0.06/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.10 % Command : do_CVC4 %s %d 0.09/0.31 % Computer : n006.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 960 0.09/0.31 % WCLimit : 120 0.09/0.31 % DateTime : Thu Jul 2 07:48:45 EDT 2020 0.09/0.31 % CPUTime : 0.16/0.49 %----Proving TF0_NAR, FOF, or CNF 0.16/0.50 ------- cvc4-fof casc j10 : /export/starexec/sandbox2/benchmark/theBenchmark.p at 960... 0.16/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.78/0.99 % SZS status Theorem for theBenchmark 0.78/0.99 % SZS output start Proof for theBenchmark 0.78/0.99 (skolem (forall ((T $$unsorted)) (let ((_let_0 (bit0 (bit1 pls)))) (or (not (is_int T)) (not (= (plus_plus_int (power_power_int s (number_number_of_nat _let_0)) one_one_int) (times_times_int (plus_plus_int (times_times_int (number_number_of_int (bit0 _let_0)) m) one_one_int) T))))) ) 0.78/0.99 ( skv_1 ) 0.78/0.99 ) 0.78/0.99 (skolem (forall ((S $$unsorted)) (let ((_let_0 (number_number_of_int (bit0 (bit0 (bit1 pls)))))) (let ((_let_1 (times_times_int _let_0 m))) (let ((_let_2 (plus_plus_int _let_1 one_one_int))) (or (not (is_int S)) (not (ord_less_eq_int zero_zero_int S)) (not (zcong s1 S _let_2)) (not (ord_less_int S _let_2)))))) ) 0.78/0.99 ( skv_2 ) 0.78/0.99 ) 0.78/0.99 (skolem (forall ((X $$unsorted)) (let ((_let_0 (number_number_of_int (bit0 (bit0 (bit1 pls)))))) (let ((_let_1 (times_times_int _let_0 m))) (let ((_let_2 (plus_plus_int _let_1 one_one_int))) (or (not (is_int X)) (not (ord_less_eq_int zero_zero_int X)) (not (zcong s1 X _let_2)) (not (forall ((Y $$unsorted)) (or (not (is_int Y)) (not (ord_less_eq_int zero_zero_int Y)) (not (ord_less_int Y _let_2)) (not (zcong s1 Y _let_2)) (= X Y)) )) (not (ord_less_int X _let_2)))))) ) 0.78/0.99 ( skv_3 ) 0.78/0.99 ) 0.78/0.99 (skolem (forall ((S1 $$unsorted)) (let ((_let_0 (bit0 (bit1 pls)))) (or (not (is_int S1)) (not (zcong (power_power_int S1 (number_number_of_nat _let_0)) (number_number_of_int min) (plus_plus_int (times_times_int (number_number_of_int (bit0 _let_0)) m) one_one_int))))) ) 0.78/0.99 ( skv_4 ) 0.78/0.99 ) 0.78/0.99 (skolem (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (= (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) (plus_plus_int (power_power_int X _let_0) (power_power_int Y _let_0)))) (not (is_int Y)) (not (is_int X)))) ) 0.78/0.99 ( skv_5 skv_6 ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((W_1 $$unsorted) (Z_1 $$unsorted)) (= (ord_less_eq_int (plus_plus_int W_1 one_one_int) Z_1) (ord_less_int W_1 Z_1)) ) 0.78/0.99 ( one_one_int, t ) 0.78/0.99 ( pls, pls ) 0.78/0.99 ( pls, min ) 0.78/0.99 ( min, min ) 0.78/0.99 ( min, zero_zero_int ) 0.78/0.99 ( zero_zero_int, one_one_int ) 0.78/0.99 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/0.99 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/0.99 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/0.99 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/0.99 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (ord_less_eq_int K1 K2) (ord_less_int (bit0 K1) (bit1 K2))) ) 0.78/0.99 ( one_one_int, t ) 0.78/0.99 ( pls, min ) 0.78/0.99 ( min, pls ) 0.78/0.99 ( min, min ) 0.78/0.99 ( zero_zero_int, one_one_int ) 0.78/0.99 ( zero_zero_int, zero_zero_int ) 0.78/0.99 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.78/0.99 ( zero_zero_int, s ) 0.78/0.99 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.78/0.99 ( zero_zero_int, skv_2 ) 0.78/0.99 ( zero_zero_int, skv_3 ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (ord_less_eq_int (number_number_of_int X_2) (number_number_of_int Y_2)) (ord_less_eq_int X_2 Y_2)) ) 0.78/0.99 ( pls, pls ) 0.78/0.99 ( pls, (bit1 pls) ) 0.78/0.99 ( pls, (bit0 (bit1 pls)) ) 0.78/0.99 ( pls, (bit1 (bit1 pls)) ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((K $$unsorted)) (not (= min (bit0 K))) ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( (bit0 (bit1 pls)) ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((V_3 $$unsorted)) (= (ord_less_eq_int V_3 pls) (= zero_zero_nat (number_number_of_nat V_3))) ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( (bit0 (bit1 pls)) ) 0.78/0.99 ( min ) 0.78/0.99 ( zero_zero_int ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((X_2 $$unsorted)) (= (ord_less_int X_2 pls) (ord_less_real (number267125858f_real X_2) zero_zero_real)) ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( (bit0 (bit1 pls)) ) 0.78/0.99 ( min ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (ord_less_int X_2 Y_2) (ord_less_int (number_number_of_int X_2) (number_number_of_int Y_2))) ) 0.78/0.99 ( pls, pls ) 0.78/0.99 ( pls, (bit1 pls) ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((A_1 $$unsorted) (Ma $$unsorted)) (= (dvd_dvd_int Ma A_1) (zcong A_1 zero_zero_int Ma)) ) 0.78/0.99 ( (minus_minus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((Y_2 $$unsorted)) (= (ord_less_real zero_zero_real (number267125858f_real Y_2)) (ord_less_int pls Y_2)) ) 0.78/0.99 ( one_one_int ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( (bit0 (bit1 pls)) ) 0.78/0.99 ( min ) 0.78/0.99 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_eq_int K_1 min) (ord_less_eq_int (bit1 K_1) min)) ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( min ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((W_1 $$unsorted)) (= (ord_less_int W_1 zero_zero_int) (ord_less_int (bit1 W_1) zero_zero_int)) ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( min ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_int pls (bit0 K_1)) (ord_less_int pls K_1)) ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( (bit0 (bit1 pls)) ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_eq_int pls (bit1 K_1)) (ord_less_eq_int pls K_1)) ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( min ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((X_2 $$unsorted)) (= (ord_less_eq_int (number_number_of_int X_2) one_one_int) (ord_less_eq_int X_2 (bit1 pls))) ) 0.78/0.99 ( pls ) 0.78/0.99 ( (bit1 pls) ) 0.78/0.99 ( (bit0 (bit1 pls)) ) 0.78/0.99 ( min ) 0.78/0.99 ( (bit1 (bit1 pls)) ) 0.78/0.99 ( (bit0 (bit0 (bit1 pls))) ) 0.78/0.99 ) 0.78/0.99 (instantiation (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Ma $$unsorted)) (= (dvd_dvd_int Ma (minus_minus_int A_1 B_2)) (zcong A_1 B_2 Ma)) ) 0.78/1.00 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s1, s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s1, skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s1, skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int skv_4 (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted) (L_1 $$unsorted)) (= (ord_less_eq_int K_1 L_1) (ord_less_eq_int (bit0 K_1) (bit0 L_1))) ) 0.78/1.00 ( pls, pls ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_eq_int (bit1 K_1) pls) (ord_less_int K_1 pls)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (ord_less_int (bit0 K1) (bit0 K2)) (ord_less_int K1 K2)) ) 0.78/1.00 ( pls, pls ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((W_1 $$unsorted) (Z_1 $$unsorted)) (= (ord_less_eq_int W_1 Z_1) (ord_less_int W_1 (plus_plus_int Z_1 one_one_int))) ) 0.78/1.00 ( one_one_int, t ) 0.78/1.00 ( pls, min ) 0.78/1.00 ( min, pls ) 0.78/1.00 ( min, min ) 0.78/1.00 ( zero_zero_int, one_one_int ) 0.78/1.00 ( zero_zero_int, zero_zero_int ) 0.78/1.00 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.00 ( zero_zero_int, s ) 0.78/1.00 ( zero_zero_int, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.00 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.00 ( zero_zero_int, skv_2 ) 0.78/1.00 ( zero_zero_int, skv_3 ) 0.78/1.00 ( s, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.00 ( t, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.00 ( skv_2, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.00 ( skv_3, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted) (W_1 $$unsorted)) (let ((_let_0 (number_number_of_nat W_1))) (= (or (= zero_zero_nat _let_0) (ord_less_nat zero_zero_nat X_2)) (ord_less_nat zero_zero_nat (power_power_nat X_2 _let_0)))) ) 0.78/1.00 ( zero_zero_nat, pls ) 0.78/1.00 ( zero_zero_nat, (bit0 (bit1 pls)) ) 0.78/1.00 ( one_one_nat, (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (ord_less_int (bit1 K1) (bit1 K2)) (ord_less_int K1 K2)) ) 0.78/1.00 ( min, min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_eq_int pls (bit0 K_1)) (ord_less_eq_int pls K_1)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((V_3 $$unsorted) (W_1 $$unsorted)) (let ((_let_0 (number_number_of_nat W_1))) (let ((_let_1 (number_number_of_nat V_3))) (= (not (ord_less_nat _let_0 _let_1)) (ord_less_eq_nat _let_1 _let_0)))) ) 0.78/1.00 ( (bit0 (bit1 pls)), pls ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (ord_less_int (bit1 K1) (bit0 K2)) (ord_less_int K1 K2)) ) 0.78/1.00 ( min, pls ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (ord_less_eq_int K1 K2) (ord_less_eq_int (bit0 K1) (bit1 K2))) ) 0.78/1.00 ( pls, min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted) (N_1 $$unsorted)) (= (or (= one_one_nat X_2) (= zero_zero_nat N_1)) (= one_one_nat (power_power_nat X_2 N_1))) ) 0.78/1.00 ( zero_zero_nat, zero_zero_nat ) 0.78/1.00 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((W_1 $$unsorted) (Z_1 $$unsorted)) (= (ord_less_eq_int W_1 (minus_minus_int Z_1 one_one_int)) (ord_less_int W_1 Z_1)) ) 0.78/1.00 ( one_one_int, t ) 0.78/1.00 ( pls, pls ) 0.78/1.00 ( pls, min ) 0.78/1.00 ( min, min ) 0.78/1.00 ( min, zero_zero_int ) 0.78/1.00 ( zero_zero_int, one_one_int ) 0.78/1.00 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Z_1 $$unsorted)) (= (ord_less_int Z_1 zero_zero_int) (ord_less_int (plus_plus_int (plus_plus_int one_one_int Z_1) Z_1) zero_zero_int)) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_eq_int min (bit1 K_1)) (ord_less_eq_int min K_1)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (ord_less_int X_2 Y_2) (ord_less_real (number267125858f_real X_2) (number267125858f_real Y_2))) ) 0.78/1.00 ( one_one_int, t ) 0.78/1.00 ( pls, pls ) 0.78/1.00 ( pls, min ) 0.78/1.00 ( min, min ) 0.78/1.00 ( min, zero_zero_int ) 0.78/1.00 ( zero_zero_int, one_one_int ) 0.78/1.00 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_int min (bit0 K_1)) (ord_less_int min K_1)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_2 $$unsorted)) (= (ord_less_eq_real zero_zero_real (number267125858f_real Y_2)) (ord_less_eq_int pls Y_2)) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.00 ( s ) 0.78/1.00 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.00 ( skv_2 ) 0.78/1.00 ( skv_3 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_int K_1 pls) (ord_less_int (bit0 K_1) pls)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_15 $$unsorted)) (ord_less_eq_real zero_zero_real (power_power_real A_15 (number_number_of_nat (bit0 (bit1 pls))))) ) 0.78/1.00 ( one_one_real ) 0.78/1.00 ( zero_zero_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_1 $$unsorted)) (= (ord_less_int (plus_plus_int A_1 A_1) zero_zero_int) (ord_less_int A_1 zero_zero_int)) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted) (L_1 $$unsorted)) (= (ord_less_eq_int (bit1 K_1) (bit1 L_1)) (ord_less_eq_int K_1 L_1)) ) 0.78/1.00 ( min, min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted)) (= (ord_less_eq_real (number267125858f_real X_2) zero_zero_real) (ord_less_eq_int X_2 pls)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((V_3 $$unsorted) (W_1 $$unsorted)) (let ((_let_0 (number_number_of_int V_3))) (let ((_let_1 (number_number_of_int W_1))) (= (ord_less_eq_int _let_0 _let_1) (not (ord_less_int _let_1 _let_0))))) ) 0.78/1.00 ( pls, pls ) 0.78/1.00 ( pls, (bit1 pls) ) 0.78/1.00 ( pls, (bit0 (bit1 pls)) ) 0.78/1.00 ( pls, (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit1 pls), pls ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted)) (= (ord_less_int X_2 (bit1 pls)) (ord_less_real (number267125858f_real X_2) one_one_real)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_2 $$unsorted)) (= (ord_less_eq_int one_one_int (number_number_of_int Y_2)) (ord_less_eq_int (bit1 pls) Y_2)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted)) (= (ord_less_int X_2 pls) (ord_less_int (number_number_of_int X_2) zero_zero_int)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted)) (= (ord_less_eq_int (number_number_of_int X_2) zero_zero_int) (ord_less_eq_int X_2 pls)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_1 $$unsorted)) (ord_less_eq_int X_1 (power_power_int X_1 (number_number_of_nat (bit0 (bit1 pls))))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( s ) 0.78/1.00 ( s1 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_14 $$unsorted)) (not (ord_less_real (power_power_real A_14 (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_real)) ) 0.78/1.00 ( one_one_real ) 0.78/1.00 ( zero_zero_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_int min K_1) (ord_less_int min (bit1 K_1))) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_2 $$unsorted)) (= (ord_less_int one_one_int (number_number_of_int Y_2)) (ord_less_int (bit1 pls) Y_2)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (ord_less_int K1 K2) (ord_less_eq_int (bit1 K1) (bit0 K2))) ) 0.78/1.00 ( one_one_int, t ) 0.78/1.00 ( pls, pls ) 0.78/1.00 ( pls, min ) 0.78/1.00 ( min, pls ) 0.78/1.00 ( min, min ) 0.78/1.00 ( min, zero_zero_int ) 0.78/1.00 ( zero_zero_int, one_one_int ) 0.78/1.00 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((B_1_1 $$unsorted)) (is_int (twoSqu140629262sum2sq B_1_1)) ) 0.78/1.00 ( (product_Pair_int_int s one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_7 $$unsorted) (Y_5 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (ord_less_eq_int zero_zero_int (plus_plus_int (power_power_int X_7 _let_0) (power_power_int Y_5 _let_0)))) ) 0.78/1.00 ( one_one_int, one_one_int ) 0.78/1.00 ( s, one_one_int ) 0.78/1.00 ( skv_5, skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_int (bit1 K_1) pls) (ord_less_int K_1 pls)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Z $$unsorted) (W $$unsorted)) (or (ord_less_eq_int Z W) (ord_less_eq_int W Z)) ) 0.78/1.00 ( pls, min ) 0.78/1.00 ( min, pls ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_7 $$unsorted) (Y_5 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (ord_less_eq_real zero_zero_real (plus_plus_real (power_power_real X_7 _let_0) (power_power_real Y_5 _let_0)))) ) 0.78/1.00 ( one_one_real, one_one_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (ord_less_eq_real (number267125858f_real X_2) (number267125858f_real Y_2)) (ord_less_eq_int X_2 Y_2)) ) 0.78/1.00 ( one_one_int, t ) 0.78/1.00 ( pls, min ) 0.78/1.00 ( min, pls ) 0.78/1.00 ( min, min ) 0.78/1.00 ( zero_zero_int, one_one_int ) 0.78/1.00 ( zero_zero_int, zero_zero_int ) 0.78/1.00 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.00 ( zero_zero_int, s ) 0.78/1.00 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.00 ( zero_zero_int, skv_2 ) 0.78/1.00 ( zero_zero_int, skv_3 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_14 $$unsorted)) (not (ord_less_int (power_power_int A_14 (number_number_of_nat (bit0 (bit1 pls)))) zero_zero_int)) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( s ) 0.78/1.00 ( s1 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_eq_int K_1 pls) (ord_less_eq_int (bit0 K_1) pls)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_eq_int pls K_1) (ord_less_int pls (bit1 K_1))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( min ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.00 ( s ) 0.78/1.00 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.00 ( skv_2 ) 0.78/1.00 ( skv_3 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_int min K_1) (ord_less_eq_int min (bit0 K_1))) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((V_3 $$unsorted)) (= (ord_less_nat zero_zero_nat (number_number_of_nat V_3)) (ord_less_int pls V_3)) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted)) (= (ord_less_int X_2 (bit1 pls)) (ord_less_int (number_number_of_int X_2) one_one_int)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Z_1 $$unsorted)) (= (ord_less_int zero_zero_int Z_1) (ord_less_eq_int one_one_int Z_1)) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( min ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( t ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_int (bit0 K_1) min) (ord_less_eq_int K_1 min)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_6 $$unsorted) (Y_4 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (not (ord_less_int (plus_plus_int (power_power_int X_6 _let_0) (power_power_int Y_4 _let_0)) zero_zero_int))) ) 0.78/1.00 ( one_one_int, one_one_int ) 0.78/1.00 ( s, one_one_int ) 0.78/1.00 ( skv_5, skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Ma $$unsorted)) (= (zcong B_2 A_1 Ma) (zcong A_1 B_2 Ma)) ) 0.78/1.00 ( (number_number_of_int min), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (number_number_of_int min), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (number_number_of_int min), (power_power_int skv_4 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s, s1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s1, s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s1, skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s1, skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_2, s1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_3, s1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int skv_4 (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_int (bit1 K_1) min) (ord_less_int K_1 min)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( min ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_2 $$unsorted)) (= (ord_less_eq_real one_one_real (number267125858f_real Y_2)) (ord_less_eq_int (bit1 pls) Y_2)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_6 $$unsorted) (Y_4 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (not (ord_less_real (plus_plus_real (power_power_real X_6 _let_0) (power_power_real Y_4 _let_0)) zero_zero_real))) ) 0.78/1.00 ( one_one_real, one_one_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_15 $$unsorted)) (ord_less_eq_int zero_zero_int (power_power_int A_15 (number_number_of_nat (bit0 (bit1 pls))))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( s ) 0.78/1.00 ( s1 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted)) (= (ord_less_eq_int K_1 min) (ord_less_eq_int (bit0 K_1) min)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((W_1 $$unsorted)) (= (ord_less_int (bit0 W_1) zero_zero_int) (ord_less_int W_1 zero_zero_int)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K_1 $$unsorted) (L_1 $$unsorted)) (= (ord_less_int K_1 L_1) (ord_less_int (minus_minus_int K_1 L_1) zero_zero_int)) ) 0.78/1.00 ( one_one_int, t ) 0.78/1.00 ( pls, pls ) 0.78/1.00 ( pls, min ) 0.78/1.00 ( min, min ) 0.78/1.00 ( min, zero_zero_int ) 0.78/1.00 ( zero_zero_int, one_one_int ) 0.78/1.00 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.78/1.00 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_1 $$unsorted)) (= (ord_less_real A_1 zero_zero_real) (ord_less_real (plus_plus_real A_1 A_1) zero_zero_real)) ) 0.78/1.00 ( one_one_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_2 $$unsorted)) (= (ord_less_int pls Y_2) (ord_less_int zero_zero_int (number_number_of_int Y_2))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_2 $$unsorted)) (= (ord_less_eq_int zero_zero_int (number_number_of_int Y_2)) (ord_less_eq_int pls Y_2)) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.00 ( s ) 0.78/1.00 ( (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.00 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.00 ( skv_2 ) 0.78/1.00 ( skv_3 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted)) (= (ord_less_eq_real (number267125858f_real X_2) one_one_real) (ord_less_eq_int X_2 (bit1 pls))) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_2 $$unsorted)) (= (ord_less_real one_one_real (number267125858f_real Y_2)) (ord_less_int (bit1 pls) Y_2)) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_10 $$unsorted) (M_3 $$unsorted) (N_12 $$unsorted)) (= (power_power_nat A_10 (times_times_nat M_3 N_12)) (power_power_nat (power_power_nat A_10 M_3) N_12)) ) 0.78/1.00 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.00 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (times_times_nat (plus_plus_nat X_1 Y_1) (minus_minus_nat X_1 Y_1)) (minus_minus_nat (power_power_nat X_1 _let_0) (power_power_nat Y_1 _let_0)))) ) 0.78/1.00 ( one_one_nat, one_one_nat ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (or (not (ord_less_eq_int zero_zero_int X_1)) (not (ord_less_eq_int zero_zero_int Y_1)) (ord_less_eq_int zero_zero_int (times_times_int X_1 Y_1))) ) 0.78/1.00 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.78/1.00 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((M $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted)) (or (not (is_int X_1)) (not (is_int Y_1)) (not (ord_less_int zero_zero_int X_1)) (not (ord_less_int zero_zero_int Y_1)) (not (ord_less_int zero_zero_int M)) (not (zcong X_1 Y_1 M)) (not (ord_less_int X_1 M)) (not (ord_less_int Y_1 M)) (= Y_1 X_1)) ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (number_number_of_int min), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (number_number_of_int min), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (number_number_of_int min), (power_power_int skv_4 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s, s1 ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_2, s1 ) 0.78/1.00 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_3, s1 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_1 $$unsorted)) (or (not (is_int X_1)) (not (ord_less_eq_int zero_zero_int X_1)) (not (ord_less_int X_1 (number_number_of_int (bit0 (bit1 pls))))) (= one_one_int X_1) (= zero_zero_int X_1)) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( min ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.00 ( s ) 0.78/1.00 ( (undefined_int int) ) 0.78/1.00 ( m ) 0.78/1.00 ( s1 ) 0.78/1.00 ( t ) 0.78/1.00 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.00 ( skv_1 ) 0.78/1.00 ( skv_2 ) 0.78/1.00 ( skv_3 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_21 $$unsorted)) (= (times_times_int X_21 X_21) (power_power_int X_21 (number_number_of_nat (bit0 (bit1 pls))))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( zero_zero_int ) 0.78/1.00 ( s ) 0.78/1.00 ( s1 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((V_6 $$unsorted) (W_8 $$unsorted)) (= (plus_plus_int (number_number_of_int V_6) (number_number_of_int W_8)) (number_number_of_int (plus_plus_int V_6 W_8))) ) 0.78/1.00 ( (bit1 pls), (bit1 pls) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_1 $$unsorted) (N_1 $$unsorted)) (= (= zero_zero_nat (power_power_nat A_1 N_1)) (and (= zero_zero_nat A_1) (not (= zero_zero_nat N_1)))) ) 0.78/1.00 ( zero_zero_nat, zero_zero_nat ) 0.78/1.00 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Z_5 $$unsorted)) (= (plus_plus_real Z_5 Z_5) (times_times_real (number267125858f_real (bit0 (bit1 pls))) Z_5)) ) 0.78/1.00 ( one_one_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_13 $$unsorted) (N_16 $$unsorted)) (let ((_let_0 (power_power_int A_13 N_16))) (= (times_times_int _let_0 A_13) (times_times_int A_13 _let_0))) ) 0.78/1.00 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( zero_zero_int, zero_zero_nat ) 0.78/1.00 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( s, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( s1, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( skv_4, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((D_1 $$unsorted) (A $$unsorted) (B_1 $$unsorted) (M $$unsorted)) (or (not (zcong A B_1 M)) (not (zcong B_1 D_1 M)) (zcong A D_1 M)) ) 0.78/1.00 ( (number_number_of_int min), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_16 $$unsorted)) (or (not (is_int A_16)) (= A_16 (power_power_int A_16 one_one_nat))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( min ) 0.78/1.00 ( s ) 0.78/1.00 ( (undefined_int int) ) 0.78/1.00 ( m ) 0.78/1.00 ( s1 ) 0.78/1.00 ( t ) 0.78/1.00 ( skv_1 ) 0.78/1.00 ( skv_2 ) 0.78/1.00 ( skv_3 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((N_26 $$unsorted) (A_29 $$unsorted) (B_7 $$unsorted)) (or (not (ord_less_int A_29 B_7)) (not (ord_less_eq_int zero_zero_int A_29)) (not (ord_less_nat zero_zero_nat N_26)) (ord_less_int (power_power_int A_29 N_26) (power_power_int B_7 N_26))) ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int, zero_zero_int ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K $$unsorted)) (or (not (is_int K)) (= K (plus_plus_int K pls))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( min ) 0.78/1.00 ( s ) 0.78/1.00 ( (undefined_int int) ) 0.78/1.00 ( m ) 0.78/1.00 ( s1 ) 0.78/1.00 ( t ) 0.78/1.00 ( skv_1 ) 0.78/1.00 ( skv_2 ) 0.78/1.00 ( skv_3 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_17 $$unsorted) (P_2 $$unsorted) (Q_3 $$unsorted)) (= (times_times_real (power_power_real X_17 P_2) (power_power_real X_17 Q_3)) (power_power_real X_17 (plus_plus_nat P_2 Q_3))) ) 0.78/1.00 ( one_one_real, one_one_nat, one_one_nat ) 0.78/1.00 ( zero_zero_real, one_one_nat, one_one_nat ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Z_1 $$unsorted) (W_1 $$unsorted)) (or (not (is_int W_1)) (not (is_int Z_1)) (= (ord_less_int Z_1 W_1) (and (ord_less_eq_int Z_1 W_1) (not (= Z_1 W_1))))) ) 0.78/1.00 ( one_one_int, t ) 0.78/1.00 ( pls, pls ) 0.78/1.00 ( pls, min ) 0.78/1.00 ( min, pls ) 0.78/1.00 ( min, min ) 0.78/1.00 ( min, zero_zero_int ) 0.78/1.00 ( zero_zero_int, one_one_int ) 0.78/1.00 ( zero_zero_int, zero_zero_int ) 0.78/1.00 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.00 ( zero_zero_int, s ) 0.78/1.00 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.00 ( zero_zero_int, skv_2 ) 0.78/1.00 ( zero_zero_int, skv_3 ) 0.78/1.00 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((N_28 $$unsorted) (A_30 $$unsorted)) (or (not (is_int A_30)) (= zero_zero_int A_30) (not (= zero_zero_int (power_power_int A_30 N_28)))) ) 0.78/1.00 ( zero_zero_nat, zero_zero_int ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K $$unsorted)) (or (not (is_int K)) (= K (number_number_of_int K))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ( min ) 0.78/1.00 ( s ) 0.78/1.00 ( (bit1 (bit1 pls)) ) 0.78/1.00 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.00 ( (undefined_int int) ) 0.78/1.00 ( m ) 0.78/1.00 ( s1 ) 0.78/1.00 ( t ) 0.78/1.00 ( skv_1 ) 0.78/1.00 ( skv_2 ) 0.78/1.00 ( skv_3 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((N_4 $$unsorted) (A_2 $$unsorted)) (or (not (ord_less_real one_one_real A_2)) (not (ord_less_nat zero_zero_nat N_4)) (ord_less_real one_one_real (power_power_real A_2 N_4))) ) 0.78/1.00 ( zero_zero_nat, zero_zero_real ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((K $$unsorted)) (or (not (is_int K)) (= K (minus_minus_int K pls))) ) 0.78/1.00 ( one_one_int ) 0.78/1.00 ( pls ) 0.78/1.00 ( min ) 0.78/1.00 ( s ) 0.78/1.00 ( (undefined_int int) ) 0.78/1.00 ( m ) 0.78/1.00 ( s1 ) 0.78/1.00 ( t ) 0.78/1.00 ( skv_1 ) 0.78/1.00 ( skv_2 ) 0.78/1.00 ( skv_3 ) 0.78/1.00 ( skv_4 ) 0.78/1.00 ( skv_5 ) 0.78/1.00 ( skv_6 ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((W_5 $$unsorted)) (= (times_times_int (plus_plus_int one_one_int one_one_int) (number_number_of_int W_5)) (number_number_of_int (bit0 W_5))) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (or (not (twoSqu142715416sum2sq X_1)) (not (twoSqu142715416sum2sq Y_1)) (twoSqu142715416sum2sq (times_times_int X_1 Y_1))) ) 0.78/1.00 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.78/1.00 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((N_35 $$unsorted) (A_35 $$unsorted)) (or (not (ord_less_nat one_one_nat A_35)) (ord_less_nat one_one_nat (times_times_nat A_35 (power_power_nat A_35 N_35)))) ) 0.78/1.00 ( zero_zero_nat, zero_zero_nat ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((B_1 $$unsorted) (A $$unsorted) (C_1 $$unsorted)) (or (not (ord_less_int A C_1)) (not (ord_less_int B_1 C_1)) (ord_less_eq_int B_1 A) (ord_less_eq_int A B_1)) ) 0.78/1.00 ( min, min, zero_zero_int ) 0.78/1.00 ( zero_zero_int, zero_zero_int, one_one_int ) 0.78/1.00 ( zero_zero_int, zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( s, s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( t, t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_2, skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ( skv_3, skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((N_10 $$unsorted) (A_8 $$unsorted)) (or (not (ord_less_eq_real one_one_real A_8)) (ord_less_eq_real one_one_real (power_power_real A_8 N_10))) ) 0.78/1.00 ( zero_zero_nat, zero_zero_real ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.00 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((W_15 $$unsorted)) (let ((_let_0 (number_number_of_nat W_15))) (= (times_times_nat _let_0 _let_0) (power_power_nat _let_0 (number_number_of_nat (bit0 (bit1 pls)))))) ) 0.78/1.00 ( pls ) 0.78/1.00 ( (bit1 pls) ) 0.78/1.00 ( (bit0 (bit1 pls)) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_19 $$unsorted) (P_3 $$unsorted) (Q_4 $$unsorted)) (= (power_power_int X_19 (times_times_nat P_3 Q_4)) (power_power_int (power_power_int X_19 P_3) Q_4)) ) 0.78/1.00 ( zero_zero_int, zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.00 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (bit0 (bit1 pls)))) (let ((_let_1 (number_number_of_nat _let_0))) (= (power_power_real (plus_plus_real X_2 Y_2) _let_1) (plus_plus_real (plus_plus_real (power_power_real X_2 _let_1) (power_power_real Y_2 _let_1)) (times_times_real (times_times_real (number267125858f_real _let_0) X_2) Y_2))))) ) 0.78/1.00 ( one_one_real, one_one_real ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_21 $$unsorted) (N_22 $$unsorted) (B_5 $$unsorted)) (or (not (ord_less_int (power_power_int A_21 N_22) (power_power_int B_5 N_22))) (not (ord_less_eq_int zero_zero_int B_5)) (ord_less_int A_21 B_5)) ) 0.78/1.00 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.00 ) 0.78/1.00 (instantiation (forall ((A_1 $$unsorted) (B_2 $$unsorted) (Ma $$unsorted)) (or (not (is_int B_2)) (= (zcong A_1 B_2 Ma) (not (forall ((K_2 $$unsorted)) (or (not (= B_2 (plus_plus_int A_1 (times_times_int Ma K_2)))) (not (is_int K_2))) )))) ) 0.78/1.00 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( s1, s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( s1, skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( s1, skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( (power_power_int skv_4 (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_50 $$unsorted) (C_5 $$unsorted)) (= (plus_plus_nat C_5 A_50) (plus_plus_nat A_50 C_5)) ) 0.78/1.01 ( one_one_nat, one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_57 $$unsorted)) (= (power_power_real A_57 (number_number_of_nat (bit0 (bit1 pls)))) (times_times_real A_57 A_57)) ) 0.78/1.01 ( one_one_real ) 0.78/1.01 ( zero_zero_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_48 $$unsorted) (M_12 $$unsorted) (B_13 $$unsorted)) (= (plus_plus_int (times_times_int A_48 M_12) (times_times_int B_13 M_12)) (times_times_int (plus_plus_int A_48 B_13) M_12)) ) 0.78/1.01 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), t, one_one_int ) 0.78/1.01 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), skv_1, one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((V_16 $$unsorted) (V_15 $$unsorted)) (or (not (ord_less_eq_int pls V_15)) (not (ord_less_eq_int pls V_16)) (= (number267125858f_real (times_times_int V_15 V_16)) (times_times_real (number267125858f_real V_15) (number267125858f_real V_16)))) ) 0.78/1.01 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.78/1.01 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_6 $$unsorted)) (let ((_let_0 (number_number_of_int W_6))) (= (plus_plus_int (plus_plus_int one_one_int _let_0) _let_0) (number_number_of_int (bit1 W_6)))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( min ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_7328 $$unsorted) (BOUND_VARIABLE_7329 $$unsorted)) (or (not (ord_less_nat zero_zero_nat BOUND_VARIABLE_7329)) (dvd_dvd_nat BOUND_VARIABLE_7328 (power_power_nat BOUND_VARIABLE_7328 BOUND_VARIABLE_7329))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_nat ) 0.78/1.01 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_7320 $$unsorted)) (dvd_dvd_nat one_one_nat (power_power_nat one_one_nat BOUND_VARIABLE_7320)) ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z_5 $$unsorted)) (= (plus_plus_nat Z_5 Z_5) (times_times_nat (number_number_of_nat (bit0 (bit1 pls))) Z_5)) ) 0.78/1.01 ( one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_6 $$unsorted)) (let ((_let_0 (number267125858f_real W_6))) (= (number267125858f_real (bit1 W_6)) (plus_plus_real (plus_plus_real one_one_real _let_0) _let_0))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( min ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_7425 $$unsorted)) (or (= zero_zero_nat BOUND_VARIABLE_7425) (= zero_zero_nat (power_power_nat zero_zero_nat BOUND_VARIABLE_7425))) ) 0.78/1.01 ( zero_zero_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (or (not (is_int B_1_1)) (not (is_int B_2_1)) (is_int (plus_plus_int B_1_1 B_2_1))) ) 0.78/1.01 ( one_one_int, one_one_int ) 0.78/1.01 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), one_one_int ) 0.78/1.01 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.78/1.01 ( (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_7503 $$unsorted) (BOUND_VARIABLE_7504 $$unsorted)) (or (not (ord_less_nat zero_zero_nat BOUND_VARIABLE_7504)) (dvd_dvd_int BOUND_VARIABLE_7503 (power_power_int BOUND_VARIABLE_7503 BOUND_VARIABLE_7504))) ) 0.78/1.01 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( zero_zero_int, zero_zero_nat ) 0.78/1.01 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( s, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( s1, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( skv_4, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_7513 $$unsorted)) (dvd_dvd_int one_one_int (power_power_int one_one_int BOUND_VARIABLE_7513)) ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_1 $$unsorted)) (or (not (is_int A_1)) (= (not (= zero_zero_int A_1)) (ord_less_int zero_zero_int (power_power_int A_1 (number_number_of_nat (bit0 (bit1 pls))))))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( min ) 0.78/1.01 ( zero_zero_int ) 0.78/1.01 ( s ) 0.78/1.01 ( (undefined_int int) ) 0.78/1.01 ( m ) 0.78/1.01 ( s1 ) 0.78/1.01 ( t ) 0.78/1.01 ( skv_1 ) 0.78/1.01 ( skv_2 ) 0.78/1.01 ( skv_3 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_11 $$unsorted) (M_4 $$unsorted) (N_14 $$unsorted)) (= (power_power_int A_11 (plus_plus_nat M_4 N_14)) (times_times_int (power_power_int A_11 M_4) (power_power_int A_11 N_14))) ) 0.78/1.01 ( one_one_int, one_one_nat, one_one_nat ) 0.78/1.01 ( zero_zero_int, one_one_nat, one_one_nat ) 0.78/1.01 ( s, one_one_nat, one_one_nat ) 0.78/1.01 ( s1, one_one_nat, one_one_nat ) 0.78/1.01 ( skv_4, one_one_nat, one_one_nat ) 0.78/1.01 ( skv_5, one_one_nat, one_one_nat ) 0.78/1.01 ( skv_6, one_one_nat, one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (B_2 $$unsorted)) (or (not (ord_less_int one_one_int B_2)) (= (ord_less_eq_nat X_2 Y_2) (ord_less_eq_int (power_power_int B_2 X_2) (power_power_int B_2 Y_2)))) ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M_9 $$unsorted)) (= (plus_plus_int M_9 M_9) (times_times_int (plus_plus_int one_one_int one_one_int) M_9)) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_14 $$unsorted)) (= (plus_plus_int one_one_int (number_number_of_int W_14)) (number_number_of_int (plus_plus_int (bit1 pls) W_14))) ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N_17 $$unsorted) (A_17 $$unsorted)) (let ((_let_0 (power_power_nat A_17 N_17))) (or (not (ord_less_nat zero_zero_nat A_17)) (not (ord_less_nat A_17 one_one_nat)) (ord_less_nat (times_times_nat A_17 _let_0) _let_0))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_nat ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z $$unsorted)) (not (= zero_zero_int (plus_plus_int (plus_plus_int one_one_int Z) Z))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A $$unsorted) (P $$unsorted)) (or (not (is_int A)) (not (zprime P)) (not (ord_less_int zero_zero_int A)) (not (ord_less_int A P)) (not (zcong (times_times_int A A) one_one_int P)) (= A (minus_minus_int P one_one_int)) (= one_one_int A)) ) 0.78/1.01 ( min, zero_zero_int ) 0.78/1.01 ( zero_zero_int, one_one_int ) 0.78/1.01 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Ma $$unsorted) (N_1 $$unsorted) (A_1 $$unsorted)) (or (not (ord_less_int one_one_int A_1)) (= (= Ma N_1) (= (power_power_int A_1 N_1) (power_power_int A_1 Ma)))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_nat, zero_zero_int ) 0.78/1.01 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Ma $$unsorted) (N_1 $$unsorted) (A_1 $$unsorted)) (or (not (ord_less_nat one_one_nat A_1)) (= (= (power_power_nat A_1 Ma) (power_power_nat A_1 N_1)) (= Ma N_1))) ) 0.78/1.01 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_nat ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M_9 $$unsorted)) (= (plus_plus_real M_9 M_9) (times_times_real (plus_plus_real one_one_real one_one_real) M_9)) ) 0.78/1.01 ( one_one_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z_3 $$unsorted)) (= (times_times_real Z_3 (number267125858f_real (bit0 (bit1 pls)))) (plus_plus_real Z_3 Z_3)) ) 0.78/1.01 ( one_one_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_45 $$unsorted)) (or (not (is_int A_45)) (= A_45 (times_times_int one_one_int A_45))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( min ) 0.78/1.01 ( s ) 0.78/1.01 ( (undefined_int int) ) 0.78/1.01 ( m ) 0.78/1.01 ( s1 ) 0.78/1.01 ( t ) 0.78/1.01 ( skv_1 ) 0.78/1.01 ( skv_2 ) 0.78/1.01 ( skv_3 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_13 $$unsorted) (N_16 $$unsorted)) (let ((_let_0 (power_power_real A_13 N_16))) (= (times_times_real _let_0 A_13) (times_times_real A_13 _let_0))) ) 0.78/1.01 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( zero_zero_real, zero_zero_nat ) 0.78/1.01 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z $$unsorted)) (or (not (is_int Z)) (= Z (plus_plus_int zero_zero_int Z))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( min ) 0.78/1.01 ( s ) 0.78/1.01 ( (undefined_int int) ) 0.78/1.01 ( m ) 0.78/1.01 ( s1 ) 0.78/1.01 ( t ) 0.78/1.01 ( skv_1 ) 0.78/1.01 ( skv_2 ) 0.78/1.01 ( skv_3 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_49 $$unsorted) (N_37 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (power_power_real (power_power_real A_49 N_37) _let_0) (power_power_real A_49 (times_times_nat _let_0 N_37)))) ) 0.78/1.01 ( zero_zero_real, zero_zero_nat ) 0.78/1.01 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N_23 $$unsorted) (A_22 $$unsorted)) (or (not (ord_less_real zero_zero_real A_22)) (ord_less_real zero_zero_real (power_power_real A_22 N_23))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_real ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_13 $$unsorted) (N_16 $$unsorted)) (let ((_let_0 (power_power_nat A_13 N_16))) (= (times_times_nat _let_0 A_13) (times_times_nat A_13 _let_0))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_nat ) 0.78/1.01 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((V_5 $$unsorted) (W_7 $$unsorted)) (= (number267125858f_real (plus_plus_int V_5 W_7)) (plus_plus_real (number267125858f_real V_5) (number267125858f_real W_7))) ) 0.78/1.01 ( one_one_int, one_one_int ) 0.78/1.01 ( (bit1 pls), (bit1 pls) ) 0.78/1.01 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), one_one_int ) 0.78/1.01 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.78/1.01 ( (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_5 $$unsorted) (N_6 $$unsorted) (N_5 $$unsorted)) (or (not (ord_less_nat N_6 N_5)) (not (ord_less_int one_one_int A_5)) (ord_less_int (power_power_int A_5 N_6) (power_power_int A_5 N_5))) ) 0.78/1.01 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N $$unsorted) (P $$unsorted) (M $$unsorted)) (or (not (ord_less_eq_int zero_zero_int M)) (not (zprime P)) (not (dvd_dvd_int P (times_times_int M N))) (dvd_dvd_int P M) (dvd_dvd_int P N)) ) 0.78/1.01 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N_25 $$unsorted) (A_24 $$unsorted)) (or (not (ord_less_eq_real zero_zero_real A_24)) (ord_less_eq_real zero_zero_real (power_power_real A_24 N_25))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_real ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((K_1 $$unsorted)) (or (not (is_int K_1)) (= (= pls K_1) (= pls (bit0 K_1)))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ( min ) 0.78/1.01 ( s ) 0.78/1.01 ( (undefined_int int) ) 0.78/1.01 ( m ) 0.78/1.01 ( s1 ) 0.78/1.01 ( t ) 0.78/1.01 ( skv_1 ) 0.78/1.01 ( skv_2 ) 0.78/1.01 ( skv_3 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((K $$unsorted) (L $$unsorted)) (not (= (bit0 L) (bit1 K))) ) 0.78/1.01 ( pls, (bit1 pls) ) 0.78/1.01 ( (bit1 pls), pls ) 0.78/1.01 ( min, (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_7707 $$unsorted) (BOUND_VARIABLE_7708 $$unsorted)) (let ((_let_0 (ord_less_int BOUND_VARIABLE_7707 pls))) (let ((_let_1 (number_number_of_nat BOUND_VARIABLE_7708))) (let ((_let_2 (number_number_of_nat BOUND_VARIABLE_7707))) (let ((_let_3 (plus_plus_nat _let_1 _let_2))) (or (ord_less_int BOUND_VARIABLE_7708 pls) (and (or (not _let_0) (= _let_1 _let_3)) (or _let_0 (= _let_3 (number_number_of_nat (plus_plus_int BOUND_VARIABLE_7708 BOUND_VARIABLE_7707)))))))))) ) 0.78/1.01 ( one_one_int, one_one_int ) 0.78/1.01 ( one_one_int, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ( one_one_int, (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ( (bit1 pls), (bit1 pls) ) 0.78/1.01 ( (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_7725 $$unsorted) (BOUND_VARIABLE_7726 $$unsorted)) (let ((_let_0 (number_number_of_nat BOUND_VARIABLE_7725))) (or (not (ord_less_int BOUND_VARIABLE_7726 pls)) (= _let_0 (plus_plus_nat (number_number_of_nat BOUND_VARIABLE_7726) _let_0)))) ) 0.78/1.01 ( (bit1 pls), (bit1 pls) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M $$unsorted) (N $$unsorted)) (or (not (is_int M)) (not (= one_one_int (times_times_int M N))) (= (number_number_of_int min) M) (= one_one_int M)) ) 0.78/1.01 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), t ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_1 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Ma $$unsorted) (N_1 $$unsorted)) (let ((_let_0 (number_number_of_int min))) (or (not (is_int Ma)) (not (is_int N_1)) (= (or (and (= one_one_int N_1) (= one_one_int Ma)) (and (= _let_0 Ma) (= _let_0 N_1))) (= one_one_int (times_times_int Ma N_1))))) ) 0.78/1.01 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), t ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_1 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((V_16 $$unsorted) (V_15 $$unsorted)) (or (not (ord_less_eq_int pls V_15)) (not (ord_less_eq_int pls V_16)) (= (times_times_nat (number_number_of_nat V_15) (number_number_of_nat V_16)) (number_number_of_nat (times_times_int V_15 V_16)))) ) 0.78/1.01 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.78/1.01 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (and (= zero_zero_real Y_2) (= zero_zero_real X_2)) (= zero_zero_real (plus_plus_real (power_power_real X_2 _let_0) (power_power_real Y_2 _let_0))))) ) 0.78/1.01 ( one_one_real, one_one_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_11 $$unsorted) (M_4 $$unsorted) (N_14 $$unsorted)) (= (times_times_nat (power_power_nat A_11 M_4) (power_power_nat A_11 N_14)) (power_power_nat A_11 (plus_plus_nat M_4 N_14))) ) 0.78/1.01 ( zero_zero_nat, one_one_nat, one_one_nat ) 0.78/1.01 ( one_one_nat, one_one_nat, one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M $$unsorted) (X_1 $$unsorted)) (or (not (ord_less_int zero_zero_int X_1)) (not (ord_less_int X_1 M)) (not (zcong X_1 zero_zero_int M))) ) 0.78/1.01 ( one_one_int, zero_zero_int ) 0.78/1.01 ( zero_zero_int, min ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), zero_zero_int ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), t ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_2 ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_3 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (or (not (is_int B_2_1)) (not (is_int B_1_1)) (is_int (minus_minus_int B_1_1 B_2_1))) ) 0.78/1.01 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_15 $$unsorted)) (let ((_let_0 (number_number_of_int W_15))) (= (times_times_int _let_0 _let_0) (power_power_int _let_0 (number_number_of_nat (bit0 (bit1 pls)))))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ( min ) 0.78/1.01 ( (bit1 (bit1 pls)) ) 0.78/1.01 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z_3 $$unsorted)) (= (plus_plus_int Z_3 Z_3) (times_times_int Z_3 (number_number_of_int (bit0 (bit1 pls))))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (B_2 $$unsorted)) (or (not (ord_less_int one_one_int B_2)) (= (ord_less_int (power_power_int B_2 X_2) (power_power_int B_2 Y_2)) (ord_less_nat X_2 Y_2))) ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z_4 $$unsorted)) (= (plus_plus_int Z_4 Z_4) (times_times_int (number_number_of_int (bit0 (bit1 pls))) Z_4)) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((K_1 $$unsorted) (L_1 $$unsorted)) (or (not (is_int K_1)) (not (is_int L_1)) (= (= K_1 L_1) (= (bit1 K_1) (bit1 L_1)))) ) 0.78/1.01 ( one_one_int, m ) 0.78/1.01 ( pls, s1 ) 0.78/1.01 ( min, min ) 0.78/1.01 ( min, zero_zero_int ) 0.78/1.01 ( zero_zero_int, min ) 0.78/1.01 ( s, s ) 0.78/1.01 ( s, (undefined_int int) ) 0.78/1.01 ( (undefined_int int), s ) 0.78/1.01 ( m, one_one_int ) 0.78/1.01 ( m, m ) 0.78/1.01 ( s1, pls ) 0.78/1.01 ( s1, s1 ) 0.78/1.01 ( t, t ) 0.78/1.01 ( t, skv_1 ) 0.78/1.01 ( skv_1, t ) 0.78/1.01 ( skv_2, skv_2 ) 0.78/1.01 ( skv_2, skv_3 ) 0.78/1.01 ( skv_3, skv_2 ) 0.78/1.01 ( skv_4, skv_4 ) 0.78/1.01 ( skv_4, skv_6 ) 0.78/1.01 ( skv_5, skv_5 ) 0.78/1.01 ( skv_6, skv_4 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (is_int X_2)) (not (is_int Y_2)) (= (or (not (= zero_zero_int X_2)) (not (= zero_zero_int Y_2))) (ord_less_int zero_zero_int (plus_plus_int (power_power_int X_2 _let_0) (power_power_int Y_2 _let_0)))))) ) 0.78/1.01 ( one_one_int, one_one_int ) 0.78/1.01 ( s, one_one_int ) 0.78/1.01 ( skv_5, skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_31 $$unsorted) (N_30 $$unsorted) (B_8 $$unsorted)) (or (not (is_int A_31)) (not (is_int B_8)) (not (= (power_power_int A_31 N_30) (power_power_int B_8 N_30))) (not (ord_less_eq_int zero_zero_int A_31)) (not (ord_less_eq_int zero_zero_int B_8)) (not (ord_less_nat zero_zero_nat N_30)) (= A_31 B_8)) ) 0.78/1.01 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))), m ) 0.78/1.01 ( zero_zero_int, zero_zero_nat, one_one_int ) 0.78/1.01 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.01 ( s, (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.01 ( s, (number_number_of_nat (bit0 (bit1 pls))), (undefined_int int) ) 0.78/1.01 ( s1, (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.01 ( skv_4, (number_number_of_nat (bit0 (bit1 pls))), pls ) 0.78/1.01 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.01 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))), min ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((V_17 $$unsorted)) (= (number_number_of_int (plus_plus_int V_17 (bit1 pls))) (plus_plus_int (number_number_of_int V_17) one_one_int)) ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_7989 $$unsorted)) (or (= zero_zero_nat BOUND_VARIABLE_7989) (= zero_zero_int (power_power_int zero_zero_int BOUND_VARIABLE_7989))) ) 0.78/1.01 ( zero_zero_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((V_14 $$unsorted) (V_13 $$unsorted)) (or (not (ord_less_eq_int pls V_13)) (not (ord_less_eq_int pls V_14)) (= (number_number_of_nat (plus_plus_int V_13 V_14)) (plus_plus_nat (number_number_of_nat V_13) (number_number_of_nat V_14)))) ) 0.78/1.01 ( one_one_int, one_one_int ) 0.78/1.01 ( one_one_int, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ( one_one_int, (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ( (bit1 pls), (bit1 pls) ) 0.78/1.01 ( (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (= zero_zero_real (plus_plus_real (power_power_real X_2 _let_0) (power_power_real Y_2 _let_0))) (and (= zero_zero_real X_2) (= zero_zero_real Y_2)))) ) 0.78/1.01 ( one_one_real, one_one_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (or (not (is_int B_2_1)) (not (is_int B_1_1)) (is_int (legendre B_1_1 B_2_1))) ) 0.78/1.01 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_8070 $$unsorted)) (or (= zero_zero_nat BOUND_VARIABLE_8070) (= zero_zero_real (power_power_real zero_zero_real BOUND_VARIABLE_8070))) ) 0.78/1.01 ( zero_zero_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((K $$unsorted)) (= (plus_plus_int K K) (bit0 K)) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_8118 $$unsorted)) (let ((_let_0 (number_number_of_nat BOUND_VARIABLE_8118))) (or (not (= zero_zero_nat _let_0)) (= one_one_int (power_power_int zero_zero_int _let_0)))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_8127 $$unsorted)) (let ((_let_0 (number_number_of_nat BOUND_VARIABLE_8127))) (or (= zero_zero_nat _let_0) (= zero_zero_int (power_power_int zero_zero_int _let_0)))) ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((V_17 $$unsorted)) (= (plus_plus_real (number267125858f_real V_17) one_one_real) (number267125858f_real (plus_plus_int V_17 (bit1 pls)))) ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_15 $$unsorted)) (let ((_let_0 (number267125858f_real W_15))) (= (times_times_real _let_0 _let_0) (power_power_real _let_0 (number_number_of_nat (bit0 (bit1 pls)))))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z $$unsorted) (W $$unsorted)) (= (plus_plus_int W Z) (plus_plus_int Z W)) ) 0.78/1.01 ( one_one_int, one_one_int ) 0.78/1.01 ( one_one_int, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ( one_one_int, (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), one_one_int ) 0.78/1.01 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.78/1.01 ( (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ( (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_9 $$unsorted) (Y_7 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (= (power_power_nat X_9 _let_0) (power_power_nat Y_7 _let_0))) (not (ord_less_eq_nat zero_zero_nat X_9)) (not (ord_less_eq_nat zero_zero_nat Y_7)) (= X_9 Y_7))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_nat ) 0.78/1.01 ( zero_zero_nat, one_one_nat ) 0.78/1.01 ( one_one_nat, zero_zero_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z $$unsorted) (W $$unsorted)) (or (not (is_int Z)) (not (is_int W)) (not (ord_less_eq_int Z W)) (not (ord_less_eq_int W Z)) (= Z W)) ) 0.78/1.01 ( one_one_int, zero_zero_int ) 0.78/1.01 ( one_one_int, t ) 0.78/1.01 ( pls, min ) 0.78/1.01 ( min, pls ) 0.78/1.01 ( min, min ) 0.78/1.01 ( zero_zero_int, one_one_int ) 0.78/1.01 ( zero_zero_int, zero_zero_int ) 0.78/1.01 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.01 ( zero_zero_int, s ) 0.78/1.01 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.01 ( zero_zero_int, skv_2 ) 0.78/1.01 ( zero_zero_int, skv_3 ) 0.78/1.01 ( (number_number_of_int (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.01 ( s, zero_zero_int ) 0.78/1.01 ( t, one_one_int ) 0.78/1.01 ( (number_number_of_int (bit1 (bit1 pls))), zero_zero_int ) 0.78/1.01 ( skv_2, zero_zero_int ) 0.78/1.01 ( skv_3, zero_zero_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_8247 $$unsorted)) (let ((_let_0 (number_number_of_nat BOUND_VARIABLE_8247))) (or (not (= zero_zero_nat _let_0)) (= one_one_real (power_power_real zero_zero_real _let_0)))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((BOUND_VARIABLE_8256 $$unsorted)) (let ((_let_0 (number_number_of_nat BOUND_VARIABLE_8256))) (or (= zero_zero_nat _let_0) (= zero_zero_real (power_power_real zero_zero_real _let_0)))) ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_4 $$unsorted)) (let ((_let_0 (number267125858f_real W_4))) (= (plus_plus_real (plus_plus_real zero_zero_real _let_0) _let_0) (number267125858f_real (bit0 W_4)))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_56 $$unsorted) (B_17 $$unsorted)) (= (times_times_int A_56 B_17) (times_times_int B_17 A_56)) ) 0.78/1.01 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.78/1.01 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), t ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_1 ) 0.78/1.01 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_40 $$unsorted)) (or (not (is_int A_40)) (= A_40 (plus_plus_int A_40 (number_number_of_int pls)))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( min ) 0.78/1.01 ( s ) 0.78/1.01 ( (undefined_int int) ) 0.78/1.01 ( m ) 0.78/1.01 ( s1 ) 0.78/1.01 ( t ) 0.78/1.01 ( skv_1 ) 0.78/1.01 ( skv_2 ) 0.78/1.01 ( skv_3 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N_36 $$unsorted) (A_36 $$unsorted)) (let ((_let_0 (power_power_real A_36 N_36))) (or (not (ord_less_real one_one_real A_36)) (ord_less_real _let_0 (times_times_real A_36 _let_0)))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_real ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_25 $$unsorted)) (or (not (is_int A_25)) (= A_25 (plus_plus_int A_25 zero_zero_int))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( min ) 0.78/1.01 ( s ) 0.78/1.01 ( (undefined_int int) ) 0.78/1.01 ( m ) 0.78/1.01 ( s1 ) 0.78/1.01 ( t ) 0.78/1.01 ( skv_1 ) 0.78/1.01 ( skv_2 ) 0.78/1.01 ( skv_3 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (or (not (is_int B_2_1)) (not (is_int B_1_1)) (is_int (times_times_int B_1_1 B_2_1))) ) 0.78/1.01 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), t ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_1 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((L $$unsorted)) (= (bit0 (minus_minus_int min L)) (minus_minus_int min (bit1 L))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( min ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z $$unsorted)) (or (not (is_int Z)) (= Z (times_times_int Z one_one_int))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( min ) 0.78/1.01 ( s ) 0.78/1.01 ( (undefined_int int) ) 0.78/1.01 ( m ) 0.78/1.01 ( s1 ) 0.78/1.01 ( t ) 0.78/1.01 ( skv_1 ) 0.78/1.01 ( skv_2 ) 0.78/1.01 ( skv_3 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_1 $$unsorted) (N_1 $$unsorted)) (= (and (not (= zero_zero_nat N_1)) (= zero_zero_real A_1)) (= zero_zero_real (power_power_real A_1 N_1))) ) 0.78/1.01 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( zero_zero_real, zero_zero_nat ) 0.78/1.01 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M $$unsorted) (N $$unsorted) (P $$unsorted)) (or (not (zprime P)) (not (dvd_dvd_int P (times_times_int M N))) (dvd_dvd_int P M) (dvd_dvd_int P N)) ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M_10 $$unsorted) (A_42 $$unsorted)) (= (times_times_int (plus_plus_int A_42 one_one_int) M_10) (plus_plus_int M_10 (times_times_int A_42 M_10))) ) 0.78/1.01 ( t, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ( skv_1, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((V_3 $$unsorted) (V_4 $$unsorted)) (let ((_let_0 (ord_less_int V_3 V_4))) (= (ord_less_nat (number_number_of_nat V_3) (number_number_of_nat V_4)) (and (or (not _let_0) (ord_less_int pls V_4)) _let_0))) ) 0.78/1.01 ( one_one_int, t ) 0.78/1.01 ( pls, pls ) 0.78/1.01 ( pls, (bit0 (bit1 pls)) ) 0.78/1.01 ( pls, min ) 0.78/1.01 ( min, min ) 0.78/1.01 ( min, zero_zero_int ) 0.78/1.01 ( zero_zero_int, one_one_int ) 0.78/1.01 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_1_1 $$unsorted)) (or (not (is_int B_1_1)) (is_int (number_number_of_int B_1_1))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ( min ) 0.78/1.01 ( (bit1 (bit1 pls)) ) 0.78/1.01 ( (bit0 (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N $$unsorted) (M $$unsorted)) (or (not (dvd_dvd_int N M)) (ord_less_eq_int N M) (ord_less_eq_int M zero_zero_int)) ) 0.78/1.01 ( pls, min ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (minus_minus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N $$unsorted) (M $$unsorted)) (or (not (ord_less_int zero_zero_int M)) (not (ord_less_int M N)) (not (dvd_dvd_int N M))) ) 0.78/1.01 ( one_one_int, zero_zero_int ) 0.78/1.01 ( zero_zero_int, min ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), zero_zero_int ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (minus_minus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), t ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_2 ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_3 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (or (not (is_int X_1)) (not (is_int Y_1)) (ord_less_int X_1 Y_1) (= X_1 Y_1) (ord_less_int Y_1 X_1)) ) 0.78/1.01 ( one_one_int, t ) 0.78/1.01 ( pls, pls ) 0.78/1.01 ( pls, min ) 0.78/1.01 ( min, pls ) 0.78/1.01 ( min, min ) 0.78/1.01 ( t, one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((K $$unsorted)) (= (bit1 K) (plus_plus_int (plus_plus_int one_one_int K) K)) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( min ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (ord_less_real zero_zero_real (plus_plus_real (power_power_real X_2 _let_0) (power_power_real Y_2 _let_0))) (or (not (= zero_zero_real X_2)) (not (= zero_zero_real Y_2))))) ) 0.78/1.01 ( one_one_real, one_one_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((L $$unsorted)) (not (= pls (bit1 L))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( min ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((V_14 $$unsorted) (V_13 $$unsorted)) (or (not (ord_less_eq_int pls V_13)) (not (ord_less_eq_int pls V_14)) (= (number_number_of_int (plus_plus_int V_13 V_14)) (plus_plus_int (number_number_of_int V_13) (number_number_of_int V_14)))) ) 0.78/1.01 ( (bit1 pls), (bit1 pls) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_10 $$unsorted) (Y_8 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (ord_less_eq_int (power_power_int X_10 _let_0) (power_power_int Y_8 _let_0))) (not (ord_less_eq_int zero_zero_int Y_8)) (ord_less_eq_int X_10 Y_8))) ) 0.78/1.01 ( zero_zero_int, one_one_int ) 0.78/1.01 ( zero_zero_int, zero_zero_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_1_1 $$unsorted)) (or (not (is_int B_1_1)) (is_int (bit0 B_1_1))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A $$unsorted)) (let ((_let_0 (bit1 pls))) (= (times_times_int A (power_power_int A (number_number_of_nat (bit0 _let_0)))) (power_power_int A (number_number_of_nat (bit1 _let_0))))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( zero_zero_int ) 0.78/1.01 ( s ) 0.78/1.01 ( s1 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_1 $$unsorted)) (= (= zero_zero_real (plus_plus_real A_1 A_1)) (= zero_zero_real A_1)) ) 0.78/1.01 ( one_one_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M $$unsorted)) (let ((_let_0 (number_number_of_int (bit0 (bit0 (bit1 pls)))))) (let ((_let_1 (times_times_int _let_0 M))) (let ((_let_2 (plus_plus_int _let_1 one_one_int))) (or (not (zprime _let_2)) (= one_one_int (legendre (number_number_of_int min) _let_2)))))) ) 0.78/1.01 ( m ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_1 $$unsorted) (A $$unsorted)) (or (not (ord_less_int zero_zero_int A)) (not (ord_less_int zero_zero_int (times_times_int A B_1))) (ord_less_int zero_zero_int B_1)) ) 0.78/1.01 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.78/1.01 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((K $$unsorted) (I $$unsorted) (J $$unsorted)) (or (not (ord_less_eq_int I J)) (not (ord_less_eq_int J K)) (ord_less_eq_int I K)) ) 0.78/1.01 ( min, min, min ) 0.78/1.01 ( zero_zero_int, zero_zero_int, zero_zero_int ) 0.78/1.01 ( s, min, pls ) 0.78/1.01 ( t, zero_zero_int, one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_14 $$unsorted)) (= (number267125858f_real (plus_plus_int (bit1 pls) W_14)) (plus_plus_real one_one_real (number267125858f_real W_14))) ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M_9 $$unsorted)) (= (times_times_nat (plus_plus_nat one_one_nat one_one_nat) M_9) (plus_plus_nat M_9 M_9)) ) 0.78/1.01 ( one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_1 $$unsorted) (Z_1 $$unsorted)) (or (not (is_int W_1)) (not (is_int Z_1)) (= (or (= W_1 Z_1) (ord_less_int W_1 Z_1)) (ord_less_int W_1 (plus_plus_int Z_1 one_one_int)))) ) 0.78/1.01 ( zero_zero_int, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ( s, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ( t, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ( skv_2, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ( skv_3, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_1 $$unsorted) (Q $$unsorted) (R_1 $$unsorted) (B $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_0 (times_times_int B Q_1))) (let ((_let_1 (plus_plus_int _let_0 R_2))) (or (not (= _let_1 (plus_plus_int (times_times_int B_1 Q) R_1))) (not (ord_less_eq_int zero_zero_int _let_1)) (not (ord_less_int R_2 B)) (not (ord_less_eq_int zero_zero_int R_1)) (not (ord_less_int zero_zero_int B)) (not (ord_less_eq_int B B_1)) (ord_less_eq_int Q Q_1)))) ) 0.78/1.01 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int, (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_31 $$unsorted) (N_30 $$unsorted) (B_8 $$unsorted)) (or (not (= (power_power_nat A_31 N_30) (power_power_nat B_8 N_30))) (not (ord_less_eq_nat zero_zero_nat A_31)) (not (ord_less_eq_nat zero_zero_nat B_8)) (not (ord_less_nat zero_zero_nat N_30)) (= A_31 B_8)) ) 0.78/1.01 ( zero_zero_nat, zero_zero_nat, zero_zero_nat ) 0.78/1.01 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.01 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.01 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_2 $$unsorted) (N_1 $$unsorted)) (= (or (ord_less_nat zero_zero_nat X_2) (= zero_zero_nat N_1)) (ord_less_nat zero_zero_nat (power_power_nat X_2 N_1))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_nat ) 0.78/1.01 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((K $$unsorted) (M $$unsorted) (N $$unsorted)) (or (not (dvd_dvd_int K (minus_minus_int M N))) (not (dvd_dvd_int K N)) (dvd_dvd_int K M)) ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_8 $$unsorted) (Y_6 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (ord_less_int (power_power_int X_8 _let_0) (power_power_int Y_6 _let_0))) (not (ord_less_eq_int zero_zero_int Y_6)) (ord_less_int X_8 Y_6))) ) 0.78/1.01 ( zero_zero_int, one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A $$unsorted) (B_1 $$unsorted)) (or (not (is_int A)) (= A (plus_plus_int (minus_minus_int A B_1) B_1))) ) 0.78/1.01 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((P_1 $$unsorted)) (or (not (is_int P_1)) (= (and (ord_less_int one_one_int P_1) (forall ((M_1 $$unsorted)) (or (not (is_int M_1)) (not (ord_less_eq_int zero_zero_int M_1)) (not (dvd_dvd_int M_1 P_1)) (= one_one_int M_1) (= P_1 M_1)) )) (zprime P_1))) ) 0.78/1.01 ( one_one_int ) 0.78/1.01 ( pls ) 0.78/1.01 ( min ) 0.78/1.01 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.01 ( s ) 0.78/1.01 ( (undefined_int int) ) 0.78/1.01 ( m ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( s1 ) 0.78/1.01 ( t ) 0.78/1.01 ( skv_1 ) 0.78/1.01 ( skv_2 ) 0.78/1.01 ( skv_3 ) 0.78/1.01 ( skv_4 ) 0.78/1.01 ( skv_5 ) 0.78/1.01 ( skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N_23 $$unsorted) (A_22 $$unsorted)) (or (not (ord_less_nat zero_zero_nat A_22)) (ord_less_nat zero_zero_nat (power_power_nat A_22 N_23))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_nat ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W $$unsorted) (Z $$unsorted)) (or (not (ord_less_int W Z)) (ord_less_eq_int (plus_plus_int W one_one_int) Z)) ) 0.78/1.01 ( min, zero_zero_int ) 0.78/1.01 ( zero_zero_int, one_one_int ) 0.78/1.01 ( zero_zero_int, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((K_1 $$unsorted) (L_1 $$unsorted)) (or (not (is_int L_1)) (not (is_int K_1)) (= (= K_1 L_1) (= (bit0 K_1) (bit0 L_1)))) ) 0.78/1.01 ( one_one_int, m ) 0.78/1.01 ( pls, s1 ) 0.78/1.01 ( min, min ) 0.78/1.01 ( min, zero_zero_int ) 0.78/1.01 ( zero_zero_int, min ) 0.78/1.01 ( s, s ) 0.78/1.01 ( s, (undefined_int int) ) 0.78/1.01 ( (undefined_int int), s ) 0.78/1.01 ( m, one_one_int ) 0.78/1.01 ( m, m ) 0.78/1.01 ( s1, pls ) 0.78/1.01 ( s1, s1 ) 0.78/1.01 ( t, t ) 0.78/1.01 ( t, skv_1 ) 0.78/1.01 ( skv_1, t ) 0.78/1.01 ( skv_2, skv_2 ) 0.78/1.01 ( skv_2, skv_3 ) 0.78/1.01 ( skv_3, skv_2 ) 0.78/1.01 ( skv_4, skv_4 ) 0.78/1.01 ( skv_4, skv_6 ) 0.78/1.01 ( skv_5, skv_5 ) 0.78/1.01 ( skv_6, skv_4 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_2 $$unsorted) (A_1 $$unsorted)) (or (not (is_int B_2)) (not (is_int A_1)) (= (= zero_zero_int A_1) (= B_2 (plus_plus_int B_2 A_1)))) ) 0.78/1.01 ( one_one_int, one_one_int ) 0.78/1.01 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), one_one_int ) 0.78/1.01 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.78/1.01 ( (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N_17 $$unsorted) (A_17 $$unsorted)) (let ((_let_0 (power_power_int A_17 N_17))) (or (not (ord_less_int zero_zero_int A_17)) (not (ord_less_int A_17 one_one_int)) (ord_less_int (times_times_int A_17 _let_0) _let_0))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_19 $$unsorted) (N_19 $$unsorted) (N_18 $$unsorted)) (or (not (ord_less_nat N_19 N_18)) (not (ord_less_int zero_zero_int A_19)) (not (ord_less_int A_19 one_one_int)) (ord_less_int (power_power_int A_19 N_18) (power_power_int A_19 N_19))) ) 0.78/1.01 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_19 $$unsorted) (P_3 $$unsorted) (Q_4 $$unsorted)) (= (power_power_real X_19 (times_times_nat P_3 Q_4)) (power_power_real (power_power_real X_19 P_3) Q_4)) ) 0.78/1.01 ( zero_zero_real, zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.01 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((M $$unsorted) (A $$unsorted)) (or (not (is_int A)) (not (ord_less_eq_int zero_zero_int A)) (not (ord_less_int A M)) (not (zcong A zero_zero_int M)) (= zero_zero_int A)) ) 0.78/1.01 ( one_one_int, zero_zero_int ) 0.78/1.01 ( zero_zero_int, min ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), zero_zero_int ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), t ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_2 ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_3 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (or (not (ord_less_eq_int zero_zero_int (plus_plus_int (times_times_int B Q_1) R_2))) (not (ord_less_int R_2 B)) (not (ord_less_int zero_zero_int B)) (ord_less_eq_int zero_zero_int Q_1)) ) 0.78/1.01 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_1 $$unsorted) (W_1 $$unsorted)) (let ((_let_0 (number_number_of_nat W_1))) (= (= zero_zero_real (power_power_real A_1 _let_0)) (and (= zero_zero_real A_1) (not (= zero_zero_nat _let_0))))) ) 0.78/1.01 ( one_one_real, (bit0 (bit1 pls)) ) 0.78/1.01 ( zero_zero_real, pls ) 0.78/1.01 ( zero_zero_real, (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (is_int X_2)) (not (is_int Y_2)) (= (ord_less_eq_int (plus_plus_int (power_power_int X_2 _let_0) (power_power_int Y_2 _let_0)) zero_zero_int) (and (= zero_zero_int Y_2) (= zero_zero_int X_2))))) ) 0.78/1.01 ( one_one_int, one_one_int ) 0.78/1.01 ( s, one_one_int ) 0.78/1.01 ( skv_5, skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((N_10 $$unsorted) (A_8 $$unsorted)) (or (not (ord_less_eq_int one_one_int A_8)) (ord_less_eq_int one_one_int (power_power_int A_8 N_10))) ) 0.78/1.01 ( zero_zero_nat, zero_zero_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.01 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Ma $$unsorted) (X_2 $$unsorted)) (= (not (forall ((Y $$unsorted)) (or (not (zcong (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))) X_2 Ma)) (not (is_int Y))) )) (quadRes Ma X_2)) ) 0.78/1.01 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (number_number_of_int min) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((B_2 $$unsorted) (A_1 $$unsorted)) (= (= B_2 (plus_plus_nat B_2 A_1)) (= zero_zero_nat A_1)) ) 0.78/1.01 ( one_one_nat, one_one_nat ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((X_3 $$unsorted) (Y_3 $$unsorted)) (or (not (is_int X_3)) (not (is_int Y_3)) (not (ord_less_eq_int X_3 Y_3)) (= X_3 Y_3) (ord_less_int X_3 Y_3)) ) 0.78/1.01 ( one_one_int, t ) 0.78/1.01 ( pls, pls ) 0.78/1.01 ( pls, min ) 0.78/1.01 ( min, pls ) 0.78/1.01 ( min, min ) 0.78/1.01 ( zero_zero_int, one_one_int ) 0.78/1.01 ( zero_zero_int, zero_zero_int ) 0.78/1.01 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.01 ( zero_zero_int, s ) 0.78/1.01 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.01 ( zero_zero_int, skv_2 ) 0.78/1.01 ( zero_zero_int, skv_3 ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((W_4 $$unsorted)) (let ((_let_0 (number_number_of_int W_4))) (= (plus_plus_int (plus_plus_int zero_zero_int _let_0) _let_0) (number_number_of_int (bit0 W_4)))) ) 0.78/1.01 ( pls ) 0.78/1.01 ( (bit1 pls) ) 0.78/1.01 ( (bit0 (bit1 pls)) ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((A_50 $$unsorted) (C_5 $$unsorted)) (= (plus_plus_real A_50 C_5) (plus_plus_real C_5 A_50)) ) 0.78/1.01 ( one_one_real, one_one_real ) 0.78/1.01 ) 0.78/1.01 (instantiation (forall ((Z $$unsorted) (N $$unsorted)) (or (not (dvd_dvd_int Z N)) (not (ord_less_int zero_zero_int N)) (ord_less_eq_int Z N)) ) 0.78/1.01 ( pls, min ) 0.78/1.02 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (minus_minus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((B_2 $$unsorted) (A_1 $$unsorted)) (= (= B_2 (plus_plus_real B_2 A_1)) (= zero_zero_real A_1)) ) 0.78/1.02 ( one_one_real, one_one_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_41 $$unsorted)) (or (not (is_int A_41)) (= A_41 (plus_plus_int (number_number_of_int pls) A_41))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( min ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (or (not (is_int X_2)) (not (is_int Y_2)) (= (= (number267125858f_real X_2) (number267125858f_real Y_2)) (= X_2 Y_2))) ) 0.78/1.02 ( one_one_int, m ) 0.78/1.02 ( pls, s1 ) 0.78/1.02 ( min, min ) 0.78/1.02 ( min, zero_zero_int ) 0.78/1.02 ( zero_zero_int, min ) 0.78/1.02 ( s, s ) 0.78/1.02 ( s, (undefined_int int) ) 0.78/1.02 ( (undefined_int int), s ) 0.78/1.02 ( m, one_one_int ) 0.78/1.02 ( m, m ) 0.78/1.02 ( s1, pls ) 0.78/1.02 ( s1, s1 ) 0.78/1.02 ( t, t ) 0.78/1.02 ( t, skv_1 ) 0.78/1.02 ( skv_1, t ) 0.78/1.02 ( skv_2, skv_2 ) 0.78/1.02 ( skv_2, skv_3 ) 0.78/1.02 ( skv_3, skv_2 ) 0.78/1.02 ( skv_4, skv_4 ) 0.78/1.02 ( skv_4, skv_6 ) 0.78/1.02 ( skv_5, skv_5 ) 0.78/1.02 ( skv_6, skv_4 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((K_1 $$unsorted)) (or (not (is_int K_1)) (= (= min (bit1 K_1)) (= min K_1))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( (bit1 pls) ) 0.78/1.02 ( min ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_38 $$unsorted)) (or (not (is_int A_38)) (= A_38 (times_times_int A_38 (number_number_of_int (bit1 pls))))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( min ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (bit0 (bit1 pls)))) (let ((_let_1 (number_number_of_nat _let_0))) (= (power_power_int (plus_plus_int X_2 Y_2) _let_1) (plus_plus_int (plus_plus_int (power_power_int X_2 _let_1) (power_power_int Y_2 _let_1)) (times_times_int (times_times_int (number_number_of_int _let_0) X_2) Y_2))))) ) 0.78/1.02 ( one_one_int, one_one_int ) 0.78/1.02 ( s, one_one_int ) 0.78/1.02 ( skv_5, skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((M_8 $$unsorted) (N_34 $$unsorted) (A_34 $$unsorted)) (or (not (ord_less_int one_one_int A_34)) (not (ord_less_eq_int (power_power_int A_34 M_8) (power_power_int A_34 N_34))) (ord_less_eq_nat M_8 N_34)) ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_36 $$unsorted) (A_36 $$unsorted)) (let ((_let_0 (power_power_nat A_36 N_36))) (or (not (ord_less_nat one_one_nat A_36)) (ord_less_nat _let_0 (times_times_nat A_36 _let_0)))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_nat ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (ord_less_eq_real (plus_plus_real (power_power_real X_2 _let_0) (power_power_real Y_2 _let_0)) zero_zero_real) (and (= zero_zero_real X_2) (= zero_zero_real Y_2)))) ) 0.78/1.02 ( one_one_real, one_one_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_9 $$unsorted) (Y_7 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (is_int Y_7)) (not (is_int X_9)) (not (= (power_power_int X_9 _let_0) (power_power_int Y_7 _let_0))) (not (ord_less_eq_int zero_zero_int X_9)) (not (ord_less_eq_int zero_zero_int Y_7)) (= X_9 Y_7))) ) 0.78/1.02 ( one_one_int, m ) 0.78/1.02 ( pls, s1 ) 0.78/1.02 ( min, min ) 0.78/1.02 ( min, zero_zero_int ) 0.78/1.02 ( zero_zero_int, min ) 0.78/1.02 ( s, s ) 0.78/1.02 ( s, (undefined_int int) ) 0.78/1.02 ( (undefined_int int), s ) 0.78/1.02 ( m, one_one_int ) 0.78/1.02 ( m, m ) 0.78/1.02 ( s1, pls ) 0.78/1.02 ( s1, s1 ) 0.78/1.02 ( t, t ) 0.78/1.02 ( t, skv_1 ) 0.78/1.02 ( skv_1, t ) 0.78/1.02 ( skv_2, skv_2 ) 0.78/1.02 ( skv_2, skv_3 ) 0.78/1.02 ( skv_3, skv_2 ) 0.78/1.02 ( skv_4, skv_4 ) 0.78/1.02 ( skv_4, skv_6 ) 0.78/1.02 ( skv_5, skv_5 ) 0.78/1.02 ( skv_6, skv_4 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (power_power_nat (plus_plus_nat X_2 Y_2) _let_0) (plus_plus_nat (plus_plus_nat (power_power_nat X_2 _let_0) (power_power_nat Y_2 _let_0)) (times_times_nat (times_times_nat _let_0 X_2) Y_2)))) ) 0.78/1.02 ( one_one_nat, one_one_nat ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (is_int Y_2)) (not (is_int X_2)) (= (and (= zero_zero_int Y_2) (= zero_zero_int X_2)) (= zero_zero_int (plus_plus_int (power_power_int X_2 _let_0) (power_power_int Y_2 _let_0)))))) ) 0.78/1.02 ( one_one_int, one_one_int ) 0.78/1.02 ( s, one_one_int ) 0.78/1.02 ( skv_5, skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((P $$unsorted)) (let ((_let_0 (bit1 pls))) (let ((_let_1 (bit0 _let_0))) (or (not (is_int P)) (not (zprime P)) (= (number_number_of_int _let_1) P) (= (number_number_of_int (bit1 _let_0)) P) (ord_less_eq_int (number_number_of_int (bit1 _let_1)) P)))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( min ) 0.78/1.02 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_25 $$unsorted) (A_24 $$unsorted)) (or (not (ord_less_eq_int zero_zero_int A_24)) (ord_less_eq_int zero_zero_int (power_power_int A_24 N_25))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((V_14 $$unsorted) (V_13 $$unsorted)) (or (not (ord_less_eq_int pls V_13)) (not (ord_less_eq_int pls V_14)) (= (plus_plus_real (number267125858f_real V_13) (number267125858f_real V_14)) (number267125858f_real (plus_plus_int V_13 V_14)))) ) 0.78/1.02 ( one_one_int, one_one_int ) 0.78/1.02 ( one_one_int, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.02 ( one_one_int, (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( (bit1 pls), (bit1 pls) ) 0.78/1.02 ( (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((L $$unsorted)) (= (minus_minus_int min (bit0 L)) (bit1 (minus_minus_int min L))) ) 0.78/1.02 ( pls ) 0.78/1.02 ( (bit1 pls) ) 0.78/1.02 ( (bit0 (bit1 pls)) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N $$unsorted) (M $$unsorted)) (or (not (is_int M)) (not (is_int N)) (not (ord_less_eq_int zero_zero_int M)) (not (ord_less_eq_int zero_zero_int N)) (not (dvd_dvd_int M N)) (not (dvd_dvd_int N M)) (= N M)) ) 0.78/1.02 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (minus_minus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.78/1.02 ( (minus_minus_int (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_1 $$unsorted) (Ma $$unsorted)) (or (not (is_int Ma)) (not (is_int N_1)) (not (ord_less_int zero_zero_int Ma)) (= (= one_one_int (times_times_int Ma N_1)) (and (= one_one_int Ma) (= one_one_int N_1)))) ) 0.78/1.02 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.78/1.02 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((V_9 $$unsorted) (W_11 $$unsorted)) (= (number267125858f_real (times_times_int V_9 W_11)) (times_times_real (number267125858f_real V_9) (number267125858f_real W_11))) ) 0.78/1.02 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.78/1.02 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), t ) 0.78/1.02 ( (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), skv_1 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_35 $$unsorted) (A_35 $$unsorted)) (or (not (ord_less_int one_one_int A_35)) (ord_less_int one_one_int (times_times_int A_35 (power_power_int A_35 N_35)))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_9 $$unsorted) (Y_7 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (or (not (= (power_power_real Y_7 _let_0) (power_power_real X_9 _let_0))) (not (ord_less_eq_real zero_zero_real X_9)) (not (ord_less_eq_real zero_zero_real Y_7)) (= X_9 Y_7))) ) 0.78/1.02 ( one_one_real, one_one_real ) 0.78/1.02 ( one_one_real, zero_zero_real ) 0.78/1.02 ( zero_zero_real, one_one_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_1 $$unsorted)) (or (not (is_int A_1)) (= (= zero_zero_int A_1) (= zero_zero_int (power_power_int A_1 (number_number_of_nat (bit0 (bit1 pls))))))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( min ) 0.78/1.02 ( zero_zero_int ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (or (not (ord_less_eq_int zero_zero_int X_1)) (not (ord_less_eq_int zero_zero_int Y_1)) (ord_less_eq_int zero_zero_int (plus_plus_int X_1 Y_1))) ) 0.78/1.02 ( one_one_int, one_one_int ) 0.78/1.02 ( one_one_int, (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) ) 0.78/1.02 ( one_one_int, (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_25 $$unsorted) (A_24 $$unsorted)) (or (not (ord_less_eq_nat zero_zero_nat A_24)) (ord_less_eq_nat zero_zero_nat (power_power_nat A_24 N_25))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_nat ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((BOUND_VARIABLE_9310 $$unsorted) (BOUND_VARIABLE_9311 $$unsorted)) (or (ord_less_int BOUND_VARIABLE_9311 pls) (= (times_times_nat (number_number_of_nat BOUND_VARIABLE_9311) (number_number_of_nat BOUND_VARIABLE_9310)) (number_number_of_nat (times_times_int BOUND_VARIABLE_9311 BOUND_VARIABLE_9310)))) ) 0.78/1.02 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.78/1.02 ( t, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ( skv_1, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((W_5 $$unsorted)) (= (number267125858f_real (bit0 W_5)) (times_times_real (plus_plus_real one_one_real one_one_real) (number267125858f_real W_5))) ) 0.78/1.02 ( pls ) 0.78/1.02 ( (bit1 pls) ) 0.78/1.02 ( (bit0 (bit1 pls)) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((BOUND_VARIABLE_9337 $$unsorted)) (let ((_let_0 (number_number_of_nat BOUND_VARIABLE_9337))) (or (= zero_zero_nat _let_0) (= zero_zero_nat (power_power_nat zero_zero_nat _let_0)))) ) 0.78/1.02 ( (bit1 pls) ) 0.78/1.02 ( (bit0 (bit1 pls)) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((BOUND_VARIABLE_9345 $$unsorted)) (let ((_let_0 (number_number_of_nat BOUND_VARIABLE_9345))) (or (not (= zero_zero_nat _let_0)) (= one_one_nat (power_power_nat zero_zero_nat _let_0)))) ) 0.78/1.02 ( pls ) 0.78/1.02 ( (bit1 pls) ) 0.78/1.02 ( (bit0 (bit1 pls)) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((BOUND_VARIABLE_9378 $$unsorted) (BOUND_VARIABLE_9379 $$unsorted)) (or (not (ord_less_nat zero_zero_nat BOUND_VARIABLE_9379)) (dvd_dvd_real BOUND_VARIABLE_9378 (power_power_real BOUND_VARIABLE_9378 BOUND_VARIABLE_9379))) ) 0.78/1.02 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( zero_zero_real, zero_zero_nat ) 0.78/1.02 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((BOUND_VARIABLE_9370 $$unsorted)) (dvd_dvd_real one_one_real (power_power_real one_one_real BOUND_VARIABLE_9370)) ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_39 $$unsorted)) (or (not (is_int A_39)) (= A_39 (times_times_int (number_number_of_int (bit1 pls)) A_39))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( min ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((B_1 $$unsorted) (M $$unsorted) (A $$unsorted)) (or (not (ord_less_int zero_zero_int A)) (not (ord_less_int A M)) (not (ord_less_int zero_zero_int B_1)) (not (ord_less_int B_1 A)) (not (zcong A B_1 M))) ) 0.78/1.02 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int skv_4 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s1 ) 0.78/1.02 ( (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s1 ) 0.78/1.02 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s1 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_17 $$unsorted) (A_17 $$unsorted)) (let ((_let_0 (power_power_real A_17 N_17))) (or (not (ord_less_real zero_zero_real A_17)) (not (ord_less_real A_17 one_one_real)) (ord_less_real (times_times_real A_17 _let_0) _let_0))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_49 $$unsorted) (N_37 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (power_power_nat A_49 (times_times_nat _let_0 N_37)) (power_power_nat (power_power_nat A_49 N_37) _let_0))) ) 0.78/1.02 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((Z_3 $$unsorted)) (= (times_times_nat Z_3 (number_number_of_nat (bit0 (bit1 pls)))) (plus_plus_nat Z_3 Z_3)) ) 0.78/1.02 ( one_one_nat ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((B_1 $$unsorted) (Q $$unsorted) (R_1 $$unsorted) (B $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (let ((_let_0 (times_times_int B Q_1))) (let ((_let_1 (plus_plus_int _let_0 R_2))) (or (not (= _let_1 (plus_plus_int (times_times_int B_1 Q) R_1))) (not (ord_less_int _let_1 zero_zero_int)) (not (ord_less_int R_1 B_1)) (not (ord_less_eq_int zero_zero_int R_2)) (not (ord_less_int zero_zero_int B)) (not (ord_less_eq_int B B_1)) (ord_less_eq_int Q_1 Q)))) ) 0.78/1.02 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int, (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_23 $$unsorted) (A_22 $$unsorted)) (or (not (ord_less_int zero_zero_int A_22)) (ord_less_int zero_zero_int (power_power_int A_22 N_23))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_1 $$unsorted)) (let ((_let_0 (bit0 (bit1 pls)))) (let ((_let_1 (number_number_of_nat _let_0))) (= (power_power_int (power_power_int X_1 _let_1) _let_1) (power_power_int X_1 (number_number_of_nat (bit0 _let_0)))))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( zero_zero_int ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_21 $$unsorted)) (= (power_power_nat X_21 (number_number_of_nat (bit0 (bit1 pls)))) (times_times_nat X_21 X_21)) ) 0.78/1.02 ( zero_zero_nat ) 0.78/1.02 ( one_one_nat ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_43 $$unsorted) (M_11 $$unsorted)) (= (plus_plus_int (times_times_int A_43 M_11) M_11) (times_times_int (plus_plus_int A_43 one_one_int) M_11)) ) 0.78/1.02 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), t ) 0.78/1.02 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), skv_1 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (or (not (is_int B_1_1)) (is_int (power_power_int B_1_1 B_2_1))) ) 0.78/1.02 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( zero_zero_int, zero_zero_nat ) 0.78/1.02 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( s, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( s1, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( skv_4, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((V_3 $$unsorted) (V_4 $$unsorted)) (= (or (ord_less_eq_int V_3 V_4) (ord_less_eq_int V_3 pls)) (ord_less_eq_nat (number_number_of_nat V_3) (number_number_of_nat V_4))) ) 0.78/1.02 ( one_one_int, t ) 0.78/1.02 ( pls, min ) 0.78/1.02 ( min, pls ) 0.78/1.02 ( min, min ) 0.78/1.02 ( zero_zero_int, one_one_int ) 0.78/1.02 ( zero_zero_int, zero_zero_int ) 0.78/1.02 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.02 ( zero_zero_int, s ) 0.78/1.02 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.02 ( zero_zero_int, skv_2 ) 0.78/1.02 ( zero_zero_int, skv_3 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((M_2 $$unsorted) (N_7 $$unsorted) (A_6 $$unsorted)) (or (not (ord_less_int one_one_int A_6)) (not (ord_less_int (power_power_int A_6 M_2) (power_power_int A_6 N_7))) (ord_less_nat M_2 N_7)) ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_4 $$unsorted) (A_2 $$unsorted)) (or (not (ord_less_int one_one_int A_2)) (not (ord_less_nat zero_zero_nat N_4)) (ord_less_int one_one_int (power_power_int A_2 N_4))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_1 $$unsorted)) (or (not (is_int A_1)) (= (= zero_zero_int (plus_plus_int A_1 A_1)) (= zero_zero_int A_1))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( min ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_35 $$unsorted) (A_35 $$unsorted)) (or (not (ord_less_real one_one_real A_35)) (ord_less_real one_one_real (times_times_real A_35 (power_power_real A_35 N_35)))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_1 $$unsorted) (W_1 $$unsorted)) (let ((_let_0 (number_number_of_nat W_1))) (or (not (is_int A_1)) (= (and (= zero_zero_int A_1) (not (= zero_zero_nat _let_0))) (= zero_zero_int (power_power_int A_1 _let_0))))) ) 0.78/1.02 ( one_one_int, (bit0 (bit1 pls)) ) 0.78/1.02 ( zero_zero_int, pls ) 0.78/1.02 ( zero_zero_int, (bit0 (bit1 pls)) ) 0.78/1.02 ( s, (bit0 (bit1 pls)) ) 0.78/1.02 ( s1, (bit0 (bit1 pls)) ) 0.78/1.02 ( skv_4, (bit0 (bit1 pls)) ) 0.78/1.02 ( skv_5, (bit0 (bit1 pls)) ) 0.78/1.02 ( skv_6, (bit0 (bit1 pls)) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_36 $$unsorted) (A_36 $$unsorted)) (let ((_let_0 (power_power_int A_36 N_36))) (or (not (ord_less_int one_one_int A_36)) (ord_less_int _let_0 (times_times_int A_36 _let_0)))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_4 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_4 $$unsorted) (A_2 $$unsorted)) (or (not (ord_less_nat one_one_nat A_2)) (not (ord_less_nat zero_zero_nat N_4)) (ord_less_nat one_one_nat (power_power_nat A_2 N_4))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_nat ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_31 $$unsorted) (N_30 $$unsorted) (B_8 $$unsorted)) (or (not (= (power_power_real A_31 N_30) (power_power_real B_8 N_30))) (not (ord_less_eq_real zero_zero_real A_31)) (not (ord_less_eq_real zero_zero_real B_8)) (not (ord_less_nat zero_zero_nat N_30)) (= A_31 B_8)) ) 0.78/1.02 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.02 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.02 ( zero_zero_real, zero_zero_nat, zero_zero_real ) 0.78/1.02 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (not (= (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) (plus_plus_int (power_power_int X _let_0) (power_power_int Y _let_0))))) ) 0.78/1.02 ( one_one_int, one_one_int ) 0.78/1.02 ( s, one_one_int ) 0.78/1.02 ( skv_5, skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_1 $$unsorted)) (= (not (= zero_zero_real A_1)) (ord_less_real zero_zero_real (power_power_real A_1 (number_number_of_nat (bit0 (bit1 pls)))))) ) 0.78/1.02 ( one_one_real ) 0.78/1.02 ( zero_zero_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_28 $$unsorted) (A_30 $$unsorted)) (or (= zero_zero_real A_30) (not (= zero_zero_real (power_power_real A_30 N_28)))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((Y_1 $$unsorted) (X_1 $$unsorted) (P $$unsorted)) (or (zcong X_1 zero_zero_int P) (not (zcong (power_power_int Y_1 (number_number_of_nat (bit0 (bit1 pls)))) X_1 P)) (not (dvd_dvd_int P Y_1))) ) 0.78/1.02 ( s, (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ( s, (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ( s1, (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ( skv_4, (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_49 $$unsorted) (N_37 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (power_power_int A_49 (times_times_nat _let_0 N_37)) (power_power_int (power_power_int A_49 N_37) _let_0))) ) 0.78/1.02 ( zero_zero_int, zero_zero_nat ) 0.78/1.02 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (or (not (is_int Y_2)) (not (is_int X_2)) (= (= (number_number_of_int Y_2) (number_number_of_int X_2)) (= X_2 Y_2))) ) 0.78/1.02 ( one_one_int, m ) 0.78/1.02 ( pls, s1 ) 0.78/1.02 ( min, min ) 0.78/1.02 ( min, zero_zero_int ) 0.78/1.02 ( zero_zero_int, min ) 0.78/1.02 ( s, s ) 0.78/1.02 ( s, (undefined_int int) ) 0.78/1.02 ( (undefined_int int), s ) 0.78/1.02 ( m, one_one_int ) 0.78/1.02 ( m, m ) 0.78/1.02 ( s1, pls ) 0.78/1.02 ( s1, s1 ) 0.78/1.02 ( t, t ) 0.78/1.02 ( t, skv_1 ) 0.78/1.02 ( skv_1, t ) 0.78/1.02 ( skv_2, skv_2 ) 0.78/1.02 ( skv_2, skv_3 ) 0.78/1.02 ( skv_3, skv_2 ) 0.78/1.02 ( skv_4, skv_4 ) 0.78/1.02 ( skv_4, skv_6 ) 0.78/1.02 ( skv_5, skv_5 ) 0.78/1.02 ( skv_6, skv_4 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_1 $$unsorted) (N_1 $$unsorted)) (or (not (is_int A_1)) (= (= zero_zero_int (power_power_int A_1 N_1)) (and (= zero_zero_int A_1) (not (= zero_zero_nat N_1))))) ) 0.78/1.02 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( zero_zero_int, zero_zero_nat ) 0.78/1.02 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( s, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( s1, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( skv_4, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((Ma $$unsorted) (N_1 $$unsorted) (A_1 $$unsorted)) (or (not (ord_less_real one_one_real A_1)) (= (= Ma N_1) (= (power_power_real A_1 Ma) (power_power_real A_1 N_1)))) ) 0.78/1.02 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A $$unsorted) (B_1 $$unsorted)) (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (= (times_times_int (plus_plus_int A B_1) (minus_minus_int A B_1)) (minus_minus_int (power_power_int A _let_0) (power_power_int B_1 _let_0)))) ) 0.78/1.02 ( one_one_int, one_one_int ) 0.78/1.02 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m), one_one_int ) 0.78/1.02 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.78/1.02 ( (power_power_int skv_5 (number_number_of_nat (bit0 (bit1 pls)))), (power_power_int skv_6 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((B_1 $$unsorted) (M $$unsorted) (A $$unsorted)) (or (not (is_int A)) (not (is_int B_1)) (not (ord_less_eq_int zero_zero_int A)) (not (ord_less_int A M)) (not (ord_less_eq_int zero_zero_int B_1)) (not (ord_less_int B_1 M)) (not (zcong A B_1 M)) (= B_1 A)) ) 0.78/1.02 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int skv_4 (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( s, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s1 ) 0.78/1.02 ( (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))) ) 0.78/1.02 ( skv_2, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s1 ) 0.78/1.02 ( skv_3, (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int), s1 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((B_1_1 $$unsorted)) (or (not (is_int B_1_1)) (is_int (bit1 B_1_1))) ) 0.78/1.02 ( pls ) 0.78/1.02 ( (bit1 pls) ) 0.78/1.02 ( min ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((B $$unsorted) (Q_1 $$unsorted) (R_2 $$unsorted)) (or (not (ord_less_int (plus_plus_int (times_times_int B Q_1) R_2) zero_zero_int)) (not (ord_less_eq_int zero_zero_int R_2)) (not (ord_less_int zero_zero_int B)) (ord_less_eq_int Q_1 zero_zero_int)) ) 0.78/1.02 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((BOUND_VARIABLE_9748 $$unsorted) (BOUND_VARIABLE_9749 $$unsorted)) (or (not (zcong BOUND_VARIABLE_9748 zero_zero_int BOUND_VARIABLE_9749)) (= zero_zero_int (legendre BOUND_VARIABLE_9748 BOUND_VARIABLE_9749))) ) 0.78/1.02 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((BOUND_VARIABLE_9757 $$unsorted) (BOUND_VARIABLE_9758 $$unsorted)) (let ((_let_0 (quadRes BOUND_VARIABLE_9758 BOUND_VARIABLE_9757))) (let ((_let_1 (legendre BOUND_VARIABLE_9757 BOUND_VARIABLE_9758))) (or (zcong BOUND_VARIABLE_9757 zero_zero_int BOUND_VARIABLE_9758) (and (or _let_0 (= (number_number_of_int min) _let_1)) (or (not _let_0) (= one_one_int _let_1)))))) ) 0.78/1.02 ( (number_number_of_int min), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_1 $$unsorted)) (= (= zero_zero_real (power_power_real A_1 (number_number_of_nat (bit0 (bit1 pls))))) (= zero_zero_real A_1)) ) 0.78/1.02 ( one_one_real ) 0.78/1.02 ( zero_zero_real ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((X_1 $$unsorted) (P $$unsorted)) (or (not (ord_less_int (number_number_of_int (bit0 (bit1 pls))) P)) (not (zcong X_1 (number_number_of_int min) P)) (not (zcong X_1 one_one_int P))) ) 0.78/1.02 ( (power_power_int s (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ( (power_power_int s1 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ( (power_power_int skv_4 (number_number_of_nat (bit0 (bit1 pls)))), (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((K $$unsorted)) (or (not (is_int K)) (= K (plus_plus_int pls K))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( min ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((Z $$unsorted)) (or (not (ord_less_eq_int zero_zero_int Z)) (ord_less_int zero_zero_int (plus_plus_int one_one_int Z))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( zero_zero_int ) 0.78/1.02 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.02 ( s ) 0.78/1.02 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((N_10 $$unsorted) (A_8 $$unsorted)) (or (not (ord_less_eq_nat one_one_nat A_8)) (ord_less_eq_nat one_one_nat (power_power_nat A_8 N_10))) ) 0.78/1.02 ( zero_zero_nat, zero_zero_nat ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.78/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((A_1 $$unsorted) (W_1 $$unsorted)) (let ((_let_0 (number_number_of_nat W_1))) (= (= zero_zero_nat (power_power_nat A_1 _let_0)) (and (not (= zero_zero_nat _let_0)) (= zero_zero_nat A_1)))) ) 0.78/1.02 ( zero_zero_nat, pls ) 0.78/1.02 ( zero_zero_nat, (bit0 (bit1 pls)) ) 0.78/1.02 ( one_one_nat, (bit0 (bit1 pls)) ) 0.78/1.02 ) 0.78/1.02 (instantiation (forall ((Y $$unsorted)) (let ((_let_0 (number_number_of_int (bit0 (bit0 (bit1 pls)))))) (let ((_let_1 (times_times_int _let_0 m))) (let ((_let_2 (plus_plus_int _let_1 one_one_int))) (or (not (is_int Y)) (not (ord_less_eq_int zero_zero_int Y)) (not (ord_less_int Y _let_2)) (not (zcong s1 Y _let_2)) (= Y skv_3))))) ) 0.78/1.02 ( one_one_int ) 0.78/1.02 ( pls ) 0.78/1.02 ( min ) 0.78/1.02 ( zero_zero_int ) 0.78/1.02 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.78/1.02 ( s ) 0.78/1.02 ( (undefined_int int) ) 0.78/1.02 ( m ) 0.78/1.02 ( s1 ) 0.78/1.02 ( t ) 0.78/1.02 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.78/1.02 ( skv_1 ) 0.78/1.02 ( skv_2 ) 0.78/1.02 ( skv_3 ) 0.78/1.02 ( skv_4 ) 0.78/1.02 ( skv_5 ) 0.78/1.02 ( skv_6 ) 0.78/1.02 ) 0.78/1.02 % SZS output end Proof for theBenchmark 0.78/1.03 EOF