0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : do_CVC4 %s 0.02/0.24 % Computer : n185.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 05:24:39 CDT 2018 0.02/0.24 % CPUTime : 0.06/0.36 %----Proving without arithmetic mode 0.06/0.39 ------- cvc4-fof casc j9 : /export/starexec/sandbox/benchmark/theBenchmark.p at ... 0.06/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-quant-cf --full-saturate-quant at 20... 0.72/0.97 % SZS status Theorem for theBenchmark 0.72/0.97 % SZS output start Proof for theBenchmark 0.72/0.97 (skolem (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (let ((_let_1 (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int))) (forall ((X $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 X))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X) _let_1))) (not (forall ((Y $$unsorted)) (or (not (is_int Y)) (not (hBOOL (hAPP_int_bool (zcong s1 Y) _let_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int Y) _let_1))) (not (hBOOL (hAPP_int_bool _let_0 Y))) (= X Y)) )) (not (hBOOL (hAPP_int_bool (zcong s1 X) _let_1))) (not (is_int X))) ))) 0.72/0.97 ( skv_1 ) 0.72/0.97 ) 0.72/0.97 (skolem (let ((_let_0 (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int))) (forall ((S_1 $$unsorted)) (or (not (is_int S_1)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int S_1) _let_0))) (not (hBOOL (hAPP_int_bool (zcong s1 S_1) _let_0))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) S_1)))) )) 0.72/0.97 ( skv_2 ) 0.72/0.97 ) 0.72/0.97 (skolem (let ((_let_0 (bit0 (bit1 pls)))) (forall ((S1 $$unsorted)) (or (not (is_int S1)) (not (hBOOL (hAPP_int_bool (zcong (hAPP_nat_int (power_power_int S1) (number_number_of_nat _let_0)) (number_number_of_int min)) (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 _let_0))) m)) one_one_int))))) )) 0.72/0.97 ( skv_3 ) 0.72/0.97 ) 0.72/0.97 (skolem (let ((_let_0 (bit0 (bit1 pls)))) (forall ((T_1 $$unsorted)) (or (not (is_int T_1)) (not (= (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat _let_0))) one_one_int) (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 _let_0))) m)) one_one_int)) T_1)))) )) 0.72/0.97 ( skv_4 ) 0.72/0.97 ) 0.72/0.97 (skolem (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (is_int X)) (not (is_int Y)) (not (= (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X) _let_0)) (hAPP_nat_int (power_power_int Y) _let_0))))) )) 0.72/0.97 ( skv_5 skv_6 ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((A_69 $$unsorted)) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_eq_real zero_zero_real) (hAPP_nat_real (power_power_real A_69) (number_number_of_nat (bit0 (bit1 pls)))))) ) 0.72/0.97 ( zero_zero_real ) 0.72/0.97 ( one_one_real ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) (bit1 K))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int pls) K))) ) 0.72/0.97 ( pls ) 0.72/0.97 ( (bit1 pls) ) 0.72/0.97 ( one_one_int ) 0.72/0.97 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.72/0.97 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.72/0.97 ( min ) 0.72/0.97 ( (number_number_of_int pls) ) 0.72/0.97 ( s ) 0.72/0.97 ( skv_1 ) 0.72/0.97 ( skv_2 ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((N_1 $$unsorted)) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat N_1) N_1))) ) 0.72/0.97 ( zero_zero_nat ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K) min)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit1 K)) min))) ) 0.72/0.97 ( pls ) 0.72/0.97 ( (bit1 pls) ) 0.72/0.97 ( min ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((N_1 $$unsorted) (M $$unsorted)) (= M (hAPP_nat_nat (minus_minus_nat (hAPP_nat_nat (plus_plus_nat N_1) M)) N_1)) ) 0.72/0.97 ( one_one_nat, one_one_nat ) 0.72/0.97 ) 0.72/0.97 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_12 $$unsorted) (Y_9 $$unsorted)) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_eq_real zero_zero_real) (hAPP_real_real (plus_plus_real (hAPP_nat_real (power_power_real X_12) _let_0)) (hAPP_nat_real (power_power_real Y_9) _let_0)))) )) 0.72/0.97 ( one_one_real, one_one_real ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) pls)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit1 K)) pls))) ) 0.72/0.97 ( pls ) 0.72/0.97 ( (bit1 pls) ) 0.72/0.97 ( min ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) pls)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit1 K)) pls))) ) 0.72/0.97 ( pls ) 0.72/0.97 ( (bit1 pls) ) 0.72/0.97 ( one_one_int ) 0.72/0.97 ( min ) 0.72/0.97 ( s ) 0.72/0.97 ( t ) 0.72/0.97 ( skv_1 ) 0.72/0.97 ( skv_2 ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((N_1 $$unsorted)) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat N_1) zero_zero_nat))) ) 0.72/0.97 ( zero_zero_nat ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit1 K1)) (bit0 K2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K1) K2))) ) 0.72/0.97 ( min, pls ) 0.72/0.97 ) 0.72/0.97 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int min))) (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool _let_0 (bit1 K))) (hBOOL (hAPP_int_bool _let_0 K))) )) 0.72/0.97 ( pls ) 0.72/0.97 ( (bit1 pls) ) 0.72/0.97 ( min ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((A_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real (hAPP_real_real (plus_plus_real A_2) A_2)) zero_zero_real)) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real A_2) zero_zero_real))) ) 0.72/0.97 ( one_one_real ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((I_1 $$unsorted) (J_1 $$unsorted)) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat (hAPP_nat_nat (plus_plus_nat I_1) J_1)) I_1))) ) 0.72/0.97 ( one_one_nat, one_one_nat ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((W $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int W) W)) ) 0.72/0.97 ( zero_zero_int ) 0.72/0.97 ( one_one_int ) 0.72/0.97 ( min ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) L_1)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit1 K)) (bit0 L_1)))) ) 0.72/0.97 ( pls, pls ) 0.72/0.97 ( pls, one_one_int ) 0.72/0.97 ( pls, min ) 0.72/0.97 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( one_one_int, t ) 0.72/0.97 ( min, pls ) 0.72/0.97 ( min, min ) 0.72/0.97 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ) 0.72/0.97 (instantiation (forall ((A_2 $$unsorted) (B_2 $$unsorted) (Ma $$unsorted)) (= (hBOOL (hAPP_int_bool (zcong A_2 B_2) Ma)) (hBOOL (hAPP_int_bool (zcong B_2 A_2) Ma))) ) 0.72/0.97 ( (number_number_of_int min), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( (number_number_of_int min), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( (number_number_of_int min), (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( s, s1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( s1, s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( s1, skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( s1, skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.97 ( skv_1, s1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( skv_2, s1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((Y_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) (number_number_of_int Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit1 pls)) Y_2))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( (bit1 (bit1 pls)) ) 0.72/0.98 ( min ) 0.72/0.98 ( (bit0 (bit0 (bit1 pls))) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K1) K2)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit0 K1)) (bit1 K2)))) ) 0.72/0.98 ( pls, min ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((X_1 $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int X_1) (hAPP_nat_int (power_power_int X_1) (number_number_of_nat (bit0 (bit1 pls)))))) ) 0.72/0.98 ( zero_zero_int ) 0.72/0.98 ( one_one_int ) 0.72/0.98 ( min ) 0.72/0.98 ( s ) 0.72/0.98 ( s1 ) 0.72/0.98 ( skv_3 ) 0.72/0.98 ( skv_5 ) 0.72/0.98 ( skv_6 ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_69 $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (hAPP_nat_int (power_power_int A_69) (number_number_of_nat (bit0 (bit1 pls)))))) ) 0.72/0.98 ( zero_zero_int ) 0.72/0.98 ( one_one_int ) 0.72/0.98 ( s ) 0.72/0.98 ( s1 ) 0.72/0.98 ( skv_3 ) 0.72/0.98 ( skv_5 ) 0.72/0.98 ( skv_6 ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_11 $$unsorted) (Y_8 $$unsorted)) (not (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real (hAPP_real_real (plus_plus_real (hAPP_nat_real (power_power_real X_11) _let_0)) (hAPP_nat_real (power_power_real Y_8) _let_0))) zero_zero_real))) )) 0.72/0.98 ( one_one_real, one_one_real ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((Z_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (plus_plus_int (hAPP_int_int (plus_plus_int one_one_int) Z_1)) Z_1)) zero_zero_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int Z_1) zero_zero_int))) ) 0.72/0.98 ( one_one_int ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit0 K1)) (bit0 K2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K1) K2))) ) 0.72/0.98 ( pls, pls ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_79 $$unsorted)) (= A_79 (hAPP_real_real (plus_plus_real A_79) zero_zero_real)) ) 0.72/0.98 ( one_one_real ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (number_number_of_int K)) (number_number_of_int L_1))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) L_1))) ) 0.72/0.98 ( pls, pls ) 0.72/0.98 ( pls, (bit1 pls) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_57 $$unsorted)) (= one_one_real (hAPP_nat_real (power_power_real A_57) zero_zero_nat)) ) 0.72/0.98 ( zero_zero_real ) 0.72/0.98 ( one_one_real ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((N_1 $$unsorted) (M $$unsorted)) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat N_1) (hAPP_nat_nat (plus_plus_nat M) N_1))) ) 0.72/0.98 ( one_one_nat, one_one_nat ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit0 K)) (bit0 L_1))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) L_1))) ) 0.72/0.98 ( pls, pls ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int min) K)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int min) (bit0 K)))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( min ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((X_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int X_2) (bit1 pls))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (number_number_of_int X_2)) one_one_int))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( (bit1 (bit1 pls)) ) 0.72/0.98 ( min ) 0.72/0.98 ( (bit0 (bit0 (bit1 pls))) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((W_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit1 W_1)) zero_zero_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int W_1) zero_zero_int))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( min ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_eq_real (hAPP_real_real (plus_plus_real (hAPP_nat_real (power_power_real X_2) _let_0)) (hAPP_nat_real (power_power_real Y_2) _let_0))) zero_zero_real)) (and (= zero_zero_real X_2) (= zero_zero_real Y_2))) )) 0.72/0.98 ( one_one_real, one_one_real ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((W_1 $$unsorted) (Z_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int W_1) Z_1)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int W_1) (hAPP_int_int (minus_minus_int Z_1) one_one_int)))) ) 0.72/0.98 ( pls, pls ) 0.72/0.98 ( pls, one_one_int ) 0.72/0.98 ( pls, min ) 0.72/0.98 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( one_one_int, t ) 0.72/0.98 ( min, pls ) 0.72/0.98 ( min, min ) 0.72/0.98 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool dvd_dvd_nat K))) (forall ((K $$unsorted) (N $$unsorted)) (= (hBOOL (hAPP_nat_bool _let_0 N)) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (plus_plus_nat N) K)))) )) 0.72/0.98 ( one_one_nat, one_one_nat ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((X_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int X_2) pls)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (number_number_of_int X_2)) zero_zero_int))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( zero_zero_int ) 0.72/0.98 ( (bit1 (bit1 pls)) ) 0.72/0.98 ( min ) 0.72/0.98 ( (bit0 (bit0 (bit1 pls))) ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (number_number_of_int W_1))) (let ((_let_1 (number_number_of_int V_7))) (forall ((V_7 $$unsorted) (W_1 $$unsorted)) (= (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int _let_0) _let_1))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int _let_1) _let_0))) ))) 0.72/0.98 ( pls, pls ) 0.72/0.98 ( pls, (bit1 pls) ) 0.72/0.98 ( pls, (bit0 (bit1 pls)) ) 0.72/0.98 ( pls, (bit1 (bit1 pls)) ) 0.72/0.98 ( (bit1 pls), pls ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_79 $$unsorted)) (= A_79 (hAPP_nat_nat (plus_plus_nat A_79) zero_zero_nat)) ) 0.72/0.98 ( one_one_nat ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int min))) (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool _let_0 (bit1 K))) (hBOOL (hAPP_int_bool _let_0 K))) )) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( min ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (minus_minus_int K) L_1)) zero_zero_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) L_1))) ) 0.72/0.98 ( pls, pls ) 0.72/0.98 ( pls, one_one_int ) 0.72/0.98 ( pls, min ) 0.72/0.98 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( one_one_int, t ) 0.72/0.98 ( min, pls ) 0.72/0.98 ( min, min ) 0.72/0.98 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.72/0.98 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((B_2 $$unsorted) (A_2 $$unsorted)) (= (= zero_zero_nat A_2) (= B_2 (hAPP_nat_nat (plus_plus_nat B_2) A_2))) ) 0.72/0.98 ( one_one_nat, one_one_nat ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((X_2 $$unsorted) (A_109 $$unsorted)) (= (hBOOL (member_int X_2 A_109)) (hBOOL (hAPP_int_bool A_109 X_2))) ) 0.72/0.98 ( pls, (hAPP_i1948725293t_bool ord_less_int pls) ) 0.72/0.98 ( pls, (hAPP_i1948725293t_bool ord_less_eq_int min) ) 0.72/0.98 ( pls, (hAPP_i1948725293t_bool ord_less_int min) ) 0.72/0.98 ( one_one_int, (hAPP_i1948725293t_bool ord_less_int zero_zero_int) ) 0.72/0.98 ( one_one_int, (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/0.98 ( (number_number_of_int (bit1 (bit1 pls))), (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/0.98 ( (number_number_of_int (bit0 (bit1 pls))), zprime ) 0.72/0.98 ( (number_number_of_int (bit0 (bit1 pls))), (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/0.98 ( min, (hAPP_i1948725293t_bool ord_less_int pls) ) 0.72/0.98 ( min, (hAPP_i1948725293t_bool ord_less_eq_int pls) ) 0.72/0.98 ( min, (hAPP_i1948725293t_bool ord_less_eq_int min) ) 0.72/0.98 ( min, (hAPP_i1948725293t_bool ord_less_int min) ) 0.72/0.98 ( (number_number_of_int min), (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) ) 0.72/0.98 ( (number_number_of_int pls), (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int zero_zero_int) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), zprime ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int s) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong s1 s) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (zcong (hAPP_nat_int (power_power_int s) _let_0) (hAPP_nat_int (power_power_int s1) _let_0))) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int t) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int skv_1) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong s1 skv_1) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int skv_2) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong s1 skv_2) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.72/0.98 ( s, (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/0.98 ( (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)), (hAPP_i1948725293t_bool dvd_dvd_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) ) 0.72/0.98 ( t, (hAPP_i1948725293t_bool ord_less_int one_one_int) ) 0.72/0.98 ( t, (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) ) 0.72/0.98 ( (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t), twoSqu1154269391sum2sq ) 0.72/0.98 ( skv_1, (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/0.98 ( skv_2, (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (number_number_of_int K)) (number_number_of_int L_1))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K) L_1))) ) 0.72/0.98 ( pls, pls ) 0.72/0.98 ( pls, (bit1 pls) ) 0.72/0.98 ( pls, (bit0 (bit1 pls)) ) 0.72/0.98 ( pls, (bit1 (bit1 pls)) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (hBOOL (hAPP_int_bool (zcong A B) one_one_int)) ) 0.72/0.98 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.72/0.98 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/0.98 ( s1, s ) 0.72/0.98 ( s1, skv_1 ) 0.72/0.98 ( s1, skv_2 ) 0.72/0.98 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.72/0.98 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_36 $$unsorted) (B_33 $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int A_36) (hAPP_int_int (times_times_int B_33) A_36))) ) 0.72/0.98 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/0.98 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((X_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (number_number_of_int X_2)) one_one_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_2) (bit1 pls)))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( (bit1 (bit1 pls)) ) 0.72/0.98 ( min ) 0.72/0.98 ( (bit0 (bit0 (bit1 pls))) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((X_10 $$unsorted)) (= one_one_int (hAPP_nat_int (power_power_int X_10) zero_zero_nat)) ) 0.72/0.98 ( zero_zero_int ) 0.72/0.98 ( one_one_int ) 0.72/0.98 ( s ) 0.72/0.98 ( s1 ) 0.72/0.98 ( skv_3 ) 0.72/0.98 ( skv_5 ) 0.72/0.98 ( skv_6 ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_18 $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (hAPP_int_int (times_times_int A_18) A_18))) ) 0.72/0.98 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real (number267125858f_real X_2)) (number267125858f_real Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_2) Y_2))) ) 0.72/0.98 ( pls, pls ) 0.72/0.98 ( pls, one_one_int ) 0.72/0.98 ( pls, min ) 0.72/0.98 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( one_one_int, t ) 0.72/0.98 ( min, pls ) 0.72/0.98 ( min, min ) 0.72/0.98 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((A_2 $$unsorted) (B_2 $$unsorted)) (= (or (and (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_2) zero_zero_int)) (hBOOL (hAPP_int_bool _let_0 A_2))) (and (hBOOL (hAPP_int_bool _let_0 B_2)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A_2) zero_zero_int)))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_int_int (times_times_int A_2) B_2)) zero_zero_int))) )) 0.72/0.98 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit1 K)) (bit1 L_1))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) L_1))) ) 0.72/0.98 ( min, min ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((X_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real (number267125858f_real X_2)) one_one_real)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_2) (bit1 pls)))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( one_one_int ) 0.72/0.98 ( min ) 0.72/0.98 ( s ) 0.72/0.98 ( t ) 0.72/0.98 ( skv_1 ) 0.72/0.98 ( skv_2 ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat))) (forall ((Ma $$unsorted) (N $$unsorted)) (= (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (plus_plus_nat Ma) N))) (or (hBOOL (hAPP_nat_bool _let_0 Ma)) (hBOOL (hAPP_nat_bool _let_0 N)))) )) 0.72/0.98 ( one_one_nat, one_one_nat ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int min))) (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool _let_0 K)) (hBOOL (hAPP_int_bool _let_0 (bit0 K)))) )) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((Y_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) (number_number_of_int Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) Y_2))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( one_one_int ) 0.72/0.98 ( (bit1 (bit1 pls)) ) 0.72/0.98 ( min ) 0.72/0.98 ( (bit0 (bit0 (bit1 pls))) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((Y_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_eq_real zero_zero_real) (number267125858f_real Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int pls) Y_2))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( one_one_int ) 0.72/0.98 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.72/0.98 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.72/0.98 ( min ) 0.72/0.98 ( (number_number_of_int pls) ) 0.72/0.98 ( s ) 0.72/0.98 ( skv_1 ) 0.72/0.98 ( skv_2 ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (number_number_of_nat W_1))) (let ((_let_1 (number_number_of_nat V_7))) (forall ((V_7 $$unsorted) (W_1 $$unsorted)) (= (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat _let_0) _let_1))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat _let_1) _let_0))) ))) 0.72/0.98 ( (bit0 (bit1 pls)), pls ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((B_2 $$unsorted) (A_2 $$unsorted)) (= (= zero_zero_real A_2) (= B_2 (hAPP_real_real (plus_plus_real B_2) A_2))) ) 0.72/0.98 ( one_one_real, one_one_real ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((Z_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) Z_1)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) Z_1))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( one_one_int ) 0.72/0.98 ( min ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.98 ( t ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int pls))) (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool _let_0 (bit0 K))) (hBOOL (hAPP_int_bool _let_0 K))) )) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((W_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int W_1) zero_zero_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit0 W_1)) zero_zero_int))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((N_1 $$unsorted) (M $$unsorted)) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat N_1) (hAPP_nat_nat (plus_plus_nat N_1) M))) ) 0.72/0.98 ( one_one_nat, one_one_nat ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (is_bool (hAPP_nat_bool B_1_1 B_2_1)) ) 0.72/0.98 ( (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.98 ) 0.72/0.98 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_12 $$unsorted) (Y_9 $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X_12) _let_0)) (hAPP_nat_int (power_power_int Y_9) _let_0)))) )) 0.72/0.98 ( one_one_int, one_one_int ) 0.72/0.98 ( s, one_one_int ) 0.72/0.98 ( skv_5, skv_6 ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_2 $$unsorted)) (= (= zero_zero_real A_2) (= zero_zero_real (hAPP_nat_real (power_power_real A_2) (number_number_of_nat (bit0 (bit1 pls)))))) ) 0.72/0.98 ( zero_zero_real ) 0.72/0.98 ( one_one_real ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((Y_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) (number_number_of_int Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit1 pls)) Y_2))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ( (bit1 (bit1 pls)) ) 0.72/0.98 ( min ) 0.72/0.98 ( (bit0 (bit0 (bit1 pls))) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((Y_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit1 pls)) Y_2)) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real one_one_real) (number267125858f_real Y_2)))) ) 0.72/0.98 ( pls ) 0.72/0.98 ( (bit1 pls) ) 0.72/0.98 ( (bit0 (bit1 pls)) ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_70 $$unsorted)) (= A_70 (hAPP_nat_nat (power_power_nat A_70) one_one_nat)) ) 0.72/0.98 ( zero_zero_nat ) 0.72/0.98 ( one_one_nat ) 0.72/0.98 ) 0.72/0.98 (instantiation (forall ((A_53 $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int A_53) zero_zero_int)) ) 0.72/0.98 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int pls))) (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool _let_0 (bit0 K))) (hBOOL (hAPP_int_bool _let_0 K))) )) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((J_1 $$unsorted) (I_1 $$unsorted)) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat (hAPP_nat_nat (plus_plus_nat J_1) I_1)) I_1))) ) 0.72/0.99 ( one_one_nat, one_one_nat ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((Y_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_eq_real one_one_real) (number267125858f_real Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit1 pls)) Y_2))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit1 K1)) (bit1 K2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K1) K2))) ) 0.72/0.99 ( min, min ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((Y_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real zero_zero_real) (number267125858f_real Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) Y_2))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( min ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((X_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_eq_real (number267125858f_real X_2)) zero_zero_real)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int X_2) pls))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( zero_zero_int ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( min ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((X_2 $$unsorted) (P_3 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int P_3) X_2)) (hBOOL (hAPP_int_bool (zcong X_2 zero_zero_int) P_3))) ) 0.72/0.99 ( (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int pls))) (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool _let_0 K)) (hBOOL (hAPP_int_bool _let_0 (bit1 K)))) )) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( min ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_68 $$unsorted)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_nat_int (power_power_int A_68) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_int))) ) 0.72/0.99 ( zero_zero_int ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( s ) 0.72/0.99 ( s1 ) 0.72/0.99 ( skv_3 ) 0.72/0.99 ( skv_5 ) 0.72/0.99 ( skv_6 ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((N $$unsorted) (Ma $$unsorted)) (= (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) (hAPP_nat_nat (minus_minus_nat N) Ma))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat Ma) N))) ) 0.72/0.99 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_52 $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int A_52) A_52)) ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_68 $$unsorted)) (not (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real (hAPP_nat_real (power_power_real A_68) (number_number_of_nat (bit0 (bit1 pls))))) zero_zero_real))) ) 0.72/0.99 ( zero_zero_real ) 0.72/0.99 ( one_one_real ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((W_1 $$unsorted) (Z_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int W_1) (hAPP_int_int (plus_plus_int Z_1) one_one_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int W_1) Z_1))) ) 0.72/0.99 ( pls, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/0.99 ( zero_zero_int, one_one_int ) 0.72/0.99 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.72/0.99 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.72/0.99 ( zero_zero_int, min ) 0.72/0.99 ( zero_zero_int, (number_number_of_int pls) ) 0.72/0.99 ( zero_zero_int, s ) 0.72/0.99 ( zero_zero_int, skv_1 ) 0.72/0.99 ( zero_zero_int, skv_2 ) 0.72/0.99 ( one_one_int, t ) 0.72/0.99 ( min, pls ) 0.72/0.99 ( min, min ) 0.72/0.99 ( s, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/0.99 ( t, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/0.99 ( skv_1, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/0.99 ( skv_2, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((Y_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int pls) Y_2))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( (bit1 (bit1 pls)) ) 0.72/0.99 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.72/0.99 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.72/0.99 ( min ) 0.72/0.99 ( (number_number_of_int pls) ) 0.72/0.99 ( (bit0 (bit0 (bit1 pls))) ) 0.72/0.99 ( s ) 0.72/0.99 ( skv_1 ) 0.72/0.99 ( skv_2 ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((B_1_1 $$unsorted)) (is_int (twoSqu1241645765sum2sq B_1_1)) ) 0.72/0.99 ( (product_Pair_int_int s one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit0 K)) min)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K) min))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( zero_zero_int ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( min ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit0 K)) (bit1 L_1))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K) L_1))) ) 0.72/0.99 ( pls, min ) 0.72/0.99 ( zero_zero_int, one_one_int ) 0.72/0.99 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.72/0.99 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.72/0.99 ( zero_zero_int, min ) 0.72/0.99 ( zero_zero_int, (number_number_of_int pls) ) 0.72/0.99 ( zero_zero_int, s ) 0.72/0.99 ( zero_zero_int, skv_1 ) 0.72/0.99 ( zero_zero_int, skv_2 ) 0.72/0.99 ( one_one_int, t ) 0.72/0.99 ( min, pls ) 0.72/0.99 ( min, min ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_57 $$unsorted)) (= one_one_nat (hAPP_nat_nat (power_power_nat A_57) zero_zero_nat)) ) 0.72/0.99 ( zero_zero_nat ) 0.72/0.99 ( one_one_nat ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((W_1 $$unsorted) (Z_1 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int W_1) Z_1)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_int_int (plus_plus_int W_1) one_one_int)) Z_1))) ) 0.72/0.99 ( pls, pls ) 0.72/0.99 ( pls, one_one_int ) 0.72/0.99 ( pls, min ) 0.72/0.99 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( one_one_int, t ) 0.72/0.99 ( min, pls ) 0.72/0.99 ( min, min ) 0.72/0.99 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (= M (hAPP_nat_nat (minus_minus_nat (hAPP_nat_nat (plus_plus_nat M) N_1)) N_1)) ) 0.72/0.99 ( one_one_nat, one_one_nat ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit0 K)) pls)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) pls))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((A_2 $$unsorted) (B_2 $$unsorted)) (= (or (and (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A_2) zero_zero_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_2) zero_zero_int))) (and (hBOOL (hAPP_int_bool _let_0 B_2)) (hBOOL (hAPP_int_bool _let_0 A_2)))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int A_2) B_2)))) )) 0.72/0.99 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_5 $$unsorted)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (times_times_int A_5) A_5)) zero_zero_int))) ) 0.72/0.99 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((Z $$unsorted) (W $$unsorted)) (or (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int W) Z)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int Z) W))) ) 0.72/0.99 ( pls, min ) 0.72/0.99 ( zero_zero_int, one_one_int ) 0.72/0.99 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.72/0.99 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.72/0.99 ( zero_zero_int, min ) 0.72/0.99 ( zero_zero_int, (number_number_of_int pls) ) 0.72/0.99 ( zero_zero_int, s ) 0.72/0.99 ( zero_zero_int, skv_1 ) 0.72/0.99 ( zero_zero_int, skv_2 ) 0.72/0.99 ( one_one_int, zero_zero_int ) 0.72/0.99 ( one_one_int, t ) 0.72/0.99 ( (number_number_of_int (bit1 (bit1 pls))), zero_zero_int ) 0.72/0.99 ( (number_number_of_int (bit0 (bit1 pls))), zero_zero_int ) 0.72/0.99 ( min, pls ) 0.72/0.99 ( min, zero_zero_int ) 0.72/0.99 ( min, min ) 0.72/0.99 ( (number_number_of_int pls), zero_zero_int ) 0.72/0.99 ( s, zero_zero_int ) 0.72/0.99 ( t, one_one_int ) 0.72/0.99 ( skv_1, zero_zero_int ) 0.72/0.99 ( skv_2, zero_zero_int ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((X_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_2) pls)) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real (number267125858f_real X_2)) zero_zero_real))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( min ) 0.72/0.99 ( s ) 0.72/0.99 ( t ) 0.72/0.99 ( skv_1 ) 0.72/0.99 ( skv_2 ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((V_7 $$unsorted)) (= (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) (number_number_of_nat V_7))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) V_7))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( min ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat))) (let ((_let_1 (number_number_of_nat W_1))) (forall ((X_2 $$unsorted) (W_1 $$unsorted)) (= (or (= zero_zero_nat _let_1) (hBOOL (hAPP_nat_bool _let_0 X_2))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (power_power_nat X_2) _let_1)))) ))) 0.72/0.99 ( zero_zero_nat, pls ) 0.72/0.99 ( zero_zero_nat, (bit0 (bit1 pls)) ) 0.72/0.99 ( one_one_nat, (bit0 (bit1 pls)) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit0 K)) min)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K) min))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_2 $$unsorted) (B_2 $$unsorted) (Ma $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int Ma) (hAPP_int_int (minus_minus_int A_2) B_2))) (hBOOL (hAPP_int_bool (zcong A_2 B_2) Ma))) ) 0.72/0.99 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( s1, s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( s1, skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( s1, skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_35 $$unsorted) (B_32 $$unsorted)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int A_35) (hAPP_int_int (times_times_int A_35) B_32))) ) 0.72/0.99 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (bit0 K)) pls)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int K) pls))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((K $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (bit1 K)) min)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int K) min))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( min ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((X_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int X_2) (bit1 pls))) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_eq_real (number267125858f_real X_2)) one_one_real))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( zero_zero_int ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( min ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (is_int (hAPP_nat_int B_1_1 B_2_1)) ) 0.72/0.99 ( (power_power_int s), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.99 ( (power_power_int zero_zero_int), zero_zero_nat ) 0.72/0.99 ( (power_power_int zero_zero_int), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.99 ( (power_power_int one_one_int), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.99 ( (power_power_int s1), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.99 ( (power_power_int skv_3), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.99 ( (power_power_int skv_5), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.99 ( (power_power_int skv_6), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_94 $$unsorted)) (= A_94 (hAPP_real_real (plus_plus_real A_94) (number267125858f_real pls))) ) 0.72/0.99 ( one_one_real ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_eq_real (number267125858f_real X_2)) (number267125858f_real Y_2))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int X_2) Y_2))) ) 0.72/0.99 ( zero_zero_int, one_one_int ) 0.72/0.99 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.72/0.99 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.72/0.99 ( zero_zero_int, min ) 0.72/0.99 ( zero_zero_int, (number_number_of_int pls) ) 0.72/0.99 ( zero_zero_int, s ) 0.72/0.99 ( zero_zero_int, skv_1 ) 0.72/0.99 ( zero_zero_int, skv_2 ) 0.72/0.99 ( one_one_int, t ) 0.72/0.99 ( min, pls ) 0.72/0.99 ( min, min ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_11 $$unsorted) (Y_8 $$unsorted)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X_11) _let_0)) (hAPP_nat_int (power_power_int Y_8) _let_0))) zero_zero_int))) )) 0.72/0.99 ( one_one_int, one_one_int ) 0.72/0.99 ( s, one_one_int ) 0.72/0.99 ( skv_5, skv_6 ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((V_7 $$unsorted)) (= (= zero_zero_nat (number_number_of_nat V_7)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int V_7) pls))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( zero_zero_int ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( min ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((Ma $$unsorted) (N $$unsorted)) (= (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat Ma) N)) (or (= Ma N) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat Ma) N)))) ) 0.72/0.99 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (plus_plus_int A_2) A_2)) zero_zero_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A_2) zero_zero_int))) ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/0.99 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/0.99 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((X_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (number_number_of_int X_2)) zero_zero_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_2) pls))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( (bit1 pls) ) 0.72/0.99 ( (bit0 (bit1 pls)) ) 0.72/0.99 ( (bit1 (bit1 pls)) ) 0.72/0.99 ( min ) 0.72/0.99 ( (bit0 (bit0 (bit1 pls))) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_81 $$unsorted)) (= zero_zero_int (hAPP_int_int (times_times_int A_81) zero_zero_int)) ) 0.72/0.99 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat I_1))) (forall ((M $$unsorted) (I_1 $$unsorted) (J_1 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool _let_0 J_1))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (plus_plus_nat J_1) M)))) )) 0.72/0.99 ( one_one_nat, zero_zero_nat, one_one_nat ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (power_power_int B_2))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (B_2 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) B_2))) (= (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat X_2) Y_2)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_nat_int _let_0 X_2)) (hAPP_nat_int _let_0 Y_2))))) )) 0.72/0.99 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.72/0.99 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((D_5 $$unsorted) (A $$unsorted) (B $$unsorted) (M $$unsorted)) (or (not (hBOOL (hAPP_int_bool (zcong A B) M))) (not (hBOOL (hAPP_int_bool (zcong B D_5) M))) (hBOOL (hAPP_int_bool (zcong A D_5) M))) ) 0.72/0.99 ( (number_number_of_int min), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ) 0.72/0.99 (instantiation (forall ((A_2 $$unsorted)) (or (not (is_int A_2)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) (hAPP_nat_int (power_power_int A_2) (number_number_of_nat (bit0 (bit1 pls)))))) (not (= zero_zero_int A_2)))) ) 0.72/0.99 ( pls ) 0.72/0.99 ( zero_zero_int ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( min ) 0.72/0.99 ( m ) 0.72/0.99 ( s ) 0.72/0.99 ( t ) 0.72/0.99 ( s1 ) 0.72/0.99 ( (undefined_int int) ) 0.72/0.99 ( skv_1 ) 0.72/0.99 ( skv_2 ) 0.72/0.99 ( skv_3 ) 0.72/0.99 ( skv_4 ) 0.72/0.99 ( skv_5 ) 0.72/0.99 ( skv_6 ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (bit1 pls))) (let ((_let_1 (bit0 _let_0))) (forall ((P_1 $$unsorted)) (or (not (is_int P_1)) (not (hBOOL (hAPP_int_bool zprime P_1))) (= P_1 (number_number_of_int _let_1)) (= P_1 (number_number_of_int (bit1 _let_0))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (number_number_of_int (bit1 _let_1))) P_1))) ))) 0.72/0.99 ( pls ) 0.72/0.99 ( one_one_int ) 0.72/0.99 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.72/0.99 ( min ) 0.72/0.99 ( m ) 0.72/0.99 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/0.99 ( s ) 0.72/0.99 ( t ) 0.72/0.99 ( s1 ) 0.72/0.99 ( (undefined_int int) ) 0.72/0.99 ( skv_1 ) 0.72/0.99 ( skv_2 ) 0.72/0.99 ( skv_3 ) 0.72/0.99 ( skv_4 ) 0.72/0.99 ( skv_5 ) 0.72/0.99 ( skv_6 ) 0.72/0.99 ) 0.72/0.99 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((B_48 $$unsorted) (Q_4 $$unsorted) (R_3 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int B_48) Q_4)) R_3)))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int R_3) B_48))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) B_48))) (hBOOL (hAPP_int_bool _let_0 Q_4))) )) 0.72/1.02 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((W $$unsorted) (Z $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int W) Z))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_int_int (plus_plus_int W) one_one_int)) Z))) ) 0.72/1.02 ( pls, pls ) 0.72/1.02 ( pls, one_one_int ) 0.72/1.02 ( pls, min ) 0.72/1.02 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( one_one_int, t ) 0.72/1.02 ( min, pls ) 0.72/1.02 ( min, min ) 0.72/1.02 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((X_2 $$unsorted) (P_2 $$unsorted)) (or (not (forall ((A_3 $$unsorted)) (or (not (is_int A_3)) (and (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) A_3)) (not (hBOOL (hAPP_int_bool P_2 (hAPP_int_int (minus_minus_int A_3) one_one_int))))) (hBOOL (hAPP_int_bool P_2 A_3))) )) (hBOOL (hAPP_int_bool P_2 X_2))) ) 0.72/1.02 ( pls, (hAPP_i1948725293t_bool ord_less_int pls) ) 0.72/1.02 ( pls, (hAPP_i1948725293t_bool ord_less_eq_int min) ) 0.72/1.02 ( pls, (hAPP_i1948725293t_bool ord_less_int min) ) 0.72/1.02 ( one_one_int, (hAPP_i1948725293t_bool ord_less_int zero_zero_int) ) 0.72/1.02 ( one_one_int, (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/1.02 ( (number_number_of_int (bit1 (bit1 pls))), (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/1.02 ( (number_number_of_int (bit0 (bit1 pls))), zprime ) 0.72/1.02 ( (number_number_of_int (bit0 (bit1 pls))), (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/1.02 ( min, (hAPP_i1948725293t_bool ord_less_int pls) ) 0.72/1.02 ( min, (hAPP_i1948725293t_bool ord_less_eq_int pls) ) 0.72/1.02 ( min, (hAPP_i1948725293t_bool ord_less_eq_int min) ) 0.72/1.02 ( min, (hAPP_i1948725293t_bool ord_less_int min) ) 0.72/1.02 ( (number_number_of_int min), (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) ) 0.72/1.02 ( (number_number_of_int pls), (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int zero_zero_int) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), zprime ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int s) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong s1 s) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (zcong (hAPP_nat_int (power_power_int s) _let_0) (hAPP_nat_int (power_power_int s1) _let_0))) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int t) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int skv_1) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong s1 skv_1) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_i1948725293t_bool ord_less_int skv_2) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong s1 skv_2) ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (zcong (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)) ) 0.72/1.02 ( s, (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/1.02 ( (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)), (hAPP_i1948725293t_bool dvd_dvd_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) ) 0.72/1.02 ( t, (hAPP_i1948725293t_bool ord_less_int one_one_int) ) 0.72/1.02 ( t, (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) ) 0.72/1.02 ( (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t), twoSqu1154269391sum2sq ) 0.72/1.02 ( skv_1, (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/1.02 ( skv_2, (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((Ma $$unsorted) (N $$unsorted)) (= (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat Ma) N)) (and (not (= Ma N)) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat Ma) N)))) ) 0.72/1.02 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.02 ) 0.72/1.02 (instantiation (let ((_let_0 (power_power_int B_2))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted) (B_2 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) B_2))) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_nat_int _let_0 X_2)) (hAPP_nat_int _let_0 Y_2))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat X_2) Y_2)))) )) 0.72/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.72/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((A_102 $$unsorted) (M_13 $$unsorted) (B_59 $$unsorted)) (= (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int A_102) M_13)) (hAPP_int_int (times_times_int B_59) M_13)) (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int A_102) B_59)) M_13)) ) 0.72/1.02 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), t, one_one_int ) 0.72/1.02 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), skv_4, one_one_int ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((V_13 $$unsorted) (W_12 $$unsorted)) (= (number267125858f_real (hAPP_int_int (times_times_int V_13) W_12)) (hAPP_real_real (times_times_real (number267125858f_real V_13)) (number267125858f_real W_12))) ) 0.72/1.02 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/1.02 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((A $$unsorted) (P_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool zprime P_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) A))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A) P_1))) (hBOOL (hAPP_int_bool (zcong (hAPP_int_int (times_times_int A) (inv P_1 A)) one_one_int) P_1))) ) 0.72/1.02 ( pls, pls ) 0.72/1.02 ( pls, one_one_int ) 0.72/1.02 ( pls, min ) 0.72/1.02 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( one_one_int, t ) 0.72/1.02 ( min, pls ) 0.72/1.02 ( min, min ) 0.72/1.02 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((Z_5 $$unsorted)) (= (hAPP_real_real (plus_plus_real Z_5) Z_5) (hAPP_real_real (times_times_real (number267125858f_real (bit0 (bit1 pls)))) Z_5)) ) 0.72/1.02 ( one_one_real ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((K $$unsorted)) (or (not (is_int K)) (= (= min K) (= min (bit1 K)))) ) 0.72/1.02 ( pls ) 0.72/1.02 ( (bit1 pls) ) 0.72/1.02 ( one_one_int ) 0.72/1.02 ( min ) 0.72/1.02 ( m ) 0.72/1.02 ( s ) 0.72/1.02 ( t ) 0.72/1.02 ( s1 ) 0.72/1.02 ( (undefined_int int) ) 0.72/1.02 ( skv_1 ) 0.72/1.02 ( skv_2 ) 0.72/1.02 ( skv_3 ) 0.72/1.02 ( skv_4 ) 0.72/1.02 ( skv_5 ) 0.72/1.02 ( skv_6 ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((Z $$unsorted) (W $$unsorted)) (= (hAPP_int_int (plus_plus_int Z) W) (hAPP_int_int (plus_plus_int W) Z)) ) 0.72/1.02 ( one_one_int, one_one_int ) 0.72/1.02 ( one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/1.02 ( one_one_int, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.02 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), one_one_int ) 0.72/1.02 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.72/1.02 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.02 ( (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((X_1 $$unsorted) (P_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (number_number_of_int (bit0 (bit1 pls)))) P_1))) (not (hBOOL (hAPP_int_bool (zcong X_1 (number_number_of_int min)) P_1))) (not (hBOOL (hAPP_int_bool (zcong X_1 one_one_int) P_1)))) ) 0.72/1.02 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((V_6 $$unsorted) (V $$unsorted)) (or (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int V) pls)) (= (number_number_of_nat (hAPP_int_int (times_times_int V) V_6)) (hAPP_nat_nat (times_times_nat (number_number_of_nat V)) (number_number_of_nat V_6)))) ) 0.72/1.02 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/1.02 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ) 0.72/1.02 (instantiation (let ((_let_0 (power_power_real A_65))) (forall ((A_65 $$unsorted) (M_5 $$unsorted) (N_16 $$unsorted)) (= (hAPP_nat_real _let_0 (hAPP_nat_nat (plus_plus_nat M_5) N_16)) (hAPP_real_real (times_times_real (hAPP_nat_real _let_0 M_5)) (hAPP_nat_real _let_0 N_16))) )) 0.72/1.02 ( zero_zero_real, one_one_nat, one_one_nat ) 0.72/1.02 ( one_one_real, one_one_nat, one_one_nat ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((V_21 $$unsorted)) (= (hAPP_real_real (plus_plus_real (number267125858f_real V_21)) one_one_real) (number267125858f_real (hAPP_int_int (plus_plus_int V_21) (bit1 pls)))) ) 0.72/1.02 ( (bit1 pls) ) 0.72/1.02 ( one_one_int ) 0.72/1.02 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/1.02 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.02 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.02 ) 0.72/1.02 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat one_one_nat))) (forall ((N_6 $$unsorted) (A_56 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool _let_0 A_56))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_6))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (power_power_nat A_56) N_6)))) )) 0.72/1.02 ( zero_zero_nat, zero_zero_nat ) 0.72/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.72/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((N_1 $$unsorted) (M $$unsorted)) (= zero_zero_nat (hAPP_nat_nat (minus_minus_nat N_1) (hAPP_nat_nat (plus_plus_nat N_1) M))) ) 0.72/1.02 ( one_one_nat, one_one_nat ) 0.72/1.02 ) 0.72/1.02 (instantiation (let ((_let_0 (hAPP_r1134773055l_bool ord_less_eq_real zero_zero_real))) (forall ((N_27 $$unsorted) (A_78 $$unsorted)) (or (not (hBOOL (hAPP_real_bool _let_0 A_78))) (hBOOL (hAPP_real_bool _let_0 (hAPP_nat_real (power_power_real A_78) N_27)))) )) 0.72/1.02 ( zero_zero_nat, zero_zero_real ) 0.72/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.72/1.02 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((W_6 $$unsorted)) (= (hAPP_real_real (times_times_real (hAPP_real_real (plus_plus_real one_one_real) one_one_real)) (number267125858f_real W_6)) (number267125858f_real (bit0 W_6))) ) 0.72/1.02 ( pls ) 0.72/1.02 ( (bit1 pls) ) 0.72/1.02 ( (bit0 (bit1 pls)) ) 0.72/1.02 ) 0.72/1.02 (instantiation (forall ((A_2 $$unsorted) (B_2 $$unsorted) (Ma $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) Ma))) (= (= (hAPP_int_int (div_mod_int A_2) Ma) (hAPP_int_int (div_mod_int B_2) Ma)) (hBOOL (hAPP_int_bool (zcong A_2 B_2) Ma)))) ) 0.72/1.02 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.02 ( s1, s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( s1, skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( s1, skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (number_number_of_nat W_1))) (forall ((A_2 $$unsorted) (W_1 $$unsorted)) (= (and (not (= zero_zero_nat _let_0)) (= zero_zero_nat A_2)) (= zero_zero_nat (hAPP_nat_nat (power_power_nat A_2) _let_0))) )) 0.72/1.03 ( zero_zero_nat, pls ) 0.72/1.03 ( zero_zero_nat, (bit0 (bit1 pls)) ) 0.72/1.03 ( one_one_nat, (bit0 (bit1 pls)) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (or (and (not (= M N_1)) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M) N_1)))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat M) N_1))) ) 0.72/1.03 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 X_1))) (hBOOL (hAPP_int_bool _let_0 (hAPP_nat_int (power_power_int X_1) N_1)))) )) 0.72/1.03 ( zero_zero_nat, zero_zero_int ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat))) (forall ((N_25 $$unsorted) (A_76 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool _let_0 A_76))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (power_power_nat A_76) N_25)))) )) 0.72/1.03 ( zero_zero_nat, zero_zero_nat ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((Z_4 $$unsorted)) (= (hAPP_real_real (times_times_real Z_4) (number267125858f_real (bit0 (bit1 pls)))) (hAPP_real_real (plus_plus_real Z_4) Z_4)) ) 0.72/1.03 ( one_one_real ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((X_2 $$unsorted)) (or (not (is_int X_2)) (= (hBOOL (hAPP_int_bool twoSqu1154269391sum2sq X_2)) (not (forall ((A_3 $$unsorted) (B_3 $$unsorted)) (or (not (= X_2 (twoSqu1241645765sum2sq (product_Pair_int_int A_3 B_3)))) (not (is_int B_3)) (not (is_int A_3))) )))) ) 0.72/1.03 ( pls ) 0.72/1.03 ( one_one_int ) 0.72/1.03 ( min ) 0.72/1.03 ( m ) 0.72/1.03 ( s ) 0.72/1.03 ( t ) 0.72/1.03 ( (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t) ) 0.72/1.03 ( s1 ) 0.72/1.03 ( (undefined_int int) ) 0.72/1.03 ( skv_1 ) 0.72/1.03 ( skv_2 ) 0.72/1.03 ( skv_3 ) 0.72/1.03 ( skv_4 ) 0.72/1.03 ( skv_5 ) 0.72/1.03 ( skv_6 ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) B_1)))) (forall ((B_1 $$unsorted) (Q_3 $$unsorted) (Y_1 $$unsorted)) (or (not (is_int Y_1)) (not (is_int B_1)) (and (not _let_0) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int B_1) Y_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int Y_1) zero_zero_int))))) (and _let_0 (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) Y_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int Y_1) B_1))))) (= zero_zero_int B_1) (= Y_1 (hAPP_int_int (div_mod_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int B_1) Q_3)) Y_1)) B_1))) )) 0.72/1.03 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((X_1 $$unsorted) (M $$unsorted) (Y_1 $$unsorted)) (or (not (= (hAPP_int_int (div_mod_int X_1) M) (hAPP_int_int (div_mod_int Y_1) M))) (hBOOL (hAPP_int_bool (zcong X_1 Y_1) M))) ) 0.72/1.03 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (number_number_of_int min) ) 0.72/1.03 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.03 ( s1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s ) 0.72/1.03 ( s1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1 ) 0.72/1.03 ( s1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2 ) 0.72/1.03 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (number_number_of_int min) ) 0.72/1.03 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (number_number_of_int min) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((I_1 $$unsorted) (J_1 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat I_1) J_1))) (not (forall ((K_2 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) K_2))) (not (= J_1 (hAPP_nat_nat (plus_plus_nat I_1) K_2)))) ))) ) 0.72/1.03 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((A_75 $$unsorted) (N_24 $$unsorted) (B_51 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_nat_int (power_power_int A_75) N_24)) (hAPP_nat_int (power_power_int B_51) N_24)))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) B_51))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A_75) B_51))) ) 0.72/1.03 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.72/1.03 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (and (= zero_zero_real X_2) (= zero_zero_real Y_2)) (= zero_zero_real (hAPP_real_real (plus_plus_real (hAPP_nat_real (power_power_real X_2) _let_0)) (hAPP_nat_real (power_power_real Y_2) _let_0)))) )) 0.72/1.03 ( one_one_real, one_one_real ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((X_2 $$unsorted) (N $$unsorted)) (= (= one_one_nat (hAPP_nat_nat (power_power_nat X_2) N)) (or (= zero_zero_nat N) (= one_one_nat X_2))) ) 0.72/1.03 ( zero_zero_nat, zero_zero_nat ) 0.72/1.03 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.03 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((B_19 $$unsorted) (A_21 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) A_21))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_19) zero_zero_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_int_int (times_times_int B_19) A_21)) zero_zero_int))) ) 0.72/1.03 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int zero_zero_int))) (forall ((B $$unsorted) (A $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 A))) (not (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int A) B)))) (hBOOL (hAPP_int_bool _let_0 B))) )) 0.72/1.03 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/1.03 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((Ma $$unsorted) (X_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (quadRes Ma) X_2)) (not (forall ((Y $$unsorted)) (or (not (is_int Y)) (not (hBOOL (hAPP_int_bool (zcong (hAPP_nat_int (power_power_int Y) (number_number_of_nat (bit0 (bit1 pls)))) X_2) Ma)))) ))) ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (number_number_of_int min) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((P_2 $$unsorted) (I_2 $$unsorted) (K $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int I_2) K))) (not (hBOOL (hAPP_int_bool P_2 K))) (not (forall ((I $$unsorted)) (or (not (is_int I)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int I) K))) (not (hBOOL (hAPP_int_bool P_2 I))) (hBOOL (hAPP_int_bool P_2 (hAPP_int_int (minus_minus_int I) one_one_int)))) )) (hBOOL (hAPP_int_bool P_2 I_2))) ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_int zero_zero_int), zero_zero_int, one_one_int ) 0.72/1.03 ( zprime, zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_int pls), min, pls ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_eq_int pls), zero_zero_int, min ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), zero_zero_int, (number_number_of_int pls) ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), zero_zero_int, s ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), zero_zero_int, skv_1 ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), zero_zero_int, skv_2 ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_eq_int min), min, min ) 0.72/1.03 ( (hAPP_i1948725293t_bool ord_less_eq_int one_one_int), one_one_int, t ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((A_2 $$unsorted) (B_2 $$unsorted)) (or (not (is_int A_2)) (not (is_int B_2)) (= (= zero_zero_int (hAPP_int_int (times_times_int A_2) B_2)) (or (= zero_zero_int A_2) (= zero_zero_int B_2)))) ) 0.72/1.03 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (power_power_int X_1))) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (hAPP_nat_int (power_power_int (hAPP_nat_int _let_0 Y_1)) Z) (hAPP_nat_int _let_0 (hAPP_nat_nat (times_times_nat Y_1) Z))) )) 0.72/1.03 ( zero_zero_int, zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.03 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.72/1.03 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((A_100 $$unsorted)) (or (not (is_int A_100)) (= A_100 (hAPP_int_int (times_times_int A_100) one_one_int))) ) 0.72/1.03 ( pls ) 0.72/1.03 ( one_one_int ) 0.72/1.03 ( min ) 0.72/1.03 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/1.03 ( m ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( s ) 0.72/1.03 ( t ) 0.72/1.03 ( s1 ) 0.72/1.03 ( (undefined_int int) ) 0.72/1.03 ( skv_1 ) 0.72/1.03 ( skv_2 ) 0.72/1.03 ( skv_3 ) 0.72/1.03 ( skv_4 ) 0.72/1.03 ( skv_5 ) 0.72/1.03 ( skv_6 ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (number_number_of_nat W_4))) (forall ((W_4 $$unsorted)) (or (not (= zero_zero_nat _let_0)) (= one_one_int (hAPP_nat_int (power_power_int zero_zero_int) _let_0))) )) 0.72/1.03 ( pls ) 0.72/1.03 ( (bit1 pls) ) 0.72/1.03 ( (bit0 (bit1 pls)) ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (number_number_of_nat W_4))) (forall ((W_4 $$unsorted)) (or (= zero_zero_nat _let_0) (= zero_zero_int (hAPP_nat_int (power_power_int zero_zero_int) _let_0))) )) 0.72/1.03 ( (bit1 pls) ) 0.72/1.03 ( (bit0 (bit1 pls)) ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int zero_zero_int))) (forall ((M $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted)) (or (not (is_int X_1)) (not (is_int Y_1)) (not (hBOOL (hAPP_int_bool _let_0 X_1))) (not (hBOOL (hAPP_int_bool _let_0 Y_1))) (not (hBOOL (hAPP_int_bool _let_0 M))) (not (hBOOL (hAPP_int_bool (zcong X_1 Y_1) M))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_1) M))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int Y_1) M))) (= Y_1 X_1)) )) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (number_number_of_int min), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (number_number_of_int min), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (number_number_of_int min), (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s, s1 ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1, s1 ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2, s1 ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (number267125858f_real W_16))) (forall ((W_16 $$unsorted)) (= (hAPP_real_real (times_times_real _let_0) _let_0) (hAPP_nat_real (power_power_real _let_0) (number_number_of_nat (bit0 (bit1 pls))))) )) 0.72/1.03 ( pls ) 0.72/1.03 ( (bit1 pls) ) 0.72/1.03 ( (bit0 (bit1 pls)) ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (let ((_let_1 (hAPP_n1699378549t_bool ord_less_eq_nat zero_zero_nat))) (forall ((X_14 $$unsorted) (Y_11 $$unsorted)) (or (not (= (hAPP_nat_nat (power_power_nat X_14) _let_0) (hAPP_nat_nat (power_power_nat Y_11) _let_0))) (not (hBOOL (hAPP_nat_bool _let_1 X_14))) (not (hBOOL (hAPP_nat_bool _let_1 Y_11))) (= X_14 Y_11)) ))) 0.72/1.03 ( zero_zero_nat, zero_zero_nat ) 0.72/1.03 ( zero_zero_nat, one_one_nat ) 0.72/1.03 ( one_one_nat, zero_zero_nat ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((N $$unsorted) (P_2 $$unsorted)) (or (hBOOL (hAPP_nat_bool P_2 zero_zero_nat)) (not (hBOOL (hAPP_nat_bool P_2 N))) (not (forall ((K_2 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat K_2) N))) (not (forall ((I $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat I) K_2))) (not (hBOOL (hAPP_nat_bool P_2 I)))) )) (not (hBOOL (hAPP_nat_bool P_2 K_2)))) ))) ) 0.72/1.03 ( (number_number_of_nat (bit0 (bit1 pls))), (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (or (not (is_int Y_2)) (not (is_int X_2)) (= (= zero_zero_int (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X_2) _let_0)) (hAPP_nat_int (power_power_int Y_2) _let_0))) (and (= zero_zero_int Y_2) (= zero_zero_int X_2)))) )) 0.72/1.03 ( one_one_int, one_one_int ) 0.72/1.03 ( s, one_one_int ) 0.72/1.03 ( skv_5, skv_6 ) 0.72/1.03 ) 0.72/1.03 (instantiation (let ((_let_0 (hAPP_int_int (minus_minus_int P_3) (number_number_of_int (bit0 (bit1 pls)))))) (forall ((P_3 $$unsorted)) (or (not (hBOOL (hAPP_int_bool zprime P_3))) (= (d22set _let_0) (wset _let_0 P_3))) )) 0.72/1.03 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((Z $$unsorted) (W $$unsorted)) (= (hAPP_int_int (times_times_int W) Z) (hAPP_int_int (times_times_int Z) W)) ) 0.72/1.03 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.72/1.03 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.72/1.03 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((X_5 $$unsorted) (Y_4 $$unsorted)) (or (not (is_int Y_4)) (not (is_int X_5)) (= X_5 Y_4) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_5) Y_4)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int Y_4) X_5))) ) 0.72/1.03 ( pls, pls ) 0.72/1.03 ( pls, one_one_int ) 0.72/1.03 ( pls, min ) 0.72/1.03 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( one_one_int, pls ) 0.72/1.03 ( one_one_int, t ) 0.72/1.03 ( min, pls ) 0.72/1.03 ( min, min ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), pls ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1 ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2 ) 0.72/1.03 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( t, one_one_int ) 0.72/1.03 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((M_11 $$unsorted) (A_96 $$unsorted)) (= (hAPP_int_int (plus_plus_int M_11) (hAPP_int_int (times_times_int A_96) M_11)) (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int A_96) one_one_int)) M_11)) ) 0.72/1.03 ( t, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/1.03 ( skv_4, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((N_1 $$unsorted) (M $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) M))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int M) N_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int N_1) M)))) ) 0.72/1.03 ( pls, pls ) 0.72/1.03 ( pls, min ) 0.72/1.03 ( one_one_int, pls ) 0.72/1.03 ( min, pls ) 0.72/1.03 ( min, min ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), pls ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)) ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1 ) 0.72/1.03 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2 ) 0.72/1.03 ( t, one_one_int ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((A_104 $$unsorted) (C_30 $$unsorted)) (= (hAPP_real_real (plus_plus_real A_104) C_30) (hAPP_real_real (plus_plus_real C_30) A_104)) ) 0.72/1.03 ( one_one_real, one_one_real ) 0.72/1.03 ) 0.72/1.03 (instantiation (forall ((A_2 $$unsorted)) (or (not (is_int A_2)) (= (= zero_zero_int (hAPP_nat_int (power_power_int A_2) (number_number_of_nat (bit0 (bit1 pls))))) (= zero_zero_int A_2))) ) 0.72/1.04 ( pls ) 0.72/1.04 ( zero_zero_int ) 0.72/1.04 ( one_one_int ) 0.72/1.04 ( min ) 0.72/1.04 ( m ) 0.72/1.04 ( s ) 0.72/1.04 ( t ) 0.72/1.04 ( s1 ) 0.72/1.04 ( (undefined_int int) ) 0.72/1.04 ( skv_1 ) 0.72/1.04 ( skv_2 ) 0.72/1.04 ( skv_3 ) 0.72/1.04 ( skv_4 ) 0.72/1.04 ( skv_5 ) 0.72/1.04 ( skv_6 ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat M) N_1))) (= M N_1) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M) N_1))) ) 0.72/1.04 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (or (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M) N_1)) (= (hAPP_nat_nat (div_mod_nat (hAPP_nat_nat (minus_minus_nat M) N_1)) N_1) (hAPP_nat_nat (div_mod_nat M) N_1))) ) 0.72/1.04 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((N_30 $$unsorted) (A_84 $$unsorted)) (or (not (is_int A_84)) (= zero_zero_int A_84) (not (= zero_zero_int (hAPP_nat_int (power_power_int A_84) N_30)))) ) 0.72/1.04 ( zero_zero_nat, zero_zero_int ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_13 $$unsorted) (Y_10 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_nat_int (power_power_int X_13) _let_0)) (hAPP_nat_int (power_power_int Y_10) _let_0)))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) Y_10))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_13) Y_10))) )) 0.72/1.04 ( zero_zero_int, zero_zero_int ) 0.72/1.04 ( zero_zero_int, one_one_int ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (hAPP_r1134773055l_bool ord_less_real zero_zero_real))) (forall ((N_25 $$unsorted) (A_76 $$unsorted)) (or (not (hBOOL (hAPP_real_bool _let_0 A_76))) (hBOOL (hAPP_real_bool _let_0 (hAPP_nat_real (power_power_real A_76) N_25)))) )) 0.72/1.04 ( zero_zero_nat, zero_zero_real ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.72/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((B_11 $$unsorted) (A_12 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A_12) zero_zero_int))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int B_11) zero_zero_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) (hAPP_int_int (times_times_int A_12) B_11)))) ) 0.72/1.04 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/1.04 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (minus_minus_int min))) (forall ((L $$unsorted)) (= (bit1 (hAPP_int_int _let_0 L)) (hAPP_int_int _let_0 (bit0 L))) )) 0.72/1.04 ( pls ) 0.72/1.04 ( (bit1 pls) ) 0.72/1.04 ( (bit0 (bit1 pls)) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (or (not (is_int Y_1)) (not (is_int X_1)) (= X_1 Y_1) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int Y_1) X_1)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_1) Y_1))) ) 0.72/1.04 ( pls, pls ) 0.72/1.04 ( pls, one_one_int ) 0.72/1.04 ( pls, min ) 0.72/1.04 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( one_one_int, pls ) 0.72/1.04 ( one_one_int, t ) 0.72/1.04 ( min, pls ) 0.72/1.04 ( min, min ) 0.72/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), pls ) 0.72/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s ) 0.72/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1 ) 0.72/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2 ) 0.72/1.04 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( t, one_one_int ) 0.72/1.04 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((A_2 $$unsorted)) (= (not (= zero_zero_real A_2)) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real zero_zero_real) (hAPP_nat_real (power_power_real A_2) (number_number_of_nat (bit0 (bit1 pls))))))) ) 0.72/1.04 ( zero_zero_real ) 0.72/1.04 ( one_one_real ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((A_2 $$unsorted) (N $$unsorted)) (= (and (not (= zero_zero_nat N)) (= zero_zero_real A_2)) (= zero_zero_real (hAPP_nat_real (power_power_real A_2) N))) ) 0.72/1.04 ( zero_zero_real, zero_zero_nat ) 0.72/1.04 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.04 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((M_10 $$unsorted)) (= (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int one_one_int) one_one_int)) M_10) (hAPP_int_int (plus_plus_int M_10) M_10)) ) 0.72/1.04 ( one_one_int ) 0.72/1.04 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int zero_zero_int))) (forall ((B_9 $$unsorted) (A_10 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int B_9) A_10)))) (not (hBOOL (hAPP_int_bool _let_0 A_10))) (hBOOL (hAPP_int_bool _let_0 B_9))) )) 0.72/1.04 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.72/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.72/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((Y_1 $$unsorted) (X_1 $$unsorted) (P_1 $$unsorted)) (or (hBOOL (hAPP_int_bool (zcong X_1 zero_zero_int) P_1)) (not (hBOOL (hAPP_int_bool (zcong (hAPP_nat_int (power_power_int Y_1) (number_number_of_nat (bit0 (bit1 pls)))) X_1) P_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int P_1) Y_1)))) ) 0.72/1.04 ( s, (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( s, (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( s1, (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( skv_3, (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((A_91 $$unsorted)) (= (hAPP_nat_int (power_power_int A_91) (number_number_of_nat (bit1 (bit1 pls)))) (hAPP_int_int (times_times_int (hAPP_int_int (times_times_int A_91) A_91)) A_91)) ) 0.72/1.04 ( zero_zero_int ) 0.72/1.04 ( one_one_int ) 0.72/1.04 ( s ) 0.72/1.04 ( s1 ) 0.72/1.04 ( skv_3 ) 0.72/1.04 ( skv_5 ) 0.72/1.04 ( skv_6 ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((K_1 $$unsorted)) (or (not (is_int K_1)) (= K_1 (hAPP_int_int (minus_minus_int K_1) pls))) ) 0.72/1.04 ( pls ) 0.72/1.04 ( one_one_int ) 0.72/1.04 ( min ) 0.72/1.04 ( m ) 0.72/1.04 ( s ) 0.72/1.04 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ( t ) 0.72/1.04 ( s1 ) 0.72/1.04 ( (undefined_int int) ) 0.72/1.04 ( skv_1 ) 0.72/1.04 ( skv_2 ) 0.72/1.04 ( skv_3 ) 0.72/1.04 ( skv_4 ) 0.72/1.04 ( skv_5 ) 0.72/1.04 ( skv_6 ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int pls))) (forall ((V_18 $$unsorted) (V_17 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 V_17))) (not (hBOOL (hAPP_int_bool _let_0 V_18))) (= (hAPP_int_int (plus_plus_int (number_number_of_int V_17)) (number_number_of_int V_18)) (number_number_of_int (hAPP_int_int (plus_plus_int V_17) V_18)))) )) 0.72/1.04 ( (bit1 pls), (bit1 pls) ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int pls))) (forall ((V_18 $$unsorted) (V_17 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 V_17))) (not (hBOOL (hAPP_int_bool _let_0 V_18))) (= (number267125858f_real (hAPP_int_int (plus_plus_int V_17) V_18)) (hAPP_real_real (plus_plus_real (number267125858f_real V_17)) (number267125858f_real V_18)))) )) 0.72/1.04 ( (bit1 pls), (bit1 pls) ) 0.72/1.04 ( one_one_int, one_one_int ) 0.72/1.04 ( one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/1.04 ( one_one_int, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat I_1))) (forall ((M $$unsorted) (I_1 $$unsorted) (J_1 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool _let_0 J_1))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (plus_plus_nat M) J_1)))) )) 0.72/1.04 ( one_one_nat, zero_zero_nat, one_one_nat ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((K_1 $$unsorted)) (or (not (is_int K_1)) (= K_1 (number_number_of_int K_1))) ) 0.72/1.04 ( pls ) 0.72/1.04 ( (bit1 pls) ) 0.72/1.04 ( (bit0 (bit1 pls)) ) 0.72/1.04 ( one_one_int ) 0.72/1.04 ( (bit1 (bit1 pls)) ) 0.72/1.04 ( min ) 0.72/1.04 ( (bit0 (bit0 (bit1 pls))) ) 0.72/1.04 ( m ) 0.72/1.04 ( s ) 0.72/1.04 ( t ) 0.72/1.04 ( s1 ) 0.72/1.04 ( (undefined_int int) ) 0.72/1.04 ( skv_1 ) 0.72/1.04 ( skv_2 ) 0.72/1.04 ( skv_3 ) 0.72/1.04 ( skv_4 ) 0.72/1.04 ( skv_5 ) 0.72/1.04 ( skv_6 ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((N_29 $$unsorted)) (or (= zero_zero_nat N_29) (= zero_zero_nat (hAPP_nat_nat (power_power_nat zero_zero_nat) N_29))) ) 0.72/1.04 ( zero_zero_nat ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((K_1 $$unsorted)) (= (hAPP_int_int (plus_plus_int K_1) K_1) (bit0 K_1)) ) 0.72/1.04 ( pls ) 0.72/1.04 ( (bit1 pls) ) 0.72/1.04 ( (bit0 (bit1 pls)) ) 0.72/1.04 ( one_one_int ) 0.72/1.04 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((V $$unsorted) (W $$unsorted)) (= (number_number_of_int (hAPP_int_int (plus_plus_int V) W)) (hAPP_int_int (plus_plus_int (number_number_of_int V)) (number_number_of_int W))) ) 0.72/1.04 ( (bit1 pls), (bit1 pls) ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (number_number_of_int W_5))) (forall ((W_5 $$unsorted)) (= (number_number_of_int (bit0 W_5)) (hAPP_int_int (plus_plus_int (hAPP_int_int (plus_plus_int zero_zero_int) _let_0)) _let_0)) )) 0.72/1.04 ( pls ) 0.72/1.04 ( (bit1 pls) ) 0.72/1.04 ( (bit0 (bit1 pls)) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((X_9 $$unsorted) (N_5 $$unsorted)) (or (and (not (= one_one_real X_9)) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_5)))) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool dvd_dvd_real X_9) (hAPP_nat_real (power_power_real X_9) N_5)))) ) 0.72/1.04 ( zero_zero_real, zero_zero_nat ) 0.72/1.04 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.04 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (or (not (is_int B_1_1)) (not (is_int B_2_1)) (is_int (legendre B_1_1 B_2_1))) ) 0.72/1.04 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((A_112 $$unsorted)) (= (hAPP_nat_int (power_power_int A_112) (number_number_of_nat (bit0 (bit1 pls)))) (hAPP_int_int (times_times_int A_112) A_112)) ) 0.72/1.04 ( zero_zero_int ) 0.72/1.04 ( one_one_int ) 0.72/1.04 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( s ) 0.72/1.04 ( s1 ) 0.72/1.04 ( skv_3 ) 0.72/1.04 ( skv_5 ) 0.72/1.04 ( skv_6 ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (plus_plus_nat K))) (forall ((K $$unsorted) (Ma $$unsorted) (N $$unsorted)) (= (= Ma N) (= (hAPP_nat_nat _let_0 N) (hAPP_nat_nat _let_0 Ma))) )) 0.72/1.04 ( one_one_nat, one_one_nat, one_one_nat ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((X_23 $$unsorted)) (or (not (is_int X_23)) (= X_23 (hAPP_nat_int (power_power_int X_23) one_one_nat))) ) 0.72/1.04 ( pls ) 0.72/1.04 ( zero_zero_int ) 0.72/1.04 ( one_one_int ) 0.72/1.04 ( min ) 0.72/1.04 ( m ) 0.72/1.04 ( s ) 0.72/1.04 ( t ) 0.72/1.04 ( s1 ) 0.72/1.04 ( (undefined_int int) ) 0.72/1.04 ( skv_1 ) 0.72/1.04 ( skv_2 ) 0.72/1.04 ( skv_3 ) 0.72/1.04 ( skv_4 ) 0.72/1.04 ( skv_5 ) 0.72/1.04 ( skv_6 ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((A_2 $$unsorted) (B_2 $$unsorted)) (or (not (is_int B_2)) (not (is_int A_2)) (= (= A_2 B_2) (hBOOL (hAPP_int_bool (zcong A_2 B_2) zero_zero_int)))) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ( s1, s ) 0.72/1.04 ( s1, skv_1 ) 0.72/1.04 ( s1, skv_2 ) 0.72/1.04 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int I_1))) (forall ((K_1 $$unsorted) (I_1 $$unsorted) (J_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 J_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int J_1) K_1))) (hBOOL (hAPP_int_bool _let_0 K_1))) )) 0.72/1.04 ( pls, zero_zero_int, min ) 0.72/1.04 ( min, min, min ) 0.72/1.04 ( (number_number_of_int pls), zero_zero_int, (number_number_of_int pls) ) 0.72/1.04 ( s, min, pls ) 0.72/1.04 ( t, zero_zero_int, one_one_int ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int zero_zero_int))) (forall ((B_5 $$unsorted) (A_6 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 A_6))) (not (hBOOL (hAPP_int_bool _let_0 B_5))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int A_6) B_5)))) )) 0.72/1.04 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.72/1.04 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.72/1.04 ) 0.72/1.04 (instantiation (let ((_let_0 (hAPP_int_int (plus_plus_int A) B))) (forall ((B $$unsorted) (A $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) A))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int _let_0) zero_zero_int))) (= (hAPP_int_int (div_mod_int A) B) _let_0)) )) 0.72/1.04 ( one_one_int, one_one_int ) 0.72/1.04 ( one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.72/1.04 ( one_one_int, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ( (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.72/1.04 ) 0.72/1.04 (instantiation (forall ((V_9 $$unsorted) (W_8 $$unsorted)) (= (hAPP_real_real (plus_plus_real (number267125858f_real V_9)) (number267125858f_real W_8)) (number267125858f_real (hAPP_int_int (plus_plus_int V_9) W_8))) ) 0.72/1.04 ( (bit1 pls), (bit1 pls) ) 0.72/1.04 ( one_one_int, one_one_int ) 0.72/1.04 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), one_one_int ) 0.72/1.04 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.81/1.04 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.04 ) 0.81/1.04 (instantiation (forall ((K_1 $$unsorted)) (or (not (is_int K_1)) (= K_1 (hAPP_int_int (plus_plus_int pls) K_1))) ) 0.81/1.04 ( pls ) 0.81/1.04 ( one_one_int ) 0.81/1.04 ( min ) 0.81/1.04 ( m ) 0.81/1.04 ( s ) 0.81/1.04 ( t ) 0.81/1.04 ( s1 ) 0.81/1.04 ( (undefined_int int) ) 0.81/1.04 ( skv_1 ) 0.81/1.04 ( skv_2 ) 0.81/1.04 ( skv_3 ) 0.81/1.04 ( skv_4 ) 0.81/1.04 ( skv_5 ) 0.81/1.04 ( skv_6 ) 0.81/1.04 ) 0.81/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int zero_zero_int))) (forall ((N_25 $$unsorted) (A_76 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 A_76))) (hBOOL (hAPP_int_bool _let_0 (hAPP_nat_int (power_power_int A_76) N_25)))) )) 0.81/1.04 ( zero_zero_nat, zero_zero_int ) 0.81/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.81/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.81/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.81/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.81/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.81/1.04 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.81/1.04 ) 0.81/1.04 (instantiation (let ((_let_0 (power_power_int A_74))) (forall ((A_74 $$unsorted) (N_23 $$unsorted) (N_22 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat N_23) N_22))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) A_74))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A_74) one_one_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_nat_int _let_0 N_22)) (hAPP_nat_int _let_0 N_23)))) )) 0.81/1.04 ( zero_zero_int, zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.04 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.04 ) 0.81/1.04 (instantiation (forall ((K_1 $$unsorted)) (or (not (is_int K_1)) (= K_1 (hAPP_int_int (plus_plus_int K_1) pls))) ) 0.81/1.04 ( pls ) 0.81/1.04 ( one_one_int ) 0.81/1.04 ( min ) 0.81/1.04 ( m ) 0.81/1.04 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.04 ( s ) 0.81/1.04 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.04 ( t ) 0.81/1.04 ( s1 ) 0.81/1.04 ( (undefined_int int) ) 0.81/1.04 ( skv_1 ) 0.81/1.04 ( skv_2 ) 0.81/1.04 ( skv_3 ) 0.81/1.04 ( skv_4 ) 0.81/1.04 ( skv_5 ) 0.81/1.04 ( skv_6 ) 0.81/1.04 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.04 ) 0.81/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool dvd_dvd_int K_1))) (forall ((K_1 $$unsorted) (M $$unsorted) (N_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (minus_minus_int M) N_1)))) (not (hBOOL (hAPP_int_bool _let_0 N_1))) (hBOOL (hAPP_int_bool _let_0 M))) )) 0.81/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.81/1.04 ) 0.81/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int W_1))) (forall ((W_1 $$unsorted) (Z_1 $$unsorted)) (or (not (is_int Z_1)) (not (is_int W_1)) (= (or (hBOOL (hAPP_int_bool _let_0 Z_1)) (= W_1 Z_1)) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (plus_plus_int Z_1) one_one_int))))) )) 0.81/1.04 ( pls, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.04 ( s, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.04 ( t, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.04 ( skv_1, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.04 ( skv_2, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.04 ) 0.81/1.04 (instantiation (forall ((N_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int N_1) zero_zero_int))) (= one_one_int (zfact N_1))) ) 0.81/1.04 ( zero_zero_int ) 0.81/1.04 ( one_one_int ) 0.81/1.04 ( min ) 0.81/1.04 ) 0.81/1.04 (instantiation (forall ((N_1 $$unsorted)) (or (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int N_1) zero_zero_int)) (= (zfact N_1) (hAPP_int_int (times_times_int N_1) (zfact (hAPP_int_int (minus_minus_int N_1) one_one_int))))) ) 0.81/1.04 ( zero_zero_int ) 0.81/1.04 ( one_one_int ) 0.81/1.04 ( min ) 0.81/1.04 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.04 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.04 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.04 ) 0.81/1.04 (instantiation (let ((_let_0 (bit0 (bit1 pls)))) (let ((_let_1 (number_number_of_nat _let_0))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (hAPP_real_real (plus_plus_real (hAPP_real_real (plus_plus_real (hAPP_nat_real (power_power_real X_2) _let_1)) (hAPP_nat_real (power_power_real Y_2) _let_1))) (hAPP_real_real (times_times_real (hAPP_real_real (times_times_real (number267125858f_real _let_0)) X_2)) Y_2)) (hAPP_nat_real (power_power_real (hAPP_real_real (plus_plus_real X_2) Y_2)) _let_1)) ))) 0.81/1.04 ( one_one_real, one_one_real ) 0.81/1.04 ) 0.81/1.04 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int pls))) (forall ((V_20 $$unsorted) (V_19 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 V_19))) (not (hBOOL (hAPP_int_bool _let_0 V_20))) (= (number_number_of_nat (hAPP_int_int (times_times_int V_19) V_20)) (hAPP_nat_nat (times_times_nat (number_number_of_nat V_19)) (number_number_of_nat V_20)))) )) 0.81/1.05 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.05 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((N_1 $$unsorted) (M $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) M))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M) N_1))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool dvd_dvd_nat N_1) M)))) ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (or (not (is_int X_2)) (not (is_int Y_2)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X_2) _let_0)) (hAPP_nat_int (power_power_int Y_2) _let_0))) zero_zero_int)) (and (= zero_zero_int Y_2) (= zero_zero_int X_2)))) )) 0.81/1.05 ( one_one_int, one_one_int ) 0.81/1.05 ( s, one_one_int ) 0.81/1.05 ( skv_5, skv_6 ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (power_power_int A_2))) (forall ((Ma $$unsorted) (N $$unsorted) (A_2 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) A_2))) (= (= (hAPP_nat_int _let_0 N) (hAPP_nat_int _let_0 Ma)) (= Ma N))) )) 0.81/1.05 ( zero_zero_nat, zero_zero_nat, zero_zero_int ) 0.81/1.05 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), s ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (number_number_of_nat W_4))) (forall ((W_4 $$unsorted)) (or (= zero_zero_nat _let_0) (= zero_zero_nat (hAPP_nat_nat (power_power_nat zero_zero_nat) _let_0))) )) 0.81/1.05 ( (bit1 pls) ) 0.81/1.05 ( (bit0 (bit1 pls)) ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (number_number_of_nat W_4))) (forall ((W_4 $$unsorted)) (or (not (= zero_zero_nat _let_0)) (= one_one_nat (hAPP_nat_nat (power_power_nat zero_zero_nat) _let_0))) )) 0.81/1.05 ( pls ) 0.81/1.05 ( (bit1 pls) ) 0.81/1.05 ( (bit0 (bit1 pls)) ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int V_7))) (forall ((V_7 $$unsorted) (V_8 $$unsorted)) (= (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat (number_number_of_nat V_7)) (number_number_of_nat V_8))) (or (hBOOL (hAPP_int_bool _let_0 V_8)) (hBOOL (hAPP_int_bool _let_0 pls)))) )) 0.81/1.05 ( zero_zero_int, one_one_int ) 0.81/1.05 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.05 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.05 ( zero_zero_int, min ) 0.81/1.05 ( zero_zero_int, (number_number_of_int pls) ) 0.81/1.05 ( zero_zero_int, s ) 0.81/1.05 ( zero_zero_int, skv_1 ) 0.81/1.05 ( zero_zero_int, skv_2 ) 0.81/1.05 ( one_one_int, t ) 0.81/1.05 ( min, pls ) 0.81/1.05 ( min, min ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((B $$unsorted) (A $$unsorted)) (or (not (is_int A)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A) zero_zero_int))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int B) A))) (= A (hAPP_int_int (div_mod_int A) B))) ) 0.81/1.05 ( pls, pls ) 0.81/1.05 ( pls, one_one_int ) 0.81/1.05 ( pls, min ) 0.81/1.05 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( one_one_int, t ) 0.81/1.05 ( min, pls ) 0.81/1.05 ( min, min ) 0.81/1.05 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((B $$unsorted) (A $$unsorted)) (or (not (is_int A)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) A))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A) B))) (= A (hAPP_int_int (div_mod_int A) B))) ) 0.81/1.05 ( pls, pls ) 0.81/1.05 ( pls, min ) 0.81/1.05 ( one_one_int, pls ) 0.81/1.05 ( min, pls ) 0.81/1.05 ( min, min ) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), pls ) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s ) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1 ) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2 ) 0.81/1.05 ( t, one_one_int ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((N_1 $$unsorted) (M $$unsorted)) (or (not (is_int M)) (not (is_int N_1)) (not (hBOOL (hAPP_int_bool _let_0 M))) (not (hBOOL (hAPP_int_bool _let_0 N_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int M) N_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int N_1) M))) (= N_1 M)) )) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)) ) 0.81/1.05 ( (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((Ma $$unsorted) (N $$unsorted)) (= (not (= Ma N)) (or (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat N) Ma)) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat Ma) N)))) ) 0.81/1.05 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (power_power_int A_60))) (forall ((M_3 $$unsorted) (N_9 $$unsorted) (A_60 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) A_60))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_nat_int _let_0 M_3)) (hAPP_nat_int _let_0 N_9)))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M_3) N_9))) )) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M) N_1))) (= M (hAPP_nat_nat (div_mod_nat M) N_1))) ) 0.81/1.05 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (number_number_of_nat W_16))) (forall ((W_16 $$unsorted)) (= (hAPP_nat_nat (times_times_nat _let_0) _let_0) (hAPP_nat_nat (power_power_nat _let_0) (number_number_of_nat (bit0 (bit1 pls))))) )) 0.81/1.05 ( pls ) 0.81/1.05 ( (bit1 pls) ) 0.81/1.05 ( (bit0 (bit1 pls)) ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool twoSqu1154269391sum2sq X_1))) (not (hBOOL (hAPP_int_bool twoSqu1154269391sum2sq Y_1))) (hBOOL (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int X_1) Y_1)))) ) 0.81/1.05 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.05 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((B_2 $$unsorted) (A_2 $$unsorted)) (or (not (hBOOL (member_int B_2 (d22set A_2)))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_2) A_2))) ) 0.81/1.05 ( zero_zero_int, one_one_int ) 0.81/1.05 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.05 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.05 ( zero_zero_int, min ) 0.81/1.05 ( zero_zero_int, (number_number_of_int pls) ) 0.81/1.05 ( zero_zero_int, s ) 0.81/1.05 ( zero_zero_int, skv_1 ) 0.81/1.05 ( zero_zero_int, skv_2 ) 0.81/1.05 ( one_one_int, t ) 0.81/1.05 ( min, pls ) 0.81/1.05 ( min, min ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((A $$unsorted) (P_1 $$unsorted)) (or (not (is_int A)) (not (hBOOL (hAPP_int_bool zprime P_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) A))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A) P_1))) (not (hBOOL (hAPP_int_bool (zcong (hAPP_int_int (times_times_int A) A) one_one_int) P_1))) (= one_one_int A) (= A (hAPP_int_int (minus_minus_int P_1) one_one_int))) ) 0.81/1.05 ( pls, pls ) 0.81/1.05 ( pls, one_one_int ) 0.81/1.05 ( pls, min ) 0.81/1.05 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( one_one_int, t ) 0.81/1.05 ( min, pls ) 0.81/1.05 ( min, min ) 0.81/1.05 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (power_power_int A_65))) (forall ((A_65 $$unsorted) (M_5 $$unsorted) (N_16 $$unsorted)) (= (hAPP_int_int (times_times_int (hAPP_nat_int _let_0 M_5)) (hAPP_nat_int _let_0 N_16)) (hAPP_nat_int _let_0 (hAPP_nat_nat (plus_plus_nat M_5) N_16))) )) 0.81/1.05 ( zero_zero_int, one_one_nat, one_one_nat ) 0.81/1.05 ( one_one_int, one_one_nat, one_one_nat ) 0.81/1.05 ( s, one_one_nat, one_one_nat ) 0.81/1.05 ( s1, one_one_nat, one_one_nat ) 0.81/1.05 ( skv_3, one_one_nat, one_one_nat ) 0.81/1.05 ( skv_5, one_one_nat, one_one_nat ) 0.81/1.05 ( skv_6, one_one_nat, one_one_nat ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat B_4))) (forall ((B_4 $$unsorted) (C_1 $$unsorted) (A_4 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) A_4))) (not (hBOOL (hAPP_nat_bool _let_0 C_1))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (plus_plus_nat A_4) C_1)))) )) 0.81/1.05 ( zero_zero_nat, one_one_nat, one_one_nat ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_eq_nat zero_zero_nat))) (forall ((N_27 $$unsorted) (A_78 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool _let_0 A_78))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (power_power_nat A_78) N_27)))) )) 0.81/1.05 ( zero_zero_nat, zero_zero_nat ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((A $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) A))) (not (forall ((P_4 $$unsorted)) (or (not (is_int P_4)) (not (hBOOL (hAPP_int_bool zprime P_4))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int P_4) A)))) ))) ) 0.81/1.05 ( t ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (power_power_nat A_2))) (forall ((Ma $$unsorted) (N $$unsorted) (A_2 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat one_one_nat) A_2))) (= (= (hAPP_nat_nat _let_0 N) (hAPP_nat_nat _let_0 Ma)) (= Ma N))) )) 0.81/1.05 ( zero_zero_nat, zero_zero_nat, zero_zero_nat ) 0.81/1.05 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_nat ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((N $$unsorted)) (= (not (= zero_zero_nat N)) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N))) ) 0.81/1.05 ( (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((A_2 $$unsorted) (B_2 $$unsorted) (Ma $$unsorted)) (or (not (is_int B_2)) (= (not (forall ((K_2 $$unsorted)) (or (not (is_int K_2)) (not (= B_2 (hAPP_int_int (plus_plus_int A_2) (hAPP_int_int (times_times_int Ma) K_2))))) )) (hBOOL (hAPP_int_bool (zcong A_2 B_2) Ma)))) ) 0.81/1.05 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( s1, s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( s1, skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( s1, skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((B $$unsorted) (M $$unsorted) (A $$unsorted)) (or (not (is_int A)) (not (is_int B)) (not (hBOOL (hAPP_int_bool _let_0 A))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A) M))) (not (hBOOL (hAPP_int_bool _let_0 B))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int B) M))) (not (hBOOL (hAPP_int_bool (zcong A B) M))) (= B A)) )) 0.81/1.05 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.05 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.05 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.05 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s1 ) 0.81/1.05 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.05 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s1 ) 0.81/1.05 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s1 ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((P_3 $$unsorted)) (or (not (is_int P_3)) (= (hBOOL (hAPP_int_bool zprime P_3)) (and (forall ((M_2 $$unsorted)) (or (not (is_int M_2)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int M_2) P_3))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) M_2))) (= one_one_int M_2) (= P_3 M_2)) ) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) P_3))))) ) 0.81/1.05 ( pls ) 0.81/1.05 ( one_one_int ) 0.81/1.05 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.05 ( min ) 0.81/1.05 ( m ) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( s ) 0.81/1.05 ( t ) 0.81/1.05 ( s1 ) 0.81/1.05 ( (undefined_int int) ) 0.81/1.05 ( skv_1 ) 0.81/1.05 ( skv_2 ) 0.81/1.05 ( skv_3 ) 0.81/1.05 ( skv_4 ) 0.81/1.05 ( skv_5 ) 0.81/1.05 ( skv_6 ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((A_50 $$unsorted) (B_44 $$unsorted)) (or (not (is_int A_50)) (not (is_int B_44)) (not (= zero_zero_int (hAPP_int_int (times_times_int A_50) B_44))) (= zero_zero_int A_50) (= zero_zero_int B_44)) ) 0.81/1.05 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.81/1.05 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (number_number_of_nat W_1))) (forall ((A_2 $$unsorted) (W_1 $$unsorted)) (or (not (is_int A_2)) (= (= zero_zero_int (hAPP_nat_int (power_power_int A_2) _let_0)) (and (= zero_zero_int A_2) (not (= zero_zero_nat _let_0))))) )) 0.81/1.05 ( zero_zero_int, pls ) 0.81/1.05 ( zero_zero_int, (bit0 (bit1 pls)) ) 0.81/1.05 ( one_one_int, (bit0 (bit1 pls)) ) 0.81/1.05 ( s, (bit0 (bit1 pls)) ) 0.81/1.05 ( s1, (bit0 (bit1 pls)) ) 0.81/1.05 ( skv_3, (bit0 (bit1 pls)) ) 0.81/1.05 ( skv_5, (bit0 (bit1 pls)) ) 0.81/1.05 ( skv_6, (bit0 (bit1 pls)) ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (let ((_let_1 (power_power_nat A_103))) (forall ((A_103 $$unsorted) (N_39 $$unsorted)) (= (hAPP_nat_nat _let_1 (hAPP_nat_nat (times_times_nat _let_0) N_39)) (hAPP_nat_nat (power_power_nat (hAPP_nat_nat _let_1 N_39)) _let_0)) ))) 0.81/1.05 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.05 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((N $$unsorted) (Ma $$unsorted)) (or (not (is_int N)) (not (is_int Ma)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) Ma))) (= (and (= one_one_int Ma) (= one_one_int N)) (= one_one_int (hAPP_int_int (times_times_int Ma) N)))) ) 0.81/1.05 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.05 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (plus_plus_int B_50))) (let ((_let_1 (times_times_int R_4))) (forall ((C_27 $$unsorted) (D_8 $$unsorted) (B_50 $$unsorted) (R_4 $$unsorted)) (or (not (is_int D_8)) (not (is_int R_4)) (not (is_int C_27)) (= zero_zero_int R_4) (= C_27 D_8) (not (= (hAPP_int_int _let_0 (hAPP_int_int _let_1 D_8)) (hAPP_int_int _let_0 (hAPP_int_int _let_1 C_27))))) ))) 0.81/1.05 ( pls, s1, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), s1 ) 0.81/1.05 ( one_one_int, m, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), m ) 0.81/1.05 ( m, one_one_int, one_one_int, one_one_int ) 0.81/1.05 ( m, m, one_one_int, m ) 0.81/1.05 ( m, m, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), m ) 0.81/1.05 ( m, m, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), m ) 0.81/1.05 ( m, m, (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))), m ) 0.81/1.05 ( s1, pls, (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))), pls ) 0.81/1.05 ( s1, s1, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), s1 ) 0.81/1.05 ( s1, s1, (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))), s1 ) 0.81/1.05 ) 0.81/1.05 (instantiation (forall ((A_94 $$unsorted)) (or (not (is_int A_94)) (= A_94 (hAPP_int_int (plus_plus_int A_94) (number_number_of_int pls)))) ) 0.81/1.05 ( pls ) 0.81/1.05 ( one_one_int ) 0.81/1.05 ( min ) 0.81/1.05 ( m ) 0.81/1.05 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.05 ( s ) 0.81/1.05 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.05 ( t ) 0.81/1.05 ( s1 ) 0.81/1.05 ( (undefined_int int) ) 0.81/1.05 ( skv_1 ) 0.81/1.05 ( skv_2 ) 0.81/1.05 ( skv_3 ) 0.81/1.05 ( skv_4 ) 0.81/1.05 ( skv_5 ) 0.81/1.05 ( skv_6 ) 0.81/1.05 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.05 ) 0.81/1.05 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (hAPP_nat_nat (power_power_nat (hAPP_nat_nat (plus_plus_nat X_2) Y_2)) _let_0) (hAPP_nat_nat (plus_plus_nat (hAPP_nat_nat (plus_plus_nat (hAPP_nat_nat (power_power_nat X_2) _let_0)) (hAPP_nat_nat (power_power_nat Y_2) _let_0))) (hAPP_nat_nat (times_times_nat (hAPP_nat_nat (times_times_nat _let_0) X_2)) Y_2))) )) 0.81/1.06 ( one_one_nat, one_one_nat ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (number_number_of_nat W_4))) (forall ((W_4 $$unsorted)) (or (not (= zero_zero_nat _let_0)) (= one_one_real (hAPP_nat_real (power_power_real zero_zero_real) _let_0))) )) 0.81/1.06 ( pls ) 0.81/1.06 ( (bit1 pls) ) 0.81/1.06 ( (bit0 (bit1 pls)) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (number_number_of_nat W_4))) (forall ((W_4 $$unsorted)) (or (= zero_zero_nat _let_0) (= zero_zero_real (hAPP_nat_real (power_power_real zero_zero_real) _let_0))) )) 0.81/1.06 ( (bit1 pls) ) 0.81/1.06 ( (bit0 (bit1 pls)) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_eq_nat one_one_nat))) (forall ((N_12 $$unsorted) (A_62 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool _let_0 A_62))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (power_power_nat A_62) N_12)))) )) 0.81/1.06 ( zero_zero_nat, zero_zero_nat ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (power_power_real A_64))) (forall ((A_64 $$unsorted) (M_4 $$unsorted) (N_14 $$unsorted)) (= (hAPP_nat_real (power_power_real (hAPP_nat_real _let_0 M_4)) N_14) (hAPP_nat_real _let_0 (hAPP_nat_nat (times_times_nat M_4) N_14))) )) 0.81/1.06 ( zero_zero_real, zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.06 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((N_26 $$unsorted) (A_77 $$unsorted) (B_52 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A_77) B_52))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) A_77))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_nat_int (power_power_int A_77) N_26)) (hAPP_nat_int (power_power_int B_52) N_26)))) ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int, zero_zero_int ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int, one_one_int ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (or (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M) N_1)) (= M (hAPP_nat_nat (plus_plus_nat N_1) (hAPP_nat_nat (minus_minus_nat M) N_1)))) ) 0.81/1.06 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int pls))) (forall ((V_18 $$unsorted) (V_17 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 V_17))) (not (hBOOL (hAPP_int_bool _let_0 V_18))) (= (hAPP_nat_nat (plus_plus_nat (number_number_of_nat V_17)) (number_number_of_nat V_18)) (number_number_of_nat (hAPP_int_int (plus_plus_int V_17) V_18)))) )) 0.81/1.06 ( (bit1 pls), (bit1 pls) ) 0.81/1.06 ( one_one_int, one_one_int ) 0.81/1.06 ( one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.06 ( one_one_int, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ( (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((Ma $$unsorted) (N $$unsorted)) (= (= zero_zero_nat (hAPP_nat_nat (power_power_nat Ma) N)) (and (= zero_zero_nat Ma) (not (= zero_zero_nat N)))) ) 0.81/1.06 ( zero_zero_nat, zero_zero_nat ) 0.81/1.06 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((X_9 $$unsorted) (N_5 $$unsorted)) (or (and (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_5))) (not (= one_one_int X_9))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int X_9) (hAPP_nat_int (power_power_int X_9) N_5)))) ) 0.81/1.06 ( zero_zero_int, zero_zero_nat ) 0.81/1.06 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( s, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( s1, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( skv_3, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool dvd_dvd_int X_3))) (forall ((Z_2 $$unsorted) (X_3 $$unsorted) (Y_3 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 Y_3))) (not (hBOOL (hAPP_int_bool _let_0 Z_2))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (minus_minus_int Y_3) Z_2)))) )) 0.81/1.06 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (or (not (is_int K)) (not (is_int L_1)) (= (= (bit1 K) (bit1 L_1)) (= K L_1))) ) 0.81/1.06 ( pls, s1 ) 0.81/1.06 ( zero_zero_int, (undefined_int int) ) 0.81/1.06 ( one_one_int, m ) 0.81/1.06 ( min, s ) 0.81/1.06 ( m, one_one_int ) 0.81/1.06 ( m, m ) 0.81/1.06 ( s, min ) 0.81/1.06 ( s, s ) 0.81/1.06 ( t, t ) 0.81/1.06 ( t, skv_1 ) 0.81/1.06 ( s1, pls ) 0.81/1.06 ( s1, s1 ) 0.81/1.06 ( (undefined_int int), zero_zero_int ) 0.81/1.06 ( (undefined_int int), (undefined_int int) ) 0.81/1.06 ( skv_1, t ) 0.81/1.06 ( skv_2, skv_2 ) 0.81/1.06 ( skv_2, skv_3 ) 0.81/1.06 ( skv_3, skv_2 ) 0.81/1.06 ( skv_4, skv_4 ) 0.81/1.06 ( skv_4, skv_5 ) 0.81/1.06 ( skv_5, skv_4 ) 0.81/1.06 ( skv_6, skv_6 ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((Ma $$unsorted) (K $$unsorted) (F_1 $$unsorted)) (or (not (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M_2) N_2))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat (hAPP_nat_nat F_1 M_2)) (hAPP_nat_nat F_1 N_2)))) )) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat (hAPP_nat_nat (plus_plus_nat (hAPP_nat_nat F_1 Ma)) K)) (hAPP_nat_nat F_1 (hAPP_nat_nat (plus_plus_nat Ma) K))))) ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat, (power_power_nat one_one_nat) ) 0.81/1.06 ( one_one_nat, one_one_nat, (power_power_nat zero_zero_nat) ) 0.81/1.06 ( one_one_nat, one_one_nat, (power_power_nat one_one_nat) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((Z_4 $$unsorted)) (= (hAPP_int_int (times_times_int Z_4) (number_number_of_int (bit0 (bit1 pls)))) (hAPP_int_int (plus_plus_int Z_4) Z_4)) ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.06 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.06 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((Z $$unsorted)) (or (not (is_int Z)) (= Z (hAPP_int_int (plus_plus_int Z) zero_zero_int))) ) 0.81/1.06 ( pls ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ( min ) 0.81/1.06 ( m ) 0.81/1.06 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.06 ( s ) 0.81/1.06 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ( t ) 0.81/1.06 ( s1 ) 0.81/1.06 ( (undefined_int int) ) 0.81/1.06 ( skv_1 ) 0.81/1.06 ( skv_2 ) 0.81/1.06 ( skv_3 ) 0.81/1.06 ( skv_4 ) 0.81/1.06 ( skv_5 ) 0.81/1.06 ( skv_6 ) 0.81/1.06 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (bit0 (bit1 pls)))) (let ((_let_1 (number_number_of_nat _let_0))) (forall ((X_7 $$unsorted) (Y_6 $$unsorted)) (= (hAPP_nat_real (power_power_real (hAPP_real_real (minus_minus_real X_7) Y_6)) _let_1) (hAPP_real_real (minus_minus_real (hAPP_real_real (plus_plus_real (hAPP_nat_real (power_power_real X_7) _let_1)) (hAPP_nat_real (power_power_real Y_6) _let_1))) (hAPP_real_real (times_times_real (hAPP_real_real (times_times_real (number267125858f_real _let_0)) X_7)) Y_6))) ))) 0.81/1.06 ( one_one_real, one_one_real ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((A_44 $$unsorted)) (or (not (is_int A_44)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int zero_zero_int) A_44))) (= zero_zero_int A_44)) ) 0.81/1.06 ( pls ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ( min ) 0.81/1.06 ( m ) 0.81/1.06 ( s ) 0.81/1.06 ( t ) 0.81/1.06 ( s1 ) 0.81/1.06 ( (undefined_int int) ) 0.81/1.06 ( skv_1 ) 0.81/1.06 ( skv_2 ) 0.81/1.06 ( skv_3 ) 0.81/1.06 ( skv_4 ) 0.81/1.06 ( skv_5 ) 0.81/1.06 ( skv_6 ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (power_power_int A_59))) (forall ((A_59 $$unsorted) (N_8 $$unsorted) (N_7 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat N_8) N_7))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) A_59))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_nat_int _let_0 N_8)) (hAPP_nat_int _let_0 N_7)))) )) 0.81/1.06 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.06 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((A_80 $$unsorted)) (or (not (is_int A_80)) (= A_80 (hAPP_int_int (plus_plus_int zero_zero_int) A_80))) ) 0.81/1.06 ( pls ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ( min ) 0.81/1.06 ( m ) 0.81/1.06 ( s ) 0.81/1.06 ( t ) 0.81/1.06 ( s1 ) 0.81/1.06 ( (undefined_int int) ) 0.81/1.06 ( skv_1 ) 0.81/1.06 ( skv_2 ) 0.81/1.06 ( skv_3 ) 0.81/1.06 ( skv_4 ) 0.81/1.06 ( skv_5 ) 0.81/1.06 ( skv_6 ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool dvd_dvd_int A_38))) (forall ((B_35 $$unsorted) (A_38 $$unsorted) (C_17 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 C_17))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int B_35) C_17)))) )) 0.81/1.06 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((Z_6 $$unsorted)) (= (hAPP_nat_nat (times_times_nat (number_number_of_nat (bit0 (bit1 pls)))) Z_6) (hAPP_nat_nat (plus_plus_nat Z_6) Z_6)) ) 0.81/1.06 ( one_one_nat ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((Z_6 $$unsorted)) (= (hAPP_int_int (plus_plus_int Z_6) Z_6) (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit1 pls)))) Z_6)) ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.06 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((M_10 $$unsorted)) (= (hAPP_real_real (plus_plus_real M_10) M_10) (hAPP_real_real (times_times_real (hAPP_real_real (plus_plus_real one_one_real) one_one_real)) M_10)) ) 0.81/1.06 ( one_one_real ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (minus_minus_int min))) (forall ((L $$unsorted)) (= (bit0 (hAPP_int_int _let_0 L)) (hAPP_int_int _let_0 (bit1 L))) )) 0.81/1.06 ( pls ) 0.81/1.06 ( (bit1 pls) ) 0.81/1.06 ( min ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((A_2 $$unsorted)) (= (= zero_zero_real (hAPP_real_real (plus_plus_real A_2) A_2)) (= zero_zero_real A_2)) ) 0.81/1.06 ( one_one_real ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((Z $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) Z))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) (hAPP_int_int (plus_plus_int one_one_int) Z)))) ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.06 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.06 ( min ) 0.81/1.06 ( (number_number_of_int pls) ) 0.81/1.06 ( s ) 0.81/1.06 ( skv_1 ) 0.81/1.06 ( skv_2 ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hAPP_nat_real (power_power_real A_71) N_19))) (forall ((N_19 $$unsorted) (A_71 $$unsorted)) (or (not (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real zero_zero_real) A_71))) (not (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real A_71) one_one_real))) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real (hAPP_real_real (times_times_real A_71) _let_0)) _let_0))) )) 0.81/1.06 ( zero_zero_nat, zero_zero_real ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat one_one_nat))) (forall ((N_37 $$unsorted) (A_89 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool _let_0 A_89))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (times_times_nat A_89) (hAPP_nat_nat (power_power_nat A_89) N_37))))) )) 0.81/1.06 ( zero_zero_nat, zero_zero_nat ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((N_1 $$unsorted) (M $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int N_1) M))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int M) zero_zero_int)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int N_1) M))) ) 0.81/1.06 ( zero_zero_int, one_one_int ) 0.81/1.06 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.06 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.06 ( zero_zero_int, min ) 0.81/1.06 ( zero_zero_int, (number_number_of_int pls) ) 0.81/1.06 ( zero_zero_int, s ) 0.81/1.06 ( zero_zero_int, skv_1 ) 0.81/1.06 ( zero_zero_int, skv_2 ) 0.81/1.06 ( one_one_int, t ) 0.81/1.06 ( min, pls ) 0.81/1.06 ( min, min ) 0.81/1.06 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (bit0 (bit1 pls)))) (let ((_let_1 (number_number_of_nat _let_0))) (let ((_let_2 (power_power_int X_1))) (forall ((X_1 $$unsorted)) (= (hAPP_nat_int (power_power_int (hAPP_nat_int _let_2 _let_1)) _let_1) (hAPP_nat_int _let_2 (number_number_of_nat (bit0 _let_0)))) )))) 0.81/1.06 ( zero_zero_int ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((Z $$unsorted) (N_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int Z) N_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) N_1))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int Z) N_1))) ) 0.81/1.06 ( zero_zero_int, one_one_int ) 0.81/1.06 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.06 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.06 ( zero_zero_int, min ) 0.81/1.06 ( zero_zero_int, (number_number_of_int pls) ) 0.81/1.06 ( zero_zero_int, s ) 0.81/1.06 ( zero_zero_int, skv_1 ) 0.81/1.06 ( zero_zero_int, skv_2 ) 0.81/1.06 ( one_one_int, t ) 0.81/1.06 ( min, pls ) 0.81/1.06 ( min, min ) 0.81/1.06 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)) ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (or (not (is_int B_2_1)) (is_bool (hAPP_int_bool B_1_1 B_2_1))) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int one_one_int), t ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int zero_zero_int), one_one_int ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int zero_zero_int), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( zprime, (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.06 ( zprime, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int pls), pls ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int pls), min ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int pls), min ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), one_one_int ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), (number_number_of_int pls) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), s ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), skv_1 ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), skv_2 ) 0.81/1.06 ( (hAPP_i1948725293t_bool dvd_dvd_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)), (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)) ) 0.81/1.06 ( twoSqu1154269391sum2sq, (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int min), pls ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int min), min ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_eq_int one_one_int), t ) 0.81/1.06 ( (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)), (number_number_of_int min) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int s), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (zcong s1 s), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int min), pls ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int min), min ) 0.81/1.06 ( (zcong (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (zcong (hAPP_nat_int (power_power_int s) _let_0) (hAPP_nat_int (power_power_int s1) _let_0))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int t), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (zcong (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int skv_1), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (zcong s1 skv_1), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (hAPP_i1948725293t_bool ord_less_int skv_2), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (zcong s1 skv_2), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( (zcong (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))) (number_number_of_int min)), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hAPP_nat_nat (power_power_nat A_71) N_19))) (forall ((N_19 $$unsorted) (A_71 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) A_71))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat A_71) one_one_nat))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat (hAPP_nat_nat (times_times_nat A_71) _let_0)) _let_0))) )) 0.81/1.06 ( zero_zero_nat, zero_zero_nat ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.06 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((L_1 $$unsorted)) (or (not (is_int L_1)) (= (= pls (bit0 L_1)) (= pls L_1))) ) 0.81/1.06 ( pls ) 0.81/1.06 ( (bit1 pls) ) 0.81/1.06 ( (bit0 (bit1 pls)) ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ( min ) 0.81/1.06 ( m ) 0.81/1.06 ( s ) 0.81/1.06 ( t ) 0.81/1.06 ( s1 ) 0.81/1.06 ( (undefined_int int) ) 0.81/1.06 ( skv_1 ) 0.81/1.06 ( skv_2 ) 0.81/1.06 ( skv_3 ) 0.81/1.06 ( skv_4 ) 0.81/1.06 ( skv_5 ) 0.81/1.06 ( skv_6 ) 0.81/1.06 ) 0.81/1.06 (instantiation (forall ((A_95 $$unsorted)) (or (not (is_int A_95)) (= A_95 (hAPP_int_int (plus_plus_int (number_number_of_int pls)) A_95))) ) 0.81/1.06 ( pls ) 0.81/1.06 ( one_one_int ) 0.81/1.06 ( min ) 0.81/1.06 ( m ) 0.81/1.06 ( s ) 0.81/1.06 ( t ) 0.81/1.06 ( s1 ) 0.81/1.06 ( (undefined_int int) ) 0.81/1.06 ( skv_1 ) 0.81/1.06 ( skv_2 ) 0.81/1.06 ( skv_3 ) 0.81/1.06 ( skv_4 ) 0.81/1.06 ( skv_5 ) 0.81/1.06 ( skv_6 ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 X_1))) (not (hBOOL (hAPP_int_bool _let_0 Y_1))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int X_1) Y_1)))) )) 0.81/1.06 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.06 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (power_power_int A_73))) (forall ((A_73 $$unsorted) (N_21 $$unsorted) (N_20 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat N_21) N_20))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) A_73))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A_73) one_one_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_nat_int _let_0 N_20)) (hAPP_nat_int _let_0 N_21)))) )) 0.81/1.06 ( zero_zero_int, zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.06 ) 0.81/1.06 (instantiation (let ((_let_0 (hBOOL P_2))) (let ((_let_1 (hBOOL P_5))) (let ((_let_2 (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) X_2))))) (forall ((P_5 $$unsorted) (P_2 $$unsorted) (X_2 $$unsorted)) (or (and (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) X_2)) (= (not _let_1) _let_0)) (= (or _let_2 _let_0) (or _let_2 _let_1))) )))) 0.81/1.06 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int pls)), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int pls)), (number_number_of_int pls) ) 0.81/1.06 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int pls)), (let ((_let_0 (bit0 (bit1 pls)))) (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 _let_0))) m)) one_one_int)) (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat _let_0))) (number_number_of_int min)))), (number_number_of_int pls) ) 0.81/1.07 ( (let ((_let_0 (bit0 (bit1 pls)))) (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 _let_0))) m)) one_one_int)) (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat _let_0))) (number_number_of_int min)))), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int pls)), s ) 0.81/1.07 ( (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t)), (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t)), (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.07 ( (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t)), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) pls), (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.07 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) pls), (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t)), min ) 0.81/1.07 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) one_one_int), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) one_one_int), one_one_int ) 0.81/1.07 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) one_one_int), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) t), one_one_int ) 0.81/1.07 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) t), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) one_one_int), (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.07 ( (hAPP_int_bool (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) (number_number_of_int min)), (hAPP_int_bool (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) (number_number_of_int min)), skv_1 ) 0.81/1.07 ( (hAPP_int_bool (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) (number_number_of_int min)), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int min) min), skv_1 ) 0.81/1.07 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int min) min), (hAPP_int_bool (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) (number_number_of_int min)), skv_2 ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_r1134773055l_bool ord_less_eq_real one_one_real))) (forall ((N_12 $$unsorted) (A_62 $$unsorted)) (or (not (hBOOL (hAPP_real_bool _let_0 A_62))) (hBOOL (hAPP_real_bool _let_0 (hAPP_nat_real (power_power_real A_62) N_12)))) )) 0.81/1.07 ( zero_zero_nat, zero_zero_real ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (number_number_of_int W_16))) (forall ((W_16 $$unsorted)) (= (hAPP_int_int (times_times_int _let_0) _let_0) (hAPP_nat_int (power_power_int _let_0) (number_number_of_nat (bit0 (bit1 pls))))) )) 0.81/1.07 ( pls ) 0.81/1.07 ( (bit1 pls) ) 0.81/1.07 ( (bit0 (bit1 pls)) ) 0.81/1.07 ( (bit1 (bit1 pls)) ) 0.81/1.07 ( min ) 0.81/1.07 ( (bit0 (bit0 (bit1 pls))) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (power_power_nat X_22))) (forall ((X_22 $$unsorted) (P_6 $$unsorted) (Q_6 $$unsorted)) (= (hAPP_nat_nat (times_times_nat (hAPP_nat_nat _let_0 P_6)) (hAPP_nat_nat _let_0 Q_6)) (hAPP_nat_nat _let_0 (hAPP_nat_nat (plus_plus_nat P_6) Q_6))) )) 0.81/1.07 ( zero_zero_nat, one_one_nat, one_one_nat ) 0.81/1.07 ( one_one_nat, one_one_nat, one_one_nat ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((A_2 $$unsorted)) (or (not (is_int A_2)) (= (= zero_zero_int (hAPP_int_int (plus_plus_int A_2) A_2)) (= zero_zero_int A_2))) ) 0.81/1.07 ( pls ) 0.81/1.07 ( one_one_int ) 0.81/1.07 ( min ) 0.81/1.07 ( m ) 0.81/1.07 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.07 ( s ) 0.81/1.07 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.07 ( t ) 0.81/1.07 ( s1 ) 0.81/1.07 ( (undefined_int int) ) 0.81/1.07 ( skv_1 ) 0.81/1.07 ( skv_2 ) 0.81/1.07 ( skv_3 ) 0.81/1.07 ( skv_4 ) 0.81/1.07 ( skv_5 ) 0.81/1.07 ( skv_6 ) 0.81/1.07 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((B_1_1 $$unsorted)) (or (not (is_int B_1_1)) (is_int (bit1 B_1_1))) ) 0.81/1.07 ( pls ) 0.81/1.07 ( (bit1 pls) ) 0.81/1.07 ( min ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_nat_real (power_power_real A_90) N_38))) (forall ((N_38 $$unsorted) (A_90 $$unsorted)) (or (not (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real one_one_real) A_90))) (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real _let_0) (hAPP_real_real (times_times_real A_90) _let_0)))) )) 0.81/1.07 ( zero_zero_nat, zero_zero_real ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (power_power_int A_61))) (forall ((A_61 $$unsorted) (N_11 $$unsorted) (N_10 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat N_11) N_10))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) A_61))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_nat_int _let_0 N_11)) (hAPP_nat_int _let_0 N_10)))) )) 0.81/1.07 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.07 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((A_99 $$unsorted)) (or (not (is_int A_99)) (= A_99 (hAPP_int_int (times_times_int one_one_int) A_99))) ) 0.81/1.07 ( pls ) 0.81/1.07 ( one_one_int ) 0.81/1.07 ( min ) 0.81/1.07 ( m ) 0.81/1.07 ( s ) 0.81/1.07 ( t ) 0.81/1.07 ( s1 ) 0.81/1.07 ( (undefined_int int) ) 0.81/1.07 ( skv_1 ) 0.81/1.07 ( skv_2 ) 0.81/1.07 ( skv_3 ) 0.81/1.07 ( skv_4 ) 0.81/1.07 ( skv_5 ) 0.81/1.07 ( skv_6 ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (bit1 pls))) (let ((_let_1 (power_power_int A))) (forall ((A $$unsorted)) (= (hAPP_int_int (times_times_int A) (hAPP_nat_int _let_1 (number_number_of_nat (bit0 _let_0)))) (hAPP_nat_int _let_1 (number_number_of_nat (bit1 _let_0)))) ))) 0.81/1.07 ( zero_zero_int ) 0.81/1.07 ( one_one_int ) 0.81/1.07 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.07 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( s ) 0.81/1.07 ( s1 ) 0.81/1.07 ( skv_3 ) 0.81/1.07 ( skv_5 ) 0.81/1.07 ( skv_6 ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((B_6 $$unsorted) (A_7 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) A_7))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int B_6) zero_zero_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (times_times_int A_7) B_6)) zero_zero_int))) ) 0.81/1.07 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.07 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((M $$unsorted) (X_1 $$unsorted)) (or (not (is_int X_1)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) X_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_1) M))) (not (hBOOL (hAPP_int_bool (zcong X_1 zero_zero_int) M))) (= zero_zero_int X_1)) ) 0.81/1.07 ( pls, pls ) 0.81/1.07 ( pls, min ) 0.81/1.07 ( one_one_int, pls ) 0.81/1.07 ( min, pls ) 0.81/1.07 ( min, min ) 0.81/1.07 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), pls ) 0.81/1.07 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s ) 0.81/1.07 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.81/1.07 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1 ) 0.81/1.07 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2 ) 0.81/1.07 ( t, one_one_int ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (or (not (is_int X_2)) (not (is_int Y_2)) (= (= X_2 Y_2) (= (number267125858f_real X_2) (number267125858f_real Y_2)))) ) 0.81/1.07 ( pls, s1 ) 0.81/1.07 ( zero_zero_int, (undefined_int int) ) 0.81/1.07 ( one_one_int, m ) 0.81/1.07 ( min, s ) 0.81/1.07 ( m, one_one_int ) 0.81/1.07 ( m, m ) 0.81/1.07 ( s, min ) 0.81/1.07 ( s, s ) 0.81/1.07 ( t, t ) 0.81/1.07 ( t, skv_1 ) 0.81/1.07 ( s1, pls ) 0.81/1.07 ( s1, s1 ) 0.81/1.07 ( (undefined_int int), zero_zero_int ) 0.81/1.07 ( (undefined_int int), (undefined_int int) ) 0.81/1.07 ( skv_1, t ) 0.81/1.07 ( skv_2, skv_2 ) 0.81/1.07 ( skv_2, skv_3 ) 0.81/1.07 ( skv_3, skv_2 ) 0.81/1.07 ( skv_4, skv_4 ) 0.81/1.07 ( skv_4, skv_5 ) 0.81/1.07 ( skv_5, skv_4 ) 0.81/1.07 ( skv_6, skv_6 ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((K_1 $$unsorted) (L $$unsorted)) (not (= (bit1 L) (bit0 K_1))) ) 0.81/1.07 ( pls, (bit1 pls) ) 0.81/1.07 ( (bit1 pls), pls ) 0.81/1.07 ( (bit0 (bit1 pls)), min ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool dvd_dvd_int P_1))) (forall ((M $$unsorted) (N_1 $$unsorted) (P_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool zprime P_1))) (not (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int M) N_1)))) (hBOOL (hAPP_int_bool _let_0 M)) (hBOOL (hAPP_int_bool _let_0 N_1))) )) 0.81/1.07 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((B_10 $$unsorted) (A_11 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A_11) zero_zero_int))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) B_10))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (times_times_int A_11) B_10)) zero_zero_int))) ) 0.81/1.07 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.07 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (number_number_of_nat W_1))) (forall ((A_2 $$unsorted) (W_1 $$unsorted)) (= (= zero_zero_real (hAPP_nat_real (power_power_real A_2) _let_0)) (and (not (= zero_zero_nat _let_0)) (= zero_zero_real A_2))) )) 0.81/1.07 ( zero_zero_real, pls ) 0.81/1.07 ( zero_zero_real, (bit0 (bit1 pls)) ) 0.81/1.07 ( one_one_real, (bit0 (bit1 pls)) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int V_7) V_8)))) (forall ((V_7 $$unsorted) (V_8 $$unsorted)) (= (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat (number_number_of_nat V_7)) (number_number_of_nat V_8))) (and (or (not _let_0) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) V_8))) _let_0)) )) 0.81/1.07 ( pls, pls ) 0.81/1.07 ( pls, (bit0 (bit1 pls)) ) 0.81/1.07 ( pls, one_one_int ) 0.81/1.07 ( pls, min ) 0.81/1.07 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( one_one_int, t ) 0.81/1.07 ( min, pls ) 0.81/1.07 ( min, min ) 0.81/1.07 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int one_one_int))) (forall ((N_12 $$unsorted) (A_62 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 A_62))) (hBOOL (hAPP_int_bool _let_0 (hAPP_nat_int (power_power_int A_62) N_12)))) )) 0.81/1.07 ( zero_zero_nat, zero_zero_int ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((B_18 $$unsorted) (A_20 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) A_20))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_18) zero_zero_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_int_int (times_times_int A_20) B_18)) zero_zero_int))) ) 0.81/1.07 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.07 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) M)) one_one_int))) (forall ((M $$unsorted)) (or (not (hBOOL (hAPP_int_bool zprime _let_0))) (= one_one_int (legendre (number_number_of_int min) _let_0))) )) 0.81/1.07 ( m ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat))) (forall ((X_2 $$unsorted) (N $$unsorted)) (= (or (= zero_zero_nat N) (hBOOL (hAPP_nat_bool _let_0 X_2))) (hBOOL (hAPP_nat_bool _let_0 (hAPP_nat_nat (power_power_nat X_2) N)))) )) 0.81/1.07 ( zero_zero_nat, zero_zero_nat ) 0.81/1.07 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.07 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((P_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool zprime P_1))) (hBOOL (hAPP_int_bool (zcong (zfact (hAPP_int_int (minus_minus_int P_1) one_one_int)) (number_number_of_int min)) P_1))) ) 0.81/1.07 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.07 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((A_85 $$unsorted) (N_32 $$unsorted) (B_54 $$unsorted)) (or (not (is_int B_54)) (not (is_int A_85)) (not (= (hAPP_nat_int (power_power_int A_85) N_32) (hAPP_nat_int (power_power_int B_54) N_32))) (not (hBOOL (hAPP_int_bool _let_0 A_85))) (not (hBOOL (hAPP_int_bool _let_0 B_54))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_32))) (= A_85 B_54)) )) 0.81/1.07 ( zero_zero_int, zero_zero_nat, pls ) 0.81/1.07 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))), s ) 0.81/1.07 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.81/1.07 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.81/1.07 ( s, (number_number_of_nat (bit0 (bit1 pls))), m ) 0.81/1.07 ( s1, (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.81/1.07 ( skv_3, (number_number_of_nat (bit0 (bit1 pls))), min ) 0.81/1.07 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.07 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))), (undefined_int int) ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((Ma $$unsorted) (N $$unsorted)) (= (and (= zero_zero_nat Ma) (= zero_zero_nat N)) (= zero_zero_nat (hAPP_nat_nat (plus_plus_nat Ma) N))) ) 0.81/1.07 ( one_one_nat, one_one_nat ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (let ((_let_1 (power_power_real A_103))) (forall ((A_103 $$unsorted) (N_39 $$unsorted)) (= (hAPP_nat_real _let_1 (hAPP_nat_nat (times_times_nat _let_0) N_39)) (hAPP_nat_real (power_power_real (hAPP_nat_real _let_1 N_39)) _let_0)) ))) 0.81/1.07 ( zero_zero_real, zero_zero_nat ) 0.81/1.07 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool dvd_dvd_int P_1))) (forall ((N_1 $$unsorted) (P_1 $$unsorted) (M $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) M))) (not (hBOOL (hAPP_int_bool zprime P_1))) (not (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int M) N_1)))) (hBOOL (hAPP_int_bool _let_0 M)) (hBOOL (hAPP_int_bool _let_0 N_1))) )) 0.81/1.07 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int B_48) Q_4)) R_3))) (forall ((B $$unsorted) (Q_1 $$unsorted) (R_1 $$unsorted) (B_48 $$unsorted) (Q_4 $$unsorted) (R_3 $$unsorted)) (or (not (= (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int B) Q_1)) R_1) _let_0)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int _let_0) zero_zero_int))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int R_1) B))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) R_3))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) B_48))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_48) B))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int Q_4) Q_1))) )) 0.81/1.07 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int, (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((V_21 $$unsorted)) (= (number_number_of_int (hAPP_int_int (plus_plus_int V_21) (bit1 pls))) (hAPP_int_int (plus_plus_int (number_number_of_int V_21)) one_one_int)) ) 0.81/1.07 ( (bit1 pls) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_15 $$unsorted) (Y_12 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_nat_int (power_power_int X_15) _let_0)) (hAPP_nat_int (power_power_int Y_12) _let_0)))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) Y_12))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int X_15) Y_12))) )) 0.81/1.07 ( zero_zero_int, zero_zero_int ) 0.81/1.07 ( zero_zero_int, one_one_int ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int zero_zero_int))) (forall ((B $$unsorted) (M $$unsorted) (A $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 A))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A) M))) (not (hBOOL (hAPP_int_bool _let_0 B))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int B) A))) (not (hBOOL (hAPP_int_bool (zcong A B) M)))) )) 0.81/1.07 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.07 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.07 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.07 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s1 ) 0.81/1.07 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.07 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s1 ) 0.81/1.07 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s1 ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((N_30 $$unsorted) (A_84 $$unsorted)) (or (= zero_zero_real A_84) (not (= zero_zero_real (hAPP_nat_real (power_power_real A_84) N_30)))) ) 0.81/1.07 ( zero_zero_nat, zero_zero_real ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (number267125858f_real W_5))) (forall ((W_5 $$unsorted)) (= (number267125858f_real (bit0 W_5)) (hAPP_real_real (plus_plus_real (hAPP_real_real (plus_plus_real zero_zero_real) _let_0)) _let_0)) )) 0.81/1.07 ( pls ) 0.81/1.07 ( (bit1 pls) ) 0.81/1.07 ( (bit0 (bit1 pls)) ) 0.81/1.07 ) 0.81/1.07 (instantiation (let ((_let_0 (power_power_int A_88))) (forall ((M_9 $$unsorted) (N_36 $$unsorted) (A_88 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) A_88))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_nat_int _let_0 M_9)) (hAPP_nat_int _let_0 N_36)))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat M_9) N_36))) )) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_int ) 0.81/1.07 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.07 ) 0.81/1.07 (instantiation (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (hAPP_int_bool (cOMBC_int_int_bool P Q) R) (hAPP_int_bool (hAPP_i1948725293t_bool P R) Q)) ) 0.81/1.07 ( ord_less_eq_int, pls, min ) 0.81/1.07 ( ord_less_eq_int, one_one_int, zero_zero_int ) 0.81/1.08 ( ord_less_eq_int, (number_number_of_int (bit1 (bit1 pls))), zero_zero_int ) 0.81/1.08 ( ord_less_eq_int, (number_number_of_int (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.08 ( ord_less_eq_int, min, zero_zero_int ) 0.81/1.08 ( ord_less_eq_int, min, min ) 0.81/1.08 ( ord_less_eq_int, (number_number_of_int pls), zero_zero_int ) 0.81/1.08 ( ord_less_eq_int, s, zero_zero_int ) 0.81/1.08 ( ord_less_eq_int, t, one_one_int ) 0.81/1.08 ( ord_less_eq_int, skv_1, zero_zero_int ) 0.81/1.08 ( ord_less_eq_int, skv_2, zero_zero_int ) 0.81/1.08 ( ord_less_int, pls, pls ) 0.81/1.08 ( ord_less_int, pls, min ) 0.81/1.08 ( ord_less_int, one_one_int, pls ) 0.81/1.08 ( ord_less_int, min, pls ) 0.81/1.08 ( ord_less_int, min, min ) 0.81/1.08 ( ord_less_int, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), pls ) 0.81/1.08 ( ord_less_int, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s ) 0.81/1.08 ( ord_less_int, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.81/1.08 ( ord_less_int, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1 ) 0.81/1.08 ( ord_less_int, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2 ) 0.81/1.08 ( ord_less_int, t, one_one_int ) 0.81/1.08 ( dvd_dvd_int, (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))) (number_number_of_int min)), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (power_power_nat X_24))) (forall ((X_24 $$unsorted) (P_7 $$unsorted) (Q_7 $$unsorted)) (= (hAPP_nat_nat _let_0 (hAPP_nat_nat (times_times_nat P_7) Q_7)) (hAPP_nat_nat (power_power_nat (hAPP_nat_nat _let_0 P_7)) Q_7)) )) 0.81/1.08 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.08 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hAPP_nat_nat (power_power_nat A_67) N_18))) (forall ((A_67 $$unsorted) (N_18 $$unsorted)) (= (hAPP_nat_nat (times_times_nat A_67) _let_0) (hAPP_nat_nat (times_times_nat _let_0) A_67)) )) 0.81/1.08 ( zero_zero_nat, zero_zero_nat ) 0.81/1.08 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((A $$unsorted) (P_1 $$unsorted)) (or (not (is_int A)) (not (hBOOL (hAPP_int_bool zprime P_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (number_number_of_int (bit1 (bit0 (bit1 pls))))) P_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) A))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A) P_1))) (= A (inv P_1 (inv P_1 A)))) ) 0.81/1.08 ( pls, pls ) 0.81/1.08 ( pls, one_one_int ) 0.81/1.08 ( pls, min ) 0.81/1.08 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( one_one_int, t ) 0.81/1.08 ( min, pls ) 0.81/1.08 ( min, min ) 0.81/1.08 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((N_29 $$unsorted)) (or (= zero_zero_nat N_29) (= zero_zero_int (hAPP_nat_int (power_power_int zero_zero_int) N_29))) ) 0.81/1.08 ( zero_zero_nat ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int K))) (forall ((P_2 $$unsorted) (K $$unsorted) (I_2 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 I_2))) (not (hBOOL (hAPP_int_bool P_2 (hAPP_int_int (plus_plus_int K) one_one_int)))) (not (forall ((I $$unsorted)) (or (not (is_int I)) (not (hBOOL (hAPP_int_bool _let_0 I))) (not (hBOOL (hAPP_int_bool P_2 I))) (hBOOL (hAPP_int_bool P_2 (hAPP_int_int (plus_plus_int I) one_one_int)))) )) (hBOOL (hAPP_int_bool P_2 I_2))) )) 0.81/1.08 ( zprime, one_one_int, t ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((B_29 $$unsorted) (A_31 $$unsorted)) (or (and (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A_31) zero_zero_int))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_29) zero_zero_int)))) (or (not (hBOOL (hAPP_int_bool _let_0 B_29))) (not (hBOOL (hAPP_int_bool _let_0 A_31))))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int A_31) B_29)))) )) 0.81/1.08 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.08 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((N $$unsorted) (P_2 $$unsorted)) (or (hBOOL (hAPP_nat_bool P_2 zero_zero_nat)) (not (hBOOL (hAPP_nat_bool P_2 N))) (not (forall ((K_2 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool P_2 (hAPP_nat_nat (plus_plus_nat K_2) one_one_nat)))) (not (forall ((I $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat I) K_2))) (not (hBOOL (hAPP_nat_bool P_2 I)))) )) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat K_2) N)))) ))) ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((B_1_1 $$unsorted)) (or (not (is_int B_1_1)) (is_int (bit0 B_1_1))) ) 0.81/1.08 ( pls ) 0.81/1.08 ( (bit1 pls) ) 0.81/1.08 ( (bit0 (bit1 pls)) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((X_1 $$unsorted)) (or (not (is_int X_1)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) X_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_1) (number_number_of_int (bit0 (bit1 pls)))))) (= zero_zero_int X_1) (= one_one_int X_1)) ) 0.81/1.08 ( pls ) 0.81/1.08 ( one_one_int ) 0.81/1.08 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.08 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.08 ( min ) 0.81/1.08 ( (number_number_of_int pls) ) 0.81/1.08 ( m ) 0.81/1.08 ( s ) 0.81/1.08 ( t ) 0.81/1.08 ( s1 ) 0.81/1.08 ( (undefined_int int) ) 0.81/1.08 ( skv_1 ) 0.81/1.08 ( skv_2 ) 0.81/1.08 ( skv_3 ) 0.81/1.08 ( skv_4 ) 0.81/1.08 ( skv_5 ) 0.81/1.08 ( skv_6 ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (or (= X_1 Y_1) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat X_1) Y_1)) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat Y_1) X_1))) ) 0.81/1.08 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (or (not (is_int X_2)) (not (is_int Y_2)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X_2) _let_0)) (hAPP_nat_int (power_power_int Y_2) _let_0)))) (or (not (= zero_zero_int Y_2)) (not (= zero_zero_int X_2))))) )) 0.81/1.08 ( one_one_int, one_one_int ) 0.81/1.08 ( s, one_one_int ) 0.81/1.08 ( skv_5, skv_6 ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((X_8 $$unsorted) (Y_7 $$unsorted)) (or (not (is_int Y_7)) (not (is_int X_8)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int X_8) Y_7))) (= X_8 Y_7) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_8) Y_7))) ) 0.81/1.08 ( pls, pls ) 0.81/1.08 ( pls, one_one_int ) 0.81/1.08 ( pls, min ) 0.81/1.08 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( zero_zero_int, one_one_int ) 0.81/1.08 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.08 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.08 ( zero_zero_int, min ) 0.81/1.08 ( zero_zero_int, (number_number_of_int pls) ) 0.81/1.08 ( zero_zero_int, s ) 0.81/1.08 ( zero_zero_int, skv_1 ) 0.81/1.08 ( zero_zero_int, skv_2 ) 0.81/1.08 ( one_one_int, t ) 0.81/1.08 ( min, pls ) 0.81/1.08 ( min, min ) 0.81/1.08 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((K_1 $$unsorted)) (= (hAPP_int_int (plus_plus_int (hAPP_int_int (plus_plus_int one_one_int) K_1)) K_1) (bit1 K_1)) ) 0.81/1.08 ( pls ) 0.81/1.08 ( (bit1 pls) ) 0.81/1.08 ( one_one_int ) 0.81/1.08 ( min ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((A_104 $$unsorted) (C_30 $$unsorted)) (= (hAPP_nat_nat (plus_plus_nat C_30) A_104) (hAPP_nat_nat (plus_plus_nat A_104) C_30)) ) 0.81/1.08 ( one_one_nat, one_one_nat ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((K_1 $$unsorted)) (not (= pls (bit1 K_1))) ) 0.81/1.08 ( pls ) 0.81/1.08 ( (bit1 pls) ) 0.81/1.08 ( min ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((A $$unsorted) (B $$unsorted)) (= (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int A) B)) (hAPP_int_int (minus_minus_int A) B)) (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int A) _let_0)) (hAPP_nat_int (power_power_int B) _let_0))) )) 0.81/1.08 ( one_one_int, one_one_int ) 0.81/1.08 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), one_one_int ) 0.81/1.08 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.81/1.08 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((W_15 $$unsorted)) (= (hAPP_int_int (plus_plus_int one_one_int) (number_number_of_int W_15)) (number_number_of_int (hAPP_int_int (plus_plus_int (bit1 pls)) W_15))) ) 0.81/1.08 ( (bit1 pls) ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int B_4))) (forall ((B_4 $$unsorted) (C_1 $$unsorted) (A_4 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) A_4))) (not (hBOOL (hAPP_int_bool _let_0 C_1))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (plus_plus_int A_4) C_1)))) )) 0.81/1.08 ( pls, one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.08 ( s, one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.08 ( t, one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.08 ( skv_1, one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.08 ( skv_2, one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (number_number_of_int min))) (forall ((Ma $$unsorted) (N $$unsorted)) (or (not (is_int N)) (not (is_int Ma)) (= (= one_one_int (hAPP_int_int (times_times_int Ma) N)) (or (and (= _let_0 N) (= _let_0 Ma)) (and (= one_one_int Ma) (= one_one_int N))))) )) 0.81/1.08 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.81/1.08 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.81/1.08 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((A_91 $$unsorted)) (= (hAPP_real_real (times_times_real (hAPP_real_real (times_times_real A_91) A_91)) A_91) (hAPP_nat_real (power_power_real A_91) (number_number_of_nat (bit1 (bit1 pls))))) ) 0.81/1.08 ( zero_zero_real ) 0.81/1.08 ( one_one_real ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((A_92 $$unsorted)) (or (not (is_int A_92)) (= A_92 (hAPP_int_int (times_times_int A_92) (number_number_of_int (bit1 pls))))) ) 0.81/1.08 ( pls ) 0.81/1.08 ( one_one_int ) 0.81/1.08 ( min ) 0.81/1.08 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.08 ( m ) 0.81/1.08 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( s ) 0.81/1.08 ( t ) 0.81/1.08 ( s1 ) 0.81/1.08 ( (undefined_int int) ) 0.81/1.08 ( skv_1 ) 0.81/1.08 ( skv_2 ) 0.81/1.08 ( skv_3 ) 0.81/1.08 ( skv_4 ) 0.81/1.08 ( skv_5 ) 0.81/1.08 ( skv_6 ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hAPP_nat_int (power_power_int A_71) N_19))) (forall ((N_19 $$unsorted) (A_71 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) A_71))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A_71) one_one_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (times_times_int A_71) _let_0)) _let_0))) )) 0.81/1.08 ( zero_zero_nat, zero_zero_int ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (let ((_let_1 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((X_14 $$unsorted) (Y_11 $$unsorted)) (or (not (is_int X_14)) (not (is_int Y_11)) (not (= (hAPP_nat_int (power_power_int X_14) _let_0) (hAPP_nat_int (power_power_int Y_11) _let_0))) (not (hBOOL (hAPP_int_bool _let_1 X_14))) (not (hBOOL (hAPP_int_bool _let_1 Y_11))) (= X_14 Y_11)) ))) 0.81/1.08 ( pls, s1 ) 0.81/1.08 ( zero_zero_int, (undefined_int int) ) 0.81/1.08 ( one_one_int, m ) 0.81/1.08 ( min, s ) 0.81/1.08 ( m, one_one_int ) 0.81/1.08 ( m, m ) 0.81/1.08 ( s, min ) 0.81/1.08 ( s, s ) 0.81/1.08 ( t, t ) 0.81/1.08 ( t, skv_1 ) 0.81/1.08 ( s1, pls ) 0.81/1.08 ( s1, s1 ) 0.81/1.08 ( (undefined_int int), zero_zero_int ) 0.81/1.08 ( (undefined_int int), (undefined_int int) ) 0.81/1.08 ( skv_1, t ) 0.81/1.08 ( skv_2, skv_2 ) 0.81/1.08 ( skv_2, skv_3 ) 0.81/1.08 ( skv_3, skv_2 ) 0.81/1.08 ( skv_4, skv_4 ) 0.81/1.08 ( skv_4, skv_5 ) 0.81/1.08 ( skv_5, skv_4 ) 0.81/1.08 ( skv_6, skv_6 ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((Z $$unsorted)) (not (= zero_zero_int (hAPP_int_int (plus_plus_int (hAPP_int_int (plus_plus_int one_one_int) Z)) Z))) ) 0.81/1.08 ( one_one_int ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((A_2 $$unsorted) (N $$unsorted)) (or (not (is_int A_2)) (= (= zero_zero_int (hAPP_nat_int (power_power_int A_2) N)) (and (= zero_zero_int A_2) (not (= zero_zero_nat N))))) ) 0.81/1.08 ( zero_zero_int, zero_zero_nat ) 0.81/1.08 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( s, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( s1, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( skv_3, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hAPP_r1134773055l_bool ord_less_real one_one_real))) (forall ((N_6 $$unsorted) (A_56 $$unsorted)) (or (not (hBOOL (hAPP_real_bool _let_0 A_56))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_6))) (hBOOL (hAPP_real_bool _let_0 (hAPP_nat_real (power_power_real A_56) N_6)))) )) 0.81/1.08 ( zero_zero_nat, zero_zero_real ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.81/1.08 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((A_93 $$unsorted)) (or (not (is_int A_93)) (= A_93 (hAPP_int_int (times_times_int (number_number_of_int (bit1 pls))) A_93))) ) 0.81/1.08 ( pls ) 0.81/1.08 ( one_one_int ) 0.81/1.08 ( min ) 0.81/1.08 ( m ) 0.81/1.08 ( s ) 0.81/1.08 ( t ) 0.81/1.08 ( s1 ) 0.81/1.08 ( (undefined_int int) ) 0.81/1.08 ( skv_1 ) 0.81/1.08 ( skv_2 ) 0.81/1.08 ( skv_3 ) 0.81/1.08 ( skv_4 ) 0.81/1.08 ( skv_5 ) 0.81/1.08 ( skv_6 ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((X_2 $$unsorted) (N $$unsorted) (Y_2 $$unsorted)) (= (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int N) (hAPP_int_int (minus_minus_int X_2) Y_2))) (= (hAPP_int_int (div_mod_int Y_2) N) (hAPP_int_int (div_mod_int X_2) N))) ) 0.81/1.08 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (number_number_of_int min) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((A_70 $$unsorted)) (= A_70 (hAPP_nat_real (power_power_real A_70) one_one_nat)) ) 0.81/1.08 ( zero_zero_real ) 0.81/1.08 ( one_one_real ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((B_1_1 $$unsorted)) (or (not (is_int B_1_1)) (is_int (number_number_of_int B_1_1))) ) 0.81/1.08 ( pls ) 0.81/1.08 ( (bit1 pls) ) 0.81/1.08 ( (bit0 (bit1 pls)) ) 0.81/1.08 ( (bit1 (bit1 pls)) ) 0.81/1.08 ( min ) 0.81/1.08 ( (bit0 (bit0 (bit1 pls))) ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hAPP_r1134773055l_bool ord_less_eq_real zero_zero_real))) (let ((_let_1 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_14 $$unsorted) (Y_11 $$unsorted)) (or (not (= (hAPP_nat_real (power_power_real Y_11) _let_1) (hAPP_nat_real (power_power_real X_14) _let_1))) (not (hBOOL (hAPP_real_bool _let_0 X_14))) (not (hBOOL (hAPP_real_bool _let_0 Y_11))) (= X_14 Y_11)) ))) 0.81/1.08 ( zero_zero_real, zero_zero_real ) 0.81/1.08 ( zero_zero_real, one_one_real ) 0.81/1.08 ( one_one_real, zero_zero_real ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hAPP_r1134773055l_bool ord_less_eq_real zero_zero_real))) (forall ((A_85 $$unsorted) (N_32 $$unsorted) (B_54 $$unsorted)) (or (not (= (hAPP_nat_real (power_power_real A_85) N_32) (hAPP_nat_real (power_power_real B_54) N_32))) (not (hBOOL (hAPP_real_bool _let_0 A_85))) (not (hBOOL (hAPP_real_bool _let_0 B_54))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_32))) (= A_85 B_54)) )) 0.81/1.08 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.81/1.08 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.81/1.08 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((W_6 $$unsorted)) (= (number_number_of_int (bit0 W_6)) (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int one_one_int) one_one_int)) (number_number_of_int W_6))) ) 0.81/1.08 ( pls ) 0.81/1.08 ( (bit1 pls) ) 0.81/1.08 ( (bit0 (bit1 pls)) ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((Ma $$unsorted) (K $$unsorted) (N $$unsorted)) (= (= Ma N) (= (hAPP_nat_nat (plus_plus_nat N) K) (hAPP_nat_nat (plus_plus_nat Ma) K))) ) 0.81/1.08 ( one_one_nat, one_one_nat, one_one_nat ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((B $$unsorted) (A $$unsorted) (C $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A) C))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int B) C))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B) A)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A) B))) ) 0.81/1.08 ( pls, pls, pls ) 0.81/1.08 ( one_one_int, pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( min, s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.08 ( s, pls, one_one_int ) 0.81/1.08 ( t, min, pls ) 0.81/1.08 ( skv_1, min, min ) 0.81/1.08 ( skv_2, one_one_int, t ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (or (not (is_int M)) (not (= one_one_int (hAPP_int_int (times_times_int M) N_1))) (= one_one_int M) (= (number_number_of_int min) M)) ) 0.81/1.08 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.81/1.08 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.81/1.08 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_4 ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real zero_zero_real) (hAPP_real_real (plus_plus_real (hAPP_nat_real (power_power_real X_2) _let_0)) (hAPP_nat_real (power_power_real Y_2) _let_0)))) (or (not (= zero_zero_real Y_2)) (not (= zero_zero_real X_2)))) )) 0.81/1.08 ( one_one_real, one_one_real ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((V_5 $$unsorted) (W_3 $$unsorted)) (= (hAPP_real_real (minus_minus_real (number267125858f_real V_5)) (number267125858f_real W_3)) (number267125858f_real (hAPP_int_int (minus_minus_int V_5) W_3))) ) 0.81/1.08 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool P_2 N) Ma)))) (let ((_let_1 (not _let_0))) (forall ((P_2 $$unsorted) (Ma $$unsorted) (N $$unsorted)) (or (and (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat Ma) N)) _let_1) (and (= Ma N) _let_1) (and (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat N) Ma)) _let_1) _let_0) ))) 0.81/1.08 ( ord_less_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.81/1.08 ) 0.81/1.08 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (hAPP_nat_nat (minus_minus_nat (hAPP_nat_nat (power_power_nat X_1) _let_0)) (hAPP_nat_nat (power_power_nat Y_1) _let_0)) (hAPP_nat_nat (times_times_nat (hAPP_nat_nat (plus_plus_nat X_1) Y_1)) (hAPP_nat_nat (minus_minus_nat X_1) Y_1))) )) 0.81/1.08 ( one_one_nat, one_one_nat ) 0.81/1.08 ) 0.81/1.08 (instantiation (forall ((A_97 $$unsorted) (M_12 $$unsorted)) (= (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int A_97) M_12)) M_12) (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int A_97) one_one_int)) M_12)) ) 0.81/1.09 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m ) 0.81/1.09 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), t ) 0.81/1.09 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), skv_4 ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((K_1 $$unsorted)) (not (= min (bit0 K_1))) ) 0.81/1.09 ( pls ) 0.81/1.09 ( (bit1 pls) ) 0.81/1.09 ( (bit0 (bit1 pls)) ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (or (not (is_int B_2_1)) (is_int (hAPP_int_int B_1_1 B_2_1))) ) 0.81/1.09 ( (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))), m ) 0.81/1.09 ( (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)), one_one_int ) 0.81/1.09 ( (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))), (number_number_of_int min) ) 0.81/1.09 ( (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)), t ) 0.81/1.09 ( (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)), skv_4 ) 0.81/1.09 ( (plus_plus_int one_one_int), one_one_int ) 0.81/1.09 ( (plus_plus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls))))), one_one_int ) 0.81/1.09 ( (plus_plus_int (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls))))), (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((Z $$unsorted) (W $$unsorted)) (or (not (is_int Z)) (not (is_int W)) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int Z) W))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int W) Z))) (= Z W)) ) 0.81/1.09 ( pls, min ) 0.81/1.09 ( zero_zero_int, one_one_int ) 0.81/1.09 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.81/1.09 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.81/1.09 ( zero_zero_int, min ) 0.81/1.09 ( zero_zero_int, (number_number_of_int pls) ) 0.81/1.09 ( zero_zero_int, s ) 0.81/1.09 ( zero_zero_int, skv_1 ) 0.81/1.09 ( zero_zero_int, skv_2 ) 0.81/1.09 ( one_one_int, zero_zero_int ) 0.81/1.09 ( one_one_int, t ) 0.81/1.09 ( (number_number_of_int (bit1 (bit1 pls))), zero_zero_int ) 0.81/1.09 ( (number_number_of_int (bit0 (bit1 pls))), zero_zero_int ) 0.81/1.09 ( min, pls ) 0.81/1.09 ( min, zero_zero_int ) 0.81/1.09 ( min, min ) 0.81/1.09 ( (number_number_of_int pls), zero_zero_int ) 0.81/1.09 ( s, zero_zero_int ) 0.81/1.09 ( t, one_one_int ) 0.81/1.09 ( skv_1, zero_zero_int ) 0.81/1.09 ( skv_2, zero_zero_int ) 0.81/1.09 ) 0.81/1.09 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((B_30 $$unsorted) (A_32 $$unsorted)) (or (and (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A_32) zero_zero_int))) (not (hBOOL (hAPP_int_bool _let_0 B_30)))) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_30) zero_zero_int))) (not (hBOOL (hAPP_int_bool _let_0 A_32))))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int (hAPP_int_int (times_times_int A_32) B_30)) zero_zero_int))) )) 0.81/1.09 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.09 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A) (hAPP_int_int (minus_minus_int B) one_one_int)))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A) B))) ) 0.81/1.09 ( pls, pls ) 0.81/1.09 ( pls, one_one_int ) 0.81/1.09 ( pls, min ) 0.81/1.09 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( one_one_int, t ) 0.81/1.09 ( min, pls ) 0.81/1.09 ( min, min ) 0.81/1.09 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ) 0.81/1.09 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((N_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 (number_number_of_int N_1)))) (and (hBOOL (hAPP_int_bool _let_0 (number_number_of_int (bit0 N_1)))) (hBOOL (hAPP_int_bool _let_0 (number_number_of_int (bit1 N_1)))))) )) 0.81/1.09 ( pls ) 0.81/1.09 ( (bit1 pls) ) 0.81/1.09 ( (bit0 (bit1 pls)) ) 0.81/1.09 ( min ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat M) N_1))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_eq_nat M) N_1))) ) 0.81/1.09 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.81/1.09 ) 0.81/1.09 (instantiation (let ((_let_0 (bit0 (bit1 pls)))) (let ((_let_1 (number_number_of_nat _let_0))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (hAPP_int_int (plus_plus_int (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X_2) _let_1)) (hAPP_nat_int (power_power_int Y_2) _let_1))) (hAPP_int_int (times_times_int (hAPP_int_int (times_times_int (number_number_of_int _let_0)) X_2)) Y_2)) (hAPP_nat_int (power_power_int (hAPP_int_int (plus_plus_int X_2) Y_2)) _let_1)) ))) 0.81/1.09 ( one_one_int, one_one_int ) 0.81/1.09 ( s, one_one_int ) 0.81/1.09 ( skv_5, skv_6 ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((N_28 $$unsorted) (A_83 $$unsorted) (B_53 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A_83) B_53))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) A_83))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_28))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_nat_int (power_power_int A_83) N_28)) (hAPP_nat_int (power_power_int B_53) N_28)))) ) 0.81/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int, zero_zero_int ) 0.81/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int, one_one_int ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((N_29 $$unsorted)) (or (= zero_zero_nat N_29) (= zero_zero_real (hAPP_nat_real (power_power_real zero_zero_real) N_29))) ) 0.81/1.09 ( zero_zero_nat ) 0.81/1.09 ) 0.81/1.09 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int pls))) (forall ((V_20 $$unsorted) (V_19 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 V_19))) (not (hBOOL (hAPP_int_bool _let_0 V_20))) (= (hAPP_real_real (times_times_real (number267125858f_real V_19)) (number267125858f_real V_20)) (number267125858f_real (hAPP_int_int (times_times_int V_19) V_20)))) )) 0.81/1.09 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.81/1.09 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((X1 $$unsorted) (X2 $$unsorted) (Ma $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) Ma))) (= (= (standardRes Ma X2) (standardRes Ma X1)) (hBOOL (hAPP_int_bool (zcong X1 X2) Ma)))) ) 0.81/1.09 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( s1, s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( s1, skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( s1, skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( (hAPP_nat_int (power_power_int s1) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ( (hAPP_nat_int (power_power_int skv_3) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((B_48 $$unsorted) (Q_4 $$unsorted) (R_3 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int B_48) Q_4)) R_3)) zero_zero_int))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) R_3))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) B_48))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int Q_4) zero_zero_int))) ) 0.81/1.09 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.81/1.09 ) 0.81/1.09 (instantiation (forall ((M_10 $$unsorted)) (= (hAPP_nat_nat (plus_plus_nat M_10) M_10) (hAPP_nat_nat (times_times_nat (hAPP_nat_nat (plus_plus_nat one_one_nat) one_one_nat)) M_10)) ) 0.93/1.09 ( one_one_nat ) 0.93/1.09 ) 0.93/1.09 (instantiation (forall ((B_21 $$unsorted) (A_23 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int A_23) zero_zero_int))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_21) zero_zero_int))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (hAPP_int_int (times_times_int A_23) B_21)))) ) 0.93/1.09 ( m, (number_number_of_int (bit0 (bit0 (bit1 pls)))) ) 0.93/1.09 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.09 ( skv_4, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (= zero_zero_real (hAPP_real_real (plus_plus_real (hAPP_nat_real (power_power_real X_2) _let_0)) (hAPP_nat_real (power_power_real Y_2) _let_0))) (and (= zero_zero_real Y_2) (= zero_zero_real X_2))) )) 0.93/1.09 ( one_one_real, one_one_real ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (let ((_let_1 (power_power_int A_103))) (forall ((A_103 $$unsorted) (N_39 $$unsorted)) (= (hAPP_nat_int _let_1 (hAPP_nat_nat (times_times_nat _let_0) N_39)) (hAPP_nat_int (power_power_int (hAPP_nat_int _let_1 N_39)) _let_0)) ))) 0.93/1.09 ( zero_zero_int, zero_zero_nat ) 0.93/1.09 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int V_6) pls)))) (let ((_let_1 (hAPP_nat_nat (plus_plus_nat (number_number_of_nat V)) (number_number_of_nat V_6)))) (forall ((V_6 $$unsorted) (V $$unsorted)) (or (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int V) pls)) (and (or (not _let_0) (= (number_number_of_nat V) _let_1)) (or _let_0 (= _let_1 (number_number_of_nat (hAPP_int_int (plus_plus_int V) V_6)))))) ))) 0.93/1.09 ( (bit1 pls), (bit1 pls) ) 0.93/1.09 ( one_one_int, one_one_int ) 0.93/1.09 ( one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.93/1.09 ( one_one_int, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.93/1.09 ( (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (number_number_of_nat V_6))) (forall ((V_6 $$unsorted) (V $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int V) pls))) (= _let_0 (hAPP_nat_nat (plus_plus_nat (number_number_of_nat V)) _let_0))) )) 0.93/1.09 ( (bit1 pls), (bit1 pls) ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int one_one_int))) (forall ((N_6 $$unsorted) (A_56 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 A_56))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_6))) (hBOOL (hAPP_int_bool _let_0 (hAPP_nat_int (power_power_int A_56) N_6)))) )) 0.93/1.09 ( zero_zero_nat, zero_zero_int ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (number_number_of_nat (bit0 (bit1 pls))))) (forall ((X $$unsorted) (Y $$unsorted)) (not (= (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X) _let_0)) (hAPP_nat_int (power_power_int Y) _let_0)))) )) 0.93/1.09 ( one_one_int, one_one_int ) 0.93/1.09 ( s, one_one_int ) 0.93/1.09 ( skv_5, skv_6 ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (number_number_of_int W_7))) (forall ((W_7 $$unsorted)) (= (hAPP_int_int (plus_plus_int (hAPP_int_int (plus_plus_int one_one_int) _let_0)) _let_0) (number_number_of_int (bit1 W_7))) )) 0.93/1.09 ( pls ) 0.93/1.09 ( (bit1 pls) ) 0.93/1.09 ( min ) 0.93/1.09 ) 0.93/1.09 (instantiation (forall ((A $$unsorted) (P_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (zcong A zero_zero_int) P_1))) (= zero_zero_int (legendre A P_1))) ) 0.93/1.09 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (legendre A P_1))) (let ((_let_1 (hBOOL (hAPP_int_bool (quadRes P_1) A)))) (forall ((A $$unsorted) (P_1 $$unsorted)) (or (hBOOL (hAPP_int_bool (zcong A zero_zero_int) P_1)) (and (or _let_1 (= (number_number_of_int min) _let_0)) (or (not _let_1) (= one_one_int _let_0)))) ))) 0.93/1.09 ( (number_number_of_int min), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 X_1))) (not (hBOOL (hAPP_int_bool _let_0 Y_1))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (plus_plus_int X_1) Y_1)))) )) 0.93/1.09 ( one_one_int, one_one_int ) 0.93/1.09 ( one_one_int, (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m) ) 0.93/1.09 ( one_one_int, (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.93/1.09 ( (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.93/1.09 ) 0.93/1.09 (instantiation (forall ((M $$unsorted) (X_1 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) X_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int X_1) M))) (not (hBOOL (hAPP_int_bool (zcong X_1 zero_zero_int) M)))) ) 0.93/1.09 ( pls, pls ) 0.93/1.09 ( pls, min ) 0.93/1.09 ( one_one_int, pls ) 0.93/1.09 ( min, pls ) 0.93/1.09 ( min, min ) 0.93/1.09 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), pls ) 0.93/1.09 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), s ) 0.93/1.09 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), t ) 0.93/1.09 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_1 ) 0.93/1.09 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), skv_2 ) 0.93/1.09 ( t, one_one_int ) 0.93/1.09 ) 0.93/1.09 (instantiation (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (or (not (is_int Y_2)) (not (is_int X_2)) (= (= (number_number_of_int X_2) (number_number_of_int Y_2)) (= X_2 Y_2))) ) 0.93/1.09 ( pls, s1 ) 0.93/1.09 ( zero_zero_int, (undefined_int int) ) 0.93/1.09 ( one_one_int, m ) 0.93/1.09 ( min, s ) 0.93/1.09 ( m, one_one_int ) 0.93/1.09 ( m, m ) 0.93/1.09 ( s, min ) 0.93/1.09 ( s, s ) 0.93/1.09 ( t, t ) 0.93/1.09 ( t, skv_1 ) 0.93/1.09 ( s1, pls ) 0.93/1.09 ( s1, s1 ) 0.93/1.09 ( (undefined_int int), zero_zero_int ) 0.93/1.09 ( (undefined_int int), (undefined_int int) ) 0.93/1.09 ( skv_1, t ) 0.93/1.09 ( skv_2, skv_2 ) 0.93/1.09 ( skv_2, skv_3 ) 0.93/1.09 ( skv_3, skv_2 ) 0.93/1.09 ( skv_4, skv_4 ) 0.93/1.09 ( skv_4, skv_5 ) 0.93/1.09 ( skv_5, skv_4 ) 0.93/1.09 ( skv_6, skv_6 ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (hAPP_n1699378549t_bool ord_less_eq_nat zero_zero_nat))) (forall ((A_85 $$unsorted) (N_32 $$unsorted) (B_54 $$unsorted)) (or (not (= (hAPP_nat_nat (power_power_nat A_85) N_32) (hAPP_nat_nat (power_power_nat B_54) N_32))) (not (hBOOL (hAPP_nat_bool _let_0 A_85))) (not (hBOOL (hAPP_nat_bool _let_0 B_54))) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_32))) (= A_85 B_54)) )) 0.93/1.09 ( zero_zero_nat, zero_zero_nat, zero_zero_nat ) 0.93/1.09 ( zero_zero_nat, zero_zero_nat, one_one_nat ) 0.93/1.09 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.93/1.09 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.93/1.09 ) 0.93/1.09 (instantiation (forall ((A_112 $$unsorted)) (= (hAPP_real_real (times_times_real A_112) A_112) (hAPP_nat_real (power_power_real A_112) (number_number_of_nat (bit0 (bit1 pls))))) ) 0.93/1.09 ( zero_zero_real ) 0.93/1.09 ( one_one_real ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (hAPP_nat_int (power_power_int A_90) N_38))) (forall ((N_38 $$unsorted) (A_90 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) A_90))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int _let_0) (hAPP_int_int (times_times_int A_90) _let_0)))) )) 0.93/1.09 ( zero_zero_nat, zero_zero_int ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (hAPP_r1134773055l_bool ord_less_real one_one_real))) (forall ((N_37 $$unsorted) (A_89 $$unsorted)) (or (not (hBOOL (hAPP_real_bool _let_0 A_89))) (hBOOL (hAPP_real_bool _let_0 (hAPP_real_real (times_times_real A_89) (hAPP_nat_real (power_power_real A_89) N_37))))) )) 0.93/1.09 ( zero_zero_nat, zero_zero_real ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.93/1.09 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.93/1.09 ) 0.93/1.09 (instantiation (forall ((Z_4 $$unsorted)) (= (hAPP_nat_nat (times_times_nat Z_4) (number_number_of_nat (bit0 (bit1 pls)))) (hAPP_nat_nat (plus_plus_nat Z_4) Z_4)) ) 0.93/1.09 ( one_one_nat ) 0.93/1.09 ) 0.93/1.09 (instantiation (let ((_let_0 (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) X_2)))) (let ((_let_1 (hBOOL P_5))) (let ((_let_2 (hBOOL P_2))) (forall ((P_5 $$unsorted) (P_2 $$unsorted) (X_2 $$unsorted)) (or (and _let_0 (= (not _let_2) _let_1)) (= (and _let_0 _let_1) (and _let_0 _let_2))) )))) 0.93/1.09 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int pls)), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int pls)), (number_number_of_int pls) ) 0.93/1.09 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int pls)), (let ((_let_0 (bit0 (bit1 pls)))) (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 _let_0))) m)) one_one_int)) (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat _let_0))) (number_number_of_int min)))), s ) 0.93/1.09 ( (let ((_let_0 (bit0 (bit1 pls)))) (hAPP_int_bool (hAPP_i1948725293t_bool dvd_dvd_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 _let_0))) m)) one_one_int)) (hAPP_int_int (minus_minus_int (hAPP_nat_int (power_power_int s) (number_number_of_nat _let_0))) (number_number_of_int min)))), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) (number_number_of_int pls)), (number_number_of_int pls) ) 0.93/1.09 ( (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t)), (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t)), (number_number_of_int (bit0 (bit1 pls))) ) 0.93/1.09 ( (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t)), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) pls), min ) 0.93/1.09 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int pls) pls), (hAPP_int_bool twoSqu1154269391sum2sq (hAPP_int_int (times_times_int (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) t)), (number_number_of_int (bit0 (bit1 pls))) ) 0.93/1.09 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) one_one_int), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) one_one_int), one_one_int ) 0.93/1.09 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) one_one_int), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) t), (number_number_of_int (bit1 (bit1 pls))) ) 0.93/1.09 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int one_one_int) t), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) one_one_int), one_one_int ) 0.93/1.09 ( (hAPP_int_bool (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) (number_number_of_int min)), (hAPP_int_bool (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) (number_number_of_int min)), skv_1 ) 0.93/1.10 ( (hAPP_int_bool (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) (number_number_of_int min)), (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int min) min), skv_2 ) 0.93/1.10 ( (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int min) min), (hAPP_int_bool (quadRes (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int)) (number_number_of_int min)), skv_1 ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((Z $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted) (M $$unsorted)) (or (not (hBOOL (hAPP_int_bool (zcong X_1 Y_1) M))) (hBOOL (hAPP_int_bool (zcong (hAPP_nat_int (power_power_int X_1) Z) (hAPP_nat_int (power_power_int Y_1) Z)) M))) ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), s, s1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((B $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) B))) (= (hAPP_int_int (minus_minus_int B) one_one_int) (hAPP_int_int (div_mod_int (number_number_of_int min)) B))) ) 0.93/1.10 ( pls ) 0.93/1.10 ( one_one_int ) 0.93/1.10 ( min ) 0.93/1.10 ( (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((A $$unsorted) (B $$unsorted)) (or (not (is_int A)) (= A (hAPP_int_int (plus_plus_int (hAPP_int_int (minus_minus_int A) B)) B))) ) 0.93/1.10 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), (number_number_of_int min) ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((B_2 $$unsorted) (A_2 $$unsorted)) (or (not (is_int B_2)) (not (is_int A_2)) (= (= zero_zero_int A_2) (= B_2 (hAPP_int_int (plus_plus_int B_2) A_2)))) ) 0.93/1.10 ( one_one_int, one_one_int ) 0.93/1.10 ( (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m), one_one_int ) 0.93/1.10 ( (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))), one_one_int ) 0.93/1.10 ( (hAPP_nat_int (power_power_int skv_5) (number_number_of_nat (bit0 (bit1 pls)))), (hAPP_nat_int (power_power_int skv_6) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((M $$unsorted) (N_1 $$unsorted)) (or (not (= M (hAPP_nat_nat (plus_plus_nat M) N_1))) (= zero_zero_nat N_1)) ) 0.93/1.10 ( one_one_nat, one_one_nat ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (power_power_real A_2))) (forall ((Ma $$unsorted) (N $$unsorted) (A_2 $$unsorted)) (or (not (hBOOL (hAPP_real_bool (hAPP_r1134773055l_bool ord_less_real one_one_real) A_2))) (= (= Ma N) (= (hAPP_nat_real _let_0 N) (hAPP_nat_real _let_0 Ma)))) )) 0.93/1.10 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat, zero_zero_real ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), zero_zero_real ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), (number_number_of_nat (bit0 (bit1 pls))), one_one_real ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((N_1 $$unsorted)) (or (= zero_zero_nat N_1) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_1))) ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((Z_1 $$unsorted) (W_1 $$unsorted)) (or (not (is_int Z_1)) (not (is_int W_1)) (= (and (not (= Z_1 W_1)) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int Z_1) W_1))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int Z_1) W_1)))) ) 0.93/1.10 ( pls, pls ) 0.93/1.10 ( pls, one_one_int ) 0.93/1.10 ( pls, min ) 0.93/1.10 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( zero_zero_int, one_one_int ) 0.93/1.10 ( zero_zero_int, (number_number_of_int (bit1 (bit1 pls))) ) 0.93/1.10 ( zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.93/1.10 ( zero_zero_int, min ) 0.93/1.10 ( zero_zero_int, (number_number_of_int pls) ) 0.93/1.10 ( zero_zero_int, s ) 0.93/1.10 ( zero_zero_int, skv_1 ) 0.93/1.10 ( zero_zero_int, skv_2 ) 0.93/1.10 ( one_one_int, t ) 0.93/1.10 ( min, pls ) 0.93/1.10 ( min, min ) 0.93/1.10 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int K))) (forall ((P_2 $$unsorted) (K $$unsorted) (I_2 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 I_2))) (not (hBOOL (hAPP_int_bool P_2 K))) (not (forall ((I $$unsorted)) (or (not (is_int I)) (not (hBOOL (hAPP_int_bool _let_0 I))) (not (hBOOL (hAPP_int_bool P_2 I))) (hBOOL (hAPP_int_bool P_2 (hAPP_int_int (plus_plus_int I) one_one_int)))) )) (hBOOL (hAPP_int_bool P_2 I_2))) )) 0.93/1.10 ( (hAPP_i1948725293t_bool ord_less_int zero_zero_int), one_one_int, t ) 0.93/1.10 ( (hAPP_i1948725293t_bool ord_less_int pls), zero_zero_int, s ) 0.93/1.10 ( (hAPP_i1948725293t_bool ord_less_eq_int pls), min, pls ) 0.93/1.10 ( (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int), zero_zero_int, (number_number_of_int pls) ) 0.93/1.10 ( (hAPP_i1948725293t_bool ord_less_eq_int min), zero_zero_int, (number_number_of_int (bit0 (bit1 pls))) ) 0.93/1.10 ( (hAPP_i1948725293t_bool ord_less_eq_int min), min, min ) 0.93/1.10 ( (hAPP_i1948725293t_bool ord_less_int min), zero_zero_int, min ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((X_9 $$unsorted) (N_5 $$unsorted)) (or (and (not (= one_one_nat X_9)) (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat zero_zero_nat) N_5)))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool dvd_dvd_nat X_9) (hAPP_nat_nat (power_power_nat X_9) N_5)))) ) 0.93/1.10 ( zero_zero_nat, zero_zero_nat ) 0.93/1.10 ( zero_zero_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ( one_one_nat, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool dvd_dvd_int A_34))) (forall ((C_15 $$unsorted) (A_34 $$unsorted) (B_31 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 B_31))) (not (hBOOL (hAPP_int_bool _let_0 C_15))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (plus_plus_int B_31) C_15)))) )) 0.93/1.10 ( one_one_int, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_nat_int (power_power_int s) (number_number_of_nat (bit0 (bit1 pls)))) ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((A_112 $$unsorted)) (= (hAPP_nat_nat (power_power_nat A_112) (number_number_of_nat (bit0 (bit1 pls)))) (hAPP_nat_nat (times_times_nat A_112) A_112)) ) 0.93/1.10 ( zero_zero_nat ) 0.93/1.10 ( one_one_nat ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_nat_int (power_power_int A_67) N_18))) (forall ((A_67 $$unsorted) (N_18 $$unsorted)) (= (hAPP_int_int (times_times_int A_67) _let_0) (hAPP_int_int (times_times_int _let_0) A_67)) )) 0.93/1.10 ( zero_zero_int, zero_zero_nat ) 0.93/1.10 ( zero_zero_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ( one_one_int, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ( s, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ( s1, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ( skv_3, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ( skv_5, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ( skv_6, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_int one_one_int))) (forall ((N_37 $$unsorted) (A_89 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 A_89))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int A_89) (hAPP_nat_int (power_power_int A_89) N_37))))) )) 0.93/1.10 ( zero_zero_nat, zero_zero_int ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_int ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_int ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), s ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), s1 ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), skv_3 ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), skv_5 ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), skv_6 ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_nat_nat (power_power_nat A_90) N_38))) (forall ((N_38 $$unsorted) (A_90 $$unsorted)) (or (not (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat one_one_nat) A_90))) (hBOOL (hAPP_nat_bool (hAPP_n1699378549t_bool ord_less_nat _let_0) (hAPP_nat_nat (times_times_nat A_90) _let_0)))) )) 0.93/1.10 ( zero_zero_nat, zero_zero_nat ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), zero_zero_nat ) 0.93/1.10 ( (number_number_of_nat (bit0 (bit1 pls))), one_one_nat ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((K $$unsorted) (L_1 $$unsorted)) (or (not (is_int K)) (not (is_int L_1)) (= (= K L_1) (= (bit0 K) (bit0 L_1)))) ) 0.93/1.10 ( pls, s1 ) 0.93/1.10 ( zero_zero_int, (undefined_int int) ) 0.93/1.10 ( one_one_int, m ) 0.93/1.10 ( min, s ) 0.93/1.10 ( m, one_one_int ) 0.93/1.10 ( m, m ) 0.93/1.10 ( s, min ) 0.93/1.10 ( s, s ) 0.93/1.10 ( t, t ) 0.93/1.10 ( t, skv_1 ) 0.93/1.10 ( s1, pls ) 0.93/1.10 ( s1, s1 ) 0.93/1.10 ( (undefined_int int), zero_zero_int ) 0.93/1.10 ( (undefined_int int), (undefined_int int) ) 0.93/1.10 ( skv_1, t ) 0.93/1.10 ( skv_2, skv_2 ) 0.93/1.10 ( skv_2, skv_3 ) 0.93/1.10 ( skv_3, skv_2 ) 0.93/1.10 ( skv_4, skv_4 ) 0.93/1.10 ( skv_4, skv_5 ) 0.93/1.10 ( skv_5, skv_4 ) 0.93/1.10 ( skv_6, skv_6 ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((A_91 $$unsorted)) (= (hAPP_nat_nat (times_times_nat (hAPP_nat_nat (times_times_nat A_91) A_91)) A_91) (hAPP_nat_nat (power_power_nat A_91) (number_number_of_nat (bit1 (bit1 pls))))) ) 0.93/1.10 ( zero_zero_nat ) 0.93/1.10 ( one_one_nat ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((W_15 $$unsorted)) (= (hAPP_real_real (plus_plus_real one_one_real) (number267125858f_real W_15)) (number267125858f_real (hAPP_int_int (plus_plus_int (bit1 pls)) W_15))) ) 0.93/1.10 ( (bit1 pls) ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (number267125858f_real W_7))) (forall ((W_7 $$unsorted)) (= (hAPP_real_real (plus_plus_real (hAPP_real_real (plus_plus_real one_one_real) _let_0)) _let_0) (number267125858f_real (bit1 W_7))) )) 0.93/1.10 ( pls ) 0.93/1.10 ( (bit1 pls) ) 0.93/1.10 ( min ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool dvd_dvd_int A_37))) (forall ((C_16 $$unsorted) (A_37 $$unsorted) (B_34 $$unsorted)) (or (not (hBOOL (hAPP_int_bool _let_0 B_34))) (hBOOL (hAPP_int_bool _let_0 (hAPP_int_int (times_times_int B_34) C_16)))) )) 0.93/1.10 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int), (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (bit0 (bit1 pls)))) (let ((_let_1 (number_number_of_nat _let_0))) (forall ((X_7 $$unsorted) (Y_6 $$unsorted)) (= (hAPP_int_int (minus_minus_int (hAPP_int_int (plus_plus_int (hAPP_nat_int (power_power_int X_7) _let_1)) (hAPP_nat_int (power_power_int Y_6) _let_1))) (hAPP_int_int (times_times_int (hAPP_int_int (times_times_int (number_number_of_int _let_0)) X_7)) Y_6)) (hAPP_nat_int (power_power_int (hAPP_int_int (minus_minus_int X_7) Y_6)) _let_1)) ))) 0.93/1.10 ( one_one_int, one_one_int ) 0.93/1.10 ( s, one_one_int ) 0.93/1.10 ( skv_5, skv_6 ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int))) (let ((_let_1 (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int B_48) Q_4)) R_3))) (forall ((B $$unsorted) (Q_1 $$unsorted) (R_1 $$unsorted) (B_48 $$unsorted) (Q_4 $$unsorted) (R_3 $$unsorted)) (or (not (= _let_1 (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int B) Q_1)) R_1))) (not (hBOOL (hAPP_int_bool _let_0 _let_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int R_3) B_48))) (not (hBOOL (hAPP_int_bool _let_0 R_1))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int zero_zero_int) B_48))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_48) B))) (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int Q_1) Q_4))) ))) 0.93/1.10 ( (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int, (number_number_of_int (bit0 (bit0 (bit1 pls)))), m, one_one_int ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((A_2 $$unsorted) (B_2 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int one_one_int) B_2))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int B_2) A_2))) (hBOOL (member_int B_2 (d22set A_2)))) ) 0.93/1.10 ( pls, min ) 0.93/1.10 ( one_one_int, zero_zero_int ) 0.93/1.10 ( (number_number_of_int (bit1 (bit1 pls))), zero_zero_int ) 0.93/1.10 ( (number_number_of_int (bit0 (bit1 pls))), zero_zero_int ) 0.93/1.10 ( min, zero_zero_int ) 0.93/1.10 ( min, min ) 0.93/1.10 ( (number_number_of_int pls), zero_zero_int ) 0.93/1.10 ( s, zero_zero_int ) 0.93/1.10 ( t, one_one_int ) 0.93/1.10 ( skv_1, zero_zero_int ) 0.93/1.10 ( skv_2, zero_zero_int ) 0.93/1.10 ) 0.93/1.10 (instantiation (forall ((A_2 $$unsorted) (B_2 $$unsorted)) (or (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int A_2) B_2))) (not (hBOOL (member_int B_2 (d22set A_2))))) ) 0.93/1.10 ( pls, pls ) 0.93/1.10 ( pls, one_one_int ) 0.93/1.10 ( pls, min ) 0.93/1.10 ( pls, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( one_one_int, t ) 0.93/1.10 ( min, pls ) 0.93/1.10 ( min, min ) 0.93/1.10 ( s, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( t, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( skv_1, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ( skv_2, (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int) ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_nat_real (power_power_real A_67) N_18))) (forall ((A_67 $$unsorted) (N_18 $$unsorted)) (= (hAPP_real_real (times_times_real A_67) _let_0) (hAPP_real_real (times_times_real _let_0) A_67)) )) 0.93/1.10 ( zero_zero_real, zero_zero_nat ) 0.93/1.10 ( zero_zero_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ( one_one_real, (number_number_of_nat (bit0 (bit1 pls))) ) 0.93/1.10 ) 0.93/1.10 (instantiation (let ((_let_0 (hAPP_int_int (plus_plus_int (hAPP_int_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls))))) m)) one_one_int))) (forall ((Y $$unsorted)) (or (not (is_int Y)) (not (hBOOL (hAPP_int_bool (zcong s1 Y) _let_0))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_int Y) _let_0))) (not (hBOOL (hAPP_int_bool (hAPP_i1948725293t_bool ord_less_eq_int zero_zero_int) Y))) (= Y skv_1)) )) 0.93/1.10 ( pls ) 0.93/1.10 ( one_one_int ) 0.93/1.10 ( (number_number_of_int (bit1 (bit1 pls))) ) 0.93/1.10 ( (number_number_of_int (bit0 (bit1 pls))) ) 0.93/1.10 ( min ) 0.93/1.10 ( (number_number_of_int pls) ) 0.93/1.10 ( m ) 0.93/1.10 ( s ) 0.93/1.10 ( t ) 0.93/1.10 ( s1 ) 0.93/1.10 ( (undefined_int int) ) 0.93/1.10 ( skv_1 ) 0.93/1.10 ( skv_2 ) 0.93/1.10 ( skv_3 ) 0.93/1.10 ( skv_4 ) 0.93/1.10 ( skv_5 ) 0.93/1.10 ( skv_6 ) 0.93/1.10 ) 0.93/1.10 % SZS output end Proof for theBenchmark 0.93/1.11 EOF