 <=> ~$less(0,$quotient_e($sum($product(137,sK4),sK1),10))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_181])])). 15.55/15.70 tff(f10316,plain,( 15.55/15.70 spl10_178 | ~spl10_181 | ~spl10_20), 15.55/15.70 inference(avatar_split_clause,[],[f1087,f683,f10314,f10308])). 15.55/15.70 tff(f10317,plain,( 15.55/15.70 abs1($uminus(sK1)) = $uminus($uminus(sK1)) | ~spl10_176), 15.55/15.70 inference(resolution,[],[f10302,f274])). 15.55/15.70 tff(f10353,plain,( 15.55/15.70 mod2(0,$sum($product(137,sK4),sK1)) = 0 | $less(0,0) | ~spl10_178), 15.55/15.70 inference(resolution,[],[f10309,f294])). 15.55/15.70 tff(f10354,plain,( 15.55/15.70 div2(0,$sum($product(137,sK4),sK1)) = 0 | $less(0,0) | ~spl10_178), 15.55/15.70 inference(resolution,[],[f10309,f295])). 15.55/15.70 tff(f10355,plain,( 15.55/15.70 $less(0,abs1($sum($product(137,sK4),sK1))) | ~spl10_178), 15.55/15.70 inference(resolution,[],[f10309,f299])). 15.55/15.70 tff(f10377,plain,( 15.55/15.70 div2(0,$sum($product(137,sK4),sK1)) = 0 | ~spl10_178), 15.55/15.70 inference(evaluation,[],[f10354])). 15.55/15.70 tff(f10378,plain,( 15.55/15.70 mod2(0,$sum($product(137,sK4),sK1)) = 0 | ~spl10_178), 15.55/15.70 inference(evaluation,[],[f10353])). 15.55/15.70 tff(f10383,plain,( 15.55/15.70 spl10_183 <=> ~$less(sK3,sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_183])])). 15.55/15.70 tff(f10389,plain,( 15.55/15.70 spl10_184 <=> $less($uminus(sK1),sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_184])])). 15.55/15.70 tff(f10391,plain,( 15.55/15.70 ~spl10_183 | spl10_184 | spl10_75 | ~spl10_170), 15.55/15.70 inference(avatar_split_clause,[],[f10185,f10156,f3036,f10389,f10383])). 15.55/15.70 tff(f10396,plain,( 15.55/15.70 spl10_186 <=> $less($sum($product(137,sK4),sK1),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_186])])). 15.55/15.70 tff(f10402,plain,( 15.55/15.70 spl10_189 <=> ~$less($remainder_e($sum($product(137,sK4),sK1),10),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_189])])). 15.55/15.70 tff(f10404,plain,( 15.55/15.70 spl10_186 | ~spl10_189 | ~spl10_24), 15.55/15.70 inference(avatar_split_clause,[],[f1181,f997,f10402,f10396])). 15.55/15.70 tff(f10473,plain,( 15.55/15.70 spl10_172 | spl10_15 | ~spl10_20), 15.55/15.70 inference(avatar_split_clause,[],[f10042,f683,f601,f10163])). 15.55/15.70 tff(f10478,plain,( 15.55/15.70 spl10_190 <=> abs1($uminus(sK1)) = $uminus($uminus(sK1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_190])])). 15.55/15.70 tff(f10479,plain,( 15.55/15.70 abs1($uminus(sK1)) = $uminus($uminus(sK1)) | ~spl10_190), 15.55/15.70 inference(avatar_component_clause,[],[f10478])). 15.55/15.70 tff(f10480,plain,( 15.55/15.70 spl10_190 | ~spl10_176), 15.55/15.70 inference(avatar_split_clause,[],[f10317,f10301,f10478])). 15.55/15.70 tff(f10624,plain,( 15.55/15.70 ~$less($uminus($uminus(sK1)),0) | ~spl10_190), 15.55/15.70 inference(superposition,[],[f262,f10479])). 15.55/15.70 tff(f10648,plain,( 15.55/15.70 spl10_193 <=> ~$less($uminus($uminus(sK1)),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_193])])). 15.55/15.70 tff(f10649,plain,( 15.55/15.70 ~$less($uminus($uminus(sK1)),0) | ~spl10_193), 15.55/15.70 inference(avatar_component_clause,[],[f10648])). 15.55/15.70 tff(f10650,plain,( 15.55/15.70 ~spl10_193 | ~spl10_190), 15.55/15.70 inference(avatar_split_clause,[],[f10624,f10478,f10648])). 15.55/15.70 tff(f10687,plain,( 15.55/15.70 abs1($uminus($uminus(sK1))) = $uminus($uminus(sK1)) | ~spl10_193), 15.55/15.70 inference(resolution,[],[f10649,f275])). 15.55/15.70 tff(f10794,plain,( 15.55/15.70 spl10_194 <=> $less(0,abs1($sum($product(137,sK4),sK1)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_194])])). 15.55/15.70 tff(f10796,plain,( 15.55/15.70 spl10_194 | ~spl10_178), 15.55/15.70 inference(avatar_split_clause,[],[f10355,f10308,f10794])). 15.55/15.70 tff(f10996,plain,( 15.55/15.70 spl10_196 <=> abs1($uminus($uminus(sK1))) = $uminus($uminus(sK1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_196])])). 15.55/15.70 tff(f10998,plain,( 15.55/15.70 spl10_196 | spl10_193), 15.55/15.70 inference(avatar_split_clause,[],[f10687,f10648,f10996])). 15.55/15.70 tff(f11193,plain,( 15.55/15.70 spl10_198 <=> ! [X1 : $int] : $less($uminus(sK0),mod2(X1,sK0))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_198])])). 15.55/15.70 tff(f11194,plain,( 15.55/15.70 ( ! [X1:$int] : ($less($uminus(sK0),mod2(X1,sK0))) ) | ~spl10_198), 15.55/15.70 inference(avatar_component_clause,[],[f11193])). 15.55/15.70 tff(f11195,plain,( 15.55/15.70 spl10_4 | spl10_198 | ~spl10_16), 15.55/15.70 inference(avatar_split_clause,[],[f690,f608,f11193,f376])). 15.55/15.70 tff(f11211,plain,( 15.55/15.70 $less($uminus(sK0),0) | ~$less(0,sK0) | (~spl10_11 | ~spl10_198)), 15.55/15.70 inference(superposition,[],[f11194,f2917])). 15.55/15.70 tff(f11219,plain,( 15.55/15.70 $less($uminus(sK0),sK3) | ~$less(sK3,sK0) | (~spl10_75 | ~spl10_198)), 15.55/15.70 inference(superposition,[],[f11194,f3044])). 15.55/15.70 tff(f11232,plain,( 15.55/15.70 ( ! [X19:lpintcm_intcm_intrp] : (num_of1(X19,sK1,sK0) = $sum(0,num_of1(X19,0,sK0)) | $less(0,sK1)) ) | (~spl10_1 | ~spl10_3)), 15.55/15.70 inference(superposition,[],[f482,f425])). 15.55/15.70 tff(f11264,plain,( 15.55/15.70 ( ! [X19:lpintcm_intcm_intrp] : (num_of1(X19,0,sK0) = num_of1(X19,sK1,sK0) | $less(0,sK1)) ) | (~spl10_1 | ~spl10_3)), 15.55/15.70 inference(evaluation,[],[f11232])). 15.55/15.70 tff(f11281,plain,( 15.55/15.70 ( ! [X19:lpintcm_intcm_intrp] : (num_of1(X19,0,sK0) = 0 | $less(0,sK1)) ) | (~spl10_1 | ~spl10_3 | ~spl10_107)), 15.55/15.70 inference(forward_demodulation,[],[f11264,f5854])). 15.55/15.70 tff(f11368,plain,( 15.55/15.70 spl10_200 <=> $less(0,sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_200])])). 15.55/15.70 tff(f11369,plain,( 15.55/15.70 $less(0,sK0) | ~spl10_200), 15.55/15.70 inference(avatar_component_clause,[],[f11368])). 15.55/15.70 tff(f11371,plain,( 15.55/15.70 spl10_201 <=> ~$less(0,sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_201])])). 15.55/15.70 tff(f11377,plain,( 15.55/15.70 spl10_202 <=> $less($uminus(sK0),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_202])])). 15.55/15.70 tff(f11378,plain,( 15.55/15.70 $less($uminus(sK0),0) | ~spl10_202), 15.55/15.70 inference(avatar_component_clause,[],[f11377])). 15.55/15.70 tff(f11379,plain,( 15.55/15.70 ~spl10_201 | spl10_202 | spl10_11 | ~spl10_198), 15.55/15.70 inference(avatar_split_clause,[],[f11211,f11193,f400,f11377,f11371])). 15.55/15.70 tff(f11380,plain,( 15.55/15.70 abs1($uminus(sK0)) = $uminus($uminus(sK0)) | ~spl10_202), 15.55/15.70 inference(resolution,[],[f11378,f274])). 15.55/15.70 tff(f11450,plain,( 15.55/15.70 spl10_205 <=> ~$less(sK3,sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_205])])). 15.55/15.70 tff(f11456,plain,( 15.55/15.70 spl10_206 <=> $less($uminus(sK0),sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_206])])). 15.55/15.70 tff(f11458,plain,( 15.55/15.70 ~spl10_205 | spl10_206 | spl10_75 | ~spl10_198), 15.55/15.70 inference(avatar_split_clause,[],[f11219,f11193,f3036,f11456,f11450])). 15.55/15.70 tff(f11685,plain,( 15.55/15.70 spl10_208 <=> abs1($uminus(sK0)) = $uminus($uminus(sK0))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_208])])). 15.55/15.70 tff(f11686,plain,( 15.55/15.70 abs1($uminus(sK0)) = $uminus($uminus(sK0)) | ~spl10_208), 15.55/15.70 inference(avatar_component_clause,[],[f11685])). 15.55/15.70 tff(f11687,plain,( 15.55/15.70 spl10_208 | ~spl10_202), 15.55/15.70 inference(avatar_split_clause,[],[f11380,f11377,f11685])). 15.55/15.70 tff(f11873,plain,( 15.55/15.70 ~$less($uminus($uminus(sK0)),0) | ~spl10_208), 15.55/15.70 inference(superposition,[],[f262,f11686])). 15.55/15.70 tff(f11897,plain,( 15.55/15.70 spl10_211 <=> ~$less($uminus($uminus(sK0)),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_211])])). 15.55/15.70 tff(f11898,plain,( 15.55/15.70 ~$less($uminus($uminus(sK0)),0) | ~spl10_211), 15.55/15.70 inference(avatar_component_clause,[],[f11897])). 15.55/15.70 tff(f11899,plain,( 15.55/15.70 ~spl10_211 | ~spl10_208), 15.55/15.70 inference(avatar_split_clause,[],[f11873,f11685,f11897])). 15.55/15.70 tff(f11952,plain,( 15.55/15.70 abs1($uminus($uminus(sK0))) = $uminus($uminus(sK0)) | ~spl10_211), 15.55/15.70 inference(resolution,[],[f11898,f275])). 15.55/15.70 tff(f12087,plain,( 15.55/15.70 spl10_212 <=> abs1($uminus($uminus(sK0))) = $uminus($uminus(sK0))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_212])])). 15.55/15.70 tff(f12089,plain,( 15.55/15.70 spl10_212 | spl10_211), 15.55/15.70 inference(avatar_split_clause,[],[f11952,f11897,f12087])). 15.55/15.70 tff(f12200,plain,( 15.55/15.70 spl10_214 <=> ! [X1 : $int] : $less($uminus(sK4),mod2(X1,sK4))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_214])])). 15.55/15.70 tff(f12201,plain,( 15.55/15.70 ( ! [X1:$int] : ($less($uminus(sK4),mod2(X1,sK4))) ) | ~spl10_214), 15.55/15.70 inference(avatar_component_clause,[],[f12200])). 15.55/15.70 tff(f12202,plain,( 15.55/15.70 spl10_54 | spl10_214 | ~spl10_18), 15.55/15.70 inference(avatar_split_clause,[],[f699,f615,f12200,f2600])). 15.55/15.70 tff(f12246,plain,( 15.55/15.70 ( ! [X2:$int] : ($less($uminus(sK4),abs1(mod2(X2,sK4)))) ) | ~spl10_214), 15.55/15.70 inference(resolution,[],[f12201,f299])). 15.55/15.70 tff(f12259,plain,( 15.55/15.70 $less($uminus(sK4),0) | ~$less(0,sK4) | (~spl10_11 | ~spl10_214)), 15.55/15.70 inference(superposition,[],[f12201,f2917])). 15.55/15.70 tff(f12269,plain,( 15.55/15.70 $less($uminus(sK4),sK3) | ~$less(sK3,sK4) | (~spl10_75 | ~spl10_214)), 15.55/15.70 inference(superposition,[],[f12201,f3044])). 15.55/15.70 tff(f12315,plain,( 15.55/15.70 ( ! [X3:$int] : ($less($uminus(sK4),abs1(abs1(mod2(X3,sK4))))) ) | ~spl10_214), 15.55/15.70 inference(resolution,[],[f12246,f299])). 15.55/15.70 tff(f12346,plain,( 15.55/15.70 spl10_216 <=> $less(0,sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_216])])). 15.55/15.70 tff(f12347,plain,( 15.55/15.70 $less(0,sK4) | ~spl10_216), 15.55/15.70 inference(avatar_component_clause,[],[f12346])). 15.55/15.70 tff(f12349,plain,( 15.55/15.70 spl10_217 <=> ~$less(0,sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_217])])). 15.55/15.70 tff(f12355,plain,( 15.55/15.70 spl10_218 <=> $less($uminus(sK4),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_218])])). 15.55/15.70 tff(f12356,plain,( 15.55/15.70 $less($uminus(sK4),0) | ~spl10_218), 15.55/15.70 inference(avatar_component_clause,[],[f12355])). 15.55/15.70 tff(f12357,plain,( 15.55/15.70 ~spl10_217 | spl10_218 | spl10_11 | ~spl10_214), 15.55/15.70 inference(avatar_split_clause,[],[f12259,f12200,f400,f12355,f12349])). 15.55/15.70 tff(f12362,plain,( 15.55/15.70 spl10_221 <=> ~$less(abs1($sum($product(137,sK4),sK1)),abs1($product($quotient_e($sum($product(137,sK4),sK1),10),10)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_221])])). 15.55/15.70 tff(f12364,plain,( 15.55/15.70 ~spl10_221 | ~spl10_20), 15.55/15.70 inference(avatar_split_clause,[],[f1090,f683,f12362])). 15.55/15.70 tff(f12365,plain,( 15.55/15.70 abs1($uminus(sK4)) = $uminus($uminus(sK4)) | ~spl10_218), 15.55/15.70 inference(resolution,[],[f12356,f274])). 15.55/15.70 tff(f12394,plain,( 15.55/15.70 spl10_223 <=> ~$less(sK3,sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_223])])). 15.55/15.70 tff(f12400,plain,( 15.55/15.70 spl10_224 <=> $less($uminus(sK4),sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_224])])). 15.55/15.70 tff(f12402,plain,( 15.55/15.70 ~spl10_223 | spl10_224 | spl10_75 | ~spl10_214), 15.55/15.70 inference(avatar_split_clause,[],[f12269,f12200,f3036,f12400,f12394])). 15.55/15.70 tff(f12661,plain,( 15.55/15.70 spl10_226 <=> abs1($uminus(sK4)) = $uminus($uminus(sK4))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_226])])). 15.55/15.70 tff(f12662,plain,( 15.55/15.70 abs1($uminus(sK4)) = $uminus($uminus(sK4)) | ~spl10_226), 15.55/15.70 inference(avatar_component_clause,[],[f12661])). 15.55/15.70 tff(f12663,plain,( 15.55/15.70 spl10_226 | ~spl10_218), 15.55/15.70 inference(avatar_split_clause,[],[f12365,f12355,f12661])). 15.55/15.70 tff(f12667,plain,( 15.55/15.70 ( ! [X6:lpintcm_intcm_intrp,X7:$int] : (~p1(X6,X7) | $less(X7,sK1) | ~$less(X7,0) | $less(0,0)) ) | ~spl10_1), 15.55/15.70 inference(resolution,[],[f435,f430])). 15.55/15.70 tff(f12727,plain,( 15.55/15.70 ( ! [X6:lpintcm_intcm_intrp,X7:$int] : (~$less(X7,0) | $less(X7,sK1) | ~p1(X6,X7)) ) | ~spl10_1), 15.55/15.70 inference(evaluation,[],[f12667])). 15.55/15.70 tff(f12795,plain,( 15.55/15.70 ~$less($uminus($uminus(sK4)),0) | ~spl10_226), 15.55/15.70 inference(superposition,[],[f262,f12662])). 15.55/15.70 tff(f12970,plain,( 15.55/15.70 spl10_229 <=> ~$less($uminus($uminus(sK4)),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_229])])). 15.55/15.70 tff(f12971,plain,( 15.55/15.70 ~$less($uminus($uminus(sK4)),0) | ~spl10_229), 15.55/15.70 inference(avatar_component_clause,[],[f12970])). 15.55/15.70 tff(f12972,plain,( 15.55/15.70 ~spl10_229 | ~spl10_226), 15.55/15.70 inference(avatar_split_clause,[],[f12795,f12661,f12970])). 15.55/15.70 tff(f12976,plain,( 15.55/15.70 ( ! [X6:lpintcm_intcm_intrp,X7:$int] : (~p1(X6,X7) | $less(X7,sK0) | ~$less(X7,0) | $less(0,0)) ) | ~spl10_3), 15.55/15.70 inference(resolution,[],[f485,f480])). 15.55/15.70 tff(f13038,plain,( 15.55/15.70 ( ! [X6:lpintcm_intcm_intrp,X7:$int] : (~$less(X7,0) | $less(X7,sK0) | ~p1(X6,X7)) ) | ~spl10_3), 15.55/15.70 inference(evaluation,[],[f12976])). 15.55/15.70 tff(f13043,plain,( 15.55/15.70 abs1($uminus($uminus(sK4))) = $uminus($uminus(sK4)) | ~spl10_229), 15.55/15.70 inference(resolution,[],[f12971,f275])). 15.55/15.70 tff(f13258,plain,( 15.55/15.70 spl10_230 <=> abs1($uminus($uminus(sK4))) = $uminus($uminus(sK4))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_230])])). 15.55/15.70 tff(f13260,plain,( 15.55/15.70 spl10_230 | spl10_229), 15.55/15.70 inference(avatar_split_clause,[],[f13043,f12970,f13258])). 15.55/15.70 tff(f13607,plain,( 15.55/15.70 ( ! [X6:lpintcm_intcm_intrp,X7:$int] : (~p1(X6,X7) | $less(X7,sK4) | ~$less(X7,0) | $less(0,0)) ) | ~spl10_9), 15.55/15.70 inference(resolution,[],[f552,f547])). 15.55/15.70 tff(f13667,plain,( 15.55/15.70 ( ! [X6:lpintcm_intcm_intrp,X7:$int] : (~$less(X7,0) | $less(X7,sK4) | ~p1(X6,X7)) ) | ~spl10_9), 15.55/15.70 inference(evaluation,[],[f13607])). 15.55/15.70 tff(f13745,plain,( 15.55/15.70 ( ! [X12:lpintcm_intcm_intrp] : (~p1(X12,sK0) | $less(1,0) | ~$less(sK0,sK1) | $less(1,sK1)) ) | (~spl10_1 | ~spl10_11)), 15.55/15.70 inference(resolution,[],[f580,f431])). 15.55/15.70 tff(f13747,plain,( 15.55/15.70 ( ! [X14:lpintcm_intcm_intrp] : (~p1(X14,sK0) | $less(1,0) | ~$less(sK0,sK4) | $less(1,sK4)) ) | (~spl10_9 | ~spl10_11)), 15.55/15.70 inference(resolution,[],[f580,f548])). 15.55/15.70 tff(f13853,plain,( 15.55/15.70 ( ! [X14:lpintcm_intcm_intrp] : (~p1(X14,sK0) | ~$less(sK0,sK4) | $less(1,sK4)) ) | (~spl10_9 | ~spl10_11)), 15.55/15.70 inference(evaluation,[],[f13747])). 15.55/15.70 tff(f13855,plain,( 15.55/15.70 ( ! [X12:lpintcm_intcm_intrp] : (~p1(X12,sK0) | ~$less(sK0,sK1) | $less(1,sK1)) ) | (~spl10_1 | ~spl10_11)), 15.55/15.70 inference(evaluation,[],[f13745])). 15.55/15.70 tff(f14304,plain,( 15.55/15.70 $less(0,0) | sum_digits1($product($uminus(sK0),0)) = 0 | ~spl10_65), 15.55/15.70 inference(resolution,[],[f2953,f276])). 15.55/15.70 tff(f14311,plain,( 15.55/15.70 sum_digits1(0) = 0 | ~spl10_65), 15.55/15.70 inference(evaluation,[],[f14304])). 15.55/15.70 tff(f14318,plain,( 15.55/15.70 spl10_232 <=> sum_digits1(0) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_232])])). 15.55/15.70 tff(f14320,plain,( 15.55/15.70 spl10_232 | spl10_65), 15.55/15.70 inference(avatar_split_clause,[],[f14311,f2813,f14318])). 15.55/15.70 tff(f14388,plain,( 15.55/15.70 ~$less(1,$uminus($uminus(sK0))) | $less($uminus(sK0),-1) | (~spl10_65 | ~spl10_208)), 15.55/15.70 inference(forward_demodulation,[],[f2954,f11686])). 15.55/15.70 tff(f14542,plain,( 15.55/15.70 spl10_234 <=> div2(0,power1(10,$sum(sK0,-1))) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_234])])). 15.55/15.70 tff(f14544,plain,( 15.55/15.70 spl10_234 | ~spl10_90), 15.55/15.70 inference(avatar_split_clause,[],[f4063,f4019,f14542])). 15.55/15.70 tff(f14571,plain,( 15.55/15.70 spl10_236 <=> mod2(0,power1(10,$sum(sK0,-1))) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_236])])). 15.55/15.70 tff(f14573,plain,( 15.55/15.70 spl10_236 | ~spl10_90), 15.55/15.70 inference(avatar_split_clause,[],[f4064,f4019,f14571])). 15.55/15.70 tff(f14578,plain,( 15.55/15.70 spl10_238 <=> $less($remainder_e($sum($product(137,sK4),sK1),10),10)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_238])])). 15.55/15.70 tff(f14580,plain,( 15.55/15.70 spl10_238 | ~spl10_84), 15.55/15.70 inference(avatar_split_clause,[],[f4083,f3938,f14578])). 15.55/15.70 tff(f14623,plain,( 15.55/15.70 spl10_240 <=> $less(-10,$remainder_e($sum($product(137,sK4),sK1),10))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_240])])). 15.55/15.70 tff(f14625,plain,( 15.55/15.70 spl10_240 | ~spl10_100), 15.55/15.70 inference(avatar_split_clause,[],[f4992,f4897,f14623])). 15.55/15.70 tff(f14629,plain,( 15.55/15.70 spl10_242 <=> ! [X16 : lpintcm_intcm_intrp] : ~$less(num_of1(X16,sK0,sK1),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_242])])). 15.55/15.70 tff(f14631,plain,( 15.55/15.70 spl10_200 | spl10_242 | spl10_1 | spl10_3), 15.55/15.70 inference(avatar_split_clause,[],[f5041,f372,f365,f14629,f11368])). 15.55/15.70 tff(f14643,plain,( 15.55/15.70 mod2(0,sK0) = 0 | $less(0,0) | ~spl10_200), 15.55/15.70 inference(resolution,[],[f11369,f294])). 15.55/15.70 tff(f14644,plain,( 15.55/15.70 div2(0,sK0) = 0 | $less(0,0) | ~spl10_200), 15.55/15.70 inference(resolution,[],[f11369,f295])). 15.55/15.70 tff(f14667,plain,( 15.55/15.70 div2(0,sK0) = 0 | ~spl10_200), 15.55/15.70 inference(evaluation,[],[f14644])). 15.55/15.70 tff(f14668,plain,( 15.55/15.70 mod2(0,sK0) = 0 | ~spl10_200), 15.55/15.70 inference(evaluation,[],[f14643])). 15.55/15.70 tff(f14675,plain,( 15.55/15.70 spl10_244 <=> div2(0,sK0) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_244])])). 15.55/15.70 tff(f14677,plain,( 15.55/15.70 spl10_244 | ~spl10_200), 15.55/15.70 inference(avatar_split_clause,[],[f14667,f11368,f14675])). 15.55/15.70 tff(f14684,plain,( 15.55/15.70 spl10_246 <=> mod2(0,sK0) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_246])])). 15.55/15.70 tff(f14686,plain,( 15.55/15.70 spl10_246 | ~spl10_200), 15.55/15.70 inference(avatar_split_clause,[],[f14668,f11368,f14684])). 15.55/15.70 tff(f15155,plain,( 15.55/15.70 spl10_249 <=> ~$less($sum($product(137,sK4),sK1),$quotient_e($sum($product(137,sK4),sK1),10))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_249])])). 15.55/15.70 tff(f15157,plain,( 15.55/15.70 spl10_186 | ~spl10_249 | ~spl10_20), 15.55/15.70 inference(avatar_split_clause,[],[f1086,f683,f15155,f10396])). 15.55/15.70 tff(f15176,plain,( 15.55/15.70 spl10_250 <=> ! [X19 : lpintcm_intcm_intrp] : ~$less(num_of1(X19,sK4,sK1),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_250])])). 15.55/15.70 tff(f15178,plain,( 15.55/15.70 spl10_216 | spl10_250 | spl10_1 | spl10_9), 15.55/15.70 inference(avatar_split_clause,[],[f5044,f393,f365,f15176,f12346])). 15.55/15.70 tff(f15190,plain,( 15.55/15.70 mod2(0,sK4) = 0 | $less(0,0) | ~spl10_216), 15.55/15.70 inference(resolution,[],[f12347,f294])). 15.55/15.70 tff(f15191,plain,( 15.55/15.70 div2(0,sK4) = 0 | $less(0,0) | ~spl10_216), 15.55/15.70 inference(resolution,[],[f12347,f295])). 15.55/15.70 tff(f15214,plain,( 15.55/15.70 div2(0,sK4) = 0 | ~spl10_216), 15.55/15.70 inference(evaluation,[],[f15191])). 15.55/15.70 tff(f15215,plain,( 15.55/15.70 mod2(0,sK4) = 0 | ~spl10_216), 15.55/15.70 inference(evaluation,[],[f15190])). 15.55/15.70 tff(f15221,plain,( 15.55/15.70 spl10_252 <=> div2(0,sK4) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_252])])). 15.55/15.70 tff(f15223,plain,( 15.55/15.70 spl10_252 | ~spl10_216), 15.55/15.70 inference(avatar_split_clause,[],[f15214,f12346,f15221])). 15.55/15.70 tff(f15228,plain,( 15.55/15.70 spl10_254 <=> mod2(0,sK4) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_254])])). 15.55/15.70 tff(f15230,plain,( 15.55/15.70 spl10_254 | ~spl10_216), 15.55/15.70 inference(avatar_split_clause,[],[f15215,f12346,f15228])). 15.55/15.70 tff(f15322,plain,( 15.55/15.70 spl10_257 <=> ~$less(sK7(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_257])])). 15.55/15.70 tff(f15324,plain,( 15.55/15.70 ~spl10_257 | spl10_70 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1257,f1206,f2965,f15322])). 15.55/15.70 tff(f15655,plain,( 15.55/15.70 spl10_258 <=> $less(sK4,9)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_258])])). 15.55/15.70 tff(f15656,plain,( 15.55/15.70 $less(sK4,9) | ~spl10_258), 15.55/15.70 inference(avatar_component_clause,[],[f15655])). 15.55/15.70 tff(f15658,plain,( 15.55/15.70 spl10_260 <=> ! [X16 : lpintcm_intcm_intrp] : ~$less(num_of1(X16,9,9),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_260])])). 15.55/15.70 tff(f15660,plain,( 15.55/15.70 spl10_258 | spl10_260 | spl10_7), 15.55/15.70 inference(avatar_split_clause,[],[f5845,f386,f15658,f15655])). 15.55/15.70 tff(f15735,plain,( 15.55/15.70 mod2(sK4,9) = sK4 | $less(sK4,0) | ~spl10_258), 15.55/15.70 inference(resolution,[],[f15656,f294])). 15.55/15.70 tff(f15736,plain,( 15.55/15.70 div2(sK4,9) = 0 | $less(sK4,0) | ~spl10_258), 15.55/15.70 inference(resolution,[],[f15656,f295])). 15.55/15.70 tff(f15737,plain,( 15.55/15.70 $less(sK4,abs1(9)) | ~spl10_258), 15.55/15.70 inference(resolution,[],[f15656,f299])). 15.55/15.70 tff(f15800,plain,( 15.55/15.70 spl10_262 <=> $less(sK4,abs1(9))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_262])])). 15.55/15.70 tff(f15801,plain,( 15.55/15.70 $less(sK4,abs1(9)) | ~spl10_262), 15.55/15.70 inference(avatar_component_clause,[],[f15800])). 15.55/15.70 tff(f15802,plain,( 15.55/15.70 spl10_262 | ~spl10_258), 15.55/15.70 inference(avatar_split_clause,[],[f15737,f15655,f15800])). 15.55/15.70 tff(f15806,plain,( 15.55/15.70 $less(sK4,abs1(abs1(9))) | ~spl10_262), 15.55/15.70 inference(resolution,[],[f15801,f299])). 15.55/15.70 tff(f15825,plain,( 15.55/15.70 spl10_265 <=> ~$less($sum($product(137,sK4),sK1),10)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_265])])). 15.55/15.70 tff(f15831,plain,( 15.55/15.70 spl10_266 <=> 0 = $quotient_e($sum($product(137,sK4),sK1),10)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_266])])). 15.55/15.70 tff(f15833,plain,( 15.55/15.70 spl10_186 | ~spl10_265 | spl10_266 | ~spl10_20), 15.55/15.70 inference(avatar_split_clause,[],[f1077,f683,f15831,f15825,f10396])). 15.55/15.70 tff(f15838,plain,( 15.55/15.70 spl10_268 <=> $less(sK4,abs1(abs1(9)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_268])])). 15.55/15.70 tff(f15839,plain,( 15.55/15.70 $less(sK4,abs1(abs1(9))) | ~spl10_268), 15.55/15.70 inference(avatar_component_clause,[],[f15838])). 15.55/15.70 tff(f15840,plain,( 15.55/15.70 spl10_268 | ~spl10_262), 15.55/15.70 inference(avatar_split_clause,[],[f15806,f15800,f15838])). 15.55/15.70 tff(f15863,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(9)))) | ~spl10_268), 15.55/15.70 inference(resolution,[],[f15839,f299])). 15.55/15.70 tff(f15958,plain,( 15.55/15.70 spl10_270 <=> $less(sK4,abs1(abs1(abs1(9))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_270])])). 15.55/15.70 tff(f15959,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(9)))) | ~spl10_270), 15.55/15.70 inference(avatar_component_clause,[],[f15958])). 15.55/15.70 tff(f15960,plain,( 15.55/15.70 spl10_270 | ~spl10_268), 15.55/15.70 inference(avatar_split_clause,[],[f15863,f15838,f15958])). 15.55/15.70 tff(f15961,plain,( 15.55/15.70 $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10)) | (~spl10_20 | ~spl10_24)), 15.55/15.70 inference(forward_demodulation,[],[f1089,f998])). 15.55/15.70 tff(f15965,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(abs1(9))))) | ~spl10_270), 15.55/15.70 inference(resolution,[],[f15959,f299])). 15.55/15.70 tff(f16050,plain,( 15.55/15.70 spl10_272 <=> $sum($product(137,sK4),sK1) = $sum($product(10,$quotient_e($sum($product(137,sK4),sK1),10)),$remainder_e($sum($product(137,sK4),sK1),10))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_272])])). 15.55/15.70 tff(f16052,plain,( 15.55/15.70 spl10_272 | ~spl10_20 | ~spl10_24), 15.55/15.70 inference(avatar_split_clause,[],[f1182,f997,f683,f16050])). 15.55/15.70 tff(f16057,plain,( 15.55/15.70 spl10_274 <=> $less(sK4,abs1(abs1(abs1(abs1(9)))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_274])])). 15.55/15.70 tff(f16058,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(abs1(9))))) | ~spl10_274), 15.55/15.70 inference(avatar_component_clause,[],[f16057])). 15.55/15.70 tff(f16059,plain,( 15.55/15.70 spl10_274 | ~spl10_270), 15.55/15.70 inference(avatar_split_clause,[],[f15965,f15958,f16057])). 15.55/15.70 tff(f16064,plain,( 15.55/15.70 spl10_276 <=> $less(sK7(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_276])])). 15.55/15.70 tff(f16066,plain,( 15.55/15.70 spl10_276 | spl10_70 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1258,f1206,f2965,f16064])). 15.55/15.70 tff(f16070,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(abs1(abs1(9)))))) | ~spl10_274), 15.55/15.70 inference(resolution,[],[f16058,f299])). 15.55/15.70 tff(f16095,plain,( 15.55/15.70 spl10_278 <=> mod2(sK4,9) = sK4), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_278])])). 15.55/15.70 tff(f16096,plain,( 15.55/15.70 mod2(sK4,9) = sK4 | ~spl10_278), 15.55/15.70 inference(avatar_component_clause,[],[f16095])). 15.55/15.70 tff(f16097,plain,( 15.55/15.70 spl10_8 | spl10_278 | ~spl10_258), 15.55/15.70 inference(avatar_split_clause,[],[f15735,f15655,f16095,f390])). 15.55/15.70 tff(f16120,plain,( 15.55/15.70 $less($uminus(abs1(9)),sK4) | 0 = 9 | ~spl10_278), 15.55/15.70 inference(superposition,[],[f283,f16096])). 15.55/15.70 tff(f16142,plain,( 15.55/15.70 $less($uminus(abs1(9)),sK4) | ~spl10_278), 15.55/15.70 inference(evaluation,[],[f16120])). 15.55/15.70 tff(f16149,plain,( 15.55/15.70 spl10_280 <=> $less($uminus(abs1(9)),sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_280])])). 15.55/15.70 tff(f16150,plain,( 15.55/15.70 $less($uminus(abs1(9)),sK4) | ~spl10_280), 15.55/15.70 inference(avatar_component_clause,[],[f16149])). 15.55/15.70 tff(f16151,plain,( 15.55/15.70 spl10_280 | ~spl10_278), 15.55/15.70 inference(avatar_split_clause,[],[f16142,f16095,f16149])). 15.55/15.70 tff(f16167,plain,( 15.55/15.70 $less($uminus(9),sK4) | $less(9,0) | ~spl10_280), 15.55/15.70 inference(superposition,[],[f16150,f275])). 15.55/15.70 tff(f16168,plain,( 15.55/15.70 $less(-9,sK4) | ~spl10_280), 15.55/15.70 inference(evaluation,[],[f16167])). 15.55/15.70 tff(f16174,plain,( 15.55/15.70 spl10_282 <=> $less(-9,sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_282])])). 15.55/15.70 tff(f16175,plain,( 15.55/15.70 $less(-9,sK4) | ~spl10_282), 15.55/15.70 inference(avatar_component_clause,[],[f16174])). 15.55/15.70 tff(f16176,plain,( 15.55/15.70 spl10_282 | ~spl10_280), 15.55/15.70 inference(avatar_split_clause,[],[f16168,f16149,f16174])). 15.55/15.70 tff(f16181,plain,( 15.55/15.70 ( ! [X1:lpintcm_intcm_intrp] : (~$less($sum(sK4,$uminus(-9)),num_of1(X1,-9,sK4))) ) | ~spl10_282), 15.55/15.70 inference(resolution,[],[f16175,f303])). 15.55/15.70 tff(f16193,plain,( 15.55/15.70 ( ! [X1:lpintcm_intcm_intrp] : (~$less($sum(sK4,9),num_of1(X1,-9,sK4))) ) | ~spl10_282), 15.55/15.70 inference(evaluation,[],[f16181])). 15.55/15.70 tff(f16260,plain,( 15.55/15.70 spl10_272 | ~spl10_20 | ~spl10_24), 15.55/15.70 inference(avatar_split_clause,[],[f15961,f997,f683,f16050])). 15.55/15.70 tff(f16265,plain,( 15.55/15.70 spl10_284 <=> div2(sK4,9) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_284])])). 15.55/15.70 tff(f16267,plain,( 15.55/15.70 spl10_8 | spl10_284 | ~spl10_258), 15.55/15.70 inference(avatar_split_clause,[],[f15736,f15655,f16265,f390])). 15.55/15.70 tff(f16623,plain,( 15.55/15.70 ~$less($sum(sK4,9),0) | ~spl10_282), 15.55/15.70 inference(superposition,[],[f16193,f329])). 15.55/15.70 tff(f16624,plain,( 15.55/15.70 ~$less(sK4,$uminus(9)) | ~spl10_282), 15.55/15.70 inference(evaluation,[],[f16623])). 15.55/15.70 tff(f16625,plain,( 15.55/15.70 ~$less(sK4,-9) | ~spl10_282), 15.55/15.70 inference(evaluation,[],[f16624])). 15.55/15.70 tff(f16687,plain,( 15.55/15.70 spl10_287 <=> ~$less(sK4,-9)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_287])])). 15.55/15.70 tff(f16688,plain,( 15.55/15.70 ~$less(sK4,-9) | ~spl10_287), 15.55/15.70 inference(avatar_component_clause,[],[f16687])). 15.55/15.70 tff(f16689,plain,( 15.55/15.70 ~spl10_287 | ~spl10_282), 15.55/15.70 inference(avatar_split_clause,[],[f16625,f16174,f16687])). 15.55/15.70 tff(f16690,plain,( 15.55/15.70 ~$less(sK4,abs1(-9)) | $less(-9,$uminus(sK4)) | ~spl10_287), 15.55/15.70 inference(resolution,[],[f16688,f300])). 15.55/15.70 tff(f16887,plain,( 15.55/15.70 spl10_288 <=> $less(sK4,abs1(abs1(abs1(abs1(abs1(9))))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_288])])). 15.55/15.70 tff(f16889,plain,( 15.55/15.70 spl10_288 | ~spl10_274), 15.55/15.70 inference(avatar_split_clause,[],[f16070,f16057,f16887])). 15.55/15.70 tff(f17005,plain,( 15.55/15.70 spl10_290 <=> $less(-9,$uminus(sK4))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_290])])). 15.55/15.70 tff(f17006,plain,( 15.55/15.70 $less(-9,$uminus(sK4)) | ~spl10_290), 15.55/15.70 inference(avatar_component_clause,[],[f17005])). 15.55/15.70 tff(f17008,plain,( 15.55/15.70 spl10_292 <=> $less(sK4,abs1(-9))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_292])])). 15.55/15.70 tff(f17009,plain,( 15.55/15.70 $less(sK4,abs1(-9)) | ~spl10_292), 15.55/15.70 inference(avatar_component_clause,[],[f17008])). 15.55/15.70 tff(f17011,plain,( 15.55/15.70 spl10_293 <=> ~$less(sK4,abs1(-9))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_293])])). 15.55/15.70 tff(f17013,plain,( 15.55/15.70 spl10_290 | ~spl10_293 | spl10_287), 15.55/15.70 inference(avatar_split_clause,[],[f16690,f16687,f17011,f17005])). 15.55/15.70 tff(f17099,plain,( 15.55/15.70 $less(sK4,abs1(-9)) | ~spl10_290), 15.55/15.70 inference(resolution,[],[f17006,f298])). 15.55/15.70 tff(f17102,plain,( 15.55/15.70 $less(-9,abs1($uminus(sK4))) | ~spl10_290), 15.55/15.70 inference(resolution,[],[f17006,f299])). 15.55/15.70 tff(f17117,plain,( 15.55/15.70 $less(-9,$uminus($uminus(sK4))) | (~spl10_226 | ~spl10_290)), 15.55/15.70 inference(forward_demodulation,[],[f17102,f12662])). 15.55/15.70 tff(f17118,plain,( 15.55/15.70 spl10_292 | ~spl10_290), 15.55/15.70 inference(avatar_split_clause,[],[f17099,f17005,f17008])). 15.55/15.70 tff(f17207,plain,( 15.55/15.70 $less(sK4,abs1(abs1(-9))) | ~spl10_292), 15.55/15.70 inference(resolution,[],[f17009,f299])). 15.55/15.70 tff(f17311,plain,( 15.55/15.70 spl10_294 <=> $less(-9,$uminus($uminus(sK4)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_294])])). 15.55/15.70 tff(f17312,plain,( 15.55/15.70 $less(-9,$uminus($uminus(sK4))) | ~spl10_294), 15.55/15.70 inference(avatar_component_clause,[],[f17311])). 15.55/15.70 tff(f17313,plain,( 15.55/15.70 spl10_294 | ~spl10_226 | ~spl10_290), 15.55/15.70 inference(avatar_split_clause,[],[f17117,f17005,f12661,f17311])). 15.55/15.70 tff(f17318,plain,( 15.55/15.70 spl10_296 <=> $less(sK4,abs1(abs1(-9)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_296])])). 15.55/15.70 tff(f17319,plain,( 15.55/15.70 $less(sK4,abs1(abs1(-9))) | ~spl10_296), 15.55/15.70 inference(avatar_component_clause,[],[f17318])). 15.55/15.70 tff(f17320,plain,( 15.55/15.70 spl10_296 | ~spl10_292), 15.55/15.70 inference(avatar_split_clause,[],[f17207,f17008,f17318])). 15.55/15.70 tff(f17406,plain,( 15.55/15.70 $less($uminus(sK4),abs1(-9)) | ~spl10_294), 15.55/15.70 inference(resolution,[],[f17312,f298])). 15.55/15.70 tff(f17513,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(-9)))) | ~spl10_296), 15.55/15.70 inference(resolution,[],[f17319,f299])). 15.55/15.70 tff(f17534,plain,( 15.55/15.70 spl10_298 <=> $less($uminus(sK4),abs1(-9))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_298])])). 15.55/15.70 tff(f17535,plain,( 15.55/15.70 $less($uminus(sK4),abs1(-9)) | ~spl10_298), 15.55/15.70 inference(avatar_component_clause,[],[f17534])). 15.55/15.70 tff(f17536,plain,( 15.55/15.70 spl10_298 | ~spl10_294), 15.55/15.70 inference(avatar_split_clause,[],[f17406,f17311,f17534])). 15.55/15.70 tff(f17625,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(-9))) | ~spl10_298), 15.55/15.70 inference(resolution,[],[f17535,f299])). 15.55/15.70 tff(f17637,plain,( 15.55/15.70 $less($uminus(sK4),$uminus(-9)) | ~$less(-9,0) | ~spl10_298), 15.55/15.70 inference(superposition,[],[f17535,f274])). 15.55/15.70 tff(f17639,plain,( 15.55/15.70 $less($uminus(sK4),9) | ~spl10_298), 15.55/15.70 inference(evaluation,[],[f17637])). 15.55/15.70 tff(f17722,plain,( 15.55/15.70 spl10_300 <=> $less($uminus(sK4),9)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_300])])). 15.55/15.70 tff(f17723,plain,( 15.55/15.70 $less($uminus(sK4),9) | ~spl10_300), 15.55/15.70 inference(avatar_component_clause,[],[f17722])). 15.55/15.70 tff(f17724,plain,( 15.55/15.70 spl10_300 | ~spl10_298), 15.55/15.70 inference(avatar_split_clause,[],[f17639,f17534,f17722])). 15.55/15.70 tff(f17727,plain,( 15.55/15.70 $less($uminus(sK4),abs1(9)) | ~spl10_300), 15.55/15.70 inference(resolution,[],[f17723,f299])). 15.55/15.70 tff(f17823,plain,( 15.55/15.70 spl10_302 <=> $less($uminus(sK4),abs1(9))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_302])])). 15.55/15.70 tff(f17824,plain,( 15.55/15.70 $less($uminus(sK4),abs1(9)) | ~spl10_302), 15.55/15.70 inference(avatar_component_clause,[],[f17823])). 15.55/15.70 tff(f17825,plain,( 15.55/15.70 spl10_302 | ~spl10_300), 15.55/15.70 inference(avatar_split_clause,[],[f17727,f17722,f17823])). 15.55/15.70 tff(f17907,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(9))) | ~spl10_302), 15.55/15.70 inference(resolution,[],[f17824,f299])). 15.55/15.70 tff(f17926,plain,( 15.55/15.70 spl10_304 <=> $less(sK4,abs1(abs1(abs1(-9))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_304])])). 15.55/15.70 tff(f17927,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(-9)))) | ~spl10_304), 15.55/15.70 inference(avatar_component_clause,[],[f17926])). 15.55/15.70 tff(f17928,plain,( 15.55/15.70 spl10_304 | ~spl10_296), 15.55/15.70 inference(avatar_split_clause,[],[f17513,f17318,f17926])). 15.55/15.70 tff(f18010,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(abs1(-9))))) | ~spl10_304), 15.55/15.70 inference(resolution,[],[f17927,f299])). 15.55/15.70 tff(f18118,plain,( 15.55/15.70 spl10_306 <=> $less($uminus(sK4),abs1(abs1(-9)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_306])])). 15.55/15.70 tff(f18119,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(-9))) | ~spl10_306), 15.55/15.70 inference(avatar_component_clause,[],[f18118])). 15.55/15.70 tff(f18120,plain,( 15.55/15.70 spl10_306 | ~spl10_298), 15.55/15.70 inference(avatar_split_clause,[],[f17625,f17534,f18118])). 15.55/15.70 tff(f18124,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(-9)))) | ~spl10_306), 15.55/15.70 inference(resolution,[],[f18119,f299])). 15.55/15.70 tff(f18230,plain,( 15.55/15.70 spl10_308 <=> $less($uminus(sK4),abs1(abs1(9)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_308])])). 15.55/15.70 tff(f18231,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(9))) | ~spl10_308), 15.55/15.70 inference(avatar_component_clause,[],[f18230])). 15.55/15.70 tff(f18232,plain,( 15.55/15.70 spl10_308 | ~spl10_302), 15.55/15.70 inference(avatar_split_clause,[],[f17907,f17823,f18230])). 15.55/15.70 tff(f18321,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(9)))) | ~spl10_308), 15.55/15.70 inference(resolution,[],[f18231,f299])). 15.55/15.70 tff(f18632,plain,( 15.55/15.70 spl10_310 <=> $less(sK4,abs1(abs1(abs1(abs1(-9)))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_310])])). 15.55/15.70 tff(f18633,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(abs1(-9))))) | ~spl10_310), 15.55/15.70 inference(avatar_component_clause,[],[f18632])). 15.55/15.70 tff(f18634,plain,( 15.55/15.70 spl10_310 | ~spl10_304), 15.55/15.70 inference(avatar_split_clause,[],[f18010,f17926,f18632])). 15.55/15.70 tff(f18638,plain,( 15.55/15.70 $less(sK4,abs1(abs1(abs1(abs1(abs1(-9)))))) | ~spl10_310), 15.55/15.70 inference(resolution,[],[f18633,f299])). 15.55/15.70 tff(f18884,plain,( 15.55/15.70 spl10_312 <=> $less($uminus(sK4),abs1(abs1(abs1(-9))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_312])])). 15.55/15.70 tff(f18885,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(-9)))) | ~spl10_312), 15.55/15.70 inference(avatar_component_clause,[],[f18884])). 15.55/15.70 tff(f18886,plain,( 15.55/15.70 spl10_312 | ~spl10_306), 15.55/15.70 inference(avatar_split_clause,[],[f18124,f18118,f18884])). 15.55/15.70 tff(f18890,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(abs1(-9))))) | ~spl10_312), 15.55/15.70 inference(resolution,[],[f18885,f299])). 15.55/15.70 tff(f18991,plain,( 15.55/15.70 spl10_314 <=> $less($uminus(sK4),abs1(abs1(abs1(9))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_314])])). 15.55/15.70 tff(f18992,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(9)))) | ~spl10_314), 15.55/15.70 inference(avatar_component_clause,[],[f18991])). 15.55/15.70 tff(f18993,plain,( 15.55/15.70 spl10_314 | ~spl10_308), 15.55/15.70 inference(avatar_split_clause,[],[f18321,f18230,f18991])). 15.55/15.70 tff(f19191,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(abs1(9))))) | ~spl10_314), 15.55/15.70 inference(resolution,[],[f18992,f299])). 15.55/15.70 tff(f19408,plain,( 15.55/15.70 spl10_316 <=> $less(sK4,abs1(abs1(abs1(abs1(abs1(-9))))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_316])])). 15.55/15.70 tff(f19410,plain,( 15.55/15.70 spl10_316 | ~spl10_310), 15.55/15.70 inference(avatar_split_clause,[],[f18638,f18632,f19408])). 15.55/15.70 tff(f19556,plain,( 15.55/15.70 spl10_318 <=> $less($uminus(sK4),abs1(abs1(abs1(abs1(-9)))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_318])])). 15.55/15.70 tff(f19558,plain,( 15.55/15.70 spl10_318 | ~spl10_312), 15.55/15.70 inference(avatar_split_clause,[],[f18890,f18884,f19556])). 15.55/15.70 tff(f19709,plain,( 15.55/15.70 spl10_320 <=> $less($uminus(sK4),abs1(abs1(abs1(abs1(9)))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_320])])). 15.55/15.70 tff(f19711,plain,( 15.55/15.70 spl10_320 | ~spl10_314), 15.55/15.70 inference(avatar_split_clause,[],[f19191,f18991,f19709])). 15.55/15.70 tff(f19977,plain,( 15.55/15.70 spl10_322 <=> div2(0,$sum($product(137,sK4),sK1)) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_322])])). 15.55/15.70 tff(f19979,plain,( 15.55/15.70 spl10_322 | ~spl10_178), 15.55/15.70 inference(avatar_split_clause,[],[f10377,f10308,f19977])). 15.55/15.70 tff(f19984,plain,( 15.55/15.70 spl10_324 <=> $less(power1(10,sK0),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_324])])). 15.55/15.70 tff(f19987,plain,( 15.55/15.70 spl10_326 <=> ! [X0 : $int] : (~$less(num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,X0),sK3) | $less(X0,power1(10,sK0)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_326])])). 15.55/15.70 tff(f19989,plain,( 15.55/15.70 spl10_324 | spl10_326 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1270,f1206,f19987,f19984])). 15.55/15.70 tff(f19994,plain,( 15.55/15.70 spl10_328 <=> mod2(0,$sum($product(137,sK4),sK1)) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_328])])). 15.55/15.70 tff(f19996,plain,( 15.55/15.70 spl10_328 | ~spl10_178), 15.55/15.70 inference(avatar_split_clause,[],[f10378,f10308,f19994])). 15.55/15.70 tff(f20043,plain,( 15.55/15.70 spl10_330 <=> ! [X19 : lpintcm_intcm_intrp] : num_of1(X19,0,sK0) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_330])])). 15.55/15.70 tff(f20045,plain,( 15.55/15.70 spl10_174 | spl10_330 | spl10_1 | spl10_3 | spl10_107), 15.55/15.70 inference(avatar_split_clause,[],[f11281,f5802,f372,f365,f20043,f10292])). 15.55/15.70 tff(f20057,plain,( 15.55/15.70 mod2(0,sK1) = 0 | $less(0,0) | ~spl10_174), 15.55/15.70 inference(resolution,[],[f10293,f294])). 15.55/15.70 tff(f20058,plain,( 15.55/15.70 div2(0,sK1) = 0 | $less(0,0) | ~spl10_174), 15.55/15.70 inference(resolution,[],[f10293,f295])). 15.55/15.70 tff(f20081,plain,( 15.55/15.70 div2(0,sK1) = 0 | ~spl10_174), 15.55/15.70 inference(evaluation,[],[f20058])). 15.55/15.70 tff(f20082,plain,( 15.55/15.70 mod2(0,sK1) = 0 | ~spl10_174), 15.55/15.70 inference(evaluation,[],[f20057])). 15.55/15.70 tff(f20088,plain,( 15.55/15.70 spl10_332 <=> div2(0,sK1) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_332])])). 15.55/15.70 tff(f20090,plain,( 15.55/15.70 spl10_332 | ~spl10_174), 15.55/15.70 inference(avatar_split_clause,[],[f20081,f10292,f20088])). 15.55/15.70 tff(f20095,plain,( 15.55/15.70 spl10_334 <=> mod2(0,sK1) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_334])])). 15.55/15.70 tff(f20097,plain,( 15.55/15.70 spl10_334 | ~spl10_174), 15.55/15.70 inference(avatar_split_clause,[],[f20082,f10292,f20095])). 15.55/15.70 tff(f20815,plain,( 15.55/15.70 ( ! [X144:lpintcm_intcm_intrp] : ($less($uminus(sK0),sK1) | ~p1(X144,$uminus(sK0))) ) | (~spl10_1 | ~spl10_202)), 15.55/15.70 inference(resolution,[],[f12727,f11378])). 15.55/15.70 tff(f20816,plain,( 15.55/15.70 ( ! [X145:lpintcm_intcm_intrp] : ($less($uminus(sK1),sK1) | ~p1(X145,$uminus(sK1))) ) | (~spl10_1 | ~spl10_176)), 15.55/15.70 inference(resolution,[],[f12727,f10302])). 15.55/15.70 tff(f20817,plain,( 15.55/15.70 ( ! [X146:lpintcm_intcm_intrp] : ($less($uminus(sK4),sK1) | ~p1(X146,$uminus(sK4))) ) | (~spl10_1 | ~spl10_218)), 15.55/15.70 inference(resolution,[],[f12727,f12356])). 15.55/15.70 tff(f20840,plain,( 15.55/15.70 spl10_336 <=> ! [X144 : lpintcm_intcm_intrp] : ~p1(X144,$uminus(sK0))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_336])])). 15.55/15.70 tff(f20842,plain,( 15.55/15.70 spl10_336 | spl10_108 | spl10_1 | ~spl10_202), 15.55/15.70 inference(avatar_split_clause,[],[f20815,f11377,f365,f5808,f20840])). 15.55/15.70 tff(f20985,plain,( 15.55/15.70 spl10_338 <=> ! [X145 : lpintcm_intcm_intrp] : ~p1(X145,$uminus(sK1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_338])])). 15.55/15.70 tff(f20991,plain,( 15.55/15.70 spl10_340 <=> $less($uminus(sK1),sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_340])])). 15.55/15.70 tff(f20993,plain,( 15.55/15.70 spl10_338 | spl10_340 | spl10_1 | ~spl10_176), 15.55/15.70 inference(avatar_split_clause,[],[f20816,f10301,f365,f20991,f20985])). 15.55/15.70 tff(f21079,plain,( 15.55/15.70 spl10_343 <=> ~$less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_343])])). 15.55/15.70 tff(f21085,plain,( 15.55/15.70 spl10_344 <=> power1(10,sK0) = sK3), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_344])])). 15.55/15.70 tff(f21086,plain,( 15.55/15.70 power1(10,sK0) = sK3 | ~spl10_344), 15.55/15.70 inference(avatar_component_clause,[],[f21085])). 15.55/15.70 tff(f21087,plain,( 15.55/15.70 spl10_324 | ~spl10_343 | spl10_344 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1297,f1206,f21085,f21079,f19984])). 15.55/15.70 tff(f21148,plain,( 15.55/15.70 spl10_346 <=> ! [X146 : lpintcm_intcm_intrp] : ~p1(X146,$uminus(sK4))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_346])])). 15.55/15.70 tff(f21150,plain,( 15.55/15.70 spl10_346 | spl10_116 | spl10_1 | ~spl10_218), 15.55/15.70 inference(avatar_split_clause,[],[f20817,f12355,f365,f6209,f21148])). 15.55/15.70 tff(f21344,plain,( 15.55/15.70 ( ! [X144:lpintcm_intcm_intrp] : ($less($uminus(sK0),sK0) | ~p1(X144,$uminus(sK0))) ) | (~spl10_3 | ~spl10_202)), 15.55/15.70 inference(resolution,[],[f13038,f11378])). 15.55/15.70 tff(f21372,plain,( 15.55/15.70 spl10_348 <=> $less($uminus(sK0),sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_348])])). 15.55/15.70 tff(f21374,plain,( 15.55/15.70 spl10_336 | spl10_348 | spl10_3 | ~spl10_202), 15.55/15.70 inference(avatar_split_clause,[],[f21344,f11377,f372,f21372,f20840])). 15.55/15.70 tff(f21555,plain,( 15.55/15.70 ( ! [X144:lpintcm_intcm_intrp] : ($less($uminus(sK0),sK4) | ~p1(X144,$uminus(sK0))) ) | (~spl10_9 | ~spl10_202)), 15.55/15.70 inference(resolution,[],[f13667,f11378])). 15.55/15.70 tff(f21557,plain,( 15.55/15.70 ( ! [X146:lpintcm_intcm_intrp] : ($less($uminus(sK4),sK4) | ~p1(X146,$uminus(sK4))) ) | (~spl10_9 | ~spl10_218)), 15.55/15.70 inference(resolution,[],[f13667,f12356])). 15.55/15.70 tff(f21579,plain,( 15.55/15.70 spl10_336 | spl10_132 | spl10_9 | ~spl10_202), 15.55/15.70 inference(avatar_split_clause,[],[f21555,f11377,f393,f6932,f20840])). 15.55/15.70 tff(f21930,plain,( 15.55/15.70 spl10_350 <=> $less($uminus(sK4),sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_350])])). 15.55/15.70 tff(f21932,plain,( 15.55/15.70 spl10_346 | spl10_350 | spl10_9 | ~spl10_218), 15.55/15.70 inference(avatar_split_clause,[],[f21557,f12355,f393,f21930,f21148])). 15.55/15.70 tff(f22051,plain,( 15.55/15.70 spl10_352 <=> $less(1,sK4)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_352])])). 15.55/15.70 tff(f22052,plain,( 15.55/15.70 $less(1,sK4) | ~spl10_352), 15.55/15.70 inference(avatar_component_clause,[],[f22051])). 15.55/15.70 tff(f22054,plain,( 15.55/15.70 spl10_354 <=> ! [X14 : lpintcm_intcm_intrp] : ~p1(X14,sK0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_354])])). 15.55/15.70 tff(f22056,plain,( 15.55/15.70 spl10_352 | ~spl10_127 | spl10_354 | spl10_9 | spl10_11), 15.55/15.70 inference(avatar_split_clause,[],[f13853,f400,f393,f22054,f6570,f22051])). 15.55/15.70 tff(f22057,plain,( 15.55/15.70 mod2(1,sK4) = 1 | $less(1,0) | ~spl10_352), 15.55/15.70 inference(resolution,[],[f22052,f294])). 15.55/15.70 tff(f22058,plain,( 15.55/15.70 div2(1,sK4) = 0 | $less(1,0) | ~spl10_352), 15.55/15.70 inference(resolution,[],[f22052,f295])). 15.55/15.70 tff(f22074,plain,( 15.55/15.70 div2(1,sK4) = 0 | ~spl10_352), 15.55/15.70 inference(evaluation,[],[f22058])). 15.55/15.70 tff(f22075,plain,( 15.55/15.70 mod2(1,sK4) = 1 | ~spl10_352), 15.55/15.70 inference(evaluation,[],[f22057])). 15.55/15.70 tff(f22081,plain,( 15.55/15.70 spl10_356 <=> div2(1,sK4) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_356])])). 15.55/15.70 tff(f22083,plain,( 15.55/15.70 spl10_356 | ~spl10_352), 15.55/15.70 inference(avatar_split_clause,[],[f22074,f22051,f22081])). 15.55/15.70 tff(f22088,plain,( 15.55/15.70 spl10_358 <=> mod2(1,sK4) = 1), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_358])])). 15.55/15.70 tff(f22089,plain,( 15.55/15.70 mod2(1,sK4) = 1 | ~spl10_358), 15.55/15.70 inference(avatar_component_clause,[],[f22088])). 15.55/15.70 tff(f22090,plain,( 15.55/15.70 spl10_358 | ~spl10_352), 15.55/15.70 inference(avatar_split_clause,[],[f22075,f22051,f22088])). 15.55/15.70 tff(f22123,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(1))) | (~spl10_214 | ~spl10_358)), 15.55/15.70 inference(superposition,[],[f12315,f22089])). 15.55/15.70 tff(f22124,plain,( 15.55/15.70 $less($uminus(sK4),abs1(1)) | (~spl10_214 | ~spl10_358)), 15.55/15.70 inference(superposition,[],[f12246,f22089])). 15.55/15.70 tff(f22125,plain,( 15.55/15.70 $less($uminus(sK4),1) | (~spl10_214 | ~spl10_358)), 15.55/15.70 inference(superposition,[],[f12201,f22089])). 15.55/15.70 tff(f22164,plain,( 15.55/15.70 spl10_360 <=> $less($uminus(sK4),1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_360])])). 15.55/15.70 tff(f22166,plain,( 15.55/15.70 spl10_360 | ~spl10_214 | ~spl10_358), 15.55/15.70 inference(avatar_split_clause,[],[f22125,f22088,f12200,f22164])). 15.55/15.70 tff(f22192,plain,( 15.55/15.70 spl10_362 <=> $less($uminus(sK4),abs1(1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_362])])). 15.55/15.70 tff(f22193,plain,( 15.55/15.70 $less($uminus(sK4),abs1(1)) | ~spl10_362), 15.55/15.70 inference(avatar_component_clause,[],[f22192])). 15.55/15.70 tff(f22194,plain,( 15.55/15.70 spl10_362 | ~spl10_214 | ~spl10_358), 15.55/15.70 inference(avatar_split_clause,[],[f22124,f22088,f12200,f22192])). 15.55/15.70 tff(f22198,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(1))) | ~spl10_362), 15.55/15.70 inference(resolution,[],[f22193,f299])). 15.55/15.70 tff(f22327,plain,( 15.55/15.70 spl10_364 <=> $less($uminus(sK4),abs1(abs1(1)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_364])])). 15.55/15.70 tff(f22328,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(1))) | ~spl10_364), 15.55/15.70 inference(avatar_component_clause,[],[f22327])). 15.55/15.70 tff(f22329,plain,( 15.55/15.70 spl10_364 | ~spl10_214 | ~spl10_358), 15.55/15.70 inference(avatar_split_clause,[],[f22123,f22088,f12200,f22327])). 15.55/15.70 tff(f22412,plain,( 15.55/15.70 spl10_364 | ~spl10_362), 15.55/15.70 inference(avatar_split_clause,[],[f22198,f22192,f22327])). 15.55/15.70 tff(f22416,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(1)))) | ~spl10_364), 15.55/15.70 inference(resolution,[],[f22328,f299])). 15.55/15.70 tff(f22726,plain,( 15.55/15.70 spl10_366 <=> $less(sK6(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)),power1(10,sK0))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_366])])). 15.55/15.70 tff(f22728,plain,( 15.55/15.70 spl10_324 | spl10_366 | spl10_344 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1295,f1206,f21085,f22726,f19984])). 15.55/15.70 tff(f22729,plain,( 15.55/15.70 num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,sK3) = sK3 | (~spl10_26 | ~spl10_344)), 15.55/15.70 inference(backward_demodulation,[],[f21086,f1207])). 15.55/15.70 tff(f22803,plain,( 15.55/15.70 spl10_368 <=> num_of1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,sK3) = sK3), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_368])])). 15.55/15.70 tff(f22805,plain,( 15.55/15.70 spl10_368 | ~spl10_26 | ~spl10_344), 15.55/15.70 inference(avatar_split_clause,[],[f22729,f21085,f1206,f22803])). 15.55/15.70 tff(f23318,plain,( 15.55/15.70 spl10_370 <=> $less($uminus(sK4),abs1(abs1(abs1(1))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_370])])). 15.55/15.70 tff(f23319,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(1)))) | ~spl10_370), 15.55/15.70 inference(avatar_component_clause,[],[f23318])). 15.55/15.70 tff(f23320,plain,( 15.55/15.70 spl10_370 | ~spl10_364), 15.55/15.70 inference(avatar_split_clause,[],[f22416,f22327,f23318])). 15.55/15.70 tff(f23324,plain,( 15.55/15.70 $less($uminus(sK4),abs1(abs1(abs1(abs1(1))))) | ~spl10_370), 15.55/15.70 inference(resolution,[],[f23319,f299])). 15.55/15.70 tff(f24240,plain,( 15.55/15.70 spl10_372 <=> $less($uminus(sK4),abs1(abs1(abs1(abs1(1)))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_372])])). 15.55/15.70 tff(f24242,plain,( 15.55/15.70 spl10_372 | ~spl10_370), 15.55/15.70 inference(avatar_split_clause,[],[f23324,f23318,f24240])). 15.55/15.70 tff(f24391,plain,( 15.55/15.70 spl10_374 <=> $less(1,sK1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_374])])). 15.55/15.70 tff(f24392,plain,( 15.55/15.70 $less(1,sK1) | ~spl10_374), 15.55/15.70 inference(avatar_component_clause,[],[f24391])). 15.55/15.70 tff(f24393,plain,( 15.55/15.70 spl10_374 | ~spl10_119 | spl10_354 | spl10_1 | spl10_11), 15.55/15.70 inference(avatar_split_clause,[],[f13855,f400,f365,f22054,f6409,f24391])). 15.55/15.70 tff(f24394,plain,( 15.55/15.70 mod2(1,sK1) = 1 | $less(1,0) | ~spl10_374), 15.55/15.70 inference(resolution,[],[f24392,f294])). 15.55/15.70 tff(f24395,plain,( 15.55/15.70 div2(1,sK1) = 0 | $less(1,0) | ~spl10_374), 15.55/15.70 inference(resolution,[],[f24392,f295])). 15.55/15.70 tff(f24411,plain,( 15.55/15.70 div2(1,sK1) = 0 | ~spl10_374), 15.55/15.70 inference(evaluation,[],[f24395])). 15.55/15.70 tff(f24412,plain,( 15.55/15.70 mod2(1,sK1) = 1 | ~spl10_374), 15.55/15.70 inference(evaluation,[],[f24394])). 15.55/15.70 tff(f24418,plain,( 15.55/15.70 spl10_376 <=> div2(1,sK1) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_376])])). 15.55/15.70 tff(f24420,plain,( 15.55/15.70 spl10_376 | ~spl10_374), 15.55/15.70 inference(avatar_split_clause,[],[f24411,f24391,f24418])). 15.55/15.70 tff(f24425,plain,( 15.55/15.70 spl10_378 <=> mod2(1,sK1) = 1), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_378])])). 15.55/15.70 tff(f24426,plain,( 15.55/15.70 mod2(1,sK1) = 1 | ~spl10_378), 15.55/15.70 inference(avatar_component_clause,[],[f24425])). 15.55/15.70 tff(f24427,plain,( 15.55/15.70 spl10_378 | ~spl10_374), 15.55/15.70 inference(avatar_split_clause,[],[f24412,f24391,f24425])). 15.55/15.70 tff(f24461,plain,( 15.55/15.70 $less($uminus(sK1),abs1(abs1(1))) | (~spl10_170 | ~spl10_378)), 15.55/15.70 inference(superposition,[],[f10190,f24426])). 15.55/15.70 tff(f24462,plain,( 15.55/15.70 $less($uminus(sK1),abs1(1)) | (~spl10_170 | ~spl10_378)), 15.55/15.70 inference(superposition,[],[f10168,f24426])). 15.55/15.70 tff(f24463,plain,( 15.55/15.70 $less($uminus(sK1),1) | (~spl10_170 | ~spl10_378)), 15.55/15.70 inference(superposition,[],[f10157,f24426])). 15.55/15.70 tff(f24704,plain,( 15.55/15.70 spl10_380 <=> $less($uminus(sK1),1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_380])])). 15.55/15.70 tff(f24706,plain,( 15.55/15.70 spl10_380 | ~spl10_170 | ~spl10_378), 15.55/15.70 inference(avatar_split_clause,[],[f24463,f24425,f10156,f24704])). 15.55/15.70 tff(f24779,plain,( 15.55/15.70 spl10_382 <=> $less($uminus(sK1),abs1(1))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_382])])). 15.55/15.70 tff(f24780,plain,( 15.55/15.70 $less($uminus(sK1),abs1(1)) | ~spl10_382), 15.55/15.70 inference(avatar_component_clause,[],[f24779])). 15.55/15.70 tff(f24781,plain,( 15.55/15.70 spl10_382 | ~spl10_170 | ~spl10_378), 15.55/15.70 inference(avatar_split_clause,[],[f24462,f24425,f10156,f24779])). 15.55/15.70 tff(f24836,plain,( 15.55/15.70 $less($uminus(sK1),abs1(abs1(1))) | ~spl10_382), 15.55/15.70 inference(resolution,[],[f24780,f299])). 15.55/15.70 tff(f24953,plain,( 15.55/15.70 spl10_384 <=> $less($uminus(sK1),abs1(abs1(1)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_384])])). 15.55/15.70 tff(f24954,plain,( 15.55/15.70 $less($uminus(sK1),abs1(abs1(1))) | ~spl10_384), 15.55/15.70 inference(avatar_component_clause,[],[f24953])). 15.55/15.70 tff(f24955,plain,( 15.55/15.70 spl10_384 | ~spl10_170 | ~spl10_378), 15.55/15.70 inference(avatar_split_clause,[],[f24461,f24425,f10156,f24953])). 15.55/15.70 tff(f24956,plain,( 15.55/15.70 spl10_384 | ~spl10_382), 15.55/15.70 inference(avatar_split_clause,[],[f24836,f24779,f24953])). 15.55/15.70 tff(f24960,plain,( 15.55/15.70 $less($uminus(sK1),abs1(abs1(abs1(1)))) | ~spl10_384), 15.55/15.70 inference(resolution,[],[f24954,f299])). 15.55/15.70 tff(f25046,plain,( 15.55/15.70 spl10_386 <=> $less($uminus(sK1),abs1(abs1(abs1(1))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_386])])). 15.55/15.70 tff(f25047,plain,( 15.55/15.70 $less($uminus(sK1),abs1(abs1(abs1(1)))) | ~spl10_386), 15.55/15.70 inference(avatar_component_clause,[],[f25046])). 15.55/15.70 tff(f25048,plain,( 15.55/15.70 spl10_386 | ~spl10_384), 15.55/15.70 inference(avatar_split_clause,[],[f24960,f24953,f25046])). 15.55/15.70 tff(f25052,plain,( 15.55/15.70 $less($uminus(sK1),abs1(abs1(abs1(abs1(1))))) | ~spl10_386), 15.55/15.70 inference(resolution,[],[f25047,f299])). 15.55/15.70 tff(f25174,plain,( 15.55/15.70 spl10_388 <=> $less($uminus(sK1),abs1(abs1(abs1(abs1(1)))))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_388])])). 15.55/15.70 tff(f25176,plain,( 15.55/15.70 spl10_388 | ~spl10_386), 15.55/15.70 inference(avatar_split_clause,[],[f25052,f25046,f25174])). 15.55/15.70 tff(f25415,plain,( 15.55/15.70 spl10_390 <=> $less($uminus(sK0),-1)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_390])])). 15.55/15.70 tff(f25421,plain,( 15.55/15.70 spl10_393 <=> ~$less(1,$uminus($uminus(sK0)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_393])])). 15.55/15.70 tff(f25423,plain,( 15.55/15.70 spl10_390 | ~spl10_393 | spl10_65 | ~spl10_208), 15.55/15.70 inference(avatar_split_clause,[],[f14388,f11685,f2813,f25421,f25415])). 15.55/15.70 tff(f25788,plain,( 15.55/15.70 spl10_394 <=> ! [X1 : $int] : $less($uminus(sK3),mod2(X1,sK3))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_394])])). 15.55/15.70 tff(f25789,plain,( 15.55/15.70 ( ! [X1:$int] : ($less($uminus(sK3),mod2(X1,sK3))) ) | ~spl10_394), 15.55/15.70 inference(avatar_component_clause,[],[f25788])). 15.55/15.70 tff(f25790,plain,( 15.55/15.70 spl10_70 | spl10_394 | ~spl10_76), 15.55/15.70 inference(avatar_split_clause,[],[f3101,f3094,f25788,f2965])). 15.55/15.70 tff(f25806,plain,( 15.55/15.70 $less($uminus(sK3),0) | ~$less(0,sK3) | (~spl10_11 | ~spl10_394)), 15.55/15.70 inference(superposition,[],[f25789,f2917])). 15.55/15.70 tff(f25858,plain,( 15.55/15.70 spl10_396 <=> $less(0,sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_396])])). 15.55/15.70 tff(f25859,plain,( 15.55/15.70 $less(0,sK3) | ~spl10_396), 15.55/15.70 inference(avatar_component_clause,[],[f25858])). 15.55/15.70 tff(f25861,plain,( 15.55/15.70 spl10_397 <=> ~$less(0,sK3)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_397])])). 15.55/15.70 tff(f25867,plain,( 15.55/15.70 spl10_398 <=> $less($uminus(sK3),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_398])])). 15.55/15.70 tff(f25868,plain,( 15.55/15.70 $less($uminus(sK3),0) | ~spl10_398), 15.55/15.70 inference(avatar_component_clause,[],[f25867])). 15.55/15.70 tff(f25869,plain,( 15.55/15.70 ~spl10_397 | spl10_398 | spl10_11 | ~spl10_394), 15.55/15.70 inference(avatar_split_clause,[],[f25806,f25788,f400,f25867,f25861])). 15.55/15.70 tff(f25872,plain,( 15.55/15.70 ( ! [X2:lpintcm_intcm_intrp] : ($less($uminus(sK3),sK1) | ~p1(X2,$uminus(sK3))) ) | (~spl10_1 | ~spl10_398)), 15.55/15.70 inference(resolution,[],[f25868,f12727])). 15.55/15.70 tff(f25873,plain,( 15.55/15.70 abs1($uminus(sK3)) = $uminus($uminus(sK3)) | ~spl10_398), 15.55/15.70 inference(resolution,[],[f25868,f274])). 15.55/15.70 tff(f25902,plain,( 15.55/15.70 spl10_400 <=> abs1($uminus(sK3)) = $uminus($uminus(sK3))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_400])])). 15.55/15.70 tff(f25903,plain,( 15.55/15.70 abs1($uminus(sK3)) = $uminus($uminus(sK3)) | ~spl10_400), 15.55/15.70 inference(avatar_component_clause,[],[f25902])). 15.55/15.70 tff(f25904,plain,( 15.55/15.70 spl10_400 | ~spl10_398), 15.55/15.70 inference(avatar_split_clause,[],[f25873,f25867,f25902])). 15.55/15.70 tff(f25968,plain,( 15.55/15.70 ~$less($uminus($uminus(sK3)),0) | ~spl10_400), 15.55/15.70 inference(superposition,[],[f262,f25903])). 15.55/15.70 tff(f25993,plain,( 15.55/15.70 spl10_403 <=> ~$less($uminus($uminus(sK3)),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_403])])). 15.55/15.70 tff(f25994,plain,( 15.55/15.70 ~$less($uminus($uminus(sK3)),0) | ~spl10_403), 15.55/15.70 inference(avatar_component_clause,[],[f25993])). 15.55/15.70 tff(f25995,plain,( 15.55/15.70 ~spl10_403 | ~spl10_400), 15.55/15.70 inference(avatar_split_clause,[],[f25968,f25902,f25993])). 15.55/15.70 tff(f26014,plain,( 15.55/15.70 abs1($uminus($uminus(sK3))) = $uminus($uminus(sK3)) | ~spl10_403), 15.55/15.70 inference(resolution,[],[f25994,f275])). 15.55/15.70 tff(f26168,plain,( 15.55/15.70 spl10_404 <=> ! [X2 : lpintcm_intcm_intrp] : ~p1(X2,$uminus(sK3))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_404])])). 15.55/15.70 tff(f26170,plain,( 15.55/15.70 spl10_404 | spl10_112 | spl10_1 | ~spl10_398), 15.55/15.70 inference(avatar_split_clause,[],[f25872,f25867,f365,f5991,f26168])). 15.55/15.70 tff(f26251,plain,( 15.55/15.70 spl10_406 <=> abs1($uminus($uminus(sK3))) = $uminus($uminus(sK3))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_406])])). 15.55/15.70 tff(f26253,plain,( 15.55/15.70 spl10_406 | spl10_403), 15.55/15.70 inference(avatar_split_clause,[],[f26014,f25993,f26251])). 15.55/15.70 tff(f26548,plain,( 15.55/15.70 spl10_408 <=> ! [X18 : lpintcm_intcm_intrp] : ~$less(num_of1(X18,sK3,sK1),0)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_408])])). 15.55/15.70 tff(f26550,plain,( 15.55/15.70 spl10_396 | spl10_408 | spl10_1 | spl10_75), 15.55/15.70 inference(avatar_split_clause,[],[f5043,f3036,f365,f26548,f25858])). 15.55/15.70 tff(f26562,plain,( 15.55/15.70 mod2(0,sK3) = 0 | $less(0,0) | ~spl10_396), 15.55/15.70 inference(resolution,[],[f25859,f294])). 15.55/15.70 tff(f26563,plain,( 15.55/15.70 div2(0,sK3) = 0 | $less(0,0) | ~spl10_396), 15.55/15.70 inference(resolution,[],[f25859,f295])). 15.55/15.70 tff(f26586,plain,( 15.55/15.70 div2(0,sK3) = 0 | ~spl10_396), 15.55/15.70 inference(evaluation,[],[f26563])). 15.55/15.70 tff(f26587,plain,( 15.55/15.70 mod2(0,sK3) = 0 | ~spl10_396), 15.55/15.70 inference(evaluation,[],[f26562])). 15.55/15.70 tff(f26645,plain,( 15.55/15.70 spl10_410 <=> div2(0,sK3) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_410])])). 15.55/15.70 tff(f26647,plain,( 15.55/15.70 spl10_410 | ~spl10_396), 15.55/15.70 inference(avatar_split_clause,[],[f26586,f25858,f26645])). 15.55/15.70 tff(f26652,plain,( 15.55/15.70 spl10_412 <=> p1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),sK7(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0)))), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_412])])). 15.55/15.70 tff(f26654,plain,( 15.55/15.70 spl10_412 | spl10_70 | ~spl10_26), 15.55/15.70 inference(avatar_split_clause,[],[f1259,f1206,f2965,f26652])). 15.55/15.70 tff(f26659,plain,( 15.55/15.70 spl10_414 <=> mod2(0,sK3) = 0), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_414])])). 15.55/15.70 tff(f26661,plain,( 15.55/15.70 spl10_414 | ~spl10_396), 15.55/15.70 inference(avatar_split_clause,[],[f26587,f25858,f26659])). 15.55/15.70 tff(f27034,plain,( 15.55/15.70 spl10_417 <=> ~$less(sK4,10)), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_417])])). 15.55/15.70 tff(f27040,plain,( 15.55/15.70 spl10_418 <=> $sum(sK3,num_of_modc1(tb2t(tuple31(int,int,int,t2tb1(sK1),t2tb1(sK2),t2tb1(sK4))),0,power1(10,sK0))) = sK5), 15.55/15.70 introduced(avatar_definition,[new_symbols(naming,[spl10_418])])). 15.55/15.70 tff(f27042,plain,( 15.55/15.70 spl10_0 | ~spl10_417 | spl10_8 | ~spl10_201 | spl10_418 | ~spl10_34), 15.55/15.70 inference(avatar_split_clause,[],[f1558,f1471,f27040,f11371,f390,f27034,f362])). 15.55/15.70 tff(f27043,plain,( 15.55/15.70 $false), 15.55/15.70 inference(avatar_sat_refutation,[],[f367,f374,f381,f388,f395,f402,f596,f603,f610,f617,f685,f710,f999,f1208,f1365,f1444,f1473,f1615,f1628,f1724,f1762,f2122,f2200,f2228,f2266,f2602,f2662,f2692,f2720,f2758,f2824,f2935,f2967,f2979,f3038,f3096,f3142,f3775,f3800,f3940,f3947,f3954,f4027,f4087,f4138,f4223,f4899,f4999,f5325,f5810,f5993,f6211,f6417,f6496,f6578,f6934,f7073,f7156,f7214,f7490,f7673,f7765,f7849,f8027,f8374,f8397,f8764,f8849,f8856,f9452,f9525,f9607,f10158,f10165,f10303,f10316,f10391,f10404,f10473,f10480,f10650,f10796,f10998,f11195,f11379,f11458,f11687,f11899,f12089,f12202,f12357,f12364,f12402,f12663,f12972,f13260,f14320,f14544,f14573,f14580,f14625,f14631,f14677,f14686,f15157,f15178,f15223,f15230,f15324,f15660,f15802,f15833,f15840,f15960,f16052,f16059,f16066,f16097,f16151,f16176,f16260,f16267,f16689,f16889,f17013,f17118,f17313,f17320,f17536,f17724,f17825,f17928,f18120,f18232,f18634,f18886,f18993,f19410,f19558,f19711,f19979,f19989,f19996,f20045,f20090,f20097,f20842,f20993,f21087,f21150,f21374,f21579,f21932,f22056,f22083,f22090,f22166,f22194,f22329,f22412,f22728,f22805,f23320,f24242,f24393,f24420,f24427,f24706,f24781,f24955,f24956,f25048,f25176,f25423,f25790,f25869,f25904,f25995,f26170,f26253,f26550,f26647,f26654,f26661,f27042])). 15.55/15.70 % SZS output end Proof for theBenchmark 15.55/15.70 % ------------------------------ 15.55/15.70 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 15.55/15.70 % Termination reason: Refutation 15.55/15.70 15.55/15.70 % Memory used [KB]: 20084 15.55/15.70 % Time elapsed: 0.748 s 15.55/15.70 % ------------------------------ 15.55/15.70 % ------------------------------ 15.55/15.70 % Success in time 15.458 s 15.55/15.70 EOF